From b35d25aca62cd4595086e1a8b6496a11d766dbc6 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Mon, 13 Jan 2020 16:51:28 +0100 Subject: [PATCH 01/86] Updated README.MD --- README.MD | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/README.MD b/README.MD index e1a9bbbba..d8d0eeaca 100644 --- a/README.MD +++ b/README.MD @@ -2,7 +2,7 @@ [![license: GPLv3](https://img.shields.io/badge/license-GPLv3-brightgreen.svg)](https://github.com/FeynCalc/feyncalc/blob/master/LICENSE) [![latest release](https://img.shields.io/github/release/FeynCalc/feyncalc.svg)](https://github.com/FeynCalc/feyncalc/releases) -![compatibility](https://img.shields.io/badge/Mathematica-8.x_9.x_10.x_11.x-brightgreen.svg) +![compatibility](https://img.shields.io/badge/Mathematica-8.x_9.x_10.x_11.x_12.x-brightgreen.svg) [FeynCalc](http://www.feyncalc.org/) is a Mathematica package for symbolic evaluation of Feynman diagrams and @@ -14,8 +14,9 @@ Visit our [wiki](https://github.com/FeynCalc/feyncalc/wiki) to learn more about Development of FeynCalc costs a lot of effort and is done on a largely voluntarily basis. To support the developers and increase their academic visibility, please acknowledge our work -when you use FeynCalc in your research. You can do so by citing the two FeynCalc papers: +when you use FeynCalc in your research. You can do so by citing the following FeynCalc papers: +* V. Shtabovenko, R. Mertig and F. Orellana, P3H-20-002, TTP19-020, TUM-EFT 130/19, arXiv:2001.xxxxx. * V. Shtabovenko, R. Mertig and F. Orellana, "New Developments in FeynCalc 9.0", Comput. Phys. Commun., 207, 432--444, 2016, arXiv:1601.01167. @@ -27,11 +28,11 @@ Comput. Phys. Commun., 64, 345--359, 1991. FeynCalc is covered by the GNU General Public License 3. -Copyright (C) 1990-2018 Rolf Mertig +Copyright (C) 1990-2020 Rolf Mertig -Copyright (C) 1997-2018 Frederik Orellana +Copyright (C) 1997-2020 Frederik Orellana -Copyright (C) 2014-2018 Vladyslav Shtabovenko +Copyright (C) 2014-2020 Vladyslav Shtabovenko FeynCalc is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as From 4b32e419bba5a18858d7f7af424c1768bf43d56f Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Mon, 13 Jan 2020 16:52:17 +0100 Subject: [PATCH 02/86] Updated the dev version number to 9.4. --- FeynCalc/FeynCalc.m | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FeynCalc/FeynCalc.m b/FeynCalc/FeynCalc.m index c63fe0df8..dcbd36161 100644 --- a/FeynCalc/FeynCalc.m +++ b/FeynCalc/FeynCalc.m @@ -44,7 +44,7 @@ ]; (* Set the version number *) -FeynCalc`$FeynCalcVersion = "9.3.0"; +FeynCalc`$FeynCalcVersion = "9.4.0"; If[ !ValueQ[Global`$FeynCalcStartupMessages], FeynCalc`$FeynCalcStartupMessages = True, From 1d5c9302fd4f341e2ec27bd848e3233c3ecd3f87 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Tue, 14 Jan 2020 12:47:40 +0100 Subject: [PATCH 03/86] Updated arXiv preprint number. --- FeynCalc/FeynCalc.m | 2 +- README.MD | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/FeynCalc/FeynCalc.m b/FeynCalc/FeynCalc.m index dcbd36161..3565b4fd5 100644 --- a/FeynCalc/FeynCalc.m +++ b/FeynCalc/FeynCalc.m @@ -297,7 +297,7 @@ Style[" If you use FeynCalc in your research, please cite","Text"]]; - Print [Style[" \[Bullet] V. Shtabovenko, R. Mertig and F. Orellana, P3H-20-002, TTP19-020, TUM-EFT 130/19, arXiv:2001.xxxxx","Text"]]; + Print [Style[" \[Bullet] V. Shtabovenko, R. Mertig and F. Orellana, P3H-20-002, TTP19-020, TUM-EFT 130/19, arXiv:2001.04407","Text"]]; Print [Style[" \[Bullet] V. Shtabovenko, R. Mertig and F. Orellana, Comput. Phys. Commun., 207, 432-444, 2016, arXiv:1601.01167","Text"]]; Print [Style[" \[Bullet] R. Mertig, M. B\[ODoubleDot]hm, and A. Denner, Comput. Phys. Commun., 64, 345-359, 1991.","Text"]] ]; diff --git a/README.MD b/README.MD index d8d0eeaca..416433ca4 100644 --- a/README.MD +++ b/README.MD @@ -16,7 +16,7 @@ Development of FeynCalc costs a lot of effort and is done on a largely voluntari To support the developers and increase their academic visibility, please acknowledge our work when you use FeynCalc in your research. You can do so by citing the following FeynCalc papers: -* V. Shtabovenko, R. Mertig and F. Orellana, P3H-20-002, TTP19-020, TUM-EFT 130/19, arXiv:2001.xxxxx. +* V. Shtabovenko, R. Mertig and F. Orellana, P3H-20-002, TTP19-020, TUM-EFT 130/19, arXiv:2001.04407. * V. Shtabovenko, R. Mertig and F. Orellana, "New Developments in FeynCalc 9.0", Comput. Phys. Commun., 207, 432--444, 2016, arXiv:1601.01167. From 5c425eaea7daa5d217ee33e2f574117568ddeb3b Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Tue, 21 Jan 2020 16:24:01 +0100 Subject: [PATCH 04/86] Replaced remaining instances of MapThread[...] with Thread[Rule[a,b]]. --- FeynCalc/Dirac/DiracChainJoin.m | 4 ++-- FeynCalc/Feynman/FCFADiracChainJoin.m | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/FeynCalc/Dirac/DiracChainJoin.m b/FeynCalc/Dirac/DiracChainJoin.m index b1d733ee8..0df91217a 100644 --- a/FeynCalc/Dirac/DiracChainJoin.m +++ b/FeynCalc/Dirac/DiracChainJoin.m @@ -120,9 +120,9 @@ FCPrint[1, "DiracChainJoin: Inserting Dirac objects back.", FCDoControl->dchjVerbose]; time=AbsoluteTime[]; - repRule = MapThread[Rule[#1,#2]&,{diracObjects,diracObjectsEval}]; + repRule = Thread[Rule[diracObjects,diracObjectsEval]]; FCPrint[3,"DiracChainJoin: repRule: ",repRule , FCDoControl->dchjVerbose]; - res = ( tmp/.repRule); + res = (tmp/. Dispatch[repRule]); FCPrint[1, "DiracChainJoin: Done inserting Dirac objects back, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dchjVerbose], (*Fast mode*) diff --git a/FeynCalc/Feynman/FCFADiracChainJoin.m b/FeynCalc/Feynman/FCFADiracChainJoin.m index c8fd52a27..97695bbde 100644 --- a/FeynCalc/Feynman/FCFADiracChainJoin.m +++ b/FeynCalc/Feynman/FCFADiracChainJoin.m @@ -133,7 +133,7 @@ FCPrint[1, "FCFADiracChainJoin: Inserting Dirac objects back.", FCDoControl->dchjVerbose]; time=AbsoluteTime[]; - repRule = MapThread[Rule[#1,#2]&,{diracObjects,diracObjectsEval}]; + repRule = Thread[Rule[diracObjects,diracObjectsEval]]; FCPrint[3,"FCFADiracChainJoin: repRule: ",repRule , FCDoControl->dchjVerbose]; res = ( tmp/. Dispatch[repRule]); FCPrint[1, "FCFADiracChainJoin: Done inserting Dirac objects back, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dchjVerbose]; From 764c9e52a079eafd56ff35f3a5df5dc6bfae3883 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Mon, 27 Jan 2020 12:36:23 +0100 Subject: [PATCH 05/86] Updated documentation on PolarizationVector to clarify the meaning of the option Transversality->True. --- .../Symbols/DoPolarizationSums.nb | 15 +- .../Symbols/PolarizationVector.nb | 232 +++++++++++++++++- FeynCalc/Examples/QCD/Tree/QGl-QGl-2.m | 156 ++++++++++++ FeynCalc/Examples/QCD/Tree/QQbar-GlGl-2.m | 153 ++++++++++++ Tests/examples.sh | 4 +- 5 files changed, 553 insertions(+), 7 deletions(-) create mode 100644 FeynCalc/Examples/QCD/Tree/QGl-QGl-2.m create mode 100644 FeynCalc/Examples/QCD/Tree/QQbar-GlGl-2.m diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/DoPolarizationSums.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/DoPolarizationSums.nb index 649244fb9..25ed36329 100644 --- a/FeynCalc/DocSource/English/ReferencePages/Symbols/DoPolarizationSums.nb +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/DoPolarizationSums.nb @@ -530,7 +530,16 @@ Cell[BoxData[ TraditionalForm], TraditionalForm]}]]}], TraditionalForm]], "Output", CellLabel->"Out[34]="] -}, Open ]] +}, Open ]], + +Cell["\<\ +You can also use this trick in QCD, provided that unphysical degress of \ +freedom are subtracted using ghosts at a later stage. Notice that in this \ +case you should not make the polarization vectors transverse using the \ +Transversality option. Furthermore, the averaging over the polarizations of \ +the initial gluons must done on the physical amplitude squared, i.e. after \ +the ghost contributions have been subtracted.\ +\>", "Notes"] }, Open ]], Cell[CellGroupData[{ @@ -2472,13 +2481,13 @@ Cell[BoxData[ }, Open ]] }, WindowSize->{877, 832}, -WindowMargins->{{1351, Automatic}, {155, Automatic}}, +WindowMargins->{{354, Automatic}, {Automatic, 16}}, Visible->True, PrivateNotebookOptions->{"FileOutlineCache"->False}, CreateCellID->False, CellContext->"Global`", TrackCellChangeTimes->False, -FrontEndVersion->"10.3 for Linux x86 (64-bit) (December 10, 2015)", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions->FrontEnd`FileName[{"Wolfram"}, "FunctionPageStyles.nb", CharacterEncoding -> "UTF-8"] ] diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/PolarizationVector.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/PolarizationVector.nb index 2a5fcf01a..e1405fb76 100644 --- a/FeynCalc/DocSource/English/ReferencePages/Symbols/PolarizationVector.nb +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/PolarizationVector.nb @@ -409,6 +409,234 @@ Cell[BoxData[ FormBox["0", TraditionalForm]], "Output", CellTags->"PolarizationVector", CellLabel->"Out[15]="] +}, Open ]], + +Cell[TextData[{ + "Suppose that you are using unphysical polarization vectors for massless \ +gauge bosons and intend to remove the unphysical degrees of freedom at a \ +later stage using ghosts. In this case you must not use ", + StyleBox["Transversality\[Rule]True", "InlineFormula"], + ", since your polarization vectors are not transverse. Otherwise the result \ +will be inconsistent." +}], "Notes"], + +Cell["\<\ +Here everything is correct, we can use the gauge trick with unphysical \ +polarization vectors.\ +\>", "Notes"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], ";", + RowBox[{ + RowBox[{"SP", "[", "k1", "]"}], "=", "0"}], ";", + RowBox[{ + RowBox[{"SP", "[", "k2", "]"}], "=", "0"}], ";"}]], "Input", + CellLabel->"In[27]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\:0435\:04451", "=", + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"k1", ",", + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "I"}], "]"}]}], "]"}], " ", + RowBox[{"SP", "[", + RowBox[{"k2", ",", + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", + RowBox[{"-", "I"}]}], "]"}]}], "]"}], " ", + RowBox[{"SP", "[", + RowBox[{"k1", ",", + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", "I"}], "]"}]}], "]"}], " ", + RowBox[{"SP", "[", + RowBox[{"k2", ",", + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "I"}]}], "]"}]}], "]"}]}]}]], "Input", + CellLabel->"In[28]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + OverscriptBox["\[CurlyEpsilon]", "_"], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + OverscriptBox["\[CurlyEpsilon]", "_"], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm]}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[28]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"\:0435\:04451", "//", + RowBox[{ + RowBox[{"DoPolarizationSums", "[", + RowBox[{"#", ",", "k1", ",", "0"}], "]"}], "&"}]}], "//", + RowBox[{ + RowBox[{"DoPolarizationSums", "[", + RowBox[{"#", ",", "k2", ",", "0"}], "]"}], "&"}]}]], "Input", + CellLabel->"In[29]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], TraditionalForm]], "Output", + CellLabel->"Out[29]="] +}, Open ]], + +Cell[TextData[{ + "Here we erroneously set ", + StyleBox["Transversality\[Rule]True", "InlineFormula"], + " and consequently obtain a wrong result. In pure QED the full result \ +(physical amplitude squared) would still come out correct owing to Ward \ +identities, but e.g. in QCD this would not be the case." +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\:0435\:04452", "=", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"k1", ",", + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "I", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}]}], "]"}], " ", + + RowBox[{"SP", "[", + RowBox[{"k2", ",", + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", + RowBox[{"-", "I"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}]}], "]"}], " ", + + RowBox[{"SP", "[", + RowBox[{"k1", ",", + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", "I", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}]}], "]"}], " ", + + RowBox[{"SP", "[", + RowBox[{"k2", ",", + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "I"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}]}], "]"}]}], "//", + "FCI"}]}]], "Input", + CellLabel->"In[30]:="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + CellLabel->"Out[30]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"\:0435\:04452", "//", + RowBox[{ + RowBox[{"DoPolarizationSums", "[", + RowBox[{"#", ",", "k1", ",", "0"}], "]"}], "&"}]}], "//", + RowBox[{ + RowBox[{"DoPolarizationSums", "[", + RowBox[{"#", ",", "k2", ",", "0"}], "]"}], "&"}]}]], "Input", + CellLabel->"In[31]:="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + CellLabel->"Out[31]="] }, Open ]] }, Open ]], @@ -473,13 +701,13 @@ Cell[BoxData[ }, Open ]] }, WindowSize->{700, 770}, -WindowMargins->{{634, Automatic}, {Automatic, 140}}, +WindowMargins->{{614, Automatic}, {28, Automatic}}, Visible->True, PrivateNotebookOptions->{"FileOutlineCache"->False}, CreateCellID->False, CellContext->"Global`", TrackCellChangeTimes->False, -FrontEndVersion->"10.3 for Linux x86 (64-bit) (December 10, 2015)", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions->FrontEnd`FileName[{"Wolfram"}, "FunctionPageStyles.nb", CharacterEncoding -> "UTF-8"] ] diff --git a/FeynCalc/Examples/QCD/Tree/QGl-QGl-2.m b/FeynCalc/Examples/QCD/Tree/QGl-QGl-2.m new file mode 100644 index 000000000..b54fe141e --- /dev/null +++ b/FeynCalc/Examples/QCD/Tree/QGl-QGl-2.m @@ -0,0 +1,156 @@ +(* ::Package:: *) + +(* :Title: QGl-QGl-2 *) + +(* + This software is covered by the GNU General Public License 3. + Copyright (C) 1990-2020 Rolf Mertig + Copyright (C) 1997-2020 Frederik Orellana + Copyright (C) 2014-2020 Vladyslav Shtabovenko +*) + +(* :Summary: Q Gl -> Q Gl with ghosts, QCD, matrix element squared, tree *) + +(* ------------------------------------------------------------------------ *) + + + +(* ::Title:: *) +(*Quark-gluon scattering*) + + +(* ::Section:: *) +(*Load FeynCalc and the necessary add-ons or other packages*) + + +description="Q Gl -> Q Gl with ghosts, QCD, matrix element squared, tree"; +If[ $FrontEnd === Null, + $FeynCalcStartupMessages = False; + Print[description]; +]; +If[ $Notebooks === False, + $FeynCalcStartupMessages = False +]; +$LoadAddOns={"FeynArts"}; +< 2], {F[3, {1}],V[5]}-> + {F[3, {1}],V[5]}, InsertionLevel -> {Classes}, Model -> "SMQCD"]; + +Paint[diags, ColumnsXRows -> {2, 2}, Numbering -> Simple, + SheetHeader->None,ImageSize->{512,512}]; + + +diagsGh1 = InsertFields[CreateTopologies[0, 2 -> 2], {F[3, {1}],U[5]}-> + {F[3, {1}],U[5]}, InsertionLevel -> {Classes}, Model -> "SMQCD"]; + +Paint[diagsGh1, ColumnsXRows -> {1, 1}, Numbering -> Simple, + SheetHeader->None,ImageSize->{256,256}]; + + +diagsGh2 = InsertFields[CreateTopologies[0, 2 -> 2], {F[3, {1}],-U[5]}-> + {F[3, {1}],-U[5]}, InsertionLevel -> {Classes}, Model -> "SMQCD"]; + +Paint[diagsGh2, ColumnsXRows -> {1, 1}, Numbering -> Simple, + SheetHeader->None,ImageSize->{256,256}]; + + +(* ::Section:: *) +(*Obtain the amplitude*) + + +amp[0] = FCFAConvert[CreateFeynAmp[diags], IncomingMomenta->{p1,k1}, + OutgoingMomenta->{p2,k2},UndoChiralSplittings->True,ChangeDimension->4, + List->False, SMP->True, Contract->True,DropSumOver->True] + + +ampGh1[0] = FCFAConvert[CreateFeynAmp[diagsGh1], IncomingMomenta->{p1,k1}, + OutgoingMomenta->{p2,k2},UndoChiralSplittings->True,ChangeDimension->4, + List->False, SMP->True, Contract->True,DropSumOver->True] + + +ampGh2[0] = FCFAConvert[CreateFeynAmp[diagsGh2], IncomingMomenta->{p1,k1}, + OutgoingMomenta->{p2,k2},UndoChiralSplittings->True,ChangeDimension->4, + List->False, SMP->True, Contract->True,DropSumOver->True] + + +(* ::Section:: *) +(*Fix the kinematics*) + + +FCClearScalarProducts[]; +SetMandelstam[s, t, u, p1, k1, -p2, -k2, SMP["m_u"], 0, SMP["m_u"], 0]; + + +(* ::Section:: *) +(*Square the amplitude*) + + +ampSquaredUnphys[0] = 1/(SUNN (SUNN^2-1))(amp[0] (ComplexConjugate[amp[0]]))// + FeynAmpDenominatorExplicit//SUNSimplify[#,Explicit->True, + SUNNToCACF->False]&//FermionSpinSum[#, ExtraFactor -> 1/2]&// + DiracSimplify//DoPolarizationSums[#,k1,0]&//DoPolarizationSums[#,k2,0]&// + TrickMandelstam[#,{s,t,u,2SMP["m_u"]^2}]&//Simplify + + +ampSquaredGh1[0] = 1/(SUNN (SUNN^2-1))(ampGh1[0] (ComplexConjugate[ampGh1[0]]))// + FeynAmpDenominatorExplicit//SUNSimplify[#,Explicit->True, + SUNNToCACF->False]&//FermionSpinSum[#, ExtraFactor -> 1/2]&// + DiracSimplify//TrickMandelstam[#,{s,t,u,2SMP["m_u"]^2}]&// + Simplify + + +ampSquaredGh2[0] = 1/(SUNN (SUNN^2-1))(ampGh2[0] (ComplexConjugate[ampGh2[0]]))// + FeynAmpDenominatorExplicit//SUNSimplify[#,Explicit->True, + SUNNToCACF->False]&//FermionSpinSum[#, ExtraFactor -> 1/2]&// + DiracSimplify//TrickMandelstam[#,{s,t,u,2SMP["m_u"]^2}]&// + Simplify + + +(* ::Text:: *) +(*Subtract unphysical degrees of freedom using ghost contributions. Notice that here the averaging over the polarizations of*) +(*the initial gluons is done only after the subtraction of the unphysical contributions.*) + + +ampSquared[0]=1/2(ampSquaredUnphys[0]-ampSquaredGh1[0]-ampSquaredGh2[0])// + Together + + +ampSquaredMassless[0] = ampSquared[0]//ReplaceAll[#,{SMP["m_u"] -> 0}]&// + Simplify + + +ampSquaredMasslessSUNN3[0] = ampSquaredMassless[0]/.SUNN->3 + + +(* ::Section:: *) +(*Check the final results*) + + +knownResults = { + -(4/9)SMP["g_s"]^4 (s^2+u^2)/(s u)+SMP["g_s"]^4 (u^2+s^2)/(t^2) +}; +FCCompareResults[{ampSquaredMasslessSUNN3[0]},{knownResults}, +Text->{"\tCompare to Ellis, Stirling and Weber, QCD and Collider Physics, \ +Table 7.1:", +"CORRECT.","WRONG!"}, Interrupt->{Hold[Quit[1]],Automatic},Factoring-> +Function[x,Simplify[TrickMandelstam[x,{s,t,u,0}]]]] +Print["\tCPU Time used: ", Round[N[TimeUsed[],3],0.001], " s."]; diff --git a/FeynCalc/Examples/QCD/Tree/QQbar-GlGl-2.m b/FeynCalc/Examples/QCD/Tree/QQbar-GlGl-2.m new file mode 100644 index 000000000..176d7641d --- /dev/null +++ b/FeynCalc/Examples/QCD/Tree/QQbar-GlGl-2.m @@ -0,0 +1,153 @@ +(* ::Package:: *) + +(* :Title: QQbar-GlGl-2 *) + +(* + This software is covered by the GNU General Public License 3. + Copyright (C) 1990-2020 Rolf Mertig + Copyright (C) 1997-2020 Frederik Orellana + Copyright (C) 2014-2020 Vladyslav Shtabovenko +*) + +(* :Summary: Q Qbar -> Gl Gl with ghosts, QCD, matrix element squared, + tree *) + +(* ------------------------------------------------------------------------ *) + + + +(* ::Title:: *) +(*Quark-antiquark pair annihilation into gluons*) + + +(* ::Section:: *) +(*Load FeynCalc and the necessary add-ons or other packages*) + + +description="Q Qbar -> Gl Gl with ghosts, QCD, matrix element squared, tree"; +If[ $FrontEnd === Null, + $FeynCalcStartupMessages = False; + Print[description]; +]; +If[ $Notebooks === False, + $FeynCalcStartupMessages = False +]; +$LoadAddOns={"FeynArts"}; +< 2], {F[3, {1}], -F[3, {1}]} -> + {V[5], V[5]}, InsertionLevel -> {Classes}, Model -> "SMQCD"]; + +Paint[diags, ColumnsXRows -> {2, 1}, Numbering -> Simple, + SheetHeader->None,ImageSize->{512,256}]; + + +diagsGh1 = InsertFields[CreateTopologies[0, 2 -> 2], {F[3, {1}], -F[3, {1}]} -> + {-U[5], U[5]}, InsertionLevel -> {Classes}, Model -> "SMQCD"]; +Paint[diagsGh1, ColumnsXRows -> {2, 1}, Numbering -> Simple, + SheetHeader->None,ImageSize->{512,256}]; + + +diagsGh2 = InsertFields[CreateTopologies[0, 2 -> 2], {F[3, {1}], -F[3, {1}]} -> + {U[5], -U[5]}, InsertionLevel -> {Classes}, Model -> "SMQCD"]; +Paint[diagsGh2, ColumnsXRows -> {2, 1}, Numbering -> Simple, + SheetHeader->None,ImageSize->{512,256}]; + + +(* ::Section:: *) +(*Obtain the amplitudes*) + + +amp[0] = FCFAConvert[CreateFeynAmp[diags], IncomingMomenta->{p1,p2}, + OutgoingMomenta->{k1,k2},UndoChiralSplittings->True,ChangeDimension->4, + List->False, SMP->True, Contract->True,DropSumOver->True] + + +ampGh1[0] = FCFAConvert[CreateFeynAmp[diagsGh1], IncomingMomenta->{p1,p2}, + OutgoingMomenta->{k1,k2},UndoChiralSplittings->True,ChangeDimension->4, + List->False, SMP->True, Contract->True,DropSumOver->True] + + +ampGh2[0] = FCFAConvert[CreateFeynAmp[diagsGh2], IncomingMomenta->{p1,p2}, + OutgoingMomenta->{k1,k2},UndoChiralSplittings->True,ChangeDimension->4, + List->False, SMP->True, Contract->True,DropSumOver->True] + + +(* ::Section:: *) +(*Fix the kinematics*) + + +FCClearScalarProducts[]; +SetMandelstam[s, t, u, p1, p2, -k1, -k2, SMP["m_u"], SMP["m_u"], 0, 0]; + + +(* ::Section:: *) +(*Square the amplitudes*) + + +ampSquaredUnphys[0] = 1/(SUNN^2)(amp[0] (ComplexConjugate[amp[0]]))// + FeynAmpDenominatorExplicit//SUNSimplify[#,Explicit->True, + SUNNToCACF->False]&//FermionSpinSum[#, ExtraFactor -> 1/2^2]&// + DiracSimplify//DoPolarizationSums[#,k1,0]&// + DoPolarizationSums[#,k2,0]&//TrickMandelstam[#,{s,t,u,2 SMP["m_u"]^2}]&// + Simplify + + +ampSquaredGh1[0] = 1/(SUNN^2)(ampGh1[0] (ComplexConjugate[ampGh1[0]]))// + FeynAmpDenominatorExplicit//SUNSimplify[#,Explicit->True, + SUNNToCACF->False]&//FermionSpinSum[#, ExtraFactor -> 1/2^2]&// + DiracSimplify//TrickMandelstam[#,{s,t,u,2 SMP["m_u"]^2}]&// + Simplify + + +ampSquaredGh2[0] = 1/(SUNN^2)(ampGh1[0] (ComplexConjugate[ampGh1[0]]))// + FeynAmpDenominatorExplicit//SUNSimplify[#,Explicit->True, + SUNNToCACF->False]&//FermionSpinSum[#, ExtraFactor -> 1/2^2]&// + DiracSimplify//TrickMandelstam[#,{s,t,u,2 SMP["m_u"]^2}]&// + Simplify + + +(* ::Text:: *) +(*Subtract unphysical degrees of freedom using ghost contributions*) + + +ampSquared[0]=ampSquaredUnphys[0]-ampSquaredGh1[0]-ampSquaredGh2[0]//Together + + +ampSquaredMassless[0] = ampSquared[0]//ReplaceAll[#,{SMP["m_u"] -> 0}]&// + TrickMandelstam[#,{s,t,u,0}]& + + +ampSquaredMasslessSUNN3[0] = ampSquaredMassless[0]/.SUNN->3 + + +(* ::Section:: *) +(*Check the final results*) + + +knownResults = { + (32/27)SMP["g_s"]^4 (t^2+u^2)/(t u)-(8/3)SMP["g_s"]^4 (t^2+u^2)/(s^2) +}; +FCCompareResults[{ampSquaredMasslessSUNN3[0]},{knownResults}, +Text->{"\tCompare to Ellis, Stirling and Weber, QCD and Collider Physics, \ +Table 7.1:","CORRECT.","WRONG!"}, Interrupt->{Hold[Quit[1]],Automatic},Factoring-> +Function[x,Simplify[TrickMandelstam[x,{s,t,u,0}]]]] +Print["\tCPU Time used: ", Round[N[TimeUsed[],3],0.001], " s."]; diff --git a/Tests/examples.sh b/Tests/examples.sh index 9b1bd6ae8..69c21797f 100755 --- a/Tests/examples.sh +++ b/Tests/examples.sh @@ -84,9 +84,9 @@ done #QCD Examples #------------------------------------------------------------------------------- for exFile in 'ElAel-QQbar.m' 'GaGl-QQbar.m' 'Ga-QQbar.m' 'Ga-QQbarGl.m' \ -'GlGl-GlGl.m' 'GlGl-QQbar.m' 'MuAmu-QQbar.m' 'QGa-GlQ.m' 'QGl-QGl.m' \ +'GlGl-GlGl.m' 'GlGl-QQbar.m' 'MuAmu-QQbar.m' 'QGa-GlQ.m' 'QGl-QGl.m' 'QGl-QGl-2.m' \ 'QiQibar-QiQibar.m' 'QiQibar-QjQjbar.m' 'QiQi-QiQi.m' 'QiQjbar-QiQjbar.m' \ -'QiQj-QiQj.m' 'QQbar-ElAel.m' 'QQbar-GaGa.m' 'QQbar-GaGl.m' 'QQbar-GlGl.m' \ +'QiQj-QiQj.m' 'QQbar-ElAel.m' 'QQbar-GaGa.m' 'QQbar-GaGl.m' 'QQbar-GlGl.m' 'QQbar-GlGl-2.m' \ 'QQbar-MuAmu.m' do From 663c093bd5c39bdf02b754e52f946c0ccd1c4891 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 5 Feb 2020 18:42:47 +0100 Subject: [PATCH 06/86] Added a list of available datatypes that is shown when calling DataType[]. --- FeynCalc/Shared/DataType.m | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/FeynCalc/Shared/DataType.m b/FeynCalc/Shared/DataType.m index 8cfb43da7..a9dfdc03f 100644 --- a/FeynCalc/Shared/DataType.m +++ b/FeynCalc/Shared/DataType.m @@ -35,7 +35,8 @@ "DataType[exp, type] = True defines the object exp to have datatype type. \ DataType[exp1, exp2, ..., type] defines the objects exp1, exp2, ... to \ have datatype type. The default setting is DataType[__, _]:=False. \ -To assign a certain data type, do e.g.: DataType[x, PositiveInteger] = True."; +To assign a certain data type, do e.g.: DataType[x, PositiveInteger] = True. \n +DataType[] show the list of available datatypes."; Begin["`Package`"] End[] @@ -46,6 +47,16 @@ set::usage=""; +DataType[] = { + FreeIndex, + GrassmannParity, + NegativeInteger, + PositiveInteger, + PositiveNumber, + FCTensor, + FCVariable +} + DataType[_] := (Message[DataType::argrx, DataType, 1, "2 or more"]; Abort[]); From f742fb1c59f9a5133b2ff99001151c93a7443fcd Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 5 Feb 2020 18:43:35 +0100 Subject: [PATCH 07/86] Removed DocSource from export-ignore to avoid missing documentation when using automatic installer. --- .gitattributes | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.gitattributes b/.gitattributes index 98603d9fe..64f43ce43 100644 --- a/.gitattributes +++ b/.gitattributes @@ -6,7 +6,7 @@ *.conf linguist-language=Mathematica *.Fac linguist-language=Mathematica Tests export-ignore -FeynCalc/DocSource export-ignore +FeynCalc/DocSource FeynCalc/DocOutput export-ignore FeynCalc/Phi export-ignore install.m export-ignore From a96b2f7e0c722352094b67a3934902ca3c61c9d7 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 5 Feb 2020 18:48:08 +0100 Subject: [PATCH 08/86] Fix the previous commit for .gitignore. --- .gitattributes | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.gitattributes b/.gitattributes index 64f43ce43..ae9cbceb8 100644 --- a/.gitattributes +++ b/.gitattributes @@ -6,8 +6,8 @@ *.conf linguist-language=Mathematica *.Fac linguist-language=Mathematica Tests export-ignore -FeynCalc/DocSource -FeynCalc/DocOutput export-ignore +FeynCalc/DocSource export-ignore +FeynCalc/DocOutput FeynCalc/Phi export-ignore install.m export-ignore .project export-ignore From 78f972d32cdedeaa2abce9f98f2255759a722902 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Tue, 11 Feb 2020 17:42:34 +0100 Subject: [PATCH 09/86] Fixed a bug in ChangeDimension that introduced too strict constraints on the choice of the dimension (thanks to D. Azevedo). --- FeynCalc/Lorentz/ChangeDimension.m | 15 ++++++--------- Tests/Lorentz/ChangeDimension.test | 26 +++++++++++++++++++++++++- 2 files changed, 31 insertions(+), 10 deletions(-) diff --git a/FeynCalc/Lorentz/ChangeDimension.m b/FeynCalc/Lorentz/ChangeDimension.m index 21381f51f..4cfa839fb 100755 --- a/FeynCalc/Lorentz/ChangeDimension.m +++ b/FeynCalc/Lorentz/ChangeDimension.m @@ -47,19 +47,16 @@ exp to dimension dim (and thus also Dirac slashes and Dirac matrices \ expr = FCI[ex] ]; - Switch[ dim, - 4, - lorentzDim = 4; - cartesianDim = 3, + + Switch[Together[dim+4], + (* For dim being D-4 we need to put both Lorentz and Cartesian dimensions to D-4 *) _Symbol, - lorentzDim = dim; - cartesianDim = dim-1, - _Symbol -4, lorentzDim = dim; cartesianDim = dim, + (* Otherwise the Cartesian dimension is one unit less than the Lorentz dimension *) _, - Message[ChangeDimension::failmsg, "Unsupported choice of dimension!"]; - Abort[] + lorentzDim = dim; + cartesianDim = dim-1 ]; tmp = expr /. DiracChain -> holdDiracChain /. DiracGamma -> holdDiracGamma /. PauliSigma -> holdPauliSigma /. Pair-> holdPair /. CartesianPair->holdCartesianPair /. Eps -> holdEps; diff --git a/Tests/Lorentz/ChangeDimension.test b/Tests/Lorentz/ChangeDimension.test index 54bbe33eb..7752b1a51 100644 --- a/Tests/Lorentz/ChangeDimension.test +++ b/Tests/Lorentz/ChangeDimension.test @@ -194,5 +194,29 @@ MTD[mu,nu] f[D]},n]//Contract)", "{n, n*f[D]}"}, "ChangeDimension[CVE[p,q](a+b),D-4,FCE->True]", "(a + b)*CVE[p, q]"}, {"fcstChangeDimension-ID67", "ChangeDimension[DiracChain[DiracGamma[LorentzIndex[Lor1, D], D], -DiracIndex[QGIDirMinus2], DiracIndex[QGIDirMinus1]],4,FCE->True]", "DCHN[GA[Lor1], QGIDirMinus2, QGIDirMinus1]"} +DiracIndex[QGIDirMinus2], DiracIndex[QGIDirMinus1]],4,FCE->True]", "DCHN[GA[Lor1], QGIDirMinus2, QGIDirMinus1]"}, +{"fcstChangeDimension-ID68", +"ChangeDimension[GAD[mu],x-ep,FCE\[Rule]True]", +"DiracGamma[LorentzIndex[mu, -ep + x], -ep + x]"}, +{"fcstChangeDimension-ID69", +"ChangeDimension[GAD[mu],3,FCE\[Rule]True]", +"DiracGamma[LorentzIndex[mu, 3], 3]"}, +{"fcstChangeDimension-ID70", +"ChangeDimension[GAD[mu],a+b,FCE\[Rule]True]", +"DiracGamma[LorentzIndex[mu, a + b], a + b]"}, +{"fcstChangeDimension-ID71", +"ChangeDimension[GAD[mu],x-4,FCE\[Rule]True]", +"DiracGamma[LorentzIndex[mu, -4 + x], -4 + x]"}, +{"fcstChangeDimension-ID72", +"ChangeDimension[CGA[i],x-ep,FCE\[Rule]True]", +"DiracGamma[CartesianIndex[i, -1 - ep + x], -ep + x]"}, +{"fcstChangeDimension-ID73", +"ChangeDimension[CGA[i],3,FCE\[Rule]True]", +"DiracGamma[CartesianIndex[i, 2], 3]"}, +{"fcstChangeDimension-ID74", +"ChangeDimension[CGA[i],a+b,FCE\[Rule]True]", +"DiracGamma[CartesianIndex[i, -1 + a + b], a + b]"}, +{"fcstChangeDimension-ID75", +"ChangeDimension[CGA[i],x-4,FCE\[Rule]True]", +"DiracGamma[CartesianIndex[i, -4 + x], -4 + x]"} }); From dba1b6f14be76727a3b07c45dd9f70a222fc23af Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Tue, 11 Feb 2020 17:55:28 +0100 Subject: [PATCH 10/86] Fixed a bug in FeynRule that created incorrect output with SUN indices. --- FeynCalc/Feynman/FeynRule.m | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/FeynCalc/Feynman/FeynRule.m b/FeynCalc/Feynman/FeynRule.m index dead8d4d2..56e92c398 100755 --- a/FeynCalc/Feynman/FeynRule.m +++ b/FeynCalc/Feynman/FeynRule.m @@ -55,7 +55,7 @@ pluc[xx__] := If[ !FreeQ[{xx}, SUNIndex], Map[(#/.Plus->((Factor1 /@ Collect[Plus[##],Variables[Plus[##]]] )&))&, - Factor1 /@ Collect2[Plus[xx], SUNIndex|ExplicitSUNIndex, Factoring -> False]], + Factor1 /@ Collect2[Plus[xx], SUNIndex,ExplicitSUNIndex, Factoring -> False]], Map[Factor1, Collect2[Plus[xx], {Pair[LorentzIndex[_], LorentzIndex[_]] }, Factoring->False] ] @@ -96,7 +96,7 @@ ]; (* get a list of all LorentzIndex *) lorindlist = Cases2[nla, LorentzIndex]; - sunindlist = Cases2[nla, SUNIndex|ExplicitSUNIndex]; + sunindlist = Cases2[nla, SUNIndex,ExplicitSUNIndex]; (* select those which occur an even number of times *) newlorlist = {}; newsunlist = {}; @@ -508,7 +508,7 @@ FCPrint[1, "FeynRule: After DotSimplify ", nlag, FCDoControl->frVerbose]; If[ !FreeQ[nlag, SUNDelta], - nlag = Expand2[nlag, SUNIndex|ExplicitSUNIndex]/.SUNDelta-> SUNDeltaContract/. + nlag = Expand2[nlag, {SUNIndex,ExplicitSUNIndex}]/.SUNDelta-> SUNDeltaContract/. SUNDeltaContract->SUNDelta ]; @@ -746,8 +746,8 @@ ]; result = result /. Power2 -> Power, - If[ !FreeQ[result, SUNIndex|ExplicitSUNIndex], - result = Collect2[result, SUNIndex|ExplicitSUNIndex, Factoring -> False, Expanding -> False]; + If[ !FreeQ2[result, {SUNIndex,ExplicitSUNIndex}], + result = Collect2[result, SUNIndex,ExplicitSUNIndex, Factoring -> False, Expanding -> False]; ]; FCPrint[1, "collect2ing done; ", FCDoControl->frVerbose]; If[ LeafCount[result]<1000, @@ -783,11 +783,11 @@ (* ******************************************************************** *) feinarbeit[fey_Times, pl_List] := - SelectNotFree[fey, SUNIndex|ExplicitSUNIndex] * - feinarbeit[SelectFree[fey, SUNIndex|ExplicitSUNIndex], pl] /; !FreeQ[fey, - SUNIndex|ExplicitSUNIndex]; + SelectNotFree[fey, SUNIndex,ExplicitSUNIndex] * + feinarbeit[SelectFree[fey, SUNIndex,ExplicitSUNIndex], pl] /; !FreeQ2[fey, + {SUNIndex,ExplicitSUNIndex}]; -feinarbeit[fey_ /; FreeQ[fey, SUNIndex|ExplicitSUNIndex], pli_List] := +feinarbeit[fey_ /; FreeQ2[fey, {SUNIndex,ExplicitSUNIndex}], pli_List] := Block[ {uniqli,onepm, onemm, resu, legs, fop, foop, ores, nopres, ple,pleps,power3,schau}, If[ FreeQ[fey, OPEDelta], From b3a24af29d2440c88d6c46a0dcd7955e8984c731 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 19 Feb 2020 15:58:05 +0100 Subject: [PATCH 11/86] Added an extra example to the documentation of PaVeUVPart. --- .../ReferencePages/Symbols/PaVeUVPart.nb | 204 +++++++++++++++++- Tests/LoopIntegrals/PaVeUVPart.test | 6 +- 2 files changed, 207 insertions(+), 3 deletions(-) diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/PaVeUVPart.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/PaVeUVPart.nb index edd8fabfa..da695972d 100644 --- a/FeynCalc/DocSource/English/ReferencePages/Symbols/PaVeUVPart.nb +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/PaVeUVPart.nb @@ -358,6 +358,205 @@ Cell[BoxData[ RowBox[{"D", "-", "4"}], ")"}]}]], TraditionalForm]], "Output", CellLabel->"Out[75]=", CellID->146736684] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"k", "+", "p"}], ",", "rho"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"k", "+", "p"}], ",", "si"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{"k", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k", "+", "p"}], ",", "0", ",", "2"}], "}"}]}], + "]"}]}]}]], "Input", + CellLabel->"In[10]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "+", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "+", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["si", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "+", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k + $CellContext`p, D], + FeynCalc`Momentum[$CellContext`k + $CellContext`p, D]]], + Editable->False], "2"]}]], TraditionalForm]], "Output", + CellLabel->"Out[10]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"TID", "[", + RowBox[{"int", ",", "k", ",", + RowBox[{"UsePaVeBasis", "\[Rule]", "True"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{"%", "//", + RowBox[{ + RowBox[{"PaVeUVPart", "[", + RowBox[{"#", ",", + RowBox[{"FCE", "\[Rule]", "True"}]}], "]"}], "&"}]}]}], "Input", + CellLabel->"In[12]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["si", + TraditionalForm], + TraditionalForm]}]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"00\"\>"], "(", + RowBox[{"0", ",", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], ",", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["si", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"22\"\>"], "(", + RowBox[{"0", ",", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], ",", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[12]="], + +Cell[BoxData[ + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["si", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "4"}], ")"}]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[13]="] }, Open ]] }, Open ]], @@ -422,12 +621,13 @@ Cell[BoxData[ }, Open ]] }, WindowSize->{700, 770}, -WindowMargins->{{722, Automatic}, {Automatic, 253}}, +WindowMargins->{{482, Automatic}, {Automatic, 75}}, PrivateNotebookOptions->{"FileOutlineCache"->False}, CreateCellID->False, CellContext->"Global`", TrackCellChangeTimes->False, -FrontEndVersion->"10.3 for Linux x86 (64-bit) (December 10, 2015)", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions->FrontEnd`FileName[{"Wolfram"}, "FunctionPageStyles.nb", CharacterEncoding -> "UTF-8"] ] + diff --git a/Tests/LoopIntegrals/PaVeUVPart.test b/Tests/LoopIntegrals/PaVeUVPart.test index 0c963fc85..e1326c8f5 100644 --- a/Tests/LoopIntegrals/PaVeUVPart.test +++ b/Tests/LoopIntegrals/PaVeUVPart.test @@ -1692,5 +1692,9 @@ PaVeUVPart[#, FCE -> True] &", UsePaVeBasis -> True, ToPaVe -> True] // PaVeUVPart[#, FCE -> True] &", "-((7 (m0^4 + 2 m0^2 m1^2 + 3 m1^4 + m0^2 m2^2 + 2 m1^2 m2^2 + -m2^4) SPD[p1, p1]^4)/(64 (-4 + D)))"} +m2^4) SPD[p1, p1]^4)/(64 (-4 + D)))"}, +{"fcstPaVeUVPart-ID432", +"TID[FVD[k + p, rho] FVD[k + p, si] FAD[k, {k + p, 0, 2}], k, +UsePaVeBasis -> True] // PaVeUVPart[#, FCE -> True] &", +"-((I \[Pi]^2 MTD[rho, si])/(2 (-4 + D)))"} }); From 3ea2144c8739645ec17e5f7d9069efa7125371ec Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 19 Feb 2020 15:59:40 +0100 Subject: [PATCH 12/86] Fixed a bug in FCPrepareFAAmp related to 4-fermion operators with multiple Dirac matrices in the vertex. --- FeynCalc/Feynman/FCPrepareFAAmp.m | 5 ++++- Tests/Feynman/FCPrepareFAAmp.test | 29 +++++++++++++++++++++-------- 2 files changed, 25 insertions(+), 9 deletions(-) diff --git a/FeynCalc/Feynman/FCPrepareFAAmp.m b/FeynCalc/Feynman/FCPrepareFAAmp.m index e8844505c..9ccf23ee5 100644 --- a/FeynCalc/Feynman/FCPrepareFAAmp.m +++ b/FeynCalc/Feynman/FCPrepareFAAmp.m @@ -77,7 +77,10 @@ replist0 = { NonCommutative[x__] :> FeynArts`FANonCommutative[x], - FeynArts`IndexSum[x_, {ind_, _, _}] /; Length[Cases[x, ind, Infinity, Heads -> True]] == 2 && FreeQ[x,FeynArts`IndexSum] :> (tmp = Unique["Ind"] ; x /. ind -> tmp) + FeynArts`IndexSum[x_, {ind_, _, _}, moreinds__] /; Length[Cases[x, ind, Infinity, Heads -> True]] == 2 && FreeQ[x, FeynArts`IndexSum] :> + (tmp = Unique["Ind"]; FeynArts`IndexSum[x /. ind -> tmp, moreinds]), + FeynArts`IndexSum[x_, {ind_, _, _}] /; Length[Cases[x, ind, Infinity, Heads -> True]] == 2 && FreeQ[x,FeynArts`IndexSum] :> + (tmp = Unique["Ind"] ; x /. ind -> tmp) }; replist1 = {FeynArts`Index[Global`Lorentz, x_] :> LorentzIndex[ToExpression["Lor" <> ToString[x]]], diff --git a/Tests/Feynman/FCPrepareFAAmp.test b/Tests/Feynman/FCPrepareFAAmp.test index 1e3c9f349..c8284460d 100644 --- a/Tests/Feynman/FCPrepareFAAmp.test +++ b/Tests/Feynman/FCPrepareFAAmp.test @@ -86,15 +86,28 @@ PropagatorDenominator[Momentum[LoopMom1 - OutMom1], 0]]*Pair[LorentzIndex[Lor1], {"fcstFCPrepareFAAmp-ID8","MatchQ[FCPrepareFAAmp[ Times[FeynArts`IndexSum[ Times[FeynArts`DiracObject[Global`FADiracMatrix[a], - Global`FAChiralityProjector[-1]][ - FeynArts`Index[Global`Dirac, 1], - FeynArts`Index[Global`Dirac, 3]], - FeynArts`DiracObject[Global`FADiracMatrix[a], - Global`FAChiralityProjector[-1]][ - FeynArts`Index[Global`Dirac, 4], - FeynArts`Index[Global`Dirac, 2]]], List[a, 1, 4]]]], + Global`FAChiralityProjector[-1]][ + FeynArts`Index[Global`Dirac, 1], + FeynArts`Index[Global`Dirac, 3]], + FeynArts`DiracObject[Global`FADiracMatrix[a], + Global`FAChiralityProjector[-1]][ + FeynArts`Index[Global`Dirac, 4], + FeynArts`Index[Global`Dirac, 2]]], List[a, 1, 4]]]], DiracChain[DiracGamma[z_LorentzIndex].DiracGamma[7], DiracIndex[Dir1], DiracIndex[Dir3]] DiracChain[ DiracGamma[z_LorentzIndex].DiracGamma[7], DiracIndex[Dir4], -DiracIndex[Dir2]]]","True"} +DiracIndex[Dir2]]]","True"}, +{"fcstFCPrepareFAAmp-ID9","MatchQ[tmp = +FCPrepareFAAmp[ +FeynArts`IndexSum[ + DiracChain[ + DiracGamma[LorentzIndex[a, D], D].DiracGamma[LorentzIndex[b, D], + D].DiracGamma[LorentzIndex[c, D], D].DiracGamma[7], + DiracIndex[Dir4], DiracIndex[Dir8]] DiracChain[ + DiracGamma[LorentzIndex[a, D], D].DiracGamma[LorentzIndex[b, D], + D].DiracGamma[LorentzIndex[c, D], D].DiracGamma[7], + DiracIndex[Dir6], DiracIndex[Dir2]], {a, 1, 4}, {b, 1, 4}, {c, + 1, 4}]]; FCE[tmp], +DCHN[GAD[Ind116_].GAD[Ind117_].GAD[Ind118_].GA[7], Dir4, Dir8] DCHN[ +GAD[Ind116_].GAD[Ind117_].GAD[Ind118_].GA[7], Dir6, Dir2]]","True"} }; From 0fd06bc8fe7d0b3d4f261952ac1531c23b72251e Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Mon, 24 Feb 2020 23:57:40 +0100 Subject: [PATCH 13/86] Added code for generating Markdown files out of FeynCalc example notebooks. --- FeynCalc/Examples/Export/ExportToMD.m | 89 ++++++++++++++++++++ FeynCalc/Examples/Export/exportToMD.sh | 109 +++++++++++++++++++++++++ 2 files changed, 198 insertions(+) create mode 100644 FeynCalc/Examples/Export/ExportToMD.m create mode 100755 FeynCalc/Examples/Export/exportToMD.sh diff --git a/FeynCalc/Examples/Export/ExportToMD.m b/FeynCalc/Examples/Export/ExportToMD.m new file mode 100644 index 000000000..4dc969cc9 --- /dev/null +++ b/FeynCalc/Examples/Export/ExportToMD.m @@ -0,0 +1,89 @@ +(* ::Package:: *) + +QuitAbort[]:= +If[$FrontEnd===Null, + Quit[], + Abort[] +]; + + +<False]; +UsingFrontEnd[FE=$FrontEnd]; +UsingFrontEnd[FS=$FrontEndSession]; + + +Unprotect[$FrontEnd]; +Unprotect[$FrontEndSession]; +$FrontEnd=FE; +$FrontEndSession=FS; + + +(*For debugging purposes*) +(*$fcDEBUG=True; +inputNB=FileNameJoin[{$UserBaseDirectory, "Applications", "FeynCalc","Examples", +"QCD","Tree","ElAel-QQbar.m"}]; +outputDir=FileNameJoin[{$HomeDirectory,"Downloads","outputMD"}];*) + + +If[!FileExistsQ[inputNB], + Print["ERROR! The file ", inputNB, " does not exist!" ]; + QuitAbort[] +]; +If[!DirectoryQ[outputDir], + Print["ERROR! The directory ", outputDir, " does not exist!" ]; + QuitAbort[] +]; + + +(* +This useful piece of code for determining when SelectionEvaluate +finished comes from Arnoud Buzing + +*) +NotebookPauseForEvaluation[nb_] := + Module[{}, + While[NotebookEvaluatingQ[nb],WriteString["stdout","."];Pause[.5]]; + WriteString["stdout","\n"] + ]; + +NotebookEvaluatingQ[nb_]:= + Module[{},DirectoryName + SelectionMove[nb,All,Notebook]; + Or@@Map["Evaluating"/.#&,Developer`CellInformation[nb]] + ]; + + +nb = NotebookOpen[inputNB, WindowSize -> {1366, 800}, + Visible -> False, Magnification->1.5]; + +Print["Evaluating the notebook ", inputNB]; +time=AbsoluteTime[]; +SetSelectedNotebook[nb]; +SelectionMove[nb, First, Cell]; +NotebookDelete[nb]; +SelectionMove[nb, Last, Cell]; +NotebookFind[nb, "Code", All, CellStyle]; + +FrontEndExecute[FrontEndToken[nb, "SelectionConvert", "RawInputForm"]]; +SelectionMove[nb, All, Notebook]; +SelectionEvaluate[nb]; +NotebookPauseForEvaluation[nb]; +Print["Evaluation done, timing ", N[AbsoluteTime[] - time, 2]]; + + +(* +Load the M2MD converter of Mathematica notebooks to markdown +by Kuba Podkalicki +*) +Get["M2MD`"]; + + +fixTitle[cell_, ___]:= "---\ntitle: "<> + M2MD`Private`BoxesToString[cell, "PlainText"]<>"\n---\n"; +outputMD=FileNameJoin[{outputDir,FileBaseName[inputNB]<>".md"}] +Print["Exporting the notebook to", outputMD]; +MDExport[outputMD, nb,"OverwriteImages"->"True","CellStyleRules"-> <| + "Title"->{"Text",fixTitle}|>]; +Print["Export done."]; diff --git a/FeynCalc/Examples/Export/exportToMD.sh b/FeynCalc/Examples/Export/exportToMD.sh new file mode 100755 index 000000000..6abc79cea --- /dev/null +++ b/FeynCalc/Examples/Export/exportToMD.sh @@ -0,0 +1,109 @@ +#!/bin/bash + +# This software is covered by the GNU General Public License 3. +# Copyright (C) 1990-2020 Rolf Mertig +# Copyright (C) 1997-2020 Frederik Orellana +# Copyright (C) 2014-2020 Vladyslav Shtabovenko + +# Description: + +# Converts FeynCalc examples to MarkDown + +# Usage examples + +# ./exportToMD.sh math11.3 /media/Data/Projects/VS/feyncalc.github.io/FeynCalcExamplesMD +# ./exportToMD.sh math11.3 "/media/Data/Projects/VS/FeynCalc/FeynCalc/Examples/QCD/Tree/ElAel-QQbar.m" "/home/vs/Downloads/outputMD" + +scriptDIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" >/dev/null && pwd )" +examplesDir="$(dirname $scriptDIR)" + +MATH=$1 +OUTDIR=$2 + + + +function runExamples() { + local EXPATH="$1" + mkdir -p "$OUTDIR"/"$EXPATH"; + shift + local files=("$@") + for i in "${files[@]}"; + do + echo + echo -e "* \c" + filename="${i%%.*}" + if [ -f "$OUTDIR"/"$EXPATH"/"$filename".md ]; then + echo "Markdown for $i already exists, skipping" + else + $MATH -nopromt -script "$scriptDIR"/ExportToMD.m -run inputNB="\"$examplesDir/$EXPATH/$i\"" -run outputDir="\"$OUTDIR"/"$EXPATH\"" + fi + done +} + +if [[ $# -eq 3 ]] ; then + $MATH -nopromt -script "$scriptDIR"/ExportToMD.m -run inputNB="\"$2\"" -run outputDir="\"$3\"" +else + +#MSSM Examples +#------------------------------------------------------------------------------- +exfiles=('MnelEl-MnelEl.m') +runExamples "MSSM/Tree" "${exfiles[@]}" + +#Phi^3 Examples +#------------------------------------------------------------------------------- +exfiles=('Renormalization.m') +runExamples "Phi3/OneLoop" "${exfiles[@]}" + +#Phi^4 Examples +#------------------------------------------------------------------------------- +exfiles=('PhiPhi-PhiPhi.m' 'Renormalization.m') +runExamples "Phi4/OneLoop" "${exfiles[@]}" + + +#QED Examples +#------------------------------------------------------------------------------- +exfiles=('ElAel-ElAel.m' 'ElAel-GaGa.m' 'ElAel-MuAmu.m' 'ElEl-ElEl.m' \ +'ElGa-ElGa.m' 'ElMu-ElMu.m' 'Ga-MuAmu.m') +runExamples "QED/Tree" "${exfiles[@]}" + +exfiles=('ElAel-ElAel.m' 'ElAel-MuAmu.m' 'El-El.m' 'El-GaEl.m' 'Ga.m' 'Ga-Ga.m' 'Ga-GaGa.m' 'Ga-GaGaGaGa.m' \ +'Pi-GaGa.m' 'Renormalization.m') +runExamples "QED/OneLoop" "${exfiles[@]}" + +#QCD Examples +#------------------------------------------------------------------------------- +exfiles=('ElAel-QQbar.m' 'GaGl-QQbar.m' 'Ga-QQbar.m' 'Ga-QQbarGl.m' \ +'GlGl-GlGl.m' 'GlGl-QQbar.m' 'MuAmu-QQbar.m' 'QGa-GlQ.m' 'QGl-QGl.m' \ +'QiQibar-QiQibar.m' 'QiQibar-QjQjbar.m' 'QiQi-QiQi.m' 'QiQjbar-QiQjbar.m' \ +'QiQj-QiQj.m' 'QQbar-ElAel.m' 'QQbar-GaGa.m' 'QQbar-GaGl.m' 'QQbar-GlGl.m' \ +'QQbar-MuAmu.m') +runExamples "QCD/Tree" "${exfiles[@]}" + +exfiles=('Gh-Gh.m' 'GhGl-Gh.m' 'Gl-Gl.m' 'Gl-Gl-BackgroundFieldGauge.m' \ +'Gl-GlGl.m' 'Q-Q.m' 'Renormalization.m' 'RenormalizationMassless.m') +runExamples "QCD/OneLoop" "${exfiles[@]}" + + +exfiles=('Gh-Gh.m') +runExamples "QCD/TwoLoops" "${exfiles[@]}" + +#EW Examples +#------------------------------------------------------------------------------- +exfiles=('AnelEl-AnmuMu.m' 'AnelEl-QubarQd.m' 'AnelEl-WW.m' 'AnelEl-ZZ.m' \ +'ElNmu-MuNel.m' 'H-FFbar.m' 'H-WW.m' 'H-ZZ.m' 'Mu-ElAnelNmu.m' 'NleQdt-LeQut.m' \ +'QQbar-ZZ.m' 'Qt-QbW.m' 'QuQdbar-AelNel.m' 'QutbarQdt-NelAnel.m' 'W-ElAnel.m' \ +'W-QiQjbar.m' 'Z-FFbar.m') +runExamples "EW/Tree" "${exfiles[@]}" + + +exfiles=('H-GG.m') +runExamples "EW/OneLoop" "${exfiles[@]}" + + +exit 0; + +#------------------------------------------------------------------------------- +notify-send --urgency=low -i "$([ $? = 0 ] && echo sunny || echo error)" "Finished converting FeynCalc examples to markdown." +fi + + From 349219662938c069cac26b2dbbcf78baeb63239a Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 27 Feb 2020 10:48:19 +0100 Subject: [PATCH 14/86] Fixed a bug in ToStandardMatrixElement where GA[6]+GA[7] was not splitted into two terms. --- FeynCalc/Feynman/ToStandardMatrixElement.m | 2 +- Tests/Feynman/ToStandardMatrixElement.test | 7 ++++++- 2 files changed, 7 insertions(+), 2 deletions(-) diff --git a/FeynCalc/Feynman/ToStandardMatrixElement.m b/FeynCalc/Feynman/ToStandardMatrixElement.m index b7a583731..8192fbfc5 100755 --- a/FeynCalc/Feynman/ToStandardMatrixElement.m +++ b/FeynCalc/Feynman/ToStandardMatrixElement.m @@ -114,7 +114,7 @@ time=AbsoluteTime[]; FCPrint[1, "ToStandardMatrixElement: Applying FCDiracIsolate.", FCDoControl->tsmeVerbose]; ex = FCDiracIsolate[ex, Polarization->OptionValue[Polarization], FCI->True, Head->dhead, Collecting->False, ExceptHeads -> OptionValue[ExceptHeads], - LorentzIndex -> OptionValue[LorentzIndex], CartesianIndex -> OptionValue[CartesianIndex]]; + LorentzIndex -> OptionValue[LorentzIndex], CartesianIndex -> OptionValue[CartesianIndex], FCJoinDOTs->False]; FCPrint[1, "ToStandardMatrixElement: FCDiracIsolate done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->tsmeVerbose]; FCPrint[3, "ToStandardMatrixElement: After FCDiracIsolate: ", ex, FCDoControl->tsmeVerbose] ]; diff --git a/Tests/Feynman/ToStandardMatrixElement.test b/Tests/Feynman/ToStandardMatrixElement.test index 2080f7345..b737854e6 100644 --- a/Tests/Feynman/ToStandardMatrixElement.test +++ b/Tests/Feynman/ToStandardMatrixElement.test @@ -405,5 +405,10 @@ Spinor[Momentum[p1], 0, 1].GA[i1].GA[i2].GA[ 2 StandardMatrixElement[ Spinor[Momentum[p1], 0, 1].GA[i1].GA[i2].GA[ 7].Spinor[-Momentum[p2], 0, 1] Spinor[-Momentum[p3], 0, 1].GA[ - i1].GA[i2].GA[7].Spinor[Momentum[p4], 0, 1]]"} + i1].GA[i2].GA[7].Spinor[Momentum[p4], 0, 1]]"}, +{"fcstToStandardMatrixElement-ID15", "ToStandardMatrixElement[SpinorUBar[p, m].GA[mu].SpinorV[q, M], +FCE -> True]","StandardMatrixElement[ +Spinor[Momentum[p], m, 1].GA[mu].GA[6].Spinor[-Momentum[q], M, 1]] + +StandardMatrixElement[ +Spinor[Momentum[p], m, 1].GA[mu].GA[7].Spinor[-Momentum[q], M, 1]]"} }); From 4c8303aebee48e878972caf3396f62847b00e878 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 27 Feb 2020 10:50:25 +0100 Subject: [PATCH 15/86] Corrected the description of DiracOrder. --- FeynCalc/Dirac/DiracOrder.m | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/FeynCalc/Dirac/DiracOrder.m b/FeynCalc/Dirac/DiracOrder.m index 5a16c52fa..e67ca5572 100644 --- a/FeynCalc/Dirac/DiracOrder.m +++ b/FeynCalc/Dirac/DiracOrder.m @@ -11,17 +11,17 @@ Copyright (C) 2014-2020 Vladyslav Shtabovenko *) -(* :Summary: Lexicographic ordering of Dirac matrices *) +(* :Summary: Canonical ordering of Dirac matrices *) (* ------------------------------------------------------------------------ *) DiracOrder::usage = -"DiracOrder[exp] orders the Dirac matrices in exp lexicographically. \ +"DiracOrder[exp] orders the Dirac matrices in exp canonically. \ DiracOrder[exp, orderlist] orders the Dirac matrices in exp according \ to orderlist.\n DiracOrder is also an option of DiracSimplify and some other functions dealing \ with Dirac algebra. If set to True, the function DiracOrder will be applied to \ -the intermediate result to reorder the Dirac matrices lexicographically. +the intermediate result to reorder the Dirac matrices canonically. "; DiracOrder::failmsg = From c3a732133aa6725412fdf1fc84aaffc6dc5ea2f6 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 27 Feb 2020 10:51:07 +0100 Subject: [PATCH 16/86] Made the second Collect2 in FCMultiLoopTID respect the Factoring and TimeConstrained options. --- FeynCalc/LoopIntegrals/FCMultiLoopTID.m | 7 +- Tests/LoopIntegrals/FCMultiLoopTID.test | 171 +++++++++++++++++------- 2 files changed, 128 insertions(+), 50 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m index f9448cfaa..9b9ced564 100644 --- a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m +++ b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m @@ -63,7 +63,10 @@ TimeConstrained -> 3 }; -FCMultiLoopTID[expr_ , qs_List/; FreeQ[qs, OptionQ], OptionsPattern[]] := +FCMultiLoopTID[expr_List, qs_List/; FreeQ[qs, OptionQ], opts:OptionsPattern[]] := + FCMultiLoopTID[#, qs, opts]&/@expr; + +FCMultiLoopTID[expr_/;Head[expr]=!=List, qs_List/; FreeQ[qs, OptionQ], OptionsPattern[]] := Block[{ n, ex, rest, loopInts, intsUnique, repRule, solsList, null1, null2, res, tmpli, time, mltidIsolate, optFactoring, optTimeConstrained}, @@ -256,7 +259,7 @@ If[ OptionValue[Collecting], time=AbsoluteTime[]; FCPrint[1, "FCMultiLoopTID: Applying Collect2.", FCDoControl->mltidVerbose]; - res = Collect2[res,FeynAmpDenominator,Sequence@@qs]; + res = Collect2[res,FeynAmpDenominator,Sequence@@qs, Factoring -> optFactoring, TimeConstrained -> optTimeConstrained]; FCPrint[3,"FCMultiLoopTID: After Collect2: ", res, FCDoControl->mltidVerbose]; FCPrint[1, "FCMultiLoopTID: Done applying Collect2, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->mltidVerbose] ]; diff --git a/Tests/LoopIntegrals/FCMultiLoopTID.test b/Tests/LoopIntegrals/FCMultiLoopTID.test index dec91a32f..8454c1cdc 100644 --- a/Tests/LoopIntegrals/FCMultiLoopTID.test +++ b/Tests/LoopIntegrals/FCMultiLoopTID.test @@ -20,36 +20,114 @@ q1-q2}],{q1,q2},FCE->True]", {"fcstFCMultiLoopTID-ID6", "FCMultiLoopTID[FVD[q1,mu]FVD[q2,nu]SPD[q1,q2]FAD[{q1+p2,m},{q2-p1,\ m},{q1-q2}],{q1,q2},FCE->True]", -"(FAD[{-p1 + q1, m}, q1 - q2, {p2 + q2, m}]*SPD[p1, q1]*SPD[p1, q2]*(-2*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + - FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p2, p2] + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]*SPD[p2, p2] - D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]*SPD[p2, p2] + - FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]*SPD[p2, p2] - D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]*SPD[p2, p2] + MTD[mu, nu]*SPD[p1, p2]^2*SPD[p2, p2] - FVD[p1, mu]*FVD[p1, nu]*SPD[p2, p2]^2 + - D*FVD[p1, mu]*FVD[p1, nu]*SPD[p2, p2]^2 - MTD[mu, nu]*SPD[p1, p1]*SPD[p2, p2]^2)*SPD[q1, q2])/((-2 + D)*(SPD[p1, p2]^2 - SPD[p1, p1]*SPD[p2, p2])^2) - -(FAD[{-p2 + q1, m}, {-p1 + q2, m}]*(-(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2]) + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 + - FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + MTD[mu, nu]*SPD[p1, p2]^3 + 2*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] - - D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] - FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - - MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]*SPD[q1, q2])/(2*(-2 + D)*(-SPD[p1, p2]^2 + SPD[p1, p1]*SPD[p2, p2])^2) - -(FAD[{-p2 + q1, m}, q1 - q2, {p1 + q2, m}]*(2*m^2 - SPD[p1, p1] - SPD[p2, p2])*(-(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2]) + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - - FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + MTD[mu, nu]*SPD[p1, p2]^3 + - 2*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] - D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] - FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + - D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]*SPD[q1, q2])/(2*(-2 + D)*(-SPD[p1, p2]^2 + SPD[p1, p1]*SPD[p2, p2])^2) - -(FAD[{-p1 + q1, m}, q1 - q2, {p2 + q2, m}]*SPD[p1, q2]*(-(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2]) + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] + - FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 - D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 - FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + MTD[mu, nu]*SPD[p1, p2]^3 + - 2*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p2, p2] - D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p2, p2] - FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + - D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]*SPD[q1, q2])/((-2 + D)*(-SPD[p1, p2]^2 + SPD[p1, p1]*SPD[p2, p2])^2) - -(FAD[{-p2 + q1, m}, q1 - q2, {p1 + q2, m}]*(-(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2]) + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 + - FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + MTD[mu, nu]*SPD[p1, p2]^3 + 2*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] - - D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] - FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - - MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]^2*SPD[q1, q2])/((-2 + D)*(-SPD[p1, p2]^2 + SPD[p1, p1]*SPD[p2, p2])^2) + -(FAD[{-p1 + q1, m}, q1 - q2, {p2 + q2, m}]*(-(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]^2) + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]^2 + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p1, p2] - - D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p1, p2] + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - - 2*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]^2 + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]^2 + MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]^2 + FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p1]*SPD[p2, p2] - - MTD[mu, nu]*SPD[p1, p1]^2*SPD[p2, p2])*SPD[p2, q1]*SPD[p2, q2]*SPD[q1, q2])/((-2 + D)*(-SPD[p1, p2]^2 + SPD[p1, p1]*SPD[p2, p2])^2) - -(FAD[{-p1 + q1, m}, q1 - q2, {p2 + q2, m}]*(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1] - FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2] - FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2] + MTD[mu, nu]*SPD[p1, p2]^2 + - FVD[p1, mu]*FVD[p1, nu]*SPD[p2, p2] - MTD[mu, nu]*SPD[p1, p1]*SPD[p2, p2])*SPD[q1, q2]^2)/((-2 + D)*(-SPD[p1, p2]^2 + SPD[p1, p1]*SPD[p2, p2])) + -(FAD[{-p2 + q1, m}, q1 - q2, {p1 + q2, m}]*(-(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2]) + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 + - FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + MTD[mu, nu]*SPD[p1, p2]^3 + 2*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] - - D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] - FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - - MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]*SPD[q1, q2]^2)/((-2 + D)*(-SPD[p1, p2]^2 + SPD[p1, p1]*SPD[p2, p2])^2)"}, +"(FAD[{-p1 + q1, m}, q1 - q2, {p2 + q2, m}]*SPD[p1, q1]* + SPD[p1, q2]*(2*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - + FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p2, p2] - + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]*SPD[p2, p2] + + D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]*SPD[p2, p2] - + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]*SPD[p2, p2] + + D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]*SPD[p2, p2] - + MTD[mu, nu]*SPD[p1, p2]^2*SPD[p2, p2] + + FVD[p1, mu]*FVD[p1, nu]*SPD[p2, p2]^2 - + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p2, p2]^2 + + MTD[mu, nu]*SPD[p1, p1]*SPD[p2, p2]^2)* + SPD[q1, q2])/((2 - + D)*(SPD[p1, p2]^2 - SPD[p1, p1]*SPD[p2, p2])^2) - (FAD[{-p2 + + q1, m}, {-p1 + q2, + m}]*(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] + + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 - + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + + D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - + MTD[mu, nu]*SPD[p1, p2]^3 - + 2*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] + + D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] + + FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + + MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]* + SPD[q1, q2])/(2*(2 - + D)*(SPD[p1, p2]^2 - SPD[p1, p1]*SPD[p2, p2])^2) - (FAD[{-p2 + + q1, m}, q1 - q2, {p1 + q2, m}]*(2*m^2 - SPD[p1, p1] - + SPD[p2, p2])*(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] + + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 - + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + + D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - + MTD[mu, nu]*SPD[p1, p2]^3 - + 2*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] + + D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] + + FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + + MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]* + SPD[q1, + q2])/(2*(2 - + D)*(SPD[p1, p2]^2 - SPD[p1, p1]*SPD[p2, p2])^2) - (FAD[{-p1 + + q1, m}, q1 - q2, {p2 + q2, m}]* + SPD[p1, q2]*(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 + + D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 + + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - + MTD[mu, nu]*SPD[p1, p2]^3 - + 2*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p2, p2] + + D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p2, p2] + + FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + + MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]* + SPD[q1, q2])/((2 - + D)*(SPD[p1, p2]^2 - SPD[p1, p1]*SPD[p2, p2])^2) - (FAD[{-p2 + + q1, m}, q1 - q2, {p1 + q2, + m}]*(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] + + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 - + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + + D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - + MTD[mu, nu]*SPD[p1, p2]^3 - + 2*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] + + D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] + + FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + + MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]^2* + SPD[q1, q2])/((2 - + D)*(SPD[p1, p2]^2 - SPD[p1, p1]*SPD[p2, p2])^2) + (FAD[{-p1 + + q1, m}, q1 - q2, {p2 + q2, + m}]*(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]^2 - + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]^2 - + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p1, p2] + + D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p1, p2] - + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] + + D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] + + 2*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]^2 - + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]^2 - + MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]^2 - + FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p1]*SPD[p2, p2] + + MTD[mu, nu]*SPD[p1, p1]^2*SPD[p2, p2])*SPD[p2, q1]*SPD[p2, q2]* + SPD[q1, q2])/((2 - + D)*(SPD[p1, p2]^2 - SPD[p1, p1]*SPD[p2, p2])^2) - (FAD[{-p1 + + q1, m}, q1 - q2, {p2 + q2, + m}]*(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1] - + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2] - + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2] + + MTD[mu, nu]*SPD[p1, p2]^2 + + FVD[p1, mu]*FVD[p1, nu]*SPD[p2, p2] - + MTD[mu, nu]*SPD[p1, p1]*SPD[p2, p2])* + SPD[q1, q2]^2)/((2 - D)*(SPD[p1, p2]^2 - + SPD[p1, p1]*SPD[p2, p2])) + (FAD[{-p2 + q1, m}, + q1 - q2, {p1 + q2, + m}]*(FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] - + D*FVD[p2, mu]*FVD[p2, nu]*SPD[p1, p1]*SPD[p1, p2] + + FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p2]^2 - + FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 + + D*FVD[p1, mu]*FVD[p2, nu]*SPD[p1, p2]^2 - + MTD[mu, nu]*SPD[p1, p2]^3 - + 2*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] + + D*FVD[p1, nu]*FVD[p2, mu]*SPD[p1, p1]*SPD[p2, p2] + + FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] - + D*FVD[p1, mu]*FVD[p1, nu]*SPD[p1, p2]*SPD[p2, p2] + + MTD[mu, nu]*SPD[p1, p1]*SPD[p1, p2]*SPD[p2, p2])*SPD[p2, q1]* + SPD[q1, q2]^2)/((2 - + D)*(SPD[p1, p2]^2 - SPD[p1, p1]*SPD[p2, p2])^2)"}, {"fcstFCMultiLoopTID-ID7", "FCMultiLoopTID[SPD[q1,q2]FAD[{q1,m1},{q2,m2},{q1-q2}],{q1,q2},FCE->True]", "-FAD[{q1, m1}, {q2, m2}]/2 + ((m1^2 + m2^2)*FAD[{q1, m1}, {q2, m2}, q1 - q2])/2"}, @@ -60,8 +138,8 @@ q2},FCE->True]", "0"}, "FCMultiLoopTID[GSD[q1].GSD[q2]SPD[q1,q2]FAD[{q1,m1},{q2,m2},{q1-\ q2}],{q1,q2}]//DiracTrick//FCE", "-((m1^2 + m2^2)*(FAD[{q1, m1}, {q2, m2}] - - m1^2*FAD[{q1, m1}, {q2, m2}, q1 - q2] - - m2^2*FAD[{q1, m1}, {q2, m2}, q1 - q2]))/4"}, + m1^2*FAD[{q1, m1}, {q2, m2}, q1 - q2] - + m2^2*FAD[{q1, m1}, {q2, m2}, q1 - q2]))/4"}, {"fcstFCMultiLoopTID-ID11", "FCMultiLoopTID[LCD[][q1,q2,a,b]SPD[q1,q2]FAD[{q1-p1,m1},{q2-p2,m2},\ {q1-q2}],{q1,q2},FCE->True]", @@ -80,8 +158,9 @@ q2}],{q1,q2}]//DiracTrick//FCE", (FAD[{-p2 + q1, m2}, q1 - q2, {-p1 + q2, m1}]*SPD[p2, q1]*SPD[q1, q2]^2*LCD[][a, b, p1, p2])/(SPD[p1, p2]^2 - SPD[p1, p1]*SPD[p2, p2])"}, {"fcstFCMultiLoopTID-ID13", "FCMultiLoopTID[FVD[q1, mu] FVD[q2, nu] FAD[q1, q2, {p1 - q2}, {q1 - p1}, {q2 - p1}], {q1, q2},FCE->True]", -"(FAD[q1, q1, q2, -p1 + q1, -p1 + q2]*(D*FVD[p1, mu]*FVD[p1, nu] - MTD[mu, nu]*SPD[p1, p1]))/(4*(-1 + D)) - (FAD[q1, q2, -p1 + q1, -p1 + q2]*(D*FVD[p1, mu]*FVD[p1, nu] - MTD[mu, nu]*SPD[p1, p1]))/ -(4*(-1 + D)*SPD[p1, p1]) + (FAD[q1, q2, -p1 + q1, -p1 + q1, -p1 + q2]*(-(FVD[p1, mu]*FVD[p1, nu]) + MTD[mu, nu]*SPD[p1, p1])*SPD[q1, q2])/((-1 + D)*SPD[p1, p1])"}, +"-(FAD[q1, q1, q2, -p1 + q1, -p1 + q2]*(D*FVD[p1, mu]*FVD[p1, nu] - MTD[mu, nu]*SPD[p1, p1]))/(4*(1 - D)) + +(FAD[q1, q2, -p1 + q1, -p1 + q2]*(D*FVD[p1, mu]*FVD[p1, nu] - MTD[mu, nu]*SPD[p1, p1]))/(4*(1 - D)*SPD[p1, p1]) + +(FAD[q1, q2, -p1 + q1, -p1 + q1, -p1 + q2]*(FVD[p1, mu]*FVD[p1, nu] - MTD[mu, nu]*SPD[p1, p1])*SPD[q1, q2])/((1 - D)*SPD[p1, p1])"}, {"fcstFCMultiLoopTID-ID14", "FCMultiLoopTID[ FVD[q1, mu] FVD[q2, nu] LCD[mu, nu][a, b] FAD[{q1 - p1, m1}, {q2 - p2, m2}, {q1 - q2}], {q1, q2}, FCE->True]", @@ -101,16 +180,15 @@ p1, {-p1 + p2, m}, {-p1 + p3, m}] FVD[p1, Lor1] FVD[p1, Lor2] (SPD[p1, p1] - (16*FAD[{p1, m}, {p2, m}, p3, p3, p3, {p1 - p3, m}, {p2 - p3, m}]*MTD[Lor1, Lor2]*SPD[p1, p2]^2)/D"}, {"fcstFCMultiLoopTID-ID16", "FCMultiLoopTID[(GSD[l] + m) SPD[l, p2] FAD[{l, m1}, {l + p, m2}], {l}, FCE -> True]", -"m*FAD[{l, m1}, {l + p, m2}]*SPD[l, p2] + (FAD[{l, m1}, {l - p, m2}]*SPD[l, p2]*(m1^2 - m2^2 + SPD[p, p])*(GSD[p2]*SPD[p, p2] - GSD[p]*SPD[p2, p2]))/(2*(SPD[p, p2]^2 - SPD[p, p]*SPD[p2, p2])) + -(FAD[{l, m2}]*SPD[p, p2]*(GSD[p2]*SPD[p, p2] - GSD[p]*SPD[p2, p2]))/(2*(SPD[p, p2]^2 - SPD[p, p]*SPD[p2, p2])) + (FAD[{l, m1}, {l - p, m2}]*SPD[l, p2]^2*(GSD[p2]*SPD[p, p] - GSD[p]*SPD[p, p2]))/ -(-SPD[p, p2]^2 + SPD[p, p]*SPD[p2, p2])", -"-(FAD[l, l - p]*SPD[p, Polarization[k, I]])/2"}, -{"fcstFCMultiLoopTID-ID17", "FCMultiLoopTID[FVD[k, mu] SFAD[k, k + l, {{0, k.l}}], {k}, -FCE -> True]","(FVD[l, mu] SFAD[{{k, 0}, {0, 1}, 1}, {{k + l, 0}, {0, 1}, 1}])/SPD[l, -l]"}, +"m*FAD[{l, m1}, {l + p, m2}]*SPD[l, p2] - (FAD[{l, m1}, {l - p, m2}]*SPD[l, p2]^2*(GSD[p2]*SPD[p, p] - +GSD[p]*SPD[p, p2]))/(SPD[p, p2]^2 - SPD[p, p]*SPD[p2, p2]) + (FAD[{l, m1}, {l - p, m2}]*SPD[l, p2]*(m1^2 - +m2^2 + SPD[p, p])*(GSD[p2]*SPD[p, p2] - GSD[p]*SPD[p2, p2]))/(2*(SPD[p, p2]^2 - SPD[p, p]*SPD[p2, p2])) + +(FAD[{l, m2}]*SPD[p, p2]*(GSD[p2]*SPD[p, p2] - GSD[p]*SPD[p2, p2]))/(2*(SPD[p, p2]^2 - SPD[p, p]*SPD[p2, p2]))"}, {"fcstFCMultiLoopTID-ID18", "FCMultiLoopTID[FVD[k, mu] FVD[k, nu] SFAD[k, k + l, {{0, k.l}}], {k}, -FCE -> True]","-(SFAD[{{k, 0}, {0, 1}, 1}, {{k + l, 0}, {0, 1}, 1}]*(D*FVD[l, mu]*FVD[l, nu] - MTD[mu, nu]*SPD[l, l]))/(2*(-1 + D)*SPD[l, l]) + -(SFAD[{{0, k . l}, {0, 1}, 1}, {{k + l, 0}, {0, 1}, 1}]*(-(FVD[l, mu]*FVD[l, nu]) + MTD[mu, nu]*SPD[l, l]))/((-1 + D)*SPD[l, l])"}, +FCE -> True]", +"(SFAD[{{0, k . l}, {0, 1}, 1}, {{k + l, 0}, {0, 1}, 1}]*(FVD[l, mu]*FVD[l, nu] - +MTD[mu, nu]*SPD[l, l]))/((1 - D)*SPD[l, l]) + (SFAD[{{k, 0}, {0, 1}, 1}, +{{k + l, 0}, {0, 1}, 1}]*(D*FVD[l, mu]*FVD[l, nu] - MTD[mu, nu]*SPD[l, l]))/(2*(1 - D)*SPD[l, l])"}, {"fcstFCMultiLoopTID-ID19", "FCMultiLoopTID[ SFAD[{p1, -mE^2}, {p2, - mE^2}, {p1 + p2, 0, 2}, {p3, -mE^2}, {-p1 - p2 + p3, - @@ -269,11 +347,8 @@ FAD[q2, q1, q1 + q2, -k1 + q1] SPD[q1, q1] - FCE -> True]","0"}, {"fcstFCMultiLoopTID-ID23", "FCMultiLoopTID[FVD[q, i] FVD[q, j] SFAD[{{0, p.q}, x}, q + p], {q}, FCE -> True]", -"(1/((-1 + D) SPD[p, p]^2))*SFAD[{{q, 0}, {0, 1}, 1}, {{0, p.(-p + q)}, {x, 1}, -1}] (D x^2 FVD[p, i] FVD[p, j] + -2 x FVD[p, i] FVD[p, j] SPD[p, p] - x^2 MTD[i, j] SPD[p, p] + -FVD[p, i] FVD[p, j] SPD[p, p]^2 - 2 x MTD[i, j] SPD[p, p]^2 - -MTD[i, j] SPD[p, p]^3)"}, +"-((SFAD[{{q, 0}, {0, 1}, 1}, {{0, p . (-p + q)}, {x, 1}, 1}]*(D*x^2*FVD[p, i]*FVD[p, j] + 2*x*FVD[p, i]*FVD[p, j]*SPD[p, p] - +x^2*MTD[i, j]*SPD[p, p] + FVD[p, i]*FVD[p, j]*SPD[p, p]^2 - 2*x*MTD[i, j]*SPD[p, p]^2 - MTD[i, j]*SPD[p, p]^3))/((1 - D)*SPD[p, p]^2))"}, {"fcstFCMultiLoopTID-ID24", "FCMultiLoopTID[ DCHN[-GSD[k] + me, Dir3, Dir4] FAD[{k, me}, k - q], {k},FCE->True]","me DCHN[1, Dir3, Dir4] FAD[{k, me}, k - q] + ( DCHN[GSD[q], Dir3, Dir4] FAD[{k, me}])/(2 SPD[q, q]) - (DCHN[GSD[q], Dir3, Dir4] FAD[k, {k - q, me}] (me^2 + SPD[q, q]))/( From 7d65aa0599d0a41f1c3542de5fa4e2f12c9b3423 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 27 Feb 2020 10:54:08 +0100 Subject: [PATCH 17/86] Updated the syntax of Spinor to disallow the sloppy notation Spinor[p1,m1] instead of Spinor[Momentum[p1],m1]. Since Spinor is an FCI-symbol, we need more consistency here. --- .../English/ReferencePages/Symbols/Spinor.nb | 88 +++++++++++++------ FeynCalc/Feynman/FCPrepareFAAmp.m | 2 +- FeynCalc/Shared/SharedObjects.m | 23 +++-- Tests/Dirac/DiracChainJoin.test | 8 +- Tests/Dirac/DiracSimplify.test | 31 ++++++- Tests/Dirac/DiracTrick.test | 4 +- Tests/Feynman/FermionSpinSum.test | 50 +++++------ Tests/Lorentz/FCReplaceMomenta.test | 4 +- Tests/Shared/SharedObjects.test | 6 +- 9 files changed, 140 insertions(+), 76 deletions(-) diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/Spinor.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/Spinor.nb index faf0a6c3f..20838485a 100644 --- a/FeynCalc/DocSource/English/ReferencePages/Symbols/Spinor.nb +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/Spinor.nb @@ -268,6 +268,26 @@ Cell[TextData[{ BaseStyle->"Link", ButtonData:>"paclet:FeynCalc/ref/SpinorVBar", ButtonNote->"SpinorVBar"], + ", ", + ButtonBox["SpinorUBarD", + BaseStyle->"Link", + ButtonData:>"paclet:FeynCalc/ref/SpinorUBarD", + ButtonNote->"SpinorUBarD"], + ", ", + ButtonBox["SpinorUD", + BaseStyle->"Link", + ButtonData:>"paclet:FeynCalc/ref/SpinorUD", + ButtonNote->"SpinorUD"], + ", ", + ButtonBox["SpinorVD", + BaseStyle->"Link", + ButtonData:>"paclet:FeynCalc/ref/SpinorVD", + ButtonNote->"SpinorVD"], + ", ", + ButtonBox["SpinorVBarD", + BaseStyle->"Link", + ButtonData:>"paclet:FeynCalc/ref/SpinorVBarD", + ButtonNote->"SpinorVBarD"], "." }], "SeeAlso"] }, Open ]], @@ -299,9 +319,10 @@ Cell[BoxData[ Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"Spinor", "[", "p", "]"}]], "Input", + RowBox[{"Spinor", "[", + RowBox[{"Momentum", "[", "p", "]"}], "]"}]], "Input", CellTags->"Spinor", - CellLabel->"In[28]:=", + CellLabel->"In[1]:=", CellID->1573141935], Cell[BoxData[ @@ -319,16 +340,17 @@ Cell[BoxData[ FormBox["\<\")\"\>", TraditionalForm]}], TraditionalForm]], "Output", CellTags->"Spinor", - CellLabel->"Out[28]="] + CellLabel->"Out[1]="] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Spinor", "[", - RowBox[{"p", ",", "m"}], "]"}]], "Input", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}]], "Input", CellTags->"Spinor", - CellLabel->"In[29]:=", + CellLabel->"In[2]:=", CellID->67205944], Cell[BoxData[ @@ -350,7 +372,7 @@ Cell[BoxData[ FormBox["\<\")\"\>", TraditionalForm]}], TraditionalForm]], "Output", CellTags->"Spinor", - CellLabel->"Out[29]="] + CellLabel->"Out[2]="] }, Open ]], Cell["\<\ @@ -364,18 +386,21 @@ Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{"Spinor", "[", - RowBox[{"p", ",", "m"}], "]"}], ".", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}], ".", RowBox[{"Spinor", "[", - RowBox[{"p", ",", "m"}], "]"}]}], "//", "DiracSimplify"}]], "Input", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}]}], "//", + "DiracSimplify"}]], "Input", CellTags->"Spinor", - CellLabel->"In[30]:=", + CellLabel->"In[3]:=", CellID->540190510], Cell[BoxData[ FormBox[ RowBox[{"2", " ", "m"}], TraditionalForm]], "Output", CellTags->"Spinor", - CellLabel->"Out[30]="] + CellLabel->"Out[3]="] }, Open ]], Cell[CellGroupData[{ @@ -385,10 +410,11 @@ Cell[BoxData[ RowBox[{ RowBox[{"Spinor", "[", RowBox[{ - RowBox[{"-", "p"}], ",", "m"}], "]"}], ".", + RowBox[{"-", + RowBox[{"Momentum", "[", "p", "]"}]}], ",", "m"}], "]"}], ".", RowBox[{"GS", "[", "p", "]"}]}], "]"}]], "Input", CellTags->"Spinor", - CellLabel->"In[26]:=", + CellLabel->"In[5]:=", CellID->654515033], Cell[BoxData[ @@ -414,16 +440,18 @@ Cell[BoxData[ FormBox["\<\")\"\>", TraditionalForm]}], ")"}]}], TraditionalForm]], "Output", CellTags->"Spinor", - CellLabel->"Out[26]="] + CellLabel->"Out[5]="] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ - RowBox[{"Spinor", "[", "p", "]"}], "//", "StandardForm"}]], "Input", + RowBox[{"Spinor", "[", + RowBox[{"Momentum", "[", "p", "]"}], "]"}], "//", + "StandardForm"}]], "Input", CellTags->"Spinor", - CellLabel->"In[32]:=", + CellLabel->"In[6]:=", CellID->864077691], Cell[BoxData[ @@ -431,7 +459,7 @@ Cell[BoxData[ RowBox[{ RowBox[{"Momentum", "[", "p", "]"}], ",", "0", ",", "1"}], "]"}]], "Output", CellTags->"Spinor", - CellLabel->"Out[32]//StandardForm="] + CellLabel->"Out[6]//StandardForm="] }, Open ]], Cell[CellGroupData[{ @@ -440,10 +468,11 @@ Cell[BoxData[ RowBox[{ RowBox[{"ChangeDimension", "[", RowBox[{ - RowBox[{"Spinor", "[", "p", "]"}], ",", "D"}], "]"}], "//", + RowBox[{"Spinor", "[", + RowBox[{"Momentum", "[", "p", "]"}], "]"}], ",", "D"}], "]"}], "//", "StandardForm"}]], "Input", CellTags->"Spinor", - CellLabel->"In[34]:=", + CellLabel->"In[7]:=", CellID->39280367], Cell[BoxData[ @@ -452,7 +481,7 @@ Cell[BoxData[ RowBox[{"Momentum", "[", RowBox[{"p", ",", "D"}], "]"}], ",", "0", ",", "1"}], "]"}]], "Output", CellTags->"Spinor", - CellLabel->"Out[34]//StandardForm="] + CellLabel->"Out[7]//StandardForm="] }, Open ]], Cell[CellGroupData[{ @@ -460,9 +489,11 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Spinor", "[", - RowBox[{"p", ",", "m"}], "]"}], "//", "StandardForm"}]], "Input", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}], "//", + "StandardForm"}]], "Input", CellTags->"Spinor", - CellLabel->"In[35]:=", + CellLabel->"In[8]:=", CellID->1410615258], Cell[BoxData[ @@ -470,7 +501,7 @@ Cell[BoxData[ RowBox[{ RowBox[{"Momentum", "[", "p", "]"}], ",", "m", ",", "1"}], "]"}]], "Output", CellTags->"Spinor", - CellLabel->"Out[35]//StandardForm="] + CellLabel->"Out[8]//StandardForm="] }, Open ]], Cell["SmallVariable's are discarded by Spinor.", "Notes"], @@ -480,11 +511,12 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Spinor", "[", - RowBox[{"p", ",", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", RowBox[{"SmallVariable", "[", "m", "]"}]}], "]"}], "//", "StandardForm"}]], "Input", CellTags->"Spinor", - CellLabel->"In[37]:=", + CellLabel->"In[9]:=", CellID->557218901], Cell[BoxData[ @@ -492,7 +524,7 @@ Cell[BoxData[ RowBox[{ RowBox[{"Momentum", "[", "p", "]"}], ",", "0", ",", "1"}], "]"}]], "Output", CellTags->"Spinor", - CellLabel->"Out[37]//StandardForm="] + CellLabel->"Out[9]//StandardForm="] }, Open ]] }, Open ]], @@ -556,14 +588,14 @@ Cell[BoxData[ CellID->589267740] }, Open ]] }, -WindowSize->{700, 770}, -WindowMargins->{{1091, Automatic}, {Automatic, 33}}, +WindowSize->{1061, 770}, +WindowMargins->{{356, Automatic}, {38, Automatic}}, Visible->True, PrivateNotebookOptions->{"FileOutlineCache"->False}, CreateCellID->False, CellContext->"Global`", TrackCellChangeTimes->False, -FrontEndVersion->"10.3 for Linux x86 (64-bit) (December 10, 2015)", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions->FrontEnd`FileName[{"Wolfram"}, "FunctionPageStyles.nb", CharacterEncoding -> "UTF-8"] ] diff --git a/FeynCalc/Feynman/FCPrepareFAAmp.m b/FeynCalc/Feynman/FCPrepareFAAmp.m index 9ccf23ee5..3af65ed8a 100644 --- a/FeynCalc/Feynman/FCPrepareFAAmp.m +++ b/FeynCalc/Feynman/FCPrepareFAAmp.m @@ -98,7 +98,7 @@ Global`FADiracMatrix[x_] :> DiracGamma[LorentzIndex[x]], Global`FAScalarProduct[x_,y_] :> Pair[Momentum[x],Momentum[y]], Global`FADiracSlash[x_] :> DiracGamma[Momentum[x]], - Global`FADiracSpinor :> Spinor, + Global`FADiracSpinor[x_,re__] :> Spinor[Momentum[x], re], FeynArts`FALeviCivita :> Eps, Global`FADiracTrace :> DiracTrace, Global`FAFourVector[x_,y_] :> Pair[Momentum[x],y], diff --git a/FeynCalc/Shared/SharedObjects.m b/FeynCalc/Shared/SharedObjects.m index 36211a6f7..d98f72f85 100644 --- a/FeynCalc/Shared/SharedObjects.m +++ b/FeynCalc/Shared/SharedObjects.m @@ -487,12 +487,20 @@ denotes a quantum field of type ftype with (possible) \ by FeynCalcInternal."; Spinor::usage = -"Spinor[p, m] represents a Dirac spinor. \ -Which of the spinors u, v,u_bar or v_bar \ -is understood, depends on the sign of the momentum (p) \ -argument and the relative position of GS[p]: \ -Spinor[sign p, mass] is that spinor which yields \ -sign*mass*Spinor[p, mass] if the Dirac equation is applied ."; +"Spinor[Momentum[p], m] represents a Dirac spinor. \ +Which of the spinors u, v, ubar or vbar \ +is understood, depends on the sign of the Momentum[p] \ +argument and the relative position inside a chain of \ +Dirac matries. \n \n +Spinor[Momentum[p],m] means ubar(p,m) if it stands at the beginning of the chain.\n +Spinor[Momentum[p],m] means u(p,m) if it stands at the end of the chain.\n +Spinor[-Momentum[p],m] means vbar(p,m) if it stands at the beginning of the chain.\n +Spinor[-Momentum[p],m] means v(p,m) if it stands at the end of the chain.\n +Spinors of fermions of mass m are normalized to have \ +ubar(p,m) u(p,m) = 2m and vbar(p,m) v(p,m) = -2m. \n +Notice that Spinor is an FCI-symbol. For user input please use \ +FCE-symbols SpinorU, SpinorUBar, SpinorV, SpinorVBar as well as \ +SpinorUD, SpinorUBarD, SpinorVD, SpinorVBarD."; SpinorU::usage = "SpinorU[p, m] denotes a u-spinor that depends on the \ @@ -1934,10 +1942,11 @@ denotes a quantum field of type ftype with (possible) \ HoldPattern[Spinor[a__,{1}]] := Spinor[a]; - +(* Spinor[n_. x_/; (FCPatternFreeQ[{x}]&&FreeQ2[x, {Momentum, Hold, HoldForm}]), y___/;FCPatternFreeQ[{y}]] := (Spinor[n x, y] = Spinor[n Momentum[x], y]) /; (FCPatternFreeQ[{n, x, y}] && (n^2)===1); +*) (* Spinor[kk_.+ n_. Momentum[ a_Plus, dim_ : 4], m_, y___] := Spinor[kk+ n Momentum[a, dim], m, y] = diff --git a/Tests/Dirac/DiracChainJoin.test b/Tests/Dirac/DiracChainJoin.test index df99c7e98..0861d7de1 100644 --- a/Tests/Dirac/DiracChainJoin.test +++ b/Tests/Dirac/DiracChainJoin.test @@ -74,7 +74,7 @@ DiracIndex[j], DiracIndex[k]], FCE -> True]", "DIDelta[i,k]"}, DCHN[1,i,j],FCE\[Rule]True]", "Spinor[Momentum[p1], m1, 1] . Spinor[-Momentum[p2], m2, 1]"}, {"fcstDiracChainJoin-ID16", -"DiracChainJoin[DCHN[Spinor[p1,m1],i]DCHN[j,Spinor[p2,m2]]DCHN[\ +"DiracChainJoin[DCHN[Spinor[Momentum[p1],m1],i]DCHN[j,Spinor[Momentum[p2],m2]]DCHN[\ 1,i,j],FCE\[Rule]True]", "Spinor[Momentum[p1], m1, 1] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracChainJoin-ID17", @@ -82,11 +82,11 @@ DCHN[1,i,j],FCE\[Rule]True]", DIDelta[i,j],FCE\[Rule]True]", "Spinor[Momentum[p1], m1, 1] . Spinor[-Momentum[p2], m2, 1]"}, {"fcstDiracChainJoin-ID18", -"DiracChainJoin[DCHN[Spinor[p1,m1],i]DCHN[j,Spinor[p2,m2]]\ +"DiracChainJoin[DCHN[Spinor[Momentum[p1],m1],i]DCHN[j,Spinor[Momentum[p2],m2]]\ DIDelta[i,j],FCE\[Rule]True]", "Spinor[Momentum[p1], m1, 1] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracChainJoin-ID19", -"DiracChainJoin[DCHN[Spinor[p1,m1],i]DCHN[Spinor[p2,m2],j]\ +"DiracChainJoin[DCHN[Spinor[Momentum[p1],m1],i]DCHN[Spinor[Momentum[p2],m2],j]\ DIDelta[i,j],FCE\[Rule]True]", "DCHN[Spinor[Momentum[p1], m1, 1], j]*DCHN[Spinor[Momentum[p2], \ m2, 1], j]"}, @@ -95,7 +95,7 @@ m2, 1], j]"}, FCE -> True]", "DCHN[Spinor[p1, m], j] DCHN[GA[mu], i, j]"}, {"fcstDiracChainJoin-ID21", -"DiracChainJoin[DCHN[Spinor[p1, m], j] DCHN[Spinor[p2, m], i], +"DiracChainJoin[DCHN[Spinor[Momentum[p1], m], j] DCHN[Spinor[Momentum[p2], m], i], FCE -> True]", "DCHN[Spinor[Momentum[p1], m, 1], j] DCHN[Spinor[Momentum[p2], m, 1], i]"}, diff --git a/Tests/Dirac/DiracSimplify.test b/Tests/Dirac/DiracSimplify.test index 77178c140..080156626 100644 --- a/Tests/Dirac/DiracSimplify.test +++ b/Tests/Dirac/DiracSimplify.test @@ -33,7 +33,7 @@ DiracGamma[LorentzIndex[d]] . DiracGamma[LorentzIndex[a]] . DiracGamma[LorentzIn {"fcstDiracSimplify-ID12","DiracSimplify[DiracMatrix[6] .DiracMatrix[mu, Dimension -> D]]", "DiracGamma[LorentzIndex[mu]] . DiracGamma[7] + DiracGamma[LorentzIndex[mu, -4 + D], -4 + D] . DiracGamma[6]"}, {"fcstDiracSimplify-ID13","FCSetDiracGammaScheme[\"NDR\"];\nDiracSimplify[DiracMatrix[6] .DiracMatrix[mu, Dimension -> D]]","DiracGamma[LorentzIndex[mu, D], D] . DiracGamma[7]"}, -{"fcstDiracSimplify-ID14","DiracSimplify[Spinor[p1, m1].(DiracSlash[p2]).DiracMatrix[7].Spinor[p2,m2]] // FCE", +{"fcstDiracSimplify-ID14","DiracSimplify[Spinor[Momentum[p1], m1].(DiracSlash[p2]).DiracMatrix[7].Spinor[Momentum[p2],m2]] // FCE", "m2*Spinor[Momentum[p1], m1, 1].GA[6].Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracSimplify-ID15", "DiracSimplify[Spinor[-Momentum[p2],0,1].GS[Polarization[k1,-I]].GS[k1].GS[Polarization[k2,-I]].GA[7].Spinor[Momentum[p1],0,1],DiracSubstitute67->True]//FCE", @@ -187,12 +187,35 @@ c2 DiracTrace[GA[mu, nu]]},FCE->True]","{4 c1 m - 2 c1 GS[p], 4 c2 MT[mu, nu]}"} p2].DiracSigma[GA[mu], GA[nu]].SpinorV[q2], -SpinorUBar[p].GA[mu, nu].SpinorV[q] SpinorUBar[p2].DiracSigma[ GA[mu], GA[nu]].SpinorV[q2]}, -LorentzIndexNames -> Table[mu[i], {i, 1, 10}]]]","0"} +LorentzIndexNames -> Table[mu[i], {i, 1, 10}]]]","0"}, +{"fcstDiracSimplify-ID42","DiracSimplify[ +Spinor[-Momentum[p1, D], mb, 1].GAD[Lor2].GA[7].GAD[$AL[$1649]].GAD[ + Ind95].GAD[Ind108].GAD[Ind115].GA[7].Spinor[-Momentum[p4, D], 0, + 1] Spinor[Momentum[p3, D], 0, 1].GAD[Ind95].GAD[Ind108].GAD[ + Ind115].GA[7].GAD[$AL[$1649]].GAD[Lor2].GA[7].Spinor[ + Momentum[p2, D], 0, 1], DiracOrder -> True, +LorentzIndexNames -> {i1, i2, i3, i4, i5}, FCE -> True]","-64 Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] + +112 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] - +24 D^2 Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] - +36 Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + +14 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] - +Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ + i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], + 0, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[ + Momentum[p2, D], 0, 1]"} }; - - Tests`Dirac`fcstDiracSimplifySirlin = ({ {"fcstDiracSimplifySirlin-ID1", diff --git a/Tests/Dirac/DiracTrick.test b/Tests/Dirac/DiracTrick.test index 13dc8ca1c..ec8d27ffe 100644 --- a/Tests/Dirac/DiracTrick.test +++ b/Tests/Dirac/DiracTrick.test @@ -23,8 +23,8 @@ Tests`Dirac`fcstDiracTrickACoreProperties = {"fcstDiracTrickCoreProperties-ID3", "DiracTrick[GA[i].m.GA[k]]//FCE", "m*GA[i] . GA[k]"}, {"fcstDiracTrickCoreProperties-ID4", -"DiracTrick[Spinor[p1, m1].GA[i].Spinor[p2, m2].Spinor[p3, \ -m3].GA[j].Spinor[p4,m4]]//FCE", +"DiracTrick[Spinor[Momentum[p1], m1].GA[i].Spinor[Momentum[p2], m2].Spinor[Momentum[p3], \ +m3].GA[j].Spinor[Momentum[p4],m4]]//FCE", "Spinor[Momentum[p1], m1, 1] . GA[i] . Spinor[Momentum[p2], m2, \ 1]*Spinor[Momentum[p3], m3, 1] . GA[j] . Spinor[Momentum[p4], m4, 1]"}, {"fcstDiracTrickCoreProperties-ID5", diff --git a/Tests/Feynman/FermionSpinSum.test b/Tests/Feynman/FermionSpinSum.test index a7cd7c4e6..1e082f670 100644 --- a/Tests/Feynman/FermionSpinSum.test +++ b/Tests/Feynman/FermionSpinSum.test @@ -16,14 +16,14 @@ Tests`Feynman`fcstFermionSpinSum = ({ {"fcstFermionSpinSum-ID1", -"FermionSpinSum[Spinor[p1, m1].GA[i].GA[5].Spinor[p2, m2] * \ -Spinor[p2, m2].GA[5].GA[i].Spinor[p1, m1]]//FCE", +"FermionSpinSum[Spinor[Momentum@p1, m1].GA[i].GA[5].Spinor[Momentum@p2, m2] * \ +Spinor[Momentum@p2, m2].GA[5].GA[i].Spinor[Momentum@p1, m1]]//FCE", "DiracTrace[(m1 + GS[p1]) . GA[i] . GA[5] . (m2 + GS[p2]) . GA[5] \ . GA[i]]"}, {"fcstFermionSpinSum-ID2", -"FermionSpinSum[Spinor[p1, m1].GA[i].GA[5].Spinor[p2, m2] \ -Spinor[k1, m3].GA[j].GA[5].Spinor[k2,m4] Spinor[k2, \ -m4].GA[5].GA[j].Spinor[k1, m3]*Spinor[p2, m2].GA[5].GA[i].Spinor[p1, \ +"FermionSpinSum[Spinor[Momentum@p1, m1].GA[i].GA[5].Spinor[Momentum@p2, m2] \ +Spinor[Momentum@k1, m3].GA[j].GA[5].Spinor[Momentum@k2,m4] Spinor[Momentum@k2, \ +m4].GA[5].GA[j].Spinor[Momentum@k1, m3]*Spinor[Momentum@p2, m2].GA[5].GA[i].Spinor[Momentum@p1, \ m1]]//FCE", "DiracTrace[(m3 + GS[k1]) . GA[j] . GA[5] . (m4 + GS[k2]) . GA[5] \ . GA[j]]*DiracTrace[(m1 + GS[p1]) . GA[i] . GA[5] . (m2 + GS[p2]) . \ @@ -33,13 +33,13 @@ GA[5] . GA[i]]"}, {"fcstFermionSpinSum-ID4", "FermionSpinSum[{a,b,c}]//FCE", "{a, b, c}"}, {"fcstFermionSpinSum-ID5", -"FermionSpinSum[Spinor[p1, m1].GA[i].GA[5].Spinor[p2, m2] \ -Spinor[p2, m2].GA[5].GA[i].Spinor[p1, m1]+a+b]//FCE", +"FermionSpinSum[Spinor[Momentum@p1, m1].GA[i].GA[5].Spinor[Momentum@p2, m2] \ +Spinor[Momentum@p2, m2].GA[5].GA[i].Spinor[Momentum@p1, m1]+a+b]//FCE", "a + b + DiracTrace[(m1 + GS[p1]) . GA[i] . GA[5] . (m2 + GS[p2]) \ . GA[5] . GA[i]]"}, {"fcstFermionSpinSum-ID6", -"FermionSpinSum[Spinor[p1, m1].GA[i].GA[5].Spinor[p2, m2] \ -Spinor[p2, m2].GA[5].GA[i].Spinor[p1, m1]+a+b,ExtraFactor->2]//FCE", +"FermionSpinSum[Spinor[Momentum@p1, m1].GA[i].GA[5].Spinor[Momentum@p2, m2] \ +Spinor[Momentum@p2, m2].GA[5].GA[i].Spinor[Momentum@p1, m1]+a+b,ExtraFactor->2]//FCE", "2*(a + b + DiracTrace[(m1 + GS[p1]) . GA[i] . GA[5] . (m2 + \ GS[p2]) . GA[5] . GA[i]])"}, {"fcstFermionSpinSum-ID7", @@ -47,7 +47,7 @@ GS[p2]) . GA[5] . GA[i]])"}, mq])*ComplexConjugate[SpinorUBar[p, mp].SpinorV[q, mq]]]//FCE", "DiracTrace[(mp + GS[p]) . (-mq + GS[q])]"}, {"fcstFermionSpinSum-ID8", -"FermionSpinSum[Spinor[pp, m].(GA[mu] f1 + GA[mu, 5] fa).Spinor[p, \ +"FermionSpinSum[Spinor[Momentum@pp, m].(GA[mu] f1 + GA[mu, 5] fa).Spinor[Momentum@p, \ m] Spinor[Momentum[p], m, 1].(-fa GA[5].GA[nu] + f1 GA[nu]).Spinor[ Momentum[pp], m, 1]] // ReplaceAll[#, DiracTrace -> Tr] & // FCE", "4*(f1^2*FV[p, nu]*FV[pp, mu] + fa^2*FV[p, nu]*FV[pp, mu] + \ @@ -63,32 +63,32 @@ SpinorU[p,m],D]]//FCE", SpinorV[p,m],D]]//FCE", "DiracTrace[(-m + GSD[p]) . GSD[p1] . GSD[p2]]"}, {"fcstFermionSpinSum-ID11", -"FermionSpinSum[ChangeDimension[Spinor[p1, \ -m1].GA[i].GA[5].Spinor[p2, m2] * Spinor[p2, \ -m2].GA[5].GA[i].Spinor[p1, m1],m]]//FCE", +"FermionSpinSum[ChangeDimension[Spinor[Momentum@p1, \ +m1].GA[i].GA[5].Spinor[Momentum@p2, m2] * Spinor[Momentum@p2, \ +m2].GA[5].GA[i].Spinor[Momentum@p1, m1],m]]//FCE", "DiracTrace[(m1 + DiracGamma[Momentum[p1, m], m]) . \ DiracGamma[LorentzIndex[i, m], m] . GA[5] . (m2 + \ DiracGamma[Momentum[p2, m], m]) . GA[5] . DiracGamma[LorentzIndex[i, \ m], m]]"}, {"fcstFermionSpinSum-ID12", -"FermionSpinSum[ChangeDimension[Spinor[p1, \ -m1].GA[i].GA[5].Spinor[p2, m2] * Spinor[p2, \ -m2].GA[5].GA[i].Spinor[p1, m1],m],Momentum\[Rule]{p1}]//FCE", +"FermionSpinSum[ChangeDimension[Spinor[Momentum@p1, \ +m1].GA[i].GA[5].Spinor[Momentum@p2, m2] * Spinor[Momentum@p2, \ +m2].GA[5].GA[i].Spinor[Momentum@p1, m1],m],Momentum\[Rule]{p1}]//FCE", "Spinor[Momentum[p2, m], m2, 1] . GA[5] . \ DiracGamma[LorentzIndex[i, m], m] . (m1 + DiracGamma[Momentum[p1, m], \ m]) . DiracGamma[LorentzIndex[i, m], m] . GA[5] . Spinor[Momentum[p2, \ m], m2, 1]"}, {"fcstFermionSpinSum-ID13", -"FermionSpinSum[ChangeDimension[Spinor[p1, \ -m1].GA[i].GA[5].Spinor[p2, m2] * Spinor[p2, \ -m2].GA[5].GA[i].Spinor[p1, m1],m],Momentum\[Rule]{p2}]//FCE", +"FermionSpinSum[ChangeDimension[Spinor[Momentum@p1, \ +m1].GA[i].GA[5].Spinor[Momentum@p2, m2] * Spinor[Momentum@p2, \ +m2].GA[5].GA[i].Spinor[Momentum@p1, m1],m],Momentum\[Rule]{p2}]//FCE", "Spinor[Momentum[p1, m], m1, 1] . DiracGamma[LorentzIndex[i, m], \ m] . GA[5] . (m2 + DiracGamma[Momentum[p2, m], m]) . GA[5] . \ DiracGamma[LorentzIndex[i, m], m] . Spinor[Momentum[p1, m], m1, 1]"}, {"fcstFermionSpinSum-ID14", -"FermionSpinSum[ChangeDimension[Spinor[p1, \ -m1].GA[i].GA[5].Spinor[p2, m2] * Spinor[p2, \ -m2].GA[5].GA[i].Spinor[p1, m1],m],Momentum\[Rule]{p1,p2}]//FCE", +"FermionSpinSum[ChangeDimension[Spinor[Momentum@p1, \ +m1].GA[i].GA[5].Spinor[Momentum@p2, m2] * Spinor[Momentum@p2, \ +m2].GA[5].GA[i].Spinor[Momentum@p1, m1],m],Momentum\[Rule]{p1,p2}]//FCE", "DiracTrace[(m1 + DiracGamma[Momentum[p1, m], m]) . \ DiracGamma[LorentzIndex[i, m], m] . GA[5] . (m2 + \ DiracGamma[Momentum[p2, m], m]) . GA[5] . DiracGamma[LorentzIndex[i, \ @@ -207,9 +207,9 @@ FCE -> True]", "-DiracTrace[(GS[k1] + MNeu[1]) . GA[6] . (me - GS[k2]) . GA[7] . \ (GS[p1] - MNeu[1]) . GA[7] . (me + GS[p2]) . GA[6]]"}, {"fcstFermionSpinSum-ID32", "FermionSpinSum[ -Spinor[p1, m1].GA[i].GA[5].Spinor[p2, m2] Spinor[k1, m3].GA[j].GA[ - 5].Spinor[k2, m4] Spinor[k2, m4].GA[5].GA[j].Spinor[k1, m3]* -Spinor[p2, m2].GA[5].GA[i].Spinor[p1, m1], Head -> spSum, +Spinor[Momentum@p1, m1].GA[i].GA[5].Spinor[Momentum@p2, m2] Spinor[Momentum@k1, m3].GA[j].GA[ + 5].Spinor[Momentum@k2, m4] Spinor[Momentum@k2, m4].GA[5].GA[j].Spinor[Momentum@k1, m3]* +Spinor[Momentum@p2, m2].GA[5].GA[i].Spinor[Momentum@p1, m1], Head -> spSum, FCE -> True]", "DiracTrace[ spSum[m3 + GS[k1]].GA[j].GA[5].spSum[m4 + GS[k2]].GA[5].GA[j]] DiracTrace[ diff --git a/Tests/Lorentz/FCReplaceMomenta.test b/Tests/Lorentz/FCReplaceMomenta.test index 766e2093c..356297c8a 100644 --- a/Tests/Lorentz/FCReplaceMomenta.test +++ b/Tests/Lorentz/FCReplaceMomenta.test @@ -41,10 +41,10 @@ Tests`Lorentz`fcstFCReplaceMomenta = "(a*DiracGamma[Momentum[q1, D], D] + c*DiracGamma[Momentum[q2, D], \ D])*Pair[Momentum[p, D], Momentum[q, D]]"}, {"fcstFCReplaceMomenta-ID8", -"FCReplaceMomenta[Spinor[p,m],{p\[Rule]a},Dimensions\[Rule]{4,D}]", +"FCReplaceMomenta[Spinor[Momentum[p],m],{p\[Rule]a},Dimensions\[Rule]{4,D}]", "Spinor[Momentum[p], m, 1]"}, {"fcstFCReplaceMomenta-ID9", -"FCReplaceMomenta[Spinor[p,m],{p\[Rule]a},Dimensions\[Rule]{4,D},\ +"FCReplaceMomenta[Spinor[Momentum[p],m],{p\[Rule]a},Dimensions\[Rule]{4,D},\ Head->Join[OptionValue[FCReplaceMomenta, Head],{Spinor}]]", "Spinor[Momentum[a], m, 1]"}, {"fcstFCReplaceMomenta-ID10", diff --git a/Tests/Shared/SharedObjects.test b/Tests/Shared/SharedObjects.test index 29f2c01de..3f472e705 100644 --- a/Tests/Shared/SharedObjects.test +++ b/Tests/Shared/SharedObjects.test @@ -949,14 +949,14 @@ D].DiracGamma[LorentzIndex[rho, D], D]"}, {"fcstSharedObjectsBehavior-ID190.8", "CSPD[a,0]", "0"}, {"fcstSharedObjectsBehavior-ID190.9", "CSPE[a,0]", "0"}, {"fcstSharedObjectsBehavior-ID191", "Spinor[Momentum[p], m]", "Spinor[Momentum[p], m, 1]"}, -{"fcstSharedObjectsBehavior-ID192", "Spinor[p, m]", "Spinor[Momentum[p], m, 1]"}, +{"fcstSharedObjectsBehavior-ID192", "Spinor[p, m]", "Spinor[p, m, 1]"}, {"fcstSharedObjectsBehavior-ID192.1", "Spinor[HoldForm[p], m]", "Spinor[HoldForm[p], m, 1]"}, {"fcstSharedObjectsBehavior-ID193", "Spinor[Momentum[p, D], m]", " Spinor[Momentum[p,D], m, 1]"}, {"fcstSharedObjectsBehavior-ID194", "Spinor[Momentum[-p, D], m]", "Spinor[-Momentum[p,D], m, 1]"}, {"fcstSharedObjectsBehavior-ID195", "Spinor[a + b Momentum[p1 + p2], m]", "Spinor[a + b (Momentum[p1+p2]), m, 1]"}, -{"fcstSharedObjectsBehavior-ID196", "Spinor[a, b SmallVariable[c]]", "Spinor[Momentum[a], 0, 1]"}, -{"fcstSharedObjectsBehavior-ID197", "Spinor[p]", "Spinor[Momentum[p], 0, 1]"}, +{"fcstSharedObjectsBehavior-ID196", "Spinor[a, b SmallVariable[c]]", "Spinor[a, 0, 1]"}, +{"fcstSharedObjectsBehavior-ID197", "Spinor[p]", "Spinor[p, 0, 1]"}, {"fcstSharedObjectsBehavior-ID198", "SUND[SUNIndex[a], SUNIndex[a], b]", " 0"}, {"fcstSharedObjectsBehavior-ID199", "SUND[SUNIndex[1], SUNIndex[1], b]", "SUND[ExplicitSUNIndex[1], ExplicitSUNIndex[1], b]"}, {"fcstSharedObjectsBehavior-ID200", "SUND[a, b, c]", "SUND[a, b, c]"}, {"fcstSharedObjectsBehavior-ID201", "SUND[a, b, c, Explicit -> True]", From c5c6dd1cc533809af3d79b7e2bd9987e42961921 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 27 Feb 2020 10:58:21 +0100 Subject: [PATCH 18/86] Added new option ClearHeads to ToStandardMatrixElement. This allows to apply the function to expressions that are already wrapped into StandardMatrixElement heads. --- FeynCalc/Feynman/ToStandardMatrixElement.m | 7 ++++++- Tests/Feynman/ToStandardMatrixElement.test | 6 ++++++ 2 files changed, 12 insertions(+), 1 deletion(-) diff --git a/FeynCalc/Feynman/ToStandardMatrixElement.m b/FeynCalc/Feynman/ToStandardMatrixElement.m index 8192fbfc5..18c323c7c 100755 --- a/FeynCalc/Feynman/ToStandardMatrixElement.m +++ b/FeynCalc/Feynman/ToStandardMatrixElement.m @@ -36,6 +36,7 @@ CartesianIndex -> False, CartesianIndexNames -> {}, ChangeDimension -> False, + ClearHeads -> {StandardMatrixElement}, DiracOrder -> True, DiracSimplify -> True, DiracEquation -> True, @@ -66,7 +67,7 @@ ToStandardMatrixElement[#, opts]&/@expr; ToStandardMatrixElement[expr_/;Head[expr]=!=List, OptionsPattern[]]:= - Block[{ex,res,time, chead, dhead, holdDOT, optTimeConstrained}, + Block[{ex,res,time, chead, dhead, holdDOT, optTimeConstrained,optClearHeads}, If [OptionValue[FCVerbose]===False, @@ -77,6 +78,7 @@ ]; optTimeConstrained = OptionValue[TimeConstrained]; + optClearHeads = OptionValue[ClearHeads]; FCPrint[1,"ToStandardMatrixElement: Entering.", FCDoControl->tsmeVerbose]; FCPrint[3,"ToStandardMatrixElement: Entering with: ", expr, FCDoControl->tsmeVerbose]; @@ -87,6 +89,9 @@ ex = FCI[expr] ]; + If[ optClearHeads=!={}, + ex = ex/. (Map[Rule[#, Identity] &, optClearHeads]) + ]; If[ OptionValue[DiracSimplify], time=AbsoluteTime[]; diff --git a/Tests/Feynman/ToStandardMatrixElement.test b/Tests/Feynman/ToStandardMatrixElement.test index b737854e6..159db0696 100644 --- a/Tests/Feynman/ToStandardMatrixElement.test +++ b/Tests/Feynman/ToStandardMatrixElement.test @@ -410,5 +410,11 @@ Spinor[Momentum[p1], 0, 1].GA[i1].GA[i2].GA[ FCE -> True]","StandardMatrixElement[ Spinor[Momentum[p], m, 1].GA[mu].GA[6].Spinor[-Momentum[q], M, 1]] + StandardMatrixElement[ +Spinor[Momentum[p], m, 1].GA[mu].GA[7].Spinor[-Momentum[q], M, 1]]"}, +{"fcstToStandardMatrixElement-ID16", "ToStandardMatrixElement[ +StandardMatrixElement[SpinorUBar[p, m].GA[mu].SpinorV[q, M]], +FCE -> True]","StandardMatrixElement[ +Spinor[Momentum[p], m, 1].GA[mu].GA[6].Spinor[-Momentum[q], M, 1]] + +StandardMatrixElement[ Spinor[Momentum[p], m, 1].GA[mu].GA[7].Spinor[-Momentum[q], M, 1]]"} }); From d6e148778374460e09504c4b49b93e78f9e19012 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 27 Feb 2020 11:26:17 +0100 Subject: [PATCH 19/86] Improved DiracSimplify to work also for equations. --- FeynCalc/Dirac/DiracSimplify.m | 3 +++ Tests/Dirac/DiracSimplify.test | 4 +++- 2 files changed, 6 insertions(+), 1 deletion(-) diff --git a/FeynCalc/Dirac/DiracSimplify.m b/FeynCalc/Dirac/DiracSimplify.m index a0576e769..cedcce3d5 100755 --- a/FeynCalc/Dirac/DiracSimplify.m +++ b/FeynCalc/Dirac/DiracSimplify.m @@ -83,6 +83,9 @@ }; +DiracSimplify[a_ == b_, opts:OptionsPattern[]] := + DiracSimplify[a,opts] == DiracSimplify[b,opts]; + DiracSimplify[expr_List, opts:OptionsPattern[]] := DiracSimplify[#, opts]&/@expr; diff --git a/Tests/Dirac/DiracSimplify.test b/Tests/Dirac/DiracSimplify.test index 080156626..1c1a4fd43 100644 --- a/Tests/Dirac/DiracSimplify.test +++ b/Tests/Dirac/DiracSimplify.test @@ -212,7 +212,9 @@ LorentzIndexNames -> {i1, i2, i3, i4, i5}, FCE -> True]","-64 Spinor[-Momentum[p Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[ - Momentum[p2, D], 0, 1]"} + Momentum[p2, D], 0, 1]"}, +{"fcstDiracSimplify-ID43","DiracSimplify[a GS[p.p] + b GS[q.p.q] == c GS[p], FCE -> True]", +"a SP[p, p] + 2 b GS[q] SP[p, q] - b GS[p] SP[q, q] == c GS[p]"} }; From f5b9911877046e905e5e1e0d2b30acb43edb5c93 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 27 Feb 2020 11:54:15 +0100 Subject: [PATCH 20/86] Fixed a bug in FCReplaceD where applying the function to DiracChains lead to incorrect output. --- FeynCalc/LoopIntegrals/FCReplaceD.m | 6 ++++-- Tests/LoopIntegrals/FCReplaceD.test | 9 ++++++++- 2 files changed, 12 insertions(+), 3 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCReplaceD.m b/FeynCalc/LoopIntegrals/FCReplaceD.m index 61cb0755d..b7f7d6789 100755 --- a/FeynCalc/LoopIntegrals/FCReplaceD.m +++ b/FeynCalc/LoopIntegrals/FCReplaceD.m @@ -48,7 +48,7 @@ FCReplaceD[expr_, Rule[dim_Symbol, x_], OptionsPattern[]] := Block[{ex,vectorSet,res,check, scalarTerm, vectorTerm=1, pref=1, tmp, - scaleless1=0,scaleless2=0,ruleProtect,holddim,diga, pasi}, + scaleless1=0,scaleless2=0,ruleProtect,holddim,diga, pasi, dchn}, FCPrint[1,"FCReplaceD: dim: " ,dim, FCDoControl->fcrdVerbose]; @@ -64,7 +64,7 @@ ex = expr ]; - tmp = ex /. DiracGamma -> diga /. PauliSigma -> pasi; + tmp = ex/. DiracChain->dchn /. DiracGamma -> diga /. PauliSigma -> pasi; tmp = tmp //. { diga[a_,di_] :> diga[holddim[a,ToString[di,InputForm]]], pasi[a_,di_] :> pasi[holddim[a,ToString[di,InputForm]]]}; @@ -97,6 +97,8 @@ res = res /. pasi[holddim[a_,str_String]] :> PauliSigma[a,ToExpression[str]]; res = res /. pasi[a_]/;Head[a]=!=holddim :> PauliSigma[a]; + res = res /. dchn -> DiracChain; + If[ !FreeQ2[res,{holddim,diga,pasi}], Message[FCReplaceD::resfail]; Abort[] diff --git a/Tests/LoopIntegrals/FCReplaceD.test b/Tests/LoopIntegrals/FCReplaceD.test index ab505f72a..0d0b4beb4 100644 --- a/Tests/LoopIntegrals/FCReplaceD.test +++ b/Tests/LoopIntegrals/FCReplaceD.test @@ -54,5 +54,12 @@ CartesianMomentum[p]])/ScaleMu^(2*Epsilon)"}, "FCReplaceD[CGA[x],D\[Rule]4-2 Epsilon,FCE\[Rule]True]", "CGA[x]"}, {"fcstFCReplaceD-ID18", -"FCReplaceD[CV[x,i],D\[Rule]4-2 Eps,FCE\[Rule]True]", "CV[x, i]"} +"FCReplaceD[CV[x,i],D\[Rule]4-2 Eps,FCE\[Rule]True]", "CV[x, i]"}, +{"fcstFCReplaceD-ID19", +"FCReplaceD[(D - 2) DiracChain[ +D DiracGamma[LorentzIndex[mu1, D], D].DiracGamma[7], DiracIndex[i], + DiracIndex[j]] DiracChain[ +DiracGamma[LorentzIndex[mu1, D], D].DiracGamma[7], DiracIndex[k], +DiracIndex[l]], D -> 4 - 2 Epsilon, FCE -> True]", "(2 - 2 Epsilon) DCHN[GAD[mu1].GA[7], k, +l] DCHN[(4 - 2 Epsilon) GAD[mu1].GA[7], i, j]"} } From 9334673744cd858860c14d80e0bcf24be367e35c Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 27 Feb 2020 11:55:12 +0100 Subject: [PATCH 21/86] Small performance improvement in FCFADiracChainJoin. --- FeynCalc/Feynman/FCFADiracChainJoin.m | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FeynCalc/Feynman/FCFADiracChainJoin.m b/FeynCalc/Feynman/FCFADiracChainJoin.m index 97695bbde..6faa68233 100644 --- a/FeynCalc/Feynman/FCFADiracChainJoin.m +++ b/FeynCalc/Feynman/FCFADiracChainJoin.m @@ -99,7 +99,7 @@ tmp = FCDiracIsolate[ex,FCI->True,Head->dsHead, DotSimplify->False, DiracGammaCombine->False, FCJoinDOTs-> False, DiracSigmaExplicit->False, LorentzIndex->False, Spinor->False, DiracGamma->False, DiracChain->True, - Factoring -> False]; + Factoring -> False, Expanding->False]; diracObjects = Cases[tmp+null1+null2, dsHead[_], Infinity]//Sort//DeleteDuplicates; FCPrint[1, "FCFADiracChainJoin: Done isolating spinor chains, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dchjVerbose]; From 7144716f1682d39130d2d9dac0ffe81f6f2db7e7 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 28 Feb 2020 12:25:14 +0100 Subject: [PATCH 22/86] Improved DiracOrder to ensure that the indices are always correctly ordered, even when we have products of multiple Dirac chains. --- FeynCalc/Dirac/DiracOrder.m | 64 +++++++----- Tests/Dirac/DiracOrder.test | 189 +++++++++++++++++++++++++++++++++--- 2 files changed, 215 insertions(+), 38 deletions(-) diff --git a/FeynCalc/Dirac/DiracOrder.m b/FeynCalc/Dirac/DiracOrder.m index e67ca5572..d50803d91 100644 --- a/FeynCalc/Dirac/DiracOrder.m +++ b/FeynCalc/Dirac/DiracOrder.m @@ -54,7 +54,8 @@ DiracOrder[expr, {}, opts]; DiracOrder[expr_, orderList_List/; (!OptionQ[orderList] || orderList==={}), OptionsPattern[]]:= - Block[{ex,res,dsHead,dsPart,freePart,null1,null2,diracObjects,tmp, maxIterations, diracObjectsEval, repRule,time}, + Block[{ ex,res,dsHead,dsPart,freePart,null1,null2,diracObjects, + tmp, maxIterations, diracObjectsEval, repRule,time}, maxIterations = OptionValue[MaxIterations]; @@ -78,12 +79,13 @@ FCPrint[3, "DiracOrder: Entering with ", ex, FCDoControl->doVerbose]; If[ OptionValue[FCDiracIsolate], + (* This is the normal mode which works well both for large and small expressions *) FCPrint[1, "DiracOrder: Normal mode.", FCDoControl->doVerbose]; time=AbsoluteTime[]; FCPrint[1, "DiracOrder: Extracting Dirac objects.", FCDoControl->doVerbose]; ex = FCDiracIsolate[ex,FCI->True,Head->dsHead, DotSimplify->True, DiracChain->True, - DiracGammaCombine->OptionValue[DiracGammaCombine], FCJoinDOTs->OptionValue[FCJoinDOTs]]; + DiracGammaCombine->OptionValue[DiracGammaCombine], FCJoinDOTs->OptionValue[FCJoinDOTs], Split->False]; {freePart,dsPart} = FCSplit[ex,{dsHead}]; @@ -93,26 +95,46 @@ diracObjects = Cases[dsPart+null1+null2, dsHead[_], Infinity]//DeleteDuplicates//Sort; FCPrint[1, "DiracOrder: Done extracting Dirac objects, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose]; + diracObjectsEval = diracObjects; + + If[ OptionValue[DiracTrick]===True, + time=AbsoluteTime[]; + FCPrint[1, "DiracOrder: Applying DiracTrick.", FCDoControl->doVerbose]; + diracObjectsEval = DiracTrick[#,FCI->True]&/@diracObjectsEval; + diracObjectsEval =FeynCalc`Package`diracChainContract /@ diracObjectsEval; + FCPrint[1, "DiracOrder: Done applying DiracTrick,timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose]; + FCPrint[3, "DiracOrder: After DiracTrick: ", diracObjectsEval, FCDoControl->doVerbose]; + ]; + time=AbsoluteTime[]; If[orderList=!={}, FCPrint[1, "DiracOrder: Ordering according to: ", orderList, FCDoControl->doVerbose]; - diracObjectsEval = Map[diracOrderCustom[#,orderList]&, (diracObjects/. DOT -> holdDOT/.dsHead->Identity)]; + diracObjectsEval = Map[diracOrderCustom[#,orderList]&, (diracObjectsEval/. DOT -> holdDOT/.dsHead->Identity)]; FCPrint[1, "DiracOrder: Ordering done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose], - FCPrint[1, "DiracOrder. Using lexicographic ordering.", FCDoControl->doVerbose]; - diracObjectsEval = Map[diracOrderLex[#,maxIterations]&, (diracObjects/. DOT -> holdDOT/.dsHead->Identity)]; + FCPrint[1, "DiracOrder. Using canonical ordering.", FCDoControl->doVerbose]; + diracObjectsEval = Map[diracOrderLex[#,maxIterations]&, (diracObjectsEval/. DOT -> holdDOT/.dsHead->Identity)]; FCPrint[1, "DiracOrder: Ordering done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose] ]; + FCPrint[3, "DiracOrder: Intermediate result: ", diracObjectsEval, FCDoControl->doVerbose]; + + time=AbsoluteTime[]; FCPrint[1, "DiracOrder: Inserting Dirac objects back.", FCDoControl->doVerbose]; + diracObjectsEval = diracObjectsEval /. holdDOT[]->1 /.holdDOT->DOT /. PairContract->Pair; - diracObjectsEval = diracObjectsEval /. holdDOT[]->1 /.holdDOT->DOT /. PairContract -> Pair; - If[ !FreeQ[diracObjectsEval,CartesianPair], - diracObjectsEval = diracObjectsEval/. CartesianPair->CartesianPairContract /. CartesianPairContract->CartesianPair + If[ (OptionValue[DiracTrick]===True || OptionValue[DiracTrick]===Last) && FreeQ[orderList,ExplicitLorentzIndex[0]], + time=AbsoluteTime[]; + FCPrint[1, "DiracOrder: Applying DiracTrick.", FCDoControl->doVerbose]; + diracObjectsEval = DiracTrick[#,FCI->True]&/@diracObjectsEval; + diracObjectsEval =FeynCalc`Package`diracChainContract /@ diracObjectsEval; + FCPrint[1, "DiracOrder: Done applying DiracTrick,timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose]; + FCPrint[3, "DiracOrder: After DiracTrick: ", diracObjectsEval, FCDoControl->doVerbose]; ]; repRule = Thread[Rule[diracObjects, diracObjectsEval]]; + FCPrint[3,"DiracOrder: repRule: ",repRule , FCDoControl->doVerbose]; tmp = freePart + (dsPart/. Dispatch[repRule]); FCPrint[1, "DiracOrder: Done inserting Dirac objects back, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose]; @@ -133,24 +155,22 @@ FCPrint[1, "DiracOrder: Ordering done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose] ]; - tmp = tmp/. holdDOT[]->1 /.holdDOT->DOT /. PairContract -> Pair; - If[ !FreeQ[diracObjectsEval,CartesianPair], - diracObjectsEval = diracObjectsEval/. CartesianPair->CartesianPairContract /. CartesianPairContract->CartesianPair - ]; - - ]; - + tmp = tmp/. holdDOT[]->1 /.holdDOT->DOT /. PairContract->Pair; + tmp = FeynCalc`Package`diracChainContract[tmp]; - res = tmp; - - (* If orderingList contains an ExplicitLorentzIndex[0], do not apply DiracTrick, since it would mess up the ordering! *) - If[ OptionValue[DiracTrick] && FreeQ[orderList,ExplicitLorentzIndex[0]], + If[ OptionValue[DiracTrick] && FreeQ[orderList,ExplicitLorentzIndex[0]], time=AbsoluteTime[]; FCPrint[1, "DiracOrder: Applying DiracTrick.", FCDoControl->doVerbose]; - res = DiracTrick[res, FCI->True]; + tmp = DiracTrick[tmp,FCI->True]; + tmp = FeynCalc`Package`diracChainContract[tmp]; FCPrint[1, "DiracOrder: Done applying DiracTrick,timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose] + ] + ]; + + res = tmp; + FCPrint[1, "DiracOrder: Leaving.", FCDoControl->doVerbose]; FCPrint[3, "DiracOrder: Leaving with ", res, FCDoControl->doVerbose]; @@ -163,7 +183,7 @@ ]; diracOrderLex[x_, maxIterations_]:= - FixedPoint[(# /. { + FixedPoint[(FeynCalc`Package`diracChainContract[#] /. { holdDOT[a___,DiracGamma[(h1:LorentzIndex|Momentum|CartesianIndex|CartesianMomentum)[ar1__], dim1_:4],DiracGamma[(h2:LorentzIndex|Momentum|CartesianIndex|CartesianMomentum)[ar2__], dim2_:4],b___]/; !OrderedQ[{h1[First[{ar1}],dim1],h2[First[{ar2}],dim2]}] && h1[First[{ar1}],dim1]=!=h2[First[{ar2}],dim2] :> -holdDOT[a, DiracGamma[h2[ar2],dim2], DiracGamma[h1[ar1],dim1] ,b] + @@ -182,7 +202,7 @@ })&, x, maxIterations] customOrdering[x_, currentElement_]:= - x //. { + FeynCalc`Package`diracChainContract[x] //. { holdDOT[a___,DiracGamma[(h1:LorentzIndex|Momentum|CartesianIndex|CartesianMomentum)[ar1__], dim1_:4], DiracGamma[(h2:LorentzIndex|Momentum|CartesianIndex|CartesianMomentum)[ar2__], dim2_:4],b___]/; !FreeQ[h2[First[{ar2}],dim2],currentElement] && h1[First[{ar1}],dim1]=!=h2[First[{ar2}],dim2] :> diff --git a/Tests/Dirac/DiracOrder.test b/Tests/Dirac/DiracOrder.test index 5da12fa2b..4639f91df 100644 --- a/Tests/Dirac/DiracOrder.test +++ b/Tests/Dirac/DiracOrder.test @@ -75,12 +75,11 @@ True]", "-8*(8 - GA[mu] . GAD[mu]) + 2*(8 - GA[nu] . GAD[nu]) + \ {"fcstDiracOrder-ID24", "DiracOrder[GA[i1,i2,i3,i4],{i4,i3,i2,i1},FCE\ \[Rule]True]", -"GA[i4] . GA[i3] . GA[i2] . GA[i1] - 2*GA[i4] . GA[i3]*MT[i1, i2] \ -+ 2*GA[i4] . GA[i2]*MT[i1, i3] - 2*GA[i3] . GA[i2]*MT[i1, i4] - \ -2*GA[i4] . GA[i1]*MT[i2, i3] + 2*GA[i3] . GA[i1]*MT[i2, i4] - \ -2*GA[i2] . GA[i1]*MT[i3, i4] + 4*(MT[i1, i4]*MT[i2, i3] - MT[i1, \ -i3]*MT[i2, i4] + MT[i1, i2]*MT[i3, i4])"}, - +"GA[i4].GA[i3].GA[i2].GA[i1] - 2*GA[i4].GA[i3]*MT[i1, i2] + +2*GA[i4].GA[i2]*MT[i1, i3] - 2*GA[i3].GA[i2]*MT[i1, i4] - +2*GA[i4].GA[i1]*MT[i2, i3] + 4*MT[i1, i4]*MT[i2, i3] + +2*GA[i3].GA[i1]*MT[i2, i4] - 4*MT[i1, i3]*MT[i2, i4] - +2*GA[i2].GA[i1]*MT[i3, i4] + 4*MT[i1, i2]*MT[i3, i4]"}, {"fcstDiracOrder-ID25", "DiracOrder[CGA[a],FCE\[Rule]True]", "CGA[a]"}, {"fcstDiracOrder-ID26", "DiracOrder[CGA[b,a],FCE\[Rule]True]", @@ -110,7 +109,7 @@ i3]*MT[i2, i4] + MT[i1, i2]*MT[i3, i4])"}, "DiracOrder[CGA[mu,mu].CGS[p,p],FCE\[Rule]True]", "3*CSP[p, p]"}, {"fcstDiracOrder-ID36", "DiracOrder[CGAD[mu,mu].CGSD[p,p],FCE\[Rule]True]", -"-((1 - D)*CSPD[p, p])"}, +"(-1 + D)*CSPD[p, p]"}, {"fcstDiracOrder-ID37", "DiracOrder[CGAD[mu,mu].CGS[p,p],FCE\[Rule]True]", "-((1 - D)*CSP[p, p])"}, @@ -137,17 +136,16 @@ KDE[a,b],{b,a},FCDiracIsolate\[Rule]False,FCE\[Rule]True]", {"fcstDiracOrder-ID45", "DiracOrder[CGAD[nu,mu].CGA[nu,mu],DiracTrick\[Rule]False,FCE\ \[Rule]True]", -"6*(-6 - CGA[mu] . CGAD[mu]) - 2*(-6 - CGA[nu] . CGA[nu]) - \ -2*CGA[nu] . CGA[nu] - 4*CGA[nu] . CGAD[nu] - CGA[mu] . CGAD[mu] . \ -CGA[nu] . CGAD[nu]"}, +"12 + 6*(-6 - CGA[mu] . CGAD[mu]) - 4*CGA[nu] . CGAD[nu] - +CGA[mu] . CGAD[mu] . CGA[nu] . CGAD[nu]"}, {"fcstDiracOrder-ID46", "FCSetDiracGammaScheme[\"NDR\"]; DiracOrder[CGA[i1,i2,i3,i4],{i4,i3,i2,i1},FCE\ \[Rule]True]", -"CGA[i4] . CGA[i3] . CGA[i2] . CGA[i1] + 2*CGA[i4] . \ -CGA[i3]*KD[i1, i2] - 2*CGA[i4] . CGA[i2]*KD[i1, i3] + 2*CGA[i3] . \ -CGA[i2]*KD[i1, i4] + 2*CGA[i4] . CGA[i1]*KD[i2, i3] - 2*CGA[i3] . \ -CGA[i1]*KD[i2, i4] + 2*CGA[i2] . CGA[i1]*KD[i3, i4] + 4*(KD[i1, \ -i4]*KD[i2, i3] - KD[i1, i3]*KD[i2, i4] + KD[i1, i2]*KD[i3, i4])"}, +"CGA[i4] . CGA[i3] . CGA[i2] . CGA[i1] + 2*CGA[i4] . CGA[i3]*KD[i1, i2] - +2*CGA[i4] . CGA[i2]*KD[i1, i3] + 2*CGA[i3] . CGA[i2]*KD[i1, i4] + +2*CGA[i4] . CGA[i1]*KD[i2, i3] + 4*KD[i1, i4]*KD[i2, i3] - +2*CGA[i3] . CGA[i1]*KD[i2, i4] - 4*KD[i1, i3]*KD[i2, i4] + +2*CGA[i2] . CGA[i1]*KD[i3, i4] + 4*KD[i1, i2]*KD[i3, i4]"}, {"fcstDiracOrder-ID47", "DiracOrder[TGA[].CGA[i],FCE\[Rule]True]", "-CGA[i] . TGA[]"}, {"fcstDiracOrder-ID48", "FCSetDiracGammaScheme[\"BMHV\"]; \n tmp=DiracOrder[TGA[].CGAD[i],FCE\[Rule]True]; @@ -167,5 +165,164 @@ FCSetDiracGammaScheme[\"NDR\"]; \n tmp", {"fcstDiracOrder-ID53", "DiracOrder[DCHN[GA[j, i, l, k], a, b],FCE->True]", "DCHN[GA[i].GA[j].GA[k].GA[l] - 2 GA[k].GA[l] MT[i, j] - -2 GA[i].GA[j] MT[k, l] + 4 MT[i, j] MT[k, l], a, b]"} +2 GA[i].GA[j] MT[k, l] + 4 MT[i, j] MT[k, l], a, b]"}, +{"fcstDiracOrder-ID54", +"DiracOrder[ +Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ + i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], + 0, 1].GAD[i5].GAD[i4].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[ + Momentum[p2, D], 0, 1], FCE -> True]", +"8 (2 - D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] - +8 (2 - 4 D + D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GA[7].Spinor[Momentum[p2, D], 0, 1] - +8 (6 - 6 D + D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + +8 D Spinor[-Momentum[p1, D], mb, 1].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + +8 D Spinor[-Momentum[p1, D], mb, 1].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 (6 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - +Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ + i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], + 0, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[ + Momentum[p2, D], 0, 1]"}, +{"fcstDiracOrder-ID55", +"DiracOrder[ +Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ + i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], + 0, 1].GAD[i5].GAD[i4].GAD[i3].GAD[i2].GAD[i1].GA[7].Spinor[ + Momentum[p2, D], 0, 1], FCE->True]", +"-4 (4 - 3 D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] + +4 (4 - 10 D + 3 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GA[7].Spinor[Momentum[p2, D], 0, 1] + +12 (2 - D)^2 Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + +4 (4 - 10 D + 3 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - +4 (4 - 3 D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i4].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (6 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i4].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GAD[i4].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + +Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ + i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], + 0, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[ + Momentum[p2, D], 0, 1]"}, +{"fcstDiracOrder-ID54", +"DiracOrder[ +Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[7].GAD[i2].GAD[i3].GAD[ + i4].GAD[i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i5].GAD[i4].GAD[6].GAD[i3].GAD[i2].GAD[ + i1].GA[7].Spinor[Momentum[p2, D], 0, 1], FCE -> True]", +"-4 (4 - 3 D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] + +4 (4 - 10 D + 3 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GA[7].Spinor[Momentum[p2, D], 0, 1] + +12 (2 - D)^2 Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + +4 (4 - 10 D + 3 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - +4 (4 - 3 D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i2].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i4].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i1].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (6 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + +2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i4].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - +2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GAD[i4].GAD[i5].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + +Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ + i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], + 0, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[ + Momentum[p2, D], 0, 1]"} }); + + + From 443e5a5feb2ab3d5fb818786d427953a5d2c4a04 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 28 Feb 2020 20:05:43 +0100 Subject: [PATCH 23/86] Improved FCDiracIsolate for expressions with products of spinor chains (e.g. from 4-fermion operators) --- FeynCalc/Dirac/FCDiracIsolate.m | 90 +++++++++++++++++++++++---------- FeynCalc/Dirac/SirlinSimplify.m | 2 +- Tests/Dirac/FCDiracIsolate.test | 27 ++++++++-- 3 files changed, 87 insertions(+), 32 deletions(-) diff --git a/FeynCalc/Dirac/FCDiracIsolate.m b/FeynCalc/Dirac/FCDiracIsolate.m index f90cee42b..0951bfefe 100755 --- a/FeynCalc/Dirac/FCDiracIsolate.m +++ b/FeynCalc/Dirac/FCDiracIsolate.m @@ -29,6 +29,8 @@ Begin["`FCDiracIsolate`Private`"] +tmp::usage=""; + Options[FCDiracIsolate] = { CartesianIndex -> False, ClearHeads -> {FCGV["DiracChain"]}, @@ -73,7 +75,8 @@ FCDiracIsolate[expr_/; Head[expr]=!=List, OptionsPattern[]] := Block[{ res, null1, null2, ex,tmp, head, selectionList, time, fcdiVerbose, headsList, headsOrig, optTimeConstrained, - optHead, headR, allHeads, allHeadsEval, headNoMatrix}, + optHead, headR, allHeads, allHeadsEval, headNoMatrix, collectList, + optSplit}, If [OptionValue[FCVerbose]===False, fcdiVerbose=$VeryVerbose, @@ -83,8 +86,10 @@ ]; optTimeConstrained = OptionValue[TimeConstrained]; + optSplit = OptionValue[Split]; headsOrig = Complement[DiracHeadsList,OptionValue[ExceptHeads]]; headsList = headsOrig; + collectList = headsList; If[ OptionValue[Polarization], headsList = Join[headsList,{Polarization}]; @@ -98,6 +103,16 @@ headsList = Join[headsList,{CartesianIndex}]; ]; + If [ OptionValue[Polarization]=!=False, + collectList = Join[collectList,{Polarization}] + ]; + If [ OptionValue[LorentzIndex]=!=False, + collectList = Join[collectList,{LorentzIndex}] + ]; + If [ OptionValue[CartesianIndex]=!=False, + collectList = Join[collectList,{CartesianIndex}] + ]; + optHead = OptionValue[Head]; If[MatchQ[optHead,{_,_}], @@ -170,12 +185,13 @@ If[ OptionValue[Collecting], time=AbsoluteTime[]; FCPrint[1, "FCDiracIsolate: Applying Collect2.", FCDoControl->fcdiVerbose]; - ex = Collect2[ex,headsList,Factoring->OptionValue[Factoring],TimeConstrained->optTimeConstrained]; - FCPrint[1, "FCDiracIsolate: Done applying Collect2, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose] + ex = Collect2[ex,collectList,Factoring->OptionValue[Factoring],TimeConstrained->optTimeConstrained]; + FCPrint[1, "FCDiracIsolate: Done applying Collect2, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose]; + FCPrint[3, "FCDiracIsolate: After Collect2: ", ex, FCDoControl->fcdiVerbose] ]; time=AbsoluteTime[]; - FCPrint[1, "FCDiracIsolate: Handling Lorentz and Cartesian indices.", FCDoControl->fcdiVerbose]; + FCPrint[1, "FCDiracIsolate: Isolating heads.", FCDoControl->fcdiVerbose]; If[ OptionValue[LorentzIndex]===True || OptionValue[CartesianIndex]===True, res = (Map[(selectionList=makeSelectionList[#,headsList]; restHead[SelectFree[#, selectionList]] head[SelectNotFree[#, selectionList]])&, ex + null1 + null2] /. {null1 | null2 -> 0} /. head[1] -> 1), @@ -183,7 +199,7 @@ res = (Map[(restHead[SelectFree[#, headsList]] head[SelectNotFree[#, headsList]]) &, ex + null1 + null2] /. {null1 | null2 -> 0} /. head[1] -> 1) ]; - FCPrint[1, "FCDiracIsolate: Done handling Lorentz and Cartesian indices, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose]; + FCPrint[1, "FCDiracIsolate: Done isolating heads, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose]; If[ Together[(res /. restHead|head -> Identity)-ex] =!= 0, Message[FCDiracIsolate::fail, ex]; @@ -195,65 +211,72 @@ allHeadsEval = allHeadsEval /. {head[x_] /; !FreeQ2[x, OptionValue[ExceptHeads]] :> x}; - - If[ OptionValue[Split], + If[optSplit=!=False, time=AbsoluteTime[]; FCPrint[1, "FCDiracIsolate: Doing splittings.", FCDoControl->fcdiVerbose]; + Switch[optSplit, + True, + allHeadsEval = chainSplit[allHeadsEval,head], + _Symbol, + allHeadsEval = allHeadsEval /. head[x_]:> optSplit[chainSplit[head[x],head]], + _, + Null + ]; + + FCPrint[1, "FCDiracIsolate: Splittings done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose] + + ]; + +(* + If[ OptionValue[Split], + allHeadsEval = chainSplit[allHeadsEval,head]; + (* allHeadsEval = allHeadsEval //. head[a_holdDOT b_]/; !FreeQ[b, holdDOT] :> head[a] head[b]; If[ !FreeQ[allHeadsEval,Spinor], allHeadsEval = allHeadsEval /. { head[holdDOT[r1___,a_Spinor,b___,c_Spinor, d_Spinor, e___, f_Spinor, r2___]]/;FreeQ[{r1,b,e,r2}, Spinor] :> head[holdDOT[a,b,c]] head[holdDOT[d,e,f]] head[holdDOT[r1,r2]]} - ]; - FCPrint[1, "FCDiracIsolate: Splittings done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose] - ]; + ];*) + + ];*) time=AbsoluteTime[]; FCPrint[1, "FCDiracIsolate: Removing unneeded isolations.", FCDoControl->fcdiVerbose]; (* Here we unisolate objects that are not needed *) - If[ !OptionValue[DiracTrace], + If[ !OptionValue[DiracTrace] && !FreeQ[allHeadsEval,DiracTrace], allHeadsEval = allHeadsEval //. head[x_DiracTrace y_.] :> x head[y] ]; - If[ !OptionValue[DiracChain], + If[ !OptionValue[DiracChain] && !FreeQ[allHeadsEval,DiracChain], allHeadsEval = allHeadsEval //. head[x_DiracChain y_.] :> x head[y] //. head[holdDOT[x__] y_.]/; !FreeQ[{x},DiracChain] :> holdDOT[x] head[y] ]; - If[ !OptionValue[DiracGamma], + If[ !OptionValue[DiracGamma] && !FreeQ[allHeadsEval/. _DiracChain :> Unique["dch"], DiracGamma], allHeadsEval = allHeadsEval //. head[x_DiracGamma y_.] :> x head[y] //. head[holdDOT[x__] y_.]/; FreeQ[{x},Spinor] && !FreeQ[{x},DiracGamma] :> holdDOT[x] head[y] ]; - If[ OptionValue[Spinor]===False, - allHeadsEval = allHeadsEval //. head[holdDOT[x__] y_.]/; !FreeQ[{x},Spinor] :> holdDOT[x] head[y], - - - If[ OptionValue[Spinor]===Join, - allHeadsEval = allHeadsEval //. - head[holdDOT[a_Spinor,b___,c_Spinor] x_.] head[holdDOT[d_Spinor,e___,f_Spinor] y_.]/; FreeQ[{b,e},Spinor] :> - head[holdDOT[a,b,c] holdDOT[d,e,f] x y] - ] + FCPrint[1, "FCDiracIsolate: Done removing unneeded isolations, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose]; + If[ OptionValue[Spinor]===False && !FreeQ[allHeadsEval,Spinor], + allHeadsEval = allHeadsEval //. head[holdDOT[x__] y_.]/; !FreeQ[{x},Spinor] :> holdDOT[x] head[y] ]; - allHeadsEval = allHeadsEval /. holdDOT->DOT //. head[x_]/; FreeQ2[x,headsList] :> x; res = res /. Dispatch[Thread[Rule[allHeads,allHeadsEval]]]; - FCPrint[1, "FCDiracIsolate: Done removing unneeded isolations, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose]; - + FCPrint[1, "FCDiracIsolate: Handling nondirac pieces.", FCDoControl->fcdiVerbose]; + time=AbsoluteTime[]; If[ OptionValue[Isolate], - time=AbsoluteTime[]; - FCPrint[1, "FCDiracIsolate: Applying Isolate.", FCDoControl->fcdiVerbose]; res = res/. restHead[x_]:> Isolate[x,IsolateNames->OptionValue[IsolateNames],IsolateFast->OptionValue[IsolateFast]], res = res /. restHead[0]->0 /. restHead -> headR; - FCPrint[1, "FCDiracIsolate: Done applying Isolate, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose]; ]; + FCPrint[1, "FCDiracIsolate: Done handling nondirac pieces, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcdiVerbose]; tmp = headsList; @@ -280,6 +303,17 @@ res ]; + +chainSplit[ex_, head_]:= + ( + tmp = ex //. head[a_holdDOT b_]/; !FreeQ[b, holdDOT] :> head[a] head[b]; + If[ !FreeQ[tmp,Spinor], + tmp = tmp /. { + head[holdDOT[r1___,a_Spinor,b___,c_Spinor, d_Spinor, e___, f_Spinor, r2___]]/;FreeQ[{r1,b,e,r2}, Spinor] :> + head[holdDOT[a,b,c]] head[holdDOT[d,e,f]] head[holdDOT[r1,r2]]} + ]; + tmp + ); restHead[0]= 0; diff --git a/FeynCalc/Dirac/SirlinSimplify.m b/FeynCalc/Dirac/SirlinSimplify.m index 0d396a514..caf374f96 100755 --- a/FeynCalc/Dirac/SirlinSimplify.m +++ b/FeynCalc/Dirac/SirlinSimplify.m @@ -105,7 +105,7 @@ using relations derived by Sirlin in Nuclear Physics B192 (1981) 93-99. \ time=AbsoluteTime[]; tmp = FCDiracIsolate[tmp,FCI->True,Head->dsHead, DotSimplify->False, DiracGammaCombine->optDiracGammaCombine, FCJoinDOTs-> OptionValue[FCJoinDOTs], - DiracSigmaExplicit->optDiracSigmaExplicit, LorentzIndex->False, Spinor->Join, DiracGamma->False, Factoring -> OptionValue[Factoring]]; + DiracSigmaExplicit->optDiracSigmaExplicit, LorentzIndex->False, Split->False, DiracGamma->False, Factoring -> OptionValue[Factoring]]; FCPrint[1, "SirlinSimplify: Done isolating spinor chains, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->sisVerbose]; FCPrint[3, "SirlinSimplify: After FCDiracIsolate ", tmp, FCDoControl->sisVerbose]; diff --git a/Tests/Dirac/FCDiracIsolate.test b/Tests/Dirac/FCDiracIsolate.test index 309226b7f..a7fb30b5b 100644 --- a/Tests/Dirac/FCDiracIsolate.test +++ b/Tests/Dirac/FCDiracIsolate.test @@ -122,7 +122,7 @@ dch[Spinor[Momentum[p3, D], m, 1].GAD[Lor4].GSD[p3].GAD[Lor1].Spinor[Momentum[p1 Momentum[p], m, 1].GA[k].Spinor[Momentum[p], m, 1] + 6 Spinor[Momentum[k], m, 1].GA[$MU[$39]].GA[5].Spinor[Momentum[k], m, 1] Spinor[Momentum[p], m, 1].GA[$MU[$39]].GA[5].Spinor[ - Momentum[p], m, 1], Spinor -> Join, Head -> dch,FCE->True]", + Momentum[p], m, 1], Split -> False, Head -> dch,FCE->True]", "4 dch[Spinor[Momentum[k], m, 1].GA[i].Spinor[Momentum[k], m, 1] Spinor[Momentum[p], m, 1].GA[i].Spinor[Momentum[p], m, 1]] + 2 dch[Spinor[Momentum[k], m, 1].GA[j].Spinor[Momentum[k], m, @@ -162,7 +162,7 @@ a (2 Spinor[Momentum[p - q], m1, 1].GA[b].Spinor[Momentum[p], m1, m2 Spinor[Momentum[p + q], m2, 1].Spinor[Momentum[p], m2, 1] MT[ a, b] + 4 Spinor[Momentum[p + q], m2, 1].GS[q].Spinor[ Momentum[p], m2, 1] MT[a, b]), LorentzIndex -> All, -FCJoinDOTs -> True, Spinor -> Join, Head -> dsHead] // FCE", +FCJoinDOTs -> True, Split -> False, Head -> dsHead] // FCE", "32 a dsHead[ Spinor[Momentum[p - q], m1, 1].GA[b].Spinor[Momentum[p], m1, 1] Spinor[Momentum[p + q], m2, 1].GA[b].Spinor[Momentum[p], m2, @@ -287,6 +287,27 @@ FCDiracIsolate[#, DiracGammaCombine -> False, Head -> {dch, re}, FCJoinDOTs -> False, FCE -> True] &"}, {"fcstFCDiracIsolate-ID32", "FCDiracIsolate[x,Head->{di,re}]", "re[x]"}, {"fcstFCDiracIsolate-ID33", "FCDiracIsolate[{GA[i], GS[p]}, Head -> di, FCE -> True]", -"{di[GA[i]], di[GS[p]]}"} +"{di[GA[i]], di[GS[p]]}"}, +{"fcstFCDiracIsolate-ID34", "FCDiracIsolate[ +a SpinorUBar[p1, m].GA[mu].SpinorU[p2, m] SpinorVBar[p3, m].GA[ + mu].SpinorV[p4, m] + +b SpinorUBar[p1, m].GA[nu, rho].SpinorU[p2, m] SpinorVBar[p3, m].GA[ + nu, rho].SpinorV[p4, m] + +c SpinorUBar[p1, m].GA[nu].GS[q].SpinorU[p2, m] SpinorVBar[p3, + m].GA[nu].GS[q2].SpinorV[p4, m], Head -> dch, +Split -> dAll, FCE -> True]", +"a dAll[dch[ + Spinor[Momentum[p1], m, 1].GA[mu].Spinor[Momentum[p2], m, + 1]] dch[Spinor[-Momentum[p3], m, 1].GA[ + mu].Spinor[-Momentum[p4], m, 1]]] + +b dAll[dch[ + Spinor[Momentum[p1], m, 1].GA[nu].GA[rho].Spinor[Momentum[p2], m, + 1]] dch[ + Spinor[-Momentum[p3], m, 1].GA[nu].GA[rho].Spinor[-Momentum[p4], + m, 1]]] + +c dAll[dch[ + Spinor[Momentum[p1], m, 1].GA[nu].GS[q].Spinor[Momentum[p2], m, + 1]] dch[Spinor[-Momentum[p3], m, 1].GA[nu].GS[ + q2].Spinor[-Momentum[p4], m, 1]]]"} }); From 5660dbe4ce994ab4e8737878bc007e71270c2c50 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 28 Feb 2020 20:07:08 +0100 Subject: [PATCH 24/86] Improved DiracOrder to ensure that the indices are always correctly ordered, even when we have products of multiple Dirac chains. --- FeynCalc/Dirac/DiracOrder.m | 16 +- FeynCalc/Dirac/DiracTrick.m | 12 +- Tests/Dirac/DiracOrder.test | 308 ++++++++++++++++++++++++++---------- 3 files changed, 248 insertions(+), 88 deletions(-) diff --git a/FeynCalc/Dirac/DiracOrder.m b/FeynCalc/Dirac/DiracOrder.m index d50803d91..dff0799b1 100644 --- a/FeynCalc/Dirac/DiracOrder.m +++ b/FeynCalc/Dirac/DiracOrder.m @@ -42,6 +42,7 @@ Options[DiracOrder] = { DiracGammaCombine -> False, DiracTrick -> True, + DotSimplify -> True, FCDiracIsolate -> True, FCE -> False, FCI -> False, @@ -85,7 +86,8 @@ time=AbsoluteTime[]; FCPrint[1, "DiracOrder: Extracting Dirac objects.", FCDoControl->doVerbose]; ex = FCDiracIsolate[ex,FCI->True,Head->dsHead, DotSimplify->True, DiracChain->True, - DiracGammaCombine->OptionValue[DiracGammaCombine], FCJoinDOTs->OptionValue[FCJoinDOTs], Split->False]; + DiracGammaCombine->OptionValue[DiracGammaCombine], FCJoinDOTs->OptionValue[FCJoinDOTs], Split->False, + LorentzIndex->True, CartesianIndex->True]; {freePart,dsPart} = FCSplit[ex,{dsHead}]; @@ -124,10 +126,20 @@ FCPrint[1, "DiracOrder: Inserting Dirac objects back.", FCDoControl->doVerbose]; diracObjectsEval = diracObjectsEval /. holdDOT[]->1 /.holdDOT->DOT /. PairContract->Pair; + If[ OptionValue[DotSimplify], + time=AbsoluteTime[]; + FCPrint[1, "DiracOrder: Applying DotSimplify.", FCDoControl->doVerbose]; + diracObjectsEval = DotSimplify[#,FCI->True, Expanding->True]&/@diracObjectsEval; + FCPrint[1, "DiracOrder: Done applying DotSimplify,timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose]; + FCPrint[3, "DiracOrder: After DotSimplify: ", diracObjectsEval, FCDoControl->doVerbose]; + ]; + + If[ (OptionValue[DiracTrick]===True || OptionValue[DiracTrick]===Last) && FreeQ[orderList,ExplicitLorentzIndex[0]], time=AbsoluteTime[]; FCPrint[1, "DiracOrder: Applying DiracTrick.", FCDoControl->doVerbose]; - diracObjectsEval = DiracTrick[#,FCI->True]&/@diracObjectsEval; + diracObjectsEval = DiracTrick[#,FCI->True, FCDiracIsolate -> {DotSimplify -> False, Expanding -> False, + FCJoinDOTs -> False, DiracGammaCombine -> False, Factoring -> False}]&/@diracObjectsEval; diracObjectsEval =FeynCalc`Package`diracChainContract /@ diracObjectsEval; FCPrint[1, "DiracOrder: Done applying DiracTrick,timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->doVerbose]; FCPrint[3, "DiracOrder: After DiracTrick: ", diracObjectsEval, FCDoControl->doVerbose]; diff --git a/FeynCalc/Dirac/DiracTrick.m b/FeynCalc/Dirac/DiracTrick.m index 97ae023e6..8ffc1ba03 100755 --- a/FeynCalc/Dirac/DiracTrick.m +++ b/FeynCalc/Dirac/DiracTrick.m @@ -88,7 +88,7 @@ DiracTrick[expr_,OptionsPattern[]] := Block[{ res, tmp, ex, null1, null2, holdDOT, freePart, dsPart, diracObjects, - diracObjectsEval, repRule, time, dsHead}, + diracObjectsEval, repRule, time, dsHead, optFCDiracIsolate}, (* Algorithm of DiracTrick: @@ -129,6 +129,7 @@ create replacement rules (standard) and substitute the results back. *) optJoin = OptionValue[FCJoinDOTs]; + optFCDiracIsolate = OptionValue[FCDiracIsolate]; If [OptionValue[FCVerbose]===False, diTrVerbose=$VeryVerbose, @@ -156,14 +157,17 @@ create replacement rules (standard) and substitute the results back. - If[ OptionValue[FCDiracIsolate], + If[ optFCDiracIsolate===True || Head[optFCDiracIsolate]===List, (* This is the standard mode for calling DiracTrick *) FCPrint[1,"DiracTrick: Normal mode.", FCDoControl->diTrVerbose]; time=AbsoluteTime[]; FCPrint[1, "DiracTrick: Extracting Dirac objects.", FCDoControl->diTrVerbose]; (* First of all we need to extract all the Dirac structures in the input. *) - ex = FCDiracIsolate[ex,FCI->True,Head->dsHead, DotSimplify->True, DiracGammaCombine->OptionValue[DiracGammaCombine], - FCJoinDOTs -> optJoin, LorentzIndex->True, ToDiracGamma67-> OptionValue[ToDiracGamma67], DiracChain->OptionValue[DiracChain]]; + If[ TrueQ[Head[optFCDiracIsolate]===List], + ex = FCDiracIsolate[ex,FCI->True,Head->dsHead, optFCDiracIsolate], + ex = FCDiracIsolate[ex,FCI->True,Head->dsHead, DotSimplify->True, DiracGammaCombine->OptionValue[DiracGammaCombine], + FCJoinDOTs -> optJoin, LorentzIndex->True, ToDiracGamma67-> OptionValue[ToDiracGamma67], DiracChain->OptionValue[DiracChain]]; + ]; {freePart,dsPart} = FCSplit[ex,{dsHead}]; FCPrint[3,"DiracTrick: dsPart: ",dsPart , FCDoControl->diTrVerbose]; diff --git a/Tests/Dirac/DiracOrder.test b/Tests/Dirac/DiracOrder.test index 4639f91df..a56c50184 100644 --- a/Tests/Dirac/DiracOrder.test +++ b/Tests/Dirac/DiracOrder.test @@ -164,21 +164,21 @@ FCSetDiracGammaScheme[\"NDR\"]; \n tmp", "2*CGA[i] . TGA[]"}, {"fcstDiracOrder-ID53", "DiracOrder[DCHN[GA[j, i, l, k], a, b],FCE->True]", -"DCHN[GA[i].GA[j].GA[k].GA[l] - 2 GA[k].GA[l] MT[i, j] - -2 GA[i].GA[j] MT[k, l] + 4 MT[i, j] MT[k, l], a, b]"}, +"DCHN[GA[i].GA[j].GA[k].GA[l] - 2*GA[i].GA[j]*MT[k, l] + +2*MT[i, j]*(-GA[k].GA[l] + 2*MT[k, l]), a, b]"}, {"fcstDiracOrder-ID54", "DiracOrder[ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i5].GAD[i4].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[ Momentum[p2, D], 0, 1], FCE -> True]", -"8 (2 - D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ +"(16 D - 8 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] - -8 (2 - 4 D + D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GA[ + 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] + (-16 + 32 D - + 8 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i2].GA[7].Spinor[Momentum[p2, D], 0, 1] - -8 (6 - 6 D + D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GA[ + 1].GAD[i2].GA[7].Spinor[Momentum[p2, D], 0, 1] + (-48 + 48 D - + 8 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + 8 D Spinor[-Momentum[p1, D], mb, 1].GAD[i4].GA[ @@ -189,25 +189,28 @@ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ 1].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] - -2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i4].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i2].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + + 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, + 1] + (-4 + 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[ + i2].GAD[i4].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i1].GAD[i2].GAD[i4].GA[7].Spinor[ + Momentum[p2, D], 0, 1] + 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i5].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i2].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - -2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i4].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - -2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i5].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - -2 (6 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i4].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i2].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - -2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i5].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i2].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - + 1].GAD[i1].GAD[i2].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, + 1] + (-8 + 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[ + i3].GAD[i4].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i1].GAD[i3].GAD[i4].GA[7].Spinor[ + Momentum[p2, D], 0, 1] + (-4 + 2 D) Spinor[-Momentum[p1, D], mb, + 1].GAD[i1].GAD[i3].GAD[i5].GA[7].Spinor[-Momentum[p4, D], 0, + 1] Spinor[Momentum[p3, D], 0, 1].GAD[i1].GAD[i3].GAD[i5].GA[ + 7].Spinor[Momentum[p2, D], 0, 1] + (-12 + + 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i4].GA[ + 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, + 1].GAD[i2].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, + 1] + (-8 + 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[ + i3].GAD[i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i2].GAD[i3].GAD[i5].GA[7].Spinor[ + Momentum[p2, D], 0, 1] - Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[ @@ -218,46 +221,49 @@ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i5].GAD[i4].GAD[i3].GAD[i2].GAD[i1].GA[7].Spinor[ Momentum[p2, D], 0, 1], FCE->True]", -"-4 (4 - 3 D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ +"(-16 D + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] + -4 (4 - 10 D + 3 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GA[ + 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] + (16 - 40 D + + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i2].GA[7].Spinor[Momentum[p2, D], 0, 1] + -12 (2 - D)^2 Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GA[ + 1].GAD[i2].GA[7].Spinor[Momentum[p2, D], 0, 1] + (48 - 48 D + + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + -4 (4 - 10 D + 3 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i4].GA[ + 1].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + (16 - 40 D + + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i4].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - -4 (4 - 3 D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i5].GA[ + 1].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + (-16 D + + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i5].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i4].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i2].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - + 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, + 1] + (4 - 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[ + i2].GAD[i4].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i1].GAD[i2].GAD[i4].GA[7].Spinor[ + Momentum[p2, D], 0, 1] - 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i5].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i2].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i4].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i5].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - + 1].GAD[i1].GAD[i2].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, + 1] + (8 - 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[ + i3].GAD[i4].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i1].GAD[i3].GAD[i4].GA[7].Spinor[ + Momentum[p2, D], 0, 1] + (4 - 2 D) Spinor[-Momentum[p1, D], mb, + 1].GAD[i1].GAD[i3].GAD[i5].GA[7].Spinor[-Momentum[p4, D], 0, + 1] Spinor[Momentum[p3, D], 0, 1].GAD[i1].GAD[i3].GAD[i5].GA[ + 7].Spinor[Momentum[p2, D], 0, 1] - 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i4].GAD[i5].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (6 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i4].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i2].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i5].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i2].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i4].GAD[i5].GA[ + 1].GAD[i1].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, + 1] + (12 - 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[ + i3].GAD[i4].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i2].GAD[i3].GAD[i4].GA[7].Spinor[ + Momentum[p2, D], 0, 1] + (8 - 2 D) Spinor[-Momentum[p1, D], mb, + 1].GAD[i2].GAD[i3].GAD[i5].GA[7].Spinor[-Momentum[p4, D], 0, + 1] Spinor[Momentum[p3, D], 0, 1].GAD[i2].GAD[i3].GAD[i5].GA[ + 7].Spinor[Momentum[p2, D], 0, 1] + (4 - + 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i4].GAD[i5].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i2].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GAD[i4].GAD[i5].GA[ @@ -267,52 +273,55 @@ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[ Momentum[p2, D], 0, 1]"}, -{"fcstDiracOrder-ID54", +{"fcstDiracOrder-ID56", "DiracOrder[ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[7].GAD[i2].GAD[i3].GAD[ i4].GAD[i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ Momentum[p3, D], 0, 1].GAD[i5].GAD[i4].GAD[6].GAD[i3].GAD[i2].GAD[ i1].GA[7].Spinor[Momentum[p2, D], 0, 1], FCE -> True]", -"-4 (4 - 3 D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ +"(-16 D + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] + -4 (4 - 10 D + 3 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GA[ + 1].GAD[i1].GA[7].Spinor[Momentum[p2, D], 0, 1] + (16 - 40 D + + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i2].GA[7].Spinor[Momentum[p2, D], 0, 1] + -12 (2 - D)^2 Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GA[ + 1].GAD[i2].GA[7].Spinor[Momentum[p2, D], 0, 1] + (48 - 48 D + + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + -4 (4 - 10 D + 3 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i4].GA[ + 1].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + (16 - 40 D + + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i4].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - -4 (4 - 3 D) D Spinor[-Momentum[p1, D], mb, 1].GAD[i5].GA[ + 1].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + (-16 D + + 12 D^2) Spinor[-Momentum[p1, D], mb, 1].GAD[i5].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i4].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i2].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] - + 1].GAD[i1].GAD[i2].GAD[i3].GA[7].Spinor[Momentum[p2, D], 0, + 1] + (4 - 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[ + i2].GAD[i4].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i1].GAD[i2].GAD[i4].GA[7].Spinor[ + Momentum[p2, D], 0, 1] - 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i5].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i2].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i4].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i3].GAD[i5].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - + 1].GAD[i1].GAD[i2].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, + 1] + (8 - 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[ + i3].GAD[i4].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i1].GAD[i3].GAD[i4].GA[7].Spinor[ + Momentum[p2, D], 0, 1] + (4 - 2 D) Spinor[-Momentum[p1, D], mb, + 1].GAD[i1].GAD[i3].GAD[i5].GA[7].Spinor[-Momentum[p4, D], 0, + 1] Spinor[Momentum[p3, D], 0, 1].GAD[i1].GAD[i3].GAD[i5].GA[ + 7].Spinor[Momentum[p2, D], 0, 1] - 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i4].GAD[i5].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i1].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (6 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i4].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i2].GAD[i3].GAD[i4].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (4 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i3].GAD[i5].GA[ - 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, - 1].GAD[i2].GAD[i3].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] + -2 (2 - D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i4].GAD[i5].GA[ + 1].GAD[i1].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, + 1] + (12 - 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[ + i3].GAD[i4].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[ + Momentum[p3, D], 0, 1].GAD[i2].GAD[i3].GAD[i4].GA[7].Spinor[ + Momentum[p2, D], 0, 1] + (8 - 2 D) Spinor[-Momentum[p1, D], mb, + 1].GAD[i2].GAD[i3].GAD[i5].GA[7].Spinor[-Momentum[p4, D], 0, + 1] Spinor[Momentum[p3, D], 0, 1].GAD[i2].GAD[i3].GAD[i5].GA[ + 7].Spinor[Momentum[p2, D], 0, 1] + (4 - + 2 D) Spinor[-Momentum[p1, D], mb, 1].GAD[i2].GAD[i4].GAD[i5].GA[ 7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i2].GAD[i4].GAD[i5].GA[7].Spinor[Momentum[p2, D], 0, 1] - 2 D Spinor[-Momentum[p1, D], mb, 1].GAD[i3].GAD[i4].GAD[i5].GA[ @@ -321,7 +330,142 @@ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GA[7].GAD[i2].GAD[i3].GAD[ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ i5].GA[7].Spinor[-Momentum[p4, D], 0, 1] Spinor[Momentum[p3, D], 0, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[ - Momentum[p2, D], 0, 1]"} + Momentum[p2, D], 0, 1]"}, +{"fcstDiracOrder-ID57", +"DiracOrder[(ms Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GA[ + 6].Spinor[-Momentum[p3, D], ms, 1] - + Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GSD[p4].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] + + Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].(GSD[p2] + GSD[q]).GA[ + 7].Spinor[-Momentum[p3, D], ms, + 1]) (-ms Spinor[Momentum[p4, D], mb, 1].GAD[Lor1].GA[6].Spinor[ + Momentum[p2, D], ms, 1] + + Spinor[Momentum[p4, D], mb, 1].GSD[q].GAD[Lor1].GA[7].Spinor[ + Momentum[p2, D], ms, 1] + + 2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] FVD[p2, Lor1]), FCE -> True]", +"2 ms Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[p2].GA[ + 6].Spinor[-Momentum[p3, D], ms, 1] - +ms^2 Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GA[ + 6].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GA[6].Spinor[Momentum[p2, D], ms, 1] + +ms Spinor[Momentum[p4, D], mb, 1].GAD[Lor1].GA[6].Spinor[ + Momentum[p2, D], ms, 1] Spinor[-Momentum[p1, D], mb, 1].GAD[ + Lor1].GSD[p4].GA[7].Spinor[-Momentum[p3, D], ms, 1] - +ms (Spinor[Momentum[p4, D], mb, 1].GAD[Lor1].GA[6].Spinor[ + Momentum[p2, D], ms, 1] Spinor[-Momentum[p1, D], mb, 1].GAD[ + Lor1].GSD[p2].GA[7].Spinor[-Momentum[p3, D], ms, 1] + + Spinor[Momentum[p4, D], mb, 1].GAD[Lor1].GA[6].Spinor[ + Momentum[p2, D], ms, 1] Spinor[-Momentum[p1, D], mb, 1].GAD[ + Lor1].GSD[q].GA[7].Spinor[-Momentum[p3, D], ms, 1]) - +2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[p2].GSD[p4].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] + +2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[p4].GSD[q].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] + +2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[q].GSD[p2].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] - +Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GSD[p2].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GSD[q].GA[7].Spinor[Momentum[p2, D], ms, 1] + +Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GSD[p4].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GSD[q].GA[7].Spinor[Momentum[p2, D], ms, 1] - +Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GSD[q].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GSD[q].GA[7].Spinor[Momentum[p2, D], ms, 1] + +ms (2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], + ms, 1] Spinor[-Momentum[p1, D], mb, 1].GSD[q].GA[ + 6].Spinor[-Momentum[p3, D], ms, 1] - + Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GA[ + 6].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GSD[q].GA[7].Spinor[Momentum[p2, D], ms, 1]) + +2 (Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[p2].GSD[q].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] + + Spinor[-Momentum[p1, D], mb, 1].GA[7].Spinor[-Momentum[p3, D], ms, + 1] Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[ + Momentum[p2, D], ms, 1] SPD[p2, p2]) - +4 Spinor[-Momentum[p1, D], mb, 1].GA[7].Spinor[-Momentum[p3, D], ms, + 1] Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], + ms, 1] SPD[p4, q] + +2 Spinor[-Momentum[p1, D], mb, 1].GA[7].Spinor[-Momentum[p3, D], ms, + 1] Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], + ms, 1] SPD[q, q]"}, +{"fcstDiracOrder-ID58", +"DiracOrder[(ms Spinor[-Momentum[p1, D], mb, 1].DiracGamma[ + LorentzIndex[Lor1, D], D].DiracGamma[ + 6].Spinor[-Momentum[p3, D], ms, 1] - + Spinor[-Momentum[p1, D], mb, 1].DiracGamma[LorentzIndex[Lor1, D], + D].DiracGamma[Momentum[p4, D], D].DiracGamma[ + 7].Spinor[-Momentum[p3, D], ms, 1] + + Spinor[-Momentum[p1, D], mb, 1].DiracGamma[LorentzIndex[Lor1, D], + D].(DiracGamma[Momentum[p2, D], D] + + DiracGamma[Momentum[q, D], D]).DiracGamma[ + 7].Spinor[-Momentum[p3, D], ms, + 1]) (-ms Spinor[Momentum[p4, D], mb, 1].DiracGamma[ + LorentzIndex[Lor1, D], D].DiracGamma[6].Spinor[Momentum[p2, D], + ms, 1] + + Spinor[Momentum[p4, D], mb, 1].DiracGamma[Momentum[q, D], + D].DiracGamma[LorentzIndex[Lor1, D], D].DiracGamma[7].Spinor[ + Momentum[p2, D], ms, 1] + + 2 Spinor[Momentum[p4, D], mb, 1].DiracGamma[7].Spinor[ + Momentum[p2, D], ms, 1] Pair[LorentzIndex[Lor1, D], + Momentum[p2, D]]), FCE -> True]", +" 2 ms Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[p2].GA[ + 6].Spinor[-Momentum[p3, D], ms, 1] - +ms^2 Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GA[ + 6].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GA[6].Spinor[Momentum[p2, D], ms, 1] + +ms Spinor[Momentum[p4, D], mb, 1].GAD[Lor1].GA[6].Spinor[ + Momentum[p2, D], ms, 1] Spinor[-Momentum[p1, D], mb, 1].GAD[ + Lor1].GSD[p4].GA[7].Spinor[-Momentum[p3, D], ms, 1] - +ms (Spinor[Momentum[p4, D], mb, 1].GAD[Lor1].GA[6].Spinor[ + Momentum[p2, D], ms, 1] Spinor[-Momentum[p1, D], mb, 1].GAD[ + Lor1].GSD[p2].GA[7].Spinor[-Momentum[p3, D], ms, 1] + + Spinor[Momentum[p4, D], mb, 1].GAD[Lor1].GA[6].Spinor[ + Momentum[p2, D], ms, 1] Spinor[-Momentum[p1, D], mb, 1].GAD[ + Lor1].GSD[q].GA[7].Spinor[-Momentum[p3, D], ms, 1]) - +2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[p2].GSD[p4].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] + +2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[p4].GSD[q].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] + +2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[q].GSD[p2].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] - +Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GSD[p2].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GSD[q].GA[7].Spinor[Momentum[p2, D], ms, 1] + +Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GSD[p4].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GSD[q].GA[7].Spinor[Momentum[p2, D], ms, 1] - +Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GSD[q].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GSD[q].GA[7].Spinor[Momentum[p2, D], ms, 1] + +ms (2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], + ms, 1] Spinor[-Momentum[p1, D], mb, 1].GSD[q].GA[ + 6].Spinor[-Momentum[p3, D], ms, 1] - + Spinor[-Momentum[p1, D], mb, 1].GAD[Lor1].GA[ + 6].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, + 1].GAD[Lor1].GSD[q].GA[7].Spinor[Momentum[p2, D], ms, 1]) + +2 (Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, + 1] Spinor[-Momentum[p1, D], mb, 1].GSD[p2].GSD[q].GA[ + 7].Spinor[-Momentum[p3, D], ms, 1] + + Spinor[-Momentum[p1, D], mb, 1].GA[7].Spinor[-Momentum[p3, D], ms, + 1] Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[ + Momentum[p2, D], ms, 1] SPD[p2, p2]) - +4 Spinor[-Momentum[p1, D], mb, 1].GA[7].Spinor[-Momentum[p3, D], ms, + 1] Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], + ms, 1] SPD[p4, q] + +2 Spinor[-Momentum[p1, D], mb, 1].GA[7].Spinor[-Momentum[p3, D], ms, + 1] Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], + ms, 1] SPD[q, q]"} }); From 71c65fb46a17e6739410a7f49656b1df4eedb186 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 28 Feb 2020 20:10:19 +0100 Subject: [PATCH 25/86] Improved DiracSimplify and SpinorChainTrick for expression containing multiple products of Dirac spinors. However, to avoid unnecessary slowdowns from now on we will not canonicalize indices and apply Sirlin relations by default. When needed, those can be always enabled via options. --- FeynCalc/Dirac/DiracReduce.m | 5 +- FeynCalc/Dirac/DiracSimplify.m | 236 +++++++++++---------- FeynCalc/Dirac/SpinorChainTrick.m | 169 +++++++++------ FeynCalc/Feynman/ToStandardMatrixElement.m | 3 +- Tests/Dirac/DiracSimplify.test | 68 +++--- Tests/Feynman/ToStandardMatrixElement.test | 4 +- 6 files changed, 276 insertions(+), 209 deletions(-) diff --git a/FeynCalc/Dirac/DiracReduce.m b/FeynCalc/Dirac/DiracReduce.m index 91493877e..ab72d2ed3 100644 --- a/FeynCalc/Dirac/DiracReduce.m +++ b/FeynCalc/Dirac/DiracReduce.m @@ -41,6 +41,7 @@ to the standard basis (S,P,V,A,T) using the Chisholm identity (see Chisholm). \ Contract -> True, DiracGammaCombine -> True, DiracSimplify -> False, + DiracOrder -> True, DotSimplify -> True, FCE -> False, FCI -> False, @@ -93,8 +94,10 @@ to the standard basis (S,P,V,A,T) using the Chisholm identity (see Chisholm). \ tmp = Chisholm[tmp,FCI->True, DiracSimplify -> False]; FCPrint[3, "DiracReduce: After Chisholm: ", tmp, FCDoControl->drVerbose]; + If[ OptionValue[DiracOrder], tmp = DiracOrder[tmp, FCI->True]; FCPrint[3, "DiracReduce: After DiracOrder: ", tmp, FCDoControl->drVerbose]; + ]; tmp = Chisholm[tmp,FCI->True,DiracSimplify->False,Mode->2]; FCPrint[3, "DiracReduce: After Chisholm: ", tmp, FCDoControl->drVerbose]; @@ -103,7 +106,7 @@ to the standard basis (S,P,V,A,T) using the Chisholm identity (see Chisholm). \ FCPrint[3, "DiracReduce: After introducing DiracSigma: ", tmp, FCDoControl->drVerbose]; If[ diracSimplify, - tmp = DiracSimplify[tmp, DiracSigmaExplicit -> False, FCI->True]; + tmp = DiracSimplify[tmp, DiracSigmaExplicit -> False, FCI->True, FCCanonicalizeDummyIndices->True]; FCPrint[3, "DiracReduce: After DiracSimplify: ", tmp, FCDoControl->drVerbose] ]; diff --git a/FeynCalc/Dirac/DiracSimplify.m b/FeynCalc/Dirac/DiracSimplify.m index cedcce3d5..c64bcf077 100755 --- a/FeynCalc/Dirac/DiracSimplify.m +++ b/FeynCalc/Dirac/DiracSimplify.m @@ -31,6 +31,9 @@ (* ------------------------------------------------------------------------ *) Begin["`Package`"] + +diracChainContract; + End[] Begin["`DiracSimplify`Private`"] @@ -53,33 +56,34 @@ Options[DiracSimplify] = { - Contract -> True, - DiracChain -> True, - DiracChainJoin -> True, - DiracEquation -> True, - DiracGammaCombine -> False, - DiracOrder -> False, - DiracSigmaExplicit -> True, - DiracSubstitute5 -> False, - DiracSubstitute67 -> False, - DiracTrace -> True, - DiracTraceEvaluate -> True, - EpsContract -> True, - Expand2 -> True, - ExpandScalarProduct -> True, - Expanding -> True, - FCCheckSyntax -> False, - FCDiracIsolate -> True, - FCE -> False, - FCI -> False, - FCVerbose -> False, - Factoring -> False, - InsideDiracTrace -> False, - LorentzIndexNames -> {}, - CartesianIndexNames -> {}, - SirlinSimplify -> True, - SpinorChainTrick -> True, - ToDiracGamma67 -> True + CartesianIndexNames -> {}, + Contract -> True, + DiracChain -> True, + DiracChainJoin -> True, + DiracEquation -> True, + DiracGammaCombine -> False, + DiracOrder -> False, + DiracSigmaExplicit -> True, + DiracSubstitute5 -> False, + DiracSubstitute67 -> False, + DiracTrace -> True, + DiracTraceEvaluate -> True, + EpsContract -> True, + Expand2 -> True, + ExpandScalarProduct -> True, + Expanding -> True, + FCCanonicalizeDummyIndices -> False, + FCCheckSyntax -> False, + FCDiracIsolate -> True, + FCE -> False, + FCI -> False, + FCVerbose -> False, + Factoring -> False, + InsideDiracTrace -> False, + LorentzIndexNames -> {}, + SirlinSimplify -> False, + SpinorChainTrick -> True, + ToDiracGamma67 -> True }; @@ -90,8 +94,11 @@ DiracSimplify[#, opts]&/@expr; DiracSimplify[expr_/;Head[expr]=!=List, OptionsPattern[]] := - Block[{ex,res,time, null1, null2, holdDOT, freePart=0, dsPart, diracObjects, - diracObjectsEval, repRule, tmp, tmpHead}, + Block[{ex,res, time, null1, null2, holdDOT, freePart=0, dsPart, diracObjects, + diracObjectsEval, repRule, tmp, tmpHead, dsHead, dsHeadAll, diracObjectsAll, + diracObjectsAllEval, optFCCanonicalizeDummyIndices, timeTotal}, + + timeTotal = AbsoluteTime[]; If [OptionValue[FCVerbose]===False, dsVerbose=$VeryVerbose, @@ -100,19 +107,24 @@ ]; ]; - optContract = OptionValue[Contract]; - optDiracEquation = OptionValue[DiracEquation]; - optDiracGammaCombine = OptionValue[DiracGammaCombine]; - optDiracOrder = OptionValue[DiracOrder]; - optDiracSigmaExplicit = OptionValue[DiracSigmaExplicit]; - optDiracSubstitute5 = OptionValue[DiracSubstitute5]; - optDiracSubstitute67 = OptionValue[DiracSubstitute67]; - optDiracTraceEvaluate = OptionValue[DiracTraceEvaluate]; - optEpsContract = OptionValue[EpsContract]; - optExpandScalarProduct = OptionValue[ExpandScalarProduct]; - optExpanding = OptionValue[Expanding]; - optInsideDiracTrace = OptionValue[InsideDiracTrace]; - optToDiracGamma67 = OptionValue[ToDiracGamma67]; + optContract = OptionValue[Contract]; + optDiracEquation = OptionValue[DiracEquation]; + optDiracGammaCombine = OptionValue[DiracGammaCombine]; + optDiracOrder = OptionValue[DiracOrder]; + optDiracSigmaExplicit = OptionValue[DiracSigmaExplicit]; + optDiracSubstitute5 = OptionValue[DiracSubstitute5]; + optDiracSubstitute67 = OptionValue[DiracSubstitute67]; + optDiracTraceEvaluate = OptionValue[DiracTraceEvaluate]; + optEpsContract = OptionValue[EpsContract]; + optExpandScalarProduct = OptionValue[ExpandScalarProduct]; + optExpanding = OptionValue[Expanding]; + optInsideDiracTrace = OptionValue[InsideDiracTrace]; + optToDiracGamma67 = OptionValue[ToDiracGamma67]; + optFCCanonicalizeDummyIndices = OptionValue[FCCanonicalizeDummyIndices]; + + If[ OptionValue[LorentzIndexNames]=!={} || OptionValue[CartesianIndexNames]=!={}, + optFCCanonicalizeDummyIndices = True + ]; If[ OptionValue[Factoring] === Automatic, optFactoring = @@ -150,44 +162,53 @@ FCPrint[1,"DiracSimplify: Normal mode.", FCDoControl->dsVerbose]; time=AbsoluteTime[]; FCPrint[1, "DiracSimplify: Extracting Dirac objects.", FCDoControl->dsVerbose]; - (* First of all we need to extract all the Dirac structures in the input. *) + + (* First of all we need to extract all Dirac structures in the input. *) ex = FCDiracIsolate[ex,FCI->True,Head->dsHead, DotSimplify->True, DiracGammaCombine->OptionValue[DiracGammaCombine], DiracSigmaExplicit->OptionValue[DiracSigmaExplicit], LorentzIndex->True, CartesianIndex->True, - ToDiracGamma67->optToDiracGamma67, DiracChain->OptionValue[DiracChain]]; + ToDiracGamma67->optToDiracGamma67, DiracChain->OptionValue[DiracChain], Split->dsHeadAll]; If[ !FreeQ[ex,DiracTrace] && !OptionValue[DiracTrace], ex = ex /. dsHead[zz_]/; !FreeQ[zz,DiracTrace] :> zz ]; - {freePart,dsPart} = FCSplit[ex,{dsHead}]; + {freePart,dsPart} = FCSplit[ex,{dsHeadAll}]; + FCPrint[3,"DiracSimplify: dsPart: ",dsPart , FCDoControl->dsVerbose]; FCPrint[3,"DiracSimplify: freePart: ",freePart , FCDoControl->dsVerbose]; FCPrint[1, "DiracSimplify: Done extracting Dirac objects, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; diracObjects = Cases[dsPart+null1+null2, dsHead[_], Infinity]//Sort//DeleteDuplicates; + diracObjectsAll = Cases[dsPart+null1+null2, dsHeadAll[_], Infinity]//Sort//DeleteDuplicates; diracObjectsEval = diracObjects; + FCPrint[3,"DiracSimplify: diracObjects: ", diracObjects , FCDoControl->dsVerbose]; - If[ optDiracTraceEvaluate, + If[ OptionValue[Contract], + time=AbsoluteTime[]; + FCPrint[1, "DiracSimplify: Doing index contractions.", FCDoControl->dsVerbose]; + diracObjectsEval = diracChainContract[diracObjectsEval]; + FCPrint[1, "DiracSimplify: Index contractions done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; + FCPrint[3, "DiracSimplify: diracObjectsEval after index contractions: ", diracObjectsEval , FCDoControl->dsVerbose]; + + ]; + + If[ optDiracTraceEvaluate && !FreeQ[diracObjectsEval,DiracTrace], time=AbsoluteTime[]; FCPrint[1, "DiracSimplify: Calculating Dirac traces.", FCDoControl->dsVerbose]; diracObjectsEval = diracObjectsEval /. DiracTrace[zz_, opts:OptionsPattern[]] :> DiracTrace[zz, DiracTraceEvaluate->True, Expand-> optExpandScalarProduct, opts]; FCPrint[1, "DiracSimplify: Done calculating Dirac traces, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; - FCPrint[3,"DiracSimplify: diracObjects after calcuating Dirac traces: ", diracObjectsEval , FCDoControl->dsVerbose]; - - diracObjectsEval - - + FCPrint[3, "DiracSimplify: diracObjectsEval after calcuating Dirac traces: ", diracObjectsEval , FCDoControl->dsVerbose] ]; - If[ OptionValue[DiracChainJoin], + If[ OptionValue[DiracChainJoin] && !FreeQ[diracObjectsEval,DiracChain], time=AbsoluteTime[]; FCPrint[1, "DiracSimplify: Contracting Dirac indices.", FCDoControl->dsVerbose]; diracObjectsEval = diracObjectsEval /. dsHead[x_]/;!FreeQ[x,DiracChain] :> DiracChainJoin[x, FCI->True, FCDiracIsolate->False]; - FCPrint[1, "DiracSimplify: Done calculating Dirac traces, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; - FCPrint[3,"DiracSimplify: diracObjects after calcuating Dirac traces: ", diracObjects , FCDoControl->dsVerbose] + FCPrint[1, "DiracSimplify: Done contracting Dirac indices, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; + FCPrint[3,"DiracSimplify: diracObjectsEval after contracting Dirac indices: ", diracObjects , FCDoControl->dsVerbose] ]; time=AbsoluteTime[]; @@ -205,12 +226,12 @@ Abort[] ]; - FCPrint[1, "DiracSimplify: Inserting Dirac objects back.", FCDoControl->dsVerbose]; + FCPrint[1, "DiracSimplify: Inserting Dirac objects back into products.", FCDoControl->dsVerbose]; time=AbsoluteTime[]; repRule = Thread[Rule[diracObjects,diracObjectsEval]]; FCPrint[3,"DiracSimplify: repRule: ", repRule, FCDoControl->dsVerbose]; - tmp = (dsPart /. Dispatch[repRule]); - FCPrint[1, "DiracSimplify: Done inserting Dirac objects back, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose], + diracObjectsAllEval = diracObjectsAll /. dsHeadAll->Identity /. Dispatch[repRule]; + FCPrint[1, "DiracSimplify: Done inserting Dirac objects back into products, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose], (* This is a fast mode for input that is already isolated, e.g. for calling DiracSimplify/@exprList @@ -235,42 +256,42 @@ If[ !FreeQ2[tmp,{FeynCalc`Package`diracTrickEvalFastFromDiracSimplifySingle,diracSimplifyEval,holdDOT}], Message[DiracSimplify::failmsg,"Evaluation of isolated objects failed."]; Abort[] - ] - ]; - - FCPrint[3, "DiracSimplify: Intermediate result: ", tmp, FCDoControl->dsVerbose]; - - (* To simplify products of spinor chains we need to work with the full expression *) - If[ !FreeQ[tmp,Spinor], - - - If[ OptionValue[SpinorChainTrick], - - FCPrint[1, "DiracSimplify: Applying SpinorChainTrick.", FCDoControl->dsVerbose]; - time=AbsoluteTime[]; - tmp = SpinorChainTrick[tmp, FCI->True,DiracGammaCombine->optDiracGammaCombine, DiracSigmaExplicit->False, - LorentzIndexNames->OptionValue[LorentzIndexNames], CartesianIndexNames->OptionValue[CartesianIndexNames]]; - - FCPrint[1,"DiracSimplify: Done applying SpinorChainTrick, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; - FCPrint[3, "DiracSimplify: After SpinorChainTrick: ", tmp, FCDoControl->dsVerbose]; ]; + diracObjectsAllEval = tmp; + diracObjectsAll = dsHeadAll[tmp]; + dsPart = diracObjectsAll - If [ OptionValue[SirlinSimplify] && FCGetDimensions[tmp]==={4}, - - FCPrint[1, "DiracSimplify: Applying SirlinSimplify.", FCDoControl->dsVerbose]; - time=AbsoluteTime[]; - tmp = SirlinSimplify[tmp, FCI->True,DiracGammaCombine->optDiracGammaCombine, DiracSigmaExplicit->False, SpinorChainTrick->False]; + ]; + FCPrint[3, "DiracSimplify: Intermediate result: ", diracObjectsAllEval, FCDoControl->dsVerbose]; - FCPrint[1,"DiracSimplify: Done applying SirlinSimplify, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; - FCPrint[3, "DiracSimplify: AfteSirlinSimplify: ", tmp, FCDoControl->dsVerbose] - ] + (* + Here we need to take care of simplifications that can be done only when the full + Dirac structure in each term is taken into account, i.e. not just single chains but + the products of all chains. This is handled by SpinorChainTrick + *) + If[ OptionValue[SpinorChainTrick], + FCPrint[1, "DiracSimplify: Applying SpinorChainTrick.", FCDoControl->dsVerbose]; + time=AbsoluteTime[]; + diracObjectsAllEval = SpinorChainTrick[diracObjectsAllEval, FCI->True,FCDiracIsolate->List, DiracOrder -> optDiracOrder, + FCCanonicalizeDummyIndices->optFCCanonicalizeDummyIndices, DiracEquation-> optDiracEquation, + Contract -> optContract, LorentzIndexNames->OptionValue[LorentzIndexNames], + CartesianIndexNames->OptionValue[CartesianIndexNames], SirlinSimplify-> OptionValue[SirlinSimplify]]; + FCPrint[1,"DiracSimplify: Done applying SpinorChainTrick, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; + FCPrint[3, "DiracSimplify: After SpinorChainTrick: ", diracObjectsAllEval, FCDoControl->dsVerbose]; ]; + FCPrint[1, "DiracSimplify: Creating the final replacement rule.", FCDoControl->dsVerbose]; + time=AbsoluteTime[]; + repRule = Thread[Rule[diracObjectsAll,diracObjectsAllEval]]; + tmp = (dsPart /. Dispatch[repRule]); + tmp = tmp/.dsHeadAll->Identity; res = freePart + tmp; + FCPrint[3,"DiracSimplify: repRule: ", repRule, FCDoControl->dsVerbose]; + FCPrint[1, "DiracSimplify: Final replacement rule done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; If[ optExpanding && OptionValue[Expand2], time=AbsoluteTime[]; @@ -285,8 +306,8 @@ res = FCE[res] ]; - (*res = ex;*) FCPrint[1,"DiracSimplify: Leaving.", FCDoControl->dsVerbose]; + FCPrint[1,"DiracSimplify: Total timing: ", N[AbsoluteTime[] - timeTotal, 4], FCDoControl->dsVerbose]; FCPrint[3,"DiracSimplify: Leaving with ", res, FCDoControl->dsVerbose]; res ]; @@ -311,7 +332,7 @@ afterwards 6) If the expression contains spinors - 6.1) If needed, apply the Dirac equation + 6.1) If needed, apply Dirac equation 6.2) If needed, apply Sirlin's relations 7) If needed, order the remaining Dirac matrices canonically @@ -363,15 +384,15 @@ If[ optContract=!=False && !DummyIndexFreeQ[tmp,{LorentzIndex,CartesianIndex}], time2=AbsoluteTime[]; - FCPrint[2, "DiracSimplify: diracSimplifyEval: Applying Contract.", FCDoControl->dsVerbose]; - tmp = Contract[tmp, Expanding->True, EpsContract-> False, Factoring->False]; - FCPrint[2, "DiracSimplify: diracSimplifyEval: Contract done, timing: ", N[AbsoluteTime[] - time2, 4] , FCDoControl->dsVerbose]; - FCPrint[3, "DiracSimplify: diracSimplifyEval: After Contract: ", tmp, FCDoControl->dsVerbose]; + FCPrint[2, "DiracSimplify: diracSimplifyEval: Doing index contractions.", FCDoControl->dsVerbose]; + tmp = diracChainContract[tmp]; + FCPrint[2, "DiracSimplify: diracSimplifyEval: Index contractions done, timing: ", N[AbsoluteTime[] - time2, 4] , FCDoControl->dsVerbose]; + FCPrint[3, "DiracSimplify: diracSimplifyEval: After index contractions: ", tmp, FCDoControl->dsVerbose]; time2=AbsoluteTime[]; FCPrint[2, "DiracSimplify: diracSimplifyEval: Applying EpsContract.", FCDoControl->dsVerbose]; If[ optEpsContract, - tmp = EpsContract[tmp,FCI->True] + tmp = EpsContract[tmp,FCI->True]//EpsEvaluate[#,FCI->True]& ]; FCPrint[2, "DiracSimplify: diracSimplifyEval: EpsContract done, timing: ", N[AbsoluteTime[] - time2, 4] , FCDoControl->dsVerbose]; FCPrint[3, "DiracSimplify: diracSimplifyEval: After EpsContract: ", tmp, FCDoControl->dsVerbose]; @@ -389,14 +410,15 @@ (* Doing index contractions *) If[ optContract=!=False && !DummyIndexFreeQ[tmp,{LorentzIndex,CartesianIndex}], time2=AbsoluteTime[]; - FCPrint[2, "DiracSimplify: diracSimplifyEval: Applying Contract.", FCDoControl->dsVerbose]; - tmp = Contract[tmp, EpsContract-> False]; - FCPrint[2, "DiracSimplify: diracSimplifyEval: Contract done, timing: ", N[AbsoluteTime[] - time2, 4] , FCDoControl->dsVerbose]; + FCPrint[2, "DiracSimplify: diracSimplifyEval: Doing index contractions.", FCDoControl->dsVerbose]; + tmp = diracChainContract[tmp]; + FCPrint[2, "DiracSimplify: diracSimplifyEval: Index contractions done, timing: ", N[AbsoluteTime[] - time2, 4] , FCDoControl->dsVerbose]; + FCPrint[3, "DiracSimplify: diracSimplifyEval: After index contractions: ", tmp, FCDoControl->dsVerbose]; time2=AbsoluteTime[]; FCPrint[2, "DiracSimplify: diracSimplifyEval: Applying EpsContract.", FCDoControl->dsVerbose]; If[ optEpsContract, - tmp = EpsContract[tmp,FCI->True] + tmp = EpsContract[tmp,FCI->True]//EpsEvaluate[#,FCI->True]& ]; FCPrint[2, "DiracSimplify: diracSimplifyEval: EpsContract done, timing: ", N[AbsoluteTime[] - time2, 4] , FCDoControl->dsVerbose]; FCPrint[3, "DiracSimplify: diracSimplifyEval: After EpsContract: ", tmp, FCDoControl->dsVerbose]; @@ -416,22 +438,6 @@ tmp = DiracSigmaExplicit[tmp,FCI->True] ]; - (* Canonical ordering of the Dirac matrices. *) - If[ optDiracOrder, - time2=AbsoluteTime[]; - FCPrint[2,"DiracSimplify: diracSimplifyEval: Applying DiracOrder.", FCDoControl->dsVerbose]; - tmp = DiracOrder[tmp, FCI->True, FCJoinDOTs->OptionValue[Expanding]]; - FCPrint[2,"DiracSimplify:diracSimplifyEvale: Done applying DiracOrder, timing: ", N[AbsoluteTime[] - time2, 4], FCDoControl->dsVerbose] - ]; - - - (* Expansion of Dirac slashes *) - (* - If[ optDiracGammaExpand, - FCPrint[1,"DiracSimplify: diracSimplifyEval: Expanding Dirac slashes.", FCDoControl->dsVerbose]; - tmp = DiracGammaExpand[tmp,FCI->True]; - - ];*) (* Substituting the explicit values of the chiral projectors *) @@ -496,5 +502,15 @@ ]/;Head[expr]=!=DiracChain; +diracChainContract[ex_]:= + ex/; FreeQ2[ex,{Pair,CartesianPair,PairContract,CartesianPairContract}]; + +diracChainContract[ex_]:= + ( + Expand2[ex,{Pair,CartesianPair,PairContract,CartesianPairContract}]/. CartesianPair -> CartesianPairContract /. Pair -> PairContract /. + CartesianPairContract -> CartesianPair /. PairContract -> Pair + )/; !FreeQ2[ex, {Pair,CartesianPair,PairContract,CartesianPairContract}]; + + FCPrint[1,"DiracSimplify.m loaded."]; End[] diff --git a/FeynCalc/Dirac/SpinorChainTrick.m b/FeynCalc/Dirac/SpinorChainTrick.m index 9851687e5..4c70e6e7c 100755 --- a/FeynCalc/Dirac/SpinorChainTrick.m +++ b/FeynCalc/Dirac/SpinorChainTrick.m @@ -35,37 +35,49 @@ Options[SpinorChainTrick] = { CartesianIndexNames -> {}, + Collecting -> True, Contract -> True, + DiracChain -> True, DiracEquation -> True, DiracGammaCombine -> False, + DiracOrder -> False, DiracSigmaExplicit -> True, DiracTrick -> True, DotSimplify -> True, FCCanonicalizeDummyIndices -> True, + FCDiracIsolate -> True, FCE -> False, FCI -> False, FCJoinDOTs -> True, FCVerbose -> False, Factoring -> {Factor2, 5000}, - LorentzIndexNames -> {} + LorentzIndexNames -> {}, + PairContract -> True, + SirlinSimplify -> False, + TimeConstrained -> 3 }; SpinorChainTrick[expr_, OptionsPattern[]] := - Block[{ex, tmp, dsHead, dsIso, freePart,dsPart, null1, null2, time, diracObjects, optDiracSigmaExplicit, - optDiracGammaCombine, diracObjectsEval, repRule, res}, + Block[{ex, tmp, dsIso, freePart,dsPart, null1, null2, time, diracObjects, optDiracSigmaExplicit, + optDiracGammaCombine, diracObjectsEval, repRule, res, timeAll, dsHead, + optFCDiracIsolate, optDiracEquation, optDiracOrder, optFCCanonicalizeDummyIndices, + liPrefix,ciPrefix,liNames,ciNames}, + + timeAll=AbsoluteTime[]; + + optDiracSigmaExplicit = OptionValue[DiracSigmaExplicit]; + optDiracGammaCombine = OptionValue[DiracGammaCombine]; + optFCDiracIsolate = OptionValue[FCDiracIsolate]; + optDiracEquation = OptionValue[DiracEquation]; + optDiracOrder = OptionValue[DiracOrder]; + optFCCanonicalizeDummyIndices = OptionValue[FCCanonicalizeDummyIndices]; - optDiracSigmaExplicit = OptionValue[DiracSigmaExplicit]; - optDiracGammaCombine = OptionValue[DiracGammaCombine]; If[ OptionValue[FCI], ex = expr, ex = FCI[expr] ]; - If[ FreeQ[ex,Spinor], - Return[ex] - ]; - If[ OptionValue[FCVerbose]===False, spchtrVerbose=$VeryVerbose, If[MatchQ[OptionValue[FCVerbose], _Integer], @@ -77,87 +89,116 @@ FCPrint[1, "SpinorChainTrick. Entering.", FCDoControl->spchtrVerbose]; FCPrint[3, "SpinorChainTrick: Entering with ", ex, FCDoControl->spchtrVerbose]; - FCPrint[1, "SpinorChainTrick: Isolating spinor chains.", FCDoControl->spchtrVerbose]; - time=AbsoluteTime[]; - tmp = FCDiracIsolate[ex,FCI->True, Head->dsHead, DotSimplify->True, DiracGammaCombine->optDiracGammaCombine, - DiracSigmaExplicit->optDiracSigmaExplicit, LorentzIndex->All, Spinor->Join, DiracGamma->False, FCJoinDOTs-> OptionValue[FCJoinDOTs], - Isolate->True, IsolateNames->dsIso, Factoring -> False, FCTraceExpand->True](* /. dsHead->Identity*); - FCPrint[1, "SpinorChainTrick: Done isolating spinor chains, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; - FCPrint[3, "SpinorChainTrick: After FCDiracIsolate ", tmp, FCDoControl->spchtrVerbose]; - - If[ OptionValue[FCCanonicalizeDummyIndices], - FCPrint[1, "SpinorChainTrick: Canonicalize dummy Lorentz and Cartesian indices.", FCDoControl->spchtrVerbose]; + Switch[optFCDiracIsolate, + True, + (*Normal mode*) time=AbsoluteTime[]; + FCPrint[1, "SpinorChainTrick: Isolating spinor chains.", FCDoControl->spchtrVerbose]; + tmp = FCDiracIsolate[ex,FCI->True,Head->dsHead, DotSimplify->True, DiracGammaCombine->optDiracGammaCombine, + DiracSigmaExplicit->optDiracSigmaExplicit, LorentzIndex->All, CartesianIndex->All, + DiracChain->OptionValue[DiracChain], Split->False]; + diracObjects = Cases[tmp+null1+null2, dsHead[_], Infinity]//Sort//DeleteDuplicates; + diracObjectsEval = diracObjects /. dsHead->Identity; + FCPrint[1, "SpinorChainTrick: Done isolating spinor chains, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; + FCPrint[3, "SpinorChainTrick: After FCDiracIsolate ", diracObjectsEval, FCDoControl->spchtrVerbose], + False, + (*Fast mode, no FCDiracIsolate*) + diracObjects = dsHead[ex]; + diracObjectsEval = ex; + tmp = dsHead[ex], + List, + (* Special mode, the input is already a list of isolated objects and should be returned in the same form *) + diracObjectsEval = ex, + _, + Message[SpinorChainTrick::failmsg,"Unknown value for the FCDiracIsolate option"]; + Abort[] + ]; - tmp = FCCanonicalizeDummyIndices[tmp , FCI->True, Head->{LorentzIndex,CartesianIndex}, DotSimplify->False, - LorentzIndexNames-> OptionValue[LorentzIndexNames], CartesianIndexNames-> OptionValue[CartesianIndexNames]]; - FCPrint[1, "SpinorChainTrick: Done canonicalize dummy Lorentz and Cartesian indices, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; - FCPrint[3, "SpinorChainTrick: After FCCanonicalizeDummyIndices ", tmp, FCDoControl->spchtrVerbose] + If[ OptionValue[Contract], + time=AbsoluteTime[]; + FCPrint[1, "SpinorChainTrick: Doing index contractions.", FCDoControl->spchtrVerbose]; + diracObjectsEval = FeynCalc`Package`diracChainContract/@diracObjectsEval; + FCPrint[1, "SpinorChainTrick: Index contractions done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; + FCPrint[3, "SpinorChainTrick: diracObjectsEval after index contractions: ", diracObjectsEval, FCDoControl->spchtrVerbose]; ]; + If[ !MatchQ[FCGetDimensions[diracObjectsEval],{_}], + time=AbsoluteTime[]; + FCPrint[1, "SpinorChainTrick: Applying spinorChainTrickEval.", FCDoControl->spchtrVerbose]; + diracObjectsEval = Map[(spinorChainTrickEval[# /. DOT->holdDOT]/. spinorChainTrickEval->Identity /. holdDOT->DOT)&, diracObjectsEval]; + FCPrint[1, "SpinorChainTrick: Done applying spinorChainTrickEval, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; + FCPrint[3, "SpinorChainTrick: diracObjectsEval after spinorChainTrickEval: ", diracObjectsEval, FCDoControl->spchtrVerbose]; + ]; - If[ OptionValue[Contract], - FCPrint[1, "SpinorChainTrick: Applying Contract.", FCDoControl->spchtrVerbose]; + (* Dirac equation *) + If[ !FreeQ[diracObjectsEval,Spinor] && optDiracEquation, time=AbsoluteTime[]; - tmp = tmp /. dsHead[x_] :> Contract[x, FCI->True]; - FCPrint[1, "SpinorChainTrick: Contract done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; - FCPrint[3, "SpinorChainTrick: After Contract ", tmp, FCDoControl->spchtrVerbose] + FCPrint[2,"SpinorChainTrick: Applying DiracEquation.", FCDoControl->spchtrVerbose]; + diracObjectsEval = DiracEquation[#, FCI->True]&/@diracObjectsEval; + FCPrint[2,"SpinorChainTrick: DiracEquation done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; + FCPrint[3,"SpinorChainTrick: After DiracEquation: ", diracObjectsEval, FCDoControl->spchtrVerbose]; ]; - tmp = FRH[tmp, IsolateNames->dsIso]; + If [ OptionValue[SirlinSimplify] && FCGetDimensions[diracObjectsEval]==={4}, - FCPrint[1, "SpinorChainTrick: Isolating spinor chains (again).", FCDoControl->spchtrVerbose]; - time=AbsoluteTime[]; - tmp = FCDiracIsolate[tmp,FCI->True,Head->dsHead, DotSimplify->False, DiracGammaCombine->optDiracGammaCombine, FCJoinDOTs-> OptionValue[FCJoinDOTs], - DiracSigmaExplicit->False, LorentzIndex->All, Spinor->Join, DiracGamma->False, Factoring -> OptionValue[Factoring]]; - FCPrint[1, "SpinorChainTrick: Done isolating spinor chains, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; - FCPrint[3, "SpinorChainTrick: After second FCDiracIsolate ", tmp, FCDoControl->spchtrVerbose]; + FCPrint[1, "SpinorChainTrick: Applying SirlinSimplify.", FCDoControl->spchtrVerbose]; + time=AbsoluteTime[]; + diracObjectsEval = SirlinSimplify[#, FCI->True,DiracGammaCombine->optDiracGammaCombine, DiracSigmaExplicit->False, + SpinorChainTrick->False]&/@diracObjectsEval; + FCPrint[1,"SpinorChainTrick: Done applying SirlinSimplify, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; + FCPrint[3, "SpinorChainTrick: After SirlinSimplify: ", diracObjectsEval, FCDoControl->spchtrVerbose] + ]; - diracObjects = Cases[tmp+null1+null2, dsHead[_], Infinity]//Sort//DeleteDuplicates; - FCPrint[3,"SpinorChainTrick: diracObjects: ", diracObjects , FCDoControl->spchtrVerbose]; + (* Canonical ordering of Dirac matrices. *) + If[ optDiracOrder, + time=AbsoluteTime[]; + FCPrint[1,"SpinorChainTrick: Applying DiracOrder.", FCDoControl->spchtrVerbose]; + diracObjectsEval = DiracOrder[#, FCI->True, FCJoinDOTs->False, DiracTrick->Last]&/@diracObjectsEval; + FCPrint[1,"SpinorChainTrick: Done applying DiracOrder, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; + FCPrint[3, "SpinorChainTrick: After DiracOrder: ", diracObjectsEval, FCDoControl->spchtrVerbose] + ]; + If[ optFCCanonicalizeDummyIndices, + time=AbsoluteTime[]; + FCPrint[1,"SpinorChainTrick: Applying FCCanonicalizeDummyIndices.", FCDoControl->spchtrVerbose]; + liPrefix=ToString[Unique["LI"]]; + ciPrefix=ToString[Unique["LI"]]; + liNames=Table[FCGV[liPrefix<>ToString[i]], {i,1,Length[Cases2[diracObjectsEval, LorentzIndex]]}]; + ciNames=Table[FCGV[ciPrefix<>ToString[i]], {i,1,Length[Cases2[diracObjectsEval, CartesianIndex]]}]; + diracObjectsEval = FCCanonicalizeDummyIndices[#, FCI->True, + LorentzIndexNames->Join[OptionValue[LorentzIndexNames],liNames], + CartesianIndexNames->Join[OptionValue[CartesianIndexNames],ciNames], + Head -> {LorentzIndex, CartesianIndex, DiracIndex}, DotSimplify->False]&/@diracObjectsEval; + FCPrint[1,"SpinorChainTrick: Done applying FCCanonicalizeDummyIndices, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose] + ]; - FCPrint[1, "SpinorChainTrick: Simplifying products of spinor chains.", FCDoControl->spchtrVerbose]; - time=AbsoluteTime[]; - diracObjectsEval = Map[(spinorChainTrickEval[#])&, (diracObjects/.dsHead->Identity/. DOT->holdDOT)] /. spinorChainTrickEval -> Identity /. holdDOT->DOT; - FCPrint[1, "SpinorChainTrick: Done simplifying products of spinor chains, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; - FCPrint[3, "SpinorChainTrick: diracObjectsEval: ", diracObjectsEval, FCDoControl->spchtrVerbose]; - If[ OptionValue[DiracEquation], - FCPrint[1, "SpinorChainTrick: Applying Dirac equation to the products of spinor chains.", FCDoControl->spchtrVerbose]; + If[ TrueQ[optFCDiracIsolate===List], + Return[diracObjectsEval], + FCPrint[1, "SpinorChainTrick: Inserting Dirac objects back.", FCDoControl->spchtrVerbose]; time=AbsoluteTime[]; - diracObjectsEval = Map[DiracEquation[#,FCI->True]&, diracObjectsEval]; - FCPrint[1, "SpinorChainTrick: Done applying Dirac equation, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; - FCPrint[3, "SpinorChainTrick: diracObjectsEval: ", diracObjectsEval, FCDoControl->spchtrVerbose]; + repRule = Thread[Rule[diracObjects, diracObjectsEval]]; + FCPrint[3,"SpinorChainTrick: repRule: ",repRule , FCDoControl->spchtrVerbose]; + res = ( tmp/. Dispatch[repRule]); + FCPrint[1, "SpinorChainTrick: Done inserting Dirac objects back, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose] ]; - If[ OptionValue[DiracTrick], - FCPrint[1, "SpinorChainTrick: Applying DiracTrick to the products of spinor chains.", FCDoControl->spchtrVerbose]; + If[ OptionValue[Collecting], time=AbsoluteTime[]; - diracObjectsEval = Map[DiracTrick[#,FCI->True]&, diracObjectsEval]; - FCPrint[1, "SpinorChainTrick: Done applying DiracTrick, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; - FCPrint[3, "SpinorChainTrick: diracObjectsEval: ", diracObjectsEval, FCDoControl->spchtrVerbose]; + FCPrint[1, "SpinorChainTrick: Applying Collect2.", FCDoControl->spchtrVerbose]; + res = Collect2[res, FeynCalc`Package`DiracHeadsList, Factoring->OptionValue[Factoring], TimeConstrained->OptionValue[TimeConstrained] ]; + FCPrint[1, "SpinorChainTrick: Collect2 done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; + FCPrint[3, "SpinorChainTrick: After Collect2: ", res, FCDoControl->spchtrVerbose] ]; - If[ !FreeQ2[diracObjectsEval,{spinorChainTrickEval,holdDOT}], - Message[SpinorChainTrick::failmsg,"Evaluation of isolated objects failed."]; - Abort[] - ]; - - FCPrint[1, "SpinorChainTrick: Inserting Dirac objects back.", FCDoControl->spchtrVerbose]; - time=AbsoluteTime[]; - repRule = Thread[Rule[diracObjects, diracObjectsEval]]; - FCPrint[3,"SpinorChainTrick: repRule: ",repRule , FCDoControl->spchtrVerbose]; - res = ( tmp/. Dispatch[repRule]); - FCPrint[1, "SpinorChainTrick: Done inserting Dirac objects back, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->spchtrVerbose]; - If[ OptionValue[FCE], res = FCE[res] ]; FCPrint[1, "SpinorChainTrick: Leaving.", FCDoControl->spchtrVerbose]; + FCPrint[1, "SpinorChainTrick: Total time:", N[AbsoluteTime[] - timeAll, 4], FCDoControl->spchtrVerbose]; FCPrint[3, "SpinorChainTrick: Leaving with ", res, FCDoControl->spchtrVerbose]; diff --git a/FeynCalc/Feynman/ToStandardMatrixElement.m b/FeynCalc/Feynman/ToStandardMatrixElement.m index 18c323c7c..7f8b1436f 100755 --- a/FeynCalc/Feynman/ToStandardMatrixElement.m +++ b/FeynCalc/Feynman/ToStandardMatrixElement.m @@ -55,7 +55,6 @@ SirlinSimplify -> False, Spinor -> False, SpinorChainChiralSplit -> True, - SpinorChainTrick -> True, TimeConstrained -> 3 } @@ -97,7 +96,7 @@ time=AbsoluteTime[]; FCPrint[1, "ToStandardMatrixElement: Applying DiracSimplify.", FCDoControl->tsmeVerbose]; ex = DiracSimplify[ex, FCI->True, DiracOrder->OptionValue[DiracOrder], DiracSubstitute67->OptionValue[DiracSubstitute67], - DiracSubstitute5->OptionValue[DiracSubstitute5], SpinorChainTrick->OptionValue[SpinorChainTrick], SirlinSimplify->OptionValue[SirlinSimplify], + DiracSubstitute5->OptionValue[DiracSubstitute5], SirlinSimplify->OptionValue[SirlinSimplify], DiracEquation->OptionValue[DiracEquation], LorentzIndexNames-> OptionValue[LorentzIndexNames], CartesianIndexNames-> OptionValue[CartesianIndexNames]]; FCPrint[1, "ToStandardMatrixElement: DiracSimplify done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->tsmeVerbose]; diff --git a/Tests/Dirac/DiracSimplify.test b/Tests/Dirac/DiracSimplify.test index 1c1a4fd43..4d025f750 100644 --- a/Tests/Dirac/DiracSimplify.test +++ b/Tests/Dirac/DiracSimplify.test @@ -78,7 +78,8 @@ Momentum[p1, D], m, 1] + 2 Spinor[Momentum[p3, D], m, 1].GAD[Lor1].Spinor[Moment (16*D*M^4*FAD[{k1, M}, {k1 - p, ma}])/SPD[p, p] - (32*M^2*ma^2*FAD[{k1, M}, {k1 - p, ma}])/SPD[p, p] + (16*D*M^2*ma^2*FAD[{k1, M}, {k1 - p, ma}])/SPD[p, p]"}, -{"fcstDiracSimplify-ID23","DiracSimplify[DiracTrace[GA[a, b, a]] + GA[a, a], DiracTrace -> False, FCE -> True]","4 + DiracTrace[GA[a].GA[b].GA[a]]"}, +{"fcstDiracSimplify-ID23","MatchQ[DiracSimplify[DiracTrace[GA[a, b, a]] + GA[a, a], DiracTrace -> False, FCE -> True], +4 + DiracTrace[GA[a_].GA[b].GA[a_]]]","True"}, {"fcstDiracSimplify-ID24","DiracSimplify[DiracTrace[GA[a, b, a]] + GA[a, b], DiracTraceEvaluate -> True, FCE -> True]","GA[a].GA[b]"}, {"fcstDiracSimplify-ID25","DiracSimplify[DiracTrace[GA[a, b, c, d]] + GA[a, b, c, d], @@ -170,9 +171,9 @@ SPD[p1, Polarization[k1, -I]]"}, {"fcstDiracSimplify-ID38","DiracSimplify[DiracTrace[GAD[al, be].GA[5].GAD[mu, nu]] DiracTrace[ GAD[al, be, mu, nu]]]","0"}, {"fcstDiracSimplify-ID39","DiracSimplify[ -Spinor[-Momentum[p1, D], mb, 1].GAD[mu].GAD[nu].GA[7].Spinor[ +Spinor[-Momentum[p1, D], mb, 1].GAD[mu1].GAD[nu1].GA[7].Spinor[ Momentum[p3, D], ms, 1] Spinor[Momentum[p1, D], mb, 1].GAD[ - nu].GAD[mu].GA[7].Spinor[-Momentum[p2, D], ms, 1], + nu1].GAD[mu1].GA[7].Spinor[-Momentum[p2, D], ms, 1], DiracOrder -> True] // FCCanonicalizeDummyIndices[#, LorentzIndexNames -> {mu, nu}, FCE -> True] &","2 D Spinor[-Momentum[p1, D], mb, 1].GA[7].Spinor[Momentum[p3, D], ms, @@ -214,7 +215,14 @@ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ 0, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[i5].GA[7].Spinor[ Momentum[p2, D], 0, 1]"}, {"fcstDiracSimplify-ID43","DiracSimplify[a GS[p.p] + b GS[q.p.q] == c GS[p], FCE -> True]", -"a SP[p, p] + 2 b GS[q] SP[p, q] - b GS[p] SP[q, q] == c GS[p]"} +"a SP[p, p] + 2 b GS[q] SP[p, q] - b GS[p] SP[q, q] == c GS[p]"}, +{"fcstDiracSimplify-ID44","DiracSimplify[ +1/s^2 e^4 DiracTrace[(mmu + GS[k1]).GA[7].GA[Lor1].GA[ + 6].(-mmu + GS[k2]).GA[7].DiracGamma[LorentzIndex[$AL[$123]]].GA[ + 6]] DiracTrace[(me + GS[p1]).GA[7].DiracGamma[ + LorentzIndex[$AL[$123]]].GA[6].(me + GS[p2]).GA[7].GA[Lor1].GA[ + 6]], FCE -> True]", +"(16 e^4 SP[k1, p2] SP[k2, p1])/s^2"} }; @@ -222,52 +230,52 @@ Tests`Dirac`fcstDiracSimplifySirlin = ({ {"fcstDiracSimplifySirlin-ID1", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,nu,6].SpinorU[p1,\ -m1]SpinorUBar[p4,m4].GA[mu,tau,nu,6].SpinorU[p2,m2],FCE\[Rule]True],\ +m1]SpinorUBar[p4,m4].GA[mu,tau,nu,6].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True],\ \[IndentingNewLine]4 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[6].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[6].Spinor[Momentum[p2],m2,1] \ MT[rho,tau]]", "True"}, {"fcstDiracSimplifySirlin-ID2", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,nu,7].SpinorU[p1,\ -m1]SpinorUBar[p4,m4].GA[mu,tau,nu,7].SpinorU[p2,m2],FCE\[Rule]True],\ +m1]SpinorUBar[p4,m4].GA[mu,tau,nu,7].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True],\ \[IndentingNewLine]4 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[7].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[7].Spinor[Momentum[p2],m2,1] \ MT[rho,tau]]", "True"}, {"fcstDiracSimplifySirlin-ID3", "DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,nu,6].SpinorU[p1,m1]\ -SpinorUBar[p4,m4].GA[mu,tau,nu,7].SpinorU[p2,m2],FCE\[Rule]True]", +SpinorUBar[p4,m4].GA[mu,tau,nu,7].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True]", "4*Spinor[Momentum[p3], m3, 1] . GA[tau] . GA[6] . \ Spinor[Momentum[p1], m1, 1]*Spinor[Momentum[p4], m4, 1] . GA[rho] . \ GA[7] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracSimplifySirlin-ID4", "DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,nu,7].SpinorU[p1,m1]\ -SpinorUBar[p4,m4].GA[mu,tau,nu,6].SpinorU[p2,m2],FCE\[Rule]True]", +SpinorUBar[p4,m4].GA[mu,tau,nu,6].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True]", "4*Spinor[Momentum[p3], m3, 1] . GA[tau] . GA[7] . \ Spinor[Momentum[p1], m1, 1]*Spinor[Momentum[p4], m4, 1] . GA[rho] . \ GA[6] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracSimplifySirlin-ID5", "DiracSimplify[SpinorUBar[p3,m3].GA[nu,rho,mu,7].SpinorU[p1,m1]\ -SpinorUBar[p4,m4].GA[mu,tau,nu,7].SpinorU[p2,m2],FCE\[Rule]True]", +SpinorUBar[p4,m4].GA[mu,tau,nu,7].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True]", "4*Spinor[Momentum[p3], m3, 1] . GA[tau] . GA[7] . \ Spinor[Momentum[p1], m1, 1]*Spinor[Momentum[p4], m4, 1] . GA[rho] . \ GA[7] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracSimplifySirlin-ID6", "DiracSimplify[SpinorUBar[p3,m3].GA[nu,rho,mu,6].SpinorU[p1,m1]\ -SpinorUBar[p4,m4].GA[mu,tau,nu,6].SpinorU[p2,m2],FCE\[Rule]True]", +SpinorUBar[p4,m4].GA[mu,tau,nu,6].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True]", "4*Spinor[Momentum[p3], m3, 1] . GA[tau] . GA[6] . \ Spinor[Momentum[p1], m1, 1]*Spinor[Momentum[p4], m4, 1] . GA[rho] . \ GA[6] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracSimplifySirlin-ID7", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[nu,rho,mu,6].SpinorU[p1,\ -m1]SpinorUBar[p2,m2].GA[mu,tau,nu,7].SpinorU[p4,m4],FCE\[Rule]True],\ +m1]SpinorUBar[p2,m2].GA[mu,tau,nu,7].SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\ \[IndentingNewLine]4 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[6].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p2],m2,1].GA[a_].GA[7].Spinor[Momentum[p4],m4,1] \ MT[rho,tau]]", "True"}, {"fcstDiracSimplifySirlin-ID8", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[nu,rho,mu,7].SpinorU[p1,\ -m1]SpinorUBar[p2,m2].GA[mu,tau,nu,6].SpinorU[p4,m4],FCE\[Rule]True],\ +m1]SpinorUBar[p2,m2].GA[mu,tau,nu,6].SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\ \[IndentingNewLine]4 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[7].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p2],m2,1].GA[a_].GA[6].Spinor[Momentum[p4],m4,1] \ @@ -275,7 +283,7 @@ MT[rho,tau]]", "True"}, {"fcstDiracSimplifySirlin-ID9", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].nc1.GA[mu,rho,nu].nc2.\ SpinorU[p1,m1]SpinorUBar[p4,m4].nc3.GA[mu,tau,nu].nc4.SpinorU[p4,m4],\ -FCE\[Rule]True],\[IndentingNewLine]2 \ +FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]2 \ Spinor[Momentum[p3],m3,1].nc1.GA[tau].nc2.Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].nc3.GA[rho].nc4.Spinor[Momentum[p4],m4,1]-2 \ Spinor[Momentum[p3],m3,1].nc1.GA[tau].nc2.GA[5].Spinor[Momentum[p1],\ @@ -290,7 +298,7 @@ m4,1] MT[rho,tau]]", "True"}, {"fcstDiracSimplifySirlin-ID10", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].nc1.GA[nu,rho,mu].nc2.\ SpinorU[p1,m1]SpinorUBar[p4,m4].nc3.GA[mu,tau,nu].nc4.SpinorU[p4,m4],\ -FCE\[Rule]True],\[IndentingNewLine]2 \ +FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]2 \ Spinor[Momentum[p3],m3,1].nc1.GA[tau].nc2.Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].nc3.GA[rho].nc4.Spinor[Momentum[p4],m4,1]+2 \ Spinor[Momentum[p3],m3,1].nc1.GA[tau].nc2.GA[5].Spinor[Momentum[p1],\ @@ -304,27 +312,27 @@ Spinor[Momentum[p3],m3,1].nc1.GA[a_].nc2.GA[5].Spinor[Momentum[p1],m1,\ m4,1] MT[rho,tau]]", "True"}, {"fcstDiracSimplifySirlin-ID11", "DiracSimplify[SpinorUBar[p3,m3].GA[mu,nu,6].SpinorU[p1,m1]\ -SpinorUBar[p4,m4].GA[mu,nu,7].SpinorU[p2,m2],FCE\[Rule]True]", +SpinorUBar[p4,m4].GA[mu,nu,7].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True]", "4*Spinor[Momentum[p3], m3, 1] . GA[6] . Spinor[Momentum[p1], m1, \ 1]*Spinor[Momentum[p4], m4, 1] . GA[7] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracSimplifySirlin-ID12", "DiracSimplify[SpinorUBar[p3,m3].GA[mu,nu,7].SpinorU[p1,m1]\ -SpinorUBar[p4,m4].GA[mu,nu,6].SpinorU[p2,m2],FCE\[Rule]True]", +SpinorUBar[p4,m4].GA[mu,nu,6].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True]", "4*Spinor[Momentum[p3], m3, 1] . GA[7] . Spinor[Momentum[p1], m1, \ 1]*Spinor[Momentum[p4], m4, 1] . GA[6] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracSimplifySirlin-ID13", "DiracSimplify[SpinorUBar[p3,m3].GA[mu,nu,6].SpinorU[p1,m1]\ -SpinorUBar[p4,m4].GA[nu,mu,7].SpinorU[p2,m2],FCE\[Rule]True]", +SpinorUBar[p4,m4].GA[nu,mu,7].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True]", "4*Spinor[Momentum[p3], m3, 1] . GA[6] . Spinor[Momentum[p1], m1, \ 1]*Spinor[Momentum[p4], m4, 1] . GA[7] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracSimplifySirlin-ID14", "DiracSimplify[SpinorUBar[p3,m3].GA[mu,nu,7].SpinorU[p1,m1]\ -SpinorUBar[p4,m4].GA[nu,mu,6].SpinorU[p2,m2],FCE\[Rule]True]", +SpinorUBar[p4,m4].GA[nu,mu,6].SpinorU[p2,m2],FCE\[Rule]True,SirlinSimplify->True]", "4*Spinor[Momentum[p3], m3, 1] . GA[7] . Spinor[Momentum[p1], m1, \ 1]*Spinor[Momentum[p4], m4, 1] . GA[6] . Spinor[Momentum[p2], m2, 1]"}, {"fcstDiracSimplifySirlin-ID15", "MatchQ[DiracSimplify[SpinorUBar[p1,m1].GA[mu,nu,6].SpinorU[p2,m2]\ -SpinorUBar[p3,m3].GA[mu,nu,6].SpinorU[p4,m4],FCE\[Rule]True],\ +SpinorUBar[p3,m3].GA[mu,nu,6].SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\ \[IndentingNewLine]-\!\(\*FractionBox[\(1\), \(2\)]\) \ Spinor[Momentum[p1],m1,1].DiracSigma[GA[liS281_],GA[liS282_]].Spinor[\ Momentum[p2],m2,1] \ @@ -339,7 +347,7 @@ Spinor[Momentum[p3],m3,1].DiracSigma[GA[liS283_],GA[liS284_]].Spinor[\ Momentum[p4],m4,1] LC[liS281_,liS282_,liS283_,liS284_]]", "True"}, {"fcstDiracSimplifySirlin-ID16", "MatchQ[DiracSimplify[SpinorUBar[p1,m1].GA[mu,nu,7].SpinorU[p2,m2]\ -SpinorUBar[p3,m3].GA[mu,nu,7].SpinorU[p4,m4],FCE\[Rule]True],\ +SpinorUBar[p3,m3].GA[mu,nu,7].SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\ \[IndentingNewLine]-\!\(\*FractionBox[\(1\), \(2\)]\) \ Spinor[Momentum[p1],m1,1].DiracSigma[GA[liS281_],GA[liS282_]].Spinor[\ Momentum[p2],m2,1] \ @@ -354,7 +362,7 @@ Spinor[Momentum[p3],m3,1].DiracSigma[GA[liS283_],GA[liS284_]].Spinor[\ Momentum[p4],m4,1] LC[liS281_,liS282_,liS283_,liS284_]]", "True"}, {"fcstDiracSimplifySirlin-ID17", "MatchQ[DiracSimplify[SpinorUBar[p1,m1].GA[mu,nu,6].SpinorU[p2,m2]\ -SpinorUBar[p3,m3].GA[nu,mu,6].SpinorU[p4,m4],FCE\[Rule]True],\ +SpinorUBar[p3,m3].GA[nu,mu,6].SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\ \[IndentingNewLine]\!\(\*FractionBox[\(1\), \(2\)]\) \ Spinor[Momentum[p1],m1,1].DiracSigma[GA[liS281_],GA[liS282_]].Spinor[\ Momentum[p2],m2,1] \ @@ -369,7 +377,7 @@ Spinor[Momentum[p3],m3,1].DiracSigma[GA[liS283_],GA[liS284_]].Spinor[\ Momentum[p4],m4,1] LC[liS281_,liS282_,liS283_,liS284_]]", "True"}, {"fcstDiracSimplifySirlin-ID18", "MatchQ[DiracSimplify[SpinorUBar[p1,m1].GA[mu,nu,7].SpinorU[p2,m2]\ -SpinorUBar[p3,m3].GA[nu,mu,7].SpinorU[p4,m4],FCE\[Rule]True],\ +SpinorUBar[p3,m3].GA[nu,mu,7].SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\ \[IndentingNewLine]\!\(\*FractionBox[\(1\), \(2\)]\) \ Spinor[Momentum[p1],m1,1].DiracSigma[GA[liS281_],GA[liS282_]].Spinor[\ Momentum[p2],m2,1] \ @@ -385,21 +393,21 @@ Momentum[p4],m4,1] LC[liS281_,liS282_,liS283_,liS284_]]", "True"}, {"fcstDiracSimplifySirlin-ID19", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,si,tau \ ,nu].GA[6].SpinorU[p1,m1]SpinorUBar[p4,m4].GA[mu,al,si,be,nu].GA[6].\ -SpinorU[p4,m4],FCE\[Rule]True],\[IndentingNewLine]16 \ +SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]16 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[6].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[6].Spinor[Momentum[p4],m4,1] \ MT[al,rho] MT[be,tau]]", "True"}, {"fcstDiracSimplifySirlin-ID20", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,si,tau \ ,nu].GA[7].SpinorU[p1,m1]SpinorUBar[p4,m4].GA[mu,al,si,be,nu].GA[7].\ -SpinorU[p4,m4],FCE\[Rule]True],\[IndentingNewLine]16 \ +SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]16 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[7].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[7].Spinor[Momentum[p4],m4,1] \ MT[al,rho] MT[be,tau]]", "True"}, {"fcstDiracSimplifySirlin-ID21", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,si,tau \ ,nu].GA[6].SpinorU[p1,m1]SpinorUBar[p4,m4].GA[mu,al,si,be,nu].GA[7].\ -SpinorU[p4,m4],FCE\[Rule]True],\[IndentingNewLine]4 \ +SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]4 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[rho].GA[be].GA[6].Spinor[Momentum[\ p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[al].GA[tau].GA[7].Spinor[Momentum[\ @@ -407,7 +415,7 @@ p4],m4,1]]", "True"}, {"fcstDiracSimplifySirlin-ID22", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,si,tau \ ,nu].GA[7].SpinorU[p1,m1]SpinorUBar[p4,m4].GA[mu,al,si,be,nu].GA[6].\ -SpinorU[p4,m4],FCE\[Rule]True],\[IndentingNewLine]4 \ +SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]4 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[rho].GA[be].GA[7].Spinor[Momentum[\ p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[al].GA[tau].GA[6].Spinor[Momentum[\ @@ -415,7 +423,7 @@ p4],m4,1]]", "True"}, {"fcstDiracSimplifySirlin-ID23", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,si,tau \ ,nu].GA[6].SpinorU[p1,m1]SpinorUBar[p4,m4].GA[nu,al,si,be,mu].GA[6].\ -SpinorU[p4,m4],FCE\[Rule]True],\[IndentingNewLine]4 \ +SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]4 \ Spinor[Momentum[p3],m3,1].GA[be].GA[tau].GA[a_].GA[6].Spinor[Momentum[\ p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[al].GA[rho].GA[6].Spinor[Momentum[\ @@ -423,7 +431,7 @@ p4],m4,1]]", "True"}, {"fcstDiracSimplifySirlin-ID24", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,si,tau \ ,nu].GA[7].SpinorU[p1,m1]SpinorUBar[p4,m4].GA[nu,al,si,be,mu].GA[7].\ -SpinorU[p4,m4],FCE\[Rule]True],\[IndentingNewLine]4 \ +SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]4 \ Spinor[Momentum[p3],m3,1].GA[be].GA[tau].GA[a_].GA[7].Spinor[Momentum[\ p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[al].GA[rho].GA[7].Spinor[Momentum[\ @@ -431,14 +439,14 @@ p4],m4,1]]", "True"}, {"fcstDiracSimplifySirlin-ID25", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,si,tau \ ,nu].GA[6].SpinorU[p1,m1]SpinorUBar[p4,m4].GA[nu,al,si,be,mu].GA[7].\ -SpinorU[p4,m4],FCE\[Rule]True],\[IndentingNewLine]16 \ +SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]16 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[6].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[7].Spinor[Momentum[p4],m4,1] \ MT[al,tau] MT[be,rho]]", "True"}, {"fcstDiracSimplifySirlin-ID26", "MatchQ[DiracSimplify[SpinorUBar[p3,m3].GA[mu,rho,si,tau \ ,nu].GA[7].SpinorU[p1,m1]SpinorUBar[p4,m4].GA[nu,al,si,be,mu].GA[6].\ -SpinorU[p4,m4],FCE\[Rule]True],\[IndentingNewLine]16 \ +SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]16 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[7].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[6].Spinor[Momentum[p4],m4,1] \ MT[al,tau] MT[be,rho]]", "True"} diff --git a/Tests/Feynman/ToStandardMatrixElement.test b/Tests/Feynman/ToStandardMatrixElement.test index 159db0696..53fed63e8 100644 --- a/Tests/Feynman/ToStandardMatrixElement.test +++ b/Tests/Feynman/ToStandardMatrixElement.test @@ -373,9 +373,9 @@ Spinor[Momentum[p3, D], ms, 1] . GSD[p2] . GA[7] . Spinor[Momentum[p1, D], mb, 1 SPD[p2, Polarization[p2, I]]]"}, {"fcstToStandardMatrixElement-ID13", "ToStandardMatrixElement[ -Spinor[-Momentum[p1, D], mb, 1].GAD[mu].GAD[nu].GA[7].Spinor[ +Spinor[-Momentum[p1, D], mb, 1].GAD[mu1].GAD[nu1].GA[7].Spinor[ Momentum[p3, D], ms, 1] Spinor[Momentum[p1, D], mb, 1].GAD[ - nu].GAD[mu].GA[7].Spinor[-Momentum[p2, D], ms, 1]] // + nu1].GAD[mu1].GA[7].Spinor[-Momentum[p2, D], ms, 1]] // FCCanonicalizeDummyIndices[#, LorentzIndexNames -> {mu, nu}, FCE -> True] &","2 D StandardMatrixElement[ Spinor[-Momentum[p1, D], mb, 1].GA[7].Spinor[Momentum[p3, D], ms, From d49beefa076949e893544e137e901c107204d9f8 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 28 Feb 2020 20:11:18 +0100 Subject: [PATCH 26/86] Small improvement in DiracChainJoin. --- FeynCalc/Dirac/DiracChainJoin.m | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FeynCalc/Dirac/DiracChainJoin.m b/FeynCalc/Dirac/DiracChainJoin.m index 0df91217a..1d895a54b 100644 --- a/FeynCalc/Dirac/DiracChainJoin.m +++ b/FeynCalc/Dirac/DiracChainJoin.m @@ -50,7 +50,7 @@ FCE -> False, FCI -> False, FCVerbose -> False, - Factoring -> True, + Factoring -> {Factor2, 5000}, TraceOfOne -> 4 }; From 5bdcb9f1d75b3c5bc507eb9e4d1b09ded73290ad Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 28 Feb 2020 21:10:57 +0100 Subject: [PATCH 27/86] Fixed a typo. --- FeynCalc/Examples/QED/OneLoop/El-GaEl.m | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FeynCalc/Examples/QED/OneLoop/El-GaEl.m b/FeynCalc/Examples/QED/OneLoop/El-GaEl.m index ec80f5eeb..89f0530d7 100644 --- a/FeynCalc/Examples/QED/OneLoop/El-GaEl.m +++ b/FeynCalc/Examples/QED/OneLoop/El-GaEl.m @@ -66,7 +66,7 @@ (* ::Text:: *) (*The 1/(2Pi)^D prefactor is implicit. We need to replace e with -e to be compatible*) -(*with the convnention D^mu = d^mu + ie A^mu*) +(*with the convention D^mu = d^mu + ie A^mu*) amp[0] = FCFAConvert[CreateFeynAmp[diags,PreFactor->1], From b412da8ccbdf0c4f4ff00f88aafb1417f2769073 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 27 Feb 2020 10:49:51 +0100 Subject: [PATCH 28/86] Added new option InitialSubstitutions in FCFAConvert. If the user wants to omit some vertices by setting their coupling constants to zero, it is better to do this before Contract and FCFADiracChainJoin using this option. --- FeynCalc/Feynman/FCFAConvert.m | 14 ++++++++++---- FeynCalc/Feynman/FCPrepareFAAmp.m | 4 ++-- 2 files changed, 12 insertions(+), 6 deletions(-) diff --git a/FeynCalc/Feynman/FCFAConvert.m b/FeynCalc/Feynman/FCFAConvert.m index c8ba6e110..90dcde193 100644 --- a/FeynCalc/Feynman/FCFAConvert.m +++ b/FeynCalc/Feynman/FCFAConvert.m @@ -65,6 +65,7 @@ FeynAmpDenominatorCombine -> True, FinalSubstitutions -> {}, IncomingMomenta -> {}, + InitialSubstitutions -> {}, List -> True, LoopMomenta -> {}, LorentzIndexNames -> {}, @@ -138,6 +139,11 @@ diagsConverted = diagsConverted/.repRuleMomenta/.repRuleLorentzIndices/.repRuleSUNIndices/. repRuleSUNFIndices/. repRulePolVectors; + + If[ OptionValue[InitialSubstitutions]=!={}, + diagsConverted = diagsConverted /. OptionValue[InitialSubstitutions] + ]; + If[ OptionValue[ChangeDimension]=!=False, diagsConverted= ChangeDimension[diagsConverted,dim] ]; @@ -150,14 +156,14 @@ diagsConverted = Total[diagsConverted] ]; - If[ OptionValue[FinalSubstitutions]=!={}, - diagsConverted = diagsConverted /. OptionValue[FinalSubstitutions] - ]; - If[ !FreeQ[diagsConverted,DiracIndex] && OptionValue[FCFADiracChainJoin], diagsConverted = FCFADiracChainJoin[diagsConverted,FCI->True] ]; + If[ OptionValue[FinalSubstitutions]=!={}, + diagsConverted = diagsConverted /. OptionValue[FinalSubstitutions] + ]; + Return[diagsConverted] ]; diff --git a/FeynCalc/Feynman/FCPrepareFAAmp.m b/FeynCalc/Feynman/FCPrepareFAAmp.m index 3af65ed8a..1289f09cd 100644 --- a/FeynCalc/Feynman/FCPrepareFAAmp.m +++ b/FeynCalc/Feynman/FCPrepareFAAmp.m @@ -99,6 +99,7 @@ Global`FAScalarProduct[x_,y_] :> Pair[Momentum[x],Momentum[y]], Global`FADiracSlash[x_] :> DiracGamma[Momentum[x]], Global`FADiracSpinor[x_,re__] :> Spinor[Momentum[x], re], + Global`MajoranaSpinor[x_,re__] :> Spinor[Momentum[x], re], FeynArts`FALeviCivita :> Eps, Global`FADiracTrace :> DiracTrace, Global`FAFourVector[x_,y_] :> Pair[Momentum[x],y], @@ -121,8 +122,7 @@ FeynArts`FAPropagatorDenominator[a_,b_,n_Integer] :> Sequence@@Table[PropagatorDenominator[Momentum[a],b],{j,1,n}] })), FeynArts`FAGaugeXi :> GaugeXi, - FeynArts`FANonCommutative :> DOT, - Global`MajoranaSpinor :> Spinor + FeynArts`FANonCommutative :> DOT }]; replist3 = { FeynArts`FermionChain :> DOT, From 4ca646627ef9433918dd2e099983336810b694e5 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 7 Mar 2020 17:11:45 +0100 Subject: [PATCH 29/86] Improved Dirac algebra related functions to handle lists and equalities in a proper way. --- FeynCalc/Dirac/Anti5.m | 10 ++++++++-- FeynCalc/Dirac/Chisholm.m | 8 +++++++- FeynCalc/Dirac/DiracChainCombine.m | 8 +++++++- FeynCalc/Dirac/DiracChainExpand.m | 8 +++++++- FeynCalc/Dirac/DiracChainFactor.m | 8 +++++++- FeynCalc/Dirac/DiracChainJoin.m | 8 +++++++- FeynCalc/Dirac/DiracEquation.m | 20 +++++++++++++------- FeynCalc/Dirac/DiracGammaCombine.m | 8 +++++++- FeynCalc/Dirac/DiracGammaExpand.m | 8 +++++++- FeynCalc/Dirac/DiracOrder.m | 8 +++++++- FeynCalc/Dirac/DiracReduce.m | 5 ++++- FeynCalc/Dirac/DiracSigmaExpand.m | 8 +++++++- FeynCalc/Dirac/DiracSigmaExplicit.m | 8 +++++++- FeynCalc/Dirac/DiracSimplify.m | 2 +- FeynCalc/Dirac/DiracSubstitute5.m | 8 +++++++- FeynCalc/Dirac/DiracSubstitute67.m | 8 +++++++- FeynCalc/Dirac/EpsChisholm.m | 6 +++++- FeynCalc/Dirac/FCChargeConjugateTransposed.m | 8 +++++++- FeynCalc/Dirac/FCDiracIsolate.m | 20 ++++---------------- FeynCalc/Dirac/SirlinSimplify.m | 8 +++++++- FeynCalc/Dirac/SpinorChainChiralSplit.m | 9 ++++++++- FeynCalc/Dirac/SpinorChainTranspose.m | 8 +++++++- FeynCalc/Dirac/SpinorChainTrick.m | 9 +++++++-- FeynCalc/Dirac/ToDiracGamma67.m | 11 +++++++++-- FeynCalc/Dirac/ToDiracSigma.m | 8 +++++++- FeynCalc/Dirac/ToLarin.m | 8 +++++++- Tests/Dirac/Anti5.test | 4 +++- Tests/Dirac/Chisholm.test | 7 ++++++- Tests/Dirac/DiracChainCombine.test | 9 ++++++++- Tests/Dirac/DiracChainExpand.test | 10 +++++++++- Tests/Dirac/DiracChainFactor.test | 8 +++++++- Tests/Dirac/DiracChainJoin.test | 7 ++++++- Tests/Dirac/DiracEquation.test | 7 ++++++- Tests/Dirac/DiracGammaCombine.test | 6 +++++- Tests/Dirac/DiracGammaExpand.test | 5 ++++- Tests/Dirac/DiracOrder.test | 7 ++++++- Tests/Dirac/DiracReduce.test | 13 ++++++++----- Tests/Dirac/DiracSigmaExpand.test | 7 ++++++- Tests/Dirac/DiracSigmaExplicit.test | 7 ++++++- Tests/Dirac/DiracSimplify.test | 4 +++- Tests/Dirac/DiracSubstitute5.test | 6 +++++- Tests/Dirac/DiracSubstitute67.test | 6 +++++- Tests/Dirac/EpsChisholm.test | 8 +++++++- Tests/Dirac/FCChargeConjugateTransposed.test | 6 +++++- Tests/Dirac/FCDiracIsolate.test | 5 ++++- Tests/Dirac/SirlinSimplify.test | 16 +++++++++++++++- Tests/Dirac/SpinorChainChiralSplit.test | 15 ++++++++++++++- Tests/Dirac/SpinorChainTranspose.test | 7 ++++++- Tests/Dirac/SpinorChainTrick.test | 8 +++++++- Tests/Dirac/ToDiracGamma67.test | 6 +++++- Tests/Dirac/ToDiracSigma.test | 6 +++++- 51 files changed, 339 insertions(+), 79 deletions(-) diff --git a/FeynCalc/Dirac/Anti5.m b/FeynCalc/Dirac/Anti5.m index 589622cad..61000ab99 100644 --- a/FeynCalc/Dirac/Anti5.m +++ b/FeynCalc/Dirac/Anti5.m @@ -54,10 +54,16 @@ FCVerbose -> False }; -Anti5[expr_, opts:OptionsPattern[]] := +Anti5[a_ == b_, rest___] := + Anti5[a,rest] == Anti5[b,rest]; + +Anti5[expr_List, rest___]:= + Anti5[#, rest]&/@expr; + +Anti5[expr_/; !MemberQ[{List,Equal},expr], opts:OptionsPattern[]] := Anti5[expr, 1, opts]; -Anti5[expr_, n_/; !OptionQ[n] && MatchQ[n, Infinity | -Infinity | _Integer], OptionsPattern[]] := +Anti5[expr_/; !MemberQ[{List,Equal},expr], n_/; !OptionQ[n] && MatchQ[n, Infinity | -Infinity | _Integer], OptionsPattern[]] := Block[ {new = 0,ex,terms,rest,res, eps, freePart, dsPart, diracObjects, diracObjectsEval, null1, null2, dsHead, time, repRule}, diff --git a/FeynCalc/Dirac/Chisholm.m b/FeynCalc/Dirac/Chisholm.m index 37a518bc4..875edff4d 100755 --- a/FeynCalc/Dirac/Chisholm.m +++ b/FeynCalc/Dirac/Chisholm.m @@ -49,7 +49,13 @@ NonCommutative -> True }; -Chisholm[expr_, OptionsPattern[]] := +Chisholm[a_ == b_, opts:OptionsPattern[]] := + Chisholm[a,opts] == Chisholm[b,opts]; + +Chisholm[expr_List, opts:OptionsPattern[]]:= + Chisholm[#, opts]&/@expr; + +Chisholm[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, tmp, tmpli, tmpli1, tmpli2, terms,rest,res, holdDOT, eps, freePart, dsPart, diracObjects, diracObjectsEval, null1, null2, dsHead, time, repRule, mode, chisholmRule1, chisholmRule2, maxIterations, nonComm, chisholmRuleInsideTrace}, diff --git a/FeynCalc/Dirac/DiracChainCombine.m b/FeynCalc/Dirac/DiracChainCombine.m index be50bbc3e..f5c281726 100644 --- a/FeynCalc/Dirac/DiracChainCombine.m +++ b/FeynCalc/Dirac/DiracChainCombine.m @@ -54,7 +54,13 @@ FCI -> False }; -DiracChainCombine[expr_, OptionsPattern[]] := +DiracChainCombine[a_ == b_, opts:OptionsPattern[]] := + DiracChainCombine[a,opts] == DiracChainCombine[b,opts]; + +DiracChainCombine[expr_List, opts:OptionsPattern[]]:= + DiracChainCombine[#, opts]&/@expr; + +DiracChainCombine[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, res, rules=rulesMain}, optDiracGammaCombine = OptionValue[DiracGammaCombine]; diff --git a/FeynCalc/Dirac/DiracChainExpand.m b/FeynCalc/Dirac/DiracChainExpand.m index d996c8a25..9d6c5a3c9 100644 --- a/FeynCalc/Dirac/DiracChainExpand.m +++ b/FeynCalc/Dirac/DiracChainExpand.m @@ -50,7 +50,13 @@ Momentum -> All }; -DiracChainExpand[expr_, OptionsPattern[]] := +DiracChainExpand[a_ == b_, opts:OptionsPattern[]] := + DiracChainExpand[a,opts] == DiracChainExpand[b,opts]; + +DiracChainExpand[expr_List, opts:OptionsPattern[]]:= + DiracChainExpand[#, opts]&/@expr; + +DiracChainExpand[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, null1, null2, uniqList, solsList, repRule, ruleDelayed, res, rhs}, momList = OptionValue[Momentum]; diff --git a/FeynCalc/Dirac/DiracChainFactor.m b/FeynCalc/Dirac/DiracChainFactor.m index 4d33f819b..478f3d0df 100644 --- a/FeynCalc/Dirac/DiracChainFactor.m +++ b/FeynCalc/Dirac/DiracChainFactor.m @@ -32,7 +32,13 @@ FCE -> False }; -DiracChainFactor[expr_, OptionsPattern[]] := +DiracChainFactor[a_ == b_, opts:OptionsPattern[]] := + DiracChainFactor[a,opts] == DiracChainFactor[b,opts]; + +DiracChainFactor[expr_List, opts:OptionsPattern[]]:= + DiracChainFactor[#, opts]&/@expr; + +DiracChainFactor[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[ {ex, moms,res, diracChains}, If[ OptionValue[FCI], diff --git a/FeynCalc/Dirac/DiracChainJoin.m b/FeynCalc/Dirac/DiracChainJoin.m index 1d895a54b..5529a859d 100644 --- a/FeynCalc/Dirac/DiracChainJoin.m +++ b/FeynCalc/Dirac/DiracChainJoin.m @@ -54,7 +54,13 @@ TraceOfOne -> 4 }; -DiracChainJoin[expr_, OptionsPattern[]] := +DiracChainJoin[a_ == b_, opts:OptionsPattern[]] := + DiracChainJoin[a,opts] == DiracChainJoin[b,opts]; + +DiracChainJoin[expr_List, opts:OptionsPattern[]]:= + DiracChainJoin[#, opts]&/@expr; + +DiracChainJoin[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ ex, tmp, res, diracObjects, diracObjectsEval, null1, null2, dsHead, time, repRule}, diff --git a/FeynCalc/Dirac/DiracEquation.m b/FeynCalc/Dirac/DiracEquation.m index 925fd3ddc..77457e051 100644 --- a/FeynCalc/Dirac/DiracEquation.m +++ b/FeynCalc/Dirac/DiracEquation.m @@ -35,20 +35,26 @@ FCE -> False }; -DiracEquation[ex_, OptionsPattern[]] := - Block[{expr,res}, +DiracEquation[a_ == b_, opts:OptionsPattern[]] := + DiracEquation[a,opts] == DiracEquation[b,opts]; + +DiracEquation[expr_List, opts:OptionsPattern[]]:= + DiracEquation[#, opts]&/@expr; + +DiracEquation[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := + Block[{ex,res}, If[ !OptionValue[FCI], - expr = FCI[ex], - expr = ex + ex = FCI[expr], + ex = expr ]; (* If there are no spinors or no Dirac matrices, then we can't apply the Dirac equation *) - If[ FreeQ2[expr, {Spinor,DiracGamma}], - Return[expr]; + If[ FreeQ2[ex, {Spinor,DiracGamma}], + Return[ex]; ]; - res = DotSimplify[FixedPoint[diraceq,expr,5]/.PairContract->Pair, Expanding->False]; + res = DotSimplify[FixedPoint[diraceq,ex,5]/.PairContract->Pair, Expanding->False]; If[ OptionValue[FCE], res = FCE[res] diff --git a/FeynCalc/Dirac/DiracGammaCombine.m b/FeynCalc/Dirac/DiracGammaCombine.m index a7db427e8..ef8d9e695 100644 --- a/FeynCalc/Dirac/DiracGammaCombine.m +++ b/FeynCalc/Dirac/DiracGammaCombine.m @@ -32,7 +32,13 @@ FCI -> False }; -DiracGammaCombine[expr_, OptionsPattern[]] := +DiracGammaCombine[a_ == b_, opts:OptionsPattern[]] := + DiracGammaCombine[a,opts] == DiracGammaCombine[b,opts]; + +DiracGammaCombine[expr_List, opts:OptionsPattern[]]:= + DiracGammaCombine[#, opts]&/@expr; + +DiracGammaCombine[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ ex, tmp, res, holdDOT, freePart, diracPart, holdPlus, diracList, diracListEval, repRule, null1, null2}, diff --git a/FeynCalc/Dirac/DiracGammaExpand.m b/FeynCalc/Dirac/DiracGammaExpand.m index 12da60a48..11c2be553 100644 --- a/FeynCalc/Dirac/DiracGammaExpand.m +++ b/FeynCalc/Dirac/DiracGammaExpand.m @@ -37,7 +37,13 @@ Momentum -> All }; -DiracGammaExpand[expr_, OptionsPattern[]] := +DiracGammaExpand[a_ == b_, opts:OptionsPattern[]] := + DiracGammaExpand[a,opts] == DiracGammaExpand[b,opts]; + +DiracGammaExpand[expr_List, opts:OptionsPattern[]]:= + DiracGammaExpand[#, opts]&/@expr; + +DiracGammaExpand[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, null1, null2, uniqList, solsList, repRule, momList, ruleDelayed, res}, momList = OptionValue[Momentum]; diff --git a/FeynCalc/Dirac/DiracOrder.m b/FeynCalc/Dirac/DiracOrder.m index dff0799b1..efb10365d 100644 --- a/FeynCalc/Dirac/DiracOrder.m +++ b/FeynCalc/Dirac/DiracOrder.m @@ -51,10 +51,16 @@ MaxIterations -> Infinity }; +DiracOrder[a_ == b_, rest___] := + DiracOrder[a,rest] == DiracOrder[b,rest]; + +DiracOrder[expr_List, rest___]:= + DiracOrder[#, rest]&/@expr; + DiracOrder[expr_, (opts:OptionsPattern[])/;opts=!={}] := DiracOrder[expr, {}, opts]; -DiracOrder[expr_, orderList_List/; (!OptionQ[orderList] || orderList==={}), OptionsPattern[]]:= +DiracOrder[expr_/; !MemberQ[{List,Equal},expr], orderList_List/; (!OptionQ[orderList] || orderList==={}), OptionsPattern[]]:= Block[{ ex,res,dsHead,dsPart,freePart,null1,null2,diracObjects, tmp, maxIterations, diracObjectsEval, repRule,time}, diff --git a/FeynCalc/Dirac/DiracReduce.m b/FeynCalc/Dirac/DiracReduce.m index ab72d2ed3..285004383 100644 --- a/FeynCalc/Dirac/DiracReduce.m +++ b/FeynCalc/Dirac/DiracReduce.m @@ -50,10 +50,13 @@ to the standard basis (S,P,V,A,T) using the Chisholm identity (see Chisholm). \ FinalSubstitutions -> {DiracBasis -> Identity} }; +DiracReduce[a_ == b_, opts:OptionsPattern[]] := + DiracReduce[a,opts] == DiracReduce[b,opts]; + DiracReduce[expr_List, opts:OptionsPattern[]] := Map[DiracReduce[#,opts]&,expr]; -DiracReduce[expr_, OptionsPattern[]] := +DiracReduce[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[ {ex, tmp, spart, null1, null2, res, finsub, factoring,diracSimplify, li1, li2}, finsub = OptionValue[FinalSubstitutions]; diff --git a/FeynCalc/Dirac/DiracSigmaExpand.m b/FeynCalc/Dirac/DiracSigmaExpand.m index 6b8a1558f..e722fa168 100644 --- a/FeynCalc/Dirac/DiracSigmaExpand.m +++ b/FeynCalc/Dirac/DiracSigmaExpand.m @@ -37,7 +37,13 @@ Momentum -> All }; -DiracSigmaExpand[expr_, OptionsPattern[]] := +DiracSigmaExpand[a_ == b_, opts:OptionsPattern[]] := + DiracSigmaExpand[a,opts] == DiracSigmaExpand[b,opts]; + +DiracSigmaExpand[expr_List, opts:OptionsPattern[]]:= + DiracSigmaExpand[#, opts]&/@expr; + +DiracSigmaExpand[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex,null1,null2, uniqList, repRule, momList,rud, uniqListEval,res}, momList = OptionValue[Momentum]; diff --git a/FeynCalc/Dirac/DiracSigmaExplicit.m b/FeynCalc/Dirac/DiracSigmaExplicit.m index c1abe4045..994fb559e 100644 --- a/FeynCalc/Dirac/DiracSigmaExplicit.m +++ b/FeynCalc/Dirac/DiracSigmaExplicit.m @@ -39,7 +39,13 @@ FCVerbose -> False }; -DiracSigmaExplicit[expr_, OptionsPattern[]] := +DiracSigmaExplicit[a_ == b_, opts:OptionsPattern[]] := + DiracSigmaExplicit[a,opts] == DiracSigmaExplicit[b,opts]; + +DiracSigmaExplicit[expr_List, opts:OptionsPattern[]]:= + DiracSigmaExplicit[#, opts]&/@expr; + +DiracSigmaExplicit[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, res, holdDOT, tmp}, If [OptionValue[FCVerbose]===False, diff --git a/FeynCalc/Dirac/DiracSimplify.m b/FeynCalc/Dirac/DiracSimplify.m index c64bcf077..602acf201 100755 --- a/FeynCalc/Dirac/DiracSimplify.m +++ b/FeynCalc/Dirac/DiracSimplify.m @@ -93,7 +93,7 @@ DiracSimplify[expr_List, opts:OptionsPattern[]] := DiracSimplify[#, opts]&/@expr; -DiracSimplify[expr_/;Head[expr]=!=List, OptionsPattern[]] := +DiracSimplify[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex,res, time, null1, null2, holdDOT, freePart=0, dsPart, diracObjects, diracObjectsEval, repRule, tmp, tmpHead, dsHead, dsHeadAll, diracObjectsAll, diracObjectsAllEval, optFCCanonicalizeDummyIndices, timeTotal}, diff --git a/FeynCalc/Dirac/DiracSubstitute5.m b/FeynCalc/Dirac/DiracSubstitute5.m index 94f6fde3c..7d92b1abb 100644 --- a/FeynCalc/Dirac/DiracSubstitute5.m +++ b/FeynCalc/Dirac/DiracSubstitute5.m @@ -37,7 +37,13 @@ FCI -> False }; -DiracSubstitute5[expr_, OptionsPattern[]] := +DiracSubstitute5[a_ == b_, opts:OptionsPattern[]] := + DiracSubstitute5[a,opts] == DiracSubstitute5[b,opts]; + +DiracSubstitute5[expr_List, opts:OptionsPattern[]]:= + DiracSubstitute5[#, opts]&/@expr; + +DiracSubstitute5[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, res, holdDOT}, If[ OptionValue[FCI], diff --git a/FeynCalc/Dirac/DiracSubstitute67.m b/FeynCalc/Dirac/DiracSubstitute67.m index 15469cb3b..2b8ba52ab 100644 --- a/FeynCalc/Dirac/DiracSubstitute67.m +++ b/FeynCalc/Dirac/DiracSubstitute67.m @@ -37,7 +37,13 @@ FCI -> False }; -DiracSubstitute67[expr_, OptionsPattern[]] := +DiracSubstitute67[a_ == b_, opts:OptionsPattern[]] := + DiracSubstitute67[a,opts] == DiracSubstitute67[b,opts]; + +DiracSubstitute67[expr_List, opts:OptionsPattern[]]:= + DiracSubstitute67[#, opts]&/@expr; + +DiracSubstitute67[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, res, holdDOT}, If[ OptionValue[FCI], diff --git a/FeynCalc/Dirac/EpsChisholm.m b/FeynCalc/Dirac/EpsChisholm.m index 8e6075bf3..f52cabd02 100755 --- a/FeynCalc/Dirac/EpsChisholm.m +++ b/FeynCalc/Dirac/EpsChisholm.m @@ -37,9 +37,13 @@ FCVerbose -> False }; +EpsChisholm[a_ == b_, opts:OptionsPattern[]] := + EpsChisholm[a,opts] == EpsChisholm[b,opts]; +EpsChisholm[expr_List, opts:OptionsPattern[]]:= + EpsChisholm[#, opts]&/@expr; -EpsChisholm[expr_, OptionsPattern[]] := +EpsChisholm[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[ {new = 0,ex,terms,rest,res, holdDOT, eps, freePart, dsPart, diracObjects, diracObjectsEval, null1, null2, dsHead, time, repRule}, diff --git a/FeynCalc/Dirac/FCChargeConjugateTransposed.m b/FeynCalc/Dirac/FCChargeConjugateTransposed.m index d17a4cbe5..cc3786f29 100755 --- a/FeynCalc/Dirac/FCChargeConjugateTransposed.m +++ b/FeynCalc/Dirac/FCChargeConjugateTransposed.m @@ -58,11 +58,17 @@ MakeBoxes[FCChargeConjugateTransposed[ex_, OptionsPattern[]], TraditionalForm] := RowBox[{"C", SuperscriptBox[RowBox[{"(", TBox[ex], ")"}], "T"], SuperscriptBox["C", "-1"]}]; +FCChargeConjugateTransposed[a_ == b_, opts:OptionsPattern[]] := + FCChargeConjugateTransposed[a,opts] == FCChargeConjugateTransposed[b,opts]; + +FCChargeConjugateTransposed[expr_List, opts:OptionsPattern[]]:= + FCChargeConjugateTransposed[#, opts]&/@expr; + FCChargeConjugateTransposed[ex_, OptionsPattern[]]:= ex/; NonCommFreeQ[ex] && FCPatternFreeQ[{ex}]; -FCChargeConjugateTransposed[expr_, opts:OptionsPattern[]] := +FCChargeConjugateTransposed[expr_/; !MemberQ[{List,Equal},expr], opts:OptionsPattern[]] := Block[ {ex, time,dsHead,nonDsHead,diracObjects, nonDiracObjects,diracObjectsEval,nonDiracObjectsEval,null1,null2, repRule1,repRule2,res}, diff --git a/FeynCalc/Dirac/FCDiracIsolate.m b/FeynCalc/Dirac/FCDiracIsolate.m index 0951bfefe..ae86d9eca 100755 --- a/FeynCalc/Dirac/FCDiracIsolate.m +++ b/FeynCalc/Dirac/FCDiracIsolate.m @@ -69,10 +69,13 @@ holdDOT[]=1; +FCDiracIsolate[a_ == b_, opts:OptionsPattern[]] := + FCDiracIsolate[a,opts] == FCDiracIsolate[b,opts]; + FCDiracIsolate[expr_List, opts:OptionsPattern[]]:= FCDiracIsolate[#, opts]&/@expr; -FCDiracIsolate[expr_/; Head[expr]=!=List, OptionsPattern[]] := +FCDiracIsolate[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ res, null1, null2, ex,tmp, head, selectionList, time, fcdiVerbose, headsList, headsOrig, optTimeConstrained, optHead, headR, allHeads, allHeadsEval, headNoMatrix, collectList, @@ -227,21 +230,6 @@ ]; -(* - If[ OptionValue[Split], - - allHeadsEval = chainSplit[allHeadsEval,head]; - (* - allHeadsEval = allHeadsEval //. head[a_holdDOT b_]/; !FreeQ[b, holdDOT] :> head[a] head[b]; - - If[ !FreeQ[allHeadsEval,Spinor], - allHeadsEval = allHeadsEval /. { - head[holdDOT[r1___,a_Spinor,b___,c_Spinor, d_Spinor, e___, f_Spinor, r2___]]/;FreeQ[{r1,b,e,r2}, Spinor] :> - head[holdDOT[a,b,c]] head[holdDOT[d,e,f]] head[holdDOT[r1,r2]]} - ];*) - - ];*) - time=AbsoluteTime[]; FCPrint[1, "FCDiracIsolate: Removing unneeded isolations.", FCDoControl->fcdiVerbose]; diff --git a/FeynCalc/Dirac/SirlinSimplify.m b/FeynCalc/Dirac/SirlinSimplify.m index caf374f96..1cf0fc074 100755 --- a/FeynCalc/Dirac/SirlinSimplify.m +++ b/FeynCalc/Dirac/SirlinSimplify.m @@ -56,7 +56,13 @@ using relations derived by Sirlin in Nuclear Physics B192 (1981) 93-99. \ SpinorChainTrick -> True }; -SirlinSimplify[expr_, OptionsPattern[]] := +SirlinSimplify[a_ == b_, opts:OptionsPattern[]] := + SirlinSimplify[a,opts] == SirlinSimplify[b,opts]; + +SirlinSimplify[expr_List, opts:OptionsPattern[]]:= + SirlinSimplify[#, opts]&/@expr; + +SirlinSimplify[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, tmp, res, diracObjects, diracObjectsEval, null1, null2, dsHead, time, repRule, mode, optDiracSigmaExplicit, optDiracGammaCombine, optContract, optFCCanonicalizeDummyIndices }, diff --git a/FeynCalc/Dirac/SpinorChainChiralSplit.m b/FeynCalc/Dirac/SpinorChainChiralSplit.m index 28576f9af..b8db0fac6 100755 --- a/FeynCalc/Dirac/SpinorChainChiralSplit.m +++ b/FeynCalc/Dirac/SpinorChainChiralSplit.m @@ -43,7 +43,14 @@ Head -> Identity }; -SpinorChainChiralSplit[expr_, OptionsPattern[]] := + +SpinorChainChiralSplit[a_ == b_, opts:OptionsPattern[]] := + SpinorChainChiralSplit[a,opts] == SpinorChainChiralSplit[b,opts]; + +SpinorChainChiralSplit[expr_List, opts:OptionsPattern[]]:= + SpinorChainChiralSplit[#, opts]&/@expr; + +SpinorChainChiralSplit[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, tmp, dsHead, dsIso, freePart,dsPart, null1, null2, time, diracObjects, diracObjectsEval, repRule, res, optHead}, optHead = OptionValue[Head]; diff --git a/FeynCalc/Dirac/SpinorChainTranspose.m b/FeynCalc/Dirac/SpinorChainTranspose.m index d7baebd7c..0b9a79428 100755 --- a/FeynCalc/Dirac/SpinorChainTranspose.m +++ b/FeynCalc/Dirac/SpinorChainTranspose.m @@ -54,7 +54,13 @@ TimeConstrained -> 3 }; -SpinorChainTranspose[expr_, OptionsPattern[]] := +SpinorChainTranspose[a_ == b_, opts:OptionsPattern[]] := + SpinorChainTranspose[a,opts] == SpinorChainTranspose[b,opts]; + +SpinorChainTranspose[expr_List, opts:OptionsPattern[]]:= + SpinorChainTranspose[#, opts]&/@expr; + +SpinorChainTranspose[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex, tmp, dsHead, freePart,dsPart, null1, null2, time, diracObjects, diracObjectsEval, repRule, res, optHead, optSelect, chainPatterns}, diff --git a/FeynCalc/Dirac/SpinorChainTrick.m b/FeynCalc/Dirac/SpinorChainTrick.m index 4c70e6e7c..ea51831d4 100755 --- a/FeynCalc/Dirac/SpinorChainTrick.m +++ b/FeynCalc/Dirac/SpinorChainTrick.m @@ -57,6 +57,12 @@ TimeConstrained -> 3 }; +SpinorChainTrick[a_ == b_, opts:OptionsPattern[]] := + SpinorChainTrick[a,opts] == SpinorChainTrick[b,opts]; + +SpinorChainTrick[expr_List, opts:OptionsPattern[]]:= + (SpinorChainTrick[#, opts]&/@expr)/; OptionValue[FCDiracIsolate]=!=List; + SpinorChainTrick[expr_, OptionsPattern[]] := Block[{ex, tmp, dsIso, freePart,dsPart, null1, null2, time, diracObjects, optDiracSigmaExplicit, optDiracGammaCombine, diracObjectsEval, repRule, res, timeAll, dsHead, @@ -72,7 +78,6 @@ optDiracOrder = OptionValue[DiracOrder]; optFCCanonicalizeDummyIndices = OptionValue[FCCanonicalizeDummyIndices]; - If[ OptionValue[FCI], ex = expr, ex = FCI[expr] @@ -205,7 +210,7 @@ res - ]; + ]/; (!MemberQ[{Equal},expr] || (Head[expr]===List && OptionValue[FCDiracIsolate]===List)); (* 4 and D *) spinorChainTrickEval[c_. holdDOT[a1___, DiracGamma[LorentzIndex[arg_]], b1___] holdDOT[a2___, DiracGamma[LorentzIndex[arg_, dim_Symbol], dim_Symbol], b2___]]:= diff --git a/FeynCalc/Dirac/ToDiracGamma67.m b/FeynCalc/Dirac/ToDiracGamma67.m index b404ee0dc..9d408eb7e 100755 --- a/FeynCalc/Dirac/ToDiracGamma67.m +++ b/FeynCalc/Dirac/ToDiracGamma67.m @@ -30,9 +30,16 @@ DotSimplify -> False, FCE -> False, FCI -> False -} +}; -ToDiracGamma67[expr_, OptionsPattern[]] := + +ToDiracGamma67[a_ == b_, opts:OptionsPattern[]] := + ToDiracGamma67[a,opts] == ToDiracGamma67[b,opts]; + +ToDiracGamma67[expr_List, opts:OptionsPattern[]]:= + ToDiracGamma67[#, opts]&/@expr; + +ToDiracGamma67[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[{ex}, If[ OptionValue[FCI], diff --git a/FeynCalc/Dirac/ToDiracSigma.m b/FeynCalc/Dirac/ToDiracSigma.m index e91a2910c..5121bcddd 100755 --- a/FeynCalc/Dirac/ToDiracSigma.m +++ b/FeynCalc/Dirac/ToDiracSigma.m @@ -35,7 +35,13 @@ FCI -> False } -ToDiracSigma[expr_, xx_, yy_, OptionsPattern[]] := +ToDiracSigma[a_ == b_, opts:OptionsPattern[]] := + ToDiracSigma[a,opts] == ToDiracSigma[b,opts]; + +ToDiracSigma[expr_List, opts:OptionsPattern[]]:= + ToDiracSigma[#, opts]&/@expr; + +ToDiracSigma[expr_/; !MemberQ[{List,Equal},expr], xx_, yy_, OptionsPattern[]] := Block[{x, y, ex, holdDOT}, If[ OptionValue[FCI], diff --git a/FeynCalc/Dirac/ToLarin.m b/FeynCalc/Dirac/ToLarin.m index b887051e6..c3258056c 100644 --- a/FeynCalc/Dirac/ToLarin.m +++ b/FeynCalc/Dirac/ToLarin.m @@ -31,7 +31,13 @@ FCI -> False }; -ToLarin[expr_, OptionsPattern[]] := +ToLarin[a_ == b_, opts:OptionsPattern[]] := + ToLarin[a,opts] == ToLarin[b,opts]; + +ToLarin[expr_List, opts:OptionsPattern[]]:= + ToLarin[#, opts]&/@expr; + +ToLarin[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := Block[ {ex,fi1,fi2,fi3,drsi,res, dotHold, dim}, dim = OptionValue[Dimension]; diff --git a/Tests/Dirac/Anti5.test b/Tests/Dirac/Anti5.test index 487276408..67742a55a 100644 --- a/Tests/Dirac/Anti5.test +++ b/Tests/Dirac/Anti5.test @@ -115,7 +115,9 @@ Tests`Dirac`fcstAnti5ToTheRight = { 2 CGAE[i].CGAE[j].CGAE[k].GA[5]))"}, {"fcstAnti5ToTheRight-ID30.4","Anti5[GA[5].CGAE[i], 1] // FCE", "CGAE[i].GA[5]"}, {"fcstAnti5ToTheRight-ID30.5","Anti5[GA[5].CGAE[i, j, k]] // FCE", "CGAE[i].GA[5].CGAE[j].CGAE[k]"}, -{"fcstAnti5ToTheRight-ID30.6","Anti5[GA[5].CGAE[i, j, k], Infinity] // FCE", "CGAE[i].CGAE[j].CGAE[k].GA[5]"} +{"fcstAnti5ToTheRight-ID30.6","Anti5[GA[5].CGAE[i, j, k], Infinity] // FCE", "CGAE[i].CGAE[j].CGAE[k].GA[5]"}, +{"fcstAnti5ToTheRight-ID31","Anti5[{GA[5, mu, nu], GA[6, rho]}, FCE -> True]", "{-GA[mu].GA[5].GA[nu], GA[rho].GA[7]}"}, +{"fcstAnti5ToTheRight-ID32","Anti5[GA[5, mu, nu] == x, FCE -> True]", "-GA[mu].GA[5].GA[nu] == x"} }; diff --git a/Tests/Dirac/Chisholm.test b/Tests/Dirac/Chisholm.test index cec01e097..15c66465d 100644 --- a/Tests/Dirac/Chisholm.test +++ b/Tests/Dirac/Chisholm.test @@ -223,5 +223,10 @@ I DCHN[GA[i].GA[5], a, b] LC[j, k][p, q] - I DCHN[GS[p].GA[5], a, b] LC[i, j, k][q] + I DCHN[GA[mu].GA[5], a, b] FV[q, k] LC[i, j, mu][p] + I DCHN[GA[mu].GA[5], a, b] FV[q, j] LC[i, k, mu][p] + -I DCHN[GA[mu].GA[5], a, b] FV[p, i] LC[j, k, mu][q]"} +I DCHN[GA[mu].GA[5], a, b] FV[p, i] LC[j, k, mu][q]"}, +{"fcstChisholm-ID30", "Chisholm[GA[mu, nu, rho] LC[mu, nu, rho, si] == x, FCE -> True]", +"-6 I GA[si].GA[5] == x"}, +{"fcstChisholm-ID31", "Chisholm[{GA[mu, nu, rho] LC[mu, nu, rho, si], +GA[nu, mu, rho] LC[mu, nu, rho, si]}, FCE -> True]", +"{-6 I GA[si].GA[5], 6 I GA[si].GA[5]}"} }) diff --git a/Tests/Dirac/DiracChainCombine.test b/Tests/Dirac/DiracChainCombine.test index 8b15d3d36..988928ab1 100644 --- a/Tests/Dirac/DiracChainCombine.test +++ b/Tests/Dirac/DiracChainCombine.test @@ -46,5 +46,12 @@ DCHN[2 me SPD[q, q] - 2 GSD[q] SPD[q, q] + "DiracChainCombine[ DCHN[1, i, j] DCHN[1, k, l] + DCHN[1, k, l] DCHN[GA[5], i, j] + DCHN[1, i, j] DCHN[GA[5], k, l] + -DCHN[GA[5], i, j] DCHN[GA[5], k, l], FCE->True]", "DCHN[1 + GA[5], i, j] DCHN[1 + GA[5], k, l]"} +DCHN[GA[5], i, j] DCHN[GA[5], k, l], FCE->True]", "DCHN[1 + GA[5], i, j] DCHN[1 + GA[5], k, l]"}, +{"fcstDiracChainCombine-ID8", +"DiracChainCombine[DCHN[GS[p], i, j] + DCHN[GS[q], i, j] == x, +FCE -> True]", "DCHN[GS[p] + GS[q], i, j] == x"}, +{"fcstDiracChainCombine-ID9", +"DiracChainCombine[{DCHN[GS[p], i, j] + DCHN[GS[q], i, j], +DCHN[GS[p1], i, j] + DCHN[GS[q1], i, j]}, FCE -> True]", +"{DCHN[GS[p] + GS[q], i, j], DCHN[GS[p1] + GS[q1], i, j]}"} }) diff --git a/Tests/Dirac/DiracChainExpand.test b/Tests/Dirac/DiracChainExpand.test index 7afe45a6a..60d5f6211 100644 --- a/Tests/Dirac/DiracChainExpand.test +++ b/Tests/Dirac/DiracChainExpand.test @@ -71,5 +71,13 @@ FCE -> True]", {"fcstDiracChainExpand-ID13", "DiracChainExpand[DCHN[-FVD[p, mu] GA[mu] + m, Dir3, Dir4], FCE -> True, DiracChainFactor -> False]", -"m DCHN[1, Dir3, Dir4] + DCHN[-FVD[p, mu] GA[mu], Dir3, Dir4]"} +"m DCHN[1, Dir3, Dir4] + DCHN[-FVD[p, mu] GA[mu], Dir3, Dir4]"}, +{"fcstDiracChainExpand-ID14", +"DiracChainExpand[DCHN[GS[p] + m, i, j] == x, FCE -> True]", +"m DCHN[1, i, j] + DCHN[GS[p], i, j] == x"}, +{"fcstDiracChainExpand-ID15", +"DiracChainExpand[{DCHN[GS[p] + m, i, j], DCHN[GS[q] + m, i, j]}, +FCE -> True]", +"{m DCHN[1, i, j] + DCHN[GS[p], i, j], +m DCHN[1, i, j] + DCHN[GS[q], i, j]}"} }) diff --git a/Tests/Dirac/DiracChainFactor.test b/Tests/Dirac/DiracChainFactor.test index 097ad919e..cc3bd7ef2 100644 --- a/Tests/Dirac/DiracChainFactor.test +++ b/Tests/Dirac/DiracChainFactor.test @@ -33,5 +33,11 @@ DiracIndex[i], DiracIndex[j]]"}, DiracGamma[LorentzIndex[$AL[$31]]] . DiracGamma[LorentzIndex[mu]], \ DiracIndex[i], DiracIndex[j]]"}, {"fcstDiracChainFactor-ID4", "DiracChainFactor[DCHN[(x.y.z),i,j]]", -"DiracChain[1, DiracIndex[i], DiracIndex[j]]*x . y . z"} +"DiracChain[1, DiracIndex[i], DiracIndex[j]]*x . y . z"}, +{"fcstDiracChainFactor-ID5","DiracChainFactor[DCHN[GA[mu].GA[nu].GA[mu] FV[p, nu], i, j] == x, +FCE -> True]","DCHN[GA[mu].GA[nu].GA[mu], i, j] FV[p, nu] == x"}, +{"fcstDiracChainFactor-ID6","DiracChainFactor[{DCHN[GA[mu].GA[nu].GA[mu] FV[p, nu], i, j], +DCHN[GA[mu].GA[s].GA[mu] FV[p, s], i, j] +}, FCE -> True]","{DCHN[GA[mu].GA[nu].GA[mu], i, j] FV[p, nu], +DCHN[GA[mu].GA[s].GA[mu], i, j] FV[p, s]}"} }); diff --git a/Tests/Dirac/DiracChainJoin.test b/Tests/Dirac/DiracChainJoin.test index 0861d7de1..fe70a578e 100644 --- a/Tests/Dirac/DiracChainJoin.test +++ b/Tests/Dirac/DiracChainJoin.test @@ -111,5 +111,10 @@ Spinor[Momentum[OutMom1], me, 1], Dir1]"}, "DiracChainJoin[ DCHN[GA[nu], h, i] DCHN[GS[p] + m, i, j] DCHN[GA[mu], j, k], FCDiracIsolate -> False, FCE -> True]", -"DCHN[GA[nu].(m + GS[p]).GA[mu], h, k]"} +"DCHN[GA[nu].(m + GS[p]).GA[mu], h, k]"}, +{"fcstDiracChainJoin-ID24","DiracChainJoin[DCHN[Spinor[p1, m], j] DCHN[GA[mu], i, j] == x, +FCE -> True]","DCHN[Spinor[p1, m, 1], j] DCHN[GA[mu], i, j] == x"}, +{"fcstDiracChainJoin-ID25","DiracChainJoin[{DCHN[Spinor[p1, m], j] DCHN[GA[mu], i, j], +DCHN[Spinor[p1, m], j] DCHN[GS[p], i, j]}, FCE -> True]","{DCHN[Spinor[p1, m, 1], j] DCHN[GA[mu], i, j], +DCHN[Spinor[p1, m, 1], j] DCHN[GS[p], i, j]}"} }); diff --git a/Tests/Dirac/DiracEquation.test b/Tests/Dirac/DiracEquation.test index 87555650c..0e715b0b0 100644 --- a/Tests/Dirac/DiracEquation.test +++ b/Tests/Dirac/DiracEquation.test @@ -267,5 +267,10 @@ Spinor[Momentum[p1, D], m1, 1].GAD[mu].GA[7].Spinor[Momentum[p2, D], Momentum[p2, D], m2, 1] + m1 Spinor[-Momentum[p1, D], m1, 1].GAD[mu].GA[ 7].Spinor[-Momentum[p3, D], m2, 1] Spinor[Momentum[p1, D], m1, - 1].GAD[mu].GA[7].Spinor[Momentum[p2, D], m2, 1]"} + 1].GAD[mu].GA[7].Spinor[Momentum[p2, D], m2, 1]"}, +{"fcstDiracEquation-ID59","DiracEquation[GS[p].SpinorU[p, m] == x, FCE -> True]", +"m Spinor[Momentum[p], m, 1] == x"}, +{"fcstDiracEquation-ID60","DiracEquation[{GS[p].SpinorU[p, m], +GS[p].SpinorV[p, m]}, FCE -> True]", +"{m Spinor[Momentum[p], m, 1], -m Spinor[-Momentum[p], m, 1]}"} } diff --git a/Tests/Dirac/DiracGammaCombine.test b/Tests/Dirac/DiracGammaCombine.test index aaeee7087..a78f2b9cb 100644 --- a/Tests/Dirac/DiracGammaCombine.test +++ b/Tests/Dirac/DiracGammaCombine.test @@ -43,5 +43,9 @@ Tests`Dirac`fcstDiracGammaCombine = FCE -> True]", "CGA[i].(m + CGS[2 p + 3 q]).CGA[j]"}, {"fcstDiracGammaCombine-ID12", "DiracGammaCombine[CGA[i].(2 CGS[p] + 3 CGS[p] + m).CGA[j], -FCE -> True]", "CGA[i].(m + 5 CGS[p]).CGA[j]"} +FCE -> True]", "CGA[i].(m + 5 CGS[p]).CGA[j]"}, +{"fcstDiracGammaCombine-ID13", "DiracGammaCombine[GS[p] + GS[q] == x, FCE -> True]", +"GS[p + q] == x"}, +{"fcstDiracGammaCombine-ID14", "DiracGammaCombine[{GS[p] + GS[q], GS[r] + GS[s]}, FCE -> True]", +"{GS[p + q], GS[r + s]}"} }); diff --git a/Tests/Dirac/DiracGammaExpand.test b/Tests/Dirac/DiracGammaExpand.test index 5c5c429ab..962539703 100644 --- a/Tests/Dirac/DiracGammaExpand.test +++ b/Tests/Dirac/DiracGammaExpand.test @@ -44,5 +44,8 @@ DiracGamma[ "5 CGSD[a] + c (CGSD[b] + CGSD[d]) + CGSD[e]"}, {"fcstDiracGammaExpand-ID13","DiracGammaExpand[DiracSigma[x GSD[p + q], 3 GSD[r + s]], FCE -> True]", "3 x (DiracSigma[GSD[p], GSD[r]] + DiracSigma[GSD[p], GSD[s]] + -DiracSigma[GSD[q], GSD[r]] + DiracSigma[GSD[q], GSD[s]])"} +DiracSigma[GSD[q], GSD[r]] + DiracSigma[GSD[q], GSD[s]])"}, +{"fcstDiracGammaExpand-ID14","DiracGammaExpand[GS[q].GS[p - q] == x, FCE -> True]","GS[q].(GS[p] - GS[q]) == x"}, +{"fcstDiracGammaExpand-ID15","DiracGammaExpand[{GS[q].GS[p - q], GS[q1].GS[p - q2]}, FCE -> True]", +"{GS[q].(GS[p] - GS[q]), GS[q1].(GS[p] - GS[q2])}"} }; diff --git a/Tests/Dirac/DiracOrder.test b/Tests/Dirac/DiracOrder.test index a56c50184..299916103 100644 --- a/Tests/Dirac/DiracOrder.test +++ b/Tests/Dirac/DiracOrder.test @@ -465,7 +465,12 @@ ms (2 Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], ms, 1] SPD[p4, q] + 2 Spinor[-Momentum[p1, D], mb, 1].GA[7].Spinor[-Momentum[p3, D], ms, 1] Spinor[Momentum[p4, D], mb, 1].GA[7].Spinor[Momentum[p2, D], - ms, 1] SPD[q, q]"} + ms, 1] SPD[q, q]"}, +{"fcstDiracOrder-ID59", "DiracOrder[GA[nu, mu, al] == x, FCE -> True]", +"-GA[al].GA[mu].GA[nu] + 2 GA[nu] MT[al, mu] - 2 GA[mu] MT[al, nu] + 2 GA[al] MT[mu, nu] == x"}, +{"fcstDiracOrder-ID60", "DiracOrder[{GA[nu, mu, al], GA[nu, rho, al]}, FCE -> True]", +"{-GA[al].GA[mu].GA[nu] + 2 GA[nu] MT[al, mu] - 2 GA[mu] MT[al, nu] + +2 GA[al] MT[mu, nu], GA[al].GA[nu].GA[rho] - 2 GA[rho] MT[al, nu] + 2 GA[nu] MT[al, rho]}"} }); diff --git a/Tests/Dirac/DiracReduce.test b/Tests/Dirac/DiracReduce.test index 65e342268..5c63b1090 100644 --- a/Tests/Dirac/DiracReduce.test +++ b/Tests/Dirac/DiracReduce.test @@ -212,7 +212,7 @@ QMass SP[p1, {L, I}] SP[Polarization[kg, -I], Polarization[kp, -I]] - QMass SP[p2, {L, I}] SP[Polarization[kg, -I], Polarization[kp, -I]] + GS[{L, I}] (SP[kg, Polarization[kp, -I]] SP[kp, - Polarization[kg, -I]] - + Polarization[kg, -I]] - SP[kg, Polarization[kg, -I]] SP[kp, Polarization[kp, -I]] - SP[kp, Polarization[kp, -I]] SP[p1, Polarization[kg, -I]] + SP[kp, Polarization[kg, -I]] SP[p1, Polarization[kp, -I]] + @@ -226,17 +226,17 @@ GS[{L, I}] (SP[kg, Polarization[kp, -I]] SP[kp, SP[kp, p1] SP[Polarization[kg, -I], Polarization[kp, -I]] - SP[p1, p2] SP[Polarization[kg, -I], Polarization[kp, -I]]) + GS[kp] (-SP[kg, Polarization[kp, -I]] SP[{L, I}, - Polarization[kg, -I]] - + Polarization[kg, -I]] - SP[p1, Polarization[kp, -I]] SP[{L, I}, Polarization[kg, -I]] + SP[kg, {L, I}] SP[Polarization[kg, -I], Polarization[kp, -I]] + SP[p1, {L, I}] SP[Polarization[kg, -I], Polarization[kp, -I]]) + GS[p2] (-SP[kg, Polarization[kp, -I]] SP[{L, I}, - Polarization[kg, -I]] - + Polarization[kg, -I]] - SP[p1, Polarization[kp, -I]] SP[{L, I}, Polarization[kg, -I]] + SP[kg, {L, I}] SP[Polarization[kg, -I], Polarization[kp, -I]] + SP[p1, {L, I}] SP[Polarization[kg, -I], Polarization[kp, -I]]) + GS[kg + p1] (SP[kp, Polarization[kp, -I]] SP[{L, I}, - Polarization[kg, -I]] + + Polarization[kg, -I]] + SP[p2, Polarization[kp, -I]] SP[{L, I}, Polarization[kg, -I]] - SP[kp, Polarization[kg, -I]] SP[{L, I}, Polarization[kp, -I]] - SP[p2, Polarization[kg, -I]] SP[{L, I}, Polarization[kp, -I]] + @@ -292,5 +292,8 @@ Polarization[kp, -I]]"}, FCCanonicalizeDummyIndices[#, LorentzIndexNames -> {mu}, FCE -> True] &","I DCHN[GA[mu].GA[5], a, b] LC[i, j, k, mu] + DCHN[GA[k], a, b] MT[i, j] - DCHN[GA[j], a, b] MT[i, k] + -DCHN[GA[i], a, b] MT[j, k]"} +DCHN[GA[i], a, b] MT[j, k]"}, +{"fcstDiracReduce-ID15","DiracReduce[GS[p1, p2] == x, FCE -> True]","-I DiracSigma[GS[p1], GS[p2]] + SP[p1, p2] == x"}, +{"fcstDiracReduce-ID16","DiracReduce[{GS[p1, p2], GS[q1, q2]}, FCE -> True]","{-I DiracSigma[GS[p1], GS[p2]] + +SP[p1, p2], -I DiracSigma[GS[q1], GS[q2]] + SP[q1, q2]}"} } diff --git a/Tests/Dirac/DiracSigmaExpand.test b/Tests/Dirac/DiracSigmaExpand.test index 68c7041a7..ad37c233b 100644 --- a/Tests/Dirac/DiracSigmaExpand.test +++ b/Tests/Dirac/DiracSigmaExpand.test @@ -51,5 +51,10 @@ GSD[p+q],3GSD[r+s]],DiracGammaExpand\[Rule]True,FCE\[Rule]True]", DiracSigma[GSD[q], GSD[r]] + DiracSigma[GSD[q], GSD[s]])"}, {"fcstDiracSigmaExpand-ID10", "DiracSigmaExpand[DiracSigma[GSD[p]+GSD[q],GAD[mu]],FCE\[Rule]True]\ -", "-DiracSigma[GAD[mu], GSD[p]] - DiracSigma[GAD[mu], GSD[q]]"} +", "-DiracSigma[GAD[mu], GSD[p]] - DiracSigma[GAD[mu], GSD[q]]"}, +{"fcstDiracSigmaExpand-ID11", "DiracSigmaExpand[DiracSigma[GSD[p] + GSD[q], GSD[r + x]] == x, +FCE -> True]", "DiracSigma[GSD[p], GSD[r + x]] + DiracSigma[GSD[q], GSD[r + x]] == x"}, +{"fcstDiracSigmaExpand-ID12", "DiracSigmaExpand[{DiracSigma[GSD[p] + GSD[q], GSD[r + x]], +DiracSigma[GSD[a] + GSD[b], GSD[r + x]]}, FCE -> True]", "{DiracSigma[GSD[p], GSD[r + x]] + DiracSigma[GSD[q], GSD[r + x]], +DiracSigma[GSD[a], GSD[r + x]] + DiracSigma[GSD[b], GSD[r + x]]}"} }); diff --git a/Tests/Dirac/DiracSigmaExplicit.test b/Tests/Dirac/DiracSigmaExplicit.test index bd648444b..f62e59302 100644 --- a/Tests/Dirac/DiracSigmaExplicit.test +++ b/Tests/Dirac/DiracSigmaExplicit.test @@ -57,5 +57,10 @@ GA[i])) . GS[q]"}, "I*(CGA[i] . CGA[j] + KD[i, j])"}, {"fcstDiracSigma-ID12", "DiracSigmaExplicit[DiracSigma[CGAD[i],CGAD[j]],FCE\[Rule]True]", -"I*(CGAD[i] . CGAD[j] + KDD[i, j])"} +"I*(CGAD[i] . CGAD[j] + KDD[i, j])"}, +{"fcstDiracSigmaExplicit-ID13", "DiracSigmaExplicit[DiracSigma[GA[i], GA[j]] == x, FCE -> True]","1/2 I (GA[i].GA[j] - GA[j].GA[i]) == x"}, +{"fcstDiracSigmaExplicit-ID14", "DiracSigmaExplicit[{DiracSigma[GA[i], GA[j]] == x, +DiracSigma[GS[p], GA[j]] == x +}, FCE -> True]","{1/2 I (GA[i].GA[j] - GA[j].GA[i]) == +x, -(1/2) I (GA[j].GS[p] - GS[p].GA[j]) == x}"} }); diff --git a/Tests/Dirac/DiracSimplify.test b/Tests/Dirac/DiracSimplify.test index 4d025f750..f3da4c0ed 100644 --- a/Tests/Dirac/DiracSimplify.test +++ b/Tests/Dirac/DiracSimplify.test @@ -222,7 +222,9 @@ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ 6]] DiracTrace[(me + GS[p1]).GA[7].DiracGamma[ LorentzIndex[$AL[$123]]].GA[6].(me + GS[p2]).GA[7].GA[Lor1].GA[ 6]], FCE -> True]", -"(16 e^4 SP[k1, p2] SP[k2, p1])/s^2"} +"(16 e^4 SP[k1, p2] SP[k2, p1])/s^2"}, +{"fcstDiracSimplify-ID45","DiracSimplify[{GS[p, p].GA[mu], GS[p].GA[mu].GS[p]}, FCE -> True]", +"{GA[mu] SP[p, p], 2 FV[p, mu] GS[p] - GA[mu] SP[p, p]}"} }; diff --git a/Tests/Dirac/DiracSubstitute5.test b/Tests/Dirac/DiracSubstitute5.test index fa6a27e68..5c1b9a1d1 100644 --- a/Tests/Dirac/DiracSubstitute5.test +++ b/Tests/Dirac/DiracSubstitute5.test @@ -27,5 +27,9 @@ Tests`Dirac`fcstDiracSubstitute5 = //DotSimplify//FCE", "Spinor[Momentum[p1], m1, 1] . GSD[p] . GA[6] . \ Spinor[-Momentum[p2], m2, 1] - Spinor[Momentum[p1], m1, 1] . GSD[p] . \ -GA[7] . Spinor[-Momentum[p2], m2, 1]"} +GA[7] . Spinor[-Momentum[p2], m2, 1]"}, +{"fcstDiracSubstitute5-ID4", "DiracSubstitute5[GA[5, mu] == x, FCE -> True]", +"(GA[6] - GA[7]).GA[mu] == x"}, +{"fcstDiracSubstitute5-ID5", "DiracSubstitute5[{GA[5, mu], GA[5, nu]}, FCE -> True]", +"{(GA[6] - GA[7]).GA[mu], (GA[6] - GA[7]).GA[nu]}"} }); diff --git a/Tests/Dirac/DiracSubstitute67.test b/Tests/Dirac/DiracSubstitute67.test index d1963b6d5..d4198d2b2 100644 --- a/Tests/Dirac/DiracSubstitute67.test +++ b/Tests/Dirac/DiracSubstitute67.test @@ -26,5 +26,9 @@ Tests`Dirac`fcstDiracSubstitute67 = "GA[mu] . (1/2 + GA[5]/2) . GA[nu]"}, {"fcstDiracSubstitute67-ID4", "DiracSubstitute67[GA[mu,7,nu],FCE\[Rule]True]", -"GA[mu] . (1/2 - GA[5]/2) . GA[nu]"} +"GA[mu] . (1/2 - GA[5]/2) . GA[nu]"}, +{"fcstDiracSubstitute67-ID5","DiracSubstitute67[GA[6, mu] == x, FCE -> True]", +"(1/2 + GA[5]/2).GA[mu] == x"}, +{"fcstDiracSubstitute67-ID6","DiracSubstitute67[{GA[6, mu], GA[7, nu]}, FCE -> True]", +"{(1/2 + GA[5]/2).GA[mu], (1/2 - GA[5]/2).GA[nu]}"} }); diff --git a/Tests/Dirac/EpsChisholm.test b/Tests/Dirac/EpsChisholm.test index 063b76918..e772d22e9 100644 --- a/Tests/Dirac/EpsChisholm.test +++ b/Tests/Dirac/EpsChisholm.test @@ -127,5 +127,11 @@ I CGA[a].CGA[k].GA[5] KD[b, c]"}, "-I DCHN[GA[j1].GA[j2].GA[j3].GA[mu].GA[5], a, b] + I DCHN[GA[j3].GA[mu].GA[5], a, b] MT[j1, j2] - I DCHN[GA[j2].GA[mu].GA[5], a, b] MT[j1, j3] + -I DCHN[GA[j1].GA[mu].GA[5], a, b] MT[j2, j3]"} +I DCHN[GA[j1].GA[mu].GA[5], a, b] MT[j2, j3]"}, +{"fcstEpsChisholm-ID11","EpsChisholm[GA[mu, nu] LC[mu, nu][p, q] == x, FCE -> True]", +"-I GS[p].GS[q].GA[5] + I GS[q].GS[p].GA[5] == x"}, +{"fcstEpsChisholm-ID12","EpsChisholm[{GA[mu, nu] LC[mu, nu][p, q], +GA[mu, nu] LC[mu, nu][a, b]}, FCE -> True]", +"{-I GS[p].GS[q].GA[5] + I GS[q].GS[p].GA[5], -I GS[a].GS[b].GA[5] + +I GS[b].GS[a].GA[5]}"} }); diff --git a/Tests/Dirac/FCChargeConjugateTransposed.test b/Tests/Dirac/FCChargeConjugateTransposed.test index d785212ea..053fbbc3e 100644 --- a/Tests/Dirac/FCChargeConjugateTransposed.test +++ b/Tests/Dirac/FCChargeConjugateTransposed.test @@ -99,6 +99,10 @@ Explicit -> True, FCE -> True]","DCHN[GA[nu].GA[5].GA[mu], j, i]"}, "FCChargeConjugateTransposed[DCHN[GA[mu, 5, nu], SpinorUBar[p], i], Explicit -> True, FCE -> True]","FCChargeConjugateTransposed[ DCHN[GA[mu].GA[5].GA[nu], Spinor[Momentum[p], 0, 1], i], -Explicit -> False, FeynCalcExternal -> True]"} +Explicit -> False, FeynCalcExternal -> True]"}, +{"fcstFCChargeConjugateTransposed-ID26","FCCCT[GA[i] == x, Explicit -> True, FCE -> True]", +"-GA[i] == x"}, +{"fcstFCChargeConjugateTransposed-ID27","FCCCT[{GA[i], GS[p]}, Explicit -> True, FCE -> True]", +"{-GA[i], -GS[p]}"} }); diff --git a/Tests/Dirac/FCDiracIsolate.test b/Tests/Dirac/FCDiracIsolate.test index a7fb30b5b..29e8e0628 100644 --- a/Tests/Dirac/FCDiracIsolate.test +++ b/Tests/Dirac/FCDiracIsolate.test @@ -308,6 +308,9 @@ b dAll[dch[ c dAll[dch[ Spinor[Momentum[p1], m, 1].GA[nu].GS[q].Spinor[Momentum[p2], m, 1]] dch[Spinor[-Momentum[p3], m, 1].GA[nu].GS[ - q2].Spinor[-Momentum[p4], m, 1]]]"} + q2].Spinor[-Momentum[p4], m, 1]]]"}, +{"fcstFCDiracIsolate-ID35", "FCDiracIsolate[GA[i] == x, Head -> dch, FCE -> True]", "dch[GA[i]] == x"}, +{"fcstFCDiracIsolate-ID36", "FCDiracIsolate[{GA[i], GS[p]}, Head -> dch, FCE -> True]", +"{dch[GA[i]], dch[GS[p]]}"} }); diff --git a/Tests/Dirac/SirlinSimplify.test b/Tests/Dirac/SirlinSimplify.test index a765044fc..af6406281 100644 --- a/Tests/Dirac/SirlinSimplify.test +++ b/Tests/Dirac/SirlinSimplify.test @@ -270,5 +270,19 @@ Spinor[Momentum[p3],m3,1].GA[liS463_].GA[6].Spinor[Momentum[p4],m4,1] \ MT[rho,tau]+(1+la1) (1-la2) \ Spinor[Momentum[p1],m1,1].GA[liS463_].GA[6].Spinor[Momentum[p2],m2,1] \ Spinor[Momentum[p3],m3,1].GA[liS463_].GA[7].Spinor[Momentum[p4],m4,1] \ -MT[rho,tau]]", "True"} +MT[rho,tau]]", "True"}, +{"fcstSirlinSimplify-ID29","SirlinSimplify[ +SpinorUBar[p3, m3].GA[mu, nu, 7].SpinorU[p1, m1] SpinorUBar[p4, + m4].GA[nu, mu, 6].SpinorU[p2, m2] == х, FCE -> True]", + "4 Spinor[Momentum[p3], m3, 1].GA[7].Spinor[Momentum[p1], m1, + 1] Spinor[Momentum[p4], m4, 1].GA[6].Spinor[Momentum[p2], m2, + 1] == х"}, +{"fcstSirlinSimplify-ID30","SirlinSimplify[{SpinorUBar[p3, m3].GA[mu, nu, 7].SpinorU[p1, + m1] SpinorUBar[p4, m4].GA[nu, mu, 6].SpinorU[p2, m2], +SpinorUBar[p3, m3].GA[nu, mu, 7].SpinorU[p1, m1] SpinorUBar[p4, + m4].GA[mu, nu, 6].SpinorU[p2, m2]}, FCE -> True]", + "{4 Spinor[Momentum[p3], m3, 1].GA[7].Spinor[Momentum[p1], m1, + 1] Spinor[Momentum[p4], m4, 1].GA[6].Spinor[Momentum[p2], m2, 1], +4 Spinor[Momentum[p3], m3, 1].GA[7].Spinor[Momentum[p1], m1, + 1] Spinor[Momentum[p4], m4, 1].GA[6].Spinor[Momentum[p2], m2, 1]}"} }); diff --git a/Tests/Dirac/SpinorChainChiralSplit.test b/Tests/Dirac/SpinorChainChiralSplit.test index a0229031d..ccb77dbaf 100644 --- a/Tests/Dirac/SpinorChainChiralSplit.test +++ b/Tests/Dirac/SpinorChainChiralSplit.test @@ -48,5 +48,18 @@ m2],Head\[Rule]dhead]", "dhead[Spinor[Momentum[p1], m1, 1] . DiracGamma[Momentum[p, D], D] \ . DiracGamma[6] . Spinor[-Momentum[p2], m2, 1]] - \ dhead[Spinor[Momentum[p1], m1, 1] . DiracGamma[Momentum[p, D], D] . \ -DiracGamma[7] . Spinor[-Momentum[p2], m2, 1]]"} +DiracGamma[7] . Spinor[-Momentum[p2], m2, 1]]"}, +{"fcstSpinorChainChiralSplit-ID7", "SpinorChainChiralSplit[ +SpinorUBar[p1, m1].GSD[p].GA[5].SpinorV[p2, m2] == x, FCE -> True]", +"Spinor[Momentum[p1], m1, 1].GSD[p].GA[6].Spinor[-Momentum[p2], m2, + 1] - Spinor[Momentum[p1], m1, 1].GSD[p].GA[ + 7].Spinor[-Momentum[p2], m2, 1] == x"}, +{"fcstSpinorChainChiralSplit-ID8", +"SpinorChainChiralSplit[{SpinorUBar[p1, m1].GSD[p].GA[5].SpinorV[p2,m2], +SpinorUBar[p1, m1].GSD[p].GS[p1].GA[6].SpinorV[p2, m2]}, +FCE -> True]","{Spinor[Momentum[p1], m1, 1].GSD[p].GA[6].Spinor[-Momentum[p2], m2, + 1] - Spinor[Momentum[p1], m1, 1].GSD[p].GA[ + 7].Spinor[-Momentum[p2], m2, 1], +Spinor[Momentum[p1], m1, 1].GSD[p].GS[p1].GA[6].Spinor[-Momentum[p2], + m2, 1]}"} }); diff --git a/Tests/Dirac/SpinorChainTranspose.test b/Tests/Dirac/SpinorChainTranspose.test index ee361b10f..03ccde681 100644 --- a/Tests/Dirac/SpinorChainTranspose.test +++ b/Tests/Dirac/SpinorChainTranspose.test @@ -94,5 +94,10 @@ FCE -> True]","-Spinor[-Momentum[q], 0, 1].GA[nu].GA[5].GA[mu].Spinor[Momentum[p {"fcstSpinorChainTranspose-ID19","SpinorChainTranspose[DCHN[SpinorVBar[p], SpinorU[q]], FCE -> True]", "-Spinor[-Momentum[q], 0, 1].Spinor[Momentum[p], 0, 1]"}, {"fcstSpinorChainTranspose-ID20","SpinorChainTranspose[DCHN[1, SpinorVBar[p], SpinorU[q]], FCE -> True]", - "-Spinor[-Momentum[q], 0, 1].Spinor[Momentum[p], 0, 1]"} + "-Spinor[-Momentum[q], 0, 1].Spinor[Momentum[p], 0, 1]"}, +{"fcstSpinorChainTranspose-ID21","SpinorChainTranspose[SpinorVBarD[p1, m1].SpinorVD[p2, m2] == x, +FCE -> True]", "-Spinor[Momentum[p2, D], m2, 1].Spinor[Momentum[p1, D], m1, 1] == x"}, +{"fcstSpinorChainTranspose-ID22","SpinorChainTranspose[{SpinorVBarD[p1, m1].SpinorVD[p2, m2], +SpinorUBarD[p1, m1].SpinorUD[p2, m2]}, FCE -> True]", "{-Spinor[Momentum[p2, D], m2, 1].Spinor[Momentum[p1, D], m1, 1], +Spinor[Momentum[p1, D], m1, 1].Spinor[Momentum[p2, D], m2, 1]}"} }); diff --git a/Tests/Dirac/SpinorChainTrick.test b/Tests/Dirac/SpinorChainTrick.test index 2a296f395..29be0bb2b 100644 --- a/Tests/Dirac/SpinorChainTrick.test +++ b/Tests/Dirac/SpinorChainTrick.test @@ -128,5 +128,11 @@ GA[mu[1]].GA[mu[2]]] Spinor[Momentum[p], 0, 1].GA[mu[1]].GA[ mu[2]].Spinor[-Momentum[q], 0, 1] + x2 DiracTrace[ GA[mu[1]].GA[mu[2]]] Spinor[Momentum[p], 0, 1].GA[mu[2]].GA[ - mu[1]].Spinor[-Momentum[q], 0, 1]"} + mu[1]].Spinor[-Momentum[q], 0, 1]"}, +{"fcstSpinorChainTrick-ID13", "SpinorChainTrick[SpinorUBar[p1, m1].GA[mu].SpinorU[p2, m2] == x, +FCE -> True]", "Spinor[Momentum[p1], m1, 1].GA[mu].Spinor[Momentum[p2], m2, 1] == x"}, +{"fcstSpinorChainTrick-ID14", "SpinorChainTrick[{SpinorUBar[p1, m1].GA[mu].SpinorU[p2, m2], +SpinorUBar[p1, m1].GA[nu].SpinorU[p2, m2]}, FCE -> True]", +"{Spinor[Momentum[p1], m1, 1].GA[mu].Spinor[Momentum[p2], m2, 1], +Spinor[Momentum[p1], m1, 1].GA[nu].Spinor[Momentum[p2], m2, 1]}"} }); diff --git a/Tests/Dirac/ToDiracGamma67.test b/Tests/Dirac/ToDiracGamma67.test index 9945e23b1..df7a5b6d4 100644 --- a/Tests/Dirac/ToDiracGamma67.test +++ b/Tests/Dirac/ToDiracGamma67.test @@ -57,5 +57,9 @@ Tests`Dirac`fcstToDiracGamma67 = "GA[mu] . GA[5] . GA[nu]"}, {"fcstToDiracGamma67-ID16", "ToDiracGamma67[GA[mu,5,nu],All\[Rule]True,FCE\[Rule]True]", -"GA[mu] . (GA[6] - GA[7]) . GA[nu]"} +"GA[mu] . (GA[6] - GA[7]) . GA[nu]"}, +{"fcstToDiracGamma67-ID17","ToDiracGamma67[4 (1 + GA[5]) == x, FCE -> True]", +"8 GA[6] == x"}, +{"fcstToDiracGamma67-ID18","ToDiracGamma67[{4 (1 + GA[5]), 2 (1 + GA[5])}, FCE -> True]", +"{8 GA[6], 4 GA[6]}"} }); diff --git a/Tests/Dirac/ToDiracSigma.test b/Tests/Dirac/ToDiracSigma.test index fc361b97a..269fe32c7 100644 --- a/Tests/Dirac/ToDiracSigma.test +++ b/Tests/Dirac/ToDiracSigma.test @@ -34,5 +34,9 @@ DiracGamma[LorentzIndex[j]]]]//ToDiracSigma[#,GA[i],GA[j]]&\ {"fcstToDiracSigma-ID8", "DiracSigmaExplicit[ DiracSigma[DiracGamma[CartesianIndex[i]], DiracGamma[CartesianIndex[j]]]] // ToDiracSigma[#, CGA[i], CGA[j]] & // -ToDiracSigma[#, CGA[j], CGA[i]] & // FCE","DiracSigma[CGA[i], CGA[j]]"} +ToDiracSigma[#, CGA[j], CGA[i]] & // FCE","DiracSigma[CGA[i], CGA[j]]"}, +{"fcstToDiracSigma-ID9", "ToDiracSigma[GA[i, j] == x, GA[i], GA[j], FCE -> True]", +"-I DiracSigma[GA[i], GA[j]] + MT[i, j] == x"}, +{"fcstToDiracSigma-ID10", "ToDiracSigma[{GA[i, j], GA[j, i]}, GA[i], GA[j], FCE -> True]", +"{-I DiracSigma[GA[i], GA[j]] + MT[i, j], GA[j].GA[i]}"} }) From 737a406544fefdd3102ed566eb0eee98ea188f47 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 8 Mar 2020 20:24:13 +0100 Subject: [PATCH 30/86] Improved FCTraceFactor and FCTraceFactor to work with Pauli traces. --- FeynCalc/NonCommAlgebra/FCTraceExpand.m | 55 +++++++++++++++++++++---- FeynCalc/NonCommAlgebra/FCTraceFactor.m | 43 +++++++++++++++---- Tests/NonCommAlgebra/FCTraceExpand.test | 48 ++++++++++++++++++++- Tests/NonCommAlgebra/FCTraceFactor.test | 32 +++++++++++++- 4 files changed, 161 insertions(+), 17 deletions(-) diff --git a/FeynCalc/NonCommAlgebra/FCTraceExpand.m b/FeynCalc/NonCommAlgebra/FCTraceExpand.m index 4522e2f33..3678dda86 100644 --- a/FeynCalc/NonCommAlgebra/FCTraceExpand.m +++ b/FeynCalc/NonCommAlgebra/FCTraceExpand.m @@ -33,7 +33,9 @@ Options[FCTraceExpand] = { DiracGammaExpand -> True, + PauliSigmaExpand -> True, DiracTrace -> True, + PauliTrace -> True, DotSimplify -> True, FCE -> False, FCI -> False, @@ -45,11 +47,12 @@ }; FCTraceExpand[expr_, OptionsPattern[]] := - Block[ {ex, moms,res, diracTraces,diracTraces2, sunTraces,sunTraces2}, + Block[{ ex, moms,res, diracTraces,diracTraces2, sunTraces,sunTraces2, + pauliTraces, pauliTraces2}, - moms = OptionValue[Momentum]; - dotSimp = OptionValue[DotSimplify]; - propPres = OptionValue[PreservePropagatorStructures]; + moms = OptionValue[Momentum]; + dotSimp = OptionValue[DotSimplify]; + propPres = OptionValue[PreservePropagatorStructures]; If [OptionValue[FCVerbose]===False, fctreVerbose=$VeryVerbose, @@ -66,7 +69,7 @@ FCPrint[1, "FCTraceExpand: Entering.", FCDoControl->fctreVerbose]; FCPrint[3, "FCTraceExpand: Entering with", ex, FCDoControl->fctreVerbose]; - If[ FreeQ2[ex,{DiracTrace, SUNTrace}], + If[ FreeQ2[ex,{DiracTrace, PauliTrace, SUNTrace}], Return[ex] ]; @@ -114,6 +117,36 @@ ]; ]; + + If[ OptionValue[PauliTrace], + FCPrint[1, "FCTraceExpand: Expanding Pauli traces.", FCDoControl->fctreVerbose]; + If [moms===All, + pauliTraces = Cases2[ex, PauliTrace], + pauliTraces = Select[Cases2[ex, PauliTrace], !FreeQ2[#, moms]&] + ]; + + pauliTraces2 = pauliTraces; + FCPrint[1, "FCTraceExpand: Done expanding Pauli traces: ", pauliTraces2, FCDoControl->fctreVerbose]; + + If [OptionValue[PauliSigmaExpand], + FCPrint[1, "FCTraceExpand: Applying PauliSigmaExpand to the Pauli traces", FCDoControl->fctreVerbose]; + pauliTraces2 = PauliSigmaExpand[#,FCI->True]&/@pauliTraces2; + FCPrint[3, "FCTraceExpand: After applying PauliSigmaExpand ", pauliTraces2, FCDoControl->fctreVerbose] + ]; + + If[ OptionValue[FCTraceFactor], + FCPrint[1, "FCTraceExpand: Applying FCTraceFactor to the Pauli traces", FCDoControl->fctreVerbose]; + pauliTraces2 = FCTraceFactor/@pauliTraces2; + FCPrint[3, "FCTraceExpand: After applying FCTraceFactor ", pauliTraces2, FCDoControl->fctreVerbose] + ]; + + If[ pauliTraces =!= {}, + FCPrint[1, "FCTraceExpand: Expanding Pauli traces.", FCDoControl->fctreVerbose]; + ex = ex /. Dispatch[Thread[pauliTraces -> traceexpand[pauliTraces2]]]; + FCPrint[3, "FCTraceExpand: After the expansion of Pauli traces: ", ex, FCDoControl->fctreVerbose] + ]; + ]; + FCPrint[3, "FCTraceExpand: Intermediate result ", ex, FCDoControl->fctreVerbose]; If[ OptionValue[FCTraceFactor], @@ -136,19 +169,25 @@ ]; traceexpand[x_] := - x /. {DiracTrace->expandDirac, SUNTrace->expandColor}; + x /. {DiracTrace->expandDirac, PauliTrace->expandPauli, SUNTrace->expandColor}; expandDirac[x_] := If [dotSimp, Distribute[DiracTrace@(Expand[DotSimplify[x,PreservePropagatorStructures->propPres,FCI->True]])], Distribute[DiracTrace@(Expand[x])] - ] + ]; + +expandPauli[x_] := + If [dotSimp, + Distribute[PauliTrace@(Expand[DotSimplify[x,PreservePropagatorStructures->propPres,FCI->True]])], + Distribute[PauliTrace@(Expand[x])] + ]; expandColor[x_] := If [dotSimp, Distribute[SUNTrace@(Expand[DotSimplify[x,PreservePropagatorStructures->propPres,FCI->True]])], Distribute[SUNTrace@(Expand[x])] - ] + ]; FCPrint[1,"FCTraceExpand.m loaded."]; End[] diff --git a/FeynCalc/NonCommAlgebra/FCTraceFactor.m b/FeynCalc/NonCommAlgebra/FCTraceFactor.m index b993c44ca..266c58267 100644 --- a/FeynCalc/NonCommAlgebra/FCTraceFactor.m +++ b/FeynCalc/NonCommAlgebra/FCTraceFactor.m @@ -33,23 +33,26 @@ }; FCTraceFactor[expr_, OptionsPattern[]] := - Block[ {ex, moms,res, diracTraces}, + Block[ {ex, moms,res, diracTraces, pauliTraces, + ruleDirac, rulePauli}, If[ OptionValue[FCI], ex = expr, ex = FCI[expr] ]; - If[ FreeQ2[ex,{DiracTrace}], + If[ FreeQ2[ex,{DiracTrace,PauliTrace}], Return[ex] ]; - - diracTraces = Cases2[ex, DiracTrace]; + pauliTraces = Cases2[ex, PauliTrace]; - If[ diracTraces =!= {}, - res = ex /. Dispatch[Thread[diracTraces -> tracefactor[diracTraces]]] + ruleDirac = Thread[diracTraces -> diracTracefactor[diracTraces]]; + rulePauli = Thread[pauliTraces -> pauliTracefactor[pauliTraces]]; + + If[ diracTraces =!= {} || pauliTraces=!={}, + res = ex /. Dispatch[ruleDirac] /. Dispatch[rulePauli] ]; If[ OptionValue[FCE], @@ -59,11 +62,16 @@ res ]; -tracefactor[x_] := +diracTracefactor[x_] := x /. DOT -> holdDOT /. DiracTrace->factorDirac /. factorDirac[] -> DiracTrace[1] /. holdDOT[] -> Sequence[] /. factorDirac -> DiracTrace /. holdDOT->DOT; +pauliTracefactor[x_] := + x /. DOT -> holdDOT /. PauliTrace->factorPauli /. factorPauli[] -> PauliTrace[1] /. + holdDOT[] -> Sequence[] /. + factorPauli -> PauliTrace /. holdDOT->DOT; + holdDOT[a___,b_,c___]:= b holdDOT[a,c]/; NonCommFreeQ[b]; @@ -79,9 +87,30 @@ factorDirac[a_SUNTrace b_.] := a factorDirac[b]; +factorDirac[a_PauliTrace b_.] := + a factorDirac[b]; + factorDirac[a_ b_] := a factorDirac[b]/; NonCommFreeQ[a] && !NonCommFreeQ[b]; +factorPauli[a_] := + a factorPauli[]/; NonCommFreeQ[a]; + +factorPauli[a_factorPauli b_.] := + a factorPauli[b]; + +factorPauli[a_SUNTrace b_.] := + a factorPauli[b]; + +factorPauli[a_DiracTrace b_.] := + a factorPauli[b]; + +factorPauli[a_ b_] := + a factorPauli[b]/; NonCommFreeQ[a] && !NonCommFreeQ[b]; + + + FCPrint[1,"FCTraceFactor.m loaded."]; End[] + diff --git a/Tests/NonCommAlgebra/FCTraceExpand.test b/Tests/NonCommAlgebra/FCTraceExpand.test index 3f7c77d77..b40d118f8 100644 --- a/Tests/NonCommAlgebra/FCTraceExpand.test +++ b/Tests/NonCommAlgebra/FCTraceExpand.test @@ -118,5 +118,51 @@ DiracTrace[ SUNT[SUNIndex[b]].SUNT[SUNIndex[a]] DiracGamma[ Momentum[q]].DiracGamma[LorentzIndex[mu]].DiracGamma[ 6].DiracGamma[Momentum[q]].DiracGamma[ - LorentzIndex[mu]].DiracGamma[7]]"} + LorentzIndex[mu]].DiracGamma[7]]"}, +{"fcstFCTraceExpand-ID19", +"FCTraceExpand[PauliTrace[CSI[i]],FCE->True]", +"PauliTrace[CSI[i]]"}, +{"fcstFCTraceExpand-ID20", +"FCTraceExpand[PauliTrace[CSI[i]+CSI[j]],FCE->True]", +"PauliTrace[CSI[i]] + PauliTrace[CSI[j]]"}, +{"fcstFCTraceExpand-ID21", +"FCTraceExpand[PauliTrace[CSIS[p]],FCE->True]", +"PauliTrace[CSIS[p]]"}, +{"fcstFCTraceExpand-ID22", +"FCTraceExpand[PauliTrace[CSIS[p+b]],PauliSigmaExpand->False,\ +FCE->True]", "PauliTrace[CSIS[b + p]]"}, +{"fcstFCTraceExpand-ID23", +"FCTraceExpand[PauliTrace[CSI[i,i]+CSI[j,j]],FCE->True]", +"PauliTrace[CSI[i] . CSI[i]] + PauliTrace[CSI[j] . CSI[j]]"}, +{"fcstFCTraceExpand-ID24", +"FCTraceExpand[PauliTrace[CSI[i, i] + CSI[j, j].PauliTrace[CSI[a] \ ++ CSI[b]]]] // FCE", +"PauliTrace[CSI[i] . CSI[i]] + PauliTrace[CSI[j] . CSI[j] . \ +PauliTrace[CSI[a]]] + PauliTrace[CSI[j] . CSI[j] . \ +PauliTrace[CSI[b]]]"}, +{"fcstFCTraceExpand-ID25", +"FCTraceExpand[PauliTrace[CSI[i, i] + CSI[j, j] PauliTrace[CSI[a] \ ++ CSI[b]]]] // FCE", +"PauliTrace[CSI[i] . CSI[i]] + \ +PauliTrace[CSI[a]]*PauliTrace[CSI[j] . CSI[j]] + \ +PauliTrace[CSI[b]]*PauliTrace[CSI[j] . CSI[j]]"}, +{"fcstFCTraceExpand-ID26", +"FCTraceExpand[PauliTrace[CSI[i, i] +CSI[j, j] PauliTrace[CSI[a] + \ +CSI[b] PauliTrace[CSI[x]]]]] // FCE", +"PauliTrace[CSI[i] . CSI[i]] + \ +PauliTrace[CSI[a]]*PauliTrace[CSI[j] . CSI[j]] + \ +PauliTrace[CSI[b]]*PauliTrace[CSI[x]]*PauliTrace[CSI[j] . CSI[j]]"}, +{"fcstFCTraceExpand-ID27", +"FCTraceExpand[PauliTrace[CSIS[x]+CSIS[y]]+PauliTrace[CSIS[y]+CSIS[\ +z]],Momentum\[Rule]{z},FCE->True]", +"PauliTrace[CSIS[y]] + PauliTrace[CSIS[x] + CSIS[y]] + \ +PauliTrace[CSIS[z]]"}, +{"fcstFCTraceExpand-ID28", +"FCTraceExpand[PauliTrace[CSIS[x] + CSIS[y]], PauliTrace -> \ +False,FCE->True]", "PauliTrace[CSIS[x] + CSIS[y]]"}, +{"fcstFCTraceExpand-ID29", +"PauliTrace[CGSD[k+p].CSI[j].CGSD[l-p].CSID[nu].CGSD[l].CSID[la].\ +CGSD[k+l]]//FCTraceExpand//FCE", +"PauliTrace[CSI[j] . CSID[nu] . CSID[la]*CGSD[k + p] . CGSD[l - p] \ +. CGSD[l] . CGSD[k + l]]"} }) diff --git a/Tests/NonCommAlgebra/FCTraceFactor.test b/Tests/NonCommAlgebra/FCTraceFactor.test index 49bdbd505..33678fc9d 100644 --- a/Tests/NonCommAlgebra/FCTraceFactor.test +++ b/Tests/NonCommAlgebra/FCTraceFactor.test @@ -41,5 +41,35 @@ b)]]//FCE", "FCTraceFactor[ DiracTrace[(x*(GS[p1] + M)).GA[mu].SI[xx].SUNT[ a].(y*(GS[p2] + M).GA[nu])], FCE -> True]", -"x y DiracTrace[(M + GS[p1]).GA[mu].SI[xx].SUNT[a].(M + GS[p2]).GA[nu]]"} +"x y DiracTrace[(M + GS[p1]).GA[mu].SI[xx].SUNT[a].(M + GS[p2]).GA[nu]]"}, +{"fcstFCTraceFactor-ID10", "FCTraceFactor[PauliTrace[2]]//FCE", +"2*PauliTrace[1]"}, +{"fcstFCTraceFactor-ID11", +"FCTraceFactor[PauliTrace[(2).CSI[i]]]//FCE", +"2*PauliTrace[CSI[i]]"}, +{"fcstFCTraceFactor-ID12", +"FCTraceFactor[PauliTrace[(2).(3*CSI[i])]]//FCE", +"6*PauliTrace[CSI[i]]"}, +{"fcstFCTraceFactor-ID13", +"FCTraceFactor[PauliTrace[(2).(3).(4)]]//FCE", +"24*PauliTrace[1]"}, +{"fcstFCTraceFactor-ID14", +"FCTraceFactor[PauliTrace[(2).(0).(4)]]//FCE", "0"}, +{"fcstFCTraceFactor-ID15", +"FCTraceFactor[PauliTrace[(x*(CGS[p1]+M)).CSI[mu].SUNT[a].(y*(CGS[\ +p2]+M).CSI[nu])]]//FCE", +"x*y*PauliTrace[(M + CGS[p1]) . CSI[mu] . SUNT[a] . (M + CGS[p2]) \ +. CSI[nu]]"}, +{"fcstFCTraceFactor-ID16", +"FCTraceFactor[PauliTrace[(a+b).(a-b).PauliTrace[CSI[i].c.CSI[j]].(\ +a+b)]]//FCE", +"(a - b)*(a + b)^2*c*PauliTrace[PauliTrace[CSI[i] . CSI[j]]]"}, +{"fcstFCTraceFactor-ID17", +"PauliTrace[PauliTrace[CSI[i, j]] CSI[k, l]] // FCTraceFactor // \ +FCE", "PauliTrace[CSI[i] . CSI[j]]*PauliTrace[CSI[k] . CSI[l]]"}, +{"fcstFCTraceFactor-ID18", +"FCTraceFactor[PauliTrace[(x*(CGS[p1] + M)).CSI[mu].SI[xx].SUNT[ + a].(y*(CGS[p2] + M).CSI[nu])], FCE -> True]", +"x*y*PauliTrace[(M + CGS[p1]) . CSI[mu] . SI[xx] . SUNT[a] . (M + \ +CGS[p2]) . CSI[nu]]"} }) From ad30040d29676185eda4d8949a67fcd752ef8988 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 8 Mar 2020 20:47:15 +0100 Subject: [PATCH 31/86] Improved FCPauliIsolate to support Pauli traces. --- FeynCalc/Pauli/FCPauliIsolate.m | 60 +++++++++++++++++++++++++-------- 1 file changed, 46 insertions(+), 14 deletions(-) diff --git a/FeynCalc/Pauli/FCPauliIsolate.m b/FeynCalc/Pauli/FCPauliIsolate.m index 2c22a9ae6..1a735ede2 100755 --- a/FeynCalc/Pauli/FCPauliIsolate.m +++ b/FeynCalc/Pauli/FCPauliIsolate.m @@ -39,8 +39,9 @@ FCE -> False, FCI -> False, FCJoinDOTs -> True, + FCTraceExpand -> False, FCVerbose -> False, - Factoring -> Factor, + Factoring -> {Factor2, 5000}, Head -> FCGV["PauliChain"], Isolate -> False, IsolateFast -> False, @@ -49,6 +50,7 @@ PauliEta -> True, PauliSigma -> True, PauliSigmaCombine -> True, + PauliTrace -> True, PauliXi -> True, Polarization -> False, Split -> True, @@ -61,13 +63,19 @@ Cases[SelectNotFree[expr, heads], l: (_LorentzIndex| _CartesianIndex) :> l[[1]] ,Infinity]]] ]; +holdDOT[]=1; + +FCPauliIsolate[a_ == b_, opts:OptionsPattern[]] := + FCPauliIsolate[a,opts] == FCPauliIsolate[b,opts]; + FCPauliIsolate[expr_List, opts:OptionsPattern[]]:= FCPauliIsolate[#, opts]&/@expr; -FCPauliIsolate[expr_/;Head[expr]=!=List, OptionsPattern[]] := - Block[{ res, null1, null2, ex,tmp, head, selectionList, lorHead, - tmpHead,tmpHead2, time, fcpiVerbose, headsList, - optTimeConstrained, optHead, headR}, +FCPauliIsolate[expr_/; !MemberQ[{List,Equal},expr], OptionsPattern[]] := + Block[{ res, null1, null2, ex,tmp, head, selectionList, + tmpHead, time, fcpiVerbose, headsList, headsOrig, + optTimeConstrained, optHead, headR, collectList, optSplit, + allHeads, allHeadsEval}, If [OptionValue[FCVerbose]===False, fcpiVerbose=$VeryVerbose, @@ -77,7 +85,11 @@ ]; optTimeConstrained = OptionValue[TimeConstrained]; - headsList = PauliHeadsList; + optSplit = OptionValue[Split]; + headsOrig = Complement[PauliHeadsList,OptionValue[ExceptHeads]]; + headsList = headsOrig; + collectList = headsList; + If[ OptionValue[Polarization], headsList = Join[headsList,{Polarization}]; @@ -91,6 +103,16 @@ headsList = Join[headsList,{CartesianIndex}]; ]; + If [ OptionValue[Polarization]=!=False, + collectList = Join[collectList,{Polarization}] + ]; + If [ OptionValue[LorentzIndex]=!=False, + collectList = Join[collectList,{LorentzIndex}] + ]; + If [ OptionValue[CartesianIndex]=!=False, + collectList = Join[collectList,{CartesianIndex}] + ]; + optHead = OptionValue[Head]; If[MatchQ[optHead,{_,_}], @@ -137,17 +159,24 @@ FCPrint[3, "FCPauliIsolate: After DotSimplify: ", ex, FCDoControl->fcpiVerbose] ]; + If[ OptionValue[FCTraceExpand], + time=AbsoluteTime[]; + FCPrint[1, "FCPauliIsolate: Applying FCTraceExpand.", FCDoControl->fcpiVerbose]; + ex = FCTraceExpand[ex, FCI->True, SUNTrace->False]; + FCPrint[1, "FCPauliIsolate: Done applying FCTraceExpand, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcpiVerbose]; + FCPrint[3, "FCPauliIsolate: After FCTraceExpand: ", ex, FCDoControl->fcpiVerbose] + ]; + If[ OptionValue[Collecting], time=AbsoluteTime[]; FCPrint[1, "FCPauliIsolate: Applying Collect2.", FCDoControl->fcpiVerbose]; ex = Collect2[ex,headsList,Factoring->OptionValue[Factoring],TimeConstrained->optTimeConstrained]; - FCPrint[1, "FCPauliIsolate: Done applying Collect2, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcpiVerbose] + FCPrint[1, "FCPauliIsolate: Done applying Collect2, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcpiVerbose]; + FCPrint[3, "FCPauliIsolate: After Collect2: ", ex, FCDoControl->fcpiVerbose] ]; - - time=AbsoluteTime[]; - FCPrint[1, "FCPauliIsolate: Handling Lorentz and Cartesian indices.", FCDoControl->fcpiVerbose]; + FCPrint[1, "FCPauliIsolate: Isolating heads.", FCDoControl->fcpiVerbose]; If[ OptionValue[LorentzIndex]===True || OptionValue[CartesianIndex]===True, res = (Map[(selectionList=makeSelectionList[#,headsList]; restHead[SelectFree[#, selectionList]] head[SelectNotFree[#, selectionList]])&, ex + null1 + null2] /. {null1 | null2 -> 0} /. head[1] -> 1), @@ -155,11 +184,9 @@ res = (Map[(restHead[SelectFree[#, headsList]] head[SelectNotFree[#, headsList]]) &, ex + null1 + null2] /. {null1 | null2 -> 0} /. head[1] -> 1) ]; - FCPrint[1, "FCPauliIsolate: Done handling Lorentz and Cartesian indices, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcpiVerbose]; + FCPrint[1, "FCPauliIsolate: Done isolating heads, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcpiVerbose]; - res = res /. {head[x_] /; !FreeQ2[x, OptionValue[ExceptHeads]] :> x}; - - If[ Together[(res /. restHead|head|tmpHead|lorHead|tmpHead2 -> Identity)-ex] =!= 0, + If[ Together[(res /. restHead|head -> Identity)-ex] =!= 0, Message[FCPauliIsolate::fail, ex]; Abort[] ]; @@ -177,6 +204,11 @@ FCPrint[1, "FCPauliIsolate: Removing unneeded isolations.", FCDoControl->fcpiVerbose]; (* Here we unisolate objects that are not needed *) + + If[ !OptionValue[PauliTrace] && !FreeQ[res,PauliTrace], + res = res //. head[x_PauliTrace y_.] :> x head[y] + ]; + If[ !OptionValue[PauliSigma], res = res //. head[x_PauliSigma y_.] :> x head[y] //. head[DOT[x__] y_.]/; FreeQ[{x},Spinor] && !FreeQ[{x},PauliSigma] :> DOT[x] head[y]; From 30e01011c61bd010438f627eed9709fac1406591 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 22 Mar 2020 15:01:46 +0100 Subject: [PATCH 32/86] Added experimental support for FerSolve from FeynHelpers in Tdec. --- FeynCalc/LoopIntegrals/Tdec.m | 74 +++++++++++++++++++++++++---------- 1 file changed, 53 insertions(+), 21 deletions(-) diff --git a/FeynCalc/LoopIntegrals/Tdec.m b/FeynCalc/LoopIntegrals/Tdec.m index 12bf6cad7..deccd279f 100644 --- a/FeynCalc/LoopIntegrals/Tdec.m +++ b/FeynCalc/LoopIntegrals/Tdec.m @@ -65,7 +65,7 @@ (* Just write down the most general decomposition, without solving any linear equations. This is meant to be called from TID *) BasisOnly; - +UseFerSolve; End[] @@ -83,7 +83,8 @@ Head -> Identity, List -> True, UseParallelization -> True, - UseTIDL -> True + UseTIDL -> True, + UseFerSolve -> True }; SetAttributes[symmMT,Orderless]; @@ -253,7 +254,7 @@ index lists (via Tuples) is much simpler, as compared to the metric Since the number of symmetries can be in principle quite large, we employ the Cycles-notation. *) - FCPrint[1, "Tdec: CCSymmetrize: Entering with ", {ins,li,syms}, "" , FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: CCSymmetrize: Entering with ", {ins,li,syms}, "" , FCDoControl->tdecVerbose]; detPos[x_] := @@ -282,6 +283,7 @@ index lists (via Tuples) is much simpler, as compared to the metric ]; FCPrint[3, "Tdec: CCSymmetrize: Permutation groups ", permGroup, "" , FCDoControl->tdecVerbose]; + tmp = Sort[Permute[li,permGroup]]; tmpList = Transpose[{ins,#}]&/@tmp; tmp = Transpose[{ins,First[tmp]}]; @@ -323,7 +325,7 @@ index lists (via Tuples) is much simpler, as compared to the metric Tdec[exp_:1, li : {{_, _} ..}, ppli_List/;FreeQ[ppli,OptionQ], OptionsPattern[]] := Block[ {tt, factor, dim, proli, nccli, ccli, pli, - eqli, neqli, nttt,listlabel, fce, + eqli, neqli, nttt,listlabel, fce, time, time1, veqli, seqli, scqli, solu,ii,ex,ce,xy, optHead, extMom,basisonly,multiLoop=False,lis,mlis,basis,multiLoopSyms={}}, @@ -396,19 +398,35 @@ index lists (via Tuples) is much simpler, as compared to the metric (* generate (non-symmetric) tensor basis *) + time=AbsoluteTime[]; + FCPrint[1, "Tdec: Generating the tensor basis", FCDoControl->tdecVerbose]; basis = fullBasis[lis,pli,dim]; - FCPrint[2, "Tdec: non-symmetric tensor basis ",basis, FCDoControl->tdecVerbose]; + FCPrint[1, "Tdec: Done generating the tensor basis, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: Non-symmetric tensor basis ",basis, FCDoControl->tdecVerbose]; + + FCPrint[1, "Tdec: Symmetrizing the tensor basis", FCDoControl->tdecVerbose]; + time=AbsoluteTime[]; (* symmetrize the tensor basis *) If[!multiLoop, (* symmetrizing the basis for 1-loop is really trivial... *) basis = (basis /. CC[a_, _] :> CC[Sort[a]]) // Collect[#, CC[__]] &, If[multiLoopSyms=!={}, - basis = (basis/. CC[x__] :> CC[CCSymmetrize[x, multiLoopSyms]])// Collect[#, CC[__]] &, + time1=AbsoluteTime[]; + FCPrint[1, "Tdec: Applying CCSymmetrize", FCDoControl->tdecVerbose]; + FCPrint[1, "Tdec: Need to check ", Length[Cases2[basis,CC]], " pieces", FCDoControl->tdecVerbose]; + basis = (basis/. CC[x__] :> CC[CCSymmetrize[x, multiLoopSyms]]); + FCPrint[1, "Tdec: Done applying CCSymmetrize, timing: ", N[AbsoluteTime[] - time1, 4], FCDoControl->tdecVerbose]; + + time1=AbsoluteTime[]; + FCPrint[1, "Tdec: Applying Collect", FCDoControl->tdecVerbose]; + basis = Collect[basis, CC[__]]; + FCPrint[1, "Tdec: Done applying Collect, timing: ", N[AbsoluteTime[] - time1, 4], FCDoControl->tdecVerbose], (* a general multiloop integral doesn't necessarily has to have any symmetrices in the indices *) basis = (basis/. CC[x__] :> CC[Transpose[{x}]])// Collect[#, CC[__]] & ] ]; + FCPrint[1, "Tdec: Done symmetrizing the tensor basis, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->tdecVerbose]; (* if we were requested to provide only the symmetric tensor basis, we stop here *) If[ basisonly, @@ -418,10 +436,11 @@ index lists (via Tuples) is much simpler, as compared to the metric Return[(basis/.extMom->optHead/.CC[xx__]:> FCGV["PaVe"][xx])] ] ]; - FCPrint[1, "Tdec: symmetrized tensor basis ",basis, FCDoControl->tdecVerbose]; + + FCPrint[3, "Tdec: symmetrized tensor basis ",basis, FCDoControl->tdecVerbose]; (* list of tensor coefficients for which we need to solve our linear equations *) ccli = Cases[basis,CC[__],Infinity]; - FCPrint[2, "Tdec: ccli:", ccli, FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: ccli:", ccli, FCDoControl->tdecVerbose]; (* out of the tensor coefficients we create tensor structures that will be contracted with the original tensor equations to get a system of linear (scalar) equations *) @@ -429,7 +448,7 @@ with the original tensor equations to get a system of linear (scalar) equations proli= ccli /. CC[x__] :> ccProjOneLoop[x, lis, pli, dim], proli= ccli /. CC[x__] :> ccProjMultiLoop[x, pli, dim] ]; - FCPrint[2, "Tdec: proli after ccProj ",proli, FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: proli after ccProj ",proli, FCDoControl->tdecVerbose]; proli = Sort[proli]; If[!FreeQ2[proli,{ccProjOneLoop,ccProjMultiLoop}], @@ -440,17 +459,25 @@ with the original tensor equations to get a system of linear (scalar) equations (* tt is the actual tensor equation that has to be solved *) tt = Equal[Times @@ (Pair[Momentum[#[[1]],dim], LorentzIndex[#[[2]],dim]] & /@ li),basis]; - FCPrint[1, "Tdec: tt is ", tt, FCDoControl->tdecVerbose]; - FCPrint[1, "Tdec: contracting tt with ", proli, FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: tt is ", tt, FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: contracting tt with ", proli, FCDoControl->tdecVerbose]; (* eqli is the linear system that is built out of tt after contractions with the elements of proli *) + + FCPrint[1, "Tdec: Need to contract a tensor equation with ", Length[tt[[2]]], " terms with ", Length[proli], + " projectors. ", FCDoControl->tdecVerbose]; + + + FCPrint[1, "Tdec: Building a system of scalar equations.", FCDoControl->tdecVerbose]; + time=AbsoluteTime[]; eqli = Table[FCPrint[1, "ii = ", ii, FCDoControl->tdecVerbose]; Equal[Expand[(tt[[1]] proli[[ii]]),Pair]/.Pair->PairContract/.PairContract->Pair,(tt[[2]] proli[[ii]])]/.Pair->PairContract/.PairContract->Pair, {ii, Length[proli]}]; + FCPrint[1, "Tdec: Done building a system of scalar equations, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->tdecVerbose]; - - FCPrint[1, "Length of eqli = ", Length[eqli], FCDoControl->tdecVerbose]; - FCPrint[1, "eqli = ", TableForm[eqli], FCDoControl->tdecVerbose]; + Print["here"]; + FCPrint[1, "Tdec: Number of tensor equations to solve: ", Length[eqli], FCDoControl->tdecVerbose]; + FCPrint[3, "eqli = ", TableForm[eqli], FCDoControl->tdecVerbose]; FCPrint[1, "solving ", Length[ccli], FCDoControl->tdecVerbose]; (* introduce abbreviations to simplify the solving process *) @@ -462,7 +489,7 @@ with the original tensor equations to get a system of linear (scalar) equations ccli = ccli /. scqli; (* Let us collect common coefficients in each equation to make solving even faster *) neqli = Map[Replace[#,Equal[a_, b_] :> Equal[a, Collect[b, ccli]]] &, neqli]; - FCPrint[1, "neqli = ", TableForm[neqli], FCDoControl->tdecVerbose]; + FCPrint[3, "neqli = ", TableForm[neqli], FCDoControl->tdecVerbose]; (*Before computing the decomposition formula, check if the result is already available in the TIDL database *) If[ OptionValue[UseTIDL] && TIDL[li,pli,Dimension->dim]=!=Apply[Times, @@ -470,7 +497,7 @@ with the original tensor equations to get a system of linear (scalar) equations FCPrint[1, "This decomposition formula is available in TIDL, skipping calculation.", FCDoControl->tdecVerbose]; tt = TIDL[li,pli,Dimension->dim]; - FCPrint[1, "Result from TIDL: ", tt, FCDoControl->tdecVerbose]; + FCPrint[3, "Result from TIDL: ", tt, FCDoControl->tdecVerbose]; If[ listlabel, tt = FeynCalcInternal[FeynCalcExternal[tt] /. Dispatch[FeynCalcExternal[seqli]]]; ], @@ -482,11 +509,16 @@ with the original tensor equations to get a system of linear (scalar) equations FCPrint[2, "Tdec: Solving: ", neqli, FCDoControl->tdecVerbose]; FCPrint[2, "Tdec: For: ", ccli, FCDoControl->tdecVerbose]; - solu = Solve3[neqli, ccli, Factoring -> factor, ParallelMap->OptionValue[UseParallelization]]; + If[ FeynCalc`Package`FeynHelpersLoaded===True && OptionValue[UseFerSolve], + solu = FeynCalc`FerSolve[neqli,ccli], + + FCPrint[1, "Tdec: Using Solve3", FCDoControl->tdecVerbose]; + solu = Solve3[neqli, ccli, Factoring -> factor, ParallelMap->OptionValue[UseParallelization]]; + FCPrint[1, "Tdec: Solve3 done. Used memory: ", MemoryInUse[], FCDoControl->tdecVerbose]; + FCPrint[1, "Tdec: Solve3 bytecount", ByteCount[solu], FCDoControl->tdecVerbose] + ]; - FCPrint[1, "Tdec: Solve3 done. Used memory: ", MemoryInUse[], FCDoControl->tdecVerbose]; - FCPrint[1, "Tdec: Solve3 bytecount", ByteCount[solu], FCDoControl->tdecVerbose]; - FCPrint[2, "Tdec: solu:", Normal[solu], FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: solu:", Normal[solu], FCDoControl->tdecVerbose]; nttt = Collect[tt[[2]], Map[First, scqli]]; If[ fce, nttt = FeynCalcExternal[nttt] @@ -495,7 +527,7 @@ with the original tensor equations to get a system of linear (scalar) equations solu = solu /. Map[Reverse, seqli]; ]; solu = solu /. Dispatch[Map[Reverse, scqli]]; - FCPrint[2, "Tdec: solu:", Normal[solu], FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: solu:", Normal[solu], FCDoControl->tdecVerbose]; tt = nttt /. Dispatch[solu]; ]; From d7f1536bbe0d158867dfa0b02787a9f023c29897 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 22 Mar 2020 15:13:39 +0100 Subject: [PATCH 33/86] Set PauliReduce to False by default in the Pauli algebra routines. --- FeynCalc/Pauli/PauliSimplify.m | 2 +- FeynCalc/Pauli/PauliTrick.m | 2 +- Tests/Pauli/PauliSimplify.test | 135 +++++++++++++++------------------ Tests/Pauli/PauliTrick.test | 33 ++++---- 4 files changed, 79 insertions(+), 93 deletions(-) diff --git a/FeynCalc/Pauli/PauliSimplify.m b/FeynCalc/Pauli/PauliSimplify.m index 3dbfed831..fe6ff340e 100755 --- a/FeynCalc/Pauli/PauliSimplify.m +++ b/FeynCalc/Pauli/PauliSimplify.m @@ -59,7 +59,7 @@ FCVerbose -> False, Factoring -> False, PauliOrder -> False, - PauliReduce -> True, + PauliReduce -> False, PauliSigmaCombine -> False (*PauliTraceEvaluate -> True,*) }; diff --git a/FeynCalc/Pauli/PauliTrick.m b/FeynCalc/Pauli/PauliTrick.m index 5276261be..9f54e90e8 100755 --- a/FeynCalc/Pauli/PauliTrick.m +++ b/FeynCalc/Pauli/PauliTrick.m @@ -49,7 +49,7 @@ FCPauliIsolate -> True, FCVerbose -> False, PauliSigmaCombine -> False, - PauliReduce -> True + PauliReduce -> False }; pauliTrickEvalFastFromPauliSimplifyList[pauliObjects_List, {(*optInsidePauliTrace*)_, (*optPauliOrder*)_}]:= diff --git a/Tests/Pauli/PauliSimplify.test b/Tests/Pauli/PauliSimplify.test index 37b2935e2..5ca249c03 100644 --- a/Tests/Pauli/PauliSimplify.test +++ b/Tests/Pauli/PauliSimplify.test @@ -13,30 +13,30 @@ (* ------------------------------------------------------------------------ *) -Tests`Pauli`fcstPauliSimplfyChains = +Tests`Pauli`fcstPauliSimplifyChains = ({ -{"fcstPauliSimplfyChains-ID1", -"PauliSimplify[CSIS[p].CSI[j1].CSIS[p],PauliReduce\[Rule]False,\ +{"fcstPauliSimplifyChains-ID1", +"PauliSimplify[CSIS[p].CSI[j1].CSIS[p],\ FCE->True]", "-(CSI[j1]*CSP[p, p]) + 2*CSIS[p]*CV[p, j1]"}, -{"fcstPauliSimplfyChains-ID2", -"PauliSimplify[CSIS[p].CSI[j1,j2].CSIS[p],PauliReduce\[Rule]False,\ +{"fcstPauliSimplifyChains-ID2", +"PauliSimplify[CSIS[p].CSI[j1,j2].CSIS[p],\ FCE->True]", "CSP[p, p]*CSI[j1] . CSI[j2] - 2*CV[p, j2]*CSI[j1] . CSIS[p] + \ 2*CV[p, j1]*CSI[j2] . CSIS[p]"}, -{"fcstPauliSimplfyChains-ID3", +{"fcstPauliSimplifyChains-ID3", "PauliSimplify[CSIS[p].CSI[j1,j2,j3].CSIS[p],PauliReduce\[Rule]\ False,FCE->True]", "-(CSP[p, p]*CSI[j1] . CSI[j2] . CSI[j3]) + 2*CV[p, j3]*CSI[j1] . \ CSI[j2] . CSIS[p] - 2*CV[p, j2]*CSI[j1] . CSI[j3] . CSIS[p] + 2*CV[p, \ j1]*CSI[j2] . CSI[j3] . CSIS[p]"}, -{"fcstPauliSimplfyChains-ID4", +{"fcstPauliSimplifyChains-ID4", "PauliSimplify[CSIS[p].CSI[j1,j2,j3,j4].CSIS[p],PauliReduce\[Rule]\ False,FCE->True]", "CSP[p, p]*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] - 2*CV[p, \ j4]*CSI[j1] . CSI[j2] . CSI[j3] . CSIS[p] + 2*CV[p, j3]*CSI[j1] . \ CSI[j2] . CSI[j4] . CSIS[p] - 2*CV[p, j2]*CSI[j1] . CSI[j3] . CSI[j4] \ . CSIS[p] + 2*CV[p, j1]*CSI[j2] . CSI[j3] . CSI[j4] . CSIS[p]"}, -{"fcstPauliSimplfyChains-ID5", +{"fcstPauliSimplifyChains-ID5", "PauliSimplify[CSIS[p].CSI[j1,j2,j3,j4,j5].CSIS[p],PauliReduce\ \[Rule]False,FCE->True]", "-(CSP[p, p]*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5]) + \ @@ -45,9 +45,9 @@ j4]*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j5] . CSIS[p] + 2*CV[p, \ j3]*CSI[j1] . CSI[j2] . CSI[j4] . CSI[j5] . CSIS[p] - 2*CV[p, \ j2]*CSI[j1] . CSI[j3] . CSI[j4] . CSI[j5] . CSIS[p] + 2*CV[p, \ j1]*CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSIS[p]"}, -{"fcstPauliSimplfyChains-ID6", +{"fcstPauliSimplifyChains-ID6", "PauliSimplify[CSIS[p].CSI[j1,j2,j3,j4,j5,j6,j7].CSIS[p],\ -PauliReduce\[Rule]False,FCE->True]", +FCE->True]", "-(CSP[p, p]*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . \ CSI[j6] . CSI[j7]) + 2*CV[p, j7]*CSI[j1] . CSI[j2] . CSI[j3] . \ CSI[j4] . CSI[j5] . CSI[j6] . CSIS[p] - 2*CV[p, j6]*CSI[j1] . CSI[j2] \ @@ -59,9 +59,9 @@ CSI[j5] . CSI[j6] . CSI[j7] . CSIS[p] - 2*CV[p, j2]*CSI[j1] . CSI[j3] \ . CSI[j4] . CSI[j5] . CSI[j6] . CSI[j7] . CSIS[p] + 2*CV[p, \ j1]*CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . CSI[j7] . \ CSIS[p]"}, -{"fcstPauliSimplfyChains-ID7", +{"fcstPauliSimplifyChains-ID7", "PauliSimplify[CSIS[p].CSI[j1,j2,j3,j4,j5,j6,j7,j8].CSIS[p],\ -PauliReduce\[Rule]False,FCE->True]", +FCE->True]", "CSP[p, p]*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . \ CSI[j6] . CSI[j7] . CSI[j8] - 2*CV[p, j8]*CSI[j1] . CSI[j2] . CSI[j3] \ . CSI[j4] . CSI[j5] . CSI[j6] . CSI[j7] . CSIS[p] + 2*CV[p, \ @@ -75,9 +75,9 @@ CSI[j5] . CSI[j6] . CSI[j7] . CSI[j8] . CSIS[p] - 2*CV[p, j2]*CSI[j1] \ . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . CSI[j7] . CSI[j8] . CSIS[p] \ + 2*CV[p, j1]*CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . \ CSI[j7] . CSI[j8] . CSIS[p]"}, -{"fcstPauliSimplfyChains-ID8", +{"fcstPauliSimplifyChains-ID8", "PauliSimplify[CSIS[p].CSI[j1,j2,j3,j4,j5,j6,j7,j8,j9].CSIS[p],\ -PauliReduce\[Rule]False,FCE->True]", +FCE->True]", "-(CSP[p, p]*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . \ CSI[j6] . CSI[j7] . CSI[j8] . CSI[j9]) + 2*CV[p, j9]*CSI[j1] . \ CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . CSI[j7] . CSI[j8] . \ @@ -94,9 +94,9 @@ CSIS[p] - 2*CV[p, j2]*CSI[j1] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] \ . CSI[j7] . CSI[j8] . CSI[j9] . CSIS[p] + 2*CV[p, j1]*CSI[j2] . \ CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . CSI[j7] . CSI[j8] . CSI[j9] . \ CSIS[p]"}, -{"fcstPauliSimplfyChains-ID9", +{"fcstPauliSimplifyChains-ID9", "PauliSimplify[CSIS[p].CSI[j1,j2,j3,j4,j5,j6,j7,j8,j9,j10].CSIS[p],\ -PauliReduce\[Rule]False,FCE->True]", +FCE->True]", "2*CV[p, j9]*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . \ CSI[j6] . CSI[j7] . CSI[j8] . CSI[j10] . CSIS[p] + CSP[p, p]*CSI[j1] \ . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . CSI[j7] . CSI[j8] \ @@ -116,21 +116,21 @@ CSI[j10] . CSIS[p] - 2*CV[p, j2]*CSI[j1] . CSI[j3] . CSI[j4] . \ CSI[j5] . CSI[j6] . CSI[j7] . CSI[j8] . CSI[j9] . CSI[j10] . CSIS[p] \ + 2*CV[p, j1]*CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . \ CSI[j7] . CSI[j8] . CSI[j9] . CSI[j10] . CSIS[p]"}, -{"fcstPauliSimplfyChains-ID10", -"PauliSimplify[CSISD[p].CSID[j1].CSISD[p],PauliReduce\[Rule]False,\ +{"fcstPauliSimplifyChains-ID10", +"PauliSimplify[CSISD[p].CSID[j1].CSISD[p],\ FCE->True]", "-(CSID[j1]*CSPD[p, p]) + 2*CSISD[p]*CVD[p, j1]"}, -{"fcstPauliSimplfyChains-ID11", +{"fcstPauliSimplifyChains-ID11", "PauliSimplify[CSISD[p].CSID[j1,j2].CSISD[p],PauliReduce\[Rule]\ False,FCE->True]", "CSPD[p, p]*CSID[j1] . CSID[j2] - 2*CVD[p, j2]*CSID[j1] . CSISD[p] \ + 2*CVD[p, j1]*CSID[j2] . CSISD[p]"}, -{"fcstPauliSimplfyChains-ID12", +{"fcstPauliSimplifyChains-ID12", "PauliSimplify[CSISD[p].CSID[j1,j2,j3].CSISD[p],PauliReduce\[Rule]\ False,FCE->True]", "-(CSPD[p, p]*CSID[j1] . CSID[j2] . CSID[j3]) + 2*CVD[p, \ j3]*CSID[j1] . CSID[j2] . CSISD[p] - 2*CVD[p, j2]*CSID[j1] . CSID[j3] \ . CSISD[p] + 2*CVD[p, j1]*CSID[j2] . CSID[j3] . CSISD[p]"}, -{"fcstPauliSimplfyChains-ID13", +{"fcstPauliSimplifyChains-ID13", "PauliSimplify[CSISD[p].CSID[j1,j2,j3,j4].CSISD[p],PauliReduce\ \[Rule]False,FCE->True]", "CSPD[p, p]*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] - 2*CVD[p, \ @@ -138,7 +138,7 @@ j4]*CSID[j1] . CSID[j2] . CSID[j3] . CSISD[p] + 2*CVD[p, j3]*CSID[j1] \ . CSID[j2] . CSID[j4] . CSISD[p] - 2*CVD[p, j2]*CSID[j1] . CSID[j3] . \ CSID[j4] . CSISD[p] + 2*CVD[p, j1]*CSID[j2] . CSID[j3] . CSID[j4] . \ CSISD[p]"}, -{"fcstPauliSimplfyChains-ID14", +{"fcstPauliSimplifyChains-ID14", "PauliSimplify[CSISD[p].CSID[j1,j2,j3,j4,j5].CSISD[p],PauliReduce\ \[Rule]False,FCE->True]", "-(CSPD[p, p]*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . \ @@ -148,9 +148,9 @@ CSISD[p] + 2*CVD[p, j3]*CSID[j1] . CSID[j2] . CSID[j4] . CSID[j5] . \ CSISD[p] - 2*CVD[p, j2]*CSID[j1] . CSID[j3] . CSID[j4] . CSID[j5] . \ CSISD[p] + 2*CVD[p, j1]*CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . \ CSISD[p]"}, -{"fcstPauliSimplfyChains-ID15", +{"fcstPauliSimplifyChains-ID15", "PauliSimplify[CSISD[p].CSID[j1,j2,j3,j4,j5,j6,j7].CSISD[p],\ -PauliReduce\[Rule]False,FCE->True]", +FCE->True]", "-(CSPD[p, p]*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] \ . CSID[j6] . CSID[j7]) + 2*CVD[p, j7]*CSID[j1] . CSID[j2] . CSID[j3] \ . CSID[j4] . CSID[j5] . CSID[j6] . CSISD[p] - 2*CVD[p, j6]*CSID[j1] . \ @@ -162,9 +162,9 @@ CSID[j2] . CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . CSISD[p] - \ 2*CVD[p, j2]*CSID[j1] . CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] . \ CSID[j7] . CSISD[p] + 2*CVD[p, j1]*CSID[j2] . CSID[j3] . CSID[j4] . \ CSID[j5] . CSID[j6] . CSID[j7] . CSISD[p]"}, -{"fcstPauliSimplfyChains-ID16", +{"fcstPauliSimplifyChains-ID16", "PauliSimplify[CSISD[p].CSID[j1,j2,j3,j4,j5,j6,j7,j8].CSISD[p],\ -PauliReduce\[Rule]False,FCE->True]", +FCE->True]", "CSPD[p, p]*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . \ CSID[j6] . CSID[j7] . CSID[j8] - 2*CVD[p, j8]*CSID[j1] . CSID[j2] . \ CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . CSISD[p] + \ @@ -179,9 +179,9 @@ CSID[j7] . CSID[j8] . CSISD[p] - 2*CVD[p, j2]*CSID[j1] . CSID[j3] . \ CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . CSID[j8] . CSISD[p] + \ 2*CVD[p, j1]*CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] . \ CSID[j7] . CSID[j8] . CSISD[p]"}, -{"fcstPauliSimplfyChains-ID17", +{"fcstPauliSimplifyChains-ID17", "PauliSimplify[CSISD[p].CSID[j1,j2,j3,j4,j5,j6,j7,j8,j9].CSISD[p],\ -PauliReduce\[Rule]False,FCE->True]", +FCE->True]", "-(CSPD[p, p]*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] \ . CSID[j6] . CSID[j7] . CSID[j8] . CSID[j9]) + 2*CVD[p, j9]*CSID[j1] \ . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . \ @@ -199,9 +199,9 @@ CSID[j9] . CSISD[p] - 2*CVD[p, j2]*CSID[j1] . CSID[j3] . CSID[j4] . \ CSID[j5] . CSID[j6] . CSID[j7] . CSID[j8] . CSID[j9] . CSISD[p] + \ 2*CVD[p, j1]*CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] . \ CSID[j7] . CSID[j8] . CSID[j9] . CSISD[p]"}, -{"fcstPauliSimplfyChains-ID18", +{"fcstPauliSimplifyChains-ID18", "PauliSimplify[CSISD[p].CSID[j1,j2,j3,j4,j5,j6,j7,j8,j9,j10].CSISD[\ -p],PauliReduce\[Rule]False,FCE->True]", +p],FCE->True]", "2*CVD[p, j9]*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] \ . CSID[j6] . CSID[j7] . CSID[j8] . CSID[j10] . CSISD[p] + CSPD[p, \ p]*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] . \ @@ -223,32 +223,29 @@ CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . CSID[j8] . CSID[j9] . \ CSID[j10] . CSISD[p] + 2*CVD[p, j1]*CSID[j2] . CSID[j3] . CSID[j4] . \ CSID[j5] . CSID[j6] . CSID[j7] . CSID[j8] . CSID[j9] . CSID[j10] . \ CSISD[p]"}, -{"fcstPauliSimplfyChains-ID19", -"PauliSimplify[CSI[i,j1,i],PauliReduce\[Rule]False,FCE->True]", +{"fcstPauliSimplifyChains-ID19", +"PauliSimplify[CSI[i,j1,i],FCE->True]", "-CSI[j1]"}, -{"fcstPauliSimplfyChains-ID20", -"PauliSimplify[CSI[i,j1,j2,i],PauliReduce\[Rule]False,FCE->True]", +{"fcstPauliSimplifyChains-ID20", +"PauliSimplify[CSI[i,j1,j2,i],FCE->True]", "CSI[j1] . CSI[j2] + 2*CSI[j2] . CSI[j1]"}, -{"fcstPauliSimplfyChains-ID21", -"PauliSimplify[CSI[i,j1,j2,j3,i],PauliReduce\[Rule]False,FCE->True]\ +{"fcstPauliSimplifyChains-ID21", +"PauliSimplify[CSI[i,j1,j2,j3,i],FCE->True]\ ", "-CSI[j1] . CSI[j2] . CSI[j3] - 2*CSI[j1] . CSI[j3] . CSI[j2] + \ 2*CSI[j2] . CSI[j3] . CSI[j1]"}, -{"fcstPauliSimplfyChains-ID22", -"PauliSimplify[CSI[i,j1,j2,j3,j4,i],PauliReduce\[Rule]False,\ -FCE->True]", +{"fcstPauliSimplifyChains-ID22", +"PauliSimplify[CSI[i,j1,j2,j3,j4,i],FCE->True]", "CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] + 2*CSI[j1] . CSI[j2] . \ CSI[j4] . CSI[j3] - 2*CSI[j1] . CSI[j3] . CSI[j4] . CSI[j2] + \ 2*CSI[j2] . CSI[j3] . CSI[j4] . CSI[j1]"}, -{"fcstPauliSimplfyChains-ID23", -"PauliSimplify[CSI[i,j1,j2,j3,j4,j5,i],PauliReduce\[Rule]False,\ -FCE->True]", +{"fcstPauliSimplifyChains-ID23", +"PauliSimplify[CSI[i,j1,j2,j3,j4,j5,i],FCE->True]", "-CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] - 2*CSI[j1] . \ CSI[j2] . CSI[j3] . CSI[j5] . CSI[j4] + 2*CSI[j1] . CSI[j2] . CSI[j4] \ . CSI[j5] . CSI[j3] - 2*CSI[j1] . CSI[j3] . CSI[j4] . CSI[j5] . \ CSI[j2] + 2*CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j1]"}, -{"fcstPauliSimplfyChains-ID24", -"PauliSimplify[CSI[i,j1,j2,j3,j4,j5,j6,j7,i],PauliReduce\[Rule]\ -False,FCE->True]", +{"fcstPauliSimplifyChains-ID24", +"PauliSimplify[CSI[i,j1,j2,j3,j4,j5,j6,j7,i],FCE->True]", "-CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . \ CSI[j7] - 2*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j7] \ . CSI[j6] + 2*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j6] . \ @@ -257,9 +254,8 @@ CSI[j7] . CSI[j5] - 2*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j5] . CSI[j6] \ CSI[j6] . CSI[j7] . CSI[j3] - 2*CSI[j1] . CSI[j3] . CSI[j4] . CSI[j5] \ . CSI[j6] . CSI[j7] . CSI[j2] + 2*CSI[j2] . CSI[j3] . CSI[j4] . \ CSI[j5] . CSI[j6] . CSI[j7] . CSI[j1]"}, -{"fcstPauliSimplfyChains-ID25", -"PauliSimplify[CSI[i,j1,j2,j3,j4,j5,j6,j7,j8,i],PauliReduce\[Rule]\ -False,FCE->True]", +{"fcstPauliSimplifyChains-ID25", +"PauliSimplify[CSI[i,j1,j2,j3,j4,j5,j6,j7,j8,i],FCE->True]", "CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . \ CSI[j7] . CSI[j8] + 2*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] \ . CSI[j6] . CSI[j8] . CSI[j7] - 2*CSI[j1] . CSI[j2] . CSI[j3] . \ @@ -270,9 +266,8 @@ CSI[j4] . CSI[j5] . CSI[j7] . CSI[j8] . CSI[j6] + 2*CSI[j1] . CSI[j2] \ CSI[j7] . CSI[j8] . CSI[j3] - 2*CSI[j1] . CSI[j3] . CSI[j4] . CSI[j5] \ . CSI[j6] . CSI[j7] . CSI[j8] . CSI[j2] + 2*CSI[j2] . CSI[j3] . \ CSI[j4] . CSI[j5] . CSI[j6] . CSI[j7] . CSI[j8] . CSI[j1]"}, -{"fcstPauliSimplfyChains-ID26", -"PauliSimplify[CSI[i,j1,j2,j3,j4,j5,j6,j7,j8,j9,i],PauliReduce\ -\[Rule]False,FCE->True]", +{"fcstPauliSimplifyChains-ID26", +"PauliSimplify[CSI[i,j1,j2,j3,j4,j5,j6,j7,j8,j9,i],FCE->True]", "-CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . \ CSI[j7] . CSI[j8] . CSI[j9] - 2*CSI[j1] . CSI[j2] . CSI[j3] . CSI[j4] \ . CSI[j5] . CSI[j6] . CSI[j7] . CSI[j9] . CSI[j8] + 2*CSI[j1] . \ @@ -286,38 +281,34 @@ CSI[j7] . CSI[j8] . CSI[j9] . CSI[j3] - 2*CSI[j1] . CSI[j3] . CSI[j4] \ . CSI[j5] . CSI[j6] . CSI[j7] . CSI[j8] . CSI[j9] . CSI[j2] + \ 2*CSI[j2] . CSI[j3] . CSI[j4] . CSI[j5] . CSI[j6] . CSI[j7] . CSI[j8] \ . CSI[j9] . CSI[j1]"}, -{"fcstPauliSimplfyChains-ID27", -"PauliSimplify[CSID[i,j1,i],PauliReduce\[Rule]False,FCE->True]", +{"fcstPauliSimplifyChains-ID27", +"PauliSimplify[CSID[i,j1,i],FCE->True]", "3*CSID[j1] - D*CSID[j1]"}, -{"fcstPauliSimplfyChains-ID28", -"PauliSimplify[CSID[i,j1,j2,i],PauliReduce\[Rule]False,FCE->True]", +{"fcstPauliSimplifyChains-ID28", +"PauliSimplify[CSID[i,j1,j2,i],FCE->True]", "-3*CSID[j1] . CSID[j2] + D*CSID[j1] . CSID[j2] + 2*CSID[j2] . \ CSID[j1]"}, -{"fcstPauliSimplfyChains-ID29", -"PauliSimplify[CSID[i,j1,j2,j3,i],PauliReduce\[Rule]False,\ -FCE->True]", +{"fcstPauliSimplifyChains-ID29", +"PauliSimplify[CSID[i,j1,j2,j3,i],FCE->True]", "3*CSID[j1] . CSID[j2] . CSID[j3] - D*CSID[j1] . CSID[j2] . \ CSID[j3] - 2*CSID[j1] . CSID[j3] . CSID[j2] + 2*CSID[j2] . CSID[j3] . \ CSID[j1]"}, -{"fcstPauliSimplfyChains-ID30", -"PauliSimplify[CSID[i,j1,j2,j3,j4,i],PauliReduce\[Rule]False,\ -FCE->True]", +{"fcstPauliSimplifyChains-ID30", +"PauliSimplify[CSID[i,j1,j2,j3,j4,i],FCE->True]", "-3*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] + D*CSID[j1] . \ CSID[j2] . CSID[j3] . CSID[j4] + 2*CSID[j1] . CSID[j2] . CSID[j4] . \ CSID[j3] - 2*CSID[j1] . CSID[j3] . CSID[j4] . CSID[j2] + 2*CSID[j2] . \ CSID[j3] . CSID[j4] . CSID[j1]"}, -{"fcstPauliSimplfyChains-ID31", -"PauliSimplify[CSID[i,j1,j2,j3,j4,j5,i],PauliReduce\[Rule]False,\ -FCE->True]", +{"fcstPauliSimplifyChains-ID31", +"PauliSimplify[CSID[i,j1,j2,j3,j4,j5,i],FCE->True]", "3*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] - \ D*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] - 2*CSID[j1] . \ CSID[j2] . CSID[j3] . CSID[j5] . CSID[j4] + 2*CSID[j1] . CSID[j2] . \ CSID[j4] . CSID[j5] . CSID[j3] - 2*CSID[j1] . CSID[j3] . CSID[j4] . \ CSID[j5] . CSID[j2] + 2*CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . \ CSID[j1]"}, -{"fcstPauliSimplfyChains-ID32", -"PauliSimplify[CSID[i,j1,j2,j3,j4,j5,j6,j7,i],PauliReduce\[Rule]\ -False,FCE->True]", +{"fcstPauliSimplifyChains-ID32", +"PauliSimplify[CSID[i,j1,j2,j3,j4,j5,j6,j7,i],FCE->True]", "3*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] \ . CSID[j7] - D*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . \ CSID[j6] . CSID[j7] - 2*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . \ @@ -328,9 +319,8 @@ CSID[j2] . CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . CSID[j3] - \ 2*CSID[j1] . CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . \ CSID[j2] + 2*CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] . \ CSID[j7] . CSID[j1]"}, -{"fcstPauliSimplfyChains-ID33", -"PauliSimplify[CSID[i,j1,j2,j3,j4,j5,j6,j7,j8,i],PauliReduce\[Rule]\ -False,FCE->True]", +{"fcstPauliSimplifyChains-ID33", +"PauliSimplify[CSID[i,j1,j2,j3,j4,j5,j6,j7,j8,i],FCE->True]", "-3*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . \ CSID[j6] . CSID[j7] . CSID[j8] + D*CSID[j1] . CSID[j2] . CSID[j3] . \ CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . CSID[j8] + 2*CSID[j1] . \ @@ -344,9 +334,8 @@ CSID[j7] . CSID[j8] . CSID[j3] - 2*CSID[j1] . CSID[j3] . CSID[j4] . \ CSID[j5] . CSID[j6] . CSID[j7] . CSID[j8] . CSID[j2] + 2*CSID[j2] . \ CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . CSID[j8] . \ CSID[j1]"}, -{"fcstPauliSimplfyChains-ID34", -"PauliSimplify[CSID[i,j1,j2,j3,j4,j5,j6,j7,j8,j9,i],PauliReduce\ -\[Rule]False,FCE->True]", +{"fcstPauliSimplifyChains-ID34", +"PauliSimplify[CSID[i,j1,j2,j3,j4,j5,j6,j7,j8,j9,i],FCE->True]", "3*CSID[j1] . CSID[j2] . CSID[j3] . CSID[j4] . CSID[j5] . CSID[j6] \ . CSID[j7] . CSID[j8] . CSID[j9] - D*CSID[j1] . CSID[j2] . CSID[j3] . \ CSID[j4] . CSID[j5] . CSID[j6] . CSID[j7] . CSID[j8] . CSID[j9] - \ diff --git a/Tests/Pauli/PauliTrick.test b/Tests/Pauli/PauliTrick.test index cc32f362e..9c3c928f4 100644 --- a/Tests/Pauli/PauliTrick.test +++ b/Tests/Pauli/PauliTrick.test @@ -36,7 +36,7 @@ Tests`Pauli`fcstPauliTrick = {"fcstPauliTrick-ID14", "PauliTrick[CSISE[p,p]]", "CartesianPair[CartesianMomentum[p, -4 + D], CartesianMomentum[p, -4 + D]]"}, {"fcstPauliTrick-ID15", -"MatchQ[PauliTrick[CSI[i,j]]//Contract,\[IndentingNewLine]CartesianPair[\ +"MatchQ[PauliTrick[CSI[i,j],PauliReduce->True]//Contract,\[IndentingNewLine]CartesianPair[\ CartesianIndex[i],CartesianIndex[j]]+\[ImaginaryI] \ Eps[CartesianIndex[i],CartesianIndex[j],CartesianIndex[a_]] PauliSigma[CartesianIndex[a_]]]", "True"}, @@ -45,18 +45,18 @@ Eps[CartesianIndex[i],CartesianIndex[j],CartesianIndex[a_]] PauliSigma[Cartesian {"fcstPauliTrick-ID17", "PauliTrick[CSI[i,j,i]]//Contract", "-PauliSigma[CartesianIndex[j]]"}, {"fcstPauliTrick-ID18", -"PauliTrick[CSIS[p1].CSI[i].CSIS[p2]]//Contract", +"PauliTrick[CSIS[p1].CSI[i].CSIS[p2],PauliReduce->True]//Contract", "(-I)*Eps[CartesianIndex[i], CartesianMomentum[p1], CartesianMomentum[p2]] - \ CartesianPair[CartesianMomentum[p1], CartesianMomentum[p2]]*PauliSigma[CartesianIndex[i]] + \ CartesianPair[CartesianIndex[i], CartesianMomentum[p2]]*PauliSigma[CartesianMomentum[p1]] + \ CartesianPair[CartesianIndex[i], CartesianMomentum[p1]]*PauliSigma[CartesianMomentum[p2]]"}, -{"fcstPauliTrick-ID19", "PauliTrick[CSI[a,i,b]]//Contract", +{"fcstPauliTrick-ID19", "PauliTrick[CSI[a,i,b],PauliReduce->True]//Contract", "(-I)*Eps[CartesianIndex[a], CartesianIndex[b], CartesianIndex[i]] + CartesianPair[CartesianIndex[b], \ CartesianIndex[i]]*PauliSigma[CartesianIndex[a]] + CartesianPair[CartesianIndex[a], \ CartesianIndex[i]]*PauliSigma[CartesianIndex[b]] - CartesianPair[CartesianIndex[a], \ CartesianIndex[b]]*PauliSigma[CartesianIndex[i]]"}, {"fcstPauliTrick-ID20", -"MatchQ[FCSetPauliSigmaScheme[\"Naive\"]; PauliTrick[CSID[i,j]],\ +"MatchQ[FCSetPauliSigmaScheme[\"Naive\"]; PauliTrick[CSID[i,j],PauliReduce->True],\ \[IndentingNewLine]CartesianPair[CartesianIndex[i,-1+D],CartesianIndex[j,-1+D]]+\[ImaginaryI] \ Eps[CartesianIndex[i,-1+D],CartesianIndex[j,-1+D],CartesianIndex[a_,-1+D]] \ PauliSigma[CartesianIndex[a_,D-1],D-1]]", "True"}, @@ -64,7 +64,7 @@ PauliSigma[CartesianIndex[a_,D-1],D-1]]", "True"}, "FCSetPauliSigmaScheme[\"None\"]; PauliTrick[CSID[i,j]]", "PauliSigma[CartesianIndex[i, -1 + D], -1 + D] . PauliSigma[CartesianIndex[j, -1 + \ D], -1 + D]"}, -{"fcstPauliTrick-ID22", "PauliTrick[CSI[i, j, i], PauliReduce -> False, FCE -> True]", +{"fcstPauliTrick-ID22", "PauliTrick[CSI[i, j, i], FCE -> True]", "-CSI[j]"} }); @@ -112,15 +112,15 @@ CartesianPair[CartesianIndex[k, -1 + D], CartesianMomentum[p, -1 + D]]*PauliSigm -1 + D]]*PauliSigma[CartesianIndex[k, -1 + D], -1 + D] . PauliSigma[CartesianIndex[l, -1 + D], -1 + D] . PauliSigma[CartesianMomentum[p, -1 + D], -1 + D])"}, {"fcstPauliTrickAnticommutator-ID7", -"CSI[i,j,i]//PauliTrick[#,PauliReduce\[Rule]False]&\ +"CSI[i,j,i]//PauliTrick[#]&\ //Contract//Simplify", "-PauliSigma[CartesianIndex[j]]"}, {"fcstPauliTrickAnticommutator-ID8", -"CSI[i,j,k,i]//PauliTrick[#,PauliReduce\[Rule]False]&\ +"CSI[i,j,k,i]//PauliTrick[#]&\ //Contract//Simplify", "PauliSigma[CartesianIndex[j]] . PauliSigma[CartesianIndex[k]] + \ 2*PauliSigma[CartesianIndex[k]] . PauliSigma[CartesianIndex[j]]"}, {"fcstPauliTrickAnticommutator-ID9", -"CSI[i,j,k,l,i]//PauliTrick[#,PauliReduce\[Rule]False]&\ +"CSI[i,j,k,l,i]//PauliTrick[#]&\ //Contract//Simplify", "-PauliSigma[CartesianIndex[j]] . PauliSigma[CartesianIndex[k]] . \ PauliSigma[CartesianIndex[l]] - 2*PauliSigma[CartesianIndex[j]] . \ @@ -128,12 +128,12 @@ PauliSigma[CartesianIndex[l]] . PauliSigma[CartesianIndex[k]] + \ 2*PauliSigma[CartesianIndex[k]] . PauliSigma[CartesianIndex[l]] . \ PauliSigma[CartesianIndex[j]]"}, {"fcstPauliTrickAnticommutator-ID10", -"CSIS[p].CSI[j].CSIS[p]//PauliTrick[#,PauliReduce\[Rule]False]&\ +"CSIS[p].CSI[j].CSIS[p]//PauliTrick[#]&\ //Contract//Simplify", "-(CartesianPair[CartesianMomentum[p], CartesianMomentum[p]]*PauliSigma[CartesianIndex[j]]) + \ 2*CartesianPair[CartesianIndex[j], CartesianMomentum[p]]*PauliSigma[CartesianMomentum[p]]"}, {"fcstPauliTrickAnticommutator-ID11", -"CSIS[p].CSI[j,k].CSIS[p]//PauliTrick[#,PauliReduce\[Rule]False]&\ +"CSIS[p].CSI[j,k].CSIS[p]//PauliTrick[#]&\ //Contract//Simplify", "CartesianPair[CartesianMomentum[p], CartesianMomentum[p]]*PauliSigma[CartesianIndex[j]] . \ PauliSigma[CartesianIndex[k]] - 2*CartesianPair[CartesianIndex[k], \ @@ -141,7 +141,7 @@ CartesianMomentum[p]]*PauliSigma[CartesianIndex[j]] . PauliSigma[CartesianMoment 2*CartesianPair[CartesianIndex[j], CartesianMomentum[p]]*PauliSigma[CartesianIndex[k]] . \ PauliSigma[CartesianMomentum[p]]"}, {"fcstPauliTrickAnticommutator-ID12", -"CSIS[p].CSI[j,k,l].CSIS[p]//PauliTrick[#,PauliReduce\[Rule]False]&\ +"CSIS[p].CSI[j,k,l].CSIS[p]//PauliTrick[#]&\ //Contract//Simplify", "-(CartesianPair[CartesianMomentum[p], CartesianMomentum[p]]*PauliSigma[CartesianIndex[j]] . \ PauliSigma[CartesianIndex[k]] . PauliSigma[CartesianIndex[l]]) + 2*CartesianPair[CartesianIndex[l], \ @@ -152,18 +152,15 @@ PauliSigma[CartesianMomentum[p]] + 2*CartesianPair[CartesianIndex[j], \ CartesianMomentum[p]]*PauliSigma[CartesianIndex[k]] . PauliSigma[CartesianIndex[l]] . \ PauliSigma[CartesianMomentum[p]]"}, {"fcstPauliTrickAnticommutator-ID13", -"Contract[PauliTrick[PauliTrick[CSI[i,j,i],PauliReduce\[Rule]False]\ +"Contract[PauliTrick[PauliTrick[CSI[i,j,i]]\ -CSI[i,j,i]]]//FCCanonicalizeDummyIndices//EpsEvaluate", "0"}, {"fcstPauliTrickAnticommutator-ID14", -"Contract[PauliTrick[PauliTrick[CSI[i,j,k,i],PauliReduce\[Rule]\ -False]-CSI[i,j,k,i]]]//FCCanonicalizeDummyIndices//EpsEvaluate", +"Contract[PauliTrick[PauliTrick[CSI[i,j,k,i]]-CSI[i,j,k,i]]]//FCCanonicalizeDummyIndices//EpsEvaluate", "0"}, {"fcstPauliTrickAnticommutator-ID15", -"Contract[PauliTrick[PauliTrick[CSI[i,j,k,l,i],PauliReduce\[Rule]\ -False]-CSI[i,j,k,l,i]]]//FCCanonicalizeDummyIndices//EpsEvaluate", +"Contract[PauliTrick[PauliTrick[CSI[i,j,k,l,i]]-CSI[i,j,k,l,i]]]//FCCanonicalizeDummyIndices//EpsEvaluate", "0"}, {"fcstPauliTrickAnticommutator-ID16", -"Contract[PauliTrick[PauliTrick[CSIS[p].CSI[j].CSIS[p],PauliReduce\ -\[Rule]False]-CSIS[p].CSI[j].CSIS[p]]]\ +"Contract[PauliTrick[PauliTrick[CSIS[p].CSI[j].CSIS[p]]-CSIS[p].CSI[j].CSIS[p]]]\ //FCCanonicalizeDummyIndices//EpsEvaluate", "0"} }); From bc067a35c9e2d44b12d249a6f03e122fec0195b7 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 22 Mar 2020 17:23:15 +0100 Subject: [PATCH 34/86] Improved Contract for cartesian Eps tensors. --- FeynCalc/Lorentz/Contract.m | 65 +++++++++++++++++++------------------ Tests/Lorentz/Contract.test | 4 ++- 2 files changed, 37 insertions(+), 32 deletions(-) diff --git a/FeynCalc/Lorentz/Contract.m b/FeynCalc/Lorentz/Contract.m index 623d2795e..642b9d0c7 100755 --- a/FeynCalc/Lorentz/Contract.m +++ b/FeynCalc/Lorentz/Contract.m @@ -76,7 +76,7 @@ exp2 should be the product (or expanded sum) of the polarization \ FCPrint[1,"Contract: Contract3: Entering.", FCDoControl->cnVerbose]; - FCPrint[3,"Contract: Contract3: Entering with:", expr, FCDoControl->cnVerbose]; + FCPrint[3,"Contract: Contract3: Entering with: ", expr, FCDoControl->cnVerbose]; If[ !FreeQ2[ex, {DiracGamma,DiracChain,Eps}], FCPrint[1,"Contract: Contract3: Expression contains DiracGamma or Eps. Passing to Contract.", FCDoControl->cnVerbose]; @@ -111,8 +111,8 @@ exp2 should be the product (or expanded sum) of the polarization \ ]; FCPrint[1,"Contract: Contract3: Splitting done. Timing: ", N[AbsoluteTime[] - time, 4] , FCDoControl->cnVerbose]; - FCPrint[3,"Contract: Contract3: Part free of Lorentz indices:", nonli, FCDoControl->cnVerbose]; - FCPrint[3,"Contract: Contract3: Part with Lorentz indices:", lipa, FCDoControl->cnVerbose]; + FCPrint[3,"Contract: Contract3: Part free of Lorentz indices: ", nonli, FCDoControl->cnVerbose]; + FCPrint[3,"Contract: Contract3: Part with Lorentz indices: ", lipa, FCDoControl->cnVerbose]; @@ -127,7 +127,7 @@ exp2 should be the product (or expanded sum) of the polarization \ res = nec nonli; FCPrint[1,"Contract: Contract3: Leaving.", FCDoControl->cnVerbose]; - FCPrint[3,"Contract: Contract3: Leaving with:",res, FCDoControl->cnVerbose]; + FCPrint[3,"Contract: Contract3: Leaving with: ",res, FCDoControl->cnVerbose]; Return[res] ]; @@ -476,8 +476,8 @@ exp2 should be the product (or expanded sum) of the polarization \ True, tmpFin = cartesianContract[tmp,z] ]; - FCPrint[1,"Contract: mainContract done, timing: ", N[AbsoluteTime[] - time, 4] , FCDoControl->cnVerbose]; - FCPrint[3, "Contract: After mainContract: ", tmpFin, FCDoControl->cnVerbose], + FCPrint[1,"Contract: cartesianContract done, timing: ", N[AbsoluteTime[] - time, 4] , FCDoControl->cnVerbose]; + FCPrint[3, "Contract: After cartesianContract: ", tmpFin, FCDoControl->cnVerbose], tmpFin = tmp ]; @@ -505,22 +505,23 @@ exp2 should be the product (or expanded sum) of the polarization \ FCPrint[1,"Contract: Expansion done: ", N[AbsoluteTime[] - time, 4] , FCDoControl->cnVerbose]; ]; - If[ !FreeQ[tmpFin, Eps], - time=AbsoluteTime[]; + + + If[ !FreeQ[tmpFin, Eps], FCPrint[1,"Contract: Applying EpsEvaluate.", FCDoControl->cnVerbose]; - If[ !FreeQ[tmpFin, Eps], - tmpFin = EpsEvaluate[tmpFin,FCI->True]; - ]; + tmpFin = EpsEvaluate[tmpFin,FCI->True]; + FCPrint[3,"Contract: After EpsEvaluate: ", tmpFin, FCDoControl->cnVerbose]; + ]; - If[ renameOpt, - time=AbsoluteTime[]; - FCPrint[1,"Contract: Renaming dummy indices in epsilon tensors.", FCDoControl->cnVerbose]; - tmpFin = doubleindex[Expand2[ EpsEvaluate[tmpFin,FCI->True], Eps]]; - FCPrint[1,"Contract: Renaming done: ", N[AbsoluteTime[] - time, 4] , FCDoControl->cnVerbose]; - ] + If[ renameOpt && !FreeQ[tmpFin, Eps], + time=AbsoluteTime[]; + FCPrint[1,"Contract: Renaming dummy indices in epsilon tensors.", FCDoControl->cnVerbose]; + tmpFin = doubleindex[Expand2[ EpsEvaluate[tmpFin,FCI->True], Eps]]; + FCPrint[1,"Contract: Renaming done: ", N[AbsoluteTime[] - time, 4] , FCDoControl->cnVerbose]; ]; + If[ epsContractOpt, time=AbsoluteTime[]; FCPrint[1,"Contract: Contracting epsilon tensors.", FCDoControl->cnVerbose]; @@ -568,19 +569,6 @@ exp2 should be the product (or expanded sum) of the polarization \ ]; - If[ epsContractOpt, - time=AbsoluteTime[]; - FCPrint[1,"Contract: Applying EpsEvaluate.", FCDoControl->cnVerbose]; - If[ !FreeQ[tmpFin, Eps], - tmpFin = EpsEvaluate[tmpFin,FCI->True]; - ]; - If[ !FreeQ[noDummy, Eps], - noDummy = EpsEvaluate[noDummy,FCI->True]; - ]; - FCPrint[1,"Contract: EpsEvaluate done: ", N[AbsoluteTime[] - time, 4] , FCDoControl->cnVerbose]; - ]; - - If[ !FreeQ[tmpFin,Pair] && !DummyIndexFreeQ[tmpFin,{LorentzIndex,CartesianIndex}], time=AbsoluteTime[]; FCPrint[1,"Contract: Applying PairContract.", FCDoControl->cnVerbose]; @@ -598,6 +586,21 @@ exp2 should be the product (or expanded sum) of the polarization \ FCPrint[1,"Contract: CartesianPairContract done: ", N[AbsoluteTime[] - time, 4] , FCDoControl->cnVerbose]; ]; + + If[ epsContractOpt, + time=AbsoluteTime[]; + FCPrint[1,"Contract: Applying EpsEvaluate.", FCDoControl->cnVerbose]; + If[ !FreeQ[tmpFin, Eps], + tmpFin = EpsEvaluate[tmpFin,FCI->True]; + FCPrint[3,"Contract: After EpsEvaluate: ", tmpFin, FCDoControl->cnVerbose]; + ]; + If[ !FreeQ[noDummy, Eps], + noDummy = EpsEvaluate[noDummy,FCI->True]; + FCPrint[3,"Contract: After EpsEvaluate: ", noDummy, FCDoControl->cnVerbose]; + ]; + FCPrint[1,"Contract: EpsEvaluate done: ", N[AbsoluteTime[] - time, 4] , FCDoControl->cnVerbose]; + ]; + (*Here we can unite the two*) tmpFin = tmpFin + noDummy; @@ -631,7 +634,7 @@ exp2 should be the product (or expanded sum) of the polarization \ ]; FCPrint[1, "Contract: Leaving. ", FCDoControl->cnVerbose]; - FCPrint[3, "Contract: Leaving with :", res, FCDoControl->cnVerbose]; + FCPrint[3, "Contract: Leaving with : ", res, FCDoControl->cnVerbose]; res ]/; Head[expr]=!=List; diff --git a/Tests/Lorentz/Contract.test b/Tests/Lorentz/Contract.test index cb81c66a1..bc1416725 100644 --- a/Tests/Lorentz/Contract.test +++ b/Tests/Lorentz/Contract.test @@ -357,7 +357,9 @@ Tests`Lorentz`fcstContractCartesian = { {"fcstContractCartesian-ID1","FCE[Contract[FVD[v1, mu] FVD[v2, nu] Pair[LorentzIndex[mu], CartesianIndex[i]] Pair[ LorentzIndex[nu], CartesianIndex[i]]]]","CSP[v1, v2]"}, {"fcstContractCartesian-ID2","Contract[3 +I CLC[i, j,aa] (CSI[j] KD[i, aa] + I CLC[aa, i, bb] (I CLC[bb, j, cc] CSI[cc] + KD[j, bb]))]","-3"}, {"fcstContractCartesian-ID3","Simplify[LorentzToCartesian[ -Contract[LC[0][p1, p2, p3] LC[0][q1, q2, q3]]] - Contract[EpsEvaluate[LC[0][p1, p2, p3] LC[0][q1, q2, q3]]]]","0"} +Contract[LC[0][p1, p2, p3] LC[0][q1, q2, q3]]] - Contract[EpsEvaluate[LC[0][p1, p2, p3] LC[0][q1, q2, q3]]]]","0"}, +{"fcstContractCartesian-ID4","Contract[CLC[i2, a, i1] KD[b, i1] KD[c, i2] -CLC[i1, a, i3] CLC[i3, b, i4] CLC[i4, c, i2] KD[i1, i2],FCE -> True]", +"2 CLC[a, b, c]"} } From 670e65d8cd5277f8fc965b886ef0bdd769e0ce79 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Mon, 23 Mar 2020 21:08:44 +0100 Subject: [PATCH 35/86] Added support for Pauli trace calculations in 3 dimensions. --- FeynCalc/Dirac/DiracTrick.m | 15 +- FeynCalc/FCMain.m | 2 +- FeynCalc/Pauli/PauliSimplify.m | 21 +- FeynCalc/Pauli/PauliTrace.m | 618 ++++++++++++++++++++++++++++++++ FeynCalc/Pauli/PauliTrick.m | 169 ++++++--- FeynCalc/Shared/SharedOptions.m | 9 + Tests/Pauli/Pauli.mt | 37 +- Tests/Pauli/PauliTrace.test | 468 ++++++++++++++++++++++++ Tests/Pauli/PauliTrick.test | 39 ++ 9 files changed, 1281 insertions(+), 97 deletions(-) create mode 100755 FeynCalc/Pauli/PauliTrace.m create mode 100644 Tests/Pauli/PauliTrace.test diff --git a/FeynCalc/Dirac/DiracTrick.m b/FeynCalc/Dirac/DiracTrick.m index 8ffc1ba03..97ca73fd2 100755 --- a/FeynCalc/Dirac/DiracTrick.m +++ b/FeynCalc/Dirac/DiracTrick.m @@ -128,9 +128,6 @@ create replacement rules (standard) and substitute the results back. *) - optJoin = OptionValue[FCJoinDOTs]; - optFCDiracIsolate = OptionValue[FCDiracIsolate]; - If [OptionValue[FCVerbose]===False, diTrVerbose=$VeryVerbose, If[MatchQ[OptionValue[FCVerbose], _Integer], @@ -138,6 +135,12 @@ create replacement rules (standard) and substitute the results back. ]; ]; + + optJoin = OptionValue[FCJoinDOTs]; + optFCDiracIsolate = OptionValue[FCDiracIsolate]; + insideDiracTrace = OptionValue[InsideDiracTrace]; + + FCPrint[1, "DiracTrick. Entering.", FCDoControl->diTrVerbose]; FCPrint[3, "DiracTrick: Entering with ", expr, FCDoControl->diTrVerbose]; @@ -146,17 +149,13 @@ create replacement rules (standard) and substitute the results back. ex = FCI[expr] ]; - If[ OptionValue[InsideDiracTrace], - insideDiracTrace = True, - insideDiracTrace = False - ]; + If[ FreeQ2[ex,DiracHeadsList], Return[ex] ]; - If[ optFCDiracIsolate===True || Head[optFCDiracIsolate]===List, (* This is the standard mode for calling DiracTrick *) FCPrint[1,"DiracTrick: Normal mode.", FCDoControl->diTrVerbose]; diff --git a/FeynCalc/FCMain.m b/FeynCalc/FCMain.m index 81acaf5aa..4d85e7597 100644 --- a/FeynCalc/FCMain.m +++ b/FeynCalc/FCMain.m @@ -329,7 +329,7 @@ other package before FeynCalc is loaded (monkey patching). The value \ tensor. The latter is not a well-defined quantity in D-1 dimensions. \ Following schemes are supported: \ -\"None\" - This is the default value. The anticommutator relation is not \ +\"None\" - This is the default value. The commutator relation is not \ applied to D-1 dimensional Pauli matrices. \"Naive\" - Naively apply the commutator relation in D-1-dimensions, i.e. \ diff --git a/FeynCalc/Pauli/PauliSimplify.m b/FeynCalc/Pauli/PauliSimplify.m index fe6ff340e..f070f8fa3 100755 --- a/FeynCalc/Pauli/PauliSimplify.m +++ b/FeynCalc/Pauli/PauliSimplify.m @@ -34,7 +34,7 @@ Begin["`PauliSimplify`Private`"] psVerbose::usage=""; -(*optInsidePauliTrace::usage="";*) +optInsidePauliTrace::usage=""; optExpanding::usage=""; optExpandScalarProduct::usage=""; optPauliSigmaCombine::usage=""; @@ -58,10 +58,11 @@ FCPauliIsolate -> True, FCVerbose -> False, Factoring -> False, + InsidePauliTrace -> False, PauliOrder -> False, PauliReduce -> False, - PauliSigmaCombine -> False - (*PauliTraceEvaluate -> True,*) + PauliSigmaCombine -> False, + PauliTraceEvaluate -> True }; PauliSimplify[expr_, OptionsPattern[]] := @@ -82,7 +83,7 @@ optExpandScalarProduct = OptionValue[ExpandScalarProduct]; optExpanding = OptionValue[Expanding]; optPauliReduce = OptionValue[PauliReduce]; - (*optInsidePauliTrace = OptionValue[InsidePauliTrace];*) + optInsidePauliTrace = OptionValue[InsidePauliTrace]; If[ OptionValue[Factoring] === Automatic, @@ -140,7 +141,7 @@ pauliObjectsEval = pauliObjects; FCPrint[3,"PauliSimplify: pauliObjects: ", pauliObjects , FCDoControl->psVerbose]; - (* + If[ OptionValue[PauliTraceEvaluate], time=AbsoluteTime[]; FCPrint[1, "PauliSimplify: Calculating Pauli traces.", FCDoControl->psVerbose]; @@ -150,13 +151,13 @@ FCPrint[3,"PauliSimplify: pauliObjects after calcuating Pauli traces: ", pauliObjects , FCDoControl->psVerbose] ]; - *) + time=AbsoluteTime[]; FCPrint[1, "PauliSimplify: Applying pauliSimplifyEval", FCDoControl->psVerbose]; pauliObjectsEval = FeynCalc`Package`pauliTrickEvalFastFromPauliSimplifyList[(pauliObjectsEval/.psHead->Identity), - {False,False(*optInsidePauliTrace,optPauliOrder*)}]; + {optInsidePauliTrace,optPauliOrder}]; pauliObjectsEval = pauliSimplifyEval/@pauliObjectsEval; @@ -179,7 +180,7 @@ from internal functions *) FCPrint[1,"PauliSimplify: Fast mode.", FCDoControl->psVerbose]; - tmp = FeynCalc`Package`pauliTrickEvalFastFromPauliSimplifySingle[ex, {tmpHead,False,False(* optInsidePauliTrace,optPauliOrder*)}]; + tmp = FeynCalc`Package`pauliTrickEvalFastFromPauliSimplifySingle[ex, {tmpHead,False, optInsidePauliTrace,optPauliOrder}]; (* It might happen that after pauliTrickEvalFast there are no Pauli matrices left.*) @@ -244,7 +245,7 @@ If[ !FreeQ[tmp, PauliSigma], time=AbsoluteTime[]; FCPrint[1,"PauliSimplify: pauliSimplifyEval: Applying PauliTrick.", FCDoControl->psVerbose]; - tmp = PauliTrick[tmp, FCI -> True, (*InsidePauliTrace-> optInsidePauliTrace,*) FCPauliIsolate->False, PauliReduce->optPauliReduce]; + tmp = PauliTrick[tmp, FCI -> True, InsidePauliTrace-> optInsidePauliTrace, FCPauliIsolate->False, PauliReduce->optPauliReduce]; FCPrint[1,"PauliSimplify: pauliSimplifyEval: PauliTrick done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->psVerbose]; FCPrint[3,"PauliSimplify: pauliSimplifyEval: After PauliTrick: ", tmp, FCDoControl->psVerbose] ]; @@ -285,7 +286,7 @@ time2=AbsoluteTime[]; FCPrint[1,"PauliSimplify: pauliSimplifyEval: Applying PauliTrick.", FCDoControl->psVerbose]; - tmp = PauliTrick[tmp, FCI -> True, (*InsidePauliTrace-> optInsidePauliTrace,*) FCJoinDOTs->False, PauliReduce->optPauliReduce]; + tmp = PauliTrick[tmp, FCI -> True, InsidePauliTrace-> optInsidePauliTrace, FCJoinDOTs->False, PauliReduce->optPauliReduce]; FCPrint[1,"PauliSimplify: pauliSimplifyEval: PauliTrick done, timing: ", N[AbsoluteTime[] - time2, 4], FCDoControl->psVerbose]; FCPrint[3,"PauliSimplify: pauliSimplifyEval: After PauliTrick: ", tmp, FCDoControl->psVerbose]; ]; diff --git a/FeynCalc/Pauli/PauliTrace.m b/FeynCalc/Pauli/PauliTrace.m new file mode 100755 index 000000000..36f670a72 --- /dev/null +++ b/FeynCalc/Pauli/PauliTrace.m @@ -0,0 +1,618 @@ +(* ::Package:: *) + +(* ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ *) + +(* :Title: PauliTrace *) + +(* + This software is covered by the GNU General Public License 3. + Copyright (C) 1990-2020 Rolf Mertig + Copyright (C) 1997-2020 Frederik Orellana + Copyright (C) 2014-2020 Vladyslav Shtabovenko +*) + +(* :Summary: Pauli trace calculation *) + +(* ------------------------------------------------------------------------ *) + + +PauliTrace::usage = +"PauliTrace[exp] is the head of Pauli traces. \ +By default the trace is not evaluated. The evaluation occurs only when \ +the option PauliTraceEvaluate is set to True. It is recommended to use \ +PauliSimplify, which will automatically evaluate all Pauli traces in the \ +input expression."; + +PauliTrace::failmsg = +"Error! PauliTrace has encountered a fatal problem and must abort the computation. \ +The problem reads: `1`" + +PauliTrace::mixmsg = "Expressions that mix D-, 4- and D-4-dimensional quantities are currently +unsupported." + +(* ------------------------------------------------------------------------ *) + +Begin["`Package`"] +End[] + +Begin["`PauliTrace`Private`"] + +paTrVerbose::usage=""; +west::usage=""; +unitMatrixTrace::usage=""; +traceEvenFun::usage=""; +traceOddFun::usage=""; +noSpur::usage=""; +leviCivitaSign::usage=""; +optSort::usage=""; + +Options[PauliTrace] = { + Contract -> True, + PauliTraceEvaluate -> False, + EpsContract -> False, + Expand -> True, + FCPauliIsolate -> True, + FCVerbose -> False, + Factoring -> Automatic, + FCDiracIsolate -> True, + FeynCalcExternal -> False, + FeynCalcInternal -> False, + PairCollect -> False, + PauliTraceEvaluate -> False, + Sort -> True, + TraceOfOne -> 2 +}; + + +PauliTrace /: + MakeBoxes[PauliTrace[expr__, OptionsPattern[]], TraditionalForm]:= + RowBox[{"tr","(",TBox[expr], ")"}] + +PauliTrace[0, OptionsPattern[]] := + 0; + +PauliTrace[expr_, op:OptionsPattern[]] := + Block[{ paTres, ex, tr1, tr2, tr3, time, psHead, pauliObjects, + pauliObjectsEval, null1, null2, freePart, psPart, repRule, + paTr, holdDOT, insidePauliTrace}, + + + If [OptionValue[FCVerbose]===False, + paTrVerbose=$VeryVerbose, + If[MatchQ[OptionValue[FCVerbose], _Integer], + paTrVerbose=OptionValue[FCVerbose] + ]; + ]; + + unitMatrixTrace = OptionValue[TraceOfOne]; + optSort = OptionValue[Sort]; + + FCPrint[1, "PauliTrace. Entering.", FCDoControl->paTrVerbose]; + FCPrint[3, "PauliTrace: Entering with ", expr, FCDoControl->paTrVerbose]; + + + If[ OptionValue[FCI], + ex = expr, + ex = FCI[expr] + ]; + + (* Doing contractions can often simplify the underlying expression *) + time=AbsoluteTime[]; + + If[ OptionValue[Contract]=!=False && !DummyIndexFreeQ[ex,{LorentzIndex,CartesianIndex}], + FCPrint[1, "PauliTrace. Applying Contract.", FCDoControl->paTrVerbose]; + ex = Contract[ex, Expanding->True, EpsContract-> OptionValue[EpsContract], Factoring->False]; + FCPrint[1,"PauliTrace: Contract done, timing: ", N[AbsoluteTime[] - time, 4] , FCDoControl->paTrVerbose] + ]; + + + If[ OptionValue[FCPauliIsolate], + FCPrint[1, "PauliTrace: Standard mode.", FCDoControl->paTrVerbose]; + (* First of all we need to extract all the Pauli structures inside the trace. *) + ex = FCPauliIsolate[ex,FCI->True,Head->psHead, (*Spinor->False,*) PauliTrace -> False]; + ex = ex /. PauliTrace -> paTr; + + + {freePart,psPart} = FCSplit[ex,{psHead}]; + FCPrint[3,"PauliTrace: psPart: ",psPart , FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: freePart: ",freePart , FCDoControl->paTrVerbose]; + If [ psPart=!=0, + (* Check that there is only one psHead per term and no nested dsHeads *) + Scan[ + If[ !MatchQ[#, a_. psHead[b_]/; (FreeQ[{a,b}, psHead] && !FreeQ[b,PauliSigma])], + Message[PauliTrace::failmsg, "Irregular trace structure in", InputForm[#]]; + Print[#]; + Abort[] + ]&, psPart+psHead[PauliSigma] ]; + ]; + + (* Now it is guaranteed that psPart is of the form a*psHead[x]+b*psHead[y]+c*psHead[z]+... + So it is safe to extract all the psHead objects and handle them separately *) + pauliObjects = Cases[psPart+null1+null2, psHead[_], Infinity]//Union, + + + FCPrint[1, "PauliTrace: Fast mode.", FCDoControl->paTrVerbose]; + (* Fast mode for simple traces *) + If[ !FreeQ[ex,PauliSigma], + freePart=0; + psPart=psHead[ex]/. PauliTrace -> paTr; + pauliObjects = {psPart}, + + freePart=ex; + psPart=0; + pauliObjects = {} + ]; + + + + ]; + + time=AbsoluteTime[]; + FCPrint[1, "PauliTrace. Applying pauliTrickEvalFast.", FCDoControl->paTrVerbose]; + + (* Here we try to compute some very simple traces in a faster way *) + + insidePauliTrace = FeynCalc`PauliTrick`Private`insidePauliTrace; + FeynCalc`PauliTrick`Private`insidePauliTrace = True; + + pauliObjectsEval = Map[FeynCalc`PauliTrick`Private`pauliTrickEvalFast[#]&, (pauliObjects/.psHead->Identity)] /. FeynCalc`PauliTrick`Private`pauliTrickEvalFast->Identity; + + FeynCalc`PauliTrick`Private`insidePauliTrace = insidePauliTrace; + + + FCPrint[1,"PauliTrace: After pauliTrickEvalFast: ", pauliObjectsEval, FCDoControl->paTrVerbose]; + + pauliObjectsEval = Map[pauliTraceEvaluate[#, Flatten[Join[{op}, FilterRules[Options[PauliTrace], Except[{op}]]]]]&, + pauliObjectsEval]; + + pauliObjectsEval = pauliObjectsEval/. noSpur[x__]:> paTr[DOT[x]]/unitMatrixTrace; + + FCPrint[1,"PauliTrace: pauliTraceEvaluate finished, timing: ", N[AbsoluteTime[] - time, 4] , FCDoControl->paTrVerbose]; + + repRule = Thread[Rule[pauliObjects,pauliObjectsEval]]; + FCPrint[3,"PauliTrace: repRule: ",repRule , FCDoControl->paTrVerbose]; + + If[ !FreeQ[freePart,DOT], + freePart = freePart /. DOT->holdDOT /. holdDOT[a__]/;NonCommFreeQ[{a}] :> Times[a] /. holdDOT -> DOT + ]; + + tr3 = (unitMatrixTrace freePart) + ( psPart /. Dispatch[repRule]); + + + If [OptionValue[FeynCalcExternal], + paTres = FCE[tr3], + paTres = tr3 + ]; + + If[ !FreeQ[paTres/. paTr[_]:>1 ,PauliSigma], + Message[PauliTrace::failmsg,"The output still contains Pauli matrices"]; + Abort[] + ]; + paTres = paTres/. paTr->PauliTrace; + + paTrVerbose=$VeryVerbose; + + FCPrint[1, "PauliTrace: Leaving.", FCDoControl->paTrVerbose]; + FCPrint[3, "PauliTrace: Leaving with", paTres, FCDoControl->paTrVerbose]; + + paTres + ]/; OptionValue[PauliTraceEvaluate]; + + +pauliTraceEvaluate[expr_/;FreeQ[expr,PauliSigma], OptionsPattern[]] := + unitMatrixTrace expr; + +pauliTraceEvaluate[expr_/;!FreeQ[expr,PauliSigma], opts:OptionsPattern[]] := + Block[ { paulitrres, tmp = expr, paulitrfact, + paulitrcoll, + ptmp,pWrap,wrapRule,prepSpur,time,time2,contract,spurHeadList,spurHeadListOdd,spurHeadListEven, + sigmaFree,sigmaPart, + traceListOdd,traceListEven,repRule,null1,null2,dummyIndexFreeQ}, + + wrapRule = {pWrap[a:(_Momentum | _LorentzIndex),d___]->PauliSigma[a,d], + pWrap[(_CartesianMomentum | _CartesianIndex),___]->0}; + + paulitrfact = OptionValue[PauliTrace,{opts},Factoring]; + paulitrcoll = OptionValue[PauliTrace,{opts},PairCollect]; + contract = OptionValue[PauliTrace,{opts},Contract]; + + If[ paulitrfact === Automatic, + paulitrfact = Function[x, If[ LeafCount[x] < 5000, + Factor[x], + x + ]]; + ]; + + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Entering", FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: Entering with: ",expr, FCDoControl->paTrVerbose]; + + (* Even before we compute the trace, we can already decide if the expression contains dummy + indices. It is clearly better to do it here, while the expression is still in the most + compact form! *) + time=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Checking if there are indices that need to be contracted. ", FCDoControl->paTrVerbose]; + dummyIndexFreeQ = DummyIndexFreeQ[tmp,{LorentzIndex,CartesianIndex}]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Check done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose]; + + + + + time=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Applying PauliTrick.", FCDoControl->paTrVerbose]; + tmp = PauliTrick[tmp, FCI -> True, InsidePauliTrace->True, FCPauliIsolate->False]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: PauliTrick done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: After PauliTrick: ", tmp, FCDoControl->paTrVerbose]; + + + time=AbsoluteTime[]; + If[ !FreeQ[tmp, PauliSigma], + (* If the output of PauliTrick still contains Pauli matrices, apply DotSimplify and use PauliTrick again *) + (* We need to consider standalone Pauli matrices separately: With the following all of them will be wrapped inside pWrap *) + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Calculating the trace.", FCDoControl->paTrVerbose]; + + + time2=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Applying Dotsimplify.", FCDoControl->paTrVerbose]; + tmp = DotSimplify[tmp, Expanding -> True]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Dotsimplify done, timing: ", N[AbsoluteTime[] - time2, 4], FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: After Dotsimplify: ", tmp, FCDoControl->paTrVerbose]; + + + time2=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Applying PauliTrick.", FCDoControl->paTrVerbose]; + tmp = PauliTrick[tmp, FCI -> True, InsidePauliTrace->True, FCJoinDOTs->False]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: PauliTrick done, timing: ", N[AbsoluteTime[] - time2, 4], FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: After PauliTrick: ", tmp, FCDoControl->paTrVerbose]; + + tmp = tmp /. {PauliSigma -> pWrap} /. DOT -> prepSpur; + tmp = tmp /. prepSpur[zzz__] :> spurHead@@({zzz} /. {pWrap -> PauliSigma}); + FCPrint[3,"PauliTrace: pauliTraceEvaluate: Wrapped in spurHead: ",tmp, FCDoControl->paTrVerbose]; + + + (* Unknown non-commutative objects inside the trace prevent trace from being computed *) + tmp = tmp/. spurHead[x__]/; !NonCommFreeQ[{x}/.PauliSigma->null1] :> noSpur[x]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: Trace contains unknown non-commutative objects: ", !FreeQ[tmp, noSpur], FCDoControl->paTrVerbose]; + + (* At the moment traces of si^mu are not implemented! *) + tmp = tmp/. spurHead[x__]/; !FreeQ2[{x}, {Momentum,LorentzIndex}] :> noSpur[x]; + + + + (* Sort the matrices in the traces canonically using the cyclicity of the trace*) + + If[ optSort, + time2=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Applying the cyclicity of the trace to sort the matrices canonically.", FCDoControl->paTrVerbose]; + tmp = tmp /. spurHead[x__]/;(FCGetDimensions[{x}]==={3})-> orderSpurHead[x]; + + If[ !FreeQ[tmp,orderSpurHead], + Message[PauliTrace::failmsg,"Sorting matrices inside Pauli traces failed."]; + Abort[] + ]; + + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Done sorting matrices canonically, timing:", N[AbsoluteTime[] - time2, 4], FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: After sorting matrices canonically: ", tmp, FCDoControl->paTrVerbose] + ]; + + (* After all the simplifications we need to split terms that still containd Pauli matrices from those that don't. *) + {sigmaFree,sigmaPart} = FCSplit[tmp,{spurHead}]; + + FCPrint[3,"PauliTrace: pauliTraceEvaluate: sigmaFree: ", sigmaFree, FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: sigmaPart: ", sigmaPart, FCDoControl->paTrVerbose]; + + If [ sigmaPart=!=0, + (* Check that there is only one spurHead per term and no nested spurHead *) + Scan[ + If[ !MatchQ[#, a_. spurHead[b__]/; (FreeQ[{a,b}, spurHead] && !FreeQ[{b},PauliSigma])], + Message[PauliTrace::failmsg, "Irregular trace structure in ", ToString[#,InputForm]]; + Abort[] + ]&, sigmaPart+spurHead[PauliSigma] + ]; + ]; + + (* Now it is guaranteed that sigmaPart is of the form a*spurHead[x]+b*spurHead[y]+c*spurHead[z]+... + So it is safe to extract all the spurHead objects and handle them separately *) + spurHeadList = Cases[sigmaPart+null1+null2, spurHead[__], Infinity]//Union; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: spurHeadList", spurHeadList, FCDoControl->paTrVerbose]; + + (* Check that all traces have the correct form *) + Scan[ + If[ !MatchQ[#, spurHead[PauliSigma[_[_,___],___]...]], + Message[PauliTrace::failmsg,"Traces are not in the proper form."]; + Abort[] + ]&, spurHeadList]; + + (* Separate odd and even traces *) + spurHeadListOdd = Select[spurHeadList,OddQ[Length[#]]&]; + spurHeadListEven = Complement[spurHeadList,spurHeadListOdd]; + + FCPrint[3,"PauliTrace: pauliTraceEvaluate: spurHeadListOdd: ", spurHeadListOdd, FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: spurHeadListEven: ", spurHeadListEven, FCDoControl->paTrVerbose]; + + If[spurHeadList =!= Union[Join[spurHeadListOdd,spurHeadListEven]], + Message[PauliTrace::failmsg,"Splitting between odd and even traces failed"]; + Abort[] + ]; + + (* Traces with mixed dimensions are currently unsupported. *) + + Scan[ + If[ Length[FCGetDimensions[#]]=!=1, + Message[PauliTrace::mixmsg]; + Abort[] + ]&, spurHeadList + ]; + + (* Evaluate the traces *) + time2=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Calculating even traces.", FCDoControl->paTrVerbose]; + + traceListEven = spurHeadListEven/. spurHead-> spurEven; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Done calculating even traces, timing: ", N[AbsoluteTime[] - time2, 4], FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: traceListEven", traceListEven, FCDoControl->paTrVerbose]; + + (* Check that there are no uncomputed traces left *) + If[ !FreeQ2[traceListEven,{spurHead,PauliSigma}], + Message[PauliTrace::failmsg, "Not all even traces were evaluated."]; + Abort[] + ]; + + time2=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Calculating odd traces.", FCDoControl->paTrVerbose]; + (* Purely 3 dimensional traces are always computed in the same way, regardless of the chosen scheme *) + traceListOdd = spurHeadListOdd/. spurHead[x__]/;(FCGetDimensions[{x}]==={3}) :> spurOddIn3Dim[x]; + + (* Choice of the scheme for D-dimensional odd traces *) + If[ !FreeQ[traceListOdd,spurHead], + Switch[FeynCalc`Package`PauliSigmaScheme, + + (* None *) + "None", + traceListOdd = traceListOdd/. spurHead -> noSpur, + (* Naive *) + "Naive", + traceListOdd = traceListOdd/. spurHead -> noSpur, + (* unknown scheme *) + _, + Message[PauliTrace::failmsg, "Unknown scheme for handling Pauli matrices in dimensional regularization."]; + Abort[] + ] + ]; + + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Done calculating odd traces, timing: ", N[AbsoluteTime[] - time2, 4], FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: traceListOdd", traceListOdd, FCDoControl->paTrVerbose]; + + (* Check that there are no uncomputed traces left *) + If[ !FreeQ2[traceListOdd /. _noSpur:>1 ,{spurHead,PauliSigma,traceOdd}], + Print[traceListOdd]; + Message[PauliTrace::failmsg, "Not all odd traces were evaluated."]; + Abort[] + ]; + + (* Insert the sign of the Eps tensor *) + traceListOdd = traceListOdd/. leviCivitaSign -> $LeviCivitaSign; + + (* Expansion of scalar products. If some of the scalar products were arlready defined, + they will be inserted here. *) + If[ OptionValue[PauliTrace,{opts},Expand] && !FreeQ[{traceListEven,traceListOdd,sigmaFree,sigmaPart}, Momentum], + time2=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Expanding scalar products", FCDoControl->paTrVerbose]; + traceListEven=Map[ExpandScalarProduct[#,FCI->True]&,traceListEven]; + traceListOdd=Map[ExpandScalarProduct[#,FCI->True]&,traceListOdd]; + sigmaFree=ExpandScalarProduct[sigmaFree,FCI->True]; + sigmaPart=ExpandScalarProduct[sigmaPart,FCI->True]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Done expanding the result, timing: ", N[AbsoluteTime[] - time2, 4], FCDoControl->paTrVerbose] + ]; + + (* Create the substitution rule*) + time2=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Rebuilding the full result.", FCDoControl->paTrVerbose]; + repRule = Thread[Rule[spurHeadListOdd,traceListOdd]]; + repRule = Join[repRule, Thread[Rule[spurHeadListEven,traceListEven]]]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: repRule: ", traceListOdd, FCDoControl->paTrVerbose]; + (* The trace of any standalone Cartesian Pauli matrix is zero, si^mu is of course special *) + tmp = (sigmaFree/. wrapRule) + (sigmaPart /. Dispatch[repRule]); + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Full result ready, timing: ", N[AbsoluteTime[] - time2, 4], FCDoControl->paTrVerbose]; + + FCPrint[3,"PauliTrace: pauliTraceEvaluate: tmp: ", tmp, FCDoControl->paTrVerbose]; + + If[ !FreeQ2[tmp /. _noSpur:>1,{spurHead,PauliSigma}], + Message[PauliTrace::failmsg, "Something went wrong while substituting trace results."]; + Abort[] + ]; + + ]; + + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Main part finished, timing: ",N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose]; + + (* At this point there should be no Pauli matrices left, by definition. + The only allowed exception are objects wrapped into noSpur *) + + If[ !FreeQ[tmp /. _noSpur:>1, PauliSigma], + Message[PauliTrace::failmsg,"The output still contains Pauli matrices"]; + Abort[] + ]; + + (* If there are uncontracted Lorentz indices, try to contract them *) + If[ contract===True && !dummyIndexFreeQ, + time=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Contracting Lorentz indices. ", FCDoControl->paTrVerbose]; + tmp=Contract[tmp,FCI->True]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: After Contract: ", tmp, FCDoControl->paTrVerbose]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Contract done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose] + ]; + + (* Special expansion for expressions that contain Levi-Civita tensors*) + If[ !FreeQ[tmp, Eps], + time=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Treating Eps tensors.", FCDoControl->paTrVerbose]; + tmp = EpsEvaluate[tmp,FCI->True]//Expand; + If[ (contract===True || (NumberQ[contract] && LeafCount[tmp] < contract)), + tmp = Contract[ tmp, EpsContract -> OptionValue[PauliTrace,{opts},EpsContract], + Expanding -> False, FCI->True]; + ]; + ]; + + (* Factor the result, if requested; This is where we put back the prefactor of 2. *) + time=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Factoring the result.", FCDoControl->paTrVerbose]; + If[ paulitrfact===True, + paulitrres = Factor2[unitMatrixTrace tmp], + If[ paulitrfact===False, + paulitrres = unitMatrixTrace tmp, + paulitrres = paulitrfact[unitMatrixTrace tmp] + ] + ]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: After factoring: ", paulitrres, FCDoControl->paTrVerbose]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Factoring done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose]; + + paulitrpc[x__] := + Plus[x]/;FreeQ[{x},Pair]; + (* If the result should be collected w.r.t Pairs *) + If[ paulitrcoll===True, + time=AbsoluteTime[]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Collecting the result w.r.t Pairs.", FCDoControl->paTrVerbose]; + paulitrpc[x__] := + Collect2[ Plus[x],Pair ,Factoring -> False]; + paulitrres = paulitrres/. Plus -> paulitrpc; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Collecting done, timing", N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose]; + + + ]; + + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Leaving.", FCDoControl->paTrVerbose]; + FCPrint[3,"PauliTrace: pauliTraceEvaluate: Leaving with: ", paulitrres, FCDoControl->paTrVerbose]; + paulitrres + ]; + +(* since the cyclicity of the trace is respected in all the Pauli matrix schemes + used in FeynCalc and the sorting does not depend on the values of the scalar + products, orderSpurHead is safe for memoization. This might change if we would + implement Kreimer's scheme in the future. *) + +orderSpurHead[x__PauliSigma,y_PauliSigma] := + Block[{p1, p2, tmpSpur, li = {x,y}, pos, tab}, + tab = + Table[ + ( + p1 = li[[;; i]]; + p2 = li[[i + 1 ;;]]; + {1, tmpSpur[Sequence @@ p2, Sequence @@ p1]} + ), {i, 1,Length[li] - 1}]; + tab = Join[{{1, tmpSpur[x,y]}}, tab]; + pos = First[Ordering[tab /. {_, tmpSpur[b__]} :> List[b]]]; + spurHead[Sequence @@ (tab[[pos]][[2]])] + ]; + + +fastExpand[xx_] := + Replace[xx, p_. Times[a__, x_Plus] :> Distribute[p a*x, Plus], 1]; + +(* ------------------------------------------------------------------------ *) + +spurEven[x__PauliSigma]:= + traceEvenWrap[Sequence@@(First/@{x})]/; EvenQ[Length[{x}]]; + + +(* traceEvenWrap is a higher level function that handles the computation of traces without gamma 5, + all indices different. The trick here is that as soon as we compute a trace for a given number of Pauli matrices, + we define it is a function (traceEvenfun) so that the result can be retrieved very fast. Combined with the fast expansion + using fastExpand this provides a rather quick way to obtain Pauli traces. The bottlenecks here are the amount of RAM required + for caching and the general slowness of Mathematica on very large expressions. Traces with up to 14 Pauli matrices should be fine, + after that it becomes too slow *) +traceEvenWrap[SI1_, SI2__] := + Block[{res, repRule, tab, set, SI, args, setDel, tmpRes, finalRes}, + + tab = Table[ ToExpression["MyI" <> ToString[i]], {i, 1, Length[{SI1, SI2}]}]; + finalRes = traceEvenFun @@ {SI1, SI2}; + + If[Head[finalRes] === traceEvenFun, + (* The trace needs to be computed *) + tmpRes = traceEven @@ tab; + If[ ($FCMemoryAvailable - MemoryInUse[]/1000000.) >1. , + (* If there is enough memory, we save the computed result as a function *) + args = Sequence @@ (Pattern[#, _] & /@ tab); + setDel[traceEvenFun[args], fastExpand[tmpRes]] /. setDel -> SetDelayed; + res = traceEvenFun @@ {SI1, SI2}, + (* No memoization if we have not enough memory *) + res = tmpRes /. Thread[Rule[tab, {SI1,SI2}]] + + ], + (* The trace has already been computed *) + res = finalRes + ]; + + res + ]/; EvenQ[Length[{SI1,SI2}]]; + +traceEvenWrap[] = + 1; + +(* traceEven is the lower level function that computes only indices of type S[1],S[2],... and + remembers its values. It's based on Thomas Hahn's famous Trace4 function *) +traceEven[SI1_, SI2__] := + Block[{head, s = -1, res}, + res = Plus @@ MapIndexed[((s = -s) CartesianPair[SI1, #1] Drop[head[SI2], #2]) &, {SI2}]; + res = res /. head -> traceEvenWrap; + res + ]/; EvenQ[Length[{SI1,SI2}]]; + +(* ------------------------------------------------------------------------ *) + +spurOddIn3Dim[x__PauliSigma]:= + traceOddWrap[Sequence@@(First/@{x})]/; OddQ[Length[{x}]]; + + +(* traceOddWrap computes a 3-dimensional odd trace of Pauli matrices using + similar tricks as traceEvenWrap. *) +traceOddWrap[SI1__] := + Block[{res, repRule, tab, set, args, setDel, tmpRes, realRes}, + tab = Table[ToExpression["MyI" <> ToString[i]], {i, 1, Length[{SI1}]}]; + + realRes = traceOddFun @@ {SI1}; + + If[Head[realRes] === traceOddFun, + (* The trace needs to be computed *) + tmpRes = traceOdd @@ tab; + If[ ($FCMemoryAvailable - MemoryInUse[]/1000000.) >1. , + (* If there is enough memory, we save the computed result as a function *) + args = Sequence @@ (Pattern[#, _] & /@ tab); + setDel[traceOddFun[args], fastExpand[tmpRes]] /. setDel -> SetDelayed; + res = traceOddFun @@ {SI1}, + (* No memoization if we have not enough memory *) + res = tmpRes /. Thread[Rule[tab, {SI1}]] + + ], + (* The trace has already been computed *) + res = realRes + ]; + res + ]/; OddQ[Length[{SI1}]]; +(* +traceOdd[SI1_, SI2__, mu_, nu_, rho_] := + CartesianPair[mu, nu] traceOdd[SI1, SI2, rho] - + CartesianPair[mu, rho] traceOdd[SI1, SI2, nu] + + CartesianPair[nu, rho] traceOdd[SI1, SI2, mu] - + leviCivitaSign I traceEpsOdd2[mu, nu, rho, SI1, SI2]; +*) + +(* This is for output similar to FORM*) +traceOdd[mu_, nu_, rho_, SI1_, SI2__] := + CartesianPair[mu, nu] traceOdd[rho, SI1, SI2] - + CartesianPair[mu, rho] traceOdd[nu, SI1, SI2] + + CartesianPair[nu, rho] traceOdd[mu, SI1, SI2] - + leviCivitaSign I Eps[mu, nu, rho] traceEvenWrap[SI1, SI2] + + +traceOdd[a_, b_, c_]:= + - leviCivitaSign I Eps[a, b, c]; + +traceEpsOdd[mu_, nu_, SI2__] := + Block[{head, s = -1, res}, + res = Plus @@ MapIndexed[((s = -s) Eps[mu, nu, #1] Drop[head[SI2], #2]) &, {SI2}]; + res = res (*/. head -> traceEvenWrap*); + res + ]; + +FCPrint[1,"PauliTrace.m loaded."]; +End[] diff --git a/FeynCalc/Pauli/PauliTrick.m b/FeynCalc/Pauli/PauliTrick.m index 9f54e90e8..74aec91c1 100755 --- a/FeynCalc/Pauli/PauliTrick.m +++ b/FeynCalc/Pauli/PauliTrick.m @@ -40,6 +40,8 @@ optJoin::usage=""; pasi::usage=""; tmpli::usage=""; +insidePauliTrace::usage=""; +pauliOrder::usage=""; Options[PauliTrick] = { Expanding -> False, @@ -48,32 +50,33 @@ FCJoinDOTs -> False, FCPauliIsolate -> True, FCVerbose -> False, + InsidePauliTrace -> False, PauliSigmaCombine -> False, PauliReduce -> False }; -pauliTrickEvalFastFromPauliSimplifyList[pauliObjects_List, {(*optInsidePauliTrace*)_, (*optPauliOrder*)_}]:= - Block[{(*tmp1,tmp2,*) res}, - (*tmp1 = insideDiracTrace; - tmp2 = diracOrder; - insideDiracTrace = optInsidePauliTrace; - pauliOrder = optPauliOrder;*) +pauliTrickEvalFastFromPauliSimplifyList[pauliObjects_List, {optInsidePauliTrace_, optPauliOrder_}]:= + Block[{tmp1,tmp2, res}, + tmp1 = insidePauliTrace; + tmp2 = pauliOrder; + insidePauliTrace = optInsidePauliTrace; + pauliOrder = optPauliOrder; res = (pauliTrickEvalFast/@pauliObjects) /. pauliTrickEvalFast->Identity; - (*insidePauliTrace = tmp1; - diracOrder = tmp2;*) + insidePauliTrace = tmp1; + pauliOrder = tmp2; res ]; -pauliTrickEvalFastFromPauliSimplifySingle[pauliObject_, {tmpHead_, (*optInsidePauliTrace*)_, (*optPauliOrder*)_}]:= - Block[{(*tmp1,tmp2,*) res}, - (*tmp1 = insideDiracTrace; - tmp2 = diracOrder; - insideDiracTrace = optInsidePauliTrace; - diracOrder = optPauliOrder;*) +pauliTrickEvalFastFromPauliSimplifySingle[pauliObject_, {tmpHead_, optInsidePauliTrace_, optPauliOrder_}]:= + Block[{tmp1,tmp2, res}, + tmp1 = insidePauliTrace; + tmp2 = pauliOrder; + insidePauliTrace = optInsidePauliTrace; + pauliOrder = optPauliOrder; res = pauliTrickEvalFast[pauliObject] /. pauliTrickEvalFast->tmpHead; - (*insideDiracTrace = tmp1; - diracOrder = tmp2;*) + insidePauliTrace = tmp1; + pauliOrder = tmp2; res ]; @@ -95,8 +98,9 @@ create replacement rules (standard) and substitute the results back. xx) Then we do all the simplifications. *) - optJoin = OptionValue[FCJoinDOTs]; - pauliReduce = OptionValue[PauliReduce]; + optJoin = OptionValue[FCJoinDOTs]; + pauliReduce = OptionValue[PauliReduce]; + insidePauliTrace = OptionValue[InsidePauliTrace]; If [OptionValue[FCVerbose]===False, paTrVerbose=$VeryVerbose, @@ -137,13 +141,13 @@ create replacement rules (standard) and substitute the results back. FCPrint[3,"PauliTrick: pauliObjects: ",pauliObjects , FCDoControl->paTrVerbose]; time=AbsoluteTime[]; - FCPrint[1, "PauliTrick: Applying PauliTrickEval", FCDoControl->paTrVerbose]; + FCPrint[1, "PauliTrick: Applying pauliTrickEval", FCDoControl->paTrVerbose]; - pauliObjectsEval = Map[(pauliTrickEvalFast[#]/. pauliTrickEvalFast->PauliTrickEval)&, (pauliObjects/.paHead->Identity)]; - FCPrint[3,"PauliTrick: After PauliTrickEval: ", pauliObjectsEval, FCDoControl->paTrVerbose]; - FCPrint[1,"PauliTrick: PauliTrickEval done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose]; + pauliObjectsEval = Map[(pauliTrickEvalFast[#]/. pauliTrickEvalFast->pauliTrickEval)&, (pauliObjects/.paHead->Identity)]; + FCPrint[3,"PauliTrick: After pauliTrickEval: ", pauliObjectsEval, FCDoControl->paTrVerbose]; + FCPrint[1,"PauliTrick: pauliTrickEval done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose]; - If[ !FreeQ2[pauliObjectsEval,{pauliTrickEvalFast,PauliTrickEval,holdDOT}], + If[ !FreeQ2[pauliObjectsEval,{pauliTrickEvalFast,pauliTrickEval,holdDOT}], Message[PauliTrick::failmsg,"Evaluation of isolated objects failed."]; Abort[] ]; @@ -164,10 +168,10 @@ create replacement rules (standard) and substitute the results back. FCPrint[3,"PauliTrick: After pauliTrickEvalFast: ", res , FCDoControl->paTrVerbose]; If[ !FreeQ2[res,{PauliHeadsList,pauliTrickEvalFast}], - res = res /. pauliTrickEvalFast->PauliTrickEval + res = res /. pauliTrickEvalFast->pauliTrickEval ]; - If[ !FreeQ2[res,{pauliTrickEvalFast,PauliTrickEval,holdDOT}], + If[ !FreeQ2[res,{pauliTrickEvalFast,pauliTrickEval,holdDOT}], Message[PauliTrick::failmsg,"Evaluation of isolated objects failed."]; Abort[] ] @@ -194,9 +198,14 @@ create replacement rules (standard) and substitute the results back. ]; (* Here we can quickly handle trivial contractions of short expressions *) - pauliTrickEvalFast[ex:PauliSigma[__]]:= - ex; + ex/; !insidePauliTrace; + +pauliTrickEvalFast[PauliSigma[(_CartesianMomentum | _CartesianIndex), ___]]:= + 0/; insidePauliTrace; + +pauliTrickEvalFast[ex:PauliSigma[(_Momentum | _LorentzIndex), ___]]:= + ex/; insidePauliTrace; pauliTrickEvalFast[DOT[b___,PauliSigma[l_LorentzIndex, dim_:3], PauliSigma[l_LorentzIndex, dim_:3], d___]] := (FeynCalc`Package`MetricT + FeynCalc`Package`MetricS dim) pauliTrickEvalFast[DOT[ b,d ]]/;!MatchQ[dim,_Symbol-4]; @@ -213,18 +222,70 @@ create replacement rules (standard) and substitute the results back. pauliTrickEvalFast[DOT[b___,PauliSigma[c_CartesianMomentum, dim___], PauliSigma[c_CartesianMomentum, dim___], d___ ]] := FCUseCache[ExpandScalarProduct,{CartesianPair[c,c]},{}] pauliTrickEvalFast[DOT[b,d]]; - - pauliTrickEvalFast[DOT[]]:= 1; -PauliTrickEval[ex_/;Head[ex]=!=PauliSigma]:= + +diracTrickEval[ex:PauliSigma[__]]:= + ex/; !insidePauliTrace; + +diracTrickEval[PauliSigma[(_CartesianMomentum | _CartesianIndex), ___]]:= + 0/; insidePauliTrace; + +diracTrickEval[ex:PauliSigma[(_Momentum | _LorentzIndex), ___]]:= + ex/; insidePauliTrace; + + +pauliTrickEval[ex_/;Head[ex]=!=PauliSigma]:= + Which[ + (* None, inside Trace *) + (FeynCalc`Package`PauliSigmaScheme === "None") && insidePauliTrace, + pauliTrickEvalCachedNoneInsideTrace[ex], + (* Naive, inside Trace *) + (FeynCalc`Package`PauliSigmaScheme === "Naive") && insidePauliTrace, + pauliTrickEvalCachedNaiveInsideTrace[ex], + + (* None *) + (FeynCalc`Package`PauliSigmaScheme === "None"), + pauliTrickEvalCachedNoneInsideTrace[ex], + (* Naive *) + (FeynCalc`Package`PauliSigmaScheme === "Naive"), + pauliTrickEvalCachedNaiveInsideTrace[ex], + + (* Else *) + True, + Message[PauliTrick::failmsg, "Unknown scheme for Pauli matrices"]; + Abort[] + ]/; ex=!=0; + + +pauliTrickEvalCachedNoneInsideTrace[x_] := + pauliTrickEvalInternal[x]; + +pauliTrickEvalCachedNaiveInsideTrace[x_] := + pauliTrickEvalInternal[x]; + +pauliTrickEvalCachedNone[x_] := + pauliTrickEvalInternal[x]; + +pauliTrickEvalCachedNaive[x_] := + pauliTrickEvalInternal[x]; + +pauliTrickEvalInternal[ex_/;Head[ex]=!=PauliSigma]:= Block[{res=ex, holdDOT, time, dim, noncommPresent,null1,null2,paHead}, - FCPrint[1, "PauliTrick: PauliTrickEval: Entering.", FCDoControl->paTrVerbose]; - FCPrint[3, "PauliTrick: PauliTrickEval: Entering with", ex , FCDoControl->paTrVerbose]; + FCPrint[1, "PauliTrick: pauliTrickEval: Entering.", FCDoControl->paTrVerbose]; + FCPrint[3, "PauliTrick: pauliTrickEval: Entering with", ex , FCDoControl->paTrVerbose]; - res = res/. DOT -> holdDOT; + If[ insidePauliTrace, + time=AbsoluteTime[]; + FCPrint[2, "DiracTrick: pauliTrickEval: Applying pauliTraceSimplify ", FCDoControl->paTrVerbose]; + res = pauliTraceSimplify[res] /. DOT -> holdDOT /. pauliTraceSimplify[holdDOT[x__]] :> pauliTraceSimplify[x]/. + pauliTraceSimplify -> holdDOT; + FCPrint[1,"PauliTrick: pauliTrickEval: pauliTraceSimplify done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose]; + FCPrint[3, "PauliTrick: pauliTrickEval: After pauliTraceSimplify ", res, FCDoControl->paTrVerbose], + res = res /. DOT -> holdDOT; + ]; If[ !FreeQ[res,Pair], res = Expand2[res,Pair]/. Pair->PairContract /. PairContract->Pair; @@ -243,34 +304,43 @@ create replacement rules (standard) and substitute the results back. noncommPresent = !NonCommFreeQ[res/.PauliSigma->pasi]; - FCPrint[3, "PauliTrick: PauliTrickEval: unknown non-commutative objects present:", noncommPresent, FCDoControl->paTrVerbose]; + FCPrint[3, "PauliTrick: pauliTrickEval: unknown non-commutative objects present: ", noncommPresent, FCDoControl->paTrVerbose]; - FCPrint[3, "PauliTrick: PauliTrickEval: Dimensions:", dim, FCDoControl->paTrVerbose]; + FCPrint[3, "PauliTrick: pauliTrickEval: Dimensions: ", dim, FCDoControl->paTrVerbose]; - FCPrint[1, "PauliTrick: PauliTrickEval: Doing simplifications.", FCDoControl->paTrVerbose]; + FCPrint[1, "PauliTrick: pauliTrickEval: Doing simplifications.", FCDoControl->paTrVerbose]; Which[ (* Purely 4- or 3-dimensional *) MatchQ[dim,{}|{3}|{4}|{3,4}], - FCPrint[1, "PauliTrick: PauliTrickEval: Purely 4-dim.", FCDoControl->paTrVerbose]; + FCPrint[1, "PauliTrick: pauliTrickEval: Purely 4-dim.", FCDoControl->paTrVerbose]; res = res /. holdDOT -> pauli4Dim /. pauli4Dim -> holdDOT; - FCPrint[3, "PauliTrick: PauliTrickEval: After pauli4Dim: ", res, FCDoControl->paTrVerbose], + FCPrint[3, "PauliTrick: pauliTrickEval: After pauli4Dim: ", res, FCDoControl->paTrVerbose], (* Purely D-dimensional *) MatchQ[dim,{_Symbol-1}|{_Symbol}|{_Symbol,_Symbol-1}|{_Symbol-1,_Symbol}], - FCPrint[1, "PauliTrick: PauliTrickEval: Purely D-dim.", FCDoControl->paTrVerbose]; + FCPrint[1, "PauliTrick: pauliTrickEval: Purely D-dim.", FCDoControl->paTrVerbose]; res = res /. holdDOT -> pauliDDim /. pauliDDim -> holdDOT; - FCPrint[3, "PauliTrick: PauliTrickEval: After pauliDDim: ", res, FCDoControl->paTrVerbose], + FCPrint[3, "PauliTrick: pauliTrickEval: After pauliDDim: ", res, FCDoControl->paTrVerbose], (* Anything else is most likely an error *) True, Message[PauliTrick::failmsg,"Unsupported combination of dimensions!"]; Abort[] ]; - FCPrint[1, "PauliTrick: PauliTrickEval: Done with simplifications.", FCDoControl->paTrVerbose]; + FCPrint[1, "PauliTrick: pauliTrickEval: Done with simplifications.", FCDoControl->paTrVerbose]; res = res /. holdDOT -> DOT; - FCPrint[1, "PauliTrick: PauliTrickEval: Leaving.", FCDoControl->paTrVerbose]; - FCPrint[3, "PauliTrick: PauliTrickEval: Leaving with ", res, FCDoControl->paTrVerbose]; + If[ insidePauliTrace && res=!=0, + time=AbsoluteTime[]; + FCPrint[2, "DiracTrick: pauliTrickEval: Applying pauliTraceSimplify ", FCDoControl->paTrVerbose]; + res = pauliTraceSimplify[res] /. DOT -> holdDOT /. pauliTraceSimplify[holdDOT[x__]] :> pauliTraceSimplify[x]/. + pauliTraceSimplify -> DOT /. holdDOT->DOT; + FCPrint[1,"PauliTrick: pauliTrickEval: pauliTraceSimplify done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->paTrVerbose]; + FCPrint[3, "PauliTrick: pauliTrickEval: After pauliTraceSimplify ", res, FCDoControl->paTrVerbose] + ]; + + FCPrint[1, "PauliTrick: pauliTrickEval: Leaving.", FCDoControl->paTrVerbose]; + FCPrint[3, "PauliTrick: pauliTrickEval: Leaving with ", res, FCDoControl->paTrVerbose]; res ]; @@ -380,5 +450,18 @@ create replacement rules (standard) and substitute the results back. + 2 FCUseCache[ExpandScalarProduct,{CartesianPair[c1,c2]},{}] pauliDDim[b, ch, PauliSigma[c1,dim-1], d] )/; FeynCalc`Package`PauliSigmaScheme=!="Naive"; *) + +pauliTraceSimplify[] := + 1; + +pauliTraceSimplify[___,0,___] := + 0; + +pauliTraceSimplify[PauliSigma[(c1: _CartesianMomentum | _CartesianIndex),___], PauliSigma[(c2: _CartesianMomentum | _CartesianIndex), ___]] := + FCUseCache[ExpandScalarProduct,{CartesianPair[c1,c2]},{}]; + + + + FCPrint[1,"PauliTrick.m loaded."]; End[] diff --git a/FeynCalc/Shared/SharedOptions.m b/FeynCalc/Shared/SharedOptions.m index b89aac5f5..e1b614b6e 100644 --- a/FeynCalc/Shared/SharedOptions.m +++ b/FeynCalc/Shared/SharedOptions.m @@ -166,6 +166,11 @@ Its default setting is KK. Instead of a symbol the \ setting may also be a list with the names of the abbrevations."; +InsidePauliTrace::usage = +"InsidePauliTrace is an option of PauliSimplify and some other functions \ +dealing with Pauli algebra. If set to True, the function assumes to operate \ +inside a Pauli trace."; + KK::usage = "KK[i] is the default setting of IsolateNames, \ which is the head of abbreviations used by Isolate. \ @@ -201,6 +206,10 @@ "PairCollect is an option for DiracTrace specifying if \ the result is collected with respect to Pair's."; +PauliTraceEvaluate::usage = +"PauliTraceEvaluate is an option for PauliTrace, PauliSimplify and \ +some other functions. If set to False, Pauli traces remain unevaluated."; + PaVeAutoReduce::usage = "PaVEAutoConvert is an option of PaVe and other functions that work with PaVe functions. \ When set to True, for some special cases PaVe functions will be automatically reduced \ diff --git a/Tests/Pauli/Pauli.mt b/Tests/Pauli/Pauli.mt index d8e3281cb..f37cf594e 100644 --- a/Tests/Pauli/Pauli.mt +++ b/Tests/Pauli/Pauli.mt @@ -25,38 +25,5 @@ If[ $OnlySubTest=!="", Remove[testNames] ]; -If[ Names["Tests`Pauli`fcstPauliSigmaCombine*"]=!={}, - tmpTest = Map[test[ToExpression[(#[[2]])],ToExpression[(#[[3]])],testID->#[[1]]]&, - Join@@(ToExpression/@Names["Tests`Pauli`fcstPauliSigmaCombine*"])]; - tmpTest = tmpTest /. testID->TestID /. test -> Test; -]; - -If[ Names["Tests`Pauli`fcstPauliSigmaExpand*"]=!={}, - tmpTest = Map[test[ToExpression[(#[[2]])],ToExpression[(#[[3]])],testID->#[[1]]]&, - Join@@(ToExpression/@Names["Tests`Pauli`fcstPauliSigmaExpand*"])]; - tmpTest = tmpTest /. testID->TestID /. test -> Test; -]; - -If[ Names["Tests`Pauli`fcstFCPauliIsolate*"]=!={}, - tmpTest = Map[test[ToExpression[(#[[2]])],ToExpression[(#[[3]])],testID->#[[1]]]&, - Join@@(ToExpression/@Names["Tests`Pauli`fcstFCPauliIsolate*"])]; - tmpTest = tmpTest /. testID->TestID /. test -> Test; -]; - -If[ Names["Tests`Pauli`fcstPauliTrick*"]=!={}, - tmpTest = Map[test[ToExpression[(#[[2]])],ToExpression[(#[[3]])],testID->#[[1]]]&, - Join@@(ToExpression/@Names["Tests`Pauli`fcstPauliTrick*"])]; - tmpTest = tmpTest /. testID->TestID /. test -> Test; -]; - -If[ Names["Tests`Pauli`fcstPauliSimplify*"]=!={}, - tmpTest = Map[test[ToExpression[(#[[2]])],ToExpression[(#[[3]])],testID->#[[1]]]&, - Join@@(ToExpression/@Names["Tests`Pauli`fcstPauliSimplify*"])]; - tmpTest = tmpTest /. testID->TestID /. test -> Test; -]; - -If[ Names["Tests`Pauli`fcstPauliOrder*"]=!={}, - tmpTest = Map[test[ToExpression[(#[[2]])],ToExpression[(#[[3]])],testID->#[[1]]]&, - Join@@(ToExpression/@Names["Tests`Pauli`fcstPauliOrder*"])]; - tmpTest = tmpTest /. testID->TestID /. test -> Test; -]; +Map[Test[ToExpression[(#[[2]])],ToExpression[(#[[3]])],TestID->#[[1]]]&, + Join@@(ToExpression/@Names["Tests`Pauli`*"])]; diff --git a/Tests/Pauli/PauliTrace.test b/Tests/Pauli/PauliTrace.test new file mode 100644 index 000000000..faed0e835 --- /dev/null +++ b/Tests/Pauli/PauliTrace.test @@ -0,0 +1,468 @@ + + +(* :Title: PauliTrace.test *) + +(* + This software is covered by the GNU General Public License 3. + Copyright (C) 1990-2020 Rolf Mertig + Copyright (C) 1997-2020 Frederik Orellana + Copyright (C) 2014-2020 Vladyslav Shtabovenko +*) + +(* :Summary: Framework independent unit tests for PauliTrace *) + +(* ------------------------------------------------------------------------ *) + +Tests`Pauli`fcstPauliTrace = +({ +{"fcstPauliTrace-ID1", +"PauliTrace[CSI[i],PauliTraceEvaluate\[Rule]True,FCE\[Rule]True]", +"0"}, +{"fcstPauliTrace-ID2", +"PauliTrace[CSI[i,j],PauliTraceEvaluate\[Rule]True,FCE\[Rule]True]\ +", "2*KD[i, j]"}, +{"fcstPauliTrace-ID3", +"PauliTrace[CSI[i,j,k],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "(2*I)*CLC[i, j, k]"}, +{"fcstPauliTrace-ID4", +"PauliTrace[CSI[i,j,k,l],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "2*(KD[i, l]*KD[j, k] - KD[i, k]*KD[j, l] + KD[i, j]*KD[k, \ +l])"}, +{"fcstPauliTrace-ID5", +"PauliTrace[CSI[i,j,k,l,m],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "(2*I)*(CLC[k, l, m]*KD[i, j] - CLC[j, l, m]*KD[i, k] + \ +CLC[i, l, m]*KD[j, k] + CLC[i, j, k]*KD[l, m])"}, +{"fcstPauliTrace-ID6", +"PauliTrace[CSI[i,j,k,l,m,n],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"2*(KD[i, n]*KD[j, m]*KD[k, l] - KD[i, m]*KD[j, n]*KD[k, l] - \ +KD[i, n]*KD[j, l]*KD[k, m] + KD[i, l]*KD[j, n]*KD[k, m] + KD[i, \ +m]*KD[j, l]*KD[k, n] - KD[i, l]*KD[j, m]*KD[k, n] + KD[i, n]*KD[j, \ +k]*KD[l, m] - KD[i, k]*KD[j, n]*KD[l, m] + KD[i, j]*KD[k, n]*KD[l, m] \ +- KD[i, m]*KD[j, k]*KD[l, n] + KD[i, k]*KD[j, m]*KD[l, n] - KD[i, \ +j]*KD[k, m]*KD[l, n] + KD[i, l]*KD[j, k]*KD[m, n] - KD[i, k]*KD[j, \ +l]*KD[m, n] + KD[i, j]*KD[k, l]*KD[m, n])"}, +{"fcstPauliTrace-ID7", +"PauliTrace[CSI[i,j,k,l,m,n,o],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"(2*I)*(CLC[m, n, o]*KD[i, l]*KD[j, k] - CLC[l, n, o]*KD[i, \ +m]*KD[j, k] - CLC[m, n, o]*KD[i, k]*KD[j, l] + CLC[l, n, o]*KD[i, \ +k]*KD[j, m] + CLC[m, n, o]*KD[i, j]*KD[k, l] - CLC[l, n, o]*KD[i, \ +j]*KD[k, m] + CLC[k, n, o]*KD[i, j]*KD[l, m] - CLC[j, n, o]*KD[i, \ +k]*KD[l, m] + CLC[i, n, o]*KD[j, k]*KD[l, m] + CLC[i, j, k]*KD[l, \ +o]*KD[m, n] - CLC[i, j, k]*KD[l, n]*KD[m, o] + CLC[k, l, m]*KD[i, \ +j]*KD[n, o] - CLC[j, l, m]*KD[i, k]*KD[n, o] + CLC[i, l, m]*KD[j, \ +k]*KD[n, o] + CLC[i, j, k]*KD[l, m]*KD[n, o])"}, +{"fcstPauliTrace-ID8", +"PauliTrace[CSI[i,j,k,l,m,n,o,p],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"2*(KD[i, p]*KD[j, o]*KD[k, n]*KD[l, m] - KD[i, o]*KD[j, p]*KD[k, \ +n]*KD[l, m] - KD[i, p]*KD[j, n]*KD[k, o]*KD[l, m] + KD[i, n]*KD[j, \ +p]*KD[k, o]*KD[l, m] + KD[i, o]*KD[j, n]*KD[k, p]*KD[l, m] - KD[i, \ +n]*KD[j, o]*KD[k, p]*KD[l, m] - KD[i, p]*KD[j, o]*KD[k, m]*KD[l, n] + \ +KD[i, o]*KD[j, p]*KD[k, m]*KD[l, n] + KD[i, p]*KD[j, m]*KD[k, \ +o]*KD[l, n] - KD[i, m]*KD[j, p]*KD[k, o]*KD[l, n] - KD[i, o]*KD[j, \ +m]*KD[k, p]*KD[l, n] + KD[i, m]*KD[j, o]*KD[k, p]*KD[l, n] + KD[i, \ +p]*KD[j, n]*KD[k, m]*KD[l, o] - KD[i, n]*KD[j, p]*KD[k, m]*KD[l, o] - \ +KD[i, p]*KD[j, m]*KD[k, n]*KD[l, o] + KD[i, m]*KD[j, p]*KD[k, \ +n]*KD[l, o] + KD[i, n]*KD[j, m]*KD[k, p]*KD[l, o] - KD[i, m]*KD[j, \ +n]*KD[k, p]*KD[l, o] - KD[i, o]*KD[j, n]*KD[k, m]*KD[l, p] + KD[i, \ +n]*KD[j, o]*KD[k, m]*KD[l, p] + KD[i, o]*KD[j, m]*KD[k, n]*KD[l, p] - \ +KD[i, m]*KD[j, o]*KD[k, n]*KD[l, p] - KD[i, n]*KD[j, m]*KD[k, \ +o]*KD[l, p] + KD[i, m]*KD[j, n]*KD[k, o]*KD[l, p] + KD[i, p]*KD[j, \ +o]*KD[k, l]*KD[m, n] - KD[i, o]*KD[j, p]*KD[k, l]*KD[m, n] - KD[i, \ +p]*KD[j, l]*KD[k, o]*KD[m, n] + KD[i, l]*KD[j, p]*KD[k, o]*KD[m, n] + \ +KD[i, o]*KD[j, l]*KD[k, p]*KD[m, n] - KD[i, l]*KD[j, o]*KD[k, \ +p]*KD[m, n] + KD[i, p]*KD[j, k]*KD[l, o]*KD[m, n] - KD[i, k]*KD[j, \ +p]*KD[l, o]*KD[m, n] + KD[i, j]*KD[k, p]*KD[l, o]*KD[m, n] - KD[i, \ +o]*KD[j, k]*KD[l, p]*KD[m, n] + KD[i, k]*KD[j, o]*KD[l, p]*KD[m, n] - \ +KD[i, j]*KD[k, o]*KD[l, p]*KD[m, n] - KD[i, p]*KD[j, n]*KD[k, \ +l]*KD[m, o] + KD[i, n]*KD[j, p]*KD[k, l]*KD[m, o] + KD[i, p]*KD[j, \ +l]*KD[k, n]*KD[m, o] - KD[i, l]*KD[j, p]*KD[k, n]*KD[m, o] - KD[i, \ +n]*KD[j, l]*KD[k, p]*KD[m, o] + KD[i, l]*KD[j, n]*KD[k, p]*KD[m, o] - \ +KD[i, p]*KD[j, k]*KD[l, n]*KD[m, o] + KD[i, k]*KD[j, p]*KD[l, \ +n]*KD[m, o] - KD[i, j]*KD[k, p]*KD[l, n]*KD[m, o] + KD[i, n]*KD[j, \ +k]*KD[l, p]*KD[m, o] - KD[i, k]*KD[j, n]*KD[l, p]*KD[m, o] + KD[i, \ +j]*KD[k, n]*KD[l, p]*KD[m, o] + KD[i, o]*KD[j, n]*KD[k, l]*KD[m, p] - \ +KD[i, n]*KD[j, o]*KD[k, l]*KD[m, p] - KD[i, o]*KD[j, l]*KD[k, \ +n]*KD[m, p] + KD[i, l]*KD[j, o]*KD[k, n]*KD[m, p] + KD[i, n]*KD[j, \ +l]*KD[k, o]*KD[m, p] - KD[i, l]*KD[j, n]*KD[k, o]*KD[m, p] + KD[i, \ +o]*KD[j, k]*KD[l, n]*KD[m, p] - KD[i, k]*KD[j, o]*KD[l, n]*KD[m, p] + \ +KD[i, j]*KD[k, o]*KD[l, n]*KD[m, p] - KD[i, n]*KD[j, k]*KD[l, \ +o]*KD[m, p] + KD[i, k]*KD[j, n]*KD[l, o]*KD[m, p] - KD[i, j]*KD[k, \ +n]*KD[l, o]*KD[m, p] + KD[i, p]*KD[j, m]*KD[k, l]*KD[n, o] - KD[i, \ +m]*KD[j, p]*KD[k, l]*KD[n, o] - KD[i, p]*KD[j, l]*KD[k, m]*KD[n, o] + \ +KD[i, l]*KD[j, p]*KD[k, m]*KD[n, o] + KD[i, m]*KD[j, l]*KD[k, \ +p]*KD[n, o] - KD[i, l]*KD[j, m]*KD[k, p]*KD[n, o] + KD[i, p]*KD[j, \ +k]*KD[l, m]*KD[n, o] - KD[i, k]*KD[j, p]*KD[l, m]*KD[n, o] + KD[i, \ +j]*KD[k, p]*KD[l, m]*KD[n, o] - KD[i, m]*KD[j, k]*KD[l, p]*KD[n, o] + \ +KD[i, k]*KD[j, m]*KD[l, p]*KD[n, o] - KD[i, j]*KD[k, m]*KD[l, \ +p]*KD[n, o] + KD[i, l]*KD[j, k]*KD[m, p]*KD[n, o] - KD[i, k]*KD[j, \ +l]*KD[m, p]*KD[n, o] + KD[i, j]*KD[k, l]*KD[m, p]*KD[n, o] - KD[i, \ +o]*KD[j, m]*KD[k, l]*KD[n, p] + KD[i, m]*KD[j, o]*KD[k, l]*KD[n, p] + \ +KD[i, o]*KD[j, l]*KD[k, m]*KD[n, p] - KD[i, l]*KD[j, o]*KD[k, \ +m]*KD[n, p] - KD[i, m]*KD[j, l]*KD[k, o]*KD[n, p] + KD[i, l]*KD[j, \ +m]*KD[k, o]*KD[n, p] - KD[i, o]*KD[j, k]*KD[l, m]*KD[n, p] + KD[i, \ +k]*KD[j, o]*KD[l, m]*KD[n, p] - KD[i, j]*KD[k, o]*KD[l, m]*KD[n, p] + \ +KD[i, m]*KD[j, k]*KD[l, o]*KD[n, p] - KD[i, k]*KD[j, m]*KD[l, \ +o]*KD[n, p] + KD[i, j]*KD[k, m]*KD[l, o]*KD[n, p] - KD[i, l]*KD[j, \ +k]*KD[m, o]*KD[n, p] + KD[i, k]*KD[j, l]*KD[m, o]*KD[n, p] - KD[i, \ +j]*KD[k, l]*KD[m, o]*KD[n, p] + KD[i, n]*KD[j, m]*KD[k, l]*KD[o, p] - \ +KD[i, m]*KD[j, n]*KD[k, l]*KD[o, p] - KD[i, n]*KD[j, l]*KD[k, \ +m]*KD[o, p] + KD[i, l]*KD[j, n]*KD[k, m]*KD[o, p] + KD[i, m]*KD[j, \ +l]*KD[k, n]*KD[o, p] - KD[i, l]*KD[j, m]*KD[k, n]*KD[o, p] + KD[i, \ +n]*KD[j, k]*KD[l, m]*KD[o, p] - KD[i, k]*KD[j, n]*KD[l, m]*KD[o, p] + \ +KD[i, j]*KD[k, n]*KD[l, m]*KD[o, p] - KD[i, m]*KD[j, k]*KD[l, \ +n]*KD[o, p] + KD[i, k]*KD[j, m]*KD[l, n]*KD[o, p] - KD[i, j]*KD[k, \ +m]*KD[l, n]*KD[o, p] + KD[i, l]*KD[j, k]*KD[m, n]*KD[o, p] - KD[i, \ +k]*KD[j, l]*KD[m, n]*KD[o, p] + KD[i, j]*KD[k, l]*KD[m, n]*KD[o, p])"}, +{"fcstPauliTrace-ID9", +"PauliTrace[CSI[i,a,j,k,a],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "(-2*I)*CLC[i, j, k]"}, +{"fcstPauliTrace-ID10", +"PauliTrace[CSI[i,a,j,b,k,a],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"-2*(KD[b, k]*KD[i, j] + KD[b, j]*KD[i, k] - KD[b, i]*KD[j, k])"}, +{"fcstPauliTrace-ID11", +"PauliTrace[CSID[a,i,k,a],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "2*(-1 + D)*KDD[i, k]"}, +{"fcstPauliTrace-ID12", +"PauliTrace[CSIS[p1],PauliTraceEvaluate\[Rule]True,FCE\[Rule]True]\ +", "0"}, +{"fcstPauliTrace-ID13", +"PauliTrace[CSIS[p1,p2],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "2*CSP[p1, p2]"}, +{"fcstPauliTrace-ID14", +"PauliTrace[CSIS[p1,p2,p3],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "(2*I)*CLC[][p1, p2, p3]"}, +{"fcstPauliTrace-ID15", +"PauliTrace[CSIS[p1,p2,p3,p4],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"2*(CSP[p1, p4]*CSP[p2, p3] - CSP[p1, p3]*CSP[p2, p4] + CSP[p1, \ +p2]*CSP[p3, p4])"}, +{"fcstPauliTrace-ID16", +"PauliTrace[CSIS[p1,p2,p3,p4,p5],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"(2*I)*(CSP[p4, p5]*CLC[][p1, p2, p3] + CSP[p2, p3]*CLC[][p1, p4, \ +p5] - CSP[p1, p3]*CLC[][p2, p4, p5] + CSP[p1, p2]*CLC[][p3, p4, p5])"}, +{"fcstPauliTrace-ID17", +"PauliTrace[CSIS[p1,p2,p3,p4,p5,p6],PauliTraceEvaluate\[Rule]True,\ +FCE\[Rule]True]", +"2*(CSP[p1, p6]*CSP[p2, p5]*CSP[p3, p4] - CSP[p1, p5]*CSP[p2, \ +p6]*CSP[p3, p4] - CSP[p1, p6]*CSP[p2, p4]*CSP[p3, p5] + CSP[p1, \ +p4]*CSP[p2, p6]*CSP[p3, p5] + CSP[p1, p5]*CSP[p2, p4]*CSP[p3, p6] - \ +CSP[p1, p4]*CSP[p2, p5]*CSP[p3, p6] + CSP[p1, p6]*CSP[p2, p3]*CSP[p4, \ +p5] - CSP[p1, p3]*CSP[p2, p6]*CSP[p4, p5] + CSP[p1, p2]*CSP[p3, \ +p6]*CSP[p4, p5] - CSP[p1, p5]*CSP[p2, p3]*CSP[p4, p6] + CSP[p1, \ +p3]*CSP[p2, p5]*CSP[p4, p6] - CSP[p1, p2]*CSP[p3, p5]*CSP[p4, p6] + \ +CSP[p1, p4]*CSP[p2, p3]*CSP[p5, p6] - CSP[p1, p3]*CSP[p2, p4]*CSP[p5, \ +p6] + CSP[p1, p2]*CSP[p3, p4]*CSP[p5, p6])"}, +{"fcstPauliTrace-ID18", +"PauliTrace[CSIS[p1,p2,p3,p4,p5,p6,p7],PauliTraceEvaluate\[Rule]\ +True,FCE\[Rule]True]", +"(2*I)*(CSP[p4, p7]*CSP[p5, p6]*CLC[][p1, p2, p3] - CSP[p4, \ +p6]*CSP[p5, p7]*CLC[][p1, p2, p3] + CSP[p4, p5]*CSP[p6, p7]*CLC[][p1, \ +p2, p3] + CSP[p2, p3]*CSP[p6, p7]*CLC[][p1, p4, p5] + CSP[p2, \ +p3]*CSP[p4, p5]*CLC[][p1, p6, p7] - CSP[p1, p3]*CSP[p6, p7]*CLC[][p2, \ +p4, p5] - CSP[p1, p3]*CSP[p4, p5]*CLC[][p2, p6, p7] + CSP[p1, \ +p2]*CSP[p6, p7]*CLC[][p3, p4, p5] + CSP[p1, p2]*CSP[p4, p5]*CLC[][p3, \ +p6, p7] - CSP[p1, p5]*CSP[p2, p3]*CLC[][p4, p6, p7] + CSP[p1, \ +p3]*CSP[p2, p5]*CLC[][p4, p6, p7] - CSP[p1, p2]*CSP[p3, p5]*CLC[][p4, \ +p6, p7] + CSP[p1, p4]*CSP[p2, p3]*CLC[][p5, p6, p7] - CSP[p1, \ +p3]*CSP[p2, p4]*CLC[][p5, p6, p7] + CSP[p1, p2]*CSP[p3, p4]*CLC[][p5, \ +p6, p7])"}, +{"fcstPauliTrace-ID19", +"PauliTrace[CSIS[p1,p2,p3,p4,p5,p6,p7,p],PauliTraceEvaluate\[Rule]\ +True,FCE\[Rule]True]", +"2*(CSP[p, p7]*CSP[p1, p6]*CSP[p2, p5]*CSP[p3, p4] - CSP[p, \ +p6]*CSP[p1, p7]*CSP[p2, p5]*CSP[p3, p4] - CSP[p, p7]*CSP[p1, \ +p5]*CSP[p2, p6]*CSP[p3, p4] + CSP[p, p5]*CSP[p1, p7]*CSP[p2, \ +p6]*CSP[p3, p4] + CSP[p, p6]*CSP[p1, p5]*CSP[p2, p7]*CSP[p3, p4] - \ +CSP[p, p5]*CSP[p1, p6]*CSP[p2, p7]*CSP[p3, p4] - CSP[p, p7]*CSP[p1, \ +p6]*CSP[p2, p4]*CSP[p3, p5] + CSP[p, p6]*CSP[p1, p7]*CSP[p2, \ +p4]*CSP[p3, p5] + CSP[p, p7]*CSP[p1, p4]*CSP[p2, p6]*CSP[p3, p5] - \ +CSP[p, p4]*CSP[p1, p7]*CSP[p2, p6]*CSP[p3, p5] - CSP[p, p6]*CSP[p1, \ +p4]*CSP[p2, p7]*CSP[p3, p5] + CSP[p, p4]*CSP[p1, p6]*CSP[p2, \ +p7]*CSP[p3, p5] + CSP[p, p7]*CSP[p1, p5]*CSP[p2, p4]*CSP[p3, p6] - \ +CSP[p, p5]*CSP[p1, p7]*CSP[p2, p4]*CSP[p3, p6] - CSP[p, p7]*CSP[p1, \ +p4]*CSP[p2, p5]*CSP[p3, p6] + CSP[p, p4]*CSP[p1, p7]*CSP[p2, \ +p5]*CSP[p3, p6] + CSP[p, p5]*CSP[p1, p4]*CSP[p2, p7]*CSP[p3, p6] - \ +CSP[p, p4]*CSP[p1, p5]*CSP[p2, p7]*CSP[p3, p6] - CSP[p, p6]*CSP[p1, \ +p5]*CSP[p2, p4]*CSP[p3, p7] + CSP[p, p5]*CSP[p1, p6]*CSP[p2, \ +p4]*CSP[p3, p7] + CSP[p, p6]*CSP[p1, p4]*CSP[p2, p5]*CSP[p3, p7] - \ +CSP[p, p4]*CSP[p1, p6]*CSP[p2, p5]*CSP[p3, p7] - CSP[p, p5]*CSP[p1, \ +p4]*CSP[p2, p6]*CSP[p3, p7] + CSP[p, p4]*CSP[p1, p5]*CSP[p2, \ +p6]*CSP[p3, p7] + CSP[p, p7]*CSP[p1, p6]*CSP[p2, p3]*CSP[p4, p5] - \ +CSP[p, p6]*CSP[p1, p7]*CSP[p2, p3]*CSP[p4, p5] - CSP[p, p7]*CSP[p1, \ +p3]*CSP[p2, p6]*CSP[p4, p5] + CSP[p, p3]*CSP[p1, p7]*CSP[p2, \ +p6]*CSP[p4, p5] + CSP[p, p6]*CSP[p1, p3]*CSP[p2, p7]*CSP[p4, p5] - \ +CSP[p, p3]*CSP[p1, p6]*CSP[p2, p7]*CSP[p4, p5] + CSP[p, p7]*CSP[p1, \ +p2]*CSP[p3, p6]*CSP[p4, p5] - CSP[p, p2]*CSP[p1, p7]*CSP[p3, \ +p6]*CSP[p4, p5] + CSP[p, p1]*CSP[p2, p7]*CSP[p3, p6]*CSP[p4, p5] - \ +CSP[p, p6]*CSP[p1, p2]*CSP[p3, p7]*CSP[p4, p5] + CSP[p, p2]*CSP[p1, \ +p6]*CSP[p3, p7]*CSP[p4, p5] - CSP[p, p1]*CSP[p2, p6]*CSP[p3, \ +p7]*CSP[p4, p5] - CSP[p, p7]*CSP[p1, p5]*CSP[p2, p3]*CSP[p4, p6] + \ +CSP[p, p5]*CSP[p1, p7]*CSP[p2, p3]*CSP[p4, p6] + CSP[p, p7]*CSP[p1, \ +p3]*CSP[p2, p5]*CSP[p4, p6] - CSP[p, p3]*CSP[p1, p7]*CSP[p2, \ +p5]*CSP[p4, p6] - CSP[p, p5]*CSP[p1, p3]*CSP[p2, p7]*CSP[p4, p6] + \ +CSP[p, p3]*CSP[p1, p5]*CSP[p2, p7]*CSP[p4, p6] - CSP[p, p7]*CSP[p1, \ +p2]*CSP[p3, p5]*CSP[p4, p6] + CSP[p, p2]*CSP[p1, p7]*CSP[p3, \ +p5]*CSP[p4, p6] - CSP[p, p1]*CSP[p2, p7]*CSP[p3, p5]*CSP[p4, p6] + \ +CSP[p, p5]*CSP[p1, p2]*CSP[p3, p7]*CSP[p4, p6] - CSP[p, p2]*CSP[p1, \ +p5]*CSP[p3, p7]*CSP[p4, p6] + CSP[p, p1]*CSP[p2, p5]*CSP[p3, \ +p7]*CSP[p4, p6] + CSP[p, p6]*CSP[p1, p5]*CSP[p2, p3]*CSP[p4, p7] - \ +CSP[p, p5]*CSP[p1, p6]*CSP[p2, p3]*CSP[p4, p7] - CSP[p, p6]*CSP[p1, \ +p3]*CSP[p2, p5]*CSP[p4, p7] + CSP[p, p3]*CSP[p1, p6]*CSP[p2, \ +p5]*CSP[p4, p7] + CSP[p, p5]*CSP[p1, p3]*CSP[p2, p6]*CSP[p4, p7] - \ +CSP[p, p3]*CSP[p1, p5]*CSP[p2, p6]*CSP[p4, p7] + CSP[p, p6]*CSP[p1, \ +p2]*CSP[p3, p5]*CSP[p4, p7] - CSP[p, p2]*CSP[p1, p6]*CSP[p3, \ +p5]*CSP[p4, p7] + CSP[p, p1]*CSP[p2, p6]*CSP[p3, p5]*CSP[p4, p7] - \ +CSP[p, p5]*CSP[p1, p2]*CSP[p3, p6]*CSP[p4, p7] + CSP[p, p2]*CSP[p1, \ +p5]*CSP[p3, p6]*CSP[p4, p7] - CSP[p, p1]*CSP[p2, p5]*CSP[p3, \ +p6]*CSP[p4, p7] + CSP[p, p7]*CSP[p1, p4]*CSP[p2, p3]*CSP[p5, p6] - \ +CSP[p, p4]*CSP[p1, p7]*CSP[p2, p3]*CSP[p5, p6] - CSP[p, p7]*CSP[p1, \ +p3]*CSP[p2, p4]*CSP[p5, p6] + CSP[p, p3]*CSP[p1, p7]*CSP[p2, \ +p4]*CSP[p5, p6] + CSP[p, p4]*CSP[p1, p3]*CSP[p2, p7]*CSP[p5, p6] - \ +CSP[p, p3]*CSP[p1, p4]*CSP[p2, p7]*CSP[p5, p6] + CSP[p, p7]*CSP[p1, \ +p2]*CSP[p3, p4]*CSP[p5, p6] - CSP[p, p2]*CSP[p1, p7]*CSP[p3, \ +p4]*CSP[p5, p6] + CSP[p, p1]*CSP[p2, p7]*CSP[p3, p4]*CSP[p5, p6] - \ +CSP[p, p4]*CSP[p1, p2]*CSP[p3, p7]*CSP[p5, p6] + CSP[p, p2]*CSP[p1, \ +p4]*CSP[p3, p7]*CSP[p5, p6] - CSP[p, p1]*CSP[p2, p4]*CSP[p3, \ +p7]*CSP[p5, p6] + CSP[p, p3]*CSP[p1, p2]*CSP[p4, p7]*CSP[p5, p6] - \ +CSP[p, p2]*CSP[p1, p3]*CSP[p4, p7]*CSP[p5, p6] + CSP[p, p1]*CSP[p2, \ +p3]*CSP[p4, p7]*CSP[p5, p6] - CSP[p, p6]*CSP[p1, p4]*CSP[p2, \ +p3]*CSP[p5, p7] + CSP[p, p4]*CSP[p1, p6]*CSP[p2, p3]*CSP[p5, p7] + \ +CSP[p, p6]*CSP[p1, p3]*CSP[p2, p4]*CSP[p5, p7] - CSP[p, p3]*CSP[p1, \ +p6]*CSP[p2, p4]*CSP[p5, p7] - CSP[p, p4]*CSP[p1, p3]*CSP[p2, \ +p6]*CSP[p5, p7] + CSP[p, p3]*CSP[p1, p4]*CSP[p2, p6]*CSP[p5, p7] - \ +CSP[p, p6]*CSP[p1, p2]*CSP[p3, p4]*CSP[p5, p7] + CSP[p, p2]*CSP[p1, \ +p6]*CSP[p3, p4]*CSP[p5, p7] - CSP[p, p1]*CSP[p2, p6]*CSP[p3, \ +p4]*CSP[p5, p7] + CSP[p, p4]*CSP[p1, p2]*CSP[p3, p6]*CSP[p5, p7] - \ +CSP[p, p2]*CSP[p1, p4]*CSP[p3, p6]*CSP[p5, p7] + CSP[p, p1]*CSP[p2, \ +p4]*CSP[p3, p6]*CSP[p5, p7] - CSP[p, p3]*CSP[p1, p2]*CSP[p4, \ +p6]*CSP[p5, p7] + CSP[p, p2]*CSP[p1, p3]*CSP[p4, p6]*CSP[p5, p7] - \ +CSP[p, p1]*CSP[p2, p3]*CSP[p4, p6]*CSP[p5, p7] + CSP[p, p5]*CSP[p1, \ +p4]*CSP[p2, p3]*CSP[p6, p7] - CSP[p, p4]*CSP[p1, p5]*CSP[p2, \ +p3]*CSP[p6, p7] - CSP[p, p5]*CSP[p1, p3]*CSP[p2, p4]*CSP[p6, p7] + \ +CSP[p, p3]*CSP[p1, p5]*CSP[p2, p4]*CSP[p6, p7] + CSP[p, p4]*CSP[p1, \ +p3]*CSP[p2, p5]*CSP[p6, p7] - CSP[p, p3]*CSP[p1, p4]*CSP[p2, \ +p5]*CSP[p6, p7] + CSP[p, p5]*CSP[p1, p2]*CSP[p3, p4]*CSP[p6, p7] - \ +CSP[p, p2]*CSP[p1, p5]*CSP[p3, p4]*CSP[p6, p7] + CSP[p, p1]*CSP[p2, \ +p5]*CSP[p3, p4]*CSP[p6, p7] - CSP[p, p4]*CSP[p1, p2]*CSP[p3, \ +p5]*CSP[p6, p7] + CSP[p, p2]*CSP[p1, p4]*CSP[p3, p5]*CSP[p6, p7] - \ +CSP[p, p1]*CSP[p2, p4]*CSP[p3, p5]*CSP[p6, p7] + CSP[p, p3]*CSP[p1, \ +p2]*CSP[p4, p5]*CSP[p6, p7] - CSP[p, p2]*CSP[p1, p3]*CSP[p4, \ +p5]*CSP[p6, p7] + CSP[p, p1]*CSP[p2, p3]*CSP[p4, p5]*CSP[p6, p7])"}, +{"fcstPauliTrace-ID20", +"FCSetPauliSigmaScheme[\"Naive\"];PauliTrace[CSID[i],\ +PauliTraceEvaluate\[Rule]True,FCE\[Rule]True]", "0"}, +{"fcstPauliTrace-ID21", +"PauliTrace[CSID[i,j],PauliTraceEvaluate\[Rule]True,FCE\[Rule]True]\ +", "2*KDD[i, j]"}, +{"fcstPauliTrace-ID22", +"PauliTrace[CSID[i,j,k],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "PauliTrace[CSID[i] . CSID[j] . CSID[k]]"}, +{"fcstPauliTrace-ID23", +"PauliTrace[CSID[i,j,k,l],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "2*(KDD[i, l]*KDD[j, k] - KDD[i, k]*KDD[j, l] + KDD[i, \ +j]*KDD[k, l])"}, +{"fcstPauliTrace-ID24", +"PauliTrace[CSID[i,j,k,l,m],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"PauliTrace[CSID[i] . CSID[j] . CSID[k] . CSID[l] . CSID[m]]"}, +{"fcstPauliTrace-ID25", +"PauliTrace[CSID[i,j,k,l,m,n],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"2*(KDD[i, n]*KDD[j, m]*KDD[k, l] - KDD[i, m]*KDD[j, n]*KDD[k, l] \ +- KDD[i, n]*KDD[j, l]*KDD[k, m] + KDD[i, l]*KDD[j, n]*KDD[k, m] + \ +KDD[i, m]*KDD[j, l]*KDD[k, n] - KDD[i, l]*KDD[j, m]*KDD[k, n] + \ +KDD[i, n]*KDD[j, k]*KDD[l, m] - KDD[i, k]*KDD[j, n]*KDD[l, m] + \ +KDD[i, j]*KDD[k, n]*KDD[l, m] - KDD[i, m]*KDD[j, k]*KDD[l, n] + \ +KDD[i, k]*KDD[j, m]*KDD[l, n] - KDD[i, j]*KDD[k, m]*KDD[l, n] + \ +KDD[i, l]*KDD[j, k]*KDD[m, n] - KDD[i, k]*KDD[j, l]*KDD[m, n] + \ +KDD[i, j]*KDD[k, l]*KDD[m, n])"}, +{"fcstPauliTrace-ID26", +"PauliTrace[CSID[i,j,k,l,m,n,o],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"PauliTrace[CSID[i] . CSID[j] . CSID[k] . CSID[l] . CSID[m] . \ +CSID[n] . CSID[o]]"}, +{"fcstPauliTrace-ID27", +"PauliTrace[CSID[i,j,k,l,m,n,o,p],PauliTraceEvaluate\[Rule]True,\ +FCE\[Rule]True]", +"2*(KDD[i, p]*KDD[j, o]*KDD[k, n]*KDD[l, m] - KDD[i, o]*KDD[j, \ +p]*KDD[k, n]*KDD[l, m] - KDD[i, p]*KDD[j, n]*KDD[k, o]*KDD[l, m] + \ +KDD[i, n]*KDD[j, p]*KDD[k, o]*KDD[l, m] + KDD[i, o]*KDD[j, n]*KDD[k, \ +p]*KDD[l, m] - KDD[i, n]*KDD[j, o]*KDD[k, p]*KDD[l, m] - KDD[i, \ +p]*KDD[j, o]*KDD[k, m]*KDD[l, n] + KDD[i, o]*KDD[j, p]*KDD[k, \ +m]*KDD[l, n] + KDD[i, p]*KDD[j, m]*KDD[k, o]*KDD[l, n] - KDD[i, \ +m]*KDD[j, p]*KDD[k, o]*KDD[l, n] - KDD[i, o]*KDD[j, m]*KDD[k, \ +p]*KDD[l, n] + KDD[i, m]*KDD[j, o]*KDD[k, p]*KDD[l, n] + KDD[i, \ +p]*KDD[j, n]*KDD[k, m]*KDD[l, o] - KDD[i, n]*KDD[j, p]*KDD[k, \ +m]*KDD[l, o] - KDD[i, p]*KDD[j, m]*KDD[k, n]*KDD[l, o] + KDD[i, \ +m]*KDD[j, p]*KDD[k, n]*KDD[l, o] + KDD[i, n]*KDD[j, m]*KDD[k, \ +p]*KDD[l, o] - KDD[i, m]*KDD[j, n]*KDD[k, p]*KDD[l, o] - KDD[i, \ +o]*KDD[j, n]*KDD[k, m]*KDD[l, p] + KDD[i, n]*KDD[j, o]*KDD[k, \ +m]*KDD[l, p] + KDD[i, o]*KDD[j, m]*KDD[k, n]*KDD[l, p] - KDD[i, \ +m]*KDD[j, o]*KDD[k, n]*KDD[l, p] - KDD[i, n]*KDD[j, m]*KDD[k, \ +o]*KDD[l, p] + KDD[i, m]*KDD[j, n]*KDD[k, o]*KDD[l, p] + KDD[i, \ +p]*KDD[j, o]*KDD[k, l]*KDD[m, n] - KDD[i, o]*KDD[j, p]*KDD[k, \ +l]*KDD[m, n] - KDD[i, p]*KDD[j, l]*KDD[k, o]*KDD[m, n] + KDD[i, \ +l]*KDD[j, p]*KDD[k, o]*KDD[m, n] + KDD[i, o]*KDD[j, l]*KDD[k, \ +p]*KDD[m, n] - KDD[i, l]*KDD[j, o]*KDD[k, p]*KDD[m, n] + KDD[i, \ +p]*KDD[j, k]*KDD[l, o]*KDD[m, n] - KDD[i, k]*KDD[j, p]*KDD[l, \ +o]*KDD[m, n] + KDD[i, j]*KDD[k, p]*KDD[l, o]*KDD[m, n] - KDD[i, \ +o]*KDD[j, k]*KDD[l, p]*KDD[m, n] + KDD[i, k]*KDD[j, o]*KDD[l, \ +p]*KDD[m, n] - KDD[i, j]*KDD[k, o]*KDD[l, p]*KDD[m, n] - KDD[i, \ +p]*KDD[j, n]*KDD[k, l]*KDD[m, o] + KDD[i, n]*KDD[j, p]*KDD[k, \ +l]*KDD[m, o] + KDD[i, p]*KDD[j, l]*KDD[k, n]*KDD[m, o] - KDD[i, \ +l]*KDD[j, p]*KDD[k, n]*KDD[m, o] - KDD[i, n]*KDD[j, l]*KDD[k, \ +p]*KDD[m, o] + KDD[i, l]*KDD[j, n]*KDD[k, p]*KDD[m, o] - KDD[i, \ +p]*KDD[j, k]*KDD[l, n]*KDD[m, o] + KDD[i, k]*KDD[j, p]*KDD[l, \ +n]*KDD[m, o] - KDD[i, j]*KDD[k, p]*KDD[l, n]*KDD[m, o] + KDD[i, \ +n]*KDD[j, k]*KDD[l, p]*KDD[m, o] - KDD[i, k]*KDD[j, n]*KDD[l, \ +p]*KDD[m, o] + KDD[i, j]*KDD[k, n]*KDD[l, p]*KDD[m, o] + KDD[i, \ +o]*KDD[j, n]*KDD[k, l]*KDD[m, p] - KDD[i, n]*KDD[j, o]*KDD[k, \ +l]*KDD[m, p] - KDD[i, o]*KDD[j, l]*KDD[k, n]*KDD[m, p] + KDD[i, \ +l]*KDD[j, o]*KDD[k, n]*KDD[m, p] + KDD[i, n]*KDD[j, l]*KDD[k, \ +o]*KDD[m, p] - KDD[i, l]*KDD[j, n]*KDD[k, o]*KDD[m, p] + KDD[i, \ +o]*KDD[j, k]*KDD[l, n]*KDD[m, p] - KDD[i, k]*KDD[j, o]*KDD[l, \ +n]*KDD[m, p] + KDD[i, j]*KDD[k, o]*KDD[l, n]*KDD[m, p] - KDD[i, \ +n]*KDD[j, k]*KDD[l, o]*KDD[m, p] + KDD[i, k]*KDD[j, n]*KDD[l, \ +o]*KDD[m, p] - KDD[i, j]*KDD[k, n]*KDD[l, o]*KDD[m, p] + KDD[i, \ +p]*KDD[j, m]*KDD[k, l]*KDD[n, o] - KDD[i, m]*KDD[j, p]*KDD[k, \ +l]*KDD[n, o] - KDD[i, p]*KDD[j, l]*KDD[k, m]*KDD[n, o] + KDD[i, \ +l]*KDD[j, p]*KDD[k, m]*KDD[n, o] + KDD[i, m]*KDD[j, l]*KDD[k, \ +p]*KDD[n, o] - KDD[i, l]*KDD[j, m]*KDD[k, p]*KDD[n, o] + KDD[i, \ +p]*KDD[j, k]*KDD[l, m]*KDD[n, o] - KDD[i, k]*KDD[j, p]*KDD[l, \ +m]*KDD[n, o] + KDD[i, j]*KDD[k, p]*KDD[l, m]*KDD[n, o] - KDD[i, \ +m]*KDD[j, k]*KDD[l, p]*KDD[n, o] + KDD[i, k]*KDD[j, m]*KDD[l, \ +p]*KDD[n, o] - KDD[i, j]*KDD[k, m]*KDD[l, p]*KDD[n, o] + KDD[i, \ +l]*KDD[j, k]*KDD[m, p]*KDD[n, o] - KDD[i, k]*KDD[j, l]*KDD[m, \ +p]*KDD[n, o] + KDD[i, j]*KDD[k, l]*KDD[m, p]*KDD[n, o] - KDD[i, \ +o]*KDD[j, m]*KDD[k, l]*KDD[n, p] + KDD[i, m]*KDD[j, o]*KDD[k, \ +l]*KDD[n, p] + KDD[i, o]*KDD[j, l]*KDD[k, m]*KDD[n, p] - KDD[i, \ +l]*KDD[j, o]*KDD[k, m]*KDD[n, p] - KDD[i, m]*KDD[j, l]*KDD[k, \ +o]*KDD[n, p] + KDD[i, l]*KDD[j, m]*KDD[k, o]*KDD[n, p] - KDD[i, \ +o]*KDD[j, k]*KDD[l, m]*KDD[n, p] + KDD[i, k]*KDD[j, o]*KDD[l, \ +m]*KDD[n, p] - KDD[i, j]*KDD[k, o]*KDD[l, m]*KDD[n, p] + KDD[i, \ +m]*KDD[j, k]*KDD[l, o]*KDD[n, p] - KDD[i, k]*KDD[j, m]*KDD[l, \ +o]*KDD[n, p] + KDD[i, j]*KDD[k, m]*KDD[l, o]*KDD[n, p] - KDD[i, \ +l]*KDD[j, k]*KDD[m, o]*KDD[n, p] + KDD[i, k]*KDD[j, l]*KDD[m, \ +o]*KDD[n, p] - KDD[i, j]*KDD[k, l]*KDD[m, o]*KDD[n, p] + KDD[i, \ +n]*KDD[j, m]*KDD[k, l]*KDD[o, p] - KDD[i, m]*KDD[j, n]*KDD[k, \ +l]*KDD[o, p] - KDD[i, n]*KDD[j, l]*KDD[k, m]*KDD[o, p] + KDD[i, \ +l]*KDD[j, n]*KDD[k, m]*KDD[o, p] + KDD[i, m]*KDD[j, l]*KDD[k, \ +n]*KDD[o, p] - KDD[i, l]*KDD[j, m]*KDD[k, n]*KDD[o, p] + KDD[i, \ +n]*KDD[j, k]*KDD[l, m]*KDD[o, p] - KDD[i, k]*KDD[j, n]*KDD[l, \ +m]*KDD[o, p] + KDD[i, j]*KDD[k, n]*KDD[l, m]*KDD[o, p] - KDD[i, \ +m]*KDD[j, k]*KDD[l, n]*KDD[o, p] + KDD[i, k]*KDD[j, m]*KDD[l, \ +n]*KDD[o, p] - KDD[i, j]*KDD[k, m]*KDD[l, n]*KDD[o, p] + KDD[i, \ +l]*KDD[j, k]*KDD[m, n]*KDD[o, p] - KDD[i, k]*KDD[j, l]*KDD[m, \ +n]*KDD[o, p] + KDD[i, j]*KDD[k, l]*KDD[m, n]*KDD[o, p])"}, +{"fcstPauliTrace-ID28", +"FCSetPauliSigmaScheme[\"None\"];PauliTrace[CSID[i],\ +PauliTraceEvaluate\[Rule]True,FCE\[Rule]True]", "0"}, +{"fcstPauliTrace-ID29", +"PauliTrace[CSID[i,j],PauliTraceEvaluate\[Rule]True,FCE\[Rule]True]\ +", "2*KDD[i, j]"}, +{"fcstPauliTrace-ID30", +"PauliTrace[CSID[i,j,k],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "PauliTrace[CSID[i] . CSID[j] . CSID[k]]"}, +{"fcstPauliTrace-ID31", +"PauliTrace[CSID[i,j,k,l],PauliTraceEvaluate\[Rule]True,FCE\[Rule]\ +True]", "2*(KDD[i, l]*KDD[j, k] - KDD[i, k]*KDD[j, l] + KDD[i, \ +j]*KDD[k, l])"}, +{"fcstPauliTrace-ID32", +"PauliTrace[CSID[i,j,k,l,m],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"PauliTrace[CSID[i] . CSID[j] . CSID[k] . CSID[l] . CSID[m]]"}, +{"fcstPauliTrace-ID33", +"PauliTrace[CSID[i,j,k,l,m,n],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"2*(KDD[i, n]*KDD[j, m]*KDD[k, l] - KDD[i, m]*KDD[j, n]*KDD[k, l] \ +- KDD[i, n]*KDD[j, l]*KDD[k, m] + KDD[i, l]*KDD[j, n]*KDD[k, m] + \ +KDD[i, m]*KDD[j, l]*KDD[k, n] - KDD[i, l]*KDD[j, m]*KDD[k, n] + \ +KDD[i, n]*KDD[j, k]*KDD[l, m] - KDD[i, k]*KDD[j, n]*KDD[l, m] + \ +KDD[i, j]*KDD[k, n]*KDD[l, m] - KDD[i, m]*KDD[j, k]*KDD[l, n] + \ +KDD[i, k]*KDD[j, m]*KDD[l, n] - KDD[i, j]*KDD[k, m]*KDD[l, n] + \ +KDD[i, l]*KDD[j, k]*KDD[m, n] - KDD[i, k]*KDD[j, l]*KDD[m, n] + \ +KDD[i, j]*KDD[k, l]*KDD[m, n])"}, +{"fcstPauliTrace-ID34", +"PauliTrace[CSID[i,j,k,l,m,n,o],PauliTraceEvaluate\[Rule]True,FCE\ +\[Rule]True]", +"PauliTrace[CSID[i] . CSID[j] . CSID[k] . CSID[l] . CSID[m] . \ +CSID[n] . CSID[o]]"}, +{"fcstPauliTrace-ID35", +"PauliTrace[CSID[i,j,k,l,m,n,o,p],PauliTraceEvaluate\[Rule]True,\ +FCE\[Rule]True]", +"2*(KDD[i, p]*KDD[j, o]*KDD[k, n]*KDD[l, m] - KDD[i, o]*KDD[j, \ +p]*KDD[k, n]*KDD[l, m] - KDD[i, p]*KDD[j, n]*KDD[k, o]*KDD[l, m] + \ +KDD[i, n]*KDD[j, p]*KDD[k, o]*KDD[l, m] + KDD[i, o]*KDD[j, n]*KDD[k, \ +p]*KDD[l, m] - KDD[i, n]*KDD[j, o]*KDD[k, p]*KDD[l, m] - KDD[i, \ +p]*KDD[j, o]*KDD[k, m]*KDD[l, n] + KDD[i, o]*KDD[j, p]*KDD[k, \ +m]*KDD[l, n] + KDD[i, p]*KDD[j, m]*KDD[k, o]*KDD[l, n] - KDD[i, \ +m]*KDD[j, p]*KDD[k, o]*KDD[l, n] - KDD[i, o]*KDD[j, m]*KDD[k, \ +p]*KDD[l, n] + KDD[i, m]*KDD[j, o]*KDD[k, p]*KDD[l, n] + KDD[i, \ +p]*KDD[j, n]*KDD[k, m]*KDD[l, o] - KDD[i, n]*KDD[j, p]*KDD[k, \ +m]*KDD[l, o] - KDD[i, p]*KDD[j, m]*KDD[k, n]*KDD[l, o] + KDD[i, \ +m]*KDD[j, p]*KDD[k, n]*KDD[l, o] + KDD[i, n]*KDD[j, m]*KDD[k, \ +p]*KDD[l, o] - KDD[i, m]*KDD[j, n]*KDD[k, p]*KDD[l, o] - KDD[i, \ +o]*KDD[j, n]*KDD[k, m]*KDD[l, p] + KDD[i, n]*KDD[j, o]*KDD[k, \ +m]*KDD[l, p] + KDD[i, o]*KDD[j, m]*KDD[k, n]*KDD[l, p] - KDD[i, \ +m]*KDD[j, o]*KDD[k, n]*KDD[l, p] - KDD[i, n]*KDD[j, m]*KDD[k, \ +o]*KDD[l, p] + KDD[i, m]*KDD[j, n]*KDD[k, o]*KDD[l, p] + KDD[i, \ +p]*KDD[j, o]*KDD[k, l]*KDD[m, n] - KDD[i, o]*KDD[j, p]*KDD[k, \ +l]*KDD[m, n] - KDD[i, p]*KDD[j, l]*KDD[k, o]*KDD[m, n] + KDD[i, \ +l]*KDD[j, p]*KDD[k, o]*KDD[m, n] + KDD[i, o]*KDD[j, l]*KDD[k, \ +p]*KDD[m, n] - KDD[i, l]*KDD[j, o]*KDD[k, p]*KDD[m, n] + KDD[i, \ +p]*KDD[j, k]*KDD[l, o]*KDD[m, n] - KDD[i, k]*KDD[j, p]*KDD[l, \ +o]*KDD[m, n] + KDD[i, j]*KDD[k, p]*KDD[l, o]*KDD[m, n] - KDD[i, \ +o]*KDD[j, k]*KDD[l, p]*KDD[m, n] + KDD[i, k]*KDD[j, o]*KDD[l, \ +p]*KDD[m, n] - KDD[i, j]*KDD[k, o]*KDD[l, p]*KDD[m, n] - KDD[i, \ +p]*KDD[j, n]*KDD[k, l]*KDD[m, o] + KDD[i, n]*KDD[j, p]*KDD[k, \ +l]*KDD[m, o] + KDD[i, p]*KDD[j, l]*KDD[k, n]*KDD[m, o] - KDD[i, \ +l]*KDD[j, p]*KDD[k, n]*KDD[m, o] - KDD[i, n]*KDD[j, l]*KDD[k, \ +p]*KDD[m, o] + KDD[i, l]*KDD[j, n]*KDD[k, p]*KDD[m, o] - KDD[i, \ +p]*KDD[j, k]*KDD[l, n]*KDD[m, o] + KDD[i, k]*KDD[j, p]*KDD[l, \ +n]*KDD[m, o] - KDD[i, j]*KDD[k, p]*KDD[l, n]*KDD[m, o] + KDD[i, \ +n]*KDD[j, k]*KDD[l, p]*KDD[m, o] - KDD[i, k]*KDD[j, n]*KDD[l, \ +p]*KDD[m, o] + KDD[i, j]*KDD[k, n]*KDD[l, p]*KDD[m, o] + KDD[i, \ +o]*KDD[j, n]*KDD[k, l]*KDD[m, p] - KDD[i, n]*KDD[j, o]*KDD[k, \ +l]*KDD[m, p] - KDD[i, o]*KDD[j, l]*KDD[k, n]*KDD[m, p] + KDD[i, \ +l]*KDD[j, o]*KDD[k, n]*KDD[m, p] + KDD[i, n]*KDD[j, l]*KDD[k, \ +o]*KDD[m, p] - KDD[i, l]*KDD[j, n]*KDD[k, o]*KDD[m, p] + KDD[i, \ +o]*KDD[j, k]*KDD[l, n]*KDD[m, p] - KDD[i, k]*KDD[j, o]*KDD[l, \ +n]*KDD[m, p] + KDD[i, j]*KDD[k, o]*KDD[l, n]*KDD[m, p] - KDD[i, \ +n]*KDD[j, k]*KDD[l, o]*KDD[m, p] + KDD[i, k]*KDD[j, n]*KDD[l, \ +o]*KDD[m, p] - KDD[i, j]*KDD[k, n]*KDD[l, o]*KDD[m, p] + KDD[i, \ +p]*KDD[j, m]*KDD[k, l]*KDD[n, o] - KDD[i, m]*KDD[j, p]*KDD[k, \ +l]*KDD[n, o] - KDD[i, p]*KDD[j, l]*KDD[k, m]*KDD[n, o] + KDD[i, \ +l]*KDD[j, p]*KDD[k, m]*KDD[n, o] + KDD[i, m]*KDD[j, l]*KDD[k, \ +p]*KDD[n, o] - KDD[i, l]*KDD[j, m]*KDD[k, p]*KDD[n, o] + KDD[i, \ +p]*KDD[j, k]*KDD[l, m]*KDD[n, o] - KDD[i, k]*KDD[j, p]*KDD[l, \ +m]*KDD[n, o] + KDD[i, j]*KDD[k, p]*KDD[l, m]*KDD[n, o] - KDD[i, \ +m]*KDD[j, k]*KDD[l, p]*KDD[n, o] + KDD[i, k]*KDD[j, m]*KDD[l, \ +p]*KDD[n, o] - KDD[i, j]*KDD[k, m]*KDD[l, p]*KDD[n, o] + KDD[i, \ +l]*KDD[j, k]*KDD[m, p]*KDD[n, o] - KDD[i, k]*KDD[j, l]*KDD[m, \ +p]*KDD[n, o] + KDD[i, j]*KDD[k, l]*KDD[m, p]*KDD[n, o] - KDD[i, \ +o]*KDD[j, m]*KDD[k, l]*KDD[n, p] + KDD[i, m]*KDD[j, o]*KDD[k, \ +l]*KDD[n, p] + KDD[i, o]*KDD[j, l]*KDD[k, m]*KDD[n, p] - KDD[i, \ +l]*KDD[j, o]*KDD[k, m]*KDD[n, p] - KDD[i, m]*KDD[j, l]*KDD[k, \ +o]*KDD[n, p] + KDD[i, l]*KDD[j, m]*KDD[k, o]*KDD[n, p] - KDD[i, \ +o]*KDD[j, k]*KDD[l, m]*KDD[n, p] + KDD[i, k]*KDD[j, o]*KDD[l, \ +m]*KDD[n, p] - KDD[i, j]*KDD[k, o]*KDD[l, m]*KDD[n, p] + KDD[i, \ +m]*KDD[j, k]*KDD[l, o]*KDD[n, p] - KDD[i, k]*KDD[j, m]*KDD[l, \ +o]*KDD[n, p] + KDD[i, j]*KDD[k, m]*KDD[l, o]*KDD[n, p] - KDD[i, \ +l]*KDD[j, k]*KDD[m, o]*KDD[n, p] + KDD[i, k]*KDD[j, l]*KDD[m, \ +o]*KDD[n, p] - KDD[i, j]*KDD[k, l]*KDD[m, o]*KDD[n, p] + KDD[i, \ +n]*KDD[j, m]*KDD[k, l]*KDD[o, p] - KDD[i, m]*KDD[j, n]*KDD[k, \ +l]*KDD[o, p] - KDD[i, n]*KDD[j, l]*KDD[k, m]*KDD[o, p] + KDD[i, \ +l]*KDD[j, n]*KDD[k, m]*KDD[o, p] + KDD[i, m]*KDD[j, l]*KDD[k, \ +n]*KDD[o, p] - KDD[i, l]*KDD[j, m]*KDD[k, n]*KDD[o, p] + KDD[i, \ +n]*KDD[j, k]*KDD[l, m]*KDD[o, p] - KDD[i, k]*KDD[j, n]*KDD[l, \ +m]*KDD[o, p] + KDD[i, j]*KDD[k, n]*KDD[l, m]*KDD[o, p] - KDD[i, \ +m]*KDD[j, k]*KDD[l, n]*KDD[o, p] + KDD[i, k]*KDD[j, m]*KDD[l, \ +n]*KDD[o, p] - KDD[i, j]*KDD[k, m]*KDD[l, n]*KDD[o, p] + KDD[i, \ +l]*KDD[j, k]*KDD[m, n]*KDD[o, p] - KDD[i, k]*KDD[j, l]*KDD[m, \ +n]*KDD[o, p] + KDD[i, j]*KDD[k, l]*KDD[m, n]*KDD[o, p])"} +}); diff --git a/Tests/Pauli/PauliTrick.test b/Tests/Pauli/PauliTrick.test index 9c3c928f4..87c967a57 100644 --- a/Tests/Pauli/PauliTrick.test +++ b/Tests/Pauli/PauliTrick.test @@ -164,3 +164,42 @@ PauliSigma[CartesianMomentum[p]]"}, "Contract[PauliTrick[PauliTrick[CSIS[p].CSI[j].CSIS[p]]-CSIS[p].CSI[j].CSIS[p]]]\ //FCCanonicalizeDummyIndices//EpsEvaluate", "0"} }); + +Tests`Pauli`fcstPauliTrickInsidePauliTrace = +({ +{"fcstPauliTrickInsidePauliTrace-ID1", +"PauliTrick[CSI[i],InsidePauliTrace\[Rule]True,FCE->True]", "0"}, +{"fcstPauliTrickInsidePauliTrace-ID2", +"PauliTrick[CSID[i],InsidePauliTrace\[Rule]True,FCE->True]", "0"}, +{"fcstPauliTrickInsidePauliTrace-ID3", +"PauliTrick[CSIS[p],InsidePauliTrace\[Rule]True,FCE->True]", "0"}, +{"fcstPauliTrickInsidePauliTrace-ID4", +"PauliTrick[CSISD[p],InsidePauliTrace\[Rule]True,FCE->True]", +"0"}, +{"fcstPauliTrickInsidePauliTrace-ID5", +"PauliTrick[CSI[i,i],InsidePauliTrace\[Rule]True,FCE->True]", +"3"}, +{"fcstPauliTrickInsidePauliTrace-ID6", +"PauliTrick[CSID[i,i],InsidePauliTrace\[Rule]True,FCE->True]", +"-1 + D"}, +{"fcstPauliTrickInsidePauliTrace-ID7", +"PauliTrick[CSIS[p,p],InsidePauliTrace\[Rule]True,FCE->True]", +"CSP[p, p]"}, +{"fcstPauliTrickInsidePauliTrace-ID8", +"PauliTrick[CSISD[p,p],InsidePauliTrace\[Rule]True,FCE->True]", +"CSPD[p, p]"}, +{"fcstPauliTrickInsidePauliTrace-ID9", +"PauliTrick[SI[i],InsidePauliTrace\[Rule]True,FCE->True]", "SI[i]"}, +{"fcstPauliTrickInsidePauliTrace-ID10", +"PauliTrick[SID[i],InsidePauliTrace\[Rule]True,FCE->True]", +"SID[i]"}, +{"fcstPauliTrickInsidePauliTrace-ID11", +"PauliTrick[SIS[p],InsidePauliTrace\[Rule]True,FCE->True]", +"SIS[p]"}, +{"fcstPauliTrickInsidePauliTrace-ID12", +"PauliTrick[SISD[p],InsidePauliTrace\[Rule]True,FCE->True]", +"SISD[p]"}, +{"fcstPauliTrickInsidePauliTrace-ID13", +"PauliTrick[CSI[i, j, k], InsidePauliTrace -> True, FCE -> True]", +"CSI[i].CSI[j].CSI[k]"} +}) From eb6177af8a249e986434534de518f6ebb4ad22a4 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 25 Mar 2020 21:20:54 +0100 Subject: [PATCH 36/86] Fixed a bug in the Phi Phi-> Phi Phi example (thanks to Huan Souza). --- FeynCalc/Examples/Phi4/OneLoop/PhiPhi-PhiPhi.m | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/FeynCalc/Examples/Phi4/OneLoop/PhiPhi-PhiPhi.m b/FeynCalc/Examples/Phi4/OneLoop/PhiPhi-PhiPhi.m index 3d8a56611..e53374355 100644 --- a/FeynCalc/Examples/Phi4/OneLoop/PhiPhi-PhiPhi.m +++ b/FeynCalc/Examples/Phi4/OneLoop/PhiPhi-PhiPhi.m @@ -132,10 +132,10 @@ ampFull[0]=Expand[(amp[2]+ampCT[0])/. - SMP["d_g^MSbar"] ->(3*g^2*SMP["Delta"])/(32*Pi^2)] + {SMP["d_g^MSbar"] ->(3*g*SMP["Delta"])/(32*Pi^2),Zphi->1}] -FCCompareResults[FreeQ[ampFull,SMP["Delta"]],True, +FCCompareResults[FreeQ[ampFull[0],SMP["Delta"]],True, Text->{"\tThe UV divergence is cancelled by the counter-term:", "CORRECT.","WRONG!"}, Interrupt->{Hold[Quit[1]],Automatic}]; @@ -164,3 +164,6 @@ Ex 10.4:", "CORRECT.","WRONG!"}, Interrupt->{Hold[Quit[1]],Automatic}]; Print["\tCPU Time used: ", Round[N[TimeUsed[],4],0.001], " s."]; + + + From a93b073a42858fbb568593f5f5ccac8cb753eaa9 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 27 Mar 2020 14:18:34 +0100 Subject: [PATCH 37/86] Fixed typos in the debuggin output. --- FeynCalc/Dirac/DiracTrick.m | 8 ++++---- FeynCalc/Dirac/SpinorChainTrick.m | 2 +- FeynCalc/ExportImport/FeynCalc2FORM.m | 24 +++++++++++------------ FeynCalc/Feynman/FCFADiracChainJoin.m | 2 +- FeynCalc/LoopIntegrals/Tdec.m | 7 +++---- FeynCalc/Lorentz/FCSchoutenBruteForce.m | 12 ++++++------ FeynCalc/Lorentz/Uncontract.m | 2 +- FeynCalc/NonCommAlgebra/DotSimplify.m | 6 +++--- FeynCalc/NonCommAlgebra/FCMatrixIsolate.m | 4 ++-- FeynCalc/Pauli/PauliTrace.m | 2 +- FeynCalc/Shared/Collect.m | 18 ++++++++--------- FeynCalc/Shared/Solve.m | 2 +- 12 files changed, 44 insertions(+), 45 deletions(-) diff --git a/FeynCalc/Dirac/DiracTrick.m b/FeynCalc/Dirac/DiracTrick.m index 97ca73fd2..e490f755a 100755 --- a/FeynCalc/Dirac/DiracTrick.m +++ b/FeynCalc/Dirac/DiracTrick.m @@ -529,15 +529,15 @@ create replacement rules (standard) and substitute the results back. gamma5Present = !FreeQ2[ex,{DiracGamma[5],DiracGamma[6],DiracGamma[7]}]; noncommPresent = !NonCommFreeQ[ex/.DiracGamma->diga]; - FCPrint[3, "DiracTrick: diracTrickEval: g^5 present:", gamma5Present, FCDoControl->diTrVerbose]; - FCPrint[3, "DiracTrick: diracTrickEval: unknown non-commutative objects present:", noncommPresent, FCDoControl->diTrVerbose]; + FCPrint[3, "DiracTrick: diracTrickEval: g^5 present: ", gamma5Present, FCDoControl->diTrVerbose]; + FCPrint[3, "DiracTrick: diracTrickEval: unknown non-commutative objects present: ", noncommPresent, FCDoControl->diTrVerbose]; res = res/. DOT -> holdDOT; If[ gamma5Present, res = res /. holdDOT -> commonGamma5Properties /. commonGamma5Properties -> holdDOT; gamma5Present = !FreeQ2[res,{DiracGamma[5],DiracGamma[6],DiracGamma[7]}]; - FCPrint[3, "DiracTrick: diracTrickEval: after applying simplifications related to g^5:", res, FCDoControl->diTrVerbose]; + FCPrint[3, "DiracTrick: diracTrickEval: after applying simplifications related to g^5: ", res, FCDoControl->diTrVerbose]; ]; If[ FreeQ2[res,DiracHeadsList], @@ -572,7 +572,7 @@ create replacement rules (standard) and substitute the results back. noncommPresent = !NonCommFreeQ[res/.DiracGamma->diga]; - FCPrint[3, "DiracTrick: diracTrickEval: Dimensions:", dim, FCDoControl->diTrVerbose]; + FCPrint[3, "DiracTrick: diracTrickEval: Dimensions: ", dim, FCDoControl->diTrVerbose]; If[ gamma5Present, diff --git a/FeynCalc/Dirac/SpinorChainTrick.m b/FeynCalc/Dirac/SpinorChainTrick.m index ea51831d4..b9b682557 100755 --- a/FeynCalc/Dirac/SpinorChainTrick.m +++ b/FeynCalc/Dirac/SpinorChainTrick.m @@ -203,7 +203,7 @@ ]; FCPrint[1, "SpinorChainTrick: Leaving.", FCDoControl->spchtrVerbose]; - FCPrint[1, "SpinorChainTrick: Total time:", N[AbsoluteTime[] - timeAll, 4], FCDoControl->spchtrVerbose]; + FCPrint[1, "SpinorChainTrick: Total time: ", N[AbsoluteTime[] - timeAll, 4], FCDoControl->spchtrVerbose]; FCPrint[3, "SpinorChainTrick: Leaving with ", res, FCDoControl->spchtrVerbose]; diff --git a/FeynCalc/ExportImport/FeynCalc2FORM.m b/FeynCalc/ExportImport/FeynCalc2FORM.m index b826231c3..9d5fbf6b2 100755 --- a/FeynCalc/ExportImport/FeynCalc2FORM.m +++ b/FeynCalc/ExportImport/FeynCalc2FORM.m @@ -97,7 +97,7 @@ ]; FCPrint[1, "FeynCalc2FORM: Entering.", FCDoControl->fc2fVerbose]; - FCPrint[3, "FeynCalc2FORM: Entering with:", xy, FCDoControl->fc2fVerbose]; + FCPrint[3, "FeynCalc2FORM: Entering with: ", xy, FCDoControl->fc2fVerbose]; If[ Head[xy] === Equal, x = xy[[1]]; @@ -167,16 +167,16 @@ Map[Variables, Cases[holdy/.DOT->Times, h_ /;(!MemberQ[{LorentzIndex,Momentum,DiracGamma,Eps, DiracTrace,Pair, Symbol}, Head[y]]),Infinity]]] ]; - FCPrint[2, "FeynCalc2FORM: preliminary noatomic:", noatomic, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: preliminary noatomic: ", noatomic, FCDoControl->fc2fVerbose]; noatomic = Select[noatomic, (!MemberQ[{LorentzIndex,Momentum,DiracGamma,Eps, DiracTrace,Symbol,Pair, Polarization, String}, Head[#]])&]; - FCPrint[2, "FeynCalc2FORM: final noatomic:", noatomic, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: final noatomic: ", noatomic, FCDoControl->fc2fVerbose]; (* replace the non-Symbol arguments of LorentzIndex and Momentum by Symbols *) nosyml = Select[Join[momentumlist, lors], Head[#] =!= Symbol &]; lm2form = Table[ nosyml[[i]] -> ToExpression[ StringJoin[ OptionValue[FORMAbbreviations][[2]], ToString[i] ] ], {i, Length[nosyml]}]; - FCPrint[2, "FeynCalc2FORM: Replacement table for the non-Symbol arguments of LorentzIndex and Momentum:", lm2form, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: Replacement table for the non-Symbol arguments of LorentzIndex and Momentum: ", lm2form, FCDoControl->fc2fVerbose]; (* get all other atomic variables *) (* see p. 725 *) @@ -184,11 +184,11 @@ other = Union[other,SelectFree[Union[Cases[FCI[((SP @@ #) & /@ $ScalarProducts)]/.lm2form, _Symbol, -1]], Join[lors, momentumlist,(lm2form /. Rule[_, b_] :> b)]]]; - FCPrint[2, "FeynCalc2FORM: other:", other, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: other: ", other, FCDoControl->fc2fVerbose]; (* for the reverse substitutions *) form2l = Map[Reverse, lm2form]; - FCPrint[2, "FeynCalc2FORM: form2l :", form2l, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: form2l : ", form2l, FCDoControl->fc2fVerbose]; index4list = lors4 /. lm2form; indexnlist = lorsn /. lm2form; @@ -219,15 +219,15 @@ (* construct the list of substitutions for all noatomics *) n2form = Table[ noatomic[[i]] -> ToExpression[ StringJoin[ OptionValue[FORMAbbreviations][[1]], ToString[i] ] ], {i, Length[noatomic]}]; - FCPrint[2, "FeynCalc2FORM: n2form :", n2form, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: n2form : ", n2form, FCDoControl->fc2fVerbose]; form2fc = Join[form2l, Map[Reverse, n2form]]; - FCPrint[2, "FeynCalc2FORM: form2fc :", form2fc, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: form2fc : ", form2fc, FCDoControl->fc2fVerbose]; newsymlist = noatomic /. n2form; - FCPrint[2, "FeynCalc2FORM: preliminary newsymlist:", newsymlist, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: preliminary newsymlist: ", newsymlist, FCDoControl->fc2fVerbose]; newsymlist = Join[other, newsymlist]; @@ -236,7 +236,7 @@ AppendTo[newsymlist, I] ];*) - FCPrint[2, "FeynCalc2FORM: final newsymlist:", newsymlist, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: final newsymlist: ", newsymlist, FCDoControl->fc2fVerbose]; @@ -297,7 +297,7 @@ - FCPrint[2, "FeynCalc2FORM: Preliminary list of id statements:", idlist, FCDoControl->fc2fVerbose]; + FCPrint[2, "FeynCalc2FORM: Preliminary list of id statements: ", idlist, FCDoControl->fc2fVerbose]; idlist = idlist /. lm2form /. n2form; @@ -308,7 +308,7 @@ nidlist = Table[{polvecs[[j]], polvecs[[j,1]],0},{j,Length[polvecs]}]; nidlist = nidlist /. lm2form; idlist = Join[idlist, nidlist]; - FCPrint[3, "FeynCalc2FORM: List of id statements after adding polarization vectors:", idlist, FCDoControl->fc2fVerbose] + FCPrint[3, "FeynCalc2FORM: List of id statements after adding polarization vectors: ", idlist, FCDoControl->fc2fVerbose] ]; diff --git a/FeynCalc/Feynman/FCFADiracChainJoin.m b/FeynCalc/Feynman/FCFADiracChainJoin.m index 6faa68233..9359fd708 100644 --- a/FeynCalc/Feynman/FCFADiracChainJoin.m +++ b/FeynCalc/Feynman/FCFADiracChainJoin.m @@ -119,7 +119,7 @@ time=AbsoluteTime[]; diracObjectsEval = Map[(diracChainEvalM[#])&, (diracObjects/.dsHead->Identity)]; - FCPrint[3, "FCFADiracChainJoin: After diracChainEvalM:", diracObjectsEval, FCDoControl->dchjVerbose]; + FCPrint[3, "FCFADiracChainJoin: After diracChainEvalM: ", diracObjectsEval, FCDoControl->dchjVerbose]; diracObjectsEval = diracObjectsEval /. diracChainEvalM -> diracChainEvalS /. diracChainEvalS -> diracChainEvalSign; diff --git a/FeynCalc/LoopIntegrals/Tdec.m b/FeynCalc/LoopIntegrals/Tdec.m index deccd279f..2dcb40373 100644 --- a/FeynCalc/LoopIntegrals/Tdec.m +++ b/FeynCalc/LoopIntegrals/Tdec.m @@ -440,7 +440,7 @@ index lists (via Tuples) is much simpler, as compared to the metric FCPrint[3, "Tdec: symmetrized tensor basis ",basis, FCDoControl->tdecVerbose]; (* list of tensor coefficients for which we need to solve our linear equations *) ccli = Cases[basis,CC[__],Infinity]; - FCPrint[3, "Tdec: ccli:", ccli, FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: ccli: ", ccli, FCDoControl->tdecVerbose]; (* out of the tensor coefficients we create tensor structures that will be contracted with the original tensor equations to get a system of linear (scalar) equations *) @@ -475,7 +475,6 @@ with the original tensor equations to get a system of linear (scalar) equations {ii, Length[proli]}]; FCPrint[1, "Tdec: Done building a system of scalar equations, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->tdecVerbose]; - Print["here"]; FCPrint[1, "Tdec: Number of tensor equations to solve: ", Length[eqli], FCDoControl->tdecVerbose]; FCPrint[3, "eqli = ", TableForm[eqli], FCDoControl->tdecVerbose]; FCPrint[1, "solving ", Length[ccli], FCDoControl->tdecVerbose]; @@ -518,7 +517,7 @@ with the original tensor equations to get a system of linear (scalar) equations FCPrint[1, "Tdec: Solve3 bytecount", ByteCount[solu], FCDoControl->tdecVerbose] ]; - FCPrint[3, "Tdec: solu:", Normal[solu], FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: solu: ", Normal[solu], FCDoControl->tdecVerbose]; nttt = Collect[tt[[2]], Map[First, scqli]]; If[ fce, nttt = FeynCalcExternal[nttt] @@ -527,7 +526,7 @@ with the original tensor equations to get a system of linear (scalar) equations solu = solu /. Map[Reverse, seqli]; ]; solu = solu /. Dispatch[Map[Reverse, scqli]]; - FCPrint[3, "Tdec: solu:", Normal[solu], FCDoControl->tdecVerbose]; + FCPrint[3, "Tdec: solu: ", Normal[solu], FCDoControl->tdecVerbose]; tt = nttt /. Dispatch[solu]; ]; diff --git a/FeynCalc/Lorentz/FCSchoutenBruteForce.m b/FeynCalc/Lorentz/FCSchoutenBruteForce.m index 149eafcda..1d8441815 100644 --- a/FeynCalc/Lorentz/FCSchoutenBruteForce.m +++ b/FeynCalc/Lorentz/FCSchoutenBruteForce.m @@ -105,9 +105,9 @@ lengthResSchouten = Length[resSchouten]; If[ lengthResSchouten<=lengthOriginal, - FCPrint[1, "FCSchoutenBruteForce. Extra gain from Schouten:", lengthOriginal-lengthResSchouten, FCDoControl->fcsbVerbose]; + FCPrint[1, "FCSchoutenBruteForce. Extra gain from Schouten: ", lengthOriginal-lengthResSchouten, FCDoControl->fcsbVerbose]; ex = resSchouten, - FCPrint[1, "FCSchoutenBruteForce: Applying Schouten did not make the expression shorter:", lengthOriginal-lengthResSchouten, FCDoControl->fcsbVerbose] + FCPrint[1, "FCSchoutenBruteForce: Applying Schouten did not make the expression shorter: ", lengthOriginal-lengthResSchouten, FCDoControl->fcsbVerbose] ] ]; @@ -125,8 +125,8 @@ FCPrint[1, "FCSchoutenBruteForce: There are ", Length[epsInds], " possible Eps arguments." FCDoControl->fcsbVerbose]; FCPrint[1, "FCSchoutenBruteForce: There are ", Length[moms], " possible scalar product arguments." FCDoControl->fcsbVerbose]; - FCPrint[3, "FCSchoutenBruteForce: moms:", moms, FCDoControl->fcsbVerbose]; - FCPrint[3, "FCSchoutenBruteForce: vars:", vars, FCDoControl->fcsbVerbose]; + FCPrint[3, "FCSchoutenBruteForce: moms: ", moms, FCDoControl->fcsbVerbose]; + FCPrint[3, "FCSchoutenBruteForce: vars: ", vars, FCDoControl->fcsbVerbose]; sublists = Subsets[moms, {2}]; sublists = Join[sublists,Map[{#,#}&,moms]]; @@ -163,7 +163,7 @@ combos = Union[combos] /. {0,_} -> Unevaluated[Sequence[]] /. {a_,a_} -> Unevaluated[Sequence[]] /. {a_,_}/;FreeQ[ex,a] :> Unevaluated[Sequence[]]; - FCPrint[1, "FCSchoutenBruteForce: Done Preparing the list of possible replacements, timing:", N[AbsoluteTime[] - time, 4], FCDoControl->fcsbVerbose]; + FCPrint[1, "FCSchoutenBruteForce: Done Preparing the list of possible replacements, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcsbVerbose]; FCPrint[3, "FCSchoutenBruteForce: List of possible replacements: ", combos, FCDoControl->fcsbVerbose]; @@ -182,7 +182,7 @@ list = Sort[list, (#1[[1]] > #2[[1]]) &]; - FCPrint[1, "FCSchoutenBruteForce: Done checking replacements, timing:", N[AbsoluteTime[] - time, 4], FCDoControl->fcsbVerbose]; + FCPrint[1, "FCSchoutenBruteForce: Done checking replacements, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcsbVerbose]; FCPrint[3, "FCSchoutenBruteForce: List of possible replacements: ", list, FCDoControl->fcsbVerbose]; repRule = {{},{}}; diff --git a/FeynCalc/Lorentz/Uncontract.m b/FeynCalc/Lorentz/Uncontract.m index 21d90f9e4..4b172e46e 100755 --- a/FeynCalc/Lorentz/Uncontract.m +++ b/FeynCalc/Lorentz/Uncontract.m @@ -78,7 +78,7 @@ exp = FCI[ex] ]; moms = Cases[(exp + null1+null2)/. _FeynAmpDenominator :> Unique[], (Momentum | CartesianMomentum)[z_, ___] :> z, Infinity] // DeleteDuplicates // Sort; - FCPrint[1, "Uncontract: List of momenta:", moms , FCDoControl->ucVerbose]; + FCPrint[1, "Uncontract: List of momenta: ", moms , FCDoControl->ucVerbose]; If[ moms=!={}, res = Uncontract[exp, Sequence@@moms, FCI->True ,opts], diff --git a/FeynCalc/NonCommAlgebra/DotSimplify.m b/FeynCalc/NonCommAlgebra/DotSimplify.m index 2c42cae20..8f82d495a 100755 --- a/FeynCalc/NonCommAlgebra/DotSimplify.m +++ b/FeynCalc/NonCommAlgebra/DotSimplify.m @@ -289,7 +289,7 @@ numerators of fermionic propagators like (GS[p]+m) that appear in \ (Distribute[dlin[a]] //. dlin[h___, n_Integer c_, b___] :> (n dlin[h, c, b])); ]; FCPrint[1, "DotSimplify: Done working out commutators and anti-commutators, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; - FCPrint[3, "DotSimplify: After working out commutators and anti-commutators:", x, FCDoControl->dsVerbose]; + FCPrint[3, "DotSimplify: After working out commutators and anti-commutators: ", x, FCDoControl->dsVerbose]; If[ OptionValue[FCJoinDOTs] && !OptionValue[Expanding], time=AbsoluteTime[]; @@ -343,7 +343,7 @@ numerators of fermionic propagators like (GS[p]+m) that appear in \ (y /. DOT -> dlin0 /. dlin0 -> dlin //. dlin[a__] :> dlin1[{}, a] //. dlin1[{a___}] :> DOT[a] /. DOT -> DOTcomm) /. dlin -> DOT; x = FixedPoint[simpf, x, maxIterations]; - FCPrint[4, "DotSimplify: After simpf:", x, FCDoControl->dsVerbose]; + FCPrint[4, "DotSimplify: After simpf: ", x, FCDoControl->dsVerbose]; If[ !FreeQ[x, DiracChain], time=AbsoluteTime[]; @@ -356,7 +356,7 @@ numerators of fermionic propagators like (GS[p]+m) that appear in \ x = x/. sunTrace -> SUNTrace /. holdDOT -> DOT; FCPrint[1, "DotSimplify: Non-commutative expansions done, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->dsVerbose]; - FCPrint[3, "DotSimplify: After doing non-commutative expansion:", x, FCDoControl->dsVerbose]; + FCPrint[3, "DotSimplify: After doing non-commutative expansion: ", x, FCDoControl->dsVerbose]; x ]; diff --git a/FeynCalc/NonCommAlgebra/FCMatrixIsolate.m b/FeynCalc/NonCommAlgebra/FCMatrixIsolate.m index ce0af4e7a..7a3089028 100755 --- a/FeynCalc/NonCommAlgebra/FCMatrixIsolate.m +++ b/FeynCalc/NonCommAlgebra/FCMatrixIsolate.m @@ -113,7 +113,7 @@ optsSUN = FilterRules[optFCColorIsolate[[2]], Except[Head]] ]; - FCPrint[1,"FCMatrixIsolate: Ordering of isolations:", optOrdering, FCDoControl->fcmiVerbose]; + FCPrint[1,"FCMatrixIsolate: Ordering of isolations: ", optOrdering, FCDoControl->fcmiVerbose]; optOrdering = optOrdering /. {FCDiracIsolate -> isolateDirac, FCPauliIsolate -> isolatePauli, FCColorIsolate -> isolateSUN}; ex = relevantPart[ex]; @@ -122,7 +122,7 @@ FCPrint[1, "FCMatrixIsolate: Applying isolating functions.", FCDoControl->fcmiVerbose]; ex = Fold[#2[#1] &, ex, optOrdering]; FCPrint[1, "FCMatrixIsolate: Done applying isolating functions, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->fcmiVerbose]; - FCPrint[3, "FCMatrixIsolate: After applying isolating functions:", ex, FCDoControl->fcmiVerbose]; + FCPrint[3, "FCMatrixIsolate: After applying isolating functions: ", ex, FCDoControl->fcmiVerbose]; res = ex /. relevantPart-> OptionValue[Head]; diff --git a/FeynCalc/Pauli/PauliTrace.m b/FeynCalc/Pauli/PauliTrace.m index 36f670a72..8d8e501e8 100755 --- a/FeynCalc/Pauli/PauliTrace.m +++ b/FeynCalc/Pauli/PauliTrace.m @@ -290,7 +290,7 @@ Abort[] ]; - FCPrint[1,"PauliTrace: pauliTraceEvaluate: Done sorting matrices canonically, timing:", N[AbsoluteTime[] - time2, 4], FCDoControl->paTrVerbose]; + FCPrint[1,"PauliTrace: pauliTraceEvaluate: Done sorting matrices canonically, timing: ", N[AbsoluteTime[] - time2, 4], FCDoControl->paTrVerbose]; FCPrint[3,"PauliTrace: pauliTraceEvaluate: After sorting matrices canonically: ", tmp, FCDoControl->paTrVerbose] ]; diff --git a/FeynCalc/Shared/Collect.m b/FeynCalc/Shared/Collect.m index 0147651f2..0d312148b 100755 --- a/FeynCalc/Shared/Collect.m +++ b/FeynCalc/Shared/Collect.m @@ -178,7 +178,7 @@ nx = nx/factorOut; - FCPrint[2,"Collect2: After factoring out ", factorOut, " :", nx, FCDoControl->cl2Verbose]; + FCPrint[2,"Collect2: After factoring out ", factorOut, " : ", nx, FCDoControl->cl2Verbose]; @@ -285,8 +285,8 @@ time=AbsoluteTime[]; FCPrint[1,"Collect2: Computing CoefficientArrays.", FCDoControl->cl2Verbose]; coeffArray = CoefficientArrays[nx,tv]; - FCPrint[1,"Collect2: CoefficientArrays ready, timing:", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; - FCPrint[3,"Collect2: CoefficientArrays:", coeffArray, FCDoControl->cl2Verbose]; + FCPrint[1,"Collect2: CoefficientArrays ready, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; + FCPrint[3,"Collect2: CoefficientArrays: ", coeffArray, FCDoControl->cl2Verbose]; time=AbsoluteTime[]; FCPrint[1,"Collect2: Collecting the monomials.", FCDoControl->cl2Verbose]; @@ -302,7 +302,7 @@ new = Sum[dotHold[coeffHead[coeffArray[[i]]] , Sequence @@ Table[tvm, {i - 1}]], {i, 2, Length[coeffArray]}]; - FCPrint[1,"Collect2: Done collecting the monomials, timing:", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; + FCPrint[1,"Collect2: Done collecting the monomials, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; FCPrint[3,"Collect2: prelminiary new: ", new, FCDoControl->cl2Verbose]; time=AbsoluteTime[]; FCPrint[1,"Collect2: Obtaining the final result.", FCDoControl->cl2Verbose]; @@ -319,7 +319,7 @@ new = new/.dotHold-> Dot; - FCPrint[1,"Collect2: The final result is ready, timing:", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; + FCPrint[1,"Collect2: The final result is ready, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; FCPrint[3,"Collect2: new: ", new, FCDoControl->cl2Verbose]; If[ !FreeQ2[lin,monomList], @@ -335,20 +335,20 @@ lin = Isolate[ FRH[lin/.holdForm->Identity, IsolateNames->{tempIso,optIsolateNames}], IsolateNames->optIsolateNames, IsolateFast->optIsolateFast], lin = FRH[lin/.holdForm->Identity, IsolateNames->{tempIso,optIsolateNames}] ]; - FCPrint[1,"Collect2: Done releasing tempIso, timing:", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; + FCPrint[1,"Collect2: Done releasing tempIso, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; If[ secondHead=!=Null, time=AbsoluteTime[]; FCPrint[1,"Collect2: Applying secondHead.", FCDoControl->cl2Verbose]; lin = secondHead[lin,1] /. secondHead[0,_] -> 0; new = secondHead/@(new + null1 + null2) /. secondHead[null1|null2]->0 /. secondHead[a_firstHead b_]:> secondHead[b,a]; - FCPrint[1,"Collect2: Done applying secondHead, timing:", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; + FCPrint[1,"Collect2: Done applying secondHead, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; ]; time=AbsoluteTime[]; FCPrint[1,"Collect2: Putting re togehter.", FCDoControl->cl2Verbose]; re = ((new + lin) /. lk[ka_][j_] -> holdForm[ka[j]] /. frx->Plus); - FCPrint[1,"Collect2: Done putting re togehter, timing:", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; + FCPrint[1,"Collect2: Done putting re togehter, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; (*Just a small consistency check *) If[ optIsolateNames =!= False, @@ -359,7 +359,7 @@ ]; - FCPrint[1,"Collect2: Done releasing tempIso, timing:", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; + FCPrint[1,"Collect2: Done releasing tempIso, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->cl2Verbose]; If[ccflag, re = re /. compCON -> ComplexConjugate diff --git a/FeynCalc/Shared/Solve.m b/FeynCalc/Shared/Solve.m index 2f071a394..6de716a2d 100755 --- a/FeynCalc/Shared/Solve.m +++ b/FeynCalc/Shared/Solve.m @@ -153,7 +153,7 @@ (*new = Solve[neq1, cli[[i]]];*) FCPrint[1,"Solve3: Solve2 done.", FCDoControl->sol3Verbose]; - FCPrint[3,"Solve3: new:", new, FCDoControl->sol3Verbose]; + FCPrint[3,"Solve3: new: ", new, FCDoControl->sol3Verbose]; (* From 6738905fa897e0ac402ba4013218fbcff5f15652 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 27 Mar 2020 15:07:03 +0100 Subject: [PATCH 38/86] Improved FCLoopIntegralToPropagator and FCLoopBasisExtract to handle symbolic propagator powers. --- FeynCalc/LoopIntegrals/FCApart.m | 4 +- FeynCalc/LoopIntegrals/FCLoopBasis.m | 53 +++++++-- Tests/LoopIntegrals/ApartFF.test | 3 +- Tests/LoopIntegrals/FCLoopBasis.test | 161 ++++++++++++++++++--------- 4 files changed, 157 insertions(+), 64 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCApart.m b/FeynCalc/LoopIntegrals/FCApart.m index e29551e6c..3b812f7f2 100755 --- a/FeynCalc/LoopIntegrals/FCApart.m +++ b/FeynCalc/LoopIntegrals/FCApart.m @@ -173,9 +173,11 @@ - vectorSet= FCLoopBasisExtract[scalarTerm, lmoms, SetDimensions->OptionValue[SetDimensions]]; + FCPrint[3,"FCApart: vectorSet: ",vectorSet, FCDoControl->fcaVerbose]; + + (* All the partial fractioning is done by pfrac *) time=AbsoluteTime[]; FCPrint[1,"FCApart: Doing the actual partial fractioning via pfrac", FCDoControl->fcaVerbose]; diff --git a/FeynCalc/LoopIntegrals/FCLoopBasis.m b/FeynCalc/LoopIntegrals/FCLoopBasis.m index 210dcda90..c40beb76d 100755 --- a/FeynCalc/LoopIntegrals/FCLoopBasis.m +++ b/FeynCalc/LoopIntegrals/FCLoopBasis.m @@ -130,6 +130,7 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), FCE -> False, FCVerbose -> False, FCTopology -> False, + Rest -> None, SetDimensions -> {3, 4, D, D-1} }; @@ -219,14 +220,21 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), }; (* FADs *) + +(* auxIntegralToPropagators[Power[exp_FeynAmpDenominator, n_Integer?Positive], lmoms_List]:= ConstantArray[SelectNotFree[FeynAmpDenominatorSplit[exp, FCI->True, MomentumExpand->False, List->True],lmoms], n]/; Length[List@@exp]>1; - +*) auxIntegralToPropagators[Power[exp_FeynAmpDenominator, n_Integer?Positive], _]:= ConstantArray[{exp}, n]/; Length[List@@exp]===1; - +(* auxIntegralToPropagators[exp_FeynAmpDenominator, lmoms_List]:= SelectNotFree[FeynAmpDenominatorSplit[exp, FCI->True, MomentumExpand->False, List->True],lmoms]/; Length[List@@exp]>1 && Head[exp]=!=Power; +*) + + +auxIntegralToPropagators[a_FeynAmpDenominator b_FeynAmpDenominator c_., lmoms_]:= + {auxIntegralToPropagators[a, lmoms],auxIntegralToPropagators[b c, lmoms]}; auxIntegralToPropagators[exp_FeynAmpDenominator, _]:= {exp}/; Length[List@@exp]===1; @@ -258,7 +266,7 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), FCLoopBasisIntegralToPropagators[expr_, lmoms_List, OptionsPattern[]]:= - Block[{exp, tmp, res, dummy, expAsList, rest}, + Block[{exp, tmp, res, dummy, expAsList, rest, listHead}, If [OptionValue[FCVerbose]===False, itpVerbose=$VeryVerbose, @@ -279,6 +287,10 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), FCPrint[1,"FCLoopBasisIntegralToPropagators: Entering.", FCDoControl->itpVerbose]; FCPrint[3,"FCLoopBasisIntegralToPropagators: Entering with ", exp, FCDoControl->itpVerbose]; + exp = FeynAmpDenominatorSplit[exp,FCI->True,MomentumExpand->False]; + + FCPrint[3,"FCLoopBasisIntegralToPropagators: After FeynAmpDenominatorSplit: ", exp, FCDoControl->itpVerbose]; + If[ !MemberQ[{Power, Times,FeynAmpDenominator,Pair,CartesianPair,TemporalPair,List},Head[exp]] || FreeQ2[exp,lmoms], Message[FCLoopBasisIntegralToPropagators::failmsg,"The input expression does not seem to be a valid loop integral."]; Abort[] @@ -332,13 +344,15 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), Abort[] ]; + (* tmp = tmp /. { (h : StandardPropagatorDenominator|CartesianPropagatorDenominator|GenericPropagatorDenominator)[a__, {n_Integer, s_}]/; Abs[n]=!=1 :> Sequence@@ConstantArray[h[a, {Sign[n],s}], Abs[n]] - }; + };*) tmp = auxIntegralToPropagators[#,lmoms]&/@tmp; + FCPrint[3,"FCLoopBasisIntegralToPropagators: After auxIntegralToPropagators: ", tmp, FCDoControl->itpVerbose]; (* This tricky construction is needed to handle integrals with scalar products like @@ -358,19 +372,38 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), If[ OptionValue[Tally], res = Tally[Flatten[tmp]]; + + + FCPrint[3,"FCLoopBasisIntegralToPropagators: After Tally: ", res, FCDoControl->itpVerbose]; + res = res /. { + {FeynAmpDenominator[h_[a__, {n_, s_}]], k_}/; MatchQ[n,_Integer?Positive|_Symbol] :> + {FeynAmpDenominator[h[a,{1,s}]], n k} + }; + + res = listHead@@res /. { + listHead[r1___,{a_,n1_},r2___,{a_,n2_},r3___] :> listHead[r1,{a,n1+n2},r2,r3] + }; + res = List@@res; + + FCPrint[3,"FCLoopBasisIntegralToPropagators: After handling symbolic powers: ", res, FCDoControl->itpVerbose]; + (* TODO Need the possibility to have a custom sort function *) (*TODO For the future one might add a better sorting *) If[OptionValue[Sort], - res = Sort[res,(#1[[1]]>#2[[1]])&] + res = Sort[res,(LeafCount[#1[[1]]]itpVerbose]; + + (* This extra check should catch things like SFAD[{{0, p1.q}, {0, 1}, -1}] SFAD[{{0, p1.q}, {0, 1}, 2}]. *) If[ Length[First[Transpose[res]]]=!=Length[Union[First[Transpose[res]]/. Dispatch[rulePropagatorPowersToOne]]], Message[FCLoopBasisIntegralToPropagators::failmsg,"The loop integral contains uncancelled scalar products."]; Abort[] ], - res = DeleteDuplicates[Flatten[tmp]/.Dispatch[rulePropagatorPowers]]; + (*No tally*) + res = DeleteDuplicates[Flatten[tmp]/.Dispatch[rulePropagatorPowers]/. Sign[_Symbol] -> 1]; If[OptionValue[Sort], res = Sort[res] @@ -583,14 +616,14 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), FCPrint[3,"FCLoopBasisExtract: Entering with: ", expr, FCDoControl->fclbeVerbose]; FCPrint[3,"FCLoopBasisExtract: Loop momenta: ", loopmoms, FCDoControl->fclbeVerbose]; - If[ !FCLoopNonIntegerPropagatorPowersFreeQ[expr], + (*If[ !FCLoopNonIntegerPropagatorPowersFreeQ[expr], Message[FCLoopBasisExtract::failmsg, "Integrals with noninteger propagator powers are not supported."]; Abort[] - ]; + ];*) useToSFAD = !FreeQ[expr, StandardPropagatorDenominator]; - integralBasis = FCLoopBasisIntegralToPropagators[expr, loopmoms, FCI->True, Rest->None, Negative->True, Tally->True, + integralBasis = FCLoopBasisIntegralToPropagators[expr, loopmoms, FCI->True, Rest->OptionValue[Rest], Negative->True, Tally->True, Pair->True,CartesianPair->True, ToSFAD->useToSFAD, MomentumCombine -> True, ExpandScalarProduct->True, Sort->False ]; @@ -831,7 +864,7 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), FCPrint[3,"FCLoopBasisOverdeterminedQ: Entering with: ", ex, FCDoControl->fclbVerbose]; FCPrint[3,"FCLoopBasisOverdeterminedQ: Loop momenta: ", lmoms, FCDoControl->fclbVerbose]; - vecs= FCLoopBasisExtract[ex, lmoms, SetDimensions->OptionValue[SetDimensions]]; + vecs= FCLoopBasisExtract[ex, lmoms, SetDimensions->OptionValue[SetDimensions], Rest->False]; FCPrint[3,"FCLoopBasisOverdeterminedQ: Output of extractBasisVectors: ", vecs, FCDoControl->fclbVerbose]; diff --git a/Tests/LoopIntegrals/ApartFF.test b/Tests/LoopIntegrals/ApartFF.test index 1c4a5afbc..79f24c343 100644 --- a/Tests/LoopIntegrals/ApartFF.test +++ b/Tests/LoopIntegrals/ApartFF.test @@ -75,8 +75,7 @@ tmp = ApartFF[FAD[q, {-(p/2) + q, m}, {p/2 + q, m}, {p/2 + q, m}], {q}]//FCE; \n ","1/2 FAD[q, q, q, {-(p/2) + q, m}] + 1/2 FAD[q, q, {-(p/2) + q, m}, {-(p/2) + q, m}]"}, {"fcstApartFF-ID23","FCClearScalarProducts[]; \n SPD[p, p] = 4 m^2; \n tmp = ApartFF[FAD[{k1 - p/2 + q, m}, {k1 - p/2 + q, m}, {p/2 + q, m}, q, {-(p/2) + q, m}], {q}]//FCE; \n FCClearScalarProducts[]; \n tmp -","-FAD[q, {-(p/2) + q, m}, {-(p/2) + q, m}, {-k1 + p/2 + q, m}, {-k1 + p/2 + q, m}] + 2 FAD[{q, m}, {-k1 + q, m}, {-k1 + q, m}, -{-p + q, m}, {-p + q, m}]"}, +","FAD[q, q, {-p/2 + q, m}, {k1 - p/2 + q, m}, {k1 - p/2 + q, m}]/2 + FAD[q, q, {-p/2 + q, m}, {-k1 + p/2 + q, m}, {-k1 + p/2 + q, m}]/2"}, {"fcstApartFF-ID24","ApartFF[SPD[k1, p] SPD[p, p] FAD[{p, m0}], {p}, MaxIterations -> 1, FDS -> False] // FCE", "FAD[{p, m0}] SPD[k1, p] SPD[p, p]"}, {"fcstApartFF-ID25","ApartFF[SPD[k1, p] SPD[p, p] FAD[{p, m0}], {p}, MaxIterations -> 2, FDS -> False] // FCE", diff --git a/Tests/LoopIntegrals/FCLoopBasis.test b/Tests/LoopIntegrals/FCLoopBasis.test index bc60447fb..9e7236f67 100644 --- a/Tests/LoopIntegrals/FCLoopBasis.test +++ b/Tests/LoopIntegrals/FCLoopBasis.test @@ -608,12 +608,10 @@ CFAD[{{-k + P, 0}, {0, -1}, 1}]}}"}, {"fcstFCLoopBasisExtract-ID17","FCLoopBasisExtract[ CFAD[{{k, 0}, {-TC[k]^2, -1}, 1}, {{-k + P, 0}, {0, -1}, 1}] GFAD[{{EN - V0 - TC[k], 1}, 1}] TC[k], {k}, FCE -> True]", -"{{EN - V0 - TC[k], CSPD[k, k] - TC[k]^2, -CSPD[k, k] - 2 CSPD[k, P] + CSPD[P, P], TC[k]}, {CSPD[k, k], -CSPD[k, P], TC[k], TC[k]^2}, {1, 1, -1, -1}, {GFAD[{{EN - V0 - TC[k], 1}, 1}], -CFAD[{{k, 0}, {-TC[k]^2, -1}, 1}], CFAD[{{-k + P, 0}, {0, -1}, 1}], -GFAD[{{TC[k], 1}, -1}]}}"}, +"{{CSPD[k, k] - TC[k]^2, CSPD[k, k] - 2*CSPD[k, P] + CSPD[P, P], EN - V0 - TC[k], +TC[k]}, {CSPD[k, k], CSPD[k, P], TC[k], TC[k]^2}, {1, 1, 1, -1}, {CFAD[{{k, 0}, +{-TC[k]^2, -1}, 1}], CFAD[{{-k + P, 0}, {0, -1}, 1}], GFAD[{{EN - V0 - +TC[k], 1}, 1}], GFAD[{{TC[k], 1}, -1}]}}"}, {"fcstFCLoopBasisExtract-ID17", "FCLoopBasisExtract[{FAD[q1-p1],SPD[q1,p]},{q1},SetDimensions\ \[Rule]{D},FCE\[Rule]True]", @@ -629,12 +627,12 @@ SPD[q1, q1]}, {SPD[p, q1], SPD[p1, q1], SPD[q1, q1]}, {-1, 1, 1}, \ {"fcstFCLoopBasisExtract-ID19", "FCLoopBasisExtract[{FAD[q1],FAD[q1-k1,q2,q1+q2], SPD[2 k1-q1,q1+2 \ q2]},{q1,q2},FCE\[Rule]True]", -"{{2*SPD[k1, q1] + 4*SPD[k1, q2] - SPD[q1, q1] - 2*SPD[q1, q2], \ -SPD[q1, q1], SPD[k1, k1] - 2*SPD[k1, q1] + SPD[q1, q1], SPD[q2, q2], \ -SPD[q1, q1] + 2*SPD[q1, q2] + SPD[q2, q2]}, {SPD[k1, q1], SPD[k1, \ -q2], SPD[q1, q1], SPD[q1, q2], SPD[q2, q2]}, {-1, 1, 1, 1, 1}, \ -{2*SPD[k1, q1] + 4*SPD[k1, q2] - SPD[q1, q1] - 2*SPD[q1, q2], \ -FAD[q1], FAD[-k1 + q1], FAD[q2], FAD[q1 + q2]}}"}, +"{{2*SPD[k1, q1] + 4*SPD[k1, q2] - SPD[q1, q1] - 2*SPD[q1, q2], +SPD[q1, q1], SPD[q2, q2], SPD[k1, k1] - 2*SPD[k1, q1] + SPD[q1, q1], +SPD[q1, q1] + 2*SPD[q1, q2] + SPD[q2, q2]}, {SPD[k1, q1], +SPD[k1, q2], SPD[q1, q1], SPD[q1, q2], SPD[q2, q2]}, {-1, 1, 1, 1, +1}, {2*SPD[k1, q1] + 4*SPD[k1, q2] - SPD[q1, q1] - 2*SPD[q1, q2], +FAD[q1], FAD[q2], FAD[-k1 + q1], FAD[q1 + q2]}}"}, {"fcstFCLoopBasisExtract-ID20", "FCLoopBasisExtract[{FAD[q1-p1],SPD[q1,p]},{q1},SetDimensions\ \[Rule]{D},FCE\[Rule]True]", @@ -650,12 +648,35 @@ SPD[q1, q1]}, {SPD[p, q1], SPD[p1, q1], SPD[q1, q1]}, {-1, 1, 1}, \ {"fcstFCLoopBasisExtract-ID22", "FCLoopBasisExtract[{FAD[q1],FAD[q1-k1,q2,q1+q2], SPD[2 k1-q1,q1+2 \ q2]},{q1,q2},FCE\[Rule]True]", -"{{2*SPD[k1, q1] + 4*SPD[k1, q2] - SPD[q1, q1] - 2*SPD[q1, q2], \ -SPD[q1, q1], SPD[k1, k1] - 2*SPD[k1, q1] + SPD[q1, q1], SPD[q2, q2], \ -SPD[q1, q1] + 2*SPD[q1, q2] + SPD[q2, q2]}, {SPD[k1, q1], SPD[k1, \ -q2], SPD[q1, q1], SPD[q1, q2], SPD[q2, q2]}, {-1, 1, 1, 1, 1}, \ -{2*SPD[k1, q1] + 4*SPD[k1, q2] - SPD[q1, q1] - 2*SPD[q1, q2], \ -FAD[q1], FAD[-k1 + q1], FAD[q2], FAD[q1 + q2]}}"} +"{{2*SPD[k1, q1] + 4*SPD[k1, q2] - SPD[q1, q1] - 2*SPD[q1, q2], +SPD[q1, q1], SPD[q2, q2], SPD[k1, k1] - 2*SPD[k1, q1] + SPD[q1, q1], +SPD[q1, q1] + 2*SPD[q1, q2] + SPD[q2, q2]}, {SPD[k1, q1], +SPD[k1, q2], SPD[q1, q1], SPD[q1, q2], SPD[q2, q2]}, {-1, 1, 1, 1, +1}, {2*SPD[k1, q1] + 4*SPD[k1, q2] - SPD[q1, q1] - 2*SPD[q1, q2], +FAD[q1], FAD[q2], FAD[-k1 + q1], FAD[q1 + q2]}}"}, +{"fcstFCLoopBasisExtract-ID23", +"FCLoopBasisIntegralToPropagators[SFAD[{p1,m^2,n}],{p1},Tally\ +\[Rule]True,FCE\[Rule]True]", "{{SFAD[{{p1, 0}, {m^2, 1}, 1}], n}}"}, +{"fcstFCLoopBasisExtract-ID24", +"FCLoopBasisIntegralToPropagators[SFAD[{p3+q1,m3^2,3},{p3-p1,0,n},{\ +{0,p1.q}}]SFAD[{p3-p1,0,n}]^3,{p3,p1},Tally\[Rule]True,FCE\[Rule]True]\ +", "{{SFAD[{{0, p1 . q}, {0, 1}, 1}], 1}, {SFAD[{{-p1 + p3, 0}, {0, \ +1}, 1}], 4*n}, {SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}], 3}}"}, +{"fcstFCLoopBasisExtract-ID25", +"FCLoopBasisIntegralToPropagators[+SFAD[{p3+q1,m3^2,3},{p3-p1,0,n},\ +{{0,p1.q}},{p3-p1,0,2}],{p3,p1},Tally\[Rule]True,FCE\[Rule]True]", +"{{SFAD[{{0, p1 . q}, {0, 1}, 1}], 1}, {SFAD[{{-p1 + p3, 0}, {0, \ +1}, 1}], 2 + n}, {SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}], 3}}"}, +{"fcstFCLoopBasisExtract-ID26", +"FCLoopBasisIntegralToPropagators[+SFAD[{p3+q1,m3^2,3},{p3-p1,0,n},\ +{{0,p1.q}},{p3-p1,0,2}],{p3,p1},FCE\[Rule]True]", +"{SFAD[{{0, p1 . q}, {0, 1}, 1}], SFAD[{{-p1 + p3, 0}, {0, 1}, \ +1}], SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}]}"}, +{"fcstFCLoopBasisExtract-ID27", +"FCLoopBasisIntegralToPropagators[+SFAD[{p3+q1,m3^2,3},{p3-p1,0,n},\ +{{0,p1.q}}],{p3,p1},FCE\[Rule]True]", +"{SFAD[{{0, p1 . q}, {0, 1}, 1}], SFAD[{{-p1 + p3, 0}, {0, 1}, \ +1}], SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}]}"} }; Tests`LoopIntegrals`fcstFCLoopBasisGetSize = @@ -744,36 +765,39 @@ k, -1 + D] + CartesianMomentum[l, -1 + D], 0, 0, {1, -1}]]}"}, {"fcstFCLoopBasisIntegralToPropagators-ID13", "FCLoopBasisIntegralToPropagators[FCI[SPD[q,p] SFAD[q,q-p,q-p] \ SFAD[q-p]],{q},Tally\[Rule]True]", -"{{FeynAmpDenominator[StandardPropagatorDenominator[-Momentum[p, \ -D] + Momentum[q, D], 0, 0, {1, 1}]], 3}, \ -{FeynAmpDenominator[StandardPropagatorDenominator[Momentum[q, D], 0, \ -0, {1, 1}]], 1}, {FeynAmpDenominator[StandardPropagatorDenominator[0, \ -Pair[Momentum[p, D], Momentum[q, D]], 0, {-1, 1}]], 1}}"}, +"{{FeynAmpDenominator[ +StandardPropagatorDenominator[Momentum[q, D], 0, 0, {1, 1}]], +1}, {FeynAmpDenominator[ +StandardPropagatorDenominator[0, + Pair[Momentum[p, D], Momentum[q, D]], 0, {-1, 1}]], +1}, {FeynAmpDenominator[ +StandardPropagatorDenominator[-Momentum[p, D] + Momentum[q, D], 0, + 0, {1, 1}]], 3}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID14", "FCLoopBasisIntegralToPropagators[FCI[SPD[q,p] SFAD[q,q-p,q-p] \ SFAD[q-p]],{q},Tally\[Rule]True,FCE->True]", -"{{SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}, {SFAD[{{q, 0}, {0, 1}, 1}], \ -1}, {SFAD[{{0, p . q}, {0, 1}, -1}], 1}}"}, +"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{0, p . q}, +{0, 1}, -1}], 1}, {SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID15", "FCLoopBasisIntegralToPropagators[FCI[SPD[q,p] FAD[q,q-p,q-p] \ FAD[q-p]],{q},Tally\[Rule]True,FCE\[Rule]True]", -"{{SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}, {SFAD[{{q, 0}, {0, 1}, 1}], \ -1}, {SFAD[{{0, p . q}, {0, 1}, -1}], 1}}"}, +"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{0, p.q}, {0, 1}, -1}], +1}, {SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID16", "FCLoopBasisIntegralToPropagators[FCI[SPD[q,p] FAD[q,q-p,q-p] \ FAD[q-p]],{q},Tally\[Rule]True,FCE\[Rule]True]", -"{{SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}, {SFAD[{{q, 0}, {0, 1}, 1}], \ -1}, {SFAD[{{0, p . q}, {0, 1}, -1}], 1}}"}, +"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{0, p.q}, {0, 1}, -1}], +1}, {SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID17", "FCLoopBasisIntegralToPropagators[FCI[SPD[q,p] FAD[q,q-p,q-p] \ SFAD[q-p]],{q},Tally\[Rule]True,FCE\[Rule]True]", -"{{SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}, {SFAD[{{q, 0}, {0, 1}, 1}], \ -1}, {SFAD[{{0, p . q}, {0, 1}, -1}], 1}}"}, +"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{0, p.q}, {0, 1}, -1}], +1}, {SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID18", "FCLoopBasisIntegralToPropagators[FCI[SPD[q,p]FAD[q,q-p,q-p] \ SFAD[q-p]],{q},Tally\[Rule]True,FCE\[Rule]True]", -"{{SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}, {SFAD[{{q, 0}, {0, 1}, 1}], \ -1}, {SFAD[{{0, p . q}, {0, 1}, -1}], 1}}"}, +"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{0, p.q}, {0, 1}, -1}], +1}, {SFAD[{{-p + q, 0}, {0, 1}, 1}], 3}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID19", "FCLoopBasisIntegralToPropagators[FAD[p]SFAD[p],{p},FCE\[Rule]True]", "{SFAD[{{p, 0}, {0, 1}, 1}]}"}, @@ -790,13 +814,13 @@ SFAD[{{q, 0}, {0, 1}, 1}]}"}, {"fcstFCLoopBasisIntegralToPropagators-ID22", "FCLoopBasisIntegralToPropagators[SPD[p,q]^2 \ FCI[SPD[p,q]]SFAD[q,p-q],{q},Tally\[Rule]True,FCE->True]", -"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{p - q, 0}, {0, 1}, 1}], \ -1}, {SFAD[{{0, p . q}, {0, 1}, -1}], 3}}"}, +"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{0, p.q}, {0, 1}, -1}], +3}, {SFAD[{{p - q, 0}, {0, 1}, 1}], 1}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID23", "FCLoopBasisIntegralToPropagators[SPD[p,q]^2 \ FCI[SPD[p,q]]SFAD[q,p-q]^6,{q},Tally\[Rule]True,FCE->True]", -"{{SFAD[{{q, 0}, {0, 1}, 1}], 6}, {SFAD[{{p - q, 0}, {0, 1}, 1}], \ -6}, {SFAD[{{0, p . q}, {0, 1}, -1}], 3}}"}, +"{{SFAD[{{q, 0}, {0, 1}, 1}], 6}, {SFAD[{{0, p.q}, {0, 1}, -1}], +3}, {SFAD[{{p - q, 0}, {0, 1}, 1}], 6}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID24", "FCLoopBasisIntegralToPropagators[x FCI[SFAD[p1]], {p1}, Rest -> True, FCE -> True]", @@ -808,19 +832,18 @@ FCE -> True]", {"fcstFCLoopBasisIntegralToPropagators-ID26", "FCLoopBasisIntegralToPropagators[SPD[p, q]^2 FCI[SPD[p, q]] SFAD[q, p - q], {q}, Tally -> True, FCE -> True, Negative -> True]", -"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{p - q, 0}, {0, 1}, 1}], -1}, {SFAD[{{0, p.q}, {0, 1}, -1}], -3}}"}, +"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{0, p . q}, {0, 1}, -1}], -3}, {SFAD[{{p - q, 0}, {0, 1}, 1}], 1}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID27", "FCLoopBasisIntegralToPropagators[SPD[p, q]^2 FCI[SPD[p, q]] SFAD[q, p - q], {q}, Tally -> True, FCE -> True, Negative -> True, Pair -> True]", -"{{SFAD[{{q, 0}, {0, 1}, 1}], 1}, {SFAD[{{p - q, 0}, {0, 1}, 1}], -1}, {SPD[p, q], -3}}"}, +"{{SFAD[{{q, 0}, {0, 1}, 1}], +1}, {SPD[p, q], -3}, {SFAD[{{p - q, 0}, {0, 1}, 1}], 1}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID28", "FCLoopBasisIntegralToPropagators[ CSPD[p, q]^2 FCI[CSPD[p, q]] CFAD[q, p - q], {q}, Tally -> True, FCE -> True, Negative -> True, CartesianPair -> True]", -"{{CSPD[p, q], -3}, {CFAD[{{q, 0}, {0, -1}, 1}], -1}, {CFAD[{{p - q, 0}, {0, -1}, 1}], 1}}"}, +"{{CFAD[{{q, 0}, {0, -1}, 1}], +1}, {CSPD[p, q], -3}, {CFAD[{{p - q, 0}, {0, -1}, 1}], 1}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID29", "FCLoopBasisIntegralToPropagators[CFAD[{k, 0, 4}, l - k], {k}, Tally -> True, FCE -> True]", @@ -844,7 +867,7 @@ FeynAmpDenominator[StandardPropagatorDenominator[Momentum[l, D], 0, 0, {1, 1}]], "{GFAD[{{x + p1.q p2.q, 1}, 1}], SFAD[{{p1, 0}, {0, 1}, 1}]}"}, {"fcstFCLoopBasisIntegralToPropagators-ID33", "FCLoopBasisIntegralToPropagators[GFAD[{p1.q p2.q + x, 2}] SFAD[p1], {p1, p2}, Tally -> True,FCE -> True]", -"{{GFAD[{{x + p1.q p2.q, 1}, 1}], 2}, {SFAD[{{p1, 0}, {0, 1}, 1}], 1}}"}, +"{{SFAD[{{p1, 0}, {0, 1}, 1}], 1}, {GFAD[{{x + p1 . q*p2 . q, 1}, 1}], 2}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID34", "FCLoopBasisIntegralToPropagators[FeynAmpDenominator[ StandardPropagatorDenominator[-Momentum[p2, D] + Momentum[Q, D], 0, @@ -910,12 +933,15 @@ D], Momentum[q, D]], -x, {1, 1}]]}"}, {"fcstFCLoopBasisIntegralToPropagators-ID44", "FCLoopBasisIntegralToPropagators[TC[q]GFAD[(TC[q]-x)]SFAD[{{0,p.q}\ ,x}],{q},Tally\[Rule]True]", -"{{FeynAmpDenominator[GenericPropagatorDenominator[-x + \ -TemporalPair[ExplicitLorentzIndex[0], TemporalMomentum[q]], {1, 1}]], 1}, \ -{FeynAmpDenominator[StandardPropagatorDenominator[0, Pair[Momentum[p, \ -D], Momentum[q, D]], -x, {1, 1}]], 1}, \ -{FeynAmpDenominator[GenericPropagatorDenominator[TemporalPair[\ -ExplicitLorentzIndex[0], TemporalMomentum[q]], {-1, 1}]], 1}}"}, +"{{FeynAmpDenominator[ +GenericPropagatorDenominator[ + TemporalPair[ExplicitLorentzIndex[0], TemporalMomentum[q]], {-1, + 1}]], 1}, {FeynAmpDenominator[ +GenericPropagatorDenominator[-x + + TemporalPair[ExplicitLorentzIndex[0], TemporalMomentum[q]], {1, + 1}]], 1}, {FeynAmpDenominator[ +StandardPropagatorDenominator[0, + Pair[Momentum[p, D], Momentum[q, D]], -x, {1, 1}]], 1}}"}, {"fcstFCLoopBasisIntegralToPropagators-ID45", "FCLoopBasisIntegralToPropagators[{SPD[p1]},{p1},FCE->True]", "{SFAD[{{0, p1 . p1}, {0, 1}, -1}]}"}, @@ -961,7 +987,40 @@ SPD[p1-p3]},{p1,p3},FCE->True]", ,SPD[p1-p3]},{p1,p3},Sort\[Rule]False,FCE->True]", "{CFAD[{{0, p3 . p3}, {0, -1}, -1}], GFAD[{{m1^2 + CSPD[p1, p1], \ 1}, -1}], SFAD[{{0, p1 . q}, {0, 1}, -1}], SFAD[{{0, (p1 - p3) . (p1 \ -- p3)}, {0, 1}, -1}]}"} +- p3)}, {0, 1}, -1}]}"}, +{"fcstFCLoopBasisIntegralToPropagators-ID55", +"FCLoopBasisExtract[SFAD[{p1,m^2,n},{k+p3}],{p1},FCE\[Rule]True,\ +Rest\[Rule]False]", +"{{-m^2 + SPD[p1, p1]}, {SPD[p1, p1]}, {n}, {SFAD[{{p1, 0}, {m^2, \ +1}, 1}]}}"}, +{"fcstFCLoopBasisIntegralToPropagators-ID56", +"FCLoopBasisExtract[SFAD[{p1,m^2,n}],{p1},FCE\[Rule]True]", +"{{-m^2 + SPD[p1, p1]}, {SPD[p1, p1]}, {n}, {SFAD[{{p1, 0}, {m^2, \ +1}, 1}]}}"}, +{"fcstFCLoopBasisIntegralToPropagators-ID57", +"FCLoopBasisExtract[SFAD[{p3+q1,m3^2,3},{p3-p1,0,n},{{0,p1.q}}]\ +SFAD[{p3-p1,0,n}]^3,{p3,p1},FCE\[Rule]True]", +"{{SPD[p1, q], SPD[p1, p1] - 2*SPD[p1, p3] + SPD[p3, p3], -m3^2 + \ +SPD[p3, p3] + 2*SPD[p3, q1] + SPD[q1, q1]}, {SPD[p1, p1], SPD[p1, \ +p3], SPD[p1, q], SPD[p1, q1], SPD[p3, p3], SPD[p3, q], SPD[p3, q1]}, \ +{1, 4*n, 3}, {SFAD[{{0, p1 . q}, {0, 1}, 1}], SFAD[{{-p1 + p3, 0}, \ +{0, 1}, 1}], SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}]}}"}, +{"fcstFCLoopBasisIntegralToPropagators-ID58", +"FCLoopBasisExtract[+SFAD[{p3+q1,m3^2,3},{p3-p1,0,n},{{0,p1.q}},{\ +p3-p1,0,2}],{p3,p1},FCE\[Rule]True]", +"{{SPD[p1, q], SPD[p1, p1] - 2*SPD[p1, p3] + SPD[p3, p3], -m3^2 + \ +SPD[p3, p3] + 2*SPD[p3, q1] + SPD[q1, q1]}, {SPD[p1, p1], SPD[p1, \ +p3], SPD[p1, q], SPD[p1, q1], SPD[p3, p3], SPD[p3, q], SPD[p3, q1]}, \ +{1, 2 + n, 3}, {SFAD[{{0, p1 . q}, {0, 1}, 1}], SFAD[{{-p1 + p3, 0}, \ +{0, 1}, 1}], SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}]}}"}, +{"fcstFCLoopBasisIntegralToPropagators-ID59", +"FCLoopBasisExtract[+SFAD[{p3+q1,m3^2,3},{p3-p1,0,n},{{0,p1.q}}],{\ +p3,p1},FCE\[Rule]True]", +"{{SPD[p1, q], SPD[p1, p1] - 2*SPD[p1, p3] + SPD[p3, p3], -m3^2 + \ +SPD[p3, p3] + 2*SPD[p3, q1] + SPD[q1, q1]}, {SPD[p1, p1], SPD[p1, \ +p3], SPD[p1, q], SPD[p1, q1], SPD[p3, p3], SPD[p3, q], SPD[p3, q1]}, \ +{1, n, 3}, {SFAD[{{0, p1 . q}, {0, 1}, 1}], SFAD[{{-p1 + p3, 0}, {0, \ +1}, 1}], SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}]}}"} }); Tests`LoopIntegrals`fcstFCLoopBasisCreateScalarProducts = From 1c72f055084d3056b40e4f4fab8a2e1c348a11a3 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 28 Mar 2020 23:55:10 +0100 Subject: [PATCH 39/86] Made the behavior of FCProductSplit more consistent. --- FeynCalc/Shared/SharedTools.m | 9 ++++++--- Tests/Shared/SharedTools.test | 6 +++++- 2 files changed, 11 insertions(+), 4 deletions(-) diff --git a/FeynCalc/Shared/SharedTools.m b/FeynCalc/Shared/SharedTools.m index 0ddbdb793..272eff82b 100644 --- a/FeynCalc/Shared/SharedTools.m +++ b/FeynCalc/Shared/SharedTools.m @@ -534,14 +534,17 @@ an integer (even if it is symbolic). Furthermore \ Null ]; +FCProductSplit[expr_, {}, OptionsPattern[]]:= + {expr,1}; + FCProductSplit[expr_, vars_List /; vars =!= {}, OptionsPattern[]] := - Block[{dummy,exprAsList,pow,free,notfree}, + Block[{dummy1,dummy2,exprAsList,pow,free,notfree}, If[ NTerms[expr,Expand->False] > 1, Message[FCProductSplit::failmsg,"The input expression is not a product"]; Abort[] ]; - exprAsList = List@@(expr*dummy); + exprAsList = List@@(expr*dummy1*dummy2); If[ !FreeQ[exprAsList,Power], exprAsList /. Power -> pow //. { {a___,pow[b_,n_Integer?Positive],c___} :> {a,Sequence@@ConstantArray[b,n],c}, @@ -549,7 +552,7 @@ an integer (even if it is symbolic). Furthermore \ } /. pow -> Power ]; - free = SelectFree[exprAsList,vars] /. dummy :> Unevaluated[Sequence[]]; + free = SelectFree[exprAsList,vars] /. dummy1|dummy2 :> Unevaluated[Sequence[]]; notfree = SelectNotFree[exprAsList,vars]; free = Times@@free; diff --git a/Tests/Shared/SharedTools.test b/Tests/Shared/SharedTools.test index 1f25d5536..0b28db767 100644 --- a/Tests/Shared/SharedTools.test +++ b/Tests/Shared/SharedTools.test @@ -156,7 +156,11 @@ Tests`Shared`fcstSharedToolsFCProductSplit = {"fcstSharedToolsFCProductSplit-ID7", "FCProductSplit[(a^2+b)*b*(c+d),{a,c}]", "{b, (a^2 + b)*(c + d)}"}, {"fcstSharedToolsFCProductSplit-ID8", -"FCProductSplit[1/(-1+2 eps),{Foo}]", "{1/(2 eps-1),1}"} +"FCProductSplit[1/(-1+2 eps),{Foo}]", "{1/(2 eps-1),1}"}, +{"fcstSharedToolsFCProductSplit-ID9", "FCProductSplit[1, {x, y, z}]", +"{1, 1}"}, +{"fcstSharedToolsFCProductSplit-ID10", "FCProductSplit[a b c, {}]", +"{a b c, 1}"} }); Tests`Shared`fcstSharedToolsFCSplit = { From fd00a9f671aac7a5855cb4d2427cea0f657b902b Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 12 Apr 2020 17:00:08 +0200 Subject: [PATCH 40/86] Improved ComplexConjugate to properly handle input with patterns. --- FeynCalc/Feynman/ComplexConjugate.m | 25 +++++++++++++++++++------ Tests/Feynman/ComplexConjugate.test | 5 ++++- 2 files changed, 23 insertions(+), 7 deletions(-) diff --git a/FeynCalc/Feynman/ComplexConjugate.m b/FeynCalc/Feynman/ComplexConjugate.m index c387f9f5c..ace4d2307 100755 --- a/FeynCalc/Feynman/ComplexConjugate.m +++ b/FeynCalc/Feynman/ComplexConjugate.m @@ -37,7 +37,7 @@ ccjVerbose::usage=""; holdDOT::usage=""; holdDOTReversed::usage=""; - +hold::usage=""; (* for large expressions it is better to not use DotSimplify *) Options[ComplexConjugate] = { @@ -54,12 +54,23 @@ ComplexConjugate[expr_List, opts:OptionsPattern[]]:= ComplexConjugate[#,opts]&/@expr; -ComplexConjugate[expr_/;Head[expr]=!=List, OptionsPattern[]]:= + +ComplexConjugate[a_ == b_, opts:OptionsPattern[]] := + ComplexConjugate[a,opts] == ComplexConjugate[b,opts]; + +ComplexConjugate[(h:Rule|RuleDelayed)[a_,b_], opts:OptionsPattern[]] := + hold[ComplexConjugate[a,opts],ComplexConjugate[b,opts]] /. hold -> h; + + +Collect2[x_List, y__] := + Collect2[#, y]& /@ x; + +ComplexConjugate[expr_/;!MemberQ[{List,Equal,Rule,RuleDelayed},Head[expr]], OptionsPattern[]]:= Block[{ ex,res,optConjugate, ruleConjugate, ru, time, prefList, diracList, sunList, pauliList, prefHead, pauliHead, sunHead, diracHead, prefListEval, diracListEval, sunListEval, pauliListEval, - repRule, ccRules}, + repRule, ccRules, pattern, blank}, optConjugate = OptionValue[Conjugate]; @@ -174,16 +185,18 @@ Thread[Rule[pauliList,pauliListEval]], Thread[Rule[sunList,sunListEval]], Thread[Rule[prefList,prefListEval]] - ]; + ] /. {Pattern->pattern, Blank->blank}; + + res = ex /. {Pattern->pattern, Blank->blank} /. Dispatch[repRule] /. {pattern->Pattern, blank->Blank}; - res = ex /. Dispatch[repRule]; + FCPrint[3,"ComplexConjugate: After the main replacement rule: ", res, FCDoControl->ccjVerbose]; If[ OptionValue[FCRenameDummyIndices], time = AbsoluteTime[]; FCPrint[1,"ComplexConjugate: Renaming dummy indices in the final result.", FCDoControl->ccjVerbose]; res = FCRenameDummyIndices[res, FCI->True]; FCPrint[1,"ComplexConjugate: Done renaming dummy indices in the final result, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->ccjVerbose]; - FCPrint[3,"ComplexConjugate: After FCRenameDummyIndices: ", ex, FCDoControl->ccjVerbose] + FCPrint[3,"ComplexConjugate: After FCRenameDummyIndices: ", res, FCDoControl->ccjVerbose] ]; If[ optConjugate=!={} && Head[optConjugate]===List, diff --git a/Tests/Feynman/ComplexConjugate.test b/Tests/Feynman/ComplexConjugate.test index 43b367a5a..5d6c4b7fc 100644 --- a/Tests/Feynman/ComplexConjugate.test +++ b/Tests/Feynman/ComplexConjugate.test @@ -133,5 +133,8 @@ SUNFIndex[Col2]], 1].DiracGamma[7].Spinor[Momentum[p3], MassFQ[Index[I3Gen, 3], SUNFIndex[Col3]],1])]]", "Spinor[Momentum[p3], MassFQ[Index[I3Gen, 3], SUNFIndex[Col3]], 1].DiracGamma[6].Spinor[-Momentum[p2], -MassFu[Index[I3Gen, 2], SUNFIndex[Col2]], 1]"} +MassFu[Index[I3Gen, 2], SUNFIndex[Col2]], 1]"}, +{"fcstComplexConjugate-ID35", +"ComplexConjugate[fun[I, a_, b_]]", + "fun[-I, a_, b_]"} }; From 256fd91a7bfe629942040cff39b5689e2f3b2119 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 12 Apr 2020 17:00:48 +0200 Subject: [PATCH 41/86] Added missing PauliTrace option to PauliSimplify. --- FeynCalc/Pauli/PauliSimplify.m | 6 ++---- 1 file changed, 2 insertions(+), 4 deletions(-) diff --git a/FeynCalc/Pauli/PauliSimplify.m b/FeynCalc/Pauli/PauliSimplify.m index f070f8fa3..cdf9af45f 100755 --- a/FeynCalc/Pauli/PauliSimplify.m +++ b/FeynCalc/Pauli/PauliSimplify.m @@ -45,8 +45,6 @@ optPauliReduce::usage=""; Options[PauliSimplify] = { - (*InsidePauliTrace -> False,*) - (*PauliTrace -> True,*) Contract -> True, EpsContract -> True, Expand2 -> True, @@ -126,11 +124,11 @@ ex = FCPauliIsolate[ex,FCI->True,Head->psHead, DotSimplify->True, PauliSigmaCombine->OptionValue[PauliSigmaCombine], LorentzIndex->True, CartesianIndex->True]; - (* + If[ !FreeQ[ex,PauliTrace] && !OptionValue[PauliTrace], ex = ex /. psHead[zz_]/; !FreeQ[zz,PauliTrace] :> zz ]; - *) + {freePart,psPart} = FCSplit[ex,{psHead}]; FCPrint[3,"PauliSimplify: psPart: ",psPart , FCDoControl->psVerbose]; From 2a5f6a14e7e2da0558f188d2823a26f66a716fa9 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 12 Apr 2020 17:01:04 +0200 Subject: [PATCH 42/86] Improved PauliSimplify to handle lists and equations. --- FeynCalc/Pauli/PauliSimplify.m | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/FeynCalc/Pauli/PauliSimplify.m b/FeynCalc/Pauli/PauliSimplify.m index cdf9af45f..96bf50c5d 100755 --- a/FeynCalc/Pauli/PauliSimplify.m +++ b/FeynCalc/Pauli/PauliSimplify.m @@ -60,9 +60,16 @@ PauliOrder -> False, PauliReduce -> False, PauliSigmaCombine -> False, + PauliTrace -> True, PauliTraceEvaluate -> True }; +PauliSimplify[a_ == b_, opts:OptionsPattern[]] := + PauliSimplify[a,opts] == PauliSimplify[b,opts]; + +PauliSimplify[expr_List, opts:OptionsPattern[]] := + PauliSimplify[#, opts]&/@expr; + PauliSimplify[expr_, OptionsPattern[]] := Block[{ex,res,time, null1, null2, holdDOT, freePart=0, psPart, pauliObjects, pauliObjectsEval, repRule, tmp, tmpHead}, From 71ad386496e3df63e888a8d49441edb72324e19e Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 12 Apr 2020 17:02:01 +0200 Subject: [PATCH 43/86] Fixed a bug in FCApart where custom tensors in the input would make the function fail. --- FeynCalc/LoopIntegrals/FCApart.m | 17 +++++++++++------ Tests/LoopIntegrals/FCApart.test | 18 +++++++++++++++++- 2 files changed, 28 insertions(+), 7 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCApart.m b/FeynCalc/LoopIntegrals/FCApart.m index 3b812f7f2..615522a7a 100755 --- a/FeynCalc/LoopIntegrals/FCApart.m +++ b/FeynCalc/LoopIntegrals/FCApart.m @@ -63,7 +63,8 @@ FCApart[expr_, lmoms_List, OptionsPattern[]] := Block[{ex,vectorSet,res,check, scalarTerm, vectorTerm=1, pref=1, tmp, - scaleless1=0,scaleless2=0,time, optFactoring, optTimeConstrained}, + scaleless1=0,scaleless2=0,time, optFactoring, optTimeConstrained, + rd, dt, extraTensors}, If [OptionValue[FCVerbose]===False, fcaVerbose=$VeryVerbose, @@ -108,7 +109,7 @@ FCPrint[3,"FCApart: After the initial cancelling of scalar products ", ex, FCDoControl->fcaVerbose] ]; - (* To bring the propagators into a proper form. + (* This brings the propagators into a proper form. However, this might also mess up the signs of the propagators in the already fixed topology, so if FDS is set to False, this simplification should not be done as well! *) @@ -127,13 +128,17 @@ Return[ex]; ]; + extraTensors = Cases[SelectNotFree2[DownValues[DataType], FCTensor] /. RuleDelayed -> rd /. DataType -> dt /. + HoldPattern -> Identity, rd[dt[a_, FCTensor], True] :> a, Infinity]; + extraTensors = SelectFree[extraTensors,{Eps,Pair,CartesianPair}]; + + FCPrint[2,"FCApart: Extra tensors to consider for determining the vector part: ", extraTensors, FCDoControl->fcaVerbose]; + (* Partial fractioning should work also for loop integrals that contain loop momenta with uncontracted indices, or loop momenta contracted with Epsilon tensors and Dirac gammas *) - If[ !FreeQ2[ex,{LorentzIndex,CartesianIndex,Eps,DiracGamma}], - scalarTerm = SelectFree[ex, LorentzIndex,CartesianIndex,Eps,DiracGamma]; - vectorTerm = SelectNotFree[ex, LorentzIndex,CartesianIndex,Eps,DiracGamma]; - + If[ !FreeQ2[ex,Join[{LorentzIndex,CartesianIndex,Eps,DiracGamma},extraTensors]], + {scalarTerm,vectorTerm} = FCProductSplit[ex,Join[{LorentzIndex,CartesianIndex,Eps,DiracGamma},extraTensors]]; If[ scalarTerm*vectorTerm =!= ex || !FreeQ2[scalarTerm,{LorentzIndex,CartesianIndex}], Message[FCApart::error, ex]; Abort[] diff --git a/Tests/LoopIntegrals/FCApart.test b/Tests/LoopIntegrals/FCApart.test index 6037f0d3f..bca967abb 100644 --- a/Tests/LoopIntegrals/FCApart.test +++ b/Tests/LoopIntegrals/FCApart.test @@ -443,5 +443,21 @@ P] GFAD[{{EN - V0 + Sqrt[CSPD[k, k]], 1}, 1}] + 1/4 CFAD[{{k - P, 0}, {0, -1}, 1}] CSPD[P, P] GFAD[{{EN - V0 + Sqrt[CSPD[k, k]], 1}, 1}] + 1/4 CFAD[{{k, 0}, {0, -1}, 1}, {{k - P, 0}, {0, -1}, 1}] CSPD[P, -P]^2 GFAD[{{EN - V0 + Sqrt[CSPD[k, k]], 1}, 1}]"} +P]^2 GFAD[{{EN - V0 + Sqrt[CSPD[k, k]], 1}, 1}]"}, +{"fcstFCApart-ID55", +"DeclareFCTensor[myR1]; \n DeclareNonCommutative[myR1]; \n +tmp = FCApart[myR1[CartesianMomentum[P]] CFAD[P - k, {P, c^2}], {P},FCE->True]; \n +UnDeclareFCTensor[myR1]; \n UnDeclareNonCommutative[myR1]; tmp", +"CFAD[{{-k + P, 0}, {0, -1}, 1}, {{P, 0}, {c^2, -1}, 1}] myR1[ +CartesianMomentum[P]]"}, +{"fcstFCApart-ID56", +"DeclareFCTensor[myR1]; \n DeclareNonCommutative[myR1]; \n +tmp = FCApart[myR1[CartesianMomentum[P]] CSPD[P, k] CFAD[ + P - k, {P, c^2}], {P}, FCE->True]; \n +UnDeclareFCTensor[myR1]; \n UnDeclareNonCommutative[myR1]; tmp", +"-(1/2) CFAD[{{P, 0}, {0, -1}, 1}, {{k + P, 0}, {c^2, -1}, 1}] (c^2 - + CSPD[k, k]) myR1[CartesianMomentum[k]] - +1/2 CFAD[{{P, 0}, {c^2, -1}, 1}] myR1[CartesianMomentum[P]] - +1/2 CFAD[{{P, 0}, {0, -1}, 1}, {{k + P, 0}, {c^2, -1}, 1}] (c^2 - + CSPD[k, k]) myR1[CartesianMomentum[P]]"} }) From 1b61bb276ba9f93cc597b22f26d0f4a2c563cd23 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 12 Apr 2020 17:02:39 +0200 Subject: [PATCH 44/86] Improved FCLoopBasis to handle propagator powers that are polynomials in symbolic variables. --- FeynCalc/LoopIntegrals/FCLoopBasis.m | 2 +- Tests/LoopIntegrals/FCLoopBasis.test | 10 +++++++++- 2 files changed, 10 insertions(+), 2 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCLoopBasis.m b/FeynCalc/LoopIntegrals/FCLoopBasis.m index c40beb76d..2b91dc86e 100755 --- a/FeynCalc/LoopIntegrals/FCLoopBasis.m +++ b/FeynCalc/LoopIntegrals/FCLoopBasis.m @@ -376,7 +376,7 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), FCPrint[3,"FCLoopBasisIntegralToPropagators: After Tally: ", res, FCDoControl->itpVerbose]; res = res /. { - {FeynAmpDenominator[h_[a__, {n_, s_}]], k_}/; MatchQ[n,_Integer?Positive|_Symbol] :> + {FeynAmpDenominator[h_[a__, {n_, s_}]], k_}/; MatchQ[n,_Integer?Positive|_Symbol] || Variables[n]=!={} :> {FeynAmpDenominator[h[a,{1,s}]], n k} }; diff --git a/Tests/LoopIntegrals/FCLoopBasis.test b/Tests/LoopIntegrals/FCLoopBasis.test index 9e7236f67..7f48acc03 100644 --- a/Tests/LoopIntegrals/FCLoopBasis.test +++ b/Tests/LoopIntegrals/FCLoopBasis.test @@ -676,7 +676,15 @@ FAD[q1], FAD[q2], FAD[-k1 + q1], FAD[q1 + q2]}}"}, "FCLoopBasisIntegralToPropagators[+SFAD[{p3+q1,m3^2,3},{p3-p1,0,n},\ {{0,p1.q}}],{p3,p1},FCE\[Rule]True]", "{SFAD[{{0, p1 . q}, {0, 1}, 1}], SFAD[{{-p1 + p3, 0}, {0, 1}, \ -1}], SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}]}"} +1}], SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}]}"}, +{"fcstFCLoopBasisExtract-ID28", +"FCLoopBasisExtract[ +GFAD[{{CSPD[k, k] x[1] + (CSPD[k, k - 2 p] + CSPD[p, p]) x[2], 1}, +1 + s}] CFAD[{k, -c^2}], {k}, FCE -> True]", +"{{CSPD[k, k]*x[1] + CSPD[k, k]*x[2] - 2*CSPD[k, p]*x[2] + CSPD[p, p]*x[2], +-c^2 + CSPD[k, k]}, {CSPD[k, k], CSPD[k, p]}, {1 + s, 1}, +{GFAD[{{CSPD[k, k]*x[1] + (CSPD[k, k - 2*p] + +CSPD[p, p])*x[2], 1}, 1}], CFAD[{{k, 0}, {-c^2, -1}, 1}]}}"} }; Tests`LoopIntegrals`fcstFCLoopBasisGetSize = From 8e5ad4a167f465780f97a7d0014e362842f88b3f Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 12 Apr 2020 17:03:49 +0200 Subject: [PATCH 45/86] Fixed a bug in FCMultiLoopTID where some Cartesian tensors may not be reducible in the BMHV scheme. --- FeynCalc/LoopIntegrals/FCMultiLoopTID.m | 6 +++--- Tests/LoopIntegrals/FCMultiLoopTID.test | 9 ++++++++- 2 files changed, 11 insertions(+), 4 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m index 9b9ced564..f3b261623 100644 --- a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m +++ b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m @@ -170,7 +170,7 @@ FCPrint[1, "FCMultiLoopTID: Done uncontracting Lorentz indices, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->mltidVerbose]; FCPrint[3, "FCMultiLoopTID: After Uncontract: ", ex, FCDoControl->mltidVerbose]; - If[ (FeynCalc`Package`DiracGammaScheme === "BMHV") && !FreeQ[ex,LorentzIndex], + If[ (FeynCalc`Package`DiracGammaScheme === "BMHV") && !FreeQ2[ex,{LorentzIndex,CartesianIndex}], time=AbsoluteTime[]; FCPrint[1, "FCMultiLoopTID: Handling 4 and D-4 dimensional loop momenta.", FCDoControl->mltidVerbose]; ex = ex /. { @@ -179,9 +179,9 @@ Pair[Momentum[q_],LorentzIndex[i_]]/; MemberQ[qs,q] :> (tmpli=Unique[]; Pair[Momentum[q,n],LorentzIndex[tmpli,n]] Pair[LorentzIndex[tmpli],LorentzIndex[i]]), - CartesianPair[CartesianMomentum[q,n-4],CartesianIndex[i_,n-4]]:> + CartesianPair[CartesianMomentum[q_,n-4],CartesianIndex[i_,n-4]]/; MemberQ[qs,q] :> (tmpli=Unique[]; CartesianPair[CartesianMomentum[q,n-1],CartesianIndex[tmpli,n-1]] CartesianPair[CartesianIndex[tmpli,n-4],CartesianIndex[i,n-4]]), - CartesianPair[CartesianMomentum[q],CartesianIndex[i_]]:> + CartesianPair[CartesianMomentum[q_],CartesianIndex[i_]]/; MemberQ[qs,q] :> (tmpli=Unique[]; CartesianPair[CartesianMomentum[q,n-1],CartesianIndex[tmpli,n-1]] CartesianPair[CartesianIndex[tmpli],CartesianIndex[i]]) }; If[ !FreeQ2[ex, {Pair[Momentum[q,n-4],LorentzIndex[_,n-4]],Pair[Momentum[q],LorentzIndex[_]], diff --git a/Tests/LoopIntegrals/FCMultiLoopTID.test b/Tests/LoopIntegrals/FCMultiLoopTID.test index 8454c1cdc..f33a62df4 100644 --- a/Tests/LoopIntegrals/FCMultiLoopTID.test +++ b/Tests/LoopIntegrals/FCMultiLoopTID.test @@ -364,5 +364,12 @@ DiracSimplify -> False, FCE -> True]","1/2 DiracTrace[GAD[mu].GSD[p].GAD[nu].GAD {"fcstFCMultiLoopTID-ID27", "FCMultiLoopTID[ DiracTrace[GAD[mu].(GSD[q] + m).GAD[nu, rho, 5]] FAD[q, q - p], {q}, DiracSimplify -> False, FCE -> True]","m DiracTrace[GAD[mu].GAD[nu].GAD[rho].GA[5]] FAD[q, -p + q] + -1/2 DiracTrace[GAD[mu].GSD[p].GAD[nu].GAD[rho].GA[5]] FAD[q, -p + q]"} +1/2 DiracTrace[GAD[mu].GSD[p].GAD[nu].GAD[rho].GA[5]] FAD[q, -p + q]"}, +{"fcstFCMultiLoopTID-ID28", +"FCSetDiracGammaScheme["BMHV"];\n +tmp = FCMultiLoopTID[CV[P, i] CFAD[P - k, {P, c^2}], {P}, FCE -> True]; +FCSetDiracGammaScheme["NDR"]; \n tmp", +"-(CFAD[{{P, 0}, {c^2, -1}, 1}]*CV[k, i])/(2*CSPD[k, k]) - +(CFAD[{{P, 0}, {0, -1}, 1}, {{k + P, 0}, {c^2, -1}, 1}]*(c^2 - +CSPD[k, k])*CV[k, i])/(2*CSPD[k, k])"} }) From 6a68e03b4cdf0f57a7b07cfe778884ed661a302a Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 12 Apr 2020 18:20:28 +0200 Subject: [PATCH 46/86] Fixed a bug with temporal indices in GluonVertex. --- FeynCalc/Feynman/GluonVertex.m | 6 ++-- Tests/Feynman/GluonVertex.test | 52 ++++++++++++++++++++++-------- Tests/QCD/Twist2GluonOperator.test | 32 +++++++----------- 3 files changed, 52 insertions(+), 38 deletions(-) diff --git a/FeynCalc/Feynman/GluonVertex.m b/FeynCalc/Feynman/GluonVertex.m index d0ccf573c..378e1f594 100755 --- a/FeynCalc/Feynman/GluonVertex.m +++ b/FeynCalc/Feynman/GluonVertex.m @@ -70,7 +70,7 @@ ope = OptionValue[OPE]; expl = OptionValue[Explicit]; {a,b,c} = Map[SUNIndex[#]&, {ai,bi,ci}]; - {mu,nu,la} = Map[LorentzIndex[#, dim]&, {mui,nui,lai}] // lorfix; + {mu,nu,la} = Map[LorentzIndex[#, dim]&, {mui,nui,lai} /. ExplicitLorentzIndex[0]->0] // lorfix; {p,q,k} = Map[Momentum[#, dim]&, {pi,qi,ki}]//momfix; gl3v = SUNF[a,b,c] Apply[GluonVertex, Join[{ {p,mu}, {q,nu}, {k,la} }, Select[{opt}, FreeQ[#, OPE]&]]]; @@ -84,7 +84,7 @@ Block[ {coup, dim, p, q, k, mu, nu, la}, dim = OptionValue[Dimension]; coup = OptionValue[CouplingConstant]; - {mu,nu,la} = Map[LorentzIndex[#, dim]&, {mui,nui,lai}] // lorfix; + {mu,nu,la} = Map[LorentzIndex[#, dim]&, {mui,nui,lai} /. ExplicitLorentzIndex[0]->0] // lorfix; {p,q,k} = Map[Momentum[#, dim]&, {pi,qi,ki}]//momfix; coup MomentumCombine[(Pair[q - k, mu] Pair[nu, la] + Pair[k - p, nu] Pair[la, mu] + Pair[p - q, la] Pair[mu, nu]),LeafCount -> 1000] @@ -105,7 +105,7 @@ coup = OptionValue[CouplingConstant]; dim = OptionValue[Dimension]; ope = OptionValue[OPE]; - {mu,nu,la,si} = Map[LorentzIndex[#, dim]&, {mui,nui,lai,sii}] // lorfix; + {mu,nu,la,si} = Map[LorentzIndex[#, dim]&, {mui,nui,lai,sii}/. ExplicitLorentzIndex[0]->0] // lorfix; {a,b,c,d} = Map[SUNIndex[#]&, {ai,bi,ci,di}]//momfix; e = SUNIndex[FCGV[ToString[Unique["u"]]]]; gl4v = - I coup^2 ( SUNF[a,b,e] SUNF[c,d,e] (Pair[mu,la] Pair[nu,si] - Pair[mu,si] Pair[nu,la]) + diff --git a/Tests/Feynman/GluonVertex.test b/Tests/Feynman/GluonVertex.test index 0f74541a4..373656b13 100644 --- a/Tests/Feynman/GluonVertex.test +++ b/Tests/Feynman/GluonVertex.test @@ -1,6 +1,4 @@ - - -(* :Title: Twist2GluonOperator.test *) +(* :Title: GluonVertex.test *) (* This software is covered by the GNU General Public License 3. @@ -9,19 +7,45 @@ Copyright (C) 2014-2020 Vladyslav Shtabovenko *) -(* :Summary: Framework independent unit tests for Twist2GluonOperator *) +(* :Summary: Framework independent unit tests for GluonVertex *) (* ------------------------------------------------------------------------ *) -Tests`Feynman`fcstTwist2GluonOperator = { +Tests`QCD`fcstGluonVertex = { + +{"fcstGluonVertex-ID1","MatchQ[GluonVertex[{p, mu, a}, {q, nu, b}, {r, rho, c}, {s, si, d}, +Explicit -> True] // +FCE, -I Gstrong^2 ((-MTD[mu, rho] MTD[nu, si] + + MTD[mu, nu] MTD[rho, si]) SUNF[SUNIndex[a], SUNIndex[d], + SUNIndex[FCGV[x_String]]] SUNF[SUNIndex[b], SUNIndex[c], + SUNIndex[FCGV[x_String]]] + (-MTD[mu, si] MTD[nu, rho] + + MTD[mu, nu] MTD[rho, si]) SUNF[SUNIndex[a], SUNIndex[c], + SUNIndex[FCGV[x_String]]] SUNF[SUNIndex[b], SUNIndex[d], + SUNIndex[FCGV[x_String]]] + (-MTD[mu, si] MTD[nu, rho] + + MTD[mu, rho] MTD[nu, si]) SUNF[SUNIndex[a], SUNIndex[b], + SUNIndex[FCGV[x_String]]] SUNF[SUNIndex[c], SUNIndex[d], + SUNIndex[FCGV[x_String]]])]","True"}, +{"fcstGluonVertex-ID2","GluonVertex[{p, mu, a}, {q, nu, b}, {r, rho, c}, +Explicit -> True] // FCE","Gstrong (FVD[p - q, rho] MTD[mu, nu] + FVD[-p + r, nu] MTD[mu, rho] + +FVD[q - r, mu] MTD[nu, rho]) SUNF[a, b, c]"}, +{"fcstGluonVertex-ID3","GluonVertex[{p, mu, a}, {q, 0, b}, {k, 0, c}, Explicit -> True]", +"(Pair[ExplicitLorentzIndex[0], LorentzIndex[mu]] Pair[ + ExplicitLorentzIndex[0], Momentum[k, D] - Momentum[p, D]] + +Pair[ExplicitLorentzIndex[0], LorentzIndex[mu]] Pair[ + ExplicitLorentzIndex[0], Momentum[p, D] - Momentum[q, D]] + +Pair[LorentzIndex[mu, D], -Momentum[k, D] + Momentum[q, D]]) SMP[\"g_s\"]* +SUNF[SUNIndex[a], SUNIndex[b], SUNIndex[c]]"}, +{"fcstGluonVertex-ID4","GluonVertex[{p, mu, a}, {q, 0, b}, {k, 0, c}, {r, nu, d}, +Explicit -> True]// FCCanonicalizeDummyIndices[#, SUNIndexNames -> {c1, c2}] &", +"-(((-I)*Pair[ExplicitLorentzIndex[0], LorentzIndex[mu]]*Pair[ExplicitLorentzIndex[0], +LorentzIndex[nu]]*SMP[\"g_s\"]^2 + I*Pair[LorentzIndex[mu, D], LorentzIndex[nu, D]]*SMP[\"g_s\"]^2)* +SUNF[SUNIndex[a], SUNIndex[c], SUNIndex[c1]]*SUNF[SUNIndex[b], SUNIndex[c1], SUNIndex[d]]) - +((-I)*Pair[ExplicitLorentzIndex[0], LorentzIndex[mu]]*Pair[ExplicitLorentzIndex[0], +LorentzIndex[nu]]*SMP[\"g_s\"]^2 + I*Pair[LorentzIndex[mu, D], LorentzIndex[nu, D]]*SMP[\"g_s\"]^2)* +SUNF[SUNIndex[a], SUNIndex[b], SUNIndex[c1]]*SUNF[SUNIndex[c], SUNIndex[c1], SUNIndex[d]]"} +}; + + + -{"fcstTwist2GluonOperator-ID1","Twist2GluonOperator[p, {mu, a}, {nu, b}]", -"1/2 (1 + Power2[-1, OPEm]) SUNDelta[SUNIndex[a],SUNIndex[b]] Twist2GluonOperator[ -Momentum[p, D], {LorentzIndex[mu, D]}, {LorentzIndex[nu, D]}]"}, -{"fcstTwist2GluonOperator-ID2","Twist2GluonOperator[p, {mu, a}, {nu, b}, Explicit -> True]// FCE", -"1/2 (1 + (-1)^OPEm) SD[a, b] SOD[p]^(-2 + -OPEm) (-(FVD[OPEDelta, nu] FVD[p, mu] + - FVD[OPEDelta, mu] FVD[p, nu]) SOD[p] + MTD[mu, nu] SOD[p]^2 + -FVD[OPEDelta, mu] FVD[OPEDelta, nu] SPD[p, p])"} -}; diff --git a/Tests/QCD/Twist2GluonOperator.test b/Tests/QCD/Twist2GluonOperator.test index 4778760fa..5cc81c991 100644 --- a/Tests/QCD/Twist2GluonOperator.test +++ b/Tests/QCD/Twist2GluonOperator.test @@ -1,6 +1,4 @@ - - -(* :Title: GluonVertex.test *) +(* :Title: Twist2GluonOperator.test *) (* This software is covered by the GNU General Public License 3. @@ -9,26 +7,18 @@ Copyright (C) 2014-2020 Vladyslav Shtabovenko *) -(* :Summary: Framework independent unit tests for GluonVertex *) +(* :Summary: Framework independent unit tests for Twist2GluonOperator *) (* ------------------------------------------------------------------------ *) -Tests`QCD`fcstGluonVertex = { - -{"fcstGluonVertex-ID1","MatchQ[GluonVertex[{p, mu, a}, {q, nu, b}, {r, rho, c}, {s, si, d}, -Explicit -> True] // -FCE, -I Gstrong^2 ((-MTD[mu, rho] MTD[nu, si] + - MTD[mu, nu] MTD[rho, si]) SUNF[SUNIndex[a], SUNIndex[d], - SUNIndex[FCGV[x_String]]] SUNF[SUNIndex[b], SUNIndex[c], - SUNIndex[FCGV[x_String]]] + (-MTD[mu, si] MTD[nu, rho] + - MTD[mu, nu] MTD[rho, si]) SUNF[SUNIndex[a], SUNIndex[c], - SUNIndex[FCGV[x_String]]] SUNF[SUNIndex[b], SUNIndex[d], - SUNIndex[FCGV[x_String]]] + (-MTD[mu, si] MTD[nu, rho] + - MTD[mu, rho] MTD[nu, si]) SUNF[SUNIndex[a], SUNIndex[b], - SUNIndex[FCGV[x_String]]] SUNF[SUNIndex[c], SUNIndex[d], - SUNIndex[FCGV[x_String]]])]","True"}, -{"fcstGluonVertex-ID2","GluonVertex[{p, mu, a}, {q, nu, b}, {r, rho, c}, -Explicit -> True] // FCE","Gstrong (FVD[p - q, rho] MTD[mu, nu] + FVD[-p + r, nu] MTD[mu, rho] + -FVD[q - r, mu] MTD[nu, rho]) SUNF[a, b, c]"} +Tests`Feynman`fcstGluonVertex = { +{"fcstTwist2GluonOperator-ID1","Twist2GluonOperator[p, {mu, a}, {nu, b}]", +"1/2 (1 + Power2[-1, OPEm]) SUNDelta[SUNIndex[a],SUNIndex[b]] Twist2GluonOperator[ +Momentum[p, D], {LorentzIndex[mu, D]}, {LorentzIndex[nu, D]}]"}, +{"fcstTwist2GluonOperator-ID2","Twist2GluonOperator[p, {mu, a}, {nu, b}, Explicit -> True]// FCE", +"1/2 (1 + (-1)^OPEm) SD[a, b] SOD[p]^(-2 + +OPEm) (-(FVD[OPEDelta, nu] FVD[p, mu] + + FVD[OPEDelta, mu] FVD[p, nu]) SOD[p] + MTD[mu, nu] SOD[p]^2 + +FVD[OPEDelta, mu] FVD[OPEDelta, nu] SPD[p, p])"} }; From d7f511f8beb50ac196727032ec7cccc81d448101 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 17 Apr 2020 13:56:15 +0200 Subject: [PATCH 47/86] Fixed a bug in FCI where the I eta sign of GFADs gets messed up. --- FeynCalc/Shared/FeynCalcInternal.m | 3 ++- Tests/Shared/FeynCalcInternal.test | 9 +++++++-- 2 files changed, 9 insertions(+), 3 deletions(-) diff --git a/FeynCalc/Shared/FeynCalcInternal.m b/FeynCalc/Shared/FeynCalcInternal.m index 5412e636f..c8923a019 100755 --- a/FeynCalc/Shared/FeynCalcInternal.m +++ b/FeynCalc/Shared/FeynCalcInternal.m @@ -374,7 +374,8 @@ gfadint[a___, b_, opts:OptionsPattern[]] := ( - gfadint[Sequence@@(head [a,b] //. head[x___, y_, z___]/; Head[y]=!=List :> head[x,{{y,1},1},z]),opts] + gfadEtaSign = OptionValue[GFAD,{opts},EtaSign]; + gfadint[Sequence@@(head [a,b] //. head[x___, y_, z___]/; Head[y]=!=List :> head[x,{{y,gfadEtaSign},1},z]),opts] )/;!MatchQ[{a,b},{__List}] && !OptionQ[b]; gfadint[a___List, b_List/; !OptionQ[b], opts:OptionsPattern[]] := diff --git a/Tests/Shared/FeynCalcInternal.test b/Tests/Shared/FeynCalcInternal.test index 5a679fbbf..6ccde6ca5 100644 --- a/Tests/Shared/FeynCalcInternal.test +++ b/Tests/Shared/FeynCalcInternal.test @@ -1676,8 +1676,13 @@ m1^2*x, {n, 1}]]"}, {"fcstFeynCalcInternal-ID444", "SFAD[{0, {m2^2 - m1^2*x, -1}, n}]//FCI", "FeynAmpDenominator[StandardPropagatorDenominator[0, 0, -m2^2 + \ -m1^2*x, {n, -1}]]"} - +m1^2*x, {n, -1}]]"}, +{"fcstFeynCalcInternal-ID445", +"GFAD[Sqrt[CSPD[k]], EtaSign -> -1] // FCI", +"FeynAmpDenominator[ +GenericPropagatorDenominator[Sqrt[ +CartesianPair[CartesianMomentum[k, -1 + D], +CartesianMomentum[k, -1 + D]]], {1, -1}]]"} }; From 4867d56d0c21b63a5f6cab7bc7425bc92d392a12 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 17 Apr 2020 14:03:18 +0200 Subject: [PATCH 48/86] Improved ExpandScalarProduct to expand momenta inside functions declared as tensors. --- FeynCalc/Lorentz/ExpandScalarProduct.m | 10 +++++++++- Tests/Lorentz/ExpandScalarProduct.test | 6 +++++- 2 files changed, 14 insertions(+), 2 deletions(-) diff --git a/FeynCalc/Lorentz/ExpandScalarProduct.m b/FeynCalc/Lorentz/ExpandScalarProduct.m index 68d827df2..49247f7e5 100644 --- a/FeynCalc/Lorentz/ExpandScalarProduct.m +++ b/FeynCalc/Lorentz/ExpandScalarProduct.m @@ -108,7 +108,15 @@ ]; pairexpand[x_] := - x /. (head : (Alternatives @@ objects))[arg__]/; head=!=Eps :>scevdoit[head,arg] ; + x /. (head : (Alternatives @@ objects))[arg__]/; head=!=Eps :>scevdoit[head,arg] //. { + + (head : (Alternatives @@ objects))[arg1___, z_ n_?NumberQ, arg2___]/; head=!=Eps :> + n head[arg1,z,arg2], + + (head : (Alternatives @@ objects))[arg1___, z_ n_/;DataType[n,FCVariable], arg2___]/; head=!=Eps :> + n head[arg1,z,arg2] + }; + scevdoit[head_,arg__] := Distribute[tmpHead@@(Expand[MomentumExpand/@{arg}])]/.tmpHead->head; diff --git a/Tests/Lorentz/ExpandScalarProduct.test b/Tests/Lorentz/ExpandScalarProduct.test index f7f65225d..8d8e2379f 100644 --- a/Tests/Lorentz/ExpandScalarProduct.test +++ b/Tests/Lorentz/ExpandScalarProduct.test @@ -86,5 +86,9 @@ SP[p3, q4]"}, {"fcstExpandScalarProduct-ID22", {"fcstExpandScalarProduct-ID22", "ExpandScalarProduct[Pair[Momentum[k + P], Momentum[Polarization[k + P, I]]]]", "Pair[Momentum[k], Momentum[Polarization[k + P, I]]] + -Pair[Momentum[P], Momentum[Polarization[k + P, I]]]"} +Pair[Momentum[P], Momentum[Polarization[k + P, I]]]"}, +{"fcstExpandScalarProduct-ID23", +"DeclareFCTensor[r]; tmp = r[-CartesianMomentum[k, -1 + D]] // ExpandScalarProduct; \n +UnDeclareFCTensor[r]; tmp +","-r[CartesianMomentum[k, -1 + D]]"} } From 4ba4f565d2a3c387b4ac0d82feb6701e74238c58 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 17 Apr 2020 14:04:32 +0200 Subject: [PATCH 49/86] Improved FCLoopBasisIntegralToPropagators to work with rational powers of scalar products. --- FeynCalc/LoopIntegrals/FCLoopBasis.m | 8 +++++++- Tests/LoopIntegrals/FCLoopBasis.test | 14 +++++++++++++- 2 files changed, 20 insertions(+), 2 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCLoopBasis.m b/FeynCalc/LoopIntegrals/FCLoopBasis.m index 2b91dc86e..f9c58a415 100755 --- a/FeynCalc/LoopIntegrals/FCLoopBasis.m +++ b/FeynCalc/LoopIntegrals/FCLoopBasis.m @@ -257,7 +257,11 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), (* This one should catch all nonstandard propagators. *) auxIntegralToPropagators2[pref0_. Power[exp_, n_Integer?Positive], lmoms_]:= - ConstantArray[FeynAmpDenominator[GenericPropagatorDenominator[exp, {-1, optEtaSign[[3]]}]], n]/; !FreeQ2[exp,lmoms] && FreeQ2[pref0,lmoms]; + ConstantArray[FeynAmpDenominator[GenericPropagatorDenominator[pow[pref0,1/n] exp, {-1, optEtaSign[[3]]}]], n]/; !FreeQ2[exp,lmoms] && FreeQ2[pref0,lmoms]; + + +auxIntegralToPropagators2[pref0_. Power[exp_, n_Rational?Positive/; Numerator[n]===1], lmoms_]:= + FeynAmpDenominator[GenericPropagatorDenominator[ pref0 Power[exp,n], {-1, optEtaSign[[3]]}]]/; !FreeQ2[exp,lmoms] && FreeQ2[pref0,lmoms]; auxIntegralToPropagators2[exp_, lmoms_]:= FeynAmpDenominator[GenericPropagatorDenominator[exp, {-1, optEtaSign[[3]]}]]/; !FreeQ2[exp,lmoms] && Head[exp]=!=Power; @@ -364,6 +368,8 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), pow[a_Integer?Negative, b_]/; MatchQ[1/b, _Integer?Positive] :> - Power[-a,1/b] /. pow -> Power; + FCPrint[3,"FCLoopBasisIntegralToPropagators: After auxIntegralToPropagators: ", tmp, FCDoControl->itpVerbose]; + If[ !FreeQ2[tmp,{auxIntegralToPropagators,auxIntegralToPropagators2}], Message[FCLoopBasisIntegralToPropagators::failmsg, "Failed to extract the propagators."]; Abort[] diff --git a/Tests/LoopIntegrals/FCLoopBasis.test b/Tests/LoopIntegrals/FCLoopBasis.test index 7f48acc03..d77f85675 100644 --- a/Tests/LoopIntegrals/FCLoopBasis.test +++ b/Tests/LoopIntegrals/FCLoopBasis.test @@ -1028,7 +1028,19 @@ p3,p1},FCE\[Rule]True]", SPD[p3, p3] + 2*SPD[p3, q1] + SPD[q1, q1]}, {SPD[p1, p1], SPD[p1, \ p3], SPD[p1, q], SPD[p1, q1], SPD[p3, p3], SPD[p3, q], SPD[p3, q1]}, \ {1, n, 3}, {SFAD[{{0, p1 . q}, {0, 1}, 1}], SFAD[{{-p1 + p3, 0}, {0, \ -1}, 1}], SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}]}}"} +1}, 1}], SFAD[{{p3 + q1, 0}, {m3^2, 1}, 1}]}}"}, +{"fcstFCLoopBasisIntegralToPropagators-ID60", +"FCLoopBasisIntegralToPropagators[ +Sqrt[CSPD[k]] GFAD[Sqrt[CSPD[k]] - x], {k}, FCE -> True]", +"{GFAD[{{-x + Sqrt[CSPD[k, k]], 1}, 1}], +GFAD[{{Sqrt[CSPD[k, k]], 1}, -1}]}"}, +{"fcstFCLoopBasisIntegralToPropagators-ID61", +"FCLoopBasisExtract[ +GFAD[{{CSPD[k, k] x[1] + (CSPD[k, k - 2 p] + CSPD[p, p]) x[2], 1}, + 1 + s}] CFAD[{k, -c^2}], {k}, FCE -> True]", +"{{CSPD[k, k]*x[1] + CSPD[k, k]*x[2] - 2*CSPD[k, p]*x[2] + +CSPD[p, p]*x[2], -c^2 + CSPD[k, k]}, {CSPD[k, k], CSPD[k, p]}, {1 + s, 1}, +{GFAD[{{CSPD[k, k]*x[1] + (CSPD[k, k - 2*p] + CSPD[p, p])*x[2], 1}, 1}], CFAD[{{k, 0}, {-c^2, -1}, 1}]}}"} }); Tests`LoopIntegrals`fcstFCLoopBasisCreateScalarProducts = From 2026592a7e05c9fce0cf5d5e74cf31f4bb444244 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Fri, 17 Apr 2020 14:29:41 +0200 Subject: [PATCH 50/86] Added new option Uncontract to FCMultiLoopTID. This allows to tell the function to uncontract specified momenta from scalar products and perform reduction on the resulting tensor integrals. Effectively, the function will then behave similarly to TID. --- FeynCalc/LoopIntegrals/FCMultiLoopTID.m | 9 ++++++--- Tests/LoopIntegrals/FCMultiLoopTID.test | 10 ++++++---- 2 files changed, 12 insertions(+), 7 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m index f3b261623..a4df906ce 100644 --- a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m +++ b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m @@ -60,7 +60,8 @@ FCI -> False, FCVerbose -> False, FDS -> True, - TimeConstrained -> 3 + TimeConstrained -> 3, + Uncontract -> {Polarization} }; FCMultiLoopTID[expr_List, qs_List/; FreeQ[qs, OptionQ], opts:OptionsPattern[]] := @@ -69,11 +70,13 @@ FCMultiLoopTID[expr_/;Head[expr]=!=List, qs_List/; FreeQ[qs, OptionQ], OptionsPattern[]] := Block[{ n, ex, rest, loopInts, intsUnique, repRule, solsList, null1, null2, res, tmpli, time, mltidIsolate, optFactoring, - optTimeConstrained}, + optTimeConstrained, optUncontract}, optFactoring = OptionValue[Factoring]; optTimeConstrained = OptionValue[TimeConstrained]; + optUncontract = OptionValue[Uncontract]; + If [OptionValue[FCVerbose]===False, mltidVerbose=$VeryVerbose, If[MatchQ[OptionValue[FCVerbose], _Integer], @@ -152,7 +155,7 @@ FCPrint[1, "FCMultiLoopTID: Uncontracting Lorentz indices.", FCDoControl->mltidVerbose]; - ex = Uncontract[ex, Sequence@@qs, Pair -> {Polarization}, CartesianPair-> {Polarization}, FCI->True]; + ex = Uncontract[ex, Sequence@@qs, Pair -> optUncontract, CartesianPair-> optUncontract, FCI->True]; If[ !FreeQ[ex,DiracTrace], FCPrint[1, "FCMultiLoopTID: Applying FCTraceExpand.", FCDoControl->mltidVerbose]; diff --git a/Tests/LoopIntegrals/FCMultiLoopTID.test b/Tests/LoopIntegrals/FCMultiLoopTID.test index f33a62df4..aba511684 100644 --- a/Tests/LoopIntegrals/FCMultiLoopTID.test +++ b/Tests/LoopIntegrals/FCMultiLoopTID.test @@ -366,10 +366,12 @@ DiracTrace[GAD[mu].(GSD[q] + m).GAD[nu, rho, 5]] FAD[q, q - p], {q}, DiracSimplify -> False, FCE -> True]","m DiracTrace[GAD[mu].GAD[nu].GAD[rho].GA[5]] FAD[q, -p + q] + 1/2 DiracTrace[GAD[mu].GSD[p].GAD[nu].GAD[rho].GA[5]] FAD[q, -p + q]"}, {"fcstFCMultiLoopTID-ID28", -"FCSetDiracGammaScheme["BMHV"];\n -tmp = FCMultiLoopTID[CV[P, i] CFAD[P - k, {P, c^2}], {P}, FCE -> True]; -FCSetDiracGammaScheme["NDR"]; \n tmp", +"FCSetDiracGammaScheme[\"BMHV\"];\n +tmp = FCMultiLoopTID[CV[P, i] CFAD[P - k, {P, c^2}], {P}, FCE -> True]; \n +FCSetDiracGammaScheme[\"NDR\"]; \n tmp", "-(CFAD[{{P, 0}, {c^2, -1}, 1}]*CV[k, i])/(2*CSPD[k, k]) - (CFAD[{{P, 0}, {0, -1}, 1}, {{k + P, 0}, {c^2, -1}, 1}]*(c^2 - -CSPD[k, k])*CV[k, i])/(2*CSPD[k, k])"} +CSPD[k, k])*CV[k, i])/(2*CSPD[k, k])"}, +{"fcstFCMultiLoopTID-ID29", "FCMultiLoopTID[FAD[p, p - q] SPD[p, n], {p}, Uncontract -> {p}, +FCE -> True]","(FAD[p, p - q]*SPD[n, q])/2"} }) From 1c34cf4afb50d9d7788f04d72a47b72b2942903c Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Mon, 27 Apr 2020 23:14:54 +0200 Subject: [PATCH 51/86] Fixed a serious bug in EpsChisholm: in some cases the relative signs might be incorrect in the final and intermediate expressions. --- FeynCalc/Dirac/EpsChisholm.m | 8 +- Tests/Dirac/EpsChisholm.test | 193 ++++++++++++++++++++--------------- 2 files changed, 115 insertions(+), 86 deletions(-) diff --git a/FeynCalc/Dirac/EpsChisholm.m b/FeynCalc/Dirac/EpsChisholm.m index f52cabd02..a4c2f997a 100755 --- a/FeynCalc/Dirac/EpsChisholm.m +++ b/FeynCalc/Dirac/EpsChisholm.m @@ -84,18 +84,22 @@ FCPrint[1, "EpsChisholm: Done extracting Dirac objects, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->esVerbose]; + FCPrint[3, "EpsChisholm: diracObjects: ", diracObjects, FCDoControl->esVerbose]; + time=AbsoluteTime[]; diracObjectsEval = diracObjects/. Eps->eeps /. DOT->holdDOT //. { dsHead[m_. holdDOT[x__] eeps[a___, LorentzIndex[in_], b__]]/;!FreeQ[{x},in] :> - (-1^Length[{b}]) dsHead[m eeps2[a, b, LorentzIndex[in]] holdDOT[x]], + ((-1)^Length[{b}]) dsHead[m eeps2[a, b, LorentzIndex[in]] holdDOT[x]], dsHead[m_. DiracChain[holdDOT[x__],z1_, z2_] eeps[a___, LorentzIndex[in_], b__]]/;!FreeQ[{x},in] :> - (-1^Length[{b}]) dsHead[m eeps2[a, b, LorentzIndex[in]] DiracChain[holdDOT[x],z1,z2]] + ((-1)^Length[{b}]) dsHead[m eeps2[a, b, LorentzIndex[in]] DiracChain[holdDOT[x],z1,z2]] }; diracObjectsEval = diracObjectsEval/.eeps2->eeps; + FCPrint[3, "EpsChisholm: diracObjects after eps reordering: ", diracObjectsEval, FCDoControl->esVerbose]; + diracObjectsEval = diracObjectsEval //. dsHead[m_. holdDOT[x___, DiracGamma[in_LorentzIndex],y___] eeps[a_,b_,c_,in_LorentzIndex]] :> (Conjugate[$LeviCivitaSign] I ( dsHead[m holdDOT[x,DiracGamma[a], DiracGamma[b], DiracGamma[c], DiracGamma[5],y]] - dsHead[m ExpandScalarProduct[Pair[a,b],FCI->True] holdDOT[x,DiracGamma[c],DiracGamma[5],y]] diff --git a/Tests/Dirac/EpsChisholm.test b/Tests/Dirac/EpsChisholm.test index e772d22e9..d39e5b35c 100644 --- a/Tests/Dirac/EpsChisholm.test +++ b/Tests/Dirac/EpsChisholm.test @@ -19,87 +19,110 @@ Tests`Dirac`fcstEpsChisholm = ({ {"fcstEpsChisholm-ID1", "EpsChisholm[GA[i1,i2,i3,i4,i5,i6,i7,i8,i9]LC[j1,i1,j2,j3]]//FCE", -"I*GA[j1] . GA[j2] . GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i5] . \ -GA[i6] . GA[i7] . GA[i8] . GA[i9] . GA[5] - I*GA[j3] . GA[i2] . \ -GA[i3] . GA[i4] . GA[i5] . GA[i6] . GA[i7] . GA[i8] . GA[i9] . \ -GA[5]*MT[j1, j2] + I*GA[j2] . GA[i2] . GA[i3] . GA[i4] . GA[i5] . \ -GA[i6] . GA[i7] . GA[i8] . GA[i9] . GA[5]*MT[j1, j3] - I*GA[j1] . \ -GA[i2] . GA[i3] . GA[i4] . GA[i5] . GA[i6] . GA[i7] . GA[i8] . GA[i9] \ -. GA[5]*MT[j2, j3]"}, +"(-I)*GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[i5].GA[i6].GA[ + i7].GA[i8].GA[i9].GA[5] + +I*GA[j3].GA[i2].GA[i3].GA[i4].GA[i5].GA[i6].GA[i7].GA[i8].GA[i9].GA[ + 5]*MT[j1, j2] - +I*GA[j2].GA[i2].GA[i3].GA[i4].GA[i5].GA[i6].GA[i7].GA[i8].GA[i9].GA[ + 5]*MT[j1, j3] + +I*GA[j1].GA[i2].GA[i3].GA[i4].GA[i5].GA[i6].GA[i7].GA[i8].GA[i9].GA[ + 5]*MT[j2, j3]"}, {"fcstEpsChisholm-ID2","$LeviCivitaSign = I; \n tmp=EpsChisholm[GA[i1,i2,i3,i4,i5,i6,i7,i8,i9]LC[j1,i1,j2,j3]]//FCE; \n $LeviCivitaSign = -1; \n tmp", -"-GA[j1] . GA[j2] . GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i5] . \ -GA[i6] . GA[i7] . GA[i8] . GA[i9] . GA[5] + GA[j3] . GA[i2] . GA[i3] \ -. GA[i4] . GA[i5] . GA[i6] . GA[i7] . GA[i8] . GA[i9] . GA[5]*MT[j1, \ -j2] - GA[j2] . GA[i2] . GA[i3] . GA[i4] . GA[i5] . GA[i6] . GA[i7] . \ -GA[i8] . GA[i9] . GA[5]*MT[j1, j3] + GA[j1] . GA[i2] . GA[i3] . \ -GA[i4] . GA[i5] . GA[i6] . GA[i7] . GA[i8] . GA[i9] . GA[5]*MT[j2, \ -j3]"}, +"GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[i5].GA[i6].GA[i7].GA[ +i8].GA[i9].GA[5] - +GA[j3].GA[i2].GA[i3].GA[i4].GA[i5].GA[i6].GA[i7].GA[i8].GA[i9].GA[5]* +MT[j1, j2] + +GA[j2].GA[i2].GA[i3].GA[i4].GA[i5].GA[i6].GA[i7].GA[i8].GA[i9].GA[5]* +MT[j1, j3] - +GA[j1].GA[i2].GA[i3].GA[i4].GA[i5].GA[i6].GA[i7].GA[i8].GA[i9].GA[5]* +MT[j2, j3]"}, {"fcstEpsChisholm-ID3", "EpsChisholm[GA[i1,i2,i3,i4,i5,i6,i7,i8,i9]LC[j1,i1,j2,j3]LC[jj1,\ jj2,i5,jj3]]//FCE", -"-GA[j1] . GA[j2] . GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[jj1] . \ -GA[jj2] . GA[jj3] . GA[i6] . GA[i7] . GA[i8] . GA[i9] + GA[j3] . \ -GA[i2] . GA[i3] . GA[i4] . GA[jj1] . GA[jj2] . GA[jj3] . GA[i6] . \ -GA[i7] . GA[i8] . GA[i9]*MT[j1, j2] - GA[j2] . GA[i2] . GA[i3] . \ -GA[i4] . GA[jj1] . GA[jj2] . GA[jj3] . GA[i6] . GA[i7] . GA[i8] . \ -GA[i9]*MT[j1, j3] + GA[j1] . GA[i2] . GA[i3] . GA[i4] . GA[jj1] . \ -GA[jj2] . GA[jj3] . GA[i6] . GA[i7] . GA[i8] . GA[i9]*MT[j2, j3] + \ -GA[j1] . GA[j2] . GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[jj3] . \ -GA[i6] . GA[i7] . GA[i8] . GA[i9]*MT[jj1, jj2] - GA[j3] . GA[i2] . \ -GA[i3] . GA[i4] . GA[jj3] . GA[i6] . GA[i7] . GA[i8] . GA[i9]*MT[j1, \ -j2]*MT[jj1, jj2] + GA[j2] . GA[i2] . GA[i3] . GA[i4] . GA[jj3] . \ -GA[i6] . GA[i7] . GA[i8] . GA[i9]*MT[j1, j3]*MT[jj1, jj2] - GA[j1] . \ -GA[i2] . GA[i3] . GA[i4] . GA[jj3] . GA[i6] . GA[i7] . GA[i8] . \ -GA[i9]*MT[j2, j3]*MT[jj1, jj2] - GA[j1] . GA[j2] . GA[j3] . GA[i2] . \ -GA[i3] . GA[i4] . GA[jj2] . GA[i6] . GA[i7] . GA[i8] . GA[i9]*MT[jj1, \ -jj3] + GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[jj2] . GA[i6] . GA[i7] \ -. GA[i8] . GA[i9]*MT[j1, j2]*MT[jj1, jj3] - GA[j2] . GA[i2] . GA[i3] \ -. GA[i4] . GA[jj2] . GA[i6] . GA[i7] . GA[i8] . GA[i9]*MT[j1, \ -j3]*MT[jj1, jj3] + GA[j1] . GA[i2] . GA[i3] . GA[i4] . GA[jj2] . \ -GA[i6] . GA[i7] . GA[i8] . GA[i9]*MT[j2, j3]*MT[jj1, jj3] + GA[j1] . \ -GA[j2] . GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[jj1] . GA[i6] . \ -GA[i7] . GA[i8] . GA[i9]*MT[jj2, jj3] - GA[j3] . GA[i2] . GA[i3] . \ -GA[i4] . GA[jj1] . GA[i6] . GA[i7] . GA[i8] . GA[i9]*MT[j1, \ -j2]*MT[jj2, jj3] + GA[j2] . GA[i2] . GA[i3] . GA[i4] . GA[jj1] . \ -GA[i6] . GA[i7] . GA[i8] . GA[i9]*MT[j1, j3]*MT[jj2, jj3] - GA[j1] . \ -GA[i2] . GA[i3] . GA[i4] . GA[jj1] . GA[i6] . GA[i7] . GA[i8] . \ -GA[i9]*MT[j2, j3]*MT[jj2, jj3]"}, +"GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[jj1].GA[jj2].GA[jj3].GA[ +i6].GA[i7].GA[i8].GA[i9] - +GA[j3].GA[i2].GA[i3].GA[i4].GA[jj1].GA[jj2].GA[jj3].GA[i6].GA[i7].GA[ + i8].GA[i9]*MT[j1, j2] + +GA[j2].GA[i2].GA[i3].GA[i4].GA[jj1].GA[jj2].GA[jj3].GA[i6].GA[i7].GA[ + i8].GA[i9]*MT[j1, j3] - +GA[j1].GA[i2].GA[i3].GA[i4].GA[jj1].GA[jj2].GA[jj3].GA[i6].GA[i7].GA[ + i8].GA[i9]*MT[j2, j3] - +GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[jj3].GA[i6].GA[i7].GA[ + i8].GA[i9]*MT[jj1, jj2] + +GA[j3].GA[i2].GA[i3].GA[i4].GA[jj3].GA[i6].GA[i7].GA[i8].GA[i9]* +MT[j1, j2]*MT[jj1, jj2] - +GA[j2].GA[i2].GA[i3].GA[i4].GA[jj3].GA[i6].GA[i7].GA[i8].GA[i9]* +MT[j1, j3]*MT[jj1, jj2] + +GA[j1].GA[i2].GA[i3].GA[i4].GA[jj3].GA[i6].GA[i7].GA[i8].GA[i9]* +MT[j2, j3]*MT[jj1, jj2] + +GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[jj2].GA[i6].GA[i7].GA[ + i8].GA[i9]*MT[jj1, jj3] - +GA[j3].GA[i2].GA[i3].GA[i4].GA[jj2].GA[i6].GA[i7].GA[i8].GA[i9]* +MT[j1, j2]*MT[jj1, jj3] + +GA[j2].GA[i2].GA[i3].GA[i4].GA[jj2].GA[i6].GA[i7].GA[i8].GA[i9]* +MT[j1, j3]*MT[jj1, jj3] - +GA[j1].GA[i2].GA[i3].GA[i4].GA[jj2].GA[i6].GA[i7].GA[i8].GA[i9]* +MT[j2, j3]*MT[jj1, jj3] - +GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[jj1].GA[i6].GA[i7].GA[ + i8].GA[i9]*MT[jj2, jj3] + +GA[j3].GA[i2].GA[i3].GA[i4].GA[jj1].GA[i6].GA[i7].GA[i8].GA[i9]* +MT[j1, j2]*MT[jj2, jj3] - +GA[j2].GA[i2].GA[i3].GA[i4].GA[jj1].GA[i6].GA[i7].GA[i8].GA[i9]* +MT[j1, j3]*MT[jj2, jj3] + +GA[j1].GA[i2].GA[i3].GA[i4].GA[jj1].GA[i6].GA[i7].GA[i8].GA[i9]* +MT[j2, j3]*MT[jj2, jj3]"}, {"fcstEpsChisholm-ID4", "EpsChisholm[GA[i1,i2,i3,i4,i6,i7,i8,i9].SUNT[a].GA[i5].SUNT[b]LC[\ j1,i1,j2,j3]LC[jj1,jj2,i5,jj3]]//FCE", -"-(SUNT[a] . SUNT[b]*GA[j1] . GA[j2] . GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . - GA[i7] . GA[i8] . GA[i9] . GA[jj1] . GA[jj2] . GA[jj3]) + -SUNT[a] . SUNT[b]*GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj1] . GA[jj2] . GA[jj3]*MT[j1, j2] - -SUNT[a] . SUNT[b]*GA[j2] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj1] . GA[jj2] . GA[jj3]*MT[j1, j3] + -SUNT[a] . SUNT[b]*GA[j1] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj1] . GA[jj2] . GA[jj3]*MT[j2, j3] + -SUNT[a] . SUNT[b]*GA[j1] . GA[j2] . GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . -GA[i7] . GA[i8] . GA[i9] . GA[jj3]*MT[jj1, jj2] - -SUNT[a] . SUNT[b]*GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj3]*MT[j1, j2]*MT[jj1, jj2] + -SUNT[a] . SUNT[b]*GA[j2] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj3]*MT[j1, j3]*MT[jj1, jj2] - -SUNT[a] . SUNT[b]*GA[j1] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj3]*MT[j2, j3]*MT[jj1, jj2] - -SUNT[a] . SUNT[b]*GA[j1] . GA[j2] . GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . -GA[i7] . GA[i8] . GA[i9] . GA[jj2]*MT[jj1, jj3] + -SUNT[a] . SUNT[b]*GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj2]*MT[j1, j2]*MT[jj1, jj3] - -SUNT[a] . SUNT[b]*GA[j2] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj2]*MT[j1, j3]*MT[jj1, jj3] + -SUNT[a] . SUNT[b]*GA[j1] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj2]*MT[j2, j3]*MT[jj1, jj3] + -SUNT[a] . SUNT[b]*GA[j1] . GA[j2] . GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . -GA[i7] . GA[i8] . GA[i9] . GA[jj1]*MT[jj2, jj3] - -SUNT[a] . SUNT[b]*GA[j3] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj1]*MT[j1, j2]*MT[jj2, jj3] + -SUNT[a] . SUNT[b]*GA[j2] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj1]*MT[j1, j3]*MT[jj2, jj3] - -SUNT[a] . SUNT[b]*GA[j1] . GA[i2] . GA[i3] . GA[i4] . GA[i6] . GA[i7] . GA[i8] . -GA[i9] . GA[jj1]*MT[j2, j3]*MT[jj2, jj3]"}, +"SUNT[a].SUNT[b]* +GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[ + i9].GA[jj1].GA[jj2].GA[jj3] - +SUNT[a].SUNT[b]* +GA[j3].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj1].GA[ + jj2].GA[jj3]*MT[j1, j2] + +SUNT[a].SUNT[b]* +GA[j2].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj1].GA[ + jj2].GA[jj3]*MT[j1, j3] - +SUNT[a].SUNT[b]* +GA[j1].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj1].GA[ + jj2].GA[jj3]*MT[j2, j3] - +SUNT[a].SUNT[b]* +GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[ + i9].GA[jj3]*MT[jj1, jj2] + +SUNT[a].SUNT[b]* +GA[j3].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj3]* +MT[j1, j2]*MT[jj1, jj2] - +SUNT[a].SUNT[b]* +GA[j2].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj3]* +MT[j1, j3]*MT[jj1, jj2] + +SUNT[a].SUNT[b]* +GA[j1].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj3]* +MT[j2, j3]*MT[jj1, jj2] + +SUNT[a].SUNT[b]* +GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[ + i9].GA[jj2]*MT[jj1, jj3] - +SUNT[a].SUNT[b]* +GA[j3].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj2]* +MT[j1, j2]*MT[jj1, jj3] + +SUNT[a].SUNT[b]* +GA[j2].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj2]* +MT[j1, j3]*MT[jj1, jj3] - +SUNT[a].SUNT[b]* +GA[j1].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj2]* +MT[j2, j3]*MT[jj1, jj3] - +SUNT[a].SUNT[b]* +GA[j1].GA[j2].GA[j3].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[ + i9].GA[jj1]*MT[jj2, jj3] + +SUNT[a].SUNT[b]* +GA[j3].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj1]* +MT[j1, j2]*MT[jj2, jj3] - +SUNT[a].SUNT[b]* +GA[j2].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj1]* +MT[j1, j3]*MT[jj2, jj3] + +SUNT[a].SUNT[b]* +GA[j1].GA[i2].GA[i3].GA[i4].GA[i6].GA[i7].GA[i8].GA[i9].GA[jj1]* +MT[j2, j3]*MT[jj2, jj3]"}, {"fcstEpsChisholm-ID5", "EpsChisholm[Chisholm[GA[i1,i2,i3,i4]]]//FCE", "GA[i1] . GA[i2] . GA[i3] . GA[i4]"}, @@ -113,25 +136,27 @@ GA[i9] . GA[jj1]*MT[j2, j3]*MT[jj2, jj3]"}, Spinor[Momentum[p1], m1, 1].GS[k].Spinor[-Momentum[p2], m2, 1]"}, {"fcstEpsChisholm-ID8", "EpsChisholm[GA[i1].CGA[k] LC[j1, i1, j2, j3]] // FCE", -"-I GA[j1].GA[j2].GA[j3].CGA[k].GA[5] + -I GA[j3].CGA[k].GA[5] MT[j1, j2] - I GA[j2].CGA[k].GA[5] MT[j1, j3] + -I GA[j1].CGA[k].GA[5] MT[j2, j3]"}, +"I*GA[j1].GA[j2].GA[j3].CGA[k].GA[5] - +I*GA[j3].CGA[k].GA[5]*MT[j1, j2] + I*GA[j2].CGA[k].GA[5]*MT[j1, j3] - +I*GA[j1].CGA[k].GA[5]*MT[j2, j3]"}, {"fcstEpsChisholm-ID9", "EpsChisholm[ GA[i1].CGA[k] Eps[CartesianIndex[a], LorentzIndex[i1], CartesianIndex[b], CartesianIndex[c]]] // FCE", -"-I CGA[a].CGA[b].CGA[c].CGA[k].GA[5] - -I CGA[c].CGA[k].GA[5] KD[a, b] + I CGA[b].CGA[k].GA[5] KD[a, c] - -I CGA[a].CGA[k].GA[5] KD[b, c]"}, +"I*CGA[a].CGA[b].CGA[c].CGA[k].GA[5] + I*CGA[c].CGA[k].GA[5]*KD[a, b] - +I*CGA[b].CGA[k].GA[5]*KD[a, c] + I*CGA[a].CGA[k].GA[5]*KD[b, c]"}, {"fcstEpsChisholm-ID10","EpsChisholm[DCHN[GA[i1, mu], a, b] LC[j1, i1, j2, j3],FCE->True]", -"-I DCHN[GA[j1].GA[j2].GA[j3].GA[mu].GA[5], a, b] + -I DCHN[GA[j3].GA[mu].GA[5], a, b] MT[j1, j2] - -I DCHN[GA[j2].GA[mu].GA[5], a, b] MT[j1, j3] + -I DCHN[GA[j1].GA[mu].GA[5], a, b] MT[j2, j3]"}, +"I*DCHN[GA[j1].GA[j2].GA[j3].GA[mu].GA[5], a, b] - +I*DCHN[GA[j3].GA[mu].GA[5], a, b]*MT[j1, j2] + +I*DCHN[GA[j2].GA[mu].GA[5], a, b]*MT[j1, j3] - +I*DCHN[GA[j1].GA[mu].GA[5], a, b]*MT[j2, j3]"}, {"fcstEpsChisholm-ID11","EpsChisholm[GA[mu, nu] LC[mu, nu][p, q] == x, FCE -> True]", "-I GS[p].GS[q].GA[5] + I GS[q].GS[p].GA[5] == x"}, {"fcstEpsChisholm-ID12","EpsChisholm[{GA[mu, nu] LC[mu, nu][p, q], GA[mu, nu] LC[mu, nu][a, b]}, FCE -> True]", "{-I GS[p].GS[q].GA[5] + I GS[q].GS[p].GA[5], -I GS[a].GS[b].GA[5] + -I GS[b].GS[a].GA[5]}"} +I GS[b].GS[a].GA[5]}"}, +{"fcstEpsChisholm-ID13", +"EpsChisholm[-LC[mu, rho, nu, si] GA[rho, si, 5], FCE -> True]", +"-3 I GA[mu].GA[nu] - I GA[nu].GA[mu] + 4 I MT[mu, nu]"} }); From 792b9dbc739fe653379e74793eaad9069f14671f Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Mon, 27 Apr 2020 23:15:23 +0200 Subject: [PATCH 52/86] Improved debugging output in DiracReduce. --- FeynCalc/Dirac/DiracReduce.m | 22 +++++++++++++++++++--- 1 file changed, 19 insertions(+), 3 deletions(-) diff --git a/FeynCalc/Dirac/DiracReduce.m b/FeynCalc/Dirac/DiracReduce.m index 285004383..c2b884691 100644 --- a/FeynCalc/Dirac/DiracReduce.m +++ b/FeynCalc/Dirac/DiracReduce.m @@ -86,37 +86,53 @@ to the standard basis (S,P,V,A,T) using the Chisholm identity (see Chisholm). \ tmp = ex /. {DiracGamma[6] :> (1/2 + DiracGamma[5]/2), DiracGamma[7] :> (1/2 - DiracGamma[5]/2)}; If[ OptionValue[DiracGammaCombine], + FCPrint[1, "DiracReduce: Applying DiracGammaCombine.", FCDoControl->drVerbose]; tmp = DiracGammaCombine[tmp,FCI->True] ]; If[ OptionValue[DotSimplify], + FCPrint[1, "DiracReduce: Applying DotSimplify.", FCDoControl->drVerbose]; tmp = DotSimplify[tmp,FCI->True] ]; (* Chisholm identity recursively *) + FCPrint[1, "DiracReduce: Applying Chisholm.", FCDoControl->drVerbose]; + + + tmp = Chisholm[tmp,FCI->True, DiracSimplify -> False]; FCPrint[3, "DiracReduce: After Chisholm: ", tmp, FCDoControl->drVerbose]; + + If[ OptionValue[DiracOrder], - tmp = DiracOrder[tmp, FCI->True]; - FCPrint[3, "DiracReduce: After DiracOrder: ", tmp, FCDoControl->drVerbose]; + FCPrint[1, "DiracReduce: Applying DiracOrder.", FCDoControl->drVerbose]; + tmp = DiracOrder[tmp, FCI->True]; + FCPrint[3, "DiracReduce: After DiracOrder: ", tmp, FCDoControl->drVerbose]; ]; + FCPrint[1, "DiracReduce: Applying Chisholm (mode 2).", FCDoControl->drVerbose]; tmp = Chisholm[tmp,FCI->True,DiracSimplify->False,Mode->2]; FCPrint[3, "DiracReduce: After Chisholm: ", tmp, FCDoControl->drVerbose]; + FCPrint[1, "DiracReduce: Introducing DiracSigma.", FCDoControl->drVerbose]; tmp = tmp /. DOT[DiracGamma[a_[xx_]], DiracGamma[b_[yy_]]] :> (-I DiracSigma[DiracGamma[a[xx]], DiracGamma[b[yy]]]+Pair[b[yy], a[xx]]); FCPrint[3, "DiracReduce: After introducing DiracSigma: ", tmp, FCDoControl->drVerbose]; If[ diracSimplify, + FCPrint[1, "DiracReduce: Applying DiracSimplify.", FCDoControl->drVerbose]; tmp = DiracSimplify[tmp, DiracSigmaExplicit -> False, FCI->True, FCCanonicalizeDummyIndices->True]; FCPrint[3, "DiracReduce: After DiracSimplify: ", tmp, FCDoControl->drVerbose] ]; + FCPrint[1, "DiracReduce: Applying Collect2.", FCDoControl->drVerbose]; tmp = Collect2[tmp, DiracGamma, Factoring -> factoring]; - FCPrint[2,"collecting done"]; + + + (* get the S - part *) + FCPrint[1, "DiracReduce: Extracting the S-piece.", FCDoControl->drVerbose]; spart = SelectFree[tmp + null1 + null2, DiracGamma] /. null1|null2 :> 0; tmp = tmp - spart; From e73b06244a823385b1fa98438d2b763e2ce15d73 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Tue, 28 Apr 2020 13:10:31 +0200 Subject: [PATCH 53/86] Moved the DropScaleless option to SharedOptions.m --- FeynCalc/LoopIntegrals/FCLoopIsolate.m | 6 ------ FeynCalc/Shared/SharedOptions.m | 6 ++++++ 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCLoopIsolate.m b/FeynCalc/LoopIntegrals/FCLoopIsolate.m index 4fac68244..e1f715e09 100755 --- a/FeynCalc/LoopIntegrals/FCLoopIsolate.m +++ b/FeynCalc/LoopIntegrals/FCLoopIsolate.m @@ -28,12 +28,6 @@ that depend only on some of the loop momenta will be treated \ as non-loop terms and remain non-isolated." -DropScaleless::usage = -"DropScaleless is an option for FCLoopIsolate. When set to True, \ -all the loop integrals that do not contain FeynAmpDenominator, \ -i.e. contain only scalar products but no denominators, are set \ -to zero."; - FCLoopIsolate::fail = "FCLoopIsolate failed to isolate loop integrals in `1`!"; diff --git a/FeynCalc/Shared/SharedOptions.m b/FeynCalc/Shared/SharedOptions.m index e1b614b6e..0d58ba47a 100644 --- a/FeynCalc/Shared/SharedOptions.m +++ b/FeynCalc/Shared/SharedOptions.m @@ -54,6 +54,12 @@ "Divideout is an option for OPEInt and OPEInsert. \ The setting is divided out at the end."; +DropScaleless::usage = +"DropScaleless is an option for FCLoopIsolate, ApartFF, FourDivergence \ +and other functions. When set to True, all the loop integrals \ +that do not contain a FeynAmpDenominator, i.e. consist of only \ +scalar products but no denominators, are set to zero."; + EpsilonOrder::usage = "EpsilonOrder is an option of OPEIntegrateDelta and RHI. The setting \ determines the order n (Epsilon^n) which should be kept."; From 142f19771262d8949c62af1fad39a20d7331e895 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Tue, 28 Apr 2020 14:31:58 +0200 Subject: [PATCH 54/86] Improved ApartFF for nonstandard integrals by adding the extraPiece-Mode. By multiplying the integral with unity consisting of a suitably chosen numerator and denominator one can often cast integrals into a desired form which would not be achievable automatically otherwise. --- .../English/ReferencePages/Symbols/Apart2.nb | 242 +++++++++++++++++- FeynCalc/LoopIntegrals/Apart.m | 109 +++++--- FeynCalc/LoopIntegrals/FCApart.m | 83 ++++-- FeynCalc/LoopIntegrals/FCLoopSplit.m | 12 +- Tests/LoopIntegrals/ApartFF.test | 33 ++- Tests/LoopIntegrals/FCApart.test | 29 ++- 6 files changed, 435 insertions(+), 73 deletions(-) diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/Apart2.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/Apart2.nb index 6efde5a57..bafc4a041 100644 --- a/FeynCalc/DocSource/English/ReferencePages/Symbols/Apart2.nb +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/Apart2.nb @@ -118,9 +118,8 @@ Cell[TextData[{ Cell[" ", "ModInfo"], Cell[BoxData[ RowBox[{"Apart2", "[", "expr", "]"}]], "InlineFormula"], - " \[LineSeparator]partial fractions very simple 1-loop integrals of the form \ -1/[(q^2-m1^2)(q^2-m2^2)]. Since FeynCalc 9 this function is deprecated. \ -Please use ApartFF instead." + " \[LineSeparator]partial fractions propagators of the form \ +1/[(q^2-m1^2)(q^2-m2^2)]." }], "Usage", CellID->982511436], @@ -129,7 +128,7 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Options", "[", "Apart2", "]"}]], "Input", CellTags->"Apart2", - CellLabel->"In[223]:=", + CellLabel->"In[1]:=", CellID->1571464480], Cell[BoxData[ @@ -137,10 +136,14 @@ Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"Factoring", "\[Rule]", "True"}], ",", + RowBox[{"FeynCalcExternal", "\[Rule]", "False"}], ",", + RowBox[{"FeynCalcInternal", "\[Rule]", "False"}], ",", RowBox[{"ExcludeMasses", "\[Rule]", - RowBox[{"{", "}"}]}]}], "}"}], TraditionalForm]], "Output", + RowBox[{"{", "}"}]}], ",", + RowBox[{"Sqrt", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output", + CellTags->"Apart2", - CellLabel->"Out[223]="] + CellLabel->"Out[1]="] }, Open ]] }, Open ]], @@ -230,7 +233,7 @@ Cell[BoxData[ RowBox[{"q", ",", "M"}], "}"}], ",", RowBox[{"q", "-", "p"}]}], "]"}]], "Input", CellTags->"Apart2", - CellLabel->"In[224]:=", + CellLabel->"In[2]:=", CellID->1580962822], Cell[BoxData[ @@ -289,7 +292,7 @@ Cell[BoxData[ FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], Editable->False]}]], TraditionalForm]], "Output", CellTags->"Apart2", - CellLabel->"Out[224]="] + CellLabel->"Out[2]="] }, Open ]], Cell[CellGroupData[{ @@ -297,7 +300,7 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Apart2", "[", "%", "]"}]], "Input", CellTags->"Apart2", - CellLabel->"In[225]:=", + CellLabel->"In[3]:=", CellID->867958772], Cell[BoxData[ @@ -390,7 +393,7 @@ Cell[BoxData[ SuperscriptBox["m", "2"], "-", SuperscriptBox["M", "2"]}]], TraditionalForm]], "Output", CellTags->"Apart2", - CellLabel->"Out[225]="] + CellLabel->"Out[3]="] }, Open ]], Cell[CellGroupData[{ @@ -399,7 +402,7 @@ Cell[BoxData[ RowBox[{"StandardForm", "[", RowBox[{"FCE", "[", "%", "]"}], "]"}]], "Input", CellTags->"Apart2", - CellLabel->"In[226]:=", + CellLabel->"In[4]:=", CellID->168515472], Cell[BoxData[ @@ -421,7 +424,218 @@ Cell[BoxData[ SuperscriptBox["m", "2"], "-", SuperscriptBox["M", "2"]}]]], "Output", CellTags->"Apart2", - CellLabel->"Out[226]//StandardForm="] + CellLabel->"Out[4]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + +Cell[TextData[{ + "Apart2 can also handle Cartesian propagators with square roots. To disable \ +this mode use ", + Cell[BoxData[ + RowBox[{"Sqrt", "\[Rule]", "False"}]], "InlineFormula"], + " " +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"CFAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"k", ",", "0"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"+", + RowBox[{"m", "^", "2"}]}], ",", + RowBox[{"-", "1"}]}], "}"}], ",", "1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k", "-", "p"}], ",", "0"}], "}"}], ",", + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"-", "1"}]}], "}"}], ",", "1"}], "}"}]}], "]"}], + RowBox[{"GFAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"DE", "-", + SqrtBox[ + RowBox[{"CSPD", "[", + RowBox[{"k", ",", "k"}], "]"}]]}], ",", "1"}], "}"}], ",", "1"}], + "}"}], "]"}]}]}]], "Input", + CellLabel->"In[5]:=", + CellID->1827687893], + +Cell[BoxData[ + FormBox[ + FormBox[ + FractionBox["1", + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{"DE", "-", + SqrtBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2], TraditionalForm]]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], " ", + RowBox[{ + TemplateBox[{"\"(\"",SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2],"\"+\"",SuperscriptBox["m", "2"],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], + TraditionalForm], "-", + FormBox[ + StyleBox["p", Bold, StripOnInput -> False], + TraditionalForm]}], TraditionalForm], TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]}]], + TraditionalForm], TraditionalForm]], "Output", + CellLabel->"Out[5]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"int", "//", "FeynAmpDenominatorCombine"}], "//", + "Apart2"}]], "Input", + CellLabel->"In[7]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FractionBox["1", + RowBox[{ + SuperscriptBox["DE", "2"], "+", + SuperscriptBox["m", "2"]}]], + RowBox[{"(", + RowBox[{ + FormBox[ + FractionBox["DE", + RowBox[{ + TemplateBox[{"\"(\"",SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2],"\"+\"",SuperscriptBox["m", "2"],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], + TraditionalForm], "-", + FormBox[ + StyleBox["p", Bold, StripOnInput -> False], + TraditionalForm]}], TraditionalForm], TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{"DE", "-", + SqrtBox[ + SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2]]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], + TraditionalForm], "-", + FormBox[ + StyleBox["p", Bold, StripOnInput -> False], + TraditionalForm]}], TraditionalForm], TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + SqrtBox[ + SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", + StripOnInput->False, + FontWeight->Bold], + TraditionalForm], + TraditionalForm], "2"]], + RowBox[{ + TemplateBox[{"\"(\"",SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2],"\"+\"",SuperscriptBox["m", "2"],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], + TraditionalForm], "-", + FormBox[ + StyleBox["p", Bold, StripOnInput -> False], + TraditionalForm]}], TraditionalForm], TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], + TraditionalForm]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[7]="] +}, Open ]], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "int", "]"}]], "Input", + CellLabel->"In[8]:="] }, Open ]] }, Open ]], @@ -486,13 +700,13 @@ Cell[BoxData[ }, Open ]] }, WindowSize->{700, 741}, -WindowMargins->{{296, Automatic}, {0, Automatic}}, +WindowMargins->{{Automatic, 895}, {Automatic, 280}}, Visible->True, PrivateNotebookOptions->{"FileOutlineCache"->False}, CreateCellID->False, CellContext->"Global`", TrackCellChangeTimes->False, -FrontEndVersion->"10.3 for Linux x86 (64-bit) (December 10, 2015)", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions->FrontEnd`FileName[{"Wolfram"}, "FunctionPageStyles.nb", CharacterEncoding -> "UTF-8"] ] diff --git a/FeynCalc/LoopIntegrals/Apart.m b/FeynCalc/LoopIntegrals/Apart.m index 73857cf79..f9f143561 100755 --- a/FeynCalc/LoopIntegrals/Apart.m +++ b/FeynCalc/LoopIntegrals/Apart.m @@ -20,14 +20,20 @@ but it fixes a Mathematica bug."; Apart2::usage = -"Apart2[expr] partial fractions very simple 1-loop integrals " <> ToString[ -Hyperlink[Style["\[RightSkeleton]", "SR"], "paclet:FeynCalc/ref/Apart2"], -StandardForm] +"Apart2[expr] partial fractions simple propagators of the form \ +1/[(q^2-m1^2)(q^2-m2^2)]."; ApartFF::usage = -"ApartFF[amp,{q1,q2,...}] partial fractions loop integrals " <> ToString[ -Hyperlink[Style["\[RightSkeleton]", "SR"], "paclet:FeynCalc/ref/ApartFF"], -StandardForm] +"ApartFF[amp,{q1,q2,...}] partial fractions loop integrals by decomposing \ +them into simpler integrals that contain only linearly independent propagators. \ +It uses FCApart as a backend and works and is suitable also for multiloop integrals. + +ApartFF[amp*extraPiece1,extraPiece2,{q1,q2,...}] is a special working mode of \ +ApartFF, where the final result of partial fractioning amp*extraPiece1 \ +is multiplied by extraPiece2. It is understood, that extraPiece1*extraPiece2 should \ +be unity, e.g. when extraPiece1 is an FAD, while extraPiece is an SPD inverse to it. \ +This mode should be useful for nonstandard integrals where the desired partial fraction +decomposition can be performed only after multiplying amp with extraPiece1." Apart3::usage = "Apart3[expr, x] is equivalent to Map2[Factor2, Collect2[Apart1[expr,x],x]]."; @@ -47,20 +53,9 @@ Begin["`Apart`Private`"] affVerbose::usage=""; - -Apart1[expr_, x_] := - Block[ {i}, - If[ FreeQ[expr, Complex], - Apart[expr,x], - Apart[expr /. Complex[0,a_] :> i a, x] /. i->I - ] - ]; - -Options[Apart2]= { - Factoring->True, - ExcludeMasses->{} -}; - +optExcludeMasses::usage=""; +optSqrt::usage=""; +factFun::usage=""; (* FeynAmpDenominator is an internal option to make ApartFF behave like SPC, i.e. block partial fractioning on loop integrals that don't contain scalar products *) @@ -83,27 +78,69 @@ TimeConstrained -> 3 }; -Apart2[y_, OptionsPattern[]] := - Block[{factoring,factFun,exclM}, - factoring = OptionValue[Factoring]; - exclM = OptionValue[ExcludeMasses]; +Options[Apart2]= { + Factoring -> True, + FCE -> False, + FCI -> False, + ExcludeMasses -> {}, + Sqrt -> True +}; - If[factoring, - factFun=Factor2, - factFun=Identity, - factFun=factoring +Apart1[expr_, x_] := + Block[ {i}, + If[ FreeQ[expr, Complex], + Apart[expr,x], + Apart[expr /. Complex[0,a_] :> i a, x] /. i->I + ] ]; - feynampdenpartfrac[a___, PropagatorDenominator[qpe1_, m1_], b___, - PropagatorDenominator[qpe1_, m2_], c___] := - factFun[(1/(m1^2 - m2^2) * - (FeynAmpDenominator[a, PropagatorDenominator[qpe1, m1], b, c] - - FeynAmpDenominator[a, b, PropagatorDenominator[qpe1, m2], c]))] /; - (m1 =!= m2) && FreeQ2[{m1,m2},exclM]; +Apart2[expr_, OptionsPattern[]] := + Block[{ex, res, optFactoring, factFun, exclM}, + + optFactoring = OptionValue[Factoring]; + optExcludeMasses = OptionValue[ExcludeMasses]; + optSqrt = OptionValue[Sqrt]; + + If[ OptionValue[FCI], + ex = expr, + ex = FCI[expr] + ]; + + If[ optFactoring, + factFun = Factor2, + factFun = Identity, + factFun = optFactoring + ]; + + res = ex//. FeynAmpDenominator -> feynampdenpartfrac /. + feynampdenpartfrac -> FeynAmpDenominator; - (FeynCalcInternal[y] //. FeynAmpDenominator -> feynampdenpartfrac) /. - feynampdenpartfrac -> FeynAmpDenominator + If[ OptionValue[FCE], + res = FCE[res] + ]; + + res ]; + + +feynampdenpartfrac[a___, PropagatorDenominator[qpe1_, m1_], b___, PropagatorDenominator[qpe1_, m2_], c___] := + factFun[1/(m1^2 - m2^2) * ( + FeynAmpDenominator[a, PropagatorDenominator[qpe1, m1], b, c] - + FeynAmpDenominator[a, b, PropagatorDenominator[qpe1, m2], c] + )] /; (m1 =!= m2) && FreeQ2[{m1,m2},optExcludeMasses]; + +feynampdenpartfrac[a___, cpd : CartesianPropagatorDenominator[mom_CartesianMomentum, 0, mm_ : 0, {1, _}], b___, + gpd : GenericPropagatorDenominator[(c1_ :0) + (c2_. Sqrt[CartesianPair[mom_CartesianMomentum, mom_CartesianMomentum]]), {1, _}], c___] := + factFun[(c1 - c2 Sqrt[CartesianPair[mom, mom]])/(c1^2 + c2^2 mm) FeynAmpDenominator[a, b, cpd, c] + + c2^2/(c1^2 + c2^2 mm) FeynAmpDenominator[a, gpd, b, c] + ]/; optSqrt; + +feynampdenpartfrac[a___, gpd : GenericPropagatorDenominator[(c1_ :0) + (c2_. Sqrt[CartesianPair[mom_CartesianMomentum, mom_CartesianMomentum]]), {1, _}], b___, + cpd : CartesianPropagatorDenominator[mom_CartesianMomentum, 0, mm_ : 0, {1, _}], c___] := + factFun[(c1 - c2 Sqrt[CartesianPair[mom, mom]])/(c1^2 + c2^2 mm) FeynAmpDenominator[a, cpd, b, c] + + c2^2/(c1^2 + c2^2 mm) FeynAmpDenominator[a, b, gpd, c] + ]/; optSqrt; + Apart3[expr_, x_] := Map2[Factor2, Collect2[Apart1[expr,x],x]]; diff --git a/FeynCalc/LoopIntegrals/FCApart.m b/FeynCalc/LoopIntegrals/FCApart.m index 615522a7a..c0557f2dc 100755 --- a/FeynCalc/LoopIntegrals/FCApart.m +++ b/FeynCalc/LoopIntegrals/FCApart.m @@ -61,10 +61,19 @@ TimeConstrained -> 3 }; -FCApart[expr_, lmoms_List, OptionsPattern[]] := +FCApart[expr_, lmoms_List, opts:OptionsPattern[]] := + FCApart[expr, 1, lmoms, opts]; + +FCApart[expr_, extraPiece_, lmoms_List, OptionsPattern[]] := Block[{ex,vectorSet,res,check, scalarTerm, vectorTerm=1, pref=1, tmp, scaleless1=0,scaleless2=0,time, optFactoring, optTimeConstrained, - rd, dt, extraTensors}, + rd, dt, extraTensors, optFDS, optDropScaleless}, + + optFDS = OptionValue[FDS]; + optDropScaleless = OptionValue[DropScaleless]; + counter = OptionValue[MaxIterations]; + optFactoring = OptionValue[Factoring]; + optTimeConstrained = OptionValue[TimeConstrained]; If [OptionValue[FCVerbose]===False, fcaVerbose=$VeryVerbose, @@ -78,11 +87,21 @@ ex = expr ]; - counter = OptionValue[MaxIterations]; - optFactoring = OptionValue[Factoring]; - optTimeConstrained = OptionValue[TimeConstrained]; - FCPrint[3,"FCApart: Entering with ", ex, FCDoControl->fcaVerbose]; + FCPrint[3,"FCApart: Entering with: ", ex, FCDoControl->fcaVerbose]; + FCPrint[3,"FCApart: Extra piece: ", extraPiece, FCDoControl->fcaVerbose]; + + (* + The usage of extraPiece indicates that ApartFF/FCApart operates only on a part of the full + loop integral. Therefore, we are not allowed to discard seemingly scaleless integrals + or perform shifts in loop momenta. All this should be done in a second run of ApartFF/FCApart + without an extraPiece. + *) + If[ extraPiece =!= 1, + FCPrint[1,"FCApart: extraPiece=!=1, disabling FDS and DropScaleless.", FCDoControl->fcaVerbose]; + optFDS = False; + optDropScaleless = False; + ]; If[ !MatchQ[ExpandAll[ex], _. FeynAmpDenominator[y__] /; ! FreeQ2[{y}, lmoms]] || SelectFree[ExpandAll[ex],Sequence@@lmoms]=!=1, @@ -101,9 +120,9 @@ (* We need to cancel things like p.q/(p.q+i Eta) before invoking FCLoopBasis functions! *) - If[!FreeQ2[ex, {StandardPropagatorDenominator, CartesianPropagatorDenominator}], + If[!FreeQ2[ex, {StandardPropagatorDenominator, CartesianPropagatorDenominator, GenericPropagatorDenominator}], ex = cancelSP[ex]; - ex = ex /. fadHold[r___, (h: StandardPropagatorDenominator|CartesianPropagatorDenominator)[a__, {n_, s_}], t___]/;n<0 :> + ex = ex /. fadHold[r___, (h: StandardPropagatorDenominator|CartesianPropagatorDenominator|GenericPropagatorDenominator)[a__, {n_, s_}], t___]/;n<0 :> fadHold[r,t] FeynAmpDenominatorExplicit[FeynAmpDenominator[h[a, {n, s}]],FCI->True, ExpandScalarProduct->OptionValue[ExpandScalarProduct]]; ex = ex /. fadHold[] -> 1 /. fadHold-> FeynAmpDenominator; FCPrint[3,"FCApart: After the initial cancelling of scalar products ", ex, FCDoControl->fcaVerbose] @@ -113,7 +132,7 @@ However, this might also mess up the signs of the propagators in the already fixed topology, so if FDS is set to False, this simplification should not be done as well! *) - If[ OptionValue[FDS], + If[ optFDS, ex = ex /. FeynAmpDenominator -> FeynCalc`Package`feynsimp[lmoms] ]; @@ -121,6 +140,12 @@ If [ FreeQ2[ex,lmoms], FCPrint[3,"FCApart: The intermediate expression contains no loop integrals ", ex, FCDoControl->fcaVerbose]; + If[ optDropScaleless, + Return[0] + ]; + + ex = ex*extraPiece; + If[ OptionValue[FCE], ex = FCE[ex] ]; @@ -145,10 +170,29 @@ ], scalarTerm = ex ]; + + vectorTerm = extraPiece*vectorTerm; + FCPrint[3,"FCApart: Vector term ", vectorTerm, FCDoControl->fcaVerbose]; FCPrint[3,"FCApart: Scalar term ", scalarTerm, FCDoControl->fcaVerbose]; + + If[FreeQ[scalarTerm,FeynAmpDenominator], + + If[ optDropScaleless, + scalarTerm = 0 + ]; + + ex = vectorTerm scalarTerm; + + If[ OptionValue[FCE], + ex = FCE[ex] + ]; + + Return[ex] + ]; + (* If the integral can't be partial fractioned any further, then we have nothing to do here *) If[ !FCLoopBasisOverdeterminedQ[scalarTerm,lmoms, SetDimensions->OptionValue[SetDimensions], FCI->True], FCPrint[3,"FCApart: No furher partial fractioning is possible in ", ex, FCDoControl->fcaVerbose]; @@ -157,6 +201,8 @@ ex = FCE[ex] ]; + ex = ex*extraPiece; + Return[ex]; ]; @@ -176,7 +222,7 @@ (* Otherwise, we need to first obtain the list of polynomials that appear in the integral plus their vector representation. *) - + FCPrint[3,"FCApart: Final scalar term ", scalarTerm, FCDoControl->fcaVerbose]; vectorSet= FCLoopBasisExtract[scalarTerm, lmoms, SetDimensions->OptionValue[SetDimensions]]; @@ -206,6 +252,9 @@ res = FCLoopRemoveNegativePropagatorPowers[res,FCI->True,FCLoopPropagatorPowersCombine -> False]; + + + If [OptionValue[Collecting], res = Collect2[res, Join[{FeynAmpDenominator},lmoms], Factoring->optFactoring, TimeConstrained->optTimeConstrained] ]; @@ -213,17 +262,17 @@ FCPrint[3,"FCApart: Preliminary result converted back to FeynCalc notation ", res, FCDoControl->fcaVerbose]; - (* Check that the sum of the resulting integrals brought to the commond denominator + (* Check that the sum of the resulting integrals brought to the common denominator is identical to the original integral *) If [OptionValue[Check], - If[ check=Together[FeynAmpDenominatorExplicit[ex] - Together[FeynAmpDenominatorExplicit[res]]]; check=!=0, + If[ check=Together[FeynAmpDenominatorExplicit[ex*extraPiece] - Together[FeynAmpDenominatorExplicit[res]]]; check=!=0, Message[FCApart::checkfail,ToString[ex,InputForm]]; FCPrint[0, StandardForm[check]]; Abort[] ] ]; - If [OptionValue[FDS], + If[ optFDS, res = FDS[res, Sequence@@lmoms]; If [OptionValue[Collecting], res = Collect2[res, Join[{FeynAmpDenominator},lmoms], Factoring->optFactoring, TimeConstrained->optTimeConstrained] @@ -232,7 +281,7 @@ FCPrint[3,"FCApart: Preliminary result after FDS ", res, FCDoControl->fcaVerbose]; - If [OptionValue[DropScaleless], + If[ optDropScaleless, FCPrint[1,"FCApart: Dropping integrals that are scaleless in DR", res, FCDoControl->fcaVerbose]; tmp = res; {scaleless1,res} = FCSplit[res,lmoms]; @@ -440,7 +489,11 @@ fadHold[r1, CartesianPropagatorDenominator[0, b, 0, {n - 1, s}], r2], Power[b_CartesianPair,m_] fadHold[r1___, CartesianPropagatorDenominator[0, b_CartesianPair, 0, {n_, s_}],r2___] :> - fadHold[r1, CartesianPropagatorDenominator[0, b, 0, {n - m, s}], r2] + fadHold[r1, CartesianPropagatorDenominator[0, b, 0, {n - m, s}], r2], + + Power[b_CartesianPair,m1_.] fadHold[r1___, GenericPropagatorDenominator[Power[b_CartesianPair,m2_], {n_, s_}],r2___] :> + fadHold[r1, CartesianPropagatorDenominator[0, b^m2, 0, {n - m1/m2, s}], r2] + }] /. fadHold[r1___, (StandardPropagatorDenominator|CartesianPropagatorDenominator)[__, {0, _}], r2___] :> fadHold[r1,r2]; diff --git a/FeynCalc/LoopIntegrals/FCLoopSplit.m b/FeynCalc/LoopIntegrals/FCLoopSplit.m index 68edae1c0..755d46023 100755 --- a/FeynCalc/LoopIntegrals/FCLoopSplit.m +++ b/FeynCalc/LoopIntegrals/FCLoopSplit.m @@ -19,12 +19,12 @@ FCLoopSplit::usage = "FCLoopSplit[exp,{q1,q2,...}] separates exp \ into following four pieces: \n -1) terms that are free of loop integrals \ -2) terms with scalar loop integrals \ -3) terms with tensor loop integrals, where all loop momenta \ - are contracted \ -4) terms with tensor loop integrals, where at least some \ - loop momenta have free indices \ +1) terms that are free of loop integrals \n +2) terms with scalar loop integrals \n +3) terms with tensor loop integrals, where all loop momenta \ +are contracted \n +4) terms with tensor loop integrals, where at least some \ +loop momenta have free indices \n The result is returned as a list with the 4 above elements."; FCLoopSplit::failmsg = diff --git a/Tests/LoopIntegrals/ApartFF.test b/Tests/LoopIntegrals/ApartFF.test index 79f24c343..8ae957329 100644 --- a/Tests/LoopIntegrals/ApartFF.test +++ b/Tests/LoopIntegrals/ApartFF.test @@ -160,5 +160,36 @@ CSPD[p, p] KDD[i, j]))/(4 (-2 + D))"}, "GFAD[{{-x + TC[q], 1}, 1}] SFAD[{{0, p.q}, {x, 1}, 1}] TC[q]"}, {"fcstApartFF-ID36", "ApartFF[TC[q] GFAD[(TC[q] - x)] SFAD[{{0, p.q}, x}], {q}, TemporalMomentum -> True, FCE -> True]", -"x GFAD[{{-x + TC[q], 1}, 1}] SFAD[{{0, p.q}, {x, 1}, 1}]"} +"x GFAD[{{-x + TC[q], 1}, 1}] SFAD[{{0, p.q}, {x, 1}, 1}]"}, +{"fcstApartFF-ID37", "ApartFF[CFAD[{{k - p, 0}, {0, -1}, 1}] CSPD[k, + p] GFAD[{{Sqrt[CSPD[k, k]], 1}, 1}] CFAD[k], CSPD[k], {k}] // +ApartFF[#, {k}] &//FCE", +"-(CFAD[{{k, 0}, {0, -1}, 1}]*Sqrt[CSPD[k, k]])/2 + (CFAD[{{k - p, 0}, {0, -1}, 1}]*Sqrt[CSPD[k, k]])/2 + +(CFAD[{{k, 0}, {0, -1}, 1}, {{k - p, 0}, {0, -1}, 1}]*Sqrt[CSPD[k, k]]*CSPD[p, p])/2"}, +{"fcstApartFF-ID38", +"ApartFF[(SFAD[{{0,k.l}}]FAD[p-k]SPD[k,p])FAD[k],SPD[k],{k}]\ +//ApartFF[#,{k},FCE->True]&", +"(SFAD[{{0, k . l}, {0, 1}, 1}, {{-k + p, 0}, {0, 1}, 1}]*SPD[k, \ +k])/2 + (SFAD[{{0, k . l}, {0, 1}, 1}, {{k - p, 0}, {0, 1}, \ +1}]*SPD[p, p])/2"}, +{"fcstApartFF-ID39", +"ApartFF[(CFAD[p-k]CSPD[k,p])CFAD[k],CSPD[k],{k},FCE->True]", +"-(CFAD[{{k, 0}, {0, -1}, 1}]*CSPD[k, k])/2 + (CFAD[{{-k + p, 0}, \ +{0, -1}, 1}]*CSPD[k, k])/2 + (CFAD[{{k, 0}, {0, -1}, 1}, {{-k + p, \ +0}, {0, -1}, 1}]*CSPD[k, k]*CSPD[p, p])/2"}, +{"fcstApartFF-ID40", +"ApartFF[CFAD[{{k-p,0},{0,-1},1}] CSPD[k,p] GFAD[{{\!\(\*SqrtBox[\ +\(CSPD[k, k]\)]\),1},1}]CFAD[k],CSPD[k],{k}]//ApartFF[#,{k}]&//FCE", +"-(CFAD[{{k, 0}, {0, -1}, 1}]*Sqrt[CSPD[k, k]])/2 + (CFAD[{{k - p, \ +0}, {0, -1}, 1}]*Sqrt[CSPD[k, k]])/2 + (CFAD[{{k, 0}, {0, -1}, 1}, \ +{{k - p, 0}, {0, -1}, 1}]*Sqrt[CSPD[k, k]]*CSPD[p, p])/2"}, +{"fcstApartFF-ID41", +"ApartFF[(x + CFAD[p - k] CSPD[k]) CFAD[k], CSPD[k], {k}, FCE -> True]", +"x CFAD[{{k, 0}, {0, -1}, 1}] CSPD[k, k] + +CFAD[{{-k + p, 0}, {0, -1}, 1}] CSPD[k, k]"}, +{"fcstApartFF-ID42", +"ApartFF[(x + CFAD[p - k] CSPD[k]) CFAD[k], CSPD[k], {k}, +Numerator -> False, FCE -> True]", +"x CFAD[{{k, 0}, {0, -1}, 1}] CSPD[k, k] + +CFAD[{{k, 0}, {0, -1}, 1}, {{-k + p, 0}, {0, -1}, 1}] CSPD[k, k]^2"} }) diff --git a/Tests/LoopIntegrals/FCApart.test b/Tests/LoopIntegrals/FCApart.test index bca967abb..fa830173e 100644 --- a/Tests/LoopIntegrals/FCApart.test +++ b/Tests/LoopIntegrals/FCApart.test @@ -459,5 +459,32 @@ UnDeclareFCTensor[myR1]; \n UnDeclareNonCommutative[myR1]; tmp", CSPD[k, k]) myR1[CartesianMomentum[k]] - 1/2 CFAD[{{P, 0}, {c^2, -1}, 1}] myR1[CartesianMomentum[P]] - 1/2 CFAD[{{P, 0}, {0, -1}, 1}, {{k + P, 0}, {c^2, -1}, 1}] (c^2 - - CSPD[k, k]) myR1[CartesianMomentum[P]]"} + CSPD[k, k]) myR1[CartesianMomentum[P]]"}, +{"fcstFCApart-ID57", +"FCApart[CFAD[{{k-p,0},{0,-1},1}] CSPD[k,p] GFAD[{{\!\(\*SqrtBox[\ +\(CSPD[k, k]\)]\),1},1}]CFAD[k],CSPD[k],{k},FCE\[Rule]True]", +"-(CFAD[{{k, 0}, {0, -1}, 1}]*CSPD[k, k]*GFAD[{{Sqrt[CSPD[k, k]], \ +1}, 1}])/2 + (CFAD[{{k - p, 0}, {0, -1}, 1}]*CSPD[k, \ +k]*GFAD[{{Sqrt[CSPD[k, k]], 1}, 1}])/2 + (CFAD[{{k, 0}, {0, -1}, 1}, \ +{{k - p, 0}, {0, -1}, 1}]*CSPD[k, k]*CSPD[p, p]*GFAD[{{Sqrt[CSPD[k, \ +k]], 1}, 1}])/2"}, +{"fcstFCApart-ID58", +"FCApart[SPD[k]^2SFAD[{{0,k.k}}],{k},DropScaleless\[Rule]False]", +"Pair[Momentum[k, D], Momentum[k, D]]"}, +{"fcstFCApart-ID59", +"FCApart[Sqrt[CSPD[k]]^3GFAD[Sqrt[CSPD[k]]],{k}]", "0"}, +{"fcstFCApart-ID60", +"FCApart[Sqrt[CSPD[k]]^3GFAD[Sqrt[CSPD[k]]],{k},DropScaleless\ +\[Rule]False]", +"CartesianPair[CartesianMomentum[k, -1 + D], CartesianMomentum[k, \ +-1 + D]]"}, +{"fcstFCApart-ID61", +"FCApart[Sqrt[CSPD[k]]^2GFAD[Sqrt[CSPD[k]]]CFAD[p-k],{k}]", +"Sqrt[CartesianPair[CartesianMomentum[k, -1 + D], \ +CartesianMomentum[k, -1 + \ +D]]]*FeynAmpDenominator[CartesianPropagatorDenominator[\ +CartesianMomentum[k, -1 + D] - CartesianMomentum[p, -1 + D], 0, 0, \ +{1, -1}]]"}, +{"fcstFCApart-ID62", +"FCApart[Sqrt[CSPD[k]]^2GFAD[Sqrt[CSPD[k]]],{k}]", "0"} }) From c84d09fa622a9a22c3e5d2a62744b8bea461556d Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Fri, 1 May 2020 15:29:54 +0200 Subject: [PATCH 55/86] Improved Apart2 to partial fraction Cartesian propagators with square roots. --- .../English/ReferencePages/Symbols/ApartFF.nb | 1049 ++++++++++++++++- FeynCalc/LoopIntegrals/Apart.m | 36 +- Tests/LoopIntegrals/Apart2.test | 29 +- 3 files changed, 1096 insertions(+), 18 deletions(-) diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/ApartFF.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/ApartFF.nb index 949606d92..e108ac3b4 100644 --- a/FeynCalc/DocSource/English/ReferencePages/Symbols/ApartFF.nb +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/ApartFF.nb @@ -124,9 +124,7 @@ Cell[TextData[{ "InlineFormula"], " \[LineSeparator]partial fractions loop integrals by decomposing them into \ simpler integrals that contain only linearly independent propagators. It uses \ -FCApart as a backend and works and is suitable also for multiloop integrals. \ -ApartFF effectively replaces the older function Apart2 and \ -ScalarProductCancel which are now considered legacy." +FCApart as a backend and works and is suitable also for multiloop integrals." }], "Usage", CellID->982511436], @@ -137,18 +135,34 @@ Cell[TextData[{ " as the backend for partial fractioning. The latter implements an algorithm \ which is very much based on the work and code of F. Feng (arXiv:1204.2314) \ that seems\tto employ a variety Leinartas's algorithm (see arXiv:1206.4740 \ -for its description). Unlike Feng's\t$Apart that works on general \ -multivariate polynomials,\t\t\t\t", +for its description). Unlike Feng's $Apart that works on general multivariate \ +polynomials,\t ", StyleBox["FCApart", "Input"], " is tailored to work only with FeynCalc's ", StyleBox["FeynAmpDenominator", "Input"], " and ", StyleBox["Pair", "Input"], - " objects, i.e. it is less general. For the original $Apart see ", - "https://github.com/F-Feng/APart" + " objects, i.e. it is less general. For the original $Apart see \ +https://github.com/F-Feng/APart" }], "Notes", CellID->610107001], +Cell[TextData[{ + Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{ + RowBox[{"amp", "*", "extraPiece1"}], ",", " ", "extraPiece2", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2", ",", "..."}], "}"}]}], "]"}]], + "InlineFormula"], + " is a special working mode of ApartFF, where the final result of partial \ +fractioning amp*extraPiece1 is multiplied by extraPiece2. It is understood, \ +that extraPiece1*extraPiece2 should be unity, e.g. when extraPiece1 is an \ +FAD, while extraPiece is an SPD inverse to it. This mode should be useful for \ +nonstandard integrals where the desired partial fraction decomposition can be \ +performed only after multiplying amp with extraPiece1" +}], "Notes"], + Cell[CellGroupData[{ Cell[BoxData[ @@ -3342,6 +3356,1023 @@ Cell[BoxData[ TraditionalForm]}], TraditionalForm]], "Output", CellLabel->"Out[38]="] }, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + +Cell[TextData[{ + "If the partial fractioning should be performed only w. r. t. the \ +denominators but not numerators, use ", + Cell[BoxData[ + RowBox[{"Numerator", "\[Rule]", "False"}]], "InlineFormula"] +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"k", ",", + RowBox[{"p", "-", "k"}], ",", + RowBox[{"{", + RowBox[{"k", ",", "m"}], "}"}]}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"p", ",", "k"}], "]"}]}]}]], "Input", + CellLabel->"In[9]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["k", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k + $CellContext`p, D], + FeynCalc`Momentum[-$CellContext`k + $CellContext`p, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[9]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}]}], "]"}]], "Input", + CellLabel->"In[10]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox["1", + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[10]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}], ",", + RowBox[{"Numerator", "\[Rule]", "False"}]}], "]"}]], "Input", + CellLabel->"In[11]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[11]="] +}, Open ]], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "int", "]"}]], "Input"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + +Cell[TextData[{ + "Using ", + Cell[BoxData[ + RowBox[{"FeynAmpDenominator", "\[Rule]", "False"}]], "InlineFormula"], + " we can specify that integrals without numerators should not be partial \ +fractioned" +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"k", ",", + RowBox[{"p", "-", "k"}], ",", + RowBox[{"{", + RowBox[{"k", ",", "m"}], "}"}]}], "]"}], + RowBox[{"(", + RowBox[{ + RowBox[{"SPD", "[", "q", "]"}], "+", + RowBox[{"SPD", "[", + RowBox[{"p", ",", "k"}], "]"}]}], ")"}]}]}]], "Input", + CellLabel->"In[5]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["k", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k + $CellContext`p, D], + FeynCalc`Momentum[-$CellContext`k + $CellContext`p, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[5]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}]}], "]"}]], "Input", + CellLabel->"In[6]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}]}], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox["1", + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}]}], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[6]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}], ",", + RowBox[{"FeynAmpDenominator", "\[Rule]", "False"}]}], "]"}]], "Input", + CellLabel->"In[7]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["k", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k, D] + + FeynCalc`Momentum[$CellContext`p, D], - + FeynCalc`Momentum[$CellContext`k, D] + + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox["1", + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[7]="] +}, Open ]], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "int", "]"}]], "Input", + CellLabel->"In[8]:="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + +Cell["\<\ +The extraPiece-trick is useful for cases where a direct partial fractioning \ +is not possible\ +\>", "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{"(", + RowBox[{ + RowBox[{"SFAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"k", ".", "l"}]}], "}"}], "}"}], ",", + RowBox[{"p", "-", "k"}]}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"k", ",", "p"}], "]"}]}], ")"}]}]], "Input", + CellLabel->"In[13]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{ + FormBox[ + FormBox["k", TraditionalForm], TraditionalForm], + FormBox["\"\[CenterDot]\"", TraditionalForm], + FormBox[ + FormBox["l", TraditionalForm], TraditionalForm]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", TraditionalForm], "-", + FormBox["k", TraditionalForm]}], TraditionalForm], + TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], TraditionalForm]], "Output", + CellLabel->"Out[13]="] +}, Open ]], + +Cell[TextData[{ + "Here ", + StyleBox["ApartFF", "Input"], + " cannot do anything " +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}]}], "]"}]], "Input", + CellLabel->"In[14]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{ + FormBox[ + FormBox["k", TraditionalForm], TraditionalForm], + FormBox["\"\[CenterDot]\"", TraditionalForm], + FormBox[ + FormBox["l", TraditionalForm], TraditionalForm]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", TraditionalForm], "-", + FormBox["k", TraditionalForm]}], TraditionalForm], + TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], TraditionalForm]], "Output", + CellLabel->"Out[14]="] +}, Open ]], + +Cell["\<\ +Multiplying the integral with unity FAD[k]*SPD[k] we can cast into a more \ +desirable form\ +\>", "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"ApartFF", "[", + RowBox[{ + RowBox[{"int", " ", + RowBox[{"FAD", "[", "k", "]"}]}], ",", + RowBox[{"SPD", "[", "k", "]"}], ",", + RowBox[{"{", "k", "}"}]}], "]"}], "//", + RowBox[{ + RowBox[{"ApartFF", "[", + RowBox[{"#", ",", + RowBox[{"{", "k", "}"}]}], "]"}], "&"}]}]], "Input", + CellLabel->"In[15]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{"2", " ", + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{ + FormBox[ + FormBox["k", TraditionalForm], TraditionalForm], + FormBox["\"\[CenterDot]\"", TraditionalForm], + FormBox[ + FormBox["l", TraditionalForm], TraditionalForm]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", TraditionalForm], "-", + FormBox["k", TraditionalForm]}], TraditionalForm], + TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{"2", " ", + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{ + FormBox[ + FormBox["k", TraditionalForm], TraditionalForm], + FormBox["\"\[CenterDot]\"", TraditionalForm], + FormBox[ + FormBox["l", TraditionalForm], TraditionalForm]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", TraditionalForm], "-", + FormBox["p", TraditionalForm]}], TraditionalForm], + TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[15]="] +}, Open ]], + +Cell[TextData[{ + "We need a second call to ", + StyleBox["ApartFF", "Input"], + " since the first execution doesn't drop scaleless integrals or perform any \ +shifts in the denominators." +}], "Notes"], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "int", "]"}]], "Input", + CellLabel->"In[16]:="] }, Open ]] }, Open ]], @@ -3406,12 +4437,12 @@ Cell[BoxData[ }, Open ]] }, WindowSize->{700, 740}, -WindowMargins->{{793, Automatic}, {Automatic, 241}}, +WindowMargins->{{376, Automatic}, {Automatic, 39}}, PrivateNotebookOptions->{"FileOutlineCache"->False}, CreateCellID->False, CellContext->"Global`", TrackCellChangeTimes->False, -FrontEndVersion->"10.3 for Linux x86 (64-bit) (December 10, 2015)", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions->FrontEnd`FileName[{"Wolfram"}, "FunctionPageStyles.nb", CharacterEncoding -> "UTF-8"] ] diff --git a/FeynCalc/LoopIntegrals/Apart.m b/FeynCalc/LoopIntegrals/Apart.m index f9f143561..16dddd71d 100755 --- a/FeynCalc/LoopIntegrals/Apart.m +++ b/FeynCalc/LoopIntegrals/Apart.m @@ -144,12 +144,18 @@ Apart3[expr_, x_] := Map2[Factor2, Collect2[Apart1[expr,x],x]]; -ApartFF[int_, lmoms_List , OptionsPattern[]]:= +ApartFF[int_, lmoms_List , opts:OptionsPattern[]]:= + ApartFF[int, 1, lmoms , opts]; + + +ApartFF[int_, extraPiece_, lmoms_List , OptionsPattern[]]:= Block[{ exp,tmp,loopHead,null1,null2,res,rest, loopInts,intsUnique,solsList,repRule, time, - optCollecting, tcRepList}, + optCollecting, tcRepList, optFDS, optDropScaleless}, - optCollecting = OptionValue[Collecting]; + optCollecting = OptionValue[Collecting]; + optFDS = OptionValue[FDS]; + optDropScaleless = OptionValue[DropScaleless]; If [OptionValue[FCVerbose]===False, affVerbose=$VeryVerbose, @@ -172,6 +178,20 @@ FCPrint[3, "ApartFF: Loop momenta are ", lmoms, FCDoControl->affVerbose]; + (* + The usage of extraPiece indicates that ApartFF/FCApart operates only on a part of the full + loop integral. Therefore, we are not allowed to discard seemingly scaleless integrals + or perform shifts in loop momenta. All this should be done in a second run of ApartFF/FCApart + without an extraPiece. + *) + If[ extraPiece =!= 1, + FCPrint[1,"ApartFF: extraPiece=!=1, disabling FDS and DropScaleless.", FCDoControl->affVerbose]; + optFDS = False; + optDropScaleless = False; + ]; + + + (* By default we will not do partial fractioning w.r.t the temporal loop momenta, since those are not regularized in DR. @@ -197,10 +217,10 @@ If[ OptionValue[FeynAmpDenominator], rest = tmp[[1]]; - loopInts = FCLoopIsolate[Plus@@tmp[[2;;4]], lmoms, FCI->True, Head->loopHead, DropScaleless->True, PaVe->False, Numerator->OptionValue[Numerator]], - + loopInts = FCLoopIsolate[Plus@@tmp[[2;;4]], lmoms, FCI->True, Head->loopHead, DropScaleless->optDropScaleless, PaVe->False, Numerator->OptionValue[Numerator]], + (*FDS->False means that pure denominator integrals are omitted*) rest = tmp[[1]]+tmp[[2]]; - loopInts = FCLoopIsolate[Plus@@tmp[[3;;4]], lmoms, FCI->True, Head->loopHead, DropScaleless->True, PaVe->False, Numerator->OptionValue[Numerator]] + loopInts = FCLoopIsolate[Plus@@tmp[[3;;4]], lmoms, FCI->True, Head->loopHead, DropScaleless->optDropScaleless, PaVe->False, Numerator->OptionValue[Numerator]] ]; @@ -219,7 +239,7 @@ solsList = MapIndexed[ (If[ OptionValue[FCProgressBar], FCProgressBar["ApartFF: Processing integral ",First[#2],Length[intsUnique]] ]; - FCApart[#1,lmoms,FCI->True,FDS->OptionValue[FDS],DropScaleless->OptionValue[DropScaleless], + FCApart[#1, extraPiece, lmoms, FCI->True, FDS->optFDS, DropScaleless->optDropScaleless, MaxIterations->OptionValue[MaxIterations],SetDimensions->OptionValue[SetDimensions]])&,(intsUnique/.loopHead->Identity)]; FCPrint[1, "ApartFF: Done applying FCApart, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->affVerbose]; @@ -237,7 +257,7 @@ time=AbsoluteTime[]; FCPrint[1, "ApartFF: Inserting simplified integrals back into the original expression.", FCDoControl->affVerbose]; - res = FeynAmpDenominatorCombine[rest + (loopInts/.repRule)]; + res = FeynAmpDenominatorCombine[rest*extraPiece + (loopInts/.repRule)]; FCPrint[1, "ApartFF: Done inserting simplified integrals, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->affVerbose]; diff --git a/Tests/LoopIntegrals/Apart2.test b/Tests/LoopIntegrals/Apart2.test index e6c2aec3d..dfb1ef7f6 100644 --- a/Tests/LoopIntegrals/Apart2.test +++ b/Tests/LoopIntegrals/Apart2.test @@ -40,5 +40,32 @@ Tests`LoopIntegrals`fcstApart2 = { {"fcstApart2-ID5","Apart2[FAD[k, {k, m1 + m2}, {k, m3 + m4}],Factoring->False]// FCE", "-((-((FAD[k] - FAD[{k, m3 + m4}])/(m3 + m4)^2) - ( FAD[{k, m1 + m2}] - FAD[{k, m3 + m4}])/((m1 + m2)^2 - (m3 + m4)^2))/ - (m1 + m2)^2)"} + (m1 + m2)^2)"}, +{"fcstApart-ID6", +"Apart2[FeynAmpDenominator[CartesianPropagatorDenominator[\ +CartesianMomentum[k,-1+D],0,0,{1,-1}],CartesianPropagatorDenominator[\ +CartesianMomentum[k,-1+D]-CartesianMomentum[p,-1+D],0,0,{1,-1}],\ +GenericPropagatorDenominator[DE-\!\(\*SqrtBox[\(CartesianPair[\ +CartesianMomentum[k, \(-1\) + D], CartesianMomentum[k, \(-1\) + \ +D]]\)]\),{1,1}]],FCE\[Rule]True]", +"(DE*CFAD[{{k - p, 0}, {0, -1}, 1}, {{k, 0}, {0, -1}, 1}] + \ +CFAD[{{k - p, 0}, {0, -1}, 1}, {{k, 0}, {0, -1}, 1}]*Sqrt[CSPD[k, k]] \ ++ CFAD[{{k - p, 0}, {0, -1}, 1}]*GFAD[{{DE - Sqrt[CSPD[k, k]], 1}, \ +1}])/DE^2"}, +{"fcstApart-ID7", +"Apart2[CFAD[{{k,0},{0,-1},1},{{k-p,0},{0,-1},1}]GFAD[{{DE-\!\(\*\ +SqrtBox[\(CSPD[k, \ +k]\)]\),1},1}]//FeynAmpDenominatorCombine,FCE\[Rule]True]", +"(DE*CFAD[{{k, 0}, {0, -1}, 1}, {{k - p, 0}, {0, -1}, 1}] + \ +CFAD[{{k, 0}, {0, -1}, 1}, {{k - p, 0}, {0, -1}, 1}]*Sqrt[CSPD[k, k]] \ ++ CFAD[{{k - p, 0}, {0, -1}, 1}]*GFAD[{{DE - Sqrt[CSPD[k, k]], 1}, \ +1}])/DE^2"}, +{"fcstApart-ID8", +"Apart2[CFAD[{{k,0},{+m^2,-1},1},{{k-p,0},{0,-1},1}]GFAD[{{DE-\!\(\ +\*SqrtBox[\(CSPD[k, k]\)]\),1},1}]//FeynAmpDenominatorCombine,FCE\ +\[Rule]True]", +"(DE*CFAD[{{k, 0}, {m^2, -1}, 1}, {{k - p, 0}, {0, -1}, 1}] + \ +CFAD[{{k, 0}, {m^2, -1}, 1}, {{k - p, 0}, {0, -1}, 1}]*Sqrt[CSPD[k, \ +k]] + CFAD[{{k - p, 0}, {0, -1}, 1}]*GFAD[{{DE - Sqrt[CSPD[k, k]], \ +1}, 1}])/(DE^2 + m^2)"} }; From a71398aa3170d7a206af0f459a1002c77b75d71d Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Sat, 2 May 2020 14:18:50 +0200 Subject: [PATCH 56/86] FCAttachTypesettingRule and FCRemoveTypesettingRules for attaching/removing custom TraditionalForm typesetting rules to arbitrary symbols. --- FeynCalc/Shared/SharedTools.m | 37 ++++++++++++++++++++++ Tests/Shared/Shared.mt | 10 +++++- Tests/Shared/SharedObjectsTypesetting.test | 20 +++++++++++- 3 files changed, 65 insertions(+), 2 deletions(-) diff --git a/FeynCalc/Shared/SharedTools.m b/FeynCalc/Shared/SharedTools.m index 272eff82b..a0935e370 100644 --- a/FeynCalc/Shared/SharedTools.m +++ b/FeynCalc/Shared/SharedTools.m @@ -46,6 +46,16 @@ "FCAntiSymmetrize[expr, {a1, a2, ...}] antisymmetrizes expr with respect \ to the variables a1, a2, ... "; +FCAttachTypesettingRule::usage= +"FCAttachTypesettingRules[expr, ...] attaches a specific TraditionalForm \ +typesetting rule to expr. It doesn't change any properties of expr apart \ +from adding a FormatValue with a MakeBoxes rule. Following choices are possible \n +FCAttachTypesettingRule[expr_, str] +FCAttachTypesettingRules[expr, {SubscriptBox, var, sub}] +FCAttachTypesettingRules[expr, {SuperscriptBox, var, sup}] +FCAttachTypesettingRules[expr, {SubsuperscriptBox, var, sub, sup}]\n +Use FCRemoveTypesettingRules to remove all typesetting rules attached to expr."; + FCCheckVersion::usage= "FCCheckVersion[major,minor,build] checks if the current version of FeynCalc \ is larger or equal than marjor.minor.build. For example, FCCheckVersion[9,3,0] \ @@ -100,6 +110,10 @@ will generate a warning (when running with the frontend) or quit kernel (when \ of the given function, there might also be unknown side effects. The function is \ not meant to be invoked by the normal users. "; +FCRemoveTypesettingRules::usage = +"FCRemoveTypesettingRules[expr] removes all typesetting rules attached to expr. +Effectively it sets the FormatValues of expr to an empty list."; + FCReplaceAll::usage= "FCReplaceAll[exp, ru1, ...] is like ReplaceAll, but it also allows to apply multiple \ replacement rules sequentially. Instead of doing exp /. ru1 /. ru2 /. ru3 one can just \ @@ -410,6 +424,21 @@ an integer (even if it is symbolic). Furthermore \ # ] &, expr]; +FCAttachTypesettingRule[expr_, {SubscriptBox, var_, sub_}] := + expr /: MakeBoxes[expr, TraditionalForm] := + SubscriptBox[ToString[var], ToString[sub]]; + +FCAttachTypesettingRule[expr_, {SuperscriptBox, var_, sup_}] := + expr /: MakeBoxes[expr, TraditionalForm] := + SuperscriptBox[ToString[var], ToString[sup]]; + +FCAttachTypesettingRule[expr_, {SubsuperscriptBox, var_, sub_, sup_}] := + expr /: MakeBoxes[expr, TraditionalForm] := + SubsuperscriptBox[ToString[var], ToString[sub], ToString[sup]]; + +FCAttachTypesettingRule[expr_, obs_String] := + expr /: MakeBoxes[expr, TraditionalForm] := obs; + FCAntiSymmetrize[x_,v_List] := Block[{su}, su[y_, {a__}, {b__}] := y /. Thread[{a} -> {b}]; @@ -566,6 +595,14 @@ an integer (even if it is symbolic). Furthermore \ {free,notfree} ]; +FCRemoveTypesettingRules[expr_List] := + FCRemoveTypesettingRules/@expr; + +FCRemoveTypesettingRules[expr_Symbol] := + (FormatValues[expr] = {};); + +FCRemoveTypesettingRules[fun_[args__]] := + (FormatValues[fun] = SelectFree2[FormatValues[fun],fun[args]];); FCReplaceAll[ex_, ru_] := ReplaceAll[ex, ru]; diff --git a/Tests/Shared/Shared.mt b/Tests/Shared/Shared.mt index 2aa8650aa..7b264bfd1 100644 --- a/Tests/Shared/Shared.mt +++ b/Tests/Shared/Shared.mt @@ -40,9 +40,17 @@ If[ Names["Tests`Shared`fcstSharedObjectsCheckAbort"]=!={}, ]; If[ Names["Tests`Shared`fcstSharedObjectsTypesetting*"]=!={} && $VersionNumber >= 10, + + FCAttachTypesettingRule[im[{"f_em","3P2"}],"Im \!\(\*SubscriptBox[\(f\), \(em\)]\)\!\(\*SuperscriptBox[\"\", \ +3]\)\!\(\*SuperscriptBox[P, 0]\)"]; + FCAttachTypesettingRule[pp1,{SubscriptBox,p,1}]; + FCAttachTypesettingRule[n0,{SubscriptBox,n,0}]; + FCAttachTypesettingRule[m12,{SubsuperscriptBox,m,1,2}]; + tmpTest = Map[test[StringReplace[ToString[(ToExpression[#[[2]]]),InputForm, CharacterEncoding -> "Unicode"]," " ->""],StringReplace[(#[[3]])," " ->""],testID->#[[1]]]&, Join@@(ToExpression/@Names["Tests`Shared`fcstSharedObjectsTypesetting*"])]; - tmpTest = tmpTest /. testID->TestID /. test -> Test + tmpTest = tmpTest /. testID->TestID /. test -> Test; + FCRemoveTypesettingRules[{im[{"f_em","3P2"}], pp1, n0, m12}] ]; If[ Names["Tests`Shared`fcstFCCheckSyntax*"]=!={}, diff --git a/Tests/Shared/SharedObjectsTypesetting.test b/Tests/Shared/SharedObjectsTypesetting.test index 5d3b147d6..da118dba4 100644 --- a/Tests/Shared/SharedObjectsTypesetting.test +++ b/Tests/Shared/SharedObjectsTypesetting.test @@ -1,4 +1,4 @@ - +s (* :Title: SharedObjectsTypesetting.test *) @@ -11111,3 +11111,21 @@ TraditionalForm], TraditionalForm]}], \"\\\"-\\\"\", RowBox[{\"\ \[ImaginaryI]\", \" \", \"\\\"\[Eta]\\\"\"}], \"\\\")\\\"\"}, \ \"RowDefault\"]], TraditionalForm]"} }); + + +Tests`Shared`fcstSharedObjectsTypesettingCustomRules = +{ +{"fcstSharedObjectsTypesettingCustomRules-ID1", +"MakeBoxes[im[{\"f_em\",\"3P2\"}],TraditionalForm]", +"\"Im \\!\\(\\*SubscriptBox[\\(f\\), \ +\\(em\\)]\\)\\!\\(\\*SuperscriptBox[\\\"\\\", \ +3]\\)\\!\\(\\*SuperscriptBox[P, 0]\\)\""}, +{"fcstSharedObjectsTypesettingCustomRules-ID2", +"MakeBoxes[pp1,TraditionalForm]", "SubscriptBox[\"p\", \"1\"]"}, +{"fcstSharedObjectsTypesettingCustomRules-ID3", +"MakeBoxes[n0,TraditionalForm]", "SubscriptBox[\"n\", \"0\"]"}, +{"fcstSharedObjectsTypesettingCustomRules-ID4", +"MakeBoxes[m12,TraditionalForm]", +"SubsuperscriptBox[\"m\", \"1\", \"2\"]"} +} + From 254655a14e681766755d2de48f99c093501f97b1 Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Sat, 2 May 2020 14:21:01 +0200 Subject: [PATCH 57/86] Added new feature to FCFAConvert: The options IncomingMomenta, OutgoingMomenta, LoopMomenta, LorentzIndexNames and SUNFIndexNames can be set to a symbol (e.g. p), in which case it will be automatically extended to p1,p2,p3 etc. --- FeynCalc/Feynman/FCFAConvert.m | 80 ++++++++++++++++++++++++++-------- 1 file changed, 62 insertions(+), 18 deletions(-) diff --git a/FeynCalc/Feynman/FCFAConvert.m b/FeynCalc/Feynman/FCFAConvert.m index 90dcde193..cc254cf39 100644 --- a/FeynCalc/Feynman/FCFAConvert.m +++ b/FeynCalc/Feynman/FCFAConvert.m @@ -78,11 +78,12 @@ UndoChiralSplittings -> False }; -FCFAConvert[(FeynArts`FAFeynAmpList|FeynAmpList)[__][diags___], OptionsPattern[]] := +FCFAConvert[(FeynArts`FAFeynAmpList|FeynAmpList)[infos__][diags___], OptionsPattern[]] := Block[ { diagsConverted,repRuleMomenta,repRuleLorentzIndices, repRulePolVectors,inMoms,outMoms,liNames,polVecs,loopMoms,dim, sunNames, sunfNames, repRuleSUNIndices, repRuleSUNFIndices, - prefactor}, + prefactor, inFAMoms, outFAMoms, loopFAMoms, lorentzIndices, + sunIndices, sunfIndices}, inMoms = OptionValue[IncomingMomenta]; outMoms = OptionValue[OutgoingMomenta]; @@ -94,8 +95,7 @@ dim = OptionValue[ChangeDimension]; prefactor = OptionValue[Prefactor]; - - repRuleMomenta={}; + repRuleMomenta = {}; repRuleLorentzIndices={}; repRuleSUNIndices={}; repRuleSUNFIndices={}; @@ -103,6 +103,9 @@ diagsConverted= Map[#[[3]]&,{diags}]; + loopFAMoms = Cases[diagsConverted,System`Integral[lm__] :> {lm}]//Flatten//Union; + {inFAMoms,outFAMoms} = FeynArts`Process /. {infos} /. Rule[a_List,b_List]:>{Transpose[a][[2]],Transpose[b][[2]]}; + diagsConverted = FCPrepareFAAmp[diagsConverted,UndoChiralSplittings->OptionValue[UndoChiralSplittings],SMP->OptionValue[SMP], FeynAmpDenominatorCombine->OptionValue[FeynAmpDenominatorCombine]]; @@ -112,32 +115,73 @@ diagsConverted = diagsConverted/.FeynArts`SumOver[___]:> 1 ]; - If[ inMoms=!={}, - repRuleMomenta = MapIndexed[Rule[ToExpression["InMom"<>ToString[First[#2]]],#1]&,inMoms] + lorentzIndices = Cases[diagsConverted, LorentzIndex[in_,___] :> in]//Union; + sunIndices = Cases[diagsConverted, SUNIndex[in_,___] :> in]//Union; + sunfIndices = Cases[diagsConverted, SUNFIndex[in_,___] :> in]//Union; + + + Switch[inMoms, + _List, + repRuleMomenta = MapIndexed[Rule[ToExpression["InMom"<>ToString[First[#2]]],#1]&,inMoms], + _Symbol, + repRuleMomenta = Table[Rule[ToExpression["InMom"<>ToString[i]],ToExpression[ToString[inMoms]<>ToString[i]]],{i,1,Length[inFAMoms]}], + _, + Null ]; - If[ outMoms=!={}, - repRuleMomenta = Join[repRuleMomenta,MapIndexed[Rule[ToExpression["OutMom"<>ToString[First[#2]]],#1]&,outMoms]] + + Switch[outMoms, + _List, + repRuleMomenta = Join[repRuleMomenta,MapIndexed[Rule[ToExpression["OutMom"<>ToString[First[#2]]],#1]&,outMoms]], + _Symbol, + repRuleMomenta = Join[repRuleMomenta,Table[Rule[ToExpression["OutMom"<>ToString[i]],ToExpression[ToString[outMoms]<>ToString[i]]],{i,1,Length[outFAMoms]}]], + _, + Null ]; - If[ loopMoms=!={}, - repRuleMomenta = Join[repRuleMomenta,MapIndexed[Rule[ToExpression["LoopMom"<>ToString[First[#2]]],#1]&,loopMoms]] + + Switch[loopFAMoms, + _List, + repRuleMomenta = Join[repRuleMomenta,MapIndexed[Rule[ToExpression["LoopMom"<>ToString[First[#2]]],#1]&,loopMoms]], + _Symbol, + repRuleMomenta = Join[repRuleMomenta,Table[Rule[ToExpression["LoopMom"<>ToString[i]],ToExpression[ToString[loopMoms]<>ToString[i]]],{i,1,Length[loopFAMoms]}]], + _, + Null ]; - If[ liNames=!={}, - repRuleLorentzIndices = MapIndexed[Rule[ToExpression["Lor"<>ToString[First[#2]]],#1]&,liNames] + + Switch[liNames, + _List, + repRuleLorentzIndices = MapIndexed[Rule[ToExpression["Lor"<>ToString[First[#2]]],#1]&,liNames], + _Symbol, + repRuleLorentzIndices = Table[Rule[ToExpression["Lor"<>ToString[i]],ToExpression[ToString[liNames]<>ToString[i]]],{i,1,Length[lorentzIndices]}], + _, + Null ]; - If[ sunNames=!={}, - repRuleSUNIndices = MapIndexed[Rule[ToExpression["Glu"<>ToString[First[#2]]],#1]&,sunNames] + + Switch[sunNames, + _List, + repRuleSUNIndices = MapIndexed[Rule[ToExpression["Glu"<>ToString[First[#2]]],#1]&,sunNames], + _Symbol, + repRuleSUNIndices = Table[Rule[ToExpression["Glu"<>ToString[i]],ToExpression[ToString[sunNames]<>ToString[i]]],{i,1,Length[sunIndices]}], + _, + Null ]; - If[ sunfNames=!={}, - repRuleSUNFIndices = MapIndexed[Rule[ToExpression["Col"<>ToString[First[#2]]],#1]&,sunfNames] + + Switch[sunfNames, + _List, + repRuleSUNFIndices = MapIndexed[Rule[ToExpression["Col"<>ToString[First[#2]]],#1]&,sunfNames], + _Symbol, + repRuleSUNFIndices = Table[Rule[ToExpression["Col"<>ToString[i]],ToExpression[ToString[sunfNames]<>ToString[i]]],{i,1,Length[sunfIndices]}], + _, + Null ]; + If[ polVecs=!={}, repRulePolVectors = Map[Rule[Polarization[#,Pattern[x,BlankNullSequence[]]], Polarization[#,x,Transversality->True]]&,polVecs] ]; - diagsConverted = diagsConverted/.repRuleMomenta/.repRuleLorentzIndices/.repRuleSUNIndices/. - repRuleSUNFIndices/. repRulePolVectors; + diagsConverted = diagsConverted /. Dispatch[repRuleMomenta] /. Dispatch[repRuleLorentzIndices] /. Dispatch[repRuleSUNIndices] /. + Dispatch[repRuleSUNFIndices] /. repRulePolVectors; If[ OptionValue[InitialSubstitutions]=!={}, From 59fb4ad40f16348244080573ad0a67c35c4b28f6 Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Sun, 3 May 2020 13:03:11 +0200 Subject: [PATCH 58/86] Modified CartesianIndex to have CartesianIndex[CartesianIndex[i]] evaluating to CartesianIndex[i]. --- FeynCalc/Shared/SharedObjects.m | 4 ++++ Tests/Shared/SharedObjects.test | 2 ++ 2 files changed, 6 insertions(+) diff --git a/FeynCalc/Shared/SharedObjects.m b/FeynCalc/Shared/SharedObjects.m index d98f72f85..764925c45 100644 --- a/FeynCalc/Shared/SharedObjects.m +++ b/FeynCalc/Shared/SharedObjects.m @@ -2075,6 +2075,10 @@ denotes a quantum field of type ftype with (possible) \ CartesianIndex[_, 0] := 0; +(* To allow things like CVD[p,CartesianIndex[i,D-1]] ... *) +CartesianIndex[CartesianIndex[in_, dim_ :3], dim_ :3] := + CartesianIndex[in,dim]; + CartesianIndex[_Integer, ___] := ( Message[SharedObjects::failmsg,"Explicit cartesian indices are not supported"]; diff --git a/Tests/Shared/SharedObjects.test b/Tests/Shared/SharedObjects.test index 3f472e705..a621d9977 100644 --- a/Tests/Shared/SharedObjects.test +++ b/Tests/Shared/SharedObjects.test @@ -773,6 +773,8 @@ D].DiracGamma[LorentzIndex[rho, D], D]"}, {"fcstSharedObjectsBehavior-ID134.0", "ExplicitLorentzIndex[0]", "ExplicitLorentzIndex[0]"}, {"fcstSharedObjectsBehavior-ID134.1", "CartesianIndex[mu, 3]", " CartesianIndex[mu]"}, {"fcstSharedObjectsBehavior-ID134.2", "CartesianIndex[mu, 0]", " 0"}, +{"fcstSharedObjectsBehavior-ID134.3", "CartesianIndex[CartesianIndex[i]]", "CartesianIndex[i]"}, +{"fcstSharedObjectsBehavior-ID134.4", "CartesianIndex[CartesianIndex[i,D-1]]", "CartesianIndex[CartesianIndex[i,D-1]]"}, {"fcstSharedObjectsBehavior-ID135", "MetricTensor[a, b]", " Pair[LorentzIndex[a], LorentzIndex[b]]"}, {"fcstSharedObjectsBehavior-ID136", "MetricTensor[a, b, Dimension -> D]", " Pair[LorentzIndex[a, D], LorentzIndex[b, D]]"}, {"fcstSharedObjectsBehavior-ID137", "MetricTensor[a, b, Dimension -> D, FCI -> False]", " MetricTensor[a, b, Dimension -> D, FeynCalcInternal -> False]"}, From 01e66c024fe79feb201bf2547e6937ae528e7a4e Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Mon, 4 May 2020 10:11:21 +0200 Subject: [PATCH 59/86] Modified Explicit to allow for adding extra symbols that remain unevaluated unless Explicit is set to True. --- FeynCalc/Shared/Explicit.m | 14 ++++++++++---- 1 file changed, 10 insertions(+), 4 deletions(-) diff --git a/FeynCalc/Shared/Explicit.m b/FeynCalc/Shared/Explicit.m index 1ae7d228e..b16fcde8b 100644 --- a/FeynCalc/Shared/Explicit.m +++ b/FeynCalc/Shared/Explicit.m @@ -18,6 +18,14 @@ Begin["`Package`"] + +SymbolsWithExplicitOption; + +SymbolsWithExplicitOption = { + FeynCalc`FCChargeConjugateTransposed[xx_, op:OptionsPattern[]] :> + FeynCalc`FCChargeConjugateTransposed[xx, Explicit->True, Sequence@@FilterRules[{op}, Except[Explicit]]] +} + End[] Begin["`Explicit`Private`"] @@ -63,10 +71,8 @@ QuarkGluonVertex :> qgv, Twist2GluonOperator :> t2g, Twist2QuarkOperator :> t2q, - FieldStrength :> fis, - FCChargeConjugateTransposed[xx_, op:OptionsPattern[]] :> FCChargeConjugateTransposed[xx, Explicit->True, - Sequence@@FilterRules[{op}, Except[Explicit]]] - }; + FieldStrength :> fis + } /. FeynCalc`Package`SymbolsWithExplicitOption; ex ]; From b7b622b785ab25de568d6b0739990594b2e76ce2 Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Mon, 4 May 2020 13:59:58 +0200 Subject: [PATCH 60/86] Modified the behavior of LorentzIndex when the argument is a CartesianIndex. This should allow for using spatial/temporal pieces of the built-in QCD vertices. --- FeynCalc/Shared/SharedObjects.m | 9 +++++++++ Tests/Feynman/GluonVertex.test | 5 ++++- Tests/Shared/SharedObjects.test | 2 ++ 3 files changed, 15 insertions(+), 1 deletion(-) diff --git a/FeynCalc/Shared/SharedObjects.m b/FeynCalc/Shared/SharedObjects.m index 764925c45..2e0a272db 100644 --- a/FeynCalc/Shared/SharedObjects.m +++ b/FeynCalc/Shared/SharedObjects.m @@ -1639,6 +1639,15 @@ denotes a quantum field of type ftype with (possible) \ LorentzIndex[in_Integer?NonNegative,dim_ :4] := ExplicitLorentzIndex[in,dim]; +(*to make things like + GluonVertex[{k, CartesianIndex[j, D - 1], e}, {p - k, 0, g}, {-p, 0, f}] +evaluate properly *) +LorentzIndex[CartesianIndex[i_]] := + CartesianIndex[i]; + +LorentzIndex[CartesianIndex[i_, dim_ - 1], dim_] := + CartesianIndex[i, dim - 1] + Momentum[x_ GaugeXi[y_], dim_:4] := GaugeXi[y] Momentum[x,dim]; diff --git a/Tests/Feynman/GluonVertex.test b/Tests/Feynman/GluonVertex.test index 373656b13..7c6a30f42 100644 --- a/Tests/Feynman/GluonVertex.test +++ b/Tests/Feynman/GluonVertex.test @@ -42,7 +42,10 @@ LorentzIndex[nu]]*SMP[\"g_s\"]^2 + I*Pair[LorentzIndex[mu, D], LorentzIndex[nu, SUNF[SUNIndex[a], SUNIndex[c], SUNIndex[c1]]*SUNF[SUNIndex[b], SUNIndex[c1], SUNIndex[d]]) - ((-I)*Pair[ExplicitLorentzIndex[0], LorentzIndex[mu]]*Pair[ExplicitLorentzIndex[0], LorentzIndex[nu]]*SMP[\"g_s\"]^2 + I*Pair[LorentzIndex[mu, D], LorentzIndex[nu, D]]*SMP[\"g_s\"]^2)* -SUNF[SUNIndex[a], SUNIndex[b], SUNIndex[c1]]*SUNF[SUNIndex[c], SUNIndex[c1], SUNIndex[d]]"} +SUNF[SUNIndex[a], SUNIndex[b], SUNIndex[c1]]*SUNF[SUNIndex[c], SUNIndex[c1], SUNIndex[d]]"}, +{"fcstGluonVertex-ID5","GluonVertex[{k, CartesianIndex[j, D - 1], e}, {p - k, 0, g}, {-p, 0, + f}] // Explicit // FCE", +"-((-CVD[k, j] + 2*CVD[p, j])*SMP[\"g_s\"]*SUNF[e, f, g])"} }; diff --git a/Tests/Shared/SharedObjects.test b/Tests/Shared/SharedObjects.test index a621d9977..c1176f598 100644 --- a/Tests/Shared/SharedObjects.test +++ b/Tests/Shared/SharedObjects.test @@ -775,6 +775,8 @@ D].DiracGamma[LorentzIndex[rho, D], D]"}, {"fcstSharedObjectsBehavior-ID134.2", "CartesianIndex[mu, 0]", " 0"}, {"fcstSharedObjectsBehavior-ID134.3", "CartesianIndex[CartesianIndex[i]]", "CartesianIndex[i]"}, {"fcstSharedObjectsBehavior-ID134.4", "CartesianIndex[CartesianIndex[i,D-1]]", "CartesianIndex[CartesianIndex[i,D-1]]"}, +{"fcstSharedObjectsBehavior-ID134.5", "LorentzIndex[CartesianIndex[j]]", "CartesianIndex[j]"}, +{"fcstSharedObjectsBehavior-ID134.6", "LorentzIndex[CartesianIndex[j,D-1],D]", "CartesianIndex[j,D-1]"}, {"fcstSharedObjectsBehavior-ID135", "MetricTensor[a, b]", " Pair[LorentzIndex[a], LorentzIndex[b]]"}, {"fcstSharedObjectsBehavior-ID136", "MetricTensor[a, b, Dimension -> D]", " Pair[LorentzIndex[a, D], LorentzIndex[b, D]]"}, {"fcstSharedObjectsBehavior-ID137", "MetricTensor[a, b, Dimension -> D, FCI -> False]", " MetricTensor[a, b, Dimension -> D, FeynCalcInternal -> False]"}, From ddf5530f06867d81188a76ac76a0c3ea2cf7bab1 Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Mon, 4 May 2020 16:31:14 +0200 Subject: [PATCH 61/86] Fixed an issue with the installer in Mma 12.1 --- install.m | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/install.m b/install.m index 653a6ae3b..258ae78ae 100644 --- a/install.m +++ b/install.m @@ -402,7 +402,10 @@ WriteString["stdout", "done! \n"]; (* To have the documentation available immediately after installing FeynCalc (following the advice of Szabolcs Horv'at) *) - RebuildPacletData[]; + If[ $VersionNumber >= 12.1, + PacletDataRebuild[], + RebuildPacletData[] + ]; (* Generate FCConfig.m *) WriteString["stdout", "Creating the configuration file ... "]; From 55e053d80b0c9097f5f2c5dd75396f0f5f4d784a Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Wed, 13 May 2020 19:50:48 +0200 Subject: [PATCH 62/86] Improved TID to work on lists of amplitudes. --- FeynCalc/LoopIntegrals/TID.m | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/FeynCalc/LoopIntegrals/TID.m b/FeynCalc/LoopIntegrals/TID.m index b90e3d9d9..8f5a89664 100644 --- a/FeynCalc/LoopIntegrals/TID.m +++ b/FeynCalc/LoopIntegrals/TID.m @@ -104,7 +104,11 @@ TID[am_ , {q_}, opts:OptionsPattern[]] := TID[am, q, opts] -TID[am_ , q_, OptionsPattern[]] := + +TID[am_List, q_/; Head[q]=!=List, opts:OptionsPattern[]]:= + Map[TID[#,q,opts]&,am]; + +TID[am_/;Head[am]=!=List , q_/; Head[q]=!=List, OptionsPattern[]] := Block[ {n, t0, t1, t3, t4, t5, t6, null1, null2, qrule, res,nres,irrelevant = 0, contractlabel, fds, iter,sp,tp, loopIntegral, wrapped,loopList,repIndexList,canIndexList,uniqueCanIndexList, @@ -589,7 +593,7 @@ res - ]/; Head[q]=!=List; + ]; tidSingleIntegral[int_, q_ , n_, pavebasis_] := Block[{ ex=int,res,rank, From 6afd0667e173e940585a961cd347c2180aab8b38 Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Wed, 13 May 2020 19:51:18 +0200 Subject: [PATCH 63/86] Applied the Collect2 time constrained trick to FCLoopSplit to avoid slow downs on large expressions. --- FeynCalc/LoopIntegrals/FCLoopSplit.m | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCLoopSplit.m b/FeynCalc/LoopIntegrals/FCLoopSplit.m index 755d46023..07db4f5df 100755 --- a/FeynCalc/LoopIntegrals/FCLoopSplit.m +++ b/FeynCalc/LoopIntegrals/FCLoopSplit.m @@ -40,10 +40,12 @@ DiracGammaExpand -> True, DotSimplify -> True, Expanding -> True, + Factoring -> {Factor2, 5000}, FCE -> False, FCI -> False, Factoring -> Factor2, - PaVeIntegralHeads -> FeynCalc`Package`PaVeHeadsList + PaVeIntegralHeads -> FeynCalc`Package`PaVeHeadsList, + TimeConstrained -> 3 }; FCLoopSplit[expr_, lmoms_List /; FreeQ[lmoms, OptionQ], OptionsPattern[]] := @@ -79,7 +81,8 @@ ]; If[ OptionValue[Collecting], - ex = Collect2[ex,Join[lmoms,loopIntHeads],Factoring->OptionValue[Factoring]]; + ex = Collect2[ex,Join[lmoms,loopIntHeads],Factoring->OptionValue[Factoring], + TimeConstrained -> OptionValue[TimeConstrained]]; ]; loopFree = Select[ex+ null1+ null2, From c56f74e5b35fa1b8f61ec99d9c6e3a586c10f435 Mon Sep 17 00:00:00 2001 From: Vlad Shtabovenko Date: Wed, 13 May 2020 19:51:55 +0200 Subject: [PATCH 64/86] Fixed a bug in FCFAConvert related to the previously introduced automatic renaming of loop momenta. --- FeynCalc/Feynman/FCFAConvert.m | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/FeynCalc/Feynman/FCFAConvert.m b/FeynCalc/Feynman/FCFAConvert.m index cc254cf39..0b4111497 100644 --- a/FeynCalc/Feynman/FCFAConvert.m +++ b/FeynCalc/Feynman/FCFAConvert.m @@ -103,7 +103,7 @@ diagsConverted= Map[#[[3]]&,{diags}]; - loopFAMoms = Cases[diagsConverted,System`Integral[lm__] :> {lm}]//Flatten//Union; + loopFAMoms = Cases[{diags},System`Integral[lm__] :> {lm}, Infinity]//Flatten//Union; {inFAMoms,outFAMoms} = FeynArts`Process /. {infos} /. Rule[a_List,b_List]:>{Transpose[a][[2]],Transpose[b][[2]]}; diagsConverted = FCPrepareFAAmp[diagsConverted,UndoChiralSplittings->OptionValue[UndoChiralSplittings],SMP->OptionValue[SMP], @@ -138,7 +138,7 @@ Null ]; - Switch[loopFAMoms, + Switch[loopMoms, _List, repRuleMomenta = Join[repRuleMomenta,MapIndexed[Rule[ToExpression["LoopMom"<>ToString[First[#2]]],#1]&,loopMoms]], _Symbol, From b085585e01aba25359d040c41f6c54e7415c05e5 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 24 May 2020 16:12:27 +0200 Subject: [PATCH 65/86] Fixed a small bug in the typesetting of CFADs and SFADs. --- FeynCalc/Shared/SharedObjectsTypesetting.m | 17 +++++++++++------ 1 file changed, 11 insertions(+), 6 deletions(-) diff --git a/FeynCalc/Shared/SharedObjectsTypesetting.m b/FeynCalc/Shared/SharedObjectsTypesetting.m index a216dd6e7..37726d9dd 100644 --- a/FeynCalc/Shared/SharedObjectsTypesetting.m +++ b/FeynCalc/Shared/SharedObjectsTypesetting.m @@ -586,6 +586,9 @@ cfadTypeset[ex_/;Head[ex]=!=List, dim_, etaOpt_] := cfadTypeset[{{ex,0},{0,etaOpt}}, dim, etaOpt]; +cfadTypeset[{ex_/;Head[ex]=!=List}, dim_, etaOpt_] := + cfadTypeset[{{ex,0},{0,etaOpt}}, dim, etaOpt]; + cfadTypeset[{ex_/;Head[ex]=!=List, rest__}, dim_, etaOpt_] := cfadTypeset[{{ex,0},rest}, dim, etaOpt]; @@ -595,7 +598,6 @@ cfadTypeset[{a_List}, dim_, etaOpt_] := cfadTypeset[{a,{0,etaOpt},1}, dim, etaOpt]; - (* When updating cfadTypeset, please check that {CFAD[{{0, 0}, m}], @@ -623,7 +625,8 @@ CFAD[{{p, p.q}, m1 + m2}], CFAD[{{p, p.q}, m1 - m2}], CFAD[{{p, p.q}, -m1 + m2}], -CFAD[{{p, p.q}, -m1 - m2}] +CFAD[{{p, p.q}, -m1 - m2}], +CFAD[{p}] } is displayed correctly! @@ -710,6 +713,9 @@ sfadTypeset[ex_/;Head[ex]=!=List, dim_, etaOpt_] := sfadTypeset[{{ex,0},{0,etaOpt}}, dim, etaOpt]; +sfadTypeset[{ex_/;Head[ex]=!=List}, dim_, etaOpt_] := + sfadTypeset[{{ex,0},{0,etaOpt}}, dim, etaOpt]; + sfadTypeset[{ex_/;Head[ex]=!=List, rest__}, dim_, etaOpt_] := sfadTypeset[{{ex,0},rest}, dim, etaOpt]; @@ -746,15 +752,14 @@ SFAD[{{p, p.q}, m1 + m2}], SFAD[{{p, p.q}, m1 - m2}], SFAD[{{p, p.q}, -m1 + m2}], -SFAD[{{p, p.q}, -m1 - m2}] - - +SFAD[{{p, p.q}, -m1 - m2}], +SFAD[{p}] } is displayed correctly! *) -sfadTypeset[{{ex1_, ex2_}, {m2_,etasign_}, n_: (1)}, dim_, _] := +sfadTypeset[{{ex1_, ex2_}, {m2_, etasign_}, n_: (1)}, dim_, _] := ( m2Exp=Expand[-m2]; Row[{"(", From 716e43f4c3f7bd67d6827519e9ee40bb2d8b02da Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 24 May 2020 16:12:43 +0200 Subject: [PATCH 66/86] Makred SMPs as FCVariables. --- FeynCalc/Feynman/SMP.m | 2 ++ 1 file changed, 2 insertions(+) diff --git a/FeynCalc/Feynman/SMP.m b/FeynCalc/Feynman/SMP.m index d9931993d..f6771b699 100755 --- a/FeynCalc/Feynman/SMP.m +++ b/FeynCalc/Feynman/SMP.m @@ -37,6 +37,8 @@ Begin["`SMP`Private`"] +DataType[SMP, FCVariable] = True; + (* Number of flavors *) SMP /: From 7c37148c289609db9dd260a4bb71c2fc85bf65ca Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 24 May 2020 16:13:01 +0200 Subject: [PATCH 67/86] Fixed a typo in an example calculation. --- FeynCalc/Examples/EW/Tree/NleQdt-LeQut.m | 3 --- 1 file changed, 3 deletions(-) diff --git a/FeynCalc/Examples/EW/Tree/NleQdt-LeQut.m b/FeynCalc/Examples/EW/Tree/NleQdt-LeQut.m index a65aab839..c22f29e25 100644 --- a/FeynCalc/Examples/EW/Tree/NleQdt-LeQut.m +++ b/FeynCalc/Examples/EW/Tree/NleQdt-LeQut.m @@ -140,9 +140,6 @@ (*Check the final results*) -knownResults - - knownResults = { (SMP["G_F"]^2*(s - SMP["m_mu"]^2)^2*SMP["V_ud", -I]*SMP["V_ud", I])/(Pi*s) }; From 4f7596cc0521779f4175958d30d04cb277720163 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Mon, 25 May 2020 22:04:43 +0200 Subject: [PATCH 68/86] Fixed a small bug in FCApart when applying the function to expressions with Pauli matrices. --- FeynCalc/LoopIntegrals/FCApart.m | 4 ++-- Tests/LoopIntegrals/ApartFF.test | 5 ++++- 2 files changed, 6 insertions(+), 3 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCApart.m b/FeynCalc/LoopIntegrals/FCApart.m index c0557f2dc..cb529bc08 100755 --- a/FeynCalc/LoopIntegrals/FCApart.m +++ b/FeynCalc/LoopIntegrals/FCApart.m @@ -162,8 +162,8 @@ (* Partial fractioning should work also for loop integrals that contain loop momenta with uncontracted indices, or loop momenta contracted with Epsilon tensors and Dirac gammas *) - If[ !FreeQ2[ex,Join[{LorentzIndex,CartesianIndex,Eps,DiracGamma},extraTensors]], - {scalarTerm,vectorTerm} = FCProductSplit[ex,Join[{LorentzIndex,CartesianIndex,Eps,DiracGamma},extraTensors]]; + If[ !FreeQ2[ex,Join[{LorentzIndex,CartesianIndex,Eps,DiracGamma,PauliSigma},extraTensors]], + {scalarTerm,vectorTerm} = FCProductSplit[ex,Join[{LorentzIndex,CartesianIndex,Eps,DiracGamma,PauliSigma},extraTensors]]; If[ scalarTerm*vectorTerm =!= ex || !FreeQ2[scalarTerm,{LorentzIndex,CartesianIndex}], Message[FCApart::error, ex]; Abort[] diff --git a/Tests/LoopIntegrals/ApartFF.test b/Tests/LoopIntegrals/ApartFF.test index 8ae957329..4e48a138f 100644 --- a/Tests/LoopIntegrals/ApartFF.test +++ b/Tests/LoopIntegrals/ApartFF.test @@ -191,5 +191,8 @@ CFAD[{{-k + p, 0}, {0, -1}, 1}] CSPD[k, k]"}, "ApartFF[(x + CFAD[p - k] CSPD[k]) CFAD[k], CSPD[k], {k}, Numerator -> False, FCE -> True]", "x CFAD[{{k, 0}, {0, -1}, 1}] CSPD[k, k] + -CFAD[{{k, 0}, {0, -1}, 1}, {{-k + p, 0}, {0, -1}, 1}] CSPD[k, k]^2"} +CFAD[{{k, 0}, {0, -1}, 1}, {{-k + p, 0}, {0, -1}, 1}] CSPD[k, k]^2"}, +{"fcstApartFF-ID43", +"ApartFF[CSISD[k] CFAD[k, k - p], {k}, FCE -> True]", +"CFAD[{{k, 0}, {0, -1}, 1}, {{k - p, 0}, {0, -1}, 1}] CSISD[k]"} }) From d26142cefbff25c1d52ac0dc04034a3b33919f6d Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 27 May 2020 21:20:32 +0200 Subject: [PATCH 69/86] Improved debugging output in TID. --- FeynCalc/LoopIntegrals/TID.m | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/FeynCalc/LoopIntegrals/TID.m b/FeynCalc/LoopIntegrals/TID.m index 8f5a89664..2e2905544 100644 --- a/FeynCalc/LoopIntegrals/TID.m +++ b/FeynCalc/LoopIntegrals/TID.m @@ -861,7 +861,7 @@ tidConvert[expr_, q_]:= Block[{ex=expr,qQQprepare,getfdp,res,temp}, - FCPrint[2, "TID: tidConvert: Entering with ", expr]; + FCPrint[4, "TID: tidConvert: Entering with ", expr, FCDoControl->tidVerbose]; getfdp[w__] := (ffdp@@(First/@(MomentumCombine[{w},FCI->True,FV->False,SP->False] /. q->0)) /. Momentum[a_,___] :> a)/; FreeQ[{w}, (PropagatorDenominator|StandardPropagatorDenominator)[_ Momentum[q, ___] + _., __]]; @@ -882,14 +882,14 @@ Message[TID::failmsg, "tidConvert failed to prepare the integral " <> ToString[res]]; Abort[] ]; - FCPrint[4, "TID: tidConvert: Leaving with ", res]; + FCPrint[4, "TID: tidConvert: Leaving with ", res, FCDoControl->tidVerbose]; res ]/; Head[expr]=!=Plus && MatchQ[expr,(FeynAmpDenominator[(x : (PropagatorDenominator|StandardPropagatorDenominator)[__] ..)] /; !FreeQ[{x}, q]) Times[Pair[Momentum[q, ___], LorentzIndex[_, ___]] ..]]; tidConvert[expr_, q_]:= Block[{ex=expr,qQQprepare,getfdp,res,temp}, - FCPrint[2, "TID: tidConvert: Entering with ", expr]; + FCPrint[4, "TID: tidConvert: Entering with ", expr, FCDoControl->tidVerbose]; getfdp[w__] := (ffdp@@(First/@(MomentumCombine[{w},FCI->True,FV->False,SP->False] /. q->0)) /. CartesianMomentum[a_,___] :> a)/; FreeQ[{w}, CartesianPropagatorDenominator[_ CartesianMomentum[q, ___] + _., __]]; @@ -914,14 +914,14 @@ zero in DR *) tidConvert[expr_, q_]:= ( - FCPrint[2, "TID: tidConvert: Dropping the scaleless integral ", expr, FCDoControl->tidVerbose]; + FCPrint[4, "TID: tidConvert: Dropping the scaleless integral ", expr, FCDoControl->tidVerbose]; 0 )/; Head[expr]=!=Plus && MatchQ[expr,Pair[Momentum[q, ___], LorentzIndex[_, ___]] | HoldPattern[Times[Pair[Momentum[q, ___], LorentzIndex[_, ___]] ..]]]; tidConvert[expr_, q_]:= ( - FCPrint[2, "TID: tidConvert: Dropping the scaleless integral ", expr, FCDoControl->tidVerbose]; + FCPrint[4, "TID: tidConvert: Dropping the scaleless integral ", expr, FCDoControl->tidVerbose]; 0 )/; Head[expr]=!=Plus && MatchQ[expr,CartesianPair[CartesianMomentum[q, ___], CartesianIndex[_, ___]] | HoldPattern[Times[CartesianPair[CartesianMomentum[q, ___], CartesianIndex[_, ___]] ..]]]; From d9debc6b41df33101418fc20b278fd4512c204d4 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 27 May 2020 21:20:51 +0200 Subject: [PATCH 70/86] Improved handling of new propagators in FDS. --- FeynCalc/LoopIntegrals/FeynAmpDenominatorSimplify.m | 10 +++++----- Tests/LoopIntegrals/TID.test | 8 ++++---- 2 files changed, 9 insertions(+), 9 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FeynAmpDenominatorSimplify.m b/FeynCalc/LoopIntegrals/FeynAmpDenominatorSimplify.m index 005173709..8d0d6065f 100644 --- a/FeynCalc/LoopIntegrals/FeynAmpDenominatorSimplify.m +++ b/FeynCalc/LoopIntegrals/FeynAmpDenominatorSimplify.m @@ -55,6 +55,7 @@ loopHead::usage=""; cLoopHead::usage=""; sLoopHead::usage=""; +mLoopHead::usage=""; null1::usage=""; null2::usage=""; @@ -172,6 +173,7 @@ time=AbsoluteTime[]; solsList = intsUnique /. { (loopHead|sLoopHead|cLoopHead)[z_,{l_}] :> fdsOneLoop[z,l], + mLoopHead[z_,{l_}] :> (ToSFAD[z] /. FeynAmpDenominator :> feynord[{l}]), loopHead[z_,{l1_,l2_}] :> multiLoopHead[oldFeynAmpDenominatorSimplify[z,l1,l2,opt]], loopHead[z_,{l1_,l2_, l3__}] :> multiLoopHead[fdsMultiLoop[z,l1,l2,l3]], sLoopHead[z_,{_,__}] :> z, @@ -353,9 +355,6 @@ will be preserved (FeynAmpDenominatorCombine->False) or broken (FeynAmpDenominat ] ]/; a=!=0; - - - fdsOneLoop[loopInt : (_. FeynAmpDenominator[props__]), q_]:= Block[{tmp,res,tmpNew,solsList,repRule,sps,fad}, @@ -1849,12 +1848,13 @@ It is not safe to remove certain scaleless integrals (like 1/q^2) if the integra !FreeQ2[x,{StandardPropagatorDenominator}], (* SFAD *) sLoopHead[x,y], - FreeQ2[x,{PropagatorDenominator,StadndardPropagatorDenominator,GenericPropagatorDenominator}] && + FreeQ2[x,{PropagatorDenominator,StandardPropagatorDenominator,GenericPropagatorDenominator}] && !FreeQ2[x,{CartesianPropagatorDenominator}], (* CFAD *) cLoopHead[x,y], True, - x + (* mixture of different propagators *) + mLoopHead[x,y] ]]; diff --git a/Tests/LoopIntegrals/TID.test b/Tests/LoopIntegrals/TID.test index a7159cc0e..acc9e6370 100644 --- a/Tests/LoopIntegrals/TID.test +++ b/Tests/LoopIntegrals/TID.test @@ -875,11 +875,11 @@ nu])*GenPaVe[{1, 2}, {{0, m0}, {-p1, m1}, {-p2, m2}}] + FVD[p2, \ mu]*FVD[p2, nu]*GenPaVe[{2, 2}, {{0, m0}, {-p1, m1}, {-p2, m2}}] + \ GenPaVe[{0, 0}, {{0, m0}, {-p1, m1}, {-p2, m2}}]*MTD[mu, nu]"}, {"fcstTID-ID39", "TID[FVD[q,mu]SFAD[-q,q-p]FAD[q-p],q,FCE->True]", -"FAD[-p + q]*FVD[q, mu]*SFAD[{{q, 0}, {0, 1}, 1}, {{-p + q, 0}, \ -{0, 1}, 1}]"}, +"(FVD[p, mu]*SFAD[{{q, 0}, {0, 1}, 1}, {{q, 0}, {0, 1}, 1}, {{-p + q, 0}, +{0, 1}, 1}])/2 - (FVD[p, mu]*SFAD[{{q, 0}, {0, 1}, 1}, {{-p + q, 0}, {0, 1}, 1}])/(2*SPD[p, p])"}, {"fcstTID-ID40", "TID[FVD[q,mu]SFAD[q,q-p]FAD[q-p],q,FCE->True]", -"FAD[-p + q]*FVD[q, mu]*SFAD[{{q, 0}, {0, 1}, 1}, {{-p + q, 0}, \ -{0, 1}, 1}]"}, +"(FVD[p, mu]*SFAD[{{q, 0}, {0, 1}, 1}, {{q, 0}, {0, 1}, 1}, +{{-p + q, 0}, {0, 1}, 1}])/2 - (FVD[p, mu]*SFAD[{{q, 0}, {0, 1}, 1}, {{-p + q, 0}, {0, 1}, 1}])/(2*SPD[p, p])"}, {"fcstTID-ID41", "TID[FVD[q,mu]SFAD[q,q-p,{{0,q.k}}],q,FCE->True]", "FVD[q, mu]*SFAD[{{0, k . q}, {0, 1}, 1}, {{q, 0}, {0, 1}, 1}, {{p \ - q, 0}, {0, 1}, 1}]"}, From e09fb5f05bf37c21480b959f0170b7eb135de07f Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 28 May 2020 15:52:15 +0200 Subject: [PATCH 71/86] Fixed a small bug in the treatment fractional powers in Cartesian scalar products. --- FeynCalc/LoopIntegrals/FCLoopBasis.m | 5 +++++ Tests/LoopIntegrals/FCApart.test | 6 +++++- Tests/LoopIntegrals/FCLoopBasis.test | 8 +++++++- 3 files changed, 17 insertions(+), 2 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCLoopBasis.m b/FeynCalc/LoopIntegrals/FCLoopBasis.m index f9c58a415..a85d4d2cb 100755 --- a/FeynCalc/LoopIntegrals/FCLoopBasis.m +++ b/FeynCalc/LoopIntegrals/FCLoopBasis.m @@ -252,6 +252,11 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), auxIntegralToPropagators[pref0_. Power[pref_. exp_CartesianPair, n_Integer?Positive], lmoms_]:= ConstantArray[FeynAmpDenominator[CartesianPropagatorDenominator[0, pow[pref0,1/n] pref exp, 0, {-1, optEtaSign[[2]]}]], n]/; FreeQ2[{pref,pref0},lmoms]; + +auxIntegralToPropagators[pref0_. Power[pref_. exp_CartesianPair, n_Rational?Positive/; Denominator[n]===2 && Numerator[n]>=3], lmoms_]:= + Join[ConstantArray[FeynAmpDenominator[CartesianPropagatorDenominator[0, pow[pref0,1/(n-1/2)] pref exp, 0, {-1, optEtaSign[[2]]}]], (n-1/2)], + {FeynAmpDenominator[CartesianPropagatorDenominator[0, pow[pref0,1/2] Sqrt[pref] Sqrt[exp], 0, {-1, optEtaSign[[2]]}]]}]/; FreeQ2[{pref,pref0},lmoms]; + auxIntegralToPropagators[pref_. exp_CartesianPair, lmoms_]:= FeynAmpDenominator[CartesianPropagatorDenominator[0, pref exp, 0, {-1, optEtaSign[[2]]}]]/; FreeQ2[pref,lmoms]; diff --git a/Tests/LoopIntegrals/FCApart.test b/Tests/LoopIntegrals/FCApart.test index fa830173e..f40b93187 100644 --- a/Tests/LoopIntegrals/FCApart.test +++ b/Tests/LoopIntegrals/FCApart.test @@ -486,5 +486,9 @@ D]]]*FeynAmpDenominator[CartesianPropagatorDenominator[\ CartesianMomentum[k, -1 + D] - CartesianMomentum[p, -1 + D], 0, 0, \ {1, -1}]]"}, {"fcstFCApart-ID62", -"FCApart[Sqrt[CSPD[k]]^2GFAD[Sqrt[CSPD[k]]],{k}]", "0"} +"FCApart[Sqrt[CSPD[k]]^2GFAD[Sqrt[CSPD[k]]],{k}]", "0"}, +{"fcstFCApart-ID63", +"FCApart[CFAD[{{k, 0}, {0, -1}, 1}, {{k, 0}, {0, -1}, + 1}, {{k - p, 0}, {0, -1}, 1}] CSPD[k, k]^(3/2), {k}, FCE -> True]", + "CFAD[{{k, 0}, {0, -1}, 1}, {{k - p, 0}, {0, -1}, 1}] Sqrt[CSPD[k, k]]"} }) diff --git a/Tests/LoopIntegrals/FCLoopBasis.test b/Tests/LoopIntegrals/FCLoopBasis.test index d77f85675..579b26f6e 100644 --- a/Tests/LoopIntegrals/FCLoopBasis.test +++ b/Tests/LoopIntegrals/FCLoopBasis.test @@ -1040,7 +1040,13 @@ GFAD[{{CSPD[k, k] x[1] + (CSPD[k, k - 2 p] + CSPD[p, p]) x[2], 1}, 1 + s}] CFAD[{k, -c^2}], {k}, FCE -> True]", "{{CSPD[k, k]*x[1] + CSPD[k, k]*x[2] - 2*CSPD[k, p]*x[2] + CSPD[p, p]*x[2], -c^2 + CSPD[k, k]}, {CSPD[k, k], CSPD[k, p]}, {1 + s, 1}, -{GFAD[{{CSPD[k, k]*x[1] + (CSPD[k, k - 2*p] + CSPD[p, p])*x[2], 1}, 1}], CFAD[{{k, 0}, {-c^2, -1}, 1}]}}"} +{GFAD[{{CSPD[k, k]*x[1] + (CSPD[k, k - 2*p] + CSPD[p, p])*x[2], 1}, 1}], CFAD[{{k, 0}, {-c^2, -1}, 1}]}}"}, +{"fcstFCLoopBasisIntegralToPropagators-ID62", +"FCLoopBasisIntegralToPropagators[ +FCI[CFAD[{{k, 0}, {0, -1}, 1}, {{k, 0}, {0, -1}, + 1}, {{k - p, 0}, {0, -1}, 1}] Sqrt[CSPD[k, k]] CSPD[k, + k]], {k}] // FCE","{CFAD[{{0, Sqrt[k.k]}, {0, -1}, -1}], CFAD[{{0, k.k}, {0, -1}, -1}], +CFAD[{{k, 0}, {0, -1}, 1}], CFAD[{{k - p, 0}, {0, -1}, 1}]}"} }); Tests`LoopIntegrals`fcstFCLoopBasisCreateScalarProducts = From a3aab44faccb7e68d0fab29a626b1ddc47667725 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sun, 7 Jun 2020 12:59:51 +0200 Subject: [PATCH 72/86] Fixed a bug in ToSFAD for massive propagators. --- FeynCalc/LoopIntegrals/FCLoopBasis.m | 3 +- FeynCalc/LoopIntegrals/ToSFAD.m | 2 +- Tests/LoopIntegrals/FCLoopBasis.test | 15 +- .../FCLoopMixedToCartesianAndTemporal.test | 4 +- Tests/LoopIntegrals/TID.test | 207 ++++++------------ Tests/LoopIntegrals/ToSFAD.test | 30 +-- 6 files changed, 94 insertions(+), 167 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCLoopBasis.m b/FeynCalc/LoopIntegrals/FCLoopBasis.m index a85d4d2cb..80cff27b4 100755 --- a/FeynCalc/LoopIntegrals/FCLoopBasis.m +++ b/FeynCalc/LoopIntegrals/FCLoopBasis.m @@ -318,7 +318,8 @@ included in the loop integral int (that depends on the loop momenta q1,q2,...), ]; If[ OptionValue[ToSFAD] && !FreeQ[expAsList,PropagatorDenominator], - expAsList = ToSFAD[expAsList] + expAsList = ToSFAD[expAsList]; + FCPrint[3,"FCLoopBasisIntegralToPropagators: After ToSFAD: ", expAsList, FCDoControl->itpVerbose]; ]; diff --git a/FeynCalc/LoopIntegrals/ToSFAD.m b/FeynCalc/LoopIntegrals/ToSFAD.m index e589e862e..e8a613efe 100755 --- a/FeynCalc/LoopIntegrals/ToSFAD.m +++ b/FeynCalc/LoopIntegrals/ToSFAD.m @@ -65,7 +65,7 @@ }; pdsConverted = pds /. { - PropagatorDenominator[a_,b_] :> StandardPropagatorDenominator[a,0,b^2,{1, optEtaSign}] + PropagatorDenominator[a_,b_] :> StandardPropagatorDenominator[a,0,-b^2,{1, optEtaSign}] }; ruleFads = Thread[Rule[fads,fadsConverted]]; diff --git a/Tests/LoopIntegrals/FCLoopBasis.test b/Tests/LoopIntegrals/FCLoopBasis.test index 579b26f6e..b0b9638c9 100644 --- a/Tests/LoopIntegrals/FCLoopBasis.test +++ b/Tests/LoopIntegrals/FCLoopBasis.test @@ -867,9 +867,18 @@ Tally -> True, FCE -> True]", Pair[Momentum[-k2/2, D], Momentum[l, D]]) FAD[{l, 0, 2}, {-k1/2 - k2/2 + l, m}, {k1/2 - k2/2 + l, m}], {l}, MomentumCombine -> True, Tally -> False]", -"{FeynAmpDenominator[StandardPropagatorDenominator[0, -Pair[Momentum[k1 + k2, D], Momentum[l, D]]/2, 0, {-1, 1}]], -FeynAmpDenominator[StandardPropagatorDenominator[Momentum[l, D], 0, 0, {1, 1}]], FeynAmpDenominator[StandardPropagatorDenominator[-Momentum[k1, D]/2 - Momentum[k2, D]/2 + Momentum[l, D], -0, m^2, {1, 1}]], FeynAmpDenominator[StandardPropagatorDenominator[Momentum[k1, D]/2 - Momentum[k2, D]/2 + Momentum[l, D], 0, m^2, {1, 1}]]}"}, +"{FeynAmpDenominator[ +StandardPropagatorDenominator[ +0, -Pair[Momentum[k1 + k2, D], Momentum[l, D]]/2, 0, {-1, 1}]], +FeynAmpDenominator[ +StandardPropagatorDenominator[Momentum[l, D], 0, 0, {1, 1}]], +FeynAmpDenominator[ +StandardPropagatorDenominator[-Momentum[k1, D]/2 - + Momentum[k2, D]/2 + Momentum[l, D], 0, -m^2, {1, 1}]], +FeynAmpDenominator[ +StandardPropagatorDenominator[ +Momentum[k1, D]/2 - Momentum[k2, D]/2 + Momentum[l, D], +0, -m^2, {1, 1}]]}"}, {"fcstFCLoopBasisIntegralToPropagators-ID32", "FCLoopBasisIntegralToPropagators[GFAD[{p1.q p2.q + x}] SFAD[p1], {p1, p2}, FCE -> True]", "{GFAD[{{x + p1.q p2.q, 1}, 1}], SFAD[{{p1, 0}, {0, 1}, 1}]}"}, diff --git a/Tests/LoopIntegrals/FCLoopMixedToCartesianAndTemporal.test b/Tests/LoopIntegrals/FCLoopMixedToCartesianAndTemporal.test index f3ac49a23..211a82e6c 100644 --- a/Tests/LoopIntegrals/FCLoopMixedToCartesianAndTemporal.test +++ b/Tests/LoopIntegrals/FCLoopMixedToCartesianAndTemporal.test @@ -78,8 +78,8 @@ FCE->True]", "-CFAD[{{0, p . q}, {-(TC[p]*TC[q]), -1}, 3}]"}, {"fcstFCLoopMixedToCartesianAndTemporal-ID19", "FCLoopMixedToCartesianAndTemporal[ \ FCI[TC[k]FAD[{k,m3},{k-pH,m2},{k-pE1,pPH}]],{k},FCE\[Rule]True]", -"-(CFAD[{{k, 0}, {-m3^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {-m2^2 - \ -TC[k - pH]^2, -1}, 1}, {{k - pE1, 0}, {-pPH^2 - TC[k - pE1]^2, -1}, \ +"-(CFAD[{{k, 0}, {m3^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {m2^2 - \ +TC[k - pH]^2, -1}, 1}, {{k - pE1, 0}, {pPH^2 - TC[k - pE1]^2, -1}, \ 1}]*TC[k])"}, {"fcstFCLoopMixedToCartesianAndTemporal-ID20", "FCLoopMixedToCartesianAndTemporal[FCI[TC[k] FVD[k,mu] \ diff --git a/Tests/LoopIntegrals/TID.test b/Tests/LoopIntegrals/TID.test index acc9e6370..c03906eed 100644 --- a/Tests/LoopIntegrals/TID.test +++ b/Tests/LoopIntegrals/TID.test @@ -949,151 +949,68 @@ Pair[CartesianMomentum[p, -1 + D], LorentzIndex[mu, D]]*TC[k]^3)/ {"fcstTID-ID50", "TID[GSD[k] FAD[-pE1-pPh] \ FAD[{k,m2},k+pE1-pH+pPh,{k-pH,m2},{k-pH,m3}] TC[k],k,FCE\[Rule]True]", - "(CFAD[{{k, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}, {{k + pE1 - pH + \ -pPh, 0}, {-m2^2 - TC[k - pH]^2, -1}, 1}]*(CGSD[pH] - CGSD[-pE1 - pPh] \ -- CGSD[pE1 + pH + pPh])*(CSPD[pE1, pH] + CSPD[pH, pPh])*FAD[pE1 + \ -pPh]*TC[k])/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - \ -CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) - \ -(CFAD[{{k, 0}, {-m2^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {-m2^2 - TC[k \ -- pH]^2, -1}, 1}]*(CGSD[pH]*CSPD[pE1, pH] + CGSD[-pE1 - pPh]*CSPD[pH, \ -pH] + CGSD[pH]*CSPD[pH, pPh])*FAD[pE1 + pPh]*TC[k])/(2*(m2^2 - \ -m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, \ -pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + (CFAD[{{k, 0}, {-m3^2 - \ -TC[k]^2, -1}, 1}, {{k - pH, 0}, {-m2^2 - TC[k - pH]^2, -1}, \ -1}]*(CGSD[pH]*CSPD[pE1, pH] + CGSD[-pE1 - pPh]*CSPD[pH, pH] + \ -CGSD[pH]*CSPD[pH, pPh])*FAD[pE1 + pPh]*TC[k])/(2*(m2^2 - \ -m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, \ -pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + (CFAD[{{k, 0}, {-TC[k - \ -pE1 - pPh]^2, -1}, 1}, {{k + pE1 + pPh, 0}, {-m2^2 - TC[k]^2, -1}, \ -1}]*(CGSD[pH]*CSPD[pE1, pE1] + CGSD[-pE1 - pPh]*CSPD[pE1, pH] + \ -2*CGSD[pH]*CSPD[pE1, pPh] + CGSD[-pE1 - pPh]*CSPD[pH, pPh] + \ -CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k])/(2*(m2^2 - \ -m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, \ -pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) - (CFAD[{{k, 0}, {-TC[k - \ -pE1 - pPh]^2, -1}, 1}, {{k + pE1 + pPh, 0}, {-m3^2 - TC[k]^2, -1}, \ -1}]*(CGSD[pH]*CSPD[pE1, pE1] + CGSD[-pE1 - pPh]*CSPD[pE1, pH] + \ -2*CGSD[pH]*CSPD[pE1, pPh] + CGSD[-pE1 - pPh]*CSPD[pH, pPh] + \ -CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k])/(2*(m2^2 - \ -m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, \ -pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) - (CFAD[{{k, 0}, {-m2^2 - \ -TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {-m2^2 - TC[k]^2, -1}, 1}, {{k - \ -pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, \ -1}]*(CGSD[pH]*CSPD[pE1, pE1]*CSPD[pH, pH] + CGSD[-pE1 - \ -pPh]*CSPD[pE1, pH]*CSPD[pH, pH] + 2*CGSD[pH]*CSPD[pE1, pPh]*CSPD[pH, \ -pH] + CGSD[-pE1 - pPh]*CSPD[pH, pH]*CSPD[pH, pPh] + CGSD[pH]*CSPD[pH, \ -pH]*CSPD[pPh, pPh] - CGSD[pH]*CSPD[pE1, pH]*(m2^2 + CSPD[pE1, pE1] + \ -2*CSPD[pE1, pPh] + CSPD[pPh, pPh]) - CGSD[-pE1 - pPh]*CSPD[pH, \ -pH]*(m2^2 + CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]) - \ -CGSD[pH]*CSPD[pH, pPh]*(m2^2 + CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + \ -CSPD[pPh, pPh]))*FAD[pE1 + pPh]*TC[k])/(2*(m2^2 - m3^2)*((-CSPD[pE1, \ -pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, \ -pPh] + CSPD[pPh, pPh]))) - (CFAD[{{k, 0}, {-m2^2 - TC[k - pH]^2, -1}, \ -1}, {{k + pH, 0}, {-m3^2 - TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, \ -0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]*(CGSD[pH]*CSPD[pE1, pE1]*(m2^2 - \ -m3^2 - CSPD[pH, pH]) + CGSD[-pE1 - pPh]*CSPD[pE1, pH]*(m2^2 - m3^2 - \ -CSPD[pH, pH]) + 2*CGSD[pH]*CSPD[pE1, pPh]*(m2^2 - m3^2 - CSPD[pH, \ -pH]) + CGSD[-pE1 - pPh]*(m2^2 - m3^2 - CSPD[pH, pH])*CSPD[pH, pPh] + \ -CGSD[pH]*(m2^2 - m3^2 - CSPD[pH, pH])*CSPD[pPh, pPh] + \ -CGSD[pH]*CSPD[pE1, pH]*(m3^2 + CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + \ -CSPD[pPh, pPh]) + CGSD[-pE1 - pPh]*CSPD[pH, pH]*(m3^2 + CSPD[pE1, \ -pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]) + CGSD[pH]*CSPD[pH, \ -pPh]*(m3^2 + CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, \ -pPh]))*FAD[pE1 + pPh]*TC[k])/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - \ -CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + \ -CSPD[pPh, pPh]))) + (CFAD[{{k, 0}, {-m2^2 - TC[k]^2, -1}, 1}, {{k - \ -pH, 0}, {-m2^2 - TC[k - pH]^2, -1}, 1}, {{k - pE1 - pPh, 0}, {-TC[k - \ -pE1 - pPh]^2, -1}, 1}]*FAD[pE1 + pPh]*GSD[pH]*TC[k])/(m2^2 - m3^2) - \ -(CFAD[{{k, 0}, {-m3^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {-m2^2 - TC[k \ -- pH]^2, -1}, 1}, {{k - pE1 - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, \ -1}]*FAD[pE1 + pPh]*GSD[pH]*TC[k])/(m2^2 - m3^2) - (CFAD[{{k, 0}, \ -{-m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {-m2^2 - TC[k]^2, -1}, \ -1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, \ -1}]*(CGSD[pH]*CSPD[pE1, pE1] - CGSD[pH]*CSPD[pE1, pH] + CGSD[-pE1 - \ -pPh]*CSPD[pE1, pH] + 2*CGSD[pH]*CSPD[pE1, pPh] - CGSD[-pE1 - \ -pPh]*CSPD[pH, pH] - CGSD[pH]*CSPD[pH, pPh] + CGSD[-pE1 - \ -pPh]*CSPD[pH, pPh] + CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 + \ -pPh]*TC[k]^3)/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - \ -CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + \ -(CFAD[{{k, 0}, {-m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {-m3^2 - \ -TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, \ --1}, 1}]*(CGSD[pH]*CSPD[pE1, pE1] - CGSD[pE1 + pH + pPh]*CSPD[pE1, \ -pH] + 2*CGSD[pH]*CSPD[pE1, pPh] - CGSD[-pE1 - pPh]*CSPD[pH, pH] - \ -CGSD[pE1 + pH + pPh]*CSPD[pH, pPh] + CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 \ -+ pPh]*TC[k]^3)/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 \ -- CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) \ -+ (CFAD[{{k, 0}, {-m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {-m2^2 \ -- TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, \ --1}, 1}]*(CGSD[pH]*CSPD[pE1, pE1] + CGSD[-pE1 - pPh]*CSPD[pE1, pH] + \ -2*CGSD[pH]*CSPD[pE1, pPh] + CGSD[-pE1 - pPh]*CSPD[pH, pPh] + \ -CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k]*(TC[k] - \ -TC[pH])^2)/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - \ -CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) - \ -(CFAD[{{k, 0}, {-m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {-m3^2 - \ -TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, \ --1}, 1}]*(CGSD[pH]*CSPD[pE1, pE1] + CGSD[-pE1 - pPh]*CSPD[pE1, pH] + \ -2*CGSD[pH]*CSPD[pE1, pPh] + CGSD[-pE1 - pPh]*CSPD[pH, pPh] + \ -CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k]*(TC[k] - \ -TC[pH])^2)/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - \ -CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + \ -(FAD[pE1 + pPh]*FAD[{k, m2}, {k - pH, m2}]*(GSD[pH]*SPD[pE1, pH] + \ -GSD[-pE1 - pPh]*SPD[pH, pH] + GSD[pH]*SPD[pH, pPh])*TC[pH])/(2*(m2^2 \ -- m3^2)*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, \ -pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]))) - (FAD[pE1 + pPh]*FAD[{k, \ -m2}, {k - pH, m3}]*(GSD[pH]*SPD[pE1, pH] + GSD[-pE1 - pPh]*SPD[pH, \ -pH] + GSD[pH]*SPD[pH, pPh])*TC[pH])/(2*(m2^2 - m3^2)*((-SPD[pE1, pH] \ -- SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + \ -SPD[pPh, pPh]))) - (FAD[pE1 + pPh]*FAD[{k, m2}, k - pE1 - \ -pPh]*(GSD[pH]*SPD[pE1, pE1] + GSD[-pE1 - pPh]*SPD[pE1, pH] + \ -2*GSD[pH]*SPD[pE1, pPh] + GSD[-pE1 - pPh]*SPD[pH, pPh] + \ -GSD[pH]*SPD[pPh, pPh])*TC[pH])/(2*(m2^2 - m3^2)*((-SPD[pE1, pH] - \ -SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + \ -SPD[pPh, pPh]))) + (FAD[pE1 + pPh]*FAD[{k, m3}, k - pE1 - \ -pPh]*(GSD[pH]*SPD[pE1, pE1] + GSD[-pE1 - pPh]*SPD[pE1, pH] + \ -2*GSD[pH]*SPD[pE1, pPh] + GSD[-pE1 - pPh]*SPD[pH, pPh] + \ -GSD[pH]*SPD[pPh, pPh])*TC[pH])/(2*(m2^2 - m3^2)*((-SPD[pE1, pH] - \ -SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + \ -SPD[pPh, pPh]))) + (FAD[pE1 + pPh]*FAD[{k, m2}, {k - pH, m2}, k - pE1 \ -- pPh]*(GSD[pH]*SPD[pE1, pE1]*SPD[pH, pH] + GSD[-pE1 - pPh]*SPD[pE1, \ -pH]*SPD[pH, pH] + 2*GSD[pH]*SPD[pE1, pPh]*SPD[pH, pH] + GSD[-pE1 - \ -pPh]*SPD[pH, pH]*SPD[pH, pPh] + GSD[pH]*SPD[pH, pH]*SPD[pPh, pPh] - \ -GSD[pH]*SPD[pE1, pH]*(m2^2 + SPD[pE1, pE1] + 2*SPD[pE1, pPh] + \ -SPD[pPh, pPh]) - GSD[-pE1 - pPh]*SPD[pH, pH]*(m2^2 + SPD[pE1, pE1] + \ -2*SPD[pE1, pPh] + SPD[pPh, pPh]) - GSD[pH]*SPD[pH, pPh]*(m2^2 + \ -SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]) + \ -2*GSD[pH]*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, \ -pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh])))*TC[pH])/(2*(m2^2 - \ -m3^2)*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] \ -+ 2*SPD[pE1, pPh] + SPD[pPh, pPh]))) - (FAD[pE1 + pPh]*FAD[{k, m3}, \ -{k - pH, m2}, k - pE1 - pPh]*(-(GSD[pH]*SPD[pE1, pE1]*(m2^2 - m3^2 - \ -SPD[pH, pH])) - GSD[-pE1 - pPh]*SPD[pE1, pH]*(m2^2 - m3^2 - SPD[pH, \ -pH]) - 2*GSD[pH]*SPD[pE1, pPh]*(m2^2 - m3^2 - SPD[pH, pH]) - GSD[-pE1 \ -- pPh]*(m2^2 - m3^2 - SPD[pH, pH])*SPD[pH, pPh] - GSD[pH]*(m2^2 - \ -m3^2 - SPD[pH, pH])*SPD[pPh, pPh] - GSD[pH]*SPD[pE1, pH]*(m3^2 + \ -SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]) - GSD[-pE1 - \ -pPh]*SPD[pH, pH]*(m3^2 + SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, \ -pPh]) - GSD[pH]*SPD[pH, pPh]*(m3^2 + SPD[pE1, pE1] + 2*SPD[pE1, pPh] \ -+ SPD[pPh, pPh]) + 2*GSD[pH]*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - \ -SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, \ -pPh])))*TC[pH])/(2*(m2^2 - m3^2)*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - \ -SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]))) - \ -(CFAD[{{k, 0}, {-m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {-m2^2 - \ -TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, \ --1}, 1}]*(CGSD[pH]*CSPD[pE1, pH] + CGSD[-pE1 - pPh]*CSPD[pH, pH] + \ -CGSD[pH]*CSPD[pH, pPh])*FAD[pE1 + pPh]*TC[k]*(TC[k] - TC[pE1] - \ -TC[pPh])^2)/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - \ -CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + \ -(CFAD[{{k, 0}, {-m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {-m3^2 - \ -TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, \ --1}, 1}]*(CGSD[pH]*CSPD[pE1, pH] + CGSD[-pE1 - pPh]*CSPD[pH, pH] + \ -CGSD[pH]*CSPD[pH, pPh])*FAD[pE1 + pPh]*TC[k]*(TC[k] - TC[pE1] - \ -TC[pPh])^2)/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - \ -CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) - \ -(CFAD[{{k, 0}, {-m2^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {-m2^2 - TC[k \ -- pH]^2, -1}, 1}, {{k - pE1 - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, \ -1}]*FAD[pE1 + pPh]*TC[k]^2*TGA[])/(m2^2 - m3^2) + (CFAD[{{k, 0}, \ -{-m3^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {-m2^2 - TC[k - pH]^2, -1}, \ -1}, {{k - pE1 - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]*FAD[pE1 + \ -pPh]*TC[k]^2*TGA[])/(m2^2 - m3^2)"}, + "-(CFAD[{{k, 0}, {m2^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}]*(CGSD[pH]*CSPD[pE1, pH] + CGSD[-pE1 - pPh]*CSPD[pH, pH] + CGSD[pH]*CSPD[pH, pPh])*FAD[pE1 + pPh]*TC[k])/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + +(CFAD[{{k, 0}, {m3^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}]*(CGSD[pH]*CSPD[pE1, pH] + CGSD[-pE1 - pPh]*CSPD[pH, pH] + CGSD[pH]*CSPD[pH, pPh])*FAD[pE1 + pPh]*TC[k])/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + +(CFAD[{{k, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}, {{k + pE1 + pPh, 0}, {m2^2 - TC[k]^2, -1}, 1}]*(CGSD[pH]*CSPD[pE1, pE1] + CGSD[-pE1 - pPh]*CSPD[pE1, pH] + 2*CGSD[pH]*CSPD[pE1, pPh] + + CGSD[-pE1 - pPh]*CSPD[pH, pPh] + CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k])/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) - +(CFAD[{{k, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}, {{k + pE1 + pPh, 0}, {m3^2 - TC[k]^2, -1}, 1}]*(CGSD[pH]*CSPD[pE1, pE1] + CGSD[-pE1 - pPh]*CSPD[pE1, pH] + 2*CGSD[pH]*CSPD[pE1, pPh] + + CGSD[-pE1 - pPh]*CSPD[pH, pPh] + CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k])/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) - +(CFAD[{{k, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {m2^2 - TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]* +(CGSD[pH]*CSPD[pE1, pE1]*CSPD[pH, pH] + CGSD[-pE1 - pPh]*CSPD[pE1, pH]*CSPD[pH, pH] + 2*CGSD[pH]*CSPD[pE1, pPh]*CSPD[pH, pH] + CGSD[-pE1 - pPh]*CSPD[pH, pH]*CSPD[pH, pPh] + + CGSD[pH]*CSPD[pE1, pH]*(m2^2 - CSPD[pE1, pE1] - 2*CSPD[pE1, pPh] - CSPD[pPh, pPh]) + CGSD[-pE1 - pPh]*CSPD[pH, pH]*(m2^2 - CSPD[pE1, pE1] - 2*CSPD[pE1, pPh] - CSPD[pPh, pPh]) + + CGSD[pH]*CSPD[pH, pPh]*(m2^2 - CSPD[pE1, pE1] - 2*CSPD[pE1, pPh] - CSPD[pPh, pPh]) + CGSD[pH]*CSPD[pH, pH]*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k])/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + +(CFAD[{{k, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {m3^2 - TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]* +(CGSD[pH]*CSPD[pE1, pE1]*(m2^2 - m3^2 + CSPD[pH, pH]) + CGSD[-pE1 - pPh]*CSPD[pE1, pH]*(m2^2 - m3^2 + CSPD[pH, pH]) + 2*CGSD[pH]*CSPD[pE1, pPh]*(m2^2 - m3^2 + CSPD[pH, pH]) + + CGSD[-pE1 - pPh]*(m2^2 - m3^2 + CSPD[pH, pH])*CSPD[pH, pPh] + CGSD[pH]*CSPD[pE1, pH]*(m3^2 - CSPD[pE1, pE1] - 2*CSPD[pE1, pPh] - CSPD[pPh, pPh]) + + CGSD[-pE1 - pPh]*CSPD[pH, pH]*(m3^2 - CSPD[pE1, pE1] - 2*CSPD[pE1, pPh] - CSPD[pPh, pPh]) + CGSD[pH]*CSPD[pH, pPh]*(m3^2 - CSPD[pE1, pE1] - 2*CSPD[pE1, pPh] - CSPD[pPh, pPh]) + + CGSD[pH]*(m2^2 - m3^2 + CSPD[pH, pH])*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k])/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + +(CFAD[{{k, 0}, {m2^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k - pE1 - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]*FAD[pE1 + pPh]*GSD[pH]*TC[k])/(m2^2 - m3^2) - +(CFAD[{{k, 0}, {m3^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k - pE1 - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]*FAD[pE1 + pPh]*GSD[pH]*TC[k])/(m2^2 - m3^2) - +(CFAD[{{k, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {m2^2 - TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]* +(CGSD[pH]*CSPD[pE1, pE1] - CGSD[pE1 + pH + pPh]*CSPD[pE1, pH] + 2*CGSD[pH]*CSPD[pE1, pPh] - CGSD[-pE1 - pPh]*CSPD[pH, pH] - CGSD[pE1 + pH + pPh]*CSPD[pH, pPh] + CGSD[pH]*CSPD[pPh, pPh])* +FAD[pE1 + pPh]*TC[k]^3)/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + +(CFAD[{{k, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {m3^2 - TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]* +(CGSD[pH]*CSPD[pE1, pE1] - CGSD[pE1 + pH + pPh]*CSPD[pE1, pH] + 2*CGSD[pH]*CSPD[pE1, pPh] - CGSD[-pE1 - pPh]*CSPD[pH, pH] - CGSD[pE1 + pH + pPh]*CSPD[pH, pPh] + CGSD[pH]*CSPD[pPh, pPh])* +FAD[pE1 + pPh]*TC[k]^3)/(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + +(CFAD[{{k, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {m2^2 - TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]* +(CGSD[pH]*CSPD[pE1, pE1] + CGSD[-pE1 - pPh]*CSPD[pE1, pH] + 2*CGSD[pH]*CSPD[pE1, pPh] + CGSD[-pE1 - pPh]*CSPD[pH, pPh] + CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k]*(TC[k] - TC[pH])^2)/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) - +(CFAD[{{k, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {m3^2 - TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]* +(CGSD[pH]*CSPD[pE1, pE1] + CGSD[-pE1 - pPh]*CSPD[pE1, pH] + 2*CGSD[pH]*CSPD[pE1, pPh] + CGSD[-pE1 - pPh]*CSPD[pH, pPh] + CGSD[pH]*CSPD[pPh, pPh])*FAD[pE1 + pPh]*TC[k]*(TC[k] - TC[pH])^2)/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + +(FAD[pE1 + pPh]*FAD[{k, m2}, {k - pH, m2}]*(GSD[pH]*SPD[pE1, pH] + GSD[-pE1 - pPh]*SPD[pH, pH] + GSD[pH]*SPD[pH, pPh])*TC[pH])/ +(2*(m2^2 - m3^2)*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]))) - +(FAD[pE1 + pPh]*FAD[{k, m2}, {k - pH, m3}]*(GSD[pH]*SPD[pE1, pH] + GSD[-pE1 - pPh]*SPD[pH, pH] + GSD[pH]*SPD[pH, pPh])*TC[pH])/ +(2*(m2^2 - m3^2)*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]))) - +(FAD[pE1 + pPh]*FAD[{k, m2}, k - pE1 - pPh]*(GSD[pH]*SPD[pE1, pE1] + GSD[-pE1 - pPh]*SPD[pE1, pH] + 2*GSD[pH]*SPD[pE1, pPh] + GSD[-pE1 - pPh]*SPD[pH, pPh] + GSD[pH]*SPD[pPh, pPh])*TC[pH])/ +(2*(m2^2 - m3^2)*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]))) + +(FAD[pE1 + pPh]*FAD[{k, m3}, k - pE1 - pPh]*(GSD[pH]*SPD[pE1, pE1] + GSD[-pE1 - pPh]*SPD[pE1, pH] + 2*GSD[pH]*SPD[pE1, pPh] + GSD[-pE1 - pPh]*SPD[pH, pPh] + GSD[pH]*SPD[pPh, pPh])*TC[pH])/ +(2*(m2^2 - m3^2)*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]))) + +(FAD[pE1 + pPh]*FAD[{k, m2}, {k - pH, m2}, k - pE1 - pPh]*(GSD[pH]*SPD[pE1, pE1]*SPD[pH, pH] + GSD[-pE1 - pPh]*SPD[pE1, pH]*SPD[pH, pH] + 2*GSD[pH]*SPD[pE1, pPh]*SPD[pH, pH] + + GSD[-pE1 - pPh]*SPD[pH, pH]*SPD[pH, pPh] + GSD[pH]*SPD[pH, pH]*SPD[pPh, pPh] - GSD[pH]*SPD[pE1, pH]*(m2^2 + SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]) - + GSD[-pE1 - pPh]*SPD[pH, pH]*(m2^2 + SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]) - GSD[pH]*SPD[pH, pPh]*(m2^2 + SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]) + + 2*GSD[pH]*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh])))*TC[pH])/ +(2*(m2^2 - m3^2)*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]))) - +(FAD[pE1 + pPh]*FAD[{k, m3}, {k - pH, m2}, k - pE1 - pPh]*(-(GSD[pH]*SPD[pE1, pE1]*(m2^2 - m3^2 - SPD[pH, pH])) - GSD[-pE1 - pPh]*SPD[pE1, pH]*(m2^2 - m3^2 - SPD[pH, pH]) - + 2*GSD[pH]*SPD[pE1, pPh]*(m2^2 - m3^2 - SPD[pH, pH]) - GSD[-pE1 - pPh]*(m2^2 - m3^2 - SPD[pH, pH])*SPD[pH, pPh] - GSD[pH]*(m2^2 - m3^2 - SPD[pH, pH])*SPD[pPh, pPh] - + GSD[pH]*SPD[pE1, pH]*(m3^2 + SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]) - GSD[-pE1 - pPh]*SPD[pH, pH]*(m3^2 + SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]) - + GSD[pH]*SPD[pH, pPh]*(m3^2 + SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]) + + 2*GSD[pH]*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh])))*TC[pH])/ +(2*(m2^2 - m3^2)*((-SPD[pE1, pH] - SPD[pH, pPh])^2 - SPD[pH, pH]*(SPD[pE1, pE1] + 2*SPD[pE1, pPh] + SPD[pPh, pPh]))) - +(CFAD[{{k, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {m2^2 - TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]* +(CGSD[pH]*CSPD[pE1, pH] + CGSD[-pE1 - pPh]*CSPD[pH, pH] + CGSD[pH]*CSPD[pH, pPh])*FAD[pE1 + pPh]*TC[k]*(TC[k] - TC[pE1] - TC[pPh])^2)/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) + +(CFAD[{{k, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k + pH, 0}, {m3^2 - TC[k]^2, -1}, 1}, {{k - pE1 + pH - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]* +(CGSD[pH]*CSPD[pE1, pH] + CGSD[-pE1 - pPh]*CSPD[pH, pH] + CGSD[pH]*CSPD[pH, pPh])*FAD[pE1 + pPh]*TC[k]*(TC[k] - TC[pE1] - TC[pPh])^2)/ +(2*(m2^2 - m3^2)*((-CSPD[pE1, pH] - CSPD[pH, pPh])^2 - CSPD[pH, pH]*(CSPD[pE1, pE1] + 2*CSPD[pE1, pPh] + CSPD[pPh, pPh]))) - +(CFAD[{{k, 0}, {m2^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k - pE1 - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]*FAD[pE1 + pPh]*TC[k]^2*TGA[])/(m2^2 - m3^2) + +(CFAD[{{k, 0}, {m3^2 - TC[k]^2, -1}, 1}, {{k - pH, 0}, {m2^2 - TC[k - pH]^2, -1}, 1}, {{k - pE1 - pPh, 0}, {-TC[k - pE1 - pPh]^2, -1}, 1}]*FAD[pE1 + pPh]*TC[k]^2*TGA[])/(m2^2 - m3^2)"}, {"fcstTID-ID51","TID[DCHN[-GSD[k] + me, Dir3, Dir4] FAD[{k, me}, k - q], k, FCE -> True]","(DCHN[GSD[q], Dir3, Dir4] FAD[{k, me}])/(2 SPD[q, q]) - (1/( 2 SPD[q, q]))*FAD[k, {k - q, me}] (DCHN[GSD[q], Dir3, Dir4] (me^2 - SPD[q, q]) - diff --git a/Tests/LoopIntegrals/ToSFAD.test b/Tests/LoopIntegrals/ToSFAD.test index 8c8414cfc..cbae57f1e 100644 --- a/Tests/LoopIntegrals/ToSFAD.test +++ b/Tests/LoopIntegrals/ToSFAD.test @@ -40,41 +40,41 @@ Tests`LoopIntegrals`ToSFAD = 0, 0, {1, 1}]]"}, {"fcstToSFAD-ID11", "ToSFAD[FCI[FAD[{p,m}]]]", "FeynAmpDenominator[StandardPropagatorDenominator[Momentum[p, D], \ -0, m^2, {1, 1}]]"}, +0, -m^2, {1, 1}]]"}, {"fcstToSFAD-ID12", "ToSFAD[FCI[FAD[{p,m,2}]]]", "FeynAmpDenominator[StandardPropagatorDenominator[Momentum[p, D], \ -0, m^2, {1, 1}], StandardPropagatorDenominator[Momentum[p, D], 0, \ -m^2, {1, 1}]]"}, +0, -m^2, {1, 1}], StandardPropagatorDenominator[Momentum[p, D], 0, \ +-m^2, {1, 1}]]"}, {"fcstToSFAD-ID13", "ToSFAD[FCI[FAD[{p,m},q]]]", "FeynAmpDenominator[StandardPropagatorDenominator[Momentum[p, D], \ -0, m^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], 0, 0, \ +0, -m^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], 0, 0, \ {1, 1}]]"}, {"fcstToSFAD-ID14", "ToSFAD[FCI[FAD[{p,m1},q,{r-q,m2,2}]]]", "FeynAmpDenominator[StandardPropagatorDenominator[Momentum[p, D], \ -0, m1^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], 0, 0, \ +0, -m1^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], 0, 0, \ {1, 1}], StandardPropagatorDenominator[-Momentum[q, D] + Momentum[r, \ -D], 0, m2^2, {1, 1}], StandardPropagatorDenominator[-Momentum[q, D] + \ -Momentum[r, D], 0, m2^2, {1, 1}]]"}, +D], 0, -m2^2, {1, 1}], StandardPropagatorDenominator[-Momentum[q, D] + \ +Momentum[r, D], 0, -m2^2, {1, 1}]]"}, {"fcstToSFAD-ID15", "ToSFAD[FCI[FAD[{p,m},q]FAD[{p,m1},q,{r-q,m2,2}]]]", "FeynAmpDenominator[StandardPropagatorDenominator[Momentum[p, D], \ -0, m^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], 0, 0, \ +0, -m^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], 0, 0, \ {1, 1}]]*FeynAmpDenominator[StandardPropagatorDenominator[Momentum[p, \ -D], 0, m1^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], \ +D], 0, -m1^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], \ 0, 0, {1, 1}], StandardPropagatorDenominator[-Momentum[q, D] + \ -Momentum[r, D], 0, m2^2, {1, 1}], \ +Momentum[r, D], 0, -m2^2, {1, 1}], \ StandardPropagatorDenominator[-Momentum[q, D] + Momentum[r, D], 0, \ -m2^2, {1, 1}]]"}, +-m2^2, {1, 1}]]"}, {"fcstToSFAD-ID16", "ToSFAD[FCI[x+FAD[{p,m},q]FAD[{p,m1},q,{r-q,m2,2}]]]", "x + FeynAmpDenominator[StandardPropagatorDenominator[Momentum[p, \ -D], 0, m^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], 0, \ +D], 0, -m^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, D], 0, \ 0, {1, 1}]]*FeynAmpDenominator[StandardPropagatorDenominator[Momentum[\ -p, D], 0, m1^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, \ +p, D], 0, -m1^2, {1, 1}], StandardPropagatorDenominator[Momentum[q, \ D], 0, 0, {1, 1}], StandardPropagatorDenominator[-Momentum[q, D] + \ -Momentum[r, D], 0, m2^2, {1, 1}], \ +Momentum[r, D], 0, -m2^2, {1, 1}], \ StandardPropagatorDenominator[-Momentum[q, D] + Momentum[r, D], 0, \ -m2^2, {1, 1}]]"}, +-m2^2, {1, 1}]]"}, {"fcstToSFAD-ID17", "ToSFAD[FAD[p, Dimension -> X]]", "SFAD[{{p, 0}, {0, 1}, 1}, Dimension -> X]"} From 3339f6c9d0a61dbc36df809949deb55cd01c4c0c Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 10 Jun 2020 19:40:40 +0200 Subject: [PATCH 73/86] Fixed a bug in FCMultiLoopTID when applied to integrals containing D-4- and 4-dimensional loop momenta (GitHub Issue #52) --- FeynCalc/LoopIntegrals/FCMultiLoopTID.m | 16 +++++----- FeynCalc/LoopIntegrals/Tdec.m | 9 ------ Tests/LoopIntegrals/FCMultiLoopTID.test | 41 ++++++++++++++++++++++++- 3 files changed, 47 insertions(+), 19 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m index a4df906ce..add7b1d86 100644 --- a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m +++ b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m @@ -25,13 +25,6 @@ "Error! FCMultiLoopTID has encountered a fatal problem and must abort the \ computation. The problem reads: `1`" - -FCMultiLoopTID::nomulti = -"Warning! Your input contains 1-loop tensor integrals that depend on the given \ -loop momenta but no multi-loop tensor integrals. FCMultiLoopTID does not perform \ -1-loop tensor decompositions. For that you should use TID. The input expression \ -will not be processed further."; - FCMultiLoopTID::gramzero = "Warning! One of the multi-loop tensor integrals contains vanishing Gram determinants. \ FCMultiLoopTID cannot handle such cases properly."; @@ -70,7 +63,7 @@ FCMultiLoopTID[expr_/;Head[expr]=!=List, qs_List/; FreeQ[qs, OptionQ], OptionsPattern[]] := Block[{ n, ex, rest, loopInts, intsUnique, repRule, solsList, null1, null2, res, tmpli, time, mltidIsolate, optFactoring, - optTimeConstrained, optUncontract}, + optTimeConstrained, optUncontract, pairUncontract, cpairUncontract}, optFactoring = OptionValue[Factoring]; optTimeConstrained = OptionValue[TimeConstrained]; @@ -154,8 +147,13 @@ time=AbsoluteTime[]; FCPrint[1, "FCMultiLoopTID: Uncontracting Lorentz indices.", FCDoControl->mltidVerbose]; + pairUncontract = Join[optUncontract,(Momentum[#, n - 4]&/@qs),(Momentum/@qs)]; + cpairUncontract = Join[optUncontract,(CartesianMomentum[#, n - 4]&/@qs),(CartesianMomentum/@qs)]; + + FCPrint[2, "FCMultiLoopTID: Lorentz vectors to be uncontracted: ", pairUncontract, FCDoControl->mltidVerbose]; + FCPrint[2, "FCMultiLoopTID: Cartesian vectors to be uncontracted: ", cpairUncontract, FCDoControl->mltidVerbose]; - ex = Uncontract[ex, Sequence@@qs, Pair -> optUncontract, CartesianPair-> optUncontract, FCI->True]; + ex = Uncontract[ex, Sequence@@qs, Pair -> pairUncontract, CartesianPair-> cpairUncontract, FCI->True]; If[ !FreeQ[ex,DiracTrace], FCPrint[1, "FCMultiLoopTID: Applying FCTraceExpand.", FCDoControl->mltidVerbose]; diff --git a/FeynCalc/LoopIntegrals/Tdec.m b/FeynCalc/LoopIntegrals/Tdec.m index 2dcb40373..ef6fb30af 100644 --- a/FeynCalc/LoopIntegrals/Tdec.m +++ b/FeynCalc/LoopIntegrals/Tdec.m @@ -50,10 +50,6 @@ "Tdec failed to generate the list of tensors to convert the tensor equation into a \ linear system. Evaluation aborted!"; -Tdec::indices = -"Tdec has detected that the integral contains loop momenta with idential Lorentz indices. \ -Evaluation aborted!"; - Tdec::failmsg = "Error! TID has encountered a fatal problem and must abort the computation. \ The problem reads: `1`" @@ -361,11 +357,6 @@ index lists (via Tuples) is much simpler, as compared to the metric Abort[] ]; - If[Sort[lis]=!=Union[lis], - Message[Tdec::indices]; - Abort[] - ]; - (* detect if we are dealing with a multiloop integral *) If[ Length@Union[mlis]=!=1, multiLoop=True; diff --git a/Tests/LoopIntegrals/FCMultiLoopTID.test b/Tests/LoopIntegrals/FCMultiLoopTID.test index aba511684..95199f634 100644 --- a/Tests/LoopIntegrals/FCMultiLoopTID.test +++ b/Tests/LoopIntegrals/FCMultiLoopTID.test @@ -373,5 +373,44 @@ FCSetDiracGammaScheme[\"NDR\"]; \n tmp", (CFAD[{{P, 0}, {0, -1}, 1}, {{k + P, 0}, {c^2, -1}, 1}]*(c^2 - CSPD[k, k])*CV[k, i])/(2*CSPD[k, k])"}, {"fcstFCMultiLoopTID-ID29", "FCMultiLoopTID[FAD[p, p - q] SPD[p, n], {p}, Uncontract -> {p}, -FCE -> True]","(FAD[p, p - q]*SPD[n, q])/2"} +FCE -> True]","(FAD[p, p - q]*SPD[n, q])/2"}, + + +{"fcstFCMultiLoopTID-ID30", +"FCSetDiracGammaScheme[\"BMHV\"];\n +tmp = FCMultiLoopTID[SPE[q1, q1] SPD[q1, k1] FVE[q1, mu] FAD[q1 - k1, q1, q1], {q1}, +FCE -> True]; \n +FCSetDiracGammaScheme[\"NDR\"]; \n tmp", +"(1/4 FAD[q1, -k1 + q1] FVE[k1, mu] SPE[k1, k1] - (1/(16 (1 - D))) +FAD[q1, q1, -k1 + q1] FVE[k1, mu] SPD[k1, +k1] (2 SPD[k1, k1] - D SPD[k1, k1] + 2 SPE[k1, k1] + D SPE[k1, k1]))"}, +{"fcstFCMultiLoopTID-ID31", +"FCClearScalarProducts[]; \n FCSetDiracGammaScheme[\"BMHV\"];\n +tmp = FCMultiLoopTID[SPE[q1, q1] FAD[q1 - k1, q1, q1], {q1}, FCE -> True]; \n +FCSetDiracGammaScheme[\"NDR\"]; \n tmp", +"((FAD[q1, -k1 + q1] (4 SPD[k1, k1] - D SPD[k1, k1] + 2 SPE[k1, k1] - + D SPE[k1, k1]))/(2 (1 - D) SPD[k1, k1]) - ( +FAD[q1, q1, -k1 + q1] (4 SPD[k1, k1] - D SPD[k1, k1] + + D SPE[k1, k1]))/(4 (1 - D)))"}, +{"fcstFCMultiLoopTID-ID32", +"FCSetDiracGammaScheme[\"BMHV\"];\n +tmp = FCMultiLoopTID[ +SPE[q1, k1] SPE[q2, k1] FVE[q1, \[Mu]] FAD[q1 - k1, q2 + q1, q1, +q2], {q1, q2}, FCE -> True]; \n +FCSetDiracGammaScheme[\"NDR\"]; \n tmp", +"(-((FAD[q1, q1 - q2, -k1 + q2] FVE[k1, \[Mu]] SPE[k1, + k1] (-SPD[k1, k1] + SPE[k1, k1]))/( +2 (1 - D) SPD[k1, k1])) - (1/((1 - D) SPD[k1, k1]^2)) +FAD[q1, q1 - q2, -k1 + q2] FVE[k1, \[Mu]] SPD[q1, q2] SPE[k1, +k1] (-SPD[k1, k1] + + SPE[k1, k1]) - (FAD[q1, q1 - q2, -k1 + q2] FVE[k1, \[Mu]] SPD[k1, + q1] SPE[k1, + k1] (-SPD[k1, k1] + 2 SPE[k1, k1] - D SPE[k1, k1]))/(4 (1 - + D) SPD[k1, k1]^2) + (FAD[q1, q2, q1 - q2, -k1 + q2] FVE[ + k1, \[Mu]] SPD[k1, q1] SPE[k1, + k1] (-3 SPD[k1, k1] + 2 SPE[k1, k1] + D SPE[k1, k1]))/(4 (1 - + D) SPD[k1, k1]) + (FAD[q1, q1 - q2, -k1 + q2] FVE[ + k1, \[Mu]] SPD[k1, q1] SPD[k1, q2] SPE[k1, + k1] (-3 SPD[k1, k1] + 2 SPE[k1, k1] + D SPE[k1, k1]))/(2 (1 - + D) SPD[k1, k1]^3))"} }) From fb9fc9a5935a3f18694d26df1b6076fe67c63e56 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Herm=C3=A8s=20B=C3=89LUSCA=20-=20MA=C3=8FTO?= Date: Wed, 10 Jun 2020 20:04:03 +0200 Subject: [PATCH 74/86] Replace last occurrences of ExpandProductExpand[] by ExpandScalarProduct[]. (#53) --- FeynCalc/LoopIntegrals/FeynmanParametrize1.m | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FeynmanParametrize1.m b/FeynCalc/LoopIntegrals/FeynmanParametrize1.m index 711bea9c3..28aa4a4c7 100644 --- a/FeynCalc/LoopIntegrals/FeynmanParametrize1.m +++ b/FeynCalc/LoopIntegrals/FeynmanParametrize1.m @@ -146,7 +146,7 @@ FCPrint[1,"Added extra parameter names ", par] ]; FCPrint[2,"Simplifying expression"]; - res1 = ExpandProductExpand[FeynAmpDenominatorCombine[exp//. + res1 = ExpandScalarProduct[FeynAmpDenominatorCombine[exp//. (*First flatten out DOT products with Integratedx's*) If[ (Flatten/.Flatten[{opt}]/.Options[FeynmanParametrize1])===True, (b_?(((!FreeQ[#,q])&&FreeQ[#,Integratedx])&))* @@ -190,7 +190,7 @@ efpar=!=epar, (* No integration *) - ExpandProductExpand[Times[rr]/.If[ efpar===fpar, + ExpandScalarProduct[Times[rr]/.If[ efpar===fpar, {}, squarerule ]], @@ -204,7 +204,7 @@ FCPrint[1,"Expanding and replacing tensor terms with integrated terms, using integration momentum ", endrule[[2]], " and coefficient ", co]; (rebug = Replace[ - (undebug = Uncontract[Expand[ExpandProductExpand[ + (undebug = Uncontract[Expand[ExpandScalarProduct[ Times@@Replace[{rr}, E^(_?(!FreeQ[#,qq]&)) -> 1 , 1] /. squarerule]], y[[1]], Pair -> All]), From 790aab5ddbe6c55b130f8a6c3e6f90d96d61580b Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 11 Jun 2020 21:24:25 +0200 Subject: [PATCH 75/86] Additional fixes for FCMultiLoopTID (referring to Issue #52 and Issue #54) --- FeynCalc/LoopIntegrals/FCMultiLoopTID.m | 25 ++++++++++++++----------- FeynCalc/LoopIntegrals/Tdec.m | 2 +- 2 files changed, 15 insertions(+), 12 deletions(-) diff --git a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m index add7b1d86..dc8fbf6b1 100644 --- a/FeynCalc/LoopIntegrals/FCMultiLoopTID.m +++ b/FeynCalc/LoopIntegrals/FCMultiLoopTID.m @@ -63,12 +63,16 @@ FCMultiLoopTID[expr_/;Head[expr]=!=List, qs_List/; FreeQ[qs, OptionQ], OptionsPattern[]] := Block[{ n, ex, rest, loopInts, intsUnique, repRule, solsList, null1, null2, res, tmpli, time, mltidIsolate, optFactoring, - optTimeConstrained, optUncontract, pairUncontract, cpairUncontract}, + optTimeConstrained, optUncontract, nonDmoms, nonDcmoms, + pairUncontract, cpairUncontract}, - optFactoring = OptionValue[Factoring]; - optTimeConstrained = OptionValue[TimeConstrained]; + optFactoring = OptionValue[Factoring]; + optTimeConstrained = OptionValue[TimeConstrained]; + optUncontract = OptionValue[Uncontract]; + n = OptionValue[Dimension]; - optUncontract = OptionValue[Uncontract]; + nonDmoms = Join[(Momentum[#, n - 4] & /@ qs),(Momentum/@ qs)]; + nonDcmoms = Join[(CartesianMomentum[#, n - 4] & /@ qs),(CartesianMomentum/@ qs)]; If [OptionValue[FCVerbose]===False, mltidVerbose=$VeryVerbose, @@ -90,8 +94,6 @@ FCPrint[1,"FCMultiLoopTID: Entering. ", FCDoControl->mltidVerbose]; FCPrint[3,"FCMultiLoopTID: Entering FCMultiLoopTID with: ", ex, FCDoControl->mltidVerbose]; - n = OptionValue[Dimension]; - If[ FreeQ2[ex,qs], Return[ex] ]; @@ -127,7 +129,7 @@ ]; ex = Collect2[ex, qs, Factoring -> optFactoring, TimeConstrained -> optTimeConstrained, IsolateNames -> mltidIsolate] /. - (h: Pair|FeynAmpDenominator)[x__] /; !FreeQ[{x}, q] :> FRH[h[x], IsolateNames->mltidIsolate]; + (h: Pair|FeynAmpDenominator)[x__] /; !FreeQ[{x}, q_]/; MemberQ[qs,q] :> FRH[h[x], IsolateNames->mltidIsolate]; (* Single out relevant loop momenta *) time=AbsoluteTime[]; @@ -147,8 +149,8 @@ time=AbsoluteTime[]; FCPrint[1, "FCMultiLoopTID: Uncontracting Lorentz indices.", FCDoControl->mltidVerbose]; - pairUncontract = Join[optUncontract,(Momentum[#, n - 4]&/@qs),(Momentum/@qs)]; - cpairUncontract = Join[optUncontract,(CartesianMomentum[#, n - 4]&/@qs),(CartesianMomentum/@qs)]; + pairUncontract = Join[optUncontract, nonDmoms]; + cpairUncontract = Join[optUncontract, nonDcmoms]; FCPrint[2, "FCMultiLoopTID: Lorentz vectors to be uncontracted: ", pairUncontract, FCDoControl->mltidVerbose]; FCPrint[2, "FCMultiLoopTID: Cartesian vectors to be uncontracted: ", cpairUncontract, FCDoControl->mltidVerbose]; @@ -185,11 +187,12 @@ CartesianPair[CartesianMomentum[q_],CartesianIndex[i_]]/; MemberQ[qs,q] :> (tmpli=Unique[]; CartesianPair[CartesianMomentum[q,n-1],CartesianIndex[tmpli,n-1]] CartesianPair[CartesianIndex[tmpli],CartesianIndex[i]]) }; - If[ !FreeQ2[ex, {Pair[Momentum[q,n-4],LorentzIndex[_,n-4]],Pair[Momentum[q],LorentzIndex[_]], - CartesianPair[CartesianMomentum[q,n-4],CartesianIndex[_,n-4]],CartesianPair[CartesianMomentum[q],CartesianIndex[_]]}], + + If[ !FreeQ2[ex, Join[nonDmoms,nonDcmoms]], Message[FCMultiLoopTID::failmsg,"Failed to eliminate 4 and D-4 dimensional loop momenta."]; Abort[] ]; + FCPrint[2,"FCMultiLoopTID: Tensor parts after handling 4 and D-4 dimensional loop momenta: ", ex, FCDoControl->mltidVerbose]; FCPrint[1, "FCMultiLoopTID: Done handling 4 and D-4 dimensional loop momenta, timing: ", N[AbsoluteTime[] - time, 4], FCDoControl->mltidVerbose]; ]; diff --git a/FeynCalc/LoopIntegrals/Tdec.m b/FeynCalc/LoopIntegrals/Tdec.m index ef6fb30af..f31e2209e 100644 --- a/FeynCalc/LoopIntegrals/Tdec.m +++ b/FeynCalc/LoopIntegrals/Tdec.m @@ -80,7 +80,7 @@ List -> True, UseParallelization -> True, UseTIDL -> True, - UseFerSolve -> True + UseFerSolve -> False }; SetAttributes[symmMT,Orderless]; From 0b95238a23b5ac48fbfa3634e51772dda4ce5021 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 11 Jun 2020 21:33:23 +0200 Subject: [PATCH 76/86] =?UTF-8?q?Fixed=20inconsistent=20naming=20conventio?= =?UTF-8?q?n:=20NDR-Discard=20was=20called=20NDR-Drop=20in=20multiple=20pl?= =?UTF-8?q?aces=20in=20the=20code=20(thanks=20to=20Herm=C3=A8s=20B=C3=89LU?= =?UTF-8?q?SCA=20-=20MA=C3=8FTO)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- FeynCalc/Changelog.md | 4 +-- FeynCalc/Dirac/Anti5.m | 8 +++--- FeynCalc/Dirac/DiracTrace.m | 2 +- FeynCalc/Dirac/DiracTrick.m | 28 +++++++++---------- .../ReferencePages/Symbols/DiracTrace.nb | 4 +-- .../Symbols/FCSetDiracGammaScheme.nb | 6 ++-- .../ReferencePages/Symbols/DiracTrace.nb | 4 +-- .../Symbols/FCSetDiracGammaScheme.nb | 6 ++-- FeynCalc/FCMain.m | 2 +- Tests/Dirac/DiracTrace.test | 2 +- Tests/Dirac/DiracTrick.test | 8 +++--- 11 files changed, 37 insertions(+), 37 deletions(-) diff --git a/FeynCalc/Changelog.md b/FeynCalc/Changelog.md index c0e6e6601..f8fccb238 100644 --- a/FeynCalc/Changelog.md +++ b/FeynCalc/Changelog.md @@ -20,7 +20,7 @@ FCSetDiracGammaScheme["NDR"] -* Added a new scheme for handling g^5: `"NDR-Drop"`. It is like `"NDR"` but all the remaining traces with one g^5 (that NDR can't evaluate) are set to zero. It is meant to be applied in calculations where we know in advance that g^5 does not pose any issues. (031368f5) +* Added a new scheme for handling g^5: `"NDR-Discard"`. It is like `"NDR"` but all the remaining traces with one g^5 (that NDR can't evaluate) are set to zero. It is meant to be applied in calculations where we know in advance that g^5 does not pose any issues. (031368f5) * Modified `ComplexConjugate` to automatically apply `FCRenameDummyIndices`. This can be turned off using the option named the same way. (d7708286) @@ -979,7 +979,7 @@ function that is probably useful only in very special cases. The syntax is ident * Improved `DiracTrace` to evaluate simple traces before entering the main evaluation function via `DiracTrick`. (d60a0b6b) * Improved `DiracSimplify` not to miss certain contractions. (6a01f4dd) * Allowed `DiracChain` symbols to factor out an overall numerical coefficient. (e71bf706) -* Added additional simplifications in `DiracTrick` for the `NDR-Drop` scheme. (021c5030) +* Added additional simplifications in `DiracTrick` for the `NDR-Discard` scheme. (021c5030) * Added fast mode to `DiracTrace`. (53d2e07a) * Modified `DiracEquation` not to mess up the chiral structure of the input expressions. (43799615) * Refactored `Anti5` to call `DiracTrick` for all g^5-related manipulations. (f3a23a7f) diff --git a/FeynCalc/Dirac/Anti5.m b/FeynCalc/Dirac/Anti5.m index 61000ab99..07f9e6f1d 100644 --- a/FeynCalc/Dirac/Anti5.m +++ b/FeynCalc/Dirac/Anti5.m @@ -193,7 +193,7 @@ anti5MoveRight[r_. ch:holdDOT[___, (DiracGamma[5|6|7] | (_. DiracGamma[6] + _. DiracGamma[7])), d__], Infinity] := r anti5MoveRight[FixedPoint[(# /. chiralTrickAnticommutingDDimRight -> commonGamma5Properties /. commonGamma5Properties -> chiralTrickAnticommutingDDimRight)&, chiralTrickAnticommutingDDimRight@@ch]/. chiralTrickAnticommutingDDimRight->holdDOT, Infinity]/; - MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && FreeQ[r,holdDOT] && + MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && FreeQ[r,holdDOT] && (MatchQ[FCGetDimensions[{d}, FreeQ->{DiracGamma[5],DiracGamma[6],DiracGamma[7]}, ChangeDimension->True],{_Symbol}]); (* -> Limited number of rearrangements *) @@ -201,7 +201,7 @@ r anti5MoveRight[FixedPoint[(# /. chiralTrickAnticommutingDDimRight -> commonGamma5Properties /. commonGamma5Properties -> chiralTrickAnticommutingDDimRight)&, chiralTrickAnticommutingDDimRight@@Join[{b}/. DiracGamma->diga,{ch,c}, {d} /. DiracGamma->diga]]/. chiralTrickAnticommutingDDimRight->holdDOT /.diga->DiracGamma, n+1]/; - MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && FreeQ[r,holdDOT] && (n+1<=max) && + MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && FreeQ[r,holdDOT] && (n+1<=max) && MatchQ[FCGetDimensions[{c}, FreeQ->{DiracGamma[5],DiracGamma[6],DiracGamma[7]}, ChangeDimension->True],{_Symbol}]; (* ------------------------------------------------------------------------------ *) @@ -254,7 +254,7 @@ anti5MoveLeft[r_. ch:holdDOT[d__, (DiracGamma[5|6|7] | (_. DiracGamma[6] + _. DiracGamma[7])), ___], -Infinity] := r anti5MoveLeft[FixedPoint[(# /. chiralTrickAnticommutingDDimLeft -> commonGamma5Properties /. commonGamma5Properties -> chiralTrickAnticommutingDDimLeft)&, chiralTrickAnticommutingDDimLeft@@ch]/. chiralTrickAnticommutingDDimLeft->holdDOT, -Infinity]/; - MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && FreeQ[r,holdDOT] && + MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && FreeQ[r,holdDOT] && (MatchQ[FCGetDimensions[{d}, FreeQ->{DiracGamma[5],DiracGamma[6],DiracGamma[7]}, ChangeDimension->True],{_Symbol}]); (* -> Limited number of rearrangements *) @@ -262,7 +262,7 @@ r anti5MoveLeft[FixedPoint[(# /. chiralTrickAnticommutingDDimLeft -> commonGamma5Properties /. commonGamma5Properties -> chiralTrickAnticommutingDDimLeft)&, chiralTrickAnticommutingDDimLeft@@Join[{b}/. DiracGamma->diga,{c,ch}, {d} /. DiracGamma->diga]]/. chiralTrickAnticommutingDDimLeft->holdDOT /.diga->DiracGamma, n-1]/; - MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && FreeQ[r,holdDOT] && (max<=n-1) && + MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && FreeQ[r,holdDOT] && (max<=n-1) && MatchQ[FCGetDimensions[{c}, FreeQ->{DiracGamma[5],DiracGamma[6],DiracGamma[7]}, ChangeDimension->True],{_Symbol}]; (* ------------------------------------------------------------------------------ *) diff --git a/FeynCalc/Dirac/DiracTrace.m b/FeynCalc/Dirac/DiracTrace.m index c8bd3c231..5905be668 100755 --- a/FeynCalc/Dirac/DiracTrace.m +++ b/FeynCalc/Dirac/DiracTrace.m @@ -399,7 +399,7 @@ traceListChiral = traceListChiral/. spurHead -> noSpur, (* NDR-Discard *) - "NDR-Drop", + "NDR-Discard", traceListChiral = ConstantArray[0, Length[traceListChiral]], (* Larin *) diff --git a/FeynCalc/Dirac/DiracTrick.m b/FeynCalc/Dirac/DiracTrick.m index e490f755a..84fce7dbe 100755 --- a/FeynCalc/Dirac/DiracTrick.m +++ b/FeynCalc/Dirac/DiracTrick.m @@ -313,12 +313,12 @@ create replacement rules (standard) and substitute the results back. diracTrickEvalFast[DOT[x__DiracGamma, DiracGamma[5]]]:= 0/; FreeQ2[{x},{DiracGamma[5],DiracGamma[6],DiracGamma[7]}] && EvenQ[Length[{x}]] && insideDiracTrace && - MatchQ[FCGetDimensions[{x}],{_Symbol}] && (FeynCalc`Package`DiracGammaScheme === "NDR-Drop"); + MatchQ[FCGetDimensions[{x}],{_Symbol}] && (FeynCalc`Package`DiracGammaScheme === "NDR-Discard"); diracTrickEvalFast[DOT[x__DiracGamma, DiracGamma[6|7]]]:= 1/2 diracTrickEvalFast[DOT[x]]/; FreeQ2[{x},{DiracGamma[5],DiracGamma[6],DiracGamma[7]}] && EvenQ[Length[{x}]] && insideDiracTrace && - MatchQ[FCGetDimensions[{x}],{_Symbol}] && (FeynCalc`Package`DiracGammaScheme === "NDR-Drop"); + MatchQ[FCGetDimensions[{x}],{_Symbol}] && (FeynCalc`Package`DiracGammaScheme === "NDR-Discard"); diracTrickEvalFast[DOT[DiracGamma[(arg1:_[_, dim1___]),dim1___], DiracGamma[(arg2:_[_, dim2___]), dim2___]]] := FCUseCache[ExpandScalarProduct,{PairContract[arg1,arg2] /. PairContract->Pair},{}]/; insideDiracTrace; @@ -381,39 +381,39 @@ create replacement rules (standard) and substitute the results back. diracTrickEvalFast[DOT[b___,DiracGamma[5], c:DiracGamma[_[_,_],_].. , d___]] := - (-1)^Length[{c}] diracTrickEvalFast[DOT[ b,c,DiracGamma[5],d]]/; MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && + (-1)^Length[{c}] diracTrickEvalFast[DOT[ b,c,DiracGamma[5],d]]/; MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && MatchQ[FCGetDimensions[{c}],{_Symbol}]; diracTrickEvalFast[DOT[b___,DiracGamma[(h:6|7)], c:DiracGamma[_[_,_],_].. ,d___]] := - diracTrickEvalFast[DOT[ b,c,DiracGamma[h],d]]/; EvenQ[Length[{c}]] && MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && + diracTrickEvalFast[DOT[ b,c,DiracGamma[h],d]]/; EvenQ[Length[{c}]] && MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && MatchQ[FCGetDimensions[{c}],{_Symbol}]; diracTrickEvalFast[DOT[b___,DiracGamma[(h:6|7)], c:DiracGamma[_[_,_],_].. ,d___]] := - diracTrickEvalFast[DOT[ b,c,DiracGamma[ga67Switch1[h]],d]]/; OddQ[Length[{c}]] && MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && + diracTrickEvalFast[DOT[ b,c,DiracGamma[ga67Switch1[h]],d]]/; OddQ[Length[{c}]] && MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && MatchQ[FCGetDimensions[{c}],{_Symbol}]; diracTrickEvalFast[DOT[___,DiracGamma[(h:6|7)],DiracGamma[_[_,_],_], DiracGamma[(h:6|7)], ___]] := - 0/; MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme]; + 0/; MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme]; diracTrickEvalFast[DOT[b___,DiracGamma[(h1:6|7)],(dg:DiracGamma[_[_,_],_]), DiracGamma[(h2:6|7)], c___]] := - diracTrickEvalFast[DOT[b, dg, DiracGamma[h2], c]]/; h1=!=h2 && MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && + diracTrickEvalFast[DOT[b, dg, DiracGamma[h2], c]]/; h1=!=h2 && MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && MatchQ[FCGetDimensions[{dg}],{_Symbol}]; diracTrickEvalFast[DOT[b___, DiracGamma[(h1:6|7)],(dg:DiracGamma[_[_,_],_]), xy:DiracGamma[_[_] ].. , DiracGamma[(h2:6|7)], c___]] := - diracTrickEvalFast[DOT[b, dg, xy, DiracGamma[h2], c]]/; EvenQ[Length[{xy}]] && h1=!=h2 && MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && + diracTrickEvalFast[DOT[b, dg, xy, DiracGamma[h2], c]]/; EvenQ[Length[{xy}]] && h1=!=h2 && MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && MatchQ[FCGetDimensions[{dg,xy}],{_Symbol}]; diracTrickEvalFast[DOT[___, DiracGamma[(h:6|7)],(dg:DiracGamma[_[_,_],_]), xy:DiracGamma[_[_] ].. , DiracGamma[(h:6|7)], ___]] := - 0/; EvenQ[Length[{xy}]] && MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && + 0/; EvenQ[Length[{xy}]] && MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && MatchQ[FCGetDimensions[{dg,xy}],{_Symbol}]; diracTrickEvalFast[DOT[___, DiracGamma[(h1:6|7)],(dg:DiracGamma[_[_,_],_]), xy:DiracGamma[_[_,_],_].. , DiracGamma[(h2:6|7)], ___]] := - 0/; OddQ[Length[{xy}]] && h1=!=h2 && MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && + 0/; OddQ[Length[{xy}]] && h1=!=h2 && MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && MatchQ[FCGetDimensions[{dg,xy}],{_Symbol}]; diracTrickEvalFast[DOT[b___, DiracGamma[(h:6|7)],(dg:DiracGamma[_[_,_],_]), xy:DiracGamma[_[_,_],_].. , DiracGamma[(h:6|7)], c___]] := - diracTrickEvalFast[DOT[b, dg, xy, DiracGamma[h], c]]/; OddQ[Length[{xy}]] && MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && + diracTrickEvalFast[DOT[b, dg, xy, DiracGamma[h], c]]/; OddQ[Length[{xy}]] && MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && MatchQ[FCGetDimensions[{dg,xy}],{_Symbol}]; @@ -459,7 +459,7 @@ create replacement rules (standard) and substitute the results back. diracTrickEval[ex_/;Head[ex]=!=DiracGamma]:= Which[ (* NDR, inside Trace *) - MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme] && insideDiracTrace, + MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme] && insideDiracTrace, diracTrickEvalCachedNDRInsideTrace[ex], (* Larin, inside Trace *) (FeynCalc`Package`DiracGammaScheme === "Larin") && insideDiracTrace, @@ -468,7 +468,7 @@ create replacement rules (standard) and substitute the results back. (FeynCalc`Package`DiracGammaScheme === "BMHV") && insideDiracTrace, diracTrickEvalCachedBMHVInsideTrace[ex], (* NDR *) - MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme], + MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme], diracTrickEvalCachedNDR[ex], (* Larin *) (FeynCalc`Package`DiracGammaScheme === "Larin"), @@ -587,7 +587,7 @@ create replacement rules (standard) and substitute the results back. commonGamma5Properties -> chiralTrickAnticommuting4DimRight)&,res]; res = res /. chiralTrickAnticommuting4DimRight -> holdDOT, (* Purely D-dimensional and NDR -> use anticommuting g^5 *) - MatchQ[dim,{_Symbol}] && MemberQ[{"NDR","NDR-Drop"},FeynCalc`Package`DiracGammaScheme], + MatchQ[dim,{_Symbol}] && MemberQ[{"NDR","NDR-Discard"},FeynCalc`Package`DiracGammaScheme], FCPrint[2, "DiracTrick: diracTrickEval: Purely D-dim, NDR.", FCDoControl->diTrVerbose]; res = res /. holdDOT -> chiralTrickAnticommutingDDimRight; res = FixedPoint[(# /. chiralTrickAnticommutingDDimRight -> commonGamma5Properties /. diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrace.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrace.nb index 573949ebc..d0869aa17 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrace.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrace.nb @@ -2710,14 +2710,14 @@ Cell[TextData[{ Cell[BoxData[ SuperscriptBox["\[Gamma]", "5"]], "InlineFormula"], " ", - " do not contribute to your final result, use the new NDR-Drop scheme to put \ + " do not contribute to your final result, use the new NDR-Discard scheme to put \ them to zero" }], "ExampleText", CellID->2003592022], Cell[BoxData[ RowBox[{ - RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}], + RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}], ";"}]], "Input", CellLabel->"In[1]:="], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb index d9e7d8eb1..13e9d93a1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb @@ -434,12 +434,12 @@ Cell[BoxData[ Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}]], "Input", + RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}]], "Input", CellLabel->"In[4]:=", CellID->1854871493], Cell[BoxData[ - FormBox["\<\"NDR-Drop\"\>", TraditionalForm]], "Output", + FormBox["\<\"NDR-Discard\"\>", TraditionalForm]], "Output", ImageSize->{75, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, @@ -448,7 +448,7 @@ Cell[BoxData[ }, Open ]], Cell["\<\ -If you know that such traces do not contribute, use NDR-Drop scheme to put \ +If you know that such traces do not contribute, use NDR-Discard scheme to put \ them to zero\ \>", "ExampleText", CellID->2003592022], diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/DiracTrace.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/DiracTrace.nb index 204bd7abf..b624e4a22 100644 --- a/FeynCalc/DocSource/English/ReferencePages/Symbols/DiracTrace.nb +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/DiracTrace.nb @@ -6623,14 +6623,14 @@ Cell[TextData[{ Cell[BoxData[ SuperscriptBox["\[Gamma]", "5"]], "InlineFormula"], " ", - " do not contribute to your final result, use the new NDR-Drop scheme to put \ + " do not contribute to your final result, use the new NDR-Discard scheme to put \ them to zero" }], "ExampleText", CellID->2003592022], Cell[BoxData[ RowBox[{ - RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}], + RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}], ";"}]], "Input", CellLabel->"In[132]:="], diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb index d170b4fde..611744c1a 100644 --- a/FeynCalc/DocSource/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb @@ -472,14 +472,14 @@ Cell[BoxData[ Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}]], "Input", + RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}]], "Input", CellChangeTimes->{{3.777993466463647*^9, 3.7779934668019953`*^9}, { 3.777994158092473*^9, 3.777994158893331*^9}}, CellLabel->"In[75]:=", CellID->1854871493], Cell[BoxData[ - FormBox["\<\"NDR-Drop\"\>", TraditionalForm]], "Output", + FormBox["\<\"NDR-Discard\"\>", TraditionalForm]], "Output", CellChangeTimes->{ 3.7779934671030617`*^9, 3.77799415937857*^9, {3.777994215442657*^9, 3.777994221003694*^9}}, @@ -488,7 +488,7 @@ Cell[BoxData[ }, Open ]], Cell["\<\ -If you know that such traces do not contribute, use NDR-Drop scheme to put \ +If you know that such traces do not contribute, use NDR-Discard scheme to put \ them to zero\ \>", "ExampleText", CellChangeTimes->{{3.77799361089997*^9, 3.7779936391985693`*^9}, { diff --git a/FeynCalc/FCMain.m b/FeynCalc/FCMain.m index 4d85e7597..7bceeee40 100644 --- a/FeynCalc/FCMain.m +++ b/FeynCalc/FCMain.m @@ -484,7 +484,7 @@ set to something else (Dot), this works only if DOT is in FCSetDiracGammaScheme[s_String]:= - If[ MatchQ[s,"NDR"|"NDR-Drop"|"BMHV"|"Larin"], + If[ MatchQ[s,"NDR"|"NDR-Discard"|"BMHV"|"Larin"], FeynCalc`Package`DiracGammaScheme = s, Message[FeynCalc::failmsg, "Unknown scheme for Dirac matrices in D dimensions."]; Abort[] diff --git a/Tests/Dirac/DiracTrace.test b/Tests/Dirac/DiracTrace.test index 9043f33f0..411ca59b6 100644 --- a/Tests/Dirac/DiracTrace.test +++ b/Tests/Dirac/DiracTrace.test @@ -242,7 +242,7 @@ tmp = (DiracTrace[GAD[i1, i2, i3].GA[6].GAD[i5, i6, i7].GA[6], DiracTrace[GAD[i1, i2, i3].((1 + GA[5])/2).GAD[i5, i6, i7].((1 + GA[5])/2), DiracTraceEvaluate -> True]); FCSetDiracGammaScheme[\"NDR\"];\n tmp","0"}, {"fcstDiracTrace-ID46", -"FCSetDiracGammaScheme[\"NDR-Drop\"]; +"FCSetDiracGammaScheme[\"NDR-Discard\"]; tmp = (DiracTrace[GAD[i1, i2, i3,5,i5, i6, i7], DiracTraceEvaluate -> True]); FCSetDiracGammaScheme[\"NDR\"];\n tmp","0"}, {"fcstDiracTrace-ID47", "DiracTrace[DOT[1, 0], DiracTraceEvaluate -> True]","0"}, diff --git a/Tests/Dirac/DiracTrick.test b/Tests/Dirac/DiracTrick.test index ec8d27ffe..b9bab9615 100644 --- a/Tests/Dirac/DiracTrick.test +++ b/Tests/Dirac/DiracTrick.test @@ -1222,15 +1222,15 @@ Tests`Dirac`fcstDiracTrick = { {"fcstDiracTrick-ID28","DiracTrick[GAD[mu, 7].GSD[p1 - q].GAD[nu, rho, 6], InsideDiracTrace -> True, Evaluate -> False, FCE -> True]", "GAD[mu].GSD[p1 - q].GAD[nu].GAD[rho].GA[6]"}, -{"fcstDiracTrick-ID29","FCSetDiracGammaScheme[\"NDR-Drop\"]; \n +{"fcstDiracTrick-ID29","FCSetDiracGammaScheme[\"NDR-Discard\"]; \n tmp = DiracTrick[GAD[mu, nu, rho, si, 5], InsideDiracTrace -> True, Evaluate -> False]; \n FCSetDiracGammaScheme[\"NDR\"]; \n tmp", "0"}, -{"fcstDiracTrick-ID30","FCSetDiracGammaScheme[\"NDR-Drop\"]; \n +{"fcstDiracTrick-ID30","FCSetDiracGammaScheme[\"NDR-Discard\"]; \n tmp = DiracTrick[GAD[mu, nu, rho, si, 6], InsideDiracTrace -> True, Evaluate -> False, FCE -> True]; \n FCSetDiracGammaScheme[\"NDR\"]; \n tmp", "1/2 GAD[mu].GAD[nu].GAD[rho].GAD[si]"}, -{"fcstDiracTrick-ID31","FCSetDiracGammaScheme[\"NDR-Drop\"]; \n +{"fcstDiracTrick-ID31","FCSetDiracGammaScheme[\"NDR-Discard\"]; \n tmp = DiracTrick[GAD[mu, nu, rho, si, 6], InsideDiracTrace -> True, Evaluate -> False, FCE -> True]; \n FCSetDiracGammaScheme[\"NDR\"]; \n tmp", "1/2 GAD[mu].GAD[nu].GAD[rho].GAD[si]"} @@ -1767,7 +1767,7 @@ InsideDiracTrace -> True] // FCE", InsideDiracTrace -> True] // FCE", "4 SP[q, 2 p + q]"}, {"fcstDiracTrickInsideDiracTrace-ID32", -"FCSetDiracGammaScheme[\"NDR-Drop\"]; \n +"FCSetDiracGammaScheme[\"NDR-Discard\"]; \n tmp = DiracTrick[GA[5].GS[pp1].GA[5], InsideDiracTrace -> True]; \n FCSetDiracGammaScheme[\"NDR\"]; \n tmp","0"} }); From 8d2a03b8772e07730e4c30efa14fa639f94a252d Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Thu, 11 Jun 2020 22:03:42 +0200 Subject: [PATCH 77/86] Reintroduced the check against indentical Lorentz indices in Tdec (cf. Issue #52) --- FeynCalc/LoopIntegrals/Tdec.m | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/FeynCalc/LoopIntegrals/Tdec.m b/FeynCalc/LoopIntegrals/Tdec.m index f31e2209e..872236254 100644 --- a/FeynCalc/LoopIntegrals/Tdec.m +++ b/FeynCalc/LoopIntegrals/Tdec.m @@ -357,6 +357,12 @@ index lists (via Tuples) is much simpler, as compared to the metric Abort[] ]; + (* One of the examples why this is needed: Tdec[{{l, mu1}, {l, mu1}, {l, mu3}}, {p}] *) + If[Sort[lis]=!=Union[lis], + Message[Tdec::failmsg, "Loop momenta with identical indices cannot be handled correctly."]; + Abort[] + ]; + (* detect if we are dealing with a multiloop integral *) If[ Length@Union[mlis]=!=1, multiLoop=True; From fade31682133d2b01f2a7d619151355c0699beb5 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Wed, 17 Jun 2020 11:02:53 +0200 Subject: [PATCH 78/86] Fixed a small bug in FCPrepareFAAmp. --- FeynCalc/Feynman/FCPrepareFAAmp.m | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/FeynCalc/Feynman/FCPrepareFAAmp.m b/FeynCalc/Feynman/FCPrepareFAAmp.m index 1289f09cd..848f16886 100644 --- a/FeynCalc/Feynman/FCPrepareFAAmp.m +++ b/FeynCalc/Feynman/FCPrepareFAAmp.m @@ -112,7 +112,8 @@ SUNF[a,b,tempvar]SUNF[tempvar,c,d]), Global`FASUNF[a_,b_,c_] :> SUNF[a,b,c], Global`dSUN[a_,b_,c_] :> SUND[a,b,c], - Global`FASUNT :> SUNTF, + Global`FASUNT[a_,b_,c_,d_] :> SUNTF[{a,b},c,d], + Global`FASUNT[a_,b_,c_] :> SUNTF[a,b,c], FeynArts`IndexDelta[a: (_SUNFIndex| _ExplicitSUNFIndex), b:(_SUNFIndex| _ExplicitSUNFIndex)]:> SUNFDelta[a,b], FeynArts`IndexDelta[a: (_SUNIndex| _ExplicitSUNIndex), b:(_SUNIndex| _ExplicitSUNIndex)]:> SUNDelta[a,b], FeynArts`FAFeynAmp :> FeynAmp, From d6b36eb262f1518ab24832c318996f24c7a2990b Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 20 Jun 2020 17:06:40 +0200 Subject: [PATCH 79/86] Added an extra unit test for DiracSimplify. --- Tests/Dirac/DiracSimplify.test | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/Tests/Dirac/DiracSimplify.test b/Tests/Dirac/DiracSimplify.test index f3da4c0ed..e3898998d 100644 --- a/Tests/Dirac/DiracSimplify.test +++ b/Tests/Dirac/DiracSimplify.test @@ -451,7 +451,10 @@ MT[al,tau] MT[be,rho]]", "True"}, SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]16 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[7].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[6].Spinor[Momentum[p4],m4,1] \ -MT[al,tau] MT[be,rho]]", "True"} +MT[al,tau] MT[be,rho]]", "True"}, +{"fcstDiracSimplifySirlin-ID27", +"DiracSimplify[GAD[mu].(GSD[p + q] + m).GAD[mu]]", +"D m + 2 GSD[p] - D GSD[p] + 2 GSD[q] - D GSD[q]"} }); From 81f32816725e08be6ded140b0846f8142ce491a0 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 20 Jun 2020 17:23:17 +0200 Subject: [PATCH 80/86] Improved the documentation on DiracSimplify. --- .../ReferencePages/Symbols/DiracSimplify.nb | 923 +++++++++++++++++- Tests/Dirac/DiracSimplify.test | 10 +- 2 files changed, 913 insertions(+), 20 deletions(-) diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/DiracSimplify.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/DiracSimplify.nb index 83526b0a7..0d470bf7c 100644 --- a/FeynCalc/DocSource/English/ReferencePages/Symbols/DiracSimplify.nb +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/DiracSimplify.nb @@ -5078,20 +5078,18 @@ Cell[BoxData[ FormBox[ RowBox[{ StyleBox[ - RowBox[{"DiracTrace", "::", "mixmsg"}], "MessageName"], - RowBox[{ - ":", " "}], "\<\"Expressions that mix D-, 4- and D-4-dimensional \ -quantities are forbidden in Dirac matrix chains unless you are using the \ -t'Hooft-Veltman scheme. For every other scheme, please recheck your input \ -expressions and ensure that all matrices, spinors and tensors are purely \ -D-dimensional. You might want to use FCGetDimensions[exp] to find the \ -offending terms and fix them by hand or ChangeDimension[exp,D] to convert the \ -whole expression to D-dimensions. If you explicitly intend to use the \ -t'Hooft-Veltman scheme, please activate it via FCSetDiracGammaScheme[\\\"BMHV\ -\\\"]. \\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", \ -ButtonStyle->\\\"Link\\\", ButtonFrame->None, \ -ButtonData:>\\\"paclet:FeynCalc/ref/DiracTrace\\\", ButtonNote -> \ -\\\"FeynCalc`DiracTrace::mixmsg\\\"]\\)\"\>"}], + RowBox[{"DiracTrace", "::", "mixmsg"}], "MessageName"], ":", + " ", "\<\"Expressions that mix D-, 4- and D-4-dimensional quantities are \ +forbidden in Dirac matrix chains unless you are using the t'Hooft-Veltman \ +scheme. For every other scheme, please recheck your input expressions and \ +ensure that all matrices, spinors and tensors are purely D-dimensional. You \ +might want to use FCGetDimensions[exp] to find the offending terms and fix \ +them by hand or ChangeDimension[exp,D] to convert the whole expression to \ +D-dimensions. If you explicitly intend to use the t'Hooft-Veltman scheme, \ +please activate it via FCSetDiracGammaScheme[\\\"BMHV\\\"]. \ +\\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", \ +ButtonFrame->None, ButtonData:>\\\"paclet:FeynCalc/ref/DiracTrace\\\", \ +ButtonNote -> \\\"FeynCalc`DiracTrace::mixmsg\\\"]\\)\"\>"}], TraditionalForm]], "Message", "MSG", CellLabel->"During evaluation of In[187]:="], @@ -6579,6 +6577,901 @@ Cell[BoxData[ TraditionalForm]}]]}]}], TraditionalForm]], "Output", CellLabel->"Out[205]="] }, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + +Cell[TextData[{ + "For performance reasons ", + ButtonBox["DiracSimplify", + BaseStyle->"Link", + ButtonData:>"paclet:FeynCalc/ref/DiracSimplify", + ButtonNote->"DiracSimplify"], + " will not canonically order Dirac matrices and canonicalize \ +Lorentz/Cartesian indices by default. However, amplitudes involving 4-fermion \ +operators may require such additional simplifications. In this case they \ +should explicitly activated by the user. Of course, this will somewhat slow \ +down the evaluation." +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex", "=", + RowBox[{ + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"-", + RowBox[{"Momentum", "[", + RowBox[{"p1", ",", "D"}], "]"}]}], ",", "mb", ",", "1"}], "]"}], ".", + + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GA", "[", "7", "]"}], ".", + RowBox[{"GAD", "[", "\[Nu]", "]"}], ".", + RowBox[{"GAD", "[", "\[Alpha]", "]"}], ".", + RowBox[{"GAD", "[", "\[Beta]", "]"}], ".", + RowBox[{"GAD", "[", "\[Delta]", "]"}], ".", + RowBox[{"GA", "[", "7", "]"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"-", + RowBox[{"Momentum", "[", + RowBox[{"p4", ",", "D"}], "]"}]}], ",", "0", ",", "1"}], "]"}]}], " ", + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p3", ",", "D"}], "]"}], ",", "0", ",", "1"}], "]"}], ".", + RowBox[{"GAD", "[", "\[Alpha]", "]"}], ".", + RowBox[{"GAD", "[", "\[Beta]", "]"}], ".", + RowBox[{"GAD", "[", "\[Delta]", "]"}], ".", + RowBox[{"GA", "[", "7", "]"}], ".", + RowBox[{"GAD", "[", "\[Nu]", "]"}], ".", + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GA", "[", "7", "]"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p2", ",", "D"}], "]"}], ",", "0", ",", "1"}], + "]"}]}]}]}]], "Input", + CellLabel->"In[15]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[15]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", "ex", "]"}]], "Input", + CellLabel->"In[16]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[16]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", + RowBox[{"ex", ",", + RowBox[{"DiracOrder", "\[Rule]", "True"}], ",", + RowBox[{"LorentzIndexNames", "\[Rule]", + RowBox[{"{", + RowBox[{"i1", ",", "i2", ",", "i3", ",", "i4", ",", "i5"}], "}"}]}]}], + "]"}]], "Input", + CellLabel->"In[17]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{"24", " ", + SuperscriptBox["D", "2"], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], "+", + RowBox[{"14", " ", "D", " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "+", + RowBox[{"112", " ", "D", " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i4", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i5", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i4", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i5", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{"36", " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{"64", " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[17]="] +}, Open ]] }, Open ]] }, Open ]], @@ -6643,7 +7536,7 @@ Cell[BoxData[ }, Open ]] }, WindowSize->{894, 989}, -WindowMargins->{{Automatic, 210}, {Automatic, -8}}, +WindowMargins->{{Automatic, 200}, {Automatic, -8}}, Visible->True, PrivateNotebookOptions->{"FileOutlineCache"->False}, CreateCellID->False, diff --git a/Tests/Dirac/DiracSimplify.test b/Tests/Dirac/DiracSimplify.test index e3898998d..a4bede17e 100644 --- a/Tests/Dirac/DiracSimplify.test +++ b/Tests/Dirac/DiracSimplify.test @@ -224,7 +224,10 @@ Spinor[-Momentum[p1, D], mb, 1].GAD[i1].GAD[i2].GAD[i3].GAD[i4].GAD[ 6]], FCE -> True]", "(16 e^4 SP[k1, p2] SP[k2, p1])/s^2"}, {"fcstDiracSimplify-ID45","DiracSimplify[{GS[p, p].GA[mu], GS[p].GA[mu].GS[p]}, FCE -> True]", -"{GA[mu] SP[p, p], 2 FV[p, mu] GS[p] - GA[mu] SP[p, p]}"} +"{GA[mu] SP[p, p], 2 FV[p, mu] GS[p] - GA[mu] SP[p, p]}"}, +{"fcstDiracSimplify-ID46", +"DiracSimplify[GAD[mu].(GSD[p + q] + m).GAD[mu],FCE->True]", +"D m + 2 GSD[p] - D GSD[p] + 2 GSD[q] - D GSD[q]"} }; @@ -451,10 +454,7 @@ MT[al,tau] MT[be,rho]]", "True"}, SpinorU[p4,m4],FCE\[Rule]True,SirlinSimplify->True],\[IndentingNewLine]16 \ Spinor[Momentum[p3],m3,1].GA[a_].GA[7].Spinor[Momentum[p1],m1,1] \ Spinor[Momentum[p4],m4,1].GA[a_].GA[6].Spinor[Momentum[p4],m4,1] \ -MT[al,tau] MT[be,rho]]", "True"}, -{"fcstDiracSimplifySirlin-ID27", -"DiracSimplify[GAD[mu].(GSD[p + q] + m).GAD[mu]]", -"D m + 2 GSD[p] - D GSD[p] + 2 GSD[q] - D GSD[q]"} +MT[al,tau] MT[be,rho]]", "True"} }); From b065bae9648755a0818d7bb94622a7c9fcae4da5 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 20 Jun 2020 17:27:33 +0200 Subject: [PATCH 81/86] Changed version number to 9.3.1 for the upcoming release. --- FeynCalc/Examples/EW/OneLoop/H-GG.m | 2 +- FeynCalc/Examples/EW/Tree/AnelEl-AnmuMu.m | 2 +- FeynCalc/Examples/EW/Tree/AnelEl-WW.m | 2 +- FeynCalc/Examples/EW/Tree/AnelEl-ZZ.m | 2 +- FeynCalc/Examples/EW/Tree/ElNmu-MuNel.m | 2 +- FeynCalc/Examples/EW/Tree/H-FFbar.m | 2 +- FeynCalc/Examples/EW/Tree/H-WW.m | 2 +- FeynCalc/Examples/EW/Tree/H-ZZ.m | 2 +- FeynCalc/Examples/EW/Tree/Mu-ElAnelNmu.m | 2 +- FeynCalc/Examples/EW/Tree/NleQdt-LeQut.m | 2 +- FeynCalc/Examples/EW/Tree/QQbar-ZZ.m | 2 +- FeynCalc/Examples/EW/Tree/Qt-QbW.m | 2 +- FeynCalc/Examples/EW/Tree/QuQdbar-AelNel.m | 2 +- FeynCalc/Examples/EW/Tree/QutbarQdt-NelAnel.m | 2 +- FeynCalc/Examples/EW/Tree/W-ElAnel.m | 2 +- FeynCalc/Examples/EW/Tree/W-QiQjbar.m | 2 +- FeynCalc/Examples/EW/Tree/Z-FFbar.m | 2 +- .../FeynRules/EulerHeisenberg/ValidateModelEulerHeisenberg.m | 2 +- FeynCalc/Examples/FeynRules/QCD/ValidateModelQCD.m | 2 +- FeynCalc/Examples/FeynRules/QCDBGF/ValidateModelQCDBGF.m | 2 +- FeynCalc/Examples/FeynRules/QED/ValidateModelQED.m | 2 +- FeynCalc/Examples/MSSM/Tree/MnelEl-MnelEl.m | 2 +- FeynCalc/Examples/Phi3/OneLoop/Renormalization.m | 2 +- FeynCalc/Examples/Phi4/OneLoop/PhiPhi-PhiPhi.m | 2 +- FeynCalc/Examples/Phi4/OneLoop/Renormalization.m | 2 +- FeynCalc/Examples/QCD/OneLoop/Gh-Gh.m | 2 +- FeynCalc/Examples/QCD/OneLoop/GhGl-Gh.m | 2 +- FeynCalc/Examples/QCD/OneLoop/Gl-Gl-BackgroundFieldGauge.m | 2 +- FeynCalc/Examples/QCD/OneLoop/Gl-Gl.m | 2 +- FeynCalc/Examples/QCD/OneLoop/Gl-GlGl.m | 2 +- FeynCalc/Examples/QCD/OneLoop/Q-Q.m | 2 +- FeynCalc/Examples/QCD/OneLoop/Renormalization.m | 2 +- FeynCalc/Examples/QCD/OneLoop/RenormalizationMassless.m | 2 +- FeynCalc/Examples/QCD/Tree/ElAel-QQbar.m | 2 +- FeynCalc/Examples/QCD/Tree/Ga-QQbar.m | 2 +- FeynCalc/Examples/QCD/Tree/Ga-QQbarGl.m | 2 +- FeynCalc/Examples/QCD/Tree/GaGl-QQbar.m | 2 +- FeynCalc/Examples/QCD/Tree/GlGl-GlGl.m | 2 +- FeynCalc/Examples/QCD/Tree/GlGl-QQbar.m | 2 +- FeynCalc/Examples/QCD/Tree/MuAmu-QQbar.m | 2 +- FeynCalc/Examples/QCD/Tree/QGa-GlQ.m | 2 +- FeynCalc/Examples/QCD/Tree/QGl-QGl-2.m | 2 +- FeynCalc/Examples/QCD/Tree/QGl-QGl.m | 2 +- FeynCalc/Examples/QCD/Tree/QQbar-ElAel.m | 2 +- FeynCalc/Examples/QCD/Tree/QQbar-GaGa.m | 2 +- FeynCalc/Examples/QCD/Tree/QQbar-GaGl.m | 2 +- FeynCalc/Examples/QCD/Tree/QQbar-GlGl-2.m | 2 +- FeynCalc/Examples/QCD/Tree/QQbar-GlGl.m | 2 +- FeynCalc/Examples/QCD/Tree/QQbar-MuAmu.m | 2 +- FeynCalc/Examples/QCD/Tree/QiQi-QiQi.m | 2 +- FeynCalc/Examples/QCD/Tree/QiQibar-QiQibar.m | 2 +- FeynCalc/Examples/QCD/Tree/QiQibar-QjQjbar.m | 2 +- FeynCalc/Examples/QCD/Tree/QiQj-QiQj.m | 2 +- FeynCalc/Examples/QCD/Tree/QiQjbar-QiQjbar.m | 2 +- FeynCalc/Examples/QCD/TwoLoops/Gh-Gh.m | 2 +- FeynCalc/Examples/QED/OneLoop/El-El.m | 2 +- FeynCalc/Examples/QED/OneLoop/El-GaEl.m | 2 +- FeynCalc/Examples/QED/OneLoop/ElAel-ElAel.m | 2 +- FeynCalc/Examples/QED/OneLoop/ElAel-MuAmu.m | 2 +- FeynCalc/Examples/QED/OneLoop/Ga-Ga.m | 2 +- FeynCalc/Examples/QED/OneLoop/Ga-GaGa.m | 2 +- FeynCalc/Examples/QED/OneLoop/Ga-GaGaGaGa.m | 2 +- FeynCalc/Examples/QED/OneLoop/Ga.m | 2 +- FeynCalc/Examples/QED/OneLoop/PiToGaGa.m | 2 +- FeynCalc/Examples/QED/OneLoop/Renormalization.m | 2 +- FeynCalc/Examples/QED/Tree/ElAel-ElAel.m | 2 +- FeynCalc/Examples/QED/Tree/ElAel-GaGa.m | 2 +- FeynCalc/Examples/QED/Tree/ElAel-MuAmu.m | 2 +- FeynCalc/Examples/QED/Tree/ElEl-ElEl.m | 2 +- FeynCalc/Examples/QED/Tree/ElGa-ElGa.m | 2 +- FeynCalc/Examples/QED/Tree/ElMu-ElMu.m | 2 +- FeynCalc/Examples/QED/Tree/Ga-MuAmu.m | 2 +- FeynCalc/FeynCalc.m | 2 +- FeynCalc/PacletInfo.m | 2 +- 74 files changed, 74 insertions(+), 74 deletions(-) diff --git a/FeynCalc/Examples/EW/OneLoop/H-GG.m b/FeynCalc/Examples/EW/OneLoop/H-GG.m index 853a260f0..401826ed7 100644 --- a/FeynCalc/Examples/EW/OneLoop/H-GG.m +++ b/FeynCalc/Examples/EW/OneLoop/H-GG.m @@ -35,7 +35,7 @@ < "FeynCalc", - Version -> "9.3.0", + Version -> "9.3.1", MathematicaVersion -> "8+", Description -> "FeynCalc is a Mathematica package for symbolic evaluation of Feynman diagrams and algebraic calculations in quantum field theory and elementary particle physics.", Creator -> "Rolf Mertig, Frederik Orellana, Vladyslav Shtabovenko", From 3f380262393be223351649242329f06c3a31d242 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 20 Jun 2020 18:07:59 +0200 Subject: [PATCH 82/86] Added a more complete tutorial to the documentation. --- FeynCalc/DocSource/English/Tutorials/Intro.nb | 71244 +++++++++++++++- 1 file changed, 71242 insertions(+), 2 deletions(-) diff --git a/FeynCalc/DocSource/English/Tutorials/Intro.nb b/FeynCalc/DocSource/English/Tutorials/Intro.nb index c7b48300f..3e4a26b65 100644 --- a/FeynCalc/DocSource/English/Tutorials/Intro.nb +++ b/FeynCalc/DocSource/English/Tutorials/Intro.nb @@ -745,6 +745,71246 @@ Cell[BoxData[ Cell[CellGroupData[{ +Cell["Internal vs. External Representations", "Section"], + +Cell[CellGroupData[{ + +Cell["FeynCalcInternal", "Subsection"], + +Cell[CellGroupData[{ + +Cell["\<\ +The internal representation (FeynCalcIntenral or FCI) is how FeynCalc \ +internally \[OpenCurlyDoubleQuote]sees\[CloseCurlyDoubleQuote] the objects. +For example, a 4-dimensional 4-vector is represented by\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p", "]"}]}], "]"}]], "Input", + CellLabel->"In[18]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[18]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["Pair", + FontWeight->"Bold"], + " is one of the most basic FeynCalc objects. Depending on its arguments, it \ +can represent a 4-vector, a metric tensor" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}]}], "]"}]], "Input", + CellLabel->"In[19]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[19]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["or a scalar product of two 4-vectors", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", + RowBox[{"Momentum", "[", "q", "]"}]}], "]"}]], "Input", + CellLabel->"In[20]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[20]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Another essential object is ", + StyleBox["DiracGamma", + FontWeight->"Bold"], + " that is used to represent Dirac matrices. An ", + StyleBox["uncontracted ", + IgnoreSpellCheck -> True], + "Dirac matrix is" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], "]"}]], "Input", + CellLabel->"In[21]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[21]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["and for a Feynman slash we use", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{"Momentum", "[", "p", "]"}], "]"}]], "Input", + CellLabel->"In[22]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[22]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["The Levi-Civita-Tensor is", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Eps", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Rho]", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Sigma]", "]"}]}], "]"}]], "Input", + CellLabel->"In[23]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[23]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["or, when contracted with 4-momenta", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Eps", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p1", "]"}], ",", + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"Momentum", "[", "q1", "]"}], ",", + RowBox[{"Momentum", "[", "q2", "]"}]}], "]"}]], "Input", + CellLabel->"In[24]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[24]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +This notation (momenta in the index slots) is also used in many other tools \ +(e.g. FORM). The advantage is, that we do not need to canonicalize the \ +indices of the Levi-Civita-Tensor, e.g. to ensure that\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"Eps", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"Momentum", "[", "q1", "]"}], ",", + RowBox[{"Momentum", "[", "q2", "]"}]}], "]"}], + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p1", "]"}]}], "]"}]}], "-", + "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Eps", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}], ",", + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"Momentum", "[", "q1", "]"}], ",", + RowBox[{"Momentum", "[", "q2", "]"}]}], "]"}], + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}], ",", + RowBox[{"Momentum", "[", "p1", "]"}]}], "]"}]}]}]], "Input"], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox["\[Epsilon]", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox["\[Epsilon]", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]]}]}], TraditionalForm]], "Output"] +}, Open ]] +}, Open ]], + +Cell["is zero.", "Text"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["FeynCalcExternal", "Subsection"], + +Cell["\<\ +The internal representation is useful for the internal programming FeynCalc, \ +but obviously too cumbersome for the user input. This is why FeynCalc also \ +has an external representation (FeynCalcExternal or FCE), that is concise and \ +convenient. \ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Let us start with the 4-vector. In the FCE-notation it is just ", + StyleBox["FV", + FontWeight->"Bold"], + " (\[OpenCurlyDoubleQuote]FourVector\[CloseCurlyDoubleQuote])" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + TraditionalForm]], + TraditionalForm], TraditionalForm]], "Output"] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "It is not hard to guess that the scalar product is ", + StyleBox["SP", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output"] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "while for the metric tensor we write ", + StyleBox["MT", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"MT", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], TraditionalForm]], "Output"] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "To input a Dirac matrix or a Feynman slash, use ", + StyleBox["GA", + FontWeight->"Bold"], + " and ", + StyleBox["GS", + FontWeight->"Bold"], + " respectively" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GA", "[", "\[Mu]", "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GS", "[", "p", "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output"] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "The Levi-Civita tensor is ", + StyleBox["LC", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Nu]", ",", "\[Rho]", ",", "\[Sigma]"}], + "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["\[Epsilon]", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output"] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["The fully contracted form is entered via", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"LC", "[", "]"}], "[", + RowBox[{"p1", ",", "p2", ",", "q1", ",", "q2"}], "]"}]], "Input", + CellLabel->"In[25]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[25]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["It is also possible to enter a mixed form", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"LC", "[", "\[Mu]", "]"}], "[", + RowBox[{"p1", ",", "p2", ",", "q"}], "]"}]], "Input", + CellLabel->"In[26]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[26]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "[", + RowBox[{"p1", ",", "p2"}], "]"}]], "Input", + CellLabel->"In[27]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[27]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Switching between the representations", "Subsection"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "To convert between the two representations we use the functions ", + StyleBox["FCI", + FontWeight->"Bold"], + " and ", + StyleBox["FCE", + FontWeight->"Bold"], + ", which are shortcuts for ", + StyleBox["FeynCalcInternal", + FontWeight->"Bold"], + " and ", + StyleBox["FeynCalcExternal", + FontWeight->"Bold"], + ". One cannot distinguish between the notations using the typesetting, i.e. \ +when we see a ", + StyleBox["typesetted", + IgnoreSpellCheck -> True], + " objected in the ", + StyleBox["TraditionalForm", + FontWeight->"Bold"], + ", we cannot really tell if it is in the FCI or FCE notation." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", "=", + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"ex2", "=", + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}]}], "]"}]}]}], "Input", + CellLabel->"In[28]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[28]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[29]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + " However, we can always use ", + StyleBox["StandardForm", + FontWeight->"Bold"], + " to see the difference" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", "//", "StandardForm"}], "\[IndentingNewLine]", + RowBox[{"ex2", "//", "StandardForm"}]}], "Input", + CellLabel->"In[30]:="], + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Output", + CellLabel->"Out[30]//StandardForm="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p", "]"}]}], "]"}]], "Output", + CellLabel->"Out[31]//StandardForm="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["StandardForm", + FontWeight->"Bold"], + " shows us how Mathematica \[OpenCurlyDoubleQuote]sees\ +\[CloseCurlyDoubleQuote] the expressions that we enter. Notice that the index \ +\[Mu] is still typeset. The more \[OpenCurlyDoubleQuote]advanced\ +\[CloseCurlyDoubleQuote] version of ", + StyleBox["StandardForm", + FontWeight->"Bold"], + " is ", + StyleBox["FullForm", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", "//", "FullForm"}], "\[IndentingNewLine]", + RowBox[{"ex2", "//", "FullForm"}]}], "Input", + CellLabel->"In[32]:="], + +Cell[BoxData[ + FormBox[ + TagBox[ + StyleBox[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\\[Mu]"}], "]"}], + ShowSpecialCharacters->False, + ShowStringCharacters->True, + NumberMarks->True], + FullForm], TraditionalForm]], "Output", + CellLabel->"Out[32]//FullForm="], + +Cell[BoxData[ + FormBox[ + TagBox[ + StyleBox[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p", "]"}]}], "]"}], + ShowSpecialCharacters->False, + ShowStringCharacters->True, + NumberMarks->True], + FullForm], TraditionalForm]], "Output", + CellLabel->"Out[33]//FullForm="] +}, Open ]] +}, Open ]], + +Cell[TextData[{ + "In most cases, ", + StyleBox["StandardForm", + FontWeight->"Bold"], + " is fully sufficient yo analyze the input and output of FeynCalc and \ +Mathematica.\nNow using ", + StyleBox["FCI", + FontWeight->"Bold"], + " and ", + StyleBox["FCE", + FontWeight->"Bold"], + ", we can see how the output of ", + StyleBox["StandardForm", + FontWeight->"Bold"], + " changes" +}], "Text"], + +Cell[CellGroupData[{ + +Cell["This is the original expression", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex1", "//", "StandardForm"}]], "Input", + CellLabel->"In[34]:="], + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Output", + CellLabel->"Out[34]//StandardForm="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Nothing changes, since ex1 is already FCE", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"ex1", "//", "FCE"}], "//", "StandardForm"}]], "Input", + CellLabel->"In[35]:="], + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Output", + CellLabel->"Out[35]//StandardForm="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Now ex1 becomes FCI", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"ex1", "//", "FCI"}], "//", "StandardForm"}]], "Input", + CellLabel->"In[36]:="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p", "]"}]}], "]"}]], "Output", + CellLabel->"Out[36]//StandardForm="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["but we can easily make it FCE again", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"ex1", "//", "FCI"}], "//", "FCE"}], "//", + "StandardForm"}]], "Input", + CellLabel->"In[37]:="], + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Output", + CellLabel->"Out[37]//StandardForm="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Why it matters", "Subsection"], + +Cell["\<\ +All FeynCalc functions that are meant for users will automatically convert \ +the user input in the FCE notation into the FCI notation. You do not have to \ +do it by yourself.\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell["\<\ +On the other hand, virtually all FeynCalc functions produce their output in \ +the FCI form. So when you have an expression that was obtained from FeynCalc \ +and want to apply some replacement rules to it, we have to use the FCI form \ +in the rule\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex", "=", + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", + RowBox[{"Momentum", "[", "q", "]"}]}], "]"}]}]], "Input", + CellLabel->"In[38]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[38]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["No surprise that following does not work", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex", "/.", + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[Rule]", "1"}]}]], "Input", + CellLabel->"In[39]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[39]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "But if we wrap the r.h.s of the rule with ", + StyleBox["FCI", + FontWeight->"Bold"], + ", then everything is fine" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex", "/.", + RowBox[{ + RowBox[{"FCI", "[", + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "]"}], "\[Rule]", "1"}]}]], "Input", + CellLabel->"In[40]:="], + +Cell[BoxData[ + FormBox["1", TraditionalForm]], "Output", + CellLabel->"Out[40]="] +}, Open ]] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Contractions", "Section"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Now that we have some basic understanding of FeynCalc objects, let us do \ +something with them. Contractions of Lorentz indices are one of the most \ +essential operations in symbolic QFT calculations.\nIn FeynCalc the \ +corresponding function is called ", + StyleBox["Contract", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"MT", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[41]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[41]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[42]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Alpha]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Alpha]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[43]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[43]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[44]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Notice that when we enter noncommutative objects, such as Dirac matrices, \ +we use ", + StyleBox["Dot", + FontWeight->"Bold"], + " (\[OpenCurlyDoubleQuote].\[CloseCurlyDoubleQuote]) and not ", + StyleBox["Times", + FontWeight->"Bold"], + " (\[OpenCurlyDoubleQuote]*\[CloseCurlyDoubleQuote]) " +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Alpha]"}], "]"}], + RowBox[{"MT", "[", + RowBox[{"\[Beta]", ",", "\[Gamma]"}], "]"}], + RowBox[{ + RowBox[{"GA", "[", "\[Alpha]", "]"}], ".", + RowBox[{"GA", "[", "\[Beta]", "]"}], ".", + RowBox[{"GA", "[", "\[Gamma]", "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[45]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Gamma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Gamma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[45]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Gamma]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Gamma]", + TraditionalForm], + TraditionalForm]]}], TraditionalForm]], "Output", + CellLabel->"Out[46]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "This is because ", + StyleBox["Times", + FontWeight->"Bold"], + " is commutative, so writing something like" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"GA", "[", "\[Delta]", "]"}], " ", + RowBox[{"GA", "[", "\[Beta]", "]"}], + RowBox[{"GA", "[", "\[Alpha]", "]"}]}]], "Input", + CellLabel->"In[47]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[47]="] +}, Open ]] +}, Open ]], + +Cell["\<\ +will give you completely wrong results. It is also a very common beginner\ +\[CloseCurlyQuote]s mistake!\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "You might have wondered why FeynCalc does not seem to distinguish between \ +upper and lower Lorentz indices.\nWell, FeynCalc assumes that all your \ +expressions with Lorentz indices are manifestly Lorentz covariant and respect \ +Einstein\[CloseCurlyQuote]s summation. This implies that in an equality, if a \ +free Lorentz index appears upstairs on the left hand side, it must also \ +appear upstairs\[LineSeparator]on the right hand side. Something like ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], "=", + RowBox[{"c", " ", + SubscriptBox["q", "\[Mu]"]}]}], TraditionalForm]]], + " would violate manifest Lorentz covariance. Hence," +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[Equal]", + RowBox[{"c", " ", + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}]}]], "Input", + CellLabel->"In[48]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "\[LongEqual]", + RowBox[{"c", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[48]="] +}, Open ]] +}, Open ]], + +Cell[TextData[{ + "could equally stand for ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], "=", + RowBox[{"c", " ", + SuperscriptBox["q", "\[Mu]"]}]}], TraditionalForm]]], + " or ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SubscriptBox["p", "\[Mu]"], "=", + RowBox[{"c", " ", + SubscriptBox["q", "\[Mu]"]}]}], TraditionalForm]]] +}], "Text"], + +Cell["\<\ +Each term may not contain more than two equal indices. Those are interpreted \ +as dummy indices, i.e. one of them is an upper index and the other is the \ +lower one. Which one is which does not matter. Dummy indices will be \ +contracted.\ +\>", "Text"], + +Cell["\<\ +Still, it is your task to ensure, that your input expression respect Einstein\ +\[CloseCurlyQuote]s summation. Checking\[LineSeparator]this by FeynCalc would \ +cost too much performance.\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell["\<\ +Hence, FeynCalc will not complain about obviously incorrect expressions, but \ +the corresponding result will be apparently nonsensical\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"MT", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[49]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[49]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], TraditionalForm]], "Output", + CellLabel->"Out[50]="] +}, Open ]] +}, Open ]], + +Cell[TextData[{ + "In FeynCalc 9.3 we introduced Cartesian indices (", + StyleBox["CartesianIndex", + FontWeight->"Bold"], + "), so that is possible to have the same index appearing upstairs and \ +downstairs in an equality (e. g. ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + StyleBox["p", + FontWeight->"Bold"], "i"], "=", + RowBox[{"-", + SubscriptBox[ + StyleBox["p", + FontWeight->"Bold"], "i"]}]}], TraditionalForm]]], + "). This means that we have to explicitly specify the positions of the \ +indices. The choice we make is the following" +}], "Text"], + +Cell[TextData[{ + "Every free Lorentz or Cartesian index is an upper index, i. e. ", + StyleBox["FV", + FontWeight->"Bold"], + "[p,\[Mu]] corresponds to ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], " "}], TraditionalForm]]], + " and\[LineSeparator]", + StyleBox["CV", + FontWeight->"Bold"], + "[p,i] to ", + Cell[BoxData[ + FormBox[ + SuperscriptBox[ + StyleBox["p", + FontWeight->"Bold"], "i"], TraditionalForm]]], + " which also agrees with the typesetting. A pair of dummy Lorentz indices \ +consists of an upper and a lower index. A pair of dummy Cartesian indices \ +consists of ", + StyleBox["two upper", + FontWeight->"Bold"], + " indices. " +}], "Text"], + +Cell[TextData[{ + "Thus, while ", + StyleBox["FV", + FontWeight->"Bold"], + "[p,\[Mu]] ", + StyleBox["FV", + FontWeight->"Bold"], + "[q,\[Mu]] may stand for ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], + SubscriptBox["q", "\[Mu]"]}], TraditionalForm]]], + " or", + Cell[BoxData[ + FormBox[ + RowBox[{" ", + RowBox[{ + SuperscriptBox["q", "\[Mu]"], + SubscriptBox["p", "\[Mu]"]}]}], TraditionalForm]]], + ", ", + StyleBox["CV", + FontWeight->"Bold"], + "[p,i] ", + StyleBox["CV", + FontWeight->"Bold"], + "[q,i] always implies ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + StyleBox["p", + FontWeight->"Bold"], "i"], + SuperscriptBox[ + StyleBox["q", + FontWeight->"Bold"], "i"]}], TraditionalForm]]] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "When it comes to products of ", + StyleBox["Eps", + FontWeight->"Bold"], + " tensors, ", + StyleBox["Contract", + FontWeight->"Bold"], + " will by default apply the product formula with the determinant of metric \ +tensors" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "[", + RowBox[{"p", ",", "q"}], "]"}], + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}], "[", + RowBox[{"r", ",", "s"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"x", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[51]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[51]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[52]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "This is, however, not always what we want and can be inhibited via the \ +option ", + StyleBox["EpsContract", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "[", + RowBox[{"p", ",", "q"}], "]"}], + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}], "[", + RowBox[{"r", ",", "s"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"x", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", + RowBox[{"%", ",", + RowBox[{"EpsContract", "\[Rule]", "False"}]}], "]"}]}], "Input", + CellLabel->"In[55]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[55]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}]]}], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[56]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Dimensions", "Section"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "You might have wondered why 4-vectors, scalar products and Dirac matrices \ +all have a bar, like ", + Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["p", "_"], "\[Mu]"], TraditionalForm]]], + " or ", + Cell[BoxData[ + FormBox[ + RowBox[{ + OverscriptBox["p", "_"], " ", "\[CenterDot]", + OverscriptBox["q", "_"]}], TraditionalForm]]], + ". The bar is there to specify that they are 4-dimensional objects. Objects \ +that live in D-dimensions do not have a bar, c. f." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[57]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[57]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", "D"}], "]"}], ",", + RowBox[{"Momentum", "[", + RowBox[{"p", ",", "D"}], "]"}]}], "]"}]], "Output", + CellLabel->"Out[58]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[59]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[59]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", "D"}], "]"}], ",", + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Nu]", ",", "D"}], "]"}]}], "]"}]], "Output", + CellLabel->"Out[60]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[61]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[61]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p", ",", "D"}], "]"}], ",", + RowBox[{"Momentum", "[", + RowBox[{"q", ",", "D"}], "]"}]}], "]"}]], "Output", + CellLabel->"Out[62]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"GAD", "[", "\[Mu]", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[63]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[63]="], + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", "D"}], "]"}], ",", "D"}], "]"}]], "Output", + CellLabel->"Out[64]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"GSD", "[", "p", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[65]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[65]="], + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p", ",", "D"}], "]"}], ",", "D"}], "]"}]], "Output", + CellLabel->"Out[66]//StandardForm="] +}, Open ]] +}, Open ]], + +Cell[TextData[{ + "This origin of this notation is the publication of Breitenlohner and Maison \ +(1977, ", + ButtonBox["link", + BaseStyle->"Hyperlink", + ButtonData->{ + URL["https://inspirehep.net/record/124212"], None}, + ButtonNote->"https://inspirehep.net/record/124212"], + ") on the treatment of ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]], + " in D-dimensions in the t\[CloseCurlyQuote]Hooft-Veltman scheme. The main \ +idea was that we can decompose indexed objects in 4 and D-4 dimensional \ +pieces, e.g.\n", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], "="}], TraditionalForm]]], + Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["p", "_"], "\[Mu]"], TraditionalForm]]], + "+", + Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["p", "^"], "\[Mu]"], TraditionalForm]]] +}], "Text"], + +Cell[CellGroupData[{ + +Cell["\<\ +Consequently, in FeynCalc we can also enter D-4 dimensional objects\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FVE", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[67]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[67]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{"Momentum", "[", + RowBox[{"p", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]}], "]"}]], "Output", + CellLabel->"Out[68]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"MTE", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[69]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "^"], + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[69]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"p", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{"LorentzIndex", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]}], "]"}]], "Output", + CellLabel->"Out[70]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SPE", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[71]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "^"], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[71]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{"Momentum", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]}], "]"}]], "Output", + CellLabel->"Out[72]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"GAE", "[", "\[Mu]", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[73]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "^"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[73]="], + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]], "Output", + CellLabel->"Out[74]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"GSE", "[", "p", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[75]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "^"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[75]="], + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]], "Output", + CellLabel->"Out[76]//StandardForm="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +When we contract Lorentz tensors from different dimensions, the contractions \ +are resolved according to the rules from the paper of Breitenlohner and \ +Maison, e.g.\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[77]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[77]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[78]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FVE", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[79]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[79]="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + CellLabel->"Out[80]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "+", + RowBox[{"FVE", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]}], ")"}], + RowBox[{"(", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}], "+", + RowBox[{"FVE", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], ")"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[81]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[81]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"3", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "^"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[82]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +Sometimes we need to switch from one dimension to another, e.g. to convert a \ +4-dimensional object to a D-dimensional one or vice versa. This is done via\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{"ChangeDimension", "[", + RowBox[{"%", ",", "4"}], "]"}]}], "Input", + CellLabel->"In[83]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[83]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[84]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "The second argument of ", + StyleBox["ChangeDimension", + FontWeight->"Bold"], + " is the new dimension . The most common choices are 4, D or D-4" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{"ChangeDimension", "[", + RowBox[{"%", ",", + RowBox[{"D", "-", "4"}]}], "]"}]}], "Input", + CellLabel->"In[87]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[87]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[88]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{"ChangeDimension", "[", + RowBox[{"%", ",", "D"}], "]"}]}], "Input", + CellLabel->"In[89]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[89]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[90]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Kinematics", "Section"], + +Cell[CellGroupData[{ + +Cell["\<\ +FeynCalc allows us to specify the values of scalar products before doing the \ +calculation.\ +\>", "Text"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "=", "s"}], ";"}]], "Input", + CellLabel->"In[91]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}]], "Input", + CellLabel->"In[92]:="], + +Cell[BoxData[ + FormBox["s", TraditionalForm]], "Output", + CellLabel->"Out[92]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["To clear the previously set values, use", "Text"], + +Cell[BoxData[ + RowBox[{"FCClearScalarProducts", "[", "]"}]], "Input", + CellLabel->"In[94]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output"] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "A good habit is to always apply ", + StyleBox["FCClearScalarProducts", + FontWeight->"Bold"], + "[] before setting the values, like in" +}], "Text"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p1", ",", "p1"}], "]"}], "=", + RowBox[{"m1", "^", "2"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p2", ",", "p2"}], "]"}], "=", + RowBox[{"m2", "^", "2"}]}], ";"}]}], "Input", + CellLabel->"In[98]:="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +Setting up the kinematics in advance improves performance of FeynCalc and \ +leads to more compact results. The results with the fully arbitrary \ +kinematics are the most complicated and the longest ones. Before continuing, \ +we clear the previously set values\ +\>", "Text"], + +Cell[BoxData[ + RowBox[{"FCClearScalarProducts", "[", "]"}]], "Input", + CellLabel->"In[101]:="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Expanding and undoing expansions", "Section"], + +Cell[CellGroupData[{ + +Cell["\<\ +FeynCalc offers further useful functions for the manipulations of Lorentz \ +tensors and Dirac matrices. To expand scalar products\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex1", "=", + RowBox[{"SP", "[", + RowBox[{ + RowBox[{"p", "+", "q", "+", "r"}], ",", + RowBox[{"s", "+", "t"}]}], "]"}]}]], "Input", + CellLabel->"In[102]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["t", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[102]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["or expressions like", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex2", "=", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"p", "+", "q", "+", "r"}], ",", "\[Mu]"}], "]"}]}]], "Input", + CellLabel->"In[103]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[103]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["we can use", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ExpandScalarProduct", "[", "ex1", "]"}]], "Input", + CellLabel->"In[104]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["t", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["t", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["t", + TraditionalForm], "_"], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[104]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ExpandScalarProduct", "[", "ex2", "]"}]], "Input", + CellLabel->"In[105]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "+", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "+", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], TraditionalForm]], "Output", + CellLabel->"Out[105]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Notice that ", + StyleBox["ExpandScalarProduct", + FontWeight->"Bold"], + " can also do expansions only for the given momentum, while leaving the rest \ +of the expression untouched, e.g." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"x", " ", + RowBox[{"SP", "[", + RowBox[{ + RowBox[{"p1", "+", "p2"}], ",", + RowBox[{"q1", "+", "q2"}]}], "]"}]}], "+", + RowBox[{"y", " ", + RowBox[{"SP", "[", + RowBox[{ + RowBox[{"p3", "+", "p4"}], ",", + RowBox[{"q3", "+", "q4"}]}], "]"}]}], "+", + RowBox[{"z", " ", + RowBox[{"SP", "[", + RowBox[{ + RowBox[{"p5", "+", "p6"}], ",", + RowBox[{"q5", "+", "q6"}]}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"ExpandScalarProduct", "[", + RowBox[{"%", ",", + RowBox[{"Momentum", "\[Rule]", + RowBox[{"{", "p1", "}"}]}]}], "]"}]}], "Input", + CellLabel->"In[106]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"x", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"y", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p3", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p4", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q3", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q4", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"z", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p5", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p6", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q5", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q6", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], + TraditionalForm], ")"}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[106]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"y", " ", + RowBox[{"(", + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p3", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p4", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q3", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q4", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"z", " ", + RowBox[{"(", + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p5", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p6", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q5", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q6", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"x", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[107]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "For the expansion of ", + StyleBox["Eps", + FontWeight->"Bold"], + " tensors, we use" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"LC", "[", "]"}], "[", + RowBox[{ + RowBox[{"p1", "+", "p2"}], ",", "q", ",", "r", ",", "s"}], + "]"}], "\[IndentingNewLine]", + RowBox[{"EpsEvaluate", "[", "%", "]"}]}], "Input", + CellLabel->"In[108]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[108]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], "+", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[109]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["EpsEvaluate", + FontWeight->"Bold"], + " also reorders the arguments of ", + StyleBox["Eps", + FontWeight->"Bold"], + " according to its antisymmetric properties" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Sigma]", ",", "\[Rho]", ",", "\[Nu]"}], + "]"}], "\[IndentingNewLine]", + RowBox[{"EpsEvaluate", "[", "%", "]"}]}], "Input", + CellLabel->"In[110]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[110]="], + +Cell[BoxData[ + FormBox[ + RowBox[{"-", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[111]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "The inverse of ", + StyleBox["ExpandScalarProduct", + FontWeight->"Bold"], + " is called ", + StyleBox["MomentumCombine", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"3", + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]}], "+", + RowBox[{"4", + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"MomentumCombine", "[", "%", "]"}]}], "Input", + CellLabel->"In[128]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"3", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{"4", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[128]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"3", " ", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], "+", + RowBox[{"4", " ", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[129]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"2", + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}]}], "+", + RowBox[{"9", + RowBox[{"SP", "[", + RowBox[{"q", ",", "r"}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"MomentumCombine", "[", "%", "]"}]}], "Input", + CellLabel->"In[130]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"9", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], ")"}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[130]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], "+", + RowBox[{"9", " ", + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[131]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "For Dirac matrices the corresponding functions are ", + StyleBox["DiracGammaExpand", + FontWeight->"Bold"], + " and ", + StyleBox["DiracGammaCombine", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "q"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"r", "+", "s"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracGammaExpand", "[", "%", "]"}]}], "Input", + CellLabel->"In[132]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[132]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[133]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "q"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"r", "+", "s"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracGammaExpand", "[", + RowBox[{"%", ",", + RowBox[{"Momentum", "\[Rule]", "r"}]}], "]"}]}], "Input", + CellLabel->"In[134]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[134]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[135]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "q"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"r", "+", "s"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracGammaExpand", "[", "%", "]"}], "\[IndentingNewLine]", + RowBox[{"DiracGammaCombine", "[", "%", "]"}]}], "Input", + CellLabel->"In[136]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[136]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[137]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[138]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Notice the ", + StyleBox["DiracGammaExpand", + FontWeight->"Bold"], + " does not expand the whole noncommutative product. If you need that, use ", + StyleBox["DotSimplify", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "q"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"r", "+", "s"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "DiracGammaExpand"}], "//", "DotSimplify"}]}], "Input", + CellLabel->"In[139]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[139]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[140]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Handling indices", "Section"], + +Cell[CellGroupData[{ + +Cell["\<\ +There are two quite recent functions that can to some further extent simplify \ +the handling of Lorentz (and other) indices When you square an expression \ +with dummy indices, you must rename them first. People often do this by hand, \ +like\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex1", "=", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "+", + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], ")"}], + RowBox[{"FV", "[", + RowBox[{"r", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"r", ",", "\[Nu]"}], "]"}]}]}]], "Input", + CellLabel->"In[141]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[141]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", " ", + RowBox[{"(", + RowBox[{"ex1", "/.", + RowBox[{"\[Mu]", "\[Rule]", "\[Rho]"}]}], + ")"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[142]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ")"}], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[142]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], "2"]}], TraditionalForm]], "Output", + CellLabel->"Out[143]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["However, since FeynCalc 9 there is a function for that", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCRenameDummyIndices", "[", "ex1", "]"}]], "Input", + CellLabel->"In[144]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$489", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$489", ")"}]}], + TraditionalForm], + TraditionalForm]], "+", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$489", ")"}]}], + TraditionalForm], + TraditionalForm]]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[144]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", " ", + RowBox[{ + "FCRenameDummyIndices", "[", "ex1", "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[145]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$490", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$490", ")"}]}], + TraditionalForm], + TraditionalForm]], "+", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$490", ")"}]}], + TraditionalForm], + TraditionalForm]]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[145]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], "2"]}], TraditionalForm]], "Output", + CellLabel->"Out[146]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Notice that ", + StyleBox["FCRenameDummyIndices", + FontWeight->"Bold"], + " does not canonicalize the indices" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Nu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}]}], "-", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"FCRenameDummyIndices", "[", "%", "]"}]}], "Input", + CellLabel->"In[147]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[147]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$492", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$492", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$491", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$491", ")"}]}], + TraditionalForm], + TraditionalForm]]}]}], TraditionalForm]], "Output", + CellLabel->"Out[148]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["But since FeynCalc 9.1 there is a function for that too", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Nu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}]}], "-", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"FCCanonicalizeDummyIndices", "[", "%", "]"}]}], "Input", + CellLabel->"In[149]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[149]="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + CellLabel->"Out[150]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Finally, often we also need to uncontract already contracted indices. This \ +is done by ", + StyleBox["Uncontract", + FontWeight->"Bold"], + ". By default, it handles only contractions with Dirac matrices and \ +Levi-Civita tensors" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"LC", "[", "]"}], "[", + RowBox[{"p", ",", "q", ",", "r", ",", "s"}], "]"}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p"}], "]"}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%%", ",", "p", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[151]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[151]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$500", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$500", ")"}]}], + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[152]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$502", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$501", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{"-", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$501", ")"}]}], + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$502", ")"}]}], + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[153]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GS", "[", + RowBox[{"p", "+", "m1"}], "]"}], ".", + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"q", "+", "m2"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p"}], "]"}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%%", ",", "p", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[154]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[154]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$503", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$503", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[155]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$505", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$505", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$504", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$504", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[156]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{" ", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "+", " ", + RowBox[{"SP", "[", + RowBox[{"p", ",", "r"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p"}], "]"}]}]}]], "Input", + CellLabel->"In[157]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[157]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[158]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "To make ", + StyleBox["Uncontract", + FontWeight->"Bold"], + " work with scalar products, we need to specify a list of vectors, that are \ +contracted with the vector that we wish to uncontract" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{" ", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "+", " ", + RowBox[{"SP", "[", + RowBox[{"p", ",", "r"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p", ",", + RowBox[{"Pair", "\[Rule]", + RowBox[{"{", "q", "}"}]}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p", ",", + RowBox[{"Pair", "\[Rule]", + RowBox[{"{", "r", "}"}]}]}], "]"}]}]}]], "Input", + CellLabel->"In[159]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[159]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$506", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$506", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[160]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$506", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$506", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$507", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$507", ")"}]}], + TraditionalForm], + TraditionalForm]]}]}], TraditionalForm]], "Output", + CellLabel->"Out[161]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["or we can uncontract all the suitable scalar products via", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{" ", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "+", " ", + RowBox[{"SP", "[", + RowBox[{"p", ",", "r"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p", ",", + RowBox[{"Pair", "\[Rule]", "All"}]}], "]"}]}]}]], "Input", + CellLabel->"In[162]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[162]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$508", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$508", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$509", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$509", ")"}]}], + TraditionalForm], + TraditionalForm]]}]}], TraditionalForm]], "Output", + CellLabel->"Out[163]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Dirac algebra", "Section"], + +Cell[TextData[{ + "The two most relevant functions for the manipulations of Dirac matrices are \ +", + StyleBox["DiracSimplify", + FontWeight->"Bold"], + " and ", + StyleBox["DiracTrace", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "The goal of ", + StyleBox["DiracSimplify", + FontWeight->"Bold"], + " is to eliminate all pairs of Dirac matrices with the equal indices or \ +contracted with the same 4-vectors" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "m"}], "]"}], ".", + RowBox[{"GA", "[", "\[Mu]", "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[164]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[164]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m", + TraditionalForm], "_"], + TraditionalForm]}]}]}], "-", + RowBox[{"2", " ", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[165]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "m1"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "m2"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[166]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[166]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[167]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Of course, ", + StyleBox["DiracSimplify", + FontWeight->"Bold"], + " also works with D-dimensional objects" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GSD", "[", + RowBox[{"p", "+", "m"}], "]"}], ".", + RowBox[{"GAD", "[", "\[Mu]", "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[168]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{"\[Gamma]", "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["m", + TraditionalForm], "+", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[168]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{"D", " ", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]}]}], "-", + RowBox[{"D", " ", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}]}], "+", + RowBox[{"2", " ", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]}], "+", + RowBox[{"2", " ", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[169]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["DiracTrace", + FontWeight->"Bold"], + " is used for the evaluation of Dirac traces. The trace is not evaluated by \ +default" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracTrace", "[", + RowBox[{"GA", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "]"}]], "Input", + CellLabel->"In[170]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + TraditionalForm], ")"}], TraditionalForm]], "Output", + CellLabel->"Out[170]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "To obtain the result we can either use the option ", + StyleBox["DiracTraceEvaluate", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracTrace", "[", + RowBox[{ + RowBox[{"GA", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], ",", + RowBox[{"DiracTraceEvaluate", "\[Rule]", "True"}]}], "]"}]], "Input", + CellLabel->"In[171]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"4", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[171]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "or use ", + StyleBox["DiracSimplify", + FontWeight->"Bold"], + " instead." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", + RowBox[{"DiracTrace", "[", + RowBox[{"GA", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "]"}], "]"}]], "Input", + CellLabel->"In[172]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"4", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[172]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "We can also compute traces with ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"DiracTrace", "[", + RowBox[{"GA", "[", + RowBox[{ + "\[Alpha]", ",", "\[Beta]", ",", "\[Mu]", ",", "\[Nu]", ",", "\[Rho]", + ",", "\[Sigma]", ",", "5"}], "]"}], "]"}], "//", + "DiracSimplify"}]], "Input", + CellLabel->"In[174]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}]}], "+", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]]}]}], TraditionalForm]], "Output", + CellLabel->"Out[174]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "However, by default FeynCalc refuses to compute a D-dimensional trace that \ +contains ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"DiracTrace", "[", + RowBox[{"GAD", "[", + RowBox[{ + "\[Alpha]", ",", "\[Beta]", ",", "\[Mu]", ",", "\[Nu]", ",", "\[Rho]", + ",", "\[Sigma]", ",", "5"}], "]"}], "]"}], "//", + "DiracSimplify"}]], "Input", + CellLabel->"In[175]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["5", + TraditionalForm]]}], + TraditionalForm], ")"}], TraditionalForm]], "Output", + CellLabel->"Out[175]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "This is because by default FeynCalc is using anticommuting ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]], + " in D-dimensions, a scheme known as Naive Dimensional Regularization (NDR)" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", + RowBox[{ + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GA", "[", "5", "]"}], ".", + RowBox[{"GAD", "[", "\[Nu]", "]"}]}], "]"}]], "Input", + CellLabel->"In[176]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"-", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["5", + TraditionalForm]]}]}], TraditionalForm]], "Output", + CellLabel->"Out[176]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "In general, a chiral trace is a very ambiguous object in NDR. The results \ +depends on the position of ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]], + " inside the trace, so that we chose not to produce results that might be \ +potentially inconsistent. However, FeynCalc can also be told to use the \ +Breitenlohner-Maison-t\[CloseCurlyQuote]Hooft-Veltman scheme (BMHV), which is \ +an algebraically consistent scheme (but has other issues, e.g. it breaks Ward \ +identities)" +}], "Text"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}], ";"}]], "Input", + CellLabel->"In[179]:="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Notice that now FeynCalc anticommutes ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]], + " according to the BMHV algebra, which leads to the appearance of D-4 \ +dimensional Dirac matrices" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", + RowBox[{ + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GA", "[", "5", "]"}], ".", + RowBox[{"GAD", "[", "\[Nu]", "]"}]}], "]"}]], "Input", + CellLabel->"In[180]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "^"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["5", + TraditionalForm]]}]}], "-", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["5", + TraditionalForm]]}]}], TraditionalForm]], "Output", + CellLabel->"Out[180]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Also Dirac traces are not an issue now", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"DiracTrace", "[", + RowBox[{ + RowBox[{"GAD", "[", + RowBox[{ + "\[Alpha]", ",", "\[Beta]", ",", "\[Mu]", ",", "\[Nu]", ",", "\[Rho]", + ",", "\[Sigma]"}], "]"}], ".", + RowBox[{"GA", "[", "5", "]"}]}], "]"}], "//", "DiracSimplify"}]], "Input", + + CellLabel->"In[181]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}]}], "+", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{"4", " ", "\[ImaginaryI]", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]]}]}], TraditionalForm]], "Output", + CellLabel->"Out[181]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "To compute chiral traces in the BMHV scheme, FeynCalc uses West\ +\[CloseCurlyQuote]s formula (T. West, 1991,", + ButtonBox[" link", + BaseStyle->"Hyperlink", + ButtonData->{ + URL["https://inspirehep.net/record/31057"], None}, + ButtonNote->"https://inspirehep.net/record/31057"], + "). Still, NDR is the default scheme in FeynCalc" +}], "Text"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}], ";"}]], "Input", + + CellLabel->"In[182]:="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Another example of a trace computation", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"exp", "=", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", + RowBox[{"k", "-", "p1", "-", "p2"}], "]"}], "+", "m"}], ")"}], ".", + RowBox[{"GA", "[", "nu", "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + RowBox[{"GA", "[", "6", "]"}]}], "+", + RowBox[{"gR", " ", + RowBox[{"GA", "[", "7", "]"}]}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", + RowBox[{"k", "-", "p2"}], "]"}], "+", "m"}], ")"}], ".", + RowBox[{"GA", "[", "rho", "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + RowBox[{"GA", "[", "6", "]"}]}], "+", + RowBox[{"gR", " ", + RowBox[{"GA", "[", "7", "]"}]}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", "k", "]"}], "+", "m"}], ")"}], ".", + RowBox[{"GA", "[", "mu", "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + RowBox[{"GA", "[", "6", "]"}]}], "+", + RowBox[{"gR", " ", + RowBox[{"GA", "[", "7", "]"}]}]}], ")"}]}]}]], "Input", + CellLabel->"In[186]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", "m"}], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["6", + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{"gR", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm]}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", "m"}], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["6", + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{"gR", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm]}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], "+", "m"}], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["6", + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{"gR", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[186]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"AbsoluteTiming", "[", + RowBox[{ + RowBox[{"res", "=", + RowBox[{"DiracTrace", "[", + RowBox[{"exp", ",", + RowBox[{"DiracTraceEvaluate", "\[Rule]", "True"}]}], "]"}]}], ";"}], + "]"}], "//", "First"}]], "Input", + CellLabel->"In[187]:="], + +Cell[BoxData[ + FormBox["0.126354`", TraditionalForm]], "Output", + CellLabel->"Out[187]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["res"], "Input", + CellLabel->"In[188]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", "\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"3", " ", "\[ImaginaryI]", " ", "gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"\[ImaginaryI]", " ", "gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"2", " ", "\[ImaginaryI]", " ", "gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "+", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "+", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"2", " ", "gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "+", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "+", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"3", " ", "\[ImaginaryI]", " ", + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", "gL"}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", "gL"}], "+", + RowBox[{"2", " ", "\[ImaginaryI]", " ", + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", "gL"}], "+", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", "gL"}], "-", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", "gL"}], "+", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "-", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "+", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "+", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", "\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"4", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"4", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"]}]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[188]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +Consider for example the tree-level for amplitude for the q g -> q g \ +scattering.\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"amp", "=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "\[Mu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu2", "}"}], ",", "Col3", ",", "Col5"}], "]"}]}], + ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", + RowBox[{ + RowBox[{"-", "k1"}], "+", "p2"}], "]"}], "+", + RowBox[{"SMP", "[", "\"\\"", "]"}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "\[Nu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu4", "}"}], ",", "Col5", ",", "Col1"}], "]"}]}], + ")"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p1", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}]}], " ", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}]}], "}"}], ",", + RowBox[{"Dimension", "\[Rule]", "4"}]}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "\[ImaginaryI]", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Mu]"}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "\[ImaginaryI]"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Nu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "\[Nu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu4", "}"}], ",", "Col3", ",", "Col5"}], "]"}]}], + ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", + RowBox[{"k2", "+", "p2"}], "]"}], "+", + RowBox[{"SMP", "[", "\"\\"", "]"}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "\[Mu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu2", "}"}], ",", "Col5", ",", "Col1"}], "]"}]}], + ")"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p1", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}]}], " ", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "k2"}], "-", "p2"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}]}], "}"}], ",", + RowBox[{"Dimension", "\[Rule]", "4"}]}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "\[ImaginaryI]", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Mu]"}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "\[ImaginaryI]"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Nu]"}], "]"}]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "Lor3", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu5", "}"}], ",", "Col3", ",", "Col1"}], "]"}]}], + ")"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p1", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}]}], " ", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "k1"}], "+", "k2"}], ",", + RowBox[{"Dimension", "\[Rule]", "4"}]}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "\[ImaginaryI]", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Mu]"}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "\[ImaginaryI]"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Nu]"}], "]"}], " ", + RowBox[{"MT", "[", + RowBox[{"Lor3", ",", "Lor4"}], "]"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{ + RowBox[{ + RowBox[{"2", " ", "k1"}], "-", "k2"}], ",", "\[Nu]"}], "]"}], " ", + RowBox[{"MT", "[", + RowBox[{"Lor4", ",", "\[Mu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "k1"}], "+", + RowBox[{"2", " ", "k2"}]}], ",", "\[Mu]"}], "]"}], " ", + RowBox[{"MT", "[", + RowBox[{"Lor4", ",", "\[Nu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "k1"}], "-", "k2"}], ",", "Lor4"}], "]"}], " ", + RowBox[{"MT", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}]}]}], ")"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"Glu2", ",", "Glu4", ",", "Glu5"}], "]"}]}]}]}]], "Input", + CellLabel->"In[189]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2], + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2], + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2]]], + Editable->False]], + RowBox[{ + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["Glu2", + TraditionalForm], + FormBox["Glu4", + TraditionalForm], + FormBox["Glu5", + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu5", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[189]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +One of the new functions in FeynCalc 9.1 and later was developed specifically \ +for the purpose of disentangling such mess and extracting the Dirac structures\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ampIso", "=", + RowBox[{"FCDiracIsolate", "[", + RowBox[{"amp", ",", + RowBox[{"Head", "\[Rule]", "diracS"}]}], "]"}]}]], "Input", + CellLabel->"In[190]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2], - + FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2], + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2], - + FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2]]], + Editable->False]], + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{"-", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], ")"}], " ", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[190]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Now all the Dirac structures are wrapped into the Head ", + StyleBox["diracS", + FontWeight->"Bold"], + ". So we can do something like" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"li", "=", + RowBox[{ + RowBox[{ + RowBox[{"Cases", "[", + RowBox[{"ampIso", ",", "_diracS", ",", "Infinity"}], "]"}], "//", + "DeleteDuplicates"}], "//", "Sort"}]}]], "Input", + CellLabel->"In[191]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], ",", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], ",", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}]}], "}"}], + TraditionalForm]], "Output", + CellLabel->"Out[191]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "which gives us a sorted list of all the unique Dirac structures in amp. \ +This is useful for many purposes. For example, we could assign to these \ +structures some values and then substitute them back into the expression. For \ +simplicity, here we can use ", + StyleBox["DiracSimplify", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"evalLi", "=", + RowBox[{"DiracSimplify", "/@", + RowBox[{"(", + RowBox[{"li", "/.", + RowBox[{"diracS", "\[Rule]", "Identity"}]}], ")"}]}]}]], "Input", + CellLabel->"In[192]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ",", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], ",", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}]}], "}"}], + TraditionalForm]], "Output", + CellLabel->"Out[192]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Now we create a substitution rule", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"repRule", "=", + RowBox[{"Thread", "[", + RowBox[{"Rule", "[", + RowBox[{"li", ",", "evalLi"}], "]"}], "]"}]}]], "Input", + CellLabel->"In[193]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], "\[Rule]", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], ",", + RowBox[{ + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], "\[Rule]", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], ",", + RowBox[{ + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], "\[Rule]", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}]}]}], "}"}], + TraditionalForm]], "Output", + CellLabel->"Out[193]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["and apply it ampIso", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ampIso", "/.", "repRule"}]], "Input", + CellLabel->"In[194]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2], - + FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2], + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], ")"}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2], - + FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2]]], + Editable->False]], + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{"-", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[194]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["FCDiracIsolate", + FontWeight->"Bold"], + " also has a lot of options for more fine-grained extraction" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Options", "[", "FCDiracIsolate", "]"}]], "Input", + CellLabel->"In[195]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"CartesianIndex", "\[Rule]", "False"}], ",", + RowBox[{"ClearHeads", "\[Rule]", + RowBox[{"{", + RowBox[{"FCGV", "(", "\<\"DiracChain\"\>", ")"}], "}"}]}], ",", + RowBox[{"Collecting", "\[Rule]", "True"}], ",", + RowBox[{"DiracChain", "\[Rule]", "False"}], ",", + RowBox[{"DiracGamma", "\[Rule]", "True"}], ",", + RowBox[{"DiracGammaCombine", "\[Rule]", "True"}], ",", + RowBox[{"DiracSigmaExplicit", "\[Rule]", "False"}], ",", + RowBox[{"DiracTrace", "\[Rule]", "True"}], ",", + RowBox[{"DotSimplify", "\[Rule]", "True"}], ",", + RowBox[{"ExceptHeads", "\[Rule]", + RowBox[{"{", "}"}]}], ",", + RowBox[{"Expanding", "\[Rule]", "True"}], ",", + RowBox[{"FeynCalcExternal", "\[Rule]", "False"}], ",", + RowBox[{"FeynCalcInternal", "\[Rule]", "False"}], ",", + RowBox[{"FCJoinDOTs", "\[Rule]", "True"}], ",", + RowBox[{"FCTraceExpand", "\[Rule]", "False"}], ",", + RowBox[{"FCVerbose", "\[Rule]", "False"}], ",", + RowBox[{"Factoring", "\[Rule]", + RowBox[{"{", + RowBox[{"Factor2", ",", "5000"}], "}"}]}], ",", + RowBox[{"Head", "\[Rule]", + RowBox[{"FCGV", "(", "\<\"DiracChain\"\>", ")"}]}], ",", + RowBox[{"Isolate", "\[Rule]", "False"}], ",", + RowBox[{"IsolateFast", "\[Rule]", "False"}], ",", + RowBox[{"IsolateNames", "\[Rule]", "KK"}], ",", + RowBox[{"LorentzIndex", "\[Rule]", "False"}], ",", + RowBox[{"Polarization", "\[Rule]", "False"}], ",", + RowBox[{"Spinor", "\[Rule]", "True"}], ",", + RowBox[{"Split", "\[Rule]", "True"}], ",", + RowBox[{"TimeConstrained", "\[Rule]", "3"}], ",", + RowBox[{"ToDiracGamma67", "\[Rule]", "False"}]}], "}"}], + TraditionalForm]], "Output", + CellLabel->"Out[195]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Color algebra", "Section"], + +Cell[CellGroupData[{ + +Cell["FeynCalc objects relevant for the color algebra are", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNT", "[", "a", "]"}]], "Input", + CellLabel->"In[196]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["T", + FormBox["a", + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[196]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "b", ",", "c"}], "]"}]], "Input", + CellLabel->"In[197]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[197]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUND", "[", + RowBox[{"a", ",", "b", ",", "c"}], "]"}]], "Input", + CellLabel->"In[198]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[198]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNDelta", "[", + RowBox[{"a", ",", "b"}], "]"}]], "Input", + CellLabel->"In[199]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[199]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["SUNN"], "Input", + CellLabel->"In[200]:="], + +Cell[BoxData[ + FormBox["N", TraditionalForm]], "Output", + CellLabel->"Out[200]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["CA"], "Input", + CellLabel->"In[201]:="], + +Cell[BoxData[ + FormBox[ + SubscriptBox["C", "A"], TraditionalForm]], "Output", + CellLabel->"Out[201]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["CF"], "Input", + CellLabel->"In[202]:="], + +Cell[BoxData[ + FormBox[ + SubscriptBox["C", "F"], TraditionalForm]], "Output", + CellLabel->"Out[202]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Currently there are two main functions to deal with colored objects: ", + StyleBox["SUNSimplify", + FontWeight->"Bold"], + " and ", + StyleBox["SUNTrace", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SUNT", "[", + RowBox[{"a", ",", "a"}], "]"}], "\[IndentingNewLine]", + RowBox[{"SUNSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[203]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["T", + FormBox["a", + TraditionalForm]], ".", + SuperscriptBox["T", + FormBox["a", + TraditionalForm]]}], TraditionalForm]], "Output", + CellLabel->"Out[203]="], + +Cell[BoxData[ + FormBox[ + SubscriptBox["C", "F"], TraditionalForm]], "Output", + CellLabel->"Out[204]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SUNT", "[", + RowBox[{"a", ",", "b", ",", "a", ",", "b"}], "]"}], "\[IndentingNewLine]", + RowBox[{"SUNSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[205]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["T", + FormBox["a", + TraditionalForm]], ".", + SuperscriptBox["T", + FormBox["b", + TraditionalForm]], ".", + SuperscriptBox["T", + FormBox["a", + TraditionalForm]], ".", + SuperscriptBox["T", + FormBox["b", + TraditionalForm]]}], TraditionalForm]], "Output", + CellLabel->"Out[205]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + FractionBox["1", "2"]}], " ", + SubscriptBox["C", "F"], " ", + RowBox[{"(", + RowBox[{ + SubscriptBox["C", "A"], "-", + RowBox[{"2", " ", + SubscriptBox["C", "F"]}]}], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[206]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNTrace", "[", + RowBox[{"SUNT", "[", + RowBox[{"a", ",", "b"}], "]"}], "]"}]], "Input", + CellLabel->"In[207]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]}]], "2"], TraditionalForm]], "Output", + CellLabel->"Out[207]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNTrace", "[", + RowBox[{"SUNT", "[", + RowBox[{"a", ",", "b", ",", "b", ",", "a"}], "]"}], "]"}]], "Input", + CellLabel->"In[208]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FractionBox[ + SuperscriptBox["N", "3"], "4"], "-", + FractionBox["N", "2"], "+", + FractionBox["1", + RowBox[{"4", " ", "N"}]]}], TraditionalForm]], "Output", + CellLabel->"Out[208]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Sometimes ", + StyleBox["SUNSimplify", + FontWeight->"Bold"], + " and ", + StyleBox["SUNTrace", + FontWeight->"Bold"], + " may require extra help to evaluate the given expression" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SUND", "[", + RowBox[{"i", ",", "a", ",", "b"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"j", ",", "b", ",", "c"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"k", ",", "c", ",", "a"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"SUNSimplify", "[", + RowBox[{"%", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}], "//", + RowBox[{ + RowBox[{"ReplaceAll", "[", + RowBox[{"#", ",", + RowBox[{ + RowBox[{"SUNTrace", "[", "a__", "]"}], "\[RuleDelayed]", + RowBox[{"SUNTrace", "[", + RowBox[{"a", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}]}]}], "]"}], + "&"}]}]}], "Input", + CellLabel->"In[223]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm], + FormBox["i", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["k", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["j", + TraditionalForm]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[223]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + FractionBox["1", "2"]}], " ", + RowBox[{"(", + RowBox[{"12", "-", + SubsuperscriptBox["C", "A", "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SubscriptBox["C", "A"], "-", + RowBox[{"2", " ", + SubscriptBox["C", "F"]}]}], ")"}], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[224]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SUND", "[", + RowBox[{"i", ",", "a", ",", "b"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"j", ",", "b", ",", "c"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"k", ",", "c", ",", "d"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"l", ",", "d", ",", "a"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"aux", "=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"SUNSimplify", "[", + RowBox[{"%", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}], "//", + RowBox[{ + RowBox[{"ReplaceAll", "[", + RowBox[{"#", ",", + RowBox[{ + RowBox[{"SUNTrace", "[", "a__", "]"}], "\[RuleDelayed]", + RowBox[{"SUNTrace", "[", + RowBox[{"a", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}]}]}], "]"}], + "&"}]}], "//", + RowBox[{ + RowBox[{"SUNSimplify", "[", + RowBox[{"#", ",", + RowBox[{"SUNFJacobi", "\[Rule]", "True"}], ",", + RowBox[{"SUNNToCACF", "\[Rule]", "False"}]}], "]"}], "&"}]}], "//", + RowBox[{ + RowBox[{"FCCanonicalizeDummyIndices", "[", + RowBox[{"#", ",", + RowBox[{"SUNIndexNames", "\[Rule]", + RowBox[{"{", + RowBox[{"m", ",", "n"}], "}"}]}]}], "]"}], "&"}]}]}]}], "Input", + CellLabel->"In[268]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["d", + TraditionalForm], + FormBox["l", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm], + FormBox["k", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm], + FormBox["i", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["j", + TraditionalForm]}]]}], TraditionalForm]], "Output", + CellLabel->"Out[268]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{ + FractionBox["1", "8"], " ", "\[ImaginaryI]", " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}]}], "+", + FractionBox[ + RowBox[{"3", " ", "\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "-", + RowBox[{ + FractionBox["1", "8"], " ", "\[ImaginaryI]", " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "+", + FractionBox[ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + RowBox[{ + FractionBox["1", "8"], " ", "\[ImaginaryI]", " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + FractionBox[ + RowBox[{"2", " ", "\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "-", + RowBox[{ + FractionBox["1", "8"], " ", "\[ImaginaryI]", " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "+", + FractionBox[ + RowBox[{"3", " ", "\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "-", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + RowBox[{ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], + SuperscriptBox["N", "2"]], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]]}], + SuperscriptBox["N", "2"]]}], TraditionalForm]], "Output", + CellLabel->"Out[269]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"SelectNotFree2", "[", + RowBox[{"aux", ",", "Complex"}], "]"}], "//", + RowBox[{ + RowBox[{"SUNSimplify", "[", + RowBox[{"#", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}], "&"}]}], "//", + RowBox[{ + RowBox[{"ReplaceAll", "[", + RowBox[{"#", ",", + RowBox[{ + RowBox[{"SUNTrace", "[", "a__", "]"}], "\[RuleDelayed]", + RowBox[{"SUNTrace", "[", + RowBox[{"a", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}]}]}], "]"}], + "&"}]}]], "Input", + CellLabel->"In[270]:="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + CellLabel->"Out[270]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SelectFree2", "[", + RowBox[{"aux", ",", "Complex"}], "]"}]], "Input", + CellLabel->"In[271]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "-", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + RowBox[{ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], + SuperscriptBox["N", "2"]], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]]}], + SuperscriptBox["N", "2"]]}], TraditionalForm]], "Output", + CellLabel->"Out[271]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "There is also a function analogous to ", + StyleBox["FCDiracIsolate", + FontWeight->"Bold"], + ", called ", + StyleBox["FCColorIsolate", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData["amp"], "Input", + CellLabel->"In[272]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2], + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2], + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2]]], + Editable->False]], + RowBox[{ + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["Glu2", + TraditionalForm], + FormBox["Glu4", + TraditionalForm], + FormBox["Glu5", + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu5", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[272]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ampIso", "=", + RowBox[{"FCColorIsolate", "[", + RowBox[{"amp", ",", + RowBox[{"Head", "\[Rule]", "colorS"}]}], "]"}]}]], "Input", + CellLabel->"In[273]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2], + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2], - + FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2], - + FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2]]], + Editable->False]], + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], ")"}], " ", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]}]]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[273]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"li", "=", + RowBox[{ + RowBox[{ + RowBox[{"Cases", "[", + RowBox[{"ampIso", ",", "_colorS", ",", "Infinity"}], "]"}], "//", + "DeleteDuplicates"}], "//", "Sort"}]}]], "Input", + CellLabel->"In[274]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]]}], ")"}], ",", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]]}], ")"}], ",", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]}]]}], ")"}]}], "}"}], TraditionalForm]], "Output", + CellLabel->"Out[274]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Notice that here we have color matrices in the fundamental representation \ +with explicit fundamental indices. Sadly, this was not available in FeynCalc \ +until the version 9. Such matrices are entered via ", + StyleBox["SUNTF", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNTF", "[", + RowBox[{"a", ",", "b", ",", "c"}], "]"}]], "Input", + CellLabel->"In[275]:="], + +Cell[BoxData[ + FormBox[ + SubsuperscriptBox["T", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}], + FormBox["a", + TraditionalForm]], TraditionalForm]], "Output", + CellLabel->"Out[275]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["SUNSimplify", + FontWeight->"Bold"], + " can automatically contract them" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SUNTF", "[", + RowBox[{"a1", ",", "b", ",", "c"}], "]"}], + RowBox[{"SUNTF", "[", + RowBox[{"a2", ",", "c", ",", "d"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"SUNSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[276]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}], + FormBox["a1", + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}], + FormBox["a2", + TraditionalForm]]}], TraditionalForm]], "Output", + CellLabel->"Out[276]="], + +Cell[BoxData[ + FormBox[ + SubscriptBox[ + RowBox[{"(", + SuperscriptBox["T", + FormBox[ + FormBox["a1", + TraditionalForm], + TraditionalForm]], + SuperscriptBox["T", + FormBox[ + FormBox["a2", + TraditionalForm], + TraditionalForm]], ")"}], + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + CellLabel->"Out[277]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SUNTF", "[", + RowBox[{"a1", ",", "b", ",", "c"}], "]"}], + RowBox[{"SUNTF", "[", + RowBox[{"a2", ",", "c", ",", "b"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"SUNSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[278]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}], + FormBox["a1", + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["c", + TraditionalForm], + FormBox["b", + TraditionalForm]}], + FormBox["a2", + TraditionalForm]]}], TraditionalForm]], "Output", + CellLabel->"Out[278]="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["a1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["a2", + TraditionalForm], + TraditionalForm]}]], "2"], TraditionalForm]], "Output", + CellLabel->"Out[279]="] +}, Open ]] +}, Open ]], + +Cell[TextData[StyleBox["In general, the color algebra subsystem of FeynCalc \ +is missing a lot of useful functionality and the performance is not \ +satisfactory. This is being worked on. We can do better and we will do \ +better!", "Item"]], "Text"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Loops", "Section"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Propagators (and products thereof) are represented via ", + StyleBox["FeynAmpDenominator", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FeynAmpDenominator", "[", + RowBox[{"PropagatorDenominator", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"q", ",", "D"}], "]"}], ",", "m"}], "]"}], "]"}]], "Input", + CellLabel->"In[280]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False]], TraditionalForm]], "Output", + CellLabel->"Out[280]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Again, for the external input we always use a shortcut", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{"q", ",", "m"}], "}"}], "]"}]], "Input", + CellLabel->"In[281]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False]], TraditionalForm]], "Output", + CellLabel->"Out[281]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["We can also have more propagators", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "m0"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q", "+", "p1"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q", "+", "p2"}], ",", "m1"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[282]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m0", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m0^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[282]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "The presence of ", + StyleBox["FeynAmpDenominator", + FontWeight->"Bold"], + " in an expression does not automatically mean that it is a loop amplitude. ", + StyleBox["FeynAmpDenominator", + FontWeight->"Bold"], + " can equally appear in tree level amplitudes, where it stands for the usual \ +4-dimensional propagator, like in amp" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{"amp", "\[IndentingNewLine]", + RowBox[{"Cases2", "[", + RowBox[{"amp", ",", "FAD"}], "]"}]}], "Input", + CellLabel->"In[283]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2], + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2], + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2]]], + Editable->False]], + RowBox[{ + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["Glu2", + TraditionalForm], + FormBox["Glu4", + TraditionalForm], + FormBox["Glu5", + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu5", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[283]="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2], + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2]]], + Editable->False]], + TraditionalForm], ",", + FormBox[ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + TraditionalForm], ",", + FormBox[ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2], + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + TraditionalForm]}], "}"}], TraditionalForm]], "Output", + CellLabel->"Out[284]="] +}, Open ]] +}, Open ]], + +Cell["\<\ +In FeynCalc there is no explicit way to distinguish between loop amplitudes \ +and tree-level amplitudes. When you use functions that manipulate loop \ +integrals, you need to tell them explicitly what is your loop momentum.\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell["Manipulations of FeynAmpDenominators", "Subsection"], + +Cell["\<\ +There are several functions, that are useful both for tree- and loop-level \ +amplitudes, depending on what we want to do\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell["For example, one can split one FeynAmpDenominator into many", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"k1", "-", "k2"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{"FeynAmpDenominatorSplit", "[", "%", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCE"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[285]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["k2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`k2, D], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`k2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k2", + TraditionalForm], "+", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k2 + $CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k2 + $CellContext`p2, D]], + "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[285]="], + +Cell[BoxData[ + FormBox[ + FormBox[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["k2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`k2, D], + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`k2, D]]], + Editable->False], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`p2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k2", + TraditionalForm], "+", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k2, D] + + FeynCalc`Momentum[$CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k2, D] + + FeynCalc`Momentum[$CellContext`p2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm], + TraditionalForm], TraditionalForm]], "Output", + CellLabel->"Out[286]="], + +Cell[BoxData[ + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"k1", "-", "k2"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}], "]"}]}]], "Output", + CellLabel->"Out[287]//StandardForm="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["or combine several into one", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FeynAmpDenominatorCombine", "[", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"k1", "-", "k2"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}], "]"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCE"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[288]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k2", + TraditionalForm], "+", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k2, D] + + FeynCalc`Momentum[$CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k2, D] + + FeynCalc`Momentum[$CellContext`p2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["k2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`k2, D], + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`k2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`p2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[288]="], + +Cell[BoxData[ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}], ",", + RowBox[{"k1", "-", "k2"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}]}], "]"}]], "Output", + CellLabel->"Out[289]//StandardForm="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "At the tree-level we often do not need the FeynAmpDenominators but rather \ +want to express everything in terms of explicit scalar products, in order to \ +exploit kinematic simplifications. This is handled by ", + StyleBox["FeynAmpDenominatorExplicit", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FeynAmpDenominatorExplicit", "[", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}], ",", + RowBox[{"k1", "-", "k2"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}]}], "]"}], "]"}]], "Input", + CellLabel->"In[291]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["k1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["k2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["k1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["k2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["k1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["k1", + TraditionalForm], + TraditionalForm], "2"], "-", + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["k2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["k2", + TraditionalForm], + TraditionalForm], "2"], "-", + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], ")"}]}], + TraditionalForm]], "Output", + CellLabel->"Out[291]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["ApartFF", "Subsection"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "For example, to cancel scalar products in the numerator we use ", + StyleBox["ApartFF", + FontWeight->"Bold"], + ", a very powerful partial fractioning routine that uses the algorithm of F. \ +Feng (2012, ", + ButtonBox["arXiv:1204.2314", + BaseStyle->"Hyperlink", + ButtonData->{ + URL["https://arxiv.org/abs/1204.2314"], None}, + ButtonNote->"https://arxiv.org/abs/1204.2314"], + " )" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "q"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "m"}], "}"}], ",", + RowBox[{"p", "+", "q"}]}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"ApartFF", "[", + RowBox[{"%", ",", + RowBox[{"{", "q", "}"}]}], "]"}]}], "Input", + CellLabel->"In[292]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p + $CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[292]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{"2", " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[293]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Of course, ", + StyleBox["ApartFF", + FontWeight->"Bold"], + " can also handle much more interesting cases" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "p"}], "]"}], "=", + RowBox[{"4", " ", + RowBox[{"m", "^", "2"}]}]}], ";"}], "\[IndentingNewLine]", + RowBox[{"int", "=", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", + RowBox[{"p", "/", "2"}], "+", "q"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", + RowBox[{"p", "/", "2"}], "+", "q"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"p", "/", "2"}], "+", "q"}], ",", "m"}], "}"}], ",", "q", ",", + + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{"p", "/", "2"}], ")"}]}], "+", "q"}], ",", "m"}], "}"}]}], + "]"}]}]}], "Input", + CellLabel->"In[294]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 + + Rational[-1, 2] $CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`k1 + + Rational[-1, 2] $CellContext`p + $CellContext`q, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], "2"], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FractionBox[ + FormBox["p", + TraditionalForm], "2"], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[Rational[1, 2] $CellContext`p + $CellContext`q, D], + + FeynCalc`Momentum[Rational[1, 2] $CellContext`p + $CellContext`q, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[Rational[-1, 2] $CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[ + Rational[-1, 2] $CellContext`p + $CellContext`q, D]], + "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[296]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "q", "}"}]}], "]"}]], "Input", + CellLabel->"In[297]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{"2", " ", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] + + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`k1, D] + + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], "2"]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{"2", " ", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k1", + TraditionalForm]}], "+", + FractionBox[ + FormBox["p", + TraditionalForm], "2"], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k1, D] + + Rational[1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`k1, D] + + Rational[1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], "2"]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[297]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"k", ",", "k"}], "]"}], "=", "0"}], + ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "p"}], "]"}], "=", + RowBox[{"m", "^", "2"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{"int", "=", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "p"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", + RowBox[{"2", " ", "p"}]}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "k", "-", + RowBox[{"2", " ", "p"}]}], ",", "m"}], "}"}]}], "]"}]}]}], "Input", + CellLabel->"In[298]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[(-2) $CellContext`p + $CellContext`q1, D], + FeynCalc`Momentum[(-2) $CellContext`p + $CellContext`q1, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k", + TraditionalForm]}], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k - + 2 $CellContext`p + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`k - + 2 $CellContext`p + $CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[301]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "p"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", + RowBox[{"2", " ", "p"}]}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "k", "-", + RowBox[{"2", " ", "p"}]}], ",", "m"}], "}"}]}], "]"}], ",", + RowBox[{"{", "q1", "}"}]}], "]"}]], "Input", + CellLabel->"In[302]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox["2", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] + + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`k, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[(-2) FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], (-2) + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], "2"]}]], + TraditionalForm], "-", + FormBox[ + FractionBox["1", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k", + TraditionalForm]}], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k, D] - 2 + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`k, D] - 2 + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[302]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["ApartFF", + FontWeight->"Bold"], + " does not really care, if it is a 1-loop or a multi-loop integral\ +\[LineSeparator]\[LineSeparator]2-loops:" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], "\[IndentingNewLine]", + RowBox[{"int", "=", + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"q2", ",", "p"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "p"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", ",", "m"}], "}"}], ",", + RowBox[{"q1", "-", "p"}], ",", + RowBox[{"q2", "-", "p"}], ",", + RowBox[{"q2", "-", "q1"}]}], "]"}]}]}]}], "Input", + CellLabel->"In[303]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`q1 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`q1 + $CellContext`q2, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[304]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[305]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"], + RowBox[{"4", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox["1", + RowBox[{"2", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{"4", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[305]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["3-loops?", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"q2", ",", "p2"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q3", ",", "p1"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "p3"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", ",", "m"}], "}"}], ",", + RowBox[{"{", "q3", "}"}], ",", + RowBox[{"q1", "-", "p3"}], ",", + RowBox[{"q2", "-", "p2"}], ",", + RowBox[{"q2", "-", "q1"}], ",", + RowBox[{"q2", "+", + RowBox[{"2", "q3"}]}]}], "]"}]}]}]], "Input", + CellLabel->"In[306]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p3 + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`p3 + $CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p2 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`p2 + $CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`q1 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`q1 + $CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "+", + RowBox[{"2", " ", + FormBox["q3", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2 + 2 $CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2 + 2 $CellContext`q3, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[306]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2", ",", "q3"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[307]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q3, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q3, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q3, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[307]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["FeynAmpDenominatorSimplify", "Subsection"], + +Cell[TextData[{ + "Another useful function for the manipulation of loop integrals (albeit by \ +far not as powerful as ", + StyleBox["ApartFF", + FontWeight->"Bold"], + ") is ", + StyleBox["FDS", + FontWeight->"Bold"], + " (", + StyleBox["FeynAmpDenominatorSimplify", + FontWeight->"Bold"], + ")" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["FDS", + FontWeight->"Bold"], + " tries to simplify loop integrals by shifting the loop momenta and putting \ +scaleless integrals to zero. However, since ", + StyleBox["FDS", + FontWeight->"Bold"], + " has no information about the topology of the input expression, what it \ +does is basically heuristics. This is why the output is not always \ +satisfactory. An improvement of ", + StyleBox["FDS", + FontWeight->"Bold"], + " using is one of the top priorities for the future FeynCalc versions" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{" ", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"q", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{"FeynAmpDenominatorSimplify", "[", + RowBox[{"%", ",", "q"}], "]"}]}]}]], "Input", + CellLabel->"In[308]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], TraditionalForm]], "Output", + CellLabel->"Out[308]="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + CellLabel->"Out[309]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"q", "-", "p1"}], ",", + RowBox[{"q", "-", "p2"}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"FeynAmpDenominatorSimplify", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[310]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p2 + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p2 + $CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[310]="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], "+", + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[311]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"q", "-", "k", "-", "p"}], ",", "m"}], "}"}], ",", "q"}], "]"}], + "-", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "m"}], "}"}], ",", + RowBox[{"q", "-", "p", "-", "k"}]}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"FeynAmpDenominatorSimplify", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[312]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + + FeynCalc`Momentum[-$CellContext`k - $CellContext`p + $CellContext`q, + D], + + FeynCalc`Momentum[-$CellContext`k - $CellContext`p + $CellContext`q, + D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], "-", + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k - $CellContext`p + $CellContext`q, + D], + FeynCalc`Momentum[-$CellContext`k - $CellContext`p + $CellContext`q, + D]]], + Editable->False]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[312]="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + CellLabel->"Out[313]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"l", "-", "p"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"l", "+", "q"}], ",", "m"}], "}"}], ",", + RowBox[{"l", "-", "t"}], ",", + RowBox[{"l", "+", "a"}], ",", + RowBox[{"l", "-", "b"}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"FDS", "[", + RowBox[{"%", ",", "l"}], "]"}]}], "Input", + CellLabel->"In[314]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l - $CellContext`p, D], + FeynCalc`Momentum[$CellContext`l - $CellContext`p, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`l + $CellContext`q, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "-", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l - $CellContext`t, D], + FeynCalc`Momentum[$CellContext`l - $CellContext`t, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["a", + TraditionalForm], "+", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`a + $CellContext`l, D], + FeynCalc`Momentum[$CellContext`a + $CellContext`l, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "-", + FormBox["b", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`b + $CellContext`l, D], + FeynCalc`Momentum[-$CellContext`b + $CellContext`l, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[314]="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l, D], + FeynCalc`Momentum[$CellContext`l, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["a", + TraditionalForm], "+", + FormBox["l", + TraditionalForm], "+", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`a, D] + + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`t, D], + FeynCalc`Momentum[$CellContext`a, D] + + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`t, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["b", + TraditionalForm]}], "+", + FormBox["l", + TraditionalForm], "+", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`b, D] + + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`t, D], - + FeynCalc`Momentum[$CellContext`b, D] + + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`t, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "-", + FormBox["p", + TraditionalForm], "+", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l, D] - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`t, D], + FeynCalc`Momentum[$CellContext`l, D] - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`t, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "+", + FormBox["q", + TraditionalForm], "+", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q, D] + + FeynCalc`Momentum[$CellContext`t, D], + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q, D] + + FeynCalc`Momentum[$CellContext`t, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[315]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["TID", "Subsection"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "1-loop tensor reduction using Passarino-Veltman method is handled by ", + StyleBox["TID", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{"q", ",", "m"}], "}"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"TID", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[316]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False]], TraditionalForm]], "Output", + CellLabel->"Out[316]="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]]}], + RowBox[{"D", " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[317]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q", ",", "p"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "m0"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q", "+", "p"}], ",", "m1"}], "}"}]}], + "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"TID", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[318]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m0", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m0^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p + $CellContext`q, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[318]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"]}], + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m0", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m0^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m0", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m0^2], + Editable->False], ")"}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"], "+", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[319]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "By default, ", + StyleBox["TID", + FontWeight->"Bold"], + " tries to reduce everything to scalar integrals with unit denominators.\n\ +However, if it encounters zero Gram determinants, it automatically switches \ +to the coefficient functions" +}], "Text"], + +Cell[BoxData[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "p"}], "]"}], "=", "0"}], ";"}]}], "Input", + CellLabel->"In[320]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"TID", "[", + RowBox[{"int", ",", "q"}], "]"}]], "Input", + CellLabel->"In[322]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + RowBox[{"2", " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]], + TraditionalForm], "-", + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + TagBox[ + FormBox[ + RowBox[{ + SubscriptBox["\<\"B\"\>", "\<\"1\"\>"], "(", + RowBox[{"0", ",", + SuperscriptBox["m0", "2"], ",", + SuperscriptBox["m1", "2"]}], ")"}], + TraditionalForm], + HoldForm], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[322]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "If we want the result to be express entirely in terms of Passarino-Veltman \ +function, i. e. without FAD\[CloseCurlyQuote]s, we can use ", + StyleBox["ToPaVe", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"TID", "[", + RowBox[{"int", ",", "q", ",", + RowBox[{"ToPaVe", "\[Rule]", "True"}]}], "]"}]], "Input", + CellLabel->"In[323]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + TagBox[ + FormBox[ + RowBox[{ + SubscriptBox["\<\"A\"\>", "\<\"0\"\>"], "(", + SuperscriptBox["m1", "2"], ")"}], + TraditionalForm], + HoldForm], + TraditionalForm]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + TagBox[ + FormBox[ + RowBox[{ + SubscriptBox["\<\"B\"\>", "\<\"1\"\>"], "(", + RowBox[{"0", ",", + SuperscriptBox["m0", "2"], ",", + SuperscriptBox["m1", "2"]}], ")"}], + TraditionalForm], + HoldForm], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[323]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["ToPaVe", + FontWeight->"Bold"], + " is actually also a standalone function, so it can be used independently of \ +", + StyleBox["TID", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], "\[IndentingNewLine]", + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{"{", + RowBox[{"q", "+", "p1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q", "+", "p2"}], "}"}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"ToPaVe", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[324]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[325]="], + +Cell[BoxData[ + FormBox[ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + FormBox[ + TagBox[ + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"0\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm], + HoldForm], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[326]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +Even if there are no Gram determinants, for some tensor integrals the full \ +result in terms of scalar integrals is just too large\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{"{", + RowBox[{"q", "+", "p1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q", "+", "p2"}], "}"}]}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"res", "=", + RowBox[{"TID", "[", + RowBox[{"int", ",", "q"}], "]"}]}]}], "Input", + CellLabel->"In[327]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[327]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}]}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "4"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"4", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"8", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"8", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], "+", + RowBox[{"4", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], "+", + RowBox[{"8", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "+", + RowBox[{"8", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "+", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "-", + RowBox[{"8", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}]}]}], ")"}], "/", + + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], "+", + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[328]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +Of course we collect with respect to FAD\[CloseCurlyQuote]s and isolate the \ +prefactors, but the full result still remains messy\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Collect2", "[", + RowBox[{"res", ",", "FeynAmpDenominator", ",", + RowBox[{"IsolateNames", "\[Rule]", "KK"}]}], "]"}]], "Input", + CellLabel->"In[329]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + TagBox[ + RowBox[{"KK", "(", "2211", ")"}], + HoldForm], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + TagBox[ + RowBox[{"KK", "(", "2214", ")"}], + HoldForm], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], "+", + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + TagBox[ + RowBox[{"KK", "(", "2216", ")"}], + HoldForm], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + TagBox[ + RowBox[{"KK", "(", "2218", ")"}], + HoldForm], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[329]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "In such cases, we can get a much more compact results , if we stick to \ +coefficient functions and do not demand the full reduction to scalars. To do \ +so, use the option ", + StyleBox["UsePaVeBasis", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"res", "=", + RowBox[{"TID", "[", + RowBox[{"int", ",", "q", ",", + RowBox[{"UsePaVeBasis", "\[Rule]", "True"}]}], "]"}]}]], "Input", + CellLabel->"In[330]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"00\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"11\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], ")"}], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"12\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"22\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}]}], TraditionalForm]], "Output", + CellLabel->"Out[330]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "The resulting coefficient functions can be further reduced with ", + StyleBox["PaVeReduce", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"PaVeReduce", "[", "res", "]"}]], "Input", + CellLabel->"In[331]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"B\"\>", "\<\"0\"\>"], "(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], ",", "0", ",", "0"}], ")"}], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{"2", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"3", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}]}], ")"}], "2"]}], ")"}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"B\"\>", "\<\"0\"\>"], "(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], ",", "0", ",", "0"}], ")"}], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"2", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{"3", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}]}], ")"}], "2"]}], ")"}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"B\"\>", "\<\"0\"\>"], "(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "-", + RowBox[{"2", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], ",", "0", ",", "0"}], ")"}], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "4"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "-", + RowBox[{"4", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "-", + RowBox[{"4", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{"2", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"3", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{"3", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"6", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{"3", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"6", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "-", + RowBox[{"2", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"3", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"2", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"4", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "+", + RowBox[{"2", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{"4", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}]}], ")"}], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"0\"\>"], "(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], ",", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], ",", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "-", + RowBox[{"2", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "3"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "3"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "3"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "3"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "+", + RowBox[{"2", " ", "D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "+", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "3"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], "-", + RowBox[{"D", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], " ", + SuperscriptBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], "2"]}]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], "2"], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}]}], ")"}], "2"]}], ")"}]}]}], + TraditionalForm]], "Output", + CellLabel->"Out[331]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["FCMultiLoopTID", "Subsection"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["TID", + FontWeight->"Bold"], + " works only at 1-loop. For multi-loop integrals we can use ", + StyleBox["FCMultiLoopTID", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q1", ",", "mu"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q2", ",", "nu"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "q2"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", ",", "m2"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "q2"}], "}"}]}], "]"}]}]], "Input", + CellLabel->"In[332]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1 - $CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1 - $CellContext`q2, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[332]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCMultiLoopTID", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[333]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "+", + SuperscriptBox["m2", "2"]}], ")"}], "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}], + RowBox[{"4", " ", "D", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "+", + SuperscriptBox["m2", "2"]}], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}], + RowBox[{"4", " ", "D", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[333]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q1", ",", "mu"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q2", ",", "nu"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{"p1", "-", "q2"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "p1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", "-", "p1"}], "}"}]}], "]"}]}]], "Input", + CellLabel->"In[334]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1 - $CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1 - $CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q2, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[334]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCMultiLoopTID", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[335]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}]}], + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"1", "-", "D"}], ")"}], " ", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]]}], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}]}], + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"1", "-", "D"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}]}], ")"}]}], + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", "D"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[335]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +One should keep in mind, that these multi-loop decompositions may become very \ +large\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q1", ",", "mu"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q1", ",", "rho"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q2", ",", "nu"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "+", "p2"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "p1"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "q2"}], "}"}]}], "]"}]}]}]], "Input", + CellLabel->"In[336]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q1, D], + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q1, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q2, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1 - $CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1 - $CellContext`q2, D]]], + Editable->False]}]], TraditionalForm]], "Output", + CellLabel->"Out[336]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"res", "=", + RowBox[{"FCMultiLoopTID", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}]], "Input", + CellLabel->"In[337]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[337]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Again, if the kinematics is known in advance, one should specify it \ +beforehand. In this case we might obtain a much shorter result. For example, \ +if ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SubscriptBox["p", "1"], "\[CenterDot]", + SubscriptBox["p", "1"]}], TraditionalForm]]], + "=", + Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SubscriptBox["p", "2"], "\[CenterDot]", + SubscriptBox["p", "2"]}], "=", "0"}], TraditionalForm]]], + ", then instead of doing" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"res", "/.", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"FCI", "[", + RowBox[{"SPD", "[", + RowBox[{"p1", ",", "p1"}], "]"}], "]"}], "|", + RowBox[{"FCI", "[", + RowBox[{"SPD", "[", + RowBox[{"p2", ",", "p2"}], "]"}], "]"}]}], "\[Rule]", "0"}], + "}"}]}]], "Input", + CellLabel->"In[338]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}]]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], ")"}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[338]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["One should better do", "Text"], + +Cell[BoxData[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p1", ",", "p1"}], "]"}], "=", "0"}], + ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p2", ",", "p2"}], "]"}], "=", "0"}], ";"}]}], "Input", + CellLabel->"In[339]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCMultiLoopTID", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[342]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}]], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}]}], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[342]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["which is much smarter and much faster.", "Text"], + +Cell[BoxData[ + RowBox[{"FCClearScalarProducts", "[", "]"}]], "Input", + CellLabel->"In[343]:="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Auxiliary functions", "Subsection"], + +Cell["\<\ +There are also some auxiliary functions related to loop integrals, that can \ +be useful in many ways\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell["\<\ +Consider for example the sum of the four 1-loop gluon self-energy diagrams\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"amp", "=", + RowBox[{ + RowBox[{ + RowBox[{"DiracTrace", "[", + RowBox[{ + RowBox[{"(", + RowBox[{"MQ", "-", + RowBox[{"GSD", "[", "q", "]"}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GAD", "[", "\[Nu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "b", "}"}], ",", "Col3", ",", "Col4"}], "]"}]}], ")"}], + ".", + RowBox[{"(", + RowBox[{"MQ", "+", + RowBox[{"GSD", "[", + RowBox[{"p", "-", "q"}], "]"}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GAD", "[", "\[Mu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "a", "}"}], ",", "Col4", ",", "Col3"}], "]"}]}], + ")"}]}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "MQ"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", "MQ"}], "}"}]}], "]"}]}], "-", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", "\[Mu]"}], "]"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "d"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "d"}], "]"}]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"2", " ", "p"}], "-", "q"}], ",", "\[Rho]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor5", ",", "\[Mu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", + RowBox[{"2", " ", "q"}]}], ",", "\[Mu]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor5", ",", "\[Rho]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "-", "q"}], ",", "Lor5"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Rho]"}], "]"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"-", "2"}], " ", "p"}], "+", "q"}], ",", "\[Sigma]"}], + "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor6", ",", "\[Nu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"p", "-", + RowBox[{"2", " ", "q"}]}], ",", "\[Nu]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor6", ",", "\[Sigma]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"p", "+", "q"}], ",", "Lor6"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Nu]", ",", "\[Sigma]"}], "]"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", "GaugeXi"}], ")"}], "2"]}], " ", + RowBox[{"FAD", "[", + RowBox[{"q", ",", "q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"p", "-", "q"}], ",", "Lor6"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Rho]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Sigma]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", "Lor5"}], "]"}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", "GaugeXi"}], ")"}], " ", + RowBox[{"FAD", "[", + RowBox[{"q", ",", "q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Rho]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Sigma]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor5", ",", "Lor6"}], "]"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", "GaugeXi"}], ")"}], " ", + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"p", "-", "q"}], ",", "Lor6"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", "Lor5"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor5", ",", "Lor6"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "d"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "d"}], "]"}]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{"1", "-", "GaugeXi"}], ")"}]}], " ", + RowBox[{"FAD", "[", + RowBox[{"q", ",", "q"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Rho]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Sigma]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FAD", "[", "q", "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"\[ImaginaryI]", " ", + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Sigma]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Nu]", ",", "\[Rho]"}], "]"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "$AL$2586"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "$AL$2586"}], "]"}]}], "-", + RowBox[{"\[ImaginaryI]", " ", + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "$AL$2587"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "$AL$2587"}], "]"}]}], "+", + RowBox[{ + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "$AL$2588"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "$AL$2588"}], "]"}]}]}], ")"}]}], "+", + + RowBox[{"\[ImaginaryI]", " ", + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Rho]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Nu]", ",", "\[Sigma]"}], "]"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "$AL$2590"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "$AL$2590"}], "]"}]}]}], + ")"}]}]}]}]], "Input", + CellLabel->"In[344]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"MQ", "-", + FormBox[ + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubscriptBox["g", "s"], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col4", + TraditionalForm]}], + FormBox["b", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{"MQ", "+", + FormBox[ + RowBox[{"\[Gamma]", "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubscriptBox["g", "s"], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col4", + TraditionalForm], + FormBox["Col3", + TraditionalForm]}], + FormBox["a", + TraditionalForm]]}], ")"}]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]], + "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], "-", + RowBox[{ + FractionBox["1", "2"], " ", + SubsuperscriptBox["g", "s", "2"], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False]}]], + TraditionalForm]}], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False], "2"]}]]}], + TraditionalForm]}], ")"}]}], "+", + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False]}]]}], + TraditionalForm], "-", + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FractionBox[ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + TagBox["\[Xi]", + TraditionalForm], "-", "1"}], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2586", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2586", + TraditionalForm]}]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2587", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2587", + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2588", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2588", + TraditionalForm]}]]}]}], ")"}]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2590", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2590", + TraditionalForm]}]]}]}], ")"}]}]}], TraditionalForm]], "Output", + CellLabel->"Out[344]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Is there a simple way to extract all the unique loop integrals that appear \ +in this expression, like we can do for Dirac and Color strcutures? Yes, if we \ +use ", + StyleBox["FCLoopIsolate", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ampIso", "=", + RowBox[{"FCLoopIsolate", "[", + RowBox[{"amp", ",", + RowBox[{"{", "q", "}"}], ",", + RowBox[{"Head", "\[Rule]", "loopInt"}]}], "]"}]}]], "Input", + CellLabel->"In[345]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}]}], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2586", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2586", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2587", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2587", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2588", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2588", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2590", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2590", + TraditionalForm], + TraditionalForm]}]]}]}], ")"}], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2586", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2586", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2587", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2587", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2588", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2588", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2590", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2590", + TraditionalForm], + TraditionalForm]}]]}]}], ")"}], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"loopInt", "(", + FormBox[ + RowBox[{ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox["MQ", "2"]}], " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}]}], + TraditionalForm], ")"}], "/", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[345]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Cases2", "[", + RowBox[{"ampIso", ",", "loopInt"}], "]"}]], "Input", + CellLabel->"In[346]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + RowBox[{ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox["MQ", "2"]}], " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}]}], + TraditionalForm], ")"}], "/", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]}], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}]}], "}"}], TraditionalForm]], "Output", + CellLabel->"Out[346]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +The number of list elements will be much smaller if we first contract all the \ +free Lorentz indices \ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"ampIso", "=", + RowBox[{"FCLoopIsolate", "[", + RowBox[{ + RowBox[{"Contract", "[", "amp", "]"}], ",", + RowBox[{"{", "q", "}"}], ",", + RowBox[{"Head", "\[Rule]", "loopInt"}]}], "]"}]}], + ";"}], "\[IndentingNewLine]", + RowBox[{"Cases2", "[", + RowBox[{"ampIso", ",", "loopInt"}], "]"}]}], "Input", + CellLabel->"In[347]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + RowBox[{ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox["MQ", "2"]}], " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}]}], + TraditionalForm], ")"}], "/", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]}], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "4"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "4"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}]}], "}"}], TraditionalForm]], "Output", + CellLabel->"Out[348]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "What about the loop momenta inside the Dirac trace?\nThe trick is to use ", + StyleBox["FCTraceExpand", + FontWeight->"Bold"], + " before applying ", + StyleBox["FCLoopIsolate", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"ampIso", "=", + RowBox[{"FCLoopIsolate", "[", + RowBox[{ + RowBox[{ + RowBox[{"amp", "//", "Contract"}], "//", "FCTraceExpand"}], ",", + RowBox[{"{", "q", "}"}], ",", + RowBox[{"Head", "\[Rule]", "loopInt"}]}], "]"}]}], + ";"}], "\[IndentingNewLine]", + RowBox[{"Cases2", "[", + RowBox[{"ampIso", ",", "loopInt"}], "]"}]}], "Input", + CellLabel->"In[349]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "4"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "4"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}]}], "}"}], TraditionalForm]], "Output", + CellLabel->"Out[350]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["FCTraceExpand", + FontWeight->"Bold"], + " expands Dirac traces using linearity, without computing anything" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"DiracTrace", "[", + RowBox[{ + RowBox[{"GA", "[", "i", "]"}], "+", + RowBox[{"GA", "[", "j", "]"}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"FCTraceExpand", "[", "%", "]"}]}], "Input", + CellLabel->"In[351]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + TraditionalForm], ")"}], TraditionalForm]], "Output", + CellLabel->"Out[351]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"tr", "(", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ")"}], "+", + RowBox[{"tr", "(", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + CellLabel->"Out[352]="] +}, Open ]] +}, Open ]], + +Cell[TextData[{ + StyleBox["FCLoopIsolate", + FontWeight->"Bold"], + " is equally useful for any number of loops. However, if we are explicitly \ +interested in the multi-loop integrals, we should also know the FCLoopBasis* \ +functions" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[TextData[{ + StyleBox["FCLoopBasisIncompleteQ", + FontWeight->"Bold"], + " acts on a single loop integral and returns True, if the propagators of \ +this integral do not form a basis." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l", "+", "p"}], ",", "m"}], "}"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisIncompleteQ", "[", + RowBox[{"%", ",", + RowBox[{"{", "q1", "}"}]}], "]"}]}], "Input", + CellLabel->"In[353]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["l", + TraditionalForm]}], "+", + FormBox["p", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l + $CellContext`p + $CellContext`q1, + D], + FeynCalc`Momentum[-$CellContext`l + $CellContext`p + $CellContext`q1, + D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[353]="], + +Cell[BoxData[ + FormBox["True", TraditionalForm]], "Output", + CellLabel->"Out[354]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FCI", "[", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l", "+", "p"}], ",", "m"}], "}"}]}], "]"}], + "]"}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisIncompleteQ", "[", + RowBox[{"%", ",", + RowBox[{"{", "q1", "}"}]}], "]"}]}], "Input", + CellLabel->"In[355]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["l", + TraditionalForm]}], "+", + FormBox["p", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[355]="], + +Cell[BoxData[ + FormBox["True", TraditionalForm]], "Output", + CellLabel->"Out[356]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "What is missing in the propagator basis of this integral? ", + StyleBox["FCLoopBasisFindCompletion", + FontWeight->"Bold"], + " can tell" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCLoopBasisFindCompletion", "[", + RowBox[{ + RowBox[{"FCI", "[", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l", "+", "p"}], ",", "m"}], "}"}]}], "]"}], "]"}], + ",", + RowBox[{"{", "q1", "}"}]}], "]"}]], "Input", + CellLabel->"In[357]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["l", + TraditionalForm]}], "+", + FormBox["p", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm], ",", + RowBox[{"{", + RowBox[{ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], "}"}]}], "}"}], TraditionalForm]], "Output", + CellLabel->"Out[357]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Let us go to two 2-loops", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "q2"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", ",", "m2"}], "}"}]}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisIncompleteQ", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}], "Input", + CellLabel->"In[358]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[358]="], + +Cell[BoxData[ + FormBox["False", TraditionalForm]], "Output", + CellLabel->"Out[359]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l1"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "l2"}], ",", "m2"}], "}"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisIncompleteQ", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}], "Input", + CellLabel->"In[360]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l1 + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`l1 + $CellContext`q1, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l2 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`l2 + $CellContext`q2, D]], + "-", $CellContext`m2^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[360]="], + +Cell[BoxData[ + FormBox["True", TraditionalForm]], "Output", + CellLabel->"Out[361]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["And the missing propagators are", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCLoopBasisFindCompletion", "[", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l1"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "l2"}], ",", "m2"}], "}"}]}], "]"}], ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[362]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l1, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`l2, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}]}]], + TraditionalForm], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["l1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ",", + RowBox[{ + FormBox[ + FormBox["l2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ",", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}]}], "}"}]}], "}"}], TraditionalForm]], "Output", + CellLabel->"Out[362]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["\<\ +How about integrals that have an overdetermined basis of propagators?\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "q2"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "l2"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q2", ",", "l1"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l1"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "l2"}], ",", "m2"}], "}"}]}], + "]"}]}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisOverdeterminedQ", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}], "Input", + CellLabel->"In[363]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["l1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["l2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l1 + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`l1 + $CellContext`q1, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l2 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`l2 + $CellContext`q2, D]], + "-", $CellContext`m2^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[363]="], + +Cell[BoxData[ + FormBox["False", TraditionalForm]], "Output", + CellLabel->"Out[364]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"int", "=", + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "+", "l"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "+", "l"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "l"}], ",", "m1"}], "}"}]}], + "]"}]}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisOverdeterminedQ", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}], "Input", + CellLabel->"In[365]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l + $CellContext`q1, D], + FeynCalc`Momentum[$CellContext`l + $CellContext`q1, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`l + $CellContext`q1, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l + $CellContext`q2, D], + FeynCalc`Momentum[$CellContext`l + $CellContext`q2, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`l + $CellContext`q2, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + CellLabel->"Out[365]="], + +Cell[BoxData[ + FormBox["True", TraditionalForm]], "Output", + CellLabel->"Out[366]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Overdetermined basis means that the integral can partial-fractioned with ", + StyleBox["ApartFF", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"res", "=", + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}]], "Input", + CellLabel->"In[367]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + FractionBox["2", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "-", + SuperscriptBox[ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["l", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[(-2) FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D], (-2) + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]}]]}], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "-", + SuperscriptBox[ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["l", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[(-2) FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D], (-2) + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["l", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[(-2) FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D], (-2) + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "-", + SuperscriptBox[ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + CellLabel->"Out[367]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Notice that for every single integral in the output of ", + StyleBox["ApartFF", + FontWeight->"Bold"], + " the basis is not overdetermined anymore" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"FCLoopBasisOverdeterminedQ", "[", + RowBox[{"#", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{"List", "@@", "res"}], ")"}]}]], "Input", + CellLabel->"In[368]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{"False", ",", "False", ",", "False"}], "}"}], + TraditionalForm]], "Output", + CellLabel->"Out[368]="] +}, Open ]] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + Cell["More About", "TutorialMoreAboutSection", CellID->23220180], @@ -772,8 +72012,8 @@ Cell["XXXX", "TutorialRelatedLinks", }, Open ]] }, Open ]] }, -WindowSize->{957, 770}, -WindowMargins->{{Automatic, 476}, {Automatic, 91}}, +WindowSize->{1147, 770}, +WindowMargins->{{Automatic, 349}, {Automatic, 29}}, PrivateNotebookOptions->{"FileOutlineCache"->False}, CreateCellID->False, TrackCellChangeTimes->False, From 9bcee388c21ceb7ba5fa911de409621506f3379b Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 20 Jun 2020 18:49:17 +0200 Subject: [PATCH 83/86] Added documentation for FCAttachTypesettingRule and FCRemoveTypesettingRules. --- FeynCalc/DocSource/English/Guides/FeynCalc.nb | 18 +- .../Symbols/FCAttachTypesettingRule.nb | 698 ++++++++++++++++++ .../Symbols/FCRemoveTypesettingRules.nb | 489 ++++++++++++ 3 files changed, 1204 insertions(+), 1 deletion(-) create mode 100644 FeynCalc/DocSource/English/ReferencePages/Symbols/FCAttachTypesettingRule.nb create mode 100644 FeynCalc/DocSource/English/ReferencePages/Symbols/FCRemoveTypesettingRules.nb diff --git a/FeynCalc/DocSource/English/Guides/FeynCalc.nb b/FeynCalc/DocSource/English/Guides/FeynCalc.nb index f8ab30da7..d7046e471 100644 --- a/FeynCalc/DocSource/English/Guides/FeynCalc.nb +++ b/FeynCalc/DocSource/English/Guides/FeynCalc.nb @@ -3806,6 +3806,22 @@ Cell[TextData[{ }], "GuideText", CellID->593077025], +Cell[TextData[{ + Cell[TextData[ButtonBox["FCAttachTypesettingRule", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/FCAttachTypesettingRule"]], + "InlineFunctionSans"], + ", ", + Cell[TextData[ButtonBox["FCRemoveTypesettingRules", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/FCRemoveTypesettingRules"]], + "InlineFunctionSans"], + " ", + StyleBox["\[LongDash]", "GuideEmDash"], + " custom typesetting rules" +}], "GuideText", + CellID->1383043437], + Cell[TextData[{ Cell[TextData[ButtonBox["FCFAConvert", BaseStyle->"Link", @@ -4389,7 +4405,7 @@ Cell["Related Links", "GuideRelatedLinksSection", CellID->415694148] }, WindowSize->{1194, 889}, -WindowMargins->{{Automatic, 577}, {196, Automatic}}, +WindowMargins->{{Automatic, 193}, {34, Automatic}}, PrivateNotebookOptions->{"FileOutlineCache"->False}, CreateCellID->False, TrackCellChangeTimes->False, diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/FCAttachTypesettingRule.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/FCAttachTypesettingRule.nb new file mode 100644 index 000000000..16337f187 --- /dev/null +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/FCAttachTypesettingRule.nb @@ -0,0 +1,698 @@ +(* Content-type: application/vnd.wolfram.mathematica *) + +(*** Wolfram Notebook File ***) +(* http://www.wolfram.com/nb *) + +(* CreatedBy='Mathematica 10.4' *) + +(*CacheID: 234*) +(* Internal cache information: +NotebookFileLineBreakTest +NotebookFileLineBreakTest +NotebookDataPosition[ 158, 7] +NotebookDataLength[ 17572, 688] +NotebookOptionsPosition[ 11917, 483] +NotebookOutlinePosition[ 12529, 507] +CellTagsIndexPosition[ 12450, 502] +WindowFrame->Normal*) + +(* Beginning of Notebook Content *) +Notebook[{ +Cell[TextData[{ + "New in: ", + Cell["9.3", "HistoryData", + CellTags->"New"], + " | Modified in: ", + Cell[" ", "HistoryData", + CellTags->"Modified"], + " | Obsolete in: ", + Cell[" ", "HistoryData", + CellTags->"Obsolete"], + " | Excised in: ", + Cell[" ", "HistoryData", + CellTags->"Excised"] +}], "History", + CellID->1247902091], + +Cell[CellGroupData[{ + +Cell["Categorization", "CategorizationSection", + CellID->1122911449], + +Cell["Symbol", "Categorization", + CellLabel->"Entity Type", + CellID->686433507], + +Cell["FeynCalc", "Categorization", + CellLabel->"Paclet Name", + CellID->605800465], + +Cell["FeynCalc`", "Categorization", + CellLabel->"Context", + CellID->468444828], + +Cell["FeynCalc/ref/FCAttachTypesettingRule", "Categorization", + CellLabel->"URI"] +}, Closed]], + +Cell[CellGroupData[{ + +Cell["Keywords", "KeywordsSection", + CellID->477174294], + +Cell["XXXX", "Keywords", + CellID->1164421360] +}, Closed]], + +Cell[CellGroupData[{ + +Cell["Syntax Templates", "TemplatesSection", + CellID->1872225408], + +Cell[BoxData[""], "Template", + CellLabel->"Additional Function Template", + CellID->1562036412], + +Cell[BoxData[""], "Template", + CellLabel->"Arguments Pattern", + CellID->158391909], + +Cell[BoxData[""], "Template", + CellLabel->"Local Variables", + CellID->1360575930], + +Cell[BoxData[""], "Template", + CellLabel->"Color Equal Signs", + CellID->793782254] +}, Closed]], + +Cell[CellGroupData[{ + +Cell["Details", "DetailsSection", + CellID->307771771], + +Cell["XXXX", "Details", + CellLabel->"Lead", + CellID->670882175], + +Cell["XXXX", "Details", + CellLabel->"Developers", + CellID->350963985], + +Cell["XXXX", "Details", + CellLabel->"Authors", + CellID->8391405], + +Cell["XXXX", "Details", + CellLabel->"Feature Name", + CellID->3610269], + +Cell["XXXX", "Details", + CellLabel->"QA", + CellID->401364205], + +Cell["XXXX", "Details", + CellLabel->"DA", + CellID->350204745], + +Cell["XXXX", "Details", + CellLabel->"Docs", + CellID->732958810], + +Cell["XXXX", "Details", + CellLabel->"Features Page Notes", + CellID->222905350], + +Cell["XXXX", "Details", + CellLabel->"Comments", + CellID->240026365] +}, Closed]], + +Cell[CellGroupData[{ + +Cell["FCAttachTypesettingRule", "ObjectName", + CellID->1224892054], + +Cell[TextData[{ + Cell[" ", "ModInfo"], + Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"expr", ",", " ", "..."}], "]"}]], "InlineFormula"], + " \[LineSeparator]attaches a specific TraditionalForm typesetting rule to \ +expr. It doesn't change any properties of expr apart from adding a \ +FormatValue with a MakeBoxes rule." +}], "Usage", + CellChangeTimes->{{3.801660135927793*^9, 3.801660156137327*^9}}, + CellID->982511436], + +Cell["Following choices are possible:", "Notes", + CellChangeTimes->{{3.801660164798942*^9, 3.801660178471857*^9}, + 3.801660210884828*^9}, + CellID->1067943069], + +Cell["\<\ +FCAttachTypesettingRule[expr_, str] +FCAttachTypesettingRules[expr, {SubscriptBox, var, sub}] +FCAttachTypesettingRules[expr, {SuperscriptBox, var, sup}] +FCAttachTypesettingRules[expr, {SubsuperscriptBox, var, sub, sup}]\ +\>", "Notes", + CellChangeTimes->{{3.801660180195153*^9, 3.8016601825246067`*^9}}, + CellID->272772993], + +Cell["\<\ +Use FCRemoveTypesettingRules to remove all typesetting rules attached to expr.\ +\>", "Notes", + CellID->2027770141] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Tutorials", "TutorialsSection", + CellID->250839057], + +Cell["XXXX", "Tutorials", + CellID->341631938] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Related Demonstrations", "RelatedDemonstrationsSection", + CellID->1268215905], + +Cell["XXXX", "RelatedDemonstrations", + CellID->1129518860] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Related Links", "RelatedLinksSection", + CellID->1584193535], + +Cell["XXXX", "RelatedLinks", + CellID->1038487239] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["See Also", "SeeAlsoSection", + CellID->1255426704], + +Cell[TextData[ButtonBox["FCRemoveTypesettingRules", + BaseStyle->"Link", + ButtonData:>"paclet:FeynCalc/ref/FCRemoveTypesettingRules", + ButtonNote->"FCRemoveTypesettingRules"]], "SeeAlso", + CellChangeTimes->{{3.801660006476696*^9, 3.801660007879281*^9}}, + CellID->830480392] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["More About", "MoreAboutSection", + CellID->38303248], + +Cell["XXXX", "MoreAbout", + CellID->1665078683] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[GridBox[{ + { + StyleBox["Examples", "PrimaryExamplesSection"], + ButtonBox[ + RowBox[{ + RowBox[{"More", " ", "Examples"}], " ", "\[RightTriangle]"}], + BaseStyle->"ExtendedExamplesLink", + ButtonData:>"ExtendedExamples"]} + }], + $Line = 0; Null]], "PrimaryExamplesSection", + CellID->880084151], + +Cell[CellGroupData[{ + +Cell[BoxData["mu"], "Input", + CellChangeTimes->{{3.801660231344944*^9, 3.801660231597707*^9}}, + CellLabel->"In[384]:=", + CellID->1936456490], + +Cell[BoxData[ + FormBox["mu", TraditionalForm]], "Output", + CellChangeTimes->{3.801660232013761*^9, 3.801660284362597*^9}, + CellLabel->"Out[384]=", + CellID->1384497776] +}, Open ]], + +Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"mu", ",", "\"\<\[Mu]\>\""}], "]"}]], "Input", + CellChangeTimes->{{3.8016602364209337`*^9, 3.8016602413588123`*^9}}, + CellLabel->"In[385]:=", + CellID->1562186645], + +Cell[CellGroupData[{ + +Cell[BoxData["mu"], "Input", + CellChangeTimes->{{3.801660242188334*^9, 3.801660242461298*^9}}, + CellLabel->"In[386]:=", + CellID->40423038], + +Cell[BoxData[ + FormBox["\[Mu]", TraditionalForm]], "Output", + CellChangeTimes->{3.801660242794482*^9, 3.801660285361271*^9}, + CellLabel->"Out[386]=", + CellID->2003189628] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"mc", "[", "\"\\"", "]"}]], "Input", + CellChangeTimes->{{3.8016602562575274`*^9, 3.801660261283016*^9}}, + CellLabel->"In[387]:=", + CellID->1431688149], + +Cell[BoxData[ + FormBox[ + RowBox[{"mc", "(", "\<\"d_ss\"\>", ")"}], TraditionalForm]], "Output", + CellChangeTimes->{{3.801660262039912*^9, 3.801660286059145*^9}}, + CellLabel->"Out[387]=", + CellID->1291154918] +}, Open ]], + +Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{ + RowBox[{"mc", "[", "\"\\"", "]"}], ",", + RowBox[{"{", + RowBox[{"SubscriptBox", ",", "\"\\"", ",", "\"\\""}], "}"}]}], + "]"}]], "Input", + CellChangeTimes->{{3.801660226045578*^9, 3.801660226045827*^9}}, + CellLabel->"In[388]:=", + CellID->1994809373], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"mc", "[", "\"\\"", "]"}]], "Input", + CellLabel->"In[389]:=", + CellID->727675022], + +Cell[BoxData[ + FormBox[ + SubscriptBox["d", "ss"], TraditionalForm]], "Output", + CellChangeTimes->{3.801660252096466*^9, 3.801660287259492*^9}, + CellLabel->"Out[389]=", + CellID->1232046431] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["m12"], "Input", + CellChangeTimes->{{3.801660313720744*^9, 3.801660313936137*^9}}, + CellLabel->"In[390]:=", + CellID->409716571], + +Cell[BoxData[ + FormBox["m12", TraditionalForm]], "Output", + CellChangeTimes->{3.801660314380278*^9}, + CellLabel->"Out[390]=", + CellID->1939139141] +}, Open ]], + +Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"m12", ",", + RowBox[{"{", + RowBox[{"SubsuperscriptBox", ",", "m", ",", "1", ",", "2"}], "}"}]}], + "]"}]], "Input", + CellChangeTimes->{{3.801660315974341*^9, 3.801660315974588*^9}}, + CellLabel->"In[391]:=", + CellID->737015970], + +Cell[CellGroupData[{ + +Cell[BoxData["m12"], "Input", + CellChangeTimes->{{3.8016603181714497`*^9, 3.801660319772521*^9}}, + CellLabel->"In[392]:=", + CellID->1279505267], + +Cell[BoxData[ + FormBox[ + SubsuperscriptBox["m", "1", "2"], TraditionalForm]], "Output", + CellChangeTimes->{3.801660320135808*^9}, + CellLabel->"Out[392]=", + CellID->1604278061] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}]], "Input", + CellChangeTimes->{{3.801660337667399*^9, 3.801660339727022*^9}}, + CellLabel->"In[393]:=", + CellID->540293925], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}], + TraditionalForm]], "Output", + CellChangeTimes->{3.801660340112275*^9}, + CellLabel->"Out[393]=", + CellID->411608320] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"MapThread", "[", + RowBox[{ + RowBox[{ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"#1", ",", + RowBox[{"{", + RowBox[{"SubscriptBox", ",", "\"\\"", ",", "#2"}], "}"}]}], "]"}], + "&"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}], ",", + RowBox[{"Range", "[", "4", "]"}]}], "}"}]}], "]"}], ";"}]], "Input", + CellChangeTimes->{{3.801660340645865*^9, 3.8016603406465197`*^9}}, + CellLabel->"In[394]:=", + CellID->1515379826], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}]], "Input", + CellLabel->"In[395]:=", + CellID->1244029258], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + SubscriptBox["p", "1"], ",", + SubscriptBox["p", "2"], ",", + SubscriptBox["p", "3"], ",", + SubscriptBox["p", "4"]}], "}"}], TraditionalForm]], "Output", + CellChangeTimes->{3.80166034767828*^9}, + CellLabel->"Out[395]=", + CellID->1467760810] +}, Open ]], + +Cell[BoxData[{ + RowBox[{"FCRemoveTypesettingRules", "[", "mu", + "]"}], "\[IndentingNewLine]", + RowBox[{"FCRemoveTypesettingRules", "[", + RowBox[{"mc", "[", "\"\\"", "]"}], "]"}], "\[IndentingNewLine]", + RowBox[{"FCRemoveTypesettingRules", "[", "m12", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"FCRemoveTypesettingRules", "/@", + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}]}], + ";"}], "\[IndentingNewLine]"}], "Input", + CellChangeTimes->{{3.80166026426658*^9, 3.80166027915842*^9}, { + 3.801660359910781*^9, 3.801660387094968*^9}}, + CellLabel->"In[403]:=", + CellID->1598574001] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["More Examples", "ExtendedExamplesSection", + CellTags->"ExtendedExamples", + CellID->1854448968], + +Cell[BoxData[ + InterpretationBox[Cell["Scope", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->1293636265], + +Cell[BoxData[ + InterpretationBox[Cell["Generalizations & Extensions", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->1020263627], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["Options", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->2061341341], + +Cell[BoxData[ + InterpretationBox[Cell["XXXX", "ExampleSubsection"], + $Line = 0; Null]], "ExampleSubsection", + CellID->1757724783], + +Cell[BoxData[ + InterpretationBox[Cell["XXXX", "ExampleSubsection"], + $Line = 0; Null]], "ExampleSubsection", + CellID->1295379749] +}, Closed]], + +Cell[BoxData[ + InterpretationBox[Cell["Applications", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->258228157], + +Cell[BoxData[ + InterpretationBox[Cell["Properties & Relations", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->2123667759], + +Cell[BoxData[ + InterpretationBox[Cell["Possible Issues", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->1305812373], + +Cell[BoxData[ + InterpretationBox[Cell["Interactive Examples", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->1653164318], + +Cell[BoxData[ + InterpretationBox[Cell["Neat Examples", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->589267740] +}, Open ]] +}, +WindowSize->{939, 777}, +WindowMargins->{{Automatic, 336}, {91, Automatic}}, +CellContext->"Global`", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", +StyleDefinitions->FrontEnd`FileName[{"Wolfram"}, "FunctionPageStyles.nb", + CharacterEncoding -> "UTF-8"] +] +(* End of Notebook Content *) + +(* Internal cache information *) +(*CellTagsOutline +CellTagsIndex->{ + "ExtendedExamples"->{ + Cell[10397, 425, 100, 2, 55, "ExtendedExamplesSection", + CellTags->"ExtendedExamples", + CellID->1854448968]} + } +*) +(*CellTagsIndex +CellTagsIndex->{ + {"ExtendedExamples", 12311, 495} + } +*) +(*NotebookFileOutline +Notebook[{ +Cell[558, 20, 325, 14, 25, "History", + CellID->1247902091], +Cell[CellGroupData[{ +Cell[908, 38, 68, 1, 29, "CategorizationSection", + CellID->1122911449], +Cell[979, 41, 79, 2, 70, "Categorization", + CellID->686433507], +Cell[1061, 45, 81, 2, 70, "Categorization", + CellID->605800465], +Cell[1145, 49, 78, 2, 70, "Categorization", + CellID->468444828], +Cell[1226, 53, 81, 1, 70, "Categorization"] +}, Closed]], +Cell[CellGroupData[{ +Cell[1344, 59, 55, 1, 19, "KeywordsSection", + CellID->477174294], +Cell[1402, 62, 45, 1, 70, "Keywords", + CellID->1164421360] +}, Closed]], +Cell[CellGroupData[{ +Cell[1484, 68, 65, 1, 19, "TemplatesSection", + CellID->1872225408], +Cell[1552, 71, 94, 2, 70, "Template", + CellID->1562036412], +Cell[1649, 75, 82, 2, 70, "Template", + CellID->158391909], +Cell[1734, 79, 81, 2, 70, "Template", + CellID->1360575930], +Cell[1818, 83, 82, 2, 70, "Template", + CellID->793782254] +}, Closed]], +Cell[CellGroupData[{ +Cell[1937, 90, 53, 1, 19, "DetailsSection", + CellID->307771771], +Cell[1993, 93, 63, 2, 70, "Details", + CellID->670882175], +Cell[2059, 97, 69, 2, 70, "Details", + CellID->350963985], +Cell[2131, 101, 64, 2, 70, "Details", + CellID->8391405], +Cell[2198, 105, 69, 2, 70, "Details", + CellID->3610269], +Cell[2270, 109, 61, 2, 70, "Details", + CellID->401364205], +Cell[2334, 113, 61, 2, 70, "Details", + CellID->350204745], +Cell[2398, 117, 63, 2, 70, "Details", + CellID->732958810], +Cell[2464, 121, 78, 2, 70, "Details", + CellID->222905350], +Cell[2545, 125, 67, 2, 70, "Details", + CellID->240026365] +}, Closed]], +Cell[CellGroupData[{ +Cell[2649, 132, 66, 1, 64, "ObjectName", + CellID->1224892054], +Cell[2718, 135, 443, 10, 92, "Usage", + CellID->982511436], +Cell[3164, 147, 161, 3, 26, "Notes", + CellID->1067943069], +Cell[3328, 152, 331, 7, 77, "Notes", + CellID->272772993], +Cell[3662, 161, 124, 3, 26, "Notes", + CellID->2027770141] +}, Open ]], +Cell[CellGroupData[{ +Cell[3823, 169, 57, 1, 44, "TutorialsSection", + CellID->250839057], +Cell[3883, 172, 45, 1, 17, "Tutorials", + CellID->341631938] +}, Open ]], +Cell[CellGroupData[{ +Cell[3965, 178, 83, 1, 31, "RelatedDemonstrationsSection", + CellID->1268215905], +Cell[4051, 181, 58, 1, 17, "RelatedDemonstrations", + CellID->1129518860] +}, Open ]], +Cell[CellGroupData[{ +Cell[4146, 187, 65, 1, 31, "RelatedLinksSection", + CellID->1584193535], +Cell[4214, 190, 49, 1, 17, "RelatedLinks", + CellID->1038487239] +}, Open ]], +Cell[CellGroupData[{ +Cell[4300, 196, 55, 1, 31, "SeeAlsoSection", + CellID->1255426704], +Cell[4358, 199, 272, 5, 17, "SeeAlso", + CellID->830480392] +}, Open ]], +Cell[CellGroupData[{ +Cell[4667, 209, 57, 1, 31, "MoreAboutSection", + CellID->38303248], +Cell[4727, 212, 46, 1, 17, "MoreAbout", + CellID->1665078683] +}, Open ]], +Cell[CellGroupData[{ +Cell[4810, 218, 356, 11, 69, "PrimaryExamplesSection", + CellID->880084151], +Cell[CellGroupData[{ +Cell[5191, 233, 140, 3, 26, "Input", + CellID->1936456490], +Cell[5334, 238, 167, 4, 24, "Output", + CellID->1384497776] +}, Open ]], +Cell[5516, 245, 228, 5, 26, "Input", + CellID->1562186645], +Cell[CellGroupData[{ +Cell[5769, 254, 138, 3, 26, "Input", + CellID->40423038], +Cell[5910, 259, 170, 4, 26, "Output", + CellID->2003189628] +}, Open ]], +Cell[CellGroupData[{ +Cell[6117, 268, 180, 4, 28, "Input", + CellID->1431688149], +Cell[6300, 274, 208, 5, 26, "Output", + CellID->1291154918] +}, Open ]], +Cell[6523, 282, 342, 9, 28, "Input", + CellID->1994809373], +Cell[CellGroupData[{ +Cell[6890, 295, 111, 3, 28, "Input", + CellID->727675022], +Cell[7004, 300, 189, 5, 26, "Output", + CellID->1232046431] +}, Open ]], +Cell[CellGroupData[{ +Cell[7230, 310, 140, 3, 26, "Input", + CellID->409716571], +Cell[7373, 315, 146, 4, 24, "Output", + CellID->1939139141] +}, Open ]], +Cell[7534, 322, 300, 8, 26, "Input", + CellID->737015970], +Cell[CellGroupData[{ +Cell[7859, 334, 143, 3, 26, "Input", + CellID->1279505267], +Cell[8005, 339, 176, 5, 30, "Output", + CellID->1604278061] +}, Open ]], +Cell[CellGroupData[{ +Cell[8218, 349, 207, 5, 26, "Input", + CellID->540293925], +Cell[8428, 356, 217, 7, 26, "Output", + CellID->411608320] +}, Open ]], +Cell[8660, 366, 578, 17, 46, "Input", + CellID->1515379826], +Cell[CellGroupData[{ +Cell[9263, 387, 142, 4, 26, "Input", + CellID->1244029258], +Cell[9408, 393, 306, 10, 27, "Output", + CellID->1467760810] +}, Open ]], +Cell[9729, 406, 631, 14, 104, "Input", + CellID->1598574001] +}, Open ]], +Cell[CellGroupData[{ +Cell[10397, 425, 100, 2, 55, "ExtendedExamplesSection", + CellTags->"ExtendedExamples", + CellID->1854448968], +Cell[10500, 429, 125, 3, 33, "ExampleSection", + CellID->1293636265], +Cell[10628, 434, 148, 3, 21, "ExampleSection", + CellID->1020263627], +Cell[CellGroupData[{ +Cell[10801, 441, 127, 3, 21, "ExampleSection", + CellID->2061341341], +Cell[10931, 446, 130, 3, 70, "ExampleSubsection", + CellID->1757724783], +Cell[11064, 451, 130, 3, 70, "ExampleSubsection", + CellID->1295379749] +}, Closed]], +Cell[11209, 457, 131, 3, 21, "ExampleSection", + CellID->258228157], +Cell[11343, 462, 142, 3, 21, "ExampleSection", + CellID->2123667759], +Cell[11488, 467, 135, 3, 21, "ExampleSection", + CellID->1305812373], +Cell[11626, 472, 140, 3, 21, "ExampleSection", + CellID->1653164318], +Cell[11769, 477, 132, 3, 21, "ExampleSection", + CellID->589267740] +}, Open ]] +} +] +*) + +(* End of internal cache information *) + diff --git a/FeynCalc/DocSource/English/ReferencePages/Symbols/FCRemoveTypesettingRules.nb b/FeynCalc/DocSource/English/ReferencePages/Symbols/FCRemoveTypesettingRules.nb new file mode 100644 index 000000000..7640fce7e --- /dev/null +++ b/FeynCalc/DocSource/English/ReferencePages/Symbols/FCRemoveTypesettingRules.nb @@ -0,0 +1,489 @@ +(* Content-type: application/vnd.wolfram.mathematica *) + +(*** Wolfram Notebook File ***) +(* http://www.wolfram.com/nb *) + +(* CreatedBy='Mathematica 10.4' *) + +(*CacheID: 234*) +(* Internal cache information: +NotebookFileLineBreakTest +NotebookFileLineBreakTest +NotebookDataPosition[ 158, 7] +NotebookDataLength[ 11702, 479] +NotebookOptionsPosition[ 7266, 320] +NotebookOutlinePosition[ 7876, 344] +CellTagsIndexPosition[ 7798, 339] +WindowFrame->Normal*) + +(* Beginning of Notebook Content *) +Notebook[{ +Cell[TextData[{ + "New in: ", + Cell["9.3", "HistoryData", + CellTags->"New"], + " | Modified in: ", + Cell[" ", "HistoryData", + CellTags->"Modified"], + " | Obsolete in: ", + Cell[" ", "HistoryData", + CellTags->"Obsolete"], + " | Excised in: ", + Cell[" ", "HistoryData", + CellTags->"Excised"] +}], "History", + CellID->1247902091], + +Cell[CellGroupData[{ + +Cell["Categorization", "CategorizationSection", + CellID->1122911449], + +Cell["Symbol", "Categorization", + CellLabel->"Entity Type", + CellID->686433507], + +Cell["FeynCalc", "Categorization", + CellLabel->"Paclet Name", + CellID->605800465], + +Cell["FeynCalc`", "Categorization", + CellLabel->"Context", + CellID->468444828], + +Cell["FeynCalc/ref/FCRemoveTypesettingRules", "Categorization", + CellLabel->"URI"] +}, Closed]], + +Cell[CellGroupData[{ + +Cell["Keywords", "KeywordsSection", + CellID->477174294], + +Cell["XXXX", "Keywords", + CellID->1164421360] +}, Closed]], + +Cell[CellGroupData[{ + +Cell["Syntax Templates", "TemplatesSection", + CellID->1872225408], + +Cell[BoxData[""], "Template", + CellLabel->"Additional Function Template", + CellID->1562036412], + +Cell[BoxData[""], "Template", + CellLabel->"Arguments Pattern", + CellID->158391909], + +Cell[BoxData[""], "Template", + CellLabel->"Local Variables", + CellID->1360575930], + +Cell[BoxData[""], "Template", + CellLabel->"Color Equal Signs", + CellID->793782254] +}, Closed]], + +Cell[CellGroupData[{ + +Cell["Details", "DetailsSection", + CellID->307771771], + +Cell["XXXX", "Details", + CellLabel->"Lead", + CellID->670882175], + +Cell["XXXX", "Details", + CellLabel->"Developers", + CellID->350963985], + +Cell["XXXX", "Details", + CellLabel->"Authors", + CellID->8391405], + +Cell["XXXX", "Details", + CellLabel->"Feature Name", + CellID->3610269], + +Cell["XXXX", "Details", + CellLabel->"QA", + CellID->401364205], + +Cell["XXXX", "Details", + CellLabel->"DA", + CellID->350204745], + +Cell["XXXX", "Details", + CellLabel->"Docs", + CellID->732958810], + +Cell["XXXX", "Details", + CellLabel->"Features Page Notes", + CellID->222905350], + +Cell["XXXX", "Details", + CellLabel->"Comments", + CellID->240026365] +}, Closed]], + +Cell[CellGroupData[{ + +Cell["FCRemoveTypesettingRules", "ObjectName", + CellID->1224892054], + +Cell[TextData[{ + Cell[" ", "ModInfo"], + Cell[BoxData[ + RowBox[{"FCRemoveTypesettingRules", "[", "expr", "]"}]], "InlineFormula"], + " \[LineSeparator]removes all typesetting rules attached to expr. \ +Effectively it sets the FormatValues of expr to an empty list." +}], "Usage", + CellChangeTimes->{{3.801660065634515*^9, 3.801660077295809*^9}}, + CellID->982511436], + +Cell["XXXX", "Notes", + CellID->1067943069] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Tutorials", "TutorialsSection", + CellID->250839057], + +Cell["XXXX", "Tutorials", + CellID->341631938] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Related Demonstrations", "RelatedDemonstrationsSection", + CellID->1268215905], + +Cell["XXXX", "RelatedDemonstrations", + CellID->1129518860] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Related Links", "RelatedLinksSection", + CellID->1584193535], + +Cell["XXXX", "RelatedLinks", + CellID->1038487239] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["See Also", "SeeAlsoSection", + CellID->1255426704], + +Cell[TextData[ButtonBox["FCAttachTypesettingRules", + BaseStyle->"Link", + ButtonData:>"paclet:FeynCalc/ref/FCAttachTypesettingRules", + ButtonNote->"FCAttachTypesettingRules"]], "SeeAlso", + CellChangeTimes->{{3.801660006476696*^9, 3.801660007879281*^9}}, + CellID->830480392] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["More About", "MoreAboutSection", + CellID->38303248], + +Cell["XXXX", "MoreAbout", + CellID->1665078683] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[GridBox[{ + { + StyleBox["Examples", "PrimaryExamplesSection"], + ButtonBox[ + RowBox[{ + RowBox[{"More", " ", "Examples"}], " ", "\[RightTriangle]"}], + BaseStyle->"ExtendedExamplesLink", + ButtonData:>"ExtendedExamples"]} + }], + $Line = 0; Null]], "PrimaryExamplesSection", + CellID->880084151], + +Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"ST1", ",", + RowBox[{"{", + RowBox[{"SubscriptBox", ",", "\"\\"", ",", "\"\\""}], "}"}]}], + "]"}]], "Input", + CellChangeTimes->{{3.8016600990466747`*^9, 3.80166009904714*^9}}, + CellLabel->"In[369]:=", + CellID->1279586700], + +Cell[CellGroupData[{ + +Cell[BoxData["ST1"], "Input", + CellChangeTimes->{{3.80166010196453*^9, 3.8016601026758957`*^9}}, + CellLabel->"In[370]:=", + CellID->2058585413], + +Cell[BoxData[ + FormBox[ + SubscriptBox["S", + RowBox[{"T", ",", "1"}]], TraditionalForm]], "Output", + CellChangeTimes->{3.801660103101372*^9}, + CellLabel->"Out[370]=", + CellID->703735332] +}, Open ]], + +Cell[BoxData[ + RowBox[{"FCRemoveTypesettingRules", "[", "ST1", "]"}]], "Input", + CellChangeTimes->{{3.801660103765924*^9, 3.801660108997559*^9}}, + CellLabel->"In[371]:=", + CellID->1056152490], + +Cell[CellGroupData[{ + +Cell[BoxData["ST1"], "Input", + CellChangeTimes->{{3.801660109799347*^9, 3.801660110526369*^9}}, + CellLabel->"In[372]:=", + CellID->1836481849], + +Cell[BoxData[ + FormBox["ST1", TraditionalForm]], "Output", + CellChangeTimes->{3.801660110978426*^9}, + CellLabel->"Out[372]=", + CellID->2077836747] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["More Examples", "ExtendedExamplesSection", + CellTags->"ExtendedExamples", + CellID->1854448968], + +Cell[BoxData[ + InterpretationBox[Cell["Scope", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->1293636265], + +Cell[BoxData[ + InterpretationBox[Cell["Generalizations & Extensions", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->1020263627], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["Options", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->2061341341], + +Cell[BoxData[ + InterpretationBox[Cell["XXXX", "ExampleSubsection"], + $Line = 0; Null]], "ExampleSubsection", + CellID->1757724783], + +Cell[BoxData[ + InterpretationBox[Cell["XXXX", "ExampleSubsection"], + $Line = 0; Null]], "ExampleSubsection", + CellID->1295379749] +}, Closed]], + +Cell[BoxData[ + InterpretationBox[Cell["Applications", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->258228157], + +Cell[BoxData[ + InterpretationBox[Cell["Properties & Relations", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->2123667759], + +Cell[BoxData[ + InterpretationBox[Cell["Possible Issues", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->1305812373], + +Cell[BoxData[ + InterpretationBox[Cell["Interactive Examples", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->1653164318], + +Cell[BoxData[ + InterpretationBox[Cell["Neat Examples", "ExampleSection"], + $Line = 0; Null]], "ExampleSection", + CellID->589267740] +}, Open ]] +}, +WindowSize->{700, 770}, +WindowMargins->{{Automatic, 557}, {Automatic, 21}}, +CellContext->"Global`", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", +StyleDefinitions->FrontEnd`FileName[{"Wolfram"}, "FunctionPageStyles.nb", + CharacterEncoding -> "UTF-8"] +] +(* End of Notebook Content *) + +(* Internal cache information *) +(*CellTagsOutline +CellTagsIndex->{ + "ExtendedExamples"->{ + Cell[5746, 262, 100, 2, 55, "ExtendedExamplesSection", + CellTags->"ExtendedExamples", + CellID->1854448968]} + } +*) +(*CellTagsIndex +CellTagsIndex->{ + {"ExtendedExamples", 7660, 332} + } +*) +(*NotebookFileOutline +Notebook[{ +Cell[558, 20, 325, 14, 25, "History", + CellID->1247902091], +Cell[CellGroupData[{ +Cell[908, 38, 68, 1, 29, "CategorizationSection", + CellID->1122911449], +Cell[979, 41, 79, 2, 70, "Categorization", + CellID->686433507], +Cell[1061, 45, 81, 2, 70, "Categorization", + CellID->605800465], +Cell[1145, 49, 78, 2, 70, "Categorization", + CellID->468444828], +Cell[1226, 53, 82, 1, 70, "Categorization"] +}, Closed]], +Cell[CellGroupData[{ +Cell[1345, 59, 55, 1, 19, "KeywordsSection", + CellID->477174294], +Cell[1403, 62, 45, 1, 70, "Keywords", + CellID->1164421360] +}, Closed]], +Cell[CellGroupData[{ +Cell[1485, 68, 65, 1, 19, "TemplatesSection", + CellID->1872225408], +Cell[1553, 71, 94, 2, 70, "Template", + CellID->1562036412], +Cell[1650, 75, 82, 2, 70, "Template", + CellID->158391909], +Cell[1735, 79, 81, 2, 70, "Template", + CellID->1360575930], +Cell[1819, 83, 82, 2, 70, "Template", + CellID->793782254] +}, Closed]], +Cell[CellGroupData[{ +Cell[1938, 90, 53, 1, 19, "DetailsSection", + CellID->307771771], +Cell[1994, 93, 63, 2, 70, "Details", + CellID->670882175], +Cell[2060, 97, 69, 2, 70, "Details", + CellID->350963985], +Cell[2132, 101, 64, 2, 70, "Details", + CellID->8391405], +Cell[2199, 105, 69, 2, 70, "Details", + CellID->3610269], +Cell[2271, 109, 61, 2, 70, "Details", + CellID->401364205], +Cell[2335, 113, 61, 2, 70, "Details", + CellID->350204745], +Cell[2399, 117, 63, 2, 70, "Details", + CellID->732958810], +Cell[2465, 121, 78, 2, 70, "Details", + CellID->222905350], +Cell[2546, 125, 67, 2, 70, "Details", + CellID->240026365] +}, Closed]], +Cell[CellGroupData[{ +Cell[2650, 132, 67, 1, 64, "ObjectName", + CellID->1224892054], +Cell[2720, 135, 364, 8, 92, "Usage", + CellID->982511436], +Cell[3087, 145, 42, 1, 25, "Notes", + CellID->1067943069] +}, Open ]], +Cell[CellGroupData[{ +Cell[3166, 151, 57, 1, 44, "TutorialsSection", + CellID->250839057], +Cell[3226, 154, 45, 1, 17, "Tutorials", + CellID->341631938] +}, Open ]], +Cell[CellGroupData[{ +Cell[3308, 160, 83, 1, 31, "RelatedDemonstrationsSection", + CellID->1268215905], +Cell[3394, 163, 58, 1, 17, "RelatedDemonstrations", + CellID->1129518860] +}, Open ]], +Cell[CellGroupData[{ +Cell[3489, 169, 65, 1, 31, "RelatedLinksSection", + CellID->1584193535], +Cell[3557, 172, 49, 1, 17, "RelatedLinks", + CellID->1038487239] +}, Open ]], +Cell[CellGroupData[{ +Cell[3643, 178, 55, 1, 31, "SeeAlsoSection", + CellID->1255426704], +Cell[3701, 181, 272, 5, 17, "SeeAlso", + CellID->830480392] +}, Open ]], +Cell[CellGroupData[{ +Cell[4010, 191, 57, 1, 31, "MoreAboutSection", + CellID->38303248], +Cell[4070, 194, 46, 1, 17, "MoreAbout", + CellID->1665078683] +}, Open ]], +Cell[CellGroupData[{ +Cell[4153, 200, 356, 11, 69, "PrimaryExamplesSection", + CellID->880084151], +Cell[4512, 213, 305, 8, 26, "Input", + CellID->1279586700], +Cell[CellGroupData[{ +Cell[4842, 225, 142, 3, 26, "Input", + CellID->2058585413], +Cell[4987, 230, 189, 6, 29, "Output", + CellID->703735332] +}, Open ]], +Cell[5191, 239, 191, 4, 26, "Input", + CellID->1056152490], +Cell[CellGroupData[{ +Cell[5407, 247, 141, 3, 26, "Input", + CellID->1836481849], +Cell[5551, 252, 146, 4, 24, "Output", + CellID->2077836747] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[5746, 262, 100, 2, 55, "ExtendedExamplesSection", + CellTags->"ExtendedExamples", + CellID->1854448968], +Cell[5849, 266, 125, 3, 33, "ExampleSection", + CellID->1293636265], +Cell[5977, 271, 148, 3, 21, "ExampleSection", + CellID->1020263627], +Cell[CellGroupData[{ +Cell[6150, 278, 127, 3, 21, "ExampleSection", + CellID->2061341341], +Cell[6280, 283, 130, 3, 70, "ExampleSubsection", + CellID->1757724783], +Cell[6413, 288, 130, 3, 70, "ExampleSubsection", + CellID->1295379749] +}, Closed]], +Cell[6558, 294, 131, 3, 21, "ExampleSection", + CellID->258228157], +Cell[6692, 299, 142, 3, 21, "ExampleSection", + CellID->2123667759], +Cell[6837, 304, 135, 3, 21, "ExampleSection", + CellID->1305812373], +Cell[6975, 309, 140, 3, 21, "ExampleSection", + CellID->1653164318], +Cell[7118, 314, 132, 3, 21, "ExampleSection", + CellID->589267740] +}, Open ]] +} +] +*) + +(* End of internal cache information *) + From 0dea526299a5474641ecdb772788d2b8efe28752 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 20 Jun 2020 18:50:18 +0200 Subject: [PATCH 84/86] Updated the changelog. --- FeynCalc/Changelog.md | 1348 +++----------------------------------- FeynCalc/ChangelogOld.md | 1282 ++++++++++++++++++++++++++++++++++++ 2 files changed, 1363 insertions(+), 1267 deletions(-) diff --git a/FeynCalc/Changelog.md b/FeynCalc/Changelog.md index f8fccb238..d0ab14203 100644 --- a/FeynCalc/Changelog.md +++ b/FeynCalc/Changelog.md @@ -1,1281 +1,95 @@ -# Version 9.3.0 (January 2020) +# Version 9.3.1 (June 2020) ## Important changes -* Introduced a new modern way to switch between Dirac gamma schemed in dim reg: `FCSetDiracGammaScheme` and `FCGetDiracGammaScheme`. (f5a06363) (1c7a5246) - - * Example: Show the current g^5 scheme - - FCGetDiracGammaScheme[] - - * Example: Show available g^5 schemes - - ?FCSetDiracGammaScheme[] - - * Example: Switch to the BMHV scheme - - FCSetDiracGammaScheme["BMHV"] - - * Example: Switch to the NDR scheme - - FCSetDiracGammaScheme["NDR"] - -* Added a new scheme for handling g^5: `"NDR-Discard"`. It is like `"NDR"` but all the remaining traces with one g^5 (that NDR can't evaluate) are set to zero. It is meant to be applied in calculations where we know in advance that g^5 does not pose any issues. (031368f5) - -* Modified `ComplexConjugate` to automatically apply `FCRenameDummyIndices`. This can be turned off using the option named the same way. (d7708286) - -* The default behavior of `DiracSimplify` was changed to automatically evaluate Dirac traces. Now there is no need to use the replacement `DiracTrace->Tr` (b74b4c20) - - * Example: Evaluate a Dirac trace using `DiracSimplify` - - DiracTrace[GA[a,b,c,d]] // DiracSimplify - -* Vectors in the `FeynCalcExternal` representation that contain a minus sign will have it factored out automatically, so that e.g. `FV[-p,mu]` will become `-FV[p,mu]`. (249d8b22) - -* Changed the handling of the output format type to address the issue #30 (9f409e1f). In particular, `FeynCalc` will now change only the output format of the current front end session, not the global `Mathematica` option as before. This behavior is controlled by the new global option `$FCTraditionalFormOutput`. The default value is `False`. One can load `FeynCalc` with the `TraditionalForm` typesetting via - - $FCTraditionalFormOutput = True; - << FeynCalc` - - Or one can also write `$FCTraditionalFormOutput = True` to `FCConfig.m` so that this value will be set each time `FeynCalc` is loaded. Finally two new functions `FCDisableTraditionalFormOutput[]` and `FCEnableTraditionalFormOutput[]` allow to switch between `StandardForm` and `TraditionalForm` on the fly - - * Example: Switch between different output formats in a `FeynCalc` session - - < "FCMetricTensor", "Factor1" -> "FCFactor1", "Factor2" -> "FCFactor2"}; - << FeynCalc` - - FCDisableTraditionalFormOutput[] - (* Output format changed to StandardForm for the current session *) - - -* Moved the loader of `TARCER` into a separate file. So we can (and should) load `TARCER` via `$LoadAddOns={"TARCER"}`. The old `$LoadTARCER` is now deprecated. Reason: More consistency when loading additional packages that interact with `FeynCalc` (851efb72) - - * Example: Load `FeynCalc` and `TARCER` - - $LoadAddOns={"TARCER"} - <2`. (45496b34) -* Removed `$SpinorChainMinimal` and `ChisholmSpinor`. (153c344d) -* Removed the option `Dimension` in `Eps`. Reason: `Eps` is an `FCI` object so that the dimension of the indices or momenta is always unambiguous (a82bb76e) -* Removed `MomentumCombine2`. Reason: it only duplicated `MomentumCombine`. (4233f90e) -* Removed `Upper`, `Lower`, `Contract1`, `$Covariant` and `$LorentzIndices`. Reason: With the introduction of Cartesian tensors in `FeynCalc` 9.3, there is no more ambiguity regarding the positions of the indices. Moreover, `Upper` and `Lower` never were fully integrated into `FeynCalc`. (76a6ae59) (9a3ba199) -* Removed `CrossProduct`, `DotProduct` and `ThreeVector`. Reason: Now that we have native support for symbolic Cartesian vectors, they are not needed anymore. (4c7ff29a) -* Removed the typesetting option `$PairBrackets`. Reason: The option is obsolete. Once a scalar product is multiplied by something else, it will automatically have brackets around it, so that setting `$PairBrackets=True` is never needed. (7d3e6eef) -* Removed `DiracSimplify2`. Reason: All settings related to gamma_5 should be handled by setting a suitable scheme. Otherwise, inconsistencies are unavoidable. (80f64f83) -* Removed `UVPart`. Reason: In the current form it is useless and wrong (thanks to M. Beneke for the suggestion). It was replaced by `PaVeUVPart` (cebaf7a5) -* Eliminated `TemporalIndex[]`. Reason: There is really no point to reinvent the wheel and use this peculiar object instead of just `LorentzIndex[0]`. No harm done, since the name `TemporalIndex` never maid it into a stable version (3be9fee8) -* Removed the option `DenominatorOrder` option from `OneLoop`. Reason: ongoing progress in the attempts to refactor `OneLoop` (26641c4c) -* Removed the option `ChangeDimension` from `TID`. Reason: Automatic or implicit changes of the dimension are dangerous and may easily to unwanted side effects or even inconsistent results. It is better to avoid that completely. (6fbd3f22) -* Removed `FCMonitor` and `FCMonitorStub`. Reason: They are not used in `TID` anymore. (8e4b3ffa) -* Removed `MakeFeynCalcPrivateContext` and `$IndexPrefix`. Reason: Some very old routines that were largely obsolete already in the version 9. (c7510662) -* Removed the legacy syntax of `DiracTrick`, where one could enter Dirac matrices without `DOT`s. (69957a9f) -* Removed the unfinished experimental function `SquareAmplitude2`. Reason: It never became sufficiently stable and ready to be used and hence was also never mentioned in the documentation. (ee1149f7) - ---- - -* Renamed the option `DiracSimpCombine` of `DiracSimplify` to `DiracGammaCombine`. (6da10564) -* Renamed the `DiracCanonical` option of `DiracSimplify` to `DiracOrder`. (7fc6846e) -* Renamed the option `SpinPolarizationSum` of `FermionSpinSum` to `Head`. (c56581f6) -* Renamed `MemoryAvailable` and `$MemoryAvailable` to `FCMemoryAvailable` and `$FCMemoryAvailable`. Reason: `MemoryAvailable` is a system variable since `Mathematica` 11.0. (3c18c338) -* Renamed `PropagatorDenominatorExplicit` to `FeynAmpDenominatorExplicit`. Reason: more consistent naming scheme. This way it fits to other functions that start with `FeynAmpDenominator`. Of course, `PropagatorDenominatorExplicit` still works in order not to break the existing codes. (8bfefcda) -* Renamed `SquareAmplitude` to `SquareAmplitude2`. Reason: `SquareAmplitude2` is an experimental function that never became sufficiently stable. The name `SquareAmplitude` will be used for a different function. (23667615) -* Removed a call to `ChangeDimension` from `Explicit`. Reason: The `Dimension` option should already handle this, so that we don't need to call another function. (d1dd1def) -* Renamed the `PDEHead` option in `FeynAmpDenominatorExplicit` to `Head`. (51fc4da4) - -* Modified the syntax of `FCLoopBasisExtract` so that the dimensions are now given via the `SetDimensions` option. Reason: This unifies the behavior among the other `FCLoopBasis*` functions. Furthermore, the new `FCTopology` option allows to include loop momenta that are not actually present in the input expression. This is useful when working with integral topologies. (8ab84fdd) - ## New functions and symbols - -### Noncommutative algebra - -* Added new function `FCMatrixIsolate` that combines the application of `FCDiracIsolate`, `FCColorIsolate` and `FCPauliIsolate`. This is very useful for amplitude manipulations that affect the matrix structure of the expression, i.e. for taking the complex conjugate. (20030293) - -* Added new function `DiracSigmaExpand` that handles expansions of `DiracSigma`s. (2ed72ef9) - - * Example: Expand a suitable `DiracSigma` - - DiracSigma[GSD[p]+GSD[q],GSD[r]]//DiracSigmaExpand - -* Outsourced `DiracSubstitute67` out of `DiracSimplify`. Now it is a proper function for replacing chirality projectors with their definitions. (9efa4451) - - * Example: Substitute chirality projectors with their explicit definitions - - SpinorUBar[p1].GA[6].SpinorU[p2] // DiracSubstitute67 - - SpinorUBar[p1].GA[7].SpinorU[p2] // DiracSubstitute67 - -* Added `DiracSubstitute5`. It is a small auxiliary function that replaces `GA[5]` with `GA[6]-GA[7]`. This can be useful, e.g. if the spinor chains should be written in a particular way, always involving chiral projectors. (7b234636) - - * Example: Rewrite a spinor chain with g^5 in terms of chirality projectors - - SpinorUBar[p1].GA[5].SpinorU[p2] // DiracSubstitute5 - -* Introduced `ToDiracGamma67`, which is an inverse of `DiracSubstitute67`. By default, only terms that can be directly converted to a chirality projector are taken into account. If the options `All` is set to `True`, every occurrence of g^5 will be converted to chirality projectors (ce5c3f8f) - - * Example: Introduce chirality projectors in suitable Dirac matrix chains - - ToDiracGamma67[GA[mu].(1/2 + GA[5]/2).GA[nu]] - - ToDiracGamma67[GA[mu, 5, nu], All -> True] - - -* Added `SirlinSimplify`, a dedicated function for applying Sirlin's relations to Dirac spinor chains. Previously these relations were encoded in the code of `DiracSimplify` but now they can be applied using a separate function (9f74883b) - - * Example: Apply Sirlin's relations to a suitable spinor chain - - SirlinSimplify[SpinorUBar[p3, m3].GA[mu, rho, nu, 7].SpinorU[p1, m1] SpinorUBar[p4, m4]. - GA[mu, tau, nu, 7].SpinorU[p2, m2]] - -* Added `SpinorChainTrick`, an analogon of `DiracTrick` for products of spinor chains. This is an auxiliary function that will be called by higher level functions that deal with the Dirac algebra. (f0ead943) - - * Example: Combine two spinor chains by canonicalizing the Lorentz indices - - SpinorChainTrick[a SpinorUBar[p1, m1].GA[mu].SpinorU[p2, m2] SpinorVBar[p1, m1]. - GA[mu].SpinorV[p4, m4] + b SpinorUBar[p1, m1].GA[nu].SpinorU[p2, m2] SpinorVBar[p1, m1].GA[nu]. - SpinorV[p4, m4]] - - -* Added `SpinorChainChiralSplit`, a function that introduces chiral projectors in spinor chains that contain no gamma^5 or chiral projectors. Could be useful for working with chiral theories. (7cc4169f) - - * Example: Rewrite a spinor chain free of g^5 in terms of chains with chirality projectors - - SpinorChainChiralSplit[SpinorUBar[p1, m1].GSD[p].SpinorV[p2, m2]] - -* Added new function `SpinorChainTranspose`. It transposes the closed spinor chains in the expression, thus effectively switching `u` and `v` spinors. The `Select` option can be used for a flexible choice of chains that should be transposed. (7b832a61) - - * Example: Transpose some spinor chains - - SpinorChainTranspose[SpinorVBarD[p1, m1].GAD[mu].(GSD[p] + m).GAD[mu].SpinorUD[p2, m2]] - - SpinorChainTranspose[SpinorUBarD[p1, m1].GAD[mu].(GSD[p] + m).GAD[mu].SpinorVD[p2, m2]] - - SpinorChainTranspose[SpinorUBarD[p1, m1].GAD[mu].(GSD[p] + m).GAD[mu].SpinorVD[p2, m2], Select -> {{SpinorUBarD[_, _], SpinorVD[_, _]}}] - - -* Added new function `FCChargeConjugateTransposed` (a shortcut is just `FCCCT`). Given an expression in the Dirac space x, it obtains C x^T C^(-1), where C is the charge conjugation matrix. This is handy when dealing with Majorana spinors. (16e51495) - - * Example: Apply charge conjugation to some Dirac matrix chains - - FCChargeConjugateTransposed[GA[mu, nu, rho], Explicit -> True] - - FCChargeConjugateTransposed[GA[5], Explicit -> True] - -* Added `UnDeclareCommutator` and `UnDeclareAntiCommutator` that can remove the previously set values of commutators and anticommutators. (eccb96ca) - - * Example: Specify that `A`-fields commute with each other and remove this property later on - - Commutator[QuantumField[FCPartialD[LorentzIndex[xxx_]], A], QuantumField[A]] = 0; - DotSimplify[ExpandPartialD[QuantumField[A].QuantumField[A].LeftPartialD[nu]]] - - UnDeclareCommutator[QuantumField[FCPartialD[LorentzIndex[xxx_]], A], QuantumField[A]]; - DotSimplify[ExpandPartialD[QuantumField[A].QuantumField[A].LeftPartialD[nu]]] - -* Introduced initial support for Dirac matrix chains with explicit Dirac indices (via `DiracChain`). This particularly useful when importing amplitudes from `QGRAF` (fd49dd63) (4468a00e) (a6b577d9) (5799b97b) - - * Example: Some expressions with open Dirac indices that are now possible - - (* A Kronecker delta in the Dirac space*) - DIDelta[i, j] - - (* A standalone Dirac matrix with open Dirac indices *) - DCHN[GAD[mu], i, j] - - (* A chain of Dirac matrices with open Dirac indices *) - DCHN[GAD[mu].GAD[nu], i, j] - - (* A single UBar spinor with an open Dirac index *) - DCHN[SpinorUBar[p, m], i] - - (* A single VBar spinor with an open Dirac index *) - DCHN[SpinorVBar[p, m], i] - - (* A single U spinor with an open Dirac index *) - DCHN[i, SpinorU[p, m]] - - (* A single V spinor with an open Dirac index *) - DCHN[i, SpinorV[p, m]] - - (* UBar spinor contracted with a chain of Dirac matrices *) - DCHN[GAD[mu].GAD[nu], SpinorUBar[p, m], j] - - (* VBar spinor contracted with a chain of Dirac matrices *) - DCHN[GAD[mu].GAD[nu], SpinorVBar[p, m], j] - - (* U spinor contracted with a chain of Dirac matrices *) - DCHN[GAD[mu].GAD[nu], i, SpinorU[p, m]] - - (* V spinor contracted with a chain of Dirac matrices *) - DCHN[GAD[mu].GAD[nu], i, SpinorV[p, m]] - -* Introduced `DiracChainJoin` to handle contractions of the Dirac indices (4d3649a6) (18ac295d) (0575c06f) - - * Example: Contract the Dirac indices to obtain a closed spin chain - - DCHN[SpinorUBar[p1, m1], i] DCHN[GAD[mu].GAD[nu], i, j] DCHN[j, SpinorV[p2, m2]] // - DiracChainJoin - -* Added DiracChainExpand, a function to expand Dirac chains with explicit indices using linearity. (4e938efe) - -* Added DiracChainFactor, an auxiliary function to factor out commutative objects out of DiracChains. (97b47b24) - -* Added new function DiracChainCombine, which is an inverse operation to DiracChainExpand. (90431dfc) - -* Added `PauliSigmaExpand` and `PauliSigmaCombine` which are essentially analogons of `DiracGammaExpand` and `DiracSigmaCombine` for Pauli matrices. (a99b9882) - - * Example: Perform some expansions of Pauli matrices or undo them - - PauliSigmaExpand[SIS[q].SIS[p - q]] - - PauliSigmaExpand[SIS[a + b].SIS[c + d], Momentum -> {a}] - - PauliSigmaExpand[CSIS[a + b].CSIS[c + d], Momentum -> All] - - PauliSigmaCombine[SIS[p] + SIS[q]] -* Added `FCPauliIsolate`. It is like `FCDiracIsolate`, but for Pauli matrices. (20a1af91) - - * Example: Isolate Pauli matrices and spinors in the expression - - FCPauliIsolate[c1 SI[i] + c2 PauliXi[-I].SIS[p].PauliEta[I]] - -* Added new function `PauliOrder`. It is like `DiracOrder` but for Pauli matrices. (2759035e) - - * Example: Change the order of Pauli matrices using their commutation/anticommutation properties - - PauliOrder[CSI[i, j], {j, i}] - -* Added `PauliTrick` to have initial support for simplifying chains of Pauli matrices. As far as `D-1` dimensional Pauli matrices are concerned one can use `FCSetPauliSigmaScheme` to specify whether the 3D anticommutator relation should be used in D-1 dimensions. (498504f0) - - * Example: Simplify some chains of Pauli matrices - - CSIS[p1].CSI[i].CSIS[p2] // PauliTrick // Contract - - CSID[i, j, i] // PauliTrick // Contract - -* Added new option `PauliReduce` to `PauliTrick`. It specifies whether a chain of Pauli matrices should be reduced to at most one matrix by rewriting every pair of matrices in terms of commutator and anticommutator. When set to False, `PauliTrick` will try to use anticommutation relations to simplify Pauli chains. (e2299af2) - - * Example: Simplify a chain of Pauli matrices without the full reduction - - CSIS[p].CSI[j].CSIS[p].CSIS[i] // PauliTrick[#, PauliReduce -> False] & - -* Added `PauliSimplify`, an analogon of `DiracSimplify` but for Pauli matrices. (c8039c5c) - -### Loop integrals - -* Added `FCTopology`. Although currently it is just a placeholder for topologies, it is enormously useful in real calculations. (7239fd6f) - -* Introduced new propagator heads to support many new types of integral previously not available in `FeynCalc`. Covariant integrals that appear in such EFTs as HQET, NRQCD or SCET can be entered using the new `SFAD` (Standard FeynAmp denominator) head. The Cartesian analogon of `SFAD` is called `CFAD` (Cartesian FeynAmp denominator). Nonstandard integrals that cannot be represented via `SFAD` or `CFAD` can be introduced using `GFAD` (Generic FeynAmp denominator). -The support for the manipulation of the new integral is still somewhat experimental but will be improved in the future versions of the package - - - * Example: New propagators now available in `FeynCalc` - - (* The standard covariant propagator, corresponds to FAD[{p,m}]*) - SFAD[{{p, 0}, m^2}] - - (* The standard covariant propagator with the opposite I eta prescription*) - SFAD[{{p, 0}, {m^2, -1}}] - - (* Covariant Euclidean propagator in 4D *) - SFAD[{{p, 0}, {-m^2, -1}}] - - (* Massive covariant eikonal propagator *) - SFAD[{{0, p.q}, m^2}] - - (* Massless covariant eikonal propagator *) - SFAD[{{0, p.q}, m^2}] - - (* The standard Cartesian propagator *) - CFAD[{{p, 0}, m^2}] - - (* The standard Cartesian propagator with the opposite I eta prescription*) - CFAD[{{p, 0}, {m^2, 1}}] - - (* Cartesian propagator with a different mass term sign *) - CFAD[{{p, 0}, -m^2}] - - (* Massive Cartesian eikonal propagator *) - CFAD[{{0, p.q}, m^2}] - - (* Massless Cartesian eikonal propagator *) - CFAD[{{0, p.q}}] - - (* A special nonlinear propagator*) - GFAD[SPD[p1, q] SPD[p2, q] + x SPD[p1, p2]] - - -* Added some new placeholders: `Zeta4`, `Zeta6`, `Zeta8`, `Zeta10` and `Li4`. Those are mainly to be used in conjunction with `SimplifyPolyLog`. The `Conjugate` of a `ZetaX` is the object itself (44cdfef7) (966c8004) (d25f1125) (13ceb2a9) - - * Example: Simplify an expression using `SimplifyPolyLog` - - c1 Pi^4 + c2 Pi^6 + c4 Pi^8 + c5 Pi^10 // SimplifyPolyLog - - -* Added `FCGramMatrix` and `FCGramDeterminant` that compute the Gramian out of the given list of momenta. (d3009020) - - - * Example: Compute the Gramian for the 4-momenta `p1`, `p2` and `p3` - - FCGramMatrix[{p1, p2, p3}] - - * Example: Compute the Gramian for the 3-momenta `p1`, `p2` and `p3`. This is needed when doing tensor reduction of Cartesian integrals - - FCGramMatrix[{p1, p2, p3}, Head -> {CartesianPair, CartesianMomentum}, Dimension -> D - 1] - -* Extracted `N`-point to 4-point reduction from `OneLoop` and moved it to a separate function `NPointTo4Point`. (fd8949d3) - - * Example: Rewrite a massless scalar pentagon in terms of boxes - - FCClearScalarProducts[]; - NPointTo4Point[ FCI@FAD[{q, m0}, {q + p1, 0}, {q + p2, 0}, {q + p3, 0}, {q + p4, 0}], q, FCE -> True, FCVerbose -> -1] - - -* Added `PaVeUVPart`. This function returns UV divergent parts of arbitrary Passarino-Veltman functions. The algorithm is courtesy of G. Sulyok, cf. Phys. Part. Nuclei Lett. (2017) 14:631, arXiv:hep-ph/0609282. (03d50607) - - * Example: Obtain the UV-pole of the massive `B1111` Passarino-Veltman coefficient function - - FCClearScalarProducts[]; - PaVeUVPart[PaVe[1, 1, 1, 1, {SPD[p1, p1]}, {m0^2, m1^2}]] - -* Added `FCLoopBasisGetSize`, a tiny convenience function that returns the number of linearly independent propagators for a topology with the given number of loop of external momenta. (33ce898a) - - * Example: Get the number of linearly independent propagators (size of the topology) for a topology with 4 loop momenta and one external momentum - - FCLoopBasisGetSize[4, 1] - -* Added `FCLoopBasisSplit` an auxiliary function for identifying multi-loop integrals that factorize. (9e22d22a) - - * Example: Separate some factorizable multiloop integrals into separate pieces - - FCLoopBasisSplit[FCI@FAD[{q1, m}, {q2 - q3, m}], {q1, q2}, Head -> loopInt] - - FCLoopBasisSplit[ FCI@FAD[{q1, m}, {q2, m}, {q3 - q4, 0}, {q3 - p, m}, {q5}], {q1, q2, q3, q4, q5}, Head -> loopInt] - -* Added `FCLoopBasisIntegralToPropagators`, a handy auxiliary function that converts the given loop integral into a list of the corresponding propagators and scalar products. The powers of propagators can be counted if the options `Tally` is set to `True`. (2db802f3) - - * Example: Convert the given integrals to a list of propagators as required e.g. for topology identification or IBP reduction - - FCLoopBasisIntegralToPropagators[SPD[p, q]^2 FCI[SPD[p, q]] SFAD[q, p - q], {q}, Tally -> True, Negative -> True, Pair -> True] - - FCLoopBasisIntegralToPropagators[GFAD[{p1.q p2.q + x, 2}] SFAD[p1], {p1, p2}, Tally -> True] - -* Added new auxiliary function `FCLoopBasisPropagatorsToTopology` to facilitate the extraction of the topologies from the expressions with loop integrals. (9b3cd7e1) - - * Example: Convert the given list of propagators to a list `Pair`'s - - FCLoopBasisPropagatorsToTopology[{SFAD[{q, m}], SPD[q, p]}] - - -* Added `ToSFAD`, a function that converts `FAD`s and `PropagatorDenominator`s to `SFAD`s and `StandardPropagatorDenominator`s. (f300d7f6) - - * Example: Convert some integrals in the `FAD`-notation to the `SFAD`-notation - - ToSFAD[FAD[p]] - - ToSFAD[x + FAD[{p, m}, q] FAD[{p, m1}, q, {r - q, m2, 2}]] - -* Added `CTdec`, a Cartesian version of `Tdec`. (d77968e0) - - * Example: Calculate some tensor reductions for Cartesian integrals - - CTdec[{{l, i1}, {l, i2}}, {p1}] - - CTdec[{{l1, i1}, {l2, i2}}, {p1, p2}, List -> False] - -* Added `FCLoopMixedToCartesianAndTemporal`. The purpose of this function is to rewrite (when possible) integrals with both Lorentz and Cartesian or temporal indices to integrals that are free of Lorentz indices (448de342) - - * Example: Rewrite some integrals - - FCLoopMixedToCartesianAndTemporal[FCI@SFAD[{{q, q.p}, m^2}], {q}] - - FCLoopMixedToCartesianAndTemporal[ FCI[TC[k] FVD[k, mu] FAD[k, k + p]], {k}] - -* Added `FCLoopPropagatorPowersCombine`, `FCLoopPropagatorPowersExpand`, `FCLoopRemoveNegativePropagatorPowers` and `FCLoopNonIntegerPropagatorsFreeQ` to manage the propagator powers of `CFADs`, `SFADs` and `GFADs`. These functions were mainly introduced to manage various new propagators inside `FeynCalc`. They are probably not very useful for the normal users but can be handy when writing codes on top of `FeynCalc` (ff57f617) - - * Example: Combine identical propagators of a loop integral raised to different powers into one propagator - - FCLoopPropagatorPowersCombine[ SFAD[{{q, 0}, {m, 1}, 3}, {{q, 0}, {m, 1}, 4}]] - - - * Example: Rewrite propagators raised to an integer power as a list inside `FeynAmpDenominator` (relevant only for the `FCI` representation) - - FCLoopPropagatorPowersExpand[FCI[SFAD[{q, m, 2}, q + p]]] - - - * Example: Rewrite propagators raised to negative integer powers as scalar products - - FCLoopRemoveNegativePropagatorPowers[SFAD[{q, m}, q + p, {q, m, -2}]] - - * Example: Check if the given integral is free of propagator raised to noninteger (e.g. fractional or symbolic) powers - - FCLoopNonIntegerPropagatorPowersFreeQ[FCI@CFAD[{q + p, mm, 2}]] - (* True *) - - FCLoopNonIntegerPropagatorPowersFreeQ[FCI@CFAD[{q + p, mm, n}]] - (* False *) - - FCLoopNonIntegerPropagatorPowersFreeQ[FCI@CFAD[{q + p, mm, 0.5}]] - (* False *) - -* Added new function `FCLoopSamePropagatorHeadsQ` to detect integrals that simultaneously contain both purely Cartesian and purely Lorentzian propagators. Currently, those cannot be properly handled in `FeynCalc` (bc9a42f2) - - * Example: Check if the given integral is free of propagators with different `Head`s - - FCLoopSamePropagatorHeadsQ[FCI[SFAD[q,q-p]]] - (* True *) - - FCLoopSamePropagatorHeadsQ[FeynAmpDenominatorCombine[CFAD[q, q - p] SFAD[l, l + k]]] - (* False *) - - FCLoopSamePropagatorHeadsQ[FeynAmpDenominatorCombine[FAD[q, q - p] SFAD[l, l + k]]] - (* False *) - - -* Added new function `FCLoopMixedIntegralQ` to detect mixed Lorentz-Cartesian integrals. (3c6863cc) - - * Example: Check if the given integral is a mixed one - - FCLoopMixedIntegralQ[FCI[FVD[p, mu] SFAD[q, q - p]]] - (* False *) - - FCLoopMixedIntegralQ[FeynAmpDenominatorCombine[GFAD[TC[q] + EN] SFAD[q]]] - (* True *) - - -* Added new function `FCLoopEikonalPropagatorFreeQ` to detect eikonal propagators. (9f31f2fb) - - * Example: Check if the given integral is free of eikonal propagators - - FCLoopEikonalPropagatorFreeQ[FCI@SFAD[p, p - q]] - (* True *) - - FCLoopEikonalPropagatorFreeQ[FCI@CFAD[{{0, p.q}}]] - (* False *) - - -* Added `FCLoopBasisCreateScalarProducts`, an auxiliary function that creates a list of all loop-momentum dependent scalar products from the given lists of loop and external momenta. (8778efb7) - - * Example: Generate all `D`-dimensional scalar products for 2-loop 3-point function - - FCLoopBasisCreateScalarProducts[{l1, l2}, {p1, p2, p3}, {D}, Pair] - (* True *) - -* Added `$FCShowIEta` to control whether the `I Eta` should be explicitly shown in the `TraditionalForm` typesetting or not. If it is clear that all propagators have `+ I Eta`, it is more useful to set `$FCShowIEta=False`. (300bfb08) - - -### Kinematics and amplitudes - -* Introduced `FCRerouteMomenta`, a handy function that can automatically change the routing of the external momenta to make the amplitudes look simpler. It uses the supplied 4-momentum conservation and tries to minimize the number of momenta in propagators, 4-vectors, scalar products, Dirac slashes etc. (bcabba99) (26814232) - - * Example: Rewrite the amplitude in a more compact way using the momentum conservation relation `l1+l2=p1+p2+kp` - - amp = (-I)*Spinor[-Momentum[l2], ME, 1].GA[Lor3].Spinor[Momentum[l1], ME, 1]*Spinor[Momentum[p1], SMP["m_Q"], 1] . - GS[Polarization[kp, -I, Transversality -> True]].(GS[kp + p1] + SMP["m_Q"]) . GA[Lor3] . Spinor[-Momentum[p2], SMP["m_Q"], 1]* - FAD[kp + p1 + p2, Dimension -> 4]*FAD[{-l1 - l2 - p2, SMP["m_Q"]}, Dimension -> 4]*SDF[cq, cqbar]*SMP["e"]^3*SMP["Q_u"]^2 - - FCRerouteMomenta[amp, {l1, l2}, {p1, p2, kp}] - - -* Added new function `FCPermuteMomentaRules`, a convenience function for generating replacement rules for all possible permutations (renamings) of the given set of momenta. (9ff9423e) - - * Example: Give a set of rules for all possible permutations of the momenta `p1`, `p2` and `p3` - - FCPermuteMomentaRules[{p1, p2, p3}] - -* Added `FCReplaceMomenta`, a convenience function for replacing 4-momenta and 3-momenta in the given expressions. (3c5c8ae3) (d00dc59f) (28123ca9) - - * Example: Apply the substitutions `p1 -> P + 1/2 q` and `p2 -> P - 1/2 q` to the given amplitude - - amp = (-I)*Spinor[-Momentum[l2], ME, 1].GA[Lor3].Spinor[Momentum[l1], ME, 1]*Spinor[Momentum[p1], SMP["m_Q"], 1] . - GS[Polarization[kp, -I, Transversality -> True]].(GS[kp + p1] + SMP["m_Q"]) . GA[Lor3] . Spinor[-Momentum[p2], SMP["m_Q"], 1]* - FAD[kp + p1 + p2, Dimension -> 4]*FAD[{-l1 - l2 - p2, SMP["m_Q"]}, Dimension -> 4]*SDF[cq, cqbar]*SMP["e"]^3*SMP["Q_u"]^2 - - FCReplaceMomenta[amp, {p1 -> P + 1/2 q, p2 -> P - 1/2 q}] - - - * Notice that `FCReplaceMomenta` is not suitable for expanding in 4-momenta (soft limits etc.) as it does not check for cases where a particular substitution yields a singularity. For example, the following code obviously returns a nonsensical result - - FCClearScalarProducts[]; - SPD[q] = 0; - FCReplaceMomenta[FAD[q + p], {p -> 0}] - - -* Added new `DataType` `FCVariable` so that symbols marked as `FCVariable` will be pulled out from `Momentum`, `CartesianMomentum` and `TemporalMomentum`. (d0754e8b) (955fb6f2) - - * Example: For `SPD[c1 p1 + c2 p2, q]` with `c1` and `c2` being some constants (not 4-momenta), `ExpandScalarProduct` does not work properly - - SPD[c1 p1 + c2 p2, q] // ExpandScalarProduct - - Prior to `FeynCalc` 9.3 the only solution was to write the expression explicitly using the FCI notation - - Pair[c1 Momentum[ p1, D] + c2 Momentum[ p2, D], Momentum[q, D]] // ExpandScalarProduct - - Now we can explicitly declare `c1` and `c2` to be of the type `FCVariable` so that everything works as expected - - DataType[c1, FCVariable] = True; - DataType[c2, FCVariable] = True; - SPD[c1 p1 + c2 p2, q] // ExpandScalarProduct - - Notice that this also works for propagators, e.g. in `FAD[{q + c1 p1, m}]` as well as Dirac and Pauli matrices. Use `DataType[c1, FCVariable] = False` etc. to undo the declaration for a particular variable. - -* Added `ToStandardMatrixElement`. This function wraps spinor chains, color strutctures and polarization vectors into head `StandardMatrixElement`. This functionality was previously available only via `OneLoop`. The idea of having standard matrix elements is described in Denner's famous paper in Fortschritte der Physik, Vol. 41, Nummer 4, 1991, Section 5. (d456057a) (15238e61) (f70658ae) - - * Example: Decompose the given product of spinor chains into pieces with different chiral projectors - - - exp = Spinor[Momentum[k2, D], 0, 1].GAD[mu].Spinor[-Momentum[k1, D], 0, 1] * - Spinor[-Momentum[ps, D], SMP["m_s"], 1].GAD[mu].Spinor[Momentum[pd, D], SMP["m_d"], 1] - - ToStandardMatrixElement[exp] - -* Added `SquareAmplitude`, a simple function that multiplies amplitudes with their complex conjugates and returns the result without doing any evaluations. This function is particularly useful when some amplitudes evaluated with `FeynCalc` should be passed to `FORM` for calculating the amplitude squared (8165ef48) - - * Example: Construct the squared matrix element for a sum of three amplitudes `M1`, `M2` and `M3` - - - exp = SquareAmplitude[{M1, M2, M3}, {M1cc, M2cc, M3cc}] - - Total[exp] - - If the sum of the amplitudes corresponds to real corrections, i.e. the amplitudes are purely real, we can obtain a shorter expression - - SquareAmplitude[{M1, M2, M3}, {M1cc, M2cc, M3cc}, Real->True,List->False] - -### Tensors and vectors - -* Added new function FreeIndexFreeQ for checking whether the expression contains free (i.e. uncontracted) indices. (0e75d46c) - -* Added new objects for non-relativistic calculations. (a82bb76e) - - * Example: Following new tensor objects are now available - - - (* Temporal component of the 4-vector p^mu *) - TC[p] - - (* Cartesian 3-vectors *) - {CV[p, i], CVD[p, i], CVE[p, i]} - - (* Cartesian scalar products *) - {CSP[p, q], CSPD[p, q], CSPE[p, q]} - - (* Cartesian Kronecker deltas *) - {KD[i, j], KDD[i, j], KDE[i, j]} - - (* Cartesian Levi-Civita tensors *) - {CLC[i, j, k], CLCD[i, j, k], CLC[][p1, p2, p3], CLCD[][p1, p2, p3]} - - (* Dirac matrices with a spatial index *) - {CGA[i], CGAD[i], CGAE[i]} - - (* Dirac matrices contracted with a 3-vector *) - {CGS[p], CGSD[p], CGSE[p]} - - (* Dirac matrix with a temporal index *) - TGA[] - - (* Pauli matrices with a Lorentz index *) - {SI[mu], SID[mu], SIE[mu]} - - (* Pauli matrices contracted with a 4-vector *) - {SIS[p], SISD[p], SISE[p]} - - (* Pauli matrices with a spatial index *) - {CSI[i], CSID[i], CSIE[i]} - - (* Pauli matrices contracted with a 3-vector *) - {CSIS[p], CSISD[p], CSISE[p]} - - * Notice that the support for nonrelativistic calculations is still somewhat experimental and will be improved in the future versions of `FeynCalc`. - -* Added `ThreeDivergence` to differentiate w.r.t Cartesian vectors. It is essentialy the 3D analogon of `FourDivergence` (88d0213e) - - - * Example: Differentiate the given expression w.r.t `p^i` - - - ThreeDivergence[CSPD[p, r] CFAD[{p + q, m}], CVD[p, i]] - - -* Introduced `CartesianScalarProduct` to set scalar products of Cartesian vectors and `SetTemporalComponent` to set values of the temporal components of 4-vectors. (3b0c4b1b) - - * Example: Specify the value of the Cartesian scalar product `p.q` - - FCClearScalarProducts[]; - CSP[p, q] = mm; - ExpandScalarProduct[CSP[p + r, q + s]] - - * Example: Specify the value of the temporal component of `p^mu` - - FCClearScalarProducts[]; - TC[p] = x; - ExpandScalarProduct[TC[p + r]] - -* Added `EpsContractFreeQ` that can quickly check if the given expression contains epsilon tensors that can be contracted with each other. This is an auxiliary function that is useful when writing involved codes on top of `FeynCalc` (5b02fd19) - - * Example: Check some expressions - - - EpsContractFreeQ[FCI[LC[p1, p2, p3, p4]]] - (* True *) - - EpsContractFreeQ[FCI[LC[p1, p2, p3, mu] LC[q1, q2, q3, q4]]] - (* False *) - -* Added `DummyIndexFreeQ` that can quickly check if the given expression contains dummy indices. This is an auxiliary function that is useful when writing involved codes on top of `FeynCalc` (f0547fb9) (db47ddf0) - - * Example: Check some expressions - - - DummyIndexFreeQ[FCI[FV[p, mu] FV[q, nu]], {LorentzIndex}] - (* True *) - - DummyIndexFreeQ[FCI[FV[p, mu] FV[q, mu]], {LorentzIndex}] - (* False *) - - DummyIndexFreeQ[FCI[SUNT[a, b]], {SUNIndex}] - (* True *) - - DummyIndexFreeQ[FCI[SUNT[a, a]], {SUNIndex}] - (* False *) - -* Added `CartesianToLorentz`, a function that replaces Cartesian Dirac slashes and Cartesian scalar products with corresponding Lorentz tensors and temporal components. (44a6e961) - - * Example: Eliminate `ga^i p^i` in favor of `ga^mu p_mu` and `ga^0 p^0` - - CGS[p] // CartesianToLorentz - - - * Example: Eliminate `p^i q^i` in favor of `p^mu q_mu` and `p^0 q^0` - - CSP[p, q] // CartesianToLorentz - -* Added `LorentzToCartesian`, a function that decomposes selected Lorentz tensors into their Cartesian and temporal components. (1430daf2) - - - * Example: Decompose `p^mu q_mu` into its temporal and spatial components - - SPD[p, q] // LorentzToCartesian - - - * Example: Rewrite `eps^{mu nu rho si} p_rho q_si` as a linear combination of 3D Levi-Civita tensors - - LC[mu, nu][p, q] // LorentzToCartesian - - - -* Added `FCSetMetricSignature` and `FCGetMetricSignature`. Notice that currently the metric signature is mainly used by the functions `CartesianToLorentz` and `LorentzToCartesian`. It is e.g. not possible to set the signature to `{1,1}` and have Euclidean Dirac matrices (30c2c217) - - * Example: Get the current metric signature - - FCGetMetricSignature[] - (* {1,-1} i.e. mostly minus *) - - * Example: Changing the metric signature to mostly plus naturally modifies the output of `LorentzToCartesian` - - FCSetMetricSignature[{-1, 1}] - SPD[p, q] // LorentzToCartesian - - -* Added `FCSchoutenBruteForce`, a function that attempts to automatically simplify the given expression by applying Schouten's identity. Notice that what this function does is pure heuristics so that there is no warranty that it can achieve all possible simplifications (f23523b6) (21092852) - - * Example: Simplify the given expression using Schouten's identity - - exp = LC[][p1, p2, p3, p4] SP[p5, p6] + - LC[][p2, p3, p4, p5] SP[p1, p6] + LC[][p3, p4, p5, p1] SP[p2, p6] + - LC[][p4, p5, p1, p2] SP[p3, p6] - - FCSchoutenBruteForce[exp, {}, {}, Rule -> False] - - - -* Outsourced contractions of epsilon tensors to `EpsContract`. (2d1d8f6f) - - * Example: Calculate some contractions of epsilon tensors - - LC[][p1, p2, p3, p4] LC[][p1, p2, p5, p6] // EpsContract - - CLC[][p1, p2, p3] CLC[][p1, p2, p4] // EpsContract - -### Miscellaneous - -* Added new function `FCCheckVersion` that can abort the evaluation if the current `FeynCalc` version is too old. - -* Added `SMPToSymbol`, a small function for converting `SMP`s to symbols. (e473b3a4) - -* Introduced `FCSubsetQ`, a cheap replacement for the standard `SubsetQ`, which is unfortunately not available in `Mathematica` 8 and 9. The syntax is identical to that of `SubsetQ` (5a4eca2c) - -* Introduced `FCDuplicateFreeQ`, a cheap replacement for the standard `DuplicateFreeQ`, which is unfortunately not available in `Mathematica` 8 and 9. The syntax is identical to that of `DuplicateFreeQ` (b44bd2f7) - -* Added new auxiliary function `FCProductSplit` for splitting products into lists w.r.t a list of the given variables. (efedef66) - - - * Example: Fish out `a` and `b` from the product `a*b*c*d` - - FCProductSplit[a b c d, {a, b}] - - -* Added `FCReplaceAll` and `FCReplaceRepeated`, two handy functions for applying replacement rules sequentially. This avoid writing long chains of `ex /. rule1 /. rule2 /. rule3` etc. (00a34b65) - - - * Example: Apply a sequence of replacement rules to `a*c` - - FCReplaceRepeated[a c, {a -> b}, {c -> d}, {d -> e}, {b -> f}] - -* Introduced `FCPatternFreeQ`. It is just a convenience function that makes it easier to check for patterns in the arguments of `FeynCalc` functions and helps to avoid duplicated code. (212c2cba) - - * Example: Check some expressions - - - FCPatternFreeQ[{FV[p, mu]}] - (* True *) - - FCPatternFreeQ[{FV[p, _]}] - (* False *) - -* Added `FCCheckSyntax`, a helper function that attempts to identify errors in the user input. Notice that such checks are very expensive performance-wise, so they should not be used on a regular basis. Furthermore, `FCCheckSyntax` is not guaranteed to detect all possible syntax errors (6541e10d) (41b8b8eb) - - * Example: Check some expressions - - - FCCheckSyntax[GA[mu]*GA[nu]] - (* Typical mistake, using Times instead of Dot in noncommutative products *) - - FCCheckSyntax[FV[p, mu]*FV[q, mu]*FV[r, mu]] - (* Another common mistake, Einstein summation convention violated *) - - -* Added a new function `FCCompareResults`. It offers a convenient way to compare intermediate of final results to the known values. This function was originally written for example calculations to compare the final results with the literature. (1dab575b) (6287947b) - - * Example: Compare some expressions - - - FCCompareResults[{4, 4}, {2^2, 8/2}] - (* The results agree *) - - FCCompareResults[{3, 5}, {2^2, 8/2}] - (* The results disagree *) - - - -* Added `ExpandAll2` for fast expansions of very large expressions (like in Dirac traces). It is a very special auxiliary -function that is probably useful only in very special cases. The syntax is identical to that of `ExpandAll` (089eb9e6) - - * Example: Benchmark against `ExpandAll` - - - exp = Sum[p[i], {i, 1, 100}] Sum[q[i], {i, 1, 1000}]; - - AbsoluteTiming[ExpandAll[exp];] - - AbsoluteTiming[ExpandAll2[exp];] - (* In `Mathematica` 11.0 ExpandAll2 is almost 60% faster than ExpandAll! *) - - -* Added `FCMakeIndex`. It is a small convenience function for generating indices, i.e. `LorentzIndex`, `SUNIndex` etc. from the output of diagram generators such as `FeynArts` and `QGRAF`. Notice that `FeynCalc` currently does not offer a native interface to `QGRAF`. This is planned for future versions of the package. (2fad0817) - - * Example: Generate some indices - - FCMakeIndex["Lor", "1"] - - FCMakeIndex["Lor", {3, 1, 4}, LorentzIndex] - - FCMakeIndex["Sun", {"a", 1, -4}] - - -* Added new `SMP` objects. (d53496a9) (da890b9f) (f4bb3b73) (eaf5339f) - - * Example: Show all available `SMP`'s - - SMP[] - -* Added `FCShowReferenceCard` and a sample reference card for `FeynArts`. (a1d90ef2) - - - * Example: Show the reference card for `FeynArts` - - - FCShowReferenceCard[{"FeynArts"}] - - -* Added `TypesettingExplicitLorentzIndex` to allow user defined typesetting of explicit Lorentz indices. This was essentially added as a reaction to a request for MSE ([https://mathematica.stackexchange.com/questions/133114/how-to-differentiate-between-superscript-indices-and-powers-in-the-output/134146#134146](URL)) (8b1102de) - - - * Example: Make explicit Lorentz indices look red - - TypesettingExplicitLorentzIndex = Function[x, Style[x, Red]]; - - exp = 4 M^2 u FV[k, 0]^2 - 4 M^2 u FV[k, 3]^2 - - 4 M SP[k, k] - 2 M u FV[k, 0] FV[k, 3]^2 + - 4 M u FV[k, 0] FV[k, 2] - u^2 FV[k, 2]^2 - -* Added `FCGetNotebookDirectory[]`, a simple convenience function that is like `NotebookDirectory[]`, but works also when the Front End is not available. This is especially useful when running some .m scripts from the terminal (600c95ba) - -* Added `FCReloadFunctionFromFile`, an auxiliary function that is useful for debugging the existing `FeynCalc` functions without reloading the kernel. This is a helper function for developers that is not meant to be employed by the users (c51fe7d0) - - - * Example: Reload the definition of `Collect2` - - FCReloadFunctionFromFile[Collect2, FileNameJoin[{$FeynCalcDirectory, "Shared", "Collect.m"}]] - -* Introduced `FCProgressBar`. It is a small auxiliary function that can be used to show the current progress of processing a list of objects with a given function. (d72b205e) - - * Example: Show the progress of some calculation - - FCProgressBar["Calculating something ", i, 10], {i, 1, 10}] - +* `FCAttachTypesettingRule` and `FCRemoveTypesettingRules` for attaching/removing custom TraditionalForm typesetting rules to arbitrary symbols. (a71398aa) + * Example: Make p1, p2, p3 and p4 look nice with proper subscripts + MapThread[FCAttachTypesettingRule[#1, {SubscriptBox, "p", #2}] &, {{p1, p2, p3, p4}, Range[4]}]; ## New options, features and other improvements -#### Miscellaneous - -* Improved `FCUseCache` to take NR quantitites into account when caching. (ca446ee4) -* Allowed `SquareAmplitude` to handle amplitudes of different length (e.g. RV- contributions). (ba642612) -* Modified the debugging interface to have negative values of `FCVerbose` parsed correctly. (0771fa6e) -* Improved factoring of momenta arguments in `DotSimplify`. (bacfa855) -* Improved `Cases2` not to generate erroneous messages when handling functions that must have more than one argument (e.g. `PolyLog`s) (d34a9e64) -* Modified the behavior of `ComplexConjugate` not to abort the evaluation if the expression cannot be strictly factored into Dirac, Pauli and color parts. This should fix Issue #51. (e53bdc0d) -* Improved `FCRenameDummyIndices` and `FCCanonicalizeDummyIndices` to work with `DiracIndex`. (74540c36) -* Added new internal variable ```FeynCalc`Private`AddToTheWhiteListedContextAdditions```. It is meant for packages that add stuff to the `Global` context so that there will be no warning messages when `$FCCheckContext` is set to `True`. (d57682f4) -* Added new option `FreeQ` to `FCGetDimensions` that allows to specify objects to be ignored when extraction dimensions present in the expression. (32aff18b) -* Made `FC{Dirac,Color,Pauli,Matrix}Isolate` listable. (14d5ac71) -* Improved `FCRenamingDummyIndices`. (0f1ecb94) -* Added new option `DiracIndexNames` to `FCCanonicalizeDummyIndices`. (53fec02e) -* Improved the `Conjugate` option of `ComplexConjugate` following the suggestion of JP-Ellis from https://github.com/FeynCalc/feyncalc/pull/48 (4327daf7) -* Completely refactored ComplexConjugate, adding support for DiracChains and PauliSigmas. (82bdedc9) -* Added the `TimeConstrained` option to FCColorIsolate. (0c29d439) -* Improved `Uncontract` to handle `DiracChain`s. (ba756e9c) -* Improved `FCCanonicalizeDummyIndices` to handle `DiracChain`s. (4801967e) -* Improved `DotSimplify` to apply DiracChainFactor when the input contains `DiracChain` symbols. (9f268817) -* Various functions now support the option `FCE -> True` to convert the output to the `FeynCalcExternal` form. -* Added new option `Expand` to `NTerms`. (e8cc7378) -* Moved `OptionsSelect` and `$Gauge` from `FeynCalc.m` to `Phi`. (7bc5d54d) -* Added an option `Conjugate` to `ComplexConjugate`. Now it is possible to wrap arbitrary variables into `Conjugate` heads, i.e. coupling constants. (cc79324f) -* Improved `MomentumCombine` to work also on `Eps` tensors. This can be disabled via the option `LC->False` (thanks to Pablo Sanchez Puertas for the suggestion) (4bfe6e59) -* Added a new option `ChangeDimension` to `FCGetDimensions`. When set to true, the dimensions of Cartesian objects will be determined with respect to the Lorentz objects from which they originate. In this case the dimension of `CV[p,i]` will be 4 and not 3. This is mainly required for functions related to the Dirac algebra, which need to check the dimensions in order to be conistent with different gamma_5 schemes. (d231c3ec) -* Added new option `Head` to `FCFactorOut` (e508b29b) -* Added new option `Full` to `ExpandScalarProduct`. Together with the momentum options it allows even more fine-grained expansions, e.g. for `ExpandScalarProduct[SP[l+p1+p2+p3,q1+q2+q3+q4],Momentum->l,Full->False]`. This helps to avoid an unnecessary proliferation of terms. (64c6e504) -* Added a new option `ExpandScalarProduct` to `Contract`. When set to `False`, scalar product will not be expanded which should give a speed up on QCD diagrams with 3- and 4-gluon vertices. (50e860b1) -* Changed the behavior of `Collect2` on expressions that contain none of the specified monomials. Now such expressions will be factored (according to the `Factoring` option) in the output. This is a more consistent behavior compared to what we had before. (c9219af6) -* Improved `Collect2` so that it can now thread over (lists of) replacement rules. This is particularly useful when applying `Collect2` to the output of `Solve`. (5c334b7d) -* Changed the ordering of InitialFunction and `FCFactorOut` in `Collect2`. It is better to first factor out the overall coefficient and then apply the `InitialFunction` (e.g. `Expand`). (3dc17555) -* Modified the option `Factoring` of `Collect2` so that one can specify the maximal `LeafCount`. Terms that are more complicated than that will not be factorized. (f9a12d59) - -* New options added to `Collect2` - * `TimeConstrained`, specifies the maximal amount of seconds that can be spent on factoring a single term. Default value: `Infinity` (958d5536) - * `Head->{h1,h2}`, will wrap the product of the monomial and the coefficient into `h2` (cba0b153) - * `InitialFunction -> fun`, applies `fun` to the expression before collecting the monomials (cba0b153) - * `IntermediateSubstitutions`, specifies a set of replacement rules to applies to the expressions after applying `InitialFunction` (cba0b153) - * `Numerator` and `FactoringDenominator`. These options are meant for cases where `Collect2` is used on fractions, i.e. `Collect2[(....)/(....),...]`. With `Numerator->True` `Collect2` will be applied only to the numerator but not the denominator. `FactoringDenominator` allows to specify a function that will applied to the denominator, e.g. `Factor2`. (1e48d104) - -* Miscellaneous improvements and optimizations in various functions - * `Contract`: (f1538e4e) - * `ExpandScalarProduct`: (7bb494c4) (358365b3) - * `FourDivergence`: (f00d8584) - * `SUNSimplify`: (ef8500a5) - * `PairContract`: (b538f4eb) - * `MomentumCombine`: (f2da34ad) - * `ChangeDimension`: (262aa4b0) - * `DoPolarizationSums`: (40710e25) - * `EpsEvaluate`: (3627da9b) - * `FCSplit`: (5c42c5f6) - * `Collect2`: (4573748f) - -#### Typesetting - -* Improved typesetting of `Eps` to have explicit distinction between `4`- and `D`-dimensional Levi-Civita tensors. (38151c96) -* Improved the typesetting rules to avoid unnecessary calls to `FCI` and `MomentumExpand`. (e11aa3ae) -* Improved typesetting of `FAD`s so that now objects like `FAD[p,Dimension->4]` or `FAD[{p+q,m}, Dimension->D-4]` will have the momenta displayed with the correct bars and hats. This way now one can immediately see the dimension of a `FAD`. (30542a78) -* Improved typesetting of `FeynAmpDenominator`. (1e802f06) -* Improved typesetting of four vectors. (87fab6da) - -#### `FeynArts` - -* Improved `FCPrepareFAAmp` to support the new `PropagatorDenominator` syntax of `FeynArts` 3.12 (thanks to Will, ) (6946116f) -* Improved `FCPrepareFAAmp` to handle the input from `FeynArts` with explicit Dirac indices (issue # 46). (7eed481b) -* Added new option `FAModelsDirectory` to `FAPatch` so that we can also patch models that are not in `FeynArts/Models`. (9341acea) -* Patch `FCFAConvert` to support empty diagram lists (#43) (e01b3b8b) -* Updated `FCPrepareFAAmp` to handle Majorana spinors. (a84199f2) -* Improved `FCFAConvert` to handle `FeynArts` models with `SUND`s in the Feynman rules (thanks to A. Hayreter). (59002150) -* Added a new option `Prefactor` to `FCFAConvert`. (8e8d0b96) -* Added new option `Contract` to `FCFAConvert`. Sometimes it is convenient to carry out all the Lorentz contractions immediately after generating the amplitudes. (c5e593bd) -* Improved handling of CKM matrix element when converting from `FeynArts` to `FeynCalc`. (90d42d47) -* Updated `FeynArts` patching function to protect the `SI` shortcut. (b818e820) - -#### Dirac algebra - -* Modified the behavior of `DiracReduce` not to output DiracSigmas with `FCE` applied to their arguments. (2c4793f5) -* Improved performance of `DiracSimplify` on contractions from large traces. (834cefa9) -* Improved formulas used in `PauliTrick`. (e687d04c) -* Updated `FCPauliIsolate` to have similar features as `FCDiracIsolate`. (096a12c0) -* Added new option `FeynAmpDenominatorCombine` to `FCFAConvert`. When set to False, propagators raised to integer powers will be returned e.g. as `FAD[p1+p2]^2` instead of `FAD[p1+p2,p1+p2]`. This should emulate the old behavior of `FeynArts` before the change that occurred on the 19.03.2019. (ec976f75) -* Improved `DiracSimplify` on expressions with Cartesian tensors. (8921a977) -* Added new option `CartesianIndex` to `FCDiracIsolate`. (006f65f2) -* Added new options `LorentzIndexNames` and `CartesianIndexNames` to `ToStandardMatrixElement`. This way we can choose nicer looking indices when applying the function. (9020ffe5) -* Improved the parsing of `FeynArts` amplitudes with 4-fermions when using the `UndoChiralSplittings` option. (6f018947) (221af0f3) -* Improved handling of 4-fermion diagrams in `DiracSimplify` and `ToStandardMatrixElement`. (d6699ac3) -* Improved BMHV algebra in `DiracTrick` so that chiral structures of the expression (`GA[6]` and `GA[7]`) do not get messed up when moving chiral projectors past other matrices. (081fb5e0) -* Added new options `DiracSimplify` and `DiracEquation` to `ToStandardMatrixElement` to have more fine grained control over the process. (f43caece) -* Added new options `LorentzIndexNames` and `CartesianIndexNames` to `DiracSimplify`. This can help to avoid additional index canonicalizations when applying DiracSimplify to a list of amplitudes. (50f01060) -* Small optimization in `DiracSimplify` regarding Sirlin relations. (69cb590d) -* Made `DiracSimplify` listable. (61872d54) -* Added new options `LorentzIndexNames` and `CartesianIndexNames` to `SpinorChainTrick`. (a63eb61b) -* Added new option `FCTraceExpand` to `FCDiracIsolate` and changed the default value of the factoring option to `{Factor2, 5000}`. (21235227) -* Improved `DiracTrace` to evaluate simple traces before entering the main evaluation function via `DiracTrick`. (d60a0b6b) -* Improved `DiracSimplify` not to miss certain contractions. (6a01f4dd) -* Allowed `DiracChain` symbols to factor out an overall numerical coefficient. (e71bf706) -* Added additional simplifications in `DiracTrick` for the `NDR-Discard` scheme. (021c5030) -* Added fast mode to `DiracTrace`. (53d2e07a) -* Modified `DiracEquation` not to mess up the chiral structure of the input expressions. (43799615) -* Refactored `Anti5` to call `DiracTrick` for all g^5-related manipulations. (f3a23a7f) -* Improved `DiracSimplify` to try to repeat the attempt to calculate the trace at a latter stage. This is mainly relevant for NDR, where the trace might become simpler at a latter stage. (64ea28f3) -* Improved `Chisholm`, `DiracOrder`, `EspChisholm`, `FCChargeConjugateTransposed` and `SpinorChainTranspose` to handle `DiraChain` objects. (3c48b725) -* Improved `FCDiracIsolate`, `FCPauliIsolate` and `FCColorIsolat` to wrap the prefactor of the matrix chain into a user-specified head via the Head option. (47f48b2f) -* Improved `DiracSimplify` to handle `DiracChain`s. (1b1b1d1d) -* Improved `DiracTrick` to support `DiracChain`s. (553ff9c4) -* Added a fast mode to `DiracChainJoin`. (a327b9d4) -* Improved `FermionSpinSum` to handle amplitudes squared that involve Majorana spinors. The reordering of spinors in the corresponding chains can be turned off via the option `SpinorChainTranspose`. (71b9d256) -* Added a new option `FCJoinDOTs` to `DotSimplify`. This allows to inhibit the joining of DOTs when `Expanding` is set to False. The same option is now also available in `FCDiracIsolate`, `DiracTrick`, `Chisholm`, `DiracOrder` and `EpsChisholm`. (34f08996) (c280442e) - -* New options added to `FCDiracIsolate` - * `Polarization`, when set to `True`, also tensors contracted with polarization vectors will be isolated together with the Dirac structures. Default value: `False` (bae9eadd) - * `Spinor->Join`, when the already existing option `Spinor` is set to `Join`, products of spinor chains will be wrapped into one head, which is useful for a range of special identities. (fbdfcecf) - * `TimeConstrained`, specifies the maximal amount of seconds that can be spent on factoring a single term in the application of `Collect2`. Default value: `3` (fcf27e17) - -* New options added to `DiracSimplify` - * `DiracSubstitute5`, when set to `True`, the function `DiracSubstitute5` will be applied to the input expression . Default value: `False` (7de810df) - * `DiracTrace`, when set to `False`, `DiracSimplify` will completely ignore all Dirac traces in the expression. Default value: `True`. (3a439bbe) - * `Expand2`, when set to `False`, `Expand2` will not be applied to the final result. Default value: `True`. (ac506e16) - -* Miscellaneous improvements and optimizations in various functions - * `DotSimplify`: (f66d9973) (f3accd1d) (e7830814) (9d622473) - * `DiracTrick`: (4212b34c) (d8d8a496) (e3097739) (a72ac349) (3ab2aa76) (748255e6) (92a7db05) (45e04933) (86517dda) - * `DiracOrder`: (7fd172af) (a9af59b3) - * `DiracEquation`: (86517dda) - * `DiracTrace`: (f9457758) (60eee612) - * `DiracReduce`: (389021fd) - * `Chisholm`: (5208ffb2) (a9af59b3) (d3030b84) - * `DiracGammaCombine`: (a9af59b3) - * `DiracGammaExpand`: (a9af59b3) (53fbf542) - * `EpsChhisholm`: (a9af59b3) - * `FCDiracIsolate`: (4b2f7ed9) (86517dda) - * `FCTraceExpand`: (9d622473) - * `DiracSimplify`: (153c344d) (6e74bd96) (47faf5eb) (86517dda) - * `DiracTrace`: (78f8de5a) (bb826aa8) (47faf5eb) (f1538e4e) - -#### Cartesian tensors - -* Improvemenets of various functions to support Cartesian tensors: `Contract`, `DiracSigmaExplicit`, `DiracTrace`, `DiracOrder`, `DiracSimplify`, `DiracOrder`, `DiracTrick`, `ToDiracSigma`, `DiracEquation`, `DotSimplify`, `DiracSigmaExplicit`, `DiracGammaCombine`, `DiracGammaExpand`, `FCDiracIsolate`, `FCTraceExpand`, `FCTraceFactor`, `ToLarin`, `EpsChisholm`, `Chisholm`, `EpsEvaluate`, `ExpandScalarProduct`, `FCGetDimensions`, `MomentumCombine`, `MomentumExpand`, `FeynAmpDenominatorSplit`, `FCCanonicalizeDummyIndices`, `FCLoopIsolate`, `FCGramDeterminant`, `FCGramMatrix`, `PaVeReduce`, `FCLoopSolutionList`, `FCLoopCanonicalize`, `ChangeDimension`, `FCRenameDummyIndices`, `ComplexConjugate`, `FCReplaceD`, `PropagatorDenominatorExplicit`, `FeynAmpDenominatorCombine`, `Calc`, `Tr2`, `Trick`, `Anti5`, `DoPolarizationSums`, `PolarizationSums`, `Uncontract`, `FermionSpinSum` `FCClearScalarProducts` `Eps` (4827b5d3) (f7797f05) (aed41980) (209de41e) (4202cc6c) (265cd258) (c229666e) (98cbefc3) (f7c77b20) (2839e4b4) (0f4e03b4) (265638e9) (0cd763c8) (ed5b7c53) (789da180) (23b138d8) (a374b2fd) (081f2ec5) (b20b55f5) (108702ee) (112f2707) (d1feae49) (ac18f860) (36148aca) (afeb7f22) (75f1091e) (b40a399c) (4fb85670) (ca8f1396) (b572d81e) (3d3923d0) (ddd968e0) (51477c4e) (2caa6cfb) (1aa319d4) (17ce0a3f) (2d42c7c3) (cc8221dc) (518d4cd4) (0829849d) (626114ab) (2d1d8f6f) (123c5e52) (5c43cf49) (6ad513ec) - -#### Loop integrals - -* Improved performance in `FCLoopExtract`, `FCLoopIsolate` and `FCMultiLoopTID` (98a10039). -* Improved performance of `FCApart` by using memoization. (9f19c326) -* Added new option `MaxIterations` to `PaVeReduce`, so that one can limit the depth of the reduction. (4d32be8c) -* Improved `FCLoopBasisIntegralToPropagators` and `FCLoopBasisIntegralToPropagators` to allow for lists of propagators in the input. (b48a10e9) -* Added new option `PaVeOrder` to `ToPaVe`. When used together with `PaVeAutoOrder` this will completely disable the reordering of the arguments using symmetries of the `PaVe` functions. (0938f7d4) -* Improved `TarcerToFC` to properly recover the external momentum from scalar products using the new option ScalarProduct. (a2af7454) -* Added some additional rank 4 2-loop tensor decompositions to `TIDL`. (d83b42e6) -* Improved `PaVeReduce` not to remove external isolations. (69225bad) -* Improved `FCApart` to handle nonlinear loop integrals. (f5b0f90a) -* Improved `FCMultiLoopTID` to handle NR integrals. (dd56a002) -* Improved `FCLoopBasisExtract` and `FCLoopBasisOverdeterminedQ` not to freak out on nonlinear/nonstandard integrals. (bc886f6d) -* Improved `ApartFF` and `FCApart` to avoid issues with `Collect2` never finishing due to bugs in ` Mathematica` 's `Factor`. The option `Factoring` is now given as a list, e.g. `{Factor2, 5000}`. The second value is the maximal `LeafCount`. Coefficients that have a higher LeafCount value will not be factored but left as they are. The option `TimeConstrained` is passed to `Collect2`. Here we set `3` seconds as a safe default. If the user exprects more compact results when facotrization is allowed to try harder, he or she should modify the options `Factoring` and `TimeConstrained` accordingly. (bbc38955) -* Improved `TID` and `FCMultiLoopTID` to handle input with `DiracChains`. (69481170) -* Added an option `Collecting` to `PaVeReduce` to prevent some reductions from never terminating (thanks to C. Bobeth). (0eea4f8f) -* Added new option `Momentum` to `FeynAmpDenominatorCombine`. It makes it possible to combine only those `FADs` that depend on the given set of momenta. (ee4245e4) -* Added new option `Head` to `Tdec`. (b1e2b5bd) -* Added new option `TID` to `ToTFI` (thanks to P. Schicho for the suggestion). (231d64a0) -* Added new option `Subtract` to `FCHideEpsilon` and `FCShowEpsilon`. This allows one to specify what will be abbreviated together with `1/Eps`, i.e. we are not limited to `1/Eps - EulerGamma + Log[4Pi]` anymore. (0c70248a) -* Modified `FCApart` not to mess with the propagators when `FDS` is set to `False` and to apply `FCE` (when needed) even to expressions that do not require partial fractioning. (37214903) -* Added new option `List` to `FeynAmpDenominatorSplit`. Now we can also obtain a splitted `FAD` as a list of single denominators. (e60fe5e6) -* Improved `TID` to avoid issues with `Collect2` never finishing due to bugs in `Mathematica`'s `Factor`. The option `Factoring` is now given as a list, e.g. `{Factor2, 5000}`. The second value is the maximal `LeafCount`. Coefficients that have a higher `LeafCount` value will not be factored but left as they are. The option `TimeConstrained` is passed to `Collect2`. Here we set 3 seconds as a safe default. If the user expects more compact results when factorization is allowed to try harder, he or she should modify the options `Factoring` and `TimeConstrained` accordingly. (21c9c3d0) - -* New options added to `FCLoopIsolate` and `FCLoopExtract` - * `FAD`, `SFAD`, `CFAD`, `GFAD`. When set to `False` the corresponding denominator will be ignored. Default values: `True` (57d8f075) - * `Numerator`, when set to `False` only denominators will be isolated. This is meant for the cases when we are interested only in propagators but not in the scalar products (e.g. when we are doing a topology identification). Default value: `True` (54c14e95) - -* New options added to `FCLoopBasisFindCompletion` - * `Check`, when set to `False`, we can also supply less propagators than needed to complete the basis via `Method`. As long as those propagators fit properly, they will be accepted. Default value `True` (2defcf3f) - * `Abort`, when we have a user supplied list of propagators and `Abort` is set to `True`, `FCLoopBasisFindCompletion` will immediately stop once it encounters a propagator that cannot be used to complete the basis. This options makes sense only when `Check` is set to `False`. Default value: `False` (4cd8c36f) - * `ExpandScalarProduct`. Internally we need to apply `ExpandScalarProduct` to check the basis completion, but sometimes we want to custom propagators to be returned unexpanded. Now this is possible when `ExpandScalarProduct` is set to `False`. Default value: `True` (6e1219da) - -* New options added to `FeynAmpDenominatorExplicit` - * `Denominator`, to wrap propagator denominators in the given head. Default value: `Identity`. (51fc4da4) - * `ExpandScalarProduct`, when set to `False`, `ExpandScalarProduct` will not be applied to the result. Default value `True`. (3572db28) - * `MomentumCombine`, when set to `False`, `MomentumCombine` will not be applied to the result. Default value `True`. (3572db28) - * `SmallVariable`, when set to `True`, `SmallVariable`'s in the propagator denominators will be set to zero. Default value `False`. (cdbc121b) - - * `Mandelstam`, when set to a non-empty list that is a valid second argument of `TrickMandelstam`, this function will be applied to the result. Default value: `{}`. (cdbc121b) - -* New options added to `SimplifyPolyLog` - * `EulerGamma`, when set to `True`, all `EulerGamma` will be dropped when simplifying `PolyGamma` functions. Default value: `False` (dde6afdd) - * `Sqrt`, when set to `False`, functions with square roots in their arguments will not be simplified. Default value: `True` (0bc92d2a) - * `Log`, when set to `False`, `Log`s will not be simplified. Default value: `True` (8d750492) - * `Trig`, when set to `False`, trigonometric functions (`ArcSihn`, `ArcCosh`, `ArcTanh`) will not be simplified. Default value: `True` (7fb37a60) - * `PolyLog`, when set to `False`, polylogs will not be simplified. Default value: `True` (28168962) - * `Nielsen`, when set to `False`, `Nielsen` will be converted to `PolyLogs` in the final result. Default value: `True` (5bb8131a) - -* New options added to `ApartFF` - * `MaxIterations`, determines the maximal number of interations to achieve full partial fractioning. Default value: `Infinity` (47a532c9) - * `Numerator`, when set to `False`, partial fractioning will be applied only to the propagator denominators, but not numerators. This is sometimes more useful when dealing with multiloop integrals. Default value: `True` (8918b220) - - -* Miscellaneous improvements and optimizations in various functions - * `FCLoopBasisOverdeterminedQ`: (52bf243d) (1d5d7271) (207b7f76) - * `FCLoopBasisIncompleteQ`: (52bf243d) - * `FCLoopBasisIntegralToPropagators`: (467e86cb) (11b153be) (6195d440) (a2e5485d) (8ce4ac38) (20676a4b) (b28b0d2b) - * `FCLoopIsolate`: (4d641b95) (d9f4ed15) - * `FCLoopBasisExtract`: (467e86cb) (05085495) (1bada3da) (05732bb0) (207b7f76) - * `FCLoopExtract`: (c6443ae3) - * `OneLoopSimplify`: (a7a28ff2) - * `OneLoop`: (51a658bf) (46f15431) - * `FCMultiLoopTID`: (46c78f0f) (d3ea5b04) (ea1f0769) - * `TID`: (cb109c2a) (97f9fe6c) (1a1c13b8) (278d2b28) (d0ab6d53) (43cd70fa) (ab863779) (aa8e6bf4) - * `FDS`: (fed3b259) (1a1c13b8) (4763a181) (6e0f5c7c) (81df755e) (2c671abf) (bf4dcd4e) (427c4434) (d5d68b15) (f62cc928) (3d41a694) - * `SimplifyPolyLog`: (4429da9a) (bd2f788f) (e4d9bb99) (357463ec) (615022b1) (925e489f) (29135ecc) - * `ToPaVe`: (3299a73d) (3395a452) - * `ToPaVe2`: (e360de81) - * `ApartFF`: (1a1c13b8) (278d2b28) (06de9161) (5a2b39ab) (d8e70625) - * `FeynAmpDenominatorSplit`: (92f81fd1) - * `FeynAmpDenominatorCombine`: (7a7493c2) (9bd0eccf) (95529a5a) (0d764f97) - +* Marked `SMP`s as `FCVariables`. (716e43f4) +* Added a more complete tutorial to the documentation. (1c195531) +* Improved the documentation on `DiracSimplify`. (87c69fee) +* Improved the handling of new propagators in `FDS`. (d9debc6b) +* Improved debugging output in `TID`. (d26142ce) +* Improved `TID` to work on lists of amplitudes. (55e053d8) +* Applied the `Collect2` time constrained trick to `FCLoopSplit` to avoid slow downs on large expressions. (6afd0667) +* Modified the behavior of LorentzIndex when the argument is a `CartesianIndex`. This should allow for using spatial/temporal pieces of the built-in QCD vertices. (b7b622b7) +* Modified `Explicit` to allow for adding extra symbols that remain unevaluated unless `Explicit` is set to `True`. (01e66c02) +* Modified `CartesianIndex` to have `CartesianIndex[CartesianIndex[i]]` evaluating to `CartesianIndex[i]`. (59fb4ad4) +* Added new feature to `FCFAConvert`: The options `IncomingMomenta`, `OutgoingMomenta`, `LoopMomenta`, `LorentzIndexNames` and `SUNFIndexNames` can be set to a symbol (e.g. `p`), in which case it will be automatically extended to `p1`,`p2`,`p3` etc. (254655a1) +* Improved `Apart2` to partial fraction Cartesian propagators with square roots. (c84d09fa) +* Improved `ApartFF` for nonstandard integrals by adding the extraPiece-Mode. By multiplying the integral with unity consisting of a suitably chosen numerator and denominator one can often cast integrals into a desired form which would not be achievable automatically otherwise. (142f1977) +* Moved the `DropScaleless` option to `SharedOptions.m` (e73b0624) +* Improved debugging output in `DiracReduce`. (792b9dbc) +* Added new option Uncontract to `FCMultiLoopTID`. This allows to tell the function to uncontract specified momenta from scalar products and perform reduction on the resulting tensor integrals. Effectively, the function will then behave similarly to TID. (2026592a) +* Improved `FCLoopBasisIntegralToPropagators` to work with rational powers of scalar products. (4ba4f565) +* Improved `ExpandScalarProduct` to expand momenta inside functions declared as tensors. (4867d56d) +* Improved `FCLoopBasis` to handle propagator powers that are polynomials in symbolic variables. (1b61bb27) +* Improved `PauliSimplify` to handle lists and equations. (2a5f6a14) +* Added missing `PauliTrace` option to `PauliSimplify`. (256fd91a) +* Improved `ComplexConjugate` to properly handle input with patterns. (fd00a9f6) +* Made the behavior of `FCProductSplit` more consistent. (1c72f055) +* Improved `FCLoopIntegralToPropagator` and `FCLoopBasisExtract` to handle symbolic propagator powers. (6738905f) +* Added support for Pauli trace calculations in 3 dimensions. (670e65d8) +* Improved `Contract` for cartesian Eps tensors. (bc067a35) +* Set `PauliReduce` to `False` by default in the Pauli algebra routines. (d7f1536b) +* Added experimental support for `FerSolve` from `FeynHelpers` in `Tdec`. (30e01011) +* Improved `FCPauliIsolate` to support Pauli traces. (ad30040d) +* Improved `FCTraceFactor` and `FCTraceFactor` to work with Pauli traces. (737a4065) +* Improved Dirac algebra related functions to handle lists and equalities in a proper way. (4ca64662) +* Added new option InitialSubstitutions in `FCFAConvert`. If the user wants to omit some vertices by setting their coupling constants to zero, it is better to do this before `Contract` and `FCFADiracChainJoin` using this option. (b412da8c) +* Small improvement in `DiracChainJoin`. (d49beefa) +* Improved `DiracSimplify` and `SpinorChainTrick` for expression containing multiple products of Dirac spinors. However, to avoid unnecessary slowdowns from now on we will not canonicalize indices and apply Sirlin relations by default. When needed, those can be always enabled via options. (71c65fb4) +* Improved `DiracOrder` to ensure that the indices are always correctly ordered, even when we have products of multiple Dirac chains. (5660dbe4) +* Improved `FCDiracIsolate` for expressions with products of spinor chains (e.g. from 4-fermion operators) (443e5a5f) +* Improved `DiracOrder` to ensure that the indices are always correctly ordered, even when we have products of multiple Dirac chains. (7144716f) +* Small performance improvement in `FCFADiracChainJoin`. (93346737) +* Improved `DiracSimplify` to work also for equations. (d6e14877) +* Added new option `ClearHeads` to `ToStandardMatrixElement`. This allows to apply the function to expressions that are already wrapped into `StandardMatrixElement` heads. (c5c6dd1c) +* Made the second `Collect2` in `FCMultiLoopTID` respect the `Factoring` and `TimeConstrained` options. (c3a73213) +* Added code for generating Markdown files out of FeynCalc example notebooks. (0fd06bc8) +* Added an extra example to the documentation of `PaVeUVPart`. (b3a24af2) +* Removed `DocSource` from export-ignore to avoid missing documentation when using automatic installer. (f742fb1c) +* Added a list of available datatypes that is shown when calling `DataType[]`. (663c093b) +* Updated documentation on `PolarizationVector` to clarify the meaning of the option `Transversality->True`. (764c9e52) +* Replaced remaining instances of `MapThread[...]` with `Thread[Rule[a,b]]`. (5c425eae) ## Bug fixes -* Fixed `DCHN` typesetting for spinors with D-dimensional momenta. (b08e3edd) -* Fix an infinite loop in `ExpandAll2[]`. (#45) (22628122) -* Fixed `UndoChiralSplittings` in `FCPrepareFAAmp` for explicit Dirac indices. (2d2904f2) -* Fixed a bug in `GhostPropagator`, where the sign from `QCDFeynmanRuleConvention` was ignored. (b79b3573) -* Fixed/improved some descriptions of the functions. (f5a6900d) -* Fixed a bug in `DiracSimplify` not recognizing traces free of Dirac matrices. (a186d537) -* Fixed a bug in `ComplexConjugate` regarding the conjugation of `FCChargeConjugateTransposed` expressions. (348918b4) -* Corrected EW examples where the gauge terms of weak bosons were missing in the unitarity gauge. Thanks to N. Steinberg. (b9338605) -* Fixed a bug in `DiracChainCombine` that did not take into account products of `DCHN`s in the input. (bac01220) -* Cleaned up the source code following the WWB warnings. (4d8715ad) -* Fixed a performance issue in `FCDiracIsolate` that made `FCFADiraChain` join painfully slow at 2-loops. (4360a634) -* Fixed not working cases of `diracTrickEvalFast` in `DiracTrick`. The new debugging option Evaluate should help in catching such cases via unit tests. (b563a17b) -* Fixed a small bug in `DiracTrace` when traces of `DOT[1,1]` and alike are not fully evaluated. (555a1739) -* Fixed bugs in `TID` and `FCMultiLoopTID` when we have loop momenta inside Dirac traces that cannot or should not be evaluated. (e638daba) -* Fixed a bug in `FCPrepareFAAmp` when specyfing explicit SU(N) indices in the FA input. (3d34989e) -* Fixed multiple typos (thanks to Hermès BÉLUSCA - MAÏTO). (eca73ac6) -* Fixed the option `ExceptHeads` in `FCColorIsolate` so that it can be used to filter out `SU(N)` constants in `StandardMatrixElement`. (55d97635) -* Fixed a typo in `FeynCalc.m` (66d4b984) -* Fixed a bug in `Tr2`. (b7e8be20) -* Rebuild the new documentation for `FeynCalc` 9.3. This should solve Issue #20, Issue #25, Issue #36 and Issue #44 (c6d41ea8) -* Fix the renormalization example. (f1639276) -* Reworked error messages in mixed dimensions in schemes other than BMHV. This way the user should better understand what is going wrong. (45363084) -* `TID`: Do not fail with weird error messages when the loop momentum is inside a list. (8ee8b593) -* Fixed a bug in the detection of variables leaking into the `Global` context. (97d0e853) -* Fixed an issue with `$SystemMemory` missing in `Mathematica` 8 and 9. (1b7cb9cf) -* Disabled automatic expansion of momenta in Dirac spinors. Otherwise it is impossible to apply `MomentumCombine` when needed. (7ba7fcfd) -* Do not allow `Uncontract` act on expressions with symbolic or negative powers: this inevitably generates wrong results. (ea32f1e1) -* Blocked obviously illegal `SUNIndex` and `SUNFIndex` objects. (44002e8f) -* Fixed a bug when `FCSplit` would not immediately abort the evaluation although the second argument is not a list. (76a8b277) -* Fixed a bug, where a conversion rule was missing in `TarcerToFC`. (428f4d18) -* Fixed several bugs in `DotSimplify` that prevented an efficient application of predefined commutation and anticommutation rules. (eff659e1) -* Added a workaround for products of non-commutative objects in DOTs to be handled by `DotSimplify` (GitHub Issue #42). (0ebd271b) -* Fixed a bug in `FCProductSplit`. (347fab47) -* Fix for the accidental removal of the `PropagatorDenominatorExplicit` compatibility mode. (e235e369) -* Fixed wrong factoring option in `Solve3`. (15b624ac) -* Fixed a bug in `FCCanonicalizeDummyIndices` when it would erroneously rename free indices. (3fb80784) -* Fixed a bug when `FCLoopBasis` functions would not abort the evaluation when applied to expressions free of the loop momenta. (4163772a) -* Removed obsolete rules for Polarization that did not honor the `Transversality` option (thanks to ChiMaoShuPhy, GitHub Issue #41). (357cac41) -* Resolved possible issues with Cartesian quantities in `FourDivergence`. (fbac6b35) -* When a Cartesian scalar product of type p^2 is set to zero, the corresponding `CartesianMomentum` must be set to zero as well. (2e588be6) -* `Collect2` should abort if the input contains `SeriesData`. This usually happens when one forgets to apply `Normal` after a series expansion. (ac08a472) -* Fixed another small bug in `TID` for NR integrals. (81faa558) -* Fixed some bugs in the treatment of NR integrals. (b0804303) -* Fixed some bugs in the typesetting. (ca7a9743) -* Fixed a small bug in `DiracEquation`. (3d3c9921) -* Fixed a bug in `Spinor` with `HoldForm` in the momentum slot. (df57486c) -* Fixed some more bugs related to the reduction of integrals with temporal components. (3f9d6b7c) -* Fixed a bug in `FCApart`. (bff5237f) -* Fixed a bug in `FCApart` related to `SFADs` and `CFADs`. (6777a01e) -* Fixed another bug in `Write2` (thanks to F. Saturnino). (e312281d) -* Fixed another bug in `Write2` (thanks to F. Saturnino). (62d395fa) -* Fixed missing link to `FCCanonicalizeDummyIndices`. (e003b3fe) -* Fixed a bug in `Write2` (thanks to F. Saturnino). (23625442) -* Make `FCLoopBasisIntegralToPropagators` be less strict on integrals with linear combinations of scalar products in the numerators (thanks to H. BÉLUSCA - MAÏTO, GitHub Issue #38). (7cc253f8) -* Fixed some more bugs in the symmetrizer of `Tdec` (thanks to H. BÉLUSCA - MAÏTO, GitHub Issue #37) (25e17ce2) -* Fixed a small bug in `FCReplaceMomenta`. (95ff78d9) -* Fixed a bug in `Tdec` related to the missing symmetrizations for multiloop integrals (thanks to H. BÉLUSCA - MAÏTO, GitHub Issue #35). (6cbbffbe) -* Fixed some tests. (b3a0226a) -* Fixed a small bug in `FCLoopBasisIntegralToPropagatorsFCLoopBasisIntegralToPropagators`. (46ff60a2) -* Fixed a small bug in FDS related to the handling of `SFADs`. (14be10b9) -* Fixed a bug in `FCLoopBasisIntegralToTopology` related to a wrong extraction of propagator powers. (8014a58c) -* Fixed a bug in `FCCanonicalizeDummyIndices` that Lorentz indices were always canonicalized, even when this was turned off via the `Head` option. (808ca5b5) -* Fixed a bug in `FCApart`, where `f` was wrongly assumed to be nonzero. (405023b2) -* Fixed a bug in `FCCanonicalizeDummyIndices` in conjunction with Dirac traces. (676407b7) -* Fixed a bug in `FCLoopBasisFindCompletion` when the list of user-supplied propagators contains duplicate entries. (a6adb95a) -* Fixed a bug with wrong propagator powers reported by `FCLoopBasisExtract` for `SFAD`s and `CFAD`s. (3f2b6e3b) -* Fixed a performance regression in the typesetting of `FeynAmpDenominator` (`FCI` version). (4c5351ff) -* Fixed `FCFAConvert` to properly handle `FeynArts` models with an explicit `Eps` (thanks to Gang Li). (4496d289) -* `OneLoop`: Fix typos. (c272ef8e) -* Fixed some issues with `Mathematica` 9 and 8 (thanks to Gang Li). (6ee20946) -* Fixed inconsistent behavior of `FDS`. If a loop integral factorizes into a product of loop integtrals, `FDS` can often detect that and give the result in such a way, that a single `FAD` is rewritten as a product of `FAD`s. This behavior is controlled by the option `FeynAmpDenominatorCombine`. The default value is `False` (to be compatible with the old behavior). Setting this option to `True` activates the factorization. (8a7553f4) -* Small fix in `Solve3`. (c7a74d74) -* Fixed a small bug in `FCPrepareFAAmp`. (84ca61dc) -* Small fix in `FeynAmpDenominatorSimplify` to handle cases like `FAD[{p,m}]^2 - FAD[{p,m},{p,m}]` when no loop momentum is specified. (e9bae655) -* Small fix in `FUnitTools`. (2523f6fd) -* Small fix in the automatic installer. (54065442) -* Fixed several bugs in `FeynCalc2FORM`. (43b6352e) -* Do not call `SirlinSimplify` from `DiracSimplify` if the expression is not strictly 4-dimensional. (a2a18a42) -* `FCCanonicalizeDummyIndices`: Do not expand the expression if there is nothing to canonicalize. (d6feaa03) -* Disabled memoization in `TrickMandelstam` to prevent problems with `ScalarProduct[x,y]=z`. (82b4d8fc) -* Do not generate nrfail messages, if the expression contains only an `ExplicitLorentzIndex[0]`. (ae8c109f) -* Do not automatically project all `ExplicitLorentzIndex` objects to 4 dimensions. (edffee97) -* Disabled `SimplifyPolyLog` on expression that contain patterns. This often leads to wrong and/or unpredictable results. (aabe103f) -* Removed memoization in `PairContract`. Otherwise one gets issues with many other functions after changing definitions of the scalar product. (b70704d4) -* Fixed issues with `TID` when `Dimension` is not `D`. (0bd9c1ec) -* Some more fixes in `SimplifyPolyLog`. (b468ad64) -* Small fix in the `FeynArts` patcher (thanks to Will). (e0b620f3) -* Fixed a bug in `FCAbbreviate`. (0e58c3ae) -* Fixed the two loop QCD ghost example. (01fedaef) -* Fixed improper blocking of non-scalar 5-point functions in `NPointTo4Point`. (d88303fb) -* Fixed wrong sign in `NPointTo4Point` (thanks to Pablo Sanchez Puertas). (37d80c7f) -* Fixed handling of BMHV in `FCMultiLoopTID` and blocked input in wrong dimensions. (0a394469) -* Fixed a small bug in `DiracTrick`, where an internal variable entered the final result (thanks to Graczyk Krzysztof). (a29eebf0) -* Fixed a small bug in `TID` with some indices remaining uncontracted in the final output. (c50521df) -* Fixed a bug in `TID` related to the BMHV scheme. (d26489e8) -* Fixed missing `PartialD -> FCPartialD` replacements in PHI. (090eb50d) -* Fixed a bug in `ExpandScalarProduct` (thanks to Simone Biondini). (7d72b11e) -* Added another check against incorrect `Pair` expressions. (2de6c8c0) -* Fixed a bug in `FCLoopMixedToCartesianAndTemporal` when the input contains `FADs`. (7b863558) -* Fixed a bug in `SUNTF` related to the pattern matching. (0cb39274) -* Fixed a bug in `DiracReduce` when too complicated Dirac structures could not be reduced to `SPVAT`. (e2e3d2ed) -* Fixed `Chisholm` and `DiracReduce` failing on spinor chains. (28d942a7) -* Fixed another bug in `FCLoopBasisIntegralToPropagators`. (62130671) -* Fixed a bug in `FCGetNotebookDirectory`. (dd014f8d) -* Fixed a small bug in the `FeynRules` QCD model. (e92ae81f) -* Minor fixes in the bundled add-ons. (ddbe1247) -* Fixed some leakage of `FeynCalc` internal symbols into the `Global` context after loading `FeynCalc`. Furthermore, the file `.testing` in the `FeynCalc` directory now allows `FeynCalc` to decide whether the current version is a development or a stable version. (0e1fc2cd) -* Added a fix to `FCLoopSplit` to work around a bug in Factor in `Mathematica` 11.0.1 (c.f. ) (7efbbacc) -* Small fix in `TR`. (81b862dd) -* Fixed a bug in `SpinorChainTrick` related to the canonicalization of Lorentz indices in spinor chains. (7a79835c) -* Fixed a bug in `OneLoopSimplify` related to an excessive use of `Isolate` that leads to issues with noncommutative objects (thanks to Adrian). (60ef0c62) -* Small fix in `README.md` for the examples. (52d25d50) -* Fixed possible memoization issues in `SimplifyPolyLog`. (fa423bee) -* Fixed an issue with `FDS` when it is used with specifying loop momenta. (e7f5308d) -* Minor fixes in `FCCompareResults`. (95478e03) -* Fixed a small bug in `FCLoopIsolate`. (46a2de4a) -* Fixed a bug when `FCMultiLoopTID` would ignore tensor integrals that depend on a smaller number of loop momenta then given in the second argument of the function (thanks to P. Schicho). (9a0a9834) -* A tiny fix in `PaVeReduce`. (e6a76e46) -* Small improvements in `FAPatch` (better text output). (2e1a3b5b) -* Minor corrections in the `FeynRules` models. (eff81a4a) -* Fixed some false warnings in `PolarizationSum` when working with `D`-dimensional polarization vectors. (be849046) -* Fixed a small bug in `ComplexConjugate` (`SUNDeltaContract` not converted back into `SUNDelta`). (6d80a841) -* Small fix in `FCCheckSyntax`. (d93d0c08) -* Fixed a small bug in `DiracTrick` (`Eps` has no options anymore). (4753508e) -* Fixed an issue with user defined `$RankLimit` when generating `Tarcer.mx` (4a472353) -* Fixed a bug in `FCPrepareFAAmp` related to the convestion of the SU(N) Kronecker delta. (ebaa2504) -* Fixed a bug in the definition of `TFR` in `Tarcer` (thanks to P. Schicho). (4abdafda) -* Some minor corrections to `PaVeUVPart`. (fb4c8255) -* Several minor corrections in `DiracTrick`. (ba08afba) -* Fixed a small bug in `TarcerToFC` regarding nonstandard dimensions. (4222c8aa) -* Fixed a bug in the typesetting of `FAD`s. (c809f4a4) -* Fixed a bug in the typesetting of `TemporalPair`. (fc044986) -* Fixed a regression bug in `TarasovT` (thanks to Zhang). (33641020) -* Fixed a bug in `FCCanonicalizeDummyIndices` related to contractions of Lorentz and Cartesian indices in different dimensions. (df50e5ae) -* Fixed some issues in `DotSimplify` related to the new `FCJoinDots` option. (998d8081) -* Fixed a bug in `FCE` related to issues with `FAD`'s having nonstandard dimensions. (b59338a8) -* Fixed a bug in `DiracTrick` regarding the cyclicity simplifications of traces with chiral projections (thanks to Ula). (4b5ca9bd) -* Fixed a bug in `DiracTrick` regarding wrong anticommutation properties of combinations of chiral projectors (thanks to Ula). (3d446a33) -* Fixed a bug with premature memoization in `ToTFI` (thanks to Philipp Schicho) (88ea81c8) -* Fixed an infinite recursion bug in `PaVe` (thanks to Xiaonu Xiong). (c4c0c644) -* Fixed a bug where `DiracSimplify` was ignoring products of `D`-dimensional spinors (thanks to James McKay). (46710a7e) -* Fixed a minor bug in `EpsEvaluate` (thanks to Pablo Sanchez Puertas). (5f3031ee) -* Fixed a bug that `SP[p]=p2` was not setting the value of `SP[p,p]` likeweise for `CSP` and other dimensions. (233af78a) -* Fixed a bug with `DiracTrace` ignoring the change of `$LeviCivitaSign` (thanks to James G.). (e1553275) -* Fixed a small bug in `Uncontract`. (d6eb09eb) -* Fixed a small bug in the definition of `Eps`. (1797ce4f) -* Small fix in `SetMandelstam` for more than 4 momenta. (4abb8e06) -* Fixed a small bug in `MomentumCombine`. (2b64ab92) -* Fixed two example files to work with `FeynArts` using unitarity gauge. (e70fc629) -* Fixed a bug in `FCRenameDummyIndices` (thanks to Luigi Delle Rose). (4853e427) -* Fixed a bug in `ChangeDimension` related to `Eps` tensors. (1cf89752) -* Fixed a bug with missing `DiracSigmaExplicit` in DiracTrace (Issue #23, thanks to sbilmis). (341e27ea) -* Fixed a bug in `Contract` related to the BMHV scheme (thanks to H.Patel). (88739e50) -* Small fix for `PD` in `FCE` and `FCI`. (9811355c) -* Minor fixes in `MomentumExpand`, `FourDivergence`, `ToTFI`, `FCLoopBasis` and `NPointTo4Point`. (f136eaad) -* Minor fix in `FCPrepareFAAmp`. (e065592f) -* Fixed a bug in the new definition of `Pair`. (b9e787ad) -* Fixed a bug in `MomentumCombine`. (867bf9f3) -* Small fix in `Contract`. (b7e3bd13) -* Fixed a bug with `PropagatorDenominator[0,0]` (c6335b6e) -* Blocked some malformed `Pair` arguments. (6376f481) -* Fixed premature memoization in `ToPaVe` (thanks to Michael Park, ). (b78c3c4c) -* Improved `PaVe` to block functions that have wrong number of kinematic invariants. (a2f7280c) -* Improved typesetting of four vectors raised to powers. (6947b64d) -* Fixed `FCCanonicalizeDummyIndices` not canonicalizing some combinations of dummy indices. (381d019a) -* Fixed a bug in `OneLoop` when the number of propagators is too high (thanks to Jongping Hsu). (cf9da445) -* Fixed a small bug in the definition of scaleless `PaVe`s (2528ca9b) -* Fixed wrong definiton of `E0` in ToPaVe. (41ca39d5) -* Fixed a bug related to `$KeepLogDivergentScalelessIntegrals`. (0ea126eb) -* Fixed an infinite recursion bug in the symmetry of `D`-functions. (8aca4503) -* Fixed a bug in `FCReplaceD`. (2ad3c226) -* Fixed a bug in `DiracTrick` (related to issue #18). (468d9627) -* Fixed a bug in `DotSimplify` (related to issue #18). (a5670f24) -* Fixed an infinite recursion bug with `B0`. (59618b02) -* Blocked further wrong/inconsistent arguments for `GA`, `GAD`, `GAE`, `GS`, `GSD`, `GSE`, `DiracGamma`, `DiracMatrix` and `DiracSlash`. (7e95dc01) -* Fixed incorrect behavior of `DiracMatrix[mu,nu,...]`. (f988e5a7) -* Fixed another bug in `ApartFF` (thanks again to Zhang Shao Wu). (5b98e326) -* Fixed issue #19 (Documentation doesn't work until restart). Thanks to Szabolcs Horvát. (d399819e) -* Fixed a bug in `ApartFF` (thanks to Zhang Shao Wu). (6d77c2e1) -* Fixed a small bug in `OneLoop` related to terms free of loop integrals. (a484bc08) -* Fixed remaining issue with `FAD[{0,0}]` (c4a9b299) +* Fixed a small bug in `FCPrepareFAAmp`. (fade3168) +* Fixed inconsistent naming convention: `NDR-Discard` was called `NDR-Drop` in multiple places in the code (thanks to Hermès BÉLUSCA - MAÏTO) (0b95238a) +* Reintroduced the check against indentical Lorentz indices in `Tdec` (cf. Issue #52) (8d2a03b8) +* Additional fixes for `FCMultiLoopTID` (referring to Issue #52 and Issue #54) (790aab5d) +* Replace last occurrences of `ExpandProductExpand[]` by `ExpandScalarProduct[]`. (#53) (fb9fc9a5) +* Fixed a bug in `FCMultiLoopTID` when applied to integrals containing D-4- and 4-dimensional loop momenta (GitHub Issue #52) (3339f6c9) +* Fixed a bug in `ToSFAD` for massive propagators. (a3aab44f) +* Fixed a small bug in the treatment fractional powers in Cartesian scalar products. (e09fb5f0) +* Fixed a small bug in `FCApart` when applying the function to expressions with Pauli matrices. (4f7596cc) +* Fixed a typo in an example calculation. (7c37148c) +* Fixed a small bug in the typesetting of CFADs and SFADs. (b085585e) +* Fixed a bug in `FCFAConvert` related to the previously introduced automatic renaming of loop momenta. (c56f74e5) +* Fixed an issue with the installer in Mma 12.1 (ddf5530f) +* Fixed a serious bug in `EpsChisholm`: in some cases the relative signs might be incorrect in the final and intermediate expressions. (1c34cf4a) +* Fixed a bug in `FCI` where the I eta sign of `GFAD`s gets messed up. (d7f511f8) +* Fixed a bug with temporal indices in GluonVertex. (6a68e03b) +* Fixed a bug in `FCMultiLoopTID` where some Cartesian tensors may not be reducible in the BMHV scheme. (8e5ad4a1) +* Fixed a bug in `FCApart` where custom tensors in the input would make the function fail. (71ad3864) +* Fixed typos in the debugging output. (a93b073a) +* Fixed a bug in the Phi Phi-> Phi Phi example (thanks to Huan Souza). (eb6177af) +* Fixed a typo. (5bdcb9f1) +* Fixed a bug in `FCReplaceD` where applying the function to `DiracChain`s lead to incorrect output. (f5b99118) +* Corrected the description of DiracOrder. (4c8303ae) +* Fixed a bug in `ToStandardMatrixElement` where `GA[6]+GA[7]` was not splitted into two terms. (34921966) +* Fixed a bug in `FCPrepareFAAmp` related to 4-fermion operators with multiple Dirac matrices in the vertex. (3ea2144c) +* Fixed a bug in `FeynRule` that created incorrect output with SUN indices. (dba1b6f1) +* Fixed a bug in `ChangeDimension` that introduced too strict constraints on the choice of the dimension (thanks to D. Azevedo). (78f972d3) +* Fix the previous commit for .gitignore. (a96b2f7e) + diff --git a/FeynCalc/ChangelogOld.md b/FeynCalc/ChangelogOld.md index 8b42ea535..ad740b90a 100644 --- a/FeynCalc/ChangelogOld.md +++ b/FeynCalc/ChangelogOld.md @@ -1,3 +1,1285 @@ +# Version 9.3.0 (January 2020) + +## Important changes + +* Introduced a new modern way to switch between Dirac gamma schemed in dim reg: `FCSetDiracGammaScheme` and `FCGetDiracGammaScheme`. (f5a06363) (1c7a5246) + + * Example: Show the current g^5 scheme + + FCGetDiracGammaScheme[] + + * Example: Show available g^5 schemes + + ?FCSetDiracGammaScheme[] + + * Example: Switch to the BMHV scheme + + FCSetDiracGammaScheme["BMHV"] + + * Example: Switch to the NDR scheme + + FCSetDiracGammaScheme["NDR"] + +* Added a new scheme for handling g^5: `"NDR-Discard"`. It is like `"NDR"` but all the remaining traces with one g^5 (that NDR can't evaluate) are set to zero. It is meant to be applied in calculations where we know in advance that g^5 does not pose any issues. (031368f5) + +* Modified `ComplexConjugate` to automatically apply `FCRenameDummyIndices`. This can be turned off using the option named the same way. (d7708286) + +* The default behavior of `DiracSimplify` was changed to automatically evaluate Dirac traces. Now there is no need to use the replacement `DiracTrace->Tr` (b74b4c20) + + * Example: Evaluate a Dirac trace using `DiracSimplify` + + DiracTrace[GA[a,b,c,d]] // DiracSimplify + +* Vectors in the `FeynCalcExternal` representation that contain a minus sign will have it factored out automatically, so that e.g. `FV[-p,mu]` will become `-FV[p,mu]`. (249d8b22) + +* Changed the handling of the output format type to address the issue #30 (9f409e1f). In particular, `FeynCalc` will now change only the output format of the current front end session, not the global `Mathematica` option as before. This behavior is controlled by the new global option `$FCTraditionalFormOutput`. The default value is `False`. One can load `FeynCalc` with the `TraditionalForm` typesetting via + + $FCTraditionalFormOutput = True; + << FeynCalc` + + Or one can also write `$FCTraditionalFormOutput = True` to `FCConfig.m` so that this value will be set each time `FeynCalc` is loaded. Finally two new functions `FCDisableTraditionalFormOutput[]` and `FCEnableTraditionalFormOutput[]` allow to switch between `StandardForm` and `TraditionalForm` on the fly + + * Example: Switch between different output formats in a `FeynCalc` session + + < "FCMetricTensor", "Factor1" -> "FCFactor1", "Factor2" -> "FCFactor2"}; + << FeynCalc` + + FCDisableTraditionalFormOutput[] + (* Output format changed to StandardForm for the current session *) + + +* Moved the loader of `TARCER` into a separate file. So we can (and should) load `TARCER` via `$LoadAddOns={"TARCER"}`. The old `$LoadTARCER` is now deprecated. Reason: More consistency when loading additional packages that interact with `FeynCalc` (851efb72) + + * Example: Load `FeynCalc` and `TARCER` + + $LoadAddOns={"TARCER"} + <2`. (45496b34) +* Removed `$SpinorChainMinimal` and `ChisholmSpinor`. (153c344d) +* Removed the option `Dimension` in `Eps`. Reason: `Eps` is an `FCI` object so that the dimension of the indices or momenta is always unambiguous (a82bb76e) +* Removed `MomentumCombine2`. Reason: it only duplicated `MomentumCombine`. (4233f90e) +* Removed `Upper`, `Lower`, `Contract1`, `$Covariant` and `$LorentzIndices`. Reason: With the introduction of Cartesian tensors in `FeynCalc` 9.3, there is no more ambiguity regarding the positions of the indices. Moreover, `Upper` and `Lower` never were fully integrated into `FeynCalc`. (76a6ae59) (9a3ba199) +* Removed `CrossProduct`, `DotProduct` and `ThreeVector`. Reason: Now that we have native support for symbolic Cartesian vectors, they are not needed anymore. (4c7ff29a) +* Removed the typesetting option `$PairBrackets`. Reason: The option is obsolete. Once a scalar product is multiplied by something else, it will automatically have brackets around it, so that setting `$PairBrackets=True` is never needed. (7d3e6eef) +* Removed `DiracSimplify2`. Reason: All settings related to gamma_5 should be handled by setting a suitable scheme. Otherwise, inconsistencies are unavoidable. (80f64f83) +* Removed `UVPart`. Reason: In the current form it is useless and wrong (thanks to M. Beneke for the suggestion). It was replaced by `PaVeUVPart` (cebaf7a5) +* Eliminated `TemporalIndex[]`. Reason: There is really no point to reinvent the wheel and use this peculiar object instead of just `LorentzIndex[0]`. No harm done, since the name `TemporalIndex` never maid it into a stable version (3be9fee8) +* Removed the option `DenominatorOrder` option from `OneLoop`. Reason: ongoing progress in the attempts to refactor `OneLoop` (26641c4c) +* Removed the option `ChangeDimension` from `TID`. Reason: Automatic or implicit changes of the dimension are dangerous and may easily to unwanted side effects or even inconsistent results. It is better to avoid that completely. (6fbd3f22) +* Removed `FCMonitor` and `FCMonitorStub`. Reason: They are not used in `TID` anymore. (8e4b3ffa) +* Removed `MakeFeynCalcPrivateContext` and `$IndexPrefix`. Reason: Some very old routines that were largely obsolete already in the version 9. (c7510662) +* Removed the legacy syntax of `DiracTrick`, where one could enter Dirac matrices without `DOT`s. (69957a9f) +* Removed the unfinished experimental function `SquareAmplitude2`. Reason: It never became sufficiently stable and ready to be used and hence was also never mentioned in the documentation. (ee1149f7) + +--- + +* Renamed the option `DiracSimpCombine` of `DiracSimplify` to `DiracGammaCombine`. (6da10564) +* Renamed the `DiracCanonical` option of `DiracSimplify` to `DiracOrder`. (7fc6846e) +* Renamed the option `SpinPolarizationSum` of `FermionSpinSum` to `Head`. (c56581f6) +* Renamed `MemoryAvailable` and `$MemoryAvailable` to `FCMemoryAvailable` and `$FCMemoryAvailable`. Reason: `MemoryAvailable` is a system variable since `Mathematica` 11.0. (3c18c338) +* Renamed `PropagatorDenominatorExplicit` to `FeynAmpDenominatorExplicit`. Reason: more consistent naming scheme. This way it fits to other functions that start with `FeynAmpDenominator`. Of course, `PropagatorDenominatorExplicit` still works in order not to break the existing codes. (8bfefcda) +* Renamed `SquareAmplitude` to `SquareAmplitude2`. Reason: `SquareAmplitude2` is an experimental function that never became sufficiently stable. The name `SquareAmplitude` will be used for a different function. (23667615) +* Removed a call to `ChangeDimension` from `Explicit`. Reason: The `Dimension` option should already handle this, so that we don't need to call another function. (d1dd1def) +* Renamed the `PDEHead` option in `FeynAmpDenominatorExplicit` to `Head`. (51fc4da4) + +* Modified the syntax of `FCLoopBasisExtract` so that the dimensions are now given via the `SetDimensions` option. Reason: This unifies the behavior among the other `FCLoopBasis*` functions. Furthermore, the new `FCTopology` option allows to include loop momenta that are not actually present in the input expression. This is useful when working with integral topologies. (8ab84fdd) + +## New functions and symbols + + +### Noncommutative algebra + +* Added new function `FCMatrixIsolate` that combines the application of `FCDiracIsolate`, `FCColorIsolate` and `FCPauliIsolate`. This is very useful for amplitude manipulations that affect the matrix structure of the expression, i.e. for taking the complex conjugate. (20030293) + +* Added new function `DiracSigmaExpand` that handles expansions of `DiracSigma`s. (2ed72ef9) + + * Example: Expand a suitable `DiracSigma` + + DiracSigma[GSD[p]+GSD[q],GSD[r]]//DiracSigmaExpand + +* Outsourced `DiracSubstitute67` out of `DiracSimplify`. Now it is a proper function for replacing chirality projectors with their definitions. (9efa4451) + + * Example: Substitute chirality projectors with their explicit definitions + + SpinorUBar[p1].GA[6].SpinorU[p2] // DiracSubstitute67 + + SpinorUBar[p1].GA[7].SpinorU[p2] // DiracSubstitute67 + +* Added `DiracSubstitute5`. It is a small auxiliary function that replaces `GA[5]` with `GA[6]-GA[7]`. This can be useful, e.g. if the spinor chains should be written in a particular way, always involving chiral projectors. (7b234636) + + * Example: Rewrite a spinor chain with g^5 in terms of chirality projectors + + SpinorUBar[p1].GA[5].SpinorU[p2] // DiracSubstitute5 + +* Introduced `ToDiracGamma67`, which is an inverse of `DiracSubstitute67`. By default, only terms that can be directly converted to a chirality projector are taken into account. If the options `All` is set to `True`, every occurrence of g^5 will be converted to chirality projectors (ce5c3f8f) + + * Example: Introduce chirality projectors in suitable Dirac matrix chains + + ToDiracGamma67[GA[mu].(1/2 + GA[5]/2).GA[nu]] + + ToDiracGamma67[GA[mu, 5, nu], All -> True] + + +* Added `SirlinSimplify`, a dedicated function for applying Sirlin's relations to Dirac spinor chains. Previously these relations were encoded in the code of `DiracSimplify` but now they can be applied using a separate function (9f74883b) + + * Example: Apply Sirlin's relations to a suitable spinor chain + + SirlinSimplify[SpinorUBar[p3, m3].GA[mu, rho, nu, 7].SpinorU[p1, m1] SpinorUBar[p4, m4]. + GA[mu, tau, nu, 7].SpinorU[p2, m2]] + +* Added `SpinorChainTrick`, an analogon of `DiracTrick` for products of spinor chains. This is an auxiliary function that will be called by higher level functions that deal with the Dirac algebra. (f0ead943) + + * Example: Combine two spinor chains by canonicalizing the Lorentz indices + + SpinorChainTrick[a SpinorUBar[p1, m1].GA[mu].SpinorU[p2, m2] SpinorVBar[p1, m1]. + GA[mu].SpinorV[p4, m4] + b SpinorUBar[p1, m1].GA[nu].SpinorU[p2, m2] SpinorVBar[p1, m1].GA[nu]. + SpinorV[p4, m4]] + + +* Added `SpinorChainChiralSplit`, a function that introduces chiral projectors in spinor chains that contain no gamma^5 or chiral projectors. Could be useful for working with chiral theories. (7cc4169f) + + * Example: Rewrite a spinor chain free of g^5 in terms of chains with chirality projectors + + SpinorChainChiralSplit[SpinorUBar[p1, m1].GSD[p].SpinorV[p2, m2]] + +* Added new function `SpinorChainTranspose`. It transposes the closed spinor chains in the expression, thus effectively switching `u` and `v` spinors. The `Select` option can be used for a flexible choice of chains that should be transposed. (7b832a61) + + * Example: Transpose some spinor chains + + SpinorChainTranspose[SpinorVBarD[p1, m1].GAD[mu].(GSD[p] + m).GAD[mu].SpinorUD[p2, m2]] + + SpinorChainTranspose[SpinorUBarD[p1, m1].GAD[mu].(GSD[p] + m).GAD[mu].SpinorVD[p2, m2]] + + SpinorChainTranspose[SpinorUBarD[p1, m1].GAD[mu].(GSD[p] + m).GAD[mu].SpinorVD[p2, m2], Select -> {{SpinorUBarD[_, _], SpinorVD[_, _]}}] + + +* Added new function `FCChargeConjugateTransposed` (a shortcut is just `FCCCT`). Given an expression in the Dirac space x, it obtains C x^T C^(-1), where C is the charge conjugation matrix. This is handy when dealing with Majorana spinors. (16e51495) + + * Example: Apply charge conjugation to some Dirac matrix chains + + FCChargeConjugateTransposed[GA[mu, nu, rho], Explicit -> True] + + FCChargeConjugateTransposed[GA[5], Explicit -> True] + +* Added `UnDeclareCommutator` and `UnDeclareAntiCommutator` that can remove the previously set values of commutators and anticommutators. (eccb96ca) + + * Example: Specify that `A`-fields commute with each other and remove this property later on + + Commutator[QuantumField[FCPartialD[LorentzIndex[xxx_]], A], QuantumField[A]] = 0; + DotSimplify[ExpandPartialD[QuantumField[A].QuantumField[A].LeftPartialD[nu]]] + + UnDeclareCommutator[QuantumField[FCPartialD[LorentzIndex[xxx_]], A], QuantumField[A]]; + DotSimplify[ExpandPartialD[QuantumField[A].QuantumField[A].LeftPartialD[nu]]] + +* Introduced initial support for Dirac matrix chains with explicit Dirac indices (via `DiracChain`). This particularly useful when importing amplitudes from `QGRAF` (fd49dd63) (4468a00e) (a6b577d9) (5799b97b) + + * Example: Some expressions with open Dirac indices that are now possible + + (* A Kronecker delta in the Dirac space*) + DIDelta[i, j] + + (* A standalone Dirac matrix with open Dirac indices *) + DCHN[GAD[mu], i, j] + + (* A chain of Dirac matrices with open Dirac indices *) + DCHN[GAD[mu].GAD[nu], i, j] + + (* A single UBar spinor with an open Dirac index *) + DCHN[SpinorUBar[p, m], i] + + (* A single VBar spinor with an open Dirac index *) + DCHN[SpinorVBar[p, m], i] + + (* A single U spinor with an open Dirac index *) + DCHN[i, SpinorU[p, m]] + + (* A single V spinor with an open Dirac index *) + DCHN[i, SpinorV[p, m]] + + (* UBar spinor contracted with a chain of Dirac matrices *) + DCHN[GAD[mu].GAD[nu], SpinorUBar[p, m], j] + + (* VBar spinor contracted with a chain of Dirac matrices *) + DCHN[GAD[mu].GAD[nu], SpinorVBar[p, m], j] + + (* U spinor contracted with a chain of Dirac matrices *) + DCHN[GAD[mu].GAD[nu], i, SpinorU[p, m]] + + (* V spinor contracted with a chain of Dirac matrices *) + DCHN[GAD[mu].GAD[nu], i, SpinorV[p, m]] + +* Introduced `DiracChainJoin` to handle contractions of the Dirac indices (4d3649a6) (18ac295d) (0575c06f) + + * Example: Contract the Dirac indices to obtain a closed spin chain + + DCHN[SpinorUBar[p1, m1], i] DCHN[GAD[mu].GAD[nu], i, j] DCHN[j, SpinorV[p2, m2]] // + DiracChainJoin + +* Added DiracChainExpand, a function to expand Dirac chains with explicit indices using linearity. (4e938efe) + +* Added DiracChainFactor, an auxiliary function to factor out commutative objects out of DiracChains. (97b47b24) + +* Added new function DiracChainCombine, which is an inverse operation to DiracChainExpand. (90431dfc) + +* Added `PauliSigmaExpand` and `PauliSigmaCombine` which are essentially analogons of `DiracGammaExpand` and `DiracSigmaCombine` for Pauli matrices. (a99b9882) + + * Example: Perform some expansions of Pauli matrices or undo them + + PauliSigmaExpand[SIS[q].SIS[p - q]] + + PauliSigmaExpand[SIS[a + b].SIS[c + d], Momentum -> {a}] + + PauliSigmaExpand[CSIS[a + b].CSIS[c + d], Momentum -> All] + + PauliSigmaCombine[SIS[p] + SIS[q]] +* Added `FCPauliIsolate`. It is like `FCDiracIsolate`, but for Pauli matrices. (20a1af91) + + * Example: Isolate Pauli matrices and spinors in the expression + + FCPauliIsolate[c1 SI[i] + c2 PauliXi[-I].SIS[p].PauliEta[I]] + +* Added new function `PauliOrder`. It is like `DiracOrder` but for Pauli matrices. (2759035e) + + * Example: Change the order of Pauli matrices using their commutation/anticommutation properties + + PauliOrder[CSI[i, j], {j, i}] + +* Added `PauliTrick` to have initial support for simplifying chains of Pauli matrices. As far as `D-1` dimensional Pauli matrices are concerned one can use `FCSetPauliSigmaScheme` to specify whether the 3D anticommutator relation should be used in D-1 dimensions. (498504f0) + + * Example: Simplify some chains of Pauli matrices + + CSIS[p1].CSI[i].CSIS[p2] // PauliTrick // Contract + + CSID[i, j, i] // PauliTrick // Contract + +* Added new option `PauliReduce` to `PauliTrick`. It specifies whether a chain of Pauli matrices should be reduced to at most one matrix by rewriting every pair of matrices in terms of commutator and anticommutator. When set to False, `PauliTrick` will try to use anticommutation relations to simplify Pauli chains. (e2299af2) + + * Example: Simplify a chain of Pauli matrices without the full reduction + + CSIS[p].CSI[j].CSIS[p].CSIS[i] // PauliTrick[#, PauliReduce -> False] & + +* Added `PauliSimplify`, an analogon of `DiracSimplify` but for Pauli matrices. (c8039c5c) + +### Loop integrals + +* Added `FCTopology`. Although currently it is just a placeholder for topologies, it is enormously useful in real calculations. (7239fd6f) + +* Introduced new propagator heads to support many new types of integral previously not available in `FeynCalc`. Covariant integrals that appear in such EFTs as HQET, NRQCD or SCET can be entered using the new `SFAD` (Standard FeynAmp denominator) head. The Cartesian analogon of `SFAD` is called `CFAD` (Cartesian FeynAmp denominator). Nonstandard integrals that cannot be represented via `SFAD` or `CFAD` can be introduced using `GFAD` (Generic FeynAmp denominator). +The support for the manipulation of the new integral is still somewhat experimental but will be improved in the future versions of the package + + + * Example: New propagators now available in `FeynCalc` + + (* The standard covariant propagator, corresponds to FAD[{p,m}]*) + SFAD[{{p, 0}, m^2}] + + (* The standard covariant propagator with the opposite I eta prescription*) + SFAD[{{p, 0}, {m^2, -1}}] + + (* Covariant Euclidean propagator in 4D *) + SFAD[{{p, 0}, {-m^2, -1}}] + + (* Massive covariant eikonal propagator *) + SFAD[{{0, p.q}, m^2}] + + (* Massless covariant eikonal propagator *) + SFAD[{{0, p.q}, m^2}] + + (* The standard Cartesian propagator *) + CFAD[{{p, 0}, m^2}] + + (* The standard Cartesian propagator with the opposite I eta prescription*) + CFAD[{{p, 0}, {m^2, 1}}] + + (* Cartesian propagator with a different mass term sign *) + CFAD[{{p, 0}, -m^2}] + + (* Massive Cartesian eikonal propagator *) + CFAD[{{0, p.q}, m^2}] + + (* Massless Cartesian eikonal propagator *) + CFAD[{{0, p.q}}] + + (* A special nonlinear propagator*) + GFAD[SPD[p1, q] SPD[p2, q] + x SPD[p1, p2]] + + +* Added some new placeholders: `Zeta4`, `Zeta6`, `Zeta8`, `Zeta10` and `Li4`. Those are mainly to be used in conjunction with `SimplifyPolyLog`. The `Conjugate` of a `ZetaX` is the object itself (44cdfef7) (966c8004) (d25f1125) (13ceb2a9) + + * Example: Simplify an expression using `SimplifyPolyLog` + + c1 Pi^4 + c2 Pi^6 + c4 Pi^8 + c5 Pi^10 // SimplifyPolyLog + + +* Added `FCGramMatrix` and `FCGramDeterminant` that compute the Gramian out of the given list of momenta. (d3009020) + + + * Example: Compute the Gramian for the 4-momenta `p1`, `p2` and `p3` + + FCGramMatrix[{p1, p2, p3}] + + * Example: Compute the Gramian for the 3-momenta `p1`, `p2` and `p3`. This is needed when doing tensor reduction of Cartesian integrals + + FCGramMatrix[{p1, p2, p3}, Head -> {CartesianPair, CartesianMomentum}, Dimension -> D - 1] + +* Extracted `N`-point to 4-point reduction from `OneLoop` and moved it to a separate function `NPointTo4Point`. (fd8949d3) + + * Example: Rewrite a massless scalar pentagon in terms of boxes + + FCClearScalarProducts[]; + NPointTo4Point[ FCI@FAD[{q, m0}, {q + p1, 0}, {q + p2, 0}, {q + p3, 0}, {q + p4, 0}], q, FCE -> True, FCVerbose -> -1] + + +* Added `PaVeUVPart`. This function returns UV divergent parts of arbitrary Passarino-Veltman functions. The algorithm is courtesy of G. Sulyok, cf. Phys. Part. Nuclei Lett. (2017) 14:631, arXiv:hep-ph/0609282. (03d50607) + + * Example: Obtain the UV-pole of the massive `B1111` Passarino-Veltman coefficient function + + FCClearScalarProducts[]; + PaVeUVPart[PaVe[1, 1, 1, 1, {SPD[p1, p1]}, {m0^2, m1^2}]] + +* Added `FCLoopBasisGetSize`, a tiny convenience function that returns the number of linearly independent propagators for a topology with the given number of loop of external momenta. (33ce898a) + + * Example: Get the number of linearly independent propagators (size of the topology) for a topology with 4 loop momenta and one external momentum + + FCLoopBasisGetSize[4, 1] + +* Added `FCLoopBasisSplit` an auxiliary function for identifying multi-loop integrals that factorize. (9e22d22a) + + * Example: Separate some factorizable multiloop integrals into separate pieces + + FCLoopBasisSplit[FCI@FAD[{q1, m}, {q2 - q3, m}], {q1, q2}, Head -> loopInt] + + FCLoopBasisSplit[ FCI@FAD[{q1, m}, {q2, m}, {q3 - q4, 0}, {q3 - p, m}, {q5}], {q1, q2, q3, q4, q5}, Head -> loopInt] + +* Added `FCLoopBasisIntegralToPropagators`, a handy auxiliary function that converts the given loop integral into a list of the corresponding propagators and scalar products. The powers of propagators can be counted if the options `Tally` is set to `True`. (2db802f3) + + * Example: Convert the given integrals to a list of propagators as required e.g. for topology identification or IBP reduction + + FCLoopBasisIntegralToPropagators[SPD[p, q]^2 FCI[SPD[p, q]] SFAD[q, p - q], {q}, Tally -> True, Negative -> True, Pair -> True] + + FCLoopBasisIntegralToPropagators[GFAD[{p1.q p2.q + x, 2}] SFAD[p1], {p1, p2}, Tally -> True] + +* Added new auxiliary function `FCLoopBasisPropagatorsToTopology` to facilitate the extraction of the topologies from the expressions with loop integrals. (9b3cd7e1) + + * Example: Convert the given list of propagators to a list `Pair`'s + + FCLoopBasisPropagatorsToTopology[{SFAD[{q, m}], SPD[q, p]}] + + +* Added `ToSFAD`, a function that converts `FAD`s and `PropagatorDenominator`s to `SFAD`s and `StandardPropagatorDenominator`s. (f300d7f6) + + * Example: Convert some integrals in the `FAD`-notation to the `SFAD`-notation + + ToSFAD[FAD[p]] + + ToSFAD[x + FAD[{p, m}, q] FAD[{p, m1}, q, {r - q, m2, 2}]] + +* Added `CTdec`, a Cartesian version of `Tdec`. (d77968e0) + + * Example: Calculate some tensor reductions for Cartesian integrals + + CTdec[{{l, i1}, {l, i2}}, {p1}] + + CTdec[{{l1, i1}, {l2, i2}}, {p1, p2}, List -> False] + +* Added `FCLoopMixedToCartesianAndTemporal`. The purpose of this function is to rewrite (when possible) integrals with both Lorentz and Cartesian or temporal indices to integrals that are free of Lorentz indices (448de342) + + * Example: Rewrite some integrals + + FCLoopMixedToCartesianAndTemporal[FCI@SFAD[{{q, q.p}, m^2}], {q}] + + FCLoopMixedToCartesianAndTemporal[ FCI[TC[k] FVD[k, mu] FAD[k, k + p]], {k}] + +* Added `FCLoopPropagatorPowersCombine`, `FCLoopPropagatorPowersExpand`, `FCLoopRemoveNegativePropagatorPowers` and `FCLoopNonIntegerPropagatorsFreeQ` to manage the propagator powers of `CFADs`, `SFADs` and `GFADs`. These functions were mainly introduced to manage various new propagators inside `FeynCalc`. They are probably not very useful for the normal users but can be handy when writing codes on top of `FeynCalc` (ff57f617) + + * Example: Combine identical propagators of a loop integral raised to different powers into one propagator + + FCLoopPropagatorPowersCombine[ SFAD[{{q, 0}, {m, 1}, 3}, {{q, 0}, {m, 1}, 4}]] + + + * Example: Rewrite propagators raised to an integer power as a list inside `FeynAmpDenominator` (relevant only for the `FCI` representation) + + FCLoopPropagatorPowersExpand[FCI[SFAD[{q, m, 2}, q + p]]] + + + * Example: Rewrite propagators raised to negative integer powers as scalar products + + FCLoopRemoveNegativePropagatorPowers[SFAD[{q, m}, q + p, {q, m, -2}]] + + * Example: Check if the given integral is free of propagator raised to noninteger (e.g. fractional or symbolic) powers + + FCLoopNonIntegerPropagatorPowersFreeQ[FCI@CFAD[{q + p, mm, 2}]] + (* True *) + + FCLoopNonIntegerPropagatorPowersFreeQ[FCI@CFAD[{q + p, mm, n}]] + (* False *) + + FCLoopNonIntegerPropagatorPowersFreeQ[FCI@CFAD[{q + p, mm, 0.5}]] + (* False *) + +* Added new function `FCLoopSamePropagatorHeadsQ` to detect integrals that simultaneously contain both purely Cartesian and purely Lorentzian propagators. Currently, those cannot be properly handled in `FeynCalc` (bc9a42f2) + + * Example: Check if the given integral is free of propagators with different `Head`s + + FCLoopSamePropagatorHeadsQ[FCI[SFAD[q,q-p]]] + (* True *) + + FCLoopSamePropagatorHeadsQ[FeynAmpDenominatorCombine[CFAD[q, q - p] SFAD[l, l + k]]] + (* False *) + + FCLoopSamePropagatorHeadsQ[FeynAmpDenominatorCombine[FAD[q, q - p] SFAD[l, l + k]]] + (* False *) + + +* Added new function `FCLoopMixedIntegralQ` to detect mixed Lorentz-Cartesian integrals. (3c6863cc) + + * Example: Check if the given integral is a mixed one + + FCLoopMixedIntegralQ[FCI[FVD[p, mu] SFAD[q, q - p]]] + (* False *) + + FCLoopMixedIntegralQ[FeynAmpDenominatorCombine[GFAD[TC[q] + EN] SFAD[q]]] + (* True *) + + +* Added new function `FCLoopEikonalPropagatorFreeQ` to detect eikonal propagators. (9f31f2fb) + + * Example: Check if the given integral is free of eikonal propagators + + FCLoopEikonalPropagatorFreeQ[FCI@SFAD[p, p - q]] + (* True *) + + FCLoopEikonalPropagatorFreeQ[FCI@CFAD[{{0, p.q}}]] + (* False *) + + +* Added `FCLoopBasisCreateScalarProducts`, an auxiliary function that creates a list of all loop-momentum dependent scalar products from the given lists of loop and external momenta. (8778efb7) + + * Example: Generate all `D`-dimensional scalar products for 2-loop 3-point function + + FCLoopBasisCreateScalarProducts[{l1, l2}, {p1, p2, p3}, {D}, Pair] + (* True *) + +* Added `$FCShowIEta` to control whether the `I Eta` should be explicitly shown in the `TraditionalForm` typesetting or not. If it is clear that all propagators have `+ I Eta`, it is more useful to set `$FCShowIEta=False`. (300bfb08) + + +### Kinematics and amplitudes + +* Introduced `FCRerouteMomenta`, a handy function that can automatically change the routing of the external momenta to make the amplitudes look simpler. It uses the supplied 4-momentum conservation and tries to minimize the number of momenta in propagators, 4-vectors, scalar products, Dirac slashes etc. (bcabba99) (26814232) + + * Example: Rewrite the amplitude in a more compact way using the momentum conservation relation `l1+l2=p1+p2+kp` + + amp = (-I)*Spinor[-Momentum[l2], ME, 1].GA[Lor3].Spinor[Momentum[l1], ME, 1]*Spinor[Momentum[p1], SMP["m_Q"], 1] . + GS[Polarization[kp, -I, Transversality -> True]].(GS[kp + p1] + SMP["m_Q"]) . GA[Lor3] . Spinor[-Momentum[p2], SMP["m_Q"], 1]* + FAD[kp + p1 + p2, Dimension -> 4]*FAD[{-l1 - l2 - p2, SMP["m_Q"]}, Dimension -> 4]*SDF[cq, cqbar]*SMP["e"]^3*SMP["Q_u"]^2 + + FCRerouteMomenta[amp, {l1, l2}, {p1, p2, kp}] + + +* Added new function `FCPermuteMomentaRules`, a convenience function for generating replacement rules for all possible permutations (renamings) of the given set of momenta. (9ff9423e) + + * Example: Give a set of rules for all possible permutations of the momenta `p1`, `p2` and `p3` + + FCPermuteMomentaRules[{p1, p2, p3}] + +* Added `FCReplaceMomenta`, a convenience function for replacing 4-momenta and 3-momenta in the given expressions. (3c5c8ae3) (d00dc59f) (28123ca9) + + * Example: Apply the substitutions `p1 -> P + 1/2 q` and `p2 -> P - 1/2 q` to the given amplitude + + amp = (-I)*Spinor[-Momentum[l2], ME, 1].GA[Lor3].Spinor[Momentum[l1], ME, 1]*Spinor[Momentum[p1], SMP["m_Q"], 1] . + GS[Polarization[kp, -I, Transversality -> True]].(GS[kp + p1] + SMP["m_Q"]) . GA[Lor3] . Spinor[-Momentum[p2], SMP["m_Q"], 1]* + FAD[kp + p1 + p2, Dimension -> 4]*FAD[{-l1 - l2 - p2, SMP["m_Q"]}, Dimension -> 4]*SDF[cq, cqbar]*SMP["e"]^3*SMP["Q_u"]^2 + + FCReplaceMomenta[amp, {p1 -> P + 1/2 q, p2 -> P - 1/2 q}] + + + * Notice that `FCReplaceMomenta` is not suitable for expanding in 4-momenta (soft limits etc.) as it does not check for cases where a particular substitution yields a singularity. For example, the following code obviously returns a nonsensical result + + FCClearScalarProducts[]; + SPD[q] = 0; + FCReplaceMomenta[FAD[q + p], {p -> 0}] + + +* Added new `DataType` `FCVariable` so that symbols marked as `FCVariable` will be pulled out from `Momentum`, `CartesianMomentum` and `TemporalMomentum`. (d0754e8b) (955fb6f2) + + * Example: For `SPD[c1 p1 + c2 p2, q]` with `c1` and `c2` being some constants (not 4-momenta), `ExpandScalarProduct` does not work properly + + SPD[c1 p1 + c2 p2, q] // ExpandScalarProduct + + Prior to `FeynCalc` 9.3 the only solution was to write the expression explicitly using the FCI notation + + Pair[c1 Momentum[ p1, D] + c2 Momentum[ p2, D], Momentum[q, D]] // ExpandScalarProduct + + Now we can explicitly declare `c1` and `c2` to be of the type `FCVariable` so that everything works as expected + + DataType[c1, FCVariable] = True; + DataType[c2, FCVariable] = True; + SPD[c1 p1 + c2 p2, q] // ExpandScalarProduct + + Notice that this also works for propagators, e.g. in `FAD[{q + c1 p1, m}]` as well as Dirac and Pauli matrices. Use `DataType[c1, FCVariable] = False` etc. to undo the declaration for a particular variable. + +* Added `ToStandardMatrixElement`. This function wraps spinor chains, color strutctures and polarization vectors into head `StandardMatrixElement`. This functionality was previously available only via `OneLoop`. The idea of having standard matrix elements is described in Denner's famous paper in Fortschritte der Physik, Vol. 41, Nummer 4, 1991, Section 5. (d456057a) (15238e61) (f70658ae) + + * Example: Decompose the given product of spinor chains into pieces with different chiral projectors + + + exp = Spinor[Momentum[k2, D], 0, 1].GAD[mu].Spinor[-Momentum[k1, D], 0, 1] * + Spinor[-Momentum[ps, D], SMP["m_s"], 1].GAD[mu].Spinor[Momentum[pd, D], SMP["m_d"], 1] + + ToStandardMatrixElement[exp] + +* Added `SquareAmplitude`, a simple function that multiplies amplitudes with their complex conjugates and returns the result without doing any evaluations. This function is particularly useful when some amplitudes evaluated with `FeynCalc` should be passed to `FORM` for calculating the amplitude squared (8165ef48) + + * Example: Construct the squared matrix element for a sum of three amplitudes `M1`, `M2` and `M3` + + + exp = SquareAmplitude[{M1, M2, M3}, {M1cc, M2cc, M3cc}] + + Total[exp] + + If the sum of the amplitudes corresponds to real corrections, i.e. the amplitudes are purely real, we can obtain a shorter expression + + SquareAmplitude[{M1, M2, M3}, {M1cc, M2cc, M3cc}, Real->True,List->False] + +### Tensors and vectors + +* Added new function FreeIndexFreeQ for checking whether the expression contains free (i.e. uncontracted) indices. (0e75d46c) + +* Added new objects for non-relativistic calculations. (a82bb76e) + + * Example: Following new tensor objects are now available + + + (* Temporal component of the 4-vector p^mu *) + TC[p] + + (* Cartesian 3-vectors *) + {CV[p, i], CVD[p, i], CVE[p, i]} + + (* Cartesian scalar products *) + {CSP[p, q], CSPD[p, q], CSPE[p, q]} + + (* Cartesian Kronecker deltas *) + {KD[i, j], KDD[i, j], KDE[i, j]} + + (* Cartesian Levi-Civita tensors *) + {CLC[i, j, k], CLCD[i, j, k], CLC[][p1, p2, p3], CLCD[][p1, p2, p3]} + + (* Dirac matrices with a spatial index *) + {CGA[i], CGAD[i], CGAE[i]} + + (* Dirac matrices contracted with a 3-vector *) + {CGS[p], CGSD[p], CGSE[p]} + + (* Dirac matrix with a temporal index *) + TGA[] + + (* Pauli matrices with a Lorentz index *) + {SI[mu], SID[mu], SIE[mu]} + + (* Pauli matrices contracted with a 4-vector *) + {SIS[p], SISD[p], SISE[p]} + + (* Pauli matrices with a spatial index *) + {CSI[i], CSID[i], CSIE[i]} + + (* Pauli matrices contracted with a 3-vector *) + {CSIS[p], CSISD[p], CSISE[p]} + + * Notice that the support for nonrelativistic calculations is still somewhat experimental and will be improved in the future versions of `FeynCalc`. + +* Added `ThreeDivergence` to differentiate w.r.t Cartesian vectors. It is essentialy the 3D analogon of `FourDivergence` (88d0213e) + + + * Example: Differentiate the given expression w.r.t `p^i` + + + ThreeDivergence[CSPD[p, r] CFAD[{p + q, m}], CVD[p, i]] + + +* Introduced `CartesianScalarProduct` to set scalar products of Cartesian vectors and `SetTemporalComponent` to set values of the temporal components of 4-vectors. (3b0c4b1b) + + * Example: Specify the value of the Cartesian scalar product `p.q` + + FCClearScalarProducts[]; + CSP[p, q] = mm; + ExpandScalarProduct[CSP[p + r, q + s]] + + * Example: Specify the value of the temporal component of `p^mu` + + FCClearScalarProducts[]; + TC[p] = x; + ExpandScalarProduct[TC[p + r]] + +* Added `EpsContractFreeQ` that can quickly check if the given expression contains epsilon tensors that can be contracted with each other. This is an auxiliary function that is useful when writing involved codes on top of `FeynCalc` (5b02fd19) + + * Example: Check some expressions + + + EpsContractFreeQ[FCI[LC[p1, p2, p3, p4]]] + (* True *) + + EpsContractFreeQ[FCI[LC[p1, p2, p3, mu] LC[q1, q2, q3, q4]]] + (* False *) + +* Added `DummyIndexFreeQ` that can quickly check if the given expression contains dummy indices. This is an auxiliary function that is useful when writing involved codes on top of `FeynCalc` (f0547fb9) (db47ddf0) + + * Example: Check some expressions + + + DummyIndexFreeQ[FCI[FV[p, mu] FV[q, nu]], {LorentzIndex}] + (* True *) + + DummyIndexFreeQ[FCI[FV[p, mu] FV[q, mu]], {LorentzIndex}] + (* False *) + + DummyIndexFreeQ[FCI[SUNT[a, b]], {SUNIndex}] + (* True *) + + DummyIndexFreeQ[FCI[SUNT[a, a]], {SUNIndex}] + (* False *) + +* Added `CartesianToLorentz`, a function that replaces Cartesian Dirac slashes and Cartesian scalar products with corresponding Lorentz tensors and temporal components. (44a6e961) + + * Example: Eliminate `ga^i p^i` in favor of `ga^mu p_mu` and `ga^0 p^0` + + CGS[p] // CartesianToLorentz + + + * Example: Eliminate `p^i q^i` in favor of `p^mu q_mu` and `p^0 q^0` + + CSP[p, q] // CartesianToLorentz + +* Added `LorentzToCartesian`, a function that decomposes selected Lorentz tensors into their Cartesian and temporal components. (1430daf2) + + + * Example: Decompose `p^mu q_mu` into its temporal and spatial components + + SPD[p, q] // LorentzToCartesian + + + * Example: Rewrite `eps^{mu nu rho si} p_rho q_si` as a linear combination of 3D Levi-Civita tensors + + LC[mu, nu][p, q] // LorentzToCartesian + + + +* Added `FCSetMetricSignature` and `FCGetMetricSignature`. Notice that currently the metric signature is mainly used by the functions `CartesianToLorentz` and `LorentzToCartesian`. It is e.g. not possible to set the signature to `{1,1}` and have Euclidean Dirac matrices (30c2c217) + + * Example: Get the current metric signature + + FCGetMetricSignature[] + (* {1,-1} i.e. mostly minus *) + + * Example: Changing the metric signature to mostly plus naturally modifies the output of `LorentzToCartesian` + + FCSetMetricSignature[{-1, 1}] + SPD[p, q] // LorentzToCartesian + + +* Added `FCSchoutenBruteForce`, a function that attempts to automatically simplify the given expression by applying Schouten's identity. Notice that what this function does is pure heuristics so that there is no warranty that it can achieve all possible simplifications (f23523b6) (21092852) + + * Example: Simplify the given expression using Schouten's identity + + exp = LC[][p1, p2, p3, p4] SP[p5, p6] + + LC[][p2, p3, p4, p5] SP[p1, p6] + LC[][p3, p4, p5, p1] SP[p2, p6] + + LC[][p4, p5, p1, p2] SP[p3, p6] + + FCSchoutenBruteForce[exp, {}, {}, Rule -> False] + + + +* Outsourced contractions of epsilon tensors to `EpsContract`. (2d1d8f6f) + + * Example: Calculate some contractions of epsilon tensors + + LC[][p1, p2, p3, p4] LC[][p1, p2, p5, p6] // EpsContract + + CLC[][p1, p2, p3] CLC[][p1, p2, p4] // EpsContract + +### Miscellaneous + +* Added new function `FCCheckVersion` that can abort the evaluation if the current `FeynCalc` version is too old. + +* Added `SMPToSymbol`, a small function for converting `SMP`s to symbols. (e473b3a4) + +* Introduced `FCSubsetQ`, a cheap replacement for the standard `SubsetQ`, which is unfortunately not available in `Mathematica` 8 and 9. The syntax is identical to that of `SubsetQ` (5a4eca2c) + +* Introduced `FCDuplicateFreeQ`, a cheap replacement for the standard `DuplicateFreeQ`, which is unfortunately not available in `Mathematica` 8 and 9. The syntax is identical to that of `DuplicateFreeQ` (b44bd2f7) + +* Added new auxiliary function `FCProductSplit` for splitting products into lists w.r.t a list of the given variables. (efedef66) + + + * Example: Fish out `a` and `b` from the product `a*b*c*d` + + FCProductSplit[a b c d, {a, b}] + + +* Added `FCReplaceAll` and `FCReplaceRepeated`, two handy functions for applying replacement rules sequentially. This avoid writing long chains of `ex /. rule1 /. rule2 /. rule3` etc. (00a34b65) + + + * Example: Apply a sequence of replacement rules to `a*c` + + FCReplaceRepeated[a c, {a -> b}, {c -> d}, {d -> e}, {b -> f}] + +* Introduced `FCPatternFreeQ`. It is just a convenience function that makes it easier to check for patterns in the arguments of `FeynCalc` functions and helps to avoid duplicated code. (212c2cba) + + * Example: Check some expressions + + + FCPatternFreeQ[{FV[p, mu]}] + (* True *) + + FCPatternFreeQ[{FV[p, _]}] + (* False *) + +* Added `FCCheckSyntax`, a helper function that attempts to identify errors in the user input. Notice that such checks are very expensive performance-wise, so they should not be used on a regular basis. Furthermore, `FCCheckSyntax` is not guaranteed to detect all possible syntax errors (6541e10d) (41b8b8eb) + + * Example: Check some expressions + + + FCCheckSyntax[GA[mu]*GA[nu]] + (* Typical mistake, using Times instead of Dot in noncommutative products *) + + FCCheckSyntax[FV[p, mu]*FV[q, mu]*FV[r, mu]] + (* Another common mistake, Einstein summation convention violated *) + + +* Added a new function `FCCompareResults`. It offers a convenient way to compare intermediate of final results to the known values. This function was originally written for example calculations to compare the final results with the literature. (1dab575b) (6287947b) + + * Example: Compare some expressions + + + FCCompareResults[{4, 4}, {2^2, 8/2}] + (* The results agree *) + + FCCompareResults[{3, 5}, {2^2, 8/2}] + (* The results disagree *) + + + +* Added `ExpandAll2` for fast expansions of very large expressions (like in Dirac traces). It is a very special auxiliary +function that is probably useful only in very special cases. The syntax is identical to that of `ExpandAll` (089eb9e6) + + * Example: Benchmark against `ExpandAll` + + + exp = Sum[p[i], {i, 1, 100}] Sum[q[i], {i, 1, 1000}]; + + AbsoluteTiming[ExpandAll[exp];] + + AbsoluteTiming[ExpandAll2[exp];] + (* In `Mathematica` 11.0 ExpandAll2 is almost 60% faster than ExpandAll! *) + + +* Added `FCMakeIndex`. It is a small convenience function for generating indices, i.e. `LorentzIndex`, `SUNIndex` etc. from the output of diagram generators such as `FeynArts` and `QGRAF`. Notice that `FeynCalc` currently does not offer a native interface to `QGRAF`. This is planned for future versions of the package. (2fad0817) + + * Example: Generate some indices + + FCMakeIndex["Lor", "1"] + + FCMakeIndex["Lor", {3, 1, 4}, LorentzIndex] + + FCMakeIndex["Sun", {"a", 1, -4}] + + +* Added new `SMP` objects. (d53496a9) (da890b9f) (f4bb3b73) (eaf5339f) + + * Example: Show all available `SMP`'s + + SMP[] + +* Added `FCShowReferenceCard` and a sample reference card for `FeynArts`. (a1d90ef2) + + + * Example: Show the reference card for `FeynArts` + + + FCShowReferenceCard[{"FeynArts"}] + + +* Added `TypesettingExplicitLorentzIndex` to allow user defined typesetting of explicit Lorentz indices. This was essentially added as a reaction to a request for MSE ([https://mathematica.stackexchange.com/questions/133114/how-to-differentiate-between-superscript-indices-and-powers-in-the-output/134146#134146](URL)) (8b1102de) + + + * Example: Make explicit Lorentz indices look red + + TypesettingExplicitLorentzIndex = Function[x, Style[x, Red]]; + + exp = 4 M^2 u FV[k, 0]^2 - 4 M^2 u FV[k, 3]^2 - + 4 M SP[k, k] - 2 M u FV[k, 0] FV[k, 3]^2 + + 4 M u FV[k, 0] FV[k, 2] - u^2 FV[k, 2]^2 + +* Added `FCGetNotebookDirectory[]`, a simple convenience function that is like `NotebookDirectory[]`, but works also when the Front End is not available. This is especially useful when running some .m scripts from the terminal (600c95ba) + +* Added `FCReloadFunctionFromFile`, an auxiliary function that is useful for debugging the existing `FeynCalc` functions without reloading the kernel. This is a helper function for developers that is not meant to be employed by the users (c51fe7d0) + + + * Example: Reload the definition of `Collect2` + + FCReloadFunctionFromFile[Collect2, FileNameJoin[{$FeynCalcDirectory, "Shared", "Collect.m"}]] + +* Introduced `FCProgressBar`. It is a small auxiliary function that can be used to show the current progress of processing a list of objects with a given function. (d72b205e) + + * Example: Show the progress of some calculation + + FCProgressBar["Calculating something ", i, 10], {i, 1, 10}] + + +## New options, features and other improvements + +#### Miscellaneous + +* Improved `FCUseCache` to take NR quantitites into account when caching. (ca446ee4) +* Allowed `SquareAmplitude` to handle amplitudes of different length (e.g. RV- contributions). (ba642612) +* Modified the debugging interface to have negative values of `FCVerbose` parsed correctly. (0771fa6e) +* Improved factoring of momenta arguments in `DotSimplify`. (bacfa855) +* Improved `Cases2` not to generate erroneous messages when handling functions that must have more than one argument (e.g. `PolyLog`s) (d34a9e64) +* Modified the behavior of `ComplexConjugate` not to abort the evaluation if the expression cannot be strictly factored into Dirac, Pauli and color parts. This should fix Issue #51. (e53bdc0d) +* Improved `FCRenameDummyIndices` and `FCCanonicalizeDummyIndices` to work with `DiracIndex`. (74540c36) +* Added new internal variable ```FeynCalc`Private`AddToTheWhiteListedContextAdditions```. It is meant for packages that add stuff to the `Global` context so that there will be no warning messages when `$FCCheckContext` is set to `True`. (d57682f4) +* Added new option `FreeQ` to `FCGetDimensions` that allows to specify objects to be ignored when extraction dimensions present in the expression. (32aff18b) +* Made `FC{Dirac,Color,Pauli,Matrix}Isolate` listable. (14d5ac71) +* Improved `FCRenamingDummyIndices`. (0f1ecb94) +* Added new option `DiracIndexNames` to `FCCanonicalizeDummyIndices`. (53fec02e) +* Improved the `Conjugate` option of `ComplexConjugate` following the suggestion of JP-Ellis from https://github.com/FeynCalc/feyncalc/pull/48 (4327daf7) +* Completely refactored ComplexConjugate, adding support for DiracChains and PauliSigmas. (82bdedc9) +* Added the `TimeConstrained` option to FCColorIsolate. (0c29d439) +* Improved `Uncontract` to handle `DiracChain`s. (ba756e9c) +* Improved `FCCanonicalizeDummyIndices` to handle `DiracChain`s. (4801967e) +* Improved `DotSimplify` to apply DiracChainFactor when the input contains `DiracChain` symbols. (9f268817) +* Various functions now support the option `FCE -> True` to convert the output to the `FeynCalcExternal` form. +* Added new option `Expand` to `NTerms`. (e8cc7378) +* Moved `OptionsSelect` and `$Gauge` from `FeynCalc.m` to `Phi`. (7bc5d54d) +* Added an option `Conjugate` to `ComplexConjugate`. Now it is possible to wrap arbitrary variables into `Conjugate` heads, i.e. coupling constants. (cc79324f) +* Improved `MomentumCombine` to work also on `Eps` tensors. This can be disabled via the option `LC->False` (thanks to Pablo Sanchez Puertas for the suggestion) (4bfe6e59) +* Added a new option `ChangeDimension` to `FCGetDimensions`. When set to true, the dimensions of Cartesian objects will be determined with respect to the Lorentz objects from which they originate. In this case the dimension of `CV[p,i]` will be 4 and not 3. This is mainly required for functions related to the Dirac algebra, which need to check the dimensions in order to be conistent with different gamma_5 schemes. (d231c3ec) +* Added new option `Head` to `FCFactorOut` (e508b29b) +* Added new option `Full` to `ExpandScalarProduct`. Together with the momentum options it allows even more fine-grained expansions, e.g. for `ExpandScalarProduct[SP[l+p1+p2+p3,q1+q2+q3+q4],Momentum->l,Full->False]`. This helps to avoid an unnecessary proliferation of terms. (64c6e504) +* Added a new option `ExpandScalarProduct` to `Contract`. When set to `False`, scalar product will not be expanded which should give a speed up on QCD diagrams with 3- and 4-gluon vertices. (50e860b1) +* Changed the behavior of `Collect2` on expressions that contain none of the specified monomials. Now such expressions will be factored (according to the `Factoring` option) in the output. This is a more consistent behavior compared to what we had before. (c9219af6) +* Improved `Collect2` so that it can now thread over (lists of) replacement rules. This is particularly useful when applying `Collect2` to the output of `Solve`. (5c334b7d) +* Changed the ordering of InitialFunction and `FCFactorOut` in `Collect2`. It is better to first factor out the overall coefficient and then apply the `InitialFunction` (e.g. `Expand`). (3dc17555) +* Modified the option `Factoring` of `Collect2` so that one can specify the maximal `LeafCount`. Terms that are more complicated than that will not be factorized. (f9a12d59) + +* New options added to `Collect2` + * `TimeConstrained`, specifies the maximal amount of seconds that can be spent on factoring a single term. Default value: `Infinity` (958d5536) + * `Head->{h1,h2}`, will wrap the product of the monomial and the coefficient into `h2` (cba0b153) + * `InitialFunction -> fun`, applies `fun` to the expression before collecting the monomials (cba0b153) + * `IntermediateSubstitutions`, specifies a set of replacement rules to applies to the expressions after applying `InitialFunction` (cba0b153) + * `Numerator` and `FactoringDenominator`. These options are meant for cases where `Collect2` is used on fractions, i.e. `Collect2[(....)/(....),...]`. With `Numerator->True` `Collect2` will be applied only to the numerator but not the denominator. `FactoringDenominator` allows to specify a function that will applied to the denominator, e.g. `Factor2`. (1e48d104) + +* Miscellaneous improvements and optimizations in various functions + * `Contract`: (f1538e4e) + * `ExpandScalarProduct`: (7bb494c4) (358365b3) + * `FourDivergence`: (f00d8584) + * `SUNSimplify`: (ef8500a5) + * `PairContract`: (b538f4eb) + * `MomentumCombine`: (f2da34ad) + * `ChangeDimension`: (262aa4b0) + * `DoPolarizationSums`: (40710e25) + * `EpsEvaluate`: (3627da9b) + * `FCSplit`: (5c42c5f6) + * `Collect2`: (4573748f) + +#### Typesetting + +* Improved typesetting of `Eps` to have explicit distinction between `4`- and `D`-dimensional Levi-Civita tensors. (38151c96) +* Improved the typesetting rules to avoid unnecessary calls to `FCI` and `MomentumExpand`. (e11aa3ae) +* Improved typesetting of `FAD`s so that now objects like `FAD[p,Dimension->4]` or `FAD[{p+q,m}, Dimension->D-4]` will have the momenta displayed with the correct bars and hats. This way now one can immediately see the dimension of a `FAD`. (30542a78) +* Improved typesetting of `FeynAmpDenominator`. (1e802f06) +* Improved typesetting of four vectors. (87fab6da) + +#### `FeynArts` + +* Improved `FCPrepareFAAmp` to support the new `PropagatorDenominator` syntax of `FeynArts` 3.12 (thanks to Will, ) (6946116f) +* Improved `FCPrepareFAAmp` to handle the input from `FeynArts` with explicit Dirac indices (issue # 46). (7eed481b) +* Added new option `FAModelsDirectory` to `FAPatch` so that we can also patch models that are not in `FeynArts/Models`. (9341acea) +* Patch `FCFAConvert` to support empty diagram lists (#43) (e01b3b8b) +* Updated `FCPrepareFAAmp` to handle Majorana spinors. (a84199f2) +* Improved `FCFAConvert` to handle `FeynArts` models with `SUND`s in the Feynman rules (thanks to A. Hayreter). (59002150) +* Added a new option `Prefactor` to `FCFAConvert`. (8e8d0b96) +* Added new option `Contract` to `FCFAConvert`. Sometimes it is convenient to carry out all the Lorentz contractions immediately after generating the amplitudes. (c5e593bd) +* Improved handling of CKM matrix element when converting from `FeynArts` to `FeynCalc`. (90d42d47) +* Updated `FeynArts` patching function to protect the `SI` shortcut. (b818e820) + +#### Dirac algebra + +* Modified the behavior of `DiracReduce` not to output DiracSigmas with `FCE` applied to their arguments. (2c4793f5) +* Improved performance of `DiracSimplify` on contractions from large traces. (834cefa9) +* Improved formulas used in `PauliTrick`. (e687d04c) +* Updated `FCPauliIsolate` to have similar features as `FCDiracIsolate`. (096a12c0) +* Added new option `FeynAmpDenominatorCombine` to `FCFAConvert`. When set to False, propagators raised to integer powers will be returned e.g. as `FAD[p1+p2]^2` instead of `FAD[p1+p2,p1+p2]`. This should emulate the old behavior of `FeynArts` before the change that occurred on the 19.03.2019. (ec976f75) +* Improved `DiracSimplify` on expressions with Cartesian tensors. (8921a977) +* Added new option `CartesianIndex` to `FCDiracIsolate`. (006f65f2) +* Added new options `LorentzIndexNames` and `CartesianIndexNames` to `ToStandardMatrixElement`. This way we can choose nicer looking indices when applying the function. (9020ffe5) +* Improved the parsing of `FeynArts` amplitudes with 4-fermions when using the `UndoChiralSplittings` option. (6f018947) (221af0f3) +* Improved handling of 4-fermion diagrams in `DiracSimplify` and `ToStandardMatrixElement`. (d6699ac3) +* Improved BMHV algebra in `DiracTrick` so that chiral structures of the expression (`GA[6]` and `GA[7]`) do not get messed up when moving chiral projectors past other matrices. (081fb5e0) +* Added new options `DiracSimplify` and `DiracEquation` to `ToStandardMatrixElement` to have more fine grained control over the process. (f43caece) +* Added new options `LorentzIndexNames` and `CartesianIndexNames` to `DiracSimplify`. This can help to avoid additional index canonicalizations when applying DiracSimplify to a list of amplitudes. (50f01060) +* Small optimization in `DiracSimplify` regarding Sirlin relations. (69cb590d) +* Made `DiracSimplify` listable. (61872d54) +* Added new options `LorentzIndexNames` and `CartesianIndexNames` to `SpinorChainTrick`. (a63eb61b) +* Added new option `FCTraceExpand` to `FCDiracIsolate` and changed the default value of the factoring option to `{Factor2, 5000}`. (21235227) +* Improved `DiracTrace` to evaluate simple traces before entering the main evaluation function via `DiracTrick`. (d60a0b6b) +* Improved `DiracSimplify` not to miss certain contractions. (6a01f4dd) +* Allowed `DiracChain` symbols to factor out an overall numerical coefficient. (e71bf706) +* Added additional simplifications in `DiracTrick` for the `NDR-Discard` scheme. (021c5030) +* Added fast mode to `DiracTrace`. (53d2e07a) +* Modified `DiracEquation` not to mess up the chiral structure of the input expressions. (43799615) +* Refactored `Anti5` to call `DiracTrick` for all g^5-related manipulations. (f3a23a7f) +* Improved `DiracSimplify` to try to repeat the attempt to calculate the trace at a latter stage. This is mainly relevant for NDR, where the trace might become simpler at a latter stage. (64ea28f3) +* Improved `Chisholm`, `DiracOrder`, `EspChisholm`, `FCChargeConjugateTransposed` and `SpinorChainTranspose` to handle `DiraChain` objects. (3c48b725) +* Improved `FCDiracIsolate`, `FCPauliIsolate` and `FCColorIsolat` to wrap the prefactor of the matrix chain into a user-specified head via the Head option. (47f48b2f) +* Improved `DiracSimplify` to handle `DiracChain`s. (1b1b1d1d) +* Improved `DiracTrick` to support `DiracChain`s. (553ff9c4) +* Added a fast mode to `DiracChainJoin`. (a327b9d4) +* Improved `FermionSpinSum` to handle amplitudes squared that involve Majorana spinors. The reordering of spinors in the corresponding chains can be turned off via the option `SpinorChainTranspose`. (71b9d256) +* Added a new option `FCJoinDOTs` to `DotSimplify`. This allows to inhibit the joining of DOTs when `Expanding` is set to False. The same option is now also available in `FCDiracIsolate`, `DiracTrick`, `Chisholm`, `DiracOrder` and `EpsChisholm`. (34f08996) (c280442e) + +* New options added to `FCDiracIsolate` + * `Polarization`, when set to `True`, also tensors contracted with polarization vectors will be isolated together with the Dirac structures. Default value: `False` (bae9eadd) + * `Spinor->Join`, when the already existing option `Spinor` is set to `Join`, products of spinor chains will be wrapped into one head, which is useful for a range of special identities. (fbdfcecf) + * `TimeConstrained`, specifies the maximal amount of seconds that can be spent on factoring a single term in the application of `Collect2`. Default value: `3` (fcf27e17) + +* New options added to `DiracSimplify` + * `DiracSubstitute5`, when set to `True`, the function `DiracSubstitute5` will be applied to the input expression . Default value: `False` (7de810df) + * `DiracTrace`, when set to `False`, `DiracSimplify` will completely ignore all Dirac traces in the expression. Default value: `True`. (3a439bbe) + * `Expand2`, when set to `False`, `Expand2` will not be applied to the final result. Default value: `True`. (ac506e16) + +* Miscellaneous improvements and optimizations in various functions + * `DotSimplify`: (f66d9973) (f3accd1d) (e7830814) (9d622473) + * `DiracTrick`: (4212b34c) (d8d8a496) (e3097739) (a72ac349) (3ab2aa76) (748255e6) (92a7db05) (45e04933) (86517dda) + * `DiracOrder`: (7fd172af) (a9af59b3) + * `DiracEquation`: (86517dda) + * `DiracTrace`: (f9457758) (60eee612) + * `DiracReduce`: (389021fd) + * `Chisholm`: (5208ffb2) (a9af59b3) (d3030b84) + * `DiracGammaCombine`: (a9af59b3) + * `DiracGammaExpand`: (a9af59b3) (53fbf542) + * `EpsChhisholm`: (a9af59b3) + * `FCDiracIsolate`: (4b2f7ed9) (86517dda) + * `FCTraceExpand`: (9d622473) + * `DiracSimplify`: (153c344d) (6e74bd96) (47faf5eb) (86517dda) + * `DiracTrace`: (78f8de5a) (bb826aa8) (47faf5eb) (f1538e4e) + +#### Cartesian tensors + +* Improvemenets of various functions to support Cartesian tensors: `Contract`, `DiracSigmaExplicit`, `DiracTrace`, `DiracOrder`, `DiracSimplify`, `DiracOrder`, `DiracTrick`, `ToDiracSigma`, `DiracEquation`, `DotSimplify`, `DiracSigmaExplicit`, `DiracGammaCombine`, `DiracGammaExpand`, `FCDiracIsolate`, `FCTraceExpand`, `FCTraceFactor`, `ToLarin`, `EpsChisholm`, `Chisholm`, `EpsEvaluate`, `ExpandScalarProduct`, `FCGetDimensions`, `MomentumCombine`, `MomentumExpand`, `FeynAmpDenominatorSplit`, `FCCanonicalizeDummyIndices`, `FCLoopIsolate`, `FCGramDeterminant`, `FCGramMatrix`, `PaVeReduce`, `FCLoopSolutionList`, `FCLoopCanonicalize`, `ChangeDimension`, `FCRenameDummyIndices`, `ComplexConjugate`, `FCReplaceD`, `PropagatorDenominatorExplicit`, `FeynAmpDenominatorCombine`, `Calc`, `Tr2`, `Trick`, `Anti5`, `DoPolarizationSums`, `PolarizationSums`, `Uncontract`, `FermionSpinSum` `FCClearScalarProducts` `Eps` (4827b5d3) (f7797f05) (aed41980) (209de41e) (4202cc6c) (265cd258) (c229666e) (98cbefc3) (f7c77b20) (2839e4b4) (0f4e03b4) (265638e9) (0cd763c8) (ed5b7c53) (789da180) (23b138d8) (a374b2fd) (081f2ec5) (b20b55f5) (108702ee) (112f2707) (d1feae49) (ac18f860) (36148aca) (afeb7f22) (75f1091e) (b40a399c) (4fb85670) (ca8f1396) (b572d81e) (3d3923d0) (ddd968e0) (51477c4e) (2caa6cfb) (1aa319d4) (17ce0a3f) (2d42c7c3) (cc8221dc) (518d4cd4) (0829849d) (626114ab) (2d1d8f6f) (123c5e52) (5c43cf49) (6ad513ec) + +#### Loop integrals + +* Improved performance in `FCLoopExtract`, `FCLoopIsolate` and `FCMultiLoopTID` (98a10039). +* Improved performance of `FCApart` by using memoization. (9f19c326) +* Added new option `MaxIterations` to `PaVeReduce`, so that one can limit the depth of the reduction. (4d32be8c) +* Improved `FCLoopBasisIntegralToPropagators` and `FCLoopBasisIntegralToPropagators` to allow for lists of propagators in the input. (b48a10e9) +* Added new option `PaVeOrder` to `ToPaVe`. When used together with `PaVeAutoOrder` this will completely disable the reordering of the arguments using symmetries of the `PaVe` functions. (0938f7d4) +* Improved `TarcerToFC` to properly recover the external momentum from scalar products using the new option ScalarProduct. (a2af7454) +* Added some additional rank 4 2-loop tensor decompositions to `TIDL`. (d83b42e6) +* Improved `PaVeReduce` not to remove external isolations. (69225bad) +* Improved `FCApart` to handle nonlinear loop integrals. (f5b0f90a) +* Improved `FCMultiLoopTID` to handle NR integrals. (dd56a002) +* Improved `FCLoopBasisExtract` and `FCLoopBasisOverdeterminedQ` not to freak out on nonlinear/nonstandard integrals. (bc886f6d) +* Improved `ApartFF` and `FCApart` to avoid issues with `Collect2` never finishing due to bugs in ` Mathematica` 's `Factor`. The option `Factoring` is now given as a list, e.g. `{Factor2, 5000}`. The second value is the maximal `LeafCount`. Coefficients that have a higher LeafCount value will not be factored but left as they are. The option `TimeConstrained` is passed to `Collect2`. Here we set `3` seconds as a safe default. If the user exprects more compact results when facotrization is allowed to try harder, he or she should modify the options `Factoring` and `TimeConstrained` accordingly. (bbc38955) +* Improved `TID` and `FCMultiLoopTID` to handle input with `DiracChains`. (69481170) +* Added an option `Collecting` to `PaVeReduce` to prevent some reductions from never terminating (thanks to C. Bobeth). (0eea4f8f) +* Added new option `Momentum` to `FeynAmpDenominatorCombine`. It makes it possible to combine only those `FADs` that depend on the given set of momenta. (ee4245e4) +* Added new option `Head` to `Tdec`. (b1e2b5bd) +* Added new option `TID` to `ToTFI` (thanks to P. Schicho for the suggestion). (231d64a0) +* Added new option `Subtract` to `FCHideEpsilon` and `FCShowEpsilon`. This allows one to specify what will be abbreviated together with `1/Eps`, i.e. we are not limited to `1/Eps - EulerGamma + Log[4Pi]` anymore. (0c70248a) +* Modified `FCApart` not to mess with the propagators when `FDS` is set to `False` and to apply `FCE` (when needed) even to expressions that do not require partial fractioning. (37214903) +* Added new option `List` to `FeynAmpDenominatorSplit`. Now we can also obtain a splitted `FAD` as a list of single denominators. (e60fe5e6) +* Improved `TID` to avoid issues with `Collect2` never finishing due to bugs in `Mathematica`'s `Factor`. The option `Factoring` is now given as a list, e.g. `{Factor2, 5000}`. The second value is the maximal `LeafCount`. Coefficients that have a higher `LeafCount` value will not be factored but left as they are. The option `TimeConstrained` is passed to `Collect2`. Here we set 3 seconds as a safe default. If the user expects more compact results when factorization is allowed to try harder, he or she should modify the options `Factoring` and `TimeConstrained` accordingly. (21c9c3d0) + +* New options added to `FCLoopIsolate` and `FCLoopExtract` + * `FAD`, `SFAD`, `CFAD`, `GFAD`. When set to `False` the corresponding denominator will be ignored. Default values: `True` (57d8f075) + * `Numerator`, when set to `False` only denominators will be isolated. This is meant for the cases when we are interested only in propagators but not in the scalar products (e.g. when we are doing a topology identification). Default value: `True` (54c14e95) + +* New options added to `FCLoopBasisFindCompletion` + * `Check`, when set to `False`, we can also supply less propagators than needed to complete the basis via `Method`. As long as those propagators fit properly, they will be accepted. Default value `True` (2defcf3f) + * `Abort`, when we have a user supplied list of propagators and `Abort` is set to `True`, `FCLoopBasisFindCompletion` will immediately stop once it encounters a propagator that cannot be used to complete the basis. This options makes sense only when `Check` is set to `False`. Default value: `False` (4cd8c36f) + * `ExpandScalarProduct`. Internally we need to apply `ExpandScalarProduct` to check the basis completion, but sometimes we want to custom propagators to be returned unexpanded. Now this is possible when `ExpandScalarProduct` is set to `False`. Default value: `True` (6e1219da) + +* New options added to `FeynAmpDenominatorExplicit` + * `Denominator`, to wrap propagator denominators in the given head. Default value: `Identity`. (51fc4da4) + * `ExpandScalarProduct`, when set to `False`, `ExpandScalarProduct` will not be applied to the result. Default value `True`. (3572db28) + * `MomentumCombine`, when set to `False`, `MomentumCombine` will not be applied to the result. Default value `True`. (3572db28) + * `SmallVariable`, when set to `True`, `SmallVariable`'s in the propagator denominators will be set to zero. Default value `False`. (cdbc121b) + + * `Mandelstam`, when set to a non-empty list that is a valid second argument of `TrickMandelstam`, this function will be applied to the result. Default value: `{}`. (cdbc121b) + +* New options added to `SimplifyPolyLog` + * `EulerGamma`, when set to `True`, all `EulerGamma` will be dropped when simplifying `PolyGamma` functions. Default value: `False` (dde6afdd) + * `Sqrt`, when set to `False`, functions with square roots in their arguments will not be simplified. Default value: `True` (0bc92d2a) + * `Log`, when set to `False`, `Log`s will not be simplified. Default value: `True` (8d750492) + * `Trig`, when set to `False`, trigonometric functions (`ArcSihn`, `ArcCosh`, `ArcTanh`) will not be simplified. Default value: `True` (7fb37a60) + * `PolyLog`, when set to `False`, polylogs will not be simplified. Default value: `True` (28168962) + * `Nielsen`, when set to `False`, `Nielsen` will be converted to `PolyLogs` in the final result. Default value: `True` (5bb8131a) + +* New options added to `ApartFF` + * `MaxIterations`, determines the maximal number of interations to achieve full partial fractioning. Default value: `Infinity` (47a532c9) + * `Numerator`, when set to `False`, partial fractioning will be applied only to the propagator denominators, but not numerators. This is sometimes more useful when dealing with multiloop integrals. Default value: `True` (8918b220) + + +* Miscellaneous improvements and optimizations in various functions + * `FCLoopBasisOverdeterminedQ`: (52bf243d) (1d5d7271) (207b7f76) + * `FCLoopBasisIncompleteQ`: (52bf243d) + * `FCLoopBasisIntegralToPropagators`: (467e86cb) (11b153be) (6195d440) (a2e5485d) (8ce4ac38) (20676a4b) (b28b0d2b) + * `FCLoopIsolate`: (4d641b95) (d9f4ed15) + * `FCLoopBasisExtract`: (467e86cb) (05085495) (1bada3da) (05732bb0) (207b7f76) + * `FCLoopExtract`: (c6443ae3) + * `OneLoopSimplify`: (a7a28ff2) + * `OneLoop`: (51a658bf) (46f15431) + * `FCMultiLoopTID`: (46c78f0f) (d3ea5b04) (ea1f0769) + * `TID`: (cb109c2a) (97f9fe6c) (1a1c13b8) (278d2b28) (d0ab6d53) (43cd70fa) (ab863779) (aa8e6bf4) + * `FDS`: (fed3b259) (1a1c13b8) (4763a181) (6e0f5c7c) (81df755e) (2c671abf) (bf4dcd4e) (427c4434) (d5d68b15) (f62cc928) (3d41a694) + * `SimplifyPolyLog`: (4429da9a) (bd2f788f) (e4d9bb99) (357463ec) (615022b1) (925e489f) (29135ecc) + * `ToPaVe`: (3299a73d) (3395a452) + * `ToPaVe2`: (e360de81) + * `ApartFF`: (1a1c13b8) (278d2b28) (06de9161) (5a2b39ab) (d8e70625) + * `FeynAmpDenominatorSplit`: (92f81fd1) + * `FeynAmpDenominatorCombine`: (7a7493c2) (9bd0eccf) (95529a5a) (0d764f97) + + +## Bug fixes + +* Fixed `DCHN` typesetting for spinors with D-dimensional momenta. (b08e3edd) +* Fix an infinite loop in `ExpandAll2[]`. (#45) (22628122) +* Fixed `UndoChiralSplittings` in `FCPrepareFAAmp` for explicit Dirac indices. (2d2904f2) +* Fixed a bug in `GhostPropagator`, where the sign from `QCDFeynmanRuleConvention` was ignored. (b79b3573) +* Fixed/improved some descriptions of the functions. (f5a6900d) +* Fixed a bug in `DiracSimplify` not recognizing traces free of Dirac matrices. (a186d537) +* Fixed a bug in `ComplexConjugate` regarding the conjugation of `FCChargeConjugateTransposed` expressions. (348918b4) +* Corrected EW examples where the gauge terms of weak bosons were missing in the unitarity gauge. Thanks to N. Steinberg. (b9338605) +* Fixed a bug in `DiracChainCombine` that did not take into account products of `DCHN`s in the input. (bac01220) +* Cleaned up the source code following the WWB warnings. (4d8715ad) +* Fixed a performance issue in `FCDiracIsolate` that made `FCFADiraChain` join painfully slow at 2-loops. (4360a634) +* Fixed not working cases of `diracTrickEvalFast` in `DiracTrick`. The new debugging option Evaluate should help in catching such cases via unit tests. (b563a17b) +* Fixed a small bug in `DiracTrace` when traces of `DOT[1,1]` and alike are not fully evaluated. (555a1739) +* Fixed bugs in `TID` and `FCMultiLoopTID` when we have loop momenta inside Dirac traces that cannot or should not be evaluated. (e638daba) +* Fixed a bug in `FCPrepareFAAmp` when specyfing explicit SU(N) indices in the FA input. (3d34989e) +* Fixed multiple typos (thanks to Hermès BÉLUSCA - MAÏTO). (eca73ac6) +* Fixed the option `ExceptHeads` in `FCColorIsolate` so that it can be used to filter out `SU(N)` constants in `StandardMatrixElement`. (55d97635) +* Fixed a typo in `FeynCalc.m` (66d4b984) +* Fixed a bug in `Tr2`. (b7e8be20) +* Rebuild the new documentation for `FeynCalc` 9.3. This should solve Issue #20, Issue #25, Issue #36 and Issue #44 (c6d41ea8) +* Fix the renormalization example. (f1639276) +* Reworked error messages in mixed dimensions in schemes other than BMHV. This way the user should better understand what is going wrong. (45363084) +* `TID`: Do not fail with weird error messages when the loop momentum is inside a list. (8ee8b593) +* Fixed a bug in the detection of variables leaking into the `Global` context. (97d0e853) +* Fixed an issue with `$SystemMemory` missing in `Mathematica` 8 and 9. (1b7cb9cf) +* Disabled automatic expansion of momenta in Dirac spinors. Otherwise it is impossible to apply `MomentumCombine` when needed. (7ba7fcfd) +* Do not allow `Uncontract` act on expressions with symbolic or negative powers: this inevitably generates wrong results. (ea32f1e1) +* Blocked obviously illegal `SUNIndex` and `SUNFIndex` objects. (44002e8f) +* Fixed a bug when `FCSplit` would not immediately abort the evaluation although the second argument is not a list. (76a8b277) +* Fixed a bug, where a conversion rule was missing in `TarcerToFC`. (428f4d18) +* Fixed several bugs in `DotSimplify` that prevented an efficient application of predefined commutation and anticommutation rules. (eff659e1) +* Added a workaround for products of non-commutative objects in DOTs to be handled by `DotSimplify` (GitHub Issue #42). (0ebd271b) +* Fixed a bug in `FCProductSplit`. (347fab47) +* Fix for the accidental removal of the `PropagatorDenominatorExplicit` compatibility mode. (e235e369) +* Fixed wrong factoring option in `Solve3`. (15b624ac) +* Fixed a bug in `FCCanonicalizeDummyIndices` when it would erroneously rename free indices. (3fb80784) +* Fixed a bug when `FCLoopBasis` functions would not abort the evaluation when applied to expressions free of the loop momenta. (4163772a) +* Removed obsolete rules for Polarization that did not honor the `Transversality` option (thanks to ChiMaoShuPhy, GitHub Issue #41). (357cac41) +* Resolved possible issues with Cartesian quantities in `FourDivergence`. (fbac6b35) +* When a Cartesian scalar product of type p^2 is set to zero, the corresponding `CartesianMomentum` must be set to zero as well. (2e588be6) +* `Collect2` should abort if the input contains `SeriesData`. This usually happens when one forgets to apply `Normal` after a series expansion. (ac08a472) +* Fixed another small bug in `TID` for NR integrals. (81faa558) +* Fixed some bugs in the treatment of NR integrals. (b0804303) +* Fixed some bugs in the typesetting. (ca7a9743) +* Fixed a small bug in `DiracEquation`. (3d3c9921) +* Fixed a bug in `Spinor` with `HoldForm` in the momentum slot. (df57486c) +* Fixed some more bugs related to the reduction of integrals with temporal components. (3f9d6b7c) +* Fixed a bug in `FCApart`. (bff5237f) +* Fixed a bug in `FCApart` related to `SFADs` and `CFADs`. (6777a01e) +* Fixed another bug in `Write2` (thanks to F. Saturnino). (e312281d) +* Fixed another bug in `Write2` (thanks to F. Saturnino). (62d395fa) +* Fixed missing link to `FCCanonicalizeDummyIndices`. (e003b3fe) +* Fixed a bug in `Write2` (thanks to F. Saturnino). (23625442) +* Make `FCLoopBasisIntegralToPropagators` be less strict on integrals with linear combinations of scalar products in the numerators (thanks to H. BÉLUSCA - MAÏTO, GitHub Issue #38). (7cc253f8) +* Fixed some more bugs in the symmetrizer of `Tdec` (thanks to H. BÉLUSCA - MAÏTO, GitHub Issue #37) (25e17ce2) +* Fixed a small bug in `FCReplaceMomenta`. (95ff78d9) +* Fixed a bug in `Tdec` related to the missing symmetrizations for multiloop integrals (thanks to H. BÉLUSCA - MAÏTO, GitHub Issue #35). (6cbbffbe) +* Fixed some tests. (b3a0226a) +* Fixed a small bug in `FCLoopBasisIntegralToPropagatorsFCLoopBasisIntegralToPropagators`. (46ff60a2) +* Fixed a small bug in FDS related to the handling of `SFADs`. (14be10b9) +* Fixed a bug in `FCLoopBasisIntegralToTopology` related to a wrong extraction of propagator powers. (8014a58c) +* Fixed a bug in `FCCanonicalizeDummyIndices` that Lorentz indices were always canonicalized, even when this was turned off via the `Head` option. (808ca5b5) +* Fixed a bug in `FCApart`, where `f` was wrongly assumed to be nonzero. (405023b2) +* Fixed a bug in `FCCanonicalizeDummyIndices` in conjunction with Dirac traces. (676407b7) +* Fixed a bug in `FCLoopBasisFindCompletion` when the list of user-supplied propagators contains duplicate entries. (a6adb95a) +* Fixed a bug with wrong propagator powers reported by `FCLoopBasisExtract` for `SFAD`s and `CFAD`s. (3f2b6e3b) +* Fixed a performance regression in the typesetting of `FeynAmpDenominator` (`FCI` version). (4c5351ff) +* Fixed `FCFAConvert` to properly handle `FeynArts` models with an explicit `Eps` (thanks to Gang Li). (4496d289) +* `OneLoop`: Fix typos. (c272ef8e) +* Fixed some issues with `Mathematica` 9 and 8 (thanks to Gang Li). (6ee20946) +* Fixed inconsistent behavior of `FDS`. If a loop integral factorizes into a product of loop integtrals, `FDS` can often detect that and give the result in such a way, that a single `FAD` is rewritten as a product of `FAD`s. This behavior is controlled by the option `FeynAmpDenominatorCombine`. The default value is `False` (to be compatible with the old behavior). Setting this option to `True` activates the factorization. (8a7553f4) +* Small fix in `Solve3`. (c7a74d74) +* Fixed a small bug in `FCPrepareFAAmp`. (84ca61dc) +* Small fix in `FeynAmpDenominatorSimplify` to handle cases like `FAD[{p,m}]^2 - FAD[{p,m},{p,m}]` when no loop momentum is specified. (e9bae655) +* Small fix in `FUnitTools`. (2523f6fd) +* Small fix in the automatic installer. (54065442) +* Fixed several bugs in `FeynCalc2FORM`. (43b6352e) +* Do not call `SirlinSimplify` from `DiracSimplify` if the expression is not strictly 4-dimensional. (a2a18a42) +* `FCCanonicalizeDummyIndices`: Do not expand the expression if there is nothing to canonicalize. (d6feaa03) +* Disabled memoization in `TrickMandelstam` to prevent problems with `ScalarProduct[x,y]=z`. (82b4d8fc) +* Do not generate nrfail messages, if the expression contains only an `ExplicitLorentzIndex[0]`. (ae8c109f) +* Do not automatically project all `ExplicitLorentzIndex` objects to 4 dimensions. (edffee97) +* Disabled `SimplifyPolyLog` on expression that contain patterns. This often leads to wrong and/or unpredictable results. (aabe103f) +* Removed memoization in `PairContract`. Otherwise one gets issues with many other functions after changing definitions of the scalar product. (b70704d4) +* Fixed issues with `TID` when `Dimension` is not `D`. (0bd9c1ec) +* Some more fixes in `SimplifyPolyLog`. (b468ad64) +* Small fix in the `FeynArts` patcher (thanks to Will). (e0b620f3) +* Fixed a bug in `FCAbbreviate`. (0e58c3ae) +* Fixed the two loop QCD ghost example. (01fedaef) +* Fixed improper blocking of non-scalar 5-point functions in `NPointTo4Point`. (d88303fb) +* Fixed wrong sign in `NPointTo4Point` (thanks to Pablo Sanchez Puertas). (37d80c7f) +* Fixed handling of BMHV in `FCMultiLoopTID` and blocked input in wrong dimensions. (0a394469) +* Fixed a small bug in `DiracTrick`, where an internal variable entered the final result (thanks to Graczyk Krzysztof). (a29eebf0) +* Fixed a small bug in `TID` with some indices remaining uncontracted in the final output. (c50521df) +* Fixed a bug in `TID` related to the BMHV scheme. (d26489e8) +* Fixed missing `PartialD -> FCPartialD` replacements in PHI. (090eb50d) +* Fixed a bug in `ExpandScalarProduct` (thanks to Simone Biondini). (7d72b11e) +* Added another check against incorrect `Pair` expressions. (2de6c8c0) +* Fixed a bug in `FCLoopMixedToCartesianAndTemporal` when the input contains `FADs`. (7b863558) +* Fixed a bug in `SUNTF` related to the pattern matching. (0cb39274) +* Fixed a bug in `DiracReduce` when too complicated Dirac structures could not be reduced to `SPVAT`. (e2e3d2ed) +* Fixed `Chisholm` and `DiracReduce` failing on spinor chains. (28d942a7) +* Fixed another bug in `FCLoopBasisIntegralToPropagators`. (62130671) +* Fixed a bug in `FCGetNotebookDirectory`. (dd014f8d) +* Fixed a small bug in the `FeynRules` QCD model. (e92ae81f) +* Minor fixes in the bundled add-ons. (ddbe1247) +* Fixed some leakage of `FeynCalc` internal symbols into the `Global` context after loading `FeynCalc`. Furthermore, the file `.testing` in the `FeynCalc` directory now allows `FeynCalc` to decide whether the current version is a development or a stable version. (0e1fc2cd) +* Added a fix to `FCLoopSplit` to work around a bug in Factor in `Mathematica` 11.0.1 (c.f. ) (7efbbacc) +* Small fix in `TR`. (81b862dd) +* Fixed a bug in `SpinorChainTrick` related to the canonicalization of Lorentz indices in spinor chains. (7a79835c) +* Fixed a bug in `OneLoopSimplify` related to an excessive use of `Isolate` that leads to issues with noncommutative objects (thanks to Adrian). (60ef0c62) +* Small fix in `README.md` for the examples. (52d25d50) +* Fixed possible memoization issues in `SimplifyPolyLog`. (fa423bee) +* Fixed an issue with `FDS` when it is used with specifying loop momenta. (e7f5308d) +* Minor fixes in `FCCompareResults`. (95478e03) +* Fixed a small bug in `FCLoopIsolate`. (46a2de4a) +* Fixed a bug when `FCMultiLoopTID` would ignore tensor integrals that depend on a smaller number of loop momenta then given in the second argument of the function (thanks to P. Schicho). (9a0a9834) +* A tiny fix in `PaVeReduce`. (e6a76e46) +* Small improvements in `FAPatch` (better text output). (2e1a3b5b) +* Minor corrections in the `FeynRules` models. (eff81a4a) +* Fixed some false warnings in `PolarizationSum` when working with `D`-dimensional polarization vectors. (be849046) +* Fixed a small bug in `ComplexConjugate` (`SUNDeltaContract` not converted back into `SUNDelta`). (6d80a841) +* Small fix in `FCCheckSyntax`. (d93d0c08) +* Fixed a small bug in `DiracTrick` (`Eps` has no options anymore). (4753508e) +* Fixed an issue with user defined `$RankLimit` when generating `Tarcer.mx` (4a472353) +* Fixed a bug in `FCPrepareFAAmp` related to the convestion of the SU(N) Kronecker delta. (ebaa2504) +* Fixed a bug in the definition of `TFR` in `Tarcer` (thanks to P. Schicho). (4abdafda) +* Some minor corrections to `PaVeUVPart`. (fb4c8255) +* Several minor corrections in `DiracTrick`. (ba08afba) +* Fixed a small bug in `TarcerToFC` regarding nonstandard dimensions. (4222c8aa) +* Fixed a bug in the typesetting of `FAD`s. (c809f4a4) +* Fixed a bug in the typesetting of `TemporalPair`. (fc044986) +* Fixed a regression bug in `TarasovT` (thanks to Zhang). (33641020) +* Fixed a bug in `FCCanonicalizeDummyIndices` related to contractions of Lorentz and Cartesian indices in different dimensions. (df50e5ae) +* Fixed some issues in `DotSimplify` related to the new `FCJoinDots` option. (998d8081) +* Fixed a bug in `FCE` related to issues with `FAD`'s having nonstandard dimensions. (b59338a8) +* Fixed a bug in `DiracTrick` regarding the cyclicity simplifications of traces with chiral projections (thanks to Ula). (4b5ca9bd) +* Fixed a bug in `DiracTrick` regarding wrong anticommutation properties of combinations of chiral projectors (thanks to Ula). (3d446a33) +* Fixed a bug with premature memoization in `ToTFI` (thanks to Philipp Schicho) (88ea81c8) +* Fixed an infinite recursion bug in `PaVe` (thanks to Xiaonu Xiong). (c4c0c644) +* Fixed a bug where `DiracSimplify` was ignoring products of `D`-dimensional spinors (thanks to James McKay). (46710a7e) +* Fixed a minor bug in `EpsEvaluate` (thanks to Pablo Sanchez Puertas). (5f3031ee) +* Fixed a bug that `SP[p]=p2` was not setting the value of `SP[p,p]` likeweise for `CSP` and other dimensions. (233af78a) +* Fixed a bug with `DiracTrace` ignoring the change of `$LeviCivitaSign` (thanks to James G.). (e1553275) +* Fixed a small bug in `Uncontract`. (d6eb09eb) +* Fixed a small bug in the definition of `Eps`. (1797ce4f) +* Small fix in `SetMandelstam` for more than 4 momenta. (4abb8e06) +* Fixed a small bug in `MomentumCombine`. (2b64ab92) +* Fixed two example files to work with `FeynArts` using unitarity gauge. (e70fc629) +* Fixed a bug in `FCRenameDummyIndices` (thanks to Luigi Delle Rose). (4853e427) +* Fixed a bug in `ChangeDimension` related to `Eps` tensors. (1cf89752) +* Fixed a bug with missing `DiracSigmaExplicit` in DiracTrace (Issue #23, thanks to sbilmis). (341e27ea) +* Fixed a bug in `Contract` related to the BMHV scheme (thanks to H.Patel). (88739e50) +* Small fix for `PD` in `FCE` and `FCI`. (9811355c) +* Minor fixes in `MomentumExpand`, `FourDivergence`, `ToTFI`, `FCLoopBasis` and `NPointTo4Point`. (f136eaad) +* Minor fix in `FCPrepareFAAmp`. (e065592f) +* Fixed a bug in the new definition of `Pair`. (b9e787ad) +* Fixed a bug in `MomentumCombine`. (867bf9f3) +* Small fix in `Contract`. (b7e3bd13) +* Fixed a bug with `PropagatorDenominator[0,0]` (c6335b6e) +* Blocked some malformed `Pair` arguments. (6376f481) +* Fixed premature memoization in `ToPaVe` (thanks to Michael Park, ). (b78c3c4c) +* Improved `PaVe` to block functions that have wrong number of kinematic invariants. (a2f7280c) +* Improved typesetting of four vectors raised to powers. (6947b64d) +* Fixed `FCCanonicalizeDummyIndices` not canonicalizing some combinations of dummy indices. (381d019a) +* Fixed a bug in `OneLoop` when the number of propagators is too high (thanks to Jongping Hsu). (cf9da445) +* Fixed a small bug in the definition of scaleless `PaVe`s (2528ca9b) +* Fixed wrong definiton of `E0` in ToPaVe. (41ca39d5) +* Fixed a bug related to `$KeepLogDivergentScalelessIntegrals`. (0ea126eb) +* Fixed an infinite recursion bug in the symmetry of `D`-functions. (8aca4503) +* Fixed a bug in `FCReplaceD`. (2ad3c226) +* Fixed a bug in `DiracTrick` (related to issue #18). (468d9627) +* Fixed a bug in `DotSimplify` (related to issue #18). (a5670f24) +* Fixed an infinite recursion bug with `B0`. (59618b02) +* Blocked further wrong/inconsistent arguments for `GA`, `GAD`, `GAE`, `GS`, `GSD`, `GSE`, `DiracGamma`, `DiracMatrix` and `DiracSlash`. (7e95dc01) +* Fixed incorrect behavior of `DiracMatrix[mu,nu,...]`. (f988e5a7) +* Fixed another bug in `ApartFF` (thanks again to Zhang Shao Wu). (5b98e326) +* Fixed issue #19 (Documentation doesn't work until restart). Thanks to Szabolcs Horvát. (d399819e) +* Fixed a bug in `ApartFF` (thanks to Zhang Shao Wu). (6d77c2e1) +* Fixed a small bug in `OneLoop` related to terms free of loop integrals. (a484bc08) +* Fixed remaining issue with `FAD[{0,0}]` (c4a9b299) + ### Version 9.2.0 (November 2016) #### Important changes From 78ebd79d984b5dc521f17b82af252fe308d24322 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 20 Jun 2020 19:42:30 +0200 Subject: [PATCH 85/86] Fixed a unit test. --- Tests/Shared/CacheManagement.test | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Tests/Shared/CacheManagement.test b/Tests/Shared/CacheManagement.test index e3d913a61..902126f92 100644 --- a/Tests/Shared/CacheManagement.test +++ b/Tests/Shared/CacheManagement.test @@ -21,7 +21,7 @@ Tests`Shared`fcstCacheManagement = { {"fcstCacheManagement-ID4","FCClearScalarProducts[] \n FCUseCache[ExpandScalarProduct, {SP[a + b, c + d]}, {Momentum -> {e}}] // FCE", "SP[a + b, c + d]"}, {"fcstCacheManagement-ID5","FCClearScalarProducts[] \n ((Table[FCUseCache[ - ExpandScalarProduct, {SP[a + b + c (d + e), c + e + 2 (h + j)]}], {i, 1, 10000}] // AbsoluteTiming)[[1]] < 2.0 || $VersionNumber<10.)", "True"}, + ExpandScalarProduct, {SP[a + b + c (d + e), c + e + 2 (h + j)]}], {i, 1, 10000}] // AbsoluteTiming)[[1]] < 3.0 || $VersionNumber<10.)", "True"}, {"fcstCacheManagement-ID6","FCClearCache[ExpandScalarProduct] \n FCShowCache[ExpandScalarProduct]", "{}"} }; From 5a0396ccf7ddd546a83fe5724d558034e041c026 Mon Sep 17 00:00:00 2001 From: Vladyslav Shtabovenko Date: Sat, 20 Jun 2020 19:42:41 +0200 Subject: [PATCH 86/86] Rebuilt documentation. --- FeynCalc/DocOutput/English/Guides/FeynCalc.nb | 714 +- FeynCalc/DocOutput/English/Index/_0.cfs | Bin 2509931 -> 2747604 bytes FeynCalc/DocOutput/English/Index/segments_3 | Bin 41 -> 41 bytes .../English/ReferencePages/Symbols/$AL.nb | 69 +- .../ReferencePages/Symbols/$Abbreviations.nb | 10 +- .../ReferencePages/Symbols/$BreitMaison.nb | 10 +- .../Symbols/$FCMemoryAvailable.nb | 45 +- .../English/ReferencePages/Symbols/$FCS.nb | 50 +- .../ReferencePages/Symbols/$FCShowIEta.nb | 57 +- .../English/ReferencePages/Symbols/$FCT.nb | 61 +- .../Symbols/$FCTraditionalFormOutput.nb | 33 +- .../Symbols/$FeynCalcVersion.nb | 47 +- .../Symbols/$FortranContinuationCharacter.nb | 47 +- .../English/ReferencePages/Symbols/$Gauge.nb | 10 +- .../English/ReferencePages/Symbols/$Larin.nb | 10 +- .../ReferencePages/Symbols/$LeviCivitaSign.nb | 51 +- .../ReferencePages/Symbols/$LimitTo4.nb | 27 +- .../ReferencePages/Symbols/$LoadAddOns.nb | 10 +- .../ReferencePages/Symbols/$MIntegrate.nb | 33 +- .../English/ReferencePages/Symbols/$MU.nb | 53 +- .../ReferencePages/Symbols/$NonComm.nb | 29 +- .../Symbols/$RenameFeynCalcObjects.nb | 10 +- .../ReferencePages/Symbols/$VeryVerbose.nb | 103 +- .../English/ReferencePages/Symbols/A0.nb | 94 +- .../English/ReferencePages/Symbols/A0ToB0.nb | 50 +- .../ReferencePages/Symbols/Abbreviation.nb | 24 +- .../English/ReferencePages/Symbols/AlphaFS.nb | 53 +- .../ReferencePages/Symbols/AlphaStrong.nb | 54 +- .../ReferencePages/Symbols/Amplitude.nb | 54 +- .../ReferencePages/Symbols/Amputate.nb | 58 +- .../Symbols/AnomalousDimension.nb | 64 +- .../English/ReferencePages/Symbols/Anti5.nb | 134 +- .../ReferencePages/Symbols/AntiCommutator.nb | 132 +- .../ReferencePages/Symbols/AntiQuarkField.nb | 26 +- .../English/ReferencePages/Symbols/Apart1.nb | 4 +- .../English/ReferencePages/Symbols/Apart2.nb | 346 +- .../English/ReferencePages/Symbols/Apart3.nb | 4 +- .../English/ReferencePages/Symbols/ApartFF.nb | 1559 +- .../English/ReferencePages/Symbols/B0.nb | 83 +- .../English/ReferencePages/Symbols/B00.nb | 26 +- .../English/ReferencePages/Symbols/B0Real.nb | 65 +- .../ReferencePages/Symbols/B0Unique.nb | 28 +- .../English/ReferencePages/Symbols/B1.nb | 113 +- .../English/ReferencePages/Symbols/B11.nb | 35 +- .../English/ReferencePages/Symbols/BReduce.nb | 64 +- .../Symbols/BackgroundGluonVertex.nb | 94 +- .../English/ReferencePages/Symbols/Bracket.nb | 4 +- .../English/ReferencePages/Symbols/C0.nb | 26 +- .../English/ReferencePages/Symbols/CA.nb | 18 +- .../English/ReferencePages/Symbols/CF.nb | 75 +- .../English/ReferencePages/Symbols/CFAD.nb | 28 +- .../English/ReferencePages/Symbols/CGA.nb | 16 +- .../English/ReferencePages/Symbols/CGAD.nb | 29 +- .../English/ReferencePages/Symbols/CGAE.nb | 16 +- .../English/ReferencePages/Symbols/CGS.nb | 85 +- .../English/ReferencePages/Symbols/CGSD.nb | 37 +- .../English/ReferencePages/Symbols/CGSE.nb | 29 +- .../English/ReferencePages/Symbols/CLC.nb | 63 +- .../English/ReferencePages/Symbols/CLCD.nb | 65 +- .../English/ReferencePages/Symbols/CSI.nb | 80 +- .../English/ReferencePages/Symbols/CSID.nb | 33 +- .../English/ReferencePages/Symbols/CSIE.nb | 81 +- .../English/ReferencePages/Symbols/CSIS.nb | 75 +- .../English/ReferencePages/Symbols/CSISD.nb | 73 +- .../English/ReferencePages/Symbols/CSISE.nb | 31 +- .../English/ReferencePages/Symbols/CSP.nb | 97 +- .../English/ReferencePages/Symbols/CSPD.nb | 29 +- .../English/ReferencePages/Symbols/CSPE.nb | 111 +- .../English/ReferencePages/Symbols/CTdec.nb | 678 +- .../English/ReferencePages/Symbols/CV.nb | 29 +- .../English/ReferencePages/Symbols/CVD.nb | 58 +- .../English/ReferencePages/Symbols/CVE.nb | 59 +- .../English/ReferencePages/Symbols/Calc.nb | 47 +- .../ReferencePages/Symbols/CalcColorFactor.nb | 67 +- .../Symbols/CalculateCounterTerm.nb | 29 +- .../ReferencePages/Symbols/CartesianIndex.nb | 27 +- .../Symbols/CartesianMomentum.nb | 130 +- .../ReferencePages/Symbols/CartesianPair.nb | 179 +- .../Symbols/CartesianPropagatorDenominator.nb | 49 +- .../Symbols/CartesianScalarProduct.nb | 133 +- .../Symbols/CartesianToLorentz.nb | 66 +- .../English/ReferencePages/Symbols/Cases2.nb | 69 +- .../ReferencePages/Symbols/ChangeDimension.nb | 41 +- .../English/ReferencePages/Symbols/CheckDB.nb | 104 +- .../Symbols/ChiralityProjector.nb | 85 +- .../ReferencePages/Symbols/Chisholm.nb | 442 +- .../ReferencePages/Symbols/Collect2.nb | 151 +- .../ReferencePages/Symbols/Collect3.nb | 66 +- .../ReferencePages/Symbols/Collecting.nb | 10 +- .../English/ReferencePages/Symbols/Combine.nb | 50 +- .../ReferencePages/Symbols/CombineGraphs.nb | 10 +- .../ReferencePages/Symbols/Commutator.nb | 51 +- .../Symbols/CommutatorExplicit.nb | 49 +- .../ReferencePages/Symbols/Complement1.nb | 35 +- .../ReferencePages/Symbols/CompleteSquare.nb | 37 +- .../Symbols/ComplexConjugate.nb | 156 +- .../ReferencePages/Symbols/Contract.nb | 287 +- .../ReferencePages/Symbols/Convolute.nb | 256 +- .../ReferencePages/Symbols/ConvoluteTable.nb | 85 +- .../ReferencePages/Symbols/CounterT.nb | 26 +- .../ReferencePages/Symbols/CounterTerm.nb | 67 +- .../Symbols/CouplingConstant.nb | 4 +- .../ReferencePages/Symbols/CovariantD.nb | 186 +- .../Symbols/CovariantFieldDerivative.nb | 53 +- .../English/ReferencePages/Symbols/D0.nb | 64 +- .../ReferencePages/Symbols/D0Convention.nb | 10 +- .../English/ReferencePages/Symbols/DB0.nb | 37 +- .../English/ReferencePages/Symbols/DB1.nb | 53 +- .../English/ReferencePages/Symbols/DCHN.nb | 98 +- .../English/ReferencePages/Symbols/DIDelta.nb | 91 +- .../English/ReferencePages/Symbols/DOT.nb | 4 +- .../ReferencePages/Symbols/DataType.nb | 44 +- .../ReferencePages/Symbols/DeclareFCTensor.nb | 48 +- .../Symbols/DeclareNonCommutative.nb | 87 +- .../ReferencePages/Symbols/DeltaFunction.nb | 85 +- .../Symbols/DeltaFunctionDoublePrime.nb | 4 +- .../Symbols/DeltaFunctionPrime.nb | 33 +- .../ReferencePages/Symbols/Dimension.nb | 54 +- .../ReferencePages/Symbols/DiracBasis.nb | 4 +- .../ReferencePages/Symbols/DiracChain.nb | 89 +- .../Symbols/DiracChainCombine.nb | 63 +- .../Symbols/DiracChainExpand.nb | 41 +- .../Symbols/DiracChainFactor.nb | 45 +- .../ReferencePages/Symbols/DiracChainJoin.nb | 65 +- .../ReferencePages/Symbols/DiracEquation.nb | 81 +- .../ReferencePages/Symbols/DiracGamma.nb | 156 +- .../Symbols/DiracGammaCombine.nb | 107 +- .../Symbols/DiracGammaExpand.nb | 129 +- .../ReferencePages/Symbols/DiracIndex.nb | 85 +- .../ReferencePages/Symbols/DiracIndexDelta.nb | 81 +- .../ReferencePages/Symbols/DiracMatrix.nb | 94 +- .../ReferencePages/Symbols/DiracOrder.nb | 47 +- .../ReferencePages/Symbols/DiracReduce.nb | 455 +- .../ReferencePages/Symbols/DiracSigma.nb | 89 +- .../Symbols/DiracSigmaExpand.nb | 97 +- .../Symbols/DiracSigmaExplicit.nb | 75 +- .../ReferencePages/Symbols/DiracSimplify.nb | 1906 +- .../ReferencePages/Symbols/DiracSlash.nb | 91 +- .../Symbols/DiracSubstitute5.nb | 34 +- .../Symbols/DiracSubstitute67.nb | 45 +- .../ReferencePages/Symbols/DiracTrace.nb | 2005 +- .../Symbols/DiracTraceEvaluate.nb | 4 +- .../ReferencePages/Symbols/DiracTrick.nb | 104 +- .../ReferencePages/Symbols/Divideout.nb | 4 +- .../Symbols/DoPolarizationSums.nb | 133 +- .../ReferencePages/Symbols/DotExpand.nb | 80 +- .../ReferencePages/Symbols/DotPower.nb | 4 +- .../ReferencePages/Symbols/DotSimplify.nb | 180 +- .../Symbols/DotSimplifyRelations.nb | 10 +- .../ReferencePages/Symbols/DummyIndex.nb | 10 +- .../ReferencePages/Symbols/DummyIndexFreeQ.nb | 75 +- .../English/ReferencePages/Symbols/Eps.nb | 134 +- .../ReferencePages/Symbols/EpsChisholm.nb | 57 +- .../ReferencePages/Symbols/EpsContract.nb | 30 +- .../Symbols/EpsContractFreeQ.nb | 54 +- .../ReferencePages/Symbols/EpsDiscard.nb | 10 +- .../ReferencePages/Symbols/EpsEvaluate.nb | 26 +- .../English/ReferencePages/Symbols/Epsilon.nb | 65 +- .../ReferencePages/Symbols/EpsilonIR.nb | 53 +- .../ReferencePages/Symbols/EpsilonOrder.nb | 4 +- .../ReferencePages/Symbols/EpsilonUV.nb | 41 +- .../English/ReferencePages/Symbols/Expand2.nb | 57 +- .../ReferencePages/Symbols/ExpandAll2.nb | 59 +- .../ReferencePages/Symbols/ExpandPartialD.nb | 142 +- .../Symbols/ExpandScalarProduct.nb | 54 +- .../ReferencePages/Symbols/Expanding.nb | 4 +- .../ReferencePages/Symbols/Explicit.nb | 93 +- .../Symbols/ExplicitDiracIndex.nb | 53 +- .../Symbols/ExplicitLorentzIndex.nb | 31 +- .../Symbols/ExplicitPartialD.nb | 95 +- .../Symbols/ExplicitSUNFIndex.nb | 29 +- .../Symbols/ExplicitSUNIndex.nb | 46 +- .../ReferencePages/Symbols/ExtraFactor.nb | 4 +- .../ReferencePages/Symbols/ExtraVariables.nb | 4 +- .../English/ReferencePages/Symbols/FAD.nb | 95 +- .../English/ReferencePages/Symbols/FAPatch.nb | 4 +- .../English/ReferencePages/Symbols/FC.nb | 29 +- .../English/ReferencePages/Symbols/FC2RHI.nb | 43 +- .../English/ReferencePages/Symbols/FC2TLI.nb | 20 +- .../ReferencePages/Symbols/FCAbbreviate.nb | 65 +- .../Symbols/FCAntiSymmetrize.nb | 59 +- .../English/ReferencePages/Symbols/FCApart.nb | 214 +- .../Symbols/FCAttachTypesettingRule.nb | 590 + .../English/ReferencePages/Symbols/FCCCT.nb | 10 +- .../Symbols/FCCanonicalizeDummyIndices.nb | 49 +- .../Symbols/FCChargeConjugateTransposed.nb | 80 +- .../ReferencePages/Symbols/FCCheckSyntax.nb | 57 +- .../ReferencePages/Symbols/FCCheckVersion.nb | 12 +- .../Symbols/FCClearScalarProducts.nb | 37 +- .../ReferencePages/Symbols/FCColorIsolate.nb | 75 +- .../Symbols/FCCompareResults.nb | 63 +- .../ReferencePages/Symbols/FCDiracIsolate.nb | 62 +- .../Symbols/FCDisableTraditionalFormOutput.nb | 51 +- .../Symbols/FCDuplicateFreeQ.nb | 27 +- .../English/ReferencePages/Symbols/FCE.nb | 111 +- .../Symbols/FCEnableTraditionalFormOutput.nb | 51 +- .../English/ReferencePages/Symbols/FCF.nb | 20 +- .../ReferencePages/Symbols/FCFAConvert.nb | 43 +- .../Symbols/FCFADiracChainJoin.nb | 68 +- .../ReferencePages/Symbols/FCFactorOut.nb | 35 +- .../ReferencePages/Symbols/FCGetDimensions.nb | 59 +- .../Symbols/FCGetDiracGammaScheme.nb | 67 +- .../Symbols/FCGetMetricSignature.nb | 49 +- .../Symbols/FCGetNotebookDirectory.nb | 10 +- .../Symbols/FCGetPauliSigmaScheme.nb | 29 +- .../Symbols/FCGramDeterminant.nb | 59 +- .../ReferencePages/Symbols/FCGramMatrix.nb | 33 +- .../ReferencePages/Symbols/FCHideEpsilon.nb | 65 +- .../English/ReferencePages/Symbols/FCI.nb | 35 +- .../ReferencePages/Symbols/FCIntegral.nb | 4 +- .../ReferencePages/Symbols/FCIntegrate.nb | 4 +- .../FCLoopBasisCreateScalarProducts.nb | 61 +- .../Symbols/FCLoopBasisExtract.nb | 55 +- .../Symbols/FCLoopBasisFindCompletion.nb | 79 +- .../Symbols/FCLoopBasisGetSize.nb | 57 +- .../Symbols/FCLoopBasisIncompleteQ.nb | 45 +- .../FCLoopBasisIntegralToPropagators.nb | 73 +- .../Symbols/FCLoopBasisOverdeterminedQ.nb | 61 +- .../FCLoopBasisPropagatorsToTopology.nb | 65 +- .../Symbols/FCLoopBasisSplit.nb | 63 +- .../Symbols/FCLoopCanonicalize.nb | 45 +- .../Symbols/FCLoopEikonalPropagatorFreeQ.nb | 45 +- .../ReferencePages/Symbols/FCLoopExtract.nb | 57 +- .../Symbols/FCLoopIBPReducableQ.nb | 48 +- .../ReferencePages/Symbols/FCLoopIsolate.nb | 92 +- .../Symbols/FCLoopMixedIntegralQ.nb | 55 +- .../FCLoopMixedToCartesianAndTemporal.nb | 31 +- .../FCLoopNonIntegerPropagatorPowersFreeQ.nb | 61 +- .../FCLoopNonIntegerPropagatorsFreeQ.nb | 33 +- .../Symbols/FCLoopPropagatorPowersCombine.nb | 43 +- .../Symbols/FCLoopPropagatorPowersExpand.nb | 63 +- .../FCLoopRemoveNegativePropagatorPowers.nb | 69 +- .../Symbols/FCLoopSamePropagatorHeadsQ.nb | 53 +- .../Symbols/FCLoopSolutionList.nb | 57 +- .../ReferencePages/Symbols/FCLoopSplit.nb | 57 +- .../ReferencePages/Symbols/FCMakeIndex.nb | 33 +- .../ReferencePages/Symbols/FCMatrixIsolate.nb | 53 +- .../Symbols/FCMemoryAvailable.nb | 10 +- .../ReferencePages/Symbols/FCMultiLoopTID.nb | 419 +- .../ReferencePages/Symbols/FCNIntegrate.nb | 10 +- .../ReferencePages/Symbols/FCPartialD.nb | 28 +- .../ReferencePages/Symbols/FCPatternFreeQ.nb | 47 +- .../ReferencePages/Symbols/FCPauliIsolate.nb | 43 +- .../Symbols/FCPermuteMomentaRules.nb | 49 +- .../ReferencePages/Symbols/FCPrepareFAAmp.nb | 69 +- .../ReferencePages/Symbols/FCProductSplit.nb | 61 +- .../ReferencePages/Symbols/FCProgressBar.nb | 12 +- .../Symbols/FCRemoveTypesettingRules.nb | 335 + .../Symbols/FCRenameDummyIndices.nb | 75 +- .../ReferencePages/Symbols/FCReplaceAll.nb | 49 +- .../ReferencePages/Symbols/FCReplaceD.nb | 69 +- .../Symbols/FCReplaceMomenta.nb | 69 +- .../Symbols/FCReplaceRepeated.nb | 55 +- .../Symbols/FCRerouteMomenta.nb | 51 +- .../Symbols/FCSchoutenBruteForce.nb | 55 +- .../Symbols/FCSetDiracGammaScheme.nb | 334 +- .../Symbols/FCSetMetricSignature.nb | 25 +- .../Symbols/FCSetPauliSigmaScheme.nb | 97 +- .../ReferencePages/Symbols/FCShowEpsilon.nb | 67 +- .../Symbols/FCShowReferenceCard.nb | 43 +- .../English/ReferencePages/Symbols/FCSplit.nb | 57 +- .../ReferencePages/Symbols/FCSubsetQ.nb | 25 +- .../ReferencePages/Symbols/FCSymmetrize.nb | 61 +- .../ReferencePages/Symbols/FCTopology.nb | 51 +- .../ReferencePages/Symbols/FCTraceExpand.nb | 97 +- .../ReferencePages/Symbols/FCTraceFactor.nb | 56 +- .../ReferencePages/Symbols/FCVariable.nb | 27 +- .../English/ReferencePages/Symbols/FDS.nb | 4 +- .../English/ReferencePages/Symbols/FI.nb | 4 +- .../English/ReferencePages/Symbols/FORM.nb | 10 +- .../ReferencePages/Symbols/FORM2FeynCalc.nb | 140 +- .../ReferencePages/Symbols/FORMEpilog.nb | 10 +- .../ReferencePages/Symbols/FORMProlog.nb | 10 +- .../English/ReferencePages/Symbols/FRH.nb | 77 +- .../ReferencePages/Symbols/FUNCTION.nb | 4 +- .../English/ReferencePages/Symbols/FV.nb | 74 +- .../English/ReferencePages/Symbols/FVD.nb | 90 +- .../English/ReferencePages/Symbols/FVE.nb | 24 +- .../English/ReferencePages/Symbols/Factor1.nb | 85 +- .../English/ReferencePages/Symbols/Factor2.nb | 47 +- .../ReferencePages/Symbols/FactorFull.nb | 4 +- .../ReferencePages/Symbols/Factoring.nb | 4 +- .../ReferencePages/Symbols/Factorout.nb | 4 +- .../ReferencePages/Symbols/FermionSpinSum.nb | 115 +- .../English/ReferencePages/Symbols/FeynAmp.nb | 36 +- .../Symbols/FeynAmpDenominator.nb | 178 +- .../Symbols/FeynAmpDenominatorCombine.nb | 79 +- .../Symbols/FeynAmpDenominatorExplicit.nb | 71 +- .../Symbols/FeynAmpDenominatorSimplify.nb | 123 +- .../Symbols/FeynAmpDenominatorSplit.nb | 88 +- .../ReferencePages/Symbols/FeynAmpList.nb | 4 +- .../ReferencePages/Symbols/FeynCalc.nb | 4 +- .../ReferencePages/Symbols/FeynCalc2FORM.nb | 333 +- .../Symbols/FeynCalcExternal.nb | 99 +- .../ReferencePages/Symbols/FeynCalcForm.nb | 35 +- .../Symbols/FeynCalcInternal.nb | 103 +- .../ReferencePages/Symbols/FeynCalcToLaTeX.nb | 4 +- .../ReferencePages/Symbols/FeynRule.nb | 32 +- .../Symbols/FeynmanDoIntegrals.nb | 10 +- .../Symbols/FeynmanParameterNames.nb | 4 +- .../Symbols/FeynmanParametrize.nb | 18 +- .../Symbols/FeynmanParametrize1.nb | 21 +- .../ReferencePages/Symbols/FeynmanReduce.nb | 32 +- .../ReferencePages/Symbols/FieldDerivative.nb | 47 +- .../ReferencePages/Symbols/FieldStrength.nb | 30 +- .../ReferencePages/Symbols/FinalFunction.nb | 4 +- .../Symbols/FinalSubstitutions.nb | 4 +- .../ReferencePages/Symbols/FourDivergence.nb | 97 +- .../ReferencePages/Symbols/FourLaplacian.nb | 86 +- .../ReferencePages/Symbols/FourVector.nb | 47 +- .../ReferencePages/Symbols/FreeIndex.nb | 4 +- .../ReferencePages/Symbols/FreeIndexFreeQ.nb | 71 +- .../English/ReferencePages/Symbols/FreeQ2.nb | 72 +- .../English/ReferencePages/Symbols/FromTFI.nb | 46 +- .../ReferencePages/Symbols/FunctionalD.nb | 33 +- .../English/ReferencePages/Symbols/GA.nb | 29 +- .../English/ReferencePages/Symbols/GA5.nb | 59 +- .../English/ReferencePages/Symbols/GAD.nb | 88 +- .../English/ReferencePages/Symbols/GAE.nb | 125 +- .../English/ReferencePages/Symbols/GFAD.nb | 47 +- .../English/ReferencePages/Symbols/GGV.nb | 4 +- .../English/ReferencePages/Symbols/GHP.nb | 77 +- .../English/ReferencePages/Symbols/GO.nb | 4 +- .../English/ReferencePages/Symbols/GP.nb | 4 +- .../English/ReferencePages/Symbols/GS.nb | 16 +- .../English/ReferencePages/Symbols/GSD.nb | 43 +- .../English/ReferencePages/Symbols/GSE.nb | 103 +- .../English/ReferencePages/Symbols/GTI.nb | 4 +- .../English/ReferencePages/Symbols/GV.nb | 4 +- .../English/ReferencePages/Symbols/Gamma1.nb | 4 +- .../English/ReferencePages/Symbols/Gamma2.nb | 4 +- .../English/ReferencePages/Symbols/Gamma3.nb | 4 +- .../ReferencePages/Symbols/GammaEpsilon.nb | 79 +- .../ReferencePages/Symbols/GammaExpand.nb | 65 +- .../English/ReferencePages/Symbols/Gauge.nb | 4 +- .../ReferencePages/Symbols/GaugeField.nb | 61 +- .../English/ReferencePages/Symbols/GaugeXi.nb | 4 +- .../English/ReferencePages/Symbols/GenPaVe.nb | 49 +- .../Symbols/GenericPropagatorDenominator.nb | 25 +- .../ReferencePages/Symbols/GhostPropagator.nb | 80 +- .../ReferencePages/Symbols/GluonField.nb | 63 +- .../Symbols/GluonGhostVertex.nb | 57 +- .../ReferencePages/Symbols/GluonPropagator.nb | 51 +- .../ReferencePages/Symbols/GluonSelfEnergy.nb | 67 +- .../ReferencePages/Symbols/GluonVertex.nb | 119 +- .../ReferencePages/Symbols/GrassmannParity.nb | 4 +- .../English/ReferencePages/Symbols/Gstrong.nb | 65 +- .../English/ReferencePages/Symbols/Hill.nb | 28 +- .../ReferencePages/Symbols/HypExplicit.nb | 68 +- .../English/ReferencePages/Symbols/HypInt.nb | 48 +- .../Symbols/HypergeometricAC.nb | 103 +- .../Symbols/HypergeometricIR.nb | 80 +- .../Symbols/HypergeometricSE.nb | 75 +- .../English/ReferencePages/Symbols/IFPD.nb | 4 +- .../English/ReferencePages/Symbols/IFPDOff.nb | 72 +- .../English/ReferencePages/Symbols/IFPDOn.nb | 4 +- .../ReferencePages/Symbols/IncludePair.nb | 4 +- .../ReferencePages/Symbols/IndexPosition.nb | 10 +- .../ReferencePages/Symbols/InitialFunction.nb | 10 +- .../Symbols/InitialSubstitutions.nb | 4 +- .../Symbols/InsideDiracTrace.nb | 4 +- .../ReferencePages/Symbols/IntegralTable.nb | 4 +- .../ReferencePages/Symbols/Integrate2.nb | 316 +- .../ReferencePages/Symbols/Integrate3.nb | 84 +- .../ReferencePages/Symbols/Integrate4.nb | 4 +- .../ReferencePages/Symbols/Integrate5.nb | 4 +- .../Symbols/IntegrateByParts.nb | 51 +- .../ReferencePages/Symbols/Integratedx.nb | 10 +- .../Symbols/IntermediateSubstitutions.nb | 10 +- .../ReferencePages/Symbols/InverseMellin.nb | 241 +- .../English/ReferencePages/Symbols/Isolate.nb | 125 +- .../ReferencePages/Symbols/IsolateNames.nb | 4 +- .../ReferencePages/Symbols/IsolatePrint.nb | 4 +- .../ReferencePages/Symbols/IsolateSplit.nb | 4 +- .../English/ReferencePages/Symbols/KD.nb | 78 +- .../English/ReferencePages/Symbols/KDD.nb | 31 +- .../English/ReferencePages/Symbols/KDE.nb | 81 +- .../English/ReferencePages/Symbols/KK.nb | 4 +- .../English/ReferencePages/Symbols/Kummer.nb | 44 +- .../English/ReferencePages/Symbols/LC.nb | 91 +- .../English/ReferencePages/Symbols/LCD.nb | 43 +- .../ReferencePages/Symbols/Lagrangian.nb | 83 +- .../ReferencePages/Symbols/LeftPartialD.nb | 35 +- .../Symbols/LeftRightPartialD.nb | 84 +- .../Symbols/LeftRightPartialD2.nb | 97 +- .../ReferencePages/Symbols/LeviCivita.nb | 133 +- .../English/ReferencePages/Symbols/Li2.nb | 27 +- .../English/ReferencePages/Symbols/Li3.nb | 75 +- .../English/ReferencePages/Symbols/Li4.nb | 44 +- .../English/ReferencePages/Symbols/Loop.nb | 4 +- .../ReferencePages/Symbols/LorentzIndex.nb | 54 +- .../Symbols/LorentzToCartesian.nb | 61 +- .../English/ReferencePages/Symbols/MLimit.nb | 47 +- .../English/ReferencePages/Symbols/MT.nb | 37 +- .../English/ReferencePages/Symbols/MTD.nb | 31 +- .../English/ReferencePages/Symbols/MTE.nb | 107 +- .../ReferencePages/Symbols/Mandelstam.nb | 4 +- .../English/ReferencePages/Symbols/Map2.nb | 71 +- .../English/ReferencePages/Symbols/MemSet.nb | 4 +- .../ReferencePages/Symbols/MetricTensor.nb | 113 +- .../ReferencePages/Symbols/Momentum.nb | 129 +- .../ReferencePages/Symbols/MomentumCombine.nb | 105 +- .../ReferencePages/Symbols/MomentumExpand.nb | 103 +- .../ReferencePages/Symbols/NPointTo4Point.nb | 11947 +-- .../English/ReferencePages/Symbols/NTerms.nb | 37 +- .../ReferencePages/Symbols/NegativeInteger.nb | 4 +- .../English/ReferencePages/Symbols/Nf.nb | 4 +- .../English/ReferencePages/Symbols/Nielsen.nb | 113 +- .../ReferencePages/Symbols/NonCommFreeQ.nb | 4 +- .../ReferencePages/Symbols/NonCommQ.nb | 4 +- .../ReferencePages/Symbols/NonCommutative.nb | 4 +- .../ReferencePages/Symbols/NumericQ1.nb | 58 +- .../ReferencePages/Symbols/NumericalFactor.nb | 10 +- .../English/ReferencePages/Symbols/OPE.nb | 4 +- .../ReferencePages/Symbols/OPE1Loop.nb | 10 +- .../English/ReferencePages/Symbols/OPE2TID.nb | 18 +- .../ReferencePages/Symbols/OPEDelta.nb | 27 +- .../English/ReferencePages/Symbols/OPEInt.nb | 4 +- .../ReferencePages/Symbols/OPEIntegrate.nb | 37 +- .../Symbols/OPEIntegrateDelta.nb | 4 +- .../English/ReferencePages/Symbols/OPESum.nb | 29 +- .../ReferencePages/Symbols/OPESumExplicit.nb | 89 +- .../ReferencePages/Symbols/OPESumSimplify.nb | 88 +- .../English/ReferencePages/Symbols/OPEi.nb | 84 +- .../English/ReferencePages/Symbols/OneLoop.nb | 93 +- .../ReferencePages/Symbols/OneLoopSimplify.nb | 846 +- .../ReferencePages/Symbols/OneLoopSum.nb | 10 +- .../ReferencePages/Symbols/OptionsSelect.nb | 4 +- .../English/ReferencePages/Symbols/PD.nb | 10 +- .../English/ReferencePages/Symbols/PaVe.nb | 51 +- .../ReferencePages/Symbols/PaVeOrder.nb | 35 +- .../ReferencePages/Symbols/PaVeOrderList.nb | 10 +- .../ReferencePages/Symbols/PaVeReduce.nb | 116 +- .../ReferencePages/Symbols/PaVeUVPart.nb | 292 +- .../English/ReferencePages/Symbols/Pair.nb | 29 +- .../ReferencePages/Symbols/PairCollect.nb | 10 +- .../ReferencePages/Symbols/PairContract.nb | 10 +- .../ReferencePages/Symbols/PairContract2.nb | 10 +- .../ReferencePages/Symbols/PairContract3.nb | 10 +- .../Symbols/PartialDRelations.nb | 35 +- .../Symbols/PartialFourVector.nb | 49 +- .../Symbols/PartialIntegrate.nb | 49 +- .../ReferencePages/Symbols/PartitHead.nb | 10 +- .../ReferencePages/Symbols/PauliEta.nb | 47 +- .../ReferencePages/Symbols/PauliOrder.nb | 77 +- .../ReferencePages/Symbols/PauliSigma.nb | 31 +- .../Symbols/PauliSigmaCombine.nb | 71 +- .../Symbols/PauliSigmaExpand.nb | 41 +- .../ReferencePages/Symbols/PauliSimplify.nb | 358 +- .../ReferencePages/Symbols/PauliTrick.nb | 73 +- .../English/ReferencePages/Symbols/PauliXi.nb | 49 +- .../Symbols/PlusDistribution.nb | 27 +- .../ReferencePages/Symbols/Polarization.nb | 101 +- .../ReferencePages/Symbols/PolarizationSum.nb | 99 +- .../Symbols/PolarizationVector.nb | 365 +- .../ReferencePages/Symbols/PositiveInteger.nb | 10 +- .../ReferencePages/Symbols/PositiveNumber.nb | 10 +- .../ReferencePages/Symbols/PostFortranFile.nb | 10 +- .../English/ReferencePages/Symbols/Power2.nb | 26 +- .../ReferencePages/Symbols/PowerFactor.nb | 27 +- .../ReferencePages/Symbols/PowerSimplify.nb | 29 +- .../ReferencePages/Symbols/PreFortranFile.nb | 10 +- .../ReferencePages/Symbols/Prefactor.nb | 10 +- .../Symbols/PropagatorDenominator.nb | 31 +- .../Symbols/QCDFeynmanRuleConvention.nb | 81 +- .../English/ReferencePages/Symbols/QGV.nb | 10 +- .../English/ReferencePages/Symbols/QO.nb | 10 +- .../English/ReferencePages/Symbols/QP.nb | 12 +- .../ReferencePages/Symbols/QuantumField.nb | 31 +- .../ReferencePages/Symbols/QuarkField.nb | 63 +- .../ReferencePages/Symbols/QuarkFieldChi.nb | 51 +- .../Symbols/QuarkFieldChiDagger.nb | 61 +- .../ReferencePages/Symbols/QuarkFieldPsi.nb | 59 +- .../Symbols/QuarkFieldPsiDagger.nb | 64 +- .../Symbols/QuarkGluonVertex.nb | 111 +- .../ReferencePages/Symbols/QuarkMass.nb | 10 +- .../ReferencePages/Symbols/QuarkPropagator.nb | 71 +- .../English/ReferencePages/Symbols/RHI.nb | 10 +- .../English/ReferencePages/Symbols/RHI2FC.nb | 10 +- .../English/ReferencePages/Symbols/RHM.nb | 10 +- .../English/ReferencePages/Symbols/RHO.nb | 10 +- .../English/ReferencePages/Symbols/RHP.nb | 10 +- .../English/ReferencePages/Symbols/RTL.nb | 10 +- .../ReferencePages/Symbols/ReduceGamma.nb | 10 +- .../ReferencePages/Symbols/ReduceToScalars.nb | 10 +- .../English/ReferencePages/Symbols/Rename.nb | 10 +- .../ReferencePages/Symbols/RightPartialD.nb | 24 +- .../ReferencePages/Symbols/RussianTrick.nb | 41 +- .../English/ReferencePages/Symbols/SD.nb | 31 +- .../English/ReferencePages/Symbols/SDF.nb | 57 +- .../English/ReferencePages/Symbols/SFAD.nb | 67 +- .../English/ReferencePages/Symbols/SI.nb | 30 +- .../English/ReferencePages/Symbols/SID.nb | 31 +- .../English/ReferencePages/Symbols/SIE.nb | 81 +- .../English/ReferencePages/Symbols/SIS.nb | 70 +- .../English/ReferencePages/Symbols/SISD.nb | 75 +- .../English/ReferencePages/Symbols/SISE.nb | 28 +- .../English/ReferencePages/Symbols/SMP.nb | 89 +- .../ReferencePages/Symbols/SMPToSymbol.nb | 56 +- .../ReferencePages/Symbols/SMVertex.nb | 77 +- .../English/ReferencePages/Symbols/SO.nb | 30 +- .../English/ReferencePages/Symbols/SOD.nb | 69 +- .../English/ReferencePages/Symbols/SP.nb | 38 +- .../English/ReferencePages/Symbols/SPC.nb | 10 +- .../English/ReferencePages/Symbols/SPD.nb | 37 +- .../English/ReferencePages/Symbols/SPE.nb | 107 +- .../English/ReferencePages/Symbols/SPL.nb | 10 +- .../English/ReferencePages/Symbols/SUND.nb | 58 +- .../ReferencePages/Symbols/SUNDelta.nb | 35 +- .../Symbols/SUNDeltaContract.nb | 37 +- .../English/ReferencePages/Symbols/SUNF.nb | 165 +- .../ReferencePages/Symbols/SUNFDelta.nb | 96 +- .../Symbols/SUNFDeltaContract.nb | 42 +- .../ReferencePages/Symbols/SUNFIndex.nb | 65 +- .../ReferencePages/Symbols/SUNFJacobi.nb | 59 +- .../ReferencePages/Symbols/SUNFSimplify.nb | 31 +- .../ReferencePages/Symbols/SUNIndex.nb | 72 +- .../ReferencePages/Symbols/SUNIndexRename.nb | 10 +- .../English/ReferencePages/Symbols/SUNN.nb | 29 +- .../ReferencePages/Symbols/SUNNToCACF.nb | 49 +- .../ReferencePages/Symbols/SUNSimplify.nb | 291 +- .../English/ReferencePages/Symbols/SUNT.nb | 145 +- .../English/ReferencePages/Symbols/SUNTF.nb | 75 +- .../ReferencePages/Symbols/SUNTrace.nb | 129 +- .../Symbols/ScalarGluonVertex.nb | 46 +- .../ReferencePages/Symbols/ScalarProduct.nb | 47 +- .../Symbols/ScalarProductCancel.nb | 89 +- .../English/ReferencePages/Symbols/ScaleMu.nb | 41 +- .../ReferencePages/Symbols/Schouten.nb | 75 +- .../ReferencePages/Symbols/SelectFree.nb | 33 +- .../ReferencePages/Symbols/SelectGraphs.nb | 10 +- .../ReferencePages/Symbols/SelectNotFree.nb | 101 +- .../ReferencePages/Symbols/SelectSplit.nb | 46 +- .../English/ReferencePages/Symbols/Series2.nb | 46 +- .../English/ReferencePages/Symbols/Series3.nb | 60 +- .../ReferencePages/Symbols/SetMandelstam.nb | 80 +- .../Symbols/SetTemporalComponent.nb | 55 +- .../ReferencePages/Symbols/Simplify2.nb | 10 +- .../Symbols/SimplifyDeltaFunction.nb | 141 +- .../ReferencePages/Symbols/SimplifyGTI.nb | 10 +- .../ReferencePages/Symbols/SimplifyPolyLog.nb | 191 +- .../ReferencePages/Symbols/SinorUBarD.nb | 10 +- .../ReferencePages/Symbols/SirlinSimplify.nb | 63 +- .../ReferencePages/Symbols/SmallDelta.nb | 10 +- .../ReferencePages/Symbols/SmallEpsilon.nb | 10 +- .../ReferencePages/Symbols/SmallVariable.nb | 10 +- .../ReferencePages/Symbols/SmallVariables.nb | 10 +- .../English/ReferencePages/Symbols/Sn.nb | 10 +- .../English/ReferencePages/Symbols/Solve2.nb | 92 +- .../English/ReferencePages/Symbols/Solve3.nb | 58 +- .../English/ReferencePages/Symbols/Spinor.nb | 202 +- .../Symbols/SpinorChainChiralSplit.nb | 63 +- .../Symbols/SpinorChainTranspose.nb | 79 +- .../Symbols/SpinorChainTrick.nb | 28 +- .../English/ReferencePages/Symbols/SpinorU.nb | 35 +- .../ReferencePages/Symbols/SpinorUBar.nb | 75 +- .../ReferencePages/Symbols/SpinorUBarD.nb | 72 +- .../ReferencePages/Symbols/SpinorUD.nb | 72 +- .../English/ReferencePages/Symbols/SpinorV.nb | 37 +- .../ReferencePages/Symbols/SpinorVBar.nb | 30 +- .../ReferencePages/Symbols/SpinorVBarD.nb | 72 +- .../ReferencePages/Symbols/SpinorVD.nb | 31 +- .../Symbols/SplittingFunction.nb | 259 +- .../ReferencePages/Symbols/SquareAmplitude.nb | 83 +- .../Symbols/StandardMatrixElement.nb | 10 +- .../Symbols/StandardPropagatorDenominator.nb | 28 +- .../ReferencePages/Symbols/StringChomp.nb | 42 +- .../English/ReferencePages/Symbols/SubLoop.nb | 10 +- .../English/ReferencePages/Symbols/SumP.nb | 103 +- .../English/ReferencePages/Symbols/SumS.nb | 167 +- .../English/ReferencePages/Symbols/SumT.nb | 31 +- .../ReferencePages/Symbols/SymbolicSum2.nb | 10 +- .../ReferencePages/Symbols/SymbolicSum3.nb | 10 +- .../English/ReferencePages/Symbols/TBox.nb | 10 +- .../English/ReferencePages/Symbols/TC.nb | 48 +- .../ReferencePages/Symbols/TFIOrder.nb | 53 +- .../English/ReferencePages/Symbols/TGA.nb | 27 +- .../English/ReferencePages/Symbols/TID.nb | 577 +- .../English/ReferencePages/Symbols/TIDL.nb | 10 +- .../English/ReferencePages/Symbols/TLI.nb | 39 +- .../English/ReferencePages/Symbols/TLI2.nb | 10 +- .../English/ReferencePages/Symbols/TLI2FC.nb | 38 +- .../English/ReferencePages/Symbols/TLIFP.nb | 23 +- .../English/ReferencePages/Symbols/TLIHYP.nb | 41 +- .../English/ReferencePages/Symbols/TR.nb | 208 +- .../English/ReferencePages/Symbols/Tdec.nb | 88 +- .../Symbols/TemporalMomentum.nb | 59 +- .../ReferencePages/Symbols/TemporalPair.nb | 25 +- .../ReferencePages/Symbols/TensorFunction.nb | 41 +- .../English/ReferencePages/Symbols/Tf.nb | 10 +- .../ReferencePages/Symbols/ThreeDivergence.nb | 79 +- .../ReferencePages/Symbols/TimedIntegrate.nb | 72 +- .../ReferencePages/Symbols/ToDiracGamma67.nb | 72 +- .../ReferencePages/Symbols/ToDiracSigma.nb | 41 +- .../ReferencePages/Symbols/ToDistribution.nb | 77 +- .../English/ReferencePages/Symbols/ToFI.nb | 10 +- .../Symbols/ToHypergeometric.nb | 72 +- .../English/ReferencePages/Symbols/ToLarin.nb | 66 +- .../English/ReferencePages/Symbols/ToPaVe.nb | 71 +- .../English/ReferencePages/Symbols/ToPaVe2.nb | 61 +- .../English/ReferencePages/Symbols/ToSFAD.nb | 62 +- .../Symbols/ToStandardMatrixElement.nb | 222 +- .../English/ReferencePages/Symbols/ToTFI.nb | 24 +- .../English/ReferencePages/Symbols/Tr2.nb | 21 +- .../ReferencePages/Symbols/TraceDimension.nb | 10 +- .../ReferencePages/Symbols/TraceOfOne.nb | 59 +- .../English/ReferencePages/Symbols/Trick.nb | 91 +- .../ReferencePages/Symbols/TrickIntegrate.nb | 24 +- .../ReferencePages/Symbols/TrickMandelstam.nb | 33 +- .../Symbols/Twist2AlienOperator.nb | 27 +- .../Symbols/Twist2CounterOperator.nb | 29 +- .../Symbols/Twist2GluonOperator.nb | 53 +- .../Symbols/Twist2QuarkOperator.nb | 10 +- .../Symbols/Twist3QuarkOperator.nb | 39 +- .../Symbols/Twist4GluonOperator.nb | 49 +- .../ReferencePages/Symbols/TwoLoopSimplify.nb | 14 +- .../TypesettingExplicitLorentzIndex.nb | 55 +- .../Symbols/UnDeclareAntiCommutator.nb | 53 +- .../Symbols/UnDeclareCommutator.nb | 17 +- .../Symbols/UnDeclareFCTensor.nb | 27 +- .../Symbols/UnDeclareNonCommutative.nb | 44 +- .../ReferencePages/Symbols/Uncontract.nb | 110 +- .../English/ReferencePages/Symbols/Vectors.nb | 10 +- .../English/ReferencePages/Symbols/West.nb | 10 +- .../English/ReferencePages/Symbols/Write2.nb | 46 +- .../ReferencePages/Symbols/WriteOut.nb | 10 +- .../ReferencePages/Symbols/WriteOutPaVe.nb | 10 +- .../English/ReferencePages/Symbols/XYT.nb | 10 +- .../Symbols/ZeroMomentumInsertion.nb | 10 +- .../English/ReferencePages/Symbols/Zeta10.nb | 27 +- .../English/ReferencePages/Symbols/Zeta2.nb | 73 +- .../English/ReferencePages/Symbols/Zeta4.nb | 52 +- .../English/ReferencePages/Symbols/Zeta6.nb | 51 +- .../English/ReferencePages/Symbols/Zeta8.nb | 49 +- FeynCalc/DocOutput/English/SpellIndex/_s.cfs | Bin 0 -> 875811 bytes .../DocOutput/English/SpellIndex/segments.gen | Bin 20 -> 20 bytes .../DocOutput/English/SpellIndex/segments_1n | Bin 0 -> 41 bytes FeynCalc/DocOutput/English/Tutorials/Intro.nb | 67619 +++++++++++++++- 638 files changed, 97331 insertions(+), 26852 deletions(-) create mode 100644 FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAttachTypesettingRule.nb create mode 100644 FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRemoveTypesettingRules.nb create mode 100644 FeynCalc/DocOutput/English/SpellIndex/_s.cfs create mode 100644 FeynCalc/DocOutput/English/SpellIndex/segments_1n diff --git a/FeynCalc/DocOutput/English/Guides/FeynCalc.nb b/FeynCalc/DocOutput/English/Guides/FeynCalc.nb index 57dd534f5..bd86cf101 100644 --- a/FeynCalc/DocOutput/English/Guides/FeynCalc.nb +++ b/FeynCalc/DocOutput/English/Guides/FeynCalc.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 219130, 6920] -NotebookOptionsPosition[ 195011, 6190] -NotebookOutlinePosition[ 196601, 6230] -CellTagsIndexPosition[ 196558, 6227] +NotebookDataLength[ 219981, 6946] +NotebookOptionsPosition[ 195796, 6214] +NotebookOutlinePosition[ 197385, 6254] +CellTagsIndexPosition[ 197342, 6251] WindowTitle->FeynCalc WindowFrame->Normal*) @@ -269,8 +269,10 @@ Cell[BoxData[GridBox[{ Documentation`HelpLookup[ "paclet:FeynCalc/ref/FCAntiSymmetrize"], "\<\"FCApart\"\>":> Documentation`HelpLookup[ - "paclet:FeynCalc/ref/FCApart"], "\<\"FCCanonicalizeDummyIndices\"\>":> + "paclet:FeynCalc/ref/FCApart"], "\<\"FCAttachTypesettingRule\"\>":> Documentation`HelpLookup[ + "paclet:FeynCalc/ref/FCAttachTypesettingRule"], \ +"\<\"FCCanonicalizeDummyIndices\"\>":>Documentation`HelpLookup[ "paclet:FeynCalc/ref/FCCanonicalizeDummyIndices"], "\<\"FCCCT\"\>":> Documentation`HelpLookup[ "paclet:FeynCalc/ref/FCCCT"], "\<\"FCChargeConjugateTransposed\"\>":> @@ -378,8 +380,10 @@ Cell[BoxData[GridBox[{ Documentation`HelpLookup[ "paclet:FeynCalc/ref/FCProductSplit"], "\<\"FCProgressBar\"\>":> Documentation`HelpLookup[ - "paclet:FeynCalc/ref/FCProgressBar"], "\<\"FCRenameDummyIndices\"\>":> - Documentation`HelpLookup[ + "paclet:FeynCalc/ref/FCProgressBar"], \ +"\<\"FCRemoveTypesettingRules\"\>":>Documentation`HelpLookup[ + "paclet:FeynCalc/ref/FCRemoveTypesettingRules"], \ +"\<\"FCRenameDummyIndices\"\>":>Documentation`HelpLookup[ "paclet:FeynCalc/ref/FCRenameDummyIndices"], "\<\"FCReplaceAll\"\>":> Documentation`HelpLookup[ "paclet:FeynCalc/ref/FCReplaceAll"], "\<\"FCReplaceMomenta\"\>":> @@ -932,7 +936,7 @@ FeynCalc.html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$16351], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$16393], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/guide/FeynCalc", ".html"]], None}]}]}, @@ -5520,6 +5524,26 @@ Cell[TextData[{ }], "GuideText", CellID->593077025], +Cell[TextData[{ + Cell[BoxData[ + TemplateBox[{Cell[ + TextData["FCAttachTypesettingRule"]], + "paclet:FeynCalc/ref/FCAttachTypesettingRule"}, + "RefLink", + BaseStyle->"InlineFunctionSans"]], "InlineFunctionSans"], + ", ", + Cell[BoxData[ + TemplateBox[{Cell[ + TextData["FCRemoveTypesettingRules"]], + "paclet:FeynCalc/ref/FCRemoveTypesettingRules"}, + "RefLink", + BaseStyle->"InlineFunctionSans"]], "InlineFunctionSans"], + " ", + StyleBox["\[LongDash]", "GuideEmDash"], + " custom typesetting rules" +}], "GuideText", + CellID->1383043437], + Cell[TextData[{ Cell[BoxData[ TemplateBox[{Cell[ @@ -6202,7 +6226,7 @@ TaggingRules->{ BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> Left], "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 23.081141}", + "built" -> "{2020, 6, 20, 19, 2, 0.352944}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -6211,7 +6235,7 @@ TaggingRules->{ "FeynCalc is a Mathematica package for algebraic calculations in Quantum \ Field Theory and semi-automatic evaluation of Feynman Diagrams", "synonyms" -> {}, "tabletags" -> - DocumentationBuild`Make`Private`tabletaggingrules$15730, "title" -> + DocumentationBuild`Make`Private`tabletaggingrules$15770, "title" -> "FeynCalc", "titlemodifier" -> "", "windowtitle" -> "FeynCalc", "type" -> "Guide", "uri" -> "FeynCalc/guide/FeynCalc"}}, FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", @@ -6229,699 +6253,701 @@ CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ -Cell[580, 21, 49243, 923, 70, "AnchorBarGrid", +Cell[580, 21, 49475, 927, 70, "AnchorBarGrid", CellID->1], Cell[CellGroupData[{ -Cell[49848, 948, 50, 1, 70, "GuideTitle", +Cell[50080, 952, 50, 1, 70, "GuideTitle", CellID->942062912], -Cell[49901, 951, 240, 7, 70, "GuideAbstract", +Cell[50133, 955, 240, 7, 70, "GuideAbstract", CellID->2001916300] }, Open ]], Cell[CellGroupData[{ -Cell[50178, 963, 70, 1, 70, "GuideFunctionsSubsection", +Cell[50410, 967, 70, 1, 70, "GuideFunctionsSubsection", CellID->1344981135], -Cell[50251, 966, 482, 16, 70, "GuideText", +Cell[50483, 970, 482, 16, 70, "GuideText", CellID->552658513], -Cell[50736, 984, 1273, 41, 70, "GuideText", +Cell[50968, 988, 1273, 41, 70, "GuideText", CellID->917048888], -Cell[52012, 1027, 466, 16, 70, "GuideText", +Cell[52244, 1031, 466, 16, 70, "GuideText", CellID->1033282217], -Cell[52481, 1045, 1213, 41, 70, "GuideText", +Cell[52713, 1049, 1213, 41, 70, "GuideText", CellID->747406905], -Cell[53697, 1088, 1220, 41, 70, "GuideText", +Cell[53929, 1092, 1220, 41, 70, "GuideText", CellID->1899175563], -Cell[54920, 1131, 642, 22, 70, "GuideText", +Cell[55152, 1135, 642, 22, 70, "GuideText", CellID->2127308002], -Cell[55565, 1155, 627, 22, 70, "GuideText", +Cell[55797, 1159, 627, 22, 70, "GuideText", CellID->1787264376], -Cell[56195, 1179, 303, 10, 70, "GuideText", +Cell[56427, 1183, 303, 10, 70, "GuideText", CellID->1483374883], -Cell[56501, 1191, 330, 10, 70, "GuideText", +Cell[56733, 1195, 330, 10, 70, "GuideText", CellID->1693164442], -Cell[56834, 1203, 407, 11, 70, "GuideText", +Cell[57066, 1207, 407, 11, 70, "GuideText", CellID->40531547], -Cell[57244, 1216, 739, 23, 70, "GuideText", +Cell[57476, 1220, 739, 23, 70, "GuideText", CellID->1851196232], -Cell[57986, 1241, 1497, 52, 70, "GuideText", +Cell[58218, 1245, 1497, 52, 70, "GuideText", CellID->1686448459], -Cell[59486, 1295, 500, 16, 70, "GuideText", +Cell[59718, 1299, 500, 16, 70, "GuideText", CellID->1098539957], -Cell[59989, 1313, 479, 16, 70, "GuideText", +Cell[60221, 1317, 479, 16, 70, "GuideText", CellID->1624859494], -Cell[60471, 1331, 988, 34, 70, "GuideText", +Cell[60703, 1335, 988, 34, 70, "GuideText", CellID->1680708588], -Cell[61462, 1367, 676, 22, 70, "GuideText", +Cell[61694, 1371, 676, 22, 70, "GuideText", CellID->1891570253], -Cell[62141, 1391, 504, 17, 70, "GuideText", +Cell[62373, 1395, 504, 17, 70, "GuideText", CellID->1483552361], -Cell[62648, 1410, 489, 16, 70, "GuideText", +Cell[62880, 1414, 489, 16, 70, "GuideText", CellID->1133806213], -Cell[63140, 1428, 488, 16, 70, "GuideText", +Cell[63372, 1432, 488, 16, 70, "GuideText", CellID->476236246], -Cell[63631, 1446, 497, 16, 70, "GuideText", +Cell[63863, 1450, 497, 16, 70, "GuideText", CellID->2139347147], -Cell[64131, 1464, 1008, 34, 70, "GuideText", +Cell[64363, 1468, 1008, 34, 70, "GuideText", CellID->1131303773], -Cell[65142, 1500, 496, 16, 70, "GuideText", +Cell[65374, 1504, 496, 16, 70, "GuideText", CellID->1183747723], -Cell[65641, 1518, 1088, 34, 70, "GuideText", +Cell[65873, 1522, 1088, 34, 70, "GuideText", CellID->1476055339], -Cell[66732, 1554, 328, 10, 70, "GuideText", +Cell[66964, 1558, 328, 10, 70, "GuideText", CellID->351247141], -Cell[67063, 1566, 626, 22, 70, "GuideText", +Cell[67295, 1570, 626, 22, 70, "GuideText", CellID->495428205], -Cell[67692, 1590, 301, 10, 70, "GuideText", +Cell[67924, 1594, 301, 10, 70, "GuideText", CellID->1403563110], -Cell[67996, 1602, 295, 10, 70, "GuideText", +Cell[68228, 1606, 295, 10, 70, "GuideText", CellID->1275284258], -Cell[68294, 1614, 301, 10, 70, "GuideText", +Cell[68526, 1618, 301, 10, 70, "GuideText", CellID->1257907745], -Cell[68598, 1626, 646, 22, 70, "GuideText", +Cell[68830, 1630, 646, 22, 70, "GuideText", CellID->279506458], -Cell[69247, 1650, 636, 22, 70, "GuideText", +Cell[69479, 1654, 636, 22, 70, "GuideText", CellID->1843949061], -Cell[69886, 1674, 311, 10, 70, "GuideText", +Cell[70118, 1678, 311, 10, 70, "GuideText", CellID->316776695], -Cell[70200, 1686, 634, 22, 70, "GuideText", +Cell[70432, 1690, 634, 22, 70, "GuideText", CellID->651468345], -Cell[70837, 1710, 293, 10, 70, "GuideText", +Cell[71069, 1714, 293, 10, 70, "GuideText", CellID->1386416972], -Cell[71133, 1722, 375, 11, 70, "GuideText", +Cell[71365, 1726, 375, 11, 70, "GuideText", CellID->1889374617], -Cell[71511, 1735, 321, 10, 70, "GuideText", +Cell[71743, 1739, 321, 10, 70, "GuideText", CellID->1326672219], -Cell[71835, 1747, 483, 16, 70, "GuideText", +Cell[72067, 1751, 483, 16, 70, "GuideText", CellID->339455499], -Cell[72321, 1765, 324, 10, 70, "GuideText", +Cell[72553, 1769, 324, 10, 70, "GuideText", CellID->1384558840], -Cell[72648, 1777, 315, 10, 70, "GuideText", +Cell[72880, 1781, 315, 10, 70, "GuideText", CellID->2003827822], -Cell[72966, 1789, 313, 10, 70, "GuideText", +Cell[73198, 1793, 313, 10, 70, "GuideText", CellID->827330458], -Cell[73282, 1801, 1198, 38, 70, "GuideText", +Cell[73514, 1805, 1198, 38, 70, "GuideText", CellID->1486910634], -Cell[74483, 1841, 315, 10, 70, "GuideText", +Cell[74715, 1845, 315, 10, 70, "GuideText", CellID->1015009742], -Cell[74801, 1853, 314, 10, 70, "GuideText", +Cell[75033, 1857, 314, 10, 70, "GuideText", CellID->146220986], -Cell[75118, 1865, 482, 16, 70, "GuideText", +Cell[75350, 1869, 482, 16, 70, "GuideText", CellID->522984542], -Cell[75603, 1883, 491, 16, 70, "GuideText", +Cell[75835, 1887, 491, 16, 70, "GuideText", CellID->1059337536], -Cell[76097, 1901, 1215, 41, 70, "GuideText", +Cell[76329, 1905, 1215, 41, 70, "GuideText", CellID->1616434352], -Cell[77315, 1944, 500, 16, 70, "GuideText", +Cell[77547, 1948, 500, 16, 70, "GuideText", CellID->137238398], -Cell[77818, 1962, 343, 10, 70, "GuideText", +Cell[78050, 1966, 343, 10, 70, "GuideText", CellID->590785021], -Cell[78164, 1974, 1732, 58, 70, "GuideText", +Cell[78396, 1978, 1732, 58, 70, "GuideText", CellID->307637975], -Cell[79899, 2034, 635, 22, 70, "GuideText", +Cell[80131, 2038, 635, 22, 70, "GuideText", CellID->305275299], -Cell[80537, 2058, 381, 13, 70, "GuideText", +Cell[80769, 2062, 381, 13, 70, "GuideText", CellID->1136659773], -Cell[80921, 2073, 384, 13, 70, "GuideText", +Cell[81153, 2077, 384, 13, 70, "GuideText", CellID->920034572], -Cell[81308, 2088, 353, 12, 70, "GuideText", +Cell[81540, 2092, 353, 12, 70, "GuideText", CellID->1328328343], -Cell[81664, 2102, 610, 20, 70, "GuideText", +Cell[81896, 2106, 610, 20, 70, "GuideText", CellID->1428923217], -Cell[82277, 2124, 377, 12, 70, "GuideText", +Cell[82509, 2128, 377, 12, 70, "GuideText", CellID->1810653371], -Cell[82657, 2138, 390, 12, 70, "GuideText", +Cell[82889, 2142, 390, 12, 70, "GuideText", CellID->564637115], -Cell[83050, 2152, 350, 10, 70, "GuideText", +Cell[83282, 2156, 350, 10, 70, "GuideText", CellID->579398612], -Cell[83403, 2164, 382, 11, 70, "GuideText", +Cell[83635, 2168, 382, 11, 70, "GuideText", CellID->461177124], -Cell[83788, 2177, 383, 14, 70, "GuideText", +Cell[84020, 2181, 383, 14, 70, "GuideText", CellID->1763987334], -Cell[84174, 2193, 1001, 34, 70, "GuideText", +Cell[84406, 2197, 1001, 34, 70, "GuideText", CellID->495570479] }, Open ]], Cell[CellGroupData[{ -Cell[85212, 2232, 71, 1, 70, "GuideFunctionsSubsection", +Cell[85444, 2236, 71, 1, 70, "GuideFunctionsSubsection", CellID->218620916], -Cell[85286, 2235, 437, 14, 70, "GuideText", +Cell[85518, 2239, 437, 14, 70, "GuideText", CellID->1010301503], -Cell[85726, 2251, 445, 14, 70, "GuideText", +Cell[85958, 2255, 445, 14, 70, "GuideText", CellID->1271388718], -Cell[86174, 2267, 457, 14, 70, "GuideText", +Cell[86406, 2271, 457, 14, 70, "GuideText", CellID->1736502128], -Cell[86634, 2283, 630, 21, 70, "GuideText", +Cell[86866, 2287, 630, 21, 70, "GuideText", CellID->1287756566], -Cell[87267, 2306, 294, 10, 70, "GuideText", +Cell[87499, 2310, 294, 10, 70, "GuideText", CellID->1747124358], -Cell[87564, 2318, 441, 14, 70, "GuideText", +Cell[87796, 2322, 441, 14, 70, "GuideText", CellID->1504394922], -Cell[88008, 2334, 453, 14, 70, "GuideText", +Cell[88240, 2338, 453, 14, 70, "GuideText", CellID->1363219802], -Cell[88464, 2350, 324, 10, 70, "GuideText", +Cell[88696, 2354, 324, 10, 70, "GuideText", CellID->1596546686], -Cell[88791, 2362, 623, 21, 70, "GuideText", +Cell[89023, 2366, 623, 21, 70, "GuideText", CellID->187460383], -Cell[89417, 2385, 301, 9, 70, "GuideText", +Cell[89649, 2389, 301, 9, 70, "GuideText", CellID->250574594], -Cell[89721, 2396, 336, 9, 70, "GuideText", +Cell[89953, 2400, 336, 9, 70, "GuideText", CellID->333715746], -Cell[90060, 2407, 475, 14, 70, "GuideText", +Cell[90292, 2411, 475, 14, 70, "GuideText", CellID->1948712237], -Cell[90538, 2423, 305, 9, 70, "GuideText", +Cell[90770, 2427, 305, 9, 70, "GuideText", CellID->457240651], -Cell[90846, 2434, 337, 9, 70, "GuideText", +Cell[91078, 2438, 337, 9, 70, "GuideText", CellID->1944469376], -Cell[91186, 2445, 308, 9, 70, "GuideText", +Cell[91418, 2449, 308, 9, 70, "GuideText", CellID->999406468], -Cell[91497, 2456, 328, 9, 70, "GuideText", +Cell[91729, 2460, 328, 9, 70, "GuideText", CellID->1139098210], -Cell[91828, 2467, 497, 15, 70, "GuideText", +Cell[92060, 2471, 497, 15, 70, "GuideText", CellID->959045627], -Cell[92328, 2484, 521, 16, 70, "GuideText", +Cell[92560, 2488, 521, 16, 70, "GuideText", CellID->27396530], -Cell[92852, 2502, 503, 16, 70, "GuideText", +Cell[93084, 2506, 503, 16, 70, "GuideText", CellID->1283386980], -Cell[93358, 2520, 523, 16, 70, "GuideText", +Cell[93590, 2524, 523, 16, 70, "GuideText", CellID->2100021916], -Cell[93884, 2538, 336, 9, 70, "GuideText", +Cell[94116, 2542, 336, 9, 70, "GuideText", CellID->1710347762], -Cell[94223, 2549, 327, 9, 70, "GuideText", +Cell[94455, 2553, 327, 9, 70, "GuideText", CellID->912750390], -Cell[94553, 2560, 304, 9, 70, "GuideText", +Cell[94785, 2564, 304, 9, 70, "GuideText", CellID->639244384], -Cell[94860, 2571, 459, 14, 70, "GuideText", +Cell[95092, 2575, 459, 14, 70, "GuideText", CellID->1734464827], -Cell[95322, 2587, 479, 14, 70, "GuideText", +Cell[95554, 2591, 479, 14, 70, "GuideText", CellID->1126439252], -Cell[95804, 2603, 1189, 39, 70, "GuideText", +Cell[96036, 2607, 1189, 39, 70, "GuideText", CellID->898863791], -Cell[96996, 2644, 447, 14, 70, "GuideText", +Cell[97228, 2648, 447, 14, 70, "GuideText", CellID->1409575124], -Cell[97446, 2660, 325, 9, 70, "GuideText", +Cell[97678, 2664, 325, 9, 70, "GuideText", CellID->1647672763], -Cell[97774, 2671, 442, 15, 70, "GuideText", +Cell[98006, 2675, 442, 15, 70, "GuideText", CellID->683465492], -Cell[98219, 2688, 449, 15, 70, "GuideText", +Cell[98451, 2692, 449, 15, 70, "GuideText", CellID->1650215271], -Cell[98671, 2705, 311, 10, 70, "GuideText", +Cell[98903, 2709, 311, 10, 70, "GuideText", CellID->1498216592], -Cell[98985, 2717, 434, 15, 70, "GuideText", +Cell[99217, 2721, 434, 15, 70, "GuideText", CellID->253353205], -Cell[99422, 2734, 319, 10, 70, "GuideText", +Cell[99654, 2738, 319, 10, 70, "GuideText", CellID->1212078011], -Cell[99744, 2746, 444, 15, 70, "GuideText", +Cell[99976, 2750, 444, 15, 70, "GuideText", CellID->178528196], -Cell[100191, 2763, 320, 10, 70, "GuideText", +Cell[100423, 2767, 320, 10, 70, "GuideText", CellID->1298957094], -Cell[100514, 2775, 455, 15, 70, "GuideText", +Cell[100746, 2779, 455, 15, 70, "GuideText", CellID->1374272511], -Cell[100972, 2792, 443, 15, 70, "GuideText", +Cell[101204, 2796, 443, 15, 70, "GuideText", CellID->1627933292], -Cell[101418, 2809, 514, 16, 70, "GuideText", +Cell[101650, 2813, 514, 16, 70, "GuideText", CellID->1708462303], -Cell[101935, 2827, 624, 21, 70, "GuideText", +Cell[102167, 2831, 624, 21, 70, "GuideText", CellID->1659205566], -Cell[102562, 2850, 619, 21, 70, "GuideText", +Cell[102794, 2854, 619, 21, 70, "GuideText", CellID->1809157918], -Cell[103184, 2873, 627, 22, 70, "GuideText", +Cell[103416, 2877, 627, 22, 70, "GuideText", CellID->869117662] }, Open ]], Cell[CellGroupData[{ -Cell[103848, 2900, 85, 1, 70, "GuideFunctionsSubsection", +Cell[104080, 2904, 85, 1, 70, "GuideFunctionsSubsection", CellID->385817707], -Cell[103936, 2903, 334, 10, 70, "GuideText", +Cell[104168, 2907, 334, 10, 70, "GuideText", CellID->2009629793], -Cell[104273, 2915, 357, 10, 70, "GuideText", +Cell[104505, 2919, 357, 10, 70, "GuideText", CellID->912975989], -Cell[104633, 2927, 350, 10, 70, "GuideText", +Cell[104865, 2931, 350, 10, 70, "GuideText", CellID->512359346], -Cell[104986, 2939, 388, 11, 70, "GuideText", +Cell[105218, 2943, 388, 11, 70, "GuideText", CellID->1524292158], -Cell[105377, 2952, 343, 10, 70, "GuideText", +Cell[105609, 2956, 343, 10, 70, "GuideText", CellID->231212511], -Cell[105723, 2964, 327, 10, 70, "GuideText", +Cell[105955, 2968, 327, 10, 70, "GuideText", CellID->462667998], -Cell[106053, 2976, 337, 10, 70, "GuideText", +Cell[106285, 2980, 337, 10, 70, "GuideText", CellID->1666870466], -Cell[106393, 2988, 350, 10, 70, "GuideText", +Cell[106625, 2992, 350, 10, 70, "GuideText", CellID->1913592904], -Cell[106746, 3000, 356, 10, 70, "GuideText", +Cell[106978, 3004, 356, 10, 70, "GuideText", CellID->1678264313], -Cell[107105, 3012, 349, 10, 70, "GuideText", +Cell[107337, 3016, 349, 10, 70, "GuideText", CellID->1041255969], -Cell[107457, 3024, 344, 11, 70, "GuideText", +Cell[107689, 3028, 344, 11, 70, "GuideText", CellID->693139341], -Cell[107804, 3037, 343, 11, 70, "GuideText", +Cell[108036, 3041, 343, 11, 70, "GuideText", CellID->530074450], -Cell[108150, 3050, 362, 11, 70, "GuideText", +Cell[108382, 3054, 362, 11, 70, "GuideText", CellID->343872275], -Cell[108515, 3063, 352, 10, 70, "GuideText", +Cell[108747, 3067, 352, 10, 70, "GuideText", CellID->1454317304], -Cell[108870, 3075, 349, 11, 70, "GuideText", +Cell[109102, 3079, 349, 11, 70, "GuideText", CellID->458315879], -Cell[109222, 3088, 325, 11, 70, "GuideText", +Cell[109454, 3092, 325, 11, 70, "GuideText", CellID->548161550], -Cell[109550, 3101, 325, 10, 70, "GuideText", +Cell[109782, 3105, 325, 10, 70, "GuideText", CellID->956858169], -Cell[109878, 3113, 360, 10, 70, "GuideText", +Cell[110110, 3117, 360, 10, 70, "GuideText", CellID->1163869201], -Cell[110241, 3125, 387, 12, 70, "GuideText", +Cell[110473, 3129, 387, 12, 70, "GuideText", CellID->1554099869], -Cell[110631, 3139, 343, 10, 70, "GuideText", +Cell[110863, 3143, 343, 10, 70, "GuideText", CellID->987343741], -Cell[110977, 3151, 310, 10, 70, "GuideText", +Cell[111209, 3155, 310, 10, 70, "GuideText", CellID->1285601191], -Cell[111290, 3163, 333, 10, 70, "GuideText", +Cell[111522, 3167, 333, 10, 70, "GuideText", CellID->894822474], -Cell[111626, 3175, 350, 10, 70, "GuideText", +Cell[111858, 3179, 350, 10, 70, "GuideText", CellID->2030923756], -Cell[111979, 3187, 696, 21, 70, "GuideText", +Cell[112211, 3191, 696, 21, 70, "GuideText", CellID->1809925827], -Cell[112678, 3210, 401, 14, 70, "GuideText", +Cell[112910, 3214, 401, 14, 70, "GuideText", CellID->344422616], -Cell[113082, 3226, 707, 22, 70, "GuideText", +Cell[113314, 3230, 707, 22, 70, "GuideText", CellID->2009219923], -Cell[113792, 3250, 321, 10, 70, "GuideText", +Cell[114024, 3254, 321, 10, 70, "GuideText", CellID->874103215], -Cell[114116, 3262, 315, 10, 70, "GuideText", +Cell[114348, 3266, 315, 10, 70, "GuideText", CellID->218430270], -Cell[114434, 3274, 317, 10, 70, "GuideText", +Cell[114666, 3278, 317, 10, 70, "GuideText", CellID->579030092], -Cell[114754, 3286, 325, 10, 70, "GuideText", +Cell[114986, 3290, 325, 10, 70, "GuideText", CellID->1156270314], -Cell[115082, 3298, 346, 10, 70, "GuideText", +Cell[115314, 3302, 346, 10, 70, "GuideText", CellID->1174118505], -Cell[115431, 3310, 361, 10, 70, "GuideText", +Cell[115663, 3314, 361, 10, 70, "GuideText", CellID->629389521], -Cell[115795, 3322, 336, 10, 70, "GuideText", +Cell[116027, 3326, 336, 10, 70, "GuideText", CellID->715481727], -Cell[116134, 3334, 333, 10, 70, "GuideText", +Cell[116366, 3338, 333, 10, 70, "GuideText", CellID->397784278] }, Open ]], Cell[CellGroupData[{ -Cell[116504, 3349, 68, 1, 70, "GuideFunctionsSubsection", +Cell[116736, 3353, 68, 1, 70, "GuideFunctionsSubsection", CellID->46643246], -Cell[116575, 3352, 398, 13, 70, "GuideText", +Cell[116807, 3356, 398, 13, 70, "GuideText", CellID->2131819227], -Cell[116976, 3367, 341, 10, 70, "GuideText", +Cell[117208, 3371, 341, 10, 70, "GuideText", CellID->1211971239], -Cell[117320, 3379, 311, 10, 70, "GuideText", +Cell[117552, 3383, 311, 10, 70, "GuideText", CellID->333117850], -Cell[117634, 3391, 501, 15, 70, "GuideText", +Cell[117866, 3395, 501, 15, 70, "GuideText", CellID->615769661], -Cell[118138, 3408, 346, 10, 70, "GuideText", +Cell[118370, 3412, 346, 10, 70, "GuideText", CellID->1531032786], -Cell[118487, 3420, 336, 10, 70, "GuideText", +Cell[118719, 3424, 336, 10, 70, "GuideText", CellID->688938496], -Cell[118826, 3432, 369, 11, 70, "GuideText", +Cell[119058, 3436, 369, 11, 70, "GuideText", CellID->1740429042], -Cell[119198, 3445, 504, 15, 70, "GuideText", +Cell[119430, 3449, 504, 15, 70, "GuideText", CellID->766933896], -Cell[119705, 3462, 505, 15, 70, "GuideText", +Cell[119937, 3466, 505, 15, 70, "GuideText", CellID->297775359], -Cell[120213, 3479, 361, 11, 70, "GuideText", +Cell[120445, 3483, 361, 11, 70, "GuideText", CellID->255459663], -Cell[120577, 3492, 504, 17, 70, "GuideText", +Cell[120809, 3496, 504, 17, 70, "GuideText", CellID->1930796468], -Cell[121084, 3511, 498, 15, 70, "GuideText", +Cell[121316, 3515, 498, 15, 70, "GuideText", CellID->859911226], -Cell[121585, 3528, 313, 10, 70, "GuideText", +Cell[121817, 3532, 313, 10, 70, "GuideText", CellID->1463755561], -Cell[121901, 3540, 377, 11, 70, "GuideText", +Cell[122133, 3544, 377, 11, 70, "GuideText", CellID->1334035786], -Cell[122281, 3553, 368, 11, 70, "GuideText", +Cell[122513, 3557, 368, 11, 70, "GuideText", CellID->525715973], -Cell[122652, 3566, 749, 25, 70, "GuideText", +Cell[122884, 3570, 749, 25, 70, "GuideText", CellID->731234667], -Cell[123404, 3593, 342, 10, 70, "GuideText", +Cell[123636, 3597, 342, 10, 70, "GuideText", CellID->264220763], -Cell[123749, 3605, 393, 12, 70, "GuideText", +Cell[123981, 3609, 393, 12, 70, "GuideText", CellID->1841016351], -Cell[124145, 3619, 1128, 34, 70, "GuideText", +Cell[124377, 3623, 1128, 34, 70, "GuideText", CellID->2051310471], -Cell[125276, 3655, 392, 12, 70, "GuideText", +Cell[125508, 3659, 392, 12, 70, "GuideText", CellID->1516554292], -Cell[125671, 3669, 342, 10, 70, "GuideText", +Cell[125903, 3673, 342, 10, 70, "GuideText", CellID->599004464], -Cell[126016, 3681, 434, 13, 70, "GuideText", +Cell[126248, 3685, 434, 13, 70, "GuideText", CellID->249077307], -Cell[126453, 3696, 336, 11, 70, "GuideText", +Cell[126685, 3700, 336, 11, 70, "GuideText", CellID->666948297], -Cell[126792, 3709, 327, 10, 70, "GuideText", +Cell[127024, 3713, 327, 10, 70, "GuideText", CellID->544222991], -Cell[127122, 3721, 574, 20, 70, "GuideText", +Cell[127354, 3725, 574, 20, 70, "GuideText", CellID->829753496], -Cell[127699, 3743, 495, 15, 70, "GuideText", +Cell[127931, 3747, 495, 15, 70, "GuideText", CellID->803577072], -Cell[128197, 3760, 445, 15, 70, "GuideText", +Cell[128429, 3764, 445, 15, 70, "GuideText", CellID->1707494307] }, Open ]], Cell[CellGroupData[{ -Cell[128679, 3780, 70, 1, 70, "GuideFunctionsSubsection", +Cell[128911, 3784, 70, 1, 70, "GuideFunctionsSubsection", CellID->1019637263], -Cell[128752, 3783, 589, 18, 70, "GuideText", +Cell[128984, 3787, 589, 18, 70, "GuideText", CellID->1574223047], -Cell[129344, 3803, 343, 10, 70, "GuideText", +Cell[129576, 3807, 343, 10, 70, "GuideText", CellID->1157786320], -Cell[129690, 3815, 337, 10, 70, "GuideText", +Cell[129922, 3819, 337, 10, 70, "GuideText", CellID->1399324995], -Cell[130030, 3827, 501, 15, 70, "GuideText", +Cell[130262, 3831, 501, 15, 70, "GuideText", CellID->552290354], -Cell[130534, 3844, 345, 10, 70, "GuideText", +Cell[130766, 3848, 345, 10, 70, "GuideText", CellID->719502163], -Cell[130882, 3856, 360, 11, 70, "GuideText", +Cell[131114, 3860, 360, 11, 70, "GuideText", CellID->88133699], -Cell[131245, 3869, 377, 11, 70, "GuideText", +Cell[131477, 3873, 377, 11, 70, "GuideText", CellID->1853386914] }, Open ]], Cell[CellGroupData[{ -Cell[131659, 3885, 91, 1, 70, "GuideFunctionsSubsection", +Cell[131891, 3889, 91, 1, 70, "GuideFunctionsSubsection", CellID->1113739100], -Cell[131753, 3888, 314, 10, 70, "GuideText", +Cell[131985, 3892, 314, 10, 70, "GuideText", CellID->1482543113], -Cell[132070, 3900, 492, 16, 70, "GuideText", +Cell[132302, 3904, 492, 16, 70, "GuideText", CellID->1937939922], -Cell[132565, 3918, 299, 10, 70, "GuideText", +Cell[132797, 3922, 299, 10, 70, "GuideText", CellID->526201837], -Cell[132867, 3930, 699, 21, 70, "GuideText", +Cell[133099, 3934, 699, 21, 70, "GuideText", CellID->369276061], -Cell[133569, 3953, 337, 11, 70, "GuideText", +Cell[133801, 3957, 337, 11, 70, "GuideText", CellID->795497081], -Cell[133909, 3966, 451, 16, 70, "GuideText", +Cell[134141, 3970, 451, 16, 70, "GuideText", CellID->284457576], -Cell[134363, 3984, 329, 11, 70, "GuideText", +Cell[134595, 3988, 329, 11, 70, "GuideText", CellID->1861924278], -Cell[134695, 3997, 350, 10, 70, "GuideText", +Cell[134927, 4001, 350, 10, 70, "GuideText", CellID->1313775346], -Cell[135048, 4009, 340, 10, 70, "GuideText", +Cell[135280, 4013, 340, 10, 70, "GuideText", CellID->570329733], -Cell[135391, 4021, 314, 10, 70, "GuideText", +Cell[135623, 4025, 314, 10, 70, "GuideText", CellID->563873312], -Cell[135708, 4033, 522, 16, 70, "GuideText", +Cell[135940, 4037, 522, 16, 70, "GuideText", CellID->1355907511], -Cell[136233, 4051, 481, 16, 70, "GuideText", +Cell[136465, 4055, 481, 16, 70, "GuideText", CellID->1719074274], -Cell[136717, 4069, 349, 11, 70, "GuideText", +Cell[136949, 4073, 349, 11, 70, "GuideText", CellID->1938046161], -Cell[137069, 4082, 336, 11, 70, "GuideText", +Cell[137301, 4086, 336, 11, 70, "GuideText", CellID->899466843], -Cell[137408, 4095, 344, 11, 70, "GuideText", +Cell[137640, 4099, 344, 11, 70, "GuideText", CellID->1309406098] }, Open ]], Cell[CellGroupData[{ -Cell[137789, 4111, 69, 1, 70, "GuideFunctionsSubsection", +Cell[138021, 4115, 69, 1, 70, "GuideFunctionsSubsection", CellID->121380019], -Cell[137861, 4114, 316, 10, 70, "GuideText", +Cell[138093, 4118, 316, 10, 70, "GuideText", CellID->821249197], -Cell[138180, 4126, 345, 10, 70, "GuideText", +Cell[138412, 4130, 345, 10, 70, "GuideText", CellID->1593535902], -Cell[138528, 4138, 350, 10, 70, "GuideText", +Cell[138760, 4142, 350, 10, 70, "GuideText", CellID->210505242], -Cell[138881, 4150, 519, 16, 70, "GuideText", +Cell[139113, 4154, 519, 16, 70, "GuideText", CellID->1595578132], -Cell[139403, 4168, 311, 10, 70, "GuideText", +Cell[139635, 4172, 311, 10, 70, "GuideText", CellID->1561361899] }, Open ]], Cell[CellGroupData[{ -Cell[139751, 4183, 71, 1, 70, "GuideFunctionsSubsection", +Cell[139983, 4187, 71, 1, 70, "GuideFunctionsSubsection", CellID->1137355821], -Cell[139825, 4186, 307, 10, 70, "GuideText", +Cell[140057, 4190, 307, 10, 70, "GuideText", CellID->484191528], -Cell[140135, 4198, 329, 10, 70, "GuideText", +Cell[140367, 4202, 329, 10, 70, "GuideText", CellID->1364110476], -Cell[140467, 4210, 315, 10, 70, "GuideText", +Cell[140699, 4214, 315, 10, 70, "GuideText", CellID->863977560], -Cell[140785, 4222, 810, 28, 70, "GuideText", +Cell[141017, 4226, 810, 28, 70, "GuideText", CellID->512824359], -Cell[141598, 4252, 311, 10, 70, "GuideText", +Cell[141830, 4256, 311, 10, 70, "GuideText", CellID->1115857362], -Cell[141912, 4264, 306, 10, 70, "GuideText", +Cell[142144, 4268, 306, 10, 70, "GuideText", CellID->143835829], -Cell[142221, 4276, 481, 16, 70, "GuideText", +Cell[142453, 4280, 481, 16, 70, "GuideText", CellID->883206687], -Cell[142705, 4294, 481, 16, 70, "GuideText", +Cell[142937, 4298, 481, 16, 70, "GuideText", CellID->439407944], -Cell[143189, 4312, 496, 16, 70, "GuideText", +Cell[143421, 4316, 496, 16, 70, "GuideText", CellID->1595882694], -Cell[143688, 4330, 331, 10, 70, "GuideText", +Cell[143920, 4334, 331, 10, 70, "GuideText", CellID->649428922], -Cell[144022, 4342, 325, 10, 70, "GuideText", +Cell[144254, 4346, 325, 10, 70, "GuideText", CellID->1635464308], -Cell[144350, 4354, 562, 19, 70, "GuideText", +Cell[144582, 4358, 562, 19, 70, "GuideText", CellID->1893254602], -Cell[144915, 4375, 561, 19, 70, "GuideText", +Cell[145147, 4379, 561, 19, 70, "GuideText", CellID->157928460], -Cell[145479, 4396, 301, 10, 70, "GuideText", +Cell[145711, 4400, 301, 10, 70, "GuideText", CellID->333845561], -Cell[145783, 4408, 373, 11, 70, "GuideText", +Cell[146015, 4412, 373, 11, 70, "GuideText", CellID->1110841143], -Cell[146159, 4421, 383, 11, 70, "GuideText", +Cell[146391, 4425, 383, 11, 70, "GuideText", CellID->714568367], -Cell[146545, 4434, 366, 10, 70, "GuideText", +Cell[146777, 4438, 366, 10, 70, "GuideText", CellID->251142308], -Cell[146914, 4446, 342, 10, 70, "GuideText", +Cell[147146, 4450, 342, 10, 70, "GuideText", CellID->316443304], -Cell[147259, 4458, 408, 12, 70, "GuideText", +Cell[147491, 4462, 408, 12, 70, "GuideText", CellID->298868397], -Cell[147670, 4472, 414, 12, 70, "GuideText", +Cell[147902, 4476, 414, 12, 70, "GuideText", CellID->1836590028], -Cell[148087, 4486, 369, 10, 70, "GuideText", +Cell[148319, 4490, 369, 10, 70, "GuideText", CellID->1180959289], -Cell[148459, 4498, 403, 11, 70, "GuideText", +Cell[148691, 4502, 403, 11, 70, "GuideText", CellID->145221909], -Cell[148865, 4511, 376, 11, 70, "GuideText", +Cell[149097, 4515, 376, 11, 70, "GuideText", CellID->1336937891], -Cell[149244, 4524, 372, 11, 70, "GuideText", +Cell[149476, 4528, 372, 11, 70, "GuideText", CellID->1371085902], -Cell[149619, 4537, 309, 10, 70, "GuideText", +Cell[149851, 4541, 309, 10, 70, "GuideText", CellID->1906541245], -Cell[149931, 4549, 371, 11, 70, "GuideText", +Cell[150163, 4553, 371, 11, 70, "GuideText", CellID->1217639042], -Cell[150305, 4562, 326, 10, 70, "GuideText", +Cell[150537, 4566, 326, 10, 70, "GuideText", CellID->757005022], -Cell[150634, 4574, 366, 11, 70, "GuideText", +Cell[150866, 4578, 366, 11, 70, "GuideText", CellID->659374071], -Cell[151003, 4587, 425, 12, 70, "GuideText", +Cell[151235, 4591, 425, 12, 70, "GuideText", CellID->246441420], -Cell[151431, 4601, 406, 11, 70, "GuideText", +Cell[151663, 4605, 406, 11, 70, "GuideText", CellID->1419686490], -Cell[151840, 4614, 401, 12, 70, "GuideText", +Cell[152072, 4618, 401, 12, 70, "GuideText", CellID->1595269881], -Cell[152244, 4628, 396, 12, 70, "GuideText", +Cell[152476, 4632, 396, 12, 70, "GuideText", CellID->253977384], -Cell[152643, 4642, 380, 11, 70, "GuideText", +Cell[152875, 4646, 380, 11, 70, "GuideText", CellID->1024109807], -Cell[153026, 4655, 406, 11, 70, "GuideText", +Cell[153258, 4659, 406, 11, 70, "GuideText", CellID->2097424491], -Cell[153435, 4668, 540, 16, 70, "GuideText", +Cell[153667, 4672, 540, 16, 70, "GuideText", CellID->284159366], -Cell[153978, 4686, 365, 11, 70, "GuideText", +Cell[154210, 4690, 365, 11, 70, "GuideText", CellID->1711785091], -Cell[154346, 4699, 367, 11, 70, "GuideText", +Cell[154578, 4703, 367, 11, 70, "GuideText", CellID->777565246], -Cell[154716, 4712, 346, 11, 70, "GuideText", +Cell[154948, 4716, 346, 11, 70, "GuideText", CellID->127777310], -Cell[155065, 4725, 561, 17, 70, "GuideText", +Cell[155297, 4729, 561, 17, 70, "GuideText", CellID->2037908586], -Cell[155629, 4744, 406, 12, 70, "GuideText", +Cell[155861, 4748, 406, 12, 70, "GuideText", CellID->164601953], -Cell[156038, 4758, 476, 15, 70, "GuideText", +Cell[156270, 4762, 476, 15, 70, "GuideText", CellID->1822975320], -Cell[156517, 4775, 355, 10, 70, "GuideText", +Cell[156749, 4779, 355, 10, 70, "GuideText", CellID->727371440], -Cell[156875, 4787, 337, 10, 70, "GuideText", +Cell[157107, 4791, 337, 10, 70, "GuideText", CellID->1377966861], -Cell[157215, 4799, 522, 18, 70, "GuideText", +Cell[157447, 4803, 522, 18, 70, "GuideText", CellID->1684971587], -Cell[157740, 4819, 488, 16, 70, "GuideText", +Cell[157972, 4823, 488, 16, 70, "GuideText", CellID->1716225519], -Cell[158231, 4837, 290, 10, 70, "GuideText", +Cell[158463, 4841, 290, 10, 70, "GuideText", CellID->671837658], -Cell[158524, 4849, 510, 16, 70, "GuideText", +Cell[158756, 4853, 510, 16, 70, "GuideText", CellID->1636252055], -Cell[159037, 4867, 544, 16, 70, "GuideText", +Cell[159269, 4871, 544, 16, 70, "GuideText", CellID->1675333030], -Cell[159584, 4885, 348, 10, 70, "GuideText", +Cell[159816, 4889, 348, 10, 70, "GuideText", CellID->373844893], -Cell[159935, 4897, 388, 12, 70, "GuideText", +Cell[160167, 4901, 388, 12, 70, "GuideText", CellID->1693861457], -Cell[160326, 4911, 507, 16, 70, "GuideText", +Cell[160558, 4915, 507, 16, 70, "GuideText", CellID->305598727], -Cell[160836, 4929, 468, 14, 70, "GuideText", +Cell[161068, 4933, 468, 14, 70, "GuideText", CellID->136967693], -Cell[161307, 4945, 348, 10, 70, "GuideText", +Cell[161539, 4949, 348, 10, 70, "GuideText", CellID->842283836], -Cell[161658, 4957, 334, 10, 70, "GuideText", +Cell[161890, 4961, 334, 10, 70, "GuideText", CellID->479804421], -Cell[161995, 4969, 482, 15, 70, "GuideText", +Cell[162227, 4973, 482, 15, 70, "GuideText", CellID->932281504], -Cell[162480, 4986, 483, 16, 70, "GuideText", +Cell[162712, 4990, 483, 16, 70, "GuideText", CellID->200996743], -Cell[162966, 5004, 984, 33, 70, "GuideText", +Cell[163198, 5008, 984, 33, 70, "GuideText", CellID->1268052330], -Cell[163953, 5039, 353, 10, 70, "GuideText", +Cell[164185, 5043, 353, 10, 70, "GuideText", CellID->2127045206], -Cell[164309, 5051, 337, 10, 70, "GuideText", +Cell[164541, 5055, 337, 10, 70, "GuideText", CellID->334277431], -Cell[164649, 5063, 520, 16, 70, "GuideText", +Cell[164881, 5067, 520, 16, 70, "GuideText", CellID->1574102580], -Cell[165172, 5081, 460, 17, 70, "GuideText", +Cell[165404, 5085, 460, 17, 70, "GuideText", CellID->1554094936], -Cell[165635, 5100, 499, 16, 70, "GuideText", +Cell[165867, 5104, 499, 16, 70, "GuideText", CellID->1979909722], -Cell[166137, 5118, 335, 10, 70, "GuideText", +Cell[166369, 5122, 335, 10, 70, "GuideText", CellID->613914279], -Cell[166475, 5130, 314, 11, 70, "GuideText", +Cell[166707, 5134, 314, 11, 70, "GuideText", CellID->1765084008], -Cell[166792, 5143, 316, 10, 70, "GuideText", +Cell[167024, 5147, 316, 10, 70, "GuideText", CellID->982645341], -Cell[167111, 5155, 875, 27, 70, "GuideText", +Cell[167343, 5159, 875, 27, 70, "GuideText", CellID->2096516005], -Cell[167989, 5184, 516, 17, 70, "GuideText", +Cell[168221, 5188, 516, 17, 70, "GuideText", CellID->1860467462], -Cell[168508, 5203, 342, 10, 70, "GuideText", +Cell[168740, 5207, 342, 10, 70, "GuideText", CellID->242380689], -Cell[168853, 5215, 1746, 62, 70, "GuideText", +Cell[169085, 5219, 1746, 62, 70, "GuideText", CellID->94253587], -Cell[170602, 5279, 622, 22, 70, "GuideText", +Cell[170834, 5283, 622, 22, 70, "GuideText", CellID->43212878], -Cell[171227, 5303, 328, 10, 70, "GuideText", +Cell[171459, 5307, 328, 10, 70, "GuideText", CellID->485753619] }, Open ]], Cell[CellGroupData[{ -Cell[171592, 5318, 73, 1, 70, "GuideFunctionsSubsection", +Cell[171824, 5322, 73, 1, 70, "GuideFunctionsSubsection", CellID->198236928], -Cell[171668, 5321, 320, 10, 70, "GuideText", +Cell[171900, 5325, 320, 10, 70, "GuideText", CellID->1077126346], -Cell[171991, 5333, 305, 10, 70, "GuideText", +Cell[172223, 5337, 305, 10, 70, "GuideText", CellID->1438938037], -Cell[172299, 5345, 347, 10, 70, "GuideText", +Cell[172531, 5349, 347, 10, 70, "GuideText", CellID->1856631784], -Cell[172649, 5357, 328, 10, 70, "GuideText", +Cell[172881, 5361, 328, 10, 70, "GuideText", CellID->440214481], -Cell[172980, 5369, 469, 16, 70, "GuideText", +Cell[173212, 5373, 469, 16, 70, "GuideText", CellID->849708221], -Cell[173452, 5387, 361, 11, 70, "GuideText", +Cell[173684, 5391, 361, 11, 70, "GuideText", CellID->390527761] }, Open ]], Cell[CellGroupData[{ -Cell[173850, 5403, 85, 1, 70, "GuideFunctionsSubsection", +Cell[174082, 5407, 85, 1, 70, "GuideFunctionsSubsection", CellID->1448855878], -Cell[173938, 5406, 355, 12, 70, "GuideText", +Cell[174170, 5410, 355, 12, 70, "GuideText", CellID->594655451], -Cell[174296, 5420, 329, 10, 70, "GuideText", +Cell[174528, 5424, 329, 10, 70, "GuideText", CellID->1847839027], -Cell[174628, 5432, 308, 10, 70, "GuideText", +Cell[174860, 5436, 308, 10, 70, "GuideText", CellID->2013380245], -Cell[174939, 5444, 339, 11, 70, "GuideText", +Cell[175171, 5448, 339, 11, 70, "GuideText", CellID->2016043479], -Cell[175281, 5457, 362, 10, 70, "GuideText", +Cell[175513, 5461, 362, 10, 70, "GuideText", CellID->397456419], -Cell[175646, 5469, 520, 16, 70, "GuideText", +Cell[175878, 5473, 520, 16, 70, "GuideText", CellID->747107785], -Cell[176169, 5487, 707, 21, 70, "GuideText", +Cell[176401, 5491, 707, 21, 70, "GuideText", CellID->599890035], -Cell[176879, 5510, 320, 10, 70, "GuideText", +Cell[177111, 5514, 320, 10, 70, "GuideText", CellID->593077025], -Cell[177202, 5522, 328, 11, 70, "GuideText", +Cell[177434, 5526, 550, 18, 70, "GuideText", + CellID->1383043437], +Cell[177987, 5546, 328, 11, 70, "GuideText", CellID->1711779075], -Cell[177533, 5535, 370, 11, 70, "GuideText", +Cell[178318, 5559, 370, 11, 70, "GuideText", CellID->1327458149], -Cell[177906, 5548, 368, 11, 70, "GuideText", +Cell[178691, 5572, 368, 11, 70, "GuideText", CellID->2002786353], -Cell[178277, 5561, 317, 10, 70, "GuideText", +Cell[179062, 5585, 317, 10, 70, "GuideText", CellID->1230786365], -Cell[178597, 5573, 305, 10, 70, "GuideText", +Cell[179382, 5597, 305, 10, 70, "GuideText", CellID->837206947], -Cell[178905, 5585, 379, 12, 70, "GuideText", +Cell[179690, 5609, 379, 12, 70, "GuideText", CellID->1427392211], -Cell[179287, 5599, 301, 10, 70, "GuideText", +Cell[180072, 5623, 301, 10, 70, "GuideText", CellID->866592844], -Cell[179591, 5611, 304, 10, 70, "GuideText", +Cell[180376, 5635, 304, 10, 70, "GuideText", CellID->30813872], -Cell[179898, 5623, 309, 10, 70, "GuideText", +Cell[180683, 5647, 309, 10, 70, "GuideText", CellID->660953776], -Cell[180210, 5635, 305, 10, 70, "GuideText", +Cell[180995, 5659, 305, 10, 70, "GuideText", CellID->183769818], -Cell[180518, 5647, 314, 10, 70, "GuideText", +Cell[181303, 5671, 314, 10, 70, "GuideText", CellID->2139004592], -Cell[180835, 5659, 304, 10, 70, "GuideText", +Cell[181620, 5683, 304, 10, 70, "GuideText", CellID->819406206], -Cell[181142, 5671, 329, 10, 70, "GuideText", +Cell[181927, 5695, 329, 10, 70, "GuideText", CellID->202849658], -Cell[181474, 5683, 310, 10, 70, "GuideText", +Cell[182259, 5707, 310, 10, 70, "GuideText", CellID->1894290270], -Cell[181787, 5695, 306, 10, 70, "GuideText", +Cell[182572, 5719, 306, 10, 70, "GuideText", CellID->1081498198], -Cell[182096, 5707, 325, 11, 70, "GuideText", +Cell[182881, 5731, 325, 11, 70, "GuideText", CellID->1449625308], -Cell[182424, 5720, 445, 14, 70, "GuideText", +Cell[183209, 5744, 445, 14, 70, "GuideText", CellID->390518825], -Cell[182872, 5736, 311, 10, 70, "GuideText", +Cell[183657, 5760, 311, 10, 70, "GuideText", CellID->1907820234], -Cell[183186, 5748, 292, 10, 70, "GuideText", +Cell[183971, 5772, 292, 10, 70, "GuideText", CellID->1716995820], -Cell[183481, 5760, 397, 12, 70, "GuideText", +Cell[184266, 5784, 397, 12, 70, "GuideText", CellID->847406609] }, Open ]], Cell[CellGroupData[{ -Cell[183915, 5777, 61, 1, 70, "GuideFunctionsSubsection", +Cell[184700, 5801, 61, 1, 70, "GuideFunctionsSubsection", CellID->16428002], -Cell[183979, 5780, 307, 10, 70, "GuideText", +Cell[184764, 5804, 307, 10, 70, "GuideText", CellID->573273780], -Cell[184289, 5792, 436, 13, 70, "GuideText", +Cell[185074, 5816, 436, 13, 70, "GuideText", CellID->58857743], -Cell[184728, 5807, 322, 10, 70, "GuideText", +Cell[185513, 5831, 322, 10, 70, "GuideText", CellID->2085845974], -Cell[185053, 5819, 491, 16, 70, "GuideText", +Cell[185838, 5843, 491, 16, 70, "GuideText", CellID->113893828], -Cell[185547, 5837, 307, 10, 70, "GuideText", +Cell[186332, 5861, 307, 10, 70, "GuideText", CellID->398578851], -Cell[185857, 5849, 1013, 34, 70, "GuideText", +Cell[186642, 5873, 1013, 34, 70, "GuideText", CellID->1016459733], -Cell[186873, 5885, 837, 28, 70, "GuideText", +Cell[187658, 5909, 837, 28, 70, "GuideText", CellID->1266157], -Cell[187713, 5915, 331, 10, 70, "GuideText", +Cell[188498, 5939, 331, 10, 70, "GuideText", CellID->1817035294], -Cell[188047, 5927, 296, 10, 70, "GuideText", +Cell[188832, 5951, 296, 10, 70, "GuideText", CellID->1052156503], -Cell[188346, 5939, 303, 10, 70, "GuideText", +Cell[189131, 5963, 303, 10, 70, "GuideText", CellID->1278270450], -Cell[188652, 5951, 310, 11, 70, "GuideText", +Cell[189437, 5975, 310, 11, 70, "GuideText", CellID->1690213129], -Cell[188965, 5964, 681, 22, 70, "GuideText", +Cell[189750, 5988, 681, 22, 70, "GuideText", CellID->1901226625], -Cell[189649, 5988, 325, 10, 70, "GuideText", +Cell[190434, 6012, 325, 10, 70, "GuideText", CellID->2052229439] }, Open ]], Cell[CellGroupData[{ -Cell[190011, 6003, 87, 1, 70, "GuideFunctionsSubsection", +Cell[190796, 6027, 87, 1, 70, "GuideFunctionsSubsection", CellID->1393825317], -Cell[190101, 6006, 361, 13, 70, "GuideText", +Cell[190886, 6030, 361, 13, 70, "GuideText", CellID->1235023741], -Cell[190465, 6021, 297, 10, 70, "GuideText", +Cell[191250, 6045, 297, 10, 70, "GuideText", CellID->1076523595], -Cell[190765, 6033, 432, 15, 70, "GuideText", +Cell[191550, 6057, 432, 15, 70, "GuideText", CellID->745071340], -Cell[191200, 6050, 508, 16, 70, "GuideText", +Cell[191985, 6074, 508, 16, 70, "GuideText", CellID->878821469], -Cell[191711, 6068, 307, 10, 70, "GuideText", +Cell[192496, 6092, 307, 10, 70, "GuideText", CellID->2116157651], -Cell[192021, 6080, 295, 10, 70, "GuideText", +Cell[192806, 6104, 295, 10, 70, "GuideText", CellID->1005983702], -Cell[192319, 6092, 664, 21, 70, "GuideText", +Cell[193104, 6116, 664, 21, 70, "GuideText", CellID->554636843], -Cell[192986, 6115, 663, 21, 70, "GuideText", +Cell[193771, 6139, 663, 21, 70, "GuideText", CellID->1378134869], -Cell[193652, 6138, 330, 10, 70, "GuideText", +Cell[194437, 6162, 330, 10, 70, "GuideText", CellID->2081581299], -Cell[193985, 6150, 318, 10, 70, "GuideText", +Cell[194770, 6174, 318, 10, 70, "GuideText", CellID->458785969], -Cell[194306, 6162, 318, 10, 70, "GuideText", +Cell[195091, 6186, 318, 10, 70, "GuideText", CellID->965355169], -Cell[194627, 6174, 342, 11, 70, "GuideText", +Cell[195412, 6198, 342, 11, 70, "GuideText", CellID->839585187] }, Open ]], -Cell[194984, 6188, 23, 0, 70, "FooterCell"] +Cell[195769, 6212, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/Index/_0.cfs b/FeynCalc/DocOutput/English/Index/_0.cfs index d7817cbb983f5bf1b3af86d9ce5965b41bcc529d..00481dfebe747a78b2ecd3b8ea7f67f261e52c82 100644 GIT binary patch delta 428367 zcmZs@3t$sv_BNh#&il?KX_}--nx<(kr4%Tol#75|%l#^H6A%G`RVfIFpooZWL_}0> zLV(C3Dk?%3Q4tjp6QdKq9Rm9*L9KqGsX4yegE&*Oq0pXWMj1(}7^uc&EqW~~m~xa#8gAjztZKmbC})|k=Bpb0 zKd%dV71!FQX%(;FoqC175`!uW3BAs6WV2P zHqe3dDJL^Wo+59?fBsTZ*_@6%lVr=Q=Sw-wy#tANDVXZ%PYugURr`}wd5Ny^RG*^c zrGaGUU~-s0H9nAP;ZKbVC#Mvqs-wy7$$AGRRQz{}rFs=4yT(!@BZ)?#)EiWgY8*^` zL*ZmaL23!*C8rl98`bhUYZp1~aapIh2~V50iRN&R_>Dr#HE&Q?^BfwU;HL?<=ii`Z zhyAwwroGE{n&h-i4jPQbS;gB<`=Ftm9o2PTYt#>PNN)FR9b=&kDN^_D-amh!}XG}xUo7ZO)b#!sH1z2-83?WesI2&}ULtMpUEfx{|e9pE-wIG0aL z0B1U6`2B<4BJQfHue-&Y;$G>V>NQIEd6o9_y*AF6u@0+1;6csbFpjUa@m8Z#yoh!X znpIJwzu}7Ant#AS?=WMjwJU1OTD#WXg8$vx`iR|Ixt)4WAR>u}h#~)mkJ#RH503EqR4i0kaZjiwDYE!VeSl%np{SsnNMQemNH^)#@Rr4HfLH zv`*t*AtK77^7Cxgkyb3#n~3F480$js%6?9TPPG5_PMQ40Qtduei(?d#b zw13~gNAZW$4jk! zSRFRTN=;_0HxDV}mo{ z4nut%R#-i(wwutq%u9JI|7@X2pR)|(;Q?o&PRQ}|vx;xUo3t~E_*Duh^!KE7))DsG z6R=sglV>?MV=c27%OPlCMAPvga*Ikj@s_)Q^m8(>~la%@ZnOotq~vEz7^6Q(=ovMMJKR zjqDjO>yL@qzVJ^p@;>^7%P!+!uq&@2&q`KrQ+z%-9W!#Ba;eiiF?m7%Kwr`-f-QBq zt2)lwuER^|Q9?h>hsA-ZS)-t%Zi3ovE#K5h+6C=5@3YrPU{zXgf~NBGKKp`359abF z^ER~Wj6Ig0Ga1c0tj6*lHGKGC^^VP0oNqYWSboZ6KM&;H%6y8T6V+K;>J~n0^Lz5Y zEC-F8&zN_@&bavBtR{Y}xnzHKshgU*TPTlP8n%Fr%)%=77l?Nk(R!CqA z(1t&BfZWoI+hF=YP4keXuY6EI(h=POyOA zuwUP6tGZbr7dr<^2~vSB!fq^1za2D2X^f*EHu9QJX-e`6d6&Ktb-?N3J=%HAx}H7N z8|j=r!1K*T_<;ZlnL8Y%wnx7SY=o8X$%58fNHT}K|0L+W5;;d(?C?|BaRWG-o^=oL zLgqX!WQ@66c zw`rF)%#+#I{1kD&A;EYP{ul9A*-!mcm>$MYsATybYqvJAI3RgG?XiAV87-IC01mG! zX~LM^S7FVAVL%gj9eJ+Rc4fDT32wp1ovAr`KJBA<(AN9y@r?d$!bi+SYL_)nMW3R` z2{yIQU<}R0^G|(MzexvVjb&0=s#ei?(p9xo=?xy|PI7`?SNa9(kBj=wpc83a!_l8W z1(TqGCF5oRD4yV!C*`Id(TW{(LhXU-*`vL$a+eiUU;iTTMsVN>i21lTC4NCp+P|Og z0QwFyVm_^-`TACtewdiGc3rzRSrIgLzg?W{mZ8YFiawR4JK6UQ-Qjy(nP}rGM}gNV z@{Be5Kg6rdZwxxcN1)iQw>}_sceXf>!c7{apoEM&Mw?oTK1*^_%Tm2t*?TQX@Sr2K zg3j|Qk{OHWUEY!%l}D99OiYghFoF?}EfNg@jb$IoqaKZN#)VUzBgsDD=-6;%1La4@ z1q-TYo+H!L<@S7~-v^-K^YTpQ#z@Q^Zedy66BGU3Y(4<;KnDJo7Cm4s7Gu?tIHvLukI7fv+@ zIq&tOsRn+mC+kI%4GU8Z@{+}YL}@J5s4!I)Pn9HH;W4v(`+0U*_*LFZvnH+P6BM7c zk6zYBje14YX_}X|o-u^B$|@tFUUC%Xn0yRzGr>ewydRSt*i4kHG!0iyPEJ{mNrCp| z+A~g?d)fLINuClJ;44z)*UJ5*FL&R?c`d!CM6q2a>U~; zE}0b!>$YWfa_F7J**C6YfBG}>hbZ6@zwcY^7~c~V7}Mt?Ls8hpdASRe%gj^k9t99R zI~RIeG(^5PKZH?rNxr^E$#LAYOReDM8Ck6efV6xoAF=LMe43J<$~xMpl3$o`EF@~k zMm`RhrIZWmwE%v$OE)SMRj`5eO}$$F#A-X~g_K)skDC_XOyj~sm+(|`>O*8~Gix)& z@u(V58nCmSV-#!CNzDu<=TKgVT0KKkcJNok|6xao)Y|_Q>0Q>BxX^j2UZVGz&Z~yb zWUnrwh+a=-`PA%fMbt2TsazY1F62;f0|mpFb~+|gOjyYT*YHjm^bAj#XHNzat)V-G z=VQM^D&ugWK>2)cF@f{ zkJ|nUXHVd%(|#T_9UeggJ{{uG=S|F`bwpD=zER><;Suw)$Kw?2-C3`fa0-*uWqePn zU-PI9e6PgPTbZeb%91EhgT)WwMi~?{PYlyVtG$| z;c0TyTsnu>t-MTNV;+D!$VCgI`j1|q&tzX6!^Nr^79~@aO6Zde6Ouihr05vO%sc=e zO#;=^*(LP^Gzv_PbHsaEt>Z)H9{oQ19<;oUa<9Sv2GTEDyk70&&D=3Sz|2h`XiaQF zM*ye3NxvE{_%|B~=Iu|}F)4Z=b4_voEzcA)wn%1ky~gRd-yiY&^ZkKjAg{phPx$>| zzdz~s2kW-uJ>d7p@HG&O`u%HYtGQci2+nSu1Ep?z4DRok4uPEiuHCV7u3Dp3sXtV> zqjDXXgu}L3ff`tsHEN!^sE5jXE>8{AB9lKnQd ze-$F2%vu8-RBO+glssU~0fDfJ58D})1A^)DRH1RT7Z%%KU%TJcV8?5@X?m3V9!~!G zNv=1SrrykhHqr`pC-Y4Qc!7G1wSySvSnKr$1p#(m!S~5_yYC`(gFT&FZc&}oR~pAa zLV&`5Gy2F6@i=MfvWcct*%J3A1M$jp)a5_SFH0Z~)C1wQ<@A9l2rdI%YT;TRt zn!0b6`^XVzmM(_wco5#7OxvLfTRbGPhcMGt%dO@x2^ovg^1$V);$OmbyB6uX4`_-- z{Dqn3b$nX=&ym*bU!-pT542jK66e!z7tzDNoR5DyZ}&J`0giFv+Zmsrj4r|p2f*yM zxNcDwR{%+zefYSzI5X&^>AaxKjZ#r14c5M1 z35oekiD`pvAc{<~aU-q{XFn^aeu6&^DUE&D`Y}uQ{&Q6%O$ykYSj-) zgH_X}!5Fjgj^OfY{zBwSa{+jYpvUEo)q^CXk?1!qQWkJjw!qp+Q>Z@AJPPV4b5(-B zq-*7`BE3ST8?rl^P;q2-ATlNp;`gA3@HdzKDm)?4b8lu;d6}`6;1`X~EGSQ<_c^O> z_Vn>2tH+4!q!IPd{qdGpaekLZ$?OQ_q-UF1{T%d1Cm ztG|-*76+m(?(JT}x+^?TY9BmjCTnfT71Y&w*=;F&J}=U0zkDV<#HUP0Nj;fRf|cKq zBM6OJ`65f#gq!|^YuQdLq z64iBr16J=r9fZHrYJ-M;k2O*j0IT+4P(2m(^+|<>u-6FOPwGC)r3U-UCO~d3KteC~ zuON@JGSIu)cF6!Ekj2NazzX{zWw^{)t&MP9KT5!DdRWGJbJfUJpGrgKG$gpkaf-AA zy-~#dsw&zS59Y8Z;svrR;+v#nkIF?Ng))zWahG&5imZ;(&ok==_T0@9e1QguJ&z`< z|44r6BE3V`@Hqls0%9|^Lc4MUmucOxYKq%2QK0f{gCl$V2x~j|zXPL_% zC!d}}u>lqR)=&rjhYH1GO8WHcXmG7tIbunBb26pCXRLM#c z!<-CU3Jt0P?@~Y)Cv{kZyNb7;T^%p$lk6hb=|Sz8|3SfmJH_vJalEgOUKdY*Q`hP-_Ks-==us}7`P@=wn?6stOkwT~%Y8(J8y@DaU@XVD^bOWn_L*-| z3oafWPEK7fqbJJ|D6@6cV=XV0E%p-ixmG{Zcf<>fYP+)6fa2(^A5;(&u1`v?4FKI3lEx9 z*nAbDKQm&DXCE?8DiAgXe@*hL8hyg}fj0v=vf0oaQY<5eETWNi!*8g8uBDQzB=DRH zhUsl_S-rr}%_`G@V2^TpJFTWkV~S%UH^>hXEOM!)>hgMQT#BB1L&=YhyKy^C=|ZEo z{L=DkmGKv-Y|(6i*zu`GWxoItq?uFX+-xyEHy zp)xFGCHNCj4IIphfkSI2_x=YZo+B4RXg#Vuj%D!l4=@)eZ#o8Mxy)k+7ja$$5xpO1 z9t=Db$!)rkwG|D}4>%q65C+BC&i7%qJxbO#-ktr+9ehnBC6-r=oIK0GmDt}vf!cyG z&+KepN>=vLKl6>^ z)r&T|BsHQ<(QU`=e%j2{jc`hXH!2vA&fFKProG;fz(8D~b=@wDpB8B$-CDg*&`S@p zf=+Rc>gGAhcFVW1t#}&bU*9w>yeDnB>e#fVGF`L%2dqTzxS2a1q8LC#tnC5gu<-=( zQtK|nC#eA3xDx}#7usaCJ;H>@qh}|_rlmb&WFe-4_Uitn8FP?JK%qb!_R=l7r|zyR z1}nG9=iU%oOLiiz^kTlm`?&b8&?hd&pgIoOE-UQpAxsTS$)T)mKFe|(U$mVt2bh!N%Op|9xorn1j>CvoPi`(c5xA%U9 z))>hHwo4_`z-F7MyG)U`2dHH*?K>&}{!m+D>Ou~BgT7*KGbfbpfT5~*b;In1DoPIW zObh1U&B6Q&h%>qjuf@Hht>N|ED7wn?1DCERmu>K*0v_%OR-B@iLz3R~MlQeRITcF5 zCHsNSsI~M1IiB}Y`OM(a8#C{ADzm)qyi0j_|J=-Po%%%whDXJ^AEEe-H59*ma{Nnj znJ*IN(9z7;s(82Wg&$>m6IAm&dx{H_H5{mqdElvBM6-L@42HFT+avHls|O$?m>+fJ zR0Mn>9+SgfX=9e%P2w%dY_DoQ@+S(FZl%1u5qTk(9_+(#lA=C z42+}coxf?}QSvs0ihki>-YHGC44vh(_wb-0;nG#)@;I8LL~K2uug)ItLZRSmQrLDr z?Nqc>l5G?Gf)xLfnbf&oc3@X(L}uob&WoqQ>5T;fMSeeA;-o(?G!Urt`G8`a6bSu@+uIM& z*yW&BA2}KtAZMpa36(Jp?bWBbfSjiLkVs7{2n4jaWHjBJ2^F1=X&`Z!#%QMA2g66DW zRrxJ)NA~^sNFnG9N2!2~hK7EG>Sxc-XUM^nSeJ~%7X$r&K{@lSI+Uxx>Sl~v!92Qn z%-v)n@M14BWC0Eu0BxOz)0D7G3CRta9X(QkPVVnHe&go^;)y*q<|xU0+asF(JF6Dz z5Whyo)zBu1e#zso8FGeBk~zxC@=Xg36&o`=B;i#~knmgLwKP!ep)HtlwYK>*RN{UR z4;__$l^+4y^Gj9Cj+IHfXAOv%i-x6{~%SDaO1pH!W1RPR5XVH za~m>9$`Ww%dYI7f$u<+%H)b=NGMDQ4(SePZAt@)@r8m8jdGv|CnfDvTv!Csy`pX*n z>ptNef8ng8vaj`}*4c`FFg!mlV1L%XkjpZE>ElT^_vsOK*e)(k8a#pR>e30^a2*w~ zS<>11ngX%pdYVVY*K-nnKq-KK_z?<(!`o;`8iU1lmzk|rQ288$s6NG<`@|8&@5%eM z0%~@tKFMhbldT5as(HsQk$jHMQ?i8OkEw72m;6Y^UttYF5(6P-iu)$h%{A0+w{Wlt z+kNG6TFo*;66$KXy`b@35^3;n2k7iE=CUBtI6-Bo+udx-F>$yE&o5NVJAr4R5!C_9 zd7S}-NDdz)`yG#Ah~ksHhtFFVUoM2zqt|m>`au^?=K~1+FQL+;1zdX@TJRg0FF6@Y zEEPr1UKwb8q@KB*Bqh|8i)lVVUJy0lxA(mdsPhag!_mDTIqHiJ3zr4_luMl{g48A zb^bO4PR1j5V91x?^>NBOW~?y2V)dl(DL$|CJo{$&g|l~1Gzm|;qRpfpF5J`4v`vp& ztG_T+@({f%C#Ad_yntgo5>Dc2Zn;Jd(I{TggC-*3B5BTALCya{d>C^KsXohz?KNQ1 zCV{p)CKwzTl@;{0!QI-9_66@@qxx6cNe3N>w*q4FMP}S(A=;S@Tuwzj{N_Kos6&l2 z6);9}n>2#Lnmy4|0QVwS<|@1VUASF9T|ioiPFkWn=0CEOWWrUOIrYEn{Qi^I~9FI!M(D>dWJP zpgVTZ7s`ak9sQL1e-33I)$s7Zz!f8*qBJ&cYBC_cF(p%_xkm$I!V7$!19^+|al@eo zZ*WM$V-U{eplSDQ zV#h*6>wC%hnF^XBxY{0BXb`q}@+KucwG`eXFEKBOs>A$%V02_LGJp(_FoC*veKNDQ zFp|0P^8aM@AexcQ{f#XrWL32Fp+Pt|bJzO4WT$A?lQ$ zN(ED?Kq?h;R_Ya|ihaqEI{_j}PtlAvAR$`93iUgnf`Q+?{@6Bil_WdyQu|FAC0nw^ zS5Pmc1->^pNmk~&!Ha#Z`HE<&BtPCPTCZs++$ekFN-oTH8cHQrDYS(WUoi9Dkb2Eo zO$)caF+YA&FyZ1ho9Gh5L4Xf3?3WApR~}Xv`Fly0Q@||`lDaFCyrQ6Vm%zm7WYhys zpjBKj6`a3Z)v|+C7EA_AZR>bEGwO;GySttiPHx7`$`%i!VB!_#_U#8q^I(5u!W^cn zWt~Kl^N>(j5YC>?Nf++F3WNAyxMq|Ot9_hLRJK)ry`Y~1S%y-WVe>Q2M<>&@0i>j+|VblNCG zvL-@XyLeq@+|Y;zd0i#Gq^^K3okWh%#jrHm&_Fkm$Bp0s=n6BtcsMoa*THue<@dZkQgla; z#T*pkhC_DndkmiHTg$O_1m&Q(JZlVtO;GLBUPMX~Iw6^1!^%xRy83!|PPX_;>YUj< z%-3*O=!&A@Pg7##YD#_p<(cdY;e|Hcsh(m+RwSZ@ZQ6{k&72<=4?Ao=Bhxj+QOAc1 zD%|pJjDA>l;DQ_TlQJw-iIze!yz##F0R-VzgdI zkw(wqTv82<|D{yFNt+PxD>Rh53CPsme48Kf57^7vzi^x)**iy2qh1=QGy$+_h34q7Y3!2mvNJ*@$CTnMt>;Qs~NK474_WJBP(ft;sq%4KsCkC2{d zem)Bv!i8jiD$yn%vU#0`*pqaa6Z3Gj ze`g0i%q{$lRH2GE6USM=aAhWsY|evvWgZ#XDxJvh6O8sMsCP@W!PsQudni)YI8iT) zGiKx*!#=y&3)JEKu7eDd6*O*E#A}bZir1?0A8>`c1R(itG42ryD$IGiUofN#oz07# zw+EcJWytt;fj%`0F$61}qaGB!1Fc-;u+jK@NRXwBeGd!T{HU03;^Q%gl6b-qnj_f=AW?aw(UeO~m7Vm`;}pMq|8$xEVNGW4BNck51u$4hLC zVX0?60FDYR`jhm`>>cGvzwX>4tZc5n0N4ikbk6>kbGhBlo_7Qzu$#d&F<;rw4J=}&9p`B#ToC0F#HKu+sjW-&RiUK z2EAy0>|{IqWEkIzo$O|YOUmF2+8*)Rv2rL&uP^RUm%ga>1h5je0n|PO9FpdC_UbX@ zZ`5%y`TU~-fm4(hNT4Bbo@y{9^#Lc+nGh%0*~O7*A7&pILm}@wWP+_&PBQeA`OwzQ zV+di7k4MPN208K*OoDa4b2E2AmwS+)pz3Q&&N?*zAZS5&!)2MKgywg#m{8g?zyr{*{)gAgtjFrtAAmU|lLZ_8NK^d6BO_qGM(+WfeR^|eRn*y ztT#$c^#?Btz_&WKqMx$yYHEv=&a)e!^S#;J8t$2%EG_c# z%bkclSP6ewUVgJs?8Z>!2EV_*-;W5zV&sX)14?~ltCP0Nox{aLb-yjtv6mnohFQQ? zw{Y1EeNFfzRdx$mi#gn6nbON)p5>4OOqL@?q5eX$%<-J`G6jbm6IKQ5>#@4AJeP(k zWOWIzQ7>y7P`fVGS?yFWi=Hf-G?GN^NWNSp+qi*hX(%NrT?vrPmVpb1WNC*KB5nZq zvr^DTOtMD_$!IWhDOIEzNuhdIt)p!`%Ijj&9H{yXxnnsgiwhkh9+olf22+RA%BAWh zDM-y%?=f-%1^NCUr94vt#op!xa@{k$nLZ$XOi9}wG79G9af(=?`>!VPfg{DV1PJ{^ z^1~4JBb3kZM+kw1MYKZyNSs0UgB07ygZj;vq|fvemw|(=ydU0O)3hMkol?G%fH!Pc z#|QIvZYPg&xG1`p+{h5F&TyZ#{Hn?-P3QG_`5Ac{YZNtXb%rLE8V;YOmr$ESXklAr z{G`GKxC1y>zfkj|Y83B7P(7x@fDs*}xGGwf4|SQ#2oJ^Z!>WMK3}%-<#lh^quc!R9 z-#~CIHa-{{6fSyMF%~fBO6qy;)oQ*vVI4ytWQr`(^|(-$7`;AY*@L{As%31!C77@3 zW6C;JC(fq}>A!;vS%(`R3)HZVc4^NWATM9A8>k&ROP^s@*&x5#oRRZ9vbel?vdcB; zxNm0oL2}%oZe^&oDXjvx@fXR<1KWuK6KK4hn4`}r18Y#YDrX*V!&~!#hXjBUuGn5vO`VQ&;yP#{*5s5P=MPNERzcjHU9+>C_yX;mi9w2 z9t0+}Dgu&_pgAZR7%FBsEOEufCE4U;DjkM!NdSCZF#l)7+~35#yrz(lCx`719C99M zcaPBhO8p1?=Poj5=r>`-oFbLCjSi0CzV1;|M*5M>w2@$MWxRn_Ma_Ua^YX-s2vjXJ zoN4+@c*C}>Be@I!59V~@h)Idgq1LVPg6%@#E5eb^q150|WM*D)bbbsZnaV-#Sq+L? zoKwQ`Axr?;8KD>`5F}i$KwJ?SaSOPl^l=K$M<2B2?xwd$N{RsilsDW$4BLsPfK&op z8lAoR8E!nF@@a~8*hPsBI9$4Oef&=_`f7wFSaKCCRKDRE0St+N1nxN>gmZnV$NwP- zPEF)}OR;87)Ii>)DK~f)>4eHOozyGTBCNueVTktY6uK&ulf!wL`zCeeBFX%H(k1n` zqPpWQYLi$**T!$`nOsR%B_|ImtV|bPf!KNtk|oyh>g>iFs5DXT=t)*ZAltEGC!1n2 z7+Psdfh!%H{q6?pUeIJxY)Hp=dVH+)D^z%ii{DXlpUz|W&0bh>p3dz{) z4O6K&->_#EUOivx^+IS|ev{B<@BvXXQ#hq>)4d>tkjLv*mvO#oV7Vz*pIV)(ue^;;y5_jsGU~m8n9O}>c5H?moH@YN;Q|8d={4JZTd`P@;n7SS>agIx% zu~$l@GZKq)WpTo(igL+k3Id`=yKIE8OS|)I1Z|sv;BA)EdVkHA5&&cdW0gmGzDCt3^;sYt&at z?7JOe$%Ppwzd)Q&jTOS-Upo`nku4S=+3yuLK!x865R573)wjrTnv$uSnn({uhI=q^ z0wBU=cJzUXI7FVXM*?-}tU6L+UaD-}N`ejB$4*eiEU3`G!)5)F^MYsXLGVz{(F^oE za|JA=@9m3WbJU7BF>_Sgm~}C8+(+Fe2+c|~#qiFatPhe(aB+cT-k6$K_JKqjyW~43 ztM@B7Lbzw=?w!|fWPIY_1Vi73iTYLM!qiB^vvtifzH+ddAq}+WI|B8`SJeH0b8}(! z?qvC5>!Z(eC(4{|)B?=q{LJf(D)D(`Hnx?=X1$X*k_KmF*M%FmYbSn!DkTE~$Tx^3 zM-)m!(7rwTSe;2ZhcW$`nIai z!uXtyEiSo2COi4T@C_sf(Ll_5w$jEOx(T`_ToxPIBEYhk_%u`ra*j1(A64*1QGM8J z4csB*iO5_;zQP9-)RvzE_=Dlaaa!JDwI9|IT(OIhgE}2tIGDEaP!Q+&QuQe7+f@b9 zj&{~%#!*YJc&d^UyYd#2bVr}Z7b_dj-dNcfdmnX4=`9=xAsMv>>9m_vEx0?+s~mk+ zt0S-{u{Xh)YDrEsC+dbJ>$LXe8D~^p9ul+Jl0k2C zDVcqn*mJ32JZM%{^{eOmh=S3t8F|*(hh~Dqva{P~QWW6m&`hdG8|wN{>F{Xr*n$+w z6C-eaK`~u?KTYr@mpeq@DfJX6LgO!D+=md_aU|~qecK7z7ixcOiFf(;1@8T7q?>j*CI~+9*%+2lq1WvN(dD~$L3~Fz09L1lytY> zX*&-$tU9xi*?CLvw0}&CqFa;k`>0WJ5e-j{D@$H8GCBFOs4{r$Vn>#sj2nvOeF2%$QKUK-%_Ib@XB&c+#w9V|FnXD+3rQ{3jg3-T=kwc?b)^#FEiO``Bf+wx}z?>f? zdiKWbr?aUjy&IWvz@8#^Kp*5F{;O_@rnXsVz%`J}pRL<4r>$$E1N6jb!1F8$ubir+ z0U*fmg%RJw-WPS=Dr*IwHj=wYoZ8A2v>ol6*m0raw*kAhF^#4kXZUA0m=4HULS~z8 z;TP0vnBBb@E*;cJ#R}E@H1&3NW3D5Zb`s^HsCv0UeTnG6QqWKP9Zt7aEd?}t6vsd~ z7#Z-jgz!Q)&!&d<*LGc_G=1+R}>ayJ63FH)c&ogbq-Zu7H3CJs<#tuYs+e_OaD zcpTZ0JIwMesQm~pvCbfi=!AAsJ~tT$sQN`=1T~I0nM()__kb(ZFj(gVw1=8;^R-5w zE}8waB58YC00kn!h%K9C$|+h3JQ#4H9?H{!Wh$oX?1|~~G^@WS#GW}+R^?{f`vQ%Y zX@^j`0L;Bjg8Ac+uj_pg`GG+07?dR{`KCT`F(`bEHq!uTBXXoiE2O3&I(&wzl7C}= z5Uy&@KT*d7Ea~(j@S7<&@*9kNQuOHkt4e}ui!3e zQ|uLp{09qMO{B=wBU6l26by&DH2ZOyN~qP!JE>zj_bn8z?5;Nfd z)N^V+J+9scvAzzqyjwwa9U;%mWAIFll3ARteh*1CE_X+Cy*;1w7~30+j~o z#4Qx-4d4c~c+)O(uW^e151jzD0YxxC2h)yPfG}QHS5x^V9BLKm)xRBkx;>8iorYkk z;{6Xp+laJn4wNN3Bv@FOt2*Uox9#Qzo(4Gyv(TRd->oqF^==ds=h{XV84k(xWf|&) za)g&Cv4A#H@e`E1HRra*{Utx9imu8j1Y43Y*K%L~Qn1pKuU?K>4MC_22|~NT$3IH9 z+J79MhvT7jem{D|5ve=yh>W$I!~+6Cy-g+_2Mq&QD*7|>NE*bh_8ui0F`N|AA!e*W z=;|*ff_Rf4DdThNdjB?c2YYk$UzLHL$mfawqav?Es?0T>if9+$7#5%mQBmM1u0QMhVpnBgQ(2I%7YguBcWK38=4JNb7}yyHHO_o={0-HcRbOrXAovU~E)>W?qIn#eoKd_t*5?Y@uN z)_<2j)-SH~g%xz^dGw%|BcCSUlZu-Zo)sWlxT9nTB*G)*qH z$Dyb1SSyS0T#No&wJVr>6Djf?GQZ7<76QDQMsKh`7U>_ zSj;Pzq0dm})~0NzL?ga#5w8~Tc`{gM7TuNS4dr}H!3OtmI5t;iXExqdnp7g4P5T@-6KqNvrdc)JrcL1G^}ah#r@{P}J+K&tHLM@ec14{0skx01V?8wY$^NOU%aR+UQ*tg{9UoIKIlC&ckgAgh zsTU#~&6C@xNAfmIWm_C&aViSAu`FI zu`$=-zI7Lc5L8eGzyY?9KH!sRtfW=jWcK036iZv`e#)!&FXWN!;u$60Z*)B%aJ}#U ztr|K2L^)p}h7RC-ib`tqWoi%R)@fRTEMr~Xldo3?NdN8v!9Roj+iV;nl!>|b(^?P- zZ;JUTRUy^<9c}IbiSeLit}ur>#sJGIi=2Dk17lx+_~hd>BbaQ1`#y_o0D!$82#`V)>=TbdDDR1D88U2Usq*zxDxP2=#bM8sxx}7-h6mVu@_V5HU zo9>CG{hrB@-U}$w#HDWKHZflg8Y4Q;KjxEb!7|7r)Mip(lzc~_)T{Ko1vR@vpFx1C zq<@A^ark7N2f2;r@|_BZWH-Z6!P-f|+giHS-P@{Xy4COo-tp|z_j}I+PRS{={3RzX zbu#X`?6W8^6kf7U+8DP(jt zKFDJ!FT3C%HyYHvY(i|vkVN+mMXkHWFQ1sWZcMUk>u7zKRCQ2GDI`;MpOPOz+KZfE z%n#)Me@4j2sQ3;{0mzUOd>W6>NTy4YrVSy9l}^kozAwM0`%w-Qo}kVAsa}f8$hIeG ztbz0vux#+N5duOB55kxl3zfoZ-BN(uoYEv7IwaRSkO6$@#OycAsIakTIY-N#ohcy8 z>yetF-5w}Q49ch61(xwg7%5a<97Qo!MTRb=5!vw>Y5)!|yD&rb$)DYvp}pxx)$sUl zRFwLRk_bX{O1?xbQ}EjrFZgDnqvS3L4q1UhI~{kXI?zc^yUDb&Hkt&TkCtv4j_CdfeJa6XAP0|H1tb zby6yboi3fDz!ycDNvR1dJumaw!UpNBT#$SM&-mI3oZ`erZ8&Q;f6*qg&8tv1oUtakAPvtd5+O%JPrvSV@) zS(HwesV(Vok@JpAc1YG3$t6nvEFr0W7H8}(ZQiz!FQ&H0Eu7DjUZDFp?7QBqh#umZ zs{s}eNcp>l0doOCRFzam0_GSnN%l^DoF3tjxtGWNOnNR|w?HA&!K^@}$Iv#KiTJTr z^`K{#WLN!zE1C{cVqA(RB;^7gqcjf!Z@B$djumKNDX3f!H^|ksJb9p`Fo83h7tc$- z&)3ACqg3iQ8lPH4ol+O*^3>aujt`xYnh19q&#W;I8)X>ICP1>q+fjTKU59DlNdZ^# zOel5c;vW5@h3ttSr=_{{lBiiy?h9AF#rdTf1~m-X>tkN0 zG}E#Wxd4nz*0XjL0=*82$i|zL;l_=NWHr@20s}JVvcjHHGf&K5Yl%lJ?v@PO!5%qC zoeVZ*JBFI6Xs4gO~gWO{o5?x~ir!O4n2Mjk}%Xkcg$a#l6MF zrq@K!zSzWrEwt^0`;!l5zBrruj0@6*3bml|pAk~V!?^s8o%B}BXE}yMC^Zy7Xgs{N zrFAif-$<=A#CK~xRD&Dvw4NXsd#xRnVTNI(+x*3V+=J>eYK*g_dSi|tvX9Syih2N* z95A7~MXmq+Nlt-V08q}sXK4qmp40YP8$adtZXM`keFk5^rPn4qIz9+bE}>Za_%FZeDbP~@KE4lwThPU4w}xtV4w z=cZFDIaRcTU<*aSCfPRr8qrk2Y`9$y#5Z?$RpoWSj zbftE;#bbPQ{anMy&2-7eKy-iiPwq2v;A8rxqD~`IN2qyf9-dfOd?)?Kl+V!$8;oQN zp0S?#%D)V(-E7uqOaJ%tNwQFhcB}ki{lhtZ-P=*D)jc8R;!37An+$|5Uc7nT#eKMV z_Sr9y+2PLa{gQj62i|2&k6$$$Byj80%g)uOZ*ne=_B$8E74%btR38%+*oTd}Yt-3w z_z>J758--UKgTedB9kyjg-~wR$e)jZqTgzUJa~DD-1+hp+4MOB_DKZ z^S}?{9H!?eTAEiNi{c$mP$tY1M%wRCw*J^)vxb&#=3<4yqopJ22nJa;M zNU*H$%uE!B8qGA^MwP2`C5&JdJV;bCm1ZlSq)zDukuaSV799A^YTzxrX6KPT*Q|HKtOguGP}(Zc)Eb7@4N0t=APhT;#a*9IT;fh0s8% zA9MH`&}-n43}hTk>^8J9P{brZ7)3losM|?OFQsQyqyc8|L3>Q@0@+k|MxmSGuCa^todG^@AG^v?~5l+fIV8L zayAg@$PLVteUY}YMG;D3)x~HLZ-L~)-eT-8&_c2-VR^D1^QNNd;G3TSQd*XFp-h8` z?WZq9!`)oQf-h;P^f?y8qOgNq!AAi$E>4Oeh(hrTdlaP7vN9(>0??jCSO3IiMnH!?V$-2TUaOG7U9`;3tjDS6Wkb0gcFpv57SmcZnDAHVlcf2`?hvl@K5W=TAzi12{yVsjbV3YQe%^e;nWiQzj_f4X{A z44{R1-%>R<@*K+rU>+IgCGnARjLJsCIn11!$pnezl<15C2J(`V=VCuPO@qPim4*h6bEQCm$qN zDP{ZU0c9jwIj$=ZK1F2*b*vXTeVORvu%5BRY_b9oN*0FtNIIqP7KN)f@;DW3QQyg- z$Ti9tbrhmA8@z*hGnM|H>RJYICM3>KL^ZKbaJW%xokUNe%&(zvEL9Exf;85yBA(PS zku;%%p@Y9g&*EC#490A|isW8Y2T(8VvyrkS(p2ysr}I0&XIw>I7knSe+l9?*Ty9hr zYY{M&R_VSR>dV*5ifSk1S6Cn!l!FSQGe&+dsZ+Z!$CVmbBYd(GmxDppb=nM1g$rmNvJ47 zOHrUhlnq=BxaPQ6FLLx<$cQV%1)$0a+QH9f$P@n4c09yIo8^e@QC2Q2+h1B9j-Op zgJ~KIC31fgCP#_pTP|#aCZltSZ<8C%R+>xodSY!2SQ^e8t{*JI@&Rl8=#s$AalRi| z?R$wEDdlTaV1$A-W$V|B2?!eo)v=H#9XENjMLj`?Zy6~ruG~UcRitPY%DE*mc_z>= zsG3Dy0<`KF8_}bxheoYpTnvfJ4cMWZnePE(&;{yiDuYo{FVhcP3C*i!vK{m{$oDOJ z3goUb5fGcH#R>pwTEmsWv+TTadef3oh?Npcn~fk0qHPC~ED&p` z*jrV|vnmeF+&+E%vRK!ScfCylZz7?K&PKCmH*EvqgTyiVEEKOOtvRa35C^}gqH{VE zq5#+b3OK#;7D#4dS3go>AXNF0sO>p4y*B;QvS6y?Eqh6D1G-QVNMEs0^N4s;WIsb9 zGwD~VJZJcxt;*~C9I8?Xf4g;X1L~}U7^VQ1h>8eU0^=_5%McO@+39*ljsR5)6z@J1 zCFm>Aa?RW#R5(iitN@E-XYa|HJbv$49i@hbIQs|`4F(V&+LIHo817@2p}J(CU276v zcDuyQDkxOml)mZN2HKZ2dN103r_v8U>+cA(9`wL)AzeX03!IxG!O=5S`S^ZSKE9Xm z?*J9g;#fwe6PYbxtAS+PS!CI+d_9R71q&T{FuDoDgrG&En>*v}Mvd3un9c>0gtlgc_uEMQTB6tDeg>;qFvBJNr zuizF>{l@I?pfx=U7)`Q@lP#R=J=R6uT(oDmQ~ zC3BU9ilLCT3RwsBKLssUvQ^!yk_#%Shd9}O?VNU2Bj0G`ibiJZhW@0!NMEck(U<9n zkjOTjY}d&Souqc@WH&N+ME46&s32(lCx=#KFguddKO}{ zCYD#b0F0EXh{jsdMa1Q+s+qi%e91h4OBfofxF=-|OlJ_iz`}^t@fhaMI$7QYmT;JL za#^{)h8m?H8mkmcTe!hXKSuL8+d3T+L&n!5s5N z9JXF)=49e;masaUEKp|~ZK?E3n@hw*0T_AsA?ga4*g-a4YB{iv*nDiS&dL{%!hWj& z@SWhvv&!i9&nZ*3<5^u|i#cq8gfJw?=asj~?<)b`8J znMRKX3j{{i0R$FE1Q6=(r`uSEHMm@#Ksbx7Ka%zFxM8&6q9e3a~PRSb_L<1nky{p4dF%OngY49s+ofwF(6_P-BT& zZDlr)sC_=0u<8y^w?3@0Ch5vSZ5S|R#F7cdHe=2C4t&Y&tsob0k*t-nAG3)^08Jv* zP)?E`NOKcK=G~a1OnM`_poqOFy9;rPjMntWR6NU~PZ)c@r{S!8F5HlV^n*Cj*r@-W z=5t(MQ6u0JM8vQ6U1MRUpQ%>y+HWSJk8FC_+ z5RVgqWphv-irM&k{AM;%-4D#MbFq3}56vNIj?+=Gnv7efq9lDqJfw0j=n|N--j@)j z%nio2$Ja*}lN0$0o2HBO>=$Dx{Y&BsLhvU3TMC$da@a8m=7XZLL=i*ut}Vk9)|+|F zcHa}ihqjgYO789^F%wGAb~6-eB?qg+R^ryYw9NrPTkVjo)uFSFvbw>Zw*}-VRcTl{nUInw5(m ziQR`IwHZUCuWBjZq%I*Qhir{#0EKbZi!tlu1h%EM3@GxF=}D_|QXQ>JiK}=u>Ypa| zoC>H`Th=pk(sCeo!knUP!gmC(-Q{YF!z5FiDBnQn_e?VMZso5-G>LWQ6IT)Bj%%0{ zi@*Yj!vA`@7`nC@)l6)<32m?UiP>zPLDZ4i9KeaDVDx|zOmB8lrwSaKNld+iV$85M zkFcz>$OMnFP76>aGO@XQ$WE$EQEZk4cm`P&AgVD1Ysw<>fudM3y~ScI7IKuFg0fq; z*0f6}iz|X9T3?S5`8DK7Ha)YMloDhAYosB->h?|Zexx-tr8=TlSFaI8;IlTErVf;)R}gp*^0DH{f+=JkKkCga=@A7D6l370*j##6%$@8j9!pJQ8=2re3VS6Y$1w1j@ zBvYWoY@)BL+6*r9meu6Fadf0HVL);nNhs( zrqqur?^aPZbQ>UfdID|HF03}u3X`@A+8MD%h%sf>28q}Vq!iNy<)2~@~K`e{n0T05nQ{v4szOwMFK;KOTTdr<$BsVT%YM$ZTBp`ttO z<-z*jX~TrAHQk=IK&U!Evy7qD4W;jna2%d6EqOR{o0VHHD4bxR-UvX^?$;Z)IU zUrX%ZF*_WHDLM{JQ*}5%UHl-aGAYH+P(F!e@od`AemftG3wj_f2M&RVDRy%<%56PX zvv9T4J7YUl+e%ckF44dRejN_c+s2REND~dSTTr-xm-(2ncF;2%7k!8rBrzU_CC5mo zCE$ZI&@(y-SICviwt}ZWZrpTIv>r7EMMiJMNFr>ayyOf;4+3!I*?>`R=j#A}C`Y;2 zEwWhgI*!9#SvSa}+Nn!8RH#0Vb_$2yA+IqF(xL{`qq7Nt3Rf)PO24z-1qiy+UCI4^$N+-eo!X{eZ(boJ1BS-xN&ydoxHWM5mUpQ)lEK!B?iXx=fskQ4uDvPOLv#*%r>#zsuN}Dl}Kw>AQ`Vy$Dt7N zCr%-0wox4?HMCA5uByF+`0K2Cn(av9!8g#=5&MM1ntmd;>{Fbo&EhgXlEqNTJ(ym( zAxCrDx!vOHqNNXR@C0wOpCrM-=sl?DEndCtV z+Lg6IbrJed>%n9ElF*$*R}l2kE{A1`!ss^)UAV0h!+@FwU9NVoLyiVbf+1xA`=2=AkpTo|bQ?+c68=E920wNJ<$k%1$X6U~E#4 z^<=#iUnAOrXG^LC6^&7eieSIik@7GrqUQEEDPE~v7`4v_0HQeReSik4-lc)^9aMgq zP!=r%k21l;cw_@U>v2~7yvn<><2XW5Gzc|J61TC2qPQ&A#RZy(tQ1!-6FO&QY5Obr zIZ^8l672RH;x7dFl%V9glsk@+m`RO=bPL9oE zHjXXWOseXs5;Xx(%;&ulZOAzm%kTl>aIF$1%Ot&pmPNBIh*GjO3+e}e&;n1Ct#;a&%}uc|e}E&xwv9l#Xw5lX=FFoh0PGpGV52d zt8i#pSTpAt<24q}na;z&lcSW0r8xshmeI%6FB7|r1caua*%WB7n9f9J;OC$Ga<3dE zGkLfHh`3#8Gqx~&Y?D9rAdiA}vX88n0FIx(e){O2|I*Jd%X|FjF%8vo6Y{Z&QZ*K& ztH9qn3?mqvCp&vm^k$FKF#0pw1y;W`n7l&+OS;lZBw&T-00gMVZ$6=Ed#JLX?G*Id zcNwr*JJ=d>f)q2chTAqs*c+Q%9y&}vqSGnRZbykr%@3hJ>p|F@9MYl4Qa15G{U6W1~&TmmNSo zuv)WgH@i_8v6UVopG$$+U2L6>nRNiY3>o!z7~Mm$HW|=EL|q0KyXDSlw*JciQ5R>l z)9kQt?4=(H`ZAN>WGSa{TshDdDr%Un-|VjVnES$@*J|?Du|od9ttPHR+O@hB&fH?) z`MXkIUol(9atGO%{ffz6>8eD{cSXADHDAgA2p@m`8(KFP+p|!|8n;wKn*0?cRVAt3 zZ$6})l_8zvtW!8B)hKGqgmpEzfGWsAcn3hIt@7eT8S7+SUU_FOL#Z5}<8y>A9fC3_27A zCjzO_EP}QDWV-W~V3EHfgC=ZiG3H*HFWmJIc=GIkZnE}B6o zf;+`~L_Cu2`g%BJUCLu^Ol-1k61_oSW(nIG0T08nbnc>hXD|S;X1qXYW5JQ(-!F7C zv?4hUgayB|hLk;ly}}y$9g;$B1CRwr$=VvfJ;3}9kG99@+lxvy${Dj!GqCjEk6M$N z_KOtu6S_@3$!j+!iEG+cah#OGy5%IoLn(rMiiy*h8=x1<>>N}!G!uf)_=Bj83M_7NmI$OgYumWmBLN{jADXQPfVpFQ#L<~2Mw}&~ome=mGiip7`WXcbv+^{3h0<3w;15w>npoJW%^@Uj&yo}^p4DZJoBG%H8UG@zB4AW~*j}d2cz{oWnghOo7bWZ!RhubA!=cAv zF$pQ{iyUMbU^+7VWvwu2ok!aQt2dstX8UOeNzPbXL*=(WvWY$a!#E`6xech|4mLHbDd0gZYwZH|-!vQAZ*2?`d)r zJhuU&Ga@BAK!L{syAulL+^&yjUn4kx(UGkg^YTXAF7OxnG}9Oh$GHinktLu17kfPItc1}OutkFiAF zILPj?&opfruS+X4al~##gmN=@t}n{YTP=3V4k<9`PlC-(z^$X~EsEv}l}g`ENGMv8 z%}Wt$RF`Ffjgcr-yiNfG1j`su{fne-FCUc{^C$;bQ-O*B0Ui4@o{}JSIWOQ#|5Br0 zXb79W()b^sLXG1hS7xS;S&G)C<^&sqeTxCazJr5Epz<5QzZ(G~^(PHv7~t%wCRWlN zcqDm8{41$*@E1+og@LyZGN611ZFhn{BvnvMY=MGuVpzRhF?B)t;05{aOii4{&QZO2 zf%H{EYv((GkGNkK$lJ~-CNYOvHi9M*kt^{VobTZrQ7IlzqPMDMU`ej$&l{biEO|43 zoX7e+3_d;mM8h0xQqaBy5`!X*wK}nBs=A6SlSOv?*FbwJvFkf|sCE{=U$8m)F02nh zu~g+csh&eM4RDZlWq>;OD^?{P8vR&0*H{C&O*%Pg?EjeLrH-N2v>OuIq*Fa949y@G z5oW%^V{{X-jV1?x%{ie=qEkX|5t|xR^+uUh(oeI*OHa|ab5IzLRWh|Csohr0RAkX*%%-=mv{rl=V1OU zo+0X%uarC^aSls$=5QrzD)VBffO$IEEJHw2S3|;POI#r~R<{e}l|K-h3-cmo$L9qU zqh-2X*_!5PmQn{=8ZC^vVz7lTH&kT+EQJ4vTk8sQ5mB4)Q! zs#KK0?JDGU5-5L&A?G#mmk7I#_3u|Q>IAtSIlVnsZIBI#AldT5(g>;xNJL*s9Qis7 z5!`tOqMic`4wR`>nI_KHVmY+pBeE(*z}ngmXTdAtG#!dI+|6_zq2={@2irHKA0*Jk ze5KP`giE8Asl%caWiiV-T#BeAs*4~EfJtaN+pKN{&x`+oGb@Mzh`7_xr+QG5h)~>e z(>2l(4zkqMA6+%5$q1HDGxOuLhzpPGWA;QX^a24Z73X(}q&{tW?^E(MPrtv18*iK> z(}-%cJVo---QEK^-4=6U@^`TG;P<>xm3ZhBsX>uhPj7jzBvoAC%rA5}Tlrd4IGp(| zZ*y-v>UNKH2cUb|*Bv-X&XRVk(0bgYE@mLgts%AZWNn@z>#DO3MY4n3BuJ05SLDnf z-!=|KwxNh&=@zn*c*vs^IqgX3pCG9yD!O`7?T{6$d6QV2G~2lQGzpiqrth#&^F6>S zV#&kJCH|%=C8F>>0BorrNT1z^)2pFB=;V|bDddsvslNPJR3Nwv6rK~j>#3tItV!?_7f0>7h-a&K) zP+{@&=egI1aub&#^hzHE`gxu(ZHG>*O4o?DxH5~!@)sfoG9%n}EuyOlL_?ba0fEp0 z6U(q=>VA=8$3+^An)6)p^NgSN^p{=6gV^<0HqqpdVgNpa(MP*l0USi$hmwk!TblUZ z;<0Pjfe)LBd}I^^A;D2Sa$7uCogj|xs@imEv0nOO7bu%JFS{Fjh{$YvrYF-r0t2+td1Dn zOIf$Hy+UtoqQ|iPpFmUP5rtLn6<-mtN{xzE7#`qbS;kBqx1NGur@GXHo`@uqE;FtV zN^hYc7Zw$umR_YoxdWy#}i%7Vd)dUye>rQLSHeGr22PcT;#^UHlc=FFa&oY%_2I2LA6>Uf}f4 zgv}9A`aI>suObM(q#3K<;fVd>bV@cR6M!#9$ft>)pFK{sBZ85)fNn&^>>U7|A+!7h z$$ddW?&|f|bWp9DDN%+>z1fTj-P&CXVqg?JdaSY#H3b^!30cDFWR55v4iW#X%(r%m zsZ#o~5$y#|WgnZzSobaD8$SSlwqCE9izw2ZWmXm1$JMSW^czIJZnNflVxOV3HNw)6 zE+9b;Lje z)5$3Xm;T>;=w}N3Ou0Iyq?}X!UVWdwUq7H9f{oi@{UiN|epElEAJKt{h zI$vF&ra`@7Pa^eLtS(WPsms+B>MC`mx>{YMu2a{l>(!0wCRMr?Y*n|Z+tnSI=?|*A z)ZJ)8?^E}~x$BU6SUswKq#jX^smIk5>Phsv&ZuYAbLuzhc{GFSRYSX|rY@=913dc! zR=+FiY;C4CLz|^7(B^7$wE5aXSPws`ErL|R5+rfUwH4Y*Z4ERYS81EHb=q2Oy|xj# z;}&hJwoTiv?Lfx5OWUi-?)L%hAT)0eYaeMxv}4*)?YMSAJFT76&S>?S&iHxlg7%Ge zQM(k?zSn+$3@!k#+6>5t&w`-FY<-SCS5NEn^#umGLIP>~@4Y^0>bOp430==m7WXJQ zfYN<(K3ONVh6k@7+$czmPy4e8>wo;i#H*rY|LCJY$qo#(9e?L*eVaxdmd`o;Z}K@WfX{jB|L1c~NBlpZ^Z$*{ z`5fh{&-t)qds7oYQ0|H|k5CHS28{IBsjzXm?%200BN;otE& zSN_K5{NL?zt~01&{i81D|JfGjNH8yQ=fA_^e9u4M+Wco{^8x=&*5*3Br%hn&=y22a z#sL*Ffd6DC^Z%WZd8g<9Yn;rxWSq<^3cY<>1)H@B_qi!FpnasMOZb`p*-qwT;bcA$ zPUaII`2V4kx$={fc`HdZ{lC=7y#4>Nlld*;GpS{s{h#V&ZYq&NsuWgxFuj1zvT-(x z3`eoJyOrdFs@1v+ZGmTNtmH#f__}tbJ9~5q1?~=qo+ke2sBoY~G&DFG=^ODS;(=UG zw1YcxZ78&odc!S4;dbFDh(!K2QGXMEY`8bvIpMAFd9HJYQ@N4$iD2*lDJJS*>H?Je ze_*2C=zpwUa?r>hN2Kg?etrLLEPag*sr7g~52E zNcNnvD{92=8>+bASW^8bubB87*(1gPZ1Lw{`_v`f}nf zSC!XS>u{AjU9B9BW_EjTH;QWLiTvclZYoeUpnc5Tc;^P%0b&c$0EvNM*-G9i#!Ufe z&2XA!Z0%2PZC4ZXc8UfHoGx#!Gp~U+QRMa(1|tz)UecQY-M6zl($E(TxqS&w;99pk z#}_yaRO`QXc{kp?5r%$nc=!C@=kVS@I=m}XXTf}z=f z5y0x03O^Xly2IEWBCXI)us$9pO&iBsy8PF=%UZj9tvult-e{@QHOT4Ab+~(bf@e^4 z{I?C`8~kI2@y1S=%UdI6FyztYcc6`uH2xHZIfQn-GkUGde}^k@ttU3j;keQ1o&nI? zKW;GZ`zwR_lju{9=wDreeIM$YL5fsMRd3!FJ)GNMMeA_?9sl`UEVX}QK>z>gKi{#n z^q)_l0rwyApFgMk!w&RQ%j5Uby4VfX(VPDR4)n%5F%m`l^1sc3-e{RaqzAq8Z$0Q8 z(B_8)pUdvR>$v^dgWmm5@u0V$p@q({syczpKAS_zJYd8+Y!LT`mNy1u#(7&6Mro2< zhdDwS=`LvN@#Mou!xd=baP;s5iamiruD~yT_G`8OBs+Tv#sOPQ zv72)NX)-$9LgQD>?NiUwoEiU>=JvP%|C#3YCJ2b+H>BMfpl!nRfTbcZ3SfB3%Y6Y~ z2yh-tSzZ#{$SP|^&oWC1d=iGlH0=xGN~|Rg-(Ly6{k?~O?=|!qfTES?W1E>8YlqQB z0r(Ix0niNo*&+_rhiS6V2VS$?IG9H!0`-j$G#sm%Br^xcyZwFT8+j z-JVTsRr>whV!fea2eM+Y(2VWF={O+LE5i?=!5`_?H#&9(iO-__BX`{S9^*fd@hq)- z2F?Vr^&;6%CvQ_B&k3-VJmajf`7R(PN9dkU!9r3*6<|ssHhvoqHhmgenUd!g45Lo8PTRvCeT;Ru1-2Z8$vhpsww7=rbX~*$j8<$-tUFEg-$d4s z39D$2m*(v6l~#HJPCmwlAA;C z@@gPP_huv0YZ~Sac#OrilY0IQd^NxfLE{joYBH=WnL{~Hxxh~1 zsG&U#XuA9-Au5dlI0F^Q755( z?SZ{>*osOA+Td@RESpbiChj1x5vjF`0krvxM7&KMFt)nh3?}+@(38s8{KYaT6+i@5 zGK>-2Z(ywXLG~G=y=+|Ft1afwM>)d-iD;lV(%&+)XOFQixgm3E&FBlpr%i}Ib%XL2kB-QU8pJVA2-laCHh)2K=0gQsvu>6A z1BfRU=Zez+@wBH_#qki~vo#a%X)hd!adQPotgiNj#3CPbw=M#lt()R7aM#zdP?t0l zb#e>ElR1veVOA}a4Y6kPy5`4OKBdygsND(TYi1IV6Y5l5T$$)eJrB01w&@A{1^EQMCidY5g#Cb%%`v?%Irff%N zA*!m!0F+>K3afPRPeFc@NBBV~x`oC3POo{gFO zE1bNW%yVI?UQrO3!V7={=R@Swr}i_*C01AoNeIX~k%t6eRzL{A?1;VtBJ$rA`ozVI zj~hxgFYazu{S@T=RCS@X1>H!CmJ^$pPD0&^J1r(H>Brn1331k;Q#BOqyiQhyBHRDiV4t9RAA;l#$0J z-ALkEA({#`jt^7vA#4FQFe;@k`Qs9*6?0sJS(7{V6NgB|1Z-0*fk@@l5s|_Uu{La& z=urtKl`C*BgCIDKbOdt)$UM%^ki0I9&|;RC@kn73&7Y;#L4cvsB4(KdJH@HsgL>dH z0$8H5hjLzN5A{!0XH z`#H)8y`;8VA~5+I?m|`jA!B+Oai#h}ZecKglK>WanGC13(^&}23%3}61Zusc^KT-{ z$u2UNK&}mwio{$_FwwghnYe&XlupEVtIHS(45p{WY|{L95{f>_0RYTi(C2YgVQ|hN z)^pr8;VP1sR!bJ?4Z!S_LCL!nPf0$|V)&>W1_RkdCutv%&_xFCQ6ChT}NXajj9h{`;~odD`yh5}!07bp?pBVY&medDU4m<|M%JmmxZlaN+Fc z($qM$0${O)B(Rd!+Lis><36Asq{{%Ng>1lTsoR4wGt>ge7|>QyR^wjmhydCPm|w8p z0c0VTtH*i~`{hV;I-53PeWVA>Q<#jp_MV{`HAljum#}$J_{-wD}PIYCQruXVzUH{o0NIP zs#p+)9H2nrV(3Z98taEPYL*H%Og;y!`M6PENj&A-;7Tv2@uL-qh`=vGxyCLsO61e4anixA+ z^J~{ZqDqp$HO<}xAHdE2Te7$_Tj{I?IdGz|NdA=Z1{oPiDtGv{>w)v#Kmd^;?M7JS z%3$dtRqJAR9-~_!DXhEZg2ze@GpYZx4;vkuA_}xk*a7i~JZ4Yhyl7kKY+P_liME;U zF`k-6hx+0SB2-G2Q-fv}D!mOjOc=13r?*$;L1^llU(wr9s95zYIw)noC+_bSj7@^E zVuR4#*Mu6DM6N3cO(+TXtPZuV2);uQQ8tVBFAv{yLhmHhY*BzuROo7s^`kW);c%kX zSHg9=OB+!)BJsciRlSwv4N?Achy*qQoU?9UQ3L}6(H^$@7b%ROj2`( zHD-4Rs{ay7;@ATmS9KWdzZY5P+C$)fgGaMKyN}V8K%K#X4pJ_7Le^*%uq%POjAc6w zjZawy!SD|=fK_zKORGJAnk8P0hJEC2(O$F_#XS+WdjaDHA{bORs=vZKkq#!H-|1CA*|q3XzpeB(+r96>DOU4i?l%XDVOQr8+2&`o}VF3fcYT)Yh{#J#W)$F{6 z_Ui&`s8*c<-8}3OQzNW%oe0wDvm&oYecuiI_eFWvWguLKO6**Dl1nD?*~9Jnch-eTK64s=WQZR zXMZPX!2>OxQ2-w6U8)dO0@q2YrCq|dB(uKAiC+F2?-{^$LzD1(sWu@1lLhM+g7a7P zk4zRhktE@MFpJ(~oM=Pbt~Xe)QZi)WNfE1v(v2+feR_23PDc0ZNCC9>K5aeg@fxCz zi`nfVha+saN9^{P-Py$+xTTk<_QoqYM-Jc<6sfVLzkeg#qUX!^73@`{`|dG00`ap(ry?JM;! zC}z#f&6|WHA;9v!ir}GqX1qC*HgsVE!h}MFCsvY`jVHAtWL%y}1D3=szFw|C>%GL? z&`3N$!_ex?W?c~QKq?H{V41Ky3%BsGHwLyNesaAr<^d}2=Hr>;dbUY=B)&t;e$b{V zTWG9(fL3NThPxxIC4z`U1ICqhq)9JD8yOwZA>3>;jnx3~P5{zWEP#%VNnK_|VAh#L z?KJ4>+oXen6o;Z%ls(lK$vnxvhW~1o1KG*dFRM8~&Dfsw@wWbk*JDFJB=&`x6gP81 z!rWyxFUJ)+<2XW(#j--WA+zBhsw{zeV zY=4**rl0CyNtN0}f8C=e5;3Wvr;o@RN%L2LbEzg5Vimin5OyX9E6x8c^sQY@B z5QoRJneNUV@g0!M;(h>ee`zz5UjrB!WwUK*Im z*?batmU{}oF(S%~SPuV$#gm>(CpyMbrI7oEQ?{!S)jP7~WD#W(Aa`*SyT{+~KIY5+ zvkZ3jDl;g9!}v&^CN&Ufg7S;3L|DEDUw=Dd+IoE^KLmu~Aq_xAJ=U)Wr1_9C^x}Y^ z?xmLjD3o9DY^Q-+A?no$6XG4f-L59{0ixCr+fKnA{7BSSDRxLY|HA%kt5}ajm5pSN z5`HTEX~!_Tg9p=>J65D_Vi3{j^8yJqJ4zzgWzHWamg)K@N~Y+sM>Ajj1{{8ZZy^~f zwv$062Oy+Fk*#2XeTiTh`<@gh_lkA;S#>5b)r;sc0t|d2O|F9&?nxpo8=^G7OhU53yH<;y2&bsfBeli7ES?S!muU`CN$3zj-{x0{Gx#Bvr%b|)0S9-KE2P&M z0ye{WGHt>_@+K? zK_+mF)*(wgPs0M#g1JZmCakHW zEPkXI*=z>ai}oY)LYPX$gOHHHA1sGYxtYOXW8iu+%Ahb&W9j!hNBB*&I+U*OT$Zx8 zevkxfp93&^J`Kuqgea6M;~t@G2Cca&UGpeaMu97b)6$YvFC-o5kZ;JeZR8YJk#a+i zqRZ!)?E?Zy9_nrhv4iA=hKz%ooo!HZ94ob;988f2ZlDh5Tya7nI7VX;7nebJoIM70 zq@d0G~X{*h|N-LH}Grl))0vq`qGq!$T}&UH#5mIS`-@dDgN;<>(fJR+r868?BR8c$@N zCfxC)H=c0C&$zVKTi`8vMXpwi8Oelw5UKy69PKUV5`BNPrv{`+U#aht? z`Yuoo*Bgo6q?Tl*-|HEJ3B(_I&a<_ky#x5%NRvQLW4EWkxczY&G+Ol`Ni7f42WL=0 zc&}GZDdpom<+pnyce-LGTE2!fQ)EyG1*q+qUUByf$54RN>|?}XhVBBtFCFXc&)dOb zt)Y_=khT5h5%8yRKq(a6%35lLkO5YOE+UcifZj=^tr+i#uQQ^3i8uN>l#DC8u~JtT zCxhz$O>718#b?6nBN;eC>W%Jr4{st^TuE(tHeUi0F$J7=>D|K3Du{tn0`3K>JSYbO6n`kcSJCZa9T3<@ zU^YO`D}`7|7ICtJu1F8*lW7ZmRbFkgvcXw&o~4LY^7-ABB&xB9|&dV;GsB(#q)OuZ(x z5q+Dm4tg84hnwd2+6FHRl&!wf%s$9lSseiBz~COOQIbxjxn*q9*@$;B!!HWmk+E@U+x?6#53n73oH_t z8bZ(%_NpNAl=N%rg*Kh1WMVjPD|B-nAf6!fV!**A`6zj1Y^-sZW*=O9_AF_?L-RU-h zq*^lWyF_E~P3YbtRP;6tH-DQ^d`q24p3#}a=OT2}jW_#~z7SRX)eUWt{SCO0JeJC` zHSslR5iSo$`!oqR4F{{ep#}}3)uRGAT_SDjLJf<8m6+#1@_n0eP_m&v8~P6A-37et zHO9LmrRTqfTO(KApyE@?XCYu=pHTj;EJ(aXA*}~N94eldiE0!iT==o?L75SBm{1@rP8sNjWG$9)f;^atT}fxsdfHHe?ucnYndHmU^SIj7wS8 zPvCDN>6D+s&5VWak%zwqU5WxF$aR~|Q=A@fV80CYA@hH?vq!I{Dw44`nI}K+M_nTq^@}?>h0hP)cSMp4m21X zD|&#SGZ;-8_{21HC$UtcvyK2n{$5Ksb1sB~iO;I{zY%o%BI*2ipCnx0&y)wGxBP?h z<{^et`mlU?p1gTP-aHEEmkFg*HHcI2xO~?WOl-qmJ}E2HxPO}I$ljp=B5AlwnYs&i z&&u+|b8^@`FWn;93(|BR$?_IF#+)NfWP`YU67p5>ZI&Opfr(d`3L%K!GaPmkdzFcM zrD;iDe8w#DDpdwimZLs`dKGr(X4YQK;pz7VXsI{lHe$ie7FQ6#VSLI@e_Q^!J@O~8 zE|G&2RcG8!QlW>@8D$z}Bzq0%oP5{&@?9Uun-Aq?{7(M*$Cw}m#N?1zKbPEr2I^jMARNfsh6)Gf@ahl(&$T5STdNZrn78*bA!W5u0Ox!wGFfR}?#fJZcp#NpVOLGouibSdChuZ~TYG zBZG+B`VLW1x`0GgpR?-Io7N2?Xn{yhR)Z||9o7TwA-OU4femkgZz0bWkVuwVv^_8j zA~P;bHy+|0gOKZc;%|!UOf07TRZnLaq^*Ql&RmSEj^ZUI#ykvDT)Cn^u$@`2;gu~> zqoI~(BtdODCc1~^m9&@*;F?-5?vqzt^EA1eA};FWwz;yPTk$A&VJY0Gn*Nw}tcV+f zhZ5*N8$S*uJvV)^0-{yCbGBo;ku{t|;-0A81DAR!#A$bWN^72eoKa6T}xbF@3}u7*LQlt;vfj35;NMSlGPW_PQRy$U`2 z+gMYl57MDtS&MKMI(<#tq1)ZQv35rnyB&Rrc_6y7M>zkT&QI$ma~4hX5uMhPs#=CF z7=}F6YCMG##8A&^Qc~mA=21_{qg*_ORahGBncyUde^0@JO{Pl%CRmWE0CmrmD+Y^( z?Bx^|J<6Lw$oMs(Bff^o9Jq_y`D;wv#@2{g(8KY0*^N-~Y{1Ll<-y{j1d%b-BnFf* zgKT3#^a~K;JkGF>xSW;}Pyn%@#d(+)uplUME1(uVz-pqZ+MRdkHSICNH3-b(x3LDM z%qY;|W7#$EnDZwx>Lq}%5ct@j;55dOu$KDSu(fm@*opL6s8qHC=W`BP5y*7f`6Rbyx;ZdV>ov<}b5Lpap^}o!|Td8I`BV zN|u;U$`4}?Dkxrz`35cJz3QJwEIh61DG1=}|s_9za_@ zBs_>iTCzlSpwNr?HXGX10*c3?+F>mCHT4>Qz7@!PyMi`bXt>MW!xMgu!?#|R<2lQ* zJSg}qeo}+3Qr#FfS3vO}iWIfbjoAx91W4_|DYk4D&&35l3vZP7Cc2pPP}m9_jKPRG zR*)USvJ-XCjd}yPz#0Td$QPD4%-&Ppb&7y@g|rS^z9`Y_ew zVG&LfNh5X}$?K2aizBfB+NU5zyLMq)AngK|q>uF9$}&HogiFXn(z)rF`WMtwcMx@g z*u@qwC=BdYTFRAw*ix0%+39p>F=D}H!xiip%&yJp*G3fs#)D`VdWbd^nKdAZzHEu> zK_PZj|Iy*r?iS6Ru4~<%-X33Tcf6>q{z-68#?4)O}*_$h3z^?C!zQm!T;b zxfZ>gRX|&;po@&vV@Y1LNY1*Hhf%S|13lIlmzDyFD2=1u+SB;MSkgAoXmqG|Rpfp$ zJk;WK5`+rvJDkmi9yap&b__3{RqS<{@FwJ{E`lFdDurs!@Z9OY4HElB#fabg|43oN9P z=o(TPdz8i#-|(AbuaH*Zr^%B9z9VgYwWGpaP)EjI;IPRD*n^)R;2|o(<94A6gm^-h z59J-8R0}cHngFGWt9|aEUqLjJ+W^;*)xLJGN;Q5g0FN_YYbeuYvw2YnqG1{RjALNH z_FG3EJg+UCir#M%REhJ`OUH&&>Vwo*_yKjhFCl1w0LpMxoWoy`Rtp=5elHi1Hetj~ z=ZVmpucRGt8n7@mK{riQ<%$tpJIC!HMK8wJ7XUupFH2Jy!ZXhmJxO4{q*mEb%Q#Fd9t(3oL>(7| zFR5O`bvS3c@+%>ASv(o@@w>zoJp*bxoa>R;TqGOG21<*u?Ams-OzR!}c6l%5qcVMW zY)9rLeBk4 z=8N=|alZVoGrOfo*Db(<8VJzcr94gV%rDUFY%HPoQg&+7(hal~NuMuh3Ruvr^qU1G zxWB=G2FhT=I-2@gqv`|?9Vp~(5wZybYZ(Q@kB)^R(h&|pMeN^RaV)bwUBnr^MA>;1 zl_2kei{b+&ju>A}AdRz{LS{ZQ{;$c38x8Iz*QN4ChFaZ6qC>lfo4if@&8*VRiUY7C z-XdCGnVKSmr*Qt5P99X*e2V)!@QR7`hB%~@u1AoZg{~u7wphTYiAFelp2ARFQ~2A= zBlJ8b8KBJI5y7jG=)Mb!;l(TfZN$E820Cn>Ln)3K%?{~QhXYGJ-YD4H6hhr|2uji> zdOut#QF2E?Z#d?T%k&z)l!|+JG2l(xnfxMUR%WS=jk*q+q^!zjv4skUQ){SjkbZ!) ziHr5r;i=b$tb)AN8eWeIp=B!#yd?M$EHuz<2>9@^E7*$LEGD`@AcWsY zOyc28{RFd2vkr2GcvzsPcrEfL3}Y#wmC23bY!74j4J@ozU&ZTRvW!A0-h*T;i#;Zw zi2}_^u4Nl%U!wyccHe#r%?0Fr^cD#BX_?g|z5VX%Q}(*1;YqQ`Y*GNF@qV$J3u8m; zVq-eT#^iM)Dw{MU5JCX433zu5jeoTM!28atuVI7w|s@# z)xYxy0xduN^y(v2L0*$uzc)UIT_Up>8n)6PcnqwJ#SjJN;3($7keRCeBdk_!z!;n+ zbLcosJe_GbRuRjkQ|QOUos6wxu^BKYVR{ctKrxTaszxw+@*w`6J~%N3U-kt^oOVDo z_dW`wjupLHL*GgpVZc;RMI4uHblFOKwXnAImGy8ZT6w)~J%OQ4cR!bZI&6DQ;_=Ku z=Wob@$P*~tX6`VF3}9mFYUB7+2m(RDXe1(I#-?F{$wE__-yO(-o&gCA#VEd{O~E9g z4GsL2tvABrZm81zi;wjy!uh1Oke*j!5NBTuWu%30wAju^RXq&+1Om9tlnf;8F2I;| z56*c5Xue@0#l?uLpBXpbLyFCAJW}L@AdE-epg!#0x_d~FSd4e?A-7@9(v2qD=zvsZ zp1Zct8_V^S<#>v7Jke$jXTV>P@a44hCzDQRGjFiM6KLuWTaNTiwac$2lPJ(UrRTly_j3>mj!>q_2K2afRN%%7JBLnbGN2By49E z7wbsXK(V|w9J<$-_$$(QxaPXm*W!NkNnat3V9FbU++F!44k!{L;d*5Tq`KDAr0WEL zq1#kQ;~XHK`Pv1bs7?xra$TbwA|qa56dj!-61j!ucsrzo`7W6Yu}VySW_pX#p-uYW zWM4`j@9>?ZF24?!$1!JN#5W714t|_iT2eL+lgQLjsmo+?7mFME)15*Z9m|9l?XB~D&#iw_lQ3K3=hEY_|$fO&aOk_)6d_7=6f zk(_7!p3+{3f8}9Bz^Ss^=}su<%0v1P$y(1NjZM6&BQA~N)@V1VY&?1nx~T2P#6sF8 z1qrEz06w_g0$)USns|;Vi|G{fOJ6{siM8SdA*cGL=n@i;svSddcHLzEd8x^ ztff|l6am>jZft7INK7XsDXoJeev8xF&2De!^t=XRLu@A$2~A=LjbIwLy_-ePkyJC2MDpw^9R~!6H|%p)Xu!4>WKDW1dj8+uPXV4|x3f zQGYb%_W6;4`V+2TzCW07dvXKbnBN^t_(C3E#OIHC{Ry`(81hH_!ALGww<+lYDY z0ueR&Q}{gy;c?~_O)O#Ec}w;&4_!MPt!Odod$NfS=XH2klRp($Hgxyf=c#AZd?Om#4$ z?M%`o6dmtr*wPtkWp^}p$2JhByQ?PvuTlwkORu@7SZY-^N`HD!>2N+Ua_jvxI%++l z9Yot$tnS>Q?o-avznXb5Ib$;JCR`~w`Qkzxh9dkdBwr|}_-eaAF}-Fv*#151Ofs2a3qA=eHXU+#haXtu5xz_-LwoztW?@+eHM zqI1YPl6a29CS^@&*oApRJbYtT5Vf(Wx{P+TFF+6CwwoTqUgILj^nx+9qRw-aOwxaO zzZ37rl>5`W`yY`8+DBoFF<6t36N0p23LA9-MK@{NCO(7qBP6EZ64s+cNAoUDCoG29 z##1VKx1%w(hi7L_))YRCTC>Dzj>F)kqyA+T8U~2eP)l*34KkcvEKRFFfLM*$q_$>L z0~c^4AWJwIrwaih-y;g5ya~=Q6)t3ocJ$gQM9dYMGQ&p%cCjcHnzMoWF!LOd@KYZO zdwtE<&>NYT7Ponq*msaf)d3pmP>j=b7ZB{2IXWs_Z%^;yzdWgJ#NOfRbDS^LJ1*6= zpTB>3eDy&`1STdilRUxH-w@jk&vV)+_%%arMIrj5)}Ys$v|%hxJ%U#B1wuYy%6$r! z>w1)6jsW)v#qJBx8pCDy2t@NY!c-6;2!O$6>=s2u3Ck+Zf&PXu{XybwpM8c#T9{Cs z_M>}&KHsZIvJt0T22>Ze+Mqt{fK2#wz7819dT4l_hfDERz`eF%B+1r13Z>5y{-}YR z)t7>JJ1~}9y_rdX%kxzEHI5%ty2*asMHb5(%nH;gTSL#Vnfhr4zvmTnG5cTay^TYZ zW!gT>bzawXe=v+Q!^|)Y!!Qg3A|fK95)qOSl9`#g<{Fxr`L%BATDfMfI}s6UL}ruS zxn^o+X0DlQMr3AYK4xY_X0Dl;t7K+oJg&K}x&Dr8P;2*je(xXfzORfhe9Y&4-Pd`Z z$9bH`u~mto?FA;WO}IwGPM{_X!wS_1*nzbA3|{gxz(>TV(*C6hipyUi_Wd&Fj|e2d zq8~^`PjQJJJ1+0TfTtt@1VHsOBwDY45`;~?A3dis9)3HD#m}YoFJ1jDE-+?7t56@I zTdY*?YmT#)&1LRMiJy?u{jJ2r0gM;(Yw5|S&kRq-*PL+q)&yB*K-pwu-$1DL&?X>@Lsnz2UI_k!fgpOs6!1AU z(P3Q$^yL)R%kTT}(s!9LIo4d;HRl2aYT?C^%eK-Im^*mwzqWtK0;T_8DWNA7_VEOlnoT6HMPAe{YLyeg z*Cel(>GUnne@Sm?NuR3f`6*rd6lY1I`bkPcVs#*3=QrRzOX9YYyb;{*gQY7J zBLV30n`Nx&!DPE9>2v1p`Y?F|b$oVg^@BNG^5BIDN|x-WC2?tweevK;0|xq=SYYsj zEO6zh^uD(Q%MN40HSoD=*$qT@haMsg=vNyp)dhCG!n@U0xSylpfNgvOOH2}Zv0v3) z19HTl>o7VCk9%y7vCr%7wAQxLl|wQ|=Vh$q{UJtuTkwvo(Cn&=N7)^K^M;0+SYGJ9 zfte37oYqP?T{|KYpJVh5H;a2}1C=a4woF2Q#pr?tpn&((toGrIE{UqMe;060 zu2wb9xv@%SRFkekW9Tts3LK#o#WFoc3O4I~W#h zJ$|%M`&!a5z(=offi5JrQM|*712zw8;RE5E1$uUjy{Eb~;akP5=y-b*p(MBpZH?dK zR^LclT~s`#+1o*Iia+CHI__ZPB6YNIWj<9MW(@f~P1{XN^u-z)lba#Cw+Fk)N8q!o zKmG?paA;EdX(Apxekb2b(W zyIJ7(Re^lL%e*X(@~H+}^+4s21db>h$*qydPNe@Do|0M33)O9>F~+(AgS8%w zv22X{uZyvr(Qo<4;02bRd5DEVZ?XQ^x{EU(VUf%ycxC1eHZWsmaWFbM^DzdKdc@j- z`5a4O3TxplTId`ejonM*!#o1(4!vd*8?uUKWblzKY^zv}I3_y8FH?|W;c{4FWkJ0A z(gi=(`tvKP%E3o*n|>QY>`2p}LiVEKd#1V9Q6)qT=8-3(MMuS(A&%2i*x=}6OeK7b zK^?WwpM?0h?GT>W>qVXZSE-1udJOj3n~uNTkJ5wPoHUq0G3+DxgL&yzpB87YhEh?^)_ zf0J~#=uO`Xv4z>shy#2lN}esWL!97v^L(SiAwH$ho?E<~_x)WWSgIJhWFHIYXAWm@Vi0ysBCE z@Wonao{(oC()6pkl7uO}hs1c${1q1C;|zZtBQ{HAf=)0n)B>Kb{?W z0f=^JeR{Bg+Vectg?$u^rV4in8b(PJGKbkq93fi>Nncv}ZJvxl-abQ8vtD7|)OV5F zB#8C=cQF2#x`E9luj5yGfqxIpT!h>OO}GyvqG$pV8d$aaT>4mGjpi0w&X$lz-$~=n zFj>bYGzxHR^a6AVHEB8tZ?>{nk|GQH-8^gIXH?L07{oQMfF)`dBoTiLHCAKDvm;2VaFZdo4}Oe1`SUyufbE+|HuGTV`ZV!HKg+ z->crGyi0~@|Mlchhg(zG##GghsALvv?yc%U+B;Vn!_%BN78iRc^ zMij&#b2Xt*vCWmuV>^)JCj1UfM_}{Vtfb)9%b(L2ySuZxSKy{_Sg8jn9ku-YKe2Lr znSOv4Vj)?Wi>i+fN=;e70_iJ=INcvkNsXlVd-}YAu&;aAAI|k> zboHhNQq$9Y8HJwoh{vCk8qDwqzs1R|w4haxJ4*NBaR(d%lbY|8iv{>~@lPFyF!L3K zH70uUd=B)K*Wz7IFt|108Rky|T}AhLgw)ZamVST{=q$hpCyPw$>1SAVdRDP3ghaf` zlQPiX?ayGRjKc|v4IT*653&7^hxGj-d@ahG7@P0z^LK;}@dt4Y9%{7A64}~AiazBt zL}kz(4(m8`5_woRA>MD=Q8lJ;y9`^IUs7r`4bLe#bOuz6eaxAxk_vl41Mvgk35pTO z8YiO0ogZ(m{fmjGH14=B1^Z|svid9z62qOQpWmWsTD0U(8nyxAt01xaJrmbq%K-NU zU%%o4R+xxN0N2Gzi1Dfq*YA+cokpp5CBk4*>76ESN@a=C)!+CMC6rF>LPHb_$cLd)yUUTS1$VInG?B7In(-}5_M)s~HfPLbJp#kJX8ysQ z`5L=2@I1R9<8V%A{=Oe|#w7&k(%0(={K`oMi@0N4)#@a@U9ko=7 zhDd|iLA;?du{0Tcoa`=|)+IK;3ZUKd-B&cI=B97?J?RxSnV++w%!k^ zEhfJ6zh{kl_?0jr#RK6HA$P6H!nO67>|$kwJhfjYw(qOu*1SL_wx%f)H>Cm~)}e9kvC zO%1S~1RXblW;q6h#s>BLidERIF+tWwTN&)FO&&tYY0lUTXi#}m#H}exui%@7Hw>R4 zTBi#>26f*rc|w=dG{BL8d>v^8R*QTG<8=HT&VK~xYg@u|6a@CRW|&ZRP~*RR}*~%~At}ve=56f{#^>KsuG{6@M2~~FiI^Ckqhd6J2w2}q1 zN$B2rH&`8@QAPg(#9^McmxA-Ot4W_vLB*;_;JxL&@+JHkmPGN4mrztF+MR~ur#5D_ zy6_9kQDgL3z+)*59Ge};YCqM?4R|SdP(*Guv`^|K&j9*|k*??Y)GVerxJ{4o4`@m%dOrWEAw9rt)n@DC2n$^ZS z2RL_9t2P-8O7{hJ01c7f13G+3&|jE24Y7~|kz9c^ED1|}GTondrzZ4UMJCB>0jXsX z3c3CFig}|4 zWF&z?!%PfH(lMNiEf`Pl(1D`J3O^v~5gUj{fCpg2xK`Ya(cx9>O(`&lO`*KLm2MBv z+-jtSMdhY1i+s6eaenoT+)~>*HZBXOtvmdcno-<_JubnR@;Jk}ucT7=@No6RpwTB& zZIl6x_?*L~g}&CbMw}{NtJQ(>^lmisZ8u?+0Ei*&dCh!<1bEYjpvGZaB;rRBrWD6% zuS7Sp3%J+Nb->AbTA;_rCS71|u(%Gmj*yGRU4!OR|bWg=So|LyykxX{E*9b2* zX#`6^ED6{e6@PZQbc~&K(W=V>!U1KI*}?2rg9wV_hO-B8SY6>)Ke5C=F;ncq9K-{F zhp@wt#QMZ=qGMzqF5hAzP5+Hp&Zf(@JYkUhr!!XP79#|{3Tw{9o+SIgM1HLV^5N=x5|21hpOdpF7z$0=kSLGykaw> zn4>I~e%V4cI|$w}1LuZFa*Cd@<|R{*X@!^eVi{KX_q62JuE$vSj6WlWH?rK!Bdj`O zhA;EaRG9e*E6H5TMg<$$sEo%G2<$gVcEczuKjDUJ* za9sBXuwzU5pFO>4qq+>UI`+!4wCME%cCfTp(W?wj186hlF(%)ZU7lsZ zdiqvZ#|@Xcx;oR30{}$wJamu;qXZ^qFg1<|Nx1LAV(_FmPbkfuw4S5e^aCuCpk(k2 zqu2C{pOGx=r+;do>^b>|su65dhEG}GeXxS|<81EBs+ejd)l7T5s^GKK$E z@zOP5!neh4d#iz@u0S(>haXP*6&&i5658^z8@1TFD{&oHY zpYd&~HTMU)A=&_9G+QOuM!|Lp)+X3)p+Y=PxQtV35G9>>{?M~*)qh@ky2=7<}0^y@JEoFF;Ef1k4ES6Qm8@2muIV5Hf84(^2@EQf9gJ(OzKC8IIT*SOH zhp<^N;=SkNC;`V?hwbQF6TQTT(C|VPWAjf_a2Mz-u;PPzo4aplDke02L6>7V+Gp|f zn}_YLWbUtVOtqDH=QJ@nQ({IV{Sk7fCGa*r9SJndV);BgTa%Z}XL%!6fm1)jn`5hE zHb-z1FfM%+OHC0=xF-!uApvI{m;u#;B`8cQt%E&KVf=~dA5d~Hh!r@`(^}P4LxjMx zYDHdwIslpOF51iot--naG_qMd`+f0`%ilDLQiKuP4zUT6l7*$%Nh5qA8$QAjuxHT} zz()g$3O2IefG(e${wSw*m22Ss;l<0KsuOkfR5({6RR@p-;42?s+U<#^4)?yi2(~)A z&0pdh?wHw!J0fmBFSeL+eRuhti8H<7$5?XKrn(o#_>J?toZ<&xdZm z>GBR8!OJQm?ku42m<&KF8RonNLFWg|C2#2uVUE*mt&-T8%e)wP7rsq%A60GoRG)T@pQQ?Kn&6Nx4FLv@|UhQ%OCojnF@WBk&X)4jA=KTc!j4zaSscMG9t-u+4s?czp3sSlM3R2vg1q z=W2Y8DPwbA3WdyXm^%&HQsIvYGcb_}2NdP?6_k1)+3P!GY!oZdJV4OzNsT?q21g67 zN*{5A1t;GZ><@4HN9kIQ{p}Y#CDG}7TKdpPl;5hiqgmF&$I+PxH)Ca+H)s>{7%4QM z6|``t>uG6rp%bX8a8?o7Ta`eMYTqHi*g=eMhv!c_2C&CYayy!+3Jmp~#9Tw{dL9<) zpgDu|UNADN&?sjs%R{IR4V_~b@?Xs9$2-}AC3K5!D{0o3umqQCQ5j%P3O*bRompW# zm#bCAkrRpCw>m3&ebQ3q?ztK;bOL`~#}L4^yi-0d3(`Y8Sr*Uuf#GNOy069Cs4AZf z@hYRUJY#?|Mtu|NW&8#)a}`5rxrQs*7DP`pVb;@P7-iwSZ$mogO+fqcBbJz$SjY6q zuw(rV5~G+J&8It(DH)bVs3~UOO;}TWz~emW7z)MxeDHh$P>eT;aqp6Lzvi$h9SKMr zVITn;w4p6xpJ~A9 zJ)F&t{fjEm2X$rSSrwbmP3)JM8_dk}X69j1+MSu>QiIbuDVY&(W>*YRr)K7PLRs$2 z+;C=BXJ!t57|6tsN%zdm$T{tO@V3=U26A*K!KnK<12bSC@IEZpJ$xen2O(~Dn6K(s zPHzZ&%Z0ted|iEuIs7@{?QG=HVaP^tW+kG9j(Ii=D$0?kAoy5`_n>sSY{L*8Otz}Z zFhi^uU%wL1GyWd&BcR`-J#{}psEgjzjXI$!nAPkn$v4FQ@k+mB2P!@_4G`jXV8Kuf zcE>8#WvS_z$KGP4QEh-XquQH$h1Yvavimj<=1jb4Lp&+h(yT_z+j1%Yq?&Rl20lYO ziX8vsgde=ERN6|0mKKlS3{I*Uu4hFxmogx28aSh&~|FZtIne{TTv8725m`R^;UIn4hX=u+| zEPOAvhXZWz5=bs^3_}f;?tnWR{#R&NPOF7`AkYO(Wo-p0ARMx!@F=0ngI3;LOc`tu z>%cWB0UGX+NxWd4z`I>mGd4kYl3TjqZ)l&IEM4ZHoSu|M`CZ9t@)`b8cgXLKy}#Za zyb;ebIlBW9`aLzK@S57GpU}(?l)Sz>(A9Q`vOO*MV`l9 z@(}Rfw%E#7vkZ?@IBmWmMy%~sZ`!ZH8cZ9f`YLGQVuk8lVAFb#(f6@`y_y=G$F5h> zk=}@-gMGlXC9FD4TST7VddvrZ!{}XRYDo5I$R1Uia5}}&C0jrfoC}N%aqC+a)uzhg zBU+po9x+2V^WmDW2lW$O)C3X9p1`1jcwOsQNjlG`#DO>{DM}wS!#NLZlY)$thsl4< z2jstUE2)nJK=8$wPY!cA9kqbZevntZpo8^w5bsb1`mY8yg@Is)sPEfcF-&gSzf5SN5>(*ki9{bQc0~GQAZl-m4(Gd!O0QNTMz_Bq&`B8;}D~ z$U)xfqTe9Wo_d$%Ma)-OVB$vO=RP#g%%V-KsN_BUo?3B@v-J?t@S+`BB` zc}N7WPzpsj1?|#hBq1C=W=%JEdRDDS?}4ElJf(}2e3f`~ek8!29zTse+wAYUnCj6_ zxb&OLU$yPZ9W zc>?ON(jq;SMyoI_xre?`yS+5&ofx7Kt5t{pqN`Dm{`D$eNatJ|w;8HR<6={+!~Bu3a;F z{>k7|6Hq9-&=}>_iSF(ER&CNI+RgqZ!H(X>*O}N^l^e@TaJz3D0MNiJ-RB zKz;lz6pNKqMQY-1?U+jE)Id1Z!q8ApFvq#3nt^EFTvM-<{-L@9`oKq7C16%_NH>)D z&d5e7ai<+7(5|^`3YwgiX5j=)+5&^^GPfWX?67nS4Uz|_&#fR}_s3yy1rH!_qoJZ2 zAg53YYTv0@^puPIn?t!XP1GW(b8-14Fn!9J^s- zS~`DDsGQ6GjG^OD_Q8V>dls63a8{Rpv0C3_sl#BxnSo(FATAFeXeTS!7q}UIfcFTK zD?C!qzU0Wkbu_ubsoP0`R}JY{i)HzWL53|!0OXFR+4q6mMLb*|JGL=<;9q&L5B{`; zW%G6NO^mU0KHaiph4g=b*n!=wFF3~AqhCsFKIx7gU?uS+Q@F{z0YfqfD=!lDlmf;7L()uyXsf^*VZ&|Ku;Qoj zst{&>K*=Z^pcCO;vR{o`k4}7FWK`n-?*NPqq+>4N1ly=xfT0p;WH4`}G#&b3QQZ<@ z?m3&}K~_|;0SG}O0#ZyI;j$gu2V|SMQ(y?xI<%8TP~Mkas`GEMPEKH2?4wPt^{p|yIj`yPM#9mwHa!FY9Rh+|K0}_&fhoa14zQqalTa)0Afy{t>jn(9j?d) zVE=R#0MuG=wB5H-7oLUw4^ax*q}QT+nrA(ZA&ux&$!Azv=?<3uB%2&48*o~JBm$hY zgWXfSUO;DfYB}(fU3`zWm3|b7Z%95-?&tT*E#f(yuOdJ!e-{#;G49xGxR~n(5uS96 z1>QxRvDZ_4R{To>MYgP+UL$(l05=pc)XcoW19qd#dyYk^U{-&$)&I(=3Bg~@sJ$gH z{H}+((63~J;>y*-H}rPnL6(&0>;+yx63$UByJ3ajD^bnFTUH+$nBD@hFO5n|al$^% zP!)8Tm&OqP^XsczT>jBORb*pS5%&a96?}lp%lK=$QE!5u2TyTZf>dhTs7987Jf*T@ z-XB}s3G`PG?D5^zd>0L}zW)$IFbJLo_^dm&grkmn<|#kJ{2<-`)i4&r>fGhq2a{B^ zRtozecXi(ZNgd%RnUX5H;}p$AKcOoP))2UB-roB$H9A_}fW(SMYh!+7 z{GM}orA~7?{~oynJicjqjLQ<&Z@feR~xHEErPNWf%FBhlfx`pmm|=BdwN+R?E%TOK>GtQOgu*GA`WnXP$`$1l@9{-qq9^C-w zWg)|qaxi$4FFoIxJ|!h>jL++L2e0>}_jCKfjwtg6r@7OIrl$=Jgsyf6ic-9h%#=tV z&?hCen>&yj@aOtGdCC5sDXDqs=|lX%{Lq*h*gRvY&t=t%`1rvIe2Qt#I1Ey^gjPZB zV)RJRTiAy4dumjo81&Vlt7V+z*Q409ZD--)UsB~HER2`QfPsi!D?U*Jn!L)pnGN96 zA0qIjp@f5@pkV%8AdQS_Me-LDvyTW`q$8NNo$;o_F zZHbE+#)pZ&LuiZdGw2W=^asV1FfH9N$V@Lf*` zOrdKKcwx}5_)@5W4z+FL!~DjeuMND)Zw>LCHFghEZC?D-to!${FR%nge#(B^yzNs~ zz!)_<(|LeJZ|Rac-I*4h0I#Ywr^d3%Msxu|knVRAB;S&F2kJp)+=1dDYeF0}$J?OZ-dlK2g+R@N>-W*G^hD6Gt`jdP>pheUqr|wrMJccHd7+KGR_*GDPS-PKPVhL^8&q~0E zJ-eTc;##6^HDw~&rAJb7`US4&8l0S$mYtnmoS9Y@_IIoH_bBuAy3$`bEH$q*{RSkA z&A8iXGY}Mzi-LB&T~pCOGMAdWU&~gCr%XBGX;UBmyi%^D(c(FfzHoZraN-Ye`rIy_ z!*?j_)K3bZRaBa#CU^CBM=EndKv%tk9ky{GUg-hpaD*?wbEsw;X7Ija4mTnx;^_+# zvi}OeDZ84o3|o;4{jz>m%>kBn?c?MP?M6a4xX`rDh`}A&z+b_m~E{+z;dHEB>p!`9s2|YSF^Wt^9QAlqV>QB zFbKT#Bf63T!{=2157gMpZVpT(LA=8FHGI^_!YPN?bpVN+*?QM55O!1DR3uiIw8Jdq zH)<+m9aagxc*g(>1T_rmg1W*X<{6@C*~xIgOo3%SGCA*#_oKQK^FkWcZr(dZ2s^I_PvOG z^q#QZI?U!^D(|WztPtG6kQR`-SS-S{;4IU zE_bdwrEf}BhR5?8kH6gIs!D;t!ZB903N7tseKE&a@fueB7;(g%8vA%eRg}GHbdbNM zwgvS!(*VtmM|DIS*-GYRPY~de$&jo*^+^|-c8mlcxV>94_|=y zKs82wgimM0+dA?Wbs3Fv;~X2Y9W`JD;(4+N&gifo(po@A#%H5RfMTY6Rq?^paY*Hz-E}fIuB!bERoJjg1B195@-nG zj4Xf+j=6v$s>J5Jjim#e1>;s|g94b=T+Mp$tErCM*~cK8h@{BnP=pi5q^pp7s@V!( za03e{>Pa-tJt@|`+43*s>Bex>ZFBC4*z7j@ds5t^oC(-iKGX3VWH*^$Pv-y#ZbPdH z;9aVCL8SNrT?%C)qK(iXf9g%AD)jetS|i^PT7wAXEkMr_{L9sCnOKl&Aghb|==yAqj4VY{BtJbfmu=FJbx zq=8Ji5CpB8iull&v(&sgfezs1e2%>CagA5(kl!-7O3#q}v05->X}fFowDp96Vco5V z&2TUh!DOd;YIl;);*|lLj^w4U+f|eb zfG21*onVmxk>4fzpMWqo^q*3S3Kk>8c>9nmTG)W`;Ypkqw+gr0KIpGMFoy7{1&n$CZXD+DrB8H*t)!u^O7!H_QF+z=T4bARJVoGsYLn;b#Gx+ zCbv0F$krD=PM*MgB@h;{Lwp12td&vBtCG3tMk-?iGKGQ>W;J$)b@Dq_O44S%T+I6w z26}m}4kmlEQ+rf;LjAqLqLl9UIz7sDFgf{-WOrx{BFpqfmJ=Fvn&;Js^;h?}FK%cv zGm1q90bg0^7~_DJ+(7c?^WoA9>FvDvtd1)A1B7uSR~kH7&^~?`1rO2&xfzQ2zsD*n zlhW@vD)f;MUZfRJuhe@92smDa@1AG!0WLDc?NAs_#>DEoP-PYxpR2vdF&M9|45TB( zBTlYRn!~IPAk;S2_b|JFwbn?kB^a~AbHim`?DhRuDA^sl0-+sQMYq_G`)5VT7@5(+ z?hV!4mVSFp=4&)Eeca4Y3&=4R{%_Y_6!cHV8)XK)Kw=^YQ26OLBv;{MBI=k-y1xrH zJ1~wWsc*xVzI%#{eUh_xKnDg`{65AgAmjfu%YIR@O*_mtOpJ8)(K0v=L}DUBjr}Gg z4GXo~69>xj0H;xKI7Dx2S)(kN2#=Vg_{BKFbtSCagN9>heT2hnt@}H~fj>b*v%{=x zLeh`5qH8q5UDX@PJ~G#I*mJ$1FM;Y#vUR8VEX@lisX~-%iQ-O3goC2+I7iuO%`fFX zw$xfx%CA6+<17n43|+MFMtW3II?u#BV|>>zF6|xa3Z4dJY_JF?tPrKYK=rF3)ntuU z;7T5-c?%I0w^{}|ENZ%U5P|7k_36LNpYExa9nr7{|J$8@sSz${LT@#9nx@U}aJjuc ze;^o&gmZH9^9l-!c3Ednqb0wQFSHK*z{2)}bQlD?I9ny=wq&Egm}?>u@9)o0ghj}hR*EI?16wXuh&2#zTP@a#{pLEcUThF8u-w@w zHi^w*tJorfJ1`x)UF;V-p;^}|+Qe?L2V*Jw#6fXE9I!eDLTTchI4|nt1yO5#@gw8_ z*2@j3hMFhk)~fB+ z+N`(EBR4yzo!9F0TK$67px5hj^+vr(pQq2)V`xHySiDeQgb}nQ`Z9gFzCvH6uhduT zYxH&cT7A8~L2uTTx6USgv%W>&ieT2J+qUW3!QR-Z@6ucK-8#lO^nLmP{h)qG=k5AY z{g{4SKc$~Qle9y(jMIAbjD8k;^>YaC7xcMCy-{a081s!LqtTdWEHGlmLSqqhZk7Pj zSYa$TRvK%dI=sqgHr5$yjrGO`ASoM-O~z(pi?J2>%{F6)p*SP0MjJHQ_ZWMPeZ~P} zzj4qwWV9QHjiW|KoKJGXIBA?RP8(-3jI+i$NVJ12Zq%9eW&`A!=9-OWlNmGTne#1n zf%#+3uSDOI=6Z93*=)9$8_iATW^;?V)!b%oH~-(Y@I##ozfS%?Eqz@r{r`XA|9@lQ zNB(aM-CELU}H!{~i+?WF$&^3j8D!Da+b*feje>D)R(dG0|kD;L@2&g`vP{~f~P4j`a1I#){!rN4I6S=-$08@%uiIz)q;n`eB|l@ z{|sD;G2^hk{I)@JI@sge=X`;+paK?Ru4oxGn#YkA%cC{k?sP+U7k1v?R+PQZnHA?R_l zN943Z>1i3RCS$DsK60I5)7AlnvDsY>+D83TsErAzgt_=h%!LLAtYqzMcoPWSt(aPN z@s+ZjE{)c0UrkA5gyI{y|w30Q) zKX+bR2Fl%Wf&A`A;#;W&qzD*L0{nyG(VWVfFvK$`ZyC65WA;#+*(9cIlG{+qFE;dj z>^!UNfICD3n1PC*7ujo8RV~xti?{_byS>tEK$pD%L#f==X3nK?1v7KD&{;NT%yI2& z!W+>B=wC7UKVw=Ao3lzt$Z=xUP9>%1X(0nJzScs^I$*Qe3T>wJd!T!4tsp9l&P+~z zlX+nx;&y|3qRV`<5hRJVpcHS>Oxq-ftH5OsjLpld$_a*aUuewml4+A_?y|cF|G*rM zwel=fC0b~$79ai&ErKxgqd=JK0%!{7kRax9- zk5-q5&z9r+~^s#Q?$*a4dQG<{l&p3@)qg`4T_T+^LDG{*&LC-~Qa-vHc)Xv$0n zcl3=OVJ@t^WLGN`3XY1yNP`rC3SBSTWE}63m8@tP=23CRc}w6{H~?&|(1bxs_%A#l z$X_R~2h0HXW_DNx_+9#T9Ij!j0EW~`%wy-|7T2+F1jh)YCoMMBE{H7W3%ad4*-l{^RJ}1l;C?g)%7Fx3f`Kj+j z>nTAuM~|{V_xUWn`*N1i6X&_iKt+TJC7NB&mWlWx4ZB*6a85+#>vMMN`FUomk+(-* zDZt$6LEBMK?8lf5&bB+i??0?n5R2om@;;ejMP2E#J=tVFsJ#-EvDAbmnFq~l_QJpro1+h*fz!Z~ou$zwSgjE| ziZZ|=HXZ@w#CcITTpjwkudH>YMuj66V^xfDyD`n?n)bQ|3)%8DbU{Fs@_mA9>=Dk7 z>g5=S0StvZD~;ciLfw@5Jw_PnQS#jAa$N=C9&{N=wVn=$q58d7Gi!>$$8gLa{?oY}?(+pm*l?$dgt0o@Pfs(J&R)+-I|mty$PVZRW! z0R4p9DM!oL?zrf3%4-I%V0XjUG~%SVtLZ&W5coQd!P%O#*vl^ZmPR39igw~?j5FxP zm&{5JV4%T0<|xB{c-O4k=ysZ&cT_)!%3&^I(Gugb1P*3`Ae=KEsMs+G*B!zlS`Ab} zooR93&qC$siK&%3Ha&Pfu%Pj4Er+k?#t(^EWhZAA=(6)F!r) z-?fiUnsD7*z)Ft;FB}63Y>}7$5q-Yu!!&&#Ft{0T(fl3vk878k*sRUkMVHJom`hNe zn6u($n9EpjADHV4(Q%p6!O?DC33E#rTW(}%S$8^GMzI~?eebli)cyZyX!#L#!gUZU zQ#O_**Giamc!3>b0}9SIYXNX@(9rmxr&KtbFw){4pE9!?qYNzdf_wO=7E;cYxiL89 zZs*lYDDGB?K_#^d^THd^U5TDD{s8WLmNK-!xZTDKTQoE>5Seh|A(g` zh@BTb4I$Q~0{lwo(8TQw!GgeRz$uFb!BxQAt*u}Wa>8Yefujcp5zq|c_JnphJ*E$P zQD?#gKWC=pN`$3k8!(a1h_*t`gEa*-QoUs`0AQiT5MTmuTXo4MFsCcb0mI=cTSXnq zizd==-OQPN8v8X~KwHQ$3hm&QD0Q4Pio}bL_3Iw#~9iTXL*q4e~v(8hVb1<3^HU8kPV>age`0#sEztg zUaqiOc(<)mrfr`>){k|t|KZfe<`ir}D@?hw`2g#UZ6Yym6ZK0F;jOExFxw0?Y#+7+ls1}*gLHa_amYZaBJ{S9rp5F9&$XZX zkTr^R<}OhEU^Z4YAyBU0Nuf?(u`o=@sj?#r$1L#;#jwE))`ZU_GnZz~Z^X z;E#ZU=h_3)E}C$SA2WTPDqUu<(P(86!A~KtTzPKgWMB5%Iu6AT3*-`<@M~xX&us*C z9ZuBvb{-oSv_VPNaSrrpGj4XJ{H?}xdRq;2P$fv*vDTY2FuVPdgPzn2eg2-_lsv1- zN!_E+c!`v7KC*g*%<20h^LR?WWYCjXNQ)I=y2SArqc-#asv1~M!6qt$wgxPy+^96R zg34g?m2%=$tJyZfr;#>@6eEt zl%kSAt052XO1QJ1+en42Y!^mZ;3Wmkl3*S4rFAx);2>4cE$z=lYstJ??}I#A z9lN#6g(HTxdk?L@)#5@Y;e8&=$6s}reHGJ5_f}59q7qb8Ft#fVDVWoX`pVzav;`0` z^7z(KaPS8h1>hT~C4Ri#Aox$zi$Km5=wA(}^aeqAE*(Bpj&Ou)`B*pai^9g0yb14m zU?ab4jeJXa18zaNuoX)W1AVk(0@!Z5@PRSvk5vCha zQrPWB=w@-~5Pr?UAp67w5BI#@iQ#@~^8bduJ6^MI`Wc*%Dp)L}HQ4G;$z%G1Lsjnz zJO-iMW;SBy8|Kq*P^$&Zf`!<(_OUqdOEVJ@{%sEksuP>y4l!PL1F=f3uVE&J9if&a zxxd64vgW%fl&Xa2A4mB$7gMb~M;;LSc+qhhc9ZpAE zD$A62cuMLLaN(CR?6>8WaeEX4<|s6%l|`RqA`9yVbr_nJTd=G--!J@ueN5q_nVtB5E^{!AdPFGf4q%nt?7LV^#3a_`tI ze(u`=O6Uq`mDo&l%0XpTdJ2_AM>`z9a(gCwQzm)5 zF9AKJ%>uY#J?8J@DKBD51w#g7E)jhj9M^OQsTB#G{mAj%V+wvMGx zdh{jo`a8Q5JB6~8P(2Fx0&QpC;tX+oC-lz+9YV4EGj9mYh}+yHvX*RX81##BTzTus zlkzvnP#qT_jEx4YWj_p3*l}@80PYd=5YaanYXpbve&B99S*{nJg__CTIfYT58}bAa zw2y79(9Zcv?)DB2!S&I`F|Lf$pwro*R2e&*XDe6}xjiQ}yvn$dLj%%1tm#{jQFzng zc8+LG;v^o{po0i~v%x(S=4tUfVVBe0XQ6HvFAEMTcuvEd5s)j?3UEsJQJ@%mnS+T$ z4@glj8{~E*Q*-5;+Qo9d*k2J^&ykcNAqEa}IzA^1NxSiJy`ToFSmy9QGZN>~37J8#6r@AvU>vw?wy!AMv}cvucq z`>;8pFCPL$rnsK{AZxLo(xM94dL2*JLY25sE|Mp-1vsorKpIh+@$IrxE>)}c{Y8oPGGs$Q z6D_--l=oG0hlv3<_0#tQ{cP?@W;RDo7bZ%T7%F71@cDL z69Wd+DL>vWjw2h6+NZ@O$9d_9W?53KqbA@R$&RS8khdV!!9UCbv_Na_O-XM_8oYpo z7SPDNe0>?4Fi9T^=pGQSqR6S4;TRtSnfqb41HH$vbTVN7bZ$qCGw2$zZ>P+hZ5MI>jSBvq*|c_ncL9P<$Sl~E7kDTO8PS= zC@(L@*0UC;#6f`Y3(TKEOHqX_eTq?ZXeKdeqoC|XiPQNRQUISx=p|#8Y@w#FBE5W^ zZUQKm#r;=f z`(>S7U}GF<8*nlVm_Sv#y4af^aAPvd>D)vq?pb3Cl-lluZ%{d~*<&^V{ZR@)g{TgE+z zw=k7ly#)l+jVvu^m@D}^Nhc+!p_Ac0w+Q+q7+z~&6H2PXF)<&eKWF7xu1FJkg5Rp& z1RrC^sC&g7){-!dx%D|p>rox*JuxK=iOGdDrGrcF2*{eQ;Kz#Yt#$MSr&Da zl2&ceTeW1-4R56yPE5gS%Q7LM0vy~ADGg|--jYQn(fusYwGJr$wZ5PdPCc&wk<%2V zni|(h9Y{I)yQ<_*LDCm=59Yr>0}#re*vv6P=Ecywt%0Won$5UMs?tb3fpQ4qsHf#W zCH+ffMFjQ<8WC|#RQm?=yxeO-hgC%iD47=BauG>}jA^X~hDkyU#%}8l)??#QJKZzuZgZsaMY*P_z1wg_b8B4 zPpMg##5s2xkmMZ3CDb@EY8hAJJj6JJIP>xyC%MP z%H?7w!sJf0Gh?E#Q+{%;;I=~4d&5SK8Y~?VQ+K&BAcn(7G)VeFg9^CA7r6_7MCozW zqo?oy6Mx-uO6O7}`R75*Hj8IM{|WK(ifdc&P+k_GuE*>E|wug)jT(Z5j5 zF==0qE+AJTl1kyTi7d@=pB|HQP$a|7pk$HO!3G@zo;Ti3KJ8lFSjRBSod2~ za_FY$aJT!HuH*`*b852tcge}KS8M8RndyW+f9W|^jc3OlpI=s6JOYPIfEr(`X6CgQ zH5SWxo_9K?L&~A4IG_ESq~iDFa{Q#G*vhe-3o7Coiv6hr4KQi;{F!7T1y_klSzuea zU5#J>PBMWTDyhVF-~?OZGKp>0#I96AWBz0<=}NPre`Oin@5(3{9q3*jEQkmA&VBKJ z(=>!WQe4asN`^35Kqn|Nwl4?+*8nrRh6aB|8gTF`#3ckLm_rBur$QkZ1CR~GXPoD~ z=~uW9^h_|XcJYqTQ@eOi;zVr(>@A2ELZuC@N3<83H8k`#YVC3% zFrr}5QL#yjfxGq}I(zur($dd`+p!4}dvEh7SK@l1gDRHdzkEw0wDKBphxiBm8Ny$v zgnBC|WXf`8rv|;DwbV>d?Q6nzbtSdoc5NDmTZ(L_9Uxik(@IcOF-X=qDnYUSnOmTvYSpG}5pHN`Xwy2C;V@;*BnJ7O zU`aSH;Mu6&u!GtmO$oh$zzG;#hsN8q%K~po-fbS$0DM>4ZmZZSah=-rc2f1snL{Dt zHmWptg3@r?$i_7br{k#hGu^fp)&Q9{aa=2D)>NDX1$I9F3eznbI>?W}Zbh^B41hIp zF||gtdZ_`-MQmZA;Y}2?zRjaFGpSZzOjqa2#ZiQF1^;vhyjqYR_UFTAIcKby+GKWhkk##Ur0z`{z z_e!t>T(DU|npbu!7R&5;Os4C%@-dEdY_ULA{oh01=zr59bGV)%`p-M6*5mgA8c-UF(pPEt&!^J{i>r@ECXxve1fKJ8p zka$JtMTYeXbSMNh0zHHT*iR%!^f{%wQLja32Kr;W=?=V%9T*|Q`$V7O3{dQyPAxB0 z5ytre|1`i42sMhFV`#QDvKH}^64ylyu80!f8d}B`cQUTFwF4pQh+@0M<*1HAJn9^c zSWd|5a;hyVM=z>VZEBN%vphtmj(CHbwQ{?POb9Jna^hK0yDl1blG`mKAmL$hpuk{kg?qVpXd8L&wH8K*}3oR z?CjijEf#CB)>^l<7VEaTliX95kW`XzCL{?-6K|4AlJ+=~qmmp+Qt2ikIi(U#$#LX# z9H-Nf|L2)S{eHjmw_|p8W_EVweV@zs^0^E}nl?R9yp*NYp|&D}MBZ54d)PHOsGpE0 zrgfk$>Ge8K_1ERa?r$BGZBgoEYIJ>W>n=j zI!LQA zEvMphY&e9{u->kM2>Eja&0TCWL{I2w6YiE++}7%T2#Ddv8Z0d-6m9n#i}m3Dl0*tl zf*MjYf*2Bh7YpfXstBkhsMrbNsMpZ!gj5&R%OX9aqlUEJP)(HgX<{)48?&e0abVLc zDn#3LeF(4IrmJZW2KrUSA)cPj5F7%nn2M3!cfeatlib5iK}v|h`ghuH*i1c5*`a53 z-W9w422`i?zKKa_(e%B{lbiTPeT{LBP<+}7|3l1Xl!hQ&`w6GsFX~EUa7G1!;&9)k ztamwIkFM~@_jzcFlH5yIz%GE%^G6+(FRlQ%@5`azD%G8h5HHz+ob6j=MxQIGog)G| zJ2(WBKGwvabhS&vI}EKy>xbq5uLS<5o{p6$2Igjp&o@*71pHZpeLj?_6tGuGe}$yT}bMc$PH>Gs*|uxRGIu|@mnn$y`!AbyI#R&F~dwdz$S)xx4uYLTz|&m zkIxRl8erw1PxCW#yunD}h8Ne=Z#mnuZ?kX-!^nV;yueAMHT>&0D$>(kKA zTLD>@tw_I@(SGb83bCA)ZaEH~s>xyLJ#ig7PS9z=QxKaB#(7wVg62+i9jedjNdNz) zjJR-hUY``Xd2Cu^WdmD9&SY9*C9p|&Tw7@yG@w=*;&Yt85*}<19h5ap$)H@&|EY_A z>7vrHRpDlQjnJ!2dRDMHf`UnL5JlK+?5b{wDNEpDG`O&L0gvP({w|oy`i49ltuN?2 zxc`}!wnK1Cu0^a7PQG=0OUg*zF9M$bFUFdeLHz^F0+`_$oAepQi`2kgWxOnpv*Inn z^&{j)hC#LC3^Jyk702jjZM8AU;=%rq-Jn{fw(;I?MK->oIj(Q(wKbkJt|)6HpGNg~ z1D^@x%X)ImD1V$GRes9&R#$==XuA(bgG(uC3|)kU?uvj0ODseC5|}_0QK3qYGGVa% zG2!>@kWi<R6N3^cggq(K^Y_dw| zqVz7Dv5=>4tQ>VnM{yMbLEZp&b*1}wR!|9F{0RSmZIo8MSZ8dLKfp`N_z^`ays5xe z_B>QbP@66}E_blaI_e92H+#WQf)#U_AcagvNcV=IAF!{?^wLh_b%S;rWtiBjHB&+% z1BK^31_GF49O+(-(s>xCHkT8k`hBQ8LfIh&-8!Y^uoFlE-n4Qx^GvOt$@>SO#(*6l zt&OPU81{1LUgkrG;RCcJb?1IIJqM|I3+!aMqBRY@k5O`=5&;vE^Nmjg=xZ652Z5^^LLQy^;-cB;<|u)VJe6^vIR z1+{^+KmnxOX7KV8*b?%gi{{Tlp9%1RFt7Q8g06uGRLh8NjR z6qe|)*o}_KKD7{$rlcpYQ3Wtue=@+kMx{?N2Hw{f^5bGLDdxZ;Zk84*`oOQO>4oM& zjGfKA4g|`Y2TW98uOmKBMXLH{wqETaD5S=U7pJ)f`zSO@fRUvBt%4+#qCYRw6!%%8 zl8%2R>1$kJ9ypySQ-cj%T1t84|G=F87S;U!LWTwo4m$=K3m`j}Ei(FJ9zA5Dz`qHl ztVy3+50}E-Jyz^<1q!V{l%mtO7zHBWefd_y^sF@LF_U9-AEsx7k^htSEE$O>O>M22 zpI=o_SUSuxHU>)ZCKNG-KgZp!4e~#DW9@I$7XSee&JVPs+K?m6t9WQqS-5}yhq*T^ zc*kylQ0B`tdw9KhO8#t|l!O9Y1u_eiL6c}7ZxcTVS&*jq)|ng4P3C5EziK(3!AjV3 zF4Ry+ZstqPrTmgSA-3z7pQux(*z4-JA+3Jjj2#80bB>*saH%q`5d_NZQxKl;Vx*lxG6*_97AdYztqwSNX z#+vw}iW%GO3K_N^f0IBR#%>#dt0I?IIIu;JBkcJvDPW*L<$zG;1B&1@R7dzy(A4&V zsF&uig1nmCq`Fnh5LteRY#IRabaDRAjDs{qb*uq~$0CHtYj}wwh@MU}J&*Af+E!EX z`c{L~S==$d=lCmB&Tx^lBVWd#9C?DdRExGK&E(8a6FHlL##vp@;;ccV4bdWe!@Ba0 zn^_+mR{%uK1yH3Z;-SzVAn6HardKgLU4d?!*h1|1sFIeLydcf!9I6)<#9F%at7Oiv z+fw7?cDR1rGzp$D7#vyuXDr7arK`DO* zB?#&cSVd0mReE9JK;U;&*_RLRL91DR)tu%p;Ph85AjL3r$@y#t-%$lN{2Bm}@5RF? zd*f5?0d##=dTQ)46$|huR?lxzT=sg^XLZYl3IT`T4=iaY_3^(OH!|St<8?T7-Hbvj z&5b<=@HzF70W#Oo%SK%Q%Jtc)*w6h*6C=mew)$?|ldES8a)3+jk7<-XJwS`HZ<;mpCe z?z~ihRIr;T`VsTRd${96z42Oitil_uio|>8#@c#fRle8|cYM4j-pU=nF%X-Q6Q2-@ zb&cg6;{L=3EF7=Sj&%vghXT@t-KSbDew?G*;Eh za*NQTLJvpwF+5#5F0gw6?F%ku#~2u}#IGmlc_~)N04nR&^H0EQVKva-HPB(l=~*Vj ztL0_LC!aTWXl~I?Y4Ss9;C2BeG%!k{__XJ-$Nv*_lQj^IhBS_26c1bww}}T;w@BVf z3uOv;06-IegoWm$Ll{h6-tCw<9-}LhoVP%v&WT?B5K2r|%JkQ3^Vts^db2;X*iKQa zMnuZ+9M{vlx31{ac`5l>#f#b3u5%0k|CcGk}dB zVDF=jz25Mwf-ebqj);_Tkjl1#G<=qO@Jfd@x4Zw_jJk;0o9}YQlT_Uu_V7_9o$ICt zOuS;sI3hgI)CETt&p&VCst$%$OW7`lk5yC$3xFc@HGjmDP~5@gyjfHS`sI0W6wjOQ zO5-!KZ=-e)g2WJsA|%83|3;wHNf20F50xnO1-$~L93nCxao7cqa4jg_NO|ldS#zsD zXHBe5Rn!-A;-M;*H+CMM)IddoeNRjC1 zXzm);3~I;~k@eI(dOvF&UBsKmUZkw(fWp|vR3|pE-3Gd@m!a2>#tMg`Pd3`+Skw&a z$KU4kBxK$c+@NA=Xugc}J#Xd+QL1W3!Ux@lq}pdON}z+E>HreMX}O&`!(5K%6%8bY$#$GzCwg)Z=*;!%Bz*1BHlSDl6Cjsx?3(}J^w&LY4 zvoVxSdz3Z{$nO`$TCOja8x8%CmW4m`CW;ixG?XoN=&=!XG!$~bD|KWxat}L%fI+*= zQ}SUG`A+?ps=N+J|8y6G7S+Em)Q%7(1`RtkeBUt^%j@W$==-k zskIw4sSGWK2unf;mj~@uaWw(jKf5w?>!jRP-L3sP%SwWS$BND)H3f-I$sY*@%hNO= zPo1vk)ucLtMe2ya%_Cxm4%Q$6)w_)@8kp?g5ZX3Fp%%JIPRMW*P-=JMinr5p0Uh=L z_Jw-UQF5aR`J#~R_=}X8G9EGDvVv)y!Xu0O$mdM@zn3vUr`5?548!{jo{FQ3NsV{# z84Qaxbc@cL2aUTF24D>En8(y-#-+}h(u0OTqU@5vqR@iLHCb<_Sc|XVFKpl! zPK;fKV&}JP6~lgMql%Z=et>kJX4sErZPngV$nS;NT(GOGLG#gb2UgfN{7iaaU6$^o zzQ|m|vBYh{qT~jz^0LH%L?>Lo2Osa8Ifnj-_Lf@6#z0Sb=+GnLJ(F-zKjGEJ&>tWW z4vNORLjME9@&~<>dUFXS`T+f>|9d&4Wqhs3H!2AEH%ht_zp$3tSu1-h*ue8ft*{na z`|PYF>6sF_buP=Dah^qH+>iJPi@4e(#XmVt_b9rLDPve#fa(~|fCp0zf2s?8E$Nhz zn1Vn4KQBs$rT(%LM`9-w0uF0xZednoHh)j*22_I870%{eWD8-Qw~T70SK~ub60*k> z3`mHt*b=LAZxsJYgM`j?FHpFXdSBl#O-H)t^kCiJp-;ez?_$_#+R)49KZF_|M>Nkt z(B~HN*O|m1TP!`eP8pb_xYS9{A*C|uxemhg!%(TRC(?gSQ(S~NRtvp-chM*t2fYA$ zw*GsbJ2H7#JI#P1dDg(1hRp<@f_t_is&M-cLZGGvm4W7h<(LM>Tpi?Ht~lb$W|X77 z&Kh{`h#OwnM4qHjcMI<{Wxy0Ny%J#yGi0C zy0I6I`-)A84dNd%SZ*FvhggwN_sN;JkP>dbfPU^meJOr{BjnL{VN=5s6yF{<{>}`n za4@o%%bb5v5{$NDfK|{hmBOj^G2J?y!Nz0j>gQyQFnc=JP#gTT$;m#&B)aZ8daG|u zICNKT_z9LBotPVH6Ah1vMutR!iFl|%AllO(X%`M}psd^u;oNSyQP_cHS4Oj2WXHy5 z<@QNrl?MY|yt&B+k?x6{LHT^E8Tf-WwlDC)O9++R9Q5{J$DN^86_VId9+dPK$T6b; zMp~|fpA893n@y*oq5`~jXWYTtA7(iSj;7%Rbp~m{4D6SxP;daYuL}`m4N*{`kI9Ma zet>{)fYj&HrgrUe-s}V}%?4KUf^ey)KmqL62Ol#$xbL_3q-`#LeZm_8uMX(OG-YG5 z4N`MxmS6)uZFTNP`8C5nA;6ya8QZ2r2=Wj}_+z{OG{ofK%xsD8v?5O^lTs=hqD1v1p832t+$33P{NxFunkr z$N_V_QWk1PNA;y*5B^T@1mL3@yxGwnTA0M2+o(;QtEZ{Sj908;mzb1@R#?HrUjx6dnpH7HVFil&oqg8`cn2GZM8;tS+NgG3A}*>`GO9lgo;lM z)jKciR+uq15bqp}_Y8!_1VWH3%7MY-S+jP=1@yH+u3ji0Vk$tE+?={C7`6vmK_<96 z)}{xnA|GoL9+CMVi!5TtSz-~}4Rt+;hjP2DeN)i8spG+H>#o;W#QJzUbETr2+}4La zwk(yEotb*Lp9c9)*1`I{pS4hBfo-4rSszMfyCa33cwkW1b?hb( z#SLbIx#you37;=0_t=EYK^My8DB#LQ%J9M|t$z)r=0RwMqhm>+nVZm#gB3Ky{?Mzp zI$TdZ79Z<;kK#3mr+&#-n5qg#?yv8>+FP-CwztAV$mVOBy(P31%)!Gip( z1gu2+_#;h%(Xc<52!z`C{dvLADV@R7)eZQf3TsX<&*+|?X#!3fsTvg2Knvpup%VeVNUyna|(@?(o2MdMq{y0^8jYDAJIO+9jA&Q!eCuDi?7F1U!y9eq%f8(gY8Qyz z?D5>-^#d&KJCC(;pHU~~!U4pr6UW2})_@unPxno_6VXvY%cCTR&N)u|*u<@DD+>DK zQ2*CZj09T>XT-&8hgG1$8yx4G&zkCvj)O#3-kBx?gX-}ggV=!5DOhFT4JW7nDr^b# zO+%o_7_2ljAL;hPk~`53_4E(Gk%N>^EoP~I&Q(?JOYEx*>i+p@YbT4rlmZwT{Uih+sJa(HafH-cGHkZm(I~yW$}Aych`R#Q_#N{BUAw^Urbjp;5`cuE!k&&tM9s*>@|?AEG$lkW;t%V+7>fe2gNVaA z8)KnCDk=f}?lbPGy&Vd%c^oA@wa4QbA4#zuozs2tV{$!aI8`W6hyOqZzk-$s>~ptJ zM-RxUP+YX}W=hADBcIyKezqo$p{1#DiJGmO6QmmYR);(mvPRzsB3;Do4Z7V~ZcohP z&33z^ZchNW-5#IYgZps}%ds$Sc>E!^dkgK>ZAja%h&ucP%F#CcU8!Wj-<28IW{90Nv;(Hn;J3Fe&DGM{z9!l7A9$5HpBvxPTW=8typH|!b+Gzu0r@r5cq zp8kPQQ6Mzh7lN!MTozIG+HCyD>frUGvBFKq!6lvqv7z+#7+S9Qv8Ij z<0=^Gr9=jbsn^AGv{6n3kQ%w#)$gm=Y|*9?n%izw--PU9g#CU5qR&wt+6#BW=!LBi z_Y$SmEuJBWsbkGIHpu6}z2fQ%8tkUsK97l8&D#k&?41OJFVdQn2r4dU7c^*KpbB>e zLKYS;fWIel{&Rv=ZemmF1u;C4;tQy6y&3|)6rR8;wa`}IW}e(-!WeT<-Fjv zpz&w+-){c5`|89-xPlIW7x9MAO~YfdV!?FI4Eu zk9xA2c;h4ekuLt+GJp6ce|AS-R)xn~?GJ22spjJbMP?I}MeQ_38rJUdG!+gz?Q*=hxJ9+I{#;l)s z`q3X59$d(PF;?OEztp#XtE>Cfy+~N`lCvR^ODNdZNAN0!e;11R>LTiIAO=^D;amMh ztr(}$Mqmg9v;yQAUQq^$7Zp?MAolSGnGwSlmd3pb)QPSaPl#}@xj>K9iR0KU-8A0_ zX8|m~ZV79H$F{Y&g$h`5iGeL*2m0P^#lHo|Tl)vm*y025p)ck9CcryT zqyPy?29~2E<0>K4Z?dB7J?`j+Y-cs-5Wd$KwTE@b6dRRy8;>VVan7tfjtVpxu@?b% zKce*?8{3Dow3b%$cF4V*u(X5LjzT72v3R5@aKzYuUDZ+kTg8=BtVv_44Om|{WwGny z9X+85{`~GXN5<-9SYol~zy+Uk8N%HJH5RZPz_Ev6>ig8Uj@j_7 z_X%tq3q`&ShqOT+-I-;;Cw35@klNIwVDzIrwws+7KMIMOxYRYm`5v$49zNbFev;F- z`eMAI1INT3&cl4fD8|uOO;NNA@lSPsnq$LoEMPuR&Zr_v-y#_OJ-}oBg6FMW%~&Eh z%M%>!@zY0Y9VeR4e$Qz_wEO$15lsuVwG0K1k*UQ^;}C&SwGVRibi`^$a{wbE?QFb@ zrc_}1$xFPedjQ6-ay96#c_xm8-Bo^C6-HSAQ|U%#6S1Zn*sx`g{~hL(ufZIbdf4I5 z+Xb~H=ty1Au{L6WVr}2RG2Za~B@oUI@UJ-ybP0W59#(Xukovx>DI7|a=gnjMA^;a< zPy>D0_<3u`X0y^NsB?Vv0yHNOal7qJxYuY+&s$%%VA;v*wKqkyHa!9nXFVo;C}xyC zubhO#jfDaEDtI$-=_qO-Pa#4d;4Yj1MW4&4t6%3{!5r#FKj&%_ACjD!=RqbG!S$i9 z=CN?s5YGxQk2D6mV?`s(p()|Vr0izXX7)xfZ}dc z!YYdP@ovTNh|qEYhv@B?c`G^YBkp?{(0p`CCqvactBDQB&f`ij#}m1O?@)iGVyXNb z;+aY-X93z25Xym*hU^H%YXidUR3Rs(gm0qnFTxM=$>a$0C^FZ>Fy9`T1TaJ5A7qej zHhA_vheLj)TK~KsVH=!JVs3w zxMMC0_buwZhIODn3x6amc+cJ)HEL8LXI-YLXQ9W9Qgl_L&Dx_JZ7qq*3+W3se>Sr( z4`W@L9zG6?00Na|psZ~rnJ{;X??KE`rff+yd(uhV4G>r0SJFBD633m$_f{&=ak#Wo zq!%c;P>&blTUJohOl(6f$3_!mF$6-{v{+9eJRdTTgg`++qH-N+f1Guzt>ibuKnlGC zj~@^in<#yT_-L4LP*d($2qN<=J(LW9is7Xp@>vlG9|6mMwT@22X!a>V&+d=RILc=P zV*8m(zlg(rt1)(+F&XD#10Q&it-zUEkG6tx-`*{@qJs-r=~Mh7Aozo<#5y&@LVDx@e zz94wY)}WXUh$+xBSeTGV^654xc3c8^h0U<>yY#h?7GR+<0G=#jrJx+ZLcjyPX8_dP zn3E_xFJ>1-z1k6M2HAYQV!1#lQgN0gv5G&V;m_D0UT^{x7$t;s7$4zoAd)X|AWcg) zD4Y&w4Dv{uEEwwx=A7dhO5nQze+KoL%WH}@HwfG~3N5Zh$t!J!C0eG71R%}^qC2e!v}X?1sqPJWvsAr4S93wP?SfNt=o1K$U{AA%_#Zw zs!&sKpA|0K%y$i+J`^8yoQ8eI8$XAU@wtgc5tMpk(?KgK9$a8mO-JY7Gmiy3t!2T& znc1;fHWa`bi#Ty7P^OS7SjPGD@UfURslc~~$+6HC;(-%PpEW(3wra1UHZSj?>Bmq_ z#vD3@Dg>q=&M*NQq_&BzFh)H^g|hZMfDtOyZZ57%kZg-j_LkuP;55g^XLHh766Z@PeRp8i z58GLA8|1#9;8xBonvuMWk$ki1!IrZ|KMXtM6F{?Ff?0S8!r6k2;A)|vH$)bt^`K5+ zaGfR3Ngd9Yv|m3!Yf;hyl6xZqmjc`UI29i%W+>*@y$qubqU!McK!$~taz0~@JWxpK z*HhVj%;fgk04&M@%!+q zz{K7y)IScWIv8}CRaZ$Va~6x@IT5NU!~#YD0)4t98VrmS6%TtKxVmi(F5sy zr3oM4zQFpb2L`!!(_8Rdg5nhtgS!o6a9CJwivlRqHA7^?MLQ#kUMR9Vai{guY@j^t zjd?4;W5}JEjX#c(f5G=GbkjGKxOI$?ZFJE91_8#=Fx)NhLc*SXQ-<(nYJH3x0Rkry z_Aj|;sIm*3cpR3=Jz%@>65345N@}Q z4=c-^{eLCBIzxOWE!g#cG`-+~enr#kF%nq+)U&D_pVJj#uW87kU#LSRcU zx1>|n6hICP4i?Oh$@)IKOLmuCWzhiSG+A&}fjb8{Qe?iuvm@2dt4{du)tn@pR+XIZ zF#<1HV=GuF*~93gO7=O*&ZYNT3OA3~sj-IGyWU0Pw3u3P6eY4n3`MjbdB-2I$S>z- zF{fT+z?G_%d?d*>P&n^`$_bb(zvpNJ20&|nA4QKCLa^i$N)4oH z4rrN9pDO{jFU}qUy^2U}BkOVniw$v1^M&psU)E*7w48lYbQ_>}jvrMKRSSTcWodye z*!T{kBcdUG9J+-{1|Gz5nHC!BE3){@2IGh|Mt)v-vw$&u5{roX~4=YFtu&82XkzjM^2%uV14zyjW!0yVP+ zm=usRg9jPa%bB5CG5lq!wgYd{Hvw0?Gi;Ttf!DmFqYEl$8B{NGM$UXIe;&j{*Ha*W z74!Lfx!pxex%1`)lAVS?x-w=1BvzWMiH(e%lH0I}v)UD`rUHuz?^}FPZBgle$JuncGwD_OOqM7}9LDs+z@T@N)zF#rJ>*o`Q`rg@4` zKx~@i!=^M%oMOJJro9JGL@Vzn@42@kWfEaZ!DlDK7{#L%SZ-d#Tf!W zC}p@y3n*mxZwe0dg*xxEqNuy%w1a?u4I)Jwe}kph4%mm|Q1szFtdZSVHtS(cxu4Xx zW%$X{gKvYudp`XPwg|B14b_=sWCw)fLS#jD!WXBsy zebqI)MGrjuDRZwdUd9bCf1CO2_H|ep#*Wf+oqs0#O5JJGKVrHQ!x78mqp3tUpFZZ46zvl`4#`~N=h!Kxk1!ynw?q@+3mh$E#7z4E`lG+XNSBFvjlGQsAQe&L zecl=P*d0*ZT+A`pkxqYw81NUVVkcH7w}M9lCcb`w_lFE0D!d4>HUsynQMvYKCa#iG zKW8j9x~L^uSayx~=Ygi{Dr9N&P zNn0^K(#U<)lJTUvk+Ax;V7^q_o(Zd{H@3llEGD<*UV^d&>d#8pFCsPWC~4_}ykEdf zBw~szYW_y#ue0$z^Mqp?0I^Qo0-J2*YkZFBARn6rh-smK>85@N?UfU%nfEyXn_E1H}Z@KG=?P^(|)fMj1ae+ zNhNy4k}W|>lvM#=GctSeb!;{9>2Osa#b;+Xna6{T{;i_6ecF8D|0Xd(q*&E`Kv*Mg zKvd@V3Et7Wv1*(*7l?xp>_2G07r?});1C={QZ`TkR=kfc0dB9pY(OT3ZlOq8i12pA zC6FR)$YKUo(0lL^eqs8ns-^(Wz*lKq!mZd$_yh!6;$-T}Ub*~sk(0XAt2{Z1!>oPq z^DNx@a~A26KBZWt=9)kwsfyLRhQ0m*!<^~C6>OZ`%|;hvKryWKKe3|xeG)ks0s)kT zwwR~&1>iVe((B{}2rASo94bia39QtxHKs`y0|qGpQ-GCRXmqeuKxeo9Ek!%yl=6FcW2}R- zCOWc_xn=VC!fg5>_E5y;Bp)Dt8H+?2{v2SU+t|phY@$VI&GFR7eImf~RD@IK`;;Wz zogZL1)z89NWf|qDQ;N8ow5bmhB;~5!hv+2YZPF&fBoJpYE#24)ZP!O=1K zevX1j=qsu@q1brGK#)cDjcRK`?qLPt-|9J{8=wRo{{#->Qh8hhGJz27l;DgXQ;Wzk zo?{9Fyjkrvt7BgPx0*h<3Byn~-%w`Y|YPc3csE%rEv; zMsB0y+~-*)F<~Z7#|w@`ox-t#b-a$uBkTcTjzIoEyb*%KgsD@J2{44C z|5~;}W4MJH`Hg(m%ZUBXAq?%z+XE1cVY`6ug+w?sy7oa>4y@KA@RPwQ<_`gh2}yVE zNnfKWw3m5eV|{%?VEl&m^FLZo2UsvQ^}5HcAC}WN>#>34MrYozruxw)Zq%Q3v|0>c zrnUVMYGw7yQYN$gGw|Qon%hrj)@=ir!`e519k#xIl){tpz41J6JmHPU-SGyvj>H=T z)pcHWJdqubN8^d~j|qPqCZ7pkJno6d!|}K;o}Uv>xMIV1qYhhenoTc5>Rp0;wD&su|VQUfl&!L&qtZZuGEg^LAxJu0={n4QcVUq z+wFm{n$5n4IRidD7kkLZ=_PWo9A=ZTkm@~^M&Q?pGfk8!N;(*YzL-asri?^VBL?MH zc9qit@h!|7UPL*CtXmfvS^g(NO}p<^mCn&$LJC%ygbM($pj-EWq*pK?R7H6=^bF2h z{f4kC(L{zfruGkNmh59b!h9`vq-QDSUmr};4tVp_72+yN&{G2pp%>wUI1;)=o$z6S z1b+dwFa89wOC83EgkO1{vxP5BGCb9g0IP)!H7*CLpKNPI)W(j=n2rx zAc`Fd=8V^1gmcANK zQiX>)falR0ZU?qWl%g`qt@A@!q3*^By~UnkC9Y?E#|`lh&mFmuMTV|p@xzeGj`jqA z3|rG~@dt>DDBC_(RyGo^rj@pW_*V{9qgqT_0amFP%(zM$ia<%d{3z5{dV|#{3tDyr zCqMrf`C&2oB8jt>YZxSq0<|$`L2L_a-*+|ZL_v?QXe5ft!6w^iyEXT5@;MTqa|Kkv z(iO6vdYr;-vG97rN}#0{s;1+x&wk5CI`yGbOJV2k1@x#^v8aKe(1g7ix(Ge!9=9SG zyRGw&Q-lSrdxx=L%j$jv(_1X_LQqXK21shZHsPjkQ*P!L~!4GWKS+&*HHs)F)e0Ily9Yte}FN{bMPqQQ!?Oyb`F34 z1iRJ!6Yl$ju%X5pAqejW_wPF}?KaUc-W^9EiPS_gyVqFD5vI!(C`ygEA(E`d z-@qfW0GGO_hF3&0eqaGmJVQ;Di2pGKdjT>N@9!i~lV{Ddc&XZZN!x~Z{x%cOsJsN7 zA{5_j@GIc+n7oz$AR#jH1BqMlTYp!-`VSJ5@w|T`HNdO=6GuVM=r>5@hGdz)nK1!6 zl!D61X=q-A$eA?AdU6DdxbJ0joP{^ABNSbLzxHpd-;>nJ-B{#^ppK8CE<6}cO&;Eo z`d6o(8eW==X7%)is2yp*7SZhbAIi9wAM+rsMQFh=lEPpn>0zRoW zzKUn#{y(Z0eTmCgxDLDbzi=FP8-JC{EALtX0beC;H1RzBVN^YF9B$;@^}N)FBh2I* z>MbI8$&{B7J!6on7k^v*wRhDc?{S;~j8s(ZP+r&XXUI7Lbe_Oplept!u79GQdPqI> zQ}r%B;}D&HOFi~ytl{!w^$EOC-q7ut>RcPQqe%7vBuBv=0_piyEve47RA>7eu77Om zC)LaSMO}TTuHGX49Fy=yJ!ArD4Qbk~kTy}rob(&_1`KE)Gun&GB`&{U16s);Kk9cb3_fQfkdQ)Uet%>sQoKEzy}5gzYpG)@nK zZ}ut9J@~cnk;2bJasD^zs5I=6>{lgW#NeufbTA zFg_!h!T*V^%6L${v3W2ub^r(ll%@fLP=pub)eHkOFui$%F>#$kpjNUgkKpzAG8^9P`igDLVzR2a2C4{jF$(YIFAF99`djhrowxWFpl=;Zv7a;`g?RWVy0H%0E_^_M5tlR#c@~n?rW5zLr)YdQK z*nn-{t%sn6=#%N0Yh{dQkvM#%VN{KOfX{dX>UJReiubhF3vi9qb37=fc+ls!ri^F7 z;$KixS9>G=e<8qd8u=&=0}oe+3b3_c4+RE7H97EQnvp_j^?sgm;DG$$cvg}(LQHl0 z`gj5{kH0)Cb_CK9HhzZsiGF&n!s_G5Sdm&*4&?O@&toTWTA6h~%S`62yuqev=uf%Z zTj&k8@P}{n2XA$IYTRzbyAP>e)5Ai1W{Oj$&7MJt!Ls+(U&WWns0tKblV3I-qChbi zw2vZ4;7~h4wH*yQ0nZ3{gG0*}f`JNa`h@T{kYi*M{>LP?RRTGF4N7URNfXIWn!SV4 z+G|`+=9?ra5hhaK8?emsa>3(NjBErNaCm)4KC#_A)HEH-t>k7=iZ?3JcmwP?c+Z%E zPc!7l*azbxS2TuW=Z7M#>+D3Ote@yPa1L~xlLqBrm?HwOmv#ojgnuSN3FILQ#YgD5 zZ8gh5W&(QRz80u>dO}_L60+Y%i!* zD53_{=hHJatHnlYj?H`YMx1?VeLNA^4b%E|B9cwOCeCl9nxQQVeB}kctY*PRac@@4 z>+crGjr*gGv*XSD!A@RZq1Tu1%jy-#Dhep`dBB4fW5zE=Z*o5xr(qcg$PPSF5h{f1 z7q$g7Ss^|wD?HZnKS0yot!;pJ?0BEQzdu~BV2vh_fDY{gQY;i#g{+s#JW__^)n5}N z8$aYo>I~#`3q=Dg3W}wvzNb^@vxs}w(-RWGiVf77ZF*Yq`YrSXUN#$wUD9G-W15;M zua=$TmnbR&YIfgPz24=F7SWSj%3# zqt}IU-TJMV_Jf#I5K2LDdgLCaPnUb49RD|hhj|AM37okQo55bM!ibxn*7eD`k?a*k8>r==3%O0E^}83SprVgH$QK{z4|MZ-=P_?K3;qP)6Yn4+O(7|W ze+psnhR7IuM(699%{?h7%Oi@>A8F}yplEa%aJa5%bt`r< zd|w$_lUU-=XIO!*KY-qgDZc=I&I@ti+E7>BnalGNh+Bj+(28rO>MDwKj5pF6wV9gq zEq;N8I_zQ5PIx-+N)7OTg4Ro-R2kH!aA^-nt57ficCPT!Lo~EC61HV%6yTEC>K!f7b!Q~Z^od=oFy!F z*O=%Z+3$g;L9L|@$f)(S+S+(4D~L8#3pl~<0K*9)2C?Rdr8Fs|AslW#!1~**tZS&* zr0}4Qk^9*AaGO7|oKhRTr^MW$u4F+jJ?PA_yO42RhoHvK$5^*cWr-}!oRM?mLY~(P zSQh>Z_isUqKBT8|ru1t5J_?B-wb(@;NU$|D?1teroXv57wM-E(49)awxls{?7q{~7 zwT^G0JCkQwadZ=FAA5x2i66y{u~%59+$R8^jo!z)2CFCL*4XG{dJ8k) z-ab`noFj%&q5l%FcjNOe-MS+5$k3uO+`|%mr%7w}Tw}sNAN_=PgH(zQ-&) z$pu5=DgY#2AU!s!>IxHu(QvM{@&9l!UWaP>CEQjVo|l+;uaJ=un5t*d94f7h9F@tQ zIBVDvTk!oPJ2sHD!Z;(`FsfDi(09Nz-ls~JHoVE76f_GzAxu}xgBpIs5uqdFI4Axt za4&YF2N27<@TNfaOlP?( z@u@WDtSN_>h^F3{npOA-&u(bre^d09?~v=^y{k{5zJ6iamnyu`cc$;OncE-Uvhh`>|Z!%+u>XakP00SLVH1K?v z5x(D!du)6VpR6b}$c=agT&uB!kfF_y&2Z2Hh2i0?JOtbToy7tP1gS*luOg)3%!GTa z;h`3Qhw=Gn5C;w>MM%fH_uwBw3p`Qsw+Y@ziy68ZHo8yH?P%Pf!aE*o%_V9po+de4 z6ak>TI}Pv!f1wT#6eV|$g?J~0UX&udSB14t5z5%dlqowcq%)`rFJ<~sO}dcF137d8 zElK^1xxPQl`%0YLQ4yQig|;%@(dBT33&%scpeg{8{&)#nUL_)1fJq=lYEKLOZQ{wxd&KX5c`8%aVx+u4AP{6qJRd1#-W&bvx8L z3^64TADffE0-jwk?fW09`ZiHHt?w|1uRwdh{bkm4KUI7xyjkbiJOj1Yvxsp{i$9>6 ztv$}QMJ(3;IGf}1xprXDRFzI8#ed%XPSLd?7X(56HDVexPEKhy@u0->QJA94q+&Mv z<@EQtUyQVIeVqvWj+}qvIF!x~fsL^(Jb!pO8vzeXdN-|D`D8lVh2X$K9}jP#b3+I?4#qOhER2mC9-Go9Hl;y$#C735#gRc9&~=sv5gF6pI8ZYLDgaZ&e>Tgj{c?_010x^iFrEmU}*^`0%qJd2M6?kW%pyTx8H8HJgHbXMV&XO@zzLSQlbRvQteAyhGt;WsNdwEA9fBqO{fSOl zSzQC6abEvWU-n#lDQ2+cKNwpsxPGY&IF|ooTh$MI(~!3;flES+NFzlDt4sULe}q;|*n(CxUq$vh(x3 z-qu+;<$+ME>`-1-sEHrSlO2b?3=7G$h7xjfY%ojJ@>#Uvf0;d;f_w!!LAQd53W>p) zr{!|I*#kgAm7Ev*&E;5m(#su=&H;2y(Y&j20GROg-NDj|-hMGv`9EAozQJWZxpIIQ zV%*Do;n%SZVY7J*i!@s+euoOkQ#|Q&U{(Ig8j2P#R1kc;7wMsE)({KcpoTXYzFV?N z??bQudla*nm&z`RKMH~*oHB^0V_PZT_l<;8#4a5&Kl@o=nQ_isCQe8NiQlBvzQVx* z$D2Q@K%0Pj|Heq7JyugY-K6!bOdXgROq$a?AdmX8O}>RsIgLbUA@i&!D7DN22E$y3 zH3Oy+9U*-;4Ux+X1wPqx+ zfMT)1nP?Dr8@|Q-kvv;YR7*aiu-+PPtF}}pHgXV9B)|qH!WB4M6un8=+4dtWr|Kun zCICC1C$3yAEH;-vVvT&0Le)R;25531JT;)11i_4Zgbmbo1NBRMQ~eACd+G*mAsdp& z)uK%8izSazAop9q3mq3gN>Sq9?_j&yp_nt~QRbL&)hna+ zBf$J@b_ky;!wgyLjD$nszG&zD>X=c^XT?!$_C&tNvayxcXzMTrj{#|O6iysK4cVhG ziB>rWm&NIC>Q-3kuZ5*!82ngOdk|R@jwG&Jddy19WyMLOrzd`sH>=Chb5FLc}_){!bmJdElRW|;L zgzC)zZ?QE+NpXYoNsr~%|O~f ztQjlH62i2dz@G)wa21XwPQ}%K0_zKEUk&EyDg zPE%h_lVEO%JJisV6AOeZ{8`Nd*`YvoqiA+C<_~5gNzYFBavEjlB>aH}p{!W8KPM3k z2ZE7cb~GzH;Sc77vm@C#k;b9??Cgk*kH_+Qjsco|kC=^I1*1bVN3I zq1o{vVX&djncXklXefR3E_oacGopHqI|C()9P9gcAv%+3Y8D`6v1FeVtByRvUS-k6 zP!CQ#%VKwD+|#6nXN5)X4H-G8H%4_h^SPIUFgSTsTF>qC`X(F}eU#2VXLp;|p6|u; z0o}dw>|xi;SH=J@CVpT@ukPU!kE4)@oQlh@nS-NJ{HAn%&P?p@iAy}~&+<4#Q)yCq z=^LM!KArc7IpoZMy)_O|7ESzhlf3yT3ygCVg({Kk?L{B9;t)55-KKZuvwmypg4h>2 z1dXGjMf&hS>kf)lI8frcB$8LVSji03It*dY1Te}j@?;{Lf+&{`vA0D@FAK{he1Z0` zNXPvY=~;wRcqceBSbutH!t4$=nrlB)Uv-Ol+U)hTXJ|GS3gs_z6m4cGv78fXLsf1wK=nD~ zQG_ATx5p^S=E`}Qlt$C5%6+B4wETfMacnbl9#ZHDn9ZN5d<$vnKQHL_c4d)+kU4YS7Ox@rZ>KKA3zAMN+Kl`i+n!L?45+Kj08@OE7rZ zz_2EUG!Y6Zd=q5m7MQ0v2nXwF4d0_a;}H~f_6pAk$f^Ao`i8WLPo?u~(>RKrIZzjl z7dU@V(5occ0JgW1OGFdjuq3@lyvzntueuMZ`-^CaV}oczTzh#wn#akO7_JXc+q za>!x&VBKQndZ~HMCMSrsy|!jPLoQ|ilsrDD`q3&~9S%qSa>$`o{24`MfOENk`pJ6= z;Gvp~b53>`?lR;GlH$ zxtxt@Y)Qbh?)iYi)}tR#%W?3!VS#X`K=1{W&UUh_#-RP;GFRi%&l8GcbrO2smF*|~ zjI+LzA4he}d5(=-ZVGwQgn`k>nvK{5R)NQV$}|-n6s`F>WDGx|vpTyqFMo>}6H?pe zHY@;haxTan>*-zD;C}L~0|IBxT2NLl@tSSY=8NrRH}MXsU*?9A<*>d$PY=p2U@DcD z#bC_ioSg9y3zsjXtO&3>Sdh5X9KyR9$akdAC={O(a|N=J?@0ENx%3^WTZ-}`ucz0w zj4K(x28_F~t9!C+_Udrh$@}1df`ea{_V;mB1!2MQcR=4O9b|Z?XePc^mVeIbi@p%mEfEyWrc2d}%Ve~z$o||jkQ8*$j zvxHWdk%@+_(1kX}YWXpRTa5Aloniy-M^menHj|)GuVHxaf^zcz{ym5KJ#kaYz92U_ z#>6l6XoTNtA`JCw&q@4F$(>pUa~`sJIiX<|YF32}$HjIk4wrGbDr>HOBeDwott#MWX3?EhbXq~J8 z3Fp2njohEoa zu+UR1k*GnGrO#)1h;yBuIn!$f?q=aGSRKstxQ`K9GC>&b_Z{25?$c=LgM2%O^T!)#~s>0Uu+01H5(j9aHTuGX@< z?LCY<7|#xE=p0W8(2l$Byi_No5sgjgn>r$EfvPH}ObRhI9E zxJ<=mHLla{OY9ZN(XmMGkf%8NjRzAVLN3rk#tMuxqt3}P{78d!eM4{6R*Tz%m^pGMusF?6*$jkvL#x}9Js{G@%Hp3>K7Xe;m1 z*9-xn=e+7?tOZpk{RdBSY%UlrcKn!roxe)4Ups~E2$iT6=E$(1E*#(v$4~M!%*W5N zBj!0&25e?gDA)~H9p3(`6BP5OdOr}-d(oemJ6dHOJxC2RG~xDStK1})yDjq&#es)y za)`z-ueJCPH6GNpa6)+Cz-adlxox^c`c91AJUUj@Ce*;jD>^{K*3YNPp85Yk=Zy0c zkfTP0q2g->h*;6zSen~%LIq&TMJkrekD+y-cMBIxOg*$HtH1d)c~B+YLSIRg5SK&s zp!^gY0|4YP)R>jt&oKpXJcO-STOtH*;*$RSor>=`sb>SFSP+BECBH?*9zcXlw9Y)j za+)|ECDkk}D~Myl+(PKQ*d17P5%+yXmDpbYfqf1H!q0ikDoU}oY?w7Z#TufLZ7oT$ z29RRel7hwbU-{6;WtJO1&SJ6GStqRHCGiJYe*6($72n6YM`x5ok|W{|G1xR=i!NHu z-xV~GZRgvy*w6TD>`pq!pg1yoC#$JL@hXAN&1#Ar&^FOoIXy}-sCA0#vyiCZazbKg z{a|WWFSxsx)`_=++Ve2T@{hviJk$)qQ@3Tw9aDYECQHyV@<+GpNamyB47}v=CqDt- z=o7XRl-ntwFdXhP2;EP}uiXZ{R(((lB?HqOPeMj<#0=ZS zFVgif6X`_OVndgS%gDWgp2~$FnMKM&;~H4jO33_cbIF%@les-M2`{gD8s-*$JxG{a zs9-qsVMstC4NN!bH9e3XL;_A{e(5Im0Es;`L2r}=4!{u+Z1OYep!JbU z!DK$QgstQJl4`~s=4&)qCP+XbUc?Jt?5bk2vUiNR23RXVN9j(}sS(Q4V9CQ1w$enF zj|@a}+0k>6PMwGF7FFpM1#Lpn19p*xe(Um42#9A3Ul}@i85A@7JIh=#M+}iN=%Z0^ zHFwiG_7wSH3^Mj2lk?fliv{3QI$(eIYtn=e9WMr^=Py#^VKH20t@<++HSZ5;q_$8E z%|tQ)x;tj2W_SNT-rfT~$}(RY&Rw21y_ZbSr1ua)2)%{g6%m0|L`5viBBG+=h!_wM zDG?ru^d=%AB18m4nsfmX5fJIJsEApti^_Z56L8(#bM`yu`@O$6Wim6F`pjMa;00+1UTJ_|*1OU@`nQdYaM?;ktC?g6g!?&6P6L1OWDDn;%V6G!Tlv$)H{tP`yXJUZq#?NV0qJz&fjRb;)5r3}V7YPM>p^D)1#)AHs#~1hb z3%%|@%$pnY$Flt4Ot&xK3kJR6B3Cf(@@M!$VSngrLaWr|E>)`ue>h58o&jlr?UjVf zC#wB85%Byebih?o4RSO*f|~@K_sUS=D5Uv-x+}koYsa6)$A{q%@u`KM!zGx7NKUNJoL~!AS6`ymiPNiz%3P z1{PB^c&uq={3o zb}_!}hLWrOF+`T%Bl`r9g_$bu!I}%Cu|cvoQ%{4?uh2D+PQgo%Q|V!7-9Y{oE=S{l zySNdfric|7PK8P-oI=;2-Gtx+gz?7C38b6gG!65?_@MOya?=KHKX<1R`{OM`jk~NR z855wf{IXaMEqHt&x3;mxKp3OMxL90Cl~I6hC~Nf2XJ|njl_0z;3B^!E6q+c0B7%bq z6{UV}oqt{*efAmJBkZCLoURtWybP!N5vQxQ&DP0ozs>IalhfanwL7V+XK7o&SGt|0 zX(*6Aa+VHhn99;@_U2A6pjKr`6`I^k|vq!2MdMTzz zTrZkW0*?CFA|WZH*dr)WDnMhq^?vh7ql9~?tMpEH5W;%T5qIh=3^nq&4Oo|=Yoy#N znn%nES#BVfzbA{CDL~3bx~l_5TDw8)HQq;1 z@e%WbM9D%BKB-8$0G66qEzAIZBCY_s0U+%l8jBCo(f9s?Eub9QPfpVNXc|vdza|bh zHl8(js6kpnR)js^1Ugi?H$?U#TD{DsiHP$gHsNsuU`T`#++^g#^cT<5=dfm2E`Wrt z>YXk?uia8zJpDnv@C)imM5ohOsG3HjOA#4;K>U%HX#MaEtmo56K~yK1(F>$?6!?Si zIFcXekr{o)8C^#j1r}ooPU6t(QkMV9b+9Ad2bt-D**DAwkpsbhkg}lc)6y}UfVx16 z=z&Hy1-ltXR5DaR3sg$C$g-unr5-?Y?wc=YhrZpvX2XKb`$j(_CDAeDSsHtm{Gzb4 zcrS1TMoD7$GSZR#B;(wpU=*p+&A&^D3M0NJ*w5;5@$ku$6F4WTYT!(YGu5>^FnD!O zUXpxrE1q0`^CGZ%27T{ETAAp+hd&a!qjzLGX%O8Yo_*L#@$}2cb@7CF1}K&T%Bg@W ze^gFBM=}sZ4oaIi0FaW>O|o2Qp?(v0fr6fG^B^d&sl_0lv3H2U!(Jzv2h9oWw=gB_ zZi95{Y(eTrWgm~B7*F7xI^wBPt~^zr@K@>|+?^fdX&Zp(noFgP(2QX%7c%x1t-ENY zM$Gay7#R|KUqX7y+aLE2DdqWO!6v3OqZudaYBmVF z*G@;0=RnngOBUwFEm406(+ou~SqhD>4wv8)mFZbc0u7%ff%1hU(DX8d!@vp!eKNVE zAacVQAm{~EuI2aABKnk0ThEh)apN4p&%GbcJ1O*nk~D3+>EZZ1W8|_r8!R-6~sQ0GG0j>%1IoG;u%Ln8MC+3Y1UyEY9B%sr9?EyqjD=b+8KR8YvXq zhRB^EC9nB%1cV@(qPMz%3|&S#j*&u(V-cS z0^RT5NUgd#^(kLcMDHwut!*2-jzS%xcC%^F;BxAuNFzI-$crZ9kBC>lg9)|D@Pk8o z6nT<3wEbvK#&=Xn4=rZt;GSKAavJ`3l8Q3N6{HyZL687|p9@%AHhZ4{UY(}46-h}7}P_rfsqe)QX&*FiWz*$~y#*MzQ;HU!%-gYxPU2^%ad8AJvJdL(@^c8|=J zJ9v~Pq&D<@7#mZ24$7$hM}%ECr9GAHEck?AhypqO8ICy0{!h^JXxOP{Zk)&`qEJ%} zJ{Fiw7#|>+Bz40 zDjo`IPtq2eH0p$Q!YKX-G!d4QjS`0MUfd<8thLjHQg}NAxh1gfOrzc`tu#-#cN$ld z0ci+J9TD<{;6d*YlY;+DR*_9)425)Z3XDAE37A!X6~kr@61r-F%1jCe%Y6~Lu~LHF zf;{~Z1nS1_7*weBPYb}dwQ zoPY(Mp&fjDkl222yqNJ^YPkqmV=alY^)yR|bLjBh*xKCEAb5wKBS+dwdu2`f7V zZ$#2kY7J#CYoTBue?#4gXTjM-X*?xZ3R_IY8z^W3?kUS+UL!s^3k7~y1-Uk2gdGyZ z#jz4W1p&c<)HIMM4d@7zw4>2G#N%JdA>n{RATa(|l+j0q@)JBvvG@Y$fu9uE0oIa- zm3D|(+X55JZkU$p2fx8a9;N%K(~qT%O7H7uzM;;<5J2W^fV0qyD%t`KY78LEZV2|^ zs};4WgLcrzFu74o@Z^qo&uH8N0b&aKcPjOc;m8E|TZAh5{a2`^Tzpcsj4WVVM3#&xI&>Rdg$jIs z<5)ofFO`ypsb-K~hG45zF=x5S#tW-!<_!ivDK@_tI;%~;rStB{yhL)tuOrp~@+o?r zv;%wszGRt8LRIu@MQo|~8HdeH z*iXh{IB4BExWK&8z7)GC$lT`@w7!O1;lDztGGL=?7!Z;_z~&0`^_4%Ewj!uGLH{lT zZE9m5imnyzw@^blEgzpe!egC@G+-22Muea183qVBTw5-p^WkBC5xfnIYx<|^KP}AE zzNF#jupGX^t0ygVcL$govcOp8uOkNl@>v#aohmrK0x^gD3?&o7e*k&O#IendB1p6a z!Vu^~{u8c+PSkmZn)N*8f;thqbXcnXW?{O5_eMJx)T{O{DoC{bbGQTi1BcgYvlYPQ zK#2NS08DWT7%8-lQuqzK*jorxkE)>4Mo7gwP{UA$>>zM7T}s#&G;kWQ8I>UBoxpFV zK>}rtxT&-j=~gvMwDfH;`anw|GVXEa-?c=WEjuxl#XDb zfJ@W?8PfJBXT>keK!8q?k?#woR5;R3k`XUsVVH)E?<8diKT1;8S6^Q=Nw3TSaP0J6 zk`5Kc%<4B|@|tfKw;^Pgp8Er>4{CH^xF2BS zGnS)gxSW#>oa}{$E+>aMIf4=iG!=xT!b%AWUC&rZ!ufqs@b%Jc@5*vqrXPWSd43 zJ2bLWLuGnB%JCB=^Eq;nPEbI_lNe$Y1G?2LevI~71V@aqGV~qDgD~OEXhLU`oWyK7 zV=b1xOW5sGpaFFPRqL73k2t@ayAx(Wq$*Jf`6?+$bCUI4peCikffwIRXYwu(Efbc# zi4pia>?721sZ_0;qF-wg*#zp~^8}wT))1s*hZsK89~EKddkBI_Qc)V7;t(5(z&@)i z@?ciT4qZQ(`VK#exz^(r;q(jh)@ASjklZ^2Nbo3ruM(igvQAR>M2wWnSOO+VkQstJ z_AiXC;>!Ej&jLbYrClef*YAeEvk2cu?M0u%Ebv!qKdrGtB&Q0n^j*lnu+ElGqOflo z?p{rdH!Oo!i3TZR8Vo)BFzK+o5?h^hfs9Mae$YMtN+|%ZGZ3(gH<;Y@BWzv zO<7!WK?~mpN?@U0`!mgg9UKemseh+|gssOi0?VW^B>LC}66=dYaTLN*uPA8ap(O)| z+fGCd*AVCXt5M2I${CCyY&wy!*Wa0ez7L*{-_7pFXETO7<|vo7B_vSIE7qfThYI5{ zb`UxW(s+e?zy`$XcTk{BlP9P{N;7-H_YVQIX#BTOSbR53=x#&%p1Hk;NIL~q$`UK` zNkdnV=7I?Z>0hWV;rB%Klk zO@h77lhFN7gqqDIkr!zjhNbjY<}uj3GbAq>$I{p0nAJ#Cv_`TSU`vAQD7*q)s)x2b z02YM}UL_h#w2*OPdQxgWAoSNn#}@O%jOIGjBJo|T-JG6+kxcAe%t{WXLx+(alwxq2 zo69ughQD*Sk!CLaMr?i@?)A!`30gm?WsO4mE4}y96ni~HM4a6Myw`{rUP}uR9A(6- zpIDKW=xF+Yc#!pZylXNEg+bx$8*@(f7Yga)H&h z)x7i@Z4LaXJ)EOA--Om^gJ@PLn&Xb<*o5mshCK>lhYU|N4x0r>H13P$xFTuJXjUwm zX^Upy%0LvXuH0xeeofvZY8DY3dTiW8xrZJgPzjUTqE<^+fGc_gAhDk)_Uu~iZAE0l z92b#6)N1dDi?DPX8Qa;5)LCB(39d~H3^~w>rQK|&x|)eyhE*&QKG-P`d#{8QHa>_H zw6qr!k?@@db%kvpPr`O5g>F>T(VR`-UkJ7NlR6^Hj6^DJYK&QLk>HDfA@7W|W8UV2 z&@YTgpqXj+Y9Xlfe=E@ zbR3OIYW+K-xPnxo?)|WHFGHHOfWEKrxUrZ^Myoa6h#T~N$m(RPRf<&f(jTBKI{`~5 z$Kp1ro+)SoXEq24KyBT_0P8UFh`3Sc~maHh~ znTcu)c9sH{MKQ=_Q<=H%eY`6I8eck4bc;2NLIn3=dV!Ls%);e+F`>{?$|&I*K16O;cFGT*^n7xP|6s*#5%rqUJ~0lh!?i z_JDXUh{uX`8ES}=03c`u6E;wy_1`v=VqlB0$hv@yJC4N)^4dcH_RvY}QLH>CNvF3M z9aK#_NzQ;Xoo#{y(U41Y8W}PQrl7)DT!f(oNDQn}dC^6R#vppaf^-RBZi-Zn4wVau zbDiIK%{gkRo3CY%%PZj5|7(gsT=}h^dUlhRmcjq`w?06CFKI! zhQC*#fhg^j#4h@o5Zw73pXGY#S3C=gVA337$A!QmLv3Y}zCdEBs>{Z0MsF9j`q10% z;6nh$rrw3efvGyM1DG8OP-vj*L$j;;x3_(XNu;9?Sa!#)wPYWWVYHqq&!(=>8Yl~V zN$7T>$wG~!%MrX7=z3jcXtHk-xFyt_=pv;vkSyOqqF1dbl0vsIm4U?F@wSD|=k^mMlA^$8+lbL={8k^e4f>F;QCAwNs3mZa7pxY*AfREkn)FBW(CTb% zj%U(d6?x^M#;J4(=~l6ZI)h{^b^i!~H7yd;bcQDDC?t^=iPOQ04kMMwn254Rit>ck zKs8Z|(Eu)pnXCPvee*X)5`zjvH zOg>?KHm&+(jW6*64}*oZm#h)+ubbb9j>PxPXS#W{_=|tNtfGZ-f)4(byoI$M`*e9E zm0~`6A$18{*-YtHHk}4BlD0_LzgIF6=wAdSwKYKg;Dc0EQ6{W{Ip9jVi;KU zW2pRYV=INU;)wFV5e&vr6bRcB#HnNj3ZT4#oFhJ`$UvBYJbijjyf zm6_w!XWp5S@K*-o8G*DRo?w??VXI(lkUyg|oS7LeoCOQ}6x1K=XydbX2FFfzhdk(4 zc7_x%Fchp1O{hh|_%IQG5NyOd*lG>AtMGQN()MB(g_vHItV87+bs%OOHqzQ>0XSCt zqI!WHk#+-*{E0;0VpjZ8GGCBd3A7^fs=rTY2P3dG zBrZ3f63k1oLZeC$p55D98dNGDssGq?1sV)=4uY znfB0094G`fqCs|*93ikfl*xT?t9XcJ($N&Xaq7P_@;G#x^4j3Mqy$*yG3NFylUIYn z&CIOFMbek8XFxYlWSl8%p^D`NqfWK4`ZUk{1Wkt-i%ue2^`0i?s#wMR;O2@b7-jFT zaZ66EYrrWJ#~c|WT?h9!?t}phh{+V3Ley}_5`;kKsylB;4YGw?1f}LzR0RW}K3-4{ zbe?6FFH3Lf2X+x(4?dfR@dR%uDCVjNJMm9ZGi7h6n8B}NNv$HM88R6K#bQ8B_tL=I zs$^Y-7yhP7RilZcIU-oNC>iHsX^T}=U)qq~_EQ$BkDIP1>1?&M5sbCEm)qDO+C=-X z&0#?;Qyg@MgpQ>Nby#dzoOYE!#;XqrEbfp#B+}&St{a01^L!q`TNq(|g5EA+{R>+2 zfzD$lxW!VfGx%`W0bixGP~y@Z^m$1$fNscfAdK6Ew(^LTq;v+}7~+K=L_6LJTpbRS zxdk4epJ5LVx5F6NjVu)Pr^C#+1Yz}BjsW2@=^e`HEos(#<&1oex7$lb&Q?k`NiZ^n zGy&GzYJQ#pw+9e4gE!=_%J;Z#Y;{T2pKg|1##9&IW6-CdQg;u?|6PnJS+nA%*BF6fxpzSt;GvEgIeGfV*Y>!I!2?f>zY$k``Z~^&> zp-YiMw^8d#h&#rwlf)DlJ7GX7#O%C-T38x7ijb>AtG^90(@FYd@Ujw396yrO3h3g# zOzsafM&b^@6bk6IFpXQo;Sum)Qxv@R!w_^E{e>Ig8+)I0f;|a4nS}~lPEiB?50=tM*?*s$n(9K1vYB3uthV+97aO5Lg6r9MYY23s*uF(!D8Few{j|51V0OLjs( zRKdx@Gp5pt3QYRR1j$sbc9XXJuYZ#kzl`54D9tzjhev{H6utqICv2UfRtdx_eOoi8 zNQVfxX(C{of}w(Cr5Tpa%V^snAi<>;Y(MQViJYQSM1w5F9P3-&+U^iFP%T4Gb+SN0 z`<{BRQGKeyg1JVqdylCL)D&Y|=8j5(!C6NeoBex2m5#~rhGG&2^Deg^OSERaj7pw7sOq!AMcEilJ=AP_x}Zm zifeMO6mHXovTqR}!9UnqpLuvbw+|HuT6%@65eow7+!CJI%$eEPUEav)&+tT`^>>1}Lq$&KV00<^ppPtGs;F3F zp+v?aakKvVK{5;-4N)FoG%cCSMD)T#Bo`q^pF^ZCzyWU`!amGpeey@-v&35B2+kzX zPY8v&dxLql;9yT`f3Mr`40Ut`8#w*I4mEa%hB$-Wf~nmCkrvKCiN_s}dg6gVeUC5O z8ORFwv%IbxhriI{%LxX%_(KT125Z`I_&TEIx`SlRK_@PS0&{Pm4@%Dw<{gdhsd|NV zM7KI&+(}}kx6{^xFmT?WUp96?s ztNBysIZPiA8Cwwe_wQ=~uBsNhQM=h}Ago}Fhv+zFKSoALX4p~rM3{(QFI4ZT)!W#l zAm(K@Y*8%{rlX9(q>>yct_=7XbqBOu^*4Mhn25A?_=Y;Odw9}7vrZl1^48*I;Im=_ z%kfD^3gAF+1sfVE#rR|_mN8@*R`%1Xx`6ksma8!8A3)%IHv~yu6W#lE7-%*|wHJl7 z{Tu?F0?M{h^kk`Ubm~Wq@v@Sek?$sH(D$TS-`#w0>|v<%%qKGRtsH>0*OIS|#6c9pd zY(W+viQ6o`p*CNdEj4Bf-{#M< z`9ii}zRl~id3-is*yhDg^2RQ=&6jFRjo7>aTWb7SU*QlaL}O4x1r2p6 zql0SI5M64sxq5np`4h95!?qsB54v;cI5qY+pyV74Oe8QX^lsqRPPJqQ8GMqiqL*OI z5I}qMjQj+B(!Z6^m{f&4b26)w(zqaGMN&lJ8LiW40`ZKa5%B@o>0>oWmG=;4O6FwU z&=7`RoQ4B?Ug938yTM9_W&BN|51tTR8j!V3FiDNDCJ@G&e}Y6Y6t|opX01* zaee{I`DKKXr(}SABtq;$FJu+Agz1{pYlf!WvX}~~jDCC}@RgWq7#X+$rs7?EAub{B z71tEa)o^ZpLW5IVymbbgt3vKhR^tFSTEPLyYK>ioZDQXYVCjBCtWNCZ*wL3t@DY;C zPtr8iShANu9LI{1ywmD#L=(mUYt4M@!SX_1#kt$DSd$OYY1l@tsRO#IW;5LNROG#Yjk@jur|2nt)k%_-=xq2K@!dI< zhE|aG6zvBt<0l{AsQlodoL7YU;&S+uVF-&#=wVC@p>FghVXau7-bK45x}mqp_PS= zVH8`hY(jX?zv0Xbh98pHI>ZFtGfLhrx{^s&nh!rG-}35%ySV<|IWqiDC&>#kg~1Mn%_UN~9C!wXE`PwNx!?-d z1$!_Q+_5D?hJ;DhNDdnY=!Ag*y@%qZ)hz|2j6&+78BIOZSr+Qso(^_8Jonq(D~KoK zeWCT1&HN?^d`Ma}oyDZ5A`jgQjO5~tJq9g)9= z>FP-~km8PL5e>Nla~3j{qHK0Q)C^HY$jhr6d^T93w0>V7dV$0edsv`+7f1{UEphTA ze_ui9Cw}@N!MjF!?L_+xg%k+cPr;azN+8riCXzBgWj&q>v2yHB7Nkk(ruZOT^k zMzC%kB0+TIh1J;O(66J5sVhcWO69$*9w>gqCsMZ?=2?Ml36jrRo?*aeV41KAIGJ@& zle(pUm^ZYR1bzpWl`8IZ=`HHY9wvO5$VVbbj8ZpT#wKFv+yK=6ZRH7hERSSOL+)Y_m8aPVjCvI*^?{m0 zMj+%Su+pAFQRFhJ&HE*g1kOpi;6eTV-hV$6X^#LFh_Enb+FVRC+SLsFKcYy~h7H_U z?A^*EjaEYfCYiX1Bt}F&gQ&4@?@}ptguh0#dHfQv`qD&E5dI$Q+`}k|*P?mLTD~C` zD`*)&AbxOCaq6T(5PN&A)cE1#a z#5?^#Y?zNSU~ z6G^AQ#}gQ7VTwW9&V7VbL-rKI0h`2O+A9FFhdKm9ue>(zkq@Cz3 zj6o{OaO2Hz@EIvJmX66Ol29x6TQ72@H(FH1bd>~q)x|`5mZ5}t7eHSQQ1!RNh5;+w zIQdn`STngC=i1WqXn-QeM8bo>7)xVq=k)Uet@OtuSr0<`CclC{~qrHOz9*?Yto12c`oigBiehUfNOf5 zfvPwOX!2Vi^U=%dHfy((qteex`>?*OEuD?z0)ypa>TuU;ttTQA!-zt?yO*=F9)#bd zEX``paz{?1T`k}HWFUW@Kd1qthQ}i6rwO?U{x=1hS^Bc2H5T%1KQ}{8|w5GvG zSw~554qwLS!OwLOU&2?y2YLlx#ZPFf`5L~KuZIER2EK`J=G%aY+zo{Q|4x2_?}ZNP z0e*-d1{C=yKgLh->-?l%+m;2iYy4L}TDs0h>7V}s1(h|@TEGiyP=8%7ZIU)iJESer zHfg7{8_lLu+5u_5bO^dzhoz&^8SR*KLOLm(17H4>bVfQSU63wHm!z+xi`r%Bs&qxF z#RC4l^rLi1yC(fAU6;PnM#-b)DtW9tPM#o7lqbnkoT6v|sMqVYamTTno@&tYQQnTEPxt;GDn%GEKn9HOO)lxGG&FbQdzC6Qr0MIl^R8u z5N=X7D_fLp*z67|JCvQkLG4xcD+iRr@cTQV9951fCzVsm8I-XvC>NDW%2&!&<+1|P z6h&7P-zz^VKcmcj4Z*;5Wt>{2j#kI2Q`Cv-1a*=+O|4dEs{YOu2I*b>a{`Lq;6KXsM}C$+oA4O1pw=SdI-)eN7SS0G4-T+LOrFPQ7@?H z)Qf6u5}b8ey`o-KzmKXvsz0mO;L|cnyRMGbs&?ait+9Yj?POcMwwe1V; zy`rtr)@n7{dToQYN!zS#(Y9$jw4K5y=Pu~_`Ki9~E;bxGZT}ekZf_(x<^!$R{(=pN zp?1)nD9j4H-F~EahcJUhf8-cFfj+>$&xYQ~*#L^&W&k|5u^ntD+YO_${b&yy2G-#J z?*vKF&+H{}0O-yq%er{&-H4vomJRRnue0V~=ghy(m_N=JFi>nwocOod{GVpBn8n}!VG7@zz`svl zggT3~CE7A=xwb-EsjbphYhoVXoW)|F+OHkZ4r_bV&r@sE*r*w7ExeVvO?`8k(RPFtb zE$%;WaR1%*_FwOAb$grRUncE1X+n*?KI&~r>G?IkeRK0L9Bjfe1OH(v|KVQ6f7}A= zM)E&ze*e7nU6b_gO_{6pzio8?I+y>4`<(B;nXk&4mY+UKYu4YzuG|pTuNE>O|C?>^ zf4}Mdr)iS-f3WHOVZ!{|o+pbmX zX&Eh_^i(N7vC5S*jo56JqD-va`Mv()5Z0G>U=d5r#UU&Wz&xhbpozt0WjJH?O$Lh| ze4P1e@*ihSY2pool^pZOLa~s&EF5kT2)s_?@og*|t``WrLo&nR0?u2Qvg<$Ip?DQD z1yt`oiX&%vQk;x17)<5@lW9B|O|oF3m6fxa{2d6`{CLy%;0C$fe~vsyjAKaCPf=5T zDClk;4hBR1ll5QVbF3S^*?-4^2RuOy zm&qu2N>3nhQ6y9X?I@6~7QpF6_tU8AC)1=3 z`p{=syE3TvfUL)bRTV&2xD|+rAkvE#4pKJ!5sfL)%t_uNAofO~bG>Jdubq`{#dk~mZLQ%r66{~6u(FQ0_$iw1g1M6jZOXM-6 z!L2QoCJ-yTPkF}dM|XvJhS_jzs_;GEIQMhO6*c1YQ>m z@;e4pR!tO;3cM!q8h}$kZv6Wn@dm`>iF*(S)ag<1=gC{6g7c4?)!j*!|8VOtM4iMV z8pL(XWJ3QR&rgz1B4AqLS#JJK-bOr&cp5Y&jmhII-UJv>qRlFtuy4FT(H{{S0r;2r zFvN}cAI{=KPY&9;f1t9Eya8^B=hJ9{f>eoz#Jd!4Q9P=KKR18z*3c8jgMZ=$;aLgr1{iXf$q|e=96Tj? zYW&CflH|Na?;igIZ5n<%C`mAszfmi}31Qj2V0U1)YMM#YpcI4eN`t`+V_el>Fo-1r z_cW)4Km)*c-3?H{#?cbzacCGZ8D&YHOv2fJd%oh;`HReF$g|46LWi7clJ($=Y-HlMA~OK+Dvv3H6+<56?BI$QR%Mp} zP{#4fZOjf+w+t5bhnUO5>>iN9p#S2Lg4%u?#Iuw;JI^h?t~wl%!g?bOjU9GxQ#%L_ zd|-1&d|@%araD5=)fSg6tzLs?iD7_mP_Ovn_AXn4Mo%|;78D9w$Z1oQ zAIN*;noaNc5}TB}pT|%w{etWyeNumbM&dFuRyu?t)QrrF%5w-{QQg0)UcS$8i=H#LdK&$xFC`+|lp%JBoYO-4XW@w^0Qn_ zxrUa5J}NuQvz*ayy({%uQ&_gNDzD=bs_&S>ro@ihFH2ACmA{rh0V(mR@U!x;I}J6e zG@j@z==HUJ)~OGh%CgA;{gtWg4eyIQ7K`2GspmoI5j|G^=S48ydydrHS_8d&GO~}*sTQd`vM5{{!l^gJZjxVOjRTm zzg{5POeV9%VKkYP&Ss}MgIH{~=w^~H`)uCTEZ?Z9iZ`{oAZPCt@7|+-CXZB zon_faJGc5QsR6SU7>!o|?wM0lHJuG7_Oa&o4On^rL{?3?R!s(QPG^Pbdp*3e*C)Bh zJ^T}o@fQ!*y?la~f8@m)bl%IK^YQUMuIJ8R*-Et&rTWTgdcPTLhIv82WHg(MUloZ_ zp?^06p~zLco<5VMlWBT~nJmM*-hlAbCaVUA&8=EY2GwRWn>1Db^GsGx8RbvjU7tUb zEmAhO*g}HVkluP0>v7u(!djHwliS_tDtg5!PoPz)u@^n>+Hwj?7SID)E#IOxdg{EX zUbu26S}N(;8JWwKSbBQi9%U-G`mGMt;VJs7vQD}))V|A14hIH@$DvMh>c?iW)`n?$ z3eB~ZoB3OM+HBU2&1*DHe_%GtQnnOX!{HM}dNnSD_Z8h?P?dIme`^IBAXaGVGEtXZ zig|Vvsfzy5Y<9-~YUZQG%kyTD%H|^`f-TXY!3C-HfN-XCP2cqjTuy(^g^|}B)`lI- ztEUf`!vda*%B;Nhn~g1-y;z#{GIM<`JBsDg0e$=&R?k`M>iBSmKhZBdG*(dYob3yG zLD6^5VOi{>yu*6!9Oi!DOL_#vyOHx*R;z8KqO$FpMq}wzIX9!pUVe@Ew$m(s&ynwt z`&3`MFRhu43;$f?SxO!|O*&sCt^59!w^iOjoGb63yUi7mw3sD5_*>pbbhb8GouLd_ zNv`q^O4P4)hBna_8L&CZM-hDGT*fIk<&f%n!&95c=F7xb}nS@-m}G2$GY zXJE~5#Ssi*Y8$bilw-(nAlo_LUH+Z^>0A~G?((jnuDLepYwmV8v<}XW6=#6o{d}pn zp=-LX%wx^mt^M5_2hOw5PpnaKD6^y`d4ckd&|(FU-@U$Hj-o{se6 zEBeerQsRqVrV}jhGyh(F3&ebs7pcqRv$*tz^V#vjuMOCO?cf)s()kv*;d$bhccpRJ zL`-I7^NlkdUnJif_Gza~pXqrESWvz1b{^u{Un+Xn1?;=vcE*SEv}Qck5tzU4$R4>D zKThCJww7eRqxWBk9^5pdzqJra6t7ovWg&ZrSYM`SsSn_tEBR8wpQHNV#n?0t>0d5p zThhLu?Rt-Ag{vW>^*Qao9d$tm*{Pw>c1tYe?O}=PUoByQmXp)B0zkG+dT1)5s%vz(54%9w!OX`m6Y?E@ zK%K8lazn$kpXqrL=kRsbOo)z=TKExS#50{b2iFz3=?S}-QzDWpGCBmYEi6hqZdk>e#S<=Rd`t{DKL4xLq=x@L$FB0cS?(<}l-(Ia-qya#dy$yN`%OU;u-#Jj*JJ{- zxZGZ^7Yg_OCI07GgL-MvjI7G0zTg^O_CfB?UnRn_s9tS%Qr#s zsF5e~g#~(>)vVi}KF%xdbc~mEd;G(qiR2g`vV}}W-@fAuwDsTRW)4dYxn#Upv>aUF z1;*o+6VBpKwA0PU(ynjQ9#>dJm6RKUWXUtJUeTDglf_|*Hq97F%V_G@XuJ#@^&$QE zYIdhG@y1$K@fKT|GZwKqcgXWBZsTZ@^An%1hWF64uZviuIQD_ctl!eB8Slt1)5-de zZ?V$u>r>5Yv0pYzyZNh@?Yx~-Uvs(EMcyDeaj!o*gS6PLMN1y~!Jl=CXT<%%wDk1& z$Q?YtaGbP1zlz;{&AXZh`{Uqs&WJwab8k)6hpb_l?$OrKWF-ndq&%};sAv0<%eL?> zm-NMJSRe9P&2MYi&(vLOG%2d|I(;`NwZn&a7$_JM(|=sYA}}%c*02)O!A4)uhX(y+ zJb8G2JH1;CAPei-y~6(7Yd*P*e(%9{`s5l`$j8zz+Uf7r;E{FR_YS)~T$M+H4LUTR zt=@GV`Vr5QFXb)|FCy`ydBn370Z;8aEKsxX9cCgmudj!!QRJLQeE15%tMP})_iU{8 z8#6q#gQsV`O}^pN^j;fSPXywx$=DBEat0ZrzRshc5PQKbn^+=kcv0lIVX?Y7H3up; zuR@DLe{TaSaGCn$4Xjn-1=1**S??ND`RcoqUuo&NtsW}PjH#}1WIl;yWCz-0e@r8t zi<-3W+_hvAZJAlk7ZS&IntFncV~BC?pK9*%hEkXwUk%{$SvhN$=?UwWI6Ug2@{jdA zA1Ea&%ujFQWrd%pmgCl-wj7eaE0i^=&uB{RRinw;E6PqwVT)}w&unDlsQ0t_>&Pn0 zUVf5i75VnliHh6o*+?GJ1Djcze-_!LhMRmq0%1A)F0=Rpa_U7>B;uc@ci+rzQ7)PG zhMJ|$)|YN(kC27B|9#eq{9W(&J}c}!-6{^D$72fbHL}l*1+OWEMQy&e?vryalf3TV zlddK0|Mb|P>{vne8ZvyN^evke-lr_$yCI}*v=alDxW#JsUSXplC$x!fF0SEzf9$lP z?|q*&cRZWlEbB+obt`e@yNWY@py9vjfk%|3`umS4Er@yDFvU-ZM^AlJdBVBMG@d={ zEUGt;_a$ipqFIP2KsMRN@=l!4uKVbEH%#rdk8??MFcHMNE6`v2^k>_5PdS4@DG|1^} zyL?&g9C(ABwPs|-LZNt?X$CDQiWOFoFQwwg7g%!Y<&T$nHXhYtv)cJ-Xvq}3q`&+D z%S(*2mu&`V?~y;h$Fg;02mOvV9|JhTCDJ52eRxJjL1bO-gA!kcrP*u-aTce8#K{BV zdFH$Z@-k^>>V1cfBPFCwZRiZtu!^u|CRhki|$T~*Yo5XGcp}-((;_M6-&*3 zeymaMc+x2M>HO8{%?cy;Hfl7YQKR|k&6+)xf1fqa`XqiAq+5%ug(r+`7SWqyk(Afx zP6-wr((l>Havbw3i$6BHNxC8Yv*87k(Kz0q&)LbcJZo~L&^%@g)PoQPQ_C;0EK6?5 zMt$#27OpqF9tQJDQuI0WBI)j| zdPjBpF6_RGjHR30TrOZ;p_Wfvz{ljZBu!V_510LH%JS`ytH`N{ucFfqQ~g~=R#LVV zLqG3;)s;Vq7QtbE!E>yW3M{L@EK&g>d&>z$K5iVyZsI*V$LO>E8%d{ zrk^@D8-wBbpjGocI}df}lG7qDn4O!Im9>-Hy2N_X79O~V+?6>d{ob?Yysc!OS)FD+ zXE61iHp9tJ*S=6lU0cYuWXPZ;CncJp7t0 z4O^jDv|tbOsJqmaE5VhE}d)6ex1LP8qOI5$f>tQc~-tJ*fXoRI5&L@ zAHEQ!@Jbz8h3z++#+t4Lik2#|tmCoZc*|0LfKaJ7_~FFcc&6UqAi5Gi>%9-M#_<<` z=X{TU?|Ub8wsU?&@n~w_@TZpJYRB=U`7i8*5^M6g{@Ov-fLzee;BLlo>9c8BZdqD0 zwoo@5Vx?rc-s}*ImaODr>Gl1-T6Jx;HhGPo8-GP1vCRkiq(d;P+JgcB(N`T} z-ew<6dqMK+3t>;0{Y^RxU|(;H`bq${CoIb1=p`qwD@a}kF;#H` z{oRjPtL&c@8)$?q0Wof^q4%O98bRV4PR)VX>4Bb>iRn;L>(+nYp< z-Aw=NHnD8;RC6BdaE$YpQ0>QmT#{<1Lk4#|$;A{-Ui!-mP;5067_ZixJIqRmdJ++Z z>sDu~?mB`7OfS@PSwT(jBP>W!g&KC04Z-em?kJm?c*A5zcw}S-Vj!0M-|JF6{IcN% z5MR1xUbFQ?h1|r1610TKScR~L5JEw71q~sZ`}?_NwElQ)OtLRm0&i58#VWdUb!TDy zU^0iTCR2&&TNRcbz zg$%X#47tWCR>o2tm1*A8F(lygcHW|QJ;r)^R(V|{(z5Hj_;dTc{YUiv9Hxccj_d1= zvD>BRiQ+cumg6ivJTY(BD0^RB`Do`&auVd z*CvyUpq7)}%M}jih6{q3Z+F;D&hkI!`kZ<9<@J&K6+Kf@FqRB%-)9?&%KF0NtiU|Y za8~_>HcFpLwuh(c2ajX-U#owO2MtW2e;INCK*dnzo~(V!LGmq~Ltiw`BR!k$*0WBq z`{eq`azo8TfCNckxzX@pBnv!W#1Z&_N^bmJLVNzAKXj568LOmZOxlXvdRSH9rf=#6emi$-&s7oI1D8SUa-^3F)LK`r z(8qnwN?nuuvCg51u+`|C`#j2$MbXmqB7NWI2>x<(%PGh$Wa=|cv2@c#(^88k_lb4B zwRDBP>lBNpe`KDR{~YmtMj9Sw^}75J>t*B?zVMqbsM zo@UvuPa!dvmeH`y3fUV_g8A+p)~BxN!%ws0mX{ID4sD&fOxtK^mUmR|eunimykfP@ zA*D*Aea@+$p60@l3*tP~{opSa#H8^)fCbJxdNAo~p&kG}2ZSJTJ0srR0NGiR<@9dd@tqANsoB6mv(BK^T>Db3P>d;+Z+m?Fn@AIdesuF&oB?aKo=8O&K4q+hTvj?>)&?{iI$! z!$pMeTyN12Mb&$jtMs4YPEp$GXKokb^?suJtZzv$_w?Rt;|I9%epEv<#a`;hvs?@H z%3R*A+Rt%GqSQ7#hj9rZMeXMC-PQHy(KR-zU!Ujldo0z@CXfCs?k0OYZ-bq6jFbpm zB$148#t^PDC*6@#aGPXg7Kg)`!Hn*ud9i{}nfq7zwc#W$;Jx?X8qgY%+ifjx((Mr8 zkj6}$L_qM$HRhg}uQtEH#T|p>0W<9kjn)^8ycj?asQXlhCl{%ME^wXsg*Ii1L;dms z7peKm_m*)V*@aBLk#_s}%SwMRr-B`53LPtDR5a=~i#%|D=?NBksCnD!R==3aGTJ`A z7}C-_A>{Ko&8AV@T+SPCd*&*pC#1cILcw{Sx@pwr*nA^gP5%P3?sqbmU2b^j%pO~1iIt12taF(7is(|8q0+-CAEv0v3ENVj6)7KfReXbjR2K2ijr4GDaGO zf_dfU{ba1Nf_}m7Uqd4E#W(mmBS@!sVRd*Wb$5KIUZTYh{5C2-_ybwZMu&!1X2dMA zw3ChJo>`|(_=)RLb6K#2jWdLSyze~8&3$&amGR#(BCes@0AdI~H_*hIKioiQrS+n) zAL0EZGm+c(hQajw*wmaHwP;P`1y~OvXftN7aFCz@mgm1xQgp~_G`_f(H!^b8V*Exw zkBHrJ>i6;Ir02gu>e(wyhru$acK?}s@BW*DrIhbxQly1EA4ab4EqKLg{C-4MP2m6b zPu?$Piehh3d_vN-lyuGhxAMHae;?#E1x#k9cDUMwB$+vsytH4 zbgff6T;_5zcaXEn1Tx0(SoJjWIyuChCSMAFfL90c^YCYg>^&`R-v=2~9es~lVKTvyJ;RFz+azC|FqaKxmt+?Kv}Pvba3!!>k;)YqV55 zryi|TD1i38XGCJc^?@-NR-zr4;3Ozf~2KBmhZuS}QIAGJWw&5Y*1x>)Ay2J^kI zy$MY?F1$@h%?9=P8(a%%h6y|%Yz|R(-QeyuT(TH-p>7+|E!PNF)c9{)*s{ygq+vlx z^R2pb2pViY2vTyV-?&khkFxm?Ka%jv>3DEc3?`@46Tfk`++Ex!d?GQJlo(!VW%yk= z5F0|i#M^FnRE_6pN7)Ymyr?N_qJbkb3r4yKvd?5J+fRO zr`sRS4Cj`VR23v<3tP#OjO@rQIz3~FJGWok*<2swwSVO^{#NLFuICqQC>7ANSkX|j zKyg|lB7=6CeE4hnF40Pxmvj*$swhLE1GYz54g1eFLwY;*!V1TIm zOqR9C^g0RjE3p-Uh;BRyXNHQhXp4D-uA{I4k0NER>e|XXTn8H6p0bCT;&)}C3~zavrdzy<_A_jPgSC`nc&NvPA6INy@ z>_Dsvsq@Gjf&pWivX#eXAW-L${Rr-xrqiY!tH_@N*efCtK?U7~KJ!gX)!LJsM-HWF zuh%0y8*Ux5($IB6!Q0yo|h^TCuvECYLvDIRUZ)J4Un9A}h$o)Fw+v zNnc40-`&loGp{1sQ_H4s;efXZU>M_xc1Xf%vj?23Ysl184TUbf-nfR$O|3NT)af0v z*v0x{Kc~6zTCyfp?Cif9G5I0KPD0j^O{t==2H6Fz|U23v};>HB1kTf4PzLPE_Q4qzwrnj zN2d^YS8oJK!UXDOlX!NUs+&X>s`-EnQnVvYz-(_PJJXn0W}S$3jUqWaS(UScKyJZG z!n~8LO*KF{E3}I&O&t`I1b#Oeo?3>zbZ&t0RV^`$+#Lx%B126m&;+0!gnxwa?*W5J zigSwUVC8MQC5-3PhQxD(J!DL(3I}pq?IojA=Sv$)Dn0wiq`xF8?#~D^k{>@mduF z{&9XJy~ZS_rw7n0wGA;zI!M-~7Of`nbFx)o7~@bE#=7UUhr&$yZ$;e>K2+}e0@5%m zZJmYEbaT4@5c$%^n!#j5%%#b+q6l%zpJjcicGj^Foln%~b*!qz!K^Pi48W+bMEBxY z@^Kk8nmZ&vH6D-}7@fJpi_5d%x=M4d?pl5hC$YG)bPdbBz~H+7u4as>0L zPnm$)6~zwfY!mxf?Q3S8iCFudnKdEQ{GtjY+vXev-W~B6sj?f2E&cTa#NZCRnljf9 z+ykF*u>x%soSh9S2#{q$t+X-#mb&b-z!>QycYge8y%gzE37>* znD03Nnh$e{jpWTWK#lKBcxA zwXKa6SQg{`;jz4;;7s-k`&b)}6vb$eYjdqr2`<~PW zm{_eH<&k8PA2?06svYdC4mqlhv$Im~4}qr-gIB<_Kur8Z>Nd&jSCaXGF2lKk|IMr( zv9q}Q^N42Td*Ve&d(=J^=@3qH>g^+8iva%lD=$f^W969r(xkWv+Cu>&Y(r zB>$`bj=*XZDDR!+{)5DuG|5+4>0qwmFl7jd<{nA8ZKg5gMUdz6m(0IP!D1M0TNW=e zyeFUGO}dBj5=c@~8bm&r3SRCArUtJDmoP z*VDlB348Dff6(WvN_4gjD%xe-1GCgf-e)<&ocWP}-{Z;k1&+&$$qyv?)RT=-Cq&&@ zCI;;mZ#droMfW^et8kf3{Pco)(#g{DFOqi^c1~-gg451-K1r_Wp_lw1{H%ZNCt)So zOsrj+HS$*VsP+|(HDq;)sZkdzlWy=Ac(JPJl6s$uh1-5iPFJ3ntFpzGa}ZDdy*z^D zEs(~*x314%{4%fc~0UfMn|g041x#8%N|^aL?q=I78v@^j^hpU8VD>w+_l#DvVk zH_1)1Ju*i8kZvNQ5ylcW`kZ0Chlc3VJg!;g0XmpoRc3Nii>|{R)at1o*Gc7rgGsw9 zWj~Xjc-BtrE$4!SBGDKFSsQh~n>|y#l8{~+?66G}u_>(NBFE>}kRJskJ97skiu-9J z=Xim21TdG&i;bfC{bV{k8eDID!uY&p6wAbzsF$S6Y9|kCRfW8xcL>KllJ`C$PTWGm zHU{)9-xF@Sfvd~)=eR56I*{KTNOgapp^Q8LZx-syUuAks5k}T-@i03f_tzfuvX=EKv-3sBoa)8 zfPo7-DI^KN*6IP96r==(BcN&HcmL`Cr`^EaAn0@PSI4Ha>twws>O0GV_zji23F0~= zg}PhT94>@|;8eJ~c3j*;jk5^=R837&$a2!j_#K>xH_2pTF0eZv5OuPsdqUD@2~tBr ztd#V<(sj$p8TQOI0(|W+DhV(Z?DG)Z)oB5CsNNeQXxu0T;n8jJ&wGULpYUeB7YuRr z+XT`zCVhb1xo;&c*6LSsgL4qMa4d1|maeKV2U&f2G^So8aRI;|lY5XosGKvtq38Q# zuxe(%rUpVR$Q?IbSL=nC3*e!yA!Igc*cV6O=dK$cI>3Kc(om?aYnu=Q^XD#icSHn3 zY8_E3YOg4qXFJsPUx|rYLk!bW%`v81K-g8dt^oT-&U8WuxVg4)vbC#WcPiLJJByZv z7{A&Ns5Aat(p&(Zf2^f8;|u8?5XghA_(*TS91U`=|F#>PUld95IIad<%e#QyUO@- zu(tTq9()VoSZnBb?xgsjvWagK>7YKEU`4*+_FeW3h=89ZvI)#!&EPP#S)68Fry$^q z?<82%FsS(=a)Aw^GkG=y(tCnsSvQ8Hv&6fA^Z9ah$kIHRzN0!akgfE=VQRAsmd~$~ zxB2#~FJQ4|jCHkp?p*}4{crn`hWWUQd;fm`%wtdO2i;Tu_fi+c0c0hp&0cA<^?Rsg z?-yJ4o*Qf1_Xw>C|3v%Ek3%tsdJSzn_EPfMtfxnktf$|O<-T;7R9qkxGt=u1mo~X1 z$!l)c`=!BTu6i_s#SKH~t(5ynM~Bi{)szVe%VG3AwJMWUxrWo75UyY_zd|(;S?|ge z1K_3JuTIEhjmbr|$1!p7)Z+lwSk(r{#jdJ3o9!W9_5M@*i#2CyV1}!0ac1#k%SqzR zjO9o|Cu>oYPMC2@pY6DV&cFL~c5ndv-@Q-y?mk@cloB3KR|| zGiZa=S<77VyJ^(xxj>Is3?_b46K$50n(b0YBw2Ra>!}Ec&i7l4%_fnm(?XBXDE0j$ zd#2@8<0$=TdJ|UPKBOOR*N#ZDKmFq9SU#4?Dhke<`n(4Lwd)M7^>R9fo(X9hhho49 zH03-q?`z9XB0Z@-o5PC8ICW_bi_|RUPg^gV)*7Z*ma&2K5Q|mJRd(`q#*xAL?}#`~ z7yXt#mUTp4NV2osK3_0cRvpbsKVp;jkvYCToB2)pZ)nCP(c{fbB!L8z{7Th;c<4)I zIMu}q>MkUa%GjgPHp!JVoFPh)4`}j%{2`Zlmc5xZ%ZYI*(V5SM9y@D# ziykJ6$qcdr3|br2l3eygGwU-84u>=BpC?fX35Zw4qBJUWlgi{IU1i*MlmI+fX? z@He?-^F@@0vEW6%bf?%n5kCSF!aBu6N!_z-K~xn(p}>!2?YWXY9Jm^zf!zG8c$*Gm z)pNN}qsBo6=88K7qXS7CypR|pcF^*-segiLvD~q-ua#jC^<72u!As|9?m&8heSx|D zJT7w~w}fx}9VuK(e?*7GfgJ8Onz; z(BknciW9Y|HD?w0rgb@=NiLHv>tn_4@MLGqp>9heZ5N=Bn|Xc?<;2J zuGh>maLz_aGFudb^zsD6sjedT84?CVuzT>jIiLiv;h8a{w=P>}O!i3LFb7jb!}0L@ z=(F^u?4H@bnOmBl8%G`yb3}8XSKy|(m06u#%)H9)zA~GzNl2e;YJOSWUd(bsNMy_x zcJVjwRJPM|!08j0rRdxfei!_y0_`0l4h8qufY>(-Zbc87+-(KmeYcx@);6KCU*uvE@$pk(QSog8=TfxOITib2wCA-z(;{fA|EM< zSP=LTm*kOhZ;0t}cVJWHI<;;oE3>^Wj-Y#K(`q*bl&_=G0k?QueYupC)9FNATguvW znJvDHg>m;3|XuUa?4> z73%Y4EHCh>t@7W~C7-<~4w)wIXP>Z5=rMuBCWLCl6E46azF z-s8=)DK?$xvWYecAN(}eeM)>i6NZJPSw>s3wJ4F%HQus#FxNY~n`wr!fX2U5e<@=z zXmYM{mQ+6Eg2-}y|7uvuO4U~7Y;)jh&UEe!m4!Q?U*l&Pc&AR&QnGS8ApVLTSM3$7 zQ_(bfGAO*l%op__-vV@ApQbqKNb+CT5lkNRYJi`byfv)`})5_ z9`0H{<2Sml=p(*j2p{s9Qcw2!^3NicMcdlM9ji)n)k3Nk_Y{uTCx1H8UNn#WQ6hjkV`uU1#G96FJy zFIKV^?cV*rg{(CCjrng=U(OW6XY?}ZKAJ^#((L?rLABrS|5umYh9$l%U1za5!aVw9 zCTFYXDp{3rN#?KKe~qPeD_fK|KbocH)?t3%@vNKP)=hCgrs{|A?Qgl*xSciH=E*(5 zw^Do6VK#mrS)~-K%^qR7wF~O7a>D%%_4G&;9?mJPH;hUO&Qx!B{^_2dnXXC)nC~5Q z8TED*%k6N24J~>>(7`#yE8w(-%y^zhd@2M=kmFNPi)%(eE(7%}T>r@M2UblGWQ&jj zu`Purl7V595P1u+7SJMAo2<*CM1KI`+}f}YdAMCYHoj)M7qMLiC17`ewpxpqM$KAS zwWJdSgu@BY4xk1}kg#?5Ai|Jp!T`2IMxY2&mIS>NwfVAbKG*+G6^Xy<*dd1I0=i(f z=&ai{)Yn?EQ&5*_5(;?(mHB<@xq571%|xQzHw0b4!y**leT@Z8X>ZJ=7Q8MyI zvj>;MCmcK!ZKzcR_cU;o26(5Wtt{aF+HT{G1}CH#;REtlk(nz8U`-3ZRS?IIe4mif zdD@*fd5x_QDpJ3!EITjDP``fBLm4KkUCcAEPt>9HaY>Vj4x!fI^G5V;hK{Fl*S^8M zF>oRW6r_4ULdQLNLyTvJ{0?5w_(ramC)pOPQ z4VWYOCcTn!lA;(Q8)GK+1-WgQ!Jaq>L+a}4Xf&fp=^DLeE>_gA`tJrTyX0FmZ4E#3 z@(T~$qP9b(o6;es{HTrnY7$edHrV$X3<~Z>$w+uSSBa!*O^12Z4;nCA;3K}>V7i2u zHyY%eh&~u`I2>+Ywm;kcA)7~kR)0bDhy((;ff{JY23gN$?^Vzk5#5d8GR@P^*UoLo zzz;c}-cavv%ov*f2|HYsnJKZSi&y5CsoP0zam3nAm+chSsNTr#`lSHAc%caA*$ zVf147+(Omege5$0TjuMMS!Jc~a8Hf5 zR?W2*R*WQpK+OhPI&ld?RDoy5vauCyy0&2fSzcWluc`@LB z5D`UcYoQr;l{CH0ddRwq`oqs%k%}LoA+{^gw&7Oc2~(QS;026OnI#$LNyf>z`RA6Y z1x=X~sSkeTpRw>sjLbZU8}jxLX$8H`TM!n(0lBOjA{s}E#vOjAbGs#}0ufLY3!I04 zz!55SdYvA7)a7zHGaQabXK;(f=I_&=Xp`yOKI;uhoz#?Nluj`pqIvR zin&~uT(R^9uF!n4UO9qD!saXCb@c3FeXAM!o^SE5t&>1KV{_LM$0o4%ngZ^5dqZzk)FCs55sXcHOtw)t(M{@Q|d z4Npyv4ka)6s~bw&kxH)bbnu|{{gL*a5r5$dVuG-)cBp19@1}Hwk8}~`epEb*!S82I zl)F=LJQd|rYQJjcqa%qryqe`WXX;-?biQjmj61ON&g9Cd8ayP+DfUO}( zI&E-T0LmRl+QAvFlS=b2;qm;#nD|Icz1@K=HZRr=H941{v6xrqIW4sd?}71-OjXZz zWXYPT%4{+uaL1n)iG>4`OgFrdSp7NVsqdAc>@6}BeuzQjxm@qiRCtsvy>PN_7+XLN zGuzK3>l;!sm_Nzpa4YqR6P7^h5+jVh;fL#h*fOwEAo1s}a~WSE`Qs=$gPsqa(Or|j zG#-}f9+D^8O1Rz`o9JhTy`6;BZsjVU`6F9RM=4xhIOJYKhbV3v(E$W4z7SXk;|-5l zAR{9yE16tG279wJb2GZMuG^(Bza|{9g+l4~b=W}qtqX>o75!Z9Mh)l{bwej;%2T-X zqw05^SURW-q|PiK2+Ok0ET`tEFrWQ}sQixT*3$zvWr6&r)NVS9CW{MwqmcAxn{FQe z6D^y-2a>IQ-b9{TaA&zPs$M#c+@i5dy7y_ZuT4d}#*g(XZaA2F!Ta;O=?n70Xg<^l zfuuQ0$rBU!gXFO{FiI>&N(g`yIKEOYH=1;!pl<8TM$}ZI;oVT)jh448tjfFs0}*h< zF%P5TB023~(O`_k-=Xll@iwcb9Hw2TfmO!6>=3s<-r$R7-;hE>hxT@F z)w^UKzqe?+WdGU|3kDkNw-Qg%^peWQ>YT2u zmEnd75b~JQoh#NAJJeq8ipFTo*X%FZyqQVB(WBEyg4&=vt0-J81gYDNfyEDyID|BQ zE%5|P8quZbMD}_<=9)o0tH~B~is9)S{Z~LYzto+D_&Zk7x?Y{xoduMWVrFb08O$fn z2%FR$-B~QM6`s{;{B74Mem?hE+C+BWC{|LGS-xJliey7$g?o<(>d)O-Q#6~>ds%zq zRe_wOiI2!R*sa73>WF(;cKl=GMha+%u7egljKmt6bb-8u$m>^4>b+-LD2(T}$Xjc_ zxR-rM#L+b7kbIIl^FG#vG*YkJ$6gTIq)e_AwSDhr5AZchVQyz0YLc>$F)5Q;A?@gS z2O13$s8ADUG$Nyl-t;t##-kDD4Cxo6B3Gr!vXoD90gZl#dXTf-Ci66E1!)nlQTF7* zs>-+w22d3Q4192ab_n%?r-`R8!Kh062}mecgVE0e%4Ikf!5U_V*d|FxkqSB=j)^ob zP~;`00eqSoOs2`H1}$SBy(r@noy;Ie%wShMLUU0tHjMd1F&}U9u9eXVY1uColu22x z65Tzz`v1pmHCe9AoUlLJigd0bD31hD2fQ&Dnj1TzAta(Hmwa*`Go*o5|6Qf1oqyXAW11k`HKrOLHBM1D5+-%g^=4G89%TEvU|mviqHF})gO zt1;6UH8eG)!VU~Zv(1*!0uWM5aV`EpZ?xmNnamDH+!O zv7UUOT#kR1R{Fiib-Z{{+S?@Og)Z0GDSMFb=?fLt_jg=13vT*sOd3}4mjqQbfNmXu&cgK-$JKH>W;gsW8>bM%68TLa!2CTA7!Fg zzrHJcmJTOH!JpUy=@xmWI>)?^)N+V#b9S0TrjUj&=H&%4evrrLT>0ifv^~l5zgio5 z5IzsGS*>`8^#D43%0p~d`q1nw)>1|kiN^FKL!}e+M$vlrUxm(DJ;mRBb++33VKime z2=)1gSp!6P);`P%x{mVLp5%jG`%fg8`vzITMTSaiNV38gcK>4KefyvB@;*^A8~%5}z0si_6Fn^BMcVU~H3`c!ag*Hq+DU zOOLQ{!;xw0sC5Sau@DM*JBvw=%{x*G>VpAKMrS^vCwwFY$X2${VKxnlCuAa8bd(KK zgl5Y|oYhG6D0JkSb^3+6-H;|XD98AzqmC83@*J(mtAMEFx*r7>7%R>OvyChFgg^~(wDU( zEoyuBWp%ikLp+xh%aClOf^)$$I0tU2AK`6!0knlWNJvvbXkG>y8G|e%-q8;F6iLcu z2Ct0krx z3qy8i!r;?ey=i|94K}+0v@&{7TxlbN4P%WqGAIVwakNDvTdZN;Ex}eI^qD{+dm-{a z{yRvqchZ<^j&3Ad$+-<-b=%`C(&@1AtbCdWRoxS<|J^N1e8QFEbQct)-z@xqPDo*C zw$s@PvTyI8s$wB_@zZ~d+A6&}f{%%NU#n`@TqVDFQypE^_h;qqNVSCUWry35cZXXe zO=Pe06~T6^#YhjeM}JmXXFX>LjHW-3l8qdB&^Cjtljf1n&Cm|hU%MbSxy`-J+B7~# z;vbPuY2%QbH9f8NUVeyBSQ_Nc=>>$1Cny$W zS3nSpKuM8XClZgv@&JM_uDNBIEzMSqPq0p&7vF@*{~&BcD$_kV(mq$_iofFDx9p^s z)Q6v7t;sI+ohMj3`9o*-4{0b`T=g+ibpu$H@RPEXeOgf4bO3Xc_Yic)*etS{Q(tJcw=_|eOb`HcqTI~IW^Tp*Ar0Egr3xqGz zCm&D$%9!g&<_;pd{RlxUo2E{DhS`)lVBym9K9@x=Z&z15!#YF&66N4`hYd@^bAxFRHG zVyZ{lS&fkJPs#Dl%dD-6FOS;h6?Uy=509J|F8V5t^dTc8M@@oT@SzixBD7qIK*L1h zJVoiK2s*y8AUa%-k=&rP6VtQ-%84jX5kx>1#zi!FN{gyu49QV|lSUpWj7~^&nUbd< zg&7eD+8AsWIto{T2>nG=e}j>Xhlpd)GYiBtq|BD*b#;>xd^hFUbYQbdcBd@XwdA69@SYHiil5kL6 z`YLNH3}C3rP)YyWrLRhdPe-{U~)uY1U9EmpcSD&fTWE4d0NeQ;HVz81LJ_J zkyEDy0s~-b)QjD;FG$=FpwUPml51vbtZLQ&wZsF~bGHnJU2T(gHQ=U%6;_kJ@j`19;wzWi$u8?_VO zy(sODQ_D3#Bx8XKiTWG_UE?y*CD5fT$e<2cT)Ryeqi|LMhFI;J`Ai67h8(TaloA-v z!Ly{<)V248b7^PRP%0=)5khLs9><|8qZEi1ENG?~FuaNqI+{=i1?aA+-DT{eJx*Mj z_M^R4NC&CMg&I&fPsb8};d|y-y2Ih}+ts3htZrzhG?OHDF~?jIe4n{Ck&Vo=SsDxY z<$AJ~`HouE;R9KRv~5UcboZ#NR{A#33ixB{iGi$z@Z{ajkTHlgqcy|Du<<#A?t6(m zW%E(pUP*B&W%e8d9pO^-z!YdsgDQvK0x$uVfwF`YgFBI0^vL^v*$osU4*a#&Nd}!R zCx`(`;dA|n?hvw(@DPFp2M7%My#x(RK?W{`({!Z#H*p^A01JZR6(MH=(TDC9m{}>> zDn>BasRSg*@xZ~t_*2N+4Ho@0z0WAx>ok^-#0ee`5;USIYSw*-t?<8SM4}qbhTy>> zi>GE}s?outqD8M0nZRd|Lc!p*!&7lLQX!S?6R!cUB-QxQ+2Bb*DJsKG_}py)0MPtd zh8?u}wPUmw3o=;E0h4MgxEOGfVtm91iE$T~#A@Jv0EZ~vGe*hOdq?SicEZ+wte|QB zeK_jEPpT#$v~gG3g`iVnX3`e5d*pb0@z@6*A+3H! z?-gA8KTe59^`A510sUi5drbdW)oS?1swCnXys{-T)yWVL%b{Q33!u6h2Rb-9Olp`x z&&3l;{iYOstl^PpS}^!%wbN;RGxa_JQA@4jtzZVze(+ATE5{R;8JdN*8Gaq@ooNT4 zCNcGkj)}Q4rC4jD5og9b#2=RQ7)bG}J~4#llpeN9J4C*2+BCsY*~01cHgUc$y5l)k zk2&lv)mI9z6ORFsNP%r&v$6i>^RLEZgTR zvO;*aE+Gp9S9uGhy=mlJB{q!sJ=T!hQdUQ^5I%jkny-ek8Eh7+QJ)&d+-#oJs#ix3 zV_{BPST>Ah*ni;)yL1RuCfkRy?@&YI#%%_nL#Ut4Vc}Y7IEcqMh|$w@tPmCCdsSs5)YJ}Y`bahm@doPhkt|xX63`2!C&WNku%ro6y)Gao<2`2c z&mzlDZv#)w^B>YnMr1AqBZ}s@`G{UIBJOw(y{i2SWDhe3Y)-zwep{Sx3%R|n5byE8 z=jHOXbuIFGws69P@bj~M8(C?_C=w{srHhJ`5i@&-kSMdWM?`-qCiroW?q=ZT|dzBlPpqTg4&)k|8XP4@~7;jK?&RaYZL3HED z8RWSts=7|R`{TFi< z89iu)dp7Apfyri(x}+VTClM6`ba-xr*gb-OJV8>qi&jA43~^yu$^&K!dEL?WpVO%V zt7q2d6=)DT?c@!KZHwF8*XfWN8N)Kj zmujmqER3vo>Jwv_vt~szlJOOt=+RDH?2-aeV1Ig`YaFKQ!1DpE{Z#@22hv+}0E2{m zneQrh)wUk7es7SEVZ`=yeslz>8N@H7bGbM8Xj#L`mj3#ci)m}0KTy^^&C$mdO!xRQ zN0Z2QKaXLLxJHwl`t{ZX{oj#?-bJ$K^s@Z5nuU0> z+IK9g?EMQ6KmD5tpVP*ZiH#vz#GT&84kv9BM_x2N5{X<_ZY2|cVspOoOsB8&aW5>` zLiTJ^lzu^vMpluvfqhG4Zc$QnWL>lOE_&zsnwRTLpDqOm{;SPa}F?vwzHHgOUbvlc0 zDGLl0U^e7$icY6ym1(4Xg=e_m7S$)mGh3fzhC98;TiK%QUf(v>#P7>UM7Ggj`gj<2 zH?t!Sye%O?8Z7r5r=u0_hCbJzcLn^+8wmK_?#rZkLD-bnG?;g%a6i&&4pnTL$gcD{ zLB~R-Dbeih=9B7?@vNw9r>S}ghns#onx8eC4`hToJe=(1k2ftp$c?s?l*Q&5>NQ(Ty&)+- z?{b;?+Uv~c+T$rq59b#>-0;2|eB|YrQyIz+;pdrWs;gdS5fB3&c%9wf^<6yQuX&;C zm$dUI^bM}=5Z7Uv7k}VmZZJD&K!ZUunS%(8^>_KV0{*Kc8uCT$l0%xW+iFr=a+cGQ zD=WM#mSxT6O<4!1_n!CyPJMg=Ys|ly3}=3)uAab>IXChmbB&vUfbOx|63jRb?#@WT zR>AA>`Fu^lf$8-Y7JAQHKLsQ@dJ3Q!n9-esO^3NHj;e{udcK566$-R&!9G zh>C1@o`6qXDdf3VAnovtd9ghtM3<(bxpSD%P3D=1jap7aP5vnUk1_^Z`aOkEl(Z?$ z^bb3eTgo&-8?%}9lA@_bkfM0zhM7@J6C{%b82}KMBI;`#I&q{zFUm%UyO<@w=@bghc&w<+t zdL7;b^i^Jl!I!6>B3U_}9UeMpt&#IxleG9W2eUae-5ZMA5*Yr~z)a?TWHx5}IZ?eH z98w161nwK5x0D%~84g*fU(M!V`vQmn3-M|5aU}aY#Jar2D$3!x2_7NdbVXzKYE7j6 z+Wc&$aX3}R6Wb+LvWn~{{#J+dExski+d!nuO42@c{3g%g3ktJ6tv%Pcclmhql={w0 zfW*$JkIZ7hhTqeb2x80xM9=sM-yHQ>Pt(l=VNh7o{eXx8ZBDdu89&mu|0+F0*Zx&{ zmj0pco`sx`=jf1tdS(^_k)~-E;t9pEOf}AC*K0=TwS+I5I2amCRO*0NRVwmY%VxU2 zOsM93$b~XAQ!U#wq7CrwX-}kqX(%u|pi2gT*w^Z#kINT@bm0X1iQExv!Y4wP+ymlj zl7G^jtH>af@;aTD$Zq3dO9k>TuJUg6c;@r-a&p!3IV`*8q*r_+cvP;}_XH_jXqZ7> zs1DT0n2*%F;XTANiXP=_8Z`=-%bS@Zn`!X0bS?WU(>$qJ?h+a;{MI&7S;?<3e#HLe z$!(i+PrZy$rcc=zZ(d$TcB@L^i1mi9&|`1rjsFjONS~J8K1;({4}2BDNm$4 z+1ssOPMeM7rk5->4ypZk4rGEqrM8`F+C0{TNNSyb303N(c^FA7YTdrVLp2+n^ZAuT z9ve`mTlLa*r(QbjOderthBL_^$%eETirxUjJ=acPgy=F|7N} z3k2|uaE;-Qurx5D8yZ3K_OUKyjwH>Oq{R|nYm^rG_+v(1lD1m(A6WE17^Odq{6Le$ zk23M&Olb0w?to1{Fu)&nVBUp8O@A|>J1X=0W$81S|3c;u%e;drvCKfhT0`U;cf}Na zM#f>`7~QT<_G$BxQfD55gVc=+n4xB*r@Uyn?SM3k5BkGikmaVkzFk*nH(copEt{ot}(9@q?S+K+sNa}@8cgt+CJesU|vK!mn_lH zpOW9bk>6-SySDlA^E@*hb(WFzpCs=Y^3rMRE|TkAV_Zsq<47m9d?71vPSszam-L+T zh_E+1eH^(+uVW?sL-pSaSxCP^u=-|XUhsy#QD-lN1$LcUyO71J=Lp<#VtSk%j|W51 zt=xf(hu0ZDW0UB=h8s_j`D`ccKM8_*>%7w1>{kn9-nNn}@Hv8I0&o9-3pi_>kE_PD z?8!mqeQMew7Iu%7_H(@^RpxtNw|>t%#u}Hh^z@rbqT@4a<3+4d=3vr-W%?`Q;f#`! zJZ~V~wUQqrOoEGqToa#@j|BUimy4g=8Fp<|r!4}$@uqrU5!8YWwdWQgl$U)@3^DcP zC9JY$m>|q0{3c%Ov0p%Iod#ebUBm3gfuuNg56l98yD#p>V>J1P$FA~!-n=E<>eIWu znjawLKJ*z3k^^|Ee9f4u^T9!I*L#?_;62B#k;xiEwn3;IZ8#>sX$|Pdkfy)V+oZDb zSP~5T&&ik6gG*SwiUCjeltC-}NYJbB*=6Uk!bXF3$3CSq`mKIO8C0Eaepuh6|AIH`=pgqA7j!qR%^ z0f>$0)?}@&$UaUwT=omyq)mv#(Bt)3ldrhy0o{8KByFywB|Gm`r!Hf4udiSgq_Fnf3f5aAUq@Ds-rPjOEhZd5?A=$f*Fe60conOyd2Is?rezm) z5*zQ9uhTIySC;&Rgvu6(F>j)o<%QccaD(2_vm(B!_Bv$_GcHK~nQ%WDtl>P2U^gBD zRj(NlI%qp6nlab_Lk_!!^igObw>1`?_D_^HtQQP~e&ebn{=eYT~}5TkI!bTU*9PRzpJ6uEZy}79RvXzc~}sA94(B;Ge4tSX!&y> zv|Y`5lAyYIHH*=mME!O(Yi!wLFd1E~(uyB1cXUilWsx`wsZkM(}S?On1s(fQ^c9}EK zc{s~^Ro+e~(_Zy64w3Y#i>A{AJXUL1#PVaaMn9)*2Nka~X0LpCobHYqdxurBuZR*= zd%nXmf&;lDsb-^b?E-WQ3kv01W>t+RnWtrO5LY|@9rhs1f&$`e|LpSzVQBkWu$yYK zDypWE!KB>%NG#bdugoYoU9QNhwzRa;J8k2Di z$m&Vdy--}t`-V|N{uk`ud)OjA-CVCIshd7nQe;DqG5C>@axQyMe3j7iF+#P@-8SYzD+5Gk+$82bKeW>VKgxBe>jQ( zX1rVG`7`S2d)6>LcdYQOFT;=2Ck6FG{A*|U`NaF^IeCKki|H)M9!g#hORhECYoqnj zcs>@4IUL@qksLUaQS~V9X6k=5D=?ZHBC;-<3Fyh+A?43rA@FjIa|0Ew)aGq&Gf&{I$)kvcm@GQCpqt431~wtL zVU&J0qSP`b!X6RXfHyZw%AKoUkaod^5+`uw?#|30vFs(%*Bv8;7 zG!TT_41-Pq_w0+W%uv7Hzyi)m97rdIk!&-lmsXHw+#S-5J|0(8VI!Mab=0^fmercw zuZ0Y+<+?35PUhZ&Cu9&I&%m$*Df1tEtj#|$ZRcO-ir3IFY2VWp{nb4iS>L!*i|Dn{959wy)kC~ztZDM7*GaRsD>-c9sQ=izx+PXlV zB5+1+&W!vAD<*;|<-{fyQ!i{{N*C!K1AzHKl4*vKaac434BO35<)&LwVREtiRBn-l z@e>GGf*Rxf=U2qz)3}uuW=)XB8$?oqHY%SWL~Pkb3klKRSKKp^FYG!gXMK+Gaeeze}8iZhPRCM29PMBnl5 zu0|}#U9{D^-?O>VA{#-vJz4xc50}wG+W!e}AX;mG7?Boy*M=*?o^1zX8+8s4dKEcvHItmBiBw zK$fd3x3Hk=kf-5t@g9F8u$;apk8i)o0Rd|1+l;vb-^dKqB zZ&%d$-O3Ycy{%x!=%#kx%Fgo3kX6X2Hh+&b4xWIDt+SY|JOEbT{D-S%XrvfjF1kQ{ z{XLf7bO}32v*N86k$J@3HY*F{7TL&DIimRj@lEaucYu|ZCTD;secsHuy`T2*{j`vG3smL3Fd&x=^Y34`g7gwr*eUZrgC-4 z1Ah8!@yz(+4Ri%xL`oV7^){)E-)DLCiuGQf_c3`f7mec5!qHo_FzL$%dDSQ2v6Na! zLW$dBTEzXR=feE+ZuesAbWnC<=%#r5>9^Ho@3Ua(h>RB5xm7ve=KV;*Gr5e|Wft5? z-qw9jvvanv17LC>h%v;J?~Xyl(>|} z`ljJ169Q7fn-c6`7jy3rZr}@V(bv5N-`u{ zy|A5mx$D_$Rpc3a)bwp8CwkJ-rD0?{HJH|^PwrqH#a}?uX#%ie=MGkCoDhC*P)2^;DvsNTNe_davZ%xrJT_P(38 z>6?&BLPBq$cMt>=q^O9ZC`zaSq_-S;?@AXVNUzeRgGz5o7f?V1zI%gzpXYm@@BOap z-DGxWW@l!no^s#6G8}`C3leJl>E@FmvlD+hTK}`1B2HvqMeTjG z0K(&S2M9v~*Cx5ieVtcYL+{Ia4BN2x`p!i8pTsJI>0(Iy3P!@fRA)?0cV2WdpY;Rw zJeKlPKhSvhR!hr-<*bgmt=Sw3t6L^s7VgP2NU{N4D2}mp+_4`K{p-~{dp~Vlx+!&k zYNV@16o|Cvl# z424@U6R}l(N9fTNQHi8m$thBQWNe!&WF_rZ>kO;`s}~JCI+R=>MH6EiT_F{;L#@k5 z_U+VbJNfic%!n?y@}EMduG`@lqn{7#^qp`W*{?Gzn*~&gPD)5V=e{9di~o=*y^aW! zG*O)LS~LC(?9=X-Jrwy?vUj6!4+C8r0jhiKcrZH5J7ZR!P_qSbzPHs@KJCM=jHr2dE1+bLT;tiNd-~4^p#wi*UP= zznlCca@apSh-CKZ>Tmg+gVY+VU}xY*bn2>*#*n~MA+BHbK@_!NH^T~AtM@QYh7z<3m`wZsR=?s=XE3B}}WVK=mfiZq5$VV#gj~nmw{Z z!=R>Oudq@UY=(gBVdne}`*`QW)KvO|FxL=Cm_$d9Be2%)IWFC!M-=CS*%`Uv?XZwN z$lfn3wbP!s48LK*UL(TkYs^wM(ENI~am@-rWM1bdk?ZIBX`ud1iFMr>l-wHnoEeioCk z5px*Jz`^#pVCQ#_P>b>^tGy%2?o1r#=jx-h*nigDwZLvqu-Yw>)={^k)zSL6$y0w8 zWYxHbN^GZqycJ<>dusT_S{@`4?s=UvNquBW>Ngl&yf)Lk;Fr4Z$zflFOJ#f8Z~ZZQ z7});#&}J~`LUyD&J{1s1b*u%9cEi2 zsJ;}7Rf;H0d`tBkFEAJ%VUExK5%~~G>`b=xH;C*EKXQyt&YcjwhFq2_ zQ#r%1-o=2cXeM1yp;8zQY?@}UrYI_Lk(8gjUP!+njsU0c0*1PgxVnaadYtw{HAw#8 zIJJ6TU}ypN8aALX%QNEw$xU_JPzyP_vazierf~ZSlvldr@ufNv?Ab0fXLbe6F4<8J z)rgV2KA7@1PtXL+cYJw*o<`B`&L?Sl^kpfc2((6=ZTgpXbDZ!=CutQAX76^8&ld>U z^;V)}XS=lQ5yA;!r5086s-u3j%x|2ef$a0*VI9+vB$B1lNHnOPV7!igZPB)q!WdK^ z!%oO4VX}$tRp6-gw6H--BT{du+?{p`W$?c9Usvr>ewJ#%-HFePPW}#d8`69+-w1i6 z&k!;Sp3-0y-w?W`GSqgmiIVyA4MSMGdmg*}8pQCjt==hQI)Kl@>dAb|i zyRj+010lv`WT|kNO;&jP{?xv4$~K3{MAG;pzV{-ntGfiUdYzzg_?>Y9sd^E&UZTA` z-Ly>a_J@6Oo@8@YI+7ZZLTC1fTCZQ_N_f}F=Uk$}o-K5t{HirI{`{`p#)?&goln6Z zG+I+Lv+>_*<4MWC6)<%#?VzF0RzTcY^(V8XY;*nM`WHyAPSx*1i%UQ!*J11R;Rm`z zo73lU`W=0{{6$VmbBVBn)Myyr#pY`q`(8`$#@-8DHO|NB73y=plD{>tg5nyDlzOipyTQn!@wZt7el(XF1Xf;rg*x?Nvo4s55eOeX zeH9k+J@0;n=9C`NE>W#_&xIc>d55(}qmFoB4km8c|nsuYO)**e?BXz^& zv~LHSc{F^sgJeo?4TUCXJ77M-jtEm@cgc%ktY-s+^gjC}h*=9CI+Icpm1)s_mq(ZO zlef@@k^|ULC-$0$gv`-oI=LWj5>B&;qzad=QjPs*b`(?93#2`kqJ#P&+BtM7{Gkd4 z97C1db(MzHm)RiXIjAwAG8UPDS83DI!_IDH@PgV)RtudE3EoCE<1$Syh5H@n6u~k+a?Xu&ZB2xmpzbB#=aAm zK+GCA1`F5=VHK@42c+%-dLoX1{KI4!xhaObG&M4_JuWuKrq9d~Z=eEP--TdoR&x-f zboogb15zqFNxeBkQ>-pJBi5p3<&V(0V1%UIsLqlGL4(^BFR#*u!0TS8gFs)g?>a>r z6dQkjlm4E+T>egoN=nQ;MAGWdgR6?6FrZ}_IvFPpiqr!x(+~%(rN5y%fift`J@>8%>LT3Kw8C^!|~oArI*p=QhU&j=3Ul@EfgZu1NDWwI{{IWKw^( zkkirg{kBLV&E<=JqxHMSl?%Zd4zo27?c7Y>7k`A7&+%3yy%%cC3pGQbLE=Wp$ags6 zo=V>!Y3`=mx=6jBx#mQTmDdP$8lILoIgLD{-3ftj%>M5&BjLCz+z=D*L2C6ZtG8$m z`yulNPr5~y@ME`-<)ErC+{V~AMDfHsw7+Jj>N1&YodF?}Nwo5>?odbF<;oG7AK-y` znsq#@S9~0lk5%=ro0h;d*eh(1?8s?5BG|47z5?XJW@I?lDZg|*caI?6_;|M>xEP$x zM#A6Ha^Woh^A0W1?}rMNC(i4c>_)b+czDpZ1MTr;LA%(yk7+9uQm&}=Mg#FUQw4o#s z@>kIgQzHHR3w-VqS{i#!7$h4&fz}-NrA{s+AyUQ9!b1sXQN=I9AFoHw^O{d-1F;-@ z7r;|7@hRPF;@DOd7Ij>U*8aY?A z(Xoc$#6Bu^)Nv@nB%P9UuqAiyRYQmo>Qe!oZuHELHdSgn|3EDbGww8A6~|exN^@w& z9*EA$#D02P0}GJhe*U?ErD3>grGc$idl6`p7HQ7`cq_UY**Y-nLt)aW8p2TpF&_iv zM+*qwu9G^@7J^4xF(`@!kwz}a6-9=Ks?iEWv*oCj`ijODsWmCRps~PiXJrVbird}5 z;n+z6fjffR9d*n)h`iLz zsw!RyarBLY&^d{3ce4|kXX({e%5}BJ;4)2C@MMSNB@-EM?2s~4W5csh2p~f(mMi$L z9_G{D32QY`4O^qO{wGzo7jdnZSu(%JOy?pZZ3kDk_nIhXkPd?}Ix1@uGDP)qs5v5A ze^ow4YG$>tG-+*V(((}XRUgOrJqJFfXH5JzFU!(y43DJMk3+fCy4umaE6m zv>b#*Mt;vJ?UoOiK1zJW=J~kY&swux;#c~K{9`}sU=5(s0>WewV23aTVm48P7NC&X zBYx4(#)VP9FVgzL#CHUwjEe~V2)+?2=S4mcYlldJf0hWCVpJ9H2H3mAauo`NMZ#Sn zeV~x8F(C-yT}_TO8~D8#b`AOEglHh<6GtP^&&qj`(bqHasjQsy z&oU8Y0&Xbsb!0wH;zv8cL_3YbJwb**%YBKo8J zyR;i4w2>_;Bl85z9!7qm6oI(-ftZTQU-{2xmqO*&mO-0*FtDR9=SG==>1%LW-);eiA zpkIO#L#1VD%p0}K`?1rRSaTV;U9-sKykbF?9`fHu3nqRrjailHI?4?rXrsuOQ+&|m ztL$qEqtVYHSu!bBXVXgxqbnhXf11w1&R2=<$+CNr;BHLE3XTPWqb%8Ro&;V{NAu;p zaWY!cjuwJPVQ9eyVi?f-y^deOJQSvkE72bYeN&T7-(JNBCre*6zLPhc=$Df%@Qvas z+@Oz0%Zbpygp{?RM1PZ@>Uz~}w12O&!rO*Z6~aS=xCFM;50@@#JtGKOAPcw&mhWjQkZ6=a2c+E$Con?>A#aAU99|=mYXI4(( zTxi!JvRdVeku_hhh#SKd@csX+{Wn?K1*y}u--@xrAueH&P`Bo{DAr0n%`kQxEnU`)tmS4!6yyb+ibK6Wbdu1WDDVb4X)0wD?G z^@D`M#H*4~E4gvFAzmOhS8`|}EoOuYO2>c4HimH<1X}KSgGP0^4KWtb+l7|g+qmdu69sf zn9t&k)2$QHdc>*Gx#RWNiYJ4kDn8CtwNz0w8%}#8$(}PYr8jpS6`t&oMK>+aVpPAggqpllNEg1km<>YWo=}lmot+U#y|=hno85xt6~EWUN26KDMbt4T zfM(`?FQh+36u=yCE+h1fv-F(`I7U(}XkYTD`khPA2&)3oh5$z-$_dfP*f41%G8RbT zXp)+d{(}4p!b`y*{{g&vU4*yYPFIrjsA4UB%)hD2>I(C!|H5C?WpUD`ES=wfGKibjpj~Kav`F0RNZxwt|#|3J+}$Jh#VpByM**M^GWSa z9X3?oNJdCmq1r=`1QVDgqB*0qd*a40W5gk@=-y_V%5U(=9Pi!QNu z&UfAy;)l^%wY=eKUE624Eq1=NuGA*>ItvaW-wEfHy5vW?T6?ht?m|)TxQ%F&km*d> zF3dBIrp}AJPYLTU?fS>Rdu%=Fr`qgn_v)lLov3n9X|1JEaxYrzEf&@ju6iqHIcgc&tdyuD(d96 z>go6WB(D<-E6mg6rJ18Wp_sW4aIIIrB$m=W8+E*fV+OtHJ?RsKa&r+1yGHjYsK2s9|d!usF~ECvQH;Kb7Pmc z(k&(1l38`Ah=3QIHbKP_gMlyv)55F7_8wS z%EBPyY@@WLUH)1(65GDB7rdX`?Nuv=_VL8VEL47x>)zteFs# zR}WiuMZw0@Bcb4VN*iX*KAod>+N;!0${KhW_Ure;0km~U8p-nN6r|**|1KSp@aBJ{ zyKYYTh3qk0hmWcag*V14&+)g~uzbb$noV>vy=Pm?=e1!@;eZ1>vTaxc^>`9UipkE4 z&r4Qh@}n)JuHN@!imR@NgoNaTgzUtayu7polQw;XfI0y|#oHs{Gd{H~3+2v2o#Rn3 z8`|DRa{Y(B$6>>5u+VFoa0~MS?qjss-#~9G5~kP}h*xOF8uMAsxYQyy(4)IG2#R}GA}4sE0@Wh z#dL&_nWE?U?U)~fGQ3ke_IBJZ2sbJsan@CWBQd>0w`Sx4dnxUNr@93m@|%>K6K%H- zg)J%kQak2uH(z%sw)rQ|n8#Nod`2BJnG{xg1n(rEoo+%*XfR}Cq&G$&QI5-0Rrv%F zO%pRO5??qoxs5H`)gTl~357PnDUI3cTnCBO|CVMF$Inojl=L+nM0rVjme}%=VpYOO zn5q0Rj0Oo090sppITphy3kco@7Axv$IIRxnMCUZ2UU6zDDZ4{`Yw%}Q_f_g#1ca?1 z*M;f2yK+pxS=9Zd?k4T&h#!Tr=4BO|+p|xoWmmc=`p~FK1PeBEZwrW^`9)!pdB&Tp zNbzTS$q0DUsUN{Vdy@@?FZs(iSs3+~(>t?b_M|w=G=YEAnRP7MmvYsfrvK9)r*TJ} z^HaR%JgwBerZK0r7mRXLNtLwpQ&Bg?*kGnIDN}e%h9l-Gwo09}v^T1z6eXoqxxrVx zA(blpv_;EqG3C&bXLgi|A({8u)E*Bus~-4`V`_12nzKbTVA)ORLhll|7i@O|evoe`hs)e;G6_H!UVxh-bOT=XPi5&gW3GB%EEGnrgQvg;$Fg zg^T2)E99ASEL&~k=ex5y)@{0JwD6w19OVA!UNahv_X3XI=t<1;-eHBpP-^1+-(jQ4 zFv3|6mgpKqE>JFPhgI@^Ak&1R&|LdCre6=;(orv?BC`j3PNI+N)RICRA?$aHZSki2 z6#-Uifv5InUf{e*Z@fG}&-evB!|zcCtenhNNtyjUW?Us2K9DG?3UuUFM>y zdtsw~0lPyJGh7$RQw z(oOvoZxj1Ee*YuZ7dG+e52WfS8n(C}OKZJGA32M5v)a8%Eo{+*|CDkH-kf4QBc-D& z`g_Ak`@9ZcjDi87xZIS@==Zcl8o>_wM#wLyXQ|o2xq_gd(o*C&f}O(a(8qKPgCJmh)Bpun+2A$~*Ow z0$8Nn`;=Kt=*f=HO5k79_PVj__~Cw%1?8I3KVuF!!%IG6xfv*urPIAPP5T2G%)T?2 zrh=f|e$)=Jy7$#NeONb@t$6({JE3nzl|JAxscz&8A1`189(n zcF_r;tl*0@{_7`_3mu)Ce9o+On&nL-(}jY5v2g`{bW;mCwvxP*^B5-23r)pg2qc{h z6{ftOmp2UZ@^*y^F+G{oN0+D@4*0e^q)XMM>`)6Q`Ml3r3>}o7`YmtNUrNN}ml@KO zar;$I5Zu4N{0o*~ev~G~Z4^|FFiOt}ikeS^L~UC7T%Ps?bL;o!;vKjTs?Nd~`(wCm z;BCHOPWemSCb2Xze4O|Hg5|cnr_FeP{%g4yxWprOs1;(kCNx`azN1OD4Uv|>(SW;t z@2&dGm1?0zl_hv*7T(iG7hk4BbXn_>JEsASDNZ{QUiuSU7okgv_hN=NdnaG{spKx* zV7{f&8H{((bg5@Oo6Ti&YT}nh??+zEAf-La{tf!Eq&dIwMDGXx23Vx@$2PBdC3?2T zow63TBU9HveVw`{HqP)RB*w?bUxRLcn3fxZ!(b!nle8!_6prh1z9tn0?GW7>m8QpT zdxFo`(O<q=Brl{#VsW-E*{m8G{O4-UR`T&^@!^X0ir5p7oY)7E39w@<<`ET5?qhC_Kl8r*gq?3m37>w5lC@~SCX}-2u z#UucxaxjI0Fq;32RghW_6$>lVe(A`zjC!qw_IgwsNddZ1TPYnQ7)C9&gyNdc$IxgS zni^_Lxn~^9l5U#}M_`tUw;YEz<1PO2IMy<5t;(O$@|oJF)dUJHe$+z19t1hY8mx)& znd-&ZT_?fqus2-FAC6 z7UR8`z7m7h;|!~$G^8)r9tnwlUv86)`bbq`PicCCZyPPes=U`tXQHO4J<1<|$4p>} zWGLlLCa@IER?Ra-q>Z)-W_dB*G65^SJACE@7Uw)b2F^vV?n}g<@ptkFc{M2$7Lc*3 zt?)+OYy8Xv)=jJtWwvUgDhejDE8uvnRUY?;k>DK3i7=A!&*uixY#R4XW@)PV=!K&J zsSdQ5$vaGDK53scgDeww@j;WB#q?wGDmEE5k&{r}SW`E|bOkG&Ws_MQ=V`UxzsA0y97gXuu1UR%-jA6>jtIX>Eq~$jCrVjxro5abMgKw1 z$}v@{cP*2hPNgf$d|5vY0bd2>?22}>KDNuJ4Pq;lx0Hp6Pq~+~j>>FzHkOF_H>`#5VukelzB#;RwC8xh8iWL6gpdM4MQxiHbrtEgRlJ*sjm1cO>no~#1~JIe6W@8n{O|0Xsao5b&N)xmVjQ&f~30)w8t?BbY6*hO9HK0y#DL3kdK)v^(7mk%FCq` z{>BW}F6j?hqn@W!eXiN*d}EIZ!8jUpxr`Ry2h9cgdI_=%TsRNG&mn2)x+ zU9a<%T(Xk45Wg{#W#v3F(VTB0-ky5A-PKMLShYFbhD6axgy!KKpV7hc>^6|P9Wp^i zNk|$1Bh&qI_X)gknlzA^5asFTmu9iLrAI(0gxs*)0$8$40q-D?ylxB6-CG3KFYrpR2fSCOiIt~H{ajg zZ_QIXjA_km-cXaBsz|?em*TW_V8Hc&Hd)WF&S3%ZJM6%e%Un5^Rdp<62L;;mA$^P@ z!{dchrWZ1z!MiVjK+a9>ohdEj59hLCw3RNtCFJtn^RTFh=8fmG0Wh4;n=PexIHTEu zapBpDpJ9dbI$eap?L_}n5|i~W&;&f~Wfmh?dv@gD?HS_g0vghs-9XL#NM7H{3Beg8)b#hcO-2#yCY-sbg& zLyJB?@%{@~E4Is~-eTcL7BGMMH18VyLzvFKgm&785!MmX7vSvsBX6=0MK{Lt zvW2WF87lDI3)ximR3H33jkjIIQc5;NZy`B>xJC|VA;R5ZnEXhZqiwoe=(b$&H=Cpx z4Yl8SpbmfVB~CKeC9~OaI1B zQH$EOvyFQ(hg<&$RCywrxUz5IV6sZFhk87Tdz~(yw%cRKX_$5n(pKwACqS1zQ$3Tg z?kJuMwlAUSd%0evGE{JuHLF_HZw$Lq!)HxP6hp)>!jD{u7f30hQrrIw2`7a5p%Ks< zJw7+U1@+gMz^iq#xZPB+#1*w!K@vlWNmbr-$L{fdGC}Ay2F5dJ?ek`qShkSOnlZv! z*8d13ol_hYi{?Pr#JX<>wh-rApR`JAb6Hv>Xa}qzTi9Cv@ak2P9a_yVbfWO#DL#I_ zl*x}QX7RnIDNJeFGWia3PbBH-A05Di^WUh^br3Cou^jXDTdAjQK5Zseb^wxG45?2^ z2|1%-nNj!g=E}-3-GG;?(I@-$h?>;^O6gn%NJ*<&WeDVEUAJfr{ckhG+VUvF2Xs@I=G^p4o#QCJeb9< zkcaYIHWe5q>_yC)jFqt!=fxHppS_grHXl!^HJH|yY*D>qoCc@%ymAQa5Qg!-%UJe1 z*USje9}C9%L*?s2?@a&o>Q&ck=80Xid@F@(nmTjfu4Y2gVQI0ko&TUlXSUNzDr;Pt zjKW;{YYNvY0b3&|*`d0oGRN&xI*Wn=VoQY-{A(}dA=Ii+2;q2!aE+f|#txDvz~?NM zvY|P@w44nji9$uk6>KD+ZSAq8(l>nO*G#F3dTRYso>IlT~b3+%B`}DmiWW{FN$hfDvR}LLl#pacaS;*Ov|) zfjzlI5orRY^Ld{YQf}TXMPx-?VRdHY}$f{bco)B`#c=^?kB{Q zlx0vHT?TEUhZ^q04TUGX>KbN4&O|XH^RRdS!5XY(#_&F0OE%?*ym9)p%*^E2uR~9jSEMS{vLE#=-*Be!--m zhBb$A@FP-w;`QOdNS)PS1W;B7%%1VE>vcdJFSbR6F2#vjm;eWPlW(Lz(h0{{L{4r) zw>Ay*fn4n|f*y0burRYAnoR@P9C0eyeSnse(Z+f8cZlkm0tZk46-%rnIu(xS5lnd+ z0c<7j=T5-PSvxGsoN1h>rb7N`3`K~@nMBMkgOC4$ls6ZWzoRu$`1@eP?yFf>JOq6V z(q_f@xCv;x-sY>!-sNzta@(m5b=BS)$r{}kIGl*0DK(q7)qnVd3EuCo%)&@gKCZ>m z@W5(8%XY7l?g^UJh>64AF`B}M4G6_W|8LwwwZnn}cGKains(rwH?o%SiqGF5nOo0S zYDYnA7dx>~>%^q2YPctHGvIOMN;6@1{7j zL!m{FIdEK0520l=eqEE&x%lY5+90_@^Zq%8`S2*ZvTcBRU6xE(06$kofK3J;n+FM4 zRUNKqzX{QS#+PZnMQ{bVO&IoZYjum!?sR;Gw1Oa{v}7|Yj$e(jvDhxLM30IPG2(cp z)oD~Edc6+O&k5R`YCZJkTw~f2_?yq(jFs=y^rdhL8AKY$lSTD1xK=ry?h50ak~oXA z&T`mLIm?0BQ2h!R{CdJ_(ODg)ui*E}$?Qav|7$?8HeAW(RmZG^t(D{MD209%%&i=c z_JyY)p!=nru0@R<4OI0+MF(A_YhVmAJvGn(MfbHBrLLUl(E>Boa~vr2fZy2l4cEih zmGeFCu0gRszvTkJH}GxctQf-v*j+j1FxUe{-@>WNiJ(DOMUN|2z}3oWlQTZ%J9t<* zu8vOH2;FU{K{m$oW0YbkdGEKltuu_{xb89~>`Ev~GbXl@~io=N0u^ zq1+N_GZ`x&auc~x&@R>(SuhaQej9A8+*D#7W}Wa6nF5WR+hI1hZe_V0cEDh)2608R zAnb(e(NrohPQ-f>XXz5dwKI01gGS{0Z2fLnQh8GuL*6~GvT~&y6pY#nBP+*q_rU}| zWwjdOV~@;F>^JNr#IqI?~PVhnBOYY!FSR&Gf4KphbC(d;W##v|^T-}nDWU3MaZWT{I&9{Fq zdC?s3^7m5p`qR_PDVA^ei`CTFzFSz0m|U$hf74G(xFYCVr`YXo zyL}ky1HvLaO(U@TV=+WZA5Vrkm5r*`Q_^(?fhZS{87(H&LKDZXqTNU>Je9~hU zYslkvu@LNU&FXC}8LJcd;a$QXM5F!g1+}K=9CY zd`De*e8sBm*r|=^Bpux$)e$7=eQw_=9pN{3N-aUEsJaV74n)72PyB&xNzpmBgL)pR z6ExMc4$w>iDYhKD(X|5O={qB7sAizLX`AW*y-#zVz*y-#Z@izSh!-NoSrY$vkMyZL zROy@t$73$?2Yc`sR?3%PpPHup#Fcxc^|8z4DZ=TPD+F3#TXK&#axE1&=sZK|USWu3 zJXoI)%S3*Duas$=i(=w<`F21w9^fZ&fw(K&vrqC1S78}%a*#FC{4G@dO)zeR(Kc+4 z^Hm2~YScAY>!(ti$a+2;^1atFE%W<9Ru#VGDTi2&Yo~uYJcMspV3&+GkM+7Bu%}Zl zSLfKiluktP(nBoP{%fpf0_-Nu?`uW`zQ-iNRnK-}3#YWWDD$;HNQpJJn|_siCpA07 zAwuK&wlt5e40~sL09Jp5bF)2eEfcC zDSX5Wjv#blHt%#mDkvEQO%b}D|2}5M$ZyC*t5dV<0`ksWQVw6E#@b%88wBHWQWJM# zHE5Q?C0cL1uvjxmTw}bgh^zH2Y5RG-`P%84TcXbMt;{zaVU0DX<*i`Cq>W8&SKr{; zqb!Le1$o**#1G!_CM4dGvYHHGv6!iUYFMn}oeoMFO>V-e%8Zv*>%oc}BM@u`K-RD5 zUmB@e)S4(na--zh%$UlWMpmMxmD(%YHz>>O8izBkUFaEE4qnqNGM zRrn^|Sr|tO2O%t~A#O%<3vQws`xlW%F4A$ljcGw4y~IQAK!wH(CLKz%GiO6!DUAVn zW!p7$NhLnV7R}mTfhS6MBJP&9s^`LUDI!j2>eIHhr~7c|;LE?NP5UsRo6GOY@)iZt z*N_HPnmOvl^Iku)Soyg$O;Q!ryvN5JlHwcQh2N{EN-gK82^pa|Nb3w%t%g^MdWpK6 zFR_SF9}cCuk<{U?R5q;fmx3AhC^-aQ@w>eom5>1!8&?h9Dn{J+m$^H zO?-nNuaO_aPH2Z0ZiMbJ-H%DXA;dgQJV=sL?!$MLop-Ml(!{**MOZ~n#eU6?9hOX< zX<77*7SqvWYrB4nu#B|KZ9WQmB0ddS;~g$md%&L`V`!EQe9#doI%~FqdmLypI`_c--oc711H(A(u>j)I40yg11~4TV5~}W zo*U$KN3_aRkgFrN`hAZ+D7KW1AzbUVi_W z^h@C>1^o??<8DF@D=@0>X4&il`30Ds^~4}k{T{yLi1;zmHiT<(dV*51WFs4l&1Nj1 zg>|TdX~syi{s&=N#r88yD-`#~jo?ds{SiUw|7XI4Gb7WHuaLs=&mylELM*aSD(9P;@sWsr1Tl~LnE#Gx{~e3O zsXhN~s&YYm+ZdULdlDJs)hJqtJ`DfcViC$WFC$$rT>Be#j|MQt zbyM*OV@(Hz-{paZrDBKp-u$NvEW^3Zw$Ho|Ucotu-lQgbVx-=4_@Wgb#0?@m<{}G8 zgUMz_M*(mBvy^07ACxDN&?dp-$Aq;rJ+#Z63<5d z`$d*sI@L1VvE?=+$9#muvX>h!qmJ2K-u}F_r2GN`9*h-57bG3<23OJi)4|`k$_A9)bG=i&O7)@U3&fk2 zkgF1V8S~n6{;`!>C2Kgc5_tsUD&+sFjr{0hKweIVd;q`8?KWj;eCqs$Du z#~ldN>5-V1_Loh69cH_GUuXMO+l92PN|!r5DI=7i)_AqGKMTjt)@~)rl0l3K{*1kiXPJ@pPv;yR%7l|B!*%bL+P9u_!1@>u8^S!Z(NP% zcqeS<=WejRZ^qgYPf{do<|0E10ztTFB;7{=>T`6vq@6$d*Ju^w;;qYFA%VZ?^NbqTO(o)T7%_`dp zj~W$wz&nn-a_SSRcv^7VHK`TG#QR*s4Alfa<{EZeCi0cnBuo4xGRH;PCNyQxpkVuC zvJ$BdSbiyzV5c|*ykq_o@T|CWP3i{dHXZp=p8nq_;Xkq3Ub3Q|tf>1x<_`wFQ&L3+n-q@RquW_935!Vl z!>v}{yRYxsH43**k(!e7n79q`DE{@ES}s(k*E&G~`QfNr{%%)dF0dqM(bi!2fDj2CA0%9(dlZpK4EvZi3LmBE^^?YbhyL!Q7 zL8IRmULfcPWgtA+#)??$a-noUyEpC`HY*R&JZEp7;j8u8$G;gWl#`hHhYUqk#ltY- z!=1P&?|h$G{I%1s>Ef$9yxZ6%lCxg7jwEMh&hjrI^Nk-i{$##+UBX|y{I-;$Izr|` zhP#*Ro!?}B__oxZ+yx$gM{){<#vZ)*0lS8cqb^ZA;jZKpYV>sRlDksd%!MGmyAYI3 zyEr`!=p1ZHMZbhDf?hkF=+7vu$}h~@RQuq%qzS)e&XUde{o5{J6>SY-mL7;US5kUzL9rQ2(K7>%x;-z(0L6+*Kvu{5}hv{(1W z(|DKX-ID^m;X`JLBze0&WKG%~Qy`8Slx;+7-9WOIt&^kV(kA6(zIDB;uR2usIi}!~ zle4UU!-p-C>^$G+Nu?fUmB)3*hXWWLOFfvpd4D z{J8jzvGp^T2tCug>CW?2k5~|f@)M6(5(@nJ-D318*p9-dRk`?>ZFY{&+#}p324pNR z0GWBvdqo3Tc^|Do3HCeu*kjf*a~ioHz+j@nIZP$3hX}&mqc&HSRny7Cfb>EWX##m* z2Kgf(zr?h4loDsmCe*8E(QY=3uO{(RWG<_oYC!pHO@6tQ1wn)Et+aFS9uFy|rVw5DU z)XY{4lGorP>&}}@lG5U=UduA-a8&UJuIVocQP13m!ROyV?;F2^lcfGB?ROCH^o?@| zy|Ss5-DRse!8(gPicmw8SIuDr+Ea)FbMcWB&Wp-N#! zK|^HI_3d!eaK)3ZXf4%4QG#A6d5?srs92ilP(j2SG74>SJ zQjw}x)z4QLoyd4kX(ZT&qtAf4b`X^*N;=#EL!EKhOMfSB6e$B`FU+oX9jm#I1-p{A zo(#?z*jIT@f(V%!4rig}Z2reztg7ZzY8h-JwF*lLIxI}*jh{#!@8a~%?eIFeJNCl& zv`$~?r?57Myg4sezBe(~8gJ%(pR+{I6Bcy23e$Zdx7SxcN%vG3OGBYnalS-#`pO6cvOjv&gsN6AopjxMWFiCtUT%yZ$2PEwo^nD&rSl0^g-RdUVKQ zB5bV~q4#3v0a-*+goTalU`ou$3r0>ansZ6Y$Tw)UhMN1>XJ9G}V?{X9*pESU60P{@ z1wJ!Ml#xM>Fm@$G{_-UoUs~bQL`Zt>XfrC`y=I=H0Tuo$L=hQ}qCzDhp9=MuaRx!+ zr$i!DQ2ZWSgJ>;={vJv>P-$U?f@A;pn~49$0QZ%L}&sh!p;E9{QQ#0lX)-#bjQQlUch*q`v9Sz5Usp76*E4e-#kE*{gSYSOr< zD6_$Df;w8lUWfc_>H*P^IwxZ4au|*HHW;czVuNT-5b>ItOJ<04Csb~taxS`m>1e?` zj_8}9cpT}auAUrra-N-;jk7tkY$7aafdv#4Nd`oMV9qQOl$@c+Ip-vUg)I2|NY&2S!SlEyQjOSyQccoIZt?QF^;hgg=vX-+3T?XgZvATnlXt8Z8`{LY^06eI81i5SxR4 z2#kjz?Su^GVaz%Lfaznem*ApqhS(ieYiJ=>MI}n{bzfyyLVP3#^+|Iq79( zcgR9C$<}gETv4-qAf^$&LqDJEMHt~O;Q1nrytEMS5l^}xgw%SG0~l5`PVR>CPe)v? z)$yqv7vY$ebSc;g(%O!Cm9O<3jdNNC7pl&Y>L<#2EKZ&a+22slEC1l9lTv|s5l%3z zBKf6ZAWHp(pI(e7=>OzL5wj)li~AM(v--g>xU4IV7k`O%sJKqw)_daIW}?=Qkac5a z-2(Wb)-2(7K{EWQrFahgz$j+Itx5(-iJW7IEyMGv38~@TFeKlUbay4)=z!BX-dwO0 z?GzekgvQ~p-5##5z>4k3Kpkd7OzYrE+K+zLUWS52^W7jVmUYm4Qacl=R!i(BSMF)PoPtYlGCxac z6YuZtRYr@-DpVV8g9G<&{2l&O-EI;di{2TAelYQ3i6-bKnLox}uQ#$BU$z@&#a@x< zRiwS5-(anL@oQB4Gs@`CJIT}nb&fY=+C(=itJx%^Q5%*hcXN?%lWE)dPgCLtLYob= zt6;m)BH^Wd_&k2;2mI0&fSC^_3zZq%t)lkA^C=P&pOn;ZVCfNbY?B2^{S=lqV@W+w z`jk8pJu1&-)FE`7`F0|oJN-$MUpp6_&<{tvT1BJwqgn`{1cPT2fVyDly_r;$cl1QE zSMWh9nhrySPgL|=%k9jK!wUSfE?CU{gzO0w)2N=<+W|%Ko_n4-tFlG%$KqD960ZPT z%C@K;7;hkFiaw(4eTeQxUnkxXyU1Ew8?Snr{_Vx6`E|ZQO?TxLVGjUfvDKjw!J1iW zfW2`>!C-dlExH6J_QV+y;y`hr+6e9=I+ZsLvVj(uj7`(fcF6N3c2~Wvq4`t@Y2Oz- zAS)G7KCjgZ2ICtsgN`1-=3oL)5R9@IA>h~v12%`K=6@Qfmm7?9Qq4%aM4L*Keg+OG zaC12D-xPr6pA^6m@{hvYbZMSofDvF2U?e60v*_d`qXX_BBG?v-Rw@?2?hWaX*m4Nb zFcScVzu@N45{X7MY9kEHbA=7X*FxL#`3f|s{C(cvq@LP(iq=mq+2t`TgOt3 zL4Oc|1?p`(xd>G> zVl#!p4RB^NOf0JZO@9XM@E1i>5)&?(A9(m^1G5G91Ka6>+LBx{LUmL45?DFDnK*AS zF4#{O(P_drYG4>#jHBL~f#m1V1=T72&xYBm$|d?))?)H%@_Mqx$ff=+-E5jQo36qf zXd}rX_i8*^>$X4>21ZSP6gmV+Hz;C@DJjutdirKG*PES|o7$swv+l)(Ls3$KEgX)1 zgq}Z-UY#Bv@-}?K>u%K;|3uinDgZa<--C31h ztvA!12HfyF(gl?EP&0#+2VN?9uEhv62o*ILiQOKLcZumDlx4V>+zE2`QQqCeW^fU8gYyQoE-qx!0}#8i~F22a)sqTQ_o z%g$pYy1_78yd?aZ+WbdUu7A0u)!*zg`juWT{E@k~@(yNZlR5nvtpMQ6SpJroW#-IK z?<5zrzv{mhZVM0bSGt(#C*tu~PvHXCqT%(*)A&N3qfd(w`Wf0`^g8M*Bu-HCV`k>( zM?huY{nmJtSTI}ARSq=V7K*&#ujFcH_7eIN=#5_Iw{5gKZiDxtg(iTFCwhaqQbXyb*esZZOvP&W>Sbb_zyK2utzAXA-pUHIcCsWK^gy?e z3UL@jRpLG5PN;Ymve`~zsdfwYM(t4FL!a=dlg5h^?2>6cuXa+uW*t~w zjRNu4^a1P_{+^RY0t4t3vWy;fE~a0ReUPo1E!L~dYIu-+O|GD|(ksg(e%Q)V(Qf{` zm34wz-qSW#ty?Ff&q?Y7G};BB+XlYO#!@50%%9@5kW+j@VNvTPMV|w?+*| z#qFWX$t3O6*zYy~A%YNW$jaP|&-T!^=xOe9vbUgU2$DLeFxJOQpBHO}QNb?6<2VM< zJ1zmUJ0s{JxgkI+fqc6WECor5R%Kj(AlbhNL1>2+A13mo5`$u~Oh{4e6LGwnU?-H~ z!d_5E5`{Q{lwl06rilW;!63|n2Yf*J2*ml=B4Uu4v0(fr6>GqRfrwr;py*X#^a0g4 zsK>Azs6ar*9*kvEC=P)QmGY?4>h-HZy-Q?jSO<(1VbUiUfM%|9Xae*(i5eS++>#=v z3prk;^kRcB_g^00rT>RzHTf*ro)!&wQcR+(lR#OCN-{*uvKmV)1Wvhxf+CM7E3Tt( zTHxygWDk>E_)5^n!`TN01*v62C{b*&jiYF z3E|X49hk4fJ7YppLP~l@VoGLXYqS2$c@1qa>;Nq@uX9;(!8FwAcVV18qIxw@lTgvt z?@za9q=sgr=xJIQNV4_1h8hnK4#xj7Yf=64Zga55Bhq76?Q_=y!5hM<_}=fgpND&2 zi0}PD`?xKHsWIhh-gXOR-;9z)i6|?7tGnCKcR{>^s^8G5PgpTYma{B`vPol@$t-j;R!YH zJQUd{H7F}ll}?I#{8C4Dbc9j*@T`zU7qJ?Lp~1QXq{%a=8b<-_;u+09j?fBpfZqzT ztUCStjuD6jJhq>4eEt?ROGrD#4xzj%f2ylLetI6H^@l-XKXZ*Z7zgj6{puycY>;^S z$u$&s34sJ^XWK1{Y?p&c8+oUAR!uhHpZJ&r8dPrvjA11IDCv`YgkOqhN$$C*gri_? zcoG>Rtf2!^uF#cafaNl_4W{e3C&YZt&3G%g9YN|M9c{rotpd$a>H|P{-NJJcX-2)f z+6SuD_#paKdzBtU%?p~eXs{P;L6bmabC7u1Fj6%EA294dZFixks&y4gY}wVP?Fd?JQdz_>l@D=+y5zum;E_Q`iK1bp$4nEcKJh%Zp9nbl<*^TgF*zv06^r`XPDdLrydY9TW(e}dp8wJ5ME^&t z&r=rH{JT^7dwEVsm6O8MlEJ8Db`_CwWs_bHUgmjnQw>vPs5P=qWrHCon1;jLV?eE{ zUCpi6$bcGB{|HdS+8HaLw;K)&FQuE%=!}1L6SY&d-Gr>SWNS3C-l+5w@nAEn^bMhC z0(299^%Id)&|XMw;!JFrH;Kj7p?v{4`G9|tMhj|g=x=J5Qk?G}jylgkU9#1)QGA-i zpP!$yxo8KTQwvVoiC1ZfL$?br)|!x;-HvCOO2?Wjw~{%2JU!;GpZxnEMya-{)q8PG z{F~at$N{lq{zt+%`5R#%Ee$-mk44@saW!$pjm2S)b{FDJ(rJ3#JAys@6<&i&R|@DY z+k6z0x1gEE)KDmW9i%Bcj}>+cFLb_zqgT;)xLtxi>l5uc<5=8x02-xQP5Fd$nvDAM z?dkMoNd2T|P`lu1T|s%TR5lxLL|hkTeo`Fp@boB)pa{>*q^(hyFN(5@sD^)>#wt(( zKaj>=tts&K*pEH>S;(#u|3H0HLE$V>w;RO8hoa8ObyJ&_dL6%`ySRreJ(D~SHE8yU zTE8Cc!{3SY$!$O&Xp%G!?0LnNxFGjF&@grg$Fy7NXVz)d*GOIgc$TVy8BP$@@fHlC z87)?biDmbt`>1%mP*%`5HJXx=Ys*ebu2_J6mCi~Z3*)50SR0(g{7*OM9kOWvJ;VEE z(+((~f0a$ck=cmdh4fbMHAq#e1=*W}NH+#ukv{{Ss>vWimp_W`#>2uqDT6gddw6vY zZJ{3Ge0CB^N~mggO5lrfXqhn2a6yP&&w&hobQJ`06}xG2VbK6CTc| zUjxBkDxl?w^VIh==ZqBcGsr&_EtTvaq3?y1s%2z38cJQBL1ZuV-L9*QPsw44XfGdK zK%1c~ZpdYx>}w>q-n*rJ#|v{&gCTILK`!+O1uxUt&a3!G!(oufIlx|Z4MYjcQL+=% zOIj~Aa(y9n#SbdlA$*8PygUW@bMTtA*3*;VtAa9}hDZVbjl%#-+~F zb{m7&$dW?V1Cp*WOA(txG+iKgA)=`k(#&IZ**CU;yEX=ffW;_);->I-9K5=M=J1Cl zP)>s<9je(Yp+pkE^AW%&;_+(`&KPNcCTg|1HbAkAi^71H3UL}uPYqSk4irF&pyCu_ z5|P|W_v!#eCkYguV7!{61crbY1n+RrkMu%P3Bp%MdtzU0UL zz*GmGv|!PB(FLPiS=1xQhl)jz2ZUrDC?|+om0*W(6Ko}kT1A04O4aTkz_C+J^{zY^ zCcu3{`4c4)g!E&QmTSsbh)t~{N{Xo%&nRO>nlmh;nF>-f5*<%?d41ZPzFX_v9UE1j z7UP=bavflR4M#@#t_oo1CP?|}rDJlat|cXo=`GBqN;Ns4V$T99C&aoHwHaFL|9N3m zN!kOV-zoX}|1JYZ*MGl*?f>g-?a}?Ub7cpA?H#m2|DJ?}kiY%w zpynV?)@@UWhOJh+$HI>^q;>rZ)jLqqNNV4M0)wgZ8`Ph=XQ)4sPooP^qVV3b@h9rB z>bO6dCG_}HnQc^0!dO9^N%+_O1Rp#;_-W~H2=n+9#`M-@b@ac-^N-_%M4Eiz{(qd@h0P9lPJoG%Z?G6qU;8cID z1WW(*2Db3e68K{9uXam-e1~tP90;^>=tlDOC zHMIS~9FeHWX$UwPsLCin?iK^6jEaCW(y9o0zqVyA9MO;=(;}N$bv4Y?YOfCDCQH;7 ziI1pc4(kn89`ra(euuGPxsqY~p!PF-StXkqTnwK%hANb5$TS3K3zZPPAqL#{glpJ% zovg5#RJ=QsLG+p0|4$;Iek+M0eyBMegzq5!K~v`9y;@MY>o%wk z>EG4eN6v(b=dTfn{q(vQ42By_$V%@7rH)Auf@}u_Z#;tk@cuKr+h9Yg{dk}963jdo z7joEHiFFZM3%q~7BS9VY`UD23VCNyPYrQ~6hlhjK%+?mvQS+0eu-Lay?blFv`U^n3 z6Hh}Se}>!JaG8|a9TdgOT)T=`bOln-67w;GJy2l296&PBcJDD6*2iY)ICrlQ~kFuL+X5291TZtQxa9}Me(swM8kdkI(|yxWSprB4mtiM#zD zbEvJnD*A4Fn`6DwV@7j z9$)95wV~;)zhvKdT%Ml{ODr!Jx=Wp!_MzwFbH7kUQu13QCckXASA1lgtgis5J>9^Z zF37*Krpi-3ABXzUWo#{aa}GW%j>5&cyl*vgRDLR)72)gx(5LBY{{=il zOD<~a7}P$0kon@{LoU~R+@U;V&2Anj-&u5CxCqH~3s|2?<~J|lSukj?r=*W+|b;DJG@mw(FJm zA@ZkGmyH#EwNy6Dn4+s{y99fp>g)zzmGZJDsmFQ2(;z!o*>D1C-1S!}aVAP~Sq{>3 z^ds{s{@Rl?2u=tSpQK&dehTUG#geM?7}Dn|$lWyB<`_)!(!u9vqxhvRG*C%|PqQer zm<*s?50ry}X*fCLNwDf|`b+Y0qbX>}b(!mE^pH2Kmwi{%r{2fzHp%CBZd=+woRt;H z`-Z>QmZnDg=O@lG3=uDhU8k56(?$x};iQte%;)p_{Y}E*q;R-yUGGENSTIM4fT-i) zwzP|FkNK+bqrJgy?P}UgNSu#vpgKRM?nbtfg1Ko5w{$5uSawhA@hgZ~-AEkA)sj>Od!$rNx- zmT3o3dQ~DUphWEM0)h5Wi-J@LS=Pr99j^c1*j$5E?F%4oh6*}1|0`+YU^zMn&K(97 z(<_lOGsANL@^T<=$Mi;!(Dwmku0~~-r3)H-LSqD10Jt^Hh2sU#wi2H?VWSZH!7UOJ zr!cCR0iX%k3#|8c+}gg2(a3Lf&zb;EnP2>`7F!8X~5tXo@DzE_@h*oj{74Dfew9 zZj|8b)ZWUeBuFxmC`2j{zk(4cgaJqinxN2zsRip9)nN?-y?I$J=O!j6B={0tK|`LL zo%$)cjMeI8CCSMn(NkXM8zAutAtA&nN|c}#_-~U1UF=e4YC|<^;ZUY1hvE>`?Rd6d^4UcEPiKGw4H}FWY zaT!Ezk%yo`@+|eLZ=ztY3A(C_sNr`0aYvSG9_pB@9ZegSX9r&P{z2}F$;p@bk&f(> znrk689Hp*BcSYope3IWIdBYx!RWB!_e8l|d3XTC^F&k|~`kP`~=vCZT@g5`;LVxd; zuYp9m0{C>3>~Dcb{MX#;fRg=d?sxcC=m#T32=vjFPQ`*OCY#A*%y@ zx7%;G&%&ql%gs$g!_i6a5s&|O`Y5Xox4l49Y90lo0fBn6blcGqR2^!S76XCkq_2=` z1U@fLMpab__6C)f$geozOZDd&zZy@;T?#%UX=VMKG3`9M-Y`=fg1jX?>hx}({<(Po zofjx8%gb+HmmZGWr!IC`pK_)qbn&XxmQMZ9{_+|)J+*x5hn`5QlCGW&xC#`X`WFw4 zt$u+H_&YRm@TwQ-QvS<}v_4|7I^8JLiHyANOZ54gKOA%DR;0cd&^$1!*gzPSPH{%h zf`p-ZhVw9BTG$+C?r2G~z`0*iuXO$_evZ`pHR5#*yQPsYXv7W9FGN4glXp1TF((^h zQBAO@9%{tFT5-CT&DO%`V^)xftAcESULHBfdKER_jnZ4T$)ipbY z4iP@RJJr=Z^3^ZjX6>)KCME|%KHp-L8qvS9UTElc`g_IaLJobu2B>__p{O9-B>8L4 zNps3~kiXB$3tu;WD#~{SCwMO<^LKReg@9khX=Dp z6I~JUH8up9P6S>#9CrQ0hxVjJ&V|OyWIppYY5qRA#Z`Yqop99FheEeTU&Jo-q?3Ty zgR~*Or8_IG;S5C7#E&KAHynes!%6_U;roIE5I4o4RxqOdCl~+N^`QR0YFI`8&x?mb z9cvJttI+9;wCa*>t7b@CP%|G@b2zOnTdqU#VgErr=<*zWnby_5R(BDaV{)g?r`3Ck zc*h>h88^su)zBz4=ZTbF$-Z#(X|KuWa`Up@G%GrgX?%C+Mkh&Q(ZtmFIl>)$5TNbv zAvy;sg9K_28`Rn6-A|k($#ZC2j=)KyjHIVvO3aCzv!7va*KlPh1Pp&19O}6sIuYmXWjJ$RQBT?_Hw`QR( z^=9!QuhL}ac6qG!yS(cxbTFK1%O!2Vb?GybQ*@cGq?q`Al6>&=>rKj3de0zU$u3*DFN+Ap&;rT4MoO%CVtg*C}w z#MXQudZE`u)b^1jv&%ZZ`88Tcz1BEgQz^AHWhDK`e}9dJ(NEm}I<-S_ukdvmFWfhr zVZ7t()DhljABZCpp{9Y$% zGWkkHo?3=TnB3!|-k?v`f=FHkBi_Q8=S}*eqPq@Sc`uSxh%AQxm|u8}eF(bionL30 zYE~l1hQ}2Zb(Nl)sQ(3z(U3-Urr}_td2*^R^BLn?Uyx2ITl?f?b$2|#Ykfg|*M3PYuRI=9D>&>}Y>6m+_?vb?_E3#uOCPXyt(Q|QO| z%6DmV)e7%0;k>Y{wEjg--lNI!o7AUM>XljQW|lgFuZ$GxEJ5b|cnW@@Vd_1U*>a+3 z5T4E}-lOsQKP@w{!{IElHW-TrX&&)c-=lSeYe*B%m%m37ef`J`h`+Qb0Qo_{heEyv zi&Z(T)}!oQdew&{cJDp<60VuVK$7II4&f6K*pZS0q#L3Q8n1(~T{G7k3E7KbZxjz;-g$zB)}KGJskJ^r@y zBo2rPWn>^(XBLcEsOct(z^1j`Jy16sS}Svu-u%Un$U;eY z8P1l%^Hb8a5dVJ61Mf3S%~E>WAN5~Dk)kFE;so@wbP5HAf{MXrdA4aJ&YO=$L9zD$ znTC$3*l{sA3`khtV6vt5+z(NltYNE3VBSg&NWycw(4WY+9+eM3KZB@0gFp+~4i!Jd z?4DtoY8ct&6V_qDVbnN`+8BBn(v5ui`^<%x68>gC`eJ%48Q{Ds$@=$m=5Vsvr%*}~ zb*8D%*A5H{;^JD>l(@KnVI*(y0V~ri*X{&@<5vAa?fy7E>I3FZ83i~OQfNzPZgY$# zBeWcp-y9a%PvtRWG*ltO+M}w65cZ|c0I89aAFyb}WOdmP&E~jeaf5U{J1q1Dena15 zcXYhv5BDrnm;NkKv}?x;dxd8oL{ra6lgL=op9$@Ieu$tng!Tc;r>Zwk?aPYQ(49as z?J=RKTVIy!n<}I6#CBP-3z|5wekG-=MPL|bld+(AFa`93C--GO+c@$O6JjXa0Mw&p zs2Kr)Wc+HPj_>QsW*DZJKTSw!COl7i5ps%j8PAOasM|0z?kwEX>mJ1)Sx1xVv51eX zVG;XHW5n%s`3B*8sXtj3qqvpmW8tCLPvWl*pc(3c#%t&|JV83hCh++KXukTI0LZ81 zbOIU+qT2nKn?D>tGwmRoB8zq?|LQaU3xJXl<)iwsx{b#q)nc1&h!e?5v%;p+hk9_b z#Vm-c5b!FhU`~U=NMsV(YZgptsO1EP@}ViJhk;UFyC)UChNfd~ue6HEeD^@;(?|0g z1F08ejO0P^ZY)n9M7_^VB_Llo7e(Ca@gOq@oDH2uZi`e;qyP0hjeIQuWk)jsD+^Wa z9Ks^j3M5v67A9i(p6Q8RV=aEJE+KSwSfHLsZc9R!4|E(O{%{a=flECc(sC3rYbV02e*Kxxe#_HhGHV;GwA&r}L#)8$ zS)O@CnoX8*Fx*USb22WoQQ=*~1oNx5;thBzeWoBF;7276gzRB3!S8Pl=l_QOJM?+-M+UHa;#H`X z8@PKQtMB_xqFA<@oDAStL+C%kGv9>r;Fpsymm3GuEPPMo^#;>`_dc4B@5&>D0Y+CK zEwR9&vgoY(IU%oY4meM3=I;!qzTA0aqObPmoET~03)Nkz)?RU7e<0u6b_z-AIfXPV z33?#_t+O+=S3^U=cabKoX!$<=*1XpmLt-^aj$9BU zny1>A z`NU&mnk9VoP};<}CU)~WTh1-T2`2E1ql;uG{tvyOS%N(YEFjJ{uN(m!IF&I=yhQY8O?;u0y2-{ zBvZ&_f?ThfHAG)zrlw_S%APe>#?{NwLH;)<)ZE+w7&Rl1N-bT;TFZ9~r``0EGpNdA zPf`s6;*nOrjwg?xt)(rQNz6z;;eAKYeBF*@C011KCQvq6&)1Kj4WGK2>7Y6%PQW7& zuApV>kPO5^bpw;C)Vm+2F9O|*L&A2kpvkwWym49d0*>_PnbBOgvq_1(^C~A*|N71>c-guo2gGm>3;wH30 z{XKE{(mwHKp4J|YYuRCl;AV!hKxuIgG3!TkTHSO3-HZVsTC@sv^>}rfl*lw>8A4*x z7+QqvXU&6%2zG><<<7GWDXOEwW!b2K@&_*;3pj=x-eD}PwS-R^OOw3)oUi2nAwFY! z$7aheGWISVFFcgjkut~gJINmD9KQ&kzzYogkFm5>&Dy-3d3yLsL&_jVmNKEgiX+=g zw8u1*qa>&ukdVP&Y3g&o;*&zx27~Z=Fdp-sz|TDS9WGm!`qZ!ZlJHD}QFuM>^!h>k&cvG3 zvGC!ULZ|1xM>j>#OrD0`*+7=TFk)eCCRkw3XiCnS;7K))4nd+m>}R<;RR;a;u|)ZI z=)7UDDkOqAh!*tJKZ8ouC4?G>gUX>p8W7Zuuwe6n)ADgxG#aC>Fk}lT8bdyMjgGpm|A6X_;DH!Wal(brB)o|{&?|Rwk4hC_Kz?*5$DcB^9f4AA ziwDISU`|Z=$nmsP`c?mN@?h4BA0AIVXfv-K!*ZeE5tu-&nk{5)Eyp+ODBj8!j{yYH z1N}8nlY1;L5?7vEv5XJsI{???;sLh%?ySr zUNpT?X1#^zD@({HxV(LK?gj)}BTq>Qn;@yX09g+}9{Au`))9Y%dCEBEGkQx!b(Sr4 zJ2+0O_M`lKP3+c0K;FSXL+1WTw1kx@&e*=`Z zpt`JqbgA-Z&5U)M#1c@ANo{GI0ExOxD%(k%CTK_o>jR=vx#A@1F-j$ZpjEpBH%Wjj zxT+z^Ott}J)?X>4mUhy};%k(2q9iD3EJht{UD8*Iq}c07ds}QV9NmIc1JFC^yP^rw zIDm=>(rnWsMmIttvKK9N-^HCD)+hQ*T|yE#II;%X!-CyFG&8XX3_Su00LSN8~0P%sw;_NYJ;WrnAU4;2F=L{?Lbp@#(W{l_A;3 zF zAn;(E#=PpzCfQtRuRMhh3b7+Ip`?bFiM(n$Yd|!ql#iLtMiH}Gj`?S>aR|TAmp7XW zCMxci>+rg>*zI<&JfV8gRp4wiALO>6ssgHhR-aV=gWISa68a^ee3!NWfjbKXE3&@l zbX549E}o_@hY+Z642W5peSOp!_XO>DObiJ-$pW*vANr9X%Q`(jI*;0Qt21|zwY8C< z#q8V7+s|g@HG9anwLji3&=c}rGDap&YpOaT1*?1PBP-kjSPCGib)pg+#@j5;&&VdT zaznIQwqdlv?;ovNNJpvHB~&(TRPYUyWzLoEC%<`w`cG6U=iY6zre8y7d70p{9v~li zUos(|y_sPE@(f~E&BpP9KfR)XGbMj(=|Qr_D|Ca801U=_h#U?mINIDNUV=f~*YuE} z9Zr9t$rb25b6P0Fmqsf!iJ$YY=hMN?6P{N2!V$8=A_jpToxA@=-G?hs}V?8BUINIT#j~t1W!b7%gEkB{69&p z&sbf_S<|?XycuCIegZ`s4av)`!;2RUq#^+b~pY96e_K6E90ph-<-@QydFQXXACwqhxEG@PhilZm9C{FZ!~+VF6iAJB6aUc(@+8+lQ4mt#c4iZ34I%6&i`CO zo&GVxXZUk){fYrE;!pEj7|j`W%6957E7wRb{LT}X(tOwX_~d*~rmJy6LP|nHmOWnQ z>%NN&Vzki|k@sFolkrd>oGzuuQ9AFvjHatUP5y`O#Ahs{x!%J<;5e>XMDp8A(Eo;O ziW+}Mj+0>qK#5c#3J$l+Xej?7yJ}));DF?5Y?2Vx-Zk$MZ2)*UK|TZQEo5)LBu6d6 zObtwiPm&1+p$evQPx0dA)cMST$YAY5?E+LcbRT7Al>2iJp*_~@q|_fs3$g%xNIpZG zX-YxzB;kNiZtGBIMVh_wW;x+V`7-p7rhHNU*AJFkIpYM(W1JMw)6!_SkT z^SBt_AiL-uRWK>3?Cn(e*`353w|Ix2iqR(efmmxkM(lxvKzda3bYq^ffxayCu`ny2 zyn(tQrx4;BHqb~-Z%bBVf1Q?QF!cEtmDZaoIa?%mzXD7xufD2L=Mh?+3+~~^5#V3t zgF^lOz*kK9h&6FN(WLrY{6VLNf1HAZgY* zXC#V7o=fNGrG(@8Yy6pVBdHh*3GN|C-*+w4u0Ewtp$z^Gyd++=Sj;&e+Shs~%k6fd zE#fiOv{)2f%&d{Ducb8Be}mq5&2Sg==I?$=vq^`MVIJ8?15G!{mmND$!w&7$#z;64 zi9iJxG=xzYe7Ythza9+O`a_uKlNK<5QMfxa(&#gN2}vf4&%*Nkw&dJ!C=?G3`A;`} zz+Ev`92pHFD^vWd&`@X7Zw+HryYREW2*nFgMaK#FN6m2KGH3IpmU`Ft`Hj@2J|~Pw z-Y9>9?g#ht2OFua`In)39_ocw=f%z^h6wf6!~JoM)L*zjSL2GwB&+hNzVA#%3(*+z zlQdHrN=CA~_Et+Q5K@6?+ev*wBsfR=L8r(Rn)Wf73C8l9Xh=N|GSW~K(+m1NT)Tm_ z=0`SBt-M`YPDeUc%Om;uP1KLUdF{a_>aJNMek92!F;Zc8T_UH5=AQM0c z^Ewp$#t6HFr7uXMwV7h7oxl# z{lQ&cp9zLoZynG!HkS>QI*2ay9n`Ja4$0i^CX_1$vtWaoDG(xKXEv}>#H|}yKV*na z*vP;|#=-Y*X7`Fuvzx?`RnYQlQrdbG8l#;9RJa!hN-&z5qx2+c_Nf7(n`?-62U#l? zy|;~I&oF%vv2UU&krjwv-@>wNr=b#X1=5Gh$tAo`{KEU4m!s5ml)JaG`uOvF-gzst zqQ?B~t*ojlWi?4?=X1C+t^Nm)U{=kB!Rl>tUVsG9B)w;kb}i~&XBKYI$m2;pq{aoskSm^=k#WQ3b0`m^eP zj0S?{Y3Fc;IucoY-HZ#LgyLc z{GKFL+g;YuQuh_@VE@_RJe-o2=GSB_MxN*AqAyf4gwy1qms;b%#=&JqVuT=mcP}k9 ze2WI?18MQTnN+#}xwqe9hj+1RQ8m;=5=6r(!Q$ZF{p=;QI5v1cD?!2nTbzpTJ-`xp z`_E|_UZdfzgUs9cL+ol+5Ki$pTq6Xxt1R)UXUC)VL($9bva$}75P5DWG1^m&BT-AJ zfE!$+MCTVsyOZ3Zt)zoqX#;Q-rlGWcV%l5Np%GMf6vsd!F6k<2enf^G;%AA|wfx-H6+I2&O#Jr?bXRQaMGz5+_4o!7jfhRWLZ3s7 zKYs<3=rpk@SLj?&FBGAg49OIz!^bMVrD=%wzD}RzN3YWtV+G#VVeb}Z>8?IiFacW72@^BtOmL45`Gu8qC$1Dy`#=@|YI67Aga3*8^P{0p5b z@R~n?mM-w;AJBS8%@;m^QKl5z^MJmGbl52g!T*3d!++w4i}B`<=zT&p;)HUkX2K3> zEPR*NNIJy*SjyvVF{p5o*a<8>0Avb3CISy#6!=jpwTmT5Ak@a2GigHX3WLv~yZoF^ zbb#$Wx31sath*1{&W#WfeSHniJaoBYl7dYigjJ8^vcE#mcNxm+NI=JiGep^XM8gs5@G zmqg=Y_S?0-Nbf4lqjwZ9q^Jg{Fn_xstw!0A(qrg2+UTADTsaVjsptn*ZQ#5WXcO=N zcyV#@GU1^km8?c&7%KJhT(8)OJDgIn{D>q79S)){U?J-jk86L+EM3kT>5ieVg{aJ< zF3FF_z%9!qWvfSIO+y-*t)UZTe%%MoUAMAy+PG$I=b((Ya<`XponN%&ZIV`@d05(x zJY8RI3CcpxfS_!Brc27En#HL8$N7fK>=>?}*T&Yet*zw~b6}(ps2C~o?_I!BJ7wnI z`Ncflr&)uAiZ9Sascq?zqGx$hK#XT^+=2TQnP=kPyQSUifcf>5N8+picLo85yNfP0 zjNxwv#b@mCAWEXH#byZrC$XA=;y^&=@jky86h~$SV2J`Hh9nH2=>b(tf(mXJT)1GK z@&fpJfI0oOMm*?q#CpYxy|C>vDk1a8ZIaoSWNOWTkm{u^kftO4eONq#-!jCuM8u{v z&I+hzH9+b?O0#vT%d6K(U!j;j3VP?lC=iT`HA@q-aLoiOsB=ief&H5Y(G9DQshN#382vS{w?U3XJJ78-fBiUikx=5I9T#Y)Q3$P=!(^@*i(R z|9B$^He`g2WH7cF$z7xY;3|Z=#^+@v*)l;xx2#>cR3bekbp?Wy!7K=GO7>@9UxE-% zgnR(H0SZicq{G<)MhQTa0fq&WfT9LywDJTBG86_EfC-0u4V*mC-GMjBfEXi`XU2o* zZcxcG0KP|&qXDRxGASxA%7ilccqaTPYv=s64qOYEQM*`~4{zb+X#}_+Ar6iN*euFL zg36E=OOSq4z-NCwD?5w8k-)iu!8pb>6gy!SYzv^Uu$efZR%jHhAB9x`=y0G_z-9l} zi}D4O?J1u?CP1I7;IDRVKzRS}wJBVSf7bSD6k06CAXW<-&}aai2KxtqJG=l1qjoQU zzt*m!>;)DoFnD$Cc~-uJ8fHL$1)G6K?Pr1E0A~-L{=1U!uSvM>wG9`*cyMWuLJLt| z;p!>UrZu2?r0fH}rSeUctpZ~4p9g$3Xhg7c1a@`*=V`zP0zB`Z)c_d(e}Dhq1Ax=} zuLD3V16KamjK5Cyzviq*!OX>C+tkSj;!Kq!@Q*S?f7~wrn{IbXeeleNT-wUwa>67S zD-I)OelSC{t1|V}o@t^^5DBhHm1^n_&NqyPHYmiyZ9$bPQZeutI>#^)I)Vn&{RA7|>-loWr4T0mN)oCJhmoP$ z>@c)f^ADra2Q6+D4Z?=SfTvq0Uq;u2`}m15sHqvap#!ktTOcD|DBdQ#-QzTQ!8i*K zhRnk+q*!=+vXr#~X?(+w_PxC*yKR&N$Xj4Kcply3AB`5z;k$TK>T0%%>>{U0 zjBc*g{^W1sI zP5&DLq|AkXwKNwX)xiqzruH4oMNdDYe603^|Gy+r$4R?T`efaDnm!0D|K^cK_17bZ zPw$;A3)xb01cryB3&n40 zRvG;O57of$PmOz-<)c{qgKFoH)XhR_KT?u%Su*KB)?6oDqZhEl6HVTQAr99JLQZ&q zNEp^=v^o3%o3e@N~x!3XsHVPuhT0e>L_ z`Lt#FckGtD96Sq)#38z?pmFyI9x<1&(k1YcI$)JM**?Z)aJjX5Z=yk|8GaZSd$W%C zE;7zCUQx>i*`PKsOF^7WP5f@Lm>wGD78*T2J#&g%nCMn-b_=K6!a=t%9kP+aN{?{F zBb@RGJWy9mltx+fCsC6L{9b`HS=#nkB$wZ+D`wz1aok-3vC$Y_ULuBVqck9yZ2-Y; zlL4qIAWC5{Xn_*WyOxMq(p7J*v<{zCA})|VZ?prs^&VbQDz<8O6_G{_-zsixj>}(T zr!(;}SK>C;a$_{B;4^$$^_%#+Ts0MaW2gwVJ**a`aB3uJ0}F=3>6h3ELGRF;n8}(u zNZurN^0a*RoS;|hO;!_IYX6a+Di!k~wZQddVt_?+`;l)+op9_}9qC;}#^Y!C%5t$E zaT-Z1y+S-iaO3AWZ7AM=0nfdL@H1(X?7^DwaU|pvZX%h#A~l(T+>5Z#;k3{#2HEs< z8;D;1tm$?MHHX^*bs)GifE<|xSW#xJgrNXfG7P6@XFkB!5qU_Az;JDp%DXob<9Tv@ zDX6-cslu6Yt<6xLVg7xkWSI2eSNvfVt;swoFei zE@e(TGh?Z%RLYL z(m^PkTw)sG=}*2iNHfG=$!5cRF=HvDi}nISxsh!+%1SQEOom>#$l1VlkgsYcmRhQu zUFx{+ki>yPg9iSr(&yS|du`yl+DK{_xhjVG0ipc7N*}$iZ{XewvAf6PbS8WXsluEl z+sQ1`Fu{G1_o))!mUiJ;2V0RP;jPP%r!Lq6E=FksTx^R7;bmXp0U=OYFa5%Njf%d#u5v zXNQ=g@%~m0cZa)T(~$La26!BVJ_^ao0@J?+-Pw0_&67{^tmTAUnzVUo)_p9%iZ6Ncf(~4Gkxo0=cF ztF`25G0!m$oghy?G&?n#)BcZ1yZb(Grl!7jNUgs+GjBlln_?RIS?9kP!?QHHO%+EYt!>FkYV4 zPP9f(7HHhg+$O1ceGjAkhP~(j+ApS7)~%CyPdX{}PrTy4XBaFNrESrFh0|7Z+D3{` z+GD(mUN0ShI*d}C5gksKJK32M4JW!%zeA}n`g|QDo3x-FEPU_aP1;C4^LXd~#o2p6 zNl~=_!l$acx_WZj$vN!I?(EEl*}T9ea%RaH1Qih!#Mg+rsc} znw&Tj$}_{!EY#*U{t><3a}30f{ka}fxm(H;oa+SN^f}^h%h)F^s8e3pRu%IGW1Eau z*z6WGDdk&np~jtTvDc_E8_Bx0R1_w*sC%@a0b~}@j;xFFRq`dGdm%rR%SzRPBZ;b60m zo)Wh=J9b8yI1v{XJwR_ICq0D&5BEoznc(Q6(d0P|RppP-4Q_naCG3r5ZA8)5O`P?^ z;nZ;0`p$DY10O}-sZ16}3P_cgM{!MhGxi*$Hst~hU1=H=K@FYA|Sca!*?udzgM{&28nxFW$ z?McJ&R6L||b35`8Z{C$50E-cLSjY@P^=(eBAs1u@k!5x!#j-~k4Tqx64((9(X=gGJ zjbJZ3lNcJ!GF~GkqOg&hs8C-x3B0s zHUs7qm9earm85F7FZSiIMz4b})CGB^a20>Asha&IGAPgRZ?aymlN{E(GZY(Upl&SV z4U!DP%kADEne|7BN$1gMH9hPtc#cQ&x77o5H;l1s%5AvCZ@AYBt`3kUllyVW(@^C7 z#IWihpV4F*9<27JkJMzBxu$T-WusNUz{|c%!gg zYgH^o*}KVFnePRc`dbe1mLx4z5Tj&WJ6+t553$p4lI*5CJvv3c4LE6kkX72Lkg91_ z2b6JKzT%u_vy{O({vBup+JHX#-I1|_q(>d@U^E)~27OO*icSbCV?S|U{Ok^FvBAaN zG9^3@*>a9~80t!sQul!f;UxuBwF@H!zFx0a>%K}K?Ea-Kkm*S^XD7Y2itn`ql}#}$ zggdW$sleuRBN>ios7AwBZb@32%@&ER5-xF<@PDr2r}EKcm6iR_jnuYm(@fmdB$x=D?tDbOMc#SY-5Oa zEqXI!1pcuyt2=pyjo)gNAiOw~JKz%9Kx4ZJG$$p%LwgbrNU}8PNir0tOYh>I-3Fj( zlK*^9(hKSn>`7137R_hP-XU#Wr!r8mxUBXC@uM;P9?-LUDzxgm3MFrhA=7VWp56b3 zvsYevhk#4mt#_gJjw)DUPwG+b(5pTq(6r?^qg1siaqr_in4nNRpbG z5*0s4&i%#slzS{oYJ6HbhCf7h^EuUr;CfXe&IAw(KE?ga4HM3Zw~;< z52nmgKbB1a09;nj15jB6&$~4}Aw8PRuJoj(ASce=dyg2(r=ybefYLY~EdV!^Jn!q7 zGr8#d)thwvut&*Eu4!~F*@=vQU@$gb%RwP(AXqT9|B+TniGcqUnn}Zz1;^3Fkl#zq zlf|kNG&9f?Qe3b@Velx!1N2M9W3oNEqEDxamv!ICt*#m33teuTiFP^&loxE|zDG+zGqCl0G^5q(xJi}Gq>NSTJV}2BIE}79-XA_bJqcOw9Hl z`mtfEY7_Uwm{(;rI1q;%1%p(c+3fzuqz65nflQ#U$+REPAkQfO8O#5GCIZ)_(+AWK zJ&I@l&$=Ly3kkb$OkYa*u*kE1%LW841Guqv?g@wns?7L z`-e1WykhiE!M-8*8EO=LE4f`>-IlSWwQSv|B*}FfHCbx})r+a>{dj}P;H+tP+iZ3_ zF!f3fD3xsDhcu+0l_&+In~~D&G0W1j)@ZM>gCEku&=cDLGy{-hSN@^{dp$F7axlCj zZU8PSv{>U6LMfM6%11P-*)0;O-s0_~k-E%1#)94{+kB>_ox14Zdx!NPvfe65DX=U z?OSm{>JKH=d@+4LR1lsF&jBcM3OrML6%-6Y1qHjpg@yf5q_-wTGZ_36HM_%_G)?Lb zCD$5cR2zLvQ!+OwO(+b?h{&@(J~~zGvoze8}d) zIk$ssW2^>RVNDE-7n?3MMF-GD=ogjsnBP^e=T>dj3ME%Pdl6hKg;)3inqRfXoV9U$ zn92}R4?`s{eaX&Cs7tEnQl>h0CtL9eb!DtG-BJJ}Nbn*@0`^d(CF z+S^Z_WBb}|Jb)T3HXh(@>(Bx@yZ;F_)%nwR)%XH=GvB<9em5-D2L_=Hxc7o^WFT6O z_j$h6?F%Q(8NiQ@5=>+fyqk?a!c`Y#ZfvZ8GKUWEG#%WPH@X4u4AfnQtknI`9I5JbQRDcBu4~ zBx|p|<$czuFLf!G$j+fTWVd2EDxb#Q=}Rr?k5#&Z!W{ai_A7o1{vIhEez(oTsj7+Gn&OV#7YC{gAx! z*kKM}00vg2AAQ_rE^1lxJ6z>Yb!7`B-0)) ziOtn*l2|!cd9j7^9QV$8?M=-oSJlNbfB45l&k*fheg_~FJ4v-zSCs|q)Be;0Oon5F zNs)g$K8y~NldcNK_nKjTu>XL|-1|g3U*2^Gsyl&9msj1(LPJOn*noB%LQJf903~T- z)4bqEk-LQK#WnM42G0||a6Qn$VeioAfr=Mos6p(sxQ!#BG`(@rMz(DT@ig2Te~0Iv zUa_oXXMBm9r*Xp1TGWcS2x<^+i}1K~Z+x8>_#2Rp$JG!1kJ%dMnRY1gxG(YiNCY_( z>5Ez64kai+|B6!!^5H;TsdbGt97^oUsUGRbL|baocsVN>NKH~uFq91BUxQ)+Qw}3J zNzcQ;qjPe#AWdoKHe(><`MDpt__Anx*$|0n=j51f5Ur71Dbr#tuLj9Ns7pbX9|U-z zI0EyKs)u91LT7mgI0?geHf9+4u*G^L_@_YifDDP~RJuelRiRZRNph^9@dMJ)KwalR zaV9Rq3Uy}5fIymu^c9h4?ICgmloMeyV|=q;Ks6C&Ua}tsQJd;)##(&A|CF>U3)Q&| zyaZy7F4X07b?@>3u?C$rkUAz}0`MT-srLXhh5nkIjP4M5Op&RWU-{l}_+>$T5o)f@ z4UixiL23$}litu>jqU36}aU=sp)TTZAp#{#0cOu^3PNyuKAm6e!Tpe0R;YpSMraqCc!yUsd8zQ z$_xO^=+zJ`hRP}+N8OrF3%B8!dko2;w+*_ZXr_X-7z0t?E%xCU(jv4*;Y)4tROwZ# z{DmM-W3$_A10@}d)rnq1-9(%76mr>Z4HmNFL4H`*(_DdNBWdMtO4x_4+S_QuRCL7|8nYPrjAKA8%G-w#3TS?RH zcJB>?=S;#RrCYuqvBYsC1rOv|lW`=qe5>lIOp0VTqM4pZgXDa`^%OU2mb{dEqFe$> z|ND8n%Vk&jyC%AV_Yw}u4R^R)S#__Yg7ag(^-XwaP#nJ#a7gz&L5=Oc)Stm+JXawx>~C$F@drTqi7SMdOVR;S#3PI zitG>7@^5{yJyMZQ`eicz`hOj6I+fiS12#kzB%bQ2jhfG3?I#jf$pGLz-!LdMUyyw? zGp%~e>&}hF%spKpZ_*Xn5@8pv?&;-LSgRc`dE%;_==VV;luSe$@hMcQuc5h~aGsTq zrM1iZIsJ$2)dp*Ka4S%zzhn3?KB4(EJ95C3&*@+& z6s?~-5a&nQhufz*HlusA<}UpZ2qd(XqBsKSZA#TR>~p!Co}j15tqZu9;Y9gd?9r7t zbT0vC1kmM)WHiXG_|~ItKjOePkL@Js^3)!E!@o}4gF0jm1t_}D7fY-XDqtPP(Hba& zRg9yffE<}Rp8A7lRF?XyUDMHEyW^Q|m}>xcreqQdmP|&SyJXgGS8pWBtKYHDIQHIn z>M-35c91`CU#C5bdnFFyXXB&XP1@oDs~Au7`NxVHXQoUcX7*q_)#;9?vP%=Y4iOy= zxiiOfMSGbUCeVrE3}djuSeOD(M@Bj-e=+Emp|51`$GYb|WppA0&l9!5E}tw>uyRIx z0HgSPB7ix5Vfz?qEkUH*Q;CHEaNU!f@^1G-~&Xp@ZQ|)wg z*kj1jJG zDz86aiFR7f&P}16(P35vifCve>&>VUppHWr^@{Uk6$mx$dV{TC)UO>7RoOEQAjPOD zs;&#ZewIC&L2~jQ82G%ep$?6-a2r-S49KF+dvibnKLLy^VTo67Cj~Y@XuWyZfHE6~ zX)dt8u2MqfDun#kPi@P+zh?FB%y}v z?bAGRp8}c1?(hyRyaVvyq$6tCqcVZ-^RDVG;3G_#MKl-){flOi0qMUuM<6YDpjy91 zpN`O|yPuY$#Ik{+6l!E5M-8MpOBG&K?r=2CO|Ijf+nIMdRO(jgS+Ch7{Q6UBNi-!^ zY1uu6f7fUgTFD&AcQF7MzTrNoKMlAqZ1#E&8w`5*XR z)2DYUXzB^qs_$Qh&}kW2;|lT#SQ-sx zb7#?vZf8_mz#eRt>^xfLxWO-gqDP8vG7e=Xrmb*&r_B8U1%tPY*SLlSQD;H!S{%zL zNlHo nWZky@Bs%Xx^qrrRV4%Mf~JVcfje?K2lP?0p__`#IoXBXkOJjktHuu!4Cc z$+Az~>$q9M;=BEUvB(2gK;6NpdGB-V<9Vbd*=1F3F|(udz#D3+XSMb>G>xoBf$p2> zL+v2QHjV%x!-9kOs#sc<_x5Sj9}Pf7mwA7$x=rdgoXfoPiPbq+3$CQb7&5j3=Wx3s^Wnh+dZF5CQr11`{}IB0+QNr9njqK{Gmp6M`4m{ zD;gv|pc7OhQLVS`DQBz8mU3?{<$O(JpaPYhwFA|gLOe;n^>jRbu6zy@$K!Y*_+wqd zrPYg)YfKY&v!e@$tsHpzj^?#$JyRFnOQC{&=Nq5ASxT>~%Q3>Ng*v zyawstqx4l8FlO)4d$M~1O7WGexpV8C?0QSodj3?2MNjXpY{rOQ9MStY|)shA%-; zVj3!23K)v-RaezB$#3EuauvXAV3G^wF6TBkNSvFwuK5sLN)+n)aX7Yp>!nm_XkaI^5|Wl3qzKp`EHa}U8|Zabj|Uu;I6A`&qjAt<041sLVa7`A(h5t<1Z^Lp>&a_oE9`= zR&o%OX|SV6aa~~w?UOr-Q#(Gz!O~Fus$+2Vq|4ZGpQb#qJQ64Ir+{x30GfJDE*1XT zaRq=2Eabv4oylEiKP-U)?RyL9>!=w!wGiseDU}TuK`jlcu_qSOQ;IPe>2_;rQ9pcH ztX#eXl5Dzl-Ufk4HI7RZ3OPO~^c})(Ev2cp)23_qvp*G~zIr5TlKlmrk5O_Kt+xD& zp)7S7tt#JTI&2dTB2-?%dM~53&?#2AjC$!YEx!=)XW6A?v}5V-P;g1?yviLrg~P{D z)cLmOjX+{zpB%Hz_q}-wT)hL-UWSIDKAsIYrR!N3S?@K~FRA{_4E8;Vk{|dsapy5PQ#dT1#RXys(k$qd|!Bs z*C(9d=8~b}6jkjjsL}Vb;rwOx_6nL(K2kZIn}rq#f%No|cqTX0Rw+NlP3ISj+U;V` zOqbu~^90h8s@2JDRwc3+oXPG*^8L5Dp{dQ6aNU=1yXai>N90NRBuDA$X`4`bz+*An+P)!XF5>btN5EI- zPuO^pnMk_9)mg;=HoA?UqjqxvGJI?`9h~(Osu$?uEm7MXMvb9naryNe8 zDgZPyE*~qdfIGxUv?(rtW6J{R?ZTNw?5DLfujWjp#A$0|ss9T%8qIr^x>Av5z#}+r zW`eXj|SlIwgf3y?2Yo( zCor0Tc0pfj1~jJ%LCoZkle-ADm6%U z^Oo_EoFX`q&~)@LzR?V{JATIHo}><)W};-xS ztK|=?HVCk~2G7rdi~rAc)D@ol*LSEu58{%eZeap4XQ6rMyj42Mz=1l|iawvsNxfT(V`nUs{Tf&^@^OAu?F7JH&Fmi!~iFc2lH z^NPA_P5JutMd-OzY7`Op2vQq-_ zjKOQekl9gtDOwj_WQY2Qb{XpbYQ|#LSnP)KFVX$@d~S-tw;YX+Pg_08#1&|3eA<;D z)2>8w;?qWNY!djGzO?aR%mI6^>P|2QoU73&yEIqdBA2V7S`we>-W)I(v+evCiJfZG zHdu?6$Cta`0n-%ZGhal|zpl6Q<*+(Yw+`)&ueIxJ{^IrMyZB5%r^(jB>PmDiK5uX& zC4Pf`i%%&{EL+gycmqh# z03C2Enqrn>JAEZel3JDv#E*k|>7D+BcH7W~_`XsKpg0QWdlG8o*bbeJWh=>VzXSD$ zJ2q@-;<%mYhLNY$^y8tS!XiydtXAeO1knl1v9gW4!y>%&o*xdeNry=?{RcjtEW^PX&^Mb2+M?MR`tf0w8_h7JPjFvKgR@yKM9ew>wU zq89TBH1n^+Q+|s!#wVR-*-6%K6G-r%LW=~xK?8}ypQ{Zyze8ipd~4X;oD(r*CnA@E zWt?W)H$fuv0=u$_me!k=ku`;ft`9!4ND1-i{32{{w)$B+N!~*5t#-KJDyL1Vp%(9I(4)n`Kx#}b6d$iiY&qY_E!-`Br#nMRyT>~{Lu6r>59P77@CK$&Q zAm?yMBtwAuIIkZ%j}AEai)`gClI$5*lu)9yUqI&^d{a`Sk-mW1n&zA%l?&8|{Wf-Y z7l~-($^@E%zNJ?=3@1UucGMBaR<7I*<8(M}mwgB2l)m^kU z!rE1A{C=_}Rb$_dlyhB!N>6?aF=l#@%f3UMp_fx;^X3#wjOd^}zRSorT zg0j^$_jYWJr8d7LvNii@N^ra3COxIvA?%VhPPcmNS=~cmr1_`lnGH91G>T8Z>-|>$&<} z9Yc{&cM#9U9-xcSe^|AnfV!E*Ivu3dn)E|u!0f2f3re*h`uc>gU8Czf{MH;i1uX~R z)V&y_;`B>#jgzF-Dx_MBF7tKAatl=xgw^`cdVE_}v(0C9E7a3ew*-xQy_oO(f^9uY zV(jKYYF3>Vw<5z7Y`20**^f+pj6^Uv0;eCMiShv?*jV#Kw@~v7Yj=p|Hv0*E7q7xf zk^wpb85J@ep`4o_nIhc@l&S=vIiR1>j6`YHEy_WoQt1(G>*V`T^lhKVGn`g$JAhn3 zWxET8*i?3hx6NsG=@{JNH)_tJF}ScF00SGqrm9=$C(s)IT)Ob2!R~D+RdX2)-S`(& zsWKsh25dHnqX8nRjZx_xv|Yt7lH?5qtC6(1iXO|+V_`Sls+@zK(anIvGW2fK%H3@+ zYVWObO`ZOJ@|#YdGsjaL$XJc*XE(LiO=3Nclc4yFPNj6-Xma5+11gc{sabNCL;r*Zc{ zp?wRt1h>dsufg(XXtTtV=nl^iJSS=5%y*DMz0an7OPW|ONq8|>pZh|89m*={_Q@%nwLj*5 zWB0x#Ci17D53mG;lVk(>pmO_30?dnj$i)txB7@2=(Z}cnm-iHT7|=*ZD^x$=D+nyf z0j(|BK+8l( z)L@v{CjN-kvygf+veeW}hVZbt`YMFh-=N?5pE@o(^!M{LL$;&!e|c#MwlV7}NNVs7ZUxv!85 ziX#Jg?S5`*<@Pf~&6Ru%JAsE(=7NVrart}301M+@CGq7_k?FtdfWH!-2Tu%kcB|1%}k1Kj_b zi@y`*^HCI z;9X;(P-f(WXcovgV?OGI;R*aJ09u*!jll*6=A;?;Pnx&E(+m@lQ}DA$+u2`j_W+n% z((Ds-&u>B`j7W9~dWs(SNf1=2AV2*FdgK>EU=0nkLpXycHTfBODoG3ic*Yxp9OH9z z-NBR1akQgeRHe?8&1Gd5Nm%<~T3g7HAmAAy;9^1aJp3X_FMlbG-(c&n$*;U0l6E}} z*_v9zM6Szxls?w8&(tnlLNnjr0r*|$4c)=Kyv&Wl2K6ECzW9Z1vEZG7sOmzS-FU#53^VIE|0I=U7hywgO-3Ps^RsrL`4?{!H zmqMi75w5hKW&^u_iDZz;=E3$+>^Trz$`_?>dBrF&{*!$Azv7{QXQlLjD;hk)|C;JZ zzD89e*lccQHurhA-fIILWEmj>PdzKDDg?lTdE`+OTt z{q!oze~j|Crd0b%9Oe*3r?&fW5cFpqFB89NAYLp;Lmm}aBd=j&E|V~zfWKjzE|Y4W z$-rV>&!r8)TOqC+1h=lq;IslaElU{6Bt!9Drn^FFqC2eJ4|LI#ivau4R~BES4g|6_ z9j=kS;;+uPO0!D`n%IR))LOp%)fw6KUl(GqHIhg+(zpEQH2q((ZVJYuJ-GSf^v5>U zK+bLN&z*)^Qoz~}zK^JExllO_4+e9VTYD?NEoM5J`zEuKxULhf1uLq1uVU?;1wD+Y>Cs7I{e3= ztve0X*hSkV4QCy$(2vPl!!pGPcKQnS1UDyi+XaDi`#D_MYCID6Pn3o%IyD?3N#Ian z$x6d^IljUyS7}!1Akzl^D?CbwRzIWKEtIW86{-p>KP`VZ>!~s;vv&6<1%Cgif)j%6 zuKk4C?Mf*~|HG<{&f*RzwsYxQL5Xh?tNSDIw^~M5nHFjfsxu;);bf)CqptO7ENPZ{ zE0(90*4>OEH6lY%+8bE|xx{q2@_U>Kva?fAVev!0$!BK;i#~rc`T;>EMedm4AAyo0 z<8@c@*Azs~PG6<3JA$^7eyF5xLrc)^=pTJ|759v@EA2`L{5@iguTfiJ`h0R*>{4`2 z)4Am(Oa@{Idq~Mdu}x}h0eOLH*PMll7YIv}cGF_G2~rX^)o$;f&8-BFBP zqu%n-crfOwf8Yr*6dNM(FzFDk!D%jV9%M3J>*)H_^c=h9;UV-(begNS2(KaYgzs=A zUW(3ftA#g*;9BRnf%qn0djfhSJmFUe8^pVO?}6?axbeGJfdBCy&a2kY!KnUW@IhZ` zUFKHW0pRNyga34Z%DB5ZvtFkyp-j;GI+XLqu~FAyXf&R!xK7PU6Yy-%3fc&CcNp`! zC*l=xsiS0B1nm?iAq}nfO%SnTjV&fH{kwTS4Wb-4oppJ_x@Wt zw8~AowaYWDM+t(UAXfg*#qf6`yN4*ND}she{PC{@cYmaHP=)lg(wNjNx065w`dIjb zykfl3zG|+kWiE{@jXk|dlUpw|C`7qZEs9#5QUyZN4E=`Iq1RO*mCD`Oy~yBFx?oM; z38=d)MW&8)i7Ym_HMv6^?(Lp3 zqimKKzHI2)d?N2OJprxS$Mk1@Joy8i@T_CQf2L9G=~UNCMc+VTSD(-KTKx@}ZM#F# z>`b;56u3@d#~id06a@6zUI{jDnr9$C4KsR+&Or^>;#)K&>kc;(p9WCmPrel-rTZj2 zG?6z+T^O-yWeJEl?FhvECgVQ?(yhfWFfZDf`V$x~~SKha6hhKG@<%jtKM^BdNt@-JPKkF*x6NqwurmU*$x0qmn{-GG; z!R`{X&z^BzlT=#E6V1xnMlR#LwVJQ+Oy45h_+(Lq{{4?COn} zeiqr0+q50N1Kx%bQHW6_&NmKFV;NX8@jv zMsqCB(fci;chE0fwT1afT?^9(LVkULzOd7LZo6+azQLIX!uW5OlxY5%?Wzkv!$y%E`8#3)`b)r#WRKgP;T{Rbx z!FzR3((uF<38a5%+e+o0=ck*LP{aGEjW3`v#JTHI+`O6`nzvTfnnviO7Dv zOS6+s6+E`;)Cn?KW|hp236PvsBn$3HXLU3!xe)-?U4n5q+75MAR^uM6qZpgDTF`;g zz&sGb7mZl$TJsF;R-^V1iS7O3C`mEGU{ z;!7B-CCFjH4E#zM(GE(;DY4p}=ArDU0-Q%xP><_)pN5^EJV2k-`8ad78d}<%)*9n1Gx1Z#exp%zlC6G3>Xk#L6QD_a667_T zKoyM#he!ovhf1NQ_DWi{>0aV~sQw*SJIQ4`3r6S}K1f0jxx&l_Uaz-L`=4}I-5Ii0 zv@Yf?JyHuEa8GQGgcQ5dZ8YkPI*Uo2WVeb|YnCafGHAgxWvd`_xs7I}+HO{uHE!16 zF~C~(RGA;C#53F$xT5;zMxfVuA+oxKYUYRud5b(Px67O8}5}gV9-3 zV-{09rd3qmr42#baLvMo)!NU`V2vMBw`XC-Yi;4Ta&_zhuj!o*b6;vFkwMnO>@hCHT8uE!+cEX?qRL6xyyMDqlShv9I`kT=EWukXqNI^$znt*{|Lp$iK?n+9+k zzk3@84y9@JG-){t`P#1^!55LdS-t5<;Y!?tiaLS%q5LwxRCAE3&+xMW7(lu*&vO#9 zzaXyza?|7d1Etppd7Qp>HEVjDtAz^urKYmS6Pk^1pBmK_rI=6x>6pkfMoy72R2vPO{D{V@0eDj=0a7(g6=$0m>k z07^fYNK(1923$cYIAa0~P5~J@Ng@G8Vt|R`E6=?k0VKZ+@)N*R1*;(T@+BEtUg=dy zyj+*j1j@aygeQok0Rg6g0`Qy#nSw$?1Fr~J05(9N!2@?y3hN;v1q)2MD9A;B+-lSE z|FVmuzxOd%3=EKg*uPGuzbRo62Z-;uWyu<$kf^YNj0SDGKgodd6(F$y;6yMP;z$%z zqU+KR+4qLcvcg0G_zh~J*4p5JNX$gkGLT9avtKK*-127s|_5BN>P~ zfXNalGGv0AkmAjc-FH9&Uh7tZW2Dgpkpr9@pu@^_5Jpg1+NrJDB7!HKG;@;sd%fKN zuJsDQEIvYiFH(zj;e<;Mg#b>jaJf@Xi5nLeXVw3iQyM7@bi}8V4+^@p*?5Y;AHi0- zPM0mEJp~T>0R=w?PZ#)|D87sMQo{2ZzS>+CctHcgu!4)mVgpNs!D+2U8AG6;+iek- z@Vjo8d=yb0mG1j5W5gA|(RW>nE5#1^sY!eIMx(H+-81)FM3aKW5LT{4=J=#40bgUI zkznI0z&B_a?39cYL2QNHeL?%{kHk)@pshipg#(kcGe~9cmvj^2As`J*P802D(&YML zDF3*=O6ps6-mbEq?5UPj$CFVw&U_LRG98*OL?*N}zj%yLYanQ?3`D<1w$kN3v%F^2 zzEu+Evthi@KzCk-0O)X8Ac`N?Q8szj!ST*ihC_@Ct5F9 ztJi-2i*Y!siEpv|JXhADxX044q$U~YdHo-DLUIHsQHde_YA&}Z5%`NwY4I#HSho~U z);wp&k!VfYm+%C8Vn4}>-^70MING7~rtq=Gncy&R3e9MldV);72rkg_W$Ydi%qd^u zdBW#9k^y%-87RqQoj~Gpyim}Clr<-eM6%mdeUGZgd2O~ytRV(1vvaZzr3?Iqbg)%}O;NvR#|$*wvF&?D6~;Q(s18$<(RhakA0gXC+d_`5y( zEZdL82xOffg8HrN565bqQEuYH$@Y{g_zo`9j({xo&kz!gM8D}-87IcnQw>8Q{pbp= zz}GC=xs~rx;RaG&*L-8D-R%mh`Us^DV4Y-w5sEaEiCA0pOKd7qDzwYE+gL}~HklA6 z*Es)^9QLzJi266A_y<9&^tLV)ccUeI_kH*W-2FG)eG8B^hH;Cf1aM%KxN^G&vk4xA{#imQP)>+i@CDxE24I7@3S zZ@=$YV2IUj93D!xa;xx4@JMcjs)I)uvZZK(s$S#7D@k|BVc|8I%G}(gn5p@ADQa|+ zeWMU|{h2V~+lY!V9*hj;d&`K2S zxmIv7txlL)KE^_Y`cx41g9{sU{|En@Xi)x>XgJ3GqyIUJF5tB=$n*hvM-N~kwJcd@ zg?j|a2N=0YAbIfd+B8VMS@~#qHsWnub@>deP#uF&+k6!<@KIu^od%Zm29-)zk~&YG zdsSx8s|&`SQ98e@EuvoMAZc zzH%miRgpGYzFk;P4hZYnr3ArP=;V#|y|x-?!mXA~l}o{Rg*-x%44NP8bIHyU3k z4$In{=98;c%XiI&q~0$1WMK(c^9=FjcJ(-7wOuM#h9eb381914Q0h$WOC?k4#el@^ zPuGi4+f&W=Xa|ha9Zsifnf?;sM;Qrsf~rE4y{#ALwcD0kFY6oZuLsTKrM7;D(uUcC zR0AZ`db*2nGlE`w?{@c4mBz<44O5dMDD^8m4Lo=(4kOQX79_cR*^(t~67yp_#boSr!ZjX&unB@7avwQDrClI>ZsUw)4&HJSJGY=cy12yK4#j=6 zjzw*PpG>w;{d!hr13_|IW~$HiwV0j;I@=^|p!k^ewF$w*fx>lexp2g`RJg$HgWOgH zIm}Pzs@IOyIs{_9*U?(~-g3&0n4q`a&HgZnouHQ3)-0B(zm}n+T;v5BXNQpM8@Ajm zMuH;^8}M34LAH=wYc*7o6$7V5;C{)Pp;}`T_6RG$++{}PA7;RF(j7Qp5*;F|a0;zZ zTV}V3AJNwFqINK?rbCJpVk0Q}m?1oMiW#{ehMz5KDl7WmtSgsRrbfNa6g>em zQV>KFs0<=qnF3QW08Z?j076OzT;B(++jfjM0$Ih2x?o|KYN*VJHuX!{X; zqul`tgf83is(CX}r$6|KmY}?qr`(ffNssjLh61G(DA{YyKZ?!@@BE1Bj`9t||8jtn z|1-DQ*W*vF$FBJ6n+L)D?To+IXYCf?UKjnnK5sW4_qyTlRo<=w_j=|RWu79L*HR>t z*OAFb!T=&ZyU0iB1)kC-b-jrblYnwv7+O!x$-cr1P+6&QBR;_aOEdYcHE0QHIucdQ z@n!ANoRU}8@`wS1_Ol*du^kwl?emIztDelrVTj~=_(Lwf$PmHze=dq4PBGma){kdDvT>cS0 zBOXRM4L$a@3!pR$W(_D~BlX=!2NcWr3c#`cZXbaL;K*0xgfpdmJ?O#2aLNJfaqmE_ zV>h+?VB_t^CFX0s#E zoc~G~m~vfM#SN5rm&1gwnKK}|ZJY5{lY{|>m}CpyY2rai9Oi&jzJ;|6h-o$Nsb0wQ z*Wg3wiRy-M2sO&9*SO|hv;|Fdx?F?FHSHMrWPDJ&1GU6Okkjv-!zJ%E zc*E1B_zeoE1$9%$D!;@h#HIK=+Cw%O zKRe9d;Rf(4IsGVkO3G$sB10GTX;+|h)n^-OA68@y~~% zzZBXOdTwb_tvm3%IIJqO0{M61)hf=a-i4QfznDY3%lYPsHCtAFAg)##9?Fj?hVT<*SNTCgk+GG|rtCZJiTa2UegH@D~HoSos=o zG)e(G^Z{&p8VLM0WNGPwg?Bb971%owu>v@4OdS zRL+K`LN^j(2UEp9<$10i2e4B!7g^-w8Tuju+J#BrbuWOpYv*vaNP{Am^$#$C>>;D= z!wXQ&2I~}>^=KddnFuYn0bQeB@&Z1|2+o{&*$;pPvx7gO+A8cf%@o{qWGexT(=cx~ z=)6yI# zh9--hzQ$~5nwT2RP5$eV=E>*%xn8&aSF{!RqBX|zN1<<%58;n0Pnf3R?+piKQ`yNh zv8lBJ(w#>@8bE~y67?4IG9{NgR@jY4CbHyou|C?v%CdyU#K&)M$y~tPI%z|PAP^L0sq6@Tto5V!WBvkKa-D092EKUPG>y6U0u`!UE z1~y1ctidnF*Ep7tDfTrk*56k)u3u2v5O5HxaB^N|uxiq`Y;LCbeehnggjh8R3eO1i zC4~_DS3afTa&840A=sURxxLWy+i!?$dX|`k_Ofw#LIV_I+HBET{v(%N{nMf^Ch_x8 z&EfDfcxIwwLfyrv!gd2c)Y=E3&5DPmrX}**$x=g9~Ar8T(DULlvkm<$$} zAp@y~{0gnyoFm@Bs5M)bFZO`^ZKbh5oX06&gYbwW`Z(5`RaO(Pn!S#AxD6qZjt41T zo)=)W2qE{HQXz}IEQCrQyr@z6UW$@9FJ6cM8sf+AL%^gHyh4&nrEU(C--IX(lm$LP zsqCo~nBE!PqG& z*-D5J5f(@jF&W%*D1j6JB`WY7zhsBev5aUCWJ*Z^WC$UR2P!56XyO(KXgQE=RmcS( zG7AdFZ(u>L5H$82I6ZLBk^Ttfe2|z-RxxF<7!YSv0Y7pOuVv}QVuA8|F};DjDbz)U zNgOMwAv6*`N#&fr(|NY8_g{duE(R_Qk1j!n> zqSttR!0NOZ%b{r0i_(LTj)qZyN(K2{7*RoF9M1qs5wg@!;!f_+qF@?MCoBN5TY%ZX zyFiW;CLmQPonH9yV7X-a4)2uoaDfF5BJdELLpqU{L0%N9Ah0_A0n#GMl|wBAb|2p} zoO9R>>>WTua5Ui81*-tg1Xm#J7pA2b7@xps1KJ4;V5Fpa{4KD9zorNXM88@FS!Zc$ z>1aUa7Y-M$WVoh*VGd7tk#<7(a%ng4sn9CoukgNq&qdz`hU+!NA%y7@uU0e z!=(@S>(fC*`0q(r37Or$4r(59#_s3?LZZoJaT?jNT0%9?V#N-WJVvnWLEd44?J61| zIA$x>$i)9JV!F>4DRvFFZEnzf5=5XvvKilj>p} zT)s+{uAT{P>!BQ?;sgg)o|P#r%3Nbq2Wf4HzX7Hq)d;GZKrkjQ7%Om6j08Y%u}-_R z|C6^R=*%Yg*FYw!WU^>jDae#0)hmOZqd?@!MWvDhkQQ7^qDl~z95hEx8lj~hfX|UO z&?$*rDMVKzdFrbLTD~6q_!5X3LJ~?KeWirP@c?V7R%>zH)~vL8A(Vm1g9J{egwXp5E&FuBnbrs>VuGqf?oi1nSsd%KXd%2hWEj5CAF}4 zYl7Abg%b=y{vro&f+y@tYQEAZ#FxPvr2R|VK+6HQb(nl|zRwO-kR911)fv zhZhl!AAls%*F%3#3LFB_uUCtu?f#mSTIN49aP0s3NH|sh{X{rH|C)mnB3(Rx9}X+7 zB}Q{@n#E@_QqTN{U@9&H*PvSFXQDM2)!VdQYfX7E_yq%M1pwXzP*5s4hdzt9%*CT? ziAcW$j3I7-mz=_-2JP8Gg^{w+wMDDxmRRC*+Vmc)u2u=$fP~NE+py)e#TmY(u+0fn zD%DA5A^?KO`RFa;b=>EF#JZc@O0!#+QPAZwXgeF|-T$Zw0KJqA%d z7pFd=-h?Ny9!&&a!eKCb=4jo!I>SYL zmNjfDn5*A#f6dRb{U}bBxNKx6-pe)q;IZz#vVGhq8?--@-JV0}3_v?-)pxae!&CZM zFcJ%Y0|^3q(B(}qTkX#EXec|{Nc`Bc3^i)@zu0>Z_^7JwVU$zm%$YMiGn2`bOip^A zG!h6kAtZowLi2_ILo!JQ(kG#aIH3xtbliZ5fC7pjf=Vg3w@mqwJB}N&Q}bv%y;zlm?Kn^JT49$9mrd#PtbFP zT%0Jo&Qmg2Qm62+3g6fU%Hv>vlUB7?xByR6I$?*bLZxU{`Q5Kf$Tx_Oc78=JS34ow zskmTyjS}0dy#K-y=cn|q;Vj%_gnd;Yj89{S%@D(Bba)Woi8(`GLWhTPDfZ?VTj)vt zN1eU9HS&p=>g<@JsM5?HPlyBO=-)^E2J?2y9Qz;ghy!%wQgFT8!oNUGTu;9POQ}mH zdSEbbx#uMoZnCt%fP=qM-|gaAdX1XdtWJo^jS3zRevaJh&dUuG&(mwcCXk0M*5=}j z+=HFYuxIU^ZDC?WSY)KlwgFrTR}SMcqL&*-f+3#i48f`=_*v|?%n9m7%uT9Ck8G17 zcn-6d>L1L!i;{=%8PU5tbdGmsj;zX>PKhUFiGy>Nus@r66{Pkbv6;?Tr3p>$n18xE z${EguTJtjsmV+vGHZ-D7S+6Ik)T7*|+#Ew(yzLa)K7@}{yaZ^v}`sLO#(t zqr*eg3$~yLU8c>@S)~O#W?se`g?(tkr|4iIAD4VHD<*EOZl3JCY?UF-xq!`xj_>v) z9~Or1;EIlqj_%sk@rU`Ivc8$e7&xj`JCq-1e#7t;oBu;d+&9$g>g`-Vb_3n{hol#s zsA(u~j@{lpWG0)*SEJVT3%w@D^D4)Pxq&dAo(|lnl zkVooF^K--bS6Sb8JREjK584HS9%Jk(V^&dWIK8u2Ca;$>d^i^9?HyTef)Xz6%myFn@7&!a+ zgb;=NtcpIN(!*^cz`34;_JY4U7T>H;C|1ru3b z!9yGvC)}n07iDM|tu~rXP6i&$GT^_Dcc}1qtfhcmK|l@73>-9gF|`QXCpxmBmc~tJ z^a|F|jEdl1Bj0uqs2-zMsf;1)^eCtVZ0tN{>sYLmLw6)j&&gT2f{}9|$bfjusi2iS zg=H$(zoR)5t>rllTwV(IR49~+%(#Tu*swTTgf2^wk@OPt1+7$W>6VZH7il`Ijn9Di z0%d}H0YZeDMK@Qnn&$Ik;g(w83(%BRxG5I)Ocal$bI?WLEm+D}9b~~F2*!g0T}}=M zM$vFNs}B4g^{h2pnNF)U8*@xkVIcEg^8ol35O48#V*8Jr^wqaIlt| zHG>;HgcQ@P2J-Q7Q|z#3L*a$zfzxh>zj2?(q|Bwip%=*d4Rdp@zls{pnczfCj>K=k5v9?`HA@x?rxGV zXHoK4{ukc{HDI`~2$UJP5SjlM%t9Br3}Z2?P%2eQrB$WSbq0J?g2KXpH4=h6V7BQR zL8;H>SP}ef)COLCL7iBuoXbaZe}V~h6)35Dcu&Sh3b@<(Q+sEP8ct?}6Ux`pA8EH5 z`bIrWedu^MRQ!eeGrhgMb6hr-0#Ue|i}0=0L=A~QP1zoy&&XC%{rm5yHdBM0&2X4} zY)F1DQ_RnF>`CRZ)Q=Rdj?SO;hnbuvYqR<(Zny3U**wb8Z9?aoqGN`c+*9G;W0BRN zs4I7`%ONODV~*r@Ns4Wvd@wZc7~fRdg00iB%<@O*kZxt6FVg+zvNO8G%x9Z-xVaet zxyge1mvhgepUSzO6yMyrg2T}xsH=x7_5EsD&%H`1&xNagHwgSJP+C`6lTX2Mqsleb zcfc8jUvJG^Bv);;9+4}zS^q6NMk$Y|WS3O@w<^V1mFz|9`!W%pDGpfq_pJOpld#+* z{GpP~Rm&b%^Xt^0oUD!DWzR?O8?}muIpK1&;%c$=|2sgF-5}oW(9S@GlvZr*wGkL}3VBv#s z*;3f&hu0LsClQLhD%n;Qzg;EUrINj*l7(>Ew5Zs;HQIzX!+PCB3&wM1Uw?aQ=AU8U zc%E`zhzJWys@u&LSgXW@XQ&}sd*;628NvlwRAkRwFw-AVK~$r4KHO-0Pr_%R9~u%j zLIityR`j4bRC&z`>fU}+9hdYk$rUzBN5?yKS>GleX2r3}8uNr4P&_PVVNg`}ZqWn2 zR4jm_aMPAi?}dc^Xf@}BH_-)isnIj2)IQ(R-zyo*5&qfq_=OazDCZq1d)1zMomc4J z;Q3zdDX`>sHk%Wz7VAx_LqtOCs<6)`d9?dF_P)lGeDp=My&Oc2qv&WkA3byne~JqE zH8Em4_cT9~;l8D!l5Wy_`2)_#(9jB7hP`7%MR2gCQ=BCx{x^1MO8I`>GqMFi)A@(t z{P|wX(s$Ag*)w#P*-J9Gs_Hb={m*du%y1M}!G|&@jJr`m1@Evtr}gz%L){yFQOFBj zWj-qpou~UAeEwEZsG)*S4qizOCAR{?ohWq_+B=@_;zK+f z2q=3{ju&_{7%aAd^BjGHwSYHIm#86szg?wgo9(qucg~&J^Qvl| zF+#P08jP4nm_dVfQjyW(Q7xRubiA7DCU~EwlHTaFfg8LYjhevQP_M}vxqzyfw3c#pOka!U z)pH59{fZ^(ud^=kQHPl?xPBwxD!2BXjz*i42Ig%;+8W*j^AKIb_YtuewUj3^)0_6J zW%A8nU~h`Rl$r~QS6xR_Yxn`O@9B$CEPA(ww?y4gbPf4}-_iXB{R?m<7*zL;gu!31 z17=a~sz<32f11)3Kd$N}9~AT=+r3w6{150CFBeVyh{Ogi1U4YE8@NdJ zhVBy{jfMv?FPlWBl*wj>FdJz2=XDSvUZ$Ak6qC-xF%Um1GR0Bf$kECM?wt8~BiyeI zVUP`sQ^A}Tn0vQSOf+*HEo|h5Oa2@6d?zZqIdmddj<05b6Clf(=PBkH_&<%#dim*a zHN)5j{uS+;Z2W*uW%5V0_wM9RGCv`)kvI9kQ$@vgk`2U@r{fF?nG&QN?g8p@2B46Q zy-CjnZEO(5dGHHC_zjSfS@ui@3`R`k>-fN<@et)Qyq6dj`6qKs*DMQr0o1_LwkCEt z8=4c6c`l-;iH?qp{Dpo(%`DNvnN4BAhF;w*yy{nanHrT&folnWLmxEqBk1!KN|?w; zIA0IyRc6Uq0H-+AW~Gm}{7&zHnBGFnJG&~Zd*JR8ea3x>ODNOU;Cn5W2sCjbKRV;E zUUw!Us;iisJ1o+gx|#}m2{fZOHTF3!ZOUM3y(7Ran11sCaqiy$b z0~Ot$b3DYJVSAoK%v3HRa%qQGlzBO(u4&yZ5p@gL&YLO25qcHvE=amgr44#CXg2*g zS~7``R{v&tg0@(K^OsPwRez#`llVmT0;P&XS0?e6uqI{=NMjIS55`1rGX>)gE$iQY zH6=_o*M{@sZo;Gt@GE>f6rwx*jh>k3(PPugOB6q&1mq;CRU2 z*=89vwXSs437r;ID>T& z)!|j<5GaR#sw;kpykh;385t?p1^+~ONa*l+OWCIUTG@kF$W|V-zjQ7^Ol?~ zc@2Up!*)}-|AxCgco4%Prqe)|0Li%Py4Au%%xhunPV~h6;Oz4(gWkHIFH3Ds0JmU4 z9vt{LZS=#;o-iCC6Q>D!3<&J32v+utboz|Z7_M7@22O)mg01R<5bOD>_Ne-Z5iOj? z+Y=Xp;|-H-jvZjOEMgu}BRJ;IVuE|P6^ofgu)Rn14p)eIE_#4xl)-k zPqoLm#W-72S-i;+ev|r+wkIz${c2wua2V$do-L}J zPRV9a)SD2o)V~HLJ-~NS0__0no2(}eW2$(7PY8QV0oOa5zmSKpDx<7tFOJ&|ce}#j zR7>ELh*fX|_{sG^X<^%j1-73RNv5EcIQl^Sw zK4M(UkbWj-*F9l81#G?Rae7YhB4+Rs3N7&QF{;b@7`ww3Hk-bl^ds5}Pa@ZtlM=&C zrY89+DmFBvlJAE7B=x+$1IMQJg>fyJ<4n|;GjTl)C9!rHL$YhDTw*#4^Q&5V`5e?hYW0x zlNz*~r#b)*Dj$NQ5l0S}tP!I#tDHTa1rhnYu$LOJU%iz}dxr`d6&EiXx)QxU3n=>{ z^vx{JL9IfH*^pX-Qf70GlE)Z0!tzNf#;#lj=T5>tqei6|K?(n&{_^i?<}*3OCaIRw zI8zu&-qpYlWf4x2e;;Q)l*4%)rIXv&_t;EL%I&Z3#VU-rHW9@O#Zs;E7+#jA^R-8 zXV}+rj#h*OS$S|3o5!`B<@0$|7A&IJCy{Fl(pkLI|KD2NvB&vQLOQ#Zh2giNBsz6HXd!{2a@dW_jbEi~?=-hi{~zMwU~ zGbxAQ!kFM-yE)htX$`fmV53sz(F>XI#VJuyV)xYilv7#PWeG8h=+v{anB4q7sk&cO z+o;LO2RhK#80Yx7xb8jb#&;U>9-K>%`Z_ylL`H6ZRi72|XXLvbI~3dK?W!G2X6C=y zpQxXxL#mfUyX-?(XY;XHi)ArsQKzW1^px=M?ONX}x?kyy%xt(=5e%6Sf1#2cf+%A^ z|4qz1HTx8GhF-(Gu6!N!nZvu_Jd=L&xn$}Ybl-d~OL#MF7zqyAjJD6`?$JM;3gj=C zt$~shlrk=U3lbjU#>?JKI3nAM8Xw}~)z880Teu>~j@^cyeTeI3Kb`(Ovn`mNNd?36 zU^obd)(1tF+2xv8{dUAW%+2WWSvusTUZEP;9n2!0P3y=!#nJIWQ9(gqEmrac)ca{k z&U97II72UEUV8|_if$h@z)%d)K95j>Qhql51$5wHu0p#ql@mfk;)U7N30ke)i4q>+ z3gvs#;(0x{3q9}%mu!ia;lmeb>OcaPA~Cap{g}m+up8}ugew^SRhos`b@X6tHleO+w*{CTQHQkr7e<*e`IhGD)v$>PL^dOv{`YAdGAJQ9j=+`CO5Z?<~ z2eY)W_QCYf%sk7p5T;C-J=}!VRC{dkwt!iOen0EAtm%v^;ZdgFXG!k4%u^pXm?Tvi#ZfZn*8xae^K-{A)UAXVSet z)92Yy`3vdY^q7XD^pr<^NlW14C)hD1-%*!ka8USaYRZeu7Em@eNfu+4w0WZGzv&(sL1+}BF29?t&%nmVJKD@4iQsvvdjOUz-|4m(d#eWD|9)4`Ys$4b$x zIgEQ5uJ(o<4w@?KksT3^&v6RlE^rIM7z}|ESs%jLoD=(Re<26_uUl#4bw_n^Ux`AoQh zBYZg*tlGPc14s^hG3I9W*u+I==(~ZvyJPiJaS;u5|V z&XIp?37?X7hAPze4m(P*^=T1NJ<5X`bArF6xVp{EE;_d;BlAUyJ4)Xxk9`I1-`Ge6 zzXdktqf7YF^c)%`F6G1Yj_xvLx;be-y^Ha2>O%fUIyc571!NSC7TuwbEt4_`?&hOhl z=L6~m>JR!7oP0g1VrB3VdIuW?M0pnhQ8YvE);aB1)STh?XD^E|sSAt`4Mg!6%k znWayG-vOA9E3^yPgLL7*8@lyyu=*k9ZFVJ9kdm{M`W6r#3CTIbx~^hNQYOAarC3Ar zbIUcBde<8I2%CKxZkf4%%uyM5o70cc%b1rKWv_3TZ({2V8uj2DS&76eR zt^xH76bdP~0_J+X!h1pyWgQijtN zu~MmZOX0#_Qqjtu-niLjx%&_q~J0r>S0Qut$duyF407CDO*A6%3cg7 znHs`sm8sWR^)i~##U5lf8VpU;4-946sYS=1;zBgr(_Uj?JYw*KH<{<`EWa0|)WSF{rAC@f*2Byz2F!bdO~Bz^6vait zCT^i}XKb&&y*qwRJtP0L`w`}5DBE*bFFX$*m84vtsI57yE%+^Fj>8i~g@yFf&7?x} zXY*ef^vhVWM~XGE!>iqoGCLe>1$+W7JchTKcfzqtapo`&D3yowp#|pXg3sXocJ*v~ zROCC%mq3);55%fd?`^8MW9YLD++6NN=#UQVyXb@Uyi?v3)<55{01iZW5@Oq*HXUGe z5yKb5p}>4b(jSfvM=9g1&_k4cI|T=+Q&d+yTx4(n&P9sRno~3OGUAW&!u(HyZRx9# z_es8I`1S~!&0-5tnCuq&efgnqsN{y9j5y%rBxg0M&umChoGiSuzlk!OaM*i z64`(Zn+0Bx>CeL@3Dbkq*6HTU`Xs++_>JBYi-Ynas&`tCGp`!i@8z;64>gD8%cyPq zMoM@Q>{=hdIi5B<1YS{*-9S9yt)k*RW}gFd0B01edCUw#Gx5%L7hT6h%f{~O=y>}I z-E_GuCo(%xeiB{S#LcmM$mizr9nGAYOHn;6?+3oC>JGK4`pvY|;O57k268GarWhA# zH9Gzbx1!TY%a`;8UOM{fX-V~FxM2EzIANE880qIVgG^bA_w zCNiNzXqv50Y;0m|Y)GUgZ2W7?Z2poA)jZ23(DNap_F3)&Dh1VS;Zl?@CA36)p*35$ z%+Pn(@Sz{jzNeWE%e6OYU#G8`J|8d-!Q$^vao?k{&+v|pU)Xp9gv?~A%yKqb9XSWC zaOA%**aXE1<}kP;gFbhXIc{Q~P{GgW51HjUwmvHCN1ho63lPBRJ`MW+1Z>Zb>{$?cowTCahrJVsp*Kou6}t^x30`eK&Ut z^#_-@OSeWgX4FPi+QzfFcTRF38pCSGrHS$OK^UgJ9 zl(v}{^{azdX}u3q;hOqawQ!+o)@RK_H}flKwCH)BMNJ?Yp=(=sxC-Gpo=0n6fPcnr z<#i}&E6+Epp5t>^N{a^X;KR_^9iTG@;;_h->8*zV*mWc54fK>M|P*Kqjs_r99O9>v*_^HfAvA`oqR<5N2uWB)NW&5 zfx{Z3;;+NCMSs#`XHg$ggSx*D;gGxJQ^tQuoshvvV~=VM@E=g8sFU*3Xyr~`q#xnX zD?9mY-)bs3I1ksMexpWwOR?YRyF3=u-VqudCB})*f>mLe@Dqf= zy-m+iC+X%=`8TOKn(&lJvEQ)Fb5zIVnEi27^s4Z!mVSksf?ng^5Psz%=Tfm(sHA^$ z&D>J@LH0Q4IE!h+dkmZ#%m+u*n&2eph{&`>^4;vDU4}2iW`M0KrXo#C1h^yLo&1S0XZ zS@#gj+1J>AZKae` zn5Y@dI;!hMdMEv`0?vYRS$MmneR5%hIgejMhpLuRuT!QWeK%2A6K1fFQra}QDR9zT z>OO{?S@L3;O?j27=yyPF7@;&Ke9njcU`CzIKn*1u?zklL(CU#_) z#g-N<{tmWzVI8RPSC}&_nA28hL*G!pK#lLbmd@`T8k+RB@F(}S?6nB%IrZCI^rQ4a=BK3iZ_(I;oSivKMlvIFfY# zYh2IvYpCheeg+OqolE!K$zEd4P)(F(3O91h=Af6^oywW=P{h6|@9+cNsecz+`0yR_ z)15A$B)Cf!z4r~9Ln)i}msz-t(1;ShWhc8AYY#GmBCqOJ3B5Yz_xnV>Li-7KC2J`a zo*4d(bpw^&aUPvfeE&m~7@u^7Ntyrw^B+1&$9zv|PHM+~sdgk}-(cpl@q@ojz6xii zY^5GzU*@gW5LorFZNW#Q?#fGE&Y)aixaPDnzT7})>x#z zNX^uSJ0ruM;N)k)jCr&9o!9umGGTrY6D!kw#F{L~afJ84jqP)fK->Vk(QFjZp||*9 z^bQrW9pxQkr_;869itONEw)EkyDcZ~-f_#QqWM&{JtwDl1;v!iXY?US`UTV=@GQ{T z7Rs#eQ|g1vRc?sL_h!%+XZUxTpF4{m?>fgj+2+r_ z;HS{dBQNl)=;mve_)~QA;mi0*_wPWLL%px_R^No?cKAQ4?g)Vs?fl!R0^i?UyVH3A#E6Zn9Gz}eLVK75?OrEe0r>SF@e{Z8Q1WF*-g zBT0IXNZ{+22s}onmOZ&os=pn3dOOMZg3J+n=^{zr7$rd&TR|ZID1mA>fp*dmS>!yD zP9zL^;r%fbq-hKjCcO&qrRRnG& zSS))(OVTHE3A`|f!0&Yg{?SK*oRO>&F8+Ix?(jH)xjusRT%SM4gR>tHc=0-c*LxHA zD?u(fMS3hBI9YlwANM?gWh)4LrVD}F4-nY=7=f=4te3wvo21|M5a|2l1@hwzK^FN1 zg01o^bI9`_Z3N!TkRVTy0(mZvq*V$6bz~%YQ!GhGljX=KJw?*#8UnM)2=o2dN@*WI zf>gwhd6vB3CiH->8$#0ec?oRFB5-yAf%A3}xPXixzw|0eKTcK?zs}#ljf2VaXI>|8 zm%kw|4aI3+JAPk3lJUB~!1tdf>5u0Vc$r{7|8u;QR`4eXRFSz=Sd&OPMNeSXXac*G z6Ihf$V0j{e^TrUk7*j|XHN`42mx}dGBxCDg0(TM$rg&K(>Em4qe4h-d;*(cN`h0r= zFT6+K<#7aF-$mdrWa@L=8}vr333VFnn?QlsRaJA zUxG^ZH3Bu!1e!<%%7}F&oqR8WS?3At+kwDA1jm&3zD3ew_7GUMgA?Ap+4F0@spdrrbyxu6&X7T={Af$v?c3z)w39_!*&i%6}6iRPpCJ>LsCM`(*k>d82MM849j_tj zkNo+ckttC7G>nv?wvpwhj(d`%lQ{xAkfBre17v~!)FViR>ark`ZXnA|ecyVLo~|VD z(MJhfMW#r-;S-YHJdD7dYbEGY|L~FYLqik7qtTGL(dhq8o(KO-pgoqr5=BxYV!QU z@dTdkLE!n`1b$7XNON-mN&ilsYpJnPTFVh!(dx-aXw8H)Yr~@;AMj5b8%$nIxJaOr zAfYy!5DaZE6?r~*Gl4_>1&umM(k00RmiHyF{wD(G`@dUugQPc;<*R*;Ou6=XNMroh z?s}NKu=g~9Z}%kdL_LA0i zNyiQ(Fj-C3zb=hnuP&3UYhCs@@2sDx* zHu$mM5cwT>KF&#C-FgBW{s0L0XSm;A&_k6Z10@l-xd(w;zb9}z>6u~o`y{=`PT>A< z0*_b;JoW;CACM_AoF-FZ_?j$d!?z72|0;|O#(%>Py`%?5mJFd$AQc+*WT=d$n} zN?^nk0#iE^nDH%vUC1gh=By>@e9|FfAAdQ650dBqx}U(}?qvNN$63gOa-P7dUkI$% z5_rGAVY7`Sy_g`Uas3RE-awY4@p-b|jl0vx^H&JvGrmUFyYVd|Cm7%NH}sRGWc?ej zk~uQ|L>gi;FOdo`g%VO}ir-7peks<}i6E(|8(DUyd!8ow{ihS?B13QTkdZW15}Yzk zSx)ks?j>-JZyWjXNDhGu2>~)KSwPY&))M%53W0~-Ch*wD1b*0;z>n()JWJ-<=p@*0&hCoSzINt3vi{BY3?nZLAV^{^ zBn>hDi}cVuA&%rXY$nk60f7q$GMSf-Bdcvgb+q zakBhEHk6R`*7F1&AZ$J4$ab>+Lryl5j4y8z`2BhbTG|aDu!J6HYY_c!bU!5PaHg8h~oFO&S6|CXSYx|cxCPM|V`K$DBK&>Hd;c@Rpl)*3;$ zn>CKiy)|t#$UQTXdhC^6yxbl-!#ATlHy6ul-tnY zDybMcrPl3rH#B&v%ZD^py3zD^_4eku`xRYSV^z&W_g}KT=-M`2Nb`rUE4m{6-wHs} ziv?S1-rt_%f(0Q-EXW(;{(GTlx>~TO{r$PyD+u5jT+--msHqYgTH7hsLwVk2?I=MT z#OkU4FLmg<`EcU*^iPAL(fRpsKx*7Y;Z^i~xB>1$z9cx%(&s}RXwfCXhMXDp^x*u- zC6$e(?*1;X*X>R2Hg#H(SXft&>iQZi$ahu@Lsu>d$8B(oiy-9Iy6PL!#S&Mw=&JPA zh!w8tQkd+uJC!D%SDfT&s1Ut%jjnpPSYK1q;B|^aYs6BI*EO!vEjCnmykb>NsatIH zx^WE+$=wQ|6qr&`5IoflVplP*Ah&1H)TtAa#8ha-R54Mk8l9db!t|v<8vj8iq-y;y zq_*Z&PAl$3zV4Y1Z+t#?RbJtso<&g9gkth(+O%RpNK1(ew?uMfc1fole>em8ATaCBg@HYSe98 z0PjQRptVv3|4p0Y1tG7}?W)hMtSo|YM%U-*L(xZH3%PfZ&8?|)vf8#`%;s|*V3#uU#5%Rikiks_yovUwWnc9lIV7pJ8}KhZOV`; z03rzl3AfDyd#T&&sdty6G1(Te3ntRg%360ld|Cy)tf{V?BD%^N-1ULJ zPr+k}XF;Oetu0JLWi0HaXQS;Cg%AL)k3t>IkI0mt@k)se^eMwbEe)-&&4B!+s!2|< z-YG)2@U)b=t81!YY8q(#b^w?` zR81?!^xX%nU;@zf2?v{NQ-CNss}47&QDfW(1G{l(ZJeXgX#x zqV#Pm!N=c0KIT0B7g~zL{HNtJpY&aTPyD^6B=N7E3N-dkl|m13Us|$T%Wg}=p%iH< zWW&5LiD>b~AcL=E)Wk_{iAPJzrfdpKfUBV`!T_JH!BY?zZf{@`@uXm!0WOc1TUouU zq`^~D?JoVtd5FUkQCIAP@xs5P8G%8^-GE1RFjoJgiGgp^rLX_X3F`8f8M@u~t%La& zlt2eIiKf5^!r=ZxtD#&xIsY4w=P$UEcTXEG9hl&uuy|TmW^zNlr(^=AARt5q$U=z= z1UEk!aDlv4?=ETZFHU$7&uMLq*XscxEHI66g+x>W`Duc)avI20(yEbG6kcY<{^qCHE{PChT3a-sI00kegkrJ+eAUnzuY~&08sHkxOo>KH0x2eow=~RO1c<*<8H7^! zmj!fC}>lMBzU--3M}I08Re>b^sUKjwBr8Q|$&?4J^-HQd3>)6^ zu-Z!kjIJKK=AP^>X~b(32Hfqfj)j4*uc;Ni@SVFd!tM38jFnde4&o=#z<;K|n)j47 zpxQdUQSWu$Dk2u6N{uoGl%l&_z0Kmg%hf@ExXaZ+ez?ok|A9Z=LR0@HZrzS6|C88t zm#YKQy35t?a`pdBT)hi@jaq(9X+v*llqXTmH$g*?_<&mT;CP)9{#5X%hCfa7c%8OS zBK_?Ww0%QJ6cRh?9L+y<)=rV3v_5JJoz}kjp z$bdD~9xS^|0jZZvaElz=1)>UgQU z%mp%^Q|w(c$qhPk5>`_yJq=)|#1hTKn#ze-u56!N=B}^8(oYRYHbl9sa!mpCzpfF) zVA0!HQX#rZOFdXZa``GnuLl=X22I0Hz(Coj8nh#jlCcbp6;&)2NeaGuGQ3#gX}~%& zC_xil4a87@#ZQpEL9-oLCYIDRg8H6BikRd9QO#RZ<(`DqEpKJbB#_A_;qpO(pXjP= zR7sVBsO6q4c13Af8so@XuzB3L3I{1atynCq^;Fl?7xjk*RyQno=Ws_+!Y)n>%UI}z1e8-dQ%YZd6? zHEj?xW^@NM{Rd4fnv&r#Q1NK`7?qJpsv3s|dNtNSt_`VrYt5}+p?S#;y%Q_v?c+gx z>FELGwUA8rlp^H)bGS z2+7@s);GG*XNBhAt{#|t4~&fmX2Jt=<;lc`2`DDLz1R~p%)hsHR8cQiRh6rFv?mSK zW;pErvC+fWz%aJWZAx}nd-_`hEH@2G{O9u8e4XCrcShTK;{R4pn>TO$3fG_9rv9|_ z|I~oC72TmjBLW2`|Ihl;rnT+c{LXA!b?$%N$2KM0S{m+qkJhGUWc|-t+qPBzH%C69 zwf3y`|6F_9TJA9H94QUyb9DDK@4rv`Jav~Z+~o^?meH2$+~o_mVM%xSLMva&KzI29 z5m11n{(p`yJV!Mr?$u^R(TDmX*LZa_8UzBLn|P@Pjoobj>w0^r$CF_|l{ezP;ZR8u+EDgX8vj z&WeVrN-eb#UGHI!3ciDPmHstLB;?)BDGOcS7Bq0=?Q&qliTtOy{g-Y~%xXco7oAQg zR(%AQUeKn_+whs6W2yge4c$if`dOWt=tSS!)G<8~uD z`;$p7_fHPWxvEb0RW-r}JN(_DIYm{CNn(U#=!k#{@taZtewGwPl#cOwrNyFKS;rt+;b*l|Isp+qdFQGYgY~@#l7~m4JG!Blu4*rKL-`@wai$bbC{B{@VP` z0$gfpHg>q3)27(vPHpKXISlIW(yP1l>Mp$sI9wM2MY~I{0;BQ&EWPsmPv{jxneRaL zxjW{xgTsPu^HC&rg!hXPSa1UM1H0h=AC#I>Vkt_-;3{u*Cnv#4uFIop6D> zb5=VzL-{YC*;;8S)})I4QvY8TLXZFTg@6Y4Hnkxh2#Cjs<`p$Y=Q#RL$)`M~`MdXw z12iULLc*HCfSyB=d-^R(eb2+~;;q)D(B_TjjY;zV@uvy$2T%WQgg+Df1;d{i{zBl- z0)N)#)4$tNli_SNlzYw=+q^c_&dbJvGa`hp6buKyL+tIBB-U5d6t_uwJ;i?aWr$so zUVx2INq+#p7f8pCh7Z7-ko@*~h_|dinLauly}U(?@I|Mj3~~*34;wxRG+OM7Sdf=b zHWQ1%Be9P-$OAiu<+v!XN6br2je|1a)+y$ARP{{MRvnqd@%#L?&VXt7HV4ifLF70qFz?ZX&rVPh?r3jC%&Z0*Cw z1Ie0)2KUp2peyae6`jHP6ik0!FGQeu#d238m@vlGc(IKQ{QD)JO#rRBHs&Y+^CZf> z?l5)zo6YeSi{xJ%8*nQmTOhVLf-MwHAFVT~K;xIZNg=mhGCzjmmf}}h&5+>c0Cm?- z^1w%fE~vu0`n`RzQ-lAVJ8V_CpsGz#G!Rlb-`%C5FJk!7fX+269BpUptVzV zW^}A;kb(iifYy!G1wUG^lc5No&Pq){sbh6EdO|u9eL6cD8)9VT{<2Z(IGBpDUR_*F z+=R3-2b(9PkAa{8fA63h?)rMLo7OaXfv*Eo7o{QdiPH3dQPc|_Cg4Yb{aeO0xWK^c z5+}h2<^ISMY5Z#&VK@ipgRlUz2hQ3pVJUHUHp9k4j0+C@@HSv?k`i#%5V5Pie}D&y z#4H7fF+vIgfv}1OaBgvXlcb;uDHa791IBHr6eflghNl$V`f)R`p9^@P;PFiljIU#m zE)+Et!$`yUiujidWsTP9(0$c`3>aV@{aT|7(Wayn&gg!aF*K+f1%B@+>S1DsY8fLP#GVcYYIZ$O7v=U_6J8c zI@UgHXmi&e9g`V!-wlTny?xzb!@o4>@^!}y^6TN{CLaCtJv^KCy(1M}ZZry1F?#NM zM;iI&{Tq%Xq`KiSqqn+glt}Z7qZ9dX+zm%D{-s6-Z#d4Q`$NO>(dhPJk^k>$O8A3I zes#cK82pLw7v8+&*N9zK=EWnj=03rZhitNlX<+X}gMWyypp5j$J?O{u$X`44fta{@ z9R4>EJp1w|`x8UlwXl~5gp&CDf!5=mQl00jED5|W2t(1}iwc`Bu5C^=1lQq^2_Sdz zcqLbWKVKkUV$irIp#PsYt@gUz-p`vJmk4alxbeUVp?(20K-h%98*Q*Z=K^2FQV%%9 zd9f#AC8Q?8Yw!k?T<>onM_dfiI=eXmZL7D*vcRiO5C*wC(reN-o)mcpku0#UH_ion zm90%`skkTH@oTq;u%QQh1Junx@pz9iP%ShFyJV@=UD~6WT0-vlK1ODB>P(UaUL3Y9X2al7~Yup*h)lKqJgWf$k@YtzQmrjMyh8&d}tvkOCkN&B$KCE=zR=dTa&OF|~_hy`C!a3yW< zN;oJ5-9rblgb2d}dtPKB8ft1F5HwC={{;hw^pD4}q_8PgI?)Aa53;2P1O#b1V1OVp z3kw8NoDm2TB?SRzUF?;MWrTnqE^MOV>eF?wYnBQ26RjtGg{g=!ZFPL0VWSxMi_gp zNpFFx>aB0VgO;}-EY2(5=dP~-$tbYI1LUKHI1oe*#N3f_@>3Ytc!W^gDu{0_Z&{B- zAgdWS(L-cNm?AiXqG}xM++m>(BQGukCKDESb!}rH{1>X3R57Kcn7}y;UIrvjq|H`X zTB%f^iG)h!$NQ%kN&rMI0f{{ztWI=SdtjjgO%nQnDBB3}o(*_kR6=sxiU3*gs||Sj zFF&~jD}jzcnd7l9LBVh_C=MuI0jLbaB?1O?FCL{81zGK|DGRS*)T+R;DPTu=Bi3#t z|;$FGZK=dla!Z}2e6KfrET+)Q09$674W+((R9~iDMpr+GCmhP8_ z*6q_pp=+W_g=z(>Z6xGN^81vw6apGsg*yZT3*nEY;zSRSiGF!S#YKU=z&fzt0Rg!4 z`bT444z)x{1wdb_Jd>dqT&z?M@dNi4hA5-ej1eB=EYJ;<`k5*O?Z^c7cmAA8o?Qr2 zSt5m6j&nCm!VVgET3aZ8fb+q~0cwEihV=pIJ#_k@VDS;MDScB0gqS#c0OOO!4RApU zV#luZu-3tMrM>}T4!sf%2bN2Kmy$313^stEphSWT3h*L~9B>{8HZ3)JfL!|<;gf0( z;2UNbcqQQ;v^lQD@1P<@+CzJR=fao;@?qcz3nHWue+phRe!u_90vOYPZi<@#d$5>u zH@HE?@|205?h@wuX)f+IU=sAYg)U1j`=E{j`eVc;GXq}yph1b4JEH?PKvBB(g-UL$ z^^+vbED0@w$$DpHP)Jv-6BqiU_i=;p0>PcYZ7ubH6&b=IO2A>lJvl8UrR|HjBJ|i= zvjYtaF}Ifj?kC|fk|dJ;F8Cf8DR?dYRT9BwJ6L~`<4%C~OSlH!No|~yaQ%eO5LyZ- zO_Wdn*b-JE#m>UQca6Y2rNmu|ZV()#1&$dMuq3cXAkFpQV6s$OxfY;~G(c^a z3p@kd#>0lkHL$Fm;=N#n@(Ul5BN@B|NoWHE{9qfD*Iii#OKl)2kw`Z9gdy;b@zggo zN^6#Ze{nO7$-s0=8%ZoQ$jAN(YH3X$iI6(Q!WtYHUyaVy8bebjxnL_sGS^^2i=BdQ zL5@kd&(J7WZ7s&Knktkt$7sxiCmv$j3bYz81m6`{@ zdT*?+t;dX6T90KdZbsOdN#dONfD>FoiZj3?le@vLO+fJO0n-cwOX7>B!~7&I+fr z!Gs$mc}YoJ9Y#J$^uaSgh+9l`a6XFE#uO*KQWU7ASgHnU%JYlBm}-EbT|$45;-N;V z^OEdB6pu!bO(6mu<_8n&whPU#i6n^$l|UGM zM#+$3yd-)C^X#2cHLeCiw8X&$LjmzCOB%re6K6UFpdu|3i-$!r!gy;To*p+fz~S%; zgzqW=7yJ!LXaM=I4THO5SRNMIoLE+q$RMmqaVTh`pfkYp1nK$T`XKdQiZH`HA%RE55SA8bFZT9_M3VH1 zKjDAtj{QZs_ozfP_L!hUXO0QHNi4_xmr4j!0sL~^VyzWDd{{7{bH@Y@4j=K8S4<6E zxJRVzc>Y=k1BLNu^F44Nk=s)(bqq?xf(Uj^Ci8_uEdzDHg2lWE4u``&%pl8^f%Jx5tJ^je zC@0WfIH?T8n_3tp5Bz}P!%Mi*U51CLx)kIe@Yt4&8`6#j8E)yTmX8GgNA>=}g%;zF zFgFNLA&eHVKSo5Ju40K;C;fySFJdwWwGGG#FhW+~eE$&{ z^D5jW_|z}~_>UA^+_DPDRF`0Z6RYP{n2f?Y!Yo~yU%VTHC%ARpNTh%aEnqj^_bGLa z!y7cMiaunh%q++4Rfc-EL(zX&l>kC^8fkOdBgl#Q5`ucIR zO4)|ABDi1B*qxA2z%+?R`LPX~J6aK}EkDe5W?*g(b4}zY6POZ! zm`Xwl3|YYO8OugQ1cC+Wb%7Ow=nZ7eVzS$^YB37q;Aj6LzIF9uLzP(WgyrV}NeP>1 zd>%oNY*tVk7CrrhDIj$~y`anl!m(RVwUT_YrP%Hk2`E7DB>NZf-p1V}(lEiz7O@MK zj6|i&>S?zdosokg3={~O09Z{3s?`f$n{QU0WbR}82L8=jIx0cF;-5E39C&~qUV z%MhMok^^1yqdg&25Lg04F(3uCXs|GRPEnByXK!I?whXN~tT%Un1?&ZOA@#1MQFv@2 z+C*AmQUk$$8u*MXS~Pfr!2pD+^<%v5Te?JSu9&MfVj)2~o=y^b{GF4im;W~=C4Zwx zEwmCyQ5_*ngd*Y7Sp%K-!H+sT3a-jYt|_1$`Pl)?dfjLk6hRn)rBe|9flFdG0mCSv zBlWjZ z7hN$}L(qHULk$tdMPLW^g6BpNxLuR(w^?jJ$0wtv&s1TBV1R+_fWZ+{@gd;wF{-H0 zQx2io^<%tXpJ@?UlCTO%PB6e^!#@_%2?2nXlEwk^i4Ns!BZOLSpr5U+a{P0v&^3k5 z$hNf2_usS)7Tm4P$EHyDaPoidR?ol=2IvO2lU{Wcm4Ko5XshreiwQen|EaHfNlizdKl55IZHgu)oU#?j>RzTvXoyk9;-gnH3EUwcbuCDImqw!f_cD?pkNHyCDT! zIcn;IN>kF(+o$6Qhj_mbh7R1&28U$=J%fhyY~9YnCvr$DtpVgf>CQ}t_rh9 z5W8S4f;17ZKw%R_DK=_IJ~9&h0-W)yjJTloQgeGIw+E|O>wZ}+J|Gk*0p8*eS_Pw4 z;Ytt^Yexr!q-05vZSm0n3f@K|gms4-AyH#Vt3vPWHHT<1O630qCFK4h$(;YW(j2FR zFpiTZbr*&X@uC1dFRZI9cJT^Gl3T9G*Nz618BMnO zijaPl*@XJ7GFt(6@`(o8iXjS_)Jc@H$DA!Igi_jMv4A|ICG0`(&V}1cB?61P>sRUn zO+uYNHAa|8&|n}>QmduKq<;oZhZ$QZaG8>c1e4HO7gjI+0k8ZMgI5(g_qaLOcPr%# zOjxT(60m4Ue8*31@%T$xvm`bLXkk$_j8~n1YQ@#u z=eMNeZ*5~-ppp2*K7vSaDzu-y!MA}X#0x@(2ruIqlaBY3R=cEGNE$VaceT44;4~&z zz~(`wl*SQDz%3Y!Ghy2e)3w&kG?)sINAR`=CTPY2>7}*{4R5sKSk8Jdh=Jt`UiP{I z$`;7$I8WMzxMf&SmxqiYMt|qpu9u<6^@G*mgIUd!V(40kdw`}?yWs?zz#0?@K_=E& zqSm$zj)UV%dg6w`y8R1n75-9sQ8a!PmI+KNw91E%yTQK#Yd2t$y6t!PP5&lztu*d^ z!JLJ)&Jy5AEpk05v^B&;ehbTh(ZNA~k~D=6NCe(eTaVuDDacjh+#vMhtx*ueQ10nq z0~{WXX+a%!Nb`cLK_DpzP|;A>M!`pQN<)wl)=8noWX4j~&w zk}q9V+UWGoQj62U{ZsO(s{%h#+zWC-KZt@-X`mJP2M-fSX}1{A3IsI>i-uUpZX-iO zd=fQ=&X!8;lr%|9ykVCdD_)?yfZ+pEdw-%;uqC#7S3PvH-UYUhHkDyAgULz&nXqUt zov(yNTbuz~<>grEuBq;T-2-}%fxx87Q{4ztL^gB&X$laf0&%_w@Fjn8EfkBj6I?o2 zE%6*7B zlPJZdQ1UQ7lKz6GA2S(zk{KS53Zn(4D)5KJP5=$i*tps;_#ytMeoXwq<~T3@*)Rr( z4%FRtM~B$8$Q~3XqWClXRg38Qm$LlJODXu-A9M~a-l7c7hFu2#s*>u$NZLReaj;o> zQWtnq4?mGL#bf%G{kAGg9U&*8?jh;{>7H=K}5FBpBTEEq(z*2#bw2NOtO zoUzUA|6=dmgX6reJHev(Zh&}nv%VtF@lHlB6l)Krv8oXB=kv-9#pGgY2V>_nEG87G;f zB2Vnfrt(Mj_dDm_``z#BuK|#cZ3~Kd9i}cd=WipK96j;Lqru0Wl1Xpb+8it;JR>w#fPN$uolZ7bNGYB zFR=KC6d%=M`C|@$fY_^OTx--CodYyL1_i0$$UW(eEbK8C;HQ zzO%jO34&6XfKe)940Tz;9ueEQ63zhZb`B~FCJG~Aqr-EGf^N$Ai<>n5OGiH8y(6b( zZu=%~d^0k{BlZ8(w!wViD{YyU3*al4q#c`bWnHLjdv4%jfKFCsuE@E{q0pYeOb_F4 zZ*XK1)y1+oNrmM-&?kF>U#wu{*o^GA=gZZhZYZ)-9yUCid1<~jQX z5eM@sKA4v$J2U3x54Wr{$3EV&#T@^5Tf3=tXScjpYP$0S%npsL%YPL>eB`y3-D~E} z_r9IqY5w4m*5+G*;M}``KvUHPm;_&#xu0vvn~yw#UE;e!O=l`#9-W)bHy>%uL^FOM zz`0l1DWvueT+tZ1W?#Qr!Ba3_>}~I^;3#BD&Pp`K48dUAGNw%UjU zS1&sE^7Leg0R)#EvQ$FXVZV)isFN?}{Nx@Ls*WdF-XbX?rWG}97E31f=eevMBd|ky zk$N4QY81~SZcxXDBOZ$>Pq6G0J?KAJGQ}a8aQU;c9J0VCO?NN)o52GcIQ1RKpDR{y z42FdQ5W#Ln8Pp;U@(B+73pJdtI8z7PuxMWmRE9dS4}W-@#r>w5$Yh-Lpk@TVQK8kD z8IW|wN%Z3X29c2u0^ffED!m46pV;8}{(9vXI>dz!?VM{vdhhnDRKVKK@%bC0q7$oP zMQE&gl`ACh_#MXP3@fADukrhmjb4NRF_R=DAK<4oj z(?9Ciwc+sH$FUzZZx8R?t-tr1x#7L}48JQ9O#646J5Ou#*zVcSJnEAZX^2uk zb3^jC4td}(elLpwuR9PHN}xu-Ay`we;icWDsbLe*rdWh5myr67Mfe+g#nFr6Ram1K z>XU`joxLkjI2RlwIR3CksQK2By?fUlK0a)!!+ZB^z>mIszxfu>hL1?0iH}d?2j;@a ziX^oLhL)ulq?1=@SA^P(e70*xjb4n^fQ)MJY>e_1n=;NxRlZ<;i9zIIcB5cveAgHv zZjNm1vK9E4XJ8%fm)$V${L2aGR%O;t|J=H7#Vt* z_xmty?&GUtu@C%$y5`UC-?r6!=g8jOYmXc}XwH7C`K}Cp^r@X^-afK-4+@kfn~oeD z0*`?zkAJJVZyot0 zKGvt&E?+waX2V9v?TgMd%jC2*!rx0{;aNVyzNf^gn8Kkg=Rw@d=S z-Hk~&K%xC*CCHB+2cT-L7s}JcEAxmuz5wue#wQ+?`C=LQrehX`+fg%|!Fn!C;ZR%W z1#iha!%WP0=^X*Ij7MeH(-pcNr_|>6HPv-hESKbAC#tBjoI{$Ssm&ecwU=7fUnJUM z@doq}I(5UdB6mn9$I1TGD8)LQv0DgQ^k&b4tvSDO*s^IxwzlJa=8NBM&OMHGU^phQ z$Bl1`j)90t?N%R>lW?e$Nw32oIk&&E%(ux zJsms2ngAuqXAb@~cGdlp&6x z?H^pg{$28+=jU5@n-gtq8*uUmisFARR4;87LUZ-V!gDVneEiE}tNw(M7w8t?(8DI= z+ANdm<3#anfgySR)B;m~vN+uix9oiB1w9DuMWTp4^VQkb?QIbEBaY1};HLd+nVqI> zp=E=4`TH%K&AHY+>luAMUBrQD0f9yZ?t;Zl!1w501CAAIcL ziwFhMpe&{s)LAePep_ zM)URA){f33Ctw{O&YQP?vZcqo^DnzMn9qN{d$aj^J$D=#;fuGr?phh=;z{ygCoPlb zG$Q$GEMBj5;R%6fnp@X3PyrVr=?IE9)Rwoh|7aSTq@af!BLR}GXM0aBoC z;a-s2ucQR7>QFCQttH~gje8X*A-yo>cTdps3C5ZCfU!Ea6yB`gPCqRil%qKH=@C|5>Y&@nCGjINK zYnSsPtA4V1VZI8g~KV*5lHDiLW? z3XExK%|j!F`Y{fS9S}wAG+yR8)B_5oi@2yE=x?i*l7q%8)PPY7STuIL3MACQ=BSyd z(10k=*;adP-J^hy`|LwfYL=dp8754n*)R8`gDC ziZ^1>plpBs5Y_}NzI-b8sID}oKALs{|V z_2^(yn3EmN_K+lh)U?L7p7y{DP#SOR3)x9jidH(?s9c3Q>f3jXR+bobg`$7GVB3)u zmjG-zY>FzJezI{bMW)C%QJG#*><VTwiI?or`j%FM(a&55B)1G z6*-BP3JyDncuurDY3BNkm5P-3GIWQA99eN7BgO_4`z@j?qEs>I4-y|PKHG+?Wcs{l9DKYDcPKVSbA?n53)*l=a4pWG3URoiv7;Jc7Xi6!g_;bqEakK&Es%!7j@e>jfnm06O_0#{ zY3)y90Vwfi39#p@I3y5t%T|a;qkJ3o(13b@{k1$Mb^0+XJ5q+jr14~6fF(KXn(qIC z8VPCvC*-913JGM9FUX`3fR+I*#l5^FShV^S8{#nKB%P?ZkS*~U&XYw4*di|Q_2Y!C zSeBybB_(&rHkY5y_n$yGF7BZtt{Jz_;N2d0{X_R;d)Anv733@ZQa-zf=`_1vzwgoP z_T)!1(w_aTWX0Xt>@TmaJ2C^o5`BQ;tNuY{AXdGvQWaF3l)5e&vf^46M&0{@T9QB{dKD-vbYWC7)Y8w%BcmMmd zo1c9c2Q7dAW1QE_9eTVHOCOjml%u4pMI6FiDNI}g6!6lM`=XF79dJSJRpOyy1dB*;kvqRmo@Bw@ zilH7Q;>7jm&YT7x=q;B92NZk#C(dX}*&C367vZ`zxjVBv%^N-0ZCjAES{6k)1vDe) zvfUrOm~A$1e7U9Fd}Lp?$vk*2+l5a%kat&3Kfmw?&8_COTy`U_YWwQ7i`lld;1z>d zh)$FLd`HIoYA)NfLHjnZJldQykDtqKMn^ecyy<-}X)+Q{4#x@%5XN!*6-5-z3MKOi zos?B3&&L$)Lpzd6zg$8XxXhhlWlHv-{1tec6Xv`ub1Y>MYsI zg6((s=BKzHQ>2v19T1+MC}ZQJF!6pywi+h zas`E1Z2FON5C2dvsanF3@xF(%&o<%0QE9gS#3)X^%|CfK`}NEP9zC39l(P9ybJtE& z{iz(d?$`3|=4a1j-SV5jFBF)1@5%D_AxsQ5+wM&KZ z@v(bOM1LMYx>-$7U~}>_DgPu0Tgv1Ap}!|DUzvE;qofzlVfW`xjvyS-qh_=Zl}gXz zS}vhEwj!XDV*)jfsu6Ds;uV%8@6=2_zw5p425$3}Ki&-y`R?v@T{7Xb7b+)5PL8TP z702!zG#|d+vEBU9&vbRvkX3IMFO$hsC-G|L<%vm7Ri_S(Ekr->66C(0Vl>Oe(Tt?iYi_$I?XTb@Y_!tSS} zYX^@1Vut|_+CCLjZjyBj`TK$VzygCAhUOf2HKd=!@F@FftM84;L;=y`A`xWEf7STw-kk0nSZ_y>+;#&?AiB(u@25klS~M@l;8%d zWI{Ht{=411n_%Ket`qah4|aFe&KD*b2rTjSwB;q>;JHGnETM?O@jGw5l{8Y3H-l*v z9fujsq&BX9xp;uZ1nY<-EER=jb$hsAUAQu#tJwKcjcGfuXh_t^(qcs}+e(~?3*+OG zh&+!}hUfz!2D0keKXFM6N_8@2wZITV`3n=11#oyT){G(iH{5px*}h^u)h4Lt*t2$( zw(!`luCS|UQ5`A_58}g_AgHH)@um@Z0});`+*bLOAFPBlU6O^g=8X_%_#>*7S+4Xk zUaqC=HAox8KnW6Q0Z|SMQ`j$6=5IvXhbu^zH7xnXptkaPIPOKYZ$l*$$5PSC_F;Um!-Y zLqhf?+#kqxx63Xpysu)O`K#8RJ8p}6xC zwSaUQxcLKfuRf7(V*0vm5BwF;JeilvUI!vYogF#j0?S;SFz;dmqf8A3bGr=u@KTTq z5SI+PfN{nH2d{!8w}A|x;=HzYH+YeDynA42(=?oc$7Ej!dT87qK}t1V9Na@<}OL%Khe)2l;jQmBbRsR|@ul`Br*4ucCFV};7-L?&AJW&~gURy;P zVnw<*8L*3b^{w2_p=G*E?a|FP3EV(1nfm!Vv__yEfLsWU<0yu98IhDfq5lnP$zMRD z%AGCVR-801e<#;nLj)?K6Xy$*AkDMH9f77qj-^C}B0zd51To5!(JEny0Ds9JgWJdG zNjoW5pl^Ia19u)H_CE28)L8uTUq83rp!Y?dtrgSpavIWr}1N*z`hMmz*7;HU#1(I-z; zZ4GGO5k8td3bP>Q(8A0i923x%3G9e2g@T+#MoHisA_cNgsn~w7JJD>IRi-SX?~MKP z)d=&k+nSnA=I4<>k8CK491S(j5c_fDJX*Y}D>Iy3MaXgQ@Ik(F3U%;-(sTC=4Iex_ zFnnm}uzBO)o}Rn?pV(({yLV19Jk81LYq~_?eiG)1#Pb$3-eG!i&a^+Wvtyf-K*lJ4 zK$2Y;>C7}w{B36U{ju8BWPF1EA zIZU+Qn?XJN5y&hEO=`%R>SZADu^RsybzcOaz4Doqj}~O7K4e!tM;*cge*6nrtVSP2 z7h%r$I)|Q6;?#}jhf9Ez=+fm{QKbDOT6igscP~5!+#-7p25Qt2gG2tojIqWh|8IBh zE`Xreq+hd-gjxCuE|ZvK>U~kmbJQhODroryKUY}5uv7aKw`mRlYWc8m4>Qqh+orrs!puQRt7GyD zq(G9YS033pV49nn&aXwK*Pm%>>RK~&NE<`65)Fs7yMfIClsH)tREo z95tAv_23VEbOE>2+{|B8rxa7lnqM>9>Y-fG@?V!CkXg)E%v->c1on>reC2#)}vS5ivVgYwh z?D7sLgz?|1I#g^9zLcDPW;8lm^gu|<$o8_HS!#XU#XE(NuP^;H4!CxwIEpqBwIhgHp{ zL^UNPx&Wd;?sDiVi`&b%yze~(b}ZJ>;cC%vZiRJbm?{(uhT00dRWWV^KQOP$bBHoZ z-0EItslvd|(9!$?$3Opq3kh6E+por3xahrC+F}}RPbTf7zoifSInY}`H)Z)HJ>eHS zDElH5FG?}TVO{@0$FP6eaSq`l01ZE4GkoS0`qYJ16NhTs=$>C7q0o8-^h3Gl6(z? znCn&ZN{S9OZ*S_^Ce~LiG>8x48Wt%b_6bR0kprt*w>B1M-0RpEp+hwEd1O8~#J8b| zA<|bUh2%ci;puBB(0AD6Fo*f#&I*&Z`zFASxr|NOSIkxz1YpJR!Wj2ukQ>qEO@qfhnz`DnFpY)bgbhqdIh%r^YMRB-+J5 zlm@iqrAdvw54qm?Bi=ijuw0DeI$-Lmi#;yn@?*tX`hhqf8R#etIL@O%)3|p^zckO5u;e?&d2sYp!O5NDn(yzJ)<%c}lAiexTJ(K9~&`eupkUi6F@^;}V zAtJ#{V-U|nO6g=3*AqK(Jftp4IOj)If z3=wDOm6-;Xt!En2h6gNuBso~^&00U0b)5O z47DWDZlR7*T1I9bQ)nUcfzRaI*Go0QZjP8p#pc(3CBFfhJ1GQp$O-|51*h!k=jXBJ zaJzhU-@BrtH$FYveL@+M4#K^+yU`m60|iu>Kr2F*)PbkCN+4u8Ugvz%^yP9LotDBh z&6}n)Q5kBm5t*nd_chRz*4H8MS^l3?%Zc3qn|}I=ZoxL0NCnuDicKtE)zj6tM31}z zg62pc@_N2!f<9_t2N*XNNxBTm`9`GB;)S||L%d_3Edaa@9kRBN{Z2xxWC*8}WH_no zms4S-2KI*3+^v0bM0B1|h5#;Pr2YB3({bsS{f0;-^Mp`4bSffcS{4%tYRGyq;8d6= zWOCNRI5E1^e&}>r?b4+jvOZ#w!jAxyxN;CuZu$E`g0OWRK^#FH`2?2g`^c{e9#> zBspcRwOs~^YPr5Jnp5BXv2I)ik2wd|?FpG#sbWLG{7iWt$E!A9-StZdm265ivE~5- z@kb zDM@Z&zrRPgI)N|T0a6{U`yM`ayws51b{)8oMQijt{~@#D9r5oe`|9*D&Dp!gV`I-)4QBa(IP@ zxa6J-{cebI)DTg4=oqk+^u^(fNgQ*$?ZLMZ7ZwnShJa-bGQ92*MlgH+hxQKhxqsZ; zS$p66dWVOH^f=hNMB;`%SyHPVmLq9atDmK-bJW*y-j%5R-SILEa|UN2h_;nWgZ2S; z>(QOY!#E5eU??)**+Jl0_<~Fx9%1n*^F-|$j^WIk|JU~J6O3)O54cU@of`ZVV8{EnvZGr2?N#QL7zb~;b#KLv5EPxZ$7o(EDs|NHel z7gIhT+0gSqx9da#7_Ik|mm>+i1f9Yy>>iWRGXk6Ol)mjJd8PyBY4n@agr^?IStlQ3 zti_{+15~v*(D!l zfoD-np)J?7*Tu}t(MO#@@B*$HBX|M#XAv(Uu@vTwwp@=naeK%9?c#R_GWpODoYv5h zyu*$|lv8>0g|=LGFC273U^EG7z`wEjb+xB~145=iBK^0AQcpMWo#7TQ!gS`xrUcGluS4|~1&buxIP3TYhf+W4_y^<&$UH&A>N9j3Crp00< zm%iP_aaqc6z255n^cpp=vBu2E6?>b9z^;C}8cI1Coj1$0bz^u*KpsB~RR;tHiIbfceryn3yhS`5AgMJ1 zGAH_=Vm&1Sl*+w+v=qJLg*OzF=TMQ} z8^DWHhvK~^YeK9$-8`o0hPrBras7M)J;UB&qsA-MqJ3wA;!dhO*@53WqBpJ-(7nD= zBnVi*QZzv{(MbQVSWl>`i&%^dcKBGI9&wibaZMAeYLOSp5_AW!CXOt`6fmVbSkSg5*s%t zLa%%+$L^q(%9Uq~INLi?G^!M%d$LlUARth{(-hD~6U8)Rv|6TKfL{k(!#uImOj8dP476<;p4+-Qi?o zU1+%jEXIjo%4m5EL^o*PK-L&n5@VGFpedb+bjN^Qp;9>I7}x;XuG@ZA^;{lJEYNYu zZUA*C3Lc)dnN0AxSHGUJZ!175=0U%aaxJTE}b9UzDay^=Ci-szOnJ9 zN=`NH%Fm8Ho4DzC3KM9@p9*hKA4{yzDtoVwy$~pjtY(SP0)|XQ3KL>U>eF}9A>P1jdfIV%v42|sN``RQX$645JiV) z;!!rW0#ve=(%LQ|s+~n}VXp&*XuYF~d6x^FcsqIC7}(JcYvP!3sw5%j4OF9V8WU4L54uf&OXmqr zRiCjgfRq5R7y(2RBuEev$d?BMXL($gc~U52c%F|4Eu!eFIZ|8wm8hn81ki~w{hT1y zV#S79!mm+@&M;=kMi#W#6eBHR$4svjlSsddh+~sod2BiF$?vNSBxHk#nJ%)6) z2!j=!Kr06Kb8v%ORnlNRjwaxd=o*Gli_w!**ZXDuNmY`nNQNR$FWEy55#yd-fZmJn z2g~;ggJ%qJgC~cV(ZvlO(>cOIn3nT(Tlpf<$nimmenPo;I&G0tnT}B$6|||_-$b3J zm;0_Gb3^)%>1>Z^3X+{3dO|h?GR=q`XC%ons7q-YD8$CqS5+n$0 zskHLNk%scoJS*|5`ONROXBw+1h7yiw5=Onv8zmT%S`86%mJs8J$*w+y&cIW$J|3NOB)4cZL!v+dZ1ibr;5!d zIufGcSjhuI6C`>Tppvk>@?Q6 z#7=-!5k-#|7CNjZ)G?`{1}x(oLJ9V*SJK!qJ0w(>u^tk(OcH7N{pUD*QkO7hh5xk!ku^iLDfuto3nAI~dHC3JaOSPHD zZ>SprTRK$obuI%1PAp+O%gLpK`bEFGl_Y5>$r3_UWw*IxTQMQQaM5xeOdBeJH1dmN zv`-JUOe-2Q`u--6q6$^51h4rLSP7L+gAJSq+D`)uJ|~BLZK`#Ux^s~2c8X??qf5YX z_d^d%jXKyc$+?`^47bN!PRtucKr7GP4Jlk1)GSy^yTFSmTs z#i7sbA&Z#Y23(jyDscPeg?yMQ;4zMQQ~33rJ98+?Dc5381xRK#W;8S3 zd!;>Re*S~ow)|K;kEp!~6(wk6@^N@Rn9rZDD4@HBuRJa+N#b$2afpWu%D`pUFQoa>|@*&2Bqz1^1zFX%oqc z@&AWej@tXBb`>?_Exx!jyRBBx7KgRnSf5SdKX)Mi*b}^5g;tV4QT}#WHc{%nqrS`A zh&*HZmn(D09P{TNJ9laC^!UQwF<8)eWksHVnc#CRHU0C7eZ2)OnNP2meS+8UCx&|Z z(v!FnHkNk7{r4myUulFg|*dJ9!TkmZpmz zC_z~DG9vCGMtF~YDb6jfv}d#7gSkD&bQ*RNI^jgmDgBP+**IT|P^evEA>=(l2a{`w zPj&$JD+L^j&=@4_UkMvb9{9HD3ngDO(eIHCvPWpEYuUF9kEOEMnR-0Cu`%YT+4#ZS z?wSQhVMrOX_l&TF=O9OHog8?9b5jOvBm#GgJbK6Qk-NbTA{QzM_TvV8g?O7+cjK+f zwmX|Q)Yw;uuUN0Wfn?bpj-_>rkNZO@v~}-Jt9$ntZ6G(z+GF9AVzYEpk3m!i(D8#Q zgWx0d_2PW5sS%gl81J_gCMIk6=gPz+ckh%Z&5A$= zgN%p%Ngv?L70aI}x4mk87RxVNUEEIE0Xu~Pkmg5qssa&4=tG<`noDk>g z8#_F5LJFN7dvMO@3jmg(*&MPskRT@PCtf?h|9&nz!N6#r271HM&B2cD4#_=*en?fe zCc<0`rI65CNu7W|`2o5kIb+r%QUoFB96o>)$OMy3m^es)hrbtKqE7Yfx?PydDFPYS z{~?dl15oqX$(~&g^b#^B+F`|G7&|DtJ1o0fC79DS-@?LRe4irv%H`Jzd8U`i?y2vY;|a(k_VT1Enm0rq)a1;w2-1!(cc8x z63fhL09Y;3ZUwN_p=~&SFh=a;Vz~;e#VC67XamhaI$6Rw%~b%fTCCj?U?JKFm#Q#b zsx6@WgCVEB=;*Bosa0ojbLS@5Edg8#p#tq1=r%?nEw9^d4YE}tE`KnFxK)rlCZ&;C z_rpTmDj)#EtqN=2I1DY=6-gQ*F5s{@gAD;pZ=;yya>iN_1Oj9%oTgOYqyS}l}1wpt$?3Z0ukaP zp%9Pj9Ex~)$QW-$maIm_9DTZ7oq1TXK}Yc*tqM13pe!?BJ$h2Dzld+l zmuGu6HsIaBMGzSdX#m06Pr=Qq*hUP%cAhwhoWCpFEH_{(Vggoi1BdG7rg77lPr{`# zxs!}Dc%XmDDft%CDl+m`#WbrQtsX6YT?$7Hu>z!-ug&(XyBVfgHDYW<5t7Du5qUSy z7kk>w@6PtLUrJhaiN!jBj>co8U_&f68Rcf?dox1fw*hJMjkLv>`HQKZc7f#mE6g`J zdNBX^7_s?^zf}5vIKBTgb+C-t2er+aqp6#t|5@$yW;|AC7%boK7wcozm{>DJu#Wh!c|x29V6Y;9P}eCX4y z`(?;l!#Waxg^i}3NYx!t!DoLGmo65D=?{mW9L{&|2Y=CFOKIzidOh}rv6qn3HnVN2 zwR;&1{eK>f5pojeadc8N&_{iBjcRr?jzh0i>G!zq!8#Z87z~@-+Q*v(jquDeHC+SS z!%t)R{^DTNYtHbfF#!p30z00oL*sIgHSRJF%t~f)+!+%9(|GWex(wYHabRqpvL4x! zM05FrxsA~|Qvg7MnzYOOxlsa%L951KFVkO59$t-{QgNu`7Ga&A?bcuk>4$t130FY8 z&lot%EtUZu>X|U&<+?6Pg)#5gaqfpM4wSK=^peX93Gr<-qlU*LxRp8XQDOVn<9OvYXb)twXCr?bq$wEdrdzY0GW@1L;g_n!Z?) zKcY@+*o!Zt#F7HIl0Pw&!&NZi)0Y@`m3GvX2&M`9O{m}%TZe7yV5$X23~^pwX{s@0 zpHw<2N+u1?-nnPdO}Gw+z^?Ov0R+N>(+Q-gb&l; zffE;LzA)d(jEbj8#Jc@+vTu5bg9A7KT!{~A`X9S9e) zo}AN$LzvI~X|C&pr&R=2gO-sk9f2Wz+~N8Nd&h8*s=)Zd=GmxagP^nsiYh{1SDaig zYiaaqBi-oWuvJr6iyUL-Jj7a40GF))Ugp@eUd#vp_u-nNcOWL*yiZqSV)e>L?&jIE-6P2A}Y z#mmF1hyy)Vn)G3Z#s;%F93iEKb&k1+umU`F6|YSdu2k&PWb`872`{by1t$L}O%|!z zZ5S!_ckzB%H5TXjk{9An@jjOZkIFTf)6ZA=j+f>r$s<&?d;?iSq7YK91er`teP&^7 zsS7O~9CYi%;Na-VpwA!Xit%6rqh?4@*vR7-DGIDCbZv^)vVH%uq3i)qv(>@r)~$45 zW^cX~T$=e?YSl_lXM1h6V7{9r!m@P4X=F4-!JS_F1j6E2Hp0?BED;n;VYPo)BGjWU z3f-f+;?nqK*73I$xT0`@D$XrogK~qb6t9Q!QUtGu2HPI686KB>xN^Pt zTyfsrh$!GP2Ig8WO_UbVx-^Sxt3}*ho#X{mE{Xo-y?d)tii@LV+^4|x3!Ae`?yoYd zmsD4{9xN=B7Ve7fyPEbpay^+mc2Ru$F<&r4AKKiRmHQg=#l@w0ya{??eyMoC9K18P z^|sQ2dE+NG?_4{O$(Xi$ZnydHPi*co=Wfq6nIpS%t>zbQM`x^0G@QA_I=gNg%cNC% zK}4vqIvoD+`b{K-(^^_LodPTcofftE-mDzE3_UKuUGQJ{WLsq?Up&k z_$s7*q_W3@zR?`KBe!XTUQm{IDK}%1Kr!ZOTC=&k5;e^)?am$Ar;{A9FN?ZKMzdSU zgUkXt`{-+-ks+fi;H5iqL#8#C+j$ktVXY*G0bbaF>2$U594_t5<||;G$s%}UrZfv4 z@mLGSx<58OH`DU4zRZcdY2~3Yoyyk^=eC*gdvY7iKe{)!X-BSAnKbSxqvH%M#mbdRe3HuBtFBaIlpnRmAaItLg$8>XbfsEW%B?4 znmSv-GqtpPL0_s1s)ZYQ%10R*#Y%t^6{tO^JPL?K0ooNU{UJEB6_mws4(-E7a?R(C z<#z78Jz%*z2OsEt6h4>-9)PBSDtpoV%=VV9P5Dfwea&zDoAs}s>AL-2ZC}6lrF+5h zPkevxR&!|h_RpIi4B!5@_ne`6nk|&`&q0%&e%}7^WD(B~FVL1Jq+<_&4?qXxYS=6B^Xe~tv5`0WpUe4$ue`1XfBA#<)=c@~cr zWBkl0k@h@{{4%l_7V?MtCrj8-EC2>{e7OHPR6`B)JZ}NqK)rh9hIw^I_g&^!=eMsv z3L}wE=a!@z6CsKQg4V6T^F-;Ih(PiKpE8%v@7T)MhOrbuC|&n_oY)NufXu(IZok8P z;TvsR&BnjTw{6H|08PQX`l&6sjnqb{Yn~}@?>6T)X1CPluu^5JNZ<&1UWFeF z?=%Cgkc+$y&dJC^C#U+#I{1V&2ag(80zmXW-b{h}ry_7QGMitTb)Ga-4$7ZLr=axD z{%ZG5b1uJYo%zLYG`H{K_Da?;nLjce&){QKp@h6xZiF9Gnv!Xg-eggj&Nz_ z5^_BvBZ2>GIQ(laRt60Yyghvh%}eFV?AZ9_>d<&~czkYXd~O(+ynxG#HHwGuCf*D7 zn@(Y-((GjMc}%UcxF9?zi>aW~<#$j*ELJMzg?w*uU>b=nAAj<(zJWX^E;%$83)8d! zY?cTh$UZhbTU4q{j231qv!#hbx%7f=b1^E(;+U--eFyR~5=aVcF2O{gk|092oBZzP z%1Ka!^Kg#uL>Wm7u5_EN@Jhfkh9Se5+ja zq4Ua>=Sr2O1*i#-C_f=iW+w9x=4BrsCWLzy%9A9+82I1yt2cZ%a4X~b>D9u*TCA_8 z_4wwkk(P2Gs+KwpBUY3(dH^F&lyI4qVuIh#6=zEjROlpUbSx}l-O?qDP&l<88@=SwhSAG=^4`-yG0k6x%K z#-Pt)ih}wpt`FpibQs!#h= zVuEVIHI{!f{+m0u-XR?T@|n`}=!V@&KjOu8otZTq+q%i{5`N zt>%r#&qH5LaHj#M)8h3abQ$sJHNRW=fH`3Y(B9TF-~3W$YfaUrwDC!3xbO+yzzfum zB|K}-?SN#`#qH?@A(vx!x0Y%PD+7)}2l7lOhqZ{zF^RPufG(Awt}PHX8QJk07YxpX zGg!P)#nQdV23XGqiUX>s0Wa2E;LMc+ak>QIhqd0ZtD2NYzzgM3;8gY`7KHhttlYHN zd6rYUUpUvcP2`3T1HOB$WNh z)7qx+d!1e8UwpEAOAldVEq%Kl_&j+=t9STD6?Ch2ny5;BBIfcy(eukpHpDk~2PJ!-z_-MF7K< z8zAJ;{6euj1yOrkm6uvJ%Y;xz0HQC~?^5u}qr>ezK$E2)>jSMSVD^Davko z9L6DGeyJ=1%pK?}r{1<6_{HG1=d6WPiQWS)Ypb0Ct6!U8h?p$rD-i)gqN?k?y7Nhr8L3%&!3i;5lXW%G4x17q%!MvGQd;GjRAq>+C(pOY4L`* zmkUtAuzvzjvDekSJ}_^pP%Q|sp+A@+TrN&=Uond;SUipu=f(_oB#LfKzcB9`Wo)DQ z()3krC5^ZmI4wlB$XC@ugSwu`&x!Se#~QB7Qxn*>L7iYBEX?73NEP zn*!c)nrsIm$$`IS?7sWpl(FK^zavZVX(SMwojy$*jA1};A5O@K&O`NhKr&AEr7Lr20+8J4-tp0FK=Lo@di=@m2m9HK%O(O>#RVcsCi{S3l5+g z3fg26^rXvQILKPxmDwKWgp$nL}A~gkSE| z_!!8a3Wvf128Kk;6~U*!wKxf@;5=IoX0+@4E}7vzXby3jY1Q33}o2%4f6+|BnzCN*pz+UUc;<8lM(2*gRf z0rhK<>JC3+a6bq!%cB-(dN|kM;VYD(5ua)6+F}0m6Wz^C!BS$@Y}nFqzp7AhngnWC zZlk*+Vz6*MJU(!UmLh1a_LC`m8p)}8PclR40@(TtT~2T%K$(hi0LrQr>>{qfvVbL| zCJ+R2p#U$2?i*BQsdl~8Qb|l!uH)Sl5#qS?(@~X&r>cs>t@|XGXRVaUh|db61#Wm} zbzofJ(j7v%S73-ufF^r9Zvi=lC;qRAs};Ji(T!Te%9~RaYj#0oL`zT2-&QP|Kir6o zFfh*lcCbL-Kz{Q`zDjRzWy<{Xf8E}F3=)8IC!UH;ML-d^1>AI@o)-Y&KXuJiXw4J9 zn9D&?MU5%WOFXp((*YIPG zSSXa4gf?HY%K@l9cNs`w)D5gtnEzNMxl90!!jd{&cucJW2r!gM*Gq-o_68yjmG~J%}dwe&r zoXb9MKJ<3;?(=ZKz)pxfy74QE^WzKf&v=vN0C(wnqDr-4adDl8Dqu_5ae$uYU!88< zo2f3i;UcJZEf1A>XLDP}I;=4YTWvM4!6zCApRQ0ee17F=opL7_*e|A8FIhUmXuddy z;=%z_eR*@I`R=An%a399WmO;r99{s~x(NGqP*%3_yq+PR z-jIdM?Ah1c*#a+^Rw7zUR_+QF5ELX z2rI5y!fRT^>cDJqaS)4FWj;GOI5d2CcxV`!*&1Qyi+|PHwfhM482~vI9cMwd)ks@} z9cT)F-P%>V0J)pt@(5cEvIuL!Z6oQTn8W}xP~CO`0ngYiBRe`Q;GXI~46j&pUREs? zaU`J!4;iO!?}I}-aesjcG>_zA)#k2ZmH*04Rp1(mx&UnCq8 z_OYdU87y;IkNPf|_Mh+WG>`s#_crj(Y2ATF9I|=6Owv5?`R?QE&!d;1XdRg6vL1eY z^{0AzdPKo;x=wvskj%Z`=-AuM1s7Z7UT{>)_P z?Zq)lnHx@#jd>g|>lq(TD(nz)@Wl6Wwhu)u9pod3`Ke4|CA_VXn;{V|c)WiU_K)((Do} zWj)MUjs#{+GtBu*;Fr@9s>j_4dxzJOFF0~PfoLD~a(ce0@Dv6v(xrI-0e6Cpl|yKP zI2L77E^xysP<8G`a+C96=!qpa5E8>+1`C^;HUU4fe=#5aN@uPnZg^0HY(cGp|7dpN zA0`j(t&Z~}|8IW056Q$A_;Ya_N(aIfY$(NcVqZLiq7r2@w(_QHqAx36O&PoVVRGh` zf6>%+9H$Ics$?uO>7oMhrPt-locl75AM%Ai7RROe5Fn7|+CQPN_8funrrp`-z{wQa zGaa>P35JOl5d##*-WO~yY(SqI4}=(qzr+(f*{Xo-&yj?r1h`I&dj5{E11c|8;1ez4 z=zz)<=CR;=2r%iv?A-(ulCeL3LrUZ=7U-}!{+K(=f)}LV2!2)Zmckr=%pDywYx>)} z%zv8#C7;JLO*oNdg<+u;f;w0Ue{fy6!Qw+wd{~R+k2(Co;ulzaM2e4UvHUTIKS1nN zG_Eyjjm`lYAj86>;K|Qn3#tD)%nAS&iqqoT(}6r4+kk;-z%c%N8$(o^pj@z)l6l9> zBj0G-dEO&qZd`Xk;Wh(>`WbCw-+7>|)iL5}DmePx#5#k^am{zO_dG#R3KK9&<){H_ zsDwQtwsR$%0od&vR2EE>Mfe+|!*hy)-gM_LUYq2J91j)wr}FbHzPwlQvXkF z8_XBJ(w1qt0KO`5RfesKO}VlzRJJ`ga4|q9D>GN*T;)(`&tRs9@wYcPGKuP98sWY3 zNMH_o>47R>3A?~Irq+i=lgSL9KUdQe88eB8`sg^GDlaI8vnYN4B7V}4sv~Duz?r&={FI~*$n&t`Mf{2586(7vY zlbsp!@`qd2nPVSs*dEu0cM9r*5$tnAU^V1%kDMv=6m1H?=*k# zNNe-0KydEeK%lYV0Vcs0X71-&^5!FtV3+u=P}7+Tm`CSk^UX(EGtrD62ypIIw!QZh z02rNDipJ12`});N8DTWN?cEg|g-pp=iN=`0*`a|rIEXqgZlI|ftENw8-{4@9)$k?k zso``Qu+X6C++yDPRNH#to(+%yFq-cqV-n@yrm%c7xUVgj+B7Jt2@gIDLjYTCMwE*e zoqKtDGQ<)SsXM}?~6NtU-riil}NO?e!lG=-ot2q|oL9V4(q zdJ8pJAhNwc+@OvPM?4l&o?tED1cE@|JjNgRsNI%u`LnVdvcM-zcQ1yU!2vQ(eFyUA ziWMA#K`8@HUJ4O*Mg#YNr?F2fk6E z)tMQPbjC^a;{OH*L`(LcfJ(1H+b1@7zQ11AA)~P6w_K@D?cI(k6|lB*eE!C$XlPZe z2#r;*m*FpY7#_dFSTnFPO05|h63^hvuR z@hXQOlD~Dx1BdZ@SqymHfv`{lH4P5oaS3V8$J%n$EWcFb75pfl3D{p z%hC(dSy>I#X5_P7J8HbxBjBw7GOEF|FR9Xpzo4%9^ZU1LHQzb1clX*O2M?OF-)g=qgCBir=b5*U?A?O`rOBov2l-+xsPg!? zn)}xAFVlX#V^?vwk47OVV@-&eA!|dpC7rvS8SFh)0}+rKU8#cgGoyC#xEa}(&2O0* zrlkQx38O*4{<8T_fOp8e1(xZ=4{HCwxIkMo_gv?$mfqBMM_fC+rBv7M&9AiXH2?K4 zn|EM^|lAD{3oYMym1e z^^OomQ!Vm5i2f_Qk;S`FS0==|=T6E`{$M z;4^l9kmcrcK*A~eParKu-CTXyJj$Y3ZqRuEe}n#2sG%cs%11kIFo+K)a_Bc zg5jFuHZD*wb%QzGQN5VWH>(c7*r16wAvdp?F;7f)s*$)6RVd-GOSN-a}RS_!MxH6Lzk+hKnDXd5nj z&US7xUu*4ZyF=Wv8r><1F12w|1JBf3bCocJbr?3_H%BU(=TR=**su zonTFXl0cnAI29%bOrZ}k-Ul~!Z87IIwXQd7XZE!BJrx`!(JQ(HYo4nx7FOYGhomFs ziFVvw`TEn%JI&c^J2#n^OU=!-BV%KBZ{rBXgJW8cVmwCkjp9${aeEh$(NwN(JY0f^ zj^ZGuGQO%}3K|aK7Cft^%81?=D7`lZ$;lb>(hZBDecZNSMND2o5NP`$KS2+g@Iq7Mi2Ks+P=^4O|B zVdMq61vvDu3E^F0II9=(XA2C;^QRV=`jf@!cDQBdOE2g_Xz$rmPxhIw&bDrEgSa1Y zY)%0;?O)66G;Iql8_dh!Z`q6oZ1=2Z^!aoV2c`uC8Wr-mPr)mIicf%SWBLkk^-M3p z;qNcK&E_#q+zUQgtQL7c+yM7BMhu?)&|YZTDG9^fKxkSCe$338F9HaK#>HF{&Ge>9vLYQ@jj>V_<+s z_gtTObh%X zoQo&PgPpWYp3{irtFd^!)&-Gyrnz-p0~G*^%}IC2g#Mgeu%JW;Vmd`JJOziiL}N0D zjd3u&7Z8Gnj|cKY$Bz#sPW~TDJ^G&_TrW69gygxJ28r zs|L!B04Y2`vA17I30&2oUbOQP@#Myx&rA2h!oP+!q{=JIJg&lu)W_K3*`=|8-swjf zuZy>6@mA-P{CSKIOS>jP?Rjj=QN7l%e$??yqmC2Xgln`M=+!1%vWNpP$B^TfXO{%L z=)+L}Sp$^Omt%m{|Amc*_L$Napik*+xxUbqAj)@td4}-pel!@K044e`pUkv(v;*zJ z$rnfzcnqrM&0lWqGQZH=w!U^RR;5uod9V{57#co$=*Zz`uD{%?;CbETZ^ip*T(gNYQs^rBy=-TH4N%N zOAZ>;s@5>*YU*K7SB>Und=|ulV1-k~w9_$SYbiopEj~V7-@_GT6*q~7N=&w|>lDD+ZimNf$zl;c!h`UmiN4e+d@lCqxdsb4^;K`@DEA}AciPB5hmuNiahwt*7Y1Lup_ zK2e5Bt|76ar8N(Y6zaz~Fm^x`vD0{&=TNlPNkHi$E@}w++p4AHpz#VdVAKK@jUBH7 z33aeJY9=Z)APNYl6}bYWD#@9pnkV0iRkbE)n5Y?XRRRgYut{?IE@}?22u(^kU&B?X zCtspULqvKwuso3i0!sGQgj~LcGG)M%da@0?TMXJRBJN98h=>JtX0`eXDuRkEoE(TY zvTRt_Jt^LZMT4^a`9o0SSbS$tJ6zy6TR;I;00S^XOQKdy^F-KcAd{=dHKuWY7+NdJ ziqApAN$Cp2(QFS%@(V1|w8plc_UHt}v5?xfzL1?nrD&zIjmlN1qrQFDkz~~sivIP2 zZAVsI01)+tQ*dd!sK;j5)Z@b;Gi>S$9Wr6S za;fnHM-?14>-r9{nO4ZI$@s9PshH69p%_aFJED@z8tab;WNJ;zx~!-OQT9#r7u2$t zS+N@ChSif}!hlY67g%SC!PMS@S{9WnR#SvhO9e=&xlAp@Ld=Fs#fYt?2qBUi*0Ko3 z6tvo5C4}NpC&n`BAIkuU00HH^Rbg93g^IMOY1k59(a>VTwiI?or`j%FM(a&55B)1G z6*-BP3JyDncuurDY3BNkl~UtGW#|qKIkMtF%3=eG{msG#)N?f9U@KJvQKD)hQim+t zS~zSU4lgph8mkbaP_mSAxTi6{4uUuBBlolvPbHm)G(C*m#P{2-BriK-~|0{d%uOzQN7<)jZ{(#mx>Od3xH2ACB+ z55+az{{=M?)B;X8q5295WRWjC;|JY40aaTFNOr*6j;l|xAr4bc(us--*%F`OJXv&r zE#d-SKTg<+HjO6lwJk0oMYIcBoy$+>`%fSo7x&N+*Nht`@NN&h{-JxaJ!{O-N?W)2 zQa-!K{4IXHe&3_n?a7a3q&@pv$%?zP*2A?(TnocJs3jBg`BSV2tycxkHavV(BCFK7W}vN9E}`|MJ|pHaw6&Gm9J- zxMa@56`X`F7EdkN0P_VT)~U?Hul1sN^FsDPGk!Yzr>*MUW~i|w)iIy#1x&wl4%tNi z=3=(J26uWMIsBqv3b`Cb7xLSw^%L>4k-5ePn=Ot{S8RKi*Q|<+@0B-=8c~0wk-#s z@F`Vt3TQ^oWxGFmG23k3_;O3T`N+O(lX>u5whNzjthuJApI`Wc=2r7sF1ry|wSD#4 z#cbPJ@QOh!M5oDrz9VCPHJ5GLpnaQH9&OH<$IoRqqobTJ-t@kgcwTT_PV;cAzyRS0 zQ8+8iYw8swyn2!;Q0~K(1ct?2;$N4_B^*k~+!a_5E)4Y1HDtdb%6cbpkLDIAISQmC>t)QRUx zyyYxmCzWax#voTvn8l_aIrs1n^^&S392xI>IQwi9E*zC+`%f@0uK6bqXTOeQ!0>XP zW|Xq|P;=K#Q~jwNxbD~T?dE6CWZ#&=^PP}fA4}o&sJoOH#Z#afRqsUDfWe%&S@Zt0 z7cLdRUKcJS90PxiUMk?y|AG7jzTsifD--5pU)sH+#uOw{g3nK1(u^c1l_qDw<5+h_ z?0?8Ady@Yx;i|c$1i;V?+r)no>VZiH3jmG?an-V{=gtBkFk@$MPaXh?yw@b02V6#Y zi4_Mq4m`&Qw$lm{Vu!g5$b1L~Ti7{qW{qlJVGI0+DPbKL8XV4_9L@Kh91)A-Dx@O_=)ja308ruGIyw$ztRtAjvM~5o3Z2 ztjY;cgJs-r!nG0&B`BKwSgsTL3{6g5f-Vs7<&S4AiR6!KAQoXUpWBw-CW(Tvf;?G7 znum!Z;&m?Fj(lVmYnKY+<74-ni2gi)bhDbEp#KC@43CZ7naNCou%$fyANqR|&+IbPS}@KF@!>I zo4UU_fEoCH)7CZn&G-wgJ!=8K8QR~rb;ICUZurdD3$5E~{0)A96*IAj5dmgkhA@5F?mH3`0L+1YJ}FT@b~{ z00qgg;k6I(L41{gu)_j{jvPHH`rj@-vfRG@W;UDI@Iac8DVp{CDviuP z--mViY;X4Ld%{=;XQfF}0$oa6$}aQjzuVor2_~N8Ix(;OV0TyTd||Q-+fL%^Y0FE% z!E=RDSwazm<9FVAD`})6FD%h2Iu0|MxxrljvUp%I!8#%dOGTks-5xGj7p_d`Dt5k9 z`=h5PcxTKvq5bCoYLWsZOS>78qhEe_>*>01ofP znlXg`hWoA{+gGfo+646+d)BVf79QKx6?PRZszZh0L3}t91ohM}-n6!F;6Z~KZhrjA z4_0z%@@w7*afZJQs+2@lvJ|n`AZ-u>B}k+NL^&)>VZT(FzY%R8t`r&S#8^D8&&ZW! zW5}?{K{ixw*k}a8h?gu#la+_;=RLUBrmq8>^Uo3>eH$xlXb`T%0g(A(WePdouon8{ zuS#n3%6DN(1H?*Iaq!rXN0a#B4A}EN!1 zBr`#`=u4DH^o-vI1jPeQuYWC@{p;J>Uqn`a?0=vsv2Vr=lmn*ye3sd)Xw%nT5{C7R zC=^wOf^nm20Xur8ljc^PTk$ZFZesenZ4dkv(L9-#%U%Z}McrkT88Q*j$+Ty3!OO-A8rb&3(S*^lJ=Kx;Fe09xRZbyiPnLf6;2yzsAg~f6}@2Hs0dP z^&nrjZ39~4i3QtAo_PST^NY50UnoUE6I>HcG~t(I6H1{SW{kXcDS~bYl4(B$AWEn^ zg3Ner)gxV;4A@1z`c`h|&@x@7_ULAt1a2UhO#S>FS|iX7KrRHwaTG(lj7Z9#(EkRt z} zK<#%69El1=fHU(@#5m?Lae0BiJU<4zkI|FrWFilJ;~i+=?#FY^-;oC*)ItF8|7x3! zywySK-v>W{Ev&EphlV=w;Iq+4QBmsXb0^iB>I30{7}Q|x$4w~vU4 z5Z}}3($n>F&6IdkwxQQ?e~N5?r4IavK513eX#wr)T;ZX_!;=oo9KtaIZCSqkfpjS) zBypl7@C}gySxBik{UAC~r(sUhk!6%Sb8b^fiCbATdTMG0hxZa2O3i~8Rh=Q?ah!Qn z*rzNrl3iKIao0e98WIO}@cP`rf}7AGyc^q=YVI z=oN}oKV@%tQXcGH@)&T7({nJ;LT_Sl$Um4d@UlpKrL8>!f+9%YPsr=115PA;B`(V` zNk{KXwJh(&nI;A8+>ir~C_SLEQ>4B;??wDN7HulJm+8>uUy=tfAp%P^ChVr&C!VnE zR!ny6!%D~qrF63;q9R)omV;3>UxnPG!CcyuiCn3? z-2fK2CpAPz;>&|+GO4t@l8QF%;C=!exR+DkiMPoe0MzQvs^jS-n$}ju%kokuNa?h? z(+N1iAysdCMO&|kMWg5GXmsSFXtYsF52}|TT4gT|s5b}kX1dhLpzNh_=Vb>5K~ObQ zG?CXF$zwf8m8nY?fV+VMgTN}*iEsu2_V9I0)2&gYC8r1RfwmcjK&uGhGfv4s9i#(dw&c0X=L`t4~rXrmuRL79i7Nho>vTSP9A(OHRZnS9M18lW5-I7J)L_= zz`9ovIH?+SvR5z}a56TGs8hD+Xd{_=09w>t6c|Sy@^-RX<^@a$Gjrq$5z^c>=CL_i zLM&x0oQw}*Dd|eU{^NYY7r)=IybCT4-Lyl7LfQzmzZ@ZgwAxV4@-Ox|QtOxL+AdE+OyG%Y-6!a&f`NX9j;3Fb_@{43A%P3Y_bbvaT=d>0-^Das zb1&a7eV2XUYj0Nu-Owd_z4Db|e4-9;qo4B#j|=iKjYDm{AJiDmS7)3-{0Kn(KOz|3 zwH?m%bHdK&YowjvN=l;~&^}b^H3s zerfyQt18Y>R~TYPw^~?+Hb(>MH2hxl#}nWv3ukjX$S zCLm08jicPF31U*p2ond?boZ3XIjIF(q!a+ZB+i*6Fc725NZ6;-p3n@C#K?KM!s=*P zsa{F5_QG>@LS*n#TgK2KBSss#~0W zU#g{3L56B81%Ci`7Y5m~=(a2&(t{l;-+@8Sa=U6uxB^<8$$OZi-%9B6W^uGWb`l1C zosbADfO8janawKeS6uOAUA?&IQ>joZl40;e37qZSIGPtyqTHG83&pGM!}2{86=?xK z4=psJWUl}ZRca}b;}Q!~p;Mk0X3*jug+>>(a`Jd%X*^Uu)=_xKg$jeYZ*s{~l86Lm zB?j?$NKv}HiQ5x(g+$vjl!;~{h+UWhg~aNm@b6cIxN8T#l< z1JBlD8ln;LjjMP(INiBQ(gV=}hVd}s&Zg9ANi>&)Lgl;Us`+EPy#~2S0%gni$Y#o^k1Cgtx&t=7=__U*AWhuu8y|uXl?gBZ*#UsIL;G1Q5UJ%*yXaJil<0F1a=W&t?jvpUj2xlypuHMiu z8?HJ@_7W>D0GEfRa&i+^|2yGo0KTxr$R8iM9Gv|tpl1Q>td&&5z~x2-1SxYTl($O$ z)#zWIdW(Qp$+=k2uORSZ^z^T3JOV1yW2i+K{V%RJdn)Knf-1mHuEa@|d5)i_h|^1s zO_|6AA9|`F_%jrbBlYtYxb%g}To0%z7aU3IMSN2qbCr)-l5X@SACmLzx@Ss&)$iWV zM*-BMo~I7}zXp_!QkEvLWD>hkJ5iofko1EB@iK4@K{O{MhK~1@g~dp zVC=>SqT|{`y?E$Nv4-LqXLJn=q}6h;ml6p&`oxl|*^pe4re^bJ>9*PEwQ;j6rS~@n zpJA9?SW(zT8`w~B>|EgPWOT=IF%A_FP$@E9X+x)*`EHO&AtNkv%Cw@k9}9Tmo8Md3 zbQ0CJqAZq{7e{eV4ZiuX<1UDJiFR6vlNXB5=GE;x?>~}itq$ZJMdpU&pg75F?n+Sd zl=7z_u9H(eY&LJJ@blNq=GRvEd4tuwt;y{~7BD*5Q`#I!(95Dzq=ntfWYijgbK)uG zw$G(C9VAanpNX2ti()zJ)U&A8;!IREB4a9(;Og{FtPD~KYr(0@P&)uC)MeoK$rDPs z^z!cHicT8o{5hPnjjS{>`#5S%R&C%{T#F(ywaLbnZq3XA%2C@WUcg@D0|T^w7WERc zmO?yMn`{;*@%nYkWZoUfq>F}-w1$qPJ?vOS*`5-guT3^}Awic0qsfv6{0+39*LoZ{ zAjlMuIR4v%Qmt-EFae)DG7j*$pgM_lrFYAq?vv#gm;hze9ZrU zF6E&KG)Yq3{)u$aJ4iOldYf+1&gM-f{6Kbx`F2yZhYnopK8*-BlgP<@>Pj ze#EY8Kf9;}K(z)8R+1!;u$)Xp^C&W(c`y}pg*8{DRB0mas;jDONQ*m8=x8h|$qn+Z zS_(ob7qKbPmpDmfuVj^uGJmqlN6~YDm=?xLZu56Hj!RR9o!^e`uiT;tHdZw=at}Uw zko)M#9(p#Go)e=xPt+h4o|i^X=fHr1OIax zK%$lATJ{_a>c@iD%m*jMd0sPTn4-j15MHO9gcwg2nijD^S$E#3CE(D=0Zffp)}$!& zxjvy(lv6Zyh!zA$O^pD;l1ZgD((UpSjC2HA`nsWbBft|2HSytZ zev_i(U6*sGR0kNaM80`SsKg3%{-cANG9+&#^aokbfq|Z20`eFnYNB{cPSSa#j_Xng z^j>li1JHcj=*`P}tU7d1>wjFvRa~B0;UE|B6IDM;#)1Y`reu0R-0?)Bz7D04Y7vnH zMye9&ix)2(RKcYf@4r0R#n} zOB@ru{WuD=@R-;ye1R4YwecM1_+hAdKwyv{+5M~}HJ&owQaoHhO3dbK;UjZdAEa2f zO986Ly&k|7^o}RIz9FfZj5JHQS*RJtb>=r+bP3@IdRd1q9s=aRm$GJFcP=U__XhAv zszc$uNXN(pyHmkqCEXAhm70}}>&@4vXQ)|V)L^5cirA!)3sT&ZI+qZ@?>wR}+{j1w z`Hf0~00UM*6O<-e(*H+oC()sdSbz-9@PR%(#5wd2YMMaPlB{^5f}f-m2HOR+1)9jE z1X=(L>Vwh~GN&~Ec?|0ztg`X*9+&%-=*tmE2_B8@Kwk+VQjeWT>{mhlB=EA}fC{41 zFITmKXFSKt&3a%o*O75q3%Ck!y#zP#(8ZzRUf-j6K8e>tv9@xb<|Enb!twC@hQ;fm z9w?RzmIn=4NKaL| zBYB(?XttP8l{E}-GB{Blkr|ky-$cb=+L;4Rc_VHG%#D*8HHSatajOcum9 z-?EW?I#p`R1;oZ36s1?Bd1Wh?-9arSR~};o+1@3^LX84+FK;wY5Kt)K(G+l$CW>hW zXthW?AAVin7VNWJM4Z^b(N@9X%grF2JvL9Lx?X8H`bcpF^?{36rAF|LG#ch#$q4yH zB-p^gsE3`h89R^V`xRNZ^uBz&6-cf?G4e2#PIW%ey3Nb-TZ76q$Z9SdO1}b0SDyGLH@$mOWoU)~K!|z*1#^ zR_IJhcL3OqoPAWZjh!WpbkS=<^=;?PfSXkfq z`jK+90O>qn7L>;z%&>e5>!|WED=MVw+lfyzxB73p|Bi`SIQADm(U7Kczo=VQNkycMg<+@sT&{v1{9*_%Xm2U9`~xOjGBMR z-jRy=FB&?T?WFZapC9dF4Zc;0bIRm=0oCZe8W2-&9+a8^F5M`gqWTPU0iO2(79fDs z1Z5=f6Uck+BRD+|>avA+zC>s#ie599)Q8_=U=W$Dk>5z3AveGVh_297|iqn^e&V?IDD@#=P`y% zgO?94N0({vfXDI=P{uW+1mg-2Fr%v2etK!yiaF5M#@gVK9Xc?Re&J9H@+OT^{fu zz^7=5Z0-~FCgmfPqVazBIGKKTwLE@w(dS5i87qKn5&~N4UvR2rE9HT}&C!d_RMqk@ z4zJmJU&^NKP+$lk!DR&+T+Q1B`>!x}$H3uIyd}=vCAB;%Y~^DDY7pcb=mwW_T);3?$&kzEuKw|CTj04btK$;d zQ8Z}g^LHe#m8MdmGvKIfHb-gXM+z}=Nle^H7Xz~@Z{toZ=r{zr@t{_7^8hN@JKqS( zufR0ij*&HYaN#_1ksY9?#JGgb1>1S-jV7TWP2uJGoNB0}@vFG+iG;ndnxay|lhq-N zYBz7`fH8TLn7a2Cdvi0R2k9KH9(haz4q}|c6|PigNT+ntp&VK4^v%+7RJ|!wVF zsTz-}6V-jO`C+;h*e%GDM>%GTGfw?l*)jG2MS28j+dh#djG`SJzGT}}WJLRpr*L*= z1_xQ<=72m(-{d`!eZ80MJayM@xg8yqIyk~-&);}I(78YZd-kk9ssC?P`HrIMuoQ<1 zLJ^4H{Ddz_CeebFJCzbSAF+SGaOai>~= zK@@@(<_^$ye11?-q8&zG5^a6fU?Jb_=#$;(d1#f0>PC(gG-S#AVZIgoj*F;V{9OM8=?930~wv2oZ(0<7(Z$U6Afs$&UK6+|D ziid$Ju|@gJ$pQd(e*yQugevL9I(7&6jE?l&M zX(`m0Zzo?4c#8=sfj?gKCB8}_)L+1>KB`l#=F7=FSc*a#TFgNhqU|1ZV6O7IoCCW@ z^YVxn@xrH5E6*z{-mg@#?5L%A&P=%jvvdX~l|L{2rR2r)a{ao&xAf{)^7B##N)1RY zh-*11U@7Sz*OHVwO45XoQg*^zVp}( ze1aR~did;q?@eKAQLaDNL2E#t%Rb8WIdQ$Ke2y--I~Fsal;Tj=?co$Lxf^hHGBbli z%H+04`NLQS356Mv`BdBTu9N33$xY-k*qh`YxfZx8K%UG-Cz^>D-h zytYi1`;_P@`YtJzDLt)b<4lBn04$*V8UME{m zqh;`o$J^>!iy8ICka}-Vw{wL5fu7V^=g{UVyd@7%l;7P`Hu2Q`9qrw78*$E<`sO}! z4|7bNch=dvSB~$UUAYGyG;UduSHQ^YT8irHuycD0-js);Q=i~9e8o@~>^>J;!uF)j zdiD0*xc6~`*X=qvwlf;evGpGKTdH?`O=X|d5A|5wzFY2X_C^60(%|Tn#z$O1PtMDY zPvY({7lMuSo1Crcmf&=Tm%lp0%VzGYZcEuCM&GDZ*ouGX_>k4?CWz7 zR<#)sd(ldGFMU!tcW|Y87Swk|jJ2a*3@b2VS7LDF$3f1UgSXvvXj>X0U^l3nd87j~0G~c#AvQ zaaU#S>X=oezWn$K^xEZ-Ip5>oXV3zLG0}#yv z=(zq0gWyN#>%vTzQf(LPJ}ol|aYLBx>NoeNA`Z3yR#W4%saKPlBPBQNDmk~&7mnb_ zR|t7``P)Ip{j`P&1qk7u0&4+|#c0I@NdNBIN3kUAQl9l-rV{tSl>X@7U^A#(2aM_ zD@r}&4uBR4>oA?FO37MHUSt5##SC*gCatE14bNz<9qB z=nIZ6`sJgPLVsNZ}0dG9CIEl>7=LSF9xkIP8jt%Z9F+fL2v1!;yI(|5b*r1lzGe-~vE= zNc+wQoYPDtN0tQM(_hC7*iz93O7tt8Mnf!)HW%n}tV!kSSCz+vHis9Kz%LDerDE;a z0b3f{h}XcSo|az<`;{ZjPf>=Sjtgh%2Yd;qAyfWipP%OemO$wsI#EEa}4ZO23!R~`LwI6 zCV)DsLRwt6y*$X4h`3aL0C7tocYxnYZrxuBaZ7+;saW%zL%#=mRFe7;=i{&-gQWqc z=c6vkwg%AVc;kdKzvFvU*h;qaScfMe9q0zLEy;==BUnp98DR`r0p->c$^we6g1ktK zg}WUCFAijzn~EsdVkQ1%thsp}5Kd++jS-!w>t#5oa#%N-l)+>$z@f-Q!4p%S zk@By^-l+;ePPU;yRQ}*A;m6^hq5Hpl&SJE3mzP=B4z?CKikfmo=P-2zol8%a zqGC2)kWk4ySZvTy=2Mo0n@XT8GT?mlRP_Ezd?TKmY7Q;HyS@}b$#JLz5E6D3aI++~ zkq%&jRve_9|CeyH*nkxg<6{+fV86OKX51{yCw@~|9!Uln+^2tuQ&KfVtCEwqB&J#V zX!FtH*(Lv|eyjj#;;E@-<5-wx$%t_pN+DSoFH+vcCE4a$@x)YfVt2V$S7xls(6R6s z6|f;aHaW_%%=cJ?#0vu|&9|g2_K07OH76t_uQ|$m%SZRkKR8BUzA|4b`#-&M|CQ9i zB5ohjzPF4wx3$UqqnG2QH3jbrHqub4cR7t$In!IAMKIrsC`tmpv(!g7(6m7jnT^{xZ5KG9_Hqkm3Z(0OH|G!6L2{~o!ag?N3Kp%C_ zd#UII<5=`sl70{B9@sfwkG^5cL;K)szL#*#GHJR6d=GCLi}x1~L@e(_(JOm`Gytk!cdEPjgJx&7B2WS~t=CO!$)2JuqXD<%t(%|At&HEL7iejF0 zma#>J$u17-5^(CKDUUwXe7r6$rIi*Z76*4>)OsUzE5R-cy({vGCs~ot0j#Y%GaCN}U!Fi!Y+Y z$_4Of`9!}QE`bp**iCg;m6p2T7M9i?0(x~G8UIT#6@5z#L0&#uw?UxF@Lxg6RGMYi zfs4_Nf2w{2mi6f>{Q1e3rHwXUKs<#|GW2CyyfV;>zyESeYp^Is7!HHYPjVozz z*}1&NWh^&?mLvJ8!VKN=l0ie%QHuvpup5iAbh@l?NY)LZ5?eN>fCmNcq z^s{8+Ngl0AU@h=wNy(PLkbQKzefWFFa3xiN@uf#5e zq#Ip0oTe46MUrafJcw0G3Gk#3VCo1HK`6YWF?~%dj_D0qYAA=?UpAzx087nWQdS}e zwhs|>w9^!$E`$@e(L6nmcia~PU<@om3Ga=H@KBG7&tKYg-@prWqmaLpc7BX4p?y)N z(_QM)3;0(8BEZxNageE_O?t>hW2vJ6LWfF&6k+G+EFxHd*X_e?Q<>qsb2S-d5pabU zS%3^3{*fEal4^I#NJ)QZw@Rx~n4z1zP=AX1xm59}+$OW*l4-ifOPx`YLaFM+VVoLL zDj_9HVB1BNGxOJ$x}~LkeXgD8>)Uy%ug|}v#W=-}Z6A`-5`_yCrTf~!vQTPMW-Sxz z7A<8jd#isu-a;wNx?_I}Db3W&dMi$u&O~vkVE$K3gu~J$P9sKBC|K=jAD^(eEL+0T z|1%LJn9?TwKNF!c>SR{tGm88*pf*cP{O90HWXWTj|(C~b;*o=X>PUJ>%1-zY`!nV~c_O6c722(PL-pzX_Ov|U( zI68s-6xe>@oE{N`Pso6HwOqzcnX)-rEOJsBAHa(M{&WvXYz|}B8Owpk{XpGQ66Wxlny}D#e z1owaf8`+5o(UC|lH@s1!GQvyK6@HhAn|N|n8uohveq#D>;dGpd>q6&dQ{#E^9twx@ zse$$6cwpOY*(H_D9_S&_-zlCh}R|8mbDZgY)=lZQj!+deRd<0ZKmpba~4o%Ur8V$;r4Di78f z&4NcJb5r0E4{N@$wg#r>&U9ix-OPz|(XLwxOa_-gb%o z`J(NFWLr`0)5pFaJXw#1D21eLLFxig?-d*_;68>%hmBNCY3pEG<_t@(({D7`(YlmZ zg&s&p$r)6=Oo(j&XzZ1FTvJPaFX&6^g4Dv{6v@W~G>RhuuBbrmLFJKvI4Hn-S%>}* z9J<`Lj5nZt=#pIV(57Tt8~3r?>b`AVXCeo)Z5uQVRM}|-Qg;I@R9*rd!zX|`+0oX z)H`RhheCJOejr?BW=7I|XlGMtG&h4`-kMupA^z6i}t=(Jq zFUzm6t3qR$+{EPUxNZEg`D*^dh}M)nJO#ghG&_}tjF4`DwHVG#*|Fc(UEg*`yec%F z+0Z+l8MU=Xo9^s>#I6eO%TJ7g0F!p;7sbTQoqrBjg$ez*Q@LQXU&roi26)y)c6y+{ z-`1|S-?!|VNR>62L2Pn~-SEGvzuCFs$7q02v%NF6_TK7e)&Ln+ewz5$emA=*`m@&O z*%u>KwbPk7B)_OISD824{P)Bor+f}mIzVrJG4{q{`=26J4YQWc&9n8Ueo(CNwOGxfiZRGIQ51$)=~Qg7`!@BU(>iVgS2w9nSx z*!dBl#x+eb?J4bY?b&Emd@Prp7#+>d zw;HZ0uKxjk%}&p{S;s`|r}2jxpN~{kkByA%%Z}`yJ&c(3l7#WlvM+T#Vrw;EH@Z_A zr&f~5N@!2De17#c@hWpXJC&VDbbPh$;q|@$0pN2z>7J>C_NThLQrASZFp`vcx_dgo z-W~r)gJiH=x_@JFAfY{6d&{aT0mWo?pr?PdzXyL4+HEzruX+}YIhCCQKTPEl+RtOx ztoaY(vzgp@ZYmM^e8UahUk04hFcooA4(os{see#ZnC$qFQL7u z=F!FnFdHbJ+)SeSTTMUcel$`QnsZR7y;%QJ$1lKihoICF;j7!poxy^nAEj*)IHXDKVBZoOlJxs`*iJD?TVuIuBaBlK^X^eF?oJQ*RE!7(*8M4 z(v-zf8oG8Rxa}9j^mCI1U3(*YqxO%{s@Mq5DIL#_=8#aBHMM87E41gMRnf5#NnWU# z2~&GPyHfjpw8|Q%-REgjdlO!LvBocxq$i5GDN~MdN3_bE1+ZhL9OPrsDtl=z zRJBIk4>dr6h?@zB3pzl>BRBoMCD!_g~LX?I5c zIrJQ+4)KBxo~`QsK;-)H;2$DY#qbyyitts{{VC%iec+{r+~C7 z?LGECMm`G#HbV+-wyNgm*5l^WV7J-H=|a9Zdw6m9}@R=s#;A(fV<-({b${^R4zxFaVj+e7vZA%l>rB=fheAj^g+fC5YnM4b8W7 zd=k?f&W|3BYd^1fqUG8MXr7tQ6*3c0kmH%S@!8t%FZ)->Iw}3}xb}R_Ey>@9wa`o! z6UPtiUlLzP64Y>>;@aKSH@AN>qOk*maqaqs|GnZyyULcDBCbCYzN-53k*XTV zJZ)zt4g&YajXyVE$^T$$HfXdjI{^hf8`rLGxog!w#H+ON_^#`!AFjJryO~T1RKf&x z6?$j#{p)W99dc7pDe!R%*{P9Sb~es#uX(QJyTH%Ix#1k}^X8P=RA1To0)CjvK=n=l89$5u{i-*Ek>D_qnvK`JBmRr_HQxYv zr}w6NCV}c-*Zt#(ACG9&d6)^jq~eh{`(^mCx~uIfb|4>TkJ?{Z@dy|d3Zd9Hoyoys zsx_3sIQyXebnQEA&Dw|e`vAdDtq4jps5`7G(NL?F%uOCm6Eq?4TvB*tM~$V(bu5pCxY#YSfZu z?7mo41QsDTk)N777}6dI{V(%o7%~#nnYoEq%|~KY37W(71d^cm0|w5H zM&u-(j90OVk%;zC%m1wZ6o8t|LDS&4=7EUz-RfW4H^<fc81Q#^E>ZfG+i6A zb;g)BXj@@h*WftXNroR|=o#Pa=50*dY_miiW0_&FSv}M62M^gOd>Z^Ua%0nQ)$oJ1 z-^TwiZNko!~A_FoJWAqNBD+x z6fd#9Nt-ov>)ItSbC?d?I>vNssCQs6Edkc8jlDyghVZ*-h_{UJbGd{Gjub(n5A_{K zz-gF>ML^Kkn(8Be8sQ0T`KC>>Q?@w`c=6wH=tXA)j>g3DEFT-W4!{0~t{FY)^#I`G z#uc3ms3#aSww{`4%p9MXgYzgSoU>!5!3>gbJJPy_ro5~=-me2}eZ%j8`Mf z4ky}mpjwZ|#ZR()V^Y^mQ^&~=wjNIC+96vD$3^cLzoDO5CbbV4Ax-ZicRp6b@ZAJp z^nUb4z%XQ+Az*Q{twkHeFUI(q7(oNC0Ejn3qJ5m75F?-sNmihD?>Ikq3u9@_K-Y=# zgeoFA{XsW)9i8J3(+3EXXoE%)NuY<891u^9^T!gpVQE^7{Erln9lKn zZJ<|zGZGcQ%JJ_J$7%#{C?uY`n7No5miEQWr%0QSEu<|Md%StDw|gBG6=+?L1(K-s?F{*m{G_NLr_9ssE8tI919TQz%BD5Tou=aI z1N@R&edGBol-|5?B)u8)hQ_Fw;pfE?skJMi2!Zp}{bF*4pI^+OqqtOHM5+8t!Gg$z`OZiuD=Z(mkJ;*al%B-3$?03Jk4HVd$HOPo{S9ZCv;GRqWyQ{c;rz#KD% zkvOom_9;kKc6cUZ*I)o0W*r1wt5Yac*f(iM$mHZQ(1T!)346rSuL3{i581JIX-Ck> zWS+)>&C&D7921cG^uCPU%d`tj9f$GS+StD_QyU}oYg#zUhMI}k9FI2ZMuf51y#1UW ziaZ2fLL_5r*M&bM`sR2`(InLc(-KJlQW<2MVKoQ?pG&NR@(g+;YT`TGN?UL4(anim zVQ$oJ4JTHG^=vP6VfPzMhF_p^Bzr(0HFFBSE}#u14R)BY4hTV#aEP&SARLp>z+fww zwi;G&62xO`yDdagvq~v~PcU?0pKaQ0j1_V=3&#y@1F#Hzi;!g!Ock~23=?VW8CcrJ zzKAJ9eH$!jgb)@`BEmMKbx~5zk?OFTdnm-hhn+A+Y&yv6ihxWb+J{3@VM2lFNa5L- zuL%icp^yntVuocx(3t_EkB!+;!vqa7z-7ZuU5EP%2Z0%E3Mi;;wHWd&#QJO^2O_cK zObBRb+nKsKlh2IogUYNn_30UsE&~?f^9OlP4WxpZaNcL}I1~~8d64thZZh=kz|9SQijjNKIiOqe^vRqZ)lKoOLwx0mxMB7VBfur9 z=>Wsw!F+BM8o&^Bm+(!s@4~aYFbVPp9%t7@#QB%-z9@!K>aL+(yyFtyZ`XjqfYr#d zo#M$$_}MX2hdg94LlzE+?!&xefEm@`*sKjQ8^&zmFnGm;=;dq}5d(<)o?c!3tZtad z#R0wSlg6*a-yG)C%Ps~wA=+Ru5>yEpwEqyPq+2fKD__BMa2`<%X2uxF%*~QghLpju z0dXt~14zmic{RJn0(Ft2uvz^wlRPy*X(6MX!!x`jvX}CWsg;bKrc0i(&b|dqc_@o6 zjA%?F9ixS#;*m@FnXw2Epyx+Hin@N0yo~qPgCgMPeRgeiqTXO6j?InYb(it3)j)x+ zBgbNgAZ%fH^-~l1eN%R{rrt#MP9+}`&Ef->@ejsd&)5fn+FmGI>$1U0 zp(NtMc*$Vq4Ba7P zhkj-LCp2Vk41|rvHK^Vsg9&G3pSugRI|jq5?-I)|=f|JcylQK^8FG?7b{${4 zOgE;bK5k#H8!89Nw2)*83z`8bVjx>b3eR31GPub`hi$gzB=Nq>d5YDwiN`MI%{+=0 zMt&Bor`6W!P}FdcbP^w!A<4R6*WX^wIcvlc$Q67=Z*8Qu(PU7!)vYNjR6uTSSlaUz z)7Xb|%g8!1GdH;DILL9x5~Ek}R}{l!LMPI;k-!jex9w`_EmMF5g-jZmLP)zKT)jF3 z=7{yK50S2HTn{47*bPQ_1!+KSTMAHJBHLIhyeD9c@A=$1umXVcJp^(%EP3-tvF z2Hm1jLq}S|Myv%F0GSnAH$w*TMO19Pk~bD>5@54}4YS^1#VB*`W`AvC)fPgA7EYoI zj0dJQK~2PrCdkbqVT0HT;~2(-GUm)QWq~JwW|Q96O$$w7AwyPnmW&L1vakge8M0y_ zSfHtk({tmt6^ls@)nZ^RK!(>POp$mUGjUtd3<#5G!f0SFkmC6(`QR$OzSU$i@SZG) z3F%N1`UdQ8lI1EOab_pr*>8CxU$JJhnm0T3)nK-%IU77@C{{VsvgX1h&sS>KFmc5j zd8!DGGmtQWOh6<6dtJzC!az`T%a+mi23>D8lsgt)(G_NJ9Q3-A7@N*Pj;;7_A}l@CZ5Efq7`33^f&C~8v4@0Eez=| zA`>zIvKkks9z#~6%$}Jz>|{7>_=;O#PWR>P*6n}LHWJJjxABBeuw^iZ1-!x9+bx)M zOaOSnN(t1B)C&j%;ls*k9DHB1d?mx+dbCa>BND2vf)V+)riWgHMD)P5y;c7QTikIK zU!JUvMRkAh7F(7QPhG`-v^qpem26J!GKTde9b2H<4qJkd6qU$KFNx{Ba`dDtlHV|90LdHHN5<6s?wme(fwy)NHEUtbtPn|)F z0^rpYGp4`mNeVizy^2(AQJp%rel%Cu0t^Y z(>L>h(}7(XiEQD#ntZA1+?`Q4y-@(@A*?UlZ8YcaXZt*3D@(UIC33^g<49;w9T43#KG(N zYib7cj@KiEN6ygJN1qYjzn-5_UxzRRm^UL(P0~$)zb`hwm8Y~CasFHRvdwFe3DUwj zEQ3k%8ONQ*^!?C;BwrR?_XaLPjtBAiK8S}w(E=ucVDBSu zp2(BR0TmIwkW*?*Ne_kuWh4)c1G$$WmK6f>N9`!gTH*%2atO0mff`&t$Ug8=yIlG@ z_+3USFk&!nt-6thdoTktw_#lDy@98WkA)Lab8IG?J%ISKRS%8kfJAT-Gb6gG*b=EZ z_&!Jt+Z!5MUK=8hg$>`u#KSl6UKXhpKf3{;Dinvp~xbJZD&83&sZ!T8+qlNDW~{32w`fk3O^gF zw;TtiIjM&y=0>x$$RvH3&)vvdUWxV$3#-HAoP(l>Wyx9r=4tyjXrli>7~g{$mjf8= z?d$=hR>%dwAAE<9Nj6PgCsp1#ur)f>*aIAxhgDUc7_*&`0# z#Mk$(XWEXi%J?hx)X#di7A79FL-9xy&dOBbQuQQK-y*(w6C5o7B>i5{$TTFX;e#2B zqES2nJ&v=?^9_KejTQ_*g4S>lFwHGGJ2yo9cfkk2d59c9b8>lLRCL7MBTkBG<28@YBL1i!*U(>O*M6k7o5q26q>MLsw+d=`yRKhO;Ro!{ zP1^6pgKy(!wPN)FF5>JB8sVrtV#7k9u*_z?CyJ)G^Zw?v!CuE|XceMV?qF-fPm8^8 z=PMGQL6+`eataZA+S(7;@5Bvn=c}vXKadp%J3&~)<8SAgWqPtuKp0&pEy-Y21I}3^ zYZQ0<^Qy*}9SPU#G&uvVclw0RW^v&=czQ>j8BOV7cX`YF*xAtbJ|r*bll9l zOuM>{Ex-92tEsc<*paE5k=3syMh;D>)qCV*YeiA;1Don+uzqwfTaFYnV$=ZLFp-m! zq$Meq3MUNcrVNOjSSjM~;ukbU?IyEE)oqY4XHZ~gvzAlDmG9#3j~n55$mI|tQZH)X z(^)T0y_L80Z_y)LH7G9g6<8F3yvLH7iPax^889;BprGLpG0E(5wPlIxZ{;g%5lDqz zf*%Veu+3kYFNsHQg)6^IXZx)Z8fsRx`EUx)N#B{ zXgfL^#LD;ai+VsptSpm13bh}J)I;@V;e0n5`Y5G88e0v=?_nWRJn%lgzIG^5f1+WH z=Ekr%0N3h#@$>ibq2(c{8-)}dMjMQ4geV?6MCwAE@P59!cqQ<1mloDD2m#n5+FMwN z&BBZE@wMCd>K41YMS7v| zGZg&`_mOh9J;v5#U1Dw?vjZ?JbnMDlL_%2(

Kw$E>r|4ecZ2k+ zXu|uE>c$^*NX`~HuOKqer=u)pKLS^L!;ev{!yrllX!2W)baQnv@d4hSHez8@M?E<7 z02W?gztJ5M(9p)9Kf*&e?j}G+J_LT59g0N6lONz)ieMpl6_l{hq7<{pWCNz|hQmnJ zgGaz(L_f;esNjSK&Md z$&qDcpg-2GP?Jx`sO>-4oJSr5`*Kah9nK`)6%tAnc*hFBs_gaI3CY;!U=5JkkZQ0B@zoh8S}3L$+qfm$F$9?NtaRincbS=#7^yl)~B z$B<*WOT=3~#G~ofYst%%t9XdXAZHj53}+-z50TzG4PhY$J^%plJH;U4b06ZV2CL)b zkWA>-z=PJOVF9(q4)L20agNXq!7vhmp>PwEs&Lsd(e+`zMmr+T{xDzH4t*fmwg$N! zVq$y;ONUjg2Gw-^hk0vfTNT*-#E!1Ruq6c%u3sFaE6ZRHCtbPB@>T-nAgW@ z!U!PN15mB?KgDw&<{L*X6G=)!B~W1?i3Yb9z#F+t4$Be{Q@Jt(p}>+$256)I_QRTB z^$n?^#GnMH8o&W6h#hj^hit@`WJL^u64Hoh_2PT^n%b1vd!lCbW`>86C)akoOWbiU zzmvzRr4rX+jwzF9g=%0#$!U%v(@Clhaq8at_^MOhpme5D&vk1|RyRTxkU)@apq!AE zBwWe-F=Jyg`DcWkVt2%-$X@;ZeY~Sak2NAqJUo@Vl&B?scOOr8g92K_lKFH5uR$v_A2hkMJQLhS=+~n}FP!I-MOS zm-(sBT?oRY874@Z3o1+@8@TojpP_o!1) z7Pc8Kg|F#tBIZY0wIHL-!2$ZbplL&tp# z%!$@uC)t>+%OEy>{OEjvOMre92cSfbfP zj0@`E7q%Z>77VgL4v7ZH7aW_T_~31eh*zWq_YB?gTK-lb*Ia9AvV zkS{;8kFVcuLgP1_ajUjMExECkJ+ur8ae<#rE1aaWB*&8kQ2sUo`5C6PtA?zEUJXl% zL_6s7rU&_JlUNC)jHXo$F&WLlkBNlDFCXO78&qxyT$6#}phmzgFoK*9{3#?uV9cN( zYii;a)|{qh$zQGS5LZ3KH^j|It%0KZ*;$HTG0>ME;>WjBNKV?akfCBQ0CNel{4gxE z0e~Ujv+QI16u5klbS#GGG;QisoY^>-0uI4R7UUuYjTC_<6h%1HAn zWNP4n7eFV_~kWV_xLWG4V3)qRt92Vd-RaF;67t6`m?*N#ABD1d6O%K5SGptk4 zlw=~@T4fmf_fDg07)-D)(kzDdN{A#aen@2x{KACoBYS|*jmf6ruxtw70}t?f*rZPA z?G8DiW|_)HDsa> zg1Irf$*j#|wHpmaI~h*eMr;C5G&VXz>**B9q97d$Bpbvnl3%f<7C_96{cZk+xG&YU$pXw&j_9=c! z{d17yz5|&2AGD8RQ-VIp|Oi) zn8G}4ta#*8d~n4@z%*$MWFFu;V-Xw+rFwI#L|7;+qDOdthYW0KDHhuTX=JiKvJOFG zvyM*&AzOr!Z4i0^4VlQEuQ~0@2tjZ=1TZLqX$sTlokyS z^Zt$PHHj`WN=1oYJzdYBsUO119H@ZeU$6m{MPP{qt6DmFgKT-bxa?uh>(Uym*$j$c zVAsHNdTpzC@L|4g1@wWe`j+`sIz{rHA=xYvr0SF=84fEc`Z* z31!ZlOMV=9I zD3Bf`D@jR(sI7d8zSL7@O%F^DPQpck7&G)ltPK%3ooOhQR1myhyBtA0b%9^jPb2Ka z?3nn|XZTQ2c7t54Gl;S)t-8LM-o-NHiH|{FAkGU}ETRTiG7hCXWFwE!Nk4DEZ>z zAI0DsNPlXS{*N!y*j^O7Mmu!{NdyEyX#rB@_zr-=;~l zJi?=*de63aT^|Ard>o_dt8scyE6 zUIc6zxK4vl3ga<;aRL%+hCQWXB#_m6jJIuWLyCwLthQ!@9xVVaO775F9=ME|5HVU= zAb;r)xD#xPY87x&`%3ZU$N0Ha!6a7-v5dd!^ZZnl7{joUUlLD>+0XMHEa=8*T{r@~ zefaaddkY@3P!3nq${Z}be?)9KsCl4YnoH<7TF}>GFb^osr{8s?^?@Srjrln5X^KYA z)eS7>LrC}D0>_tf)5sNw(;r82s9R^pTaaWbfR~%y?3z_LREc@i_aI!(J3@1)y2D}f55zs&^3hW0s)u^u=Y=e(ec zSA2o5ekFzDq1=Iiiw_LKW`!_6wNZ(NBpKsOLt1puHc!7DN)AF?y_vWlo(ge4;L|8` zf$SDvFJgHK+vBkBjs_PmJi)h}Krc{;Jd2$P3JX9S^cy)bAU+TYEe+ofc%m!;3aha) zNbXjANQ{1w_hCI9Eyz1W1qm&%AkM>Tj1I>ct}Mye$G^x|6+v4LB-T zUbxSwsXYSr?aTDr?EU8NfCo?oHLCaDtG6I4jKu}AV@O&edYwcuO$1>&+$1crVWE?}+uEcV&$=6$oKh7Hsnqkn z4E9B03`r>@xNR0i1w$75Wt4MAxpWX6>m6Ab2V>y)5LUz~WUF?H5wJu_OEFDMYsY(2 z2)-F#Lm_pCuCIwiJTIv;Am_Ju}d2{WU1Q)}~T>^;ql zBKg49zEXVp>wLv3h?6X&l6ApgB7}5}$n}A7s$1(#vLW7lXu5f^=f zcSfPCN+s+Y>euHn1#v-VsN3n!ipAywi z@he$Pop{?*yeSUmlDNTY0np6Ey-)EA>rj6;fWnEq+CpfvjrWMwZ}N_4ef=`{*ho~a z91=Uf$#)!2<(k^+ZK%INrjQZ_v|ALIMKwH7BA4suW+1AO1f^7Zh(ga(KvC3sQwmTq5V?ye2Z@= zM*DY!07|r}%Yr&hHm>Rn>BCTOwOxZL8xLZgY5BZ)wbXV^T?iS#LSW7aZB|nWN;BCY zbKZHdYjhnlGXy<$QRxQ&KFJ~ic6hg7s7Myea;mzU)j@nWB7QZI`6WGp94RIx&BeH^ zJ3{su$rofOz|k-lp_*EYQuXzAM1-H_%eAkGRZk-a7ZGPY%}?u*c@S_pY%*d*$UhWE zb&IND0t^}n5X`t7LVWsZ{u)-_CgR`btLu!;e%)QDqjkElDNg$~Ul#+HBYS!PPHreJ z{thjRtvW*)9;E|#+Kkb5$B~)bbb&Mp=}}X~52S6J9S9IQn7ENFc`2wS7?a6TXjd2VGkwLMfX!#CL^&uH# zKmj84RoAeUhr{k>McY_&CP{03sHWR+64{~kQ)1tD__`u#z|w-JVTEC|fo(0)Xffz0 z;4K}NHp|>_C~TsZ0OpHDqPm5Y%G~S_=!8TZXo7AmN>PnKYT_+=smuC?wzZ^lEH2tu+{26X63&*HPG(RCL zl&(h>BR7H_!8W_Xx=Gyj3_m4)JXSC@bIrayIZM;O6fZo(84{ks+r6;;L|+5!o=(qFz8NC~nyb314#hlH$Ve z@u5bN4D!<=lhbhVB}Jhv#O>eXo3x_%-uIC5L_DxgT1eJ+p3uL~&py7vj<>?6HB2U&y-wiQ9j8YUPeoYI1m8~4`l^WJ87)^H(YQm(GSGz)T# z7C?xveV=!11;$X$4lM(R63$ep^<>5_2C8Z?Cd@2$Mz$Fd@H4iYkY^R@SZ$!@NFFRe zdR_GVfN!gTml85jS0H`9)#B10@Yighd57R0p$J=QX0`bSas&TKM{Wb`M~iS7S~y~` z0YF-`S-kiI-dHW&Fc@~&ktm$>f8yKQuLX$-t>7l?LA4t~)t#nm=~&lpap<4;ni>@5 zBc7459WrL(BmcxtMxgo8H+43hiV1C?U`=`;rXg`)k^oUP9-u)QNXINx9Udz87<5?; zd>vU8Fb>7l+9OW?XTCN11f1RjsGVi^n&R#M%W|Tnx2J4Hn_J>eu{FCI9=q`io+RwFbf!@k9gN0() z$Bd%{aE#K|f5_uIQ3^#xP&G9*Mm0_nqJ=f5%0o*w!VAlds(4T4pJkX1{;7#pLDeje zMh9goaMNXi|A-GPZ;6IiB7ut4aXYjcsqz_HN9_nH0IcR6_z|DmffbT|W=`PTmnnPs z=3T3y&#<#~?a2nCs{c4_%`8L#=+z5|$T0y}4VXcANUb4*wymQAE+tky$NSbZaHZDN zg)#sN$|xw(X9_UJ7Nio+0F-3N9L`hBMS^+wIli@~R<}Adqj!cD3s#*gzVsXxZ*M?I;!o{=7d`(Iu^Sw1 zWQE~nYdSeH;Rq5YNY{1N)T3e_p5^8Zr=ALQQn*&pN0Tdn zR(=9!DNO?8L_NT!^%k%b?X$o%_fxfF%CItscE}8N_QGeussW7!vo&qU;Zz_e0oT5v zoiYM8HqGcXu+g+GjGbCwgb1=0P*gS(C;pfxpr2p`@Ej4w>wnBos2yb*(o|G63Lbb` z`@XpA$NZkyI$b|k?qFiO|14hnJm1?@9J$+m3Sk|jB@9fGoukdTBu83G|dpasGf z2p|fygsprFe8bYFr7dltl(s-h5(-TN0lx2N=G;X|`2F!SFLEW_d(W9O%QMeB^SnR9 z{E|p`R-aL@zxD+x_l0CttsdOBZ({g{5w}*HtfpRGn0eqQ-Jj1kCmLTN9d3B$f?srh zIytZTmD0k7`94ilH#X zu3oWhMOgaPf4{j<`a>Gt@yPJh94V`PA*FBbitiMxQ16vL&LaC2WdDa#_U&o?ts>5^ zC}k1n=jYIlXLKdbufX}gG}pFgH8_9!%$}^?98~wkIKK)m`Kf&%}sJi4!9 zbYBGy-FLSLhlbs&L-%pv=~G7trtz&&C7a@)`@CcF$`-eOIv0=5-0w zS78&5)k#G=5+aqi6EUc-WP*x8eT8+i^9#BJ>bv_2s4qn!Y@}jPUkRxH)`E7RzPl)( zKBeQ|daf=D=YA>OC#v;<`g{26^D(He0QG;_Wf#@xjwK}?U*%efXdP8CkFOG|f5oKR zuRM>hGHgFg*62+o5MOx^UkQl+l^R_H@l`qo@fFAxomR;jC|Icyg*Q?9Rmy|-N`^uqmazVU{96ao?_Vk*in2 z)eqNe$JKKyTF2elW*hV?arFwW{%2*bUL_h@LNAY?WN)*`)l*51tEY;q?ad9^arF;3 zXwTKFn5*Ye8J@JTyijSS@Zd$TTa^-6NYUfZn8T)h&m z{zuKalB-w2vNzd*Il6+YS20&Fb?Lc!?tvczS1*4eeOO-PIWdUB)vGX9W1pU*N01tj zR)?z(2G#%2Uw)Z%78~uX&!wKRhg5Is_E9z=?0FHwUS60scoD*$0>&S8guQ&!_RQ5n*k4y7?CJDmRnFBy z*e~f4!d}UyR86afu;(l6EMjM=BgEnLDZPO6;$`khT1y9(^PmZwX(UW$j zO&1A!p4=1mQk#;_!E4$+*QPsJz)`A^!`N;jxQGyWTaC$(#~W3$MeBfj6?BX-0z`)f{%ODzJM6cK_8JOs2wDOr+3-J$OhZYP;CH85~ib#HXXj zB)%e&>hF#x??`-=aL+#u;lUrEfmIpBS0xl*#V9^i!_c9j7{lzes)yk4<;jG}R|t;% zJDvQLw3JZ!v=f$MNXhi^Q~rOD=6W#kkMyGvMI@{TzZF1V?F|<%sUY;}XLMRb)?z{* zqbh_xvs{VLSA`OxugZiz4_hYml_&HSAhCUFo;D*A00@wab2z?q4i1i$LNwC$CoZ5I6f`taD0{7vfExWUoY!@kULN@X|hsT z!%EeBgrwz(5gA1>kvyaW!-P2_vUloab3QB|kB43q=d?iGFFsa6qncKN9-SolW zaq3=j>&0R?HXrLrFFbLSPUhKsm7do@piMOu2w$gnuPCeGf7kF^qUcPj>3A-5+7M=N~Z>Ijt8QI4i z4%mP1(j{bH6_I@vw9K)KyR{(u1m@VLQL~VJRe|hdMq2I3ZhdjxvTSx0DNtj_2uG^S z#>?$LbnDGMU*#dE@IU`Gc$9wcOm!7CcV&_9SMdFBPTS2|udP?vYT^4;!twno%S!bw zO+zJWJKa=AHpZ8=es*1n+E>AnL6WarU*;vI_SGv;`wD9RGxldj&$|F&!%^j7eRZ^c zu7~v%u>Q9($fYQPczzDnm$s%&j;XM^R#0fE3iinel`4VtFYVDKSf6HNKJ&?Pssh$m zC0JhxtpDddx(w^960A>439L`kVj}1ZIO=wwR|D%amT>YXTtnZ{t6u`^t1_(5EF`c# z6O4!Tv6fTzsb1YB6fRq>D&4rq1`G9u_7=0H4C|}=>0*;`gys!tY}}sm)0` zgyZ+)xo1i|B3V_h#rNlZrcnFLLR}M*0Q>uex=i(}N~)i(7gPPtKlfBW#w=~mTck@= zze?6cKnE(3=YQzJH zrIf!)noUw=Mao~SBRSK4QbVZJQ~m@ga4v=Nmzqm?%AcZM6@vNmreOXu{T4BQ97DnU zRVH2IG5-^E3s3peYztgTaf@7;%9KBK?I?d~C;L~6b&2vhy= zM&}Y;r2JKp@`umjpYz{h%3lSy1^0#az!DARPdc_F%}WzW(TkM73ftP{_cGGmM4uml-Ff{1uf&e)=S8s_hGe@^|el;TQRkAPCfA z(l+*Kq5P$9l0c$zxoS`OD?lTAyiaclYV0TZ43vK-kyVw<&zI>g$hJDlpKDZ5{tWV2 zls{N{O!=$UZ7&unf7N`(Op)?us`QjU7pkEArHE`b(EI2dLn>7}uPfx{i9&-jwwYQe zefA*dpaG)0kLI=U_wm(^0DJmzL=g z<*#aFJmDKMg*A`}IKsJ+Aze+q3{+{)wB=)MVOg85FRj{Hz=K96Hi3Jv} z|NIsDtf1e%VTCSn{R*!CSCw493eFp`Pp;6H&HZ2OzT^5;lxoe#NwF%|aiQJVuV-`p zs^+G@{LW0gc|dnm z;QCmGjQxuNU4iSXVDXh<5!aVa2CmO2j&XfeiR-J(lCvGI&tyn?*svn&;1zIvH5=Eb ztXvHvQi1E!+2-}x8&~Q|TwjHouCwo3sVi`O_YB`#sb7lg6R{z;S8#o4WmfETTejeO zR_R%|z6x8q?BFV0iR-Jx(BIpyuF|`vJ+7|^+6E5Sr#i{X9mWR5{YM<(1JV|ZIhI5F zaouaH6FHX9J_lP$=N9Vxmx-N_Y=4>VSIPC~I=bIEkTKmaktUxc#bU(a{mP}Etk%6T z-Y?5(7!4@{9u9avw#MQ8(lj3LXH+tD!21=Bu*3UR+Hp)u@ctK9>oVT2V!WU3=kR_R z&~D{JCKR(;3GY|I>O*$t8eNI^V@28$MZBN2ViE6GCA?p)ZfbRSzY6!gKeX>(qnBNr z18qPCeN@dW6gq=6YV90D#lY@ju*+&)oc0M!CDW*5{&`+-D98M}!omEj&QyAj>{qFl#xmJ2ehiz>vd-O7igrl543nH9Rwm}Sq+Bll(zOirI-B-aLi^ii z*6OB0jQ6Y5RrlFwoi5@1s%g*BBHqvPYN;Jur(cfutHcElJG@`L6z^BL##Z}tNJ=k{%LT}jlet51ehf8# zm>~S+aejR763$O-p~2JqRF$LoY2YL@KQD|=nWUTKFW~%YYa;O)q4^bpyT7&XT(3RN zuac8*b>X-Y&9A~`TWq*NzcS6Qf_+cfog1{H`D=?bzk=p}(Vp6%D`cWA3OY2ou5Vm@C9pMTXReQWs2 zBtCZLWhA~Tk@z@|UG{~|`V~oh70%siN4MyARg(BvsF=j>J4=^He3ja{UDiQm65n-t zNPKKM&W0oLm5}%+&eC0nA@SMGAvy5qxDpZ{g*Xy(fox^Aubz{4@;~aOWWK6ib)rn> zt8_zqnao$UwJn~^SE=^Zp3G-HYOulCdQNK$;xmC&fcOd!{~zqev-RASW$0d|Zo0Ds z-E#p4-K*Kqy#l&_!cL#9&kwfSZ=J1QA8fQ&Y}H#SYPG zP%+INtujM;AfFXUwf)9cT>|n|wzuE@a;x6c#Qt3%{h7&m9L=kUq^szk|r)w`4W;WQ~9je zJe4oK$5HtVS2mHM@|CCZ)#B=!UE)vAyX0>im9H}EMxgT5dA04YXIXY%z`D5nLy8F3IpULNE_i~!kQ%H?n7#tjzdy2DcIa7{ zz7kCTo*h~+{jcxPtI5G3srsM_>quR~h$Ts^2@;oRedTF=nO4fQKKm;yl~>}KG|0jkC(kXM`J>qQ3R+)4=kn>ce<*e{%?=QehFIA3Kp-|XOgJkW0Y)AMu*&X>u=ZrQ1eaJ~w<*+iw4 zSjpbBlc=Y}bLdtc&R1nP9}mvK`7AzI2Vys5=_UEKsJV>WTprjNu9S0K*|SK(>MPIc*9ole)^Wi4u2h}7^!06g9}o(En>?Z6 z8&q|H=K$6xYS(8U+NI|PjrKFU^lUO;LFV6|vvbbZB{H8|3z<*R=|Tg}PD1AMS0VGI zQQ0V1<$skn=B^{F`BljL_+7r6skV=wuNQ9O(~x|OES3W-i;0~tW+UVPPqJ(?X`Va; zHyKur%xBs?dG?lfQOo04q{oA2ZOa9^r-bOUZ??`kNb;CR@Y8wW$_~+YeL`x@A^Ld0 z^h=4X2%^twgU%tp38GJ(*wYv26=xI?ea4X!uez7`U1 zh1FM?UxwedKe<3}D#QA6x-)ctgk9yeN~3_#hZ~FD77ty z^;K{X4ntslMI<4H^<^J3Vc&b9ZfYsQ`AnxQ@;#g{4xWATLfsw`4t@GU-KEd<7`}=z zeDzWcUnS?yw*$L%5yR&SbYS*vRE*)Px{mn{!&hy3qhR=|gyF03wg3$OO}q8xnna<- zWB54WDf@%nx=mtQj<}bWmP9hPf>@vAs*wpQPeX}nw++;lN*mAOs}hUP_y7}O;Ux7q zrmhZyK^lh|3Xk8$_+eXw)O#0j_E0|IxERW(ha?h9Ts$qN^2IqUQTcAcP(kIZ8vCA$ zbklU}Jvg0XvL5A@qYNXSfSy%i@nvko;&WgA?$!pf#Wl)+Bg7$_9G~Wmw-AsW8&!2b zPCcHTm&}MJ(jY@N-MQHT`>HlyaKOH7Eo76N1|%UQax^E$ZQmZ<)I^7sP|#>5dmF<+ z))Myz|6(uSqZb13Pw&x1fL~&PzKdft=-XMCY3brg`}sZE1N^E8@T=f;!FyRq^(&Z~ zPyl|FXulIiW{)ld{KQv&W9u%~*KP7-zN{u7^GOa8GGAruNDSi!HDp4|eLR`3fZSxp z@MJ!lAsPGN#d{1D@(R>A(|DoAvzBHD7_vI|Ps8No&DxLJBlr-B162m^I@vYUqpM z&&ZEj&Riu^0=q2^%~wS2Ww0spzQBCG@rFWt3&g>D}Mw(iRoC-e7S8I%~uQw*?CK< zW{>7mwGPb}Bkj<9rYVo+6K-^9z8L3(%z0%rpNe@In(wCE#Fe^?=5y(+-F2lFG=JGP z(0tXj>m4zgufi_0nL+bq78EpJ%I(m6DY#2U$dUNDPwZmAMi*+{0nUb?`Hx?zi)g+o zqWSdOjBUS4kLP?GiC$yhc$J=0f#54a@IQ5xUK`Zer?1lI0NsnX;GlbM&TUQ-T4TZh zx@T*)V0T`v1-f@rbt;v$4_vLw(7igf>+&*muYm49T7vFXu7w;10)zLM3#=yiHciOeS! zy4rs1Iz5}rm#N!rCIvZ>3dnjfi93&U!HBU0ahE+<*VzhX3qRt4sm0$0udTM9dX*Mje|;scFHSbN zK2IgMJ}(~Erz*U(qn+ zuY4-`5y2rP!XyDaOrvblx_Bx>M=*XD5DX8>rbc8R-K)Eh2&NIq+-IJo&mB_-YHMB- zWBjWA&B6EW(|h#-&+!vO*=?Jy*RR0wtHk;X?2oS3FXQ-GF(y7_&luF5EtjNHqq03T zq2}KF)u78E{bWzAvQvY4`I+^BOH$?#p}yH@zY6+RIkcYyChD7Yt4I44_Q0Y2O3?lv z4eBD=Pf`sNBc4a1uH828(?zsjIs<6G`Z=xibxekI_}?Y&ZMJ*&=^cXhQ(fGlpE)r5 zW(+oHzY5+Pd=sTVNgSh(%W;Kdg?(wCo`v=^5CrX)O802L`~=$14P&&QepE*LWiEor zmv@V3zq~JKKd%h10d;N(?N`CW!M6|>pl~vYfc8sKSj`RX*Q>hRWr}D&Z_t7(2{y-Q zze;ZUvi;D0-L{zEhpwRb*((1c_gU?F1M8(^)Gic1={v^$*M5C&nbvoA1y5D8XnmD9 z{+zvXNEc~+u>|(sAzex9t8m^T`>P>cr1e!2dVlAz{*z#@eRf!14W_^AfUd;!$s$ND zc9_0O3~aP_9?(ThU%CAM5j8JraG1Wzt{ei>CnrHLeK*L#^hwsIlgqYT5z{C5(P-Bk z)D@V%3Rga94+n5D^vA~6Bskq{AKd)Z2!;T7gnK~i=vmmlN-SI# zWBaVbJhm@gQm}pYFT3o*L%N9V^MSN|?IC@-KCG^neO)MhQH^)us!u%8-PFz(@m`!B z2bC#Ix+nLgli0IHbZb3pPi7E0fur=X#B_lX4W(ZlQ~D~g_Z`?&F|D%I@qrQDvu)8! zDScIY_OMX;%2WDW-ckB2mOQ188FiGt7(7`Kgbhtr9o7qWdm>-@o)GzzgMXuBg~&f< zOxYF_AYbNW*{O+ve5O_b@>KJf_n$U<0}R6*DLb(a_N}AmmlHp#rF$&ikQD=cc{eQtFXSQ%->^u zC=P21Zpo|we_tE(_o~R>^UN`SFPS$pe{xh;^7ptL%z7s9&Q+tiAHAJu#_Sti1}BpYK?E8AhJ9=Luy|f^neMJZg{K#d2cHN~k^lI6JG8 ztd3~iS5N5OoNYnh5#(OY$>s&QS7D6YORL+TPUyC%g05FW*EdY+m(cYpxanEKN0W?K z880%kNZaAPai2RUb*H2XmFao~U2i`-sU<%U8!x$}vUHG})ABAvD8VR!=-tqMaZ;Bc zdX-+g+b*8c9X0G0Ogkry71MX@!8S28-^Uy`E zUfu@eQx#l2&XB$K1}$8DSmx>#T>W3$zrR6OaP_K!t5@OTi)_!0dcLrzE_Es9>X`*% zuAU68CV}25Wh+OrpcchCoUsMqD>XnWFnKqi_DdXUuY#3pK<#Dm2WqbxYEal0)LsP( z2W8-U)E?A8P7)j|Z?JzjsRh0F)yI~A^i11wO1~7nSK*ou z*}G2Z5_+#PT?6)0r?f-w@%J2h&x8@9_f$T6sU!sxMWF9buxiL*l*Uz;NAFdz`Jupe zp4Nii=XSbP*Tr9@lL~sT+G{$rq;6*yu9Ci6MDLZL_cxu^^Mha5cbwKm^j>-NUNtoL zc=TSy=)Lmjy(&2LUWFdLm+b5c^j?+Gd%C(u@5L$*s;2nP`2f8qf4LI97tT7dk|-=ueT5;rGohk>b?<8zEC4*ox@7l#z35L0@!hQgn3Z+^9YDTR;4P1#Ss zT9+w&X5Pp?%_mC~K9=_-6uz^tp2BzLDy9^qAdbSvR1pq3BuNAucPKPI`Gw0JjW4~2 zoPMG4{f~~u7jM+l_~I8yu&y_>M{d@wF@=whR&U>Uv#y}ie3nNawug2Gp`D16n}G#^-O zN=3_Vgu+)v3SZUD+0JrtkjBxM%%bqcQaTEsF-@-#VkDpCgt|#pqVSnuV+vo|(z#j^ zXLl67n2;icFV)DwSh}mk*}K%D5@)aA?B8OWruErt;q3RvoV^Oieva!7agRCl^bJR_ zvk@*mv;w>5>VbXTv@T)yQW;Q_f|LZZIGS@o2zF05;3|BTb_BbZUuC6Q#O|5>bT zIA7Ny`*it+1`p@s+=7g{=$>Qru@CI8Gba^tIW`W+t4-I>6H;HYsa+m0>pr*n#=wyD z8=20y!P%Fm>W^Rq2x#5(B++OB__El<1Q5F*vltssW4H_8m3zXUdpE~~ziay2Z__2h z-{lRlWXZIWDSDVMd%~YY=~;xo%5?T7i-bSZNzVTGHoeLKsd9LHSnY(4ox0PSwJQI? z?3c*sb>Kg1f?f`^(wAK!6LS&#ca1K48ZsA>x#+-ui7gUtk?kl4{u3x?#XcsTi$yj4 z0Ix>Q^regNljs2OiO4>6yWZAuFISQ+JSGKn092(8fC?90Z`Zw6SLy&zA@l6f*OG+j zbO7d_6{`S7A95N1-{o?HWU4$9{HwhMu3;_v&fwLmmW=V)xIe)(4mK6sU%V4huVJr- zCt<;ps;#mAc$Yp4zCYLH`F@q@f!ms37eV-b+A?R?-K}Tw{i=Q4&K@k~h^k(^UHE>n zJB%I%0uHV4{qn4i?-x%k=KEDJzso*-w|0C#1}*0M-J(nQer7Yr_sgJ-`F^*4+wyun z4|{C)zMk$_=KM*-yV$<<^?LDEG!$r>prczrf7!;PXpHRoZZRDm^apssH zE&MJM5qQ3;ekOPtRxSP z&R>#J?UsA>EY4rS`TxM)bFcnDO_B3g;Wf8}cJqDuOhA9`)g@C_4En3|;%hwUPxt5q z^p~ts2l}hTwf|}#x=+6%=ugP0#XfzXK04Qf{tN&nLa}6ts&J5F(G!W8>))UkWnTGY z8v*#@lWk_+d%xb9YQGs5j4j$XgY=IWzs=(T^omT|-?{Dia^7SryK0n0fB6^@9OxWiB&Gk?=z9 ze@YKzJ8_UnQ8F{%eoFscD4QK4H&m%`X6F0)P*_N|&ts+NB&L! zDu@>4vjg$rG*zh$D`$@VyZ+Ol*`M`N73MN1x{Y&g*FmXxyWl_d|EbdnQkUXGTB?Hn zMfQLHQ?IGHA`A|>16ZnplSgLG_^ED7X=X2J#=M+MFnqA8QPmT2oTxgtqxlH?DWg+W z;pqovPX9vxJY*o#98TEXHRt4W`s;-?>C`#y$uGWOX8SMoO%lu^urTw5|JJ`ra57gI z)Qpd@t3Nfi%DuX8e(QPtE76&7I|WrNP-njNzq&aQsF@%CRu2Ukl6vHGGgtgh|7Ebu zB*KAN+Mrdr4QnOpSViPsL_w=)6T+AyLsi+@{LHRD=#PY)yos;F!nlf!7@G*qh8m7W zYmRi!%H?7t?=t>^~fn+;bHaj-{|=DGUAsl;uJNiU68 z72Y4*Wye$IFXa4qSrS(TEOpkW&2|L04vtE9ow+Y`5d4&>k?QGOwo@stBHT*`v89D4u{ug-} zjmAb(lF=alfsEgQ{{B@f)=DmfeY(+9%4kGhM&s>G#>r^>-zKv@nC^>ZG$Ld)@Xl66 zI8`u)QCd!@Srd`d$)2AaSB|ts3KBH)w89bR0!m zk4`YrZc3UPk!WuGxZONK2gDB@iM-|pC16i-o^hHR^7Nvz`_}|4tceO zZsXKCKH6mG9L$xCaXk)H>u( zsCCGTvkiOzwT?*CI&L<`t99@|qSg^rs&zz8t>d@G>@KQxL|(0fE7QU&qFAjXDyelu zUacc4s&zyqwGOc&L=Fa}ViUnWt{`e1yog$dyfE?cB5EC2nE0bktwTO)Kigx*=FSa+ zr40XpDA9jmnCV})W`F-W>X)RxExl&4T1Bc$WIG~}?f7D^*;~sH3DE7pGV_|SW})dg zU!1y0&V5TJ^2=AOU9o;y|BAIVS*}na*Wv0gBXS*(H&WtkdI|}=V+SJ|J*HUrO5WbO zkoyw+a|BVu!u^3oW}y0ruW6o#0lapR>F7m?I3Xj7#lNhA#IgdWo#JwYc}`5BoW^aK z9B*D^TDnk>#MrWGX6ZDBp=H`&%Uf=pm+#1i$9Ahm%qBANl zDbfoLxDlY$I%q03vG$D|Ji(a=ZklkHr-EsXV^b01lpUO?DA*B+V29-Qa5!mH zpH=g6;WDbBbA66-lFA4)H#AIRHfa0dC1&3F4^f3kQ*h4I*g?60m+eTNqO|e|uJNcu z*LaMZRCt#?t3Z{agaow6G=q#)AgyvOA=J}gc}!h z=tFXCCaNGDqa04sL;8V}^pNY}|3_ZZBl40Syf{gZsF2*43MIXfggFYWB zo~5RH>D#Hu&rylgz*E78Nja9Ik*A`zWTI2de~0N_#Igm=xhTDKseN{-X z5Bv6IWc#d^tdSU-jRz5Po?bnu>bDFE0*y7|-8#`jT53zD7+qT^FwnfR*vVF{B z(o4wCj)$wOEPLs4v#UY?B=Q0vA75@t0wC0Nr~T=2)6elPZb}jX5WT{b1wiN!S$oS0 z)5*bxoY0C8BhN@Wn1-FZ;JE%&9gp2uxt7 zc_HM>73dbu$l|N*?>Al3u>?qpd@mWZF9ct}_=pO~u+%IOrlWMtSO`SU+hoH)I-V$j zqz{hBA?DN$s{#2oUnt6f(7*BH{2vKqv3W4X))CcZa*e3}I_rUGNM@zkwum-N zBoPf6mdfC$G;*v)#|}w(D|ACJsI7Ktr5Tx}8xo0b$bYRgXUDoBQ4s5fP~-sJkf@{^ z5_#Q_%T}3^Zb;;HLn6@)d3cp6>V_~FviAF{OoeVp? zm<`he=?YX`HHl|f^;A7d3G|Chmb?|$e$}-s!lI*L=mkY04i5e{VMkIT{AA=RUhH{U zV??H4r!f*?Z7}-B#7r|e)#frI{={)QPgn?sarPGk)zXPF*=hCUu*U)sZEkrg{^L! zL&PFVvjHRuwi9#+Q6`b%5}Klavd*zTSZk0b!R=y^G$9?(E?;L}B25yNq)8}9HD5ar z6{SfcktUg5XS$f-nLiH>Mxssfk#***MY*=#G|!qY)MT$B-L>AE!?1K!4n zm{;?9v!fef5}62VaBlHi6158;3S`UQ&9%T@Rs#vAqteP4MI+@O^!kRGAy{Y zxZA{tsW7UJ@SluV6n0#dervtymaOsT)|>eQb-6mE;Ti3bh>+x_I7?t3jt`C=QxE>H~|_C~OEjor_qu4@s35l}V(rr4G0>`#cDg_)eG1HOrlol6g1G zq9>I}<6(>+;u@Jcxi%A3Y!^sXaox<<1pDz>-@k~k?>)n;UBO;ly8flwCGza3mt=6n zk-QYI*-yquf2WelLJ@5WM^xWq{rGZ_(QK78UJL`EbUCTRxH6jdWSCaJMwGSdm3 z!gV+yEiNaXVX6-`6nR{TIXW5=|MNDPt{#?KZ5j8i zjxHVyGffAU&$eY#3!HLH6zJvl&6~_TvVfe8p_4G(QKy^3@Ksq^dX0P;Czm?|L(yUs zs}SJVtM!mG|SXD^Q9@wo}i`Xri9)Kpn(g<&9)5;89_k$&S$vwTsmj&wSz zfr&miL;!^snd~u#KP3$H|8c!gH=!YeYagB)3m6qG3yBQ{HUC0bBaUWqD{SE6c^S2AK* z^GtCRoWKdYaZ_XB)`ya#O<$n9KFBvB?I?%{cQ6j6 z=gC5kYjOW9bY_G&ll0=m+(kCI&Fs9UXnZ8{&NDFExHU7zGBrri=ziY8euh`%VnqQZ z3Lg$%WbN+^P%$=|!*4p_jxCSSfe|~^PsoGaFhUPoud(-SHy5`4 zi0e6B7#_GapYew!4o4yk^Xu(qtJ&DNXuSOAn$vfclwl&2VO)Vwg}Lq=vvtKHnIpms zGmEIz6Kt59kI#RJ5_M~9Qk*X}G8K8z7*>-D?03#FA{z4_=a|lmMKmU#9Tu5$>1-w0 zn5ZNh6NSjeI3t9Cam#e^J;>o;X+`6wL_Y@OlLasncQ~|H?=YQReAbzkWID%E%d5z^ zKFXQP#8PP!d*2STwvL544dJF-T8x~7pn0wHibF7%-ML3W1vAh=V$X3 zzvEa*2ddPRiI9{@q{hcMr!2DHKi9N0XadL5zTW?%+R>LuoM)ESa<(zYL=28haABTp z;5@UDGYc3f<1z%9Z%?0R+5y<*ZT5D~GkvvqmZ{in6H%FOpJ%S99Y}Ou>0;#sToIL7 zwbPu>IhBywR5nKU^*hamAZ@?4)ATm7i`O6IM>yzN8jrd_9p-^urm?Xk2*X!^{s^zI ziMVhVD9orqkNTz*9|Gj_~Lyhhbo za?TD+3=bd2K(*Oh&o?b|N-8i>Q3WP)Dlm_oZx*(NHGoFq_%TdV&N)s?0ujYe+y6e_ ztZK?31~W{+!THTNJovX1WcdYVPH)DE!N^RAg>>J=i59cf8HQWEEKDS_Fb6L%9n*x4 zI1rk?NZOto69@)osf=7*tIWNrsKHNy=>p>IV(W5wHyms6f$=_x){)VIe_BmuxQ`@w z2^oec3oe`?Cn3WNM-dNVfv|LF$Z$jno)!~qKlk{%gqruUjL<`@oe`6H3Ne|YD~g&- z9>$pynI|X3QzQJf@ItfXl8lr^b}CYb$mqun;72*Y5Bo{ejz_ZvWFirear*+47MhMO z%9@3=&1haSWh6S9TC~bOe4&|N-yGF;r6r_6>Y7aIJc z-6lI1`3<~A9!a&>y4_|AB8tKGY~H2VxJfl~f-}{eU5rsU?f;a^L^(QmzM(ZM_n9Ky zk*Wh3<0Hco;>i@m>m`7PZVfN#RL(g)m@{tev}>ZRPP-&b1Zxt>Uv+op(D+rkLVN;yh;0;Jd+>U?Dxeq8A0IXqvOskM84 z(cM}dVkefz~`b+41OA-!!3tpn^U?JlY|)kh`%MQrWF=oHsL*5+3i zo35g)O-F>RO`@jgOvEMt?+sI3*13tC&dt;%<`7v<|8$8t_;Q__DAu`&Ds^rmuX8hg zsacuGXY%&V|7<#v_@~t~e|4#OG~E10P8Oi0bICe!_=Zj#J$j06IRd#y7ytrye3Yy# zSs#YT-Msw@b1*18aHVMyeVaK~nnx=2ZK9IC%@3|LZ37z>9A8jUxQRsJ#*SQN=I`L-j^*_wN1=M^Byu*= zAJMUar{T1t1E-?eOtlxaiAth280iN4TVZL)Ga z&M{eli>!?wEwhDfA}4Hf@zv%Egl!(Z+B_62vpcRa7xvYnDNyzdgT}eedgC9YYD(e) zZcx@UOMdAZHc*Kziuo3Wn}5E>EGV>wLAOK=Llkau*P7cqktKA~ksK;K5&e+SSk}3T zLeaVT=(T34=-iy^EXBpIvOl?&gGkb1+fRtW&4|N?U33`%vNEzOuEW;g&AM@2sIkYd zGk2Yz!`EX~BJ4Rehyc#WxymxZDCyKz0;%s|j493EzBBS1F9nxZU*Bhg~J=~ZTF z!>U~4rX|6Jm{t6)-F{h#Id0}iRpz%UFQAtQADhcUCUP$Nnd(9>mYD5(dj0`h1h>p&A*PA6Z z(6*W6$Z4_Ab#?aE>&@HbaLGWz;<&jTgQmSFje1TVP22H7!UL!6N?N{bp$$Zn>L~ zxeWD=i}l2Q1+I>T2&USXn-LU3j z5)ff}7SD(36EhL8XT&42Fi(d2a3kv)!|VwW>EU=b2~`B>^tk7FY{=}}!eawIlQ=@U z_%IzMDk}95P3a2~Q&U{m2N*?Yq2?4Bqz8uyL=ZmQ&k{CgFCI1**1tcWhd`252G(_fPD zVMASHe56?<^M&}M%Y1P%K7QQt_)f-$NF2>Y{KU!luq{MSl;1?ghdyI>95mN%5`7&> z`lqn6NEoA48ETjnX91;@5}jgpJQn?u;QH4X>Z0R=J0U_oe|yjj^%5ITWqha$qe(-j zCI}wjkkHn}NQWd{3?4E){RQXav$AB;AVGF%Dm5f08AicskR0)^Shi+~oxqujU8lYt zJ7hYiH)fI-g~{QAw03X}Ng8PseVpZF(50C-T%V#t$R0DS0`UVMF{GZ|bdn<_;~*Jj z%<2rXjPt{}o2dTe$BvG%Qj_%w-%W?fktsG&r3bMQJSzSeyBQaa7&*|go0 zVpgfvw0E9m)kJ+D0rWlIy)+R!rUW}&S9enxvFa$+0*ag#kbf4`fEKu5m)0p4L+=TL z#$ily&#qD&Pp98 zmaJq)(0`baP%1fbf)xwvOSZq=;+-X~$ZXQw*r&0`DFb2FBmG*Qamv6O?3U5rvrZ^T;zC|4D2la$Qe)1; z^>RU(sTqIBn(nRvHF)Phh~mG&*l1xfpgTo8NbvcAfsrtCXM&76xcHEs?f2Fvne zFp)S;tb-^`6udV0Iu>Im8@J*Q6)?2Ll8wyNN8v^os-A^bw0 zK00HAqoyb}B%ynmw9*Nj1g_)6hNOz^rlV%{HV*na5*5XUqN3Oka5=*Wv7t!BhQh?M zBmFD^Fs3X63D@vaOG-FM{s2|^8~f3tX6T$mnkA^)(+>g{GLZ3mBy#ibXyi4Bm_|f{ zh}(M&qR49y;WCpJi3LG}XwxyXsBS@O*`^@9Y;fPcF=`zRq8pBxM;90JWP8d)C{jd} zhoLT29!n81#W*Pz_uB2>LRcI4Mvdgq( z+$=(y$n8msHqqp`xgFp5`EheiH&4Ju^jfObYZGxXT!yJ=dm?d-^IQ*~wkM7gxp6Kr zU5hlc$Bvu*4J=tDQJD61!bGw|W#>;Zo+6F9QHb<#>PfjfD!FEJi!z#L0dMC zCzwi{G7-%XD-)5$JFtos?jYfdqB2qBm5Jis{c>$0X+)Wp@d5I65;()Cx}+YYKA1R} zF+{RRT zH=D6ZUa+jq3w6?U#Cm5r$ZwQ@-cg)g0NRlQ5PW>M*_l0BEtwua;p_pEPR?0J=+-dr zf-qqyySa3&IJ+r{r-=W}EJ~+ONPgs$X<5Mj?IA++;zI>t?ZjbR|B+*36Z=k#NR);4 zJUV5zRZH?;f)i#X%5VRC%FJIFix)*@@uCRvBIitThZGt{&fbRh#VOOaU}-M5%B3r8 zydc2m_VPvSn~8i8Wy#yMC(IR)0(idcD~XrJ5GxcUGalQ5iqQv8nAfcJaZ5V?AS9y{ zj)lM>@1;67uK=Yijt^_SG~3e0Ch@dI-{^`Ph@;opH{M__?4NW~2&0k+5!KE$+@wS> zPnLEv%3XW$fp}!v7x@}K8%1N^7saDXZ#2tS^e2;B+{5ld%>2aB=u{9Qd{kN&&r&{$ zP(HGc-)OqD(>Y4wcu+1m_=1NZqQSE=kH?)RvM=0dF5B+)jv}vj6qWRj$mEFij`#|b zgx5Qg5_`oX_8-Wv5yc~VF-xA43^*Q2EF;~(CGRkG`Dv6-W?Vo>0%hW0A3Gsm_bNyf zOjMBQxuSw3FQ_2NOeIFki6HSeCxXPQh#<)en3>g}b81UENRj9u+4E1CdEGJric9STkFawngClt4l0AI56&am-PZ8-ZNgOf# z*RQo-KShQXbFs^t2voQIpHpUjkg`pu&G|KAypv4OvOiF;$4;AT@N2$t+HA_T*E%0< z!75vKlevJi1=t2)BXwwy#eiFsOt2GY58Px{Pwx>aBiR(fR}(cOaa{t{F3!9RL?>#* zHh8iuYQ&@FUCIL!Z6fKixx@iMABb%vhGn*RrX^WxqHiRIU-XSIFD+qpB@;lq*xakl zIxlz>dBLOeUu{;`=dyX%xV7&17#f*If3;Z*_vxCVsB=V9G@^6Fd~Cn+YSVimcF1K{ zac+wA;?6MagKULU5{GEjg^VlNLPveieJWjBAMfPnGGWGvrij-?$0BJ)vcXo|Y_8s1 z(nX5AE>ap@BsYc#VTZCIfqTgz)Z%E$&=qwg@pMSfpss1wFWqdqkdO81NPHS2;C72e z|BQqU`~V#DO}XrOGFSFrI<}EEm5yG&W7N)l4b5N3Zy;@GjELNBd+uw@_uG>Zh%+{z zK9hAp^TK?M8D_MmYisSsX|sOaT{wo1P!*IZ^SR(FLAo$JKFPMf-yH}FIjNm5(=ko7Z7~I8A;v`(ToWz@CL%o}f$y?-8#& zsAW~+%$HYSismQ!dQ$~?7T+PTcsR7~BMjynB~yUqq9`%ZGh9k83zFVw^-1 z?ZB=3qq0O(6vPruu0fG#qSNKr=QWU1D7jHFAqDj^^NzB!8 zF+rHLl`P|9iKa*-n$Eh-yiB5rlp!b4x=9`De7&GK}wew|shn&gCTH`Vm6NmNf! zUPjX~w@=S38s;Q}1tTCcK`i4Wb#DLmbw=lt8P3m{WHT#clXsa7d8XlzIGSuPoqLyg zH1Fk{+^t@`OZIJP_E@@!%OTyg^={M0QS2@o-y?6A*C2l*PT<(ZN>Pf4kc(zj{G_*3JiKvo^`KT9>(foiH?l zTt&%6XG!7DFo#mE1tgd8BC`+-mN*^68raGshQ&^1%{E2-mzx)it zN7>anBr`kr2MU!}F^JOTVcsP{#CZ((bEp$Y0!GO8kbFQKyeUZncYbiaJKI~#4*$ZF zQj8FVsHj3ADsl=@f&KmK&BB_6VX%YQfYs6-B%)T{V`fW4(G(?#D7lo3%x*6c6~z)! z>~pM>&=BDfB%)+!1`^`q1&OGrU?02(htLT`;Y~V$D3;oQldODLN=w+3L2Li!9&-aS zF}vU#lX0gsq3@z^;ST)d( zLCLa$9#}iDmM5d{rB?Q@SnbKMMQ<=YdHRe59`OR~Rc|o;P3)x}h(1gW#EMYlex!aq z^X@m8Zzf1(-M?;RoJoI@go@Cf%Zhr4u^-e~sO_muE<3QFjp}7PYNZ2+UGvp;w2(faUu;j_Z|+&NmTcKX2FKO=xv`>@bX-xCawQi}m>w2AV9abqsYn#1wm)FHx{6~| zRHbCh32HBnCr#~KO}h4N512FRBZ&)6M(uM=m(0V7o~8EN512(Y+hbL!$f-)DthxS- z>*y-_b^3|kWV%^3J!v})Q?46iYIZq1Q=moS>8}#oqUoi zu^aE3qOq2gjak{TbX(XIv6N$qTa`IBHs#*OeALJaBwt+=opQ~zyPY}F} zQ+?^s2M^lk9)uyw=d$*>-*-2x$0OsE9eFNhfo;+Ut1r47c4t^N8kMST4iYG3L{5q- zduVXTZ;FW;)!;i!>vVeLfVWLV8Tl@)MDLV*8x~CLtwVBelUp}5v=9NF zka&rgsiO1a;JP79ow8tO@mNgy*eHxo#ib* zC1DU`gcIR+`;N(m1+wyJ&t}|YU)Q^&*)0QG7uXNI(_CL&o#VK)gA92QwQ73E+$|FG z?|FzgTgZMqy&35(c>&1&=0j$rz!{MPZpK>kLA&`~5EYG$ZFC~`*^sk3^)9n(w_ib_ zXGIW(fm>3vV)ft@tz<>w{3ikmzCB%x8;L7SiTHuzQJ2@aik!yP@84zmcE%c4QM#mY z6*-M7boBQ}nT4ye9>D+`b#4}0d>${#E4luOhF16~+2jV*8{Ev43Xk-c5vC=6bS!u#p(GbdIxTVgM>E z6x=kEs_`3JWEuN41r|qQU<9FXlbIGo^NOCqPZA=ui(W;s=v7To z^lJF1{n)!rCVVQigWolC?33>{5nIm$)acTrJjZut*Xy}=o9p^S5i2n^PSYZZ#X)$o znNbIKP`&SART@-(Y7#%Iqf*gH#ylM;KQZybTkZ$ur@nLYeimLD?(dKI%Y6utIH7|j%W}<7EFgPk=UZIQGs+*+8_U+VBh>c z(^c!phkUh+2x2kz^Y1ggt$d1YPa2;oC+E)?lF$m3WuJSWY1@Wp@23G|gt)cTVceOB z5S%*T_$)avb!;?xo{RpD{>+Fi{4(`BPOy_S;0<-rQbJ*DUKDl zT$@)aZi#J*6}O0YisBY8m5N(*^;wErGHCs$L~)CE8|>ykHEZU$r2r+&A03w^m7g-0 z=wJJ%T}%Y~2S;Ns}uo zX>vs+O)gpM)`%#V?CpyhmqbFub@F;#64Xwl{CH&tEaijDSc&1NKysvHlhE(IG8YR? zr_3co7NJd=)k||lm%6w;1~pYrjQ!X_-l=OzhDW#w9~Da_K|K1w<(bqG@*v1Ni~`iV z98^IrDla*d^l) zBhL(1m#Jw>k4B~)QfiypBD-r(!Rx4Jr=zooV*v$7jHQ3Dw35{FJpS&a(2ndp3U;ME7nUe&=@C?{b ze8lua734B5LWm*pk!?A7%s%rG)6(6B(v^>bVEKiXbP{2ajwQk(kqBG-QS-KXx^P|= zTZyJMvY3}tM(|0Dks2yf>u0A|CAa#!g+;zhE}yDdQ+_vDV9WXhDWE1 ztJbisOA;jZ4Nfw+`7#=0c&abaAY+YE@0?VOsEld!{bETnR%7j+FP)zZd*OGei}aH7 zT<9N%9g#A&f;n{LhN!Jj=yy8>t4|Swuv;E8>-th%U95x2^Je{B&E(_EBH&9Dxk!&8_Z*26UIJ{PBn<`V2+{z_#o zz%UK67r<4;M@0lJ-rnaAGFiG8*Rxm>%l3&_!&nVX+$+DNWW6jSG_-&J3Dd#i!~W(I zW?_XkS|r+N%RgyWU)nB)jEZo{PMma?ptfW=SBxBSNnBf6g)*z^CeA%zr$Us}2Ju&% zR$AO+!sNk2;>9DDWFlw5Y6>7M0Y}qM}+_6sx6SWxQG% z7s9TIb084_HZ3WUQ%l2&7S+MwFRWdzD074vQ8q&pJT&q)4d_=0SK9ypxNET_y*0}-MECx>~PXJVweYnW- znH(yrWISTetLp`L&9nUZ=f};GcDy^;(ts3XVsn}YEdC^9Cn{^^Q)Xk`P#F9L8*ywb z(^W-f?f9q6qa~HK$f>L?{IuDL${M?Ao#Lj%Dr-?mWerzERMw)!p;uXpL}l&GpEjES zioX46Ge>mQ{`1pjGS*e2V^M|y85yFhmgaS4-)GFbGtIA@n?3WpKR1sj=lzjHW>Oe~ zWZlf;Up9*y8lETm^?b65?LTqqlfl!e=VzXM%6vRM=any=u^0ZLd)~~S{lMJ+M{kgk z8)Rqp{K$MYXc8m#Tey_rlY}Rj%QECK{&r^ZkInyN>mKF3N9j$=2Ulc*H>Dn(S@E>F zqXw=LOurQzx}=1o}Z^(Irw%8XkvK4yIFT&NXn1NncwK18^f8g-kxMIb9`aXGl`j3_4S+z?NiHoqQvO& zgZ4j`^^BmVwP$(H;^3&gX*t&#w_jM^^VRf`==pjuIP-}XzBcoFbBU@&AKI-_T$eew)lz9w7-Kgb*Mg@(k|?$Ws9k5b!}jPy|GIsKY}< zL9$_fUe8BfXE{2q9CHOh|03A4@B?RLHGZ^_x^6C)6+fE)7|Hs zI#pkNRn_kwT~B8oTS?1G`;G5njBe5Vwy85*&YyMeYG-%cjhA+9oqcKd_J(hZhfHyH zZ=W#X((ZMCxwJd2VYhK!<(8>IGI9-N+)wETsc*RO>hqMSn-S~2lHv>4#cYVJa=e*g zeYlBNXR(p%_L!y}7t6@WJk*E7l$Tl8hX+}1WibBa(Y}05N|FV&Lkn6C&2M>m;lKd} zqdONg?;g9ls-XC?Sl^D3ishz!NX2DaxiqaB^E~A&^VNJ+um8W-1-+8b(n?;zJN0sX z_uch6P4kUk_@HsXunrmrjfJ$3{>E~Qr%IaYjn(odf2>{3O-QDRq5v70uln+HWM>|~ zk}pqBQFmf<^l%k{FqvY!*#k8;&;#Cimjo%0Ti93MHBqBv+9?absbk$=AHb z+D%StTvqg5ZpM?RY@)f`Ge*laKcjeViiXAcd6MVI_l%Yu_HO%4dzbCB$Z47!Fc^!o ziPcW~fT5f(>Kb)E~jaF5BE)n)ThjgjYBG~JjJ;z_c#NgFs58( zVJjwUsTC(hdCGF6wVC!|C!OVOb`;o_#8^OqtQxJB0IS_qX&D>5}kb zIz~Zm&2kOz<+U`J+xG1JI&qLUkh#b5*6YPOqc6w?wcYTk_VR_2ub8JQ=JT{w$I<$8 zw2S`3oLI$uI7{3kCG@SjUs9}CPvV7ox%`XdJpCXO-)E6r>3P&1XK;27dv4}`kY^q7 zP%fIp4>Mn5%%?AfeR6>kuc|r-hrQJDA2jCD*HXZRob(*yw7Oq&M`Nkwyk()+>YV?& zwU$pU=el=ka8}ZMkhpGA3P12Ku(z8Bjl>2{JZ}4WRcKIUy*|U0do+KIgZ{*f zrLx{UYj3vC+IzJ1H_qC|?bV9{F^NAxj45zj@y!_L?dBS56*;f%rc2mnWf`g)z7Qi@ zJw)6N!^Xl_b1NhB>|h>9m6;y~bJNT;H}xaVyy>R-I!`Oi>z}TIn1}$OVh+XomdD@bdbNpmT8}CI z1=qLaHCFi$NMW|Pzq}>4aKK(a7|Vh?P>tVR}Nzue*E{J6t{eh`FAQm=~=#NUbB; z%@1H=2~Pc@sP~;qG_3Xtt+eGVEz*lLWW||ktDN~)uToE%j21jk9GAD4yX%VD^|IKA zt9wn!pYbaBxM2X}*0Y#<>Z(I(p-x=G2k8WFB>z(oA>&68h>}m--&=~6GaYc~kn!1P zWGX`nAyF8(Cxyq!A$7evph}KBR2bA*7BoRPg>~gxpZkyzpVKcC1d!U_Aj+I+lSOIG=}qe zm)bxdOOVg2HDWH*>n-zuk%#NNK^$3ZT=Q3fL}7LeIm{Z%oAjY^LDKp`n={6x*9Q7p z4Q|-GgOeCG<_{e88)vH7qIX*hb$|X3@e%zkJ<9T;=B*mr*NVbs>5$%qM zgsn`MVSJt0HFC?%g)Mug2YT~T8x1#Ao|S7c7N^Cf$favCW(G6%pz(||bq>K?98%ak zq_&&Tq|D3tyoDS7h-D}b^E)$ce729DQ#=DJX>SzrPVy^s;u`A+`|R=fRJWHGIA^K# zki}RILUkO0R(jgzr@Q0-e_zJ%82q;3+6N8vB&IEP{>G3ObE)2M-NAp;IAjGKb=rxg zKHb7MH1qK_94E>Ad=2*{o#`{2yQQQu+NEXu^76c^YYJNSij5pvFt}HI%HYClu83Sm zBNoxOTz(}70^N8Ox!X7nJgQC1l&NPV21?@8z*pCa;)g~wyAMdkoynt3n4sS4Lp~+|LG5oyAXwV@whWDyr z!w#vpY{ug3;cR30SrfuIkoPF_If61%e-{3~mjg!japs-M#ox24`ykysw^ddP<<63_ zR?6?q61!U7rGvazJFl5Hv-_qE*j->Q!eIjJVeWus z!PjpBj9}wmWI@+FNM4ysp3lfCmTzgZ9eOt7&!<@Ge&$>*;Qt6`scdK3vA$0;5Qs~$ zhmArl2GpHl+{K@h9r_1L7knTc4pRYO0lJ|JrNs`tt6_@dU8A!s1g;p$_Y)sr57rLM zc)~XRyL8sh0naNhzH>h8`rCJpSpHu>`t6e^?1m$L+kIW(toj^J5o~R>%)3OHuso;I zPlTGJ&G^x76MdMdtHlmj6)# zv1a@|@uvjMu9Lb28~iiz?+Nn>)+$?>S3Ru~6??5c+Q8y~)P=OyIG%5zpkVi zf0+`#7Mt#~c4w|9_x0MY>RuP;R(wLv+M^cIyENB+*B;0B5iryuwac2TBF|CyB%9i6 zFvjT8i6_6R_tJh@X_+K7E9nQ)HRq_x6F9*q>2;;ISh&=sD|x>r8e2B%@6eJYvLQvq zV`pZu`(v&?CDVFFDtFPx(5HK~=K?@wiT*(V^<@L?lF@r5c0o?qzn<)Vp@k*bOwgvbL)9P4=FlyS=X~7_OC$UTx5?ORZ5q5`S*c=X_YK9KP8) zKx$rQ&Gj5=>@w~iWoj+@OOk2TrTR}w-nJypgO1X2y2vX@rtjk|>5btkzaehNdI!R8 zTO<->D}6THvrNW@l3l`yetFRwgL%KFy!^Ugr0&jhWSY9dUa0f|Vzg;v`r7qE@)2vt(O&C$tmrNmHCrp{zQ2oS>a2TV%wMOh;<-Y5=b;|R@f+6 zSR6`L`I3!&$ws+}Vt=wxDA_pZtV<)#!6m^&Q6$l%AlW!K(a0Y!jVH^($?}9NG2{$8Htx2T{k+2fomZTI-PV7AV-wAva_?x zdv2q0?H(&t9=5(G$yFkw3RT68@&M`nYJuck<{_8Lv0t$@{lfDphi9KKsb@G_+@7N1 znWeg2xg8ra2SDrt!kiCyE2c#ZxKpFfkuN}gS4w=|FSKL!PLh9AZwk3MH)o-8nYoIy zMgn-w&M`kC(SOqX7)H(|d3v6b6S!HITEQ)s3LPh|*vf~kISP*74^mGXRpPh_I4%)G z7V3Po&cy{v=Zj*O258KAmi3gL)&F6&gLJD0NsXNn+f1WFLzePnbMh+M2KjSYrP2ZS zi>d76ex_HOo{$}A%Kb|HW+qWW(f)S^5~KdnH9HW#+Fi9>c(K?0S*S9r9cQ1OGo7v6BaGb z8+fM-+RSt9Nw~lU`UxOSi~Fc5;j$`S=MGGmDwlC-%bE#e2ebC{eMxfjC=HXih&6nV zqcY!Es+OwoF4_dw1mFptFYV_+w*go;=CeHN2NTn#p2pH-w|AsusnD?b6ll)byqP-G z1o|x}yQpQr-L+mqNtf|2Qhlo;wjGV=vx-j0LH2}tR_f3f!e^)vV3*@=o+S50bGytn zPMPa9cIL}^2wr`rMHvmx%2$>J$lAGsK8eJ+nJr_1BRIwx)%66@9_KC5l=7aEZm zRudoFHu0e2{sws@%b&#?nj+KY)31$+)J-rS>4`;g zeUf1?(hn6yhC3z&uFMDGuX9NwF??`tl=Jmpw5sQW=3ae(y^mNPN2Ax{|5?&6TD(^6 z=PlfcfJ~b~@|xKMnD{1rXSn!7+5mCZV=|-5X<0hc=*sP#ni5g^^WvtdxX+j8^Tm9* z`F?-I+31M`uG%+irvVIc7kht$$V6_;S8l ziPwJ>v!hO7dSsjB-)pT@bJc$pwm#X1cB%yJri^h!ddAGV+XXh!Ub5e&4m&a4N}V;9 z5zm~M*l*2+v%QiJ*-KTnY3TmR0^>RljIhCW`(G8^nUdzIdpU9EI&L(dCg0A3*3$|# z?I29cPIcD4Xs*?uCU%MQ3LGFiD{Bs^N%mB(-l{&;I07RNp!eYI^4Pd;iai!e^G({GV(MEbyb%CbH zQadziL4%0C!!vi79sybbz`?qC*6p&09NA>)YUoby6GvsIDrogPk+YAr5cX1X8#}!-{Px<^y4Md{%_~)KhA2N^C>VYPIwpN z{XW6|Z?IyI#SM$Pv;nl>e1o@3i!%#On9d8(*eC`5$yIH?g!<&xVQAa*2W7s{?^N`P zxilA(`UEY8d+>`H&6BOvB#$1QLkrU_%DZemUS3Lh_gl*4ZUar{X_w?)W)@HMjC1=l z_q3+sE6oQvuftmu2wblIqhxGiAQuhaN}Fi<1|C%GY3YV#7q>Q{fyM7=Eote_;w(cf z2hQ}2OVn#hR6|^GTzYv$6Plfgx1mHYtCuf0D_ByIo7*E$umY@0cV8||UO+Es-XxvY z5xZw!R6h#Hgp)K*`f7YKUlqI1`jSR`d!A*oF<8cBmbRhNCJ#$u7oAmKD-AM9n+E?I zo;L=`;K%v6$Vu}c1>CNzj+u|!P$U>|LviW|bEi0ePB+RG!P1v9zRRd6IMW{<9 zN02A!Ww?~TUCU7sDXU&g-S6B@-o73^lG|(q&zGC$;w!S2u|RRfbd7Dk)Eg>Z*B}uftRB$;xD{=l(Xe^ll;zpM+6$QGt|-x` z6z-orhW`Ol3oMr!>?+f4ZZf9elCu6&0fZgk*djb6@d8Lc=4!wcDrPH#2-l1q(yK?+jYTc>k7RxahRa$E$ z8fq(`Cmf^g9GDRJGX3@!HwL2eZTl5Uk-W~N+nUDhJorQ0=$%u-F% zC#D+fXdCl1eJAA|*3&_g;0LXc-PXOtZyCyEi~y#DL}&3{Qv4nLLaP{a5yO51TX}f9 z9?sq;%r)g6IGkLumb`i{MNvw8zMTv%>!fG?!jsR^VG9gQ_p*mY9u|$|xrXIS zn`!0%iQ;Ch+*3n)9134brHM^26Xu+F>qM}7QFTnB!naKzJnHBlJH*+ z-KPBS;_5{S9nvZ74#zsou8WoTPIQ%<^q>w$DG>gJeLfe*`gmc$Nt8NCrTvvtY z64WCNR-0|w4hm#9Eg{<3pa5jLi*FaYb16@E$sOh@p~x6Mp%+mbm(1}0$m$*T`hX#8 z7L(_5<(m8CL2rMbC>~Na5Ie_)j8REqWiq zn&>p2E4Ralbaz3V8u2yg@6TDP1{v&Kz_BiT)q46y!ckyRkg{13vn&=FUsEhRx^;xJHYP@R`@#ma~F!=e@5QcAS?H)^x4)G zy0V|ejnc6;Jtpy#(4d*$3gk(pfS;BUq+U9~)L5UR;%mkKf(nFauehvQ&`o!iYk#17g}s9wr-`GBq9W%c5Ot~Ms(&LkE=NDT zvGrh^A5{9U?Wd6Vl9HYANaMFF6a62AKuvz=_D6%<*|wIH2TD7equ zkLj_2(zd|f+~C;$IRw#j$s96Re<{WTBtY@3gxr_9G9&-(NCgnwOok{M)SB=>bQq`P zVHUUp7iiQ;AmS=V@hcetjJi}}hoRW+#mV9H% zSK7W|VBmfsb2D!I~dUh zm-LXqzVp=2*|^%bli#rL*%M^Wut1SumfRMPitd)JvXiR4RS1$Bh*#a7%T@s-cq4TN zDrzFF;N!C|Cm$C9W%LC_Zv2FcZXRRhTiuLo$DW8~`FuE=%F4e!Tjk~$S6ZX9> z&L4?t>|j0&5!!u};>*c}Fip>!+>Xk2_wzCrC8iw%2U_m77jtg-AObIQ`5oNnEZxM~ zie|v~eF7t5ZRbVUe2T1XyeIQ~FS;QV5zB)xLat@t3hZmF!18dWNiCHk%+|k_Zi7?2 ztCmKm{K@XaIc3*Ag z=q5Oy!Ryrm4s=0?2n3kD))4Fz$lcJ&aysJTae# zxdWA_sQRjeC$*6)Zg@cjlkiQ>(_*8+@03yNGd=rIxn*YMUd}`MWoK?pbKmgDXpbWl zyLkh}`cH~|PA>Ch!VEc*`FkIVb^c2DDYg;*v~O{7wZ8;%?XFrvGke+$2C-keqqLFg z2JGWdo-4c3?+xlTJ2W8+!{4t1aHta~ zVt4lZJ-5qrpR2p06#>r&8eA>1xnDv5UcrRY1v#b^ch$y~XD%Sb=m{h?GN_PqR=#*r&WatwbZ>_$aO zhWkg97o8#~?Y={*%r)wtAM9Z=+xp#-w13 z&$rh8jOBA~SiRu{*__DHdcvl&m%gTF)7CjKY#4MMN>pa&KnvCCNR|}<1moe=C9;Lf z^>hSeJc(#Pd~#!Wa3Ip@?exn%6XDAxN1#jJpaz;4tw%4Q_35vB<`?vW`bGRaThKKy z77mim`t|FgUitoBvYjvhf2OQ_+xdKXx=*hT+0B5%l%)%R8pG-3y;@X{kJnvMSp5no zy13*`%7zwli|v_s_eH62>Ds$7hrFz^mCu=;+Zf(UzuD~D4vR9|O)&>ifnfgwb{FRKHESDa84~!kFJAY6WcS!oS+N7r=9F=@F z$_%}V8l_j&Mr!z$XxHTudjK}ugf3|WkW2Iys! zi?bB7Obp7T%!9u}Jp3DuP5y+y(6GDS%H@}Qw+4hu?Xg%j0UECb%5t(c+abI^_lK`wVtdMB?2u1I_hrB|=v*uxal5;o7t zKsiU>kZe@T;941fC)JSS(Xevy-IXn2xw4EB86;(K*3#XCj!(25&)(5n*p&HH{22wx z9|ApMQ@W`9y0ouP82_!|e)@lXZ@Jai=V8R#{h1C;q#}KwsW<&mUtg-qtB2bGyQnB( z@OZZCO2>0qJr%N9`~~@=d!ZP{a{`=tDPVYLHI;_8(N!tagJ^TtJKLJLs(L4;#7(vub9Kv3HQ_vtEKstPo>Jhc<=)p z2JRjLt!Vd=we&d4bcw6G@|(_)aN{2xM6=hJ&w{wvIF+XE_p&WV#i7=|rE~lyX8K&U z-*R4O;N(poB#j-XqXTgKAmC8`!MgNvA%q*b8R;Cop&qC5A((=tlvqf!I^*7dCi5jH z8OA05U_QpL>aB1QWxPC0>bRM7fdWi;T43rMwqYty%l1Z=X=HKsfZJ4lhMwYfsWnt^ z^*V}He@L;e4Z{XKbJ0RT*I^X)SXq}A7tfv^PSaR~gGX2Ghc%;yFgl{-Cqb4}7H_go znR8WQ1)Uc;#6@Z91}@iu(r`4&x|T+D%mheiwarWvD(V3QtnV+@wd_K zIeLf!*|LrN`G?7$+u-@qBO*5C1-6(Hh9vgKR=uJ9|;FVIx(+B$pN9=^9YndfAGhpB?DU>ycF|htS z8QD_N;ZrW`Sno^%jGD}nCeTQ;C%E(BGUUiFVpqJ2k-C@l{R~{{lD6-YMt00r8nu-s zWLRgipXQhv$u*Ho<d=f||gUMvRv(cz9S>#QOcoQ12^fXOx3u>SmhNka974SFs=Fx3t2BNjZ z-Yp|#bGl+kEf}s$#{`1^MrQG|{E+AB2rd(=iZp5-43(u@4DDnULun}S`qR^gHo9U; z=(5Rqv8jQ$i`#CZ*2ZScna5am0>$I)cTi05T;vh*XUU_a<~Vo-;>P-VqZeS0mVEU9 z`i9?3pBNgo{RzLRZ5@kd!oTNYH6;|^oNhiWukaP-4jl$a%Rs+ekt4KL!ifb)Rx6Gi zrL&ng$55VXqN5wqcMWS+_b>&jUgbERlEdXXV?sbOJCBJ9&leT?&leOMDEOgo^NB&<%(QaO&Gc7i9o+-uN zgs#+?K^wW9_jSrIx;`)Z02L%&u=#~_>Y75I7#he$a=8fv4@agqUembKJj&}eK3q60 zR8X%F_&6%I%WTGPk@U7}%mG0zyJ{CNpf7M^aD*`96<4eKW4utmR ztgLkZ;R6~EySi}La}*!(I3?bL&P()xa6t*~RL?PEuAQ~1ZQD_2GetL0EEIRT8cH?D z2!bgNDI^|*)BhRXDkOJ=DyJ8g?4(fSKK#4*1y-liov)3w57fmxrHL)nVZh_?_rm@_ z<)~*U+~h@^Na|ie+)V2B(gr8AWhmWDn)4Mr%Lk&Lb24A!niNXEaBaB!QQ}<$rx)xE z_j`+Cz1l>Z>=DM&8F#6EA_S3f!UCPCd7g)Yohr1R2%O$BHF51qy==*>#X*O+Geff=)XWtEm764i0ThNTRo={vNQew z9mi@Rzkx^~tG_s*yg#zxpjEg!PZM_I#0*jB`Ot|o$`=kj`w44(+CGib)cs7xHr(u6q@HrnC2aRS zxLug(Iix4aH(KSYuUJjOkG^q!`7c&CAk4ZFLNcl}F5+y5eqUCa)VJx%Q;}Qfi8FTb%SwUlGhCTMMYk9S*0NWz)Fz1PJ zuUIa*&sp6s7_JALj~{ea4>_x4Vwf&)jb;HR@FUJqkBZ)jre$Em1Z?Q<#D33kro5n` zPl~x4Z%+Z)^V5z-!wum0kEb--D@=Uo4N=Qn?Y?gATxQ{?giGP81=LA9oWcKC~G z7+9HvU;c}=Go~Mj`4{^p^SE=ePn^}K&T0=M15baYawAhHJ~%NNFj0(1ddgbBZ7b0t9xfTr$gcZ~+A}o2O89 zY>F??#~(=g10C`brzn``lG8j;^*0OAw8W#Yb30`Eb)E`k?aqvxO1;{4%ngAsKot3M zpRXb}uQC*$5(rN5`TF>L2*EsnLp??@g}0HOLJ1&00XTGEiicr09nKI$DBK&Bl~jeQi4>@JRXuIvkscSD z=0Mf^s@ZTREG}@!YM84mB-|_9+U4qH$xqH#AU?hXv-=@Xv3sJw$kQ@UZraRS=ny@r zq+L&7Bd}f+wnX=PoW%P?3Y1MNk-hW}$qPZ6k08_;j`U2HJ#;12a1Dva!-EMCHOY3{v-UsY+P=?5hJoL3tV zai_92hq)MX4VAu>+8(A?tGJy)7{d+szdM=woT1WAt z8gIJm#AYe~3*bJk4~9ntBQGn);^KKq8oBS+NcjKQ`jGXAiLyjD;sWFf*B)o7S;iKy z^n6u<88;sXIqxncb`COR4X_1LN@!1TQ*#$&*9R;6E{ zfCA>Agnx(`3Q0_HQBnG#Nu~Yu4irBuqd?w|hym}0puVP@6s|+|0f)3kveqiPPpR(> z9<`gyY5Gf`bpt(r!w4T=1o;gtE8`5@f5b!#gwysdm0@%_RFP?VP56qot;0F&R-B#g zcgye_tv10nopXb2f}vrdaAhz#CXjbqAb53N6yQZ=Ba3MR&)3dLVU0kWBP`*}@C9;8 zkVv(Vi%ZucI|+$4Jxoub6c@n=D^I9}7`78!P_Q!vG9vB2wP|nOM3IhvqC^s0`rSvN&5dz}heyZ9|7 zi*zpUOeb#(dwf}5Y0OumbAobRX89~C3fx(6)dFc$i-0Y%$AeqsFh$a{Z|l>15qJ_L zb!Mq6IZrhP6KLgHo@VG%BL{7<3_EBP##J25A_%nHOqbbodrDQse@`6}%Q#uIMU6>p zqt1m-AYnN^k9vfAO(?w5#ec#5qr;pH$C3PX1DoJAC+`KZ0o&}5UCx`Zu>v~Gg_)Q% zhfL)!*kt8J4hJHpuP{t1)ab(!?qVn~h7W;zjl$miLqQPKD3^@@YiSRj-HH<}z<8Es z2Hi!4DSaQpZtrt2cpmoud(q=eeFhhBvQl3pdydkvu7%Jrr%Bsw)^l%kKdhX*%eq5} zu2a?-cPROo zCZ?aA8o%KS4#ZEws=LfiUO3~2$Q^QvzahO*hl|Y1m95)IpsYjmBvsDbM}hbr!G*Tb zOQ;Beney(v6w-C#x=02t=%IB>|2#@hWA8UH4}y5R?$1CL3~LCwk5KTPXP znbj>R2$F6saz%c=cDdaUKXbwbDDE&IN_?xpEmO$F->Z)`sCAd1qt56T9GN~K8W9(i z$P9%b?KEa~KRd!yy!*b^-uZSSY9MO)Y(99yrEv!~91Uvj_7k={p;mi#fH+aytE z*6Fh1dPHwe(uW8aT2cfYktgF-s8syLZQ@)NjRia{rFix%vFB4+EMQjE^lbzWJU9Pz zy7`PEGSdTRM1UGP&!@`N&B4;4k)qN0Nfcj&kzI@dzqCF}a)wqQAafcOBfk@45l#M> z?)C?~J7|Ymqf&uSO|%zq?~EyP0R*P(Ry|K3$K*Z@2ki)a)HhJOrKj(cAZCY{t5xV8 z_IxF1nCD%vut(@l#9wvluT)<@~fs0H8ae za!lOTz0YIX-LJD*+5?e8a_&divjMXw-3yiSEM=?-Wf%bVRd3IU6B}56~FD;Rbx1oXg2mZ)Hvix6aIs$_ zGhd^WM`(e3Au!gx_o~AP363?`;|9xPp@+<2F{w365G_&Mh$qWa%mbudq6Cyzuu)=@ zB<3?E#2$p1oCrnD804aOh_p?wnVo1BeT2Nezrk#tAtYDmha0*K^%dy8M?lFnyrI8F zik`hbeRg(X>Mi1Nz+}isM+SN}-w{b}v(SheAZoKPRs-~eh~NDjqa1Gl7#VEwi#m4& znElg6VmHa-i0QAO9cajePP?sNfbD1$^*qbpg84@Enc22$Xq!TwDHJgaW^mt9 z0|th)?Je#rBx;YHLxJe)oEwBLTa|X-U5FBefLy_5q|y;4za7l9cz~LByE)u?9-!9C zpn+3)QOf1E=M~V^*Tyfhfi`n--~=K=JIso$w4Xv}kUVlygZABE93t?bs3eiYndD*4 zPhD^Ht|<+8s>K6vKcwG6iiz74nHVjlQ&K7?MTlWJCBqH((a^Cp2aOB_UeVWL-X z*OV#t3i^No`L1RXLE6%YB%De7+)$TgHZ7)Ns?Ho-Or27C4;2iI1+Y^mOqW#c}XeT`- z);$oe8&Pe_?7xw}@IChVSAmZ|0z<#l0pMTS%B6QRm>Q3}gr)o#)N1WwN)Q}?^Yk^J z0qO5Tz`-N8?4s3FsM`%Wi~D;~qfB&gZoW0kH&hK)EmFRLYWhHXkK~l_QVc}fmSRrN zlG^p8k3i@>Hz8iS*ARM;c@k>wo?#x8!4w;ZiFTHdTs1@81vrKNF)Y1W2C9zyfr_>t z2aZZl_>RUYymv2~c^7&wTXnU2$qC-BwN=&i>yxEUrZgprJSz|%qvB!Z73Lbc zsm>f-+Vx?Tn|oZU;Nqs!`{z``H&;y`p4;*o9u>QJ9>*tarRWvFG0<7lcA0M*pY#7V zlLIMdCg1cn#TL*h_vyCf`rWQ2bpB2W6g10J9plFClI*xy z;LC<9lAjrK3_Nr&Gxr!LQlkp5*hGnkXfG8#Ni(u%HSH(Cs4BcRJ0A{v++4#Sg4SH- z#ECzohDZ=p!9fMac82}mV{>sVRD^TnVQDz%u#B-_Jic^jj#)C{7#IKmG114#jb8qP z_IyY-2>K+armsTr(PO3)Xc?E&(5o}l-R#NM19TvdCp0t`X%b`Im5~}C!o8A4;ij#! zTxJ)U9XSITJ3}%P{y8{DIl$)iJx+tH+ zPm&BxWnIqKN*-5s-9xc1mFV=_HHcHiR~X9f#kZ^f?$kDux0LyeQcu`@p0KUomj7;F z+UNso?0@}KnczVVpPpDpu@kW@8~E} znqYd78_lSnb!*rblsjgjAuNmFzQ7e1`?d7(`FS-+i;h*hK!D{tDKI(eB{(0jKNpcb z=U&3Qd4tSVn<2+%>9kFO9lRT*evTOiBl8rgWtm?dp>XO^67bl{yk559t95LEnL|;W zqQpi!faF96pQ7SUHu2{&*FGVM{j`Qx$!=7^?NoaevPb@hj7FDwPka7h0~UOM_`q`_ z_dE4-g8|AlB4}9t#M0K~e3Zgxu$V6(YyrJ<89(XRI~fD?{DC%pG@WCy&?$3;LFN!M zL+#9Jd$eg+-&w3Xl_CdJ>iW$mjfnyk68J(Rakpv_l9@c=J;d)K8v1|%I#0c2A`swk z;CC1Af&{qa?pjX{SNUgGb`9@9lA1Ussz%KJU#j?lhKr;1odVu$Zo*@$LuRJx1V=OD zAEh?^pQpUSZlQ1nmU=#gia!;`@`a5Ec-Ic&*@Ns#6v&R`ekcv0m56Nu!(<<~Rkjl{ zm=9+ZIdqVayIM=TKaw>r^VOr&xWh$`&H+YPgVKPK``CZ?Dp^7orQcTV3MBT@jnW+9w>(4t+?0k_8-!&Xt*& zZ!%PxQ-+!=q)zC|5ZTo3^q7SMJ1(JUpE(q5KfJKb&{%s6arEy_M5q^-V!oFRxcd7U z1=LVhRa5y0%nCHC%HBpdKJ>6o9 z==#L_G$65r%HcouOw7V0^#KzZ$5qzT#MRA>UhwyjLxi>?g)Rr5DN`BOr3WpFR(!*W zLHB}ZZDq`4<7tgL^A*VuzG`ZYEW&qxb-sDc%tiKGV|K9rcZifYsX)isn2QkJBHdMS z%nZl?_-)Wh;+06Ws7B(}H)PqVf@#T1(RdiMF`=uMnaI5`+@NBO4az zz~}su$rM>lMMeEk!fno_MgV~x|J~F3UG*kKyRkpZ^GIgnXBg zCU@f2cIdAW)hO<_6fynKi3WdbyTHpkgMdHY8dhs)M%EQpBQuqyhLw13WCPX3o{NAt za>}fD#R>0!qT-yFM)mY>FV9Ilv7+`>PO7f$_R|@u0j0T3J~D+~)L^x6-Xla?@KMJ2 zRP!l#FE5Eg^a7?GJ?wzMv(yXP4}@Eq-huKdx>n6h-96T`gh4BJ1Z8>`rpag8JzqUw zcut7(!tI_i@#|q3x-?KrxaUcvGOMromV>;?Txp;tWrw-aJPe6)fY`qY+8(Mh3)gJ; z`4?L4Gfu!Zd?9MNQzbBJi~ugUXJ1es+GnZia}%jG{tsmba{VeJ;hrLu(jio8R-%g= z6b$B)*f#1jENFw=v~NiSl%6lvE!|>CX;z*;AIG^1B_}<0NfOcQE~j}69;>qEG&f0& zk6v|EtV_q(o+`hB(+oEs zz646}S5a}ov>_Lf(z>D~m+(!%W4ov(q+5E2wXKL1F#?0R5huU*W4#1^N4ryCg^z&} zf``iAl_BRH=l}x?8XcPrOFj}RN)vbv2^?@h0ML1LnY&g~K@&VjB!U1~+tMUV<#>eE zb(R|{5##c)6HodE1_}A?A4=wp)pR*sm4VG}oGE&WN+>7O{|xU-sbR67sW5qz5{aGE zBk?jdOD?10K!1@pNc;Q+)?OSvcc8%Og795x;5&MZ45fqw~$ivkHqscPd!bIQ`bhHKBvi~+b634t+PG(YLgmbDa2Rd1yGS?%WWW?7yx53Bt0 zqjJgKm)$=RBUcjTUjpTNydT(;tTg zN5}s~!{k7?i|fMv8^BE2Z-N6_jTGuc_iqWc8#gUhQi+Iw&(Jp7;u2IeG=ff8oH_9f zRZ`zfi*GnTRDvuTcyIZtpuJe`T#ZU=m6I9u4KL^{H^g3~Wb!+@F}adDCx4;-$+syL z8!|mP0Wx*aJYons9T(koPCXsq-%H8Em!?#X1=Ye6{-}bvDO^bRoDm&9|e1_gSGr$QwabUlGWhm{I> zWeqF%*AS&d_j9x~{oIPAEl46P*WO})#BcF9nzGvEWO|A`W6YVk1@n>q`v&3=U@z6P zEdNU9Jer6eRYg5q^0ZbH*!m;VNTjp$SCiBqNqv)P@p}pva`%|0sL1q~h-(#@sCGv( zC_IKdFt&-z3*UlCh%Tbsf^QM?!$WX zL1MD_Fg23z$+*#u$WX&DQf(hKJlRmU^+vt%4XG>Cr-I-s-aiq?^SB?@=})58{`!a& z{~fv!p9AK%(t%8%^evM&qnZ)dGzxgXIs!9!Rugt{StRr8v zo&(YU!jNT7x@rzc0Je6^Q^?B!5%5$)3afe1TxTGa%-oz_ok7M(=A(^Nh_?$HsTt{X zm&g7X4&~(rio!)zq5Ql^RXh+(=0yUzfoQs5Wjux7zNIe>lS|*}Q-j4_HLTx|wlMK% zrZ)!4(MDY5&NibraG+?Xdf#$9g-@Ll>%Tv_J$n47I$2 zLhg10!cwZe-NUQ!RD=ru&lD=S2=Z$5Z0`U((WE%F9~0RHQmBw6h9bju$gYmHY?&>4 z^?xWBJqrdHw#S*XD?sQs!vlp-sN?Z^ON`jNbd1MwBjj29lX64%;UN(?QJtMKK#i;h zjGAKJMDM`MJuSy$YH6Y7ppDF~XVk&(mG$oxke{!#H*`-HDF7`2tT& zAA39>2CeW5iY1YDntUA(4|{^!Bp$=`egtM?1vO57O5Ky2s6%`aHH-FaoV+WL+(zxA z&(HPW zK7HaR?%j7yID+cj@b{Ps^okFS~nSJhi;8;b5vB z(AmFk0ytxV`Pzsmb@2+-<|g=Au6fEa6-8!8E^T$xDK!3%lOqjtg={f@Bjk>iU?#!i zxy)#x;TkE#WJ7?oaFXC~6=x=IrOv4rDB5{Sq~&6Yb~=kEaUe?o2`~+_4ZaXIP%~o4 zJ~?Q@QyR}_%?v!^rQjfN-r9Rb{XikO<)cGuznAd1f_Ck8s!)=Un6U|I=A-b)j%&n~bDq0;3jvj2ywKPB z4MC&c5cv^RyzbQ~l0^8`usi`+!PQFgWdXQ#`aO+I+Eb zgky`1E^IF6m=nEoNh^K3UWXq+I;y9y114~?CJYRiqv@R9#TO3{5*pzI_<##@)Lx*F z_Y9=$zu~}$_YJ`X@B}@0@pLu?-n6aPT;LR8cq)rLw(cG)Uras0@aYk#r0`r7sjL#S z_XmjLd;^n9yJfL}r2f`G0`WyW_(ZV4GdN^mg=Hj{mwv-$N$eRZK>{zFsq^}fag4!o zeh%HX38AM+%87i>`{VCW+E$lh1F2`f^dw*ckZW4)i3+_pacT@jPVEn1b)Foioi*Lidl!?A=#5* zQUvv?YY^zqMrV)bS!K1?8_K*EE|Ts6cA^pTqv3EH~j_P6;JaZcbLVOBS?o|YE&ziK9b*IQ_WGQW9 zDMs;6#PA_Zc-a=!G7jhs$pExBN zd)Z}8KmpGh@bCB=R8)H(au;(EMf|&C+o7z^p~=oVX#5`7#}2!B zl-o`rv9el6^sDUl{G0KFMa%(}?NjCHiS-j;VLQD>EvPVa>ua=nSkw43u%(NsEO`k8V^o-MTa*`8>;5#r}w{9E6D`J;3CT zWXC$FaHYYrNF;D(hFy>3xba(iD?y9MUd8L!l!I!U;l@~D+xZ_glqa?mq9)%{Z+ykp zy^H>=p|rz|_9DcE@k`$@&gvZg#BN4Mag!r?2llXbe$o%QlO}Nxj(C9IZkGmXk1@Kw zspyH$`tK<7UMzNdo5ns7y7Io1EDvVMDHw@q{4bis+^$jf{d<*t9}eIjQSjOUl?<3* zDVIXyC?F7j!n4L6+DeTYqSTq9X~Pqpu;OYoq_Br|mB9;>^o7jJUt{q*E%ktAH@Tod zDD~BzUNs2k&*Nw3FJqgimN8bg+L+RcV9(bG@yj9nWs2-2+OIQ|RS_aM@w}3H@urE( zJJBB$8Wsi-Tf^8OTi(p$J z^2e4)1{=RwvSl)jwn&EB%^eb|f^5HJwHj;C8nq@3x=#!dy#pGuacr$>RqU{0N1*?+ zNk6C`(AiO)ozhvI(PYduEMuNA-&kP4h+*ptw%%YH43^wzuok$fFr6C_Msn_FwTP?P z-CXGZL!>4hxg4I;K-D7`6M}sfE`KiktU6W^(Rp8*4^e=M%IWLb@3=pF9HU~1@F$(& zGgNt){hrZoKE{qSqTp&uGb=UbGk*(X(;?+@$BTBq^GYVW{0?oHFgFOfP3{QawgDmI z(~!DJ<9>(HJ3bluIl-96Rb6h4eTIdre#<-=n_=Nj*DOaRBx!^I-zzDWu{Ga3l;Hsq?${}O<39Lj;N4PXN!gY6L zjv3}97PC{;p0LNlDqPRJ+0UY;g`r%-S%Gc?fh@J^@8B+UQwD=B=`>vaVIz4tem5Jg zJ}NC?!zECliT&UN`lr^TpZEk@Zg=-LFu&Z$`0{RS7M6wAAckN!40MMTEv^&D4cW%$ zo%YfUL&I;3Dym2fh zYgo=ryX`_J2!7gCk*XE83znK|cp%*!d|0Bcu!DTnKEhS94uYiabZ9WzDUd=1Ex zGlQdri_O2K?1-^`#7IfU;T@(SQSvjEo}OOA)Xg0QeF1GEO=wxmATODR)o2*yGyVsO z1HlJ8$U7WjJNOPhc(!Q3wQCR)o+a&zn#%!20S?`Sm$e_tvGfi`1`KjRXh^Gh< z>B!JaXy{;v8N!x{Gkee;4+#%i=pyF+SN;G947QH5jZE;pCKS6=!eR-T8EXDOjwVqCL>YDiih%n zi8f)PE&fWBV`JK)-UQKG+f&BeDDa^xPwS1~@R*y$RjBI@cRysv#|&}RIut4FCpN=5 z7;&+>=Y-Rj8#OLrwY2*$F8&Bul2$u!0qEt2Gwc#2kfBLfBQ779FHGV&MB(JqxK;=Tew`{ES8T+Q|K*}9t91v$zJI(2IX|83_`}wZ$K-l%#4RkCr?eHG3PcaZ%5?p z)L<`COwiwBi;!*~qoyDf@FxK)Z>5^DAEwH{<9N{nY9DXG|HmPCA={)~1n>*{4gOMb zwOXFWtMNDzGMlYew_w@vx`o>j9I8n>H&ZbjBogMFf)I{GREVLD5RD!AQdVH z(l~ZS2(>^>$ce@xcrqw9V`zd!A)FIOa)m7q<EHgCN zSTuAi-rjdO9Yvo#Pp%cHpRz-L3)K)D)2kTfdRdW-jlfQcpkYq=M89(7#v9m}>M2e? zpNZhEe3^N3;TUZ|{Gx%q%Ct$c#I7dHG2&PA5n8Yt^%5QJ5^j>+5tfPJU{|uzC@;7I zmn*>YJv`Gr2h|mYnRNdk3Ri5VaE}(UKe5!Y5{UIAxSWFiiJ)^2@BdAOdXhajYngZ* z=y>y6c~@Cj(#aGOZf7y(E80W^FSgFa(AxeC`gE7GP(Hdc7++712@itqs?2a;%sF1Q zR%~VAtd-=;VrB50^6N1}irjFp1U!GG{N=JT?DANzZe^KW_M%J<{mGdzkiTg34Y zHvY%2;$9j*skA2dkHT!872U?d9co3iGg@h`qF%hw8n6v&VqX@SD1~olD>S&?XFuO~ zk+ZM(=9BjS_{M`evVUoOCzTbeSOzt-0By&Gar3$I8iwIz=Tu2X6 z*}N*}oPy%X^PHZ895!zfzp<-JxMS)J*XWgUzrK%e zm!AKp6H-pN*;@5k82`>CJijaDN*{8RNl2dEUFd{KhE3A*3lWT>+fKJ%XA5(@CY))) zSi@rd`(kv@r;RAD434TZuxX(Sx?M|imz(8?a4uqrIcQP72fjTfDTXQfnu5JZ&P7e~ z8aZY*-e#kLjq6bz>mpiY_ww{D+5vRNQQ8>(GN;oD)@zzE!86&2%9TY?wGs=dH36&ad*%g`Dn# zFR|Q_vnW(_KLz_P)>e`oK63J52iO>neHg8TQ0K*9u&+66vyS3bJQCzuY3Jy0OT#6E z>GPN{p%{uL4ErbR8Mfv|mV+yu@QA_{lZs0QrFqk2m#B%e{8c`gtt>yf@^&HcDhUIw0VLEl|)^Smb+g z7;|3vQzjp<{?Lg>%jp{;J|K-xciltRO5~5Cu5PGZ=N-UCAY%xPvfm(eL$}9ube}ZR zp|55K-li{S#b39E(!@)Qp-)P=W^WAtXYHt94fl0Q-!F11GtY-cmq$~~+Y^8EX; zcFqxdx!i{-4CzDesTFC~$}f_wyQHv ztb;xrPSIZC^F;Xp`aaQ9Its!NXqlEj2YYg_J;mA!xp^oW5tZX3)DKLH@cZd#^BM9C(E@JqT(+CfKpU4to5!HbiZ^B7SB8!(#%bENC;DwixqcYq09OVqff z(m_1mUl??zEvi)PrB zbj)M7fvsRm#Y2W1`LLlzJWh6})b-+OU2@JErL zF>@-Dxp72+{DWMM2_{1A5$SRz&M+4r(@N07cbQnju#%x};jea|y0iQe%GMplp0x}+ zn+qXp)8)UICWajmUdcmza%rTxIsDixlNxs5@LoJG}V^1sNk3z$(8$RKuVYNaF6%tqY z+6>>>E;!!8;aH}LCmFw#j~Z1tX&<|SKTqyX@Q#<*!CWMOP~eXyiC64m+?5y~_|HF< z=n`=$S|6TN8eZrUD%;MMGBlrTW=E5JKi!BL@A1fYq6^j-<>WMU8`q;%g*#DB4I{P*s&MEQ#ftD96RyE32-A|{D&ZfbHuQ}J>?am8(}}9Nogr#4-pC#ZsvcoBUJ?j zsVj$gl&)9)kU6}lL--#;B^S|ER_3KB*%|OWkMw>H^dMis-P4 zParXm)LRtIGag%_d=HXthwzfk>=cmY0x%6d7(?W^+w9E zT@22*vM9n*D8CYXP{hxn7upSD)671^0vXt`JT5yk?V8vZTR-gnJAyGJh0o@wt)HG? zS~B-Z^5wCJY-NraQ*#_nhjWv>1HInk_}#8svGHV~5-u0PudRr1BZ3irTm*t}6@@L4 ztc}#5DCLh*6|#fqMwHJ8tyaYI=E6>~3oFg}s3?b^UN4%B@#(m6ljOT#>mCxb&}!6_ zI<&x>M|k!)Z^o|oBID7oU&cdYmZJqPWrNuE2voBsRcB*KN}{X$v2w^IDpOvM*dcoHr%zc$%FHtov78(ey4(2sHxRm> z3c8@irqHQMA#R57XHP0D8s!QKEX-!;UhXp)JY-y?7;-)xcxA+)5K!pt@f3&Pu||x9 z;Y3pg%#XZzCyvH3$2#ASF*H{;1H7+NAJ|BVZ5W|_@$ZDyQ z??X!&l0ejm{PzZ^c774prCiFe>wr+Bux7DlQa!|Xk?5kwnM4;=rWh|)F)x~9o`onJ zc9%Ns37b`C-?^M#wv7tg<=fBBpdY4{_1^D7?T}|a3jdJ>z-?C3XZK&!0S(`D5q3N5 zsGY4T!};{&sLZwOj`*0d(XnH)zE7i~6Yd7s4wysyYtbGT1jDNy(6DboH4cRYc=i=a z@eyx^@s&ki?D#dJZws1eKTN#&=5Ctfa3K18vrA){5p>Sf{0P>k-7y6Jm45^DR=pgF?W!A81F zr!k@wP9-lH&ByS|kqD|rJsa^C(bQKt8)h9|S&i{j^*}?m%rjihJb!#SO>}g{8P9M$ z1WgOrn(5*OSk4ge5k9?_=&Gmp>?SP4Ii2j$rY{}1=;GHH>Iz1U_fUevlOVb4oMmQV_{M3iB7dJIQiZ~gdc$h(sEl8s_oaUlN1pFy*xxZN?^}-Pi&M&sJlbvEA5V>@;>6yNx}@K4ZUez&Hq5pu?Rur`)*5k=pWv_YQ~WeP!`UoIK-7tP zbdb+RaJf;;MH0}0m9SXMhgknYH1RfzC1R;qCYFm8Vx?FuRzYQZtym{Epys(%Y!oeG zhiDUd zi`7!qtd^@~YK2;iyss*{vHnj<8mMv4zR2@>#R#Z*;F?C#>P|4HkHEdC*RGnUaDt+bZyr+L%?yXzD?h* z@6>nbyY$`qK7EhAUq6yc$R5%U>qqrt`f>e){#qs^9Z&10^fPexYK=yt&ZsvUj5)?E zW44{JwT>BB4}X5d>tAm0gkj|66jm3tBfOk5hb=ekh3+t|di4)?)2gDszWRT^G!^}I zT1FAzei$+T{CW15;nE`Nao%9po++^F)x$C-q`+=A+Ug6Ff z^(NT0GM06D3hY|>7O?AQ&w^ct|7);o{#meV_qTyvZ~i2KT{{8ndda6?S9JM(3U>YX zVAq>+vRc?#uxoX8<}T(={O~N;_1gfuE_gfGbvD4RLp~I+>uk19dh5+mzW0LV7LB z4_wW^|Rinz1=&OUcys<4X|gcJ4C{_M5k>`(HZe~_TG9IKrtRfn%ie>(pWrr>ghq{L1lLFBz68?*Vfy=zn|LqjJ zB9U=T4*$8ij1pv%;@nm)J#JieV-9VAWeRo#B6kxV<3NV|K7478D>fyFovN_&3D(TJwX7MBd zv-n{EW^+=2*}N2BwsU4ymta=6a|Fy@b>RTBX+lP>CIU^q8eyv!BOP>ULNAe2A^3khE!Cln$FAU0RP!qCo)j9!WqbNVlBX_)l1c z+3Xf1cxHc|KA+5p2Zm&ZyLin&CvQ&YK%%QJ&?O@l3+Cno5{W=~h%Z(Uh(&$D?*4E$ zpD!mE-gmCJTOV|y-j#Nn{9tjn=mdLb+AXB;{uS=F)7@s`9dWk|kzuRmR_Yve7={Wu z00DF&>CqASY}Ee{FuaCgxUAM&sUHhk+HI6+Aw}oABK=}BRBGl{`#YETGD-uPMPBm; zkGG4*toCQ@M=?QDyuMmgQk^4kH~1Fd?tbQ)IJ%+;r{PAkmK8fHt`V2R124}tZIdG$fDe$#lkuqzGgjBEin!j97LL{vwUC=G^#5fqd-N^*0cBxO;+fe%;Aqx@I}^Mhds5?ej) zrfJ#f`QAjPC(zX!yWSTY;ER^}z@86Pn1TKt??9jbpNPZO>AUHz$l)&lIb09q@c;Zb zB8RU;C;B@ehnx21Z?Zb{V%NVbcDOGvTOSN|IQOmCVe@@phc|wT9sZ`C#AkH2f%u5l7yG#gn{#+mv3Iy*&AnpMI zarB%B#HH_%Ks>?>_iJOmu1#yJq8}E7xECPAm1y$(m_mpjK>hvuf)GzdCxQO&A;d#I zRuJN@P)hxHLx_QLdCw5yyiX2*!MmF(AZ6 zkgz&G2ys&PWX8Q&*+|!!SqV>8mNzTm%R;&iEaF@|kB7Lqv%27GW>%-Skcty;l8W*3 zU>7IeLMqPr_oQO){~;9%w4R+Gs<2az+9b2jfswh0X%9k%i0d*z|27yi&!(?JF~cGS~T|! zW^qOuK@IPnn8jVcXBYgRKeKpH??}P3oNzlQW^tc4nZ>;#;ffTqxZjj;_Q1@_6tlP| z>=U$UKFdFr%;Lfinpq4%%5cF)%Pd}sD{#)t;!Y`Malu(;aqg$g;{RA?vFAFE7tCVw zqh=OEhW$fl77LqMY#q5B;?Hk`6Z`)ePHc6Z%0MSJFASa7ccsUd}oj91H6MHUl zdkeh5H|fNlbEOj(eM0EOiI1L69D9#+V&LJ?E*(VwC5QZhb2-pOJiJcSRb zAT9vx4>=4JyG04aqF>#~u1A0F#naf(5w2XbPp%p07R=4^1~R?A%ly$SUuKt3RySX; zpV#c_H9MJsL4hDz=+H*@DFFFz?+1WpI6T?| zI-$MZ2O#+h0Ft4;_Mrfh{S)2}NFH**0LkPHHWlBK`F|P7dDn)s&oYujpE8pF1ta-B zFp?*v7|AzW9{+sT@YNqjMsm(OGm<3xrrs>kOR; z9=4{wNWIccySoNT5Q1APUZfyX)@Q%MGQd=u{uOpBs@ki!(e+6)&v$v3K)jQ`I2(F} z{>)w;Z#Yzz9n85nlwDw&75;Enf3R0LlI;uR`7@j`LZRSifBa`LoG&^rhI3ka+}iR0i+BNP0KeJ~B_ApA#ie4_ zUmsvaNj}J(d80RQmD^qA^*;@K7QBuNM14LN=riywfH?ev`fP2S%}h8?P^6ys3#iCS zYs^mSiT}Q~6Ed}AHO^trBu!5^%gpFvMtl3hd7g|cf26M&>=_7!eWAQqC^K&Q1Hpd2 zP_~(o7s^QZ0=eNpJmkyB3`RnMNH7%jhjM(ONHiD?Ml$n5*`W|5`EJHSb&jm*Jo%2W z=@e_)=|qR#-yUR94`lYB(jyHA1mSr?Dvwpz$c9GbRDYMg-dKNcMwK@JWSf7GFZ6NZ zP!D>OL%r}*4)rI8L)|Bhf6Af$=sDD#UcNva>YDeN;?!Zvcn75`yzL#rJ_j{Q&D6zy0!f@;zdxuf89x)b9a9 zeMKIA;p2#*P5?vg|M+02y|8sZPz?2;PchW6&^|60>dZ^6R~N8z;ZR@NH&*s0hx+0V zfN*&|IDEVQ|VsOujr1w>I3Cbp8=2hm*7$V2t4Yw0E;&M6Oa173(up@JjPBo%t5K&Ix>h{Q<#g;0CQn z|4315?H{Sa+PIX>L+A1JPq4aMTp@oGi$uG}!(GFncr02S@drb}L^KQ;gdU-AcG%xF zD;Ukp=$s!6cJ_xdLeZRHX0bmGafD78Sy0}68=HH;zJG`2wuU#e{0uVU%I_0g`7r>) z+#X#Rimq%@R#P(@80}EviQnmqUFHj19`5oT6bMYfT=@W4-O)E#-QG_Mt2=t1pcI=x zdq1r1O0c?pDOPtFSN9*RZjUF&7wqEm<@x+YrWyBmy88Uxg5h3fIK%YMcq_!a!vO2a z*D2!diD(Ww+Lb2`v3;dFkZJ9Hoi0xDyZmL>`TP^iP#p_IzHT%5-j(~E^A6nay{hYb zL4POz!T$az(BB;}RI9B;-(~mx6ZE@gVj>ZH6)V%Xum?W};P=<4PkcVh1n|2sYY8Bw z+gVlC57=*Z(NKIxv=W%F3(m%$qRV3FYeL z3cvGHQ22)k3ZDSZ^nW%e{8E6zOIpbOyda?PD*y@y0{tC9;fW6d6h7esfWj~OuL6Zz zPiOIeOA60Pk;0=xqTMfzCMJe+Q>5_j{~e_8~5ITp?tX;)CRF zx(;;8{=a9Q$ho1!d*4M?(@QM-O`3Sc2SgKxJ@qa$aWoHIaGH3p|7x0e{|iA9AN&@I zc(m`Q6!G^&5wCck6!D(tPZ2LXM~XO-k|3j6kN%ngqHKc1TLA2{)UCE(vpf(=j{cg( zSc%nf59=C|{mh(lU+*$AoEwN|1+w0l4;uU5_QNW**708K2diaBR-e^HAoa^@$nxQWKP<|{nEF3F{j~(N( z`SuNL;Cy~#8lPks)Aq0pO!8Kiw*XPPw*b?VZxGY3q{YkuUT4W?sB$7$?cXKs?-2DP zj92;Bu>pMQ{REEf+nMTf#Eb*tO|ZJtP*GGApeIoVIn@1K!SW80>l}3kasblzoIANJ z&X+PBMFz+Q8`A2%pM_Z18onPK;0{-LgA>i{>OeNIvElj5hZ3oCA+=v1Q2X`&L~0M6 z8>#)Rp!O^6x)@w|Gz7fyFZG15hQG{yZS^?7rmR_XfEBPcn}5q9Ol5Qo-tG>?t)mB7 zMzYu)in*gX?pVSd@9z%hyED4DL*3kws5=;T2ZHWk%pJ~h`_DH12ka-qcqZn~$VJ1y z+aGqDxS8%CejYy-az}D;=iJfp$qUDhKOb~Fvpk1b_BpWQhx~`K<2$9;@i)Jn9p9}y z*dxV`&o7G(`8zuvt;`n|AD;w2{sY3tC(Z>Q?*%`eJo;Pd@z$;~z+L~qLgT;^UiK+I z-p0r0=A%;){ffF1OX|6RNk>s<_lH@No{ny&7?1w;-F9b-w z^gV;*BOfb}eB@j~@?G8=NIralK=MZn6bPqq@^7KZzZE4v@ogyi9h?vNu5F$?&fXa- zAN?3&<-@?r`z|zA-h6kgeDV#fd?1CD_q`KVzPQlUkzY%W^mG_IR0YF8p--1ra^4#_ z^B%aX^SnuuM>-NwDwV+^0`G3wA&L;{&@N@xEa9{&Rxe7rqDB{krpm-S<0R*gZ6aHW+PId;|}$P1eJb z4v4kf(wfG)w-C+QTOM#cE}Yj~ferLE!X_YobwHl47p-EWXc0R^o7g1U#b&WZY!%zYcCkyG5j(|hv8U*WU7B3osf+-0=OO>(o`D!0gOa<{Qv?vOj>9%G-eOYW9? z+9|D8)u=jEuNu@WHCxS5hYU!x&Q+G0r{=2#YN1-BmZ-&Q zscKfs)iSk0tyHVjYPCkKRqNDxwLu**HY>+Q)uLKeo7$w>)fTl?ZByITPPI$zR(zk@ zuMVh#>Zm%T4yz-oNk68Js}m}DTD_)Ds#B^?uhGw_T79Xqxv!ZxPC%^EmJ?KpVm+5XY?AQ)@U^9jC!NN zm}AT`W*be$T^H0b6f6G{RI6~wIpxLL9-EZyf zNLd}{@{F)FZl}8)&Q)xr)zL*=E`Eu;-lHrdl9Jla$y-IaO`od+UHC*i z-y_wR$jl%;T{;64L61?Eb-RlOd}bB%M;>CK&JVFb?zD`uqqInGVUgE~_ORtBJgj z!HCmuUF@d(o`ze=G_<@Jyg@d|D|SWrzw93)smw?N_mh9+pzr{24r>~tJP+V%x#yAY!U8y`4AkR=Qx|P zlHWrPr>9n1qh4b4fS?`B!w*v*iVaxG4zLjo(mqc6$;I*j%O%=P4Q!8W5|I|%*-EY0 zd0ORGYLHtM?j=(Xb5c>NxNE+qDvmOKN|&vO0Io@WJ$r9~vA{SecwhP}@fKPQalj`f zY*54Gd}igCg!(R{`~_kQjon6@jRrAgt!!mm_&i+dr^2a1e{*q~9*vutDJ})@B zp4u?_PSZRHz|nFWC@r`Pl+L)BKY+;TkS-NOOIkiR97PU8hJ9pMgS^;?@A7(|VS&Ix z=JjqyP*)Zhv&2@mOd5Q>W;iCgJcS--WL$oJWo|5{g7L8+!fO2ygJUqyrQ$h!A1m0dFObVb z{QDXYhh;>@B7&M}K5t`lXo{M$TIKdjg&D^xGtV#!hUR*d;x0$Tm}3X9i6-6c;;!Dw z{mkPz$-JJ;w4U~hJurR}IBjUfbKHUvP`ZQ_FJwH5dFU^_2;LyhW&EZ=fD_8ZfEfQi z`F#h_RJ8%aDZ+14ZM2?OH{&wYNWN3#=9Sd4Nl!4!E$%;Q!U*YX61!kx%@M&Zl){!a z@wO_R!-4m2h$PRbV+%xT6em3GdLlPR7O0t9 zR6)McuIF!6i$%N}??!FVX4%D>aRuafT1k7f7FLzBnwiIF3oBob#qEf8MBj$@Kc$te zlXqac2n@%?as$lK4g6&(25&Z0J-e0HX#GJ-~W5 z=&ZMNmL=A)c5A+$qN#a}o<#9*-8%lUp)0Uy#1!*gDilKjM2*AXH*{ zJ9r^N*QpQuIG!Kw3k~2SA;gpVl`(bfQZm{pIP5YpaL{IUhTXlD4R&53%gtjdr=IO# z6|RmngpR37UHgm}F|7I;ajjUv{B~5ljyYXpO7`$PJQy?hVN3@{jvI=jcO-em9kV%) zj5&dYYMpGR6YLP*Opzvey*R;C2{7`|q~Wn$w33@+4>Bxvw@v>nji(v;`_(R3{0-P^ z=IdiX#>U%Brw#lJTR=Aw-FOgMR{L=Mm#Tze&zY0_6-GrE?F4D_S~fLyCEv=OsML?!?N1gW-k;6HV`@L6Y*N$E-ZU>g+|97hQ#h-lO{e(hl;hf{Wx#w6U4Dsj}s$hT1>_=kg|l z*RWd1#1pU69QF~^F+N9p8Nb`8>KLWZ_zHuI$4k#JwSrcwIZVxBvsoi+V*iivuQR(= zPqrjjxZG_f6s#9FH@w;Khw6pdUh{f ztZ~n9ENgvmv|tz0w>kBs%HBU?xP%Y9@gv+QX~V+=qFuxrFzqk`xV`&r(U!1#IpNl< z<8ndvzKtSNla6uRDW}d+)lVduF!&}m?Q*(|l8)dYzKQrUm?bNi4<6yOZ){hK0L~oyl}25><}=H7qZgP9v0&JL9udz8b+og;@ue zVmEm`PGejjYGG40@LY{1hiH_e{|yIFA{%!mx6>|T=0&NQ$-_(8#Bl}ov>e^U_;d`E z2e|27!*ioS!s^0qjrYS6;~yWmE?A9 zHrPs@yM}^KGpag5gZ9(lH;7N$<#lxTLThYl zq)>o{)WY>v9~6%y8`W;M2cM-?)qbov-Kn0piUSCdA7Y0Yf(tQT@GD!ZEsjS=SqeC` zonMcAd+IE1Vc}Psc)6fmNWjLINWPN2sPSX$7<&**ZS9v#r0nC=mzjkdSSD8FN*Er? z*|;^tYuVRC63C!+;(C!7aASoWZA{l_>crezC~pailFIoF_xf7dEQ%NVTbO?}8fx;UCPa`q2?)I%fg6X>SS-bNtEGbdc`kat(!JFLJtZ1)FUwkd=nL zU5=TjA7c~SnVLSA6%RZ{3$%kYxsF#ZW~b;B+sK-@5Uy+Rc9t>+w3Ykc$7nqa?39gI zT8=kZOZ8Mo4OF@v%U3$G&x?^#&dkKF_C1(a_<`BfNE@lij*0c<{pZ3ep0R-GSS57Cwu(rh#%tMqBZ4$`hwX$Z~#OuWm zG{UVF3*&@{BfO5eUX#n1!AtlW>;)Dd+hRjitk*KB68-n(af+k7U`(7IR^5Z)?*2d* z>(6oOimls`Q_A_Mfg@#Z@4qmguXHb?dH7sFUl&yB`X!^yd>yN*XSs!Isl0*lVsoeo zm!SoFr6X9z5tD9atyHy)jdCoaE9ntokB7xHAI^v}mQpj!c&gWy(QIuyKcwZOe8Cd? z71YCtx+&|TWz5pYlep&S}IntG= z;p0r+o41n3yPlHsD6*DMUM_z`d>2O9P84;vQv3;`P1KH0zJ<_Nu#L83FWpJIaAx_N z0a1AXlj1NUqPsQotwGThY%|+}RT*p3F*`o`AfvgghS%~sn4b-N7N5=M@J9X+r^sAx z)jBZHn|Ndef0FZ6{3#Cm_P3nuVCpsWL(YH1X(MlWOF;DnPFp!9;n|StF=_silO0xl z!GMeg?YHaj4)UKFw33}vXTz&68vOU1j$vO6PCbt4W^V)YXgRep#3t3>I9)~bRoIvO zZ#u2Rk~S=;uCxaSsvzd!itJ=|O!hQQOXmxjfy6%ZD)d<_H}&+5L%K63$p1%uWjN-BFJQ9ZXMPHuiAI?Xl1A>e)g59UT%cU~#M-9XJVJC_upR%G+zZ&KMX-67unp2t!*>|#WF4PTFl@ktm}{E< z5v-^k`DBab_UE%$gD}0{vDrU%K)jA362o~6pEifxOe-*zLRiJO!~C1^lps4;el`B$ zN&11H>nU7aG{w(jf)WV;?t|tCg9mRbui_z`nekXq3tdJ*Jn}GFl9uCQw7^2xW?+7x zB8XsmK+=8*vSbpHB+GLtAv;jd#=-vy|AEn3zEQM@D|j#1GCCjZk*;NQgW!crnX;{^*O^1Z zJAa-Bqt7tm^2pyZY{gO&Pa*GicAM!${o`$j9K25Ad2G=?5yHzWI6@BhNS9sUbBs+r zJ6O2A_z-z{9pwzT$tMuz8vO+M!)Fr*ZK4$`ft^0+K(MHPhZ*Afy->dpv>Pt$Wi+EF z#e47`l*{{Yhgm9X$g!N|^I^H3{FUSj{2D&cVX-%f^URNua}Ua04~qi=VH!dA6a7}u z@35795h1fpEYHv5muLnzbBlr|4@1mTU|B1|Mz@5U{=xC1%mmOEr=$L4ga08xH^tynb^=&S&CH+;{sS?>nJ9wS^f%b-zT@vmeU%_F1Q(pc! zV+$M5ERJE#tfz@;A~GR}@hsB09lj{}U-IYn?j0|R#Ns6j*cZ9cgdN`PuE0Va9|U{I zA)QV$Km%m1ph$pFbyj8#=t7;wJO?m zpY~;m`M5#&NWm_0I=6_OT(%>|HCw`FY``Yg`zw;qlC$L;*=YT^3zoD$GrH0`+=Y54 z8!6IhISY4MtZzZY;G|y1e`l|_6K231OEfaR2!>iakJnPd7}=W-RWTe`&PYDcQ?9y@ zEuB;hlY~15D5GTL-4!ke&$mNTKfnPrNzUg=OCHkZ(mu9;&4=~3j`qnG-L|q|KcB#5 zN}d&P#x>YU__AIUA7NJz#O`p#5yv}(UFiUAq1j@Ce9RuOw#^c6rU8y&$WG%A4C+eu zsje7YgTUfoK5Sx=J8m>4`~v>wd|A;S@=xWk9XQYDS5UlABD&x)e7stjy?LqWNK8)l zqM+f&jxY_L3A|T>k96e4Hz8256H8Sy{tapsMOdDWYG?Ri!!nTAkqc!NUNR3c2z*q; zZlFQ^D@#(_;K*$(#vO=U)v^4^?RXQ9k;jcCdk=G9-?(iFO-i0-2tcw5)47_BGcM<1TQlaeC&={hFlO9! zJdq0IYNC(zhpv>3I#9EK%95=toQQ@xJ-|X;pJjpYX}VIZ$X!e&RwAm5zgf?2G@Ox0I5HaHj|w?8R%r$&jww-mMlD>U zX6#Wd6lq}H;b>!G4+PO-pEwMwIO&|Sfh}ZFUN&--EG<#3un^Xf6Wfc$SErmd)E6Ld z%bh=v_SQ3aE{iwPsQd!8h}|?%jYE7MG29MZ$0SatIeaYV<<;XMfG%&hC%g(iD8liT z`aztHMeG3onh?Qxw2&bP*2H-?1Sg(m>M`r8ZWKvA%)|y9)`J)YII@(-fHAjKz)r;f z4>N9mcRK7s8HA+n=yf=iw0arAhI+4ktz-dNE@MJ50Yc;Hw^GuQ8YeTaY;ZiKHgs zd0ry)VV>q2;1z8~4wmyR5*8jJ1xx7(PVr@ixd02&3e1T;2&p$3|0kC8qU66a_)hke zf^km|aenqIZ2L(sN&1DP18T0Onn{(9QwE~mvLZK!^NCxStY;SYxPB*TJ{7ewSmUqp zJqF&}%$%76ovtF!i~+%Qtc^J4Uw_ncR3tiJZ77L!1lc6a9astk#w?bx5LrJfr2NuN z%pY8hZSN<{7ly5d+t?GV78|8bdks5U4XY8Z2(BBcCzzbMO2QiD7h65LQz+TrOB}-V zJ>Vrd%0{kZ{^>hdMh;9#fw3Ny$+Mq&S`bd^Hnx<#d2conw)UsJgwv6x zHV^autNE`L|DL3EVvSsxN>;p#@hDgGCy7=OyurkE2&hhQ&W3Uyuh>X456Yu-+g6%~ z%+Wlxg$~Jf_}r%uz~5%TKCZeXxRUvERUrbYwh^DY83uP_gmpj&EsvW;xxJD4fbH-y z?8fJq&wPLa{{CfO;yEac=M~oe9#neC2J)KgSVnHO$NP$;!;&8|ZXtWaI!c&^_3Wn7 zfr&X{wy{V*Ay0C<&>>&&>(p@3QMg9kDaKpZ71P-39;1wI1LHk!4kTWMwN8`P@c5nf znx0cw&(xUpY-lr0o3@s15X;zf&*;Y)AttyFK2W8xTD5Cl(FN}sg{4?Vh_a1RB+iJ! z96uDaJUywj^DkMX^L>cLUlxqb!OnkBeVNmwN#7vqAP{B0oO0DOjB2ef^u$V6$3u}- z#zy8m4%c)6Ley;(kMra5&yxOvNs7;HViw=6j_GrRbER=oZZrNO$=(9|`Hzoru;&<@UE(D$TA$G-)OWhpcZ16)_JYA zUuJW}ExyetHtOeAtOUWk=O~g}N1<$-B~)8z`CIhx5?0OSv`c9t3ullc2mxX~kcaaN zTt~Ri^E9Vxkatx^k4&u@_||55dq`f#9~9FOrpArM#XJe8kTgHy6vv zx3wUa#*>vr*Hca>?1({QoO86Zs2g#AB18d1YzqpGvJrAzZ^dt#i7AT_D4nZ_f0>Js zIDiK=noUib>mD^n&O~vZM#)l3JH`ebK$LFKe%?q8A<@oP$>r<^M9(Sm6qx1Z&T1n+ zveMcBqsH71k8}~%*hMI@fz+KH-?k3*qM~%2dUIzwB~;ML?oGp!SDWT2kGH?uJ=tp_ z4>@D0W*`3DZn~PFay`(VR<2(`McN>Kckgk(;Q>D)OfO^0LJUlP|H%uD4~DULWaN5i3mX z+h-TNU93UAWou7u@pHLru7O)m@>~Z?B1$>qO0aNT3Mc4N8vIMr5YMjSurh3`IUGag zU_0+g$gp3@|D@sGoyhB-{rWA2sQu^h8cBh(6L{l=T)p0WCGjxKYx{NnKV9Df7*%z3 zJ$s*XUztqiotepG9!Urxgb-rD7$7_h;VEws5fJb}L{vmXM8qK=Mnpu6cuN%(F(O5z zm{LSUrGQG20wP6fsUo6MjEGbzRX_iACTMNH?@w;#c{6kGx##S&_u6Z(vzQ~%^|1Hq z-|$b^9@XU$6`R0w!52sjb-ehBA^%3Iok`))by^lzbZcOD?_~hodcx6QE(XA56m}cN z{}4g1B1`>7=NHf?KparZtKGmh5}No>BzG2y^Axn@NwdXTDEv0(Ah93^F$bgCkJO%1 zQ@m3!;nkd=R|QX$K8f6)*h9@a5^|gMW7-P9L9ueM;`F5m|3m^-+?u%+zK(%#8~avO z{YCoS+jzb4nh>e8+}j=d5NDzMa_tqJU)6arJ`g`IsQMasX?4SA$VFXWE{~7rdh`CiBG_8ZsZnYDUUfxV$>!UYw5J?&mZY% zp?+Del)Nss%uJ_QiiDj=iy*-Q=mi7r3WE1PvS7d|B5yne#` zcO5z0`y`HPxtO_+<{s2WAJiMDAcUz(3||7v1FWFJ2k$oO@&f%YM}?yL>w{9)C1AO zPIl$!n6nfLox{`Xt6rxZF>N)?4(*U7YjOR~kx~6Nb1K$vBVP$$`5JyojCWeAfI@F! z=Tb8Vv#XxYrQo`ATqJR=S!AN)%PU#jWIxuGi&B52c-#9qx6LuBelh&KZG>r@AxrCu zgMjOgOp>N~tv>2ex2y0$bC!~pYg{G9yK^x|0aT5g=1^=aoQIy8=0t_YlLo)STyxlP zd!K-k?|*$zt&#qeMXVhpcP_$zB+dQ4H-Ynw|Ax=#N8mMV#GpQ_Bcu0{!L7I7=-=w% zNsF;9$F%kxqTTbVsO&R_KTJ=vh#~NVJM~+F%rGwodT6lrZvtXHphbTJJSg#v=7Z05 z4NhYhRsclf@t-j)z`9w1+$nx`!x>0t?Y}j-K_(hx;Rz(t7SSf@s#;51v<+}`-V(86 zbchPJ&{{dPn^3&Q@c>Kfach(J|pV!AHb*JZd$=g)8j0oU4&$3RTz4-bPy_ zmPY=OYfjM~ZPGdOAg`sKXLyg;DUjjYNS|Ab^Ro`4_w1!m%sZhQjuxFmh`iWBa!;)d z&Rs^c76Dk<3o7ekbeGdK3Rv~bVA&FK$F`9GVF2b{^cyrrR5sb$L0UL2@Hqr*fXP+Sm`alCG>7eZP8`TC=-_hmEhMKw8k`_nLvDf$D{46M=NKPO@ zg6nBT?7#H@6Xqtr|0+Km>p*sYzaKD_A|h4}t*Y1}^A=M1V9_t{HA5d;w-urKpk-vi z=~J16rLx8n=j5OV&H`;8!)pLat}@3O z(~-VgEs#k(^+Pp&(RlpvdWi@aT zMH{@-hv$pzkWy<#pE?fE2`b z`i-fi7V1IH*_Z--9R41hgRhup`*@4_ipkr|N<_D|4x-f|M6cTGCY+li0x{p0>>p2j3&lD@E+3<$I zFEl4ZPTgM@tgH(oNbV(OiK^qs2^YYX3uGhvgdFg0@xIBW_{Nnok;RHWUoFaal87U1 zS)jRRjqD;4rvzs826@WZ%P0ij2TIdnG{GuzBZw(Qj;jJ7LP``gVif$hqbhQzZgJS54JFZ3@zpdwXMwW z4i?!{YLU)c1o)>}+aWfXmiG~hAGHMf?g4&Ang!qJ&$5~KYfE2g6%^DI7Izu#oD_>{ z?)B^zW1kfs_iF8X9B8*|j0H&RM+<^oxh~?2iW(7_S{WTa{2}4X4$atMj8+N-tE^+% zIrAfpfu{9DKmkk>1vkwp`IXcPo0NCeWUaB*TI;O63T8Y-O+26;Za%9su@;N(v=8Mb z10xUkawEN_+7O}hTUO!_xRi4<_GQ#jy zVxlXfB_C5v$GZ?6~Bcq zJ&($j+DZU>h$V&zv<2de0~GU%fY1g+!NprgrN072>;DM-f`uyfi*6HD@OwVPP{st^ zfwxPAE(CM=6C;IW0y0vI(Vun$l?1svjkW&;PMK_mRcM3hU=c5*$3^)8J`U&N2zEIl zmg^g=ahSSSNW))NT`=G}z$K!j9Y;!C)nX|P*ha_6y$II5RPm5RfhICVO-WQ}wcheD z8)6W0X>bU$*dEiLgXQbU>sx~kUtYSB+`*c4)PPC64kN_Eg^OspQj9i=3ln8-TxTyF z(3t&Xe{PrBL>}K9ulITU=WbzBNi(^fkDKd(vo8UN)&L&etZzhdVmRE$V6hmf1+6a2 zXcyyLUnkI+wQk@(x=%=BbQ308qZ4n?o+Yp%5|eg8vVx16txeW3RC0A$%-+Z4S`NTr zl3;4L=9G2Kt{uRBaSvZ_j~jrj&G!^7y)Ba8ga&HTcIZtg9+)h$C2ZwVuKW2B;_1y+ zfJbHU!-5B2!f|%rqjgp|Xgl<-s%HQ-02w?Xa&kNHNb4|-au1D z(BcJL@0x||t?eY-+5*}tw)UdaFu*#`!`ncuagsa08Q+>73tO!wZ58~e*RAc=4yy&f zUswX0dgK5UAS{{Xwnq=-c5d*Vb)VB^7*<@EdY1jrK&fjJGHvc$G#v^Qe&hrCe%(BP;;{x?#6Pn*%C`v^dHpG{AU@O_>L7&OPLdy_ zr7s8Z3s{o&@yqy<#_95o&4UMX8%}xSZ<9aS-;*5eOV&a2!WXZJCHv+kF7YO6{E4eQ z$*aA|&bSRF?xk>YSR~OWFaNLz3V4_1#5`#1` zIXBU+wS+{Sjl+!YU%`lw`-M@Al&20Q`6Cuz=a=zG%Igcj3L z3NX6hm8=RhMsQ{AfL951MOC) z{_0kn9@N>??WGYJNdrXDRNYPZ2k$~_vvEL20xa>2$?r-8m6LguoXo%1!IqeG7k?{J zDY_JOf8KWqVU)K)8Q7(Cfc5~1US)chE9RH?pj>Jm;L43Ci*6BKe9{5k;~D-YaW8rO z^><+H^L~BhYZUkJa?Qi{TKK@FDf6K8dQq=>im`u-g_|ZV3D^8}!U>f&X{WdpiOAE~ z3Ahcm(k7HQZor7#shNM~j7{8Cz9i65;y^tx2tJYkFqt=ltFRJ4*GfWZzfda$n!3Cc zZwNh8BI8_z3kPd*Ior>T;1N`6pC7^P?HNuQ42N^OlNM;%n#8#Nek8hSF#fKH$F46( z!Z(ZUq;~P)`SB0PllLm;#x5_2{f0W^uB4vv_1r#wPv^u&QI=T3!T4px@wZT%w4Sz^ z$dvwwZ#Ts&EW_xMFk>bU5ttVdJ2(_Sp!(*>0xdQ)N6Hd~|44risi}DsokOOaGTR6C zUZ{da9f-wPu``ErT(fSJhbb4_dbwIvP5q5jno>VRPe^c<(oX>wB9y3@dDvJ(hm9Z1 zH%LB5C?#Gg0I9T+ zerv>HJudGxMEK4v})CItbg zj^X{$K-WOeAG8&D?h$Su{^5@-o+0y5i@m?s#J`03B%FVQ7_HAVxCt*yF_F(`-lgUS z>!AFRCW1`$x?D>if*^KQt`bIrw#GE}>)H4oMBI_Z`jvkY=ua3MqYkl#4TUWFccM{y z&_Zm|`l}Gs5$R`lpkhY-ysyk}oT=wV@Io52Aq-~9VeK1wj8&enS;PHt`}-@nvj;1Q zXX**KOPVtxM98#zjpnOUy(72Wn0rxeuM&J#Z9tOqiPTYvD zdM+rv;Avw5G!L`KnsftR*195pnYGk>$Yg8>U`xOT(w?#Se{U1PEo;)!-+e$w+hQ2w z37EF~btHQBnRoD?HSDsSj;J%o*3{U^bA|okl^iFmdweAif*{wxF??xCltz1%$E%97 zujrXm(Kj~XikuOB<1ohiV03 zc64yhO@IoQVF!mfX9L=00p<}*AS;j{^v;0sycjinsuO*ud5neD;{qmZJ&eu`9uzKq zhckiKwbr-`XMM_=$S)!fwG@_WBJYx;M<0}LT8vFS!>3K;=M8kxVZ2isFAxlz{G$MK z;=i~3dge!}l|^B+Vj+t$&x_o?2lSKlxz>iCHer=u{c#q;y8#Y?CvcE51n9!( z{IH)qGGJLgIbCj(^dH0g^@s6?Fm7ejBZ^&o{Q|$LF$4z<)iWZXT0=%Htigm8I9bU8-0Sp@hQ2H zi{sG=@!ZQ}p}b^HQ83omA0Hmgd6=_f)w#K~vG})?AMP6ow+|<#WaswJ3tke+?&Hh7 zr%kMXUe4tOVuKZY-u6PlE%gn}zK{5RP#*#6eJeOaW~y<|+I-`|h;=U4IIQPYdvfBDK2)_*(&(sMs)XL!26qh`~%8|ep3h9~Sz6S*MuXOVmH z4u$rt16%@~h@F~TYnG}q*sbVMIU0S{f($T|-xr?R*M zc%=;d$Ro5Q#9nm%A40kw!x~d*rZh%AgTlmJ=1xt=rab5d+GU=VOEuBiLfHbKD6v95 zCqa6LvA7CPoh??+hk_j)|U4~>bsS4mxz6bdf&B( zKHF#)KI|Y`8x7b1D5$jrxW!s)hH$ETt-MKVX+mkgGE@V*+n%Di?pGyd+ZD?4r)Pkr z@V0n7eFh#`7T;*@Cpq6jI(QfX`PKh@7uRfmHQe~;fu2$pxAs=3?Ub~O?L?fuCPY0dg} zo@5V*(fgBa{fV|6ato5VZGy>8o+PyF3w#Oa)aM72ZJ}8Y@%l&-JGTiW3L=SiImsel zBHtTt8&9?iB|9V>o(Z$vdr>PH+=lF*Lz_L-#>I|J*-K5bg}@jiRp2~2@q1;BCj@X2 zJN;DYj95Slhn{JzLMfH=+OjP3pCo)zOvshLV$FqjL~-pNu3m^ZF}&eqcM5aMlBXAGuzl z4vObE+5s&GH&L^HHH8PD1zYkcL8k4>$DOoG^XUfi*h_BY8&f%n?91Yjc0PZ08(%@& z?7a4Y>~=Y^Sg5cdI}Zy}UKWUzWXG@sWyfHoLm*HPiX1Zt3q^WB%2Un&s-(vcAPit% zR)chCfsApmqxTa?qi<_W{tu{y$S2UHREf4jWNY)KIEF@Yh~?<&v@6B*5phW~A2O*n zl!?Ocyn_F$@Owr?6@HIDL!Q7qiJ1C4@DtQ{L(NZ>dF!G9nwb(4bdJ=*02mw^{PC>k zS({#4@h!`(q=9iTX?kn}P_LytbJ|LLK=1(IffSa0=&}M=bdC6&lo==#y@hvDXw2Y3 zICfeEs=Q{;0`bA`F!zwE7hfw*kg5;gM6(AkfaNiq-bt|4j3R3*h(ajl57n4&v3?qT z4wTK-9ft#~ehDZN8VKfH7!j|53Fo1ku(X8JvW$=ukrgDXK(#>94g7DMk!4wKd)H0e zgF?1`Gnc0_y86SF{=(tGwiSV#%ItWV&wq{A*Usy|Hkh*(nTzf$1|-VYlTosoayS;O zboz6JxVgLw5LSPlHTN8Z6dWQCXQnFIM=FQ6Ah;cluOHmyw{Y;TJ)rRlqp)}4Ne+g7 zDqn}s^12!4wHZi$4Bx=@)=g}`SV%>#Xa;M=I3uKIM4tW6n|Vk|^!LSal(+gLU4x11 zz22*Qfd#<+V6HG?>QUBbH9`I7IJM!TvYGxVx4|VTEI-29=($IEH%)1#llrwl#dV-^ zs0+fCao3Hh2Gkk4*1v$toz<7iKB5=j#P12O?+EBzs&0O{i9=nFI2Zg6r2k}FuoVck z^wU9aAAjC}Icu?SttNAD^dI08our=rqcq0v>^;qSBltF`xa+oo4#WS%C@VpV%!Dgj`t;*Y`|oGxZ8pl|Sd zCxe~ghgNq$4sOs+*-y2jJb67F0Q=;v9M_H`$FsNbp}fctH=?_!QNEdy4-f-jK(O+knTL?eY3Oo`A;__IUi> zK#s?=5i#=5+5zWLM$?SAPs8}wsbykrwNO1WSk2^$v3y~c#hVMDGWCmjR84*GBg7`t zyUX;ikoEHC308AR!-&|qw{ry;^B{I%rBtwf(IeAk{=mSycc4pA0a)LG`lj>>U!>9> z>l$cV6AZQuw{PzY_wjm%1)~*#>?;G2Z8AYS$kq>w+L$r7%D8EsJMlEoL5^pKg46h>0_ za^lYCI3LjY?L2%9EthG%gl)3L`oUPO0a|NSP4Mq0D@X7cnAA}W1wZ>-iWGFL zhP@8*xUQ|z*Rj8BH95Z^o>8$0q}b@&miSqT;X8pU2NQw}+f7PqGHfvpK$KxKl^o^4 zB?BBHQrez}wuK_Gup-XNNSy%mAuB_XP&8DaIV%bagqZ58s&JM;c41P&`m8TN%MIiW z{p^B$NB`Hu|Le6Txkhs!LBQ;G+NbW|4iPY=krKfRcq!&Jg0P*%D4a5~>`t?IW`0Jo zFE8%RZtshY3&eT{aw`MT>jL3we|Ar=uU{az34v@;+fu6?K)(#0sOk0(vv^vnTkZoW z{*Dd3B7VyPN;dGA*ljcZD8Rv)E|yxs@e9*~b2rc4icAKqIGl6bcFedPTu?PCS@hPm zYSdLmQ8I|mPH(dH0lZoDI__FGHT;hm>KBu^ zUI^daCo55h#N0WAnYi)&B2VzwGCHsxtcE6ej1~hV`q7AHgJ#n%n;x4-4UL_Odo_Mk zyxY#~Oyg4bo3Q1Z`5av$zm)<9gDmi*vIB_Sy9jX|FGJwEkC2-RE<@hgUBUdK%#PFB z!dZ)$!G@@i9|VzZ$b>t%s&+E=nd+L=`xwAf@EC~m4(h`vq4uSjRzbm~NpqDuQQ#(= znt{(1NE5~3SC>08I70`A#n9Zfaq&x$kH%#s?P!i2??Q<|W?xU>u0Ual&)3JFvmD@O zjmLkM=z{FWb0|ullUDxNjYxkt4_$*J+RcNG(*jxGK;yN^=i9SQgY^+&vc0qm6_z|A z65FXoo<>0=f;AMW{{uLf8d|7UI3`p*DBK_?nj)jS{b3i11pLkgM!)hQ6S2;@ z<^!d3__3j4X2c;1(8pRuOpe2s^<=acKC?4FYxnF*;nW*4UYG7w@N*v3{D|qhAo9Wq zNYk~Im6nC(ENP>ifa5#DQ+$Jw!QY{e4)H7}r+P5VWm`BicIn;+NG>!TVyNzI#7kFr zm!Y6Vrx!`jW(k0GYV0ctdy+dBbA1b{SZ)^stE=A8p+F__CDy@}; zplCyB#e135s!@M#iZTyZYf~Dfe~SMT8OU*nan@npAskt$@u``jO2ZEl*0-7W>joPw z^aY8hs;954bad!=%myf}d=~?Uo{=@JM-C8|Ghn5anNp*v& zbuOybX8*|3TIi4ol(eP@B|47?4ciOp4OJX8d#H%w`({LsAtMbRVKIFM&WM(0ZIOQ` zMkJtmemdg0s`ULcrp+VOM~~=+pEDu={>Lki!T_1ULo)99X)E{CBlmKpO{6B?Tw! z0j9GVF?*8+Mj~h#%5aF84rn)=7c?v75O)|W#X>=miF{03L|q)>PVc`Mw#My2Q}kR+ zXJxD4jYAxwAN8I~Bxe2=LV92WTJRgV!b$|^5RUau<20QWS_4(AQH&2k1ZkZ0TC+)@ z5^G~2j#IiGp_wfl=xq7GKx{F5s?P3(9P53aa2ZcB6hB8oDFHbaP84-fUhvqSek)JY zVxv}o$WgSEiXUfRP7^?1WXWr`AQKoFP-n&2Z`6cJP!Wr%URZhVu`@>lMZ6Zq+Lt_q zOMTcv9>V_WJ`^65jw-MN4M-gGd{EuAv@l)2wGAhn$XH);)P6Vpt~O$KbgLp)SQu8$by6DsAh z3N7;hfu)ggj7=8m>4W6@00#F_a(<9z5Nr0vS_-7nO1TbDKu37a(qQ%Aa?dt?!^9^( zLB^dX!d#54alPP^!`eo+TVX2!Eap~WLY^%I)Tu8LU5sEj$ zpelVN{}?w|AH`0@p0)J|)#oN=9L4N)mg+IJAHa#-rL{Agp=|=(=?PpEb2GS0Sm%+< zO}x{7u`gX4j0h;k>zO`NsUxwctppCscDsI5h}`^;esn9)nb-T#gp@ZK9-5Q5vwgfr z+vqKqMB8@Ey|i8K?6TZpJ)^z5Ms`tNPWwv|V>;)~`QJ)Ry^vQ{$)VN%ONvQcB>q#1 zsm6JjFNiTsN5H7fm>%3^Islzs3olgM2APDP{ZQ4;a5bQrC7u`2uKQ4(@GS8Xa~@J~ z6h?YSrRnj6)|yqYSI?7lZo44f^dLru=F$ciLc+-*o~MAt#%{XZ{&E>-=lo8@`aQ3b zpMYdxQ*qr?==r)Ce90~!064p^d6`0n=R>4or(!$5MBGk?GkP3YPz#-u(~i(~aLj=T zorZ=Ktn3oeg3<6>0t--C)A6ibEHd;<0Rf;U;Wq*qq2NjgONoR70c2Vjs*m_d8S1b= zYyuM}3@ry5QGRz`W+$Kka2}jJqjiP$+mCQ!sGRN#&1Zl1k6_`rhA!hp|&u0A#)ys#0yx z(IG3f3(`cbvQjj=nQJqUh#3m9{YkR5!RK{{v)T=*sZ4Iwnqp{8RXqx6#?>4wSV8{4 zK#!+%v2b0xP@@xY>W%|kHo*D;^h@It#~>I)b<1gRHOzq+T&AijT7T-1kw-y@w|2JM z+Qq|11`AhU@@T+>xKVSM%Cr;+rA&1-@CT0$D8BX+b-6+E{07-%tuS!Fz)Z9aAv!G; ziK=}f?;N*0wwwpqmo4Wa(jKX)PbJ;%jvimq>&2E2K)?%#z!UX&Dm=bRy}phfPq}*R zE%$ioPt1h)@*AdO=23R8rBW0k_(5cAMQwjb?3O<|Ybs`UeGaCwe@q?fY%ctx2nK4K)oZ zr&aV80z5ZVmd*@mE2+zbt382-$lrE5`$C_x_>9vxZ>a3QN@=fwBO=wa#w%;vS7zb5 zq8n+!L}{jk`>fQvOg~^B9#hfgzxBJW3yt(gdb~w}WaF0F+|VT=OTc2kLFs%ES_!R% zR%$$58_wwq!-zCYCh}phAuy^+o~8BeyuM*?U(^x7NdA#B!j^h{S>wRI-7-5sI#8Ng z4*ckdeP$??b-p29*FU%O9!}Oez!=Vi{dB6D-MK%A5{K4rZU*K%)USi7r#@so1*^ZI zefEPZI6UE}1JHiDhByH5K-5)qh(D8Onc0j7J``j7GpwgzG$vhb?qPrfkiqKBWNhMF0gx5B?hLov%1H z{bK_7$Id3h-u7#bq~2zEkvs(Axqdaj#_`L(gIp=2iscv?<4kCuJ*dM6Md}ic&pwdB zFh8}bp{*muy5Eg@i~|U;xA9_uae-*`Lvb3^Hl`+2z^>6~2^(j`aA>80rt}qwb>KJt zhg@1m@d44?(sCqM5F`&5MT)REM0gXGH?VucMnKIAsNf6o7b9`7z@o;y;;S1y14H=h zj7Z;m;l8}tGjJT)KMoN{!dy;yU_RR2+KH0J{q5Z;uh--80AW?qYcX6jXGNJC0&H+6 z^Af5O(E5c8+viwVa2M(dZa`@UFbsjZyB4bu?q~2RD!d@e1{zK8SzVS>38=w8Kuh8; zDqrw561GUE$N`Dzaf8jaTv1-#GnCDdh1n8}%%^3rokRSC^yic+4cwT|>^LfZQ)NK2 zwVI&6JzE3CYI>X@s}YxXhuhB+p`w4mZ<4$81uT%*pDY`x=3a1Tj|hVA_zj)m?XV{G zavx;S_nA;zw|0?e%Wy-X1cwj^RSL)XJUG?r*8y%yTkg7>5#5MGS#)<<3 zYU6h*F8`~Nifa{%L+0)V0Rg0sjHCmV;R#nK#80}V8`4$YRnIW=49*;Ss|>4pud384 z${F<>MLT~$u}jl6rLbl{m|&_XY-gvL(YiT)DK)nbA2QpwYKyP&=;dXW5? zViS48hcKb0F$C05iR(bgfh!Iri5Z`=d{%%<`yFzksBcC_>JY^aiqguNTTy4WmuipG zSz2Ndt<(~S2)Qm5gr!kO)X^O$75S`0TCxtlMM6p24K4@C^e~Nsz8zM9{6NvDtp(at z1%)0_m{SJ$=Vz&=YWy>-)on%e1e?A9mF$f|drTmg#s}n2%E(P}nZ0Ti2g2JhL6>KU z-@^iGrpQGh#@|VlbUR`1TgBP=KMJd4FZ|ehS-YR%QaeQDd!&KSyeAj+d&1?j&PPegdz2VH2nuY3 zF1nottw-n!jlPg}t@DCPUqP9_ckEXF5EW*NHARD&IUZn-vyrMV1NWQmzgn8(l-imo z!c>*;7hZ#J{zM(G$w;z0hp(jNI*orA&c#GArx_Rmv_iW%*C?V9*8gxq>UcMbkbctj zJB}BWSi_{GLbC6Z6ui& zOD1#FmKR9oWhe9e$z&jz3@4NRWI=8+&z%^%9bjbPNt#)S_*bb74mtqAuQX~BO$!e$ zv0AkU8%sv@11xEGPk<<;+l!y)hg_FO@HMfrNPfpau&A-q6*(y}SqOKrfVP)MRQSbe z>Sl5g=JlGmXyh)}hRVh^K=a+fmFuaqz5#>uS5PEEbc4IeY=wD1=|Q-=qr?uH44HV> z@UV1ciX;?wH^?CxuH}BUlpsG;eQSxR$NmkA)CVp5A0M@S2`@#*; zL|7`A8f8j}UXF|%Ia3yilR3+Yq9)*xM&kwrryrVRjkZi|#l`?gKdsrKG69U1%#p6eZ7S z2385s%F6L@j`c1V!BfrQen3ZAFF>7b0!0E9HbmuuS*UL=_$vn@4*o66lZ`#DilqE? zIK9M1>NfOo#OfihzjXYw6l%X2%ET|BqloBbP)aK(7D3B75Cs~-6;u$O8wlQE1R3rU zm$+U;a?-UOwO#;xS|+~)AK)AS_&VCilU@diK#X@8qo-9YqM#4%Po1h*MFt=cZx2ToUhuk;XbbUB*c z^F_V_iH)IS`+)jz<~n*b<*Eo>+&Q;2H#VYEtaCI{9m*{#j`f%p$?q4h85_N*L*ydZ z`&U`+6mpXZjmob9onlIQS;!$GSFQ(#L4OSrsw^A$4QSJ|M1`(H{DE~9dm!dTje|qP z_2=P`inlpq0S)0c`eHz)?J9*87xwrg&dG!(!D)Qkak|NK4zKNJ%y5aK7fBli zHv5cBHrDf){y58Q7Kq;ehK$>LY+SAHLzhP__c>b5A8YBDXVUe;pCMfnGL5VBr{qTZ z3nRc#E(eY&dbete8YG|E>R?D%Zg;T6etI&+QjkyRi}w;ip&8!60_#2pi&3v#@_}Mg zh|iVN@-gUfC#{qCn7aQVeG?A$O_EQm5CC4%JvdxAMDs|yNqnV2yWvZgH{qYYQvdli z%Nw!VKQIB|!~TKU$jBUaxy+4dl^x8<5b^`-u8Liz?t^EV#Ut!tbrdr{q9}4N;-8Jl zt1klHk|RUNdSDcx)j|>b^*SnNo9quaLMd*5KhiJU=JrV2iHQ<~V(m&2h0F0lAmlR~ zk_>h^1SlPA_L*&&xT`YM$CVa4}(0)fMPq2DXuyWOX5?iaXT52%+PR5uT) zn}>yNIDmv3Ij}5`s=Xc)+BTe<4WJc}GSYMwTyNMSfirzl7&~zHG(s?bM)iqjh2l{@ z2MhxkjJ^erf1~zmM88xY5ytDkRUi72(0(TjjJZz*+S(z0FSHBCtSDceZx-mm2awd-WF*4JB|AYg+230zX5x^ zBaA<(_xG#!-&NoLp3oL6svbHOOf3LI?B(PAWMpKiOKaW+AnF|`H{$Y&oA94svxX}> zRs2mD?^wo1>cc)(H=n4RoeUzk_N9answxIS)iz{dR9mw#5ns5QpP@_#)}BJn>@SKU z^$%VDQdo%^BM39%hX$c=S+)A-zcES?~BG&RC;_|gFW*hcoM-=VC zuU@y?Pp5?D^J7t4d&qPOb^I4O^VK|szrRWpg^Yg~-y$YO3JWpWL!(kn`A9oqeE=&~ zEbNE3at`_J4b!P2Hr*2#=nW*jfo|D}6DXK>h?6`_4l#1oc|P_kSAi4T<2Kl1r#RZ{}7Xr`&3dkiMUx_bN8jMf(2c~1j5}nGP+5kWLS&3IDCj9_;IE{wjW$thFJ2gIcxv(G0*J0>WNke`cZdC}`M!y`9FP19Y7Uoi=x&|KdV_ zc85@5(w80g1^NVYlYw|U6q^M?J$(N5K7Sj3_JHgV4i1cx#oBRdK==g9AR*MN{adFu zlaT>zRqAc*JvAE|!ceOA{ub+6UlRz8_lF^vi_O9FrO0>Quc1ioC$ZioT0Z9>k=O4d z76^|_ghvZx8(5eH*h$@|L(CSqldJd%q@GcT&E4OMkArZ3C!bPlX z5kK(Qypr-n?@6hD>-^Rfqlm9iDgFLR_&}z60i8ijcPI}KFG@W<@%>h2E(FIOxf6vG zI6y{Pi>ew224F*aA(fv+fEBE~mL61g0Y%ooW0=Ry5|-bAQ#24|NhJI*@4g!qIw+$K zv(yX5gWnjQ@QyNq7qo&KAG)b=Ilkn=a#V+x&D`eNO+SP7KT@S`%>ugc6xpCK6bObuyOF;%x5D|fj7 z+}KzCfs03)uahT#1$m({9SEU)ewHFe@fq<$n;gOufaqM6=t^rVidtSuzWJT9g?jVM~+jv6t=OQpHZ* z!MQoZFOSWIn#COx;xEx}D7O-DgQ7Y%vE5idtuS7s>@P#19sLBA*;rBsZnuW`Tsl2s znC-cX`h-DQxV(ETb$#^WS1G59gWpsV)X;=!Ox_xDc{1FhEnfzoA|S4|m)%8q{#iMr z7mECWAVr{1DgXf?iZsr-bzsLuK+aGskRdOFl2lvZ(5BCHbwE?@Dm zP!5qADE6|}t&LVE%~R5Y^)A(<@(BoS_kzlcvHO!mv_pKVM!M=|EatI(mf+!hil#B| zhyUz7#8aKfC>qsntb=fnoREn2rpfXbG@`XGN+ddZoJwbdNE`=@b(dHpih}m7Z*inc zlkn&66eu{|M889!q*9OGCDLpPbpuKcVnKX$Iv{lDt~ocqOER~y_l)e~{UY4fA^xsv z13p10gkw`jsea+C|3x|Rx^|aj?UTlNGlCtyR*}gU>2uIOS5BTT+G@@(N&g4&<>~+8 zEJT)a9?CJBUz^c`?5D~pusL}TwWr4FJ0>(v>=dfJAXBZKXb;4z*AC0=^d^Nn zqt^5a43vGOy+P&`h#ZiS#$P?5W^pN_Zs#^$X`imAusH|ep%f5)aLn37L##U*W8LnavW(hW0ffeQ-w=7dnTszg809H z>a;srJegh5Rz2>#jqD97p`~nbgA5i5Z$XzhLxkJ!Di;NF?!shJ6!RNUq{)W@h%daw z9=4YgWZ1Xv2@DPcS%gZHrOOM#|w?M2$)FwFw3UOS{!qpk&G{MyL%Zok{w zj>_2;;ElbfnTg{_qX0`;%ZMAb`!yBG!EkgQpjbKg0}6oS^pfg__k$~t4sMbNSOos# zdF70$SMmDaAzf#9(oa=5^{^)6f;u#=nmvwujsG*d4JsSP?BmfQ%hDR>-PJ$UJ$F_V zjO&WTeCnT=R2IMWs^m3&6F0Vxj2M_RVtDMb)ktz```}J8KKU3z=;c5iRv{7e3h7}8 zR-w`tddk?;bM^55e-8u#V$NX=#j=9ZLgm}!;9XGeTBIdTiah|QQGJ9{pQK~0J*>6i zH%7-qKckJ3`OoKR&oEX?sDdcoDcFPsObKBPhowjaqs9eQ^UB6ma}wU@qX>NdjLUus z@+J-!3PaonxI-At3ER$wij&frx-=;#m}#H7k49E%-LuPw2lA@3vulEpYkh&y{%}2I z=OUa2X4vQ!g98oD-e+Ch=sry{OYd{x_5Fh~#fF(Gb_71K)+~ zJXD(!@j73CP>>u7d=8KJCC#@S>8z9bI_N2h$3eMCyk)cst8bH2stLNRr21D|EG8r( z_VjnTa|V_g5;_+4mcrifE@T)C`)a`GP&=4?Ki!0~mEi|@T*_Y*=-Vzk(I!})A1uiW z#yfj`k#JRhsGw^&zr^pa4o2DsL!Beh{6Kb5Fh>c-ZjuXCkvk?RM%oB;8rZ1PW&fq) zewA-iMz1>=tXEg46d{OJEApt*ZDipt`{+>FsRXe|Km?^`L;fSxLGNVgIPg z0clnDdE}42%Dw=M_oJ%d?H)MfkBgMw3A6WswvViOa`>vXBu5~n-xlli;iHv(hF%Ce z{h~h`k)I^s?U&x;w!Lo5?lK=9)!(te96>qytdcc5t^X+2(grT@f2=|AeXCK@j8tLp z6jo$Bt|9TURwWitV+xS(kexgPsp@O=0X+--t_uqAgBvbLz)y`9-^kOwp=0b1TVjKl zdJ?j94diWNsE*A+M&Ei01^~+N)sQ=zJ=hswXR5e5gRNF&_(SAwB4rk+o-ComsFA9IxY!OHC77RVJS#8yH| zKA%f_|65DGcC>(&eD4&5K9>{LG6^kbheza%&09x^<`gCXbFBVA^U$)Kzd{93R2X$u zEVvM&!lSZM;CA>5_fsI|$cah;r3ieb4$l!&l?yW@k{=q9&lYBRqavWD&B3+L5zKQp zFZc&O2@MwGMzN1_s?TA-e9!VZ7D}Mr20{K|a2S!e6V8&}as36>ykQA%9mtIKg=hmL z9qyi)g3bzR@bAJq&%)~jev4oLCl1$1J-{Qx4I08)EWUvbdpTRT3nPwqe`KSwUzQq@ z?Zg=2MkFbaxpgIOK#fWOI)=gA`-c+7~x&BW8d9 zAeE)W08ji{U-l4>r`8vI1!f4x0s7==F?5>=_t&BAK=VLFQ%UU~<+(0QAz)V@gMyT@ zf6#pvH>XASwW?7qIQ^G2$YYG~h0VJ>SI7~vlV_NmIn3HAvfA)cgoem>IG5;kN5vH5 z9`3h>J_ylPz8S?6To4FHb3?hIXuLR_9}dSHNZbHaCy-_Dly}3gS1C4AdrAzG-T8eP zt(pv2SDSJUX_?bhguP~iSqQd6Z>z63#+$LkIRm-CXxOaPp&?INE*EHJ+dts27aH4! zLS&rKm&BqqhS&b$1MYp1oD(eTDN}y^aoVH51&9J2 z6kDj@;I8bfc?#v6MZi&GgAb?UyQ*@y4cml2r-NN~l-oMnWX6pgPbMPpus!i8l3oG3 z{wOl=<8ueBr^G|xI^{h@cV^zzey|8cW$sm(VZdW?V-+;+0C%XV?7tR3xYPQ1Umx}b z!&2?}^I`}SO*kK4C@AqRG36-mHUttv`-q&F&R)}8ACQHaH}8B(q}NOMm4STp)X7=6 zD(aHWWml#)RKrpyQ_^RAgo2ZtrIDTpX?7v=wjY8)V3YI`bAGw30^ogsr0s^_x&bsn zI0!-_eup45%Ye=-Qm+68GqS*J$&g7cFU+AQNu;jGxCB5{HVoWOiuEc*%ipdcLm|1p zF0H}sMzr`UIBIS-{`rHmiC+Lv#g%BS}2KCz* zw22DbTVWj13p$)ehWLG<&(|@Tt92cYU^ayNrq*|W+=&x3X$Qn8GH@;|76AkR>?N#M z8b4Z)-3zl~>|zJd<}eE8IZOTyaWlls3Asi)&mXHsP)3SO*RcxdKUQ)d&#P6NrTVh@rHeKLa)Hm;h&c6|WRK zpii((?vmdBlilu+?`p2UTILbB^6vu&djaxmO50!rVoME^I<~j5fTn{lPNiRiZ~9xL zIbn`3<|mc&BPJrUdtcN4WvG3zky?U+j8TS7RYryN^EwnESk5{WdTJOm@3Ggv1axiN zcpNs)S+ERBMm_%mY*Pn*EM1(3C}V;r>y9pg?DUc~a=HQC{HQ56qVY>CseNS0Ofh~iib83H=Emw?mMRKI`gJWl@H0rS z-Q8JK{ejHM_Lq-QTP&>|tw;8M6{_&s+{fOzE1{$IgBaYbIsA!Tbe-smvqBeX{gbkF z3iW_z;HtFJ%VI#|0reYIl?e#0yKWMDDOz>(@G@k*{H+k5 zvNjN;%}*JR+G(m*K)VucjQ!uk_{q4E9U1+iQJ1(3UkYcbGQFsV{mRE2&kTM*{x%Dt zA6_qJ+h1Yft*j!jj=(yGfhIL;;(LwVl+I38Bmn&l3&>y0>R;VCB8i(&? z9XQxNehO^@aJlR@F#fyGoK_Ls-G9a8tn74&TXyyEyHqDNvOO^98S zpS-6g{s3K%MFEDQezR@j*1m}p#x0PT)oQY}TLA;GbeKj{o`(r}__hP2&@ba#Ps9e-ZwnJ+zR1`j3j+_3qaH z2)<3bp=~x`mEyMSy-0ro0W3d97v2);t@g&aJiPZO_0B7X4?O3#Amrs2%ryNgN86cVe zyf#P%+%>R9n+YmYFkp+RxL-xE1Z$e!6dJGyiEM|wlPja{O!$&Q^Qt97u7LoHc#0~g zddGhOz9dw6v3AI5nl!s$@KQR-!QPT%hF?JJ*9miv506Cix>SM2nZ+S2k&^nw8Yx=J zC{(MYJV3rYto#r>Ce+z(7Qi1)(J^(GzF9?gX7o4njSM-ujq5trQ90`R0e+%5VU)bA z=uIC>EXmnOO4z0K_e1GA&YMx`kd(cv_Ca2vCvp$zwM;1Wk_Pk_KE^Si{CLgQKhYTc zU@UJakzvGif$OB4cBJn|U=1gTBDT;L*r>d#zGi# zINlTBXE{gP>bl~=60SW?KtR$ay z2#6REQ4tXV5fNDy5djeq5fK}@$nswIfV=zbKJ9(K-|q_{nUZPueagRFMeI>eU{^u) zWtK5;FyBcb%TLN_IP{*Q1IAhSZKfE-es2wc7`)kk?WI!ZnC?f}+YxRn&wa&mQZt-B zGam@@w7MbFqnNj?&#=MBB^RAR@#MBZuU?_H%|lJvgu0Cg4;>U~+Q=7A;jNlOGBTat zp>&AAF@K}^(v!Mvn-=tO^rQF`9 zsxTB|=-#_BO@_uX1%Z^OB9S+!U1T#AMQ2ewI+s^RcToHAeGNjj zgQ61%<|o*Ei>LDu1fQ5+@e*_|I{;^Slxw+Wni34Uc?-0_97|->_An08H2!U}(?+-87jo|GW2_ ztuC0aUr~+%vTtRm;CahjU|4IZ#-m_Z zTkjSXNF3lxgMtmshaTB30Z1Kr`$l53$(Gw-Cx?XcSw4}URnb(dT}2;=q*u){<*Hi^ zXib<4U*~>$ae!vK%h`%a!=&mGlJxP70iAzZKyv{aLz|{#g z@!paphb)196G%Dk*xTfArYJDIxyn9U!*2rjY&}c#|IMuNd}a2Ee#1G(giZc3%ecbR zwWFGx0tf_? z4TcVF%c|}AWo-Z>9@12GJ;-!sZr>6YTOTeAW9h6;LzkuM>)fm z?~*N-0#V|3n-+XPv>H8aRrZJ_f_N`e`GY&Nlc&6^FY7h(__lz%kRq=7^o-mH6DW_p z*nick2ZQ8&1)F9H-dn5qaIfjycmvf3jbUY zSy<7gi4=KqDHT#@S@s?Cd9s0nMB?ugnN7KFaVgN)5ovPZcWiPCeoN>TibnrRw?^kt z%jgyA7Trm;p&Q3UM_?i(U4W227O}}JwgrsTt(3zcB#$H>oZ`+zRZIcJ0$A%U5OStV(0AdFsYxSQ6fUs|vd0mFLlaNk0k!w`D3B#(l`xvC{oU8I zq4E4Pw3-T2ba-pIpgIH(A+OG=|865x!i;=R#AJ@KQ#7b&i;%b#T1oEgP0;X$zQq(8 zKEzP$#j8Yr+cL3>huR#5b%ze&CN>du`VCtDbC3gRGv1ui>eyjy1J;r);usr&KX3wA z*A%?bW~SfJPL^^X_*U37vBW5f{B1c6w7JaS50M%8CBi1>eb0h&^Y^TU+_nOpqEtCx zB~7li`#g0N2$n?r1%6*76zm!Bczxbj&<_=vGM_)o?vbBAxcm=g$q&& zBniFwik9KAb;9tEXr6TRdt!ifKu)UME?@bP!>)MZ9wY-`#<2{ z)2MqsmCCT>>!t4eaKIS?oi|1W*!Ve(zP6s6MjnBI_A!x#xHDCqd=C!*~;yOdI_W(!^!V# zx3@>Sr^e~*>2jl&9do*us~q3&Dp$u{inWbg_X`WSDzJA!TSRjL;RrQunBL2yzp$pY z{60^Ue(9beZr^0e2+X1M0Nw8p14}Pb6@pHD4m-qXjWx8GyP+>~m}XGd`TYKmb)>EQ z3+#9T=_`J_kd~h_BI{YZYyMU9arL-XkYYNUbwi z#k*lF3$VMdk#If+g*QCWaHCd5J#zuV{n6S``rY~J1E}yFM%e(xPi*VxDT|(R(MvR; zZtHW+5q}L?OZTG!_s2_Y{P0*T^bMBV<%m1pg#_`RSfj{X3P+!&;^;EU0b;c#x(O0F zQ>Y}+HW7Wug{Zq(U@4YSWC_W#Q1bV`J7`_Ub~8S-c1dEbwtw>{jt4IfFHqVhRXT40p+9z3Lwn-vJ z@fZo7c8GsYMm$s51WgFu8YhcyqEs{4n?Od;d`~wY0;J*U-E9{0tC#J}(hg@);jb$w zdWd$|RrfG>4OA_rK=X4@$O4)SV94a` zM<|2~V3L|NpEehiC2Smu|9|%pI|qvT2`%X$_Pe3jB+luKE={!xl$nRr1Fei@jCc0l zg3@G)8W3!RB-2>T!EWQTh*zJYT7bpp2=R*9KzvnIchL#Oqya;;i~-~w85q(ETdYE8 zwF&j*$$T@7UO`<#zds&0H**KMI!`HXmXr~L30gt?1(1e?q@2EG>!}DE|!HpEC9g4sZMjgn+5ukv%1APn>9-Ar! z5P=PpO;ZoC&@{C*(`K=d35H1F70SJ^*~M~Zwl$U`m^2}GDj-tka*Tc7yyFQ16dyUL z1DQyg*n!ygBNe>6x6JtSW7tz665)@4Cq(CJ(ToD!a%jyoc1!+V-g!U8{MGxYW*Lnc z4AMV^f{u8%ObgiXZqM!15E{F)cf^lxKrO za|%*NxbG-Kqw6s0N^8(xzg?J!r96n20+O0ltG5&J>(Neddc#T|hdHklr&nbUVj{FM zkw}x#{P=;EpjfyTY3DUBHVyo!*?O{Ng*aAc_wR!(l-aD>17^6}y+^$b*m?IAD4wEL zhW%_gU>IbK!tThSR=7w(T>?tsX37D}z1!G>(VJDF^+TSnv}13f-N)2?6b=1%!;BAO z;B6kf-Q=(V;Pn?AV-&3)V1Twj`b1c!is>k3)KNWwnt?H6j%HJ881P}i9wm#(3}aZ5 z_n|f z>QGtjhOs*D5M<@>ipyf&T%$puX%}Z%PebCMnndYylaRRsJCjKo*+P#o$m6E4FI063 zX3iJp_;?mRonY7t5OYmqIl!QMB0asEpAwcH7&@qMFm<77pw<9_`3X3ETCSess{*$N z6bu(&e>lA7wgM`&-uQwsItc~3Mwl_3d}6rSQoQyq9urENCCIJLQ55W;T-ej?!e--E zhQp%nBppyM0df|B=H^8xZoEjq>Ht%?0j4sOQH0iu#9vflvH@6<4FD&*_27vqsPlrE zhGxTLEM!O3B~*C?K3mjAsfM1Ay@X98y4f$+8GBIj~j#(+J4v}9sa@h#P0xe#nG78E&U!w(m3c|~=^8@)3 z{Q^~pG2ZBltR(s|RYliQ-_SJb8@}y^=tC#28TH-CVbz#fDnrE4Y=qt; zkfP|r*fat22B)6duI|e6NGBMKzlAnocq+Pv|L)XhdOFXi$3}08%oa&8VrneMM&Ndz86>zGtCPsGWi)uDqe7O@_vB3Jy>#hC|bR0H99Bm*%bq z{^)TH&6!cBwF5{_fq6K{zc+0O_gwS#LlqJ}e{kDWP{(f5 zs>=+nYnQ>gXb(T?h5KI$Tmi7NC>i`N6UMGCBsQR~bY+h56$?+m!uE`)8@$rfZ9-CA z6D#y3MAs?&ud0HDeLUO&0fE9W#!nL8gQj5>m}}z+391PJ13parh+B^Nup*?jE; ztUAM@?#-3i*a=kDrMOIXGk9?=yEEM3B1OhX4Q@&}*&nj2KTW35c*F$Pd?`aL(-72H5>_{Y^%bPaJzC4bAGqV_JC2T@c0=OD9C9l666$2ZNO5dsS^;;OvXxe z4k0ZhOjvnJz3h_8XVh&RVIkBD!Dhx!e7lmDO|U)m z43k$)?0xbA?)BDVgAZL+ghDYP2W4Eq!U<=~Kl z#hU=xn5fcJb(UJELO_<*sB}t2BcC>FJ2X10(K!fK!tzQ#rPFzxF6lJcs5538(sC*&8Q?#Rct5e6pH343P%ky72Q!DKb&-BoT!2)P9tH= z7;g@bmHb+%Ce~xgI%BRz{1V>UX(p8)aCw>V)Y`5ZHlD{hILiCa*OL;s0N<{{_LVen z9E&RcJs+X!Sj%Q;$JkfUtlg|nHkE|{Mwkr92HVTc!3$TQeb`Qw(kwjlUOqavGBPqZ zZbI_~!41Qa?q zz_4f~b9ts4q}g|pVY|)H9#UX)wi&>Ra>e-xLQWbufQ7cR?cg2Oz_hp7K`iBF->_Jj zG6=2TtG1MWyQe#Xcy|^|G6XkWDNjH_%Y^Ezfgxs!-eD^Fx0!{|X;@`WqA3i-F{%S4 zNFqc(frc&CRerCz*dr7)W@@-*Wlz_=v^Ho>2qhib%|7s#isZu%o(mg{I$9T~buOpS zDw<5u`?gZ7-!mGTNoWiJ!L$>*_eF%#{yGy>ZQ_4HJXIDFAD94=2CpD)=C{HBY=Uq- ztDP}S+e;j3RL~Cc56}=&9@9hy2uoO{-bYBql0TrMgo@6~*vrsLZmse7t~RWW^+9FF zQhFqrdB4y1#+I~i^3jr6Hm`vCAKLFmMwVU;@!YN!36JXJCwSOMwwP_SoOuI~luX-zlfP zOIfv@cTh&fGt39P@j?xg7g9~hvzx_m9vn)8dwwR|cCWh~j<3K63X4~ug2KaXFax`Y zO)6IZF5>=GWOl8PxURuqTdoN-c(6bG{?=2_-~5nLQvr3;hS`)mLAUXd)>H4&m=&XEctho@ic+Xl_Qdz!S~KUAP6eLkB$F{Lc1AAr79K9)Ui1Zp0K2 z&vr-i0@2*eXnrUfzo@emmnjgwC6xiuK@9FKOe?_Vc1*OX|>pKUlq89 zi2W4}SD;!jF1C~UB&|$MrJl_koFIq}DLeUgeJ#h{aELcqV)~k z<9vrS)Kt zPNU{#B{+#XLCW$8`ee-hGc-(*eAhq-;o&_TDb6DHx+db5G6AlhJ>C?hVnwrP9&|-* zb|uoJm(2I`yjskCS7axi7nN8KZKeBT#Vs~c;S4NA7fe}k(~EV;Rv>bX*fl@aodUfA zt&$HPwJ@E(7;(t8#NwX?i5~(!ot{8q}>IMyTo8jZL;qs))R`9NYOR>3KY<$@$&*c zC;V-h`T><`k6`so=f1ign``cHjtW0XvnhJ-^AtHsonPW?IOL=hcfg&Eo;=#Br;!+r z8c&5uPgn}RioHu{rgWP{2^$oT3kWH zrjFdt${_*nt3@d?;9z|o;?AD&(YYQ2%AIwn^1frTAzn2X|39h5dm4@x7HdV^i?@+3 z+Jhs6MTYYNMpF>pZqYiXE>ci>7A!ER9O$s2tEe5j4VK(50Aqp1gm~7pk3|r)pYMSo zt=O%ln`$rTm6Tc(nk-gyY?SqQ1(Ze>uz^^51hh6&(@^}-T==l__9(G9K$@Nn-;{xfP{{>T(E&#oJX?%>H|-Xr|oCk7L%MsDhyV zbIKfymx4bodePXl*Ud5fn4uAwxwV&${l%CwS4+LPL*tvjCfdwJRomTkq~BJPmB2`0czvDQ=MM769b(ax4}=FA82RuY{mB^fqO7Tthy5I<%R# zvW3EV1oCK23=_3$`9`kY56QUoEImd|kfP>eQ&w6*z-T@7M`O(HY-Nk*u-;7yt3u5( z*)r)sguB95c(4dTuExJ4i4MlR>5Yu(>V*m( za7?q68~7X+#4y^b&>+-dG?HK{HbFss9VWMX_hktJSfPB2zfdQ}?N-5ImUld8le!){r^Q_OQ4fY$t_L*P8Vd6PRdbJ z{*@r?;0%BaWJJuS(0OPK90hWzG1Lo4`f2L(A%ji0$+{XdiP!qhyvWEM?O*CU&RF1#F;{>y> zH(>_&PQlVyU)F;Px=BZ3k$kVsTxPH3J#2HlQgg9w$~?sR zsBdD`5Ud-*x`rHavrG8^1|#yjY#waMo);0k`?2;1*o_LBv_X3j*k;@cV?btfF_V;) zj1__Z*^f<7j8u?N1y3rbj$K3Lb7c1fLNq|9o+9`RS(YI}UT^MJ=crF0zc++Cv}2}g z_QO&u->kr(?j+Xy8R9rsPVilZ8>jbIZK9B~=CXUC-8KtFj#SzGHI`OaHZ&DC6xT&} zw88H|*Qy`AWMv+f=`nfSZvLpeei7$=RKpS9D*+ER`I;XSDCuxKMK<@0tC?wx)VCv zvEirbQ*2eX$q-n^kvh&eoxr z^rsLJU>3CIdsv4Vbd1d+Q_;v4>t9vvbTRC@MqIv7zyr1H2bO`|;bR>JnZFy6r&!u^ zPgEHJhArB|99g{|p?6i`V&dOYMghtt`^<9NA&yQ~X(L3??wb`w751caIc8={p2K=_ z?<6L+!@j)#S@Kj2fYKtS=m2%#z`vrce-R(vVT|VAbTOL~&vSc2nEnUfIO$Ph>=*8POAz5iW4K{wRAMBQHA4 zBaYEMm|tf0%~=*^C1XB$7LP=!Ipa9>m!pc&JyvA*6ZC0qzAHGBf`J~PP!Dgg&=DM# zk$I!n<9CIwO9zy|Uz#2o>=lT#aA%fgc;eBFcqmZj@#eaMg&}{!lV0rh z<#~Mhp-^{!2r|<-f;|Tb1EI zQ2(7`MC?!91!w~5D_jN99XrxlTB<7dk%9SGxFG7b(}_ zT;mIYa+3CA2F&ISLiYHAK9gmqXjJ{8Q^0`L@BNYjq-Cag?{fGe^89JatSxu=LXKeE z5sJYx+2PN3Wac@1MUFtw;q^N*ybf>3;g32zSEW@l%p3ib!OU?i$8)Wf|Ls zOD4Tld}E66{Gu!OGSDSi^)XY}CxuT}v6ck2yRh^gP*<9;KZb9tygYJ-8U65k8vjwj zBOf&s6eP~5SmCxJ{{Ym`G}bcpAH;hCTL;KjXf^&(O9jocBNL0I;|#@X+0!D@`*CQ& zu)pZM2xgI3j}h#-fm~We*agr|ldPX0w<-uYKw6Ioy_bmJd6e6doF|d|a zh^Gvt_tS>fYbi7N_XEUYR8269aN_X?zY!lS7ULQcKl7H-=L}q$SBs9dJ6@f@+8Oe6 zvRj6@(T@x$c6;m!*?IpRX6|QqW4FYf3AEa8T(LdKvUE%NE3GrkupzKie=g%BJAV7<}CUu9~2nq%@D?L)9) zYMZPh-j?_2Q@o3H^a$Z*-l8 zg1|B;ig47hTeBtyYiR|6^}82N+9%m9K>7{_CIl)jMko6Z)El~`%5-%NLhcdswI-{< zRKTn?6ZK~SGQy&L8IkwaWZ(;G6mqny?RayY*?{z5m6)bP;EvJi0D99&!<2_p!OSfb ziU}~d9&0wN3j%YE4OjMkC*<+(X-w@=nxwMIlXRM@SD{M|7yE$4NQW;_SH+Z&*N~$z zT}4qY|DGuGrt(4nH*{wAC;=r=f=D{iBEK@!zatyrc8S{@?w84%n8VUBzqMvSmX(_y zJSnQDmD+$~tZ^rBrcvifKs?Lb52d{gZ(PfJI5MWgZ>gKpHN@e3&XjAdtY_t3x6#IK z*$yQ-t+4A85N$ByiMh~qL(>H74z`%#Ly*KH0rwxnc{+^3Nl$w*gdGceD%GQE)&lj( zoptmR^c~GdV&o`e?G`jR1kmvwWt2Bf04se0J5g38@)ujy#!f_lO&4AtcoH0mr{ z#0fbU%*y$XX6d}J@anj7KV66nXF z{wPc@G_|)1@m)`l)c~mhQb9o3L6&i&;})C6wo6&1ye-s;B9c2B5xYslaL+}g(YsV@ z$fl#yf_3i*R?ahGmjclBNu>^rB77w8-#^^d3&RlCeMCGsrycj*z6PQZ$)MZ}(9NiU zS^D=bS7Han3nb>EQ>|Q7rej`O_Op|?{}7JLOXhm96d?i|H=?H*t3kcaYeuaH*-wBp zj&ref!W%?W%YO^P!`oP_`xSKVPG~6`oQJ;=b$gqJ>!P1sUw6EzT8qXz-sN9VuAZr~ zRy(lbDa*95G5}2tW*Iql)CS4f4JPFqL=H=kDrEE;Nxl}=~545i@MygtE97^pamc^R^l5gxj7o z{Zq=wC@+RRfz49^+Fa=rzKn)rbK5K2ZUd}Jr(X#Qh~#T|ED?#qx=ewTlGBI+iPiI1 zWv#LTnht~A84oy|weIwTm?h3B1a`mO0)rnMzBZ5{q5jY$pz>mS8o!ZQQd5yLvKq{A z4Lds4a9)|ll`>q^dG3gjy)CgIt5UqBny0iT$}J8Y!;GQ@EIo6&ND0^=-U>V!ia*?= zq-%Wrs7AAD z`#`WoTJ>>TYygEZbd#N)oyd6JgoVU7rJ0gq+O%WcIVH3{XoZxqwMZ+Lk^&BXSPTZX z#|6^xJCOetDxa*bG(!pVLVNaw8H1*vjmTb7lI5VlGK{|~sI=@Ltiscnb1tZlD7WBy zTHPN`Hns{ZvW-DCz+udhqk8bMwSB^y>7Gdcfx*H3qpz|)!6ElYHj8B#YRi=E>Qcdw z4NU>ud^r=tfLX(>Uo&MH{tZJy6lD*l{fV&`1RHK%js1RY4$}`RoKWWmE=`~_fOfF@ z3}r7h0lnvpSIt4vPz~dJrdm_6v)Ov+K6We1sayF)vs&z?y`YXfo~9_p!(g&xO@4z| zcbtQUH4Vt!UeI3dZFk#@UR4N$d4s;ZKW~o){{TEY{|MdW>gmWw@YGs=XH6N$P{}py zwp>qS4I6GLz=6-SV4W)l7&KMfjLa8mq9R>yC<^q{iX!d%MIQs0Z#7`@t7FD2|9La6UaMj@3PSHeg&4 zm&9c;UYRIA(BSED&e(uj-bQ6Je6qJGTa`DJ?aB`HG>#a1lwHbRWxujdIiMUh4l0L~ z!^$xbdXFea0T4Z*oK#LJram0y)h%4y@Wazz=hPE;qW zQ`D*IGF~U8Sy7SF3B(4eCa2`>JD|Mx=Y=o?o;=Iy>&qDyAMI%74@=uNu8*T*CuOIw5i%OZMrrCjeOv>XKNBn zz`5FdZGpB(Tc$11R%olVHQH)zt+rmL>JL`bqs<5|(pDKdYbDFX%t$KSlM65dXid zU(&DWF*^zX@V^fEUdbWPxAHdu z9p27&@SS`YdS3fbQa%7|`~S-{NRjIwWIItRY-yGXH?$toisa{i;A49J>(uzyiSe(~ z;$J6)IV1jUE?E9P7Zj5FG?eDoC~KAV&?)$z=7c#T{&_C^Z)Soy4}PBo|1<;sc>+}Y z&!b;Gs2)-et4GwM>M`|%dQzUak9*wz$!w522lFrL0W*7q^8OWBmPC{NC&)6{>lR*; zgqAJC!m{()8nR4Tfmm)e7J{pbz)8rQUWJjF^YxT!&ZZs7x$!%G>^#Qhe*}-MH?|mC zjW>;L#&+X>n5MP=n5S3g=+zneznPy`=jQ*%sagAPbMwEOm*$*I&d6&M^7rZZkI8rr zG|)xH5@VUM!dPXjHr5ztjkU%GW1~@TY&OivxXajM>@)Tn`;7y}LBn&%IBXm-t`4x1 z#wp`864tYIgU>Xo?=+O(&+1Bl8zZZ37RD7gR&} z`_}*4uJvEdjN1R7cCG(v(@IV5TIYV>w*tu>>nzJ!|MzL~kJaOuz_VO!-u)8urWvAx z9Pc!IvcY&>L(j>v<9R{-(($|&P;ZN^m4h)-vYR(?SS+sXsDEAkdVUldHYQ6tAA)FZ^5EP z@fL5uPU~&|Nt!^G$Ed{~M3SM~gPvC5U@+u=O;*&wR_PfzsSa)$3-Cq;%J=H{hjQ7| zJW8wOyHE3mQkl(T?b~%JxW!C*QqKX1-~yoiKIUpbCrKcr|RO=FI*|bq-Z>KKa>TaL$Slfm2q1n7nI_L1p)QO_y+pw(YTGm_MFo$QU z6NumSwUCd@;oC*O+&w~elKciJ4!)eWST2@)fGuvqzd$B2eKzW3pXam=a^N$(1FUcz zGIOrhsNVi8n|+f zKa)O_!g=3|8xr!RRXpOl6udnUh*kWFLV+Ks9dP(h$rG!1q0D%JKO7y@C99<3;nZd> zr?-XE4}irjtz7X$MWaV4b%<{`d_YrI^MpQ;2P6-4J|#P^=0VSDmc0v9Xy@o#Zt1lG zgo$T(tgAylxtc%JW+`gfKOp}-BhiY`#Ij_KRQ$eHYjnl(%Nncg6I z=tVvwyhy}=P5F{`Qs2yzI3$CH#B`D3#1Ri0~q%a@iJu-VZJnMX(1-1=Ky8^~@ue4W{ zL7|Ra&v8hmx-wk4EZTyhS>UL$iFI=97Ty6Fby4-Dab@336|^$%~NVY;tFPP39fmS!xc`;Jo=I8pWgO0?HDQOir}4z|nI zB$5?N%MO0TMy-LzZznBlwelU8-@d_puIK?+*}Mui%_91g-Eg-n{+JBE$$ON2&ljZ~ zXEz0&qK*|s>(h#h_KF!)aRw{Q{gFhG#p&@>+ehTZ$`WABcpIlbE%(03Te|%{ngzb# zp-b;?%IXxo}`~rKamj-*R+u$B=V*yvifcQBRI}tjL2#!V%MPw{3GpFdy7vXMl3ec z%d*#YexrPGJ8xe9^>%(crM*w60}l~hYQ%C9L*&pM;GeuBzubX5Wf}ic?s}IO)t;hF z?4cFBY6TC4-cE~!yuDX4Xxooi$(8}oxQX(w8&Ty`EI!rCeV5o6-wZycQh#2X;n~OB z-K~=-F5t9fSi$uGM9!bem3Wu%4Yxs4peUqds1|P*3mBUeR;@}X7=|+qHSxOpcmZ_P z-xietTVc`PBE~$sAe$BFWTC1sXfGG^X&@fC!yC+g&vtzsg`A$u>M`CNd1NQtxmL#l zsZ#z54odKfSVUb8dcu~et_;#stu`gYY7Hrr+SmG|Z2BHAs0~DoMy8ZcDxN)UHhDi# z+9`STruw2dN*`oIG9ynpavFwS^g60flx4ekld^M;=%;F+V@qp2v*4{AXWIcbewqFT zgv}!ApZy`0(P<)QFHYP>eu1t#BbV$#d!eMUUeIJnlL7v$aK@vQogc`~@K;qmM@ARD zG}gXpi%go)@=k({DQU){8sDy*by}1_mb3>a0%v4lChE ze#z$)EGUY%ZW4*aBax-_h1KH?jLu3dQx8+-bhc{=o zpmi#(RPx>e(l#yK05eSS!>&=g`$DV-V@Un zi0;0V5SV(o{@8AQkB}qw@fK>U(Oohe+vQ990PcKOmVd}AXqUY8L*9nD-?evm66+m}89RBr`F2V)ah+qE_0{sj1ALHd^f6!K%>P9!)Wf@3R-`PpNqw3< zA*}~FV9csb*(Fw{y(2m(4UP2lS0aljKkoHMZ*TpM5iS4GpL$Kc`koToe>a+h00qtnh zpG5X{UObViTi)Ee-N-veE!XF>TaVDlcHO%?2QhAW{b63NeaUVge%BKuXB_5Lsq^@q zy%*9s)CA?nhk1!qKf&|OmV-axH+eg?nyU}Kg7(NH`daOJ#}bND##QCHG=D(N^w-IYC&1!pnfa{j`8mIv7Rq-% z=WXd1sh#8{ZJxH9A2TDv8s25$pIM4aO544!<`?$(iMo|{{6k)>IBx@ud0mNYw>Tli zt%x+c(|aDi7r%m=zESx7G5O?4-pbK3_ab$Bo6?KY%Mw4c@R#!FNxoc8`hvHr-@RM$ zgRmn%JH;PxudzPCe{hvnEFhmR?92Y#5}heWe91@3BVY0y81@LMoJJV%oGduaLkN;P zp5}2{ByT^>eFZNFbG7peG$PXgab-0*ON4j?H=%u^iB!l6nP0p^?u+uJ(>#D}WA|y^ zxTM^`SD)u?OTl!UXLpSYR)w!C{gyIe7xgpw_fuvpGc^#X>YnGX=$AKJHvEdmZOf@m zUbx5?XdLWVa9)o1iZ^5VkI9u^@mS$p_cOGS7u+)XXDt-`5s=CAtVw=WAZvmsn4e|7 zK|M8%*?nqu;g9m-SG-}n3nHgcn;T)-&W7*T>>xhgZ4yDEEI}o zS)W1MC{{9=@+*oU=#z&hN^{tq;y5^*#ZStI&hSFt8$1t%Pxd2g^%$x*XQ+8z_LxMX zI3jnS;la$e(hJdd+^ZC|+{A(nZ+ZzRRaoBWHP%jZzUJxS`DZ=C z#}y5;7up}h|B}NNey^-zI@>X*msSFm(C*NXf`NxW9_|3T$2W6wPSkD`5 z@d&k;cO!hPbb#Uu+fa*()?D8Xbut}|_?mQX_^ySQSH6WoR=C%mUi5@$^pxEU9CUj; z?e3=|@xU9@B{xv@m$0x{DP~6yrbW_q@@DzVEKrqiOqG?R)jEqcEp2DoWE$8QD|Lof zk1cmUCZ3^pTIv3Rw1s$3!u>pj!!26;+5M&^7+#2tNEA9ns8iSc)`h{mg52EP8%{xu zcsDg3oHO)uTjASuBGuYwg6#SYEVX`(Wc(iw7 z9G4k2`2{b;7HPkV5tTn6=5O{QOZUza^2|9N$oVefn_-JgvThJ*joaRzzr^~U;_(N4 zC7B%`%DK2u-{R)c(jBULvi{+3;R7J^xc-Pt`;Mp8_xp}# zGc?j_zvmYRHZ6aiJ#WiaSQ+#+A_`rNXzg6wT#%s$?+bh#GG-4hEw zk+xjyBc}8LRf4?Do`?ynl@yD^bn2sCP`1nr2Gk&x=Q!-DN2TJg<;fp-Gv73NLp&eR zG7PU}l#4*P=UYpLnQIhO&P(h|_2?V3~UOEucMrxS0(^W}n{uy);QcN~&~KUMs) z`e$egPyCs;)%v8~prk3!$#XyR`;7;c;1s~bl=E`aMTDub-$a*I9S_K37kNf*r$a*g z31Bw7vvfswvQZ5dGH(>Sn$P`WnXiPx;ebyGwP}9Y4F262t!r+1m33Y&-?_|h$o)JuoLw`^8nzmd z()5TI+E?Bapv*OSK9=dK$?|4CMggC<%bT**-}vwQJl&K=ydDu?+ z9E0?uL>1TN6%3jx52T7eplVfN5f$EVW9CQ#_FOYeSfGj(B&Yo5ujDw3h((X7RDH_@ zC$w^uAgRczFl8D=b-28yxm3rk8|51o(Wud7rzl%N?^!mAJ+0 z3Mgfn8Khl5(M~0;a1l;XJYsDo8LxYWg#ssd^KlT>xI8bvVJwy($?MywG`l=n<%i!U&dnWL!pS(y?`qtx=pgYIxvJF>-MLVX zbcvkwQO|nJJtY{)dLWEZ*kW|gyOzimF40?(TVxd-46aJsAzq}c?(Zvi)IN&3L*Z1uGd#`cU((Dqwk!=G@7o}Lb6h^=77ghQ zxy3D-A-2Eh7EjBW>7u0eWp^Dbip82`W){bT%W1s2$kyd~KKOYaYW9s~M5B(0!S|FE zK22HC)&*DiZlJf0T6XiO2%&!=DaDV5jcFTIiSAMD&?Okq~#O!D8+ZeVFZ zRkDjtiMEA>5nG`@KmV`J3HnRQO@*=d*+cWdOMQ(t@#gs>dko8}qqi+{=_zV{vo&1a zVL1}6tXQJ0D|$J2$6>kFBYdG|Q|N}AicYb)%-`$Qmbo3jRPwT&7X2OZCw|Y%@<)&8 z?>kE+CHKAqr-{!6X%OZW+Y}2_U;(XOQ|S-5KCdp6yVka$;i!())Jd!EK*54Qq?Ry=BR6lYG0Kr zBch}Bj2)}JctHLV5&g7!44d`pDLE)AV60f#VXN^qbS6Oge_76oim8xpIH3rwu*5}9 zD+O2&+snqY^cj7iEZ9H<_21QGND%R6Esv%xQl zIddEqHX5dPsVoEo%QK2OTO7(=$y=~sg&b)#Y-I4~G(>ON#oOfTF%ehN@#T}}W1sH{4di|kTeypUjvUz!KVb*1~%wO`y zZu9xg^SS?_50yWx6qA^W5g;1i-OP=8)2tAAR9Y&eURU2SE%2L+B3&EDUSY`1 z>$7u3Pv$tHO`|b&An?Fb zQy~!DsE!Un`3KV{3JZog=2+QCqmLemG}=ya~)Qs_JnvXAj1eLc`(60RlJP zn=L^vGc_xBCe=`<*;r!CCyKSV7WevzH=PEu`g<;s->hAYW6+hf26V$sc!;GL9-~?oP7fzKbecCyU&VOhZwl<2B;1zk*D4u&dlOL?w0*nTB_l)TA<0|7ssmy%apKCj&uaKAv~LBX|B zywIJsnl>fxaz?F*7wM2!)Zz|Ty5U$u+md(KV-*lwo9aU(Z$2j1mF@|9*V63dGgSCe zQ`6Sb^T{hUH{7tEmifd8{F&EL{W7gf-t4_&9RT6cjCat_sMB8N=z~YUN}nWeum$tLi}^BnIn`6NiGI6wF}K-f`Yw4nJNOzs<`-@8DE}Q> zsLn4&;$lUi?{&JEJRvq~y6V_U$K;2l*dgDb`F`_b#F{FF=3yP$Fyl?sca$>Gxbs`| zsMWmBj%MjL+U^!wm1`D;7;dr@7Bw$^o35lK4*?3d%aWtTQV@NIRwN&kt*goonw-3x z`>uSpOa!~*fjPzMPMVgyH3Jaw_XxWRZgxLOO*7GX`}-Z*ZbEW_ds@$y^_4>vTOTk>;IwaJ;0o*y1wsg@3Z$gCq0=-?>(6$(=xqxV1S_)K|s1R z5m5w1>Afi`YaIuHB-cp7zfQY10MjZCs1 z&`z?4u|d14{EOV$z;RM<_X$NX+P_ z06kv#KB%jeMYBlr^b7IBJ_1cdzW4LssVsC3Qli2-7tt&eI8cEg6_1cL-u`?w@CH|y z$PjiUiv*09&=wP^rn##4>ysv?+Tc#|lS9JP*(9P?>m2A3y+e)HVKogi8Eb!&xMF>> zp$5cW=8(F?AqeeQ-CS~<>GDX6Sg$-%3AXYN*@k?w16^h_3P=k539XY6_I&{vV7Y>J z%7}p)UGaCP6?hMIQJ58v$;ij7dm&ll0FG}Je+}KY#*d-^pHk~{ZZ-EZaj^a**7j#P zMI=4`Mm~|l>+I}xdakpNiin%L0ZG4kMWm_xA1><{rv}Nb&eWUzTSQW|H_<9P5vt=S zh*^}OH2cqJ11m0uFz^!lxR_)cZ`m)R--&s#5O|1+DwBF;CGC|24QnVnR!sbf``zZ@ zXeKTh`iw5Ko&bJ8AfHJ~NT`8zuKYWw(U#;GeHLTCR!2nJrysd5axd+HkL6chM#}msDv3`_)=`i4Ljcf(49deV8(;O38)hV|WzFBRJPEv$gu!=I0Q<8BX z?J&hBiaZ_t3OdyId8@=KarrxNUd|y5PH}W;5Ekm+l8q&)MSfM}<1xtBI0gw^Dpkzo zxl8O+88OK3qpXF&Dszh#?Vq`K0Iq^c-z+j~5Q%?P!AB=5Q&k z2A9-~ow!c^X*>cKgd4o~<`b0PWdv&cfH^D3Xq_B&6yaY@rBEe;>6)V{L(xO_pn^1j zeg+)ZJ@pUt1dP;8QT01eyi-zv5Dm7bjfoAYBszrBV-u^$$B2n_NgYU0H?B*%$X25} z1eixqS%1XF*CUMis>wO!pXe#4N3!T7WH>1P#d7PD5;mef>4N@dkLnYL`5&kp;9>L$ z{{i^e03ivjuL0Gke2ACFA`Jki$p$roP>o@BJ)8H(yp3VlX!saiaOmKuAQ}R%$|VPN zA|2wx=qV&pc^86egbwzI-0HJGL)RU(v$oqFr6sU&yNS@nD1H<*q9Qz3_?z8rMncLu z5P~8|?IZAVqJNpEIZ1;M?|E&kx|;mN*%G@fms|%b=oIdT&_%wT*0|fT_nVUp<5pk> zfO+q8qDTmGaB*u4YDo*nE5yEQPCS6zx)0`&*_5z9o5Rzra*F>Ft2ISp$HVYameK-9 z>wQPE4lPI;I?BF;yR23qsR#wIR+q2U_Uc-{)1dmDF5{uDhq%|rkq<)s$DvUFizx3t z${QuFHHxA|-MG`o|FG^YiC-}sIv2&yH3=N@RcvNU5`u<68`;5@q|i7D$6y$Sh5erx zLEt7eCJA;Rd+cWBR-^*mV;x$NWsJ6lgHu$(w`Ox%lOxE$I+XH*vhHGgqs*kt8_1I6 zO&0kU2^p0w;90UiXuc0eN1$1_bcIp21zXJbu}xJ8KjFnX`&hp=B&=xJUZbq@B`Vy; zzv&#y*0mw;qjAjNmN?vIDtH#(KAfwar8} zzb#N`SCL`(9P#GOm+z+qlac2d4qcW(GlG!GYIQhrsy!j!cIhP?G+UAa5hyK*HhJN@ ze&>1l&&Z!%v;?{Hy>EMJB5ScLD2VR8IPzxNNXYOe|I8J({}l{B7tt~pl-9tEv_=4) zz9>q~efumxDJq}D8ZZXgyKj=VbsdJxUYXtM=%7cP$!eCEB^LNNDAc>eod+dB-KCg9 z1U!gl*A4hD0~)>{^Dc2Z?M=9>Bb?eA@z_(+LjIbj6Ih@fakid_{{_=v3x{VI@?VAO zI0qj6-1Xo|sIWGGBMHFzRdg7>4~<^uVX*IV%W1_;6x{?Url};W{{mX^PV>U$KznGz z=^<_M)FL&T4MkS;YI{dJo86gMq|dB5 zT7En4tNW0B*O{akVd2`!R<}jYS`KOfi)3%R+%-;{t$8U^cOfbMFYpZ~(Z)|}YLrW$ zWN%J{#<8Gn`muK4ckn6bEBqVl(S=mBf&yttN&atGp?-$dEq=!z^lR4Ygz7JGI?1!P zdbjrx)dTS|kpo#tF4ZU!%=!eIR;SY#47yP$yA4IMfik& zbtN4FiY2H{uo1e>W_KrE2nqIdClO&g=djzL!^G3>WQU3xB=K13_<8L)qZ7mV z74HTDA~50QXqEgV{Tg*^T@rkT57WGn)b9*CifsIHKp(NGBsPO+)MaG zLD(yQBs}D2q0f;mbv?3s-3E*PYtC#A+w51l#AB8X$l-j<%>#?&GF*C1?zHxBSzUH2 zZJKD-XU@V`nV~01#=mf^PES%VRQ`$qA>1N=h=i22}|h-U?q|r z7eAn&pn=X6{C~EB{SI1K&%=PI{m%v-Y{t+&{s;6*F^lv)gTF%_PcTE?+H(QH+LD8@ zg|LC|5m)2E1G~P&+Hn z1bE}r+Z3{7x76X*>-8o;JcMv()}%c&3G4)~Sw#?B5R{9khtG96$mI zkx)+d*W7!Ba}%O@_jJAn9yF2xJ!B%@$J3Oh0)QO>I*Z=lRA?mVM$ zzr){j8D1*q8UotmHqqzj_U`c;3Kv<+D>Iwy{ogXR*XOia-7Y!9kyK~$D6|~kRE(`n z3OF#}@}yF2z4+2ho+#BOoJ}}@ZLR@-ikaQ9lk`6@pHL0RFgU0cOGXOHae{KM&0yHW zPJBq5?8S#982wUx4)9EM{a~55XZa#duhDql==GHvor};n^2-o?f&+aC3Qa{oL=q>O zLVH--fh3uY8%U~kT3*K$DZjxz7T`U2mb79M>e!(VyFZY4l;3IoL}s(uwiSDua8 z29aCHUeah2%DadHKMFspG|I+V61mi;mb$d>NxgINXy*BtRI?!;lh%&2xaY69=U;IJ zNh?9t1`A{Hf4*#og+{^+mNXcyle&XRvXGNg&*Dv8!zK=fT8@uxA51QVf+dXuqsbWn zV%<;@+6)!M7r^?k$|nR$UavQwgHqGe};rAY}aatI?<}q zDP3l4)2ahN6;{Wteo9&(%kRjV^R^tCDnOpI1F?Mq04R7kSnt)ESfimt#wFT}am9oH zTrD|}J~&Pf43%Lch&Fz+$TA+T{G*i8%W|3seeDg|sd}?MQK8Tjh1uGXWLLr!q@9c! zL(f`?n4Jnl7=VM!A4QhMT8@Trnav$T!pW&_ugmWCmdr!%-I9+YE72%e=MF~$QY>0u z^ef3|vKUaoPu=DhNvSoE1Ti|Z8Jj+1^R>+pCvm+Eqw*5i?KlNNfi z@>H;IMqHe-M}xsoC=ywUhFQW%DZy3^i&{m~hPvEZr_=XF(@Ch;*AAB<&uA(y#ecBb zV@VRs6NkqVA0#jzj3sHzIgUhN0orLC(Fbo4d!(V&5=b@irjRjM_^~(BT9enfqIbv4 zvJuz$8u26osW~@Ps+O$EWn03b^ejfqF2x$;$dkMh{u>Q znJDtdDVLBmvtx;vXL2s#??BU|L#*!v(pdF1eoVF(K=c|+DMFFp ziv=gbp_4=ecyleJQUx0}iR3}G_ueF^KyGI0$;2*A@(x2IXy6V%h2>8sUddF_Zam4# zNXliyCX*_(g&mwsnxJo(cM1u+V|XOAsBIdTM#_Om2V*e@RVz+XjfxlXQ@EY74Y2`J zpa#GyJ}0e^p3VB442&74lDBB1vV=On^7?O3_D!=fd0?w2bPtgu0aeBrHefCku@1s$wN-uvIA3+6c_mfrAwr)51JP1)OnF=!hU<++ zjS6LXzEQ{t;`G*CiyLgT;O+5FM52w~it~U!>gib2$WdmlmuENLN2@rp6CaRrA2kTq z9OHeN_kg=s>F<@ZmHZ3_)#><&;C8>U3nFD`Uzf#qPiIZ$L2UXh9t-EG4my=W>IOz* z!i5W#@Xt)K>GMcAV%I?B2vpqE1*Cvem216asV{kL7T@`EAv0g^V(e99z0hL(Br+B$u&sF+Ak%!CVRCAsxZAtpZb#9C{87x(L6`v z4T8HnTeprI8SVCK+&HFL$!+4yCo1@|4k!JaH54beVUxtuf>4;b1U z!cI>Ko41@4#;z|XCgj~LWGNF=DpgrcWF}4ihRgxSZ*45*Fq>;!MYf)AeXV4Ul_biV zuOyY4F-S+mR8Yg3^%-fd%=G?j(7_Bl&LmDnb!=BqP5vA_#OZK~&g>6#qR(Me3wpoq5cdJ+3l;KG7J(n|GRw#Z*WLV`^CPE?OFp(*S!!HX`LpE(Mio_3lWUgM#jY!^G=Q*?)q@HbsNbJjz{(! ziBFJ=L9f~}8f8BqE4h;b2wp_wQknp5ypROQG6kt+rN>yOqmV}Xo(()oT4Wu^--Bu( zo|6|740X~^;4=vXk%$pCsI(ffRpLo}1JDexa!+wXH!|Kf1))>Zp#_}wG@cG!Sk%(g z^myti{?|*-u%u(8+MW;TF^b%Ypkxy%bP-0q8b{An_cqTO>7y$R&F^LR6`U13=M6j3NubRtrb2P4)B>p$FPs1}=B zzC9KV9Zr`3oS2n;Pps%L>-s$zkk}!)qnY=r-!RvstgBucA-S0r9y^G^^H z^bk10cAS9OWvTd=NpC%^+K|v8V$3s2id;?Y!SPZMw3m9kZ4HLBJONPp&jo`4!U?`S ze&d>9a?HclF=#E_1U1>#&(JMMjid&FtZK=xm($j|hg90E!GL=YcKD{yAN8=`_y8*X z2~Uu7Po*gesSy_77Q5YMGPxh2y6G-eYLz4P3LYibLS2B$J6^?;V7AGM2Sw^@Z1zc# zkx{)IF)l@1j)vhc#ecXMI^n*Biu1A|V*diVE|=@LtMY$wQVOKkwfesCBC3SZQ^aWt zjiL6SvuU?TN1MMYcMX^0ov$davkY6DVp=MzK1HnBL*}T@m6p-1tld-U9_%&9N70$= z(^C))>|hH{k@gDzTgSOm3fs;2@teb3r->eLRl8Jjqby|5q{!q{Cgg-Zr>f9t?0<<_ zi_?%wyw2vFCK11TzH$e-N8a48aRje&5qJ779(0vfYo*2Fuvnr|%SizEdDuUvNjv{V zZo9s4s{9+8#kqH)G((1Ql`tA7gINUM!Q1K=o~=-OPTLx5mc*L<}eh#C=^=2aQC4*#>ayMxrJL0pQh%b!xtK zhwlOoIWHIDHV5l?mDmJZgL>Cc=C^FzRg#r>T>nfqkETb%=7#3Kxh>T1xxr3dC7Xs` zc8ViW_;YlIA`6`R7Bg>kn+26raG?m|P3R_G3&q$Z$TKNV(7JFi6Mn`!5J`cHI{{ib z?XIoVCUC)D@cRGRdK+*0pRK>*hj8M@FMUX&!a1aXnqi_^rS|ZhP|I{k_mDgIv5oQ9 zi3{o}&{2z}T_;c2yEll@e9e?1mw}7PVlX^F`<3T4d5$%f9cJ?)%9g@Kh_e^5t2c

}N}EkqYR7BPnFwU*H%jSQDwF>(H2C z5e4_@1iPFiNX0z{sd(NHxlEwl$R)#0UMh-L4QZoz`Ax%CUUtv$nCwEbUu1N+TpTTz zJeASE4d;jzwn<(Z#PLRPQlgY4N~g=|d^!DEE`B42`o}@LNYB~DSxU+8RC>xK`N1W* z=#pHwC|#*{T|*VWyTnH>$v-a15n+-M*6!j0QCuR@ElP2*m0ng-QQV=C?$$_eDaGeX z`bsI%u_`)I1+%>TJ zlm>(6p$*%2(n#l;!}5ZKXeQUKoHhED$cE;ouGF3uKcfzt%K~;DpHbFwHkhmQmKLr^ z&0V}p#%)BV_mdns9`9G^3JRrp)~h%3V*P$?&1s!&!%-vaN%d0PGHZD}&nVhV+u{lb ztu-yxJX2q=3i%$2mOJR<1JE3Dy>bP9#xR!2l8F#Rc?vh;dQ`I!^k{gQ4dtXMz>Wvg?%|_iGQj_yd?ATpkma&fa zNPfKVtKjn|C@#z9CD^4CQPto070R!egdET^la<~l#p$8`*VSgvQJOsjON@d}hzA}z zg#`Y4;KK_ahtxZj<&_QGE!-A+pv=f(_eq+>M|}>DbuIThdv>4PmNiQKphHr3$OT5H zv-`i3V9>SM<<~oKR2E2jj3b#}(HS&4i5rGjP^X@u(}MIO`VGX~k67gcQVlIjp1_q0 z7pT%If5_H9AT|6Sc$br8G4zn=Y#SvRx<`0B3_kFF-mJX9RlnP&(=b%?M`ENUjBF2K z_2G5=$%Z~89@AfVFAtKAYIy5Pm7H&ibCl?vNx1B9wgY}_IjJfwT#NK8u_-e#kg|@O zf?R0@#o3O`sD-_JNK9gH&c-z{9VN{12f1W8tKtT59l73|pN}{5tY82s<9-#G`Vnc) zx<4Yhu?3Gv$G900yuqCSx63UkaMKI3yd9Ohjf%(D`eC+hbnox(eD?tod$@ek?1hJfXYE%}F3$QvYP_Q};Z zk0dot{FgobhgfY}Ao4jcx0rO^%!t$BFj@S5oB0J`Kgm1;VcCyKLw||2CpuE@Jl8>fdHw_6B5L)Fzfe( z81ZWyoBV`y!M0Fd;dC?t<(j&CBaOp3O5R{JxCT1TpSeffNF**K*Wc8QWv_zOm zt)sCb?FaJF5#m!9XE@DPuj46u>p8K53~b1Al5EvL_2;#Th+UARGQNA06RjGZ3ikVO za3UXr2Ns@GEX8#(w6P>u6tI6&+(~nmh;8J7`MC3OFdy$0b3fWZo}&-*BKPqvG#~t< z&0vj~8EU?qrTj}ALsw|0@%73)Be(?`q6wjrI~19wqgG?#3cFSto4FgkF$$U1FHZ`&tu zS1s`plU1HD2H>x7G14hw?G&o9D<-i+FGy*f%$B+U$WtHz2{8bYl%o%D#UCi!D9x*$ z%ng%s*;-3ot$GUgST-JMkV+#l@siKDXP~$=DaK0YYHpz5RB$`K`I032Y(JqGwzwKU z;=M$#c+G7fH81h!+&2QL>G3}82Oic>D#Ps1OOnTAuSk%5Fz6E~vcDpB)l_b~KqeqH zh(y<*IvgAIihy30rN1T?`5yWim$?y7OuT^Wu{U26Z{pW#I6Li2(XY@PR5c6jgWdy- zy(Veg1o2CD<~7M7o9PEjrX|ouMyT8HoD!C;5;p-}q6Au&LWBSv9Y3c=`1F;2#m&^z zmTA51rg2L(gno`d99aQjMOvQUKOJ0>Bq4w*whAZ42h0rAaE!^hMVCA4$hebpWMD1;7aR;@|$~b~ZObAY;)R{W7~0PeZ+msx?)R@Vf(lKXDE> zMSv1Xk9w!5N#DIvQzbpZOqklkbGd~AY4^6gHIlbP|GE9oOZeY!=fz(dL;gh83sZ;o zthsES(9Bj2&J@{1F-dNk&rN0vF^xp8C#0WHtyk-kZWDJHhubaSPSlR{R+Gu+ZmV(` zJ$8@Xo(sGE42q^T&S-g+IXG%Y9aug`@6rX(`$@rqgjP^EJv|HA1VYoYZ{U!>;Zn2^ znHq&cyaR>9R=QYN!2QXcCOO%WS;BKb{d+u65R~X7Go5D5Zafa}fCEn*iHo=$miT3% z^jIs+j^yi7`BIinsa8xs;La-Ni?_07l&0odtd`!gWt_(YPwVo$#GsBn0k#IQp2%mJ z%&NuQuh4Ft_BWZ9B+LXC+<0JWD;99RM{GBxj-qf1jAGtL#IYaU!r|nd(9Gv|G(sL- z$~}^iF=#2i4X}vi+!6%*GZab~2J(5cu5c2zB#Qb2EQzQ6d<#`&tBE0GTZ%${kHxZt z1I;IlR0#k$m(x9<23mu_YqFQ8$q;-zkL+t%M5M)N9eYQl2DF}y7U|Fe__gpw)Q)W6_6j7D!OfyLDZ!hN z0Eq!X%t!vDWO-q$giLi|GF&g_RD0coYW*Of0Lp}otV%-P2C4K832hFEVVxADbDLQk zDXl6Q3SK$CtTaKIX+Dbr{f;Wfk^Lkk_XvvSCI?nxTN_8SKp>+*!&wS&FP?>EcS7B5 zoXcd&+{0D;ZJ+R^E9WhCC`0l-J1nDy*mW747R6dfJV948__!wB%$Y5LDHi{2`7KRh z(QXiu%hDa0>Fqe*1vFZgGad7*Q2K1t#$c7p{MJcGH#_#7f)*iD-~O}FaCtauI9ZCq ztI;?#B-QGxwCC$sx{Bt4u&0-b2JJfy9g|*?y81SHeJCn#8NR_i5NF|JP2(7M8rnu| zP*E#8p`wlB3R5frXXpiid@l|(G@)GwCf90WIB1gf1b1>x_4o?sLP)hr_Y6Jo{Vj0`ffO z0t3p25pqVp6RjdueMZTXdZw@+5@?3~wKmTtn5j@>4mE-Zd`+#KH7=Y}=N0*f}j;%Tl;L-#z9MgFED=|T~p6ySh z8EJdCNt(ny2RW25M}~yXNO%WzY$ddVZi?Wpvp{Wf8bW)y8MQNnI??eROVZM^q5HTQ z=J;SU3ROz>b8AJ;r16N*A+4a@0q&8Jh)cnlRL>uuBy4)E@gO%}6TilFx+&0oIVU48 zx(6NNmYYdwv*P$)F&Olz-y?LG+hlI5K{jKay07ggVVOq0j*YxcanVX4(vAmVK~7}0XvJUGZH(aeY|uIRK&r=!5fW8 z$V1Ld7@b7DQ*x5KYmT3-K4;=7R&0P?ikSmg8v`B1t{JEfp9VG#JV{Jxq-hAXVf9S( zOJk`vyhJES-o&L}<;Nnc3%a0lAjw$Av}QUW@+YzEN1lSvd>kkW1w);S=L>p$zB}tA zw@9!P)o!qmfszoOQqFzB_L*t6+LfAPvw@r2tG9`k>W7$VEi?&CdBqlb9x}cU;e*m^7V44snj3jt<;=?pgsB+(Ei zp5?wwBnKt%rSS)Di?UW89zMs-OeFp5lqKcG4H@ znv+^%BVDu}K{9sAM;)(e3K06&$6i)bb@Jgp!W=ra6X6u5~n><&@(bq4le--zBtGvZ^ zL^i6UVUyM6u(~b%J3oiyRz<^LXOpY3zi&(DeO8!6-?sX(OQJ$9jY8?t$Q5v}hI^GE z(d6Ba+1?~tY@clTLns~&m4?s7BC{apiLPb1TD2dweqVhC2vC6#&ET56cCz*%>axBR zztJy5WfhI2YNy-ff}?M9zX6)NI0%Ey2~n%mn+oeB7n~>C*x?Y(ZFA6IsXDGaDbBzZ zvq;)|S>+EqRw8;JcB21)BN zmJ*>3);K~fu2ISb#FI3JZa}BeW9aF=j#SM(D)ns{;6+Jt&mVEn z=VXc~z@&FsShFat)VZ3PBR*dyad!_{Exq1tV>BAGm26Fv)-U!<=e!jbz0sqy?!@o% zr%=lV;cY0Rz+wsfVmB_4AECC%;s&m6L(kWGx8-NZA&e8+)7F$y+EMv_} zgpyckW}G{rW@}4@LE>EFEEKXQ^6Xj`wWNJUtIK{)Tn3(*gWL+i47L3eoarX#Dl(XL z85x#m_UFhM4B92$rO4WB96Ha+vuTao5pY^>6S{?PuCuZE*|ZU5PYP&v^fK0=5CRG| zzlb((Q~VV)ErS_4#f4#F)hJ=)+y zuHq1uCs^d23Kt@yTsL0+1sY=8LTv5+M*XTALx)P|9F)&`71LJuCW?JmOeto^N@6h;N>NV~7%v&v7hE~}AIk?;|F__4&znv~I&{tMhNQG+DP zi`+xuEgPsN2r&5n6krpPT;l%u&li{3u`=2q<|?O$6Jvk3q$4qUz&;r*n4onPn=@Ky zD|THX=D$^AX!=bXI6Y*gwPd|^rsPh&S+B8z8|s`gBl~=;FpBxd2_Dv9oREfoWuJ@_ zHt`-)Em^N%yzn)WR{%m5>rW%;2RC7Oo*=Y~b(ko4QEc=iLEyz@h;mVxM8)QOAsAz8 zz7R^VE5l!M8rm&wwNAs+5cE_l{|iszpc%W%)xu?SJIpUw$7w<{e3P=Td(c99fC~U! z?@14OmR;yco%jM_&wA1fmeY&6svEXW8<_Rpr*XXAJizNML?6pXA$^Khiw9Z$o{y-NMkMwV_GNNyJrtg0PLfU}f2GhL9~CN6OEj z=|Z=Xe(duZf(Iyl+<=FK?U*6#Cm)1gQ#N*{(3HSrac%tF#C z!0Xki#p?~IO7H~PiZwzse==uT#95jzhe&_5nA+@j`D1Rle6DO7`c*<_;_lYn^sSE^ zr?K}W+JZHM`}FOw8i+Q4Hv`sQ`Y`%w#Y$l9ZH5k5x5+l#a_WCrdn2*>S3DgJ>OGI^ zrda?ut{2d@p^yw(hvbflNHG{_dv7JfE*S`zx+~yHe!W%*vZQrFp5ZP?!>0>@1(GwQ z-+X*oNLnELi_Rl9c%3lSev-I0A>$Z)9`&+J;a;O7=yQ4*|AF^$7r7YEveyfC$7ScB z0SnRKBx$o?#wwJOo7A7MQ)@XFo3UPKj>gCCuNQtq_Ij1yAd`bQ zs2#wKf4DtgajCLKgCCKw*1f^}9qTcgMsS;@Y}VI6EKJ!X*jUXbpz)u?Y~UtggMJEu z+29jHf#C-7#i4tjqgv`-$!4JuVpFyVH!F^7-=2fqZil*{&SF>zxT^~fc&o0W58eSF zH0sjL`7dg*i+ZZIneEfWPcGr~6=Vc%cSa(AAz6u%`cTm;fe)Pbbk-T(2uTHHikLlXa@|sQxr=HDa$PLA`7KWSYiKPo`e< z8T)s;;A1&EgedE`1BOuBPNA7GQm@Xy!sdzEoM3V^_b|RFeMX;4YGxxg^)s4i{fhjT zwU;$ovIAIqO*+pe|7Gp{$qwxla?pp*5%W+WlHiVLo;bTP-HbdCFUngb7NGib7li!SgDhB&h5Ft&RZZOv4Ng=AJ|HZ`(Nv#CYb=d!$M zP3CW$eyo^~&AUE>vv3M!3l0k=_VsM4Q%^KBn~Fk~C8(eC3*^tPVOM6;0N}uPlf18_ zjEjpa%WXf9P57ar*H1iy!uUQe{f&jV&Rgxa;juz?oe}hF?3u%*I(tomGw~hK*fi2K zcNWSq96^J|vhz5;mGp1aWDanv4yl>|z!0k2v$#+8ps)B2(&TZ%Yc45JZxmNA znAzJJe#{-^tkMMD&)-8Y1>a2o`yGH{=t6W4oTy`v{sP-R2WIxiEOjn*YK+EKhDj(I z%1;k%!{#c(5!PoeElD(YDzHA}f}==Pl`~q><;@Jcf$f<~-_RfACISS*Yz}NgF_dXd z*#o^gtPn!aql4J4dGu0|l|SJpyaH*I!v6n$(dBFOrEI#1bR~JD8Ci;nH-+ryF z+G&VHA#2wUN+i*>l>IiJKDRDLuwo>^G7_kPwA)<#lhB2X#>7X?gQpDCZf~%53t<48 zy^wx@l$Q~)khe*f8qfujp3J_Ojzq)R`cuL|?gV$3O)L20p#XswC;`znENZY@#tTWEy&c{+CA+dc)FM$i zo5~;^h8%)Q0zJ8@iAT*$*7inTLZpAt23~#s6OUwz8Yq5>xG-1%ik~BwpxMfW^f0;2 zTU&x1!d9%VUl_2MlGv=Jv>8KZh3=B^j*xFY^4MOm@n?kyAc>m1QC;kFNrKXJtYqt! z(f62ZIn{#8z5Wlv5eAUCB2>UiR?s(8Nk^6amLZqkX{i~Gj8S%D1vS%+K8JMn^p$`b z+zo4qKBJ9J+3$%4nC6wWXh0`L@(<;Iu(FjjG}N9huT+c$Se62bi6Bb5M_bSgz)AcF z(5}}epT&DXlbUT`M+%_cIv!k8q4b1BoZ%%gGPsCrg<5qR@p6 zy$G#RMxp*}z-k&wNczIOh`&iPE^^;4KBS^McGiTfp& z;wlTy5)b18Z1^^sRo5&e^3Umd^$gmY)>G;Ab3Jgj`9VJXQS-TSf9YS=^u07K+3N5o zCkM8oA8B^UY5rGk$PV)w>g@^dvQ;>=2nt|K+)jf&xF(7t`R=ao7OhS2_grcAW;jy} zS-~Fb$-661)2|YjLd!r0YrmbQD=KTEIUo`>nTYo8O=C@V({%A6Pzpz&nTSo= zP2XiNcLPjjA$wyFZEI*+_a|}S6ln1=3O(an4_*(pdi@_zP^-lf-rGYJDE53Wg_87q za8xRg1W83|_n{};6Uk|!_-Gjog!ZFfK`gy+A8ih3Mq~pe#ZKb8hZ1u8k0G;=e>y4* zXENu0nDLwLr{ztX`od+?xI4HImeuetDJi$rbX1n+mFuR$0zE01>*|^@hf99HqDhwz zd!Gz=P9c|IDEvY-8%?LB`A+#&%{l38(WKGYKb|3Ka@tIdnGet@SbGp{Q!k>wk#L6X z8h$G1H8!xV?mk4_iDRUm>YowtEj`1*yW>$fOsm-QL$o>9#JqvEI86Jat?bZYS`K1i z=@FV%zD^x~t7bqGu90)Q6w%zGju(XVtiGf1oB8cN4F&R20D6d)367=m1f=9CRckb+ z5zta)1RTV@#AZukQ;*P6b&J%g_>H4+HepWkDK7c{$|jtyfQ+Orw_pRZS_9VnQ3~fA z_U`wzH@opY^~XysOm-X!G|O4~ahNfdvL?r=C$g?~oOJ`cz8dz|K_mcgK+>N{O|7!Rkb zHHpv;xhm<+-09dNILu?P`Cnwouq0Tm)vcn|vL3;WtmFg@DsG@ADbPUBRo~emdV_s* zf&#N}3fp>ux}mf8o zEhMXvMK0l^m8jWoie%FWVHrB^vDfdDxmwOuWG#X7s`$QIS9XJBZ&b%)AVp$835ynY zlI*pD_Rt-fN|SIOTs?QdRr zou!?jrtI#^6TG9)He9D)WF$JH%3Xuk$rL?f<|LP^gFDOlC4`N2f_2-J*Y#&t2QoaC zM;^m;?g$%yhBlV|i@rh=9CmYVjNLgy8{$1`mVK7aHnd7kU+3E+ZiceKTc<%S)p9pB znAcOL{DE4Ne(~5wDg93sUr@TX_`zbt0E(~rKQjm)RW!Ou>m^lG6`aGbmC>nmsm+tN0*%F%nyN^K z#oj$sR2GdsgtFBo?w!Kr5>M!Y&pAf@kn9Dw_gmm+NA`kg?B0(sQjTQuOSHuFJ^G%G z@dze4oQ$rg>c!G7J5co(v~WLLCy3dQ#aeQSy5t9ORc@94GKFTt8`;@Q5an!TsiNpi zhc=aP^qv2E@ii^qU%SQiKhVL$|DSIwe`KIT zZ!c3lN@gYrfQ=V`vxU8qh?PP|X?vgs9*$E3jjZ?zeJgn*qD~-LWBNjuUbUB491e@q z9LRfyHsKNAkQuXfy252A(!eB>5E&d9^`t3ek^QQFk#~G!3u{@jWlpMJ;AB=UwUw9}s5YjMR##%TbY&?0h%skQw^e1FoQ{Xbt@m zZO1>L@`Os&h{T)d1nYm7)bIIrL+H0K4`nTl;|4!>zZne;-g6+R1DWX)4;oY97)QsQrHOkQRn^ zCdPMXLM;(c&1a*??-VJg$q;`z|OUJC}oWz>X(!N@JXJ%v4S01x$Jr&tgCGF%?Yi;67}O%@4)gNX#E z9Tv2x$B5czw~5e;kQZ!xxaVxG*mDuRCxb@c8l(j3-v=lRtQguDsDI0}m6BfP2`K+S z_T3X6p@v7qsec_%tKM6*q<>#UkB1Up+X`hui!K}#XeCv@qjWU=Z#vwj?0H^_d`%Am zrCotCkhKyiE($W2B4<1T>fgq{X%PRZVkvGhRNv^+`wCk143oY(6W>~5O?rrh*}#FD z$&JPbggWz4v;lA^OHZSstS2ZvZ@_%_+iqjN+>(&i%;XF;*(*739OAM4L7Hr2o&KR7 z@{Q#m%qIK;8P7$?lUob^TM=jemBs+~XMx7Ran#>O+!#EPt@VlN#em!kWcX5l=4$ej zZTUIT^s-L>sgCU!2Q_o_&SJnB!y>_LD6UBZsM%oUK|PaxgSW=S90!VUnnM`Iz6KAO+W=%dr{C` zKXW==fT!XY@)z8F*(tnKIK!1!lq6No6i2an|5Ec%tF=X)Iynh@AWK^R1j^b+9FFjQ ztIehC{x`~PnD!$|`y6%d_XUi3W%H3~0&3bf&ncCLie}Jeg@x{fs4X>mK5?031pjF? zd=(Fc!d}nI=qy)1G#2#%Sj-l5RlWw&e^tQg50t*K3Wr1CNLD+$f1h*UNUrxJ*60P* z+e+u5F5!CJJiD;9>%dlNZ`=^Fk}XQbPh=|hKA09>(00(_H9h@S~X)ELgG1N zH2Tpaa6~JRk|Z>RWBnJ(3C~3z-(wSA!ALTnZFvQ`mJ5on(M{z{)O01}cjwTX;Msaj z_iJ8r^#zl*kI$;HDz8XK0E+eYYnqce870&oDgMIs$#fTPQY_%RWV_aKbpf_5EA>Ka z?kX+?KHlW=xd>Oxh2ZM~Zq>BWJXrHsQ^e=8iHQF+CdK?X1ZGTQqEsnkX8LW`dPOf%FOtf|)q`FA1z-6WHl2(I|0EQm18R21{qKi6Rh`;+%LB`&I<7 z(^pKC0F8Mv^GW!Ajl5}T6Y(5wi}VL>7FjN;_lR$0fPl*F^ri-j>g6;qh~#$!rnEkOH(_b)<@hlf)_EQ05s=IsY&i(($}onsSn#B<31HZe`YhX5|%{D0WH z55T6X_Hq2*bH};ordb_Hn!QJpbftSQ+R~O%%HBhisff5IQ-%!LhrLvAfPw;18G;DN zlpzirOi^UW21WG$+!P#$zWT1;`+omlMw`{7Np9|a&Nh|fchIR*MK(sXva~IOnE4WI}K`Lbi*qISKgRJh^mSi&j9^(Kxgd za%Oy%(3gP!DPRCgETi1xQ1I`UC#ATf+a|hL4dB6j}v>gN8}Qe}hn~ ziE#8>Ur03Z5P?ITBD{-1u>W9lc?FglrlQ(p=thNOi|_}Kf3OR(L>~AKC3SrUn#CZs z8@i2PUj+PXI|c2E{B&{?RnhGu`KI3h__qga(nc-XsqY;fP3wzDoE38rpn~uhl7znn zk=x6SI;cjQh7QZQ+o>f6x1xuOh^BE7+`o4^Iv=^s474)xlE`enPF-fA7v$W-@Ov6% zQJ2B=I~~Uko7q>{<-&SZ0;FY*P z*f}Ba{@!WW)+Fx_wxl3N10|8E#~WdY@KTz_@4u?OQ=gi$9I%eF{`0A2=SRA6HM7b&s(Ztl&0T zElbg1R^2AaV6YergOG0@qVO7xfPhjLE$u0+Y2fz_4qvVyBN#fUis&^TAOJ}AKwD?kOHJJKu-gbuL&flP?ffDT{EDkSlHS1C4T7Hn>0M7F+#U$O zEhg?+T3byLfbiRI;+peCK={FtSr3FCeB0_&P^%dSWm;nZ?SYoHwu9kq)v(%2wd)su83yvFO1 z27bKqiA;oSTo11zRo#mdWYFf}Iu#-uc1s0FP;*F1g8E3^i%(Pick{{i} z6a&4DSF$zTp)&xkdWWTRTara|n-}|FcCCLaQlNWIF%iEUb3*i%uVmUiRy9{SUGX(m zIp`BUT*vF>2KiCC--m;AaBE^wd~HhzoD?#fz0G-2>u6R2P6zXEUu42lsg%sW`Hr)-JJ+<9*eW>_zq%Z`H2i zjU{Og$gj?@I>#`xQ4{zn#aHM{H3#7}yz5e+eH^V-u&K3HK>xy}3N4CN0mZlEC=$l94+!?!z(F3ZqG{Eo0zJ{O%9R>NmJwtu@e)}BwIj`qAG%9ML)p&w^4 zjZV_X{n%$t7Fvx^Y~w1c0;+6)mXN38V5kPiGQ~Fndx`GyV;w|V`L7~ZrP}UIDxzoo zc!Ty7v}}@|pDiAx;M~vw^fI%_^CG>c9f^(W)N(p|hG~`4Vif8F>!^^v+wn9t2k{7< z91Vg}M?%_H35^>>zs#u!NWZf|+)Nk+C6m3g&d`JHiI!e%Pu@To;p8MNLo`1b50k$R z*={4yEN0+t7Cef|Q)LL3(nDQHPoVpDh9K?yB0Up= zqQ%kS@m-0Mr3br{VNl2)2B>eDWb_?zY9*i#GP5tEV@}?KvIZMe^BY<@3 z-lJd(n8?u%1=tP3+almUU~^=LFwfGl1z58BUZN#^Nr8SCvkZ2*!(i*5!h(v25O~BbMKa9&1+=g0gA4xD@*po$iZOS4~Hah6){g zBk1u`{1B|D^(ezON6!rqpLU$f)-MIR?}AG@NJlH-{`oi-6_zZH1-fr>8H`S#hh-Ud z=Doqa3T6L^WgjZu!SyRp;%qkkTlq&QJ5u@ciC}Ec*qG@PI0Zp=1!Gk=4d~ z%tn*dC^tgSGL!rS>GlkN9^F>d`Tzs@Td+6bOWGxcp5?Eh%JOHi$K&YC7GGs!%!$dq zw7k^JKK-7e_myK?yV1;(3|n@;4M2d28v*i)!eq&j{3>OwM%lHL& z9}{NwvrBQ0;Y`JTc>liQDkq{#xNZ{aS91tTF79LPN|o@uRc?fpPumz8Re>d&uTKS* zY`)Jt(A?g%_S8TE?@eLXGobPYDi*4pYd;%wsY{uBzB|rfPquAg>Cz^6E^17h)#3mke&0c% zleE3_dbNc3nT-erb(5HLF6oo+gcy4=GmO4ciz_|zQB6f@!6a6pUI1~(RCeH_?K_>0 zUM&MXz;x#$4;+sU%O>)2TG$lp3@uZSs(htJ+gtoWCOa`beTHKpGdJemx(Bb&2b2J7%q8rKZl*`hv1n%xYyqZ^yS)4Ym9Z=j_pIb;*` zFzs%XSB#Yu&~QB>{`b@Ubh^IoQFf!HvH@$>7dhpKmBMR$rCd&UADV@?uv<&HpeN= zipHWJh)@48+-$Nq2oJ%o)T=;oB_^h4)aCVVJO;IOxdw9uU6aSLA$M`tq^=p=Trf&j zD&3kWjU4{NpYEz|!RSS(NmgfwcZynI7bK0`-U0`ObF9N^!5TWd1zxSh3 zQC@BRW#~2R9!h$NFRCZ;I8G2=qSsnsgZpzf?y_YEvO89Ar(#}5?=#i!DxKB=UW>~{ zVp|)``bIODll16Nk_cn({;hF!Me|L(buVkqy`ZE_=aZcG0-I5oR?q~}&IWWmXiXK{ z2vv}S+BYfpEPDkCKm$g(6~sqPbi7vSGwO*xS)cCmD8lazgBepaJe=AVBwu=<9li_M z=$R2@G6Zt@9dN!l9KFSq7uFVZq~1})s_)hwo}i_3U-+8R~ z-tA2ES{Y!)G`BNO4!_wM-atBGEO}aaS40jhjL3mI7;5Q;hj6zILPq-5(?rYcVrbHB zcp%&3AuBa^hXVqn+jqxW1Z#lfi5AVFcXr1vS~P(K(uc#$W6y>WMwD;H>I}HKkiT z&{5+RXYkI2OjyBo%YGZJ#QL(zd&i*hOnNg%eXHWWhkshSO$b7wgxedll+7w~Lo?4s z%oNo()IOEydTfll!q`HCAe*ze2jk=)QkmmSv22uTtf-tQDi;FMH}H98E`CI9i8I6H zOA)I{U*U9RXc@EuNQ{Bk}4-m#2tPgkt4B-2@bs@D8({w!afs(@ryppMH8LP6U9U_c^9F z4c-O7>JZxHE^MNY--Q!}(vr?*PugPo_Fd3PDS@853xDDZRo3}O@N3y64CE+)+EpeE zRt*7_M{)Od{0>O43SCP}RMTVBd^g@eN*iRp74+2I5HXh01CMhF;o|;)w?baX-S=Q) zc=SCOn$B9hu<9Qz@-9|=-QAPX!S~@fI{H2=lfFzd&IEk#JrEY2QAF^)_{tmjUP%&N zd_P_ra}`7;)J+hvOjeN5fbY$G0KX7!_8_iA)c!n4OwLUV_`C^$Hjo60UWKZUr565X>COWN*RCsq$fL>2OIsUsgFso6ipLuVh2>@yiTVu*H6t z=@n+Y!lZ#3b@2XNPzfL5_X2^$#N_1FXuc&aDI?goMUy`HIZvSkuMWBu4neoiMgwL# zU6u-qsd*K1p3Z(4`(e#8Wf5^RKgwyFMI?oeT10|nSEIIz?LOcV3JP*8bI@kAK{f?H z&z4i(k=5O13RPMZmQ+&`WNRjs*n1atuNw=4@7(fnjLB@a9DtD?<^8nR^JMU7`h zjI#n>-kMIOwHZUCRnQa*&yMlfjr}{EL3MdMRkcaJAWB-wOjiJVZjyH5hTUx9>+1RZ zL9XcqRHEwFOlxa$1YN=Bh;f<4?+8>v%7rBz(m`#u!X%Y{9?Y37W1e(NF`epgeqcUTu84sScV_K}Og21<`o7AK7=8b`If~Jk9(#efE!(*n z>~xeppHo&2Q=j5;E$&andPCZa_#)axj?qUR!}aP{;q%7LBuh~Tv_(+wV(Ed$a5eE+ z92r7|kPyy%99JVTI|`ohT{4-97A+iFbmiC+bdMfGRXv(j+1-=ab*Rw0lHV^ri|R`?Z!)`CNG?g}wG2Ivn&)Ra(!-74 zfVENRq=Q7 z^Ty$L^Lyq%$7*;3h<^(cuvyomwxO@oo5^-`$dT|mow=ISgWmTQ{bn_BM7;@%1fHy2 zY=8gL)U<{q#LY#86ge{7)7VkmV9gOmHxe(R-PRC^_FD_M3B(D>K>NK7_44V`Fa|Qc zR?%Zmy zV28)T#?&1wRjwr|O8=**-$3OWapSzX4YpKgM5vp+b)y$hw>_pTorGBrF-UwO~qui>b$I7>Jr`RFf%j_6gATVGJ z9Ww#v>ee#T;4`2Hlm~`iJWL3%X;mBXp73WAqRZ5qxq0pPbB!o#i;p?>&|t|ytq z<4jwxDm0OK0z!TDbl8UsqIuJCKVz|~y*nvL;!~lYc}a%ds4B3q6R@MP$<~by+)U=v z-ZLOh$faXuU=O|XUDATCdzT!b^R|#uX+L>n<|% zdUPFEa}4=%L(|a|vVmJg+SGJuI|${O65L*uDLSoZ{t%|HDCBXvbk1B$jD_Ac8#jUm zORvtxZtiX72N%6I8`l6+STzUNkr9U5ra^vq2iki(tne<`PE5%4kx&$^iHV7+X`c2q zPJf$Q!Csa{f=HLea;K}>cJIAw)HGopPNSXY;qvIU2s)VO1alJ1#>zBLe&#f~d>$Ua ze8N%xd{{7?MCA)`iPaAqfbA&+6`@+ z#3a!Z3$R&pPQ8P@!fYi2jKh$33Gy3cFQOJS?-}^1_1s{@Iss3#iu1rvaMfBeN=vI# z=0aNNYK}g!gxI1MF{}u?6`0jnPVd=Gyvez~tbnzfBamRXW_+aDs(2~tN7>_cecqeu zXLwf*birf1)=jKY4|$u#cLk<>J#V3N50iQ^wWX}JL>(TG zs6!iVy#gnMpIm_(Gt~AbPPA3)zQfw$dhiY_bmg*Q$vb@Em)_x`W?vCx)!V95GF;}e z7?oNbvjaUT#241<^gtw5ltc`~3CGDyn({TovV&J+J6*UM`(iGzc@Ny_EJ<&XkaU{W zbZ*yYc=+IISPWpIqN&=7jdasmoE~_G0TTm?&BwAs1h)`10>-(QVE!h49*c0t$iLPI zl4Ya=6Fqs7SZL{65cnt4{-=m>pvfsJ+sM@Uv0WfYo(3};>tKS?iQpfc-^9G5)*;zu zX0!Cok?PXNlS1u6@*1Qw+4SD1M2nRpF!5>FYB8?l@L=~Cw9mSOYZh9H90l?OS&S^% z8*849iWcLU+<8ID^;v@z?~4Xw#@oy+kgb1A`Wh`41YE-d}`4Z$;m|j;}qXZx=qLZ4I zE&op&&2xe^BeP^t+oh>eSt-3cz@sL1-AIVs{I+Q);7 z$WRUUEK&q9bk2q65N9*$oh^1VyD(R#mW49d>knSGhpzpGG=W{9{0!_o_R@qi#1A53 z%QM8@;Zs=K%t!bn6wK>wNPv^+Xd^-nl)8_3-z?2oluAV6SEy@*NIV;vg5<|Z6Ltvo zmyE>mAh%hUb1UJPX}o_B%=?W)yZE=6O)M2Rz#Ig$Zry+%jO&x#v;}oqCZdx}LV3n6 zh(&5XrsK|%e7f^2F&R#q-(e>6A+s^c7?tN`Pcw%-ThJiE=S!vXbC99;A@!Uil8Fc} zD~Av2SJL6{KyZ^l7r%o$@u;@cW25z;9#%QZ9%qF(AM^zk`mjP2zl@$j^{~o_Fl5jY&4%&&(=JaV=6Mp zJGgFlX6%xA0?5FHI9%{kQZiGnw)AK}6;3b4PpPEl; z;wEg4{|q8&4HAeD`@rYSJUH-{NwKHy04=&e(wuD<0fCqY83%)y_sKBu>W_N9MWv-V z8d19jvP5gO><+qi6Hc?_?c)=YGTPpiIT+aj^~E2t6)Dq{wQXKx%!yHH<@B2i#H{_) zT%P8rte65J))m1w7bO@q+wjY@b~7|1+D-d!#@z~&AKt_5Rl0^r5%LU;v>cWKc{IaB zhkX{~cbUCfl}`1!xHme+q0TVI=E+r}QYcG1!mEPk8UK9hdl%+t57Ghe;-JSjPd$pC z$M={P>q{C3g?5F{5UUkp*$Q z0w~#vJcpRNfnIMY)aN`CID(qRkAyCi3P#~p%3>7IFR_$kkc%}?x(6gJeMCWAwgq-i zXmhHSM32*v6gE0;f&ak`ezj5 zaYad*y`SY<_6+a$AEKT2;T7FJbP;G2_8L0FBeP%?Y-YjYHp{gt(T}natV|we!mwbS zhSnn03BC<%Af_YCM#Sa72i64k;g-m1wuw#qf_dY{rN>|`ocsQ{GH79T&4*{6Cb zw#N0oWrx}J9j4hI;UH5shxYvlTbsVlcs~@oWxvZN6^9ki;+5*TJQ%Zuee>?_kUSI@ z7iVU{oc^}B%~APAZ97BI+f7mry9`1DVJnU#hJ0`KG%xI7ex0cu$&C!J!{X2z#}DYS zLqzBu{0S}#gMWx%=i6W(eyd-A*P^J;?DDIzGBU&=?62B8gZI<)LN8RFBt2!a$vU{N7s+;`i7KeJoQ^E&E`Bp-960(Qz zZ>z}XR{oRXP!Z@|pN#ru7nbfiKxopR`jI$Rsw8-^6a=(6>)%ykg^mCZgSW7Q` zjy=%EEa7`@o%#iSIdk6-^$Bh&I|hwoX0UB?DiWdH@p`f%ZLsovJeP=Yn~Z z`W#FUo=_zAqzez=MzJ}r^3((f409Y_zjd^*)@?jb)dz8|;koD|>~q9Y-SjcADC&n} z1N<7=A2nsxHuhTG7dzRnt{pVLe^16%C|6Yh(Mmc0q~! zSNMSLd^9@}vAsbYPZHTrWo)~}h;>7j{Wr&PYufm0oD=RBFZPhCHCZFulZENQ7vSdf z$_XHn2h&GR;#C84dk8%*G85!%*1&f*DH|6`L>iX*=IB=XkBTuILti`&GMV~khWhBQ(zBRG(mkeoe}--9j+3C>rT&(LI2u6=Z*dMUq#F~3QU z@aAV2WyT!-DRhnV8R|=%MsvWnhxR;=EzD;E9dRB92gaa5>_#(3dLwAW055%71B?i} zarSv9#}Du!ehxy?YN}b<7M;9J4k_{uINt72E@xUafQceu64psz;z5q|RQWeC{Xc-J z@hf7@bo2(KWj~FYX02s6F((Wkuw7xiTAA^{OYW^?3?$0aIENUYvs!x@S66z50I|(M z;$+P#j0|&8+vNnwo{A*ACO7Rlj9nyf{a|~Lmd-KsT81ImlXSubtSNp0Z?h%Zjv-HO zwHE?X`%{p(G>*xHP9Sb#+RDyC@5#s{-tYG7bk^bQ8ep*$&^{TwGx(m6>l#T^*ca2@U(jQAl4Z5F7MjkwzdXt4b<_Cw>2 zsb~fWGu_;x6`aK3gj;&uNo>N>d6)4VSdnge1)Jm_!Ct*!7c*Qtl&yyZZqXBaJlbQj zSf6ChYhFNcub>g!4?KPS3Ql3Sfs=Ut3eLhy@D#L%p&8%e+IS`Gkob5Q_o`AkfGHZN zL=o|HyjOJ5wclbrV2Q89MkYaBeW$Q%VmT?Ap25^Ypj{rp5;w(iF-fS|6oRtgZH*cY zx%zDZON2PQbH-gsrIbPp;)X(?itn%m7`8j4b5GLIaLzv+{8jE5NkxQJIZzSXAX$5K z)7Kf$rH~szKlu)uG&9)`1gJ{C{h{;$r7xlfOKPJlA?I6u6-xl(egV?69&Nc8>kaod zj;@pqrv-2Y0EnjquG{1Cj!51fHGFM&w4ct-k$#IM5`Z}FDz?UbZLS+b+Bhnq6kN5P zWXG82vUBOit2mhUeq7FJ^~hLV{&e1-jWb4~dF`<)3cz(BycvT-u#Xi4v#sU;W73N-nNP?3hzF?O zP&eBR2~)29C^eL9w?8{2T8IM((U&Aj5Mt{jF%uxfsYzlrK!{Y!-3>c2X!YhxfNpY0 zVjtMQcTE;02yvcP8ppy_-X(NuvRG(%nSDhIOVwJqREu;fCOXF1!z3uZ(XY@m$>NZF zxIE<)x({f?@q|mwW{=*W5n*^vDo`*fBrm=#wlc0P9X=oKbXU{ZP5?d$+zeFWf#fhIY zp1!^wS*baKKK1mD@%#l(H23WkbQ`amX?qDRTkC6>n5{ z!|c0|fq4+2Dz`&=RY8w~wjT9I=w)(>vB-we zmt{gTJ9`Zp@4^vICbJXBe=zx-`_yg5qQEJB8yx)t=XshQB^1#|qM)4hO*%hE%z(PC zol$~TzKVS2)j$7X$$%4uxVoL+_3e2CMBPiiMu7 z&|pRSt4&@RD|nITeduRXcV0aPCR(<0(@{lo@g($;RUT93Sk3O|Z5=E&p#M+OPfA7o z)G{%?^eP*ef|^jC>zA0*sl2APcrRo;1HP=hfG%)%%tKq{nWIqN3DkQj7c5?lfJ24{ zW%fgJJeFm8sk$d8Qn(*$ROQ#~Nl4_%Y4Q$7H9WK z<+QL;92b7CQk(?6XN*8I;q$NO%A}+Ck`w1U1rG zAU$77T3*k-7CD}2B-*jgEJ(EDmyx%64{8Op;{=g4XoFE6!BO9LBm1(6BWvK0*1{(p z(wsVtVH3Lw;8obOXx?Iwt+J+Z_F>37{npGiYE>!iqD??M9z#Go4!87Y>OC zH8io&`&nCZxgn6Xg?-h+^@5wmMQq2!bx|~CY1RYrj3ccFVdKf)#5t?S*4Y&0)?Noio zk3_;9;pLr&hL|^@WhlZs7DPLip!Mi=?)a3!asryG7ch?tDVbvr?Ze2}F>O_4)pOikEQEk`IkDAn_P)9mn{S;r7_&pQQ zziQaYLS+U}4T$tWuMpa$sTePRkA2G`eGHRanqBlBo1kNIX426%VYsfOgk3p`}Lt&qDyd6$r-_GeXjy#bhhigzlleKxT4p61Zj zXe&c!Hy8J!0KKP$m`o?Qg$&DB&c2r!_&l4{a*FC(W?*jBao`+B0~&*C5q^~(bqg-< z>DUdt4yNe$ugI25!@V5vM+sFtnZ1}9Q0DE;7J`$s*SCx>%U|k?^4m`BmzhvKiy(>yKFw&OK3it%noClv`8O^57mEFVw8cGvPmSvXdV%rU94ZoYz7)h*L(B2CY<6(6Fz3MaQBlQaw?&fw}E6m%j*=cAmmCEjvmdNf(U#3Ut;1?cCA@oobV-%#1DY{#c;t z&wDJjbQg`$*Hp)#ON7_sc)W{e22L8mQa(d)i3^a7Q>i%BlXOgXu>~EGAt=xoIy*zK z(YG=Lll@24S70megyr9_&{BQ^w}ER9T|ORWT|?L}ndMB|*dJcm}0E1Whw8Zx^j#9wxiqC!YEjBIS zp^xSP3HPN1vSh?Y@$Sd08HvGC!8;YDIjlpW2C6@_FD#3r_I#l>(YuWGwgoXgRcpJ( z0KGk*8HV~mC&BW@W^-`8!*D>c9XofDlk9ExC45a+KCPUg42zOHJo#LHz?44qxXfx$D3t1PK+}eDjz4fcY?@^5{zcM_BLP3K# zib?DA*l6^PdWOvA&9)~5f~Qz}uy47iiP88mzP-yS$f{d{MsrJu#h+vNm^GYc6YArQ z+M*)UM-Ival9Fulloycs_Gh4!Z*qxHC$}d#t#h&PInR18him(b^*n7_DfC8*!mn4t zftG&PSZGD-s{~6)lWcdutT&G3OvYkgyW1wC4o{)t;!e{L+x;mvIzAXZ4mCT09BSk1 ziVYC2Bn{$|9-IxYT775!TPEQP)RewgCA3B(!h;?X1%{?J5wa}9EQ@6C5$k~M$a9#v z$_!%D(onN)T$kz6aRQd!n+SuzXFNopFC_SkyU6_xNUxH7#=X)-lF#@-!--Gmm`BB$ z@PrU|I|?6fDm=tUU*iycu({9=S|A;34gnyhBU=ciNKUu45MJVEL3g1CiVo-BE;tZ^{rMe2 z9bI~dP))DiA*3;}=5SIEp$iA=sbl*Hq43&1f}eq9_pk1R2kv#3FdK#O-GY{dDjL%O zVGA@E{9=GGlY{Ml(1XGkw8uk28GZ2~2)<#EmySQ=F1N?dM{m=9uL5xS50IDT zf1bQN5%mdv0Y#8Y&@V@`&vTzM5&N=P^8X(6a>YjB??x|Y(XN|?To&X@I)Aeerw1G# zrm38nwZ)I?^$?z?K>978#X^+3b2HRV1AFTs#a$F8%Od*aukFkCxg5|h+cxl*H_Xe-3JJZWbz1~W#h+&`Z>?N{ zaXA_gxyh|c7cQ%Nb0Vo)|L1m8JF9aJs zZTdYd^It_}CjJqXc}pF0px|lQs)u_j`i+vwIQG(BM}&@l0A*&<#G}GfzpG_NUDq3O)RLVCI)r*D3?-A{xBR%!rrifw>^b%e?#c zg5Lj~U?wOwbIu4h$6GOqhj;J|NG3=vI&W)e6Jax&3}$m;Yki8T)d_m=49q!Rrq|90 z<`~J%1Thl?P0%wvff?u*bY}CvL}%_ofM@=i&h)=PiU7@&1WmnVCb@2Bj%IXLRl0;{ zZbJVcpXs|Kr2fojh9oyLqeJfF*S*XJPBS|dAkB`TX#QLIOc&$$%W$SUB5swsp~ z9|D?!)7K3oU4NX@*?cb4jN}f7(hd02?_*f@6FhMTG*cPJaONs%n%E0WO&~O{`BFm%&n2rfiNH#YP!J zPOuF%w%RvQI&`J%1brS;XE(4tMv^IiUGfEHoA1`zT%Ew`+>FMsEq`cG8cH{^+3Q(P zsV#Lm(tn6*Mx(4126kXzh*WQ3?-7-1bJ`c91;nXvI7&nB(;+_y&br^qo-gU$t_h@h zqJ(>XtdmiFI`1}>`S#q=Q*#Ue{uss`S&yjMFKC67t+dy(X2gx#lPz3DL&;Wc| zlFl-GAe!saJx~WzR$vcaa~#xML-w>A=4by3Fh3VFpngWoPdfTXL60NA=NI(FA0aug zr(SfY*|$K8LLnH@J`KQqX0MwfCkf1i=qXub5YzgbDLaX!kjAE&{Aq8pgQ51oYPEXv z^H)KFg)uJUn)+344f8RQo19jI)0vpMjzm<@m)&on<@^m9v>1_y3@TxuhNRmf5GXjH zdB2oG0SSd(pAi{!G$MJizm`FFxGkNIgdac6!sOW>=%7un>!ACXyc;@b1P7gnEIkS$ zENDtCFrogE&?+f&v3_6acqtr_%FciIo z673gxL)P>B&xq*q2nuQeH55=!NGbu#v$&lpt~8~tsKFJj{f#SHvM%y7R!)c{qP&LM zaPe4)i@6}jl)e+W?%!*U0yt^|ZFB{em{AEJHFzWH=xdBbj(Y!7%+XcRRT5Sbq8*qQgK%uH!f6sOq{&YX6Nrni_19kOMR2#VuMSyue(s?56pgeJ%Snoe)dnZi$p$q3dJGZ9gNW9xX|_87Z~o4MB(bFJk3s z*Z7S>16G=q7;11z4~S*9yRA|Bf=iZ4x6`p4{gN#`8n=_K)so7(A56}z#)2o+>)9nJ z&Dq(%oq137h}Y&gYpTxmWV#(r$J40bC(`t0&(yRUoe|2{$3#TaFagiBy^fdz5_9Sp zhbHl3AvJs@>UoTDt+5&Q^0)m2ou2$X>eOl5r--k4*&UvvRWrym~ zD7&WffWdTqJTb*}lAX0Skf%eqU!kY`Q1nEj2z=^OWt6&qVV>@#z4c_$b@7zRzD)ZW zpc3mA?r9$*$^Q4crz8G0c^Y#Qd7Ak5nWyozpOr*0xBve|KCSyb`Lt#_3-D>^Me#`n z3Z=Avy(bPpl; zABE$EM4wh(r%zw9?2~7GhCH5smx1~dftr0w166Yi19iYo+S>~r?w{gM8_?6A5mbpk z%}8I5s;BaKKF3Po5BSr%zk@&ZNAy#`PeW!~^YrA9M4x_d`XDv{@F~3~0c5maL8kzp z+9m9i&QBm(?M_q-)~O_&4nhyM2Iw@<7{X}!c>=LQF%n3p=``dgy4ZggbqdzXr~`44l92WPiayji62;P8-xODg^Q>lARIu!_mJeDn$>1?g1i1e z)FqTS7?6V>*(Vaqk8{s5E&Pwy`;wl8=7| zQY+9N`fVDq|H?_tT4D{o&-iztL~|e89WJ+fK&H;%knq%t3Oj}FxdUu(FoEtLL0J4- zL^b9nMD;qDs;jt_raBD$os4Qq@fbBYs=r}WWg%boBCFhB&=03iWRez9lNFVRP}7ga zQQTg7Dw72Mq^#PYs%{YGA<0-Z{|#By^hdHPoti_6qi)tzNw75Hsb*78E-6eNjP@Dh zEieOk6HcCW>$kRYUUf9)&FBwBOdC1HM83Cm%u8_ zGy%E#rTELz{k_)evMN%S_m`|y^C+mB zgUI85m${nPoZMut&S*~TESRfwZF6E_Z&<64c5Z4xawTK6eG91ezv{-$-#1o!NW|&} zu`We#uhv_K-!NAF6pi6hK6iK`%IY}uv$A@FSY3(!g~+ORC38Y7|0S~eT`SV$CS=u( z0avY4eNC6PCRu;4t_q~8%~oF@L00YU{&RFyKj^AI!>SQy^(S5RTmF)!A?= zKZy0#5Uc5Ci1m@!3{}NQ!rt}_N}&gPk+@)3d4pv&#cO3g_t$)TqdxdiRDX-BH>%Eo<-+ImA1An;i;dy`-Kta9*Kf335cR`LQQW~4Y^ic=jWVDSO(Wb_ga zcG$s|Hc+hqx5oD&3E6+2*t!l{+Z15uA9$@rriongUn5&pP$qj90pWmlF2>j0*1r9S z{y)NP4cr8_g4UXzR@vL>H0)MdEugi6;CdZwZ4h4bf8(|$l~%1r!A8LmDEW@`p{zSa zCjXd$WB-#p*n<%b;t^CrIiI&^46&8_;#(6C_>RL0)#RMlxL? zS=((-&x^D4G+QFRtCQLWf|L!&tBJN8Nc=ZTuMz0gceC{Rlk>Wq`=#_6b3=Mf?D!e) zn9F5YCqj2{;=Kj=dX-82N66P*gNREzn0z1oI`qFNmzyPu_d}Gn2HYSjA51dr7xmG~ zI8jW?OY0mLK_Ia;*j1UBoX}LUhKmTXy$6%VboF2oWN*;0P5&MmmT9O1Gm>I?AXM39 z0m?{>;(bsUxR;I_Li`dM+xVedqp|yjkYIdj@DJG7svB&q_jxYE;e1IkTO0%o;Cy76 z#KhZlMq}<Dg z{V!9qE^W#r#lKaX)emgYX8*O;Y;5*R=xwel#Wjg>$H%*+Mx60}$OX|S$8+(I&En|p zsU#)Xz|i`Pwle2+e%8|XcLCZ|N`kaACFK!-)}LSu^D{J z`-;AWzM2~`l-;2SMLU6Sz-WP@UCE`)f#QcNOvI%9wMgqP{*6gXKV3+ax*=fG0!i!s zvlgxY&s((g>LTKbP`e;c+(gkX0E+exCEC2Yzai0HcWAHR3+M>?%Mz`ePJe-zU4KN; zjzV?%8y2mXM!yIx{u<2Lm>2Osq|WYHOdL0>v%n7z19essZ~xu$>~(b(09sdRf?b#M zkIA#9>+-Biqx5J2#~i8L%2s!5&Ll2nI*p^-Rsk*A0MV8JM4Qy$&|YG;qs&^HvHi1P zcRwJNkpG5xvPJ6RW>;9MH zw9jlL$pd%Go>BV0fl+c{15pb!?Ot=C?JHH1{svK-259Y{VQLE>1`uX3*V0|yI{#*} z)>v(v$hiF*5EMfmlh0)eeWnDL!x~K=+eCCg+5SSZJ5p;%M4*8)?qnY}TsV_X@S`mra>l*tJl|yLAV##Gh{Hdf>9%I}xQ=44LI? z)C>7@+}o7dNu2y;!F6Xf4elg`ppEt2Ng6?jN?+Sa9*wT6$t|tTorDzrgzN^(w(LFf zu^nc{!MOcvd~NMH^>w$lg{#R?1`KAGN9Jxc7zNzH_1sQ$6}8CK{iN8w1%f_Ew+5M3 zrq^hHY1*FS=Q6)z+WL~Ra{rIC{eMQ<#{Gh{J;b$}#cAd0#!G$En)|A{p z*xn4-0$=;HUfcK&_}W>hF$lJQ0NC!cHUlxY+#5TSYjAAiL9{Ic#uhl+Q1WGAGXls~ z@@)UhFx!FuG|cvA#J2AKd+Il{4-Y~WHI_Da*h(Ms1VjFab?dR%<3Ln4uS8GA*b=?o z+8LBTOYVv7^M}waAh(ir`^V62g5^3}8}V*spBd`}pMn|B$kWAc5myPM27O1uc>y`qFYsvdby4}ZLw{9irHf@^HoR}T4Ze6NR&5o)bm2*+bHtb6< zendSNi4#SvTV2%Ktb8778)G}h?WXr#B*o;qdOL$|zer5%=i+91;v)24KSKNN?(4*Db&r}1knLW)L~aA)w)|YYuK~G@7`L|~ZuS2y z#w`%HCBHImJA-liZvk!xaH3PV%>HAV)hC6~ z%g7sFUa9e1r*D(qWq(884#m)|Cqm!0YXEQagWd-7R-$l?TElhv_9yw)^WQ<=_W767 zx2Y~~gucB@=SGP}9+pXxKd0-X#Mr(O=$3am8x`CP-7e&gBY0B+HI?veW&oLjOsK1vs>+sM-&KF5}9$1)5wZV*UZKypFI z&2}`$BuThtScb1th!%C}9MsPJ3kjDFSBQyG z5e3%){%z?Ax@%&5Lc6vR1+9Y-keBy8w*b+-xISnbZkoBJg;ku(5AlwE9_p(_G z7-8i0a}5r|cThHYieaPSFW_`Ql{SW%NFM#fUP__m&U8h)r zQ+J@4jy^Zv^1n*eO%NT?pz4Awr&n$CY$w$}k-7;HQdgIsjc>wqFFB|48Gayj|1_i< z!jik2(uAH2h@M+gx*KUqP&9{rN$I|+Y`}DFg^tN6Z-Se#XIa`nA?%$q*a{2t8(Wuh zpzGe+)=jxi>zX86*WPg^bbkD;u&dPq4ykbhs0-9CNV`w7c9+Xml=3^auKFfhcMa{G zD0-uRY39D6Ud2S*T;(s|-FKqGbW@_(?Z42{%>dsXxM_td z_t%ncYEITol5Pajb+!aXw=)Gs_r6IfS?S@s)5IaD{AWcMoL$E4SR7?dnxQh@%F?}n zLVwQEZ5=by?HnN#KMmkt>xb+Nkh-gAbe5?9FBElSBvE%BS%jmA5 z=d;CRO>Lk2RzR`GBK{|&qBJla(hpz>Ho*xdqCG!obAGAX1BBVsdLnO*GRT3OS0T>!N#3xdZ^|| zI+Bj9W)&Cm5!t4OP?NyWF`>5*CjmiBzz{+SJ@gJC2?Rn5#h6g;^X@rv$(MWYch_Bi zx&Qj@rS)p|*=O&WciukpjJ!$n4xe+0`9C>kcf~?C_kZ)4-J&nVUs(Acj0qK|V1HrR zw7O~arv@`;?yBe_H_v;H{n;z6i55lvzkTHHqMc{%{!fnFeL$4ZQM>-hyI&Sn|96hu zHE`sv`rH0)WAVQ`UU%mKyn7wsPO17I9=5v(r|sgf-HQ)!7viwpq9T3LZb9*hi<(xf zX+M+KobY1K!<?v9_f`)|+MmAjv{>#J?aR61dKc6`Rf zg8Jf%;v21bRWtvWkKa`X9qi^CuNr%twW~shxbq6W3_lv5Tz@XBZ5cme_kVW6ZV67< zJxm|5t54Ydo3YG4VOJlp`^}+lX~zbPT0*GKaThR?vr*CXEB_WdnfY` z$E8DdUon(i;g%Z}@@RFy3b(R#Qq$ZOTLDj~uK$GH#lPbxjGxV0S%w2iN{ak{2OYF* zao=_J8TcDeoB89G`uz%brg0JNjyM5%<<@A`oT{1i_0tZjDxY6ByX8LPzjq8T9m4w< zZzw&3E!x3Oi&jjoD&PO`sc*0ulWKp%YW6?$+60{jTy+MMAFzfm>@oW%{B-jv9Nd4q zHR((?=QsS=%1I;J`1vTD)s)ZbEiaa*uu4(Ye4ewF;aK0a#QDC8?S8WFQFXf?>bv`K zzFyhH$?49Sm6M8apm1^io$8NCx5_`>_sgU!m+0etak{TQ+Bb8sZ|qk_nR8tbfAhTf zxTWFdvid|>4vOH_7uGz>YHMmv__?(S2hML}a`}X*yH5VC!YRLz;>zdoCo|sV2iDdW z-Rs=W4!hGlldalk=rVR()%elBRsPYx|L&aNe?1QPHAV*l<1k=Zn>h~nxOVqnjsxy4 z?KqjwyUY029zO;61@;qr5soblzG_~SIVQN^|34X6-7?p?P93_pv-jA%R;z&F+}2y? zIqUX2zKRY5UNU3R{x8`T6D$0Kf){6w2`;b4@xTqMYKw|GR^U9~PmMFo`h#~J5nNcP zPX=ymJoZL*4fhWOUQj{j1eb?PIzDIR$4%T2o42}9s>pxglwhg8zt(O1Kk%sF6ZzQY z7E>_w)CTwcvEOcV9X9shCU>(r)_uCW*igSX(|vU8q#x1c)6Q}m%&}je=dR^rlYZh} z#K#`Gz6P`G-rK9`<0otS;xbKN%Y6T>b9DP}4VwP_`#$BNg+3kS*$3+j#dm93IihJ@k)~7j z)^yglnjSKw=@D}@J?2wQJAS0;$`Vb7uGMs1r>6gLqNb-NG`(;yqN4$R<1zZeuRhWA zfxl?_*snExcCw~#cWL^r<_P~d^Wra0@UI&I-9aOmrQ5M%HO=*36fmmK)$QqA)4jKX zjs^lo_ey79Sl^!}NeKAfRXw(9oBwogqr zSJSe`HLacDzdv9$-mWi9{ZP}nb($vEYP#|WO;=y1>H46iqu*(IdR)_UrfT|A%}Mi$ z^K|=$?`gWFT+^*Zn%=ja#vcfn5C2VHcv8=i`COT9zwuK|Ki;hAXHRIl<8q%`uI`8x zyHB_C^Z=~lqjbAk3!gRdW8I#cr|H5LO_xRd_Xn)Qw6t2s->W}J|6J3NFEu@5ji%@Q zQPYcW({#%cP48Q;=^xL~^!25hzPHh*b|9r`?gUM%p3`*FsFr$r+BALP&JQ%bKcwlS zZJIv!rlzmF=ToQtG)-sUqvQt(Haj+|Fb*GB`v3ybv)mu4P#<2v2G?PyK!(?S*eYg|%mE`U5SU?#WN;_9c2m z?qzA+zWQWMZ``5jFD}&dcB$!BtwrwdwD7u54C(97Yw362)KlXAd&{A`ZN@{R@3aSH7(pv)2eed zt=H-pYSP~i&A3SGe`v0j;?NS!`p|Oy;?Pk)(qBxrYr2wY`XA+*Zq!o{IxC^uSNvMj zYqjkU{f6c^5C}asQ`4`s=?*ikCE?hpW@R{6&sli(zW$Bj1?OwJ>@`gf(jy2TooV+? z*Vorf)O3?(efU%@-Qk}+udiR4`TQC!#Nnq`>g#Xl4u?no?&%93_iFl;Hb9YhuHTLn z>K8`p*X#E5i#46=YPxVx)1$u8^mwgyk@P&>?$rh^vd+=%JLhWpdo9ePkw0p+i9C0l z{@~>mn!a(4rXT-G)6X(5*r7)n`Q|(Sdeqix7L6aI+lBf$(P}*v(Yg$sZ0gUaX(5cx zd7Rp#f#_+E=nsCRM-=_Bq1zWft?89FYI^l;n%=6XD0=tjy1gxP{eg#c`;n_PeNJ;C z`bwQ{|5?jY^u3dG`@;i4A%D?NwB?I_{bT=wn5XqMmLqgKUq2{TK3lhIf2!$(Uurt- zcufz;eD8bOaK-w*r?0Qpa~>PcwAX#AuWwwS^*?s*&H93RNz=>wG~K*R)2lNbxLHeo z>;Ww^vB$MVi#<0*-}mbMn!e?;HW2&spLF{@Z9ifk59{{lT6kk$o~89a_O+gZID5;# zAs%egG^&Lqe(3LY`*Qgy;fjwf)*o!uJ&teF(jNap3zsnTi$zGYP-Oqczh9K;ITiKa>h@G^NyXw{ z==Q!3XnLTQ8F8rJ42UB}%k>Ax?W1XT=0W|L8;8%<*VpTjh?6bdKJ5xk&(~8VEh>e|Y5K(Zn!c!6oXALj;+@0&>sd7yXxj3IrqeVBvgVBF z_Wn15LjJP8m(~}O6`FQDt!eiqn)YtdbWlrs)>^+A$Qs?Dub=v3P0#$bra#fXBy01* zx_z~lwyf(?x_xu4rd#1XN&d6$%e?TRzv>Sjdr{M8U?A`>>m_YCvfe4w?e`wl^wU+E zZl|Z?J6jy1X?Cfm`FhH;OWx7?pIxmDPj;Q2)9fke8UAI@(rT8y zRO^5CQAvIMSS@7PUDxP#Z(P$sJ?Gi$wK`{S+@P=jP1 z!ZTXxv){Z-x8K!spZ&>zZhx-5Vh%gqZ|9gNXqvBCpHr?mnNy{0eooV{{(SljP3N4W z>B2Hi7mse$zbxz3^dQ}#oWr8JebUXEo;s%K*%LH9ce$n)=(*0h;w#<0R&yxl<__Kd z`A;+*(?XfE?FQX`yhRrwFS*hU#LGH(L$TM{%*fLntRGE`hzo$()28$>G@h(b1%J9x3AYM z%e`%`Zr`mtn)|>)-F{4uDEGyF-G1#|P2WCQ(+{=n&;9ai-Tuz!&}bmf(E6Vj)E&u- z=@I6YPxo)ktG`RrRxKNO3og~|rCpjH@FPtReo50KwD9Gnv^M1RoTjf2Y9Y)!No!T! zS%=~}raSLkE%kXn)hy4uObb!omA}+qyd%@G-|C*{-QS|G|Grw&M>Oa19`DiZ=e2Fm zdo$DV_cG7lQKLW4sA;|x()ynt(sP$D^n>z?YW*AYEA@->n-0_Mna687?<`FhY7XQt zyH~dl)xIGAXsu@XZ6E3DYqVv}|G_rhKJye!F9~Y>&%b_)zHs|-J}t=C9VjT(YE@9D zr=(!&_x0zqb%zS}(Lz|T^h|yIU@heZhrg`b$G)xU>MJ!}qXU9CQ>$gcIg@q!{2MgAAk(o+wagU!OiO>k4Ug#0Z?iPLqg&Ih6E)o?HT^@T zgO7iv+kZS*OKrgmnU1`s=f2>t+8z|Vf4;u)BhBK1&*Hkh<5xZ{!$)5J|ndQUX>7nw@k-qlf zbbntte(y*P45r$X!>NwO^5s3LF&|G{SMPtKA0Nl zNw%kkFiolQ{+^E1;I6syXQZV(+1H^~A6%MKwzfOn-d&y?OqKWbuPtxy?;A?v{!~YK zPpT`~zFy6r9?Bd0!PZbd!=J5FcZa4MuIs8N?+)FfI`0jAz^1AD-ihS%Y4xi4`-!5l zA8rf19n>?q`N>cYr0@Tv{!Zj?a`pI=p^yK!`C9rv=Bs*ZQsgi-Z&OzE^pdAT_zB}D zf}iME$D!OTs<9E@kyfcnA00>O5i7Jtl_5YtQ!lc_E06QM0~a1LX(9Eud3!udz5hl|-FWXy#-_cQGlBa1 zzxu_~@kRXP;wKM3`S>ZoPa%Ga@X+F;TiF|m{j#`Ll`JZYsrMf(u2$tsJVz}k4DYAP z?wz=&mkqp8*2Tlc=!p2l+5_|m#3Y6 z-Z3TkDIGiSn6lYt@Yf@1_3GRjb=1s6kC$0vEB;=#&R_#7{%%9y*Zj>mNL3K;8CnSqnb;`^RO?AX~!aHR^y*%1W();~L5rQoB-Z z+fkNf9Yf!v_9XTGCuL2zxAq@pfAShVuiW!6ss9gl;`HuM%kWcwl;P&d+d5= zbL@0C;LL1np3>ad;;}2O$K4Bq0V~;+O!s;02J1QJ{9u5$HG7d$v#%=u27mIiy=8h^ zss)ewd1zZ=-sAYw&;1=K&)$%GXX%gKfZ363YxnrG`IlB-=Q7@(@=9;c-%?Za0X|Bt z8))(PDcRfeUU368o$WpSP#W<`UD>E-JR-K0o{s&${e!)2{p&n)Q~r*!yTbvaYY1bw zEO*Pqk1+q)<5jA--IvD+v*04-YG4f@j>{ksy_!=aHMBA zO>gjwH^MiTy%!AF{R64=P`}4EhtDaz3y&K}4!3uE=EGw2ktthUW{nIE^bdLL6z{&+ zSzf>!Om$A~O7`|9(dieWzpKJm_)xQFzv+DHJ>)T~r+;7|?Xl~!wik`L%o*wHNc9XS zy~GodzhqZ!#(0O*y(us2wb=W)#gDiFccgD*QH` z{nQO4Fu2~4;pA}tAUM^NZch(~*`3~%VnZm9+u7cg8dhSHMB>dhuy4bGP*=}Le;aI0mwgDSKHiiSy;r@>F(C}coZG>VXebb$xfZg0UqqSp-V85Mu z={`4y17=G@Z;N2x2G6hF;RK8+lbZ$q#5yH>5#(g*w8=9Cd)&Sw@>wuoB-@f=l>N!O zwD6)JvjzrI$w3kRQ}#zif5nGwJxRe{N&KYbACQ>#Ho%=k4TdH$duzRw$mwe?0;+@G(1a-;YfsRyPe{Z@^uy68julU$y zdHS+C^-r~8RCsqJ&MZDH1_?<{6~-I+&(z)phIaR_74~lu-&SmN1Hp9PaB8qKH7M9^ z@m~~uiC*=j1;1XrTz-KY2=%5gZ2UBJGzs=m{9Q`*c0g1P%0&!GJX>JEb9vAMVICHCa=94I@aEu9!&NOVY-Kf@zb2M%ON<gR|ZUA>$>;blked`6H7g;^?oIXLsh0nW8$)13?*KJUW-o;TR&zshLvMgRV{9^R!F!TDn6AD6 z|A(b4$dlQQh&|x^$x+THn9Pn8)C2k%V2|1_TBFxMp;7}w(D1&IH39a=;12r|FA(W$ z#~b?x*C*E`(>(#>p5PYes)#Qm0rs8qd;3=OKixMlGTaG66W}|XkL)Y)aIzCUP?Z4t zv-7q6Eo@64CUz**7ho?0zi?pJg2)<@y{X~B0K3h5(;YnvlMNXdT;)puIuc-8ob&D1 z+YTgXjQteE5@G7yP*^uv)lU9J*kcuzdO1$|0fV?NNFm@u8H4Y_}3uIgZb&l^mis< zI*C8Y;o7#wI@*U#J>{&NJlRDA}^nIzvy%)tUE_n!+ zGSw7g8?)XnzQ$uN3Cj?PN6fi3>w;V;5GIOvo?15yc^!@!kH%gpIuGW*C%LA7a45!A z-nOz^A_21t|6=Uz_}Mk@!%n0dlQH&)*idx#sLO)T?yfU)guFV^bLH6HFyz6pnO$tgJ zV^>(WSZ_iMhq}Soj{dfl$bWG8{lxEzp~fa@dCa&!{6g+UF7rl)hSS5oWsb4az4v18 z;^o6D(=qn5+*2y=h9HqgX@`!cI@^a+eM9|&G2`sSImNGf0dsAtrzbXQ+*NvQ-QyT# zdy~!H5j!fk!FY6nq5Xp`HhT$v;)@V-F_WnQC`y;@tKm8EKoFewos|ux-pC#c1!6-a z%qdu1baA93W&7IyRwxjJfg0-W@9A~egU)Bxg^_^Q2?OJ^ezeD7pRRcAV+iX zhh)C8K8kAJnQR*FZ)>_caVbzVFW8AzrFkrfUfNwU-8vfpO?DRvhWduXJu(;t?L zzX-5$pJesRTAJ-mI zMbF|CT$mO&S}E}3_=D@Mo`uVtnxWv>Z$7RSEHb0n=yIuBDLZlwPh_K%jBjXQn~qMob`Hz;YcG6lJ)qMTN(8mhTNA0vMZdeuqIfPM`ZLqZnoouz^AGPN+G25d1ZTvZSV{-E}SPGY;ZQ}j(eRm^z z-RhYR*Z}qgg&O;`R)&djnoowQ-utw6mW6L}Q#F59dq^3>7x9PVxY0tRHw+rIi{}x` zSfWYY`&sS1f}1vDY0ofB2EJ2w&i%ahdzjhbPGZ70pV!WqndCSfk$ICk5XAY$%X5Ft zo-n!Phh3PINQM_I801dIwGx|E-xsyR9z=zvo;j}i`xmt@(yTEWgk`BGw%1n+x zWh}<{OfVo)LL4NqsQ71XwmR^u+Df(dtJ(@<}4 zFZr4J@SnBEh0JkD!V!f>d|i8RxQzFyIxf#0BaJn+T zsogXqXhZfIrZnJ*;V`qu^9#;Qqooll!kLYk2BDd@IC|KKPB@-=;G5bsVuK_UGU;*C zQ}e#9Jzx}?#C+AtgW%D`qTS?W8@!r>T6N2~Nyf%A9L#L9=hzN68j_GWQN($F5`Doa zN%dTVwS$BV2E8*v44trypuQ)ZzsEh0I=Tm5V2UdFuC^=Arya?i<{8u4n`dC8;OS4l zt35OvFP~5jwFj50C#g@rt3B#~9()+%M*rZj7lLx~5u_+0&tPjH6`Y5LCO1uQLdMlJ zeJbR^G|c`Ux`X4dET@n%kmwke?-wCH!3%DaE5JeUZKMx(#UrYa$q5UGJ&%}{UgHI$ zF~b;1_IOqZwt$}G*qoh+2ZBc(oLwQ1Z7^B6bT>2Ff2bYG+c`hQKvbIHnKvCH-ZzAMkihj^+k?Dw{a7m7*4DsJ?j6?k?g%;nAWWj1{wuB zCAiVGSf7Un8di7zNLROKL@T(lHktNJvI#J&w$079bk_)`CaB*|FZY>GW)f=aVa^On zBzbnRVfp^j%d>)2K_k@&BO~{-_~-~Y&M+cOhk=>3`jS2Chds;5;=Bvu5p+20PcdiJ z-0bhg-0`|v+wC72($)sEgm(=iH}y(5A4bAxIVPJ5$uLY?XNjI?CrrzaK+%r|*Ye{~ zbj>uKq4n`z3ROKblnCKHrV~X z6|{I~rx$_;F)7jW!a0*o-iLw3gw50N3?zU(X-o>AZb7S@ISbVprrak=w$FlRAL<4Z z9rdCqtB#mv8v9_Z2x&a~fMwhm1j|{_=EgdRu!Rnojs1g|Lf2+|2sYV-s~Jjn^}#lP z7ya$H+qJ>ZUN4KYJc|zudv;N=I@pp`5jYLQM8rMpIT257v}8rJj63VnJ!#}OUZ`rK zy2Fx{ETUerB+LObq%yA1A zs4cc!9ySeb8Yv8eJC=$#vZ95V5zdEFG|{FxG`t@3ivfY}m}C=tdCrJLUWOPB_4k2W ze2e*4b%G-YvZ12jJ9LxO%r_t~DepV7ase}-wct3(J!15cA^HvK0r8|usXpIj8;H@p zDEeb`p;p7Q^SIreT$9E{ZW-#xpqy4-!TBP?mwoHNO?b`P6uxT&kx{}FpqJ{_pxi%< z0a6hMERIi9mMfdG9a2xoUpySkGC8SEUbb51%DP&Ju3>bHV7BqzU>b30Pk%QwDw=KC zy-8>VEK4k*lq;``9mxTwWV{ioKgNK9-`|tdWjq)vBAacLO(9DibigIZo@ge|Z&)y0 zFz-Q6-Q>w4k3&1D4G;aKCqJH%&3O$+r~uDVe>8;-l6X(Mw;iJXL(2^97FBx2 zw>Y+Ydq|cX&~Cugge<(U&s!Obtuu`FRF7x=h+P3I?*9!?D*_wXuA8~W%!&nuWRzcFf{n&GkL!_^zhU?WSdJN7ykqOorF_ zyY;1M8dOAL;TVGfL`+!)=>bP%ulhJ5E4_#|);0pf;;7tfNnXv~C6<%Qm=;k{TVR+2 zzCA3dGfax1sr!yU%{D@!E}yGLs(qDLx^f^7CCU+tt18ptRO`!W)CteuiOe&JDC1(L!Cpn z40<_cu!IZ}tC(!rItlZgo7vk27Di0NwkdNQfO&#Tg6AW13)|0Z$23sZ@KkGD3g)S& zek-#_5i3VbGURZe<#u@Y@|!B~P@s45MTb_txhBBzY9 z>_UqVQcQv1Cfz~L@qIGH!!(Cco$`cj7h2}v2sp({OAtWxK)4~W_!N9-g4rfZh7b2y z4w32`f$7IreSz5DGDm`>d7Icf%q9tkJF~UR$1I_usO}Lm)b552b4{v`Vrhd0mat72 z=fNS57Zp)E+c5G?9pD6uD}o%J+epmi9EH>ErXBmx<-x(e)ZoxCsoC4!$1VhtW)?c? zkZ<9hs~QrrP#`oz=V6t6PYge%RwU$N1XVD)sEDOK7i=^!>JBdq`*U|f&cg(L12SsG zO8rT83mH8lSilYB)ifi!S2X${O`%y9!i=<6u;5A7N<9H{a%Miv3gL@}VSQO?i4Bj5 zZXtX{c@bqcU$sqi173`5Q3t}Xd=8m1LJ3Aun3EF;;OaB5=^x;R2E=?97?-%}^(^G(fEpX4Y|PF<$zWHP%rH1_gQ22C|A!W%Y|(IiJ<5f8@&Q;tQDV zN4+iAv)9>dH<;`}eTEc+Ejd=Tm2v+MhJ zUJbARig`AQ^kgieqR`4%`*8kLW#`MOOsd)WvaG^&a^f_USgB)EWd&Bd*5C_mvnPqz z$k_i)^&k1Ne6%1|((Kx))S6_^h-Xf{ggHhU#y8;>)?|iVf4EKBfGEjET7ihpLKHGY zp2!NuDY{NU&_V{)^B{oW9Hq6cV`P>%z!KBwLB!>f)24#g2#PxBSJboy(@q;K41`xr zE|Akli!GxXVIdyP>gIB%eFWw!=}(7)p}-TdZ}Ed=olmU|R*hi}^+|lYzL^{J3xx;x z5bmsq#|QeUz??iWNvjVi3wx|AKj`ji!V=L;i(p>9G0siHD6UiQ7Rb_Q6=%r(*AK!) z^I1o#>_Rz-d!9P5P|hfZw>RA()Q?g6tfIYMJ7Jz% zsQywY505q*6-OW|MX|>-+MZTRi{yUULYTx_(}kQ<;mr46*B8n1!y;h=wX+Vq*+SOpt~N(Z-TV+mvjIXSY@ZYTxjjX`yxRjR01%DE;I z8wPhD3{uJgafg2N^uw&chMIkTfPt{WXz!=Vgi)r<&vGzD9bPEtsxyjZCH_!2>;QRj zF9@M0n-qh=L2z&S!99HZWNxGe;hd%%r(Q3X<$HyKB4l+Arc$e+rFn*fwIN?#xaAs_ z7Cx{MAqi^gUTY%fFo(hle!}Za%_xzL`(bL$G=}SyghCa}9_+%t4)CR>5(*5yA#y{# znO3+UdSPxM7C`1g{34rC#`)e57C)k2aH+bpM3(iya6{npEW6H+X|0BR{DC;0XBz7f zeX=_Uz|Ewu?~r~D%k&(y{U!$?atg73d}HuQC)>^h75Q04um^?A-X!FM z;);VxWx;{e8LKd8n$dOV}N(G2xs z*#=7!LlpXOC$4@_Da%+`&HJ#f)C3nQ)V4~QXHK@F`=}G1lEt{TZD+etbwQYtCg$E;+TD`DRqqW_L8Nd48w9wn1UocceF&I*m*31nB`Jt z^Sr%Pr<7O3j9|RIcP?d<=CU~)LPDo$S*hgk2z)Z$&Z#~^ z(SW~B=S56Y4b;iXQKT2nc7%+m{Cn2lEhJD_Y3su}5V_TGo~M0zp}{9bJqmp@e$i|0 zN(9GOsXZ&6mk9bh^vK0ULfKjVQio?2Oma+}Qw0UWLc}Nrs=26gP>@HCtd{3A2T@Z7 z3nA<#9GIWQ8OCEMKeW&yl;_@WU!x|~%Yq5Vn09y2^ePJw(0KAY0+IQG4(?!)-Vl3KcNfsHedlsQO8= zcJvg;z_l!BBzqvOzeQB<@F7gGm1Wo+5JGquq;!bJp>Ew+K}E$f+cd~|L3$j6uD}Gs z<3OH}-B7$c!SnVbmsE7;df5N_Kfp zIHam4OF3G>m^4ukD4X0|Lwh>f;NV<@GxkU`D*Y`8lES|Ihkyiep%p(!K`9eOc4Q&i zY1J-*E<$K9jaimm4uPYc0Uobzu|i$lsAlSo8c0(-zYksL1Iw-ts;4H)`BmFZ#=inr z5ypLFZGsfS^Mf&-QRz5ODE|HA375%2geH6#(M@Z0MI_9WmFIvfUrUCAccrc&_M``$=e{+AuI)U zcbj;Dp;}wy2}R^Vu%rZ`H+X7|7e*Fjtfu;~C|0+%$O2UT9%+#WB{nlBd>x*GEeGJ; zgZzS^nlMEkcp$eR;AwP&W^@{+5~&DA1*aq$}3G;T(3&?>Rkq5S*?HVR zEJVeeiO?wYgGRRs$u$T)5R(ViARxg-RHrGZv~YYP1(88@QLAifHo`#*=^@28C|tsw z;+v?S!t{cpNVyOr)7+t$fanP8B$nFIDrb*E9N_#Zk!KFFi$OmL$6Ln}N`$qTe@r{g z2GuuoLPxa*n8#YnoMc&g`xBcw!?LhX16`odiRvH=OcSNR6a+qX8lTOP_?WLELxnZ-qF(KIQ+OVu|`=9Y!aiXkjrUQupQg#{tozoupwc|C;) zo7hK8T{BJY9pRxc1~~{(0u$87(_|4XJX(ftcJZXV>9Rb(!m_HY%v}>FQ>_JoC>X5{ znl4L5qlOuTQ{g#9nHmKI0tp>N0!uU)>kusu*$xUsJw4zF1?66PDBXs=>H~;w!jx?eN0+0EHOqlU3ZZ@x={dFW~+KY&o2q3A7V$f_(@3#yf5SynDADI~8jPaQWy zN*q6Y>I^wiP{kOsXOGLCr=FZ43uhGvAeS@Cs|TpE8#!qU=6}*ERCV*u!*n;ULOl-w zC&U`d!K7snRos9+v)r@Qq?vMB$ge{&aU;a zgi3bX2*OA~DNv1nXr`3$Qmb(W)*F+0XW;CO>f4#}XT>38z9e=IG#5j+ohSv!6sd=T z>UVp|ntk@w=E=yeGVIQFEL5P{fPVTVFB?{24QY~Zp($$Z^h;DG?Ft&kW;WzyC{#_D zg_Q?0jEYUVtuK8d41%SOnkAd}<->T9i^UGqD73*wlmv0N+tX{(NRCh{^>l8;tZeSC zOSkvy`lMmN!jPTC5(l^kZGCx`+{h}_v9o3CfeuWiF*F_g3t`P=CTu;Gh=#o-hH<~z#o%O?QA|SRA66NMu&UQ*%UL0a54_JRIH{?sVGiu)3blBS zJYWT;Z$WEy1B6M(J;p^V|^Ff%<{S zG3`!B6ihA_SWIJp(jo|uzckBDXbb{u7yxw1$PKzYI*5lOne88J8%aZem>pIt_m;Dl zpx%$^!p2mrLs)DzX}S^YMj|_$Zclpo1}}pdhgEH?ny`-rVweJR*zgCt$pVQKC+WcmUdS@;o_EXATWfU;^ntLjb%ABt%JmVhPi1>xa6VjumuwrDe>6nSzX= zjAI1#-WDp~#nF?s6pS%GfXx)J850)EeL`=ddl>3h>}gkRSS%;VNb?NKgS7T!N(($Y z;XslRAO(p97Sy{RwFmX*#d1msZQUTvg9$?sH;qMb>~_iad4eQ$>Jr&h2x~!AC5!=f z%wG~_ybCJh2GwaxWMvtu8qDZL#DNHfL9M4n!~1Xx^L}h!? zLiN!SIhG?in{0-_&c3dp^$4l4?_&B=wRNdnoc%VpL&)}Niy6fbm_*|um9tD%NAfMR z%ra6P(8{VwYVk7JG_5omskK7%s-1g)Ce&L7_I6_55g3JhiG}eS3RIk0ekC;0slACp^y9q zY^FWXGBBkVApi?e!r zqc9sT9=Kw_k3?AcO?bvsN~#$`Ya^V;_zG-i3zn--_LEDilxbRP(;ZakBg=|)&{+sF zO$Up&{_395|3`J~{&Ir@WBC^0mn{i}CkP50KZg zW7Ovd$i+FcOnYPv`DkDLNc));QOggMRltrx+y?!Wxq|arq${*nqp?B#=s?-K0ETM_ z@(-OS|63G^HXwjSyXi>m3H5jcF*n8IFbPSr9#AJ*cZr*3jxH*)f*iHiK~hHYY_kEu ze-hC^^O)*8NUjvv%VY(2YOxs&tG^v2OD17eyqru9t8O$xwEvb02DI#gsmB%-$VuFB z@@a<#FD_Mcm&-$F(am4ML3#6%<#GW9IeN7|BGkLfWdkHHMyqfTKUI3Lte-+@os;fG zRi2C=CKh=>nwEGFP2xVX_OyV?!g%zWB=~_Zo_w%u$n%_o4HGd5wB-1Wh=Qryh+slJ zc(ANpRA=z%HdLv95LFR>?I*JL@qR~80MZE$wj{yKV!a8KB*Y!86ieWU)v<8`+da}= zFe^(nA0i8u+9PeK7h#&95xfT;l>VV013zjQK03qkbqVEtl!n)1OJ809mgQOu;C^(z zp%*#qJN)s8y7&-TAAyc9;=BQt>mY1*d-4#JK`7R6(yLomuAV|(%I5a!meo^MlfdJV zEnX#Ob4a|+#dn~M%N|M!aFF!Ac9azGk_44Eu~B|-1Y%0q1_~8pS>#|D$~im*M~jUe z6eGf`Pz3_t<~)hQ1Xr65m8)1teR!xmML5T>U}JZ(7yFQLPutf_oq3p?*J=*+fc5w) z9E?9pYb_6hC-DwnkNP$~36-)J<#o7@s=q za9K0Sp4>9MW%@Mgm5HzxuYuYjtb<3xz77~83(Mn#dx0HJsNWtg3*t9IN^gfwOim*5 zy3G1y?5~H*D~)PmirGbLPJXV7hzA0LwSJg1s0K8IXO*ZMkCL^s4F~QD`$G_dQ%sQR z#g+mGz89`Mgc0=V!%(V@1rVUX5F4e<0^DCiov*MjKNz5CHK3y0;;A=|mP?jmg0Y=~7AJFUyU1UqE~`X6 z6*dPCM6iO1!-#_;ZF;*m1+WNNhP`Hk@5QmtFO3Y1FFsuL9V5HK(+p!3MT%_QIfnZ7 z7+E1OP1de7BPe@UgNgRE_MM+=)GP zZ}qcd<;f5l)pVT98?}bhL$r~k8mn1;GJq%utjF{cH@jwmRPfbWB`e1Q*23QExJ^j?fLdZd784^rvj`wxp)#GHLTQbiy zflcZ2)ck4nxhm&)*?Anc`JnQe@}4qEimrhCVsAa_1D`wh1r1U%8ZmU51j2U|$ONzq zK~^F=*S0b{J3{%kjZHjs*`%!zKEwvVhJ z$zw@Nu`Ex4o9Q6#1fQ`cXmmkQ=Qug*DW3_S#-36=C&=o($jQ)a4P-B7ryo9<$gkk6 z5dBiTX@X#PABwxU*pMil=J53`h(-@ke>g!d429er#3~5X6M3p2DL3&*R9&8wC{V3c zze~#F6NQG^gtg@Uq4falLDO3=R8!hyMJOw~2n8>cmdb0@iZ%)7KzmxP+Uc<4Sg~=D zvW^Vm{Wi8M40sisqXLQeWzK5#dYi7gy0%Pwd7cXEGre zY(cbu@My1DzIv%9QI~6a#_~7Rk?nHosMoZ}K?l5?Y8&P)E4!lFG1?&1@wzGH9zF)HK)@$ zY!uwlArI$S`D%Ge)+UVVCS$kooyx^$q~ydf z-ioEc)d=g1kh&Ll?pI*&66|Ke+CoL+_%35eGrR@B`J}Mi)GG_5!(Cl|i3DA-P^O^W z24om})>HinN4Or*DS=qkl5a+1Y6IGnQG_#14TMZgs|p5pM$x9+*T5`hJJEVGQ!8{P ztyE8T%8BHa&0Pyf*d3Lr54gEDM>PSRZVvh?V@_QgL{*Elhc<=TNT5f65cPM4fw_2$ zO_hdrNOmO8*!9Tl?4k)|CZmnrCOY939cE$+YP%Q9p3cJq%drDVSJ=pImM%u9f%wR> zk;YTy)C>Af#SA09gXJGWAqIBM{|%h>;}Z%iunn2;Jmd@2%U!av2tg0FoIyFhfHV9d zY*4zL7O42Q)>$gATkg{|1Ac;80Q->z>3s%kJoFnl=x^0vLgn2+ZPzoD<9zdAR99*svFz!VJ5- z%ES(b%!+H!R*O^={B1@)TI|RnPaxg=MEhN%0NH0^+h1L_Jbzjk_3Ld$5|> zD`gZb7zn%l#Dj?f)z^z%O4zK_D+}g_YbcNKy@_S|!$&qo_8xT#T5<+w;0*g{2RRuQ z1a)|r<*$QwA`{hI{+C1IKS8wf8 zmtTcxi2I2??cSr^YPJ!8NY!vQ*DtoQB{!(SetA+XghAOFjRr3}S$*3tmsMjz9HZZ_ z5@Al@p~Eh=-tGdlQh(K|0a=6boj)M6vQSlk4nn+X(;&*DqvoxaIWr;cX$=@54BYRgGb|bfX2tw->Pn%x@yMQWh{Y;Zn zj0H%PHH7dJQ-=bQAI2j_C~(Za5yZl*q);V>@mgS4XfCs>0UGfAJ)v!#2vWL-+3wRJz98!!r16z;zhkes|KW5149`@sF z=p9POv|`N;gTF!b5vCO33E<;Bos@WPH)C;ZKjVX|yaL(~72l%EOq+r`eP0<`H>) zc!FUp_u)qTsDG;C*T}ugIO2f(>WWH|C#!Zr0J>5i$<;R*N57^XTO()Y1>qN>d|gTG?9@98YYb+p(W=yBUa9C)?TvQ)|+GQZf`~*nKg!ZLQoI9J^qH++rGu z!PHp$sd6w8q+NITMvj{Qawuo7$aa%9YTyDU1uV%lcD?|&XD*pjn;M(=&Zho;ZfNHP z8~B`6so^|&wL0=5c~WKOO{__5ri*)kBL%>b-m9|0eeeo>gbC zb$A%;4-o$l5L=&-f#=|NjiAKGTwQj#Jfw;q4g@8hjTjpUN_r^@0s@IWuA>PArMLpy z#DSm`$nXe3iEpd9SIRvRlmZCKvy0UoSIV-9I}w!lqnTKI?-dyYrQlO;16P`bMoe;yyvtI-Yo(8p^l$#m`tp zUvu@`^^%a0Fn~>9J*K>w=9a6|ZjeAmUajhGlsl1;7+Of3cca{ej1+{7{NP5pJ2Dd2 zeyHZ&BzHqb3WPr6$VeKckBp>Wu)UB7sRs-uAtMD=(A2j#$#hPDCB^65^gcFytCbY| zPV0Pi%FXh?eaKh>BPm!OL<^&WoTK|0jHIyY_C*~D7)hZql42YqDKZ#I(xTE^WG+x8 zEh2-7L>KebzPHFxU>}d!iG9SQ4fWD3lCX~xee9z^(NfL0RRa5n4>k4?%8VFg1Sfm= z*hgRCcgH?rmJvl0_K^mwv5&ZE9Qz2N2&&I+-3|OGfCp47eoo*=L0JdDk76ABD6A05 z>+~oD-Rwj>5rglbSaNf;@_7$$>uP5jLk{9P%g-)+23A z3c#X~cZ%dV*TV$hDcru1;V=plh4#A#bCvyiOABk`V{Rl2QYRWIMUuqZnQH-M>VKy}S z5xRygFob>-gnnd0V!*Uc#(N=P7qgqdRoXQTO91`=2MJS;;=o9+7{@^hyQl=4HAGej z+ZF9q>#>s)vsZ!**Zq)9+Mu&KpN2upZ0+5GD%d_)QV>}3gJ13emJ}f@YgPVAR+dIg ztFdhjj=X^&Vg)#vk;wjZ2Pv{@`<0x#8-h{*LHT7+{o+@<5R`&tm#O!DwG%-p2tir> z>)jBPFlx5i@M~FtWeEhBLn)Fbji3bQV0+WhUzDiZ#U2Ps0R-hYhI;nbvOgP&?n5Zy zfMM?^x1!0_@wdy$r8fa@^8)&g1B!4)#f?RcuTi5^o3wn}IIu??YKvI5QWi)njt++TURa!zsbuVrM}I z$>gyBc!ix-*T66}!ZVDquPycbn4F%72g3xq6dH6Xf-tRRcVcQZz7iv_)lqluj;|D~ z{#a~PAd88VR%Gy%;@{va@%NRjU#pFG0bkjH#2gR^HmND}_~pg<-;1 ziVVIIg%njh>XK11;Hrg-LibTC_*|&$EpCM7Yl;JEZhjg4<_sc zR>Er$u+kqo0V{o{b;{k+2UgyA_byq6Te)le5B|HNGD=Dm? zSlr*oI+c_`11m+j@Hv8;4lpWi}v|V0C01Vkt5ZOW}pf@#Z+r+S&=RB-^hpyhl!{$v`Y= z3TU|!&q2W*UYfQ&!kS_j0$aR4yhoOfYAB@`hf>19;NKv24~PtuQm{?f4oy%>a-IaG zB#pI9I-JcP6{=4d7AhXJ4U^mzjba>6DR@yawRhnuMX3Aj=9As-S7b;hQ|fGlrwRo{L88DuF4 zWO@00yFivunQ@RM{0IC_j~_P@$P!ter>?$#7sygz)k5!yMQn${2S6Ksh++94OMuw9 z53&@|g^LJeDKa2SkpWqfaE^m4aSDyO6J$xl^FfwmaS3E8b^}=o0$Dzyj`^LOJST&y z6uVHBVkfFnu%;&XYOsAARVjd~te`!Abc|ljJoV7;q{Q+HSco}-;~{{h*bQJQ0I>W9 z>!GwUO;k9+48T&b#)%n#CFug0MX0oz_5ezklhnEgb^$B}0G99U4zLt#$qIGn0{~b) zJ`S)HQLAtqN-5mpeO2x6{{>(v!t1}?39uBq0G61#Y3i)sV~s~bdZ~;HSB7V4B&IOp z(<3;K1G}GvMqWabcOoxE?M~#SF!uiwv%T>Z+0<0wI3mWUO-J5cY!OhSUF?p@6z0^+ zG$vCd+@cyRU(bSG8}&yJC=*6OgE9ru0>orZn@TSgqP?kkA z*vpLatJ@#k9eOEP-8}AOpqC_*fL=nqGtf)1JM>am^({X15;{jqgW}&qFU6kFOG@fV z26l&D;#%86-Fm9$~9VkH~Ut+CT6SSu~>_j&~QzQkWT(C0M=_Wl1@`-XB2| zL3tR|N?rBHPLw71f<3f;mZnjb(7_DK62CzQfU>07F@2k75&ED*5Xv(8huu(?B7?FN z8f6J}^|OneC`-Yn9Irb5um{Q#iFLj)j}o{&xX{|;U$ z*s(V#^@J=HfKf)rVUz+e%D2^nPwWn(B-^caJTVTVgzfZUl)@CX8b*2Bld^fio-j&b zlsD}GqeRRYH*IW8>uT(U%7ucYTL_D2`8nB6$V;K|m1ST^g%QCC0@w)($N>S5p#>;@ zq{KMjvXt*Tpf)}w32yn9r+m0&d{4Ng;B#*QztduOxTOHx@W2`jQlu4zxa;Cb_ucv@zw@1B)E+#P3$ z(n3PrM>xxypWB7A6y~x8SOy~1%-}42AqUP9f`J04kF!KfY^u+mla(uhvqW9q$61Ph z!C4~q&)_V@zv3)~*PPykvlLc5e;3YDL_#?lXDQ5r$r@(~V<*&x=Ve}X231L#s!^5j zAG@I{1yGeYsV&d%fvObNx*v?AD#f0tN}QR`?o!`84^-uRweJh^Og2kB_kx@^B??f2 z23I2CFR*Y1V`iTdVtE7Gp4l8gWV1SS@`~mQegwfi2=9STj)#yeJPYBxoi0 z`3B1^y$B|{&Bs^@elI^wz51do8wXhmcIc7HerX(JDG=tXLtok*WQnTtPLSo5FUdVY zmJoU*AvlhA9At?&ZX9IkyN-!3{|m@cu%(Bo?w94PT_8&o(omZs*N>UTiNo*)>fV?4 z1X&7zEZ_A(mY9Q`AWKT`c7ZHW8r2|65*;68NhT0mSs{)ZWGNyZFiie=%vGZ4o~yj-z|0UvBcOr|_B)p3~R)C{B&Ua(Z1`|6&MNbJLaI-TA-w<`O-Z>#|VgjE*VI!PyK$Y!Sl1RNsb zK8!OeSTiWXFghTP18(%-4kL@AD7b-+Yy!#}5Rp~=J*Vou_jX7B`8l7@H0i$gU1~XX z>eP9@C+(q0v2bN*k}pU0!QYIBCZ!<=1QWW!$;NJRx+>5l&6KxYkCbLDFMc?%wAGxY z1Zt*B5M8dv2H9hiZaJeJ6KpchtlHdWCDA;5i?)hgzVldZ1W5FiH;>oFj7(TE`ev8Y+4;mY6(*Khm?yu6R{MAJp_$%K9 zn;d$)q*uv$>bItXO-iKLW0P?-V;PBG(mI@Av&RCPWF@_L?TSy+N*o8KzZ^VffABbI zre%II4rVM64+oPXaa4H@cV%3v-TaaT_W~M+ANcByVZ$!jL!KzjEtdI7?v}Ry@I+}+ z8yQg&;(m!UgFEq;gqw`B2f~lp|9YadstQgrh|1t3qlR}CB_3W52V*k<18z3tq81LE zbP)uM-#BnGu7Z=a6#vK0@~{M)jDw+nWat7;N{BQ8C&k~5)(4zmcyLnuMPlu{;wm`F z?Fl1za1uX*HyIvf)s~4zdotM4Sr`o|nZuz_)_&!;;FK#pP8laSWqdGB8K*kHsefB4 zkf2>Cr1ZS_cITtPC~r|~}tNF_+7oLW_oOeW?8Br^udZ221|GY;C$x0gRvYB{M4 zVah@Rgy{mBp25UK5INWr--bc?1fhJqq=qNc4`i!2W?aTGL;N-p!a3}nUvWWN4%>1-gX3s|!FA2AWfUvg5f9Df;m{*ov-85>M0 zaGsCAN@VKE5|whG9JfYGQcs_diRZm-9x)Q^vX427B|fr4<8= z1bX{|7@m?iqr@>;=616b2TM~_2C#4@fRmT?8K zj6p1~oQPQBvgYh9&y`v?dZdyj6r>WTE(|_RGtQVVfV1BP!!y$!G1H=c`0zoL+u}0C_SVJW)wou?~>ABxkmcsFZ^Z zM^w5Vg{X`t5S6hfD%q8^mWfI^YH>uRbg3gMnPDt$yLmV|f&u+^h)UkMXcxawT3IX; zmCW(1z3hcjN7wAW8NyD+El0mEVJC@c8^=z{PS)Peha?CXaG(;hcw)jCjP~glD(ocw zEGd$(lUy`yH@sM8C&f-lJc6JC_ShStaqJ}Hdy0MGMUo{8cHltiNJmRDq?zFtds_r8 z84E4>kpqsFbW0)~V1IF-G;mg#mW(et`lKo?8AD6HSfM53d)|I)l1Y|sn*~1^SNKUPOoUf(!p;FA&sydu zX=2W7M(J%L6^@^jxV7+;#P~8Kmd6!-l4fEe?A$9Kg`aeBXcn8}j|Kl>zy5NCpJcE`_VJgi{A3)gK2&;%HxzyntHkEq@sn|+=Gl%vRQSm_ zA{;Z0pJWKxQ~xlIpJZ@l?KOWWogS>Uul%93xPnpgWb^EzS1K4Kl2a$Q)DCIFR^&;U^BXnKH3tV^AJ`<2pB9;l1~Du11~ z8~*5k%4Oq$N)9Po04jN40V?IW0V;9k>{tE>P`O@CdT|x1KqZMWEv}L9X;QD2`sUvs zs)m;sb6eu@i>Ze(uP&^Cxe?IPc?tqr5*%UNY{f67yxMuMmU@pagO;%eE#ocqb(bZe zW!(6&;A=rCTgkbOb2B!GHhEkd_u{G!$MYx8b_`}59&wbt@72G@V8+psqpkhZ-!hm~ zJBhBhFaN33({@rieSsVUDEHe(KPfrV$ zDJS59WwIm-N)|J!9hMmjmT6zBV3~yJ@R(R^qlPK=hp$zzOqtm@AGUJ{w;WFcB_H29M+Z8S|_FQH>rA|36 zGtSOE11>Z6T&DLB2E{7jhl>|p;WA_4G6()Vp398GdH-Y2_;cy}Q;1Aexy%^i4J`wb zbKRj_e$Vhmn90#$W=ERy#qH?I2R#!w%{UsEN45>)GT}61;WT^yQsFekQ?{4=r9_%_ zu~8257=AYVYsoa=wpOrAw|89eSI8)bV2Zn9xBgWS%v^$C#?d+N$LE*eq#&3#|Ftyj zaD6a>8P}~jR}f5MLxNz^CJX~Cbs53rn9U)Wl5Q`KY1q_sb+hg+1DMVR0ASLQ{EwA` zW!C|i3@0~h5&)AWMgYwCb4-RiS?>TaV*t#b)m?psuJV_0u;I1v>f80Swd`vu_$AL& z!7pV}iEq*C@yj^DFR`0~U%Furei`TOtU$MQJJ=Fesv!WjWXT~x4~LNE1-6vW+Mz&? za5DK&px-xvvW$a`e?>_y)CpxN-(el3dAPqf9O9(795He6#H2HSBT1YQ%JM*{tCXcX zi*%HwxL2OCbOV2NqzB%SP?qvIP?qj69xo!HEXB5zDNBrVQ$|24hu%q-$^myyHjZ23 zao}a_z{{URdOUbZ8?w3Gi;-gRO0tUwFX_%s`-!X;@DfQ60WUd`=8XU^c?K5kT^Gh> z@Di077OsQ9OJb!B_EoO1g%5l1QYHdWtisOh?gGtmORV4#wmK5*SnZ zSK{PV7&8tXjEO|-1Q?Ut$V2SqIo&ih^!%laI^i$l3V+GtG}_y9`m|2^*z=ZgYbGbW zB}ZHR#8pZ0!qc>~^LmP!S4Au1@W|8b>3Lm2E92net0VjSygmr6j0LT1FX$>-DP1Sm z_YXq@($WsCl@bh`o~U)*TiGg!gf(Q&$G4To&|s`=h}v5{Y4a({4D8 z&?;g)y2)`D{F2nk87|ht!BgPz%lL2b%Q#%Oxq@F34Xfgpac0JbGJY9*{8GXlf?vu| zic$^2Uoy_g7$jLhCdb{ix-Xo%);?FOuPCFIR41#VmSjw29}?8kw*c{d83KY@#%0tp zuA-K>Efv%f=dg@g@~&<6*F`O;WmrWmV^GWc?D=(i;p7Tx8IMCP6WxU zjv^yLC@ex`2~rss+gpTfjMH(eM=IkoQt1aKC_r36DmfINDXG(J7eM*r#$vJ05tZcg zoE?f^?}$qLH6bcxKTJrE$mptCk5tAWmA|m(*6RvViC>u@mE28`N*N#^mHbPPO37gt z&v#~HmqRLXP>-|Us@D~yGERd&6_p05RQ6w#c1Y!IN*|0=#^J($wbL4O1*wb$sXVDc zd!#Z>kV=kEJyI$A9odPqY6?;r2dnnk2O9Lu*)y~GqnuBF!WWr3f>g#+ic|YQD&tIv zI#I)M8L5mxD(#F|cM?xKCe~$?l6-tYDdVQ*UXN172}&7zlrkKKVj6*3I%Jo5T1bx!MNv@zp*^hHVkDlj6Hf8 zH#ROAhhE01(s~H6cpQ2eXJ=ht?`+mH*iel_FNq0e>|dI7+y2y|eFHj4OKExMhlm4_fR-}Z?T=b?6|{^efR-_!bR0+`d#Zy$OU_0nC!i${ zEubYo#)Fo$VRjs7Ne2jMDW8=v1Ah!9WKZb8zA;IU2Q9s4*ru1v+%A(gm9C>^1F=B1 z3~9$Xin*qdc1Y;l5ttktA8)T~(y+KFE4SZ}UzCHRz@LKRo0)NAC;q#fh z>d-@ti}lTNE>b`g+hLlxcO2gB6q_a@g7j6>Bq6}!LOzca9w{3cRi6%barRVXyD2HW zKDI1z8p%?S?&1c;Q__vwn7)KI_T6AFnXEe}VxElWW_#;oUBNuXIdO?t9`oey4)c_x z=kb_loaydQl`&7EL|NO=t``n))S05_PthGoJ1Gltd-6Bro*!A& zTIf$1Nzk9-)2(zqOmM_!?buX3f&OISpJNZ})K&VEIF}2$A54GB2+43{w0IPhH??7xo>L`3Wp>)tU3%4VI9-xz$+o!s8{}Oi|!*Kr_GE{OuJsB#GFOWZhZ$<^H zUz&1uYrFL!prH8#1&y=)C0RX4CU(}CH0o=+^#l|&?pS>20F#n{vsoo5s6;;#6qE^# z2@@U#-zGspNgD33r}gMLhdUIM$fid@@i`p|DqWxTD5#8+5Sb!8R2jDnU#=#5IcWwO zmzTB=_UKZT6lI%#g3b2o>4((`D#{+PM^I5W7v=mh^s}90DB1ZWs3>z!P|>7O@s76f zML|VJdv$_}GJsMJ6(y05iA3b6jEcsK7cNXt(YS(&#z(g`J5)5z4Gv)@I2cP%Q7*&; z!i?Zqfr>IdFeieF@{2MmDz8U8X?r{acncIppwT!u@ljUdeus}rj|YN}axzQTgO8HqE%+!&!VPJ6$<(A7Id30Gdy7EL?dSV+ zQ$m%>9?#z0rzcRQaqvL!ppEgTS0y;`u+xUIjp7pxS2ZXH-@Z0gz^ zRvJfVK4Rw&=)a4V66t8P?;X%Pvf&_=d85o&Zkje(Cyze1ah5(N6(KG@cF#P$X7U)C z>6`q&uic=pYZNgG;$AgDF*kPPMz#WV%tBx?YW39+Rv5c*vtAk$X+sHb^RXbXUmwz! z7Y|K^CtwRNs>z*mqFuK|UsFFRn`R%ztbMrqA#7!Iss-=!xd?`8d{WEVm0)a z)Do*{G>06@))zpyACiRMH(2g5>`vU!M0S9wz zaivBtPTKW5^!!}6WK(nNv0v@bzYG~WBSV|G7n6d5A~kU^cKdF$;>-CheEf?#O zZ^N73t^XLP>4n^aM4-GTy<*|m7cSHP85B{cc7;}JB+YZ{d-S~xeNm`WNC1eY1|>(e zU30l!Tz5toobQyl>F^z6@4Z}4N%s>~kzOg(A>uW(wWc{nqCXg^Il8NLdnQ7gwkEvP zj@|JA{alEiIU77DF)B}Kzy4u;Pwk>i`Uv+HCmuU?=c}_bSshsl^SQC`CbkasBVoXHbZ~1;a8>Z0z%Ks0{&HP3nT0}% z8rQJPwy%C(f2X)2u3IYvd`)KkA@;jB>-QDT@@P4UfA;t<=mV|S)5jkfS8rB%r26Fl z(p97y1u<^%MLiy=RvxK-;)~iL)sy~PFRRv@RUp;&tXp)ui2i_2E00er!KW$YLj7UK zPs?>ZKkfc2xPXK!rV8GSg8cmUExOE4E8(Y~zeRu6+FNynpH`lq=3$0r2VJ_ zpjIBBR+3dW`c+*8sCm$oz45CWfSUJ8*%!a6D*&|;fco68>F>&tO~`@joGhmoxLeP? zO?!Y^-t;rK>7|ng!{Fb8pja(4JGfmrgxVgsO}Erl7-nfc+cu^zO_*uQ1{CbIW4g>t zbNRI0|3BI>)9%COc0G4pQdxH5^(Ru(s!C0ht6HU|d3i@oqcc&k*Wa$E)JYmqYWDoi z)E!SZjNN;?P5^2p0QC!B*Q@NjZ)gutpZX152B>Lz2T;4Ak@==}0QF7Z)D?i5=B>32 z-_lipS_weC<6C+>K+W$yY`^_2Jr1B&l2nnDmX%j_0JZ!F0JZ#(p2Uq1fLaMaec89Q z1E|$_fLb|#I`tjBp$t$f4^YeVaxRXy7WT`CuK?7_1JqL0fg_l~`6>aZWg1=g9qj;W zl>pQ{Vw=71JNm-O6b0j~Vh*34du&*)BFjA@d**lbo??R{Dhk1yZT&c9ZIuD z${u-#?ph_oa*vXXpF*{IEQ7W-$_hbEB_4Up3$mO^z z!KmlnspqFhMbmYsmw^878>%wL%G zo28h1CKn+Og(Z|0%W+~Rw=c-I*~Zux@6?OZyJ&|xyZ(Q5cY;}~GG@(p9A+(-wIBFj zZT8b7f?4}#0kf9>0JD~7B@IPYF>6(vdVH2cRh4R(lm|VQ8wzN)bz~5O0#Cz+m0Gik zun6neAkF8IP)HO=Nm-wGZ64w>jUBe_ET@i!_jSW zZLAFY6`sQ}+WdtOF9Cd-LYzmj)i{qR^zdT=|8k7Bs!er}2Y~|Qh|0Ij$7ezuco+7h*#^pshThtvsNey1=zlmC=^YMXyZeMqqz+ zkDfm>O|0HMPDnfvW@`tR#?<3McXLF}RL>q;qGB_Q^7-`6PeyHd7FK$W;tVXzljvCTKlda>*Xs@m#d`%iw#)*?JCvSi66gNWwKaM z*SI2XxKo`Uh8IV9bUx9ga`RbeZoBp;x?{O4tr-eMVHH`z^ZD$sFYPBiUmHm0vW;{L zMNuXzWqJLDdHm1(M4!Brj}hD*md=-;A-y3++t&zCbY!`Ru5yrfT1sVMGQhme1A3#F zE*XFMh6b?}X@VS%^+uB(31&C8aENYuKm&U#fxR0Z)CU#QRTbEqTRYer1UT$-i?qPr z=RK%O)L!N-4uzWeUY?ZWzVpZdby8=aa&^(nOTjO-pIrJC(@bQ86u@~QN$owAhVirunUM|H*IQSgieMwb_2dNFwD3)ht5 z%VblTTC zFXBb;RrE}0d7h=dsY^ypDsGf^$pGDCAEMF`c6Zf7nzX{up7oIKL?)2Z<$N#8mNJgo)+l9Fi^r!XEvw zK8d=&Y*YkEmp6t=&(o@cq<{TkmVCycOi@-a`}V_nTf(Me8H7#8RCzXCT5tlJt}1N0 z8po!qB5XR&_&$X`wQK2OZJ3pEz=I?EWPoG}F07rHCy?&&5;ww#8O!biiea)+_LJ(zAWoz2-yYm_B|=N_lNz12nW+-7CvBf2Nh_MAubF((q^bJKuW z8PCjPL9ol?%Mtt@^&&rCp+QJhP~o-VTkHfGOYj9*A=+iEU}T;3!=i`{VjCYls+Vv& zyy8*4hERJ{;2T^4&2Ys@>tqVKy9WxV8fzcbvt}KGjB8#T?D-dcGFVwFs?gLCc7|cy zxiatPg#l>9$UGGsdWwDdQGI;-|CY&j&dS;gSzqF0ND2CW#$)=hffdb$%I@V~7cc&E zg?(4B@9u%%-tXX}>q=r)gKT>yCG0Tk=ywJEZr4Aq zd*%q^UdXx1uQHG-l)FkOcN#GOa(DAzX5ObB*OQUBC&$*ixZma?jkJ}U@r*wJcV<`G z22bcE4cItZUDPdH_XPH+C-hnS+tX1G%&{}V1IxlEXg9J?`R&@M4}B@bvL` z0$vFKfB0{8cT*pXk#wzhdKf}b@E847y8^^t{;ejZTxQ#D8H%K8zxi9;VLPAHGwQLu zNiAq4eI#*9aciVfAdLwEY*SldDuU}yEi_imj`Kk+*7)=((&$v;iRfCFD%4+ zn!3Uaw{gt7L}Yxnns`;RDQ1YDEyvJ1r*60gB8Y3w9;G!~Vsf2SAbq`a^g z7W>HW^rW6V&XCmHlASo;5Mxti;gzuP9lzII`&k{f@0DTA>X75ba}8~>a;57yv6q2E z_6W|wP8_g;n_;!w9xsb+00-RoWfVe4cB=_B&)xVx0!y@9TFMZM>6KA{)uZ2KY4~{* zHzxIn`$iS~`~&dwWmgPHZ~A zC`E{s=jB~fq}lT`g4ixfOXIY8he>BMi=>Gstvsb$&fn2!<~bLKQclVRkmz>*q`WPT zh>Z4xsaFY8FXP<1GTEFoH05Yn zdEGT0yk}4fcz?(9dU~~fv3PR!_2>0Ad-)5*Q4{VSXKGs1W_Qoht@b-F=p`jb-Xq#g z+zO0dI!fUC;;b)% zn#Kn~_9}tw)p*EWdC2~n19}0F{rv~nc>vkJazNi44j@e{{!X=WG3_pxeQx)5avx+* z5`x{-lpTnm|~(>TLy0 zlPZR^u0rIyiN_9CsC<>`YM0%mXt6O^h^UbM!yD#o&uhB74Ckv5IRDt!^c6jbW4hI% z5o~`%J&NJ2GWyCf`Y*kvX9=T!q%#U9oMQFs`cPj8S$046{jcjK0J6{rOkXy=cfYPb zbolu4$2?1;i(KM_`Q0Aoz?p0eF2p`d4WS9jBICH0iGA1Y*Sw);HMz3Lbc!6b%JxX0 z{a?MISMQfsbCr>0^TihJBIgi;c9cPteH=--@Ixfkeb{I7keN+17Tpq%uk9UYP@i+% z)79@rq8by@)Iyw;MJq}-$wMwmrB+HsWo~>{l=Bspxj_C5nkru|s*L4LfPY!*vOX?~ zZD%o;VeOHB&XyhWugb{3^2oocApgW~LH_N_Z|ZsDV1Kui2OD{2tj%WCA3E4yRbYQr zf&G<-{m*(!ud3$|82tvRRm}RZ)ZX}(o>2!wl}!y_f}y06vVHU|eO1E!E8+hC;ceY9 zElnxqf-j})jAd42#TZTvz3GgvbS#Ur{m$EZ%2}NLpa!72ve^L{avf%VZ{Q0ptNgU- zWmN#YRZ#_yhN-FoV9Xew3uON*(FqAlNOXdK$>%0KJr{Zd8w4eu!i zFFK!bmvdATMF3_h0l+8ztY?&RBSc4}jIy*=ve%*2$bDn1vedem1fl@T|DxwsMFBV% zn(j^q#S!3XM3jG!@q%gEtP)WGRTc#xq|{?S`xkvYsTBAWY~$r1!~W$jdKO6=G%ZWQ zioa@KOIgl(*i*Y*YmOhZBuD(-Pw}y_kSt#(7U1?;@&P6VIXm(*N=v==O%fdtONodG zjxzC&uHOD>Qb+?sIeosvYt`YYP)dWUa64Qyjh#u^-~3fiLcPve11=d6kDwFihTXC{ z%5?W?0*ZJbY66USuO=W5a`iH^kt1(DbrJTTiwx2Es;nl!XrCHHqoZ6%UIG(K(at*J zG$UJw2>Ocp3YI6j`q$?83H6zk7aCX*m<{Fn%zRaZ2E^ini8#ZL&;Y;90X@mM5TOD8 zPZ=gW_ppo;{_28RA~YcXga|RZC~ijN{72m6VrXWdZixT3PfgAgdNUG;oHm;TDA~!0 z(txTc4JfBHuqib2DoO*&D-HM-yFh#&lm=)ThK9U087~*maQxU#5P)b3XE{0hRA|mx zz(cyi%(ODrh{DVakkG|)cp4N3)Ju%4JDHxMIKb{qBnK{w%;pl_QaURlfzHlhyL`E3 zoD9Ne$=;rAh|Q(65x=LWJfY)roAy^7W8(dGd0?z7AX z`*y~(&peNAaDfr!a+Qdy|z z!mG^@n}aN2YgoKw-vxl)(=OS&QN~X@WZ3x%7Ga~v(W+p_SM6OnQ!XCO1}vElwN~ZL zB3C?GC0YflqE(6nzX7fy$YF?{Ad94Cf)+$hBpvn^D zwF>Z|({_Hrm=nA`9Rh%-|>C-qa}02uBkNxQ@vyXXH$L7 zc;fJ7eC24FiuUqa)7mXo8cX7g^_EdNK&sY^R-#!jR%^!BjAo{Qnb(>HeP|XioxEm& z>>tR}R^v1a@H*S=p+&=d$zYg?INq)kj#%D;B75%{lhadeaX> zit!oUwQD=3oxwj^Z~Cf*qG@JPF~D3TDh8^eVxTH22Fj@zBm?kobqv@O_)^hyrIdUq5#b`PAN8UgoZ*XFwZ-A$q=o`o+mOKuxZ=lNh1}f1vAm;`DODaZl z4>EG+t8w}UO7snOD|6<43>=_5Q=dUdjLJnvCH@#O;1#K4PT4>X0iCje7?BWV14*cn z#*L_cP$?O$@?=b8hh4E~R#RjSaukbZmSZ)s+Xb=@Xis`ivX5z47QTH;6hT*6QaH;L zFA3!qC^+|xOwrjkZg@~hX+~XOZ*DM$R|F8m-M4Qxn9iO=06|p+5R?cYq$wWFJ>`pQ zV>6|DWPQQ+wbHNQmn*01p*0jLj(?ZCp?>^_t6Y!Hm4rpWfGK^Nl+D;1XYnq;42tnUuIey zX)l!E4se`Mf-C{{K(pyPl*X2|fOm3v3M?o7U_;_GycU`X@+~wI+^8o3R^rkfL{AtU z5(DcVu%B%)M^;4>loL&Oy~UJ^PP^s3tCi#q1O}G2npqsS5pxlh1jZjK342;i|8#Z& z?gW^lOX*GeD$H=SB?oD&&AF_@3}_je_>NX{tYi&yMkrx0p4hfeGVeq;;lfE~Renmn zi{f?7wcng%j!SA!b3xnHW)_{zPU?KZ_HI#2bQ4snteb%QJz;MRC*X{eI1s}u|0L>E z3sTGBfS3X7pA@9V($(2J+sx5kKS6o@gx1MsQDZh&kTwq3rAR6RbH$!L*-XzMn}FYH zub*s6M>2_J#Prk^XF?cJw}=i17p`H%GTRj?vM#kFU0Yv1qD*rFCFQEcD)@;ZXLv2` z=FBA(eFf$96*5G+oF9%Yqzat)J96M6A`2366p;nVK(zneZh9Bf+Ab}Z{$@>gk&hIg zw}f zDn@yM`j!;JW|^O2f7D^-Zq5votieS%R?f0#7GqZDybs2(7iCaWqnQH}YGrf2V0@?- zrxtAnqP5bOd+{EeID>NH3~BFCiax{EsiwQhm(5n9&*09#MWErDsb+psH(Trs0u8Dv z(7;d-fre+N8mXJDssatFBGBMmy?1t+33apSR}pAnfF}YC@?RB!24+Gm|n(G%Mf0xuHkw`Q2u;sa_H3-aPK0 zqqWPv+-8WleqnR z2h7chh=aTK;%SBhFKG&2TN|s4h53hRW+vs1-61Vswcnm**32a7K^_ci!m`p82EFpn z>C^g|_2feE3ad9cX$MAH$}T9GIcIhiCWNKy`UYC$3X^9_OuaP>(XZ#RQ~fJRU65p& zmQ;4Kd&jA5ZZ9ilnuL7W)U(2H5JFlN-%J+^_M2RPkjlhTa$6QD**6orl{S}KNaIW5 z9&4)@bQW!V4pLND&1g|}So}gh*VrnxxMj6M3POF3@7>8?kb+Q73c?O+Q`Le{q6J~E z(`I5VZhE{T1|bh1lc?8=L8wFw0`o0m5b|6BVh~~~qL#m{#Vwm9Uyd8s)hR@<))Irl z{ig2%=|Xw2!7cVAV?-t5E@Q44V1`JfPpp<$j}bLH4Br{#%jLOwOHq!va=KYJJ+nt* z^ZZ7fyFJ6waD2z9N62`^!28%C3w(NpIRO$qaT61-2O&YIV7GbaFRnPZn~?9GVW!vR zMmGEM+&p~R{$PfgR$zlGfguT^zB$9pYazV9MSY$(Nh)$HCk(N6rnxU7SB*iqm5SW{ zO`wzUEJwOn%aAUTCPwS>DGLn^5)g<~eU|NL@^Ll^GW7B|d(M4} z>g(+d^Ng8C;4YuI1l_sXzWUVcEt`f3t*ot=@s&Kae8_!`waLECU8jUzE`rwM$`p4L zKg}IZ(^QAdH?0L}df6M%6@&B5>C~C!6H=^OHAbn{Y#QfA26j6IG8r8?Y>=d(x??>_ zL8RZJs!TkF#<_u`s*lrz#0yxsSXv7=q&3VE&?5fD$J%@G-A5#WhbpWz6S=+esVR2p z0<*VV<6Ai)ieD@+15&c7TH{-Z5JhnzT|v&vR&rou+A%VjcJ!_DtU$6(SZG!>)^ow$MN;f$X$8@j5EB(;MP9-UHm@)tk86vIO<<+Rj^S zuH4@ghLhy&gDGsRhSX0mh2@&wB!haP3HOpAr}8wtSDKJqXV-Q?V+&_>BgFsNUt}r? zV`xrfeR*%`^|I&$CIZZP3pS1xr~LcK)_wN0CFY~e>!a|rh&WP`u(wC$hBn$amY5!n zB61YfGEMu%UGW(-OQY0bGER#dPL`?%5;1Cs>wQ^p<+Lhtt}M8`HgXkFfgBKD4Mkpn zPA6N^8B?kia$JNlW6(*mfEZFC-AOS|v@BGjWx>nEt@e(kru~eHa)t8B71B1+%f!58 z;j9zgIVys)0;~?1a&pQleUfc)HXAuN`Ip!sNf1d2gR5Fmu~@jwEIJ+Qk-@x)h(%$G zxT4~S^V~>Th-b=)2E#0q<4@j2=jmk_SThVTJV7VP15f;sLgsnD)p zZO)!4Y8TP2-Ly7x7d~~0!BqZ?i|sQwrSVAC{@H4CR*`(vG`5R71A(nvV@$Ku7O$<8 z&UNcvWcRHxs~YHlRCefHdxymR6CsSd*O>Y68{|^Da~E+?ik!{+`!#kHEXa)!Lvc_U)U1%IjzD)@^NS+#pe7sXdK|_XYm~kb_hw9}H zUPD8|(e}2r_;R=kZvR(TXP;bamd?Qk@=6(MqEd$PN*N@hRf?1=QOa0SE=JlqZoaQO_V0@7B+8@)^7i;e?$Mq%F&5sPXa{`&1&Ip}c&CLO#Q7 zkD3>!QUfmjO*c-|(NLnJk!CzGNrcquJJj^%Tn>MVtml&tHKqMw-d83U&xrPx#6;I% zJBBZIqlF$wUo%5a5*%v01cwV9z3(vd znuq{Nt#dBKefJV*!v^v%FTufYd6`XE#)-AgIi@U2a9}q?f`cF9B{+D{@e&-Y>mtD+ zpA8tf{4qp=L#}S89ARdwLZ#L@!yL!{yd%tV&fh+n!esXe}t)saj1$IhpLEi$ZoDEY8-MDDKZ?g3m2cl3vno{ca$bS zgx`c5@?*J(3yLC#BzC3coEtOYB{|qaJ4p_iP>5;q1+U4Wj&niOeRw5}1U`3eR{*-Kb8!XI@LH@Gu23`l(pTvu5b#?+Ul&D*0rb%5d5R1($6HHSA z36tmBb?Z!LUxxE;mR%=L;u2bz_FOrYZ%6`oNOpW^o%#Ec9csK}2dO{<_VIP*ygnz{ z!4Lsek;pR-%gN{*#r{H*&qwrl1Vt4|FQQ3tlsb+vlh2TIK>46xV&pS>LQ70Kfo&1^ z$XA;WjgNGJ0^^&9w(l90-C~-`E(pBhyVBP(DCoJ=R(E`dMgQnArqj!TC?^MU+cD-@ zCkH~}cfY-9y_r`>+GG-~k-YH(>rGo<%v-u0yO#yw!C;~H$^n3r1yLdkGW}R{RU_Mp zf?J!Lfa+y@rR-0RHCq~7QFvA>hJt{9XqX;nTI<7nIn$JU=*YhNIMY*NzGaHzg+W-T zT*fzJHj+ewJ@{S()$TjaAj!|~a=YAi23sfcAkD{{!}o_7kq2?!75yz#nGD9=N)$r! zNyE!uQ3=UNPM}OC8LcDRU6QHO2~m+0koQY&1l9?j#C>E4h&M$Dd`*O5IP;jZ2BS!p zrG}Bw#z>KMH@Mxte!MB3-P$NevKt5YFwY2Gpy$9T_(5go@vQ2VbJC<`_6TeOo-bAC z*)gJ;W4iE> z4dx&BPl_@pT8&D1*KPpW^9{od2dbUZbne8>J1oo2(x2oQ84fK@jmDZ`YaH5$C z%f}~EcF~E3bj{Gd<3yu@c9I(Q1ienMSDt7Vo#KMeGN;85QPm*goyE^iFb7_grekag zZ5S8p+U20WR&-1TIRn0MqRLVwsw!2YDpDn? zELEZssS>tAzN$SJ!hlFHgv}7of-&(@CH#UIzN>049pWM?sJ6bIUK#LSz(kb=Oq2+ibf0Qgk??TNsT@8aS#r^-W=|H$k_@wZEP98zE-M+4 z?PI?<+g$An-hXJLncmd&D$$KsQ#G7%U@8$3dp7;**j;g<9{&n;v!GD-f293$})APmH=iS9eK4*f+(JlNj8r{7-|5}Qxq`0n{ zkl`}8$zT53o6LKIdbyI^I{D?So6UDqz2Z~7iXSYQYnz6+5UCw{?Y?M06zU;p4^W-u7C&pc)p*r|`3wf3CH{nxi|-(mF=e0{6` v`v3P=4y0_??@hzlE59>a0{PF@Pu^~hlK+U^zs4SW##|GOz56+Hdhq`MK)tkw diff --git a/FeynCalc/DocOutput/English/Index/segments_3 b/FeynCalc/DocOutput/English/Index/segments_3 index 0886c196016a0ef5f45a537a398c2687ba7c8eee..a5abd13e698dcb9ac7fe6f51e31f9269ab36f105 100644 GIT binary patch literal 41 lcmezW|NmbG2F9XGYd->M21XEOiZ@_jV5< literal 41 lcmezW|NmbG2FCodYdj_lKn4gi#Tzg%FqQv@0!9$c2mn#V68QiC diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$AL.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$AL.nb index 9623031e4..421bf4fed 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$AL.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$AL.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12678, 455] -NotebookOptionsPosition[ 8824, 332] -NotebookOutlinePosition[ 11564, 412] -CellTagsIndexPosition[ 11457, 406] +NotebookDataLength[ 12623, 454] +NotebookOptionsPosition[ 8825, 332] +NotebookOutlinePosition[ 11508, 411] +CellTagsIndexPosition[ 11401, 405] WindowTitle->$AL WindowFrame->Normal*) @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$290538], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$291563], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$AL", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1044316929], + CellID->1520713133], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->900191581], + CellID->1959570288], Cell[CellGroupData[{ @@ -333,7 +333,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 31}}, WindowTitle->"$AL", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -345,7 +345,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 11.894594}", + "built" -> "{2020, 6, 20, 19, 12, 43.035920}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -365,8 +365,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -378,35 +377,35 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4416, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1044316929]}, + CellID->1520713133]}, "$AL"->{ - Cell[5049, 157, 259, 8, 27, "Input", + Cell[5050, 157, 259, 8, 27, "Input", CellTags->"$AL", CellID->1748317670], - Cell[5311, 167, 981, 40, 40, "Output", + Cell[5312, 167, 981, 40, 40, "Output", CellTags->"$AL", CellID->1100154070], - Cell[6307, 210, 133, 5, 27, "Input", + Cell[6308, 210, 133, 5, 27, "Input", CellTags->"$AL", CellID->21626364], - Cell[6465, 219, 259, 8, 27, "Input", + Cell[6466, 219, 259, 8, 27, "Input", CellTags->"$AL", CellID->1906689813], - Cell[6727, 229, 891, 38, 40, "Output", + Cell[6728, 229, 891, 38, 40, "Output", CellTags->"$AL", CellID->1144687300], - Cell[7633, 270, 127, 5, 27, "Input", + Cell[7634, 270, 127, 5, 27, "Input", CellTags->"$AL", CellID->1815261796], - Cell[7763, 277, 311, 15, 33, "Text", + Cell[7764, 277, 311, 15, 33, "Text", CellTags->"$AL", CellID->2020117315]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10719, 377}, - {"$AL", 10850, 381} + {"PrimaryExamplesSection", 10663, 376}, + {"$AL", 10794, 380} } *) (*NotebookFileOutline @@ -419,44 +418,44 @@ Cell[3950, 112, 441, 12, 102, "Usage", Cell[CellGroupData[{ Cell[4416, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1044316929], + CellID->1520713133], Cell[CellGroupData[{ -Cell[4829, 147, 195, 6, 26, "ExampleSection", - CellID->900191581], +Cell[4829, 147, 196, 6, 26, "ExampleSection", + CellID->1959570288], Cell[CellGroupData[{ -Cell[5049, 157, 259, 8, 27, "Input", +Cell[5050, 157, 259, 8, 27, "Input", CellTags->"$AL", CellID->1748317670], -Cell[5311, 167, 981, 40, 40, "Output", +Cell[5312, 167, 981, 40, 40, "Output", CellTags->"$AL", CellID->1100154070] }, Open ]], -Cell[6307, 210, 133, 5, 27, "Input", +Cell[6308, 210, 133, 5, 27, "Input", CellTags->"$AL", CellID->21626364], Cell[CellGroupData[{ -Cell[6465, 219, 259, 8, 27, "Input", +Cell[6466, 219, 259, 8, 27, "Input", CellTags->"$AL", CellID->1906689813], -Cell[6727, 229, 891, 38, 40, "Output", +Cell[6728, 229, 891, 38, 40, "Output", CellTags->"$AL", CellID->1144687300] }, Open ]], -Cell[7633, 270, 127, 5, 27, "Input", +Cell[7634, 270, 127, 5, 27, "Input", CellTags->"$AL", CellID->1815261796], -Cell[7763, 277, 311, 15, 33, "Text", +Cell[7764, 277, 311, 15, 33, "Text", CellTags->"$AL", CellID->2020117315] }, Open ]], -Cell[8089, 295, 31, 0, 29, "SectionFooterSpacer"] +Cell[8090, 295, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8157, 300, 270, 12, 31, "SeeAlsoSection", +Cell[8158, 300, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8430, 314, 352, 13, 56, "SeeAlso"] +Cell[8431, 314, 352, 13, 56, "SeeAlso"] }, Open ]], -Cell[8797, 330, 23, 0, 41, "FooterCell"] +Cell[8798, 330, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Abbreviations.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Abbreviations.nb index a75683a29..b2a14f6c0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Abbreviations.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Abbreviations.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8226, 245] +NotebookDataLength[ 8228, 245] NotebookOptionsPosition[ 6036, 186] -NotebookOutlinePosition[ 8017, 237] -CellTagsIndexPosition[ 7974, 234] +NotebookOutlinePosition[ 8019, 237] +CellTagsIndexPosition[ 7976, 234] WindowTitle->$Abbreviations WindowFrame->Normal*) @@ -87,7 +87,7 @@ Abbreviations.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$290083], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$291108], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$Abbreviations", ".html"]], None}]}]}, @@ -199,7 +199,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 10.988118}", + "built" -> "{2020, 6, 20, 19, 12, 42.219329}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$BreitMaison.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$BreitMaison.nb index 87971ecd4..165296278 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$BreitMaison.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$BreitMaison.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7550, 221] +NotebookDataLength[ 7552, 221] NotebookOptionsPosition[ 5353, 162] -NotebookOutlinePosition[ 7341, 213] -CellTagsIndexPosition[ 7298, 210] +NotebookOutlinePosition[ 7343, 213] +CellTagsIndexPosition[ 7300, 210] WindowTitle->$BreitMaison WindowFrame->Normal*) @@ -82,7 +82,7 @@ BreitMaison.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$290978], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$292003], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$BreitMaison", ".html"]], None}]}]}, @@ -175,7 +175,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 12.967783}", + "built" -> "{2020, 6, 20, 19, 12, 44.011783}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCMemoryAvailable.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCMemoryAvailable.nb index d7ee96aac..573411c02 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCMemoryAvailable.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCMemoryAvailable.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8031, 245] -NotebookOptionsPosition[ 4954, 159] -NotebookOutlinePosition[ 7525, 226] -CellTagsIndexPosition[ 7405, 220] +NotebookDataLength[ 7984, 244] +NotebookOptionsPosition[ 4957, 159] +NotebookOutlinePosition[ 7475, 225] +CellTagsIndexPosition[ 7355, 219] WindowTitle->$FCMemoryAvailable WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCMemoryAvailable.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$291420], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$292445], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$FCMemoryAvailable", ".html"]], None}]}]}, @@ -125,7 +125,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->78056813], + CellID->1406452849], Cell[CellGroupData[{ @@ -135,7 +135,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->512569663], + CellID->1694577444], Cell[CellGroupData[{ @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 13.916115}", + "built" -> "{2020, 6, 20, 19, 12, 45.109330}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -195,8 +195,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -206,21 +205,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3932, 112, 386, 15, 31, "PrimaryExamplesSection", + Cell[3932, 112, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->78056813]}, + CellID->1406452849]}, "$FCMemoryAvailable"->{ - Cell[4563, 141, 120, 3, 27, "Input", + Cell[4566, 141, 120, 3, 27, "Input", CellTags->"$FCMemoryAvailable", CellID->695439641], - Cell[4686, 146, 202, 6, 35, "Output", + Cell[4689, 146, 202, 6, 35, "Output", CellTags->"$FCMemoryAvailable"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7064, 207}, - {"$FCMemoryAvailable", 7208, 211} + {"PrimaryExamplesSection", 7012, 206}, + {"$FCMemoryAvailable", 7158, 210} } *) (*NotebookFileOutline @@ -231,22 +230,22 @@ Cell[2907, 76, 295, 11, 45, "ObjectNameGrid"], Cell[3205, 89, 702, 19, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3932, 112, 386, 15, 31, "PrimaryExamplesSection", +Cell[3932, 112, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->78056813], + CellID->1406452849], Cell[CellGroupData[{ -Cell[4343, 131, 195, 6, 26, "ExampleSection", - CellID->512569663], +Cell[4345, 131, 196, 6, 26, "ExampleSection", + CellID->1694577444], Cell[CellGroupData[{ -Cell[4563, 141, 120, 3, 27, "Input", +Cell[4566, 141, 120, 3, 27, "Input", CellTags->"$FCMemoryAvailable", CellID->695439641], -Cell[4686, 146, 202, 6, 35, "Output", +Cell[4689, 146, 202, 6, 35, "Output", CellTags->"$FCMemoryAvailable"] }, Open ]] }, Open ]] }, Open ]], -Cell[4927, 157, 23, 0, 41, "FooterCell"] +Cell[4930, 157, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCS.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCS.nb index 5d2249f79..1a64ce186 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCS.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCS.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8271, 259] -NotebookOptionsPosition[ 5372, 170] -NotebookOutlinePosition[ 7688, 236] -CellTagsIndexPosition[ 7582, 230] +NotebookDataLength[ 8278, 259] +NotebookOptionsPosition[ 5374, 170] +NotebookOutlinePosition[ 7693, 236] +CellTagsIndexPosition[ 7587, 230] WindowTitle->$FCS WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$292286], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$293311], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$FCS", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->361639652], + CellID->1371695847], Cell[TextData[{ "Basic Examples", @@ -126,7 +126,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->353242586], + CellID->1916433555], Cell[CellGroupData[{ @@ -156,7 +156,7 @@ Cell[BoxData[ ",", "\<\"SDF\"\>", ",", "\<\"SOD\"\>", ",", "\<\"SP\"\>", ",", "\<\"SPC\"\>", ",", "\<\"SPD\"\>", ",", "\<\"SPE\"\>", ",", "\<\"SPL\"\>"}], "}"}], TraditionalForm]], "Output", - ImageSize->{428, 52}, + ImageSize->{428, 53}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"$FCS", @@ -171,7 +171,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"$FCS", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -183,7 +183,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 15.989055}", + "built" -> "{2020, 6, 20, 19, 12, 47.132525}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -212,25 +212,25 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3546, 105, 387, 15, 31, "PrimaryExamplesSection", + Cell[3546, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->361639652]}, + CellID->1371695847]}, "$FCS"->{ - Cell[4156, 132, 73, 2, 36, "Subsubsection", + Cell[4158, 132, 73, 2, 36, "Subsubsection", CellTags->"$FCS", CellID->1728378026], - Cell[4254, 138, 92, 3, 27, "Input", + Cell[4256, 138, 92, 3, 27, "Input", CellTags->"$FCS", CellID->376757099], - Cell[4349, 143, 957, 20, 73, "Output", + Cell[4351, 143, 957, 20, 74, "Output", CellTags->"$FCS", CellID->194077646]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7169, 213}, - {"$FCS", 7300, 217} + {"PrimaryExamplesSection", 7173, 213}, + {"$FCS", 7305, 217} } *) (*NotebookFileOutline @@ -241,26 +241,26 @@ Cell[2836, 76, 281, 11, 45, "ObjectNameGrid"], Cell[3120, 89, 401, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3546, 105, 387, 15, 31, "PrimaryExamplesSection", +Cell[3546, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->361639652], -Cell[3936, 122, 195, 6, 26, "ExampleSection", - CellID->353242586], + CellID->1371695847], +Cell[3937, 122, 196, 6, 26, "ExampleSection", + CellID->1916433555], Cell[CellGroupData[{ -Cell[4156, 132, 73, 2, 36, "Subsubsection", +Cell[4158, 132, 73, 2, 36, "Subsubsection", CellTags->"$FCS", CellID->1728378026], Cell[CellGroupData[{ -Cell[4254, 138, 92, 3, 27, "Input", +Cell[4256, 138, 92, 3, 27, "Input", CellTags->"$FCS", CellID->376757099], -Cell[4349, 143, 957, 20, 73, "Output", +Cell[4351, 143, 957, 20, 74, "Output", CellTags->"$FCS", CellID->194077646] }, Open ]] }, Open ]] }, Open ]], -Cell[5345, 168, 23, 0, 41, "FooterCell"] +Cell[5347, 168, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCShowIEta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCShowIEta.nb index fd30580e2..9bc98f251 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCShowIEta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCShowIEta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10145, 338] -NotebookOptionsPosition[ 6730, 236] -NotebookOutlinePosition[ 9078, 296] -CellTagsIndexPosition[ 8994, 291] +NotebookDataLength[ 10093, 337] +NotebookOptionsPosition[ 6731, 236] +NotebookOutlinePosition[ 9025, 295] +CellTagsIndexPosition[ 8941, 290] WindowTitle->$FCShowIEta WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCShowIEta.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$291847], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$292872], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$FCShowIEta", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->669615664], + CellID->1759246236], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1364419805], + CellID->1501265334], Cell[CellGroupData[{ @@ -237,7 +237,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"$FCShowIEta", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -249,7 +249,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 14.888195}", + "built" -> "{2020, 6, 20, 19, 12, 46.122544}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -272,8 +272,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -283,14 +282,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3813, 107, 387, 15, 31, "PrimaryExamplesSection", + Cell[3813, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->669615664]} + CellID->1759246236]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8851, 284} + {"PrimaryExamplesSection", 8797, 283} } *) (*NotebookFileOutline @@ -301,45 +300,45 @@ Cell[2872, 76, 288, 11, 45, "ObjectNameGrid"], Cell[3163, 89, 625, 14, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3813, 107, 387, 15, 31, "PrimaryExamplesSection", +Cell[3813, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->669615664], + CellID->1759246236], Cell[CellGroupData[{ -Cell[4225, 126, 196, 6, 26, "ExampleSection", - CellID->1364419805], +Cell[4226, 126, 196, 6, 26, "ExampleSection", + CellID->1501265334], Cell[CellGroupData[{ -Cell[4446, 136, 80, 2, 27, "Input", +Cell[4447, 136, 80, 2, 27, "Input", CellID->710731682], -Cell[4529, 140, 190, 6, 35, "Output", +Cell[4530, 140, 190, 6, 35, "Output", CellID->2143783398] }, Open ]], Cell[CellGroupData[{ -Cell[4756, 151, 173, 6, 27, "Input", +Cell[4757, 151, 173, 6, 27, "Input", CellID->1378639796], -Cell[4932, 159, 454, 13, 61, "Output", +Cell[4933, 159, 454, 13, 61, "Output", CellID->427014609] }, Open ]], Cell[CellGroupData[{ -Cell[5423, 177, 106, 3, 27, "Input", +Cell[5424, 177, 106, 3, 27, "Input", CellID->462213996], -Cell[5532, 182, 191, 6, 35, "Output", +Cell[5533, 182, 191, 6, 35, "Output", CellID->1909211131] }, Open ]], Cell[CellGroupData[{ -Cell[5760, 193, 173, 6, 27, "Input", +Cell[5761, 193, 173, 6, 27, "Input", CellID->2000350143], -Cell[5936, 201, 393, 12, 61, "Output", +Cell[5937, 201, 393, 12, 61, "Output", CellID->92097782] }, Open ]], Cell[CellGroupData[{ -Cell[6366, 218, 105, 3, 27, "Input", +Cell[6367, 218, 105, 3, 27, "Input", CellID->942085505], -Cell[6474, 223, 190, 6, 35, "Output", +Cell[6475, 223, 190, 6, 35, "Output", CellID->1291376477] }, Open ]] }, Open ]] }, Open ]], -Cell[6703, 234, 23, 0, 41, "FooterCell"] +Cell[6704, 234, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCT.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCT.nb index fd6f6a75d..1b288ca92 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCT.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCT.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9673, 335] -NotebookOptionsPosition[ 6159, 224] -NotebookOutlinePosition[ 8825, 301] -CellTagsIndexPosition[ 8719, 295] +NotebookDataLength[ 9613, 334] +NotebookOptionsPosition[ 6157, 224] +NotebookOutlinePosition[ 8767, 300] +CellTagsIndexPosition[ 8661, 294] WindowTitle->$FCT WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$292719], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$293744], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$FCT", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1799296695], + CellID->327137898], Cell[CellGroupData[{ @@ -128,7 +128,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1539302137], + CellID->251939162], Cell[BoxData[ RowBox[{ @@ -237,7 +237,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 16.995257}", + "built" -> "{2020, 6, 20, 19, 12, 48.122975}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -257,8 +257,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -268,34 +267,34 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3586, 105, 388, 15, 31, "PrimaryExamplesSection", + Cell[3586, 105, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1799296695]}, + CellID->327137898]}, "$FCT"->{ - Cell[4198, 132, 145, 5, 27, "Input", + Cell[4196, 132, 145, 5, 27, "Input", CellTags->"$FCT", CellID->699494043], - Cell[4368, 141, 187, 6, 27, "Input", + Cell[4366, 141, 187, 6, 27, "Input", CellTags->"$FCT", CellID->990751357], - Cell[4558, 149, 579, 24, 37, "Output", + Cell[4556, 149, 579, 24, 37, "Output", CellTags->"$FCT", CellID->2085231403], - Cell[5152, 176, 147, 5, 27, "Input", + Cell[5150, 176, 147, 5, 27, "Input", CellTags->"$FCT", CellID->1335241160], - Cell[5324, 185, 188, 6, 27, "Input", + Cell[5322, 185, 188, 6, 27, "Input", CellTags->"$FCT", CellID->1905190274], - Cell[5515, 193, 578, 24, 37, "Output", + Cell[5513, 193, 578, 24, 37, "Output", CellTags->"$FCT", CellID->189104595]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8058, 269}, - {"$FCT", 8190, 273} + {"PrimaryExamplesSection", 8001, 268}, + {"$FCT", 8132, 272} } *) (*NotebookFileOutline @@ -306,37 +305,37 @@ Cell[2836, 76, 281, 11, 45, "ObjectNameGrid"], Cell[3120, 89, 441, 12, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3586, 105, 388, 15, 31, "PrimaryExamplesSection", +Cell[3586, 105, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1799296695], + CellID->327137898], Cell[CellGroupData[{ -Cell[3999, 124, 196, 6, 26, "ExampleSection", - CellID->1539302137], -Cell[4198, 132, 145, 5, 27, "Input", +Cell[3998, 124, 195, 6, 26, "ExampleSection", + CellID->251939162], +Cell[4196, 132, 145, 5, 27, "Input", CellTags->"$FCT", CellID->699494043], Cell[CellGroupData[{ -Cell[4368, 141, 187, 6, 27, "Input", +Cell[4366, 141, 187, 6, 27, "Input", CellTags->"$FCT", CellID->990751357], -Cell[4558, 149, 579, 24, 37, "Output", +Cell[4556, 149, 579, 24, 37, "Output", CellTags->"$FCT", CellID->2085231403] }, Open ]], -Cell[5152, 176, 147, 5, 27, "Input", +Cell[5150, 176, 147, 5, 27, "Input", CellTags->"$FCT", CellID->1335241160], Cell[CellGroupData[{ -Cell[5324, 185, 188, 6, 27, "Input", +Cell[5322, 185, 188, 6, 27, "Input", CellTags->"$FCT", CellID->1905190274], -Cell[5515, 193, 578, 24, 37, "Output", +Cell[5513, 193, 578, 24, 37, "Output", CellTags->"$FCT", CellID->189104595] }, Open ]] }, Open ]] }, Open ]], -Cell[6132, 222, 23, 0, 41, "FooterCell"] +Cell[6130, 222, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCTraditionalFormOutput.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCTraditionalFormOutput.nb index da78801a8..b22e63047 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCTraditionalFormOutput.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FCTraditionalFormOutput.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8342, 236] -NotebookOptionsPosition[ 5383, 161] -NotebookOutlinePosition[ 7899, 219] -CellTagsIndexPosition[ 7856, 216] +NotebookDataLength[ 8289, 235] +NotebookOptionsPosition[ 5384, 161] +NotebookOutlinePosition[ 7845, 218] +CellTagsIndexPosition[ 7802, 215] WindowTitle->$FCTraditionalFormOutput WindowFrame->Normal*) @@ -60,7 +60,7 @@ FCTraditionalFormOutput.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$293149], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$294174], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$FCTraditionalFormOutput", ".html"]], None}]}]}, @@ -136,7 +136,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->455133749], + CellID->1748711772], Cell["", "SectionHeaderSpacer"], @@ -161,8 +161,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"$FCTraditionalFormOutput", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -174,7 +174,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 18.096385}", + "built" -> "{2020, 6, 20, 19, 12, 49.238989}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -202,8 +202,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -225,19 +224,19 @@ Cell[CellGroupData[{ Cell[3276, 92, 930, 18, 171, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4231, 114, 738, 24, 31, "NotesSection", +Cell[4231, 114, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->455133749], -Cell[4972, 140, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1748711772], +Cell[4973, 140, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5028, 144, 95, 2, 70, "Input", +Cell[5029, 144, 95, 2, 70, "Input", CellID->1499223899], -Cell[5126, 148, 191, 6, 35, "Output", +Cell[5127, 148, 191, 6, 35, "Output", CellID->825857747] }, Open ]] }, Closed]] }, Open ]], -Cell[5356, 159, 23, 0, 41, "FooterCell"] +Cell[5357, 159, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FeynCalcVersion.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FeynCalcVersion.nb index 5c9d89e67..c8fe2c494 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FeynCalcVersion.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FeynCalcVersion.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7451, 234] -NotebookOptionsPosition[ 4615, 151] -NotebookOutlinePosition[ 6949, 215] -CellTagsIndexPosition[ 6831, 209] +NotebookDataLength[ 7399, 233] +NotebookOptionsPosition[ 4616, 151] +NotebookOutlinePosition[ 6896, 214] +CellTagsIndexPosition[ 6778, 208] WindowTitle->$FeynCalcVersion WindowFrame->Normal*) @@ -59,7 +59,7 @@ FeynCalcVersion.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$293576], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$294601], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$FeynCalcVersion", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->614101205], + CellID->1430595685], Cell[CellGroupData[{ @@ -127,7 +127,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->211792166], + CellID->198432094], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"$FeynCalcVersion", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 19.178713}", + "built" -> "{2020, 6, 20, 19, 12, 50.214459}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -184,8 +184,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -195,21 +194,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3589, 104, 387, 15, 31, "PrimaryExamplesSection", + Cell[3589, 104, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->614101205]}, + CellID->1430595685]}, "$FeynCalcVersion"->{ - Cell[4221, 133, 116, 3, 27, "Input", + Cell[4222, 133, 116, 3, 27, "Input", CellTags->"$FeynCalcVersion", CellID->806604709], - Cell[4340, 138, 209, 6, 35, "Output", + Cell[4341, 138, 209, 6, 35, "Output", CellTags->"$FeynCalcVersion"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 6495, 196}, - {"$FeynCalcVersion", 6638, 200} + {"PrimaryExamplesSection", 6441, 195}, + {"$FeynCalcVersion", 6585, 199} } *) (*NotebookFileOutline @@ -220,22 +219,22 @@ Cell[2897, 76, 293, 11, 45, "ObjectNameGrid"], Cell[3193, 89, 371, 11, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3589, 104, 387, 15, 31, "PrimaryExamplesSection", +Cell[3589, 104, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->614101205], + CellID->1430595685], Cell[CellGroupData[{ -Cell[4001, 123, 195, 6, 26, "ExampleSection", - CellID->211792166], +Cell[4002, 123, 195, 6, 26, "ExampleSection", + CellID->198432094], Cell[CellGroupData[{ -Cell[4221, 133, 116, 3, 27, "Input", +Cell[4222, 133, 116, 3, 27, "Input", CellTags->"$FeynCalcVersion", CellID->806604709], -Cell[4340, 138, 209, 6, 35, "Output", +Cell[4341, 138, 209, 6, 35, "Output", CellTags->"$FeynCalcVersion"] }, Open ]] }, Open ]] }, Open ]], -Cell[4588, 149, 23, 0, 41, "FooterCell"] +Cell[4589, 149, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FortranContinuationCharacter.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FortranContinuationCharacter.nb index 1b419b04e..d799248bb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FortranContinuationCharacter.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$FortranContinuationCharacter.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9262, 296] -NotebookOptionsPosition[ 6044, 204] -NotebookOutlinePosition[ 8515, 270] -CellTagsIndexPosition[ 8384, 264] +NotebookDataLength[ 9205, 295] +NotebookOptionsPosition[ 6043, 204] +NotebookOutlinePosition[ 8459, 269] +CellTagsIndexPosition[ 8328, 263] WindowTitle->$FortranContinuationCharacter WindowFrame->Normal*) @@ -81,7 +81,7 @@ FortranContinuationCharacter.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$294004], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$295029], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$FortranContinuationCharacter", ".html"]], @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1696140808], + CellID->1045633138], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1341373379], + CellID->231789583], Cell[CellGroupData[{ @@ -217,7 +217,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 20.184533}", + "built" -> "{2020, 6, 20, 19, 12, 51.229540}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -238,8 +238,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -251,20 +250,20 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4434, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1696140808]}, + CellID->1045633138]}, "$FortranContinuationCharacter"->{ - Cell[5068, 157, 143, 3, 27, "Input", + Cell[5067, 157, 143, 3, 27, "Input", CellTags->"$FortranContinuationCharacter", CellID->1374118326], - Cell[5214, 162, 239, 7, 35, "Output", + Cell[5213, 162, 239, 7, 35, "Output", CellTags->"$FortranContinuationCharacter", CellID->1216489439]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7984, 250}, - {"$FortranContinuationCharacter", 8141, 254} + {"PrimaryExamplesSection", 7928, 249}, + {"$FortranContinuationCharacter", 8085, 253} } *) (*NotebookFileOutline @@ -277,27 +276,27 @@ Cell[4032, 113, 377, 11, 84, "Usage", Cell[CellGroupData[{ Cell[4434, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1696140808], + CellID->1045633138], Cell[CellGroupData[{ -Cell[4847, 147, 196, 6, 26, "ExampleSection", - CellID->1341373379], +Cell[4847, 147, 195, 6, 26, "ExampleSection", + CellID->231789583], Cell[CellGroupData[{ -Cell[5068, 157, 143, 3, 27, "Input", +Cell[5067, 157, 143, 3, 27, "Input", CellTags->"$FortranContinuationCharacter", CellID->1374118326], -Cell[5214, 162, 239, 7, 35, "Output", +Cell[5213, 162, 239, 7, 35, "Output", CellTags->"$FortranContinuationCharacter", CellID->1216489439] }, Open ]] }, Open ]], -Cell[5480, 173, 31, 0, 29, "SectionFooterSpacer"] +Cell[5479, 173, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[5548, 178, 270, 12, 31, "SeeAlsoSection", +Cell[5547, 178, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[5821, 192, 181, 7, 56, "SeeAlso"] +Cell[5820, 192, 181, 7, 56, "SeeAlso"] }, Open ]], -Cell[6017, 202, 23, 0, 41, "FooterCell"] +Cell[6016, 202, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Gauge.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Gauge.nb index eec5deda3..26990e2f9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Gauge.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Gauge.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7026, 211] +NotebookDataLength[ 7028, 211] NotebookOptionsPosition[ 4890, 153] -NotebookOutlinePosition[ 6819, 203] -CellTagsIndexPosition[ 6776, 200] +NotebookOutlinePosition[ 6821, 203] +CellTagsIndexPosition[ 6778, 200] WindowTitle->$Gauge WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$294437], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$295462], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$Gauge", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 21.229034}", + "built" -> "{2020, 6, 20, 19, 12, 52.233109}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Larin.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Larin.nb index 3134a35aa..1b2c2309e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Larin.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$Larin.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7514, 222] +NotebookDataLength[ 7516, 222] NotebookOptionsPosition[ 5330, 163] -NotebookOutlinePosition[ 7305, 214] -CellTagsIndexPosition[ 7262, 211] +NotebookOutlinePosition[ 7307, 214] +CellTagsIndexPosition[ 7264, 211] WindowTitle->$Larin WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$294880], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$295905], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$Larin", ".html"]], None}]}]}, @@ -176,7 +176,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 22.087028}", + "built" -> "{2020, 6, 20, 19, 12, 53.027934}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LeviCivitaSign.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LeviCivitaSign.nb index af82b428f..3f5d29b2c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LeviCivitaSign.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LeviCivitaSign.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10231, 343] -NotebookOptionsPosition[ 6950, 247] -NotebookOutlinePosition[ 9292, 307] -CellTagsIndexPosition[ 9208, 302] +NotebookDataLength[ 10174, 342] +NotebookOptionsPosition[ 6948, 247] +NotebookOutlinePosition[ 9237, 306] +CellTagsIndexPosition[ 9153, 301] WindowTitle->$LeviCivitaSign WindowFrame->Normal*) @@ -59,7 +59,7 @@ LeviCivitaSign.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$295326], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$296351], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$LeviCivitaSign", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->887122515], + CellID->516543378], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1894416738], + CellID->64539120], Cell[CellGroupData[{ @@ -248,7 +248,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"$LeviCivitaSign", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -260,7 +260,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 23.052180}", + "built" -> "{2020, 6, 20, 19, 12, 53.840049}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -283,8 +283,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -296,12 +295,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3820, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->887122515]} + CellID->516543378]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9065, 295} + {"PrimaryExamplesSection", 9010, 294} } *) (*NotebookFileOutline @@ -314,37 +313,37 @@ Cell[3187, 89, 608, 14, 119, "Usage", Cell[CellGroupData[{ Cell[3820, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->887122515], + CellID->516543378], Cell[CellGroupData[{ -Cell[4232, 126, 196, 6, 26, "ExampleSection", - CellID->1894416738], +Cell[4232, 126, 194, 6, 26, "ExampleSection", + CellID->64539120], Cell[CellGroupData[{ -Cell[4453, 136, 85, 2, 27, "Input", +Cell[4451, 136, 85, 2, 27, "Input", CellID->1712420789], -Cell[4541, 140, 205, 7, 35, "Output", +Cell[4539, 140, 205, 7, 35, "Output", CellID->2017735240] }, Open ]], Cell[CellGroupData[{ -Cell[4783, 152, 205, 6, 27, "Input", +Cell[4781, 152, 205, 6, 27, "Input", CellID->722943498], -Cell[4991, 160, 645, 26, 35, "Output", +Cell[4989, 160, 645, 26, 35, "Output", CellID->24019145] }, Open ]], -Cell[5651, 189, 78, 1, 32, "Notes", +Cell[5649, 189, 78, 1, 32, "Notes", CellID->1734027625], Cell[CellGroupData[{ -Cell[5754, 194, 309, 9, 45, "Input", +Cell[5752, 194, 309, 9, 45, "Input", CellID->1075951969], -Cell[6066, 205, 606, 25, 35, "Output", +Cell[6064, 205, 606, 25, 35, "Output", CellID->1430392236] }, Open ]], -Cell[6687, 233, 63, 1, 32, "Notes", +Cell[6685, 233, 63, 1, 32, "Notes", CellID->223764811], -Cell[6753, 236, 143, 5, 27, "Input", +Cell[6751, 236, 143, 5, 27, "Input", CellID->955635605] }, Open ]] }, Open ]], -Cell[6923, 245, 23, 0, 41, "FooterCell"] +Cell[6921, 245, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LimitTo4.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LimitTo4.nb index fdfbb0bfa..d71a75aa6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LimitTo4.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LimitTo4.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9460, 308] +NotebookDataLength[ 9405, 307] NotebookOptionsPosition[ 6384, 217] -NotebookOutlinePosition[ 8755, 282] -CellTagsIndexPosition[ 8644, 276] +NotebookOutlinePosition[ 8700, 281] +CellTagsIndexPosition[ 8589, 275] WindowTitle->$LimitTo4 WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$295759], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$296784], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$LimitTo4", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->336697932], + CellID->929776931], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->269137595], + CellID->921241896], Cell[CellGroupData[{ @@ -230,7 +230,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 24.101436}", + "built" -> "{2020, 6, 20, 19, 12, 54.838910}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -250,8 +250,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -263,7 +262,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4528, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->336697932]}, + CellID->929776931]}, "$LimitTo4"->{ Cell[5160, 158, 102, 3, 27, "Input", CellTags->"$LimitTo4", @@ -275,8 +274,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8307, 262}, - {"$LimitTo4", 8443, 266} + {"PrimaryExamplesSection", 8252, 261}, + {"$LimitTo4", 8388, 265} } *) (*NotebookFileOutline @@ -289,10 +288,10 @@ Cell[4053, 113, 450, 12, 102, "Usage", Cell[CellGroupData[{ Cell[4528, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->336697932], + CellID->929776931], Cell[CellGroupData[{ Cell[4940, 148, 195, 6, 26, "ExampleSection", - CellID->269137595], + CellID->921241896], Cell[CellGroupData[{ Cell[5160, 158, 102, 3, 27, "Input", CellTags->"$LimitTo4", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LoadAddOns.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LoadAddOns.nb index b36f561e1..195a0203f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LoadAddOns.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$LoadAddOns.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5670, 158] +NotebookDataLength[ 5672, 158] NotebookOptionsPosition[ 3694, 106] -NotebookOutlinePosition[ 5606, 155] -CellTagsIndexPosition[ 5563, 152] +NotebookOutlinePosition[ 5608, 155] +CellTagsIndexPosition[ 5565, 152] WindowTitle->$LoadAddOns WindowFrame->Normal*) @@ -59,7 +59,7 @@ LoadAddOns.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$296193], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$297218], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$LoadAddOns", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 25.091827}", + "built" -> "{2020, 6, 20, 19, 12, 55.834693}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$MIntegrate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$MIntegrate.nb index 4b7e86943..95c078ead 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$MIntegrate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$MIntegrate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9009, 296] +NotebookDataLength[ 8954, 295] NotebookOptionsPosition[ 5972, 205] -NotebookOutlinePosition[ 8301, 270] -CellTagsIndexPosition[ 8188, 264] +NotebookOutlinePosition[ 8246, 269] +CellTagsIndexPosition[ 8133, 263] WindowTitle->$MIntegrate WindowFrame->Normal*) @@ -79,7 +79,7 @@ MIntegrate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$296630], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$297655], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$MIntegrate", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->613466333], + CellID->754497458], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->452494624], + CellID->236724843], Cell[CellGroupData[{ @@ -163,7 +163,7 @@ Cell[BoxData["$MIntegrate"], "Input", Cell[BoxData[ FormBox[ RowBox[{"{", "}"}], TraditionalForm]], "Output", - ImageSize->{16, 14}, + ImageSize->{16, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"$MIntegrate", @@ -218,7 +218,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 26.063412}", + "built" -> "{2020, 6, 20, 19, 12, 56.643144}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -238,8 +238,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -251,20 +250,20 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4375, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->613466333]}, + CellID->754497458]}, "$MIntegrate"->{ Cell[5007, 157, 107, 3, 27, "Input", CellTags->"$MIntegrate", CellID->1439168966], - Cell[5117, 162, 231, 8, 35, "Output", + Cell[5117, 162, 231, 8, 37, "Output", CellTags->"$MIntegrate", CellID->1034422222]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7843, 250}, - {"$MIntegrate", 7981, 254} + {"PrimaryExamplesSection", 7788, 249}, + {"$MIntegrate", 7926, 253} } *) (*NotebookFileOutline @@ -277,15 +276,15 @@ Cell[3910, 110, 440, 14, 85, "Usage", Cell[CellGroupData[{ Cell[4375, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->613466333], + CellID->754497458], Cell[CellGroupData[{ Cell[4787, 147, 195, 6, 26, "ExampleSection", - CellID->452494624], + CellID->236724843], Cell[CellGroupData[{ Cell[5007, 157, 107, 3, 27, "Input", CellTags->"$MIntegrate", CellID->1439168966], -Cell[5117, 162, 231, 8, 35, "Output", +Cell[5117, 162, 231, 8, 37, "Output", CellTags->"$MIntegrate", CellID->1034422222] }, Open ]] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$MU.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$MU.nb index 64068a89f..1a6d1ca43 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$MU.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$MU.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9476, 310] -NotebookOptionsPosition[ 6414, 218] -NotebookOutlinePosition[ 8783, 284] -CellTagsIndexPosition[ 8678, 278] +NotebookDataLength[ 9420, 309] +NotebookOptionsPosition[ 6413, 218] +NotebookOutlinePosition[ 8728, 283] +CellTagsIndexPosition[ 8623, 277] WindowTitle->$MU WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$297071], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$298096], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$MU", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->823558675], + CellID->1494351018], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2038655610], + CellID->76516343], Cell[CellGroupData[{ @@ -219,7 +219,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"$MU", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -231,7 +231,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 27.130561}", + "built" -> "{2020, 6, 20, 19, 12, 57.637126}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -252,8 +252,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -263,22 +262,22 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4552, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4552, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->823558675]}, + CellID->1494351018]}, "$MU"->{ - Cell[5185, 159, 90, 3, 27, "Input", + Cell[5184, 159, 90, 3, 27, "Input", CellTags->"$MU", CellID->816086457], - Cell[5278, 164, 206, 7, 35, "Output", + Cell[5277, 164, 206, 7, 35, "Output", CellTags->"$MU", CellID->418655578]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8360, 264}, - {"$MU", 8490, 268} + {"PrimaryExamplesSection", 8304, 263}, + {"$MU", 8435, 267} } *) (*NotebookFileOutline @@ -289,29 +288,29 @@ Cell[3750, 100, 280, 11, 45, "ObjectNameGrid"], Cell[4033, 113, 494, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4552, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4552, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->823558675], + CellID->1494351018], Cell[CellGroupData[{ -Cell[4964, 149, 196, 6, 26, "ExampleSection", - CellID->2038655610], +Cell[4965, 149, 194, 6, 26, "ExampleSection", + CellID->76516343], Cell[CellGroupData[{ -Cell[5185, 159, 90, 3, 27, "Input", +Cell[5184, 159, 90, 3, 27, "Input", CellTags->"$MU", CellID->816086457], -Cell[5278, 164, 206, 7, 35, "Output", +Cell[5277, 164, 206, 7, 35, "Output", CellTags->"$MU", CellID->418655578] }, Open ]] }, Open ]], -Cell[5511, 175, 31, 0, 29, "SectionFooterSpacer"] +Cell[5510, 175, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[5579, 180, 270, 12, 31, "SeeAlsoSection", +Cell[5578, 180, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[5852, 194, 520, 19, 56, "SeeAlso"] +Cell[5851, 194, 520, 19, 56, "SeeAlso"] }, Open ]], -Cell[6387, 216, 23, 0, 41, "FooterCell"] +Cell[6386, 216, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$NonComm.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$NonComm.nb index 80a4768ff..d2f219239 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$NonComm.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$NonComm.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10102, 314] +NotebookDataLength[ 10050, 313] NotebookOptionsPosition[ 7154, 226] -NotebookOutlinePosition[ 9415, 289] -CellTagsIndexPosition[ 9305, 283] +NotebookOutlinePosition[ 9363, 288] +CellTagsIndexPosition[ 9253, 282] WindowTitle->$NonComm WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$297507], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$298532], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$NonComm", ".html"]], None}]}]}, @@ -138,7 +138,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1285384359], + CellID->1531640244], Cell[CellGroupData[{ @@ -148,7 +148,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1652586844], + CellID->2061342451], Cell[CellGroupData[{ @@ -227,7 +227,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"$NonComm", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -239,7 +239,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 28.233456}", + "built" -> "{2020, 6, 20, 19, 12, 58.639711}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -258,8 +258,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -271,7 +270,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4350, 125, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1285384359]}, + CellID->1531640244]}, "$NonComm"->{ Cell[4984, 154, 101, 3, 27, "Input", CellTags->"$NonComm", @@ -282,8 +281,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8988, 270}, - {"$NonComm", 9124, 274} + {"PrimaryExamplesSection", 8936, 269}, + {"$NonComm", 9072, 273} } *) (*NotebookFileOutline @@ -296,10 +295,10 @@ Cell[3971, 111, 354, 10, 85, "Usage", Cell[CellGroupData[{ Cell[4350, 125, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1285384359], + CellID->1531640244], Cell[CellGroupData[{ Cell[4763, 144, 196, 6, 26, "ExampleSection", - CellID->1652586844], + CellID->2061342451], Cell[CellGroupData[{ Cell[4984, 154, 101, 3, 27, "Input", CellTags->"$NonComm", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$RenameFeynCalcObjects.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$RenameFeynCalcObjects.nb index 26c17673c..ee82597ec 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$RenameFeynCalcObjects.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$RenameFeynCalcObjects.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7885, 227] +NotebookDataLength[ 7887, 227] NotebookOptionsPosition[ 5460, 163] -NotebookOutlinePosition[ 7516, 214] -CellTagsIndexPosition[ 7473, 211] +NotebookOutlinePosition[ 7518, 214] +CellTagsIndexPosition[ 7475, 211] WindowTitle->$RenameFeynCalcObjects WindowFrame->Normal*) @@ -59,7 +59,7 @@ RenameFeynCalcObjects.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$297942], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$298967], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$RenameFeynCalcObjects", ".html"]], None}]}]}, @@ -176,7 +176,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 29.304776}", + "built" -> "{2020, 6, 20, 19, 12, 59.644357}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$VeryVerbose.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$VeryVerbose.nb index 644834116..f3a602be8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/$VeryVerbose.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/$VeryVerbose.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13776, 466] -NotebookOptionsPosition[ 8296, 292] -NotebookOutlinePosition[ 11997, 400] -CellTagsIndexPosition[ 11881, 394] +NotebookDataLength[ 13716, 465] +NotebookOptionsPosition[ 8295, 292] +NotebookOutlinePosition[ 11938, 399] +CellTagsIndexPosition[ 11822, 393] WindowTitle->$VeryVerbose WindowFrame->Normal*) @@ -59,7 +59,7 @@ VeryVerbose.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$298379], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$299404], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/$VeryVerbose", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1852257957], + CellID->925169003], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1682360856], + CellID->1714171984], Cell[CellGroupData[{ @@ -293,7 +293,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"$VeryVerbose", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -305,7 +305,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 30.267116}", + "built" -> "{2020, 6, 20, 19, 13, 0.767302}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -326,8 +326,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -337,64 +336,64 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3666, 106, 388, 15, 31, "PrimaryExamplesSection", + Cell[3666, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1852257957]}, + CellID->925169003]}, "$VeryVerbose"->{ - Cell[4300, 135, 107, 3, 27, "Input", + Cell[4299, 135, 107, 3, 27, "Input", CellTags->"$VeryVerbose", CellID->32384538], - Cell[4410, 140, 213, 7, 35, "Output", + Cell[4409, 140, 213, 7, 35, "Output", CellTags->"$VeryVerbose", CellID->108969208], - Cell[4638, 150, 159, 5, 27, "Input", + Cell[4637, 150, 159, 5, 27, "Input", CellTags->"$VeryVerbose", CellID->1791846668], - Cell[4822, 159, 304, 11, 27, "Input", + Cell[4821, 159, 304, 11, 27, "Input", CellTags->"$VeryVerbose", CellID->836037655], - Cell[5151, 174, 164, 4, 24, "Print", + Cell[5150, 174, 164, 4, 24, "Print", CellTags->"$VeryVerbose", CellID->862952163], - Cell[5318, 180, 331, 9, 24, "Print", + Cell[5317, 180, 331, 9, 24, "Print", CellTags->"$VeryVerbose", CellID->1766474446], - Cell[5652, 191, 165, 4, 22, "Print", + Cell[5651, 191, 165, 4, 22, "Print", CellTags->"$VeryVerbose", CellID->213277068], - Cell[5820, 197, 320, 9, 24, "Print", + Cell[5819, 197, 320, 9, 24, "Print", CellTags->"$VeryVerbose", CellID->1505382833], - Cell[6143, 208, 337, 9, 24, "Print", + Cell[6142, 208, 337, 9, 24, "Print", CellTags->"$VeryVerbose", CellID->314971425], - Cell[6483, 219, 261, 8, 22, "Print", + Cell[6482, 219, 261, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->396106533], - Cell[6747, 229, 261, 8, 22, "Print", + Cell[6746, 229, 261, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->398041849], - Cell[7011, 239, 262, 8, 22, "Print", + Cell[7010, 239, 262, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->2061966610], - Cell[7276, 249, 261, 8, 22, "Print", + Cell[7275, 249, 261, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->341728577], - Cell[7540, 259, 262, 8, 22, "Print", + Cell[7539, 259, 262, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->1928467842], - Cell[7805, 269, 262, 8, 22, "Print", + Cell[7804, 269, 262, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->1801016605], - Cell[8094, 281, 148, 5, 27, "Input", + Cell[8093, 281, 148, 5, 27, "Input", CellTags->"$VeryVerbose", CellID->153803702]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10254, 338}, - {"$VeryVerbose", 10394, 342} + {"PrimaryExamplesSection", 10196, 337}, + {"$VeryVerbose", 10335, 341} } *) (*NotebookFileOutline @@ -405,69 +404,69 @@ Cell[2877, 76, 289, 11, 45, "ObjectNameGrid"], Cell[3169, 89, 472, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3666, 106, 388, 15, 31, "PrimaryExamplesSection", +Cell[3666, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1852257957], + CellID->925169003], Cell[CellGroupData[{ -Cell[4079, 125, 196, 6, 26, "ExampleSection", - CellID->1682360856], +Cell[4078, 125, 196, 6, 26, "ExampleSection", + CellID->1714171984], Cell[CellGroupData[{ -Cell[4300, 135, 107, 3, 27, "Input", +Cell[4299, 135, 107, 3, 27, "Input", CellTags->"$VeryVerbose", CellID->32384538], -Cell[4410, 140, 213, 7, 35, "Output", +Cell[4409, 140, 213, 7, 35, "Output", CellTags->"$VeryVerbose", CellID->108969208] }, Open ]], -Cell[4638, 150, 159, 5, 27, "Input", +Cell[4637, 150, 159, 5, 27, "Input", CellTags->"$VeryVerbose", CellID->1791846668], Cell[CellGroupData[{ -Cell[4822, 159, 304, 11, 27, "Input", +Cell[4821, 159, 304, 11, 27, "Input", CellTags->"$VeryVerbose", CellID->836037655], Cell[CellGroupData[{ -Cell[5151, 174, 164, 4, 24, "Print", +Cell[5150, 174, 164, 4, 24, "Print", CellTags->"$VeryVerbose", CellID->862952163], -Cell[5318, 180, 331, 9, 24, "Print", +Cell[5317, 180, 331, 9, 24, "Print", CellTags->"$VeryVerbose", CellID->1766474446], -Cell[5652, 191, 165, 4, 22, "Print", +Cell[5651, 191, 165, 4, 22, "Print", CellTags->"$VeryVerbose", CellID->213277068], -Cell[5820, 197, 320, 9, 24, "Print", +Cell[5819, 197, 320, 9, 24, "Print", CellTags->"$VeryVerbose", CellID->1505382833], -Cell[6143, 208, 337, 9, 24, "Print", +Cell[6142, 208, 337, 9, 24, "Print", CellTags->"$VeryVerbose", CellID->314971425], -Cell[6483, 219, 261, 8, 22, "Print", +Cell[6482, 219, 261, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->396106533], -Cell[6747, 229, 261, 8, 22, "Print", +Cell[6746, 229, 261, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->398041849], -Cell[7011, 239, 262, 8, 22, "Print", +Cell[7010, 239, 262, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->2061966610], -Cell[7276, 249, 261, 8, 22, "Print", +Cell[7275, 249, 261, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->341728577], -Cell[7540, 259, 262, 8, 22, "Print", +Cell[7539, 259, 262, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->1928467842], -Cell[7805, 269, 262, 8, 22, "Print", +Cell[7804, 269, 262, 8, 22, "Print", CellTags->"$VeryVerbose", CellID->1801016605] }, Open ]] }, Open ]], -Cell[8094, 281, 148, 5, 27, "Input", +Cell[8093, 281, 148, 5, 27, "Input", CellTags->"$VeryVerbose", CellID->153803702] }, Open ]] }, Open ]], -Cell[8269, 290, 23, 0, 70, "FooterCell"] +Cell[8268, 290, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/A0.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/A0.nb index d97e41c89..87494cd9a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/A0.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/A0.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14255, 528] -NotebookOptionsPosition[ 9594, 369] -NotebookOutlinePosition[ 12591, 462] -CellTagsIndexPosition[ 12485, 456] +NotebookDataLength[ 14249, 528] +NotebookOptionsPosition[ 9592, 369] +NotebookOutlinePosition[ 12587, 462] +CellTagsIndexPosition[ 12481, 456] WindowTitle->A0 WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$19146], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$19196], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/A0", ".html"]], None}]}]}, @@ -147,7 +147,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1555578576], + CellID->368255141], Cell[CellGroupData[{ @@ -157,7 +157,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1015792116], + CellID->611479534], Cell[CellGroupData[{ @@ -172,7 +172,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"A0ToB0", "\[Rule]", "False"}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{115, 14}, + ImageSize->{115, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"A0", @@ -382,7 +382,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 25.309540}", + "built" -> "{2020, 6, 20, 19, 2, 2.542891}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -411,52 +411,52 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4607, 134, 388, 15, 31, "PrimaryExamplesSection", + Cell[4607, 134, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1555578576]}, + CellID->368255141]}, "A0"->{ - Cell[5241, 163, 127, 4, 27, "Input", + Cell[5239, 163, 127, 4, 27, "Input", CellTags->"A0", CellID->2057887955], - Cell[5371, 169, 268, 10, 35, "Output", + Cell[5369, 169, 268, 10, 37, "Output", CellTags->"A0", CellID->542622550], - Cell[5909, 196, 140, 5, 33, "Input", + Cell[5907, 196, 140, 5, 33, "Input", CellTags->"A0", CellID->1031510571], - Cell[6052, 203, 359, 14, 42, "Output", + Cell[6050, 203, 359, 14, 42, "Output", CellTags->"A0", CellID->575686779], - Cell[6426, 220, 205, 7, 27, "Input", + Cell[6424, 220, 205, 7, 27, "Input", CellTags->"A0", CellID->756011783], - Cell[6656, 231, 139, 5, 33, "Input", + Cell[6654, 231, 139, 5, 33, "Input", CellTags->"A0", CellID->120916988], - Cell[6798, 238, 587, 22, 42, "Output", + Cell[6796, 238, 587, 22, 42, "Output", CellTags->"A0", CellID->1401567293], - Cell[7400, 263, 207, 7, 27, "Input", + Cell[7398, 263, 207, 7, 27, "Input", CellTags->"A0", CellID->2110559283], - Cell[7841, 283, 116, 4, 27, "Input", + Cell[7839, 283, 116, 4, 27, "Input", CellTags->"A0", CellID->2090810903], - Cell[7960, 289, 203, 7, 35, "Output", + Cell[7958, 289, 203, 7, 35, "Output", CellTags->"A0", CellID->482521519], - Cell[8200, 301, 180, 6, 27, "Input", + Cell[8198, 301, 180, 6, 27, "Input", CellTags->"A0", CellID->1362180972], - Cell[8383, 309, 203, 7, 35, "Output", + Cell[8381, 309, 203, 7, 35, "Output", CellTags->"A0", CellID->359954026]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11345, 412}, - {"A0", 11475, 416} + {"PrimaryExamplesSection", 11342, 412}, + {"A0", 11471, 416} } *) (*NotebookFileOutline @@ -467,69 +467,69 @@ Cell[3782, 100, 279, 11, 45, "ObjectNameGrid"], Cell[4064, 113, 518, 17, 86, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4607, 134, 388, 15, 31, "PrimaryExamplesSection", +Cell[4607, 134, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1555578576], + CellID->368255141], Cell[CellGroupData[{ -Cell[5020, 153, 196, 6, 26, "ExampleSection", - CellID->1015792116], +Cell[5019, 153, 195, 6, 26, "ExampleSection", + CellID->611479534], Cell[CellGroupData[{ -Cell[5241, 163, 127, 4, 27, "Input", +Cell[5239, 163, 127, 4, 27, "Input", CellTags->"A0", CellID->2057887955], -Cell[5371, 169, 268, 10, 35, "Output", +Cell[5369, 169, 268, 10, 37, "Output", CellTags->"A0", CellID->542622550] }, Open ]], -Cell[5654, 182, 230, 10, 33, "Notes"], +Cell[5652, 182, 230, 10, 33, "Notes"], Cell[CellGroupData[{ -Cell[5909, 196, 140, 5, 33, "Input", +Cell[5907, 196, 140, 5, 33, "Input", CellTags->"A0", CellID->1031510571], -Cell[6052, 203, 359, 14, 42, "Output", +Cell[6050, 203, 359, 14, 42, "Output", CellTags->"A0", CellID->575686779] }, Open ]], -Cell[6426, 220, 205, 7, 27, "Input", +Cell[6424, 220, 205, 7, 27, "Input", CellTags->"A0", CellID->756011783], Cell[CellGroupData[{ -Cell[6656, 231, 139, 5, 33, "Input", +Cell[6654, 231, 139, 5, 33, "Input", CellTags->"A0", CellID->120916988], -Cell[6798, 238, 587, 22, 42, "Output", +Cell[6796, 238, 587, 22, 42, "Output", CellTags->"A0", CellID->1401567293] }, Open ]], -Cell[7400, 263, 207, 7, 27, "Input", +Cell[7398, 263, 207, 7, 27, "Input", CellTags->"A0", CellID->2110559283], -Cell[7610, 272, 206, 7, 33, "Notes"], +Cell[7608, 272, 206, 7, 33, "Notes"], Cell[CellGroupData[{ -Cell[7841, 283, 116, 4, 27, "Input", +Cell[7839, 283, 116, 4, 27, "Input", CellTags->"A0", CellID->2090810903], -Cell[7960, 289, 203, 7, 35, "Output", +Cell[7958, 289, 203, 7, 35, "Output", CellTags->"A0", CellID->482521519] }, Open ]], Cell[CellGroupData[{ -Cell[8200, 301, 180, 6, 27, "Input", +Cell[8198, 301, 180, 6, 27, "Input", CellTags->"A0", CellID->1362180972], -Cell[8383, 309, 203, 7, 35, "Output", +Cell[8381, 309, 203, 7, 35, "Output", CellTags->"A0", CellID->359954026] }, Open ]] }, Open ]], -Cell[8613, 320, 31, 0, 29, "SectionFooterSpacer"] +Cell[8611, 320, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8681, 325, 270, 12, 31, "SeeAlsoSection", +Cell[8679, 325, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8954, 339, 598, 25, 56, "SeeAlso"] +Cell[8952, 339, 598, 25, 56, "SeeAlso"] }, Open ]], -Cell[9567, 367, 23, 0, 41, "FooterCell"] +Cell[9565, 367, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/A0ToB0.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/A0ToB0.nb index 6d0afcb0c..8b3c81eb5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/A0ToB0.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/A0ToB0.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10315, 347] -NotebookOptionsPosition[ 7320, 257] -NotebookOutlinePosition[ 9615, 321] -CellTagsIndexPosition[ 9507, 315] +NotebookDataLength[ 10319, 347] +NotebookOptionsPosition[ 7322, 257] +NotebookOutlinePosition[ 9617, 321] +CellTagsIndexPosition[ 9509, 315] WindowTitle->A0ToB0 WindowFrame->Normal*) @@ -83,7 +83,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$19599], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$19653], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/A0ToB0", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->848113550], + CellID->1655459566], Cell[CellGroupData[{ @@ -176,7 +176,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->397079176], + CellID->1324133791], Cell[CellGroupData[{ @@ -191,7 +191,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"A0ToB0", "\[Rule]", "False"}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{115, 14}, + ImageSize->{115, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"A0ToB0", @@ -270,7 +270,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 27.616744}", + "built" -> "{2020, 6, 20, 19, 2, 5.159202}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -300,22 +300,22 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5133, 153, 387, 15, 31, "PrimaryExamplesSection", + Cell[5133, 153, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->848113550]}, + CellID->1655459566]}, "A0ToB0"->{ - Cell[5765, 182, 130, 4, 27, "Input", + Cell[5767, 182, 130, 4, 27, "Input", CellTags->"A0ToB0", CellID->750354701], - Cell[5898, 188, 273, 10, 35, "Output", + Cell[5900, 188, 273, 10, 37, "Output", CellTags->"A0ToB0", CellID->1727801355]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9177, 301}, - {"A0ToB0", 9310, 305} + {"PrimaryExamplesSection", 9178, 301}, + {"A0ToB0", 9312, 305} } *) (*NotebookFileOutline @@ -326,29 +326,29 @@ Cell[3862, 101, 283, 11, 45, "ObjectNameGrid"], Cell[4148, 114, 960, 35, 87, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5133, 153, 387, 15, 31, "PrimaryExamplesSection", +Cell[5133, 153, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->848113550], + CellID->1655459566], Cell[CellGroupData[{ -Cell[5545, 172, 195, 6, 26, "ExampleSection", - CellID->397079176], +Cell[5546, 172, 196, 6, 26, "ExampleSection", + CellID->1324133791], Cell[CellGroupData[{ -Cell[5765, 182, 130, 4, 27, "Input", +Cell[5767, 182, 130, 4, 27, "Input", CellTags->"A0ToB0", CellID->750354701], -Cell[5898, 188, 273, 10, 35, "Output", +Cell[5900, 188, 273, 10, 37, "Output", CellTags->"A0ToB0", CellID->1727801355] }, Open ]] }, Open ]], -Cell[6198, 202, 31, 0, 29, "SectionFooterSpacer"] +Cell[6200, 202, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6266, 207, 270, 12, 31, "SeeAlsoSection", +Cell[6268, 207, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6539, 221, 739, 31, 56, "SeeAlso"] +Cell[6541, 221, 739, 31, 56, "SeeAlso"] }, Open ]], -Cell[7293, 255, 23, 0, 41, "FooterCell"] +Cell[7295, 255, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Abbreviation.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Abbreviation.nb index 3410f129a..5139dd652 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Abbreviation.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Abbreviation.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11696, 373] +NotebookDataLength[ 11695, 373] NotebookOptionsPosition[ 8449, 280] -NotebookOutlinePosition[ 10982, 347] -CellTagsIndexPosition[ 10866, 341] +NotebookOutlinePosition[ 10981, 347] +CellTagsIndexPosition[ 10865, 341] WindowTitle->Abbreviation WindowFrame->Normal*) @@ -93,7 +93,7 @@ Abbreviation.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$20043], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$20097], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Abbreviation", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1627590208], + CellID->1544934511], Cell[CellGroupData[{ @@ -165,7 +165,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->786552231], + CellID->322407992], Cell[CellGroupData[{ @@ -293,7 +293,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 28.783117}", + "built" -> "{2020, 6, 20, 19, 2, 6.459414}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -328,7 +328,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5216, 142, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1627590208]}, + CellID->1544934511]}, "Abbreviation"->{ Cell[5849, 171, 284, 9, 27, "Input", CellTags->"Abbreviation", @@ -340,8 +340,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10518, 327}, - {"Abbreviation", 10658, 331} + {"PrimaryExamplesSection", 10517, 327}, + {"Abbreviation", 10657, 331} } *) (*NotebookFileOutline @@ -354,10 +354,10 @@ Cell[4611, 124, 580, 14, 119, "Usage", Cell[CellGroupData[{ Cell[5216, 142, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1627590208], + CellID->1544934511], Cell[CellGroupData[{ Cell[5629, 161, 195, 6, 26, "ExampleSection", - CellID->786552231], + CellID->322407992], Cell[CellGroupData[{ Cell[5849, 171, 284, 9, 27, "Input", CellTags->"Abbreviation", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AlphaFS.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AlphaFS.nb index 632d093de..9bf9f75b9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AlphaFS.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AlphaFS.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8874, 298] -NotebookOptionsPosition[ 5883, 207] -NotebookOutlinePosition[ 7973, 264] -CellTagsIndexPosition[ 7889, 259] +NotebookDataLength[ 8813, 297] +NotebookOptionsPosition[ 5882, 207] +NotebookOutlinePosition[ 7913, 263] +CellTagsIndexPosition[ 7829, 258] WindowTitle->AlphaFS WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$20484], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$20538], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/AlphaFS", ".html"]], None}]}]}, @@ -128,7 +128,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1465817695], + CellID->1131749643], Cell["", "SectionHeaderSpacer"], @@ -159,7 +159,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1531727520], + CellID->217688208], Cell[CellGroupData[{ @@ -169,7 +169,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2068155801], + CellID->1230892073], Cell[CellGroupData[{ @@ -208,7 +208,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"AlphaFS", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -220,7 +220,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 29.841000}", + "built" -> "{2020, 6, 20, 19, 2, 7.626381}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -240,8 +240,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -251,14 +250,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4591, 146, 388, 15, 31, "PrimaryExamplesSection", + Cell[4591, 146, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1531727520]} + CellID->217688208]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7745, 252} + {"PrimaryExamplesSection", 7686, 251} } *) (*NotebookFileOutline @@ -272,34 +271,34 @@ Cell[3159, 91, 385, 11, 85, "Usage", Cell[CellGroupData[{ Cell[3569, 106, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1465817695], -Cell[4311, 132, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4345, 134, 197, 6, 70, "Notes", + CellID->1131749643], +Cell[4311, 132, 31, 0, 14, "SectionHeaderSpacer"], +Cell[4345, 134, 197, 6, 32, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4591, 146, 388, 15, 31, "PrimaryExamplesSection", +Cell[4591, 146, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1531727520], + CellID->217688208], Cell[CellGroupData[{ -Cell[5004, 165, 196, 6, 26, "ExampleSection", - CellID->2068155801], +Cell[5003, 165, 196, 6, 26, "ExampleSection", + CellID->1230892073], Cell[CellGroupData[{ -Cell[5225, 175, 76, 2, 27, "Input", +Cell[5224, 175, 76, 2, 27, "Input", CellID->527800968], -Cell[5304, 179, 194, 6, 35, "Output", +Cell[5303, 179, 194, 6, 35, "Output", CellID->1767187053] }, Open ]], Cell[CellGroupData[{ -Cell[5535, 190, 101, 3, 27, "Input", +Cell[5534, 190, 101, 3, 27, "Input", CellID->353669473], -Cell[5639, 195, 178, 5, 51, "Output", +Cell[5638, 195, 178, 5, 51, "Output", CellID->1961649519] }, Open ]] }, Open ]] }, Open ]], -Cell[5856, 205, 23, 0, 41, "FooterCell"] +Cell[5855, 205, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AlphaStrong.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AlphaStrong.nb index d78d74be4..219e2f51a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AlphaStrong.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AlphaStrong.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9021, 301] -NotebookOptionsPosition[ 6016, 210] -NotebookOutlinePosition[ 8125, 267] -CellTagsIndexPosition[ 8041, 262] +NotebookDataLength[ 9027, 301] +NotebookOptionsPosition[ 6019, 210] +NotebookOutlinePosition[ 8128, 267] +CellTagsIndexPosition[ 8044, 262] WindowTitle->AlphaStrong WindowFrame->Normal*) @@ -59,7 +59,7 @@ AlphaStrong.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$20915], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$20969], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/AlphaStrong", ".html"]], None}]}]}, @@ -130,7 +130,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->169594564], + CellID->1931054948], Cell["", "SectionHeaderSpacer"], @@ -161,7 +161,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->524235950], + CellID->1815723488], Cell[CellGroupData[{ @@ -171,7 +171,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->73102174], + CellID->383209353], Cell[CellGroupData[{ @@ -210,7 +210,7 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, +WindowSize->{808, 840}, WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"AlphaStrong", TaggingRules->{ @@ -223,7 +223,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 30.950803}", + "built" -> "{2020, 6, 20, 19, 2, 8.827427}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -244,7 +244,7 @@ StyleDefinitions->Notebook[{ StyleData["Input"], CellContext -> "Global`"], Cell[ StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -254,14 +254,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4703, 148, 387, 15, 31, "PrimaryExamplesSection", + Cell[4704, 148, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->524235950]} + CellID->1815723488]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7898, 255} + {"PrimaryExamplesSection", 7900, 255} } *) (*NotebookFileOutline @@ -273,36 +273,36 @@ Cell[CellGroupData[{ Cell[3184, 91, 470, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3679, 108, 738, 24, 31, "NotesSection", +Cell[3679, 108, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->169594564], -Cell[4420, 134, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4454, 136, 200, 6, 70, "Notes", + CellID->1931054948], +Cell[4421, 134, 31, 0, 70, "SectionHeaderSpacer"], +Cell[4455, 136, 200, 6, 70, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4703, 148, 387, 15, 31, "PrimaryExamplesSection", +Cell[4704, 148, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->524235950], + CellID->1815723488], Cell[CellGroupData[{ -Cell[5115, 167, 194, 6, 26, "ExampleSection", - CellID->73102174], +Cell[5117, 167, 195, 6, 26, "ExampleSection", + CellID->383209353], Cell[CellGroupData[{ -Cell[5334, 177, 80, 2, 27, "Input", +Cell[5337, 177, 80, 2, 27, "Input", CellID->242614212], -Cell[5417, 181, 215, 7, 37, "Output", +Cell[5420, 181, 215, 7, 37, "Output", CellID->757680076] }, Open ]], Cell[CellGroupData[{ -Cell[5669, 193, 102, 3, 27, "Input", +Cell[5672, 193, 102, 3, 27, "Input", CellID->1787119639], -Cell[5774, 198, 176, 5, 51, "Output", +Cell[5777, 198, 176, 5, 51, "Output", CellID->573753393] }, Open ]] }, Open ]] }, Open ]], -Cell[5989, 208, 23, 0, 41, "FooterCell"] +Cell[5992, 208, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Amplitude.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Amplitude.nb index 4dd894cb8..64908b105 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Amplitude.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Amplitude.nb @@ -12,8 +12,8 @@ NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] NotebookDataLength[ 26823, 868] NotebookOptionsPosition[ 22694, 747] -NotebookOutlinePosition[ 25711, 827] -CellTagsIndexPosition[ 25598, 821] +NotebookOutlinePosition[ 25710, 827] +CellTagsIndexPosition[ 25597, 821] WindowTitle->Amplitude WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$21347], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$21401], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Amplitude", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1985527587], + CellID->1870247704], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->565997814], + CellID->1262964647], Cell[CellGroupData[{ @@ -353,7 +353,7 @@ Cell[BoxData[ RowBox[{"FCGV", "(", "\<\"p\"\>", ")"}], "-", RowBox[{"FCGV", "(", "\<\"q\"\>", ")"}]}], TraditionalForm], ")"}]}], ")"}], TraditionalForm]], "Output", - ImageSize->{522, 111}, + ImageSize->{623, 89}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Amplitude", @@ -706,7 +706,7 @@ Cell[BoxData[ FeynCalc`Momentum[FeynCalc`FCGV["p"] - FeynCalc`FCGV["q"], D]]], Editable->False]}], ")"}]}], ")"}]}], TraditionalForm], TraditionalForm]], "Output", - ImageSize->{472, 210}, + ImageSize->{609, 191}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Amplitude", @@ -747,7 +747,7 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, +WindowSize->{808, 840}, WindowMargins->{{268, Automatic}, {Automatic, 20}}, WindowTitle->"Amplitude", TaggingRules->{ @@ -760,7 +760,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 32.078733}", + "built" -> "{2020, 6, 20, 19, 2, 9.855598}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -798,30 +798,30 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4684, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1985527587]}, + CellID->1870247704]}, "Amplitude"->{ - Cell[5317, 160, 154, 5, 27, "Input", + Cell[5318, 160, 154, 5, 27, "Input", CellTags->"Amplitude", CellID->1213293963], - Cell[5474, 167, 211, 7, 35, "Output", + Cell[5475, 167, 211, 7, 35, "Output", CellTags->"Amplitude", CellID->680936529], - Cell[5795, 181, 140, 4, 27, "Input", + Cell[5796, 181, 140, 4, 27, "Input", CellTags->"Amplitude", CellID->69921964], - Cell[5938, 187, 4775, 172, 132, "Output", + Cell[5939, 187, 4774, 172, 110, "Output", CellTags->"Amplitude"], Cell[10750, 364, 128, 4, 27, "Input", CellTags->"Amplitude", CellID->863772966], - Cell[10881, 370, 11219, 342, 231, "Output", + Cell[10881, 370, 11219, 342, 212, "Output", CellTags->"Amplitude"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 24939, 797}, - {"Amplitude", 25076, 801} + {"PrimaryExamplesSection", 24938, 797}, + {"Amplitude", 25075, 801} } *) (*NotebookFileOutline @@ -829,36 +829,36 @@ Notebook[{ Cell[581, 21, 3003, 74, 53, "AnchorBarGrid", CellID->1], Cell[3587, 97, 286, 11, 45, "ObjectNameGrid"], -Cell[3876, 110, 783, 17, 154, "Usage", +Cell[3876, 110, 783, 17, 136, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[4684, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1985527587], + CellID->1870247704], Cell[CellGroupData[{ -Cell[5097, 150, 195, 6, 26, "ExampleSection", - CellID->565997814], +Cell[5097, 150, 196, 6, 26, "ExampleSection", + CellID->1262964647], Cell[CellGroupData[{ -Cell[5317, 160, 154, 5, 27, "Input", +Cell[5318, 160, 154, 5, 27, "Input", CellTags->"Amplitude", CellID->1213293963], -Cell[5474, 167, 211, 7, 35, "Output", +Cell[5475, 167, 211, 7, 35, "Output", CellTags->"Amplitude", CellID->680936529] }, Open ]], -Cell[5700, 177, 70, 0, 32, "Notes"], +Cell[5701, 177, 70, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[5795, 181, 140, 4, 27, "Input", +Cell[5796, 181, 140, 4, 27, "Input", CellTags->"Amplitude", CellID->69921964], -Cell[5938, 187, 4775, 172, 132, "Output", +Cell[5939, 187, 4774, 172, 110, "Output", CellTags->"Amplitude"] }, Open ]], Cell[CellGroupData[{ Cell[10750, 364, 128, 4, 27, "Input", CellTags->"Amplitude", CellID->863772966], -Cell[10881, 370, 11219, 342, 231, "Output", +Cell[10881, 370, 11219, 342, 212, "Output", CellTags->"Amplitude"] }, Open ]] }, Open ]], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Amputate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Amputate.nb index e12b2dd10..a5b51274f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Amputate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Amputate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13917, 483] -NotebookOptionsPosition[ 10034, 363] -NotebookOutlinePosition[ 12646, 436] -CellTagsIndexPosition[ 12534, 430] +NotebookDataLength[ 13916, 483] +NotebookOptionsPosition[ 10035, 363] +NotebookOutlinePosition[ 12644, 436] +CellTagsIndexPosition[ 12532, 430] WindowTitle->Amputate WindowFrame->Normal*) @@ -86,7 +86,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$21786], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$21840], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Amputate", ".html"]], None}]}]}, @@ -160,7 +160,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1409029404], + CellID->1778339249], Cell["", "SectionHeaderSpacer"], @@ -207,7 +207,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1219110035], + CellID->1531278670], Cell[CellGroupData[{ @@ -217,7 +217,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->377177486], + CellID->1058327577], Cell[CellGroupData[{ @@ -364,7 +364,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"Amputate", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -376,7 +376,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 33.254118}", + "built" -> "{2020, 6, 20, 19, 2, 11.319310}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -411,26 +411,26 @@ CellTagsIndex->{ CellID->1884550851], Cell[5764, 174, 385, 13, 37, "Output", CellTags->"Amputate"], - Cell[6843, 223, 173, 6, 27, "Input", + Cell[6844, 223, 173, 6, 27, "Input", CellTags->"Amputate", CellID->479729855], - Cell[7019, 231, 699, 27, 37, "Output", + Cell[7020, 231, 699, 27, 37, "Output", CellTags->"Amputate"], - Cell[7755, 263, 151, 5, 27, "Input", + Cell[7756, 263, 151, 5, 27, "Input", CellTags->"Amputate", CellID->1612122659], - Cell[7909, 270, 901, 34, 40, "Output", + Cell[7910, 270, 901, 34, 40, "Output", CellTags->"Amputate"]}, "PrimaryExamplesSection"->{ Cell[6210, 194, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1219110035]} + CellID->1531278670]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Amputate", 11896, 407}, - {"PrimaryExamplesSection", 12390, 423} + {"Amputate", 11894, 407}, + {"PrimaryExamplesSection", 12388, 423} } *) (*NotebookFileOutline @@ -444,7 +444,7 @@ Cell[4256, 119, 546, 15, 102, "Usage", Cell[CellGroupData[{ Cell[4827, 138, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1409029404], + CellID->1778339249], Cell[5569, 164, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5625, 168, 136, 4, 70, "Input", @@ -458,33 +458,33 @@ Cell[5764, 174, 385, 13, 37, "Output", Cell[CellGroupData[{ Cell[6210, 194, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1219110035], + CellID->1531278670], Cell[CellGroupData[{ -Cell[6623, 213, 195, 6, 26, "ExampleSection", - CellID->377177486], +Cell[6623, 213, 196, 6, 26, "ExampleSection", + CellID->1058327577], Cell[CellGroupData[{ -Cell[6843, 223, 173, 6, 27, "Input", +Cell[6844, 223, 173, 6, 27, "Input", CellTags->"Amputate", CellID->479729855], -Cell[7019, 231, 699, 27, 37, "Output", +Cell[7020, 231, 699, 27, 37, "Output", CellTags->"Amputate"] }, Open ]], Cell[CellGroupData[{ -Cell[7755, 263, 151, 5, 27, "Input", +Cell[7756, 263, 151, 5, 27, "Input", CellTags->"Amputate", CellID->1612122659], -Cell[7909, 270, 901, 34, 40, "Output", +Cell[7910, 270, 901, 34, 40, "Output", CellTags->"Amputate"] }, Open ]] }, Open ]], -Cell[8837, 308, 31, 0, 29, "SectionFooterSpacer"] +Cell[8838, 308, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8905, 313, 270, 12, 31, "SeeAlsoSection", +Cell[8906, 313, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9178, 327, 814, 31, 56, "SeeAlso"] +Cell[9179, 327, 814, 31, 56, "SeeAlso"] }, Open ]], -Cell[10007, 361, 23, 0, 41, "FooterCell"] +Cell[10008, 361, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AnomalousDimension.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AnomalousDimension.nb index be10c86c1..ba3499c66 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AnomalousDimension.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AnomalousDimension.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 50887, 1772] +NotebookDataLength[ 50886, 1772] NotebookOptionsPosition[ 42581, 1518] -NotebookOutlinePosition[ 47051, 1642] -CellTagsIndexPosition[ 46927, 1636] +NotebookOutlinePosition[ 47050, 1642] +CellTagsIndexPosition[ 46926, 1636] WindowTitle->AnomalousDimension WindowFrame->Normal*) @@ -82,7 +82,7 @@ AnomalousDimension.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$22229], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$22283], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/AnomalousDimension", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->730833760], + CellID->146672567], Cell["", "SectionHeaderSpacer"], @@ -199,7 +199,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->398661237], + CellID->1859396561], Cell[CellGroupData[{ @@ -209,7 +209,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1902264668], + CellID->176273479], Cell["Polarized case:", "Notes"], @@ -1464,7 +1464,7 @@ Cell[BoxData[ RowBox[{ "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], TraditionalForm]], "Output", - ImageSize->{169, 14}, + ImageSize->{169, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"AnomalousDimension", @@ -1519,7 +1519,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 31}}, WindowTitle->"AnomalousDimension", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1531,7 +1531,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 34.453606}", + "built" -> "{2020, 6, 20, 19, 2, 12.709765}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1625,18 +1625,18 @@ CellTagsIndex->{ Cell[41003, 1448, 315, 10, 27, "Input", CellTags->"AnomalousDimension", CellID->621534472], - Cell[41321, 1460, 327, 10, 35, "Output", + Cell[41321, 1460, 327, 10, 37, "Output", CellTags->"AnomalousDimension"]}, "PrimaryExamplesSection"->{ - Cell[5954, 186, 387, 15, 31, "PrimaryExamplesSection", + Cell[5954, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->398661237]} + CellID->1859396561]} } *) (*CellTagsIndex CellTagsIndex->{ - {"AnomalousDimension", 44423, 1562}, - {"PrimaryExamplesSection", 46784, 1629} + {"AnomalousDimension", 44421, 1562}, + {"PrimaryExamplesSection", 46782, 1629} } *) (*NotebookFileOutline @@ -1650,7 +1650,7 @@ Cell[4137, 115, 415, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4577, 131, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->730833760], + CellID->146672567], Cell[5318, 157, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5374, 161, 154, 4, 70, "Input", @@ -1663,12 +1663,12 @@ Cell[5531, 167, 362, 12, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5954, 186, 387, 15, 31, "PrimaryExamplesSection", +Cell[5954, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->398661237], + CellID->1859396561], Cell[CellGroupData[{ -Cell[6366, 205, 196, 6, 26, "ExampleSection", - CellID->1902264668], +Cell[6367, 205, 195, 6, 26, "ExampleSection", + CellID->176273479], Cell[6565, 213, 32, 0, 32, "Notes"], Cell[CellGroupData[{ Cell[6622, 217, 226, 6, 27, "Input", @@ -1677,7 +1677,7 @@ Cell[6622, 217, 226, 6, 27, "Input", Cell[6851, 225, 341, 11, 37, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[7207, 239, 210, 8, 41, "Notes"], +Cell[7207, 239, 210, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[7442, 251, 152, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1685,7 +1685,7 @@ Cell[7442, 251, 152, 4, 27, "Input", Cell[7597, 257, 549, 20, 55, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[8161, 280, 209, 8, 41, "Notes"], +Cell[8161, 280, 209, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[8395, 292, 152, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1693,7 +1693,7 @@ Cell[8395, 292, 152, 4, 27, "Input", Cell[8550, 298, 371, 13, 57, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[8936, 314, 209, 8, 41, "Notes"], +Cell[8936, 314, 209, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[9170, 326, 152, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1701,7 +1701,7 @@ Cell[9170, 326, 152, 4, 27, "Input", Cell[9325, 332, 370, 13, 55, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[9710, 348, 209, 8, 41, "Notes"], +Cell[9710, 348, 209, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[9944, 360, 151, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1709,7 +1709,7 @@ Cell[9944, 360, 151, 4, 27, "Input", Cell[10098, 366, 681, 24, 57, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[10794, 393, 210, 8, 41, "Notes"], +Cell[10794, 393, 210, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[11029, 405, 153, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1717,7 +1717,7 @@ Cell[11029, 405, 153, 4, 27, "Input", Cell[11185, 411, 776, 26, 61, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[11976, 440, 210, 8, 41, "Notes"], +Cell[11976, 440, 210, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[12211, 452, 153, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1725,7 +1725,7 @@ Cell[12211, 452, 153, 4, 27, "Input", Cell[12367, 458, 6694, 221, 406, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[19076, 682, 209, 8, 41, "Notes"], +Cell[19076, 682, 209, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[19310, 694, 152, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1733,7 +1733,7 @@ Cell[19310, 694, 152, 4, 27, "Input", Cell[19465, 700, 4204, 143, 278, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[23684, 846, 209, 8, 41, "Notes"], +Cell[23684, 846, 209, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[23918, 858, 152, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1741,7 +1741,7 @@ Cell[23918, 858, 152, 4, 27, "Input", Cell[24073, 864, 6310, 215, 375, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[30398, 1082, 209, 8, 41, "Notes"], +Cell[30398, 1082, 209, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[30632, 1094, 153, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1749,7 +1749,7 @@ Cell[30632, 1094, 153, 4, 27, "Input", Cell[30788, 1100, 4999, 169, 302, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[35802, 1272, 236, 8, 41, "Notes"], +Cell[35802, 1272, 236, 8, 42, "Notes"], Cell[CellGroupData[{ Cell[36063, 1284, 152, 4, 27, "Input", CellTags->"AnomalousDimension", @@ -1757,12 +1757,12 @@ Cell[36063, 1284, 152, 4, 27, "Input", Cell[36218, 1290, 4468, 142, 313, "Output", CellTags->"AnomalousDimension"] }, Open ]], -Cell[40701, 1435, 277, 9, 41, "Notes"], +Cell[40701, 1435, 277, 9, 42, "Notes"], Cell[CellGroupData[{ Cell[41003, 1448, 315, 10, 27, "Input", CellTags->"AnomalousDimension", CellID->621534472], -Cell[41321, 1460, 327, 10, 35, "Output", +Cell[41321, 1460, 327, 10, 37, "Output", CellTags->"AnomalousDimension"] }, Open ]] }, Open ]], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Anti5.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Anti5.nb index 94dc66a31..31e600c88 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Anti5.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Anti5.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 24372, 935] -NotebookOptionsPosition[ 17878, 720] -NotebookOutlinePosition[ 21450, 825] -CellTagsIndexPosition[ 21341, 819] +NotebookDataLength[ 24370, 935] +NotebookOptionsPosition[ 17877, 720] +NotebookOutlinePosition[ 21449, 825] +CellTagsIndexPosition[ 21340, 819] WindowTitle->Anti5 WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$22719], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$22773], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Anti5", ".html"]], None}]}]}, @@ -178,7 +178,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->863395348], + CellID->230821544], Cell["", "SectionHeaderSpacer"], @@ -191,7 +191,7 @@ Cell[BoxData[ Cell[BoxData[ FormBox[ RowBox[{"{", "}"}], TraditionalForm]], "Output", - ImageSize->{16, 14}, + ImageSize->{16, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[54]="] @@ -216,7 +216,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2006703176], + CellID->1265168894], Cell[CellGroupData[{ @@ -226,7 +226,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1562593174], + CellID->859318645], Cell[CellGroupData[{ @@ -733,7 +733,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 36.057309}", + "built" -> "{2020, 6, 20, 19, 2, 14.347561}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -767,59 +767,59 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6410, 203, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2006703176]}, + CellID->1265168894]}, "Anti5"->{ - Cell[7044, 232, 165, 6, 27, "Input", + Cell[7043, 232, 165, 6, 27, "Input", CellTags->"Anti5", CellID->2080632323], - Cell[7212, 240, 515, 21, 40, "Output", + Cell[7211, 240, 515, 21, 40, "Output", CellTags->"Anti5"], - Cell[7764, 266, 122, 4, 27, "Input", + Cell[7763, 266, 122, 4, 27, "Input", CellTags->"Anti5", CellID->1232582412], - Cell[7889, 272, 466, 18, 40, "Output", + Cell[7888, 272, 466, 18, 40, "Output", CellTags->"Anti5"], - Cell[8522, 301, 164, 6, 27, "Input", + Cell[8521, 301, 164, 6, 27, "Input", CellTags->"Anti5", CellID->1609506190], - Cell[8689, 309, 437, 17, 40, "Output", + Cell[8688, 309, 437, 17, 40, "Output", CellTags->"Anti5"], - Cell[9163, 331, 205, 7, 27, "Input", + Cell[9162, 331, 205, 7, 27, "Input", CellTags->"Anti5", CellID->1286690073], - Cell[9371, 340, 1082, 45, 40, "Output", + Cell[9370, 340, 1082, 45, 40, "Output", CellTags->"Anti5"], - Cell[10490, 390, 144, 5, 27, "Input", + Cell[10489, 390, 144, 5, 27, "Input", CellTags->"Anti5", CellID->197831622], - Cell[10637, 397, 884, 35, 40, "Output", + Cell[10636, 397, 884, 35, 40, "Output", CellTags->"Anti5"], - Cell[11558, 437, 153, 5, 27, "Input", + Cell[11557, 437, 153, 5, 27, "Input", CellTags->"Anti5", CellID->1010214576], - Cell[11714, 444, 884, 35, 40, "Output", + Cell[11713, 444, 884, 35, 40, "Output", CellTags->"Anti5"], - Cell[12635, 484, 171, 6, 27, "Input", + Cell[12634, 484, 171, 6, 27, "Input", CellTags->"Anti5", CellID->1359760692], - Cell[12809, 492, 884, 35, 40, "Output", + Cell[12808, 492, 884, 35, 40, "Output", CellTags->"Anti5"], - Cell[14209, 553, 149, 5, 27, "Input", + Cell[14208, 553, 149, 5, 27, "Input", CellTags->"Anti5", CellID->1799781971], - Cell[14361, 560, 451, 18, 40, "Output", + Cell[14360, 560, 451, 18, 40, "Output", CellTags->"Anti5"], - Cell[14849, 583, 120, 4, 27, "Input", + Cell[14848, 583, 120, 4, 27, "Input", CellTags->"Anti5", CellID->42617734], - Cell[14972, 589, 440, 17, 40, "Output", + Cell[14971, 589, 440, 17, 40, "Output", CellTags->"Anti5"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 19835, 766}, - {"Anti5", 19968, 770} + {"PrimaryExamplesSection", 19834, 766}, + {"Anti5", 19967, 770} } *) (*NotebookFileOutline @@ -833,110 +833,110 @@ Cell[4074, 115, 1177, 37, 211, "Usage", Cell[CellGroupData[{ Cell[5276, 156, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->863395348], + CellID->230821544], Cell[6017, 182, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[6073, 186, 88, 2, 70, "Input"], -Cell[6164, 190, 185, 6, 35, "Output"] +Cell[6164, 190, 185, 6, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell[6410, 203, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2006703176], + CellID->1265168894], Cell[CellGroupData[{ -Cell[6823, 222, 196, 6, 26, "ExampleSection", - CellID->1562593174], +Cell[6823, 222, 195, 6, 26, "ExampleSection", + CellID->859318645], Cell[CellGroupData[{ -Cell[7044, 232, 165, 6, 27, "Input", +Cell[7043, 232, 165, 6, 27, "Input", CellTags->"Anti5", CellID->2080632323], -Cell[7212, 240, 515, 21, 40, "Output", +Cell[7211, 240, 515, 21, 40, "Output", CellTags->"Anti5"] }, Open ]], Cell[CellGroupData[{ -Cell[7764, 266, 122, 4, 27, "Input", +Cell[7763, 266, 122, 4, 27, "Input", CellTags->"Anti5", CellID->1232582412], -Cell[7889, 272, 466, 18, 40, "Output", +Cell[7888, 272, 466, 18, 40, "Output", CellTags->"Anti5"] }, Open ]], Cell[CellGroupData[{ -Cell[8392, 295, 105, 2, 9, "ExampleDelimiter"], +Cell[8391, 295, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[8522, 301, 164, 6, 27, "Input", +Cell[8521, 301, 164, 6, 27, "Input", CellTags->"Anti5", CellID->1609506190], -Cell[8689, 309, 437, 17, 40, "Output", +Cell[8688, 309, 437, 17, 40, "Output", CellTags->"Anti5"] }, Open ]], Cell[CellGroupData[{ -Cell[9163, 331, 205, 7, 27, "Input", +Cell[9162, 331, 205, 7, 27, "Input", CellTags->"Anti5", CellID->1286690073], -Cell[9371, 340, 1082, 45, 40, "Output", +Cell[9370, 340, 1082, 45, 40, "Output", CellTags->"Anti5"] }, Open ]], Cell[CellGroupData[{ -Cell[10490, 390, 144, 5, 27, "Input", +Cell[10489, 390, 144, 5, 27, "Input", CellTags->"Anti5", CellID->197831622], -Cell[10637, 397, 884, 35, 40, "Output", +Cell[10636, 397, 884, 35, 40, "Output", CellTags->"Anti5"] }, Open ]], Cell[CellGroupData[{ -Cell[11558, 437, 153, 5, 27, "Input", +Cell[11557, 437, 153, 5, 27, "Input", CellTags->"Anti5", CellID->1010214576], -Cell[11714, 444, 884, 35, 40, "Output", +Cell[11713, 444, 884, 35, 40, "Output", CellTags->"Anti5"] }, Open ]], Cell[CellGroupData[{ -Cell[12635, 484, 171, 6, 27, "Input", +Cell[12634, 484, 171, 6, 27, "Input", CellTags->"Anti5", CellID->1359760692], -Cell[12809, 492, 884, 35, 40, "Output", +Cell[12808, 492, 884, 35, 40, "Output", CellTags->"Anti5"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[13742, 533, 105, 2, 9, "ExampleDelimiter"], -Cell[13850, 537, 334, 12, 32, "Notes"], +Cell[13741, 533, 105, 2, 9, "ExampleDelimiter"], +Cell[13849, 537, 334, 12, 32, "Notes"], Cell[CellGroupData[{ -Cell[14209, 553, 149, 5, 27, "Input", +Cell[14208, 553, 149, 5, 27, "Input", CellTags->"Anti5", CellID->1799781971], -Cell[14361, 560, 451, 18, 40, "Output", +Cell[14360, 560, 451, 18, 40, "Output", CellTags->"Anti5"] }, Open ]], Cell[CellGroupData[{ -Cell[14849, 583, 120, 4, 27, "Input", +Cell[14848, 583, 120, 4, 27, "Input", CellTags->"Anti5", CellID->42617734], -Cell[14972, 589, 440, 17, 40, "Output", +Cell[14971, 589, 440, 17, 40, "Output", CellTags->"Anti5"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[15461, 612, 105, 2, 9, "ExampleDelimiter"], -Cell[15569, 616, 202, 6, 32, "Notes"], -Cell[15774, 624, 128, 4, 27, "Input"], +Cell[15460, 612, 105, 2, 9, "ExampleDelimiter"], +Cell[15568, 616, 202, 6, 32, "Notes"], +Cell[15773, 624, 128, 4, 27, "Input"], Cell[CellGroupData[{ -Cell[15927, 632, 141, 4, 27, "Input"], -Cell[16071, 638, 723, 28, 40, "Output"] +Cell[15926, 632, 141, 4, 27, "Input"], +Cell[16070, 638, 723, 28, 40, "Output"] }, Open ]], -Cell[16809, 669, 127, 4, 27, "Input"] +Cell[16808, 669, 127, 4, 27, "Input"] }, Open ]] }, Open ]], -Cell[16963, 677, 31, 0, 29, "SectionFooterSpacer"] +Cell[16962, 677, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[17031, 682, 270, 12, 31, "SeeAlsoSection", +Cell[17030, 682, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[17304, 696, 532, 19, 56, "SeeAlso"] +Cell[17303, 696, 532, 19, 56, "SeeAlso"] }, Open ]], -Cell[17851, 718, 23, 0, 41, "FooterCell"] +Cell[17850, 718, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AntiCommutator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AntiCommutator.nb index 7ebcda5bc..8c8c69416 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AntiCommutator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AntiCommutator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19309, 682] -NotebookOptionsPosition[ 12854, 478] -NotebookOutlinePosition[ 16771, 591] -CellTagsIndexPosition[ 16653, 585] +NotebookDataLength[ 19312, 682] +NotebookOptionsPosition[ 12855, 478] +NotebookOutlinePosition[ 16773, 591] +CellTagsIndexPosition[ 16655, 585] WindowTitle->AntiCommutator WindowFrame->Normal*) @@ -84,7 +84,7 @@ AntiCommutator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$23172], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$23226], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/AntiCommutator", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->150157100], + CellID->1735971381], Cell[CellGroupData[{ @@ -160,7 +160,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1241487278], + CellID->1611647630], Cell[TextData[{ "This declares ", @@ -203,7 +203,7 @@ Cell[BoxData[ TraditionalForm], FormBox["\<\"}\"\>", TraditionalForm]}], TraditionalForm]], "Output", - ImageSize->{61, 14}, + ImageSize->{61, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"AntiCommutator", @@ -479,7 +479,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"AntiCommutator", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -491,7 +491,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 37.334212}", + "built" -> "{2020, 6, 20, 19, 2, 15.645049}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -521,71 +521,71 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4827, 137, 387, 15, 31, "PrimaryExamplesSection", + Cell[4827, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->150157100]}, + CellID->1735971381]}, "AntiCommutator"->{ - Cell[5613, 174, 169, 5, 27, "Input", + Cell[5614, 174, 169, 5, 27, "Input", CellTags->"AntiCommutator", CellID->756062925], - Cell[5807, 183, 163, 5, 27, "Input", + Cell[5808, 183, 163, 5, 27, "Input", CellTags->"AntiCommutator", CellID->1726378547], - Cell[5973, 190, 482, 19, 35, "Output", + Cell[5974, 190, 482, 19, 37, "Output", CellTags->"AntiCommutator"], - Cell[6492, 214, 143, 4, 27, "Input", + Cell[6493, 214, 143, 4, 27, "Input", CellTags->"AntiCommutator", CellID->693384404], - Cell[6638, 220, 266, 9, 35, "Output", + Cell[6639, 220, 266, 9, 35, "Output", CellTags->"AntiCommutator"], - Cell[6941, 234, 285, 9, 27, "Input", + Cell[6942, 234, 285, 9, 27, "Input", CellTags->"AntiCommutator", CellID->1495920503], - Cell[7229, 245, 525, 19, 37, "Output", + Cell[7230, 245, 525, 19, 37, "Output", CellTags->"AntiCommutator"], - Cell[7791, 269, 277, 9, 27, "Input", + Cell[7792, 269, 277, 9, 27, "Input", CellTags->"AntiCommutator", CellID->871283752], - Cell[8071, 280, 405, 14, 35, "Output", + Cell[8072, 280, 405, 14, 35, "Output", CellTags->"AntiCommutator"], - Cell[8491, 297, 237, 7, 38, "Input", + Cell[8492, 297, 237, 7, 38, "Input", CellTags->"AntiCommutator", CellID->422937377], - Cell[8832, 310, 197, 6, 27, "Input", + Cell[8833, 310, 197, 6, 27, "Input", CellTags->"AntiCommutator", CellID->1154888291], - Cell[9032, 318, 195, 6, 35, "Output", + Cell[9033, 318, 195, 6, 35, "Output", CellTags->"AntiCommutator"], - Cell[9264, 329, 201, 6, 27, "Input", + Cell[9265, 329, 201, 6, 27, "Input", CellTags->"AntiCommutator", CellID->400792382], - Cell[9468, 337, 276, 9, 35, "Output", + Cell[9469, 337, 276, 9, 35, "Output", CellTags->"AntiCommutator"], - Cell[9781, 351, 269, 9, 38, "Input", + Cell[9782, 351, 269, 9, 38, "Input", CellTags->"AntiCommutator", CellID->392638266], - Cell[10053, 362, 218, 7, 35, "Output", + Cell[10054, 362, 218, 7, 35, "Output", CellTags->"AntiCommutator"], - Cell[10308, 374, 272, 8, 38, "Input", + Cell[10309, 374, 272, 8, 38, "Input", CellTags->"AntiCommutator", CellID->598753128], - Cell[10583, 384, 402, 14, 39, "Output", + Cell[10584, 384, 402, 14, 39, "Output", CellTags->"AntiCommutator"], - Cell[11000, 401, 260, 7, 38, "Input", + Cell[11001, 401, 260, 7, 38, "Input", CellTags->"AntiCommutator", CellID->108727372], - Cell[11263, 410, 196, 6, 27, "Input", + Cell[11264, 410, 196, 6, 27, "Input", CellTags->"AntiCommutator", CellID->873286670], - Cell[11462, 418, 246, 8, 38, "Input", + Cell[11463, 418, 246, 8, 38, "Input", CellTags->"AntiCommutator", CellID->702830390]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14690, 522}, - {"AntiCommutator", 14831, 526} + {"PrimaryExamplesSection", 14691, 522}, + {"AntiCommutator", 14833, 526} } *) (*NotebookFileOutline @@ -596,94 +596,94 @@ Cell[3939, 102, 291, 11, 45, "ObjectNameGrid"], Cell[4233, 115, 569, 18, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4827, 137, 387, 15, 31, "PrimaryExamplesSection", +Cell[4827, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->150157100], + CellID->1735971381], Cell[CellGroupData[{ -Cell[5239, 156, 196, 6, 26, "ExampleSection", - CellID->1241487278], -Cell[5438, 164, 172, 8, 32, "Notes"], -Cell[5613, 174, 169, 5, 27, "Input", +Cell[5240, 156, 196, 6, 26, "ExampleSection", + CellID->1611647630], +Cell[5439, 164, 172, 8, 32, "Notes"], +Cell[5614, 174, 169, 5, 27, "Input", CellTags->"AntiCommutator", CellID->756062925], Cell[CellGroupData[{ -Cell[5807, 183, 163, 5, 27, "Input", +Cell[5808, 183, 163, 5, 27, "Input", CellTags->"AntiCommutator", CellID->1726378547], -Cell[5973, 190, 482, 19, 35, "Output", +Cell[5974, 190, 482, 19, 37, "Output", CellTags->"AntiCommutator"] }, Open ]], Cell[CellGroupData[{ -Cell[6492, 214, 143, 4, 27, "Input", +Cell[6493, 214, 143, 4, 27, "Input", CellTags->"AntiCommutator", CellID->693384404], -Cell[6638, 220, 266, 9, 35, "Output", +Cell[6639, 220, 266, 9, 35, "Output", CellTags->"AntiCommutator"] }, Open ]], Cell[CellGroupData[{ -Cell[6941, 234, 285, 9, 27, "Input", +Cell[6942, 234, 285, 9, 27, "Input", CellTags->"AntiCommutator", CellID->1495920503], -Cell[7229, 245, 525, 19, 37, "Output", +Cell[7230, 245, 525, 19, 37, "Output", CellTags->"AntiCommutator"] }, Open ]], Cell[CellGroupData[{ -Cell[7791, 269, 277, 9, 27, "Input", +Cell[7792, 269, 277, 9, 27, "Input", CellTags->"AntiCommutator", CellID->871283752], -Cell[8071, 280, 405, 14, 35, "Output", +Cell[8072, 280, 405, 14, 35, "Output", CellTags->"AntiCommutator"] }, Open ]], -Cell[8491, 297, 237, 7, 38, "Input", +Cell[8492, 297, 237, 7, 38, "Input", CellTags->"AntiCommutator", CellID->422937377], -Cell[8731, 306, 76, 0, 32, "Notes"], +Cell[8732, 306, 76, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[8832, 310, 197, 6, 27, "Input", +Cell[8833, 310, 197, 6, 27, "Input", CellTags->"AntiCommutator", CellID->1154888291], -Cell[9032, 318, 195, 6, 35, "Output", +Cell[9033, 318, 195, 6, 35, "Output", CellTags->"AntiCommutator"] }, Open ]], Cell[CellGroupData[{ -Cell[9264, 329, 201, 6, 27, "Input", +Cell[9265, 329, 201, 6, 27, "Input", CellTags->"AntiCommutator", CellID->400792382], -Cell[9468, 337, 276, 9, 35, "Output", +Cell[9469, 337, 276, 9, 35, "Output", CellTags->"AntiCommutator"] }, Open ]], Cell[CellGroupData[{ -Cell[9781, 351, 269, 9, 38, "Input", +Cell[9782, 351, 269, 9, 38, "Input", CellTags->"AntiCommutator", CellID->392638266], -Cell[10053, 362, 218, 7, 35, "Output", +Cell[10054, 362, 218, 7, 35, "Output", CellTags->"AntiCommutator"] }, Open ]], Cell[CellGroupData[{ -Cell[10308, 374, 272, 8, 38, "Input", +Cell[10309, 374, 272, 8, 38, "Input", CellTags->"AntiCommutator", CellID->598753128], -Cell[10583, 384, 402, 14, 39, "Output", +Cell[10584, 384, 402, 14, 39, "Output", CellTags->"AntiCommutator"] }, Open ]], -Cell[11000, 401, 260, 7, 38, "Input", +Cell[11001, 401, 260, 7, 38, "Input", CellTags->"AntiCommutator", CellID->108727372], -Cell[11263, 410, 196, 6, 27, "Input", +Cell[11264, 410, 196, 6, 27, "Input", CellTags->"AntiCommutator", CellID->873286670], -Cell[11462, 418, 246, 8, 38, "Input", +Cell[11463, 418, 246, 8, 38, "Input", CellTags->"AntiCommutator", CellID->702830390] }, Open ]], -Cell[11723, 429, 31, 0, 29, "SectionFooterSpacer"] +Cell[11724, 429, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11791, 434, 270, 12, 31, "SeeAlsoSection", +Cell[11792, 434, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12064, 448, 748, 25, 56, "SeeAlso"] +Cell[12065, 448, 748, 25, 56, "SeeAlso"] }, Open ]], -Cell[12827, 476, 23, 0, 41, "FooterCell"] +Cell[12828, 476, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AntiQuarkField.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AntiQuarkField.nb index 679604f72..79c5e5937 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/AntiQuarkField.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/AntiQuarkField.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9271, 299] +NotebookDataLength[ 9274, 299] NotebookOptionsPosition[ 6236, 210] -NotebookOutlinePosition[ 8575, 274] -CellTagsIndexPosition[ 8459, 268] +NotebookOutlinePosition[ 8578, 274] +CellTagsIndexPosition[ 8462, 268] WindowTitle->AntiQuarkField WindowFrame->Normal*) @@ -81,7 +81,7 @@ AntiQuarkField.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$23621], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$23675], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/AntiQuarkField", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1486930793], + CellID->1871037317], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1966272740], + CellID->1706443393], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"AntiQuarkField", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -223,7 +223,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 38.579294}", + "built" -> "{2020, 6, 20, 19, 2, 16.901827}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -256,7 +256,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4490, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1486930793]}, + CellID->1871037317]}, "AntiQuarkField"->{ Cell[5124, 157, 112, 3, 27, "Input", CellTags->"AntiQuarkField", @@ -267,8 +267,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8128, 255}, - {"AntiQuarkField", 8270, 259} + {"PrimaryExamplesSection", 8131, 255}, + {"AntiQuarkField", 8273, 259} } *) (*NotebookFileOutline @@ -281,10 +281,10 @@ Cell[4015, 112, 450, 12, 102, "Usage", Cell[CellGroupData[{ Cell[4490, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1486930793], + CellID->1871037317], Cell[CellGroupData[{ Cell[4903, 147, 196, 6, 26, "ExampleSection", - CellID->1966272740], + CellID->1706443393], Cell[CellGroupData[{ Cell[5124, 157, 112, 3, 27, "Input", CellTags->"AntiQuarkField", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart1.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart1.nb index 39498f600..cbd8c7912 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart1.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart1.nb @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$24055], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$24109], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Apart1", ".html"]], None}]}]}, @@ -169,7 +169,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 39.710427}", + "built" -> "{2020, 6, 20, 19, 2, 18.053206}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart2.nb index 4bbda2caa..71206e48b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17647, 604] -NotebookOptionsPosition[ 13394, 471] -NotebookOutlinePosition[ 16208, 550] -CellTagsIndexPosition[ 16098, 544] +NotebookDataLength[ 25011, 836] +NotebookOptionsPosition[ 20497, 691] +NotebookOutlinePosition[ 23161, 768] +CellTagsIndexPosition[ 23051, 762] WindowTitle->Apart2 WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$24499], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$24561], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Apart2", ".html"]], None}]}]}, @@ -117,9 +117,8 @@ Cell[BoxData[GridBox[{ {"", Cell[TextData[{ Cell[BoxData[ RowBox[{"Apart2", "[", "expr", "]"}]], "InlineFormula"], - " \[LineSeparator]partial fractions very simple 1-loop integrals of the \ -form 1/[(q^2-m1^2)(q^2-m2^2)]. Since FeynCalc 9 this function is deprecated. \ -Please use ApartFF instead." + " \[LineSeparator]partial fractions propagators of the form \ +1/[(q^2-m1^2)(q^2-m2^2)]." }]]} }]], "Usage", GridBoxOptions->{ @@ -154,7 +153,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1451633961], + CellID->1590245146], Cell["", "SectionHeaderSpacer"], @@ -163,7 +162,7 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Options", "[", "Apart2", "]"}]], "Input", CellTags->"Apart2", - CellLabel->"In[223]:=", + CellLabel->"In[1]:=", CellID->1571464480], Cell[BoxData[ @@ -171,13 +170,17 @@ Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"Factoring", "\[Rule]", "True"}], ",", + RowBox[{"FeynCalcExternal", "\[Rule]", "False"}], ",", + RowBox[{"FeynCalcInternal", "\[Rule]", "False"}], ",", RowBox[{"ExcludeMasses", "\[Rule]", - RowBox[{"{", "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{242, 16}, + RowBox[{"{", "}"}]}], ",", + RowBox[{"Sqrt", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output",\ + + ImageSize->{371, 35}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Apart2", - CellLabel->"Out[223]="] + CellLabel->"Out[1]="] }, Open ]] }, Closed]] }, Open ]], @@ -195,21 +198,21 @@ Cell[TextData[{ Spacer[6]]]], "Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", - Cell["(1)", "ExampleCount"] + Cell["(2)", "ExampleCount"] }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1660425432], + CellID->1725280948], Cell[CellGroupData[{ Cell[TextData[{ "Basic Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", - Cell["(1)", "ExampleCount"] + Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->29687880], + CellID->356488489], Cell[CellGroupData[{ @@ -418,11 +421,228 @@ Cell[BoxData[ RowBox[{ SuperscriptBox["m", "2"], "-", SuperscriptBox["M", "2"]}]]], "Output", - ImageSize->{317, 34}, + ImageSize->{317, 35}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Apart2", CellLabel->"Out[3]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + +Cell[TextData[{ + "Apart2 can also handle Cartesian propagators with square roots. To disable \ +this mode use ", + Cell[BoxData[ + RowBox[{"Sqrt", "\[Rule]", "False"}]], "InlineFormula"], + " " +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"CFAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"k", ",", "0"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"+", + RowBox[{"m", "^", "2"}]}], ",", + RowBox[{"-", "1"}]}], "}"}], ",", "1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k", "-", "p"}], ",", "0"}], "}"}], ",", + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"-", "1"}]}], "}"}], ",", "1"}], "}"}]}], "]"}], + RowBox[{"GFAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"DE", "-", + SqrtBox[ + RowBox[{"CSPD", "[", + RowBox[{"k", ",", "k"}], "]"}]]}], ",", "1"}], "}"}], ",", "1"}], + "}"}], "]"}]}]}]], "Input", + CellLabel->"In[1]:=", + CellID->1827687893], + +Cell[BoxData[ + FormBox[ + FormBox[ + FractionBox["1", + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{"DE", "-", + SqrtBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2], TraditionalForm]]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], " ", + RowBox[{ + TemplateBox[{"\"(\"",SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2],"\"+\"",SuperscriptBox["m", "2"],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], + TraditionalForm], "-", + FormBox[ + StyleBox["p", Bold, StripOnInput -> False], + TraditionalForm]}], TraditionalForm], TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]}]], + TraditionalForm], TraditionalForm]], "Output", + ImageSize->{339, 47}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[1]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"int", "//", "FeynAmpDenominatorCombine"}], "//", + "Apart2"}]], "Input", + CellLabel->"In[2]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FractionBox["1", + RowBox[{ + SuperscriptBox["DE", "2"], "+", + SuperscriptBox["m", "2"]}]], + RowBox[{"(", + RowBox[{ + FormBox[ + FractionBox["DE", + RowBox[{ + TemplateBox[{"\"(\"",SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2],"\"+\"",SuperscriptBox["m", "2"],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], + TraditionalForm], "-", + FormBox[ + StyleBox["p", Bold, StripOnInput -> False], + TraditionalForm]}], TraditionalForm], TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{"DE", "-", + SqrtBox[ + SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2]]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], + TraditionalForm], "-", + FormBox[ + StyleBox["p", Bold, StripOnInput -> False], + TraditionalForm]}], TraditionalForm], TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + SqrtBox[ + SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", + StripOnInput->False, + FontWeight->Bold], + TraditionalForm], + TraditionalForm], "2"]], + RowBox[{ + TemplateBox[{"\"(\"",SuperscriptBox[ + FormBox[ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], TraditionalForm], + TraditionalForm], 2],"\"+\"",SuperscriptBox["m", "2"],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox[ + StyleBox["k", Bold, StripOnInput -> False], + TraditionalForm], "-", + FormBox[ + StyleBox["p", Bold, StripOnInput -> False], + TraditionalForm]}], TraditionalForm], TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"-\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], + TraditionalForm]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{509, 118}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[2]="] +}, Open ]], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "int", "]"}]], "Input", + CellLabel->"In[3]:="] }, Open ]] }, Open ]], @@ -471,7 +691,7 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, +WindowSize->{808, 840}, WindowMargins->{{268, Automatic}, {Automatic, 20}}, WindowTitle->"Apart2", TaggingRules->{ @@ -484,15 +704,14 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 40.594627}", + "built" -> "{2020, 6, 20, 19, 2, 19.052222}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> "None", "summary" -> - "Apart2[expr] partial fractions very simple 1-loop integrals of the form \ -1/[(q^2-m1^2)(q^2-m2^2)]. Since FeynCalc 9 this function is deprecated. \ -Please use ApartFF instead.", "synonyms" -> {}, "tabletags" -> {}, "title" -> + "Apart2[expr] partial fractions propagators of the form \ +1/[(q^2-m1^2)(q^2-m2^2)].", "synonyms" -> {}, "tabletags" -> {}, "title" -> "Apart2", "titlemodifier" -> "", "windowtitle" -> "Apart2", "type" -> "Symbol", "uri" -> "FeynCalc/ref/Apart2"}, "SearchTextTranslated" -> ""}, CellContext->"Global`", @@ -504,8 +723,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -515,36 +733,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Apart2"->{ - Cell[5390, 162, 132, 4, 70, "Input", + Cell[5297, 161, 130, 4, 70, "Input", CellTags->"Apart2", CellID->1571464480], - Cell[5525, 168, 343, 11, 37, "Output", + Cell[5430, 167, 510, 15, 56, "Output", CellTags->"Apart2"], - Cell[6561, 215, 276, 10, 27, "Input", + Cell[6634, 218, 276, 10, 27, "Input", CellTags->"Apart2", CellID->1580962822], - Cell[6840, 227, 1756, 59, 64, "Output", + Cell[6913, 230, 1756, 59, 64, "Output", CellTags->"Apart2"], - Cell[8633, 291, 123, 4, 27, "Input", + Cell[8706, 294, 123, 4, 27, "Input", CellTags->"Apart2", CellID->867958772], - Cell[8759, 297, 2905, 93, 84, "Output", + Cell[8832, 300, 2905, 93, 84, "Output", CellTags->"Apart2"], - Cell[11701, 395, 159, 5, 27, "Input", + Cell[11774, 398, 159, 5, 27, "Input", CellTags->"Apart2", CellID->168515472], - Cell[11863, 402, 604, 22, 70, "Output", + Cell[11936, 405, 604, 22, 71, "Output", CellTags->"Apart2"]}, "PrimaryExamplesSection"->{ - Cell[5929, 186, 388, 15, 31, "PrimaryExamplesSection", + Cell[6001, 189, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1660425432]} + CellID->1725280948]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Apart2", 15317, 516}, - {"PrimaryExamplesSection", 15954, 537} + {"Apart2", 22270, 734}, + {"PrimaryExamplesSection", 22907, 755} } *) (*NotebookFileOutline @@ -553,59 +771,73 @@ Cell[578, 21, 3181, 77, 53, "AnchorBarGrid", CellID->1], Cell[3762, 100, 283, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[4070, 115, 497, 13, 102, "Usage", +Cell[4070, 115, 404, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4592, 132, 739, 24, 31, "NotesSection", +Cell[4499, 131, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1451633961], -Cell[5334, 158, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1590245146], +Cell[5241, 157, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5390, 162, 132, 4, 70, "Input", +Cell[5297, 161, 130, 4, 70, "Input", CellTags->"Apart2", CellID->1571464480], -Cell[5525, 168, 343, 11, 37, "Output", +Cell[5430, 167, 510, 15, 56, "Output", CellTags->"Apart2"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5929, 186, 388, 15, 31, "PrimaryExamplesSection", +Cell[6001, 189, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1660425432], + CellID->1725280948], Cell[CellGroupData[{ -Cell[6342, 205, 194, 6, 26, "ExampleSection", - CellID->29687880], +Cell[6414, 208, 195, 6, 26, "ExampleSection", + CellID->356488489], Cell[CellGroupData[{ -Cell[6561, 215, 276, 10, 27, "Input", +Cell[6634, 218, 276, 10, 27, "Input", CellTags->"Apart2", CellID->1580962822], -Cell[6840, 227, 1756, 59, 64, "Output", +Cell[6913, 230, 1756, 59, 64, "Output", CellTags->"Apart2"] }, Open ]], Cell[CellGroupData[{ -Cell[8633, 291, 123, 4, 27, "Input", +Cell[8706, 294, 123, 4, 27, "Input", CellTags->"Apart2", CellID->867958772], -Cell[8759, 297, 2905, 93, 84, "Output", +Cell[8832, 300, 2905, 93, 84, "Output", CellTags->"Apart2"] }, Open ]], Cell[CellGroupData[{ -Cell[11701, 395, 159, 5, 27, "Input", +Cell[11774, 398, 159, 5, 27, "Input", CellTags->"Apart2", CellID->168515472], -Cell[11863, 402, 604, 22, 70, "Output", +Cell[11936, 405, 604, 22, 71, "Output", CellTags->"Apart2"] +}, Open ]], +Cell[CellGroupData[{ +Cell[12577, 432, 105, 2, 9, "ExampleDelimiter"], +Cell[12685, 436, 203, 6, 32, "Notes"], +Cell[CellGroupData[{ +Cell[12913, 446, 924, 33, 58, "Input", + CellID->1827687893], +Cell[13840, 481, 1593, 43, 68, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[15470, 529, 131, 4, 27, "Input"], +Cell[15604, 535, 3865, 104, 139, "Output"] +}, Open ]], +Cell[19484, 642, 86, 2, 27, "Input"] }, Open ]] }, Open ]], -Cell[12494, 428, 31, 0, 29, "SectionFooterSpacer"] +Cell[19597, 648, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12562, 433, 270, 12, 31, "SeeAlsoSection", +Cell[19665, 653, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12835, 447, 517, 19, 70, "SeeAlso"] +Cell[19938, 667, 517, 19, 56, "SeeAlso"] }, Open ]], -Cell[13367, 469, 23, 0, 70, "FooterCell"] +Cell[20470, 689, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart3.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart3.nb index 41a9bfdff..969e284c1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart3.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Apart3.nb @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$24937], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$25002], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Apart3", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 41.777749}", + "built" -> "{2020, 6, 20, 19, 2, 20.453475}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ApartFF.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ApartFF.nb index 6930847d3..eac981cb2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ApartFF.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ApartFF.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 104475, 3442] -NotebookOptionsPosition[ 98732, 3263] -NotebookOutlinePosition[ 101257, 3328] -CellTagsIndexPosition[ 101133, 3322] +NotebookDataLength[ 135894, 4555] +NotebookOptionsPosition[ 128600, 4323] +NotebookOutlinePosition[ 130951, 4386] +CellTagsIndexPosition[ 130827, 4380] WindowTitle->ApartFF WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$25419], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$25512], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ApartFF", ".html"]], None}]}]}, @@ -121,8 +121,7 @@ Cell[BoxData[GridBox[{ " \[LineSeparator]partial fractions loop integrals by decomposing them \ into simpler integrals that contain only linearly independent propagators. It \ uses FCApart as a backend and works and is suitable also for multiloop \ -integrals. ApartFF effectively replaces the older function Apart2 and \ -ScalarProductCancel which are now considered legacy." +integrals." }]]} }]], "Usage", GridBoxOptions->{ @@ -157,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2020340374], + CellID->1561291863], Cell["", "SectionHeaderSpacer"], @@ -168,18 +167,34 @@ Cell[TextData[{ " as the backend for partial fractioning. The latter implements an algorithm \ which is very much based on the work and code of F. Feng (arXiv:1204.2314) \ that seems\tto employ a variety Leinartas's algorithm (see arXiv:1206.4740 \ -for its description). Unlike Feng's\t$Apart that works on general \ -multivariate polynomials,\t\t\t\t", +for its description). Unlike Feng's $Apart that works on general multivariate \ +polynomials,\t ", StyleBox["FCApart", "Input"], " is tailored to work only with FeynCalc's ", StyleBox["FeynAmpDenominator", "Input"], " and ", StyleBox["Pair", "Input"], - " objects, i.e. it is less general. For the original $Apart see ", - "https://github.com/F-Feng/APart" + " objects, i.e. it is less general. For the original $Apart see \ +https://github.com/F-Feng/APart" }], "Notes", CellID->610107001], +Cell[TextData[{ + Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{ + RowBox[{"amp", "*", "extraPiece1"}], ",", " ", "extraPiece2", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2", ",", "..."}], "}"}]}], "]"}]], + "InlineFormula"], + " is a special working mode of ApartFF, where the final result of partial \ +fractioning amp*extraPiece1 is multiplied by extraPiece2. It is understood, \ +that extraPiece1*extraPiece2 should be unity, e.g. when extraPiece1 is an \ +FAD, while extraPiece is an SPD inverse to it. This mode should be useful for \ +nonstandard integrals where the desired partial fraction decomposition can be \ +performed only after multiplying amp with extraPiece1" +}], "Notes"], + Cell[CellGroupData[{ Cell[BoxData[ @@ -222,21 +237,21 @@ Cell[TextData[{ Spacer[6]]]], "Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", - Cell["(6)", "ExampleCount"] + Cell["(9)", "ExampleCount"] }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1068520360], + CellID->2093536089], Cell[CellGroupData[{ Cell[TextData[{ "Basic Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", - Cell["(6)", "ExampleCount"] + Cell["(9)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1045479996], + CellID->967968023], Cell[BoxData[ RowBox[{"FCClearScalarProducts", "[", "]"}]], "Input", @@ -443,69 +458,69 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJzt3XtQFdcdB3Bs/0jrOBOo44yNISkvQQgQdeqjSA2JxiZqOiFpSyx0CkGo -BdFiGxs0GZuO00ZGRSfahECmRCXaokljY2LrqEHwgQ9ofEO4IPKQKPK4wH3f -W7hNMYG7e865+979fmbiEIfdPb/fObvuvdzlG5KxKjnrGwEBAWu+NfRHcvra -pPz89JefCxz6n5/krVmRnbc886m83y7PXp4/J+ObQ3+ZNvTfm+MCAoa/9gAA -gKa4es5szlqSMC3k0WU7Lg+4ZdsWAEAklqbd75zvdXlsTW//MGzx0W65tgUA -EIvbOej03kgN1OYlZNaY5doWAEBsAxc3LS9utMq+LQCAKNzmS+UllXeccm8L -ACAKt+XG4f2fdto9Hlf/jYY+pguSkG0BAMRhby1PiwyNjBkS/Uji+kuDMm0L -AMDA2X36r797PmnB77e8lrM45jsTYzP2dzgY93B27/plTz69YetLT4Y/tOjg -Fy6JhgoA4Ju76/CPHghffeS20+O6/c+lkwJn7+1guxK57x556oGHf7mvydx1 -/XKHFZ8UAwCZ9Zz4WUj0K1csw1/3X8gOefDZT3vY9tB3Ki0s5tWrFilGBwBA -ZK7JCItc/Zn33SvL1Q2xUzOretjuqPrP/yoiKv8zvP8FAMoYqMubGpru/ZSq -o23vssSVn7B+SGLw4pqoiKxz/ZIMDwCAxHJlXfTkWT/P31i0vfAPBduPfcH2 -Fr+r//onm5dOnhCWe+CSGW/vA4ACbA1/jvte8rFuvDUPABplb3pjxkOLDt3B -ZQwAtMhtuXninRdDJkz+8Vsn2vFZCQAAAADQCWfnweyVNX1KDwMAwG/O1ncX -LsFvjQRtWACGZDKZ+BcGrmMAoFGO9r9nLJo/bG5U0MT4BO+XT+dWMz4bAQCg -PNyPAYDW4ToGAFqH6xgYkJ5CHvVUywhdFgUgKj2FPOqplhG6LApAXHoKedRT -LSN0WRSANPQU8qinWkbosiiA/3N0VKRMTz0j5EEUupBHW9vRXQeu9KviHRpX -b21FefVtH7+sTHu1jBBaFIBWOdr3Z86bFJzi/3WMLuTRcesfq3/xtpruBwYv -F6W+fKTra+PVai0j/C8KQLPsrRXrij4qnBHu93WMLuTRdefj1Dk5gu75xOe+ -ezR19orq3pGbKg3XMsLPogA0y96yr6D4Wm/Tzpmk65jLfLFi6+aSPeWlm3J+ -mvJ8XjXbL2B1tr83P+qFU6RTX+BRRh+UmErpvvvvxVFLDnepvxYPfUynX0UB -aJWteXdBaYPFY28mXMdcd4+/9Pgzf/l8+HWU3bTt0QcXfMiYVGs+kxI+Y7vJ -zvc9wo8yGjmV0nL1lbgYxqAkZWrx0Md0+lMUgDZZG8sKykzeE41wHTOfy4uK -zD3vjRNytu36QXDi3g7G91i6jycFf39XG99WtEe59zjzV/h+nJmcSmlr3DI9 -fNkZps8iKFOLhz6m05+iADTJWl/4WHxsvFd08Pj7AiPiklbV+Yo+6z+X/vCU -5Ore4a9dnQeSgmeV3mTLJBq6opxMDp25s5nnHkaMo4zeJTmV0nrttbhpuXUD -LLtVpBYPQ0ynP0UBaJ2jpWRWBPf9WNfh+UGBiXuGb0Cs9W8lTpm+jf811Qhn -99mK92t7hm9EbI2bZ8as5Du1/D4KJ5pUyr7TL0QmlLeT7y4VrsXDEtNJXRSA -jhCuY45bH7wYG3R/2MKsDZvWz/7uIxuvU37eoKcqLTIyrdJ702Ct3zgn4c0b -3Kez30fxiTKV0np945wnSloo7pUUrOV/6GM66YsCMKLek6mh09b694N7V3fl -2mdfp9lWyFGYuPtq1iX/8YKZ+Qd7CtRCHdPpd1EAxmA+mxUekVPr9/su1paD -RcXHbhFeYgk9Cv1oDr2x7V8dfr7gk7kW2phOYUUB6Jt78Mapv61PCJoQ9erx -bgFvvLhtd7psnCejWEeh4bJ0dnOPhIZctTDEdAovCgAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAEAOyKqWFNrLBZ2RhzH6jKxqSaG9XNAZeRikz8iqlhTaywWd -kYfB+oysakmhvVzQGXkYoc+iZFW7Bxt25T0+ddKEoJB5OWX1g75ficuY4s2d -zc2Eri7ePSAKnAM6Iw8j9FmkrOrBK1tW7TjdabN3ndvxzOT74zc12MZ8j+wp -3r6yuVl3QVEXH0SBc0Fn5GGIPjNkVTs7D2avrOEIAbDfOnak48szfKAuN3TK -0qreUd+iRIr3mGxuH4TWxQdR4FzQGXnop8+0MdbE/bS+u3AJzQ88zGfTp80d -E+PBn+ItNO6cK3mcIptbYF2EARiYWAsPaOh/BdLGWBNQnu/u7spfP7FmbDIj -T4o3bXi3xVSxrbjK58tEzuRxcja3wLpIAzAwkRYeUNH9CqSNsfbtXmT23Kig -ifEJ/JHZru6Tf/pN6TUf74Zzp3hTh3e37VkUHLXigq9AS87kcc5sbrHqIg3A -wIQtPGCj9xVIHWNNQL5vcQ82lL9e+p8+n3vnTPEWI7ybO3mcnM0tsC7SAIxL -rIUHNPS+AuljrAlI57vt5odbi2t6vC8cXD2XPvi4/Ws/2eNM8RYhvJsneZyc -zS2wLtIADEu0hQcU9L4C6WOsSXjPd+ftQysivz0u4EvjxscVfj7qdOdK8RYY -3s2fPE6RzS20Lsroc6MRb+EBgQFWIHWMtQyIKd6iB5Ejm1sxalp4oHW0MdZy -4U3xFjuIHNncylHbwgPNYoixlpPPFG8pgsiRza0QlS48AAAAAFq8z0kBAGgA -9XNSAIawAFTJZDLxzJpY1zGlq9QS/hlBw8UiSp9BzSifk7r3bV/B+TgVCIBW -A/gNrysBQOtwHQMArcN1DEB0xsi/k5CmG6jpwXNRc1FqHhsrNdVikPw76Wi6 -gZoePBc1F6XmsbFSVS0Gy78Tn6YbqOnBc1FzUWoeGytV1mKE/DtJabqBmh48 -FzUXpeaxsRKpFkdHRcr0VEE5RXT5dzJmU6oTd2KmcgGCxp59BWbEkA2Xvs+O -9v2Z8yYFp/jfWLr8O9mzKdXJV2KmggGCmH2ZZ8S4DZe0z/bWinVFHxXOCPe7 -sXT5d0pkU0rxPLXwfY5JzFQwQFDPs09PxhkxdMOl67O9ZV9B8bXepp0zSY0V -Gh/Jm01JuxPGuEPKz1kxlUbcJzklkCIxUx5qm32BR/FxXMoFI9eM6Lvhiq18 -W/PugtIGi8feTGgsbXwkN55sSgaMcYc01zHW0iiyk4gpgeTETDmobPaFH8UH -2gUjy4zovuHKrHxrY1lBmclbBaGxtPGRPLizKYfRPm9LF3fIkjtJnYxJv09y -SiBnYqaMVDT7TEdhezSbNh9ThhkxQMMVWfnW+sLH4mPjvaKDx98XGBGXtKrO -VyqUGPGRnNmULFjjDsn3TuylEfdJkRJITsyUnNpmX4yjjEW9YKSfEQM0XPGV -72gpmRXB/Q+E3/GRQy+YK96v7Rm+ynNmUzJgjjskX8fYSyPtkyYlkJyYKSdV -zL4IEaVj0S8YWWdEpw1XfuUTGut3fGRPVVpkZFql959ArmxKeuxxh+TrGHtp -fPukTAmkSMyUkypmX2BEqU/0C0beGdFhwzW28oXERxKzKQkkjjsUPRmTi3YT -M+WZfdEmgnrBqHZGNNZwEtX0WWh8JG82JYHEcYdiJ2Ny0XBipjyzL9pE0C4Y -9c6IxhpOHI0a+ixWfKTPbEriRpLGHUqRjMlFo4mZ8sy+eBPBsGDUOSNaaziZ -OvsMAAAAAHz+C87NI6E= +1:eJzt3XtQVNcdB3Bs/0jrOKPUccbEkBQEFzFA1KmPojUkGpuo6YQkLbHQKQax +VkWrbWzQZGw6ThsZnxONMZCp0RBtIaaxMTF1fKD4QA00viUsDxVERRYW2Pdu +YZtiAvfec859P76fmTjEYe89v985e7y77OUbPWdxWs53IiIiln2v64+0rOWp +S5dmvfLcoK7/eSF32fx5uXOzn8r9/dx5c5dOmPPdrr/M7Ppva7+IiO6vQwAA +YCgBx6m1OTNTRkY/OnvzhY6gao8FAJCJq2bnu2dbAyFPzTs/GT7jYItajwUA +kEvQ3+kPX0h1VOSmZJc71XosAIDcOs6tmbut2q36YwEAZBF0ni8qKL3jV/ux +AACyCLrq9pccafKGQoH2uqo2pg1JymMBAOThvV6UaYuxjeqS8Mjklec7VXos +AAADf8vJv/3h+dSpf1z3+oIZo34wOHFOSaOP8Qind62c/eTTq9a//GTsQ9P3 +3gooNFQAAG7B5v0/fSB2yYHb/lDg9r9mDRk0flcj204UvHvgqQce/vXuGmfz +lQuNbnxSDABU5jj6i+iEVy+6ur9u/2Je9IPPHnGwHaHtRObwUa9dcikxOgAA +Imf5nOG2JV+G371yXVqVOCL7mIPtiqr97G/i4pd+ife/AEAbHZW5I2Kywp9S +9d3YNXvyos9YPyTReW5ZfFzOmXZFhgcAQOK6uCJh6LhfLl29YVP+n/I2HbrF +9hZ/oP3KZ2tnDR0wfOGH5514ex8ANOCp+mvSD9MOteCteQAwKG/Nm2Memr7v +DrYxADCioOva0Xdfih4w9GdvH23AZyUAAAAAwCT8TXvnLSpv03oYAACi+a+/ +N20mfmskGMNUsCS73S68MLCPAYBB+Rr+MWf6lG4T4yMHJ6eEv3x6YRnjvREA +ANrD9RgAGB32MQAwOuxjYEFmCnk0Uy09TFkUgKzMFPJoplp6mLIoAHmZKeTR +TLX0MGVRAMowU8ijmWrpYcqiAP7P11icPjrjlJQbUehCHj03Du7Yc6ldF+/Q +BForSorKbnP8sjLj1dJDalEARuVrKMmeNCQqXfw+Rhfy6Lv5zyW/ekdP1wOd +FzZkvHKg+VvjNWotPcQXBWBY3uvFKzZ8kj8mVvQ+RhfyGLjzacaEBZKu+eQX +vHswY/z8staeiyoD19JDZFEAhuWt35237XJrzZaxpH0s4DxXvH5twftFhWsW +/Dz9+dwytl/A6m/4YEr8iydIT32JZ+l9UmIqZfDuv2fEz9zfrP9aQvQxnaKK +AjAqT+3OvMIqV8hbS9jHAncPv/z4M2991f06ymvf+OiDUz9mTKp1nkqPHbPJ +7hX6Huln6Y2cSum69GrSKMagJG1qCdHHdIopCsCY3NXb87bbw080wj7mPJMb +b1t4Nhwn5L+x48dRk3c1Mr7H0nI4NepHO24IPYr2LPduZ/4G7tuZyamUnup1 +o2Nnn2L6LII2tYToYzrFFAVgSO6r+Y8lJyaHJUT1v29QXFLq4kqu6LP2M1kP +D0sra+3+OtD0YWrUuMJrbJlEXTvK8bSYsVtqBa5h5DhL70OSUyndl19PGrmw +soPlsJrUEmKI6RRTFIDR+eoLxsXxX481758SOWjy+90XIO6rb08eNnqj8Guq +Hv6W08V7KhzdFyKe6rVjRy0SemqJPgsvmlTKtpMv2lKKGshXlxrXEmKJ6aQu +CsBECPuY7+ZHLyVGDhw+LWfVmpXj739k9RXKzxs4jmXabJml4YsG99XVE1K2 +1vE/nUWfhRNlKqX7yuoJTxTUU1wraVjL/9DHdNIXBWBFrcczYkYuF/eD+0BL +6fJn36B5rJSzMAm2la9I+/MXTuYf7GlQC3VMp+iiAKzBeTonNm5Bhej3Xdz1 +ezdsO3ST8BJL6lnoR7PvzY2fN4p8wadyLbQxndKKAjC3YGfdib+vTIkcEP/a +4RYJb7wEPXeaPbxPRrnOQiPgamrhHwkNtWphiOmUXhQAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAACAGpBVrSi0lw86ow5r9BlZ1YpCe/mgM+qwSJ+RVa0otJcP +OqMOi/UZWdWKQnv5oDPqsEKfZcmqDnZW7ch9fMSQAZHRkxZsv9rJ/UpcxRRv +/mxuJnR1CR4BUeA80Bl1WKHPMmVVd15ct3jzySaPt/nM5meGDkxeU+Xp8z2q +p3hzZXOzHoKiLiGIAueDzqjDEn1myKr2N+2dt6icJwTAe/PQgcavn+EdlQtj +hs061trrW7RI8e6Tzc1Bal1CEAXOB51Rh3n6TBtjTTzO9femzaT5gYfzdNbI +iX1iPIRTvKXGnfMlj1Nkc0usizAAC5Nr4QEN869A2hhrAsrne7Cl9LdPLOub +zCiQ4k0d3u1rvXGL+xdD8yaPk7O5JdZFGoCFybTwgIrpVyBtjDW3e5HZE+Mj +ByenCEdmBxzH//K7wssc74bzp3jThnd767aOHXj/C5yXdLzJ47zZ3HLVRRqA +hUlbeMDG7CuQOsaagHzdEuysKnqj8D9tnEfnTfGmD+/2t1R8fqSWay/hTx4n +Z3NLrIs0AOuSa+EBDbOvQPoYawLS891z7eP128od4RcOAcf5jz5t+NZP9nhT +vGUI7xZIHidnc0usizQAy5Jt4QEFs69A+hhrEsHnu//2vvm27/eL+Fq//kn5 +X/V6uvOleEsM7xZOHqfI5pZaF2X0udXIt/CAwAIrkDrGWgXEFG/Zg8iRza0Z +PS08MDraGGu1CKZ4yx1Ejmxu7eht4YFhMcRYq4kzxVuJIHJkc2tEpwsPAAAA +gJbgfVIAAAZAfZ8UgCVMBV2y2+0CsybXPqZ1lUYiPCNouFxk6TPoGeV9Uve+ +7Rt4b6cCCdBqANHwuhIAjA77GAAYHfYxANlZI/9OQYZuoKEHz0fPRel5bKz0 +VItF8u+UY+gGGnrwfPRclJ7HxkpXtVgs/05+hm6goQfPR89F6XlsrHRZixXy +7xRl6AYaevB89FyUnsfGSqZafI3F6aMzJOUU0eXfqZhNqU/8iZnaBQhae/Y1 +mBFLNlz5PvsaSrInDYlKF99Yuvw71bMp9YkrMVPDAEHMvsozYt2GK9pn7/Xi +FRs+yR8TK7qxdPl3WmRTKnE/tfRj9knM1DBA0MyzT0/FGbF0w5Xrs7d+d962 +y601W8aSGis1PlIwm5L2IIxxh5Sfs2IqjXhMckogRWKmOvQ2+xLPwnFeygWj +1oyYu+GarXxP7c68wipXyFtLaCx1fCQvgWxKBoxxhzT7GGtpFNlJxJRAcmKm +GnQ2+9LPwoF2wagyI6ZvuDYr3129PW+7PVwFobG08ZEC+LMpu9Heb0sXd8iS +O0lbGsMxySmBvImZKtLR7DOdhe3WbNp8TBVmxAIN12Tlu6/mP5acmByWENX/ +vkFxSamLK7lSoejjI/nxZlOyYI07JF87sZdGPCZFSiA5MVNxept9Oc7SF/WC +UX5GLNBwzVe+r75gXBz/PxCi4yO7XjAX76lwdO/yvNmUDJjjDsn7GHtppGPS +pASSEzPVpIvZlyGitC/6BaPqjJi04dqvfEJjRcdHOo5l2myZpeF/AvmyKemx +xx2S9zH20oSOSZkSSJGYqSZdzL7EiFJO9AtG3RkxYcMNtvKlxEcSsykJFI47 +lD0Zk49xEzPVmX3ZJoJ6weh2RgzWcBLd9FlqfKRgNiWBwnGHcidj8jFwYqY6 +sy/bRNAuGP3OiMEaThyNHvosV3wkZzYl8UGKxh0qkYzJx6CJmerMvnwTwbBg +9DkjRms4mT77DAAAAABC/guzvyO8 "], {{0, 93}, {408, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -519,7 +534,7 @@ OvsMAAAAAHz+C87NI6E= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[2]=", - CellID->720970276] + CellID->1069267781] }, Open ]] }, Open ]], @@ -3229,221 +3244,1319 @@ Cell[BoxData[ ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[3]="] }, Open ]] -}, Open ]] -}, Open ]], - -Cell["", "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + Cell[TextData[{ + "If the partial fractioning should be performed only w. r. t. the \ +denominators but not numerators, use ", Cell[BoxData[ - InterpretationBox[ - StyleBox[ - GraphicsBox[{}, - BaselinePosition->Baseline, - ImageSize->{6, 0}], - CacheGraphics->False], - Spacer[6]]]], - "See Also" -}], "SeeAlsoSection", - WholeCellGroupOpener->True, - CellID->1255426704], + RowBox[{"Numerator", "\[Rule]", "False"}]], "InlineFormula"] +}], "Notes"], -Cell[TextData[StyleBox[ButtonBox["FCApart", - BaseStyle->"Link", - ButtonData->"paclet:FeynCalc/ref/FCApart", - ButtonNote->"FCApart"], - FontFamily->"Verdana"]], "SeeAlso", - CellID->929782353] -}, Open ]], +Cell[CellGroupData[{ -Cell[" ", "FooterCell"] -}, -Saveable->False, -ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, -WindowTitle->"ApartFF", -TaggingRules->{ - "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> - GridBox[{{ +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"k", ",", + RowBox[{"p", "-", "k"}], ",", + RowBox[{"{", + RowBox[{"k", ",", "m"}], "}"}]}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"p", ",", "k"}], "]"}]}]}]], "Input", + CellLabel->"In[1]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ RowBox[{ - ButtonBox[ - "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", - BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> - Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> - None, "RootCaptions" -> "", - "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 42.751459}", - "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", - "keywords" -> {}, "specialkeywords" -> {}, - "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> - "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> - "None", "summary" -> - "ApartFF[amp, {q1, q2, ...}] partial fractions loop integrals by \ -decomposing them into simpler integrals that contain only linearly \ -independent propagators. It uses FCApart as a backend and works and is \ -suitable also for multiloop integrals. ApartFF effectively replaces the older \ -function Apart2 and ScalarProductCancel which are now considered legacy.", - "synonyms" -> {}, "tabletags" -> {}, "title" -> "ApartFF", - "titlemodifier" -> "", "windowtitle" -> "ApartFF", "type" -> "Symbol", - "uri" -> "FeynCalc/ref/ApartFF"}, "SearchTextTranslated" -> ""}, -CellContext->"Global`", -FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", -StyleDefinitions->Notebook[{ - Cell[ - StyleData[ - StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], - Cell[ - StyleData["Input"], CellContext -> "Global`"], - Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, - FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", - StyleDefinitions -> "Default.nb"] -] -(* End of Notebook Content *) + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["k", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k + $CellContext`p, D], + FeynCalc`Momentum[-$CellContext`k + $CellContext`p, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{169, 42}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[1]="] +}, Open ]], -(* Internal cache information *) -(*CellTagsOutline -CellTagsIndex->{ - "PrimaryExamplesSection"->{ - Cell[7083, 213, 388, 15, 31, "PrimaryExamplesSection", - CellTags->"PrimaryExamplesSection", - CellID->1068520360]}, - "RasterizedOutput"->{ - Cell[12640, 442, 4328, 79, 114, "Output", - CellTags->"RasterizedOutput", - CellID->720970276]} - } -*) -(*CellTagsIndex -CellTagsIndex->{ - {"PrimaryExamplesSection", 100865, 3311}, - {"RasterizedOutput", 101009, 3315} - } -*) -(*NotebookFileOutline -Notebook[{ -Cell[579, 21, 2995, 74, 53, "AnchorBarGrid", - CellID->1], -Cell[3577, 97, 284, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[3886, 112, 775, 19, 136, "Usage", - CellID->982511436], + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}]}], "]"}]], "Input", + CellLabel->"In[2]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox["1", + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{465, 46}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[2]="] +}, Open ]], + Cell[CellGroupData[{ -Cell[4686, 135, 739, 24, 31, "NotesSection", + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}], ",", + RowBox[{"Numerator", "\[Rule]", "False"}]}], "]"}]], "Input", + CellLabel->"In[3]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{307, 42}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[3]="] +}, Open ]], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "int", "]"}]], "Input", + CellLabel->"In[4]:="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + +Cell[TextData[{ + "Using ", + Cell[BoxData[ + RowBox[{"FeynAmpDenominator", "\[Rule]", "False"}]], "InlineFormula"], + " we can specify that integrals without numerators should not be partial \ +fractioned" +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"k", ",", + RowBox[{"p", "-", "k"}], ",", + RowBox[{"{", + RowBox[{"k", ",", "m"}], "}"}]}], "]"}], + RowBox[{"(", + RowBox[{ + RowBox[{"SPD", "[", "q", "]"}], "+", + RowBox[{"SPD", "[", + RowBox[{"p", ",", "k"}], "]"}]}], ")"}]}]}]], "Input", + CellLabel->"In[1]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["k", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k + $CellContext`p, D], + FeynCalc`Momentum[-$CellContext`k + $CellContext`p, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{169, 46}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[1]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}]}], "]"}]], "Input", + CellLabel->"In[2]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}]}], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox["1", + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}]}], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{465, 46}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[2]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}], ",", + RowBox[{"FeynAmpDenominator", "\[Rule]", "False"}]}], "]"}]], "Input", + CellLabel->"In[3]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["k", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k, D] + + FeynCalc`Momentum[$CellContext`p, D], - + FeynCalc`Momentum[$CellContext`k, D] + + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox["1", + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{"2", " ", + SuperscriptBox["m", "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D], + FeynCalc`Momentum[$CellContext`k, D] - + FeynCalc`Momentum[$CellContext`p, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{376, 100}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[3]="] +}, Open ]], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "int", "]"}]], "Input", + CellLabel->"In[4]:="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + +Cell["\<\ +The extraPiece-trick is useful for cases where a direct partial fractioning \ +is not possible\ +\>", "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{"(", + RowBox[{ + RowBox[{"SFAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"k", ".", "l"}]}], "}"}], "}"}], ",", + RowBox[{"p", "-", "k"}]}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"k", ",", "p"}], "]"}]}], ")"}]}]], "Input", + CellLabel->"In[1]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{ + FormBox[ + FormBox["k", TraditionalForm], TraditionalForm], + FormBox["\"\[CenterDot]\"", TraditionalForm], + FormBox[ + FormBox["l", TraditionalForm], TraditionalForm]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", TraditionalForm], "-", + FormBox["k", TraditionalForm]}], TraditionalForm], + TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], TraditionalForm]], "Output", + ImageSize->{193, 39}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[1]="] +}, Open ]], + +Cell[TextData[{ + "Here ", + StyleBox["ApartFF", "Input"], + " cannot do anything " +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "k", "}"}]}], "]"}]], "Input", + CellLabel->"In[2]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{ + FormBox[ + FormBox["k", TraditionalForm], TraditionalForm], + FormBox["\"\[CenterDot]\"", TraditionalForm], + FormBox[ + FormBox["l", TraditionalForm], TraditionalForm]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", TraditionalForm], "-", + FormBox["k", TraditionalForm]}], TraditionalForm], + TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]], TraditionalForm]], "Output", + ImageSize->{193, 39}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[2]="] +}, Open ]], + +Cell["\<\ +Multiplying the integral with unity FAD[k]*SPD[k] we can cast into a more \ +desirable form\ +\>", "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"ApartFF", "[", + RowBox[{ + RowBox[{"int", " ", + RowBox[{"FAD", "[", "k", "]"}]}], ",", + RowBox[{"SPD", "[", "k", "]"}], ",", + RowBox[{"{", "k", "}"}]}], "]"}], "//", + RowBox[{ + RowBox[{"ApartFF", "[", + RowBox[{"#", ",", + RowBox[{"{", "k", "}"}]}], "]"}], "&"}]}]], "Input", + CellLabel->"In[3]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{"2", " ", + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{ + FormBox[ + FormBox["k", TraditionalForm], TraditionalForm], + FormBox["\"\[CenterDot]\"", TraditionalForm], + FormBox[ + FormBox["l", TraditionalForm], TraditionalForm]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", TraditionalForm], "-", + FormBox["k", TraditionalForm]}], TraditionalForm], + TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{"2", " ", + RowBox[{ + TemplateBox[{"\"(\"",RowBox[{ + FormBox[ + FormBox["k", TraditionalForm], TraditionalForm], + FormBox["\"\[CenterDot]\"", TraditionalForm], + FormBox[ + FormBox["l", TraditionalForm], TraditionalForm]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"], ".", + TemplateBox[{"\"(\"",RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\"(\"", TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", TraditionalForm], "-", + FormBox["p", TraditionalForm]}], TraditionalForm], + TraditionalForm], + FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"", + RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""}, + "RowDefault"]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{422, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[3]="] +}, Open ]], + +Cell[TextData[{ + "We need a second call to ", + StyleBox["ApartFF", "Input"], + " since the first execution doesn't drop scaleless integrals or perform any \ +shifts in the denominators." +}], "Notes"], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "int", "]"}]], "Input", + CellLabel->"In[4]:="] +}, Open ]] +}, Open ]], + +Cell["", "SectionFooterSpacer"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + Cell[BoxData[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, + BaselinePosition->Baseline, + ImageSize->{6, 0}], + CacheGraphics->False], + Spacer[6]]]], + "See Also" +}], "SeeAlsoSection", + WholeCellGroupOpener->True, + CellID->1255426704], + +Cell[TextData[StyleBox[ButtonBox["FCApart", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/FCApart", + ButtonNote->"FCApart"], + FontFamily->"Verdana"]], "SeeAlso", + CellID->929782353] +}, Open ]], + +Cell[" ", "FooterCell"] +}, +Saveable->False, +ScreenStyleEnvironment->"Working", +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowTitle->"ApartFF", +TaggingRules->{ + "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> + GridBox[{{ + RowBox[{ + ButtonBox[ + "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", + BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> + Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> + None, "RootCaptions" -> "", + "Metadata" -> { + "built" -> "{2020, 6, 20, 19, 2, 21.495076}", + "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", + "keywords" -> {}, "specialkeywords" -> {}, + "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> + "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> + "None", "summary" -> + "ApartFF[amp, {q1, q2, ...}] partial fractions loop integrals by \ +decomposing them into simpler integrals that contain only linearly \ +independent propagators. It uses FCApart as a backend and works and is \ +suitable also for multiloop integrals.", "synonyms" -> {}, "tabletags" -> {}, + "title" -> "ApartFF", "titlemodifier" -> "", "windowtitle" -> "ApartFF", + "type" -> "Symbol", "uri" -> "FeynCalc/ref/ApartFF"}, + "SearchTextTranslated" -> ""}, +CellContext->"Global`", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", +StyleDefinitions->Notebook[{ + Cell[ + StyleData[ + StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], + Cell[ + StyleData["Input"], CellContext -> "Global`"], + Cell[ + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, + FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", + StyleDefinitions -> "Default.nb"] +] +(* End of Notebook Content *) + +(* Internal cache information *) +(*CellTagsOutline +CellTagsIndex->{ + "PrimaryExamplesSection"->{ + Cell[7663, 228, 388, 15, 31, "PrimaryExamplesSection", + CellTags->"PrimaryExamplesSection", + CellID->2093536089]}, + "RasterizedOutput"->{ + Cell[13219, 457, 4337, 79, 114, "Output", + CellTags->"RasterizedOutput", + CellID->1069267781]} + } +*) +(*CellTagsIndex +CellTagsIndex->{ + {"PrimaryExamplesSection", 130558, 4369}, + {"RasterizedOutput", 130702, 4373} + } +*) +(*NotebookFileOutline +Notebook[{ +Cell[579, 21, 2995, 74, 53, "AnchorBarGrid", + CellID->1], +Cell[3577, 97, 284, 11, 45, "ObjectNameGrid"], +Cell[CellGroupData[{ +Cell[3886, 112, 661, 18, 119, "Usage", + CellID->982511436], +Cell[CellGroupData[{ +Cell[4572, 134, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2020340374], -Cell[5428, 161, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5462, 163, 720, 17, 70, "Notes", + CellID->1561291863], +Cell[5314, 160, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5348, 162, 711, 17, 70, "Notes", CellID->610107001], +Cell[6062, 181, 700, 14, 70, "Notes"], Cell[CellGroupData[{ -Cell[6207, 184, 111, 3, 70, "Input", +Cell[6787, 199, 111, 3, 70, "Input", CellID->1116592623], -Cell[6321, 189, 701, 17, 75, "Output", +Cell[6901, 204, 701, 17, 75, "Output", CellID->1861839595] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7083, 213, 388, 15, 31, "PrimaryExamplesSection", +Cell[7663, 228, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1068520360], + CellID->2093536089], Cell[CellGroupData[{ -Cell[7496, 232, 196, 6, 26, "ExampleSection", - CellID->1045479996], -Cell[7695, 240, 92, 2, 27, "Input"], +Cell[8076, 247, 195, 6, 26, "ExampleSection", + CellID->967968023], +Cell[8274, 255, 92, 2, 27, "Input"], Cell[CellGroupData[{ -Cell[7812, 246, 220, 8, 27, "Input", +Cell[8391, 261, 220, 8, 27, "Input", CellID->591868896], -Cell[8035, 256, 738, 27, 64, "Output"] +Cell[8614, 271, 738, 27, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8810, 288, 130, 4, 27, "Input"], -Cell[8943, 294, 625, 21, 64, "Output"] +Cell[9389, 303, 130, 4, 27, "Input"], +Cell[9522, 309, 625, 21, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9605, 320, 105, 2, 9, "ExampleDelimiter"], +Cell[10184, 335, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[9735, 326, 392, 14, 27, "Input", +Cell[10314, 341, 392, 14, 27, "Input", CellID->1827687893], -Cell[10130, 342, 2340, 89, 60, "Output"] +Cell[10709, 357, 2340, 89, 60, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12507, 436, 130, 4, 27, "Input"], -Cell[12640, 442, 4328, 79, 114, "Output", +Cell[13086, 451, 130, 4, 27, "Input"], +Cell[13219, 457, 4337, 79, 114, "Output", CellTags->"RasterizedOutput", - CellID->720970276] + CellID->1069267781] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[17017, 527, 105, 2, 70, "ExampleDelimiter"], +Cell[17605, 542, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[17147, 533, 255, 9, 70, "Input", +Cell[17735, 548, 255, 9, 27, "Input", CellID->1902480830], -Cell[17405, 544, 1670, 60, 61, "Output"] +Cell[17993, 559, 1670, 60, 61, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[19112, 609, 130, 4, 70, "Input"], -Cell[19245, 615, 2724, 93, 61, "Output"] +Cell[19700, 624, 130, 4, 27, "Input"], +Cell[19833, 630, 2724, 93, 61, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[22018, 714, 105, 2, 70, "ExampleDelimiter"], +Cell[22606, 729, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[22148, 720, 493, 17, 70, "Input", +Cell[22736, 735, 493, 17, 27, "Input", CellID->21286566], -Cell[22644, 739, 3645, 130, 67, "Output"] +Cell[23232, 754, 3645, 130, 67, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[26326, 874, 157, 5, 70, "Input"], -Cell[26486, 881, 22702, 737, 350, "Output"] +Cell[26914, 889, 157, 5, 27, "Input"], +Cell[27074, 896, 22702, 737, 350, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[49237, 1624, 105, 2, 70, "ExampleDelimiter"], +Cell[49825, 1639, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[49367, 1630, 309, 11, 70, "Input"], -Cell[49679, 1643, 1531, 56, 60, "Output"] +Cell[49955, 1645, 309, 11, 27, "Input"], +Cell[50267, 1658, 1531, 56, 60, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[51247, 1704, 130, 4, 70, "Input"], -Cell[51380, 1710, 2290, 75, 67, "Output"] +Cell[51835, 1719, 130, 4, 27, "Input"], +Cell[51968, 1725, 2290, 75, 67, "Output"] }, Open ]], -Cell[53685, 1788, 233, 5, 70, "Notes"], +Cell[54273, 1803, 233, 5, 49, "Notes"], Cell[CellGroupData[{ -Cell[53943, 1797, 177, 5, 70, "Input"], -Cell[54123, 1804, 3066, 101, 67, "Output"] +Cell[54531, 1812, 177, 5, 27, "Input"], +Cell[54711, 1819, 3066, 101, 67, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[57238, 1911, 105, 2, 70, "ExampleDelimiter"], +Cell[57826, 1926, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[57368, 1917, 454, 15, 70, "Input"], -Cell[57825, 1934, 3607, 129, 64, "Output"] +Cell[57956, 1932, 454, 15, 27, "Input"], +Cell[58413, 1949, 3607, 129, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[61469, 2068, 157, 5, 70, "Input"], -Cell[61629, 2075, 12981, 411, 227, "Output"] +Cell[62057, 2083, 157, 5, 27, "Input"], +Cell[62217, 2090, 12981, 411, 227, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[74647, 2491, 204, 6, 70, "Input"], -Cell[74854, 2499, 23267, 730, 385, "Output"] +Cell[75235, 2506, 204, 6, 27, "Input"], +Cell[75442, 2514, 23267, 730, 385, "Output"] }, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[98758, 3250, 105, 2, 9, "ExampleDelimiter"], +Cell[98866, 3254, 215, 5, 49, "Notes"], +Cell[CellGroupData[{ +Cell[99106, 3263, 293, 10, 27, "Input"], +Cell[99402, 3275, 1829, 67, 63, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[101268, 3347, 132, 4, 27, "Input"], +Cell[101403, 3353, 3696, 123, 67, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[105136, 3481, 184, 5, 27, "Input"], +Cell[105323, 3488, 3232, 112, 63, "Output"] +}, Open ]], +Cell[108570, 3603, 86, 2, 27, "Input"] +}, Open ]], +Cell[CellGroupData[{ +Cell[108693, 3610, 105, 2, 9, "ExampleDelimiter"], +Cell[108801, 3614, 215, 6, 49, "Notes"], +Cell[CellGroupData[{ +Cell[109041, 3624, 379, 13, 27, "Input"], +Cell[109423, 3639, 2011, 75, 67, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[111471, 3719, 132, 4, 27, "Input"], +Cell[111606, 3725, 4029, 136, 67, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[115672, 3866, 193, 5, 27, "Input"], +Cell[115868, 3873, 5393, 180, 121, "Output"] +}, Open ]], +Cell[121276, 4056, 86, 2, 27, "Input"] +}, Open ]], +Cell[CellGroupData[{ +Cell[121399, 4063, 105, 2, 9, "ExampleDelimiter"], +Cell[121507, 4067, 118, 3, 32, "Notes"], +Cell[CellGroupData[{ +Cell[121650, 4074, 374, 13, 27, "Input"], +Cell[122027, 4089, 1286, 41, 60, "Output"] +}, Open ]], +Cell[123328, 4133, 93, 4, 32, "Notes"], +Cell[CellGroupData[{ +Cell[123446, 4141, 132, 4, 27, "Input"], +Cell[123581, 4147, 1241, 39, 60, "Output"] +}, Open ]], +Cell[124837, 4189, 115, 3, 32, "Notes"], +Cell[CellGroupData[{ +Cell[124977, 4196, 362, 12, 27, "Input"], +Cell[125342, 4210, 2358, 68, 64, "Output"] +}, Open ]], +Cell[127715, 4281, 197, 5, 49, "Notes"], +Cell[127915, 4288, 86, 2, 27, "Input"] }, Open ]] }, Open ]], -Cell[98160, 3234, 31, 0, 70, "SectionFooterSpacer"] +Cell[128028, 4294, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[98228, 3239, 270, 12, 70, "SeeAlsoSection", +Cell[128096, 4299, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[98501, 3253, 189, 5, 70, "SeeAlso", +Cell[128369, 4313, 189, 5, 56, "SeeAlso", CellID->929782353] }, Open ]], -Cell[98705, 3261, 23, 0, 70, "FooterCell"] +Cell[128573, 4321, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0.nb index 65dd4c8f5..b146d37eb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15506, 553] -NotebookOptionsPosition[ 11001, 407] -NotebookOutlinePosition[ 13937, 492] -CellTagsIndexPosition[ 13831, 486] +NotebookDataLength[ 15558, 554] +NotebookOptionsPosition[ 10999, 407] +NotebookOutlinePosition[ 13991, 493] +CellTagsIndexPosition[ 13885, 487] WindowTitle->B0 WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$26324], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$26429], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/B0", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->783933584], + CellID->254452228], Cell["", "SectionHeaderSpacer"], @@ -208,7 +208,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2057314077], + CellID->583107095], Cell[CellGroupData[{ @@ -218,7 +218,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1428194661], + CellID->475084198], Cell[CellGroupData[{ @@ -407,8 +407,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowSize->{808, 840}, +WindowMargins->{{268, Automatic}, {Automatic, 20}}, WindowTitle->"B0", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -420,7 +420,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 45.377340}", + "built" -> "{2020, 6, 20, 19, 2, 24.538310}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -442,7 +442,8 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, + WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -457,36 +458,36 @@ CellTagsIndex->{ CellID->1219933183], Cell[5823, 176, 367, 12, 37, "Output", CellTags->"B0"], - Cell[6885, 224, 254, 9, 33, "Input", + Cell[6883, 224, 254, 9, 33, "Input", CellTags->"B0", CellID->1494166331], - Cell[7142, 235, 596, 23, 42, "Output", + Cell[7140, 235, 596, 23, 42, "Output", CellTags->"B0"], - Cell[7775, 263, 271, 8, 33, "Input", + Cell[7773, 263, 271, 8, 33, "Input", CellTags->"B0", CellID->510341898], - Cell[8049, 273, 480, 18, 42, "Output", + Cell[8047, 273, 480, 18, 42, "Output", CellTags->"B0"], - Cell[8566, 296, 297, 9, 33, "Input", + Cell[8564, 296, 297, 9, 33, "Input", CellTags->"B0", CellID->1178094654], - Cell[8866, 307, 480, 18, 42, "Output", + Cell[8864, 307, 480, 18, 42, "Output", CellTags->"B0"], - Cell[9383, 330, 196, 7, 27, "Input", + Cell[9381, 330, 196, 7, 27, "Input", CellTags->"B0", CellID->828170126], - Cell[9582, 339, 405, 15, 42, "Output", + Cell[9580, 339, 405, 15, 42, "Output", CellTags->"B0"]}, "PrimaryExamplesSection"->{ - Cell[6251, 195, 388, 15, 31, "PrimaryExamplesSection", + Cell[6251, 195, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2057314077]} + CellID->583107095]} } *) (*CellTagsIndex CellTagsIndex->{ - {"B0", 12944, 453}, - {"PrimaryExamplesSection", 13687, 479} + {"B0", 12999, 454}, + {"PrimaryExamplesSection", 13742, 480} } *) (*NotebookFileOutline @@ -500,7 +501,7 @@ Cell[4090, 115, 786, 21, 120, "Usage", Cell[CellGroupData[{ Cell[4901, 140, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->783933584], + CellID->254452228], Cell[5642, 166, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5698, 170, 122, 4, 70, "Input", @@ -512,49 +513,49 @@ Cell[5823, 176, 367, 12, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6251, 195, 388, 15, 31, "PrimaryExamplesSection", +Cell[6251, 195, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2057314077], + CellID->583107095], Cell[CellGroupData[{ -Cell[6664, 214, 196, 6, 26, "ExampleSection", - CellID->1428194661], +Cell[6663, 214, 195, 6, 26, "ExampleSection", + CellID->475084198], Cell[CellGroupData[{ -Cell[6885, 224, 254, 9, 33, "Input", +Cell[6883, 224, 254, 9, 33, "Input", CellTags->"B0", CellID->1494166331], -Cell[7142, 235, 596, 23, 42, "Output", +Cell[7140, 235, 596, 23, 42, "Output", CellTags->"B0"] }, Open ]], Cell[CellGroupData[{ -Cell[7775, 263, 271, 8, 33, "Input", +Cell[7773, 263, 271, 8, 33, "Input", CellTags->"B0", CellID->510341898], -Cell[8049, 273, 480, 18, 42, "Output", +Cell[8047, 273, 480, 18, 42, "Output", CellTags->"B0"] }, Open ]], Cell[CellGroupData[{ -Cell[8566, 296, 297, 9, 33, "Input", +Cell[8564, 296, 297, 9, 33, "Input", CellTags->"B0", CellID->1178094654], -Cell[8866, 307, 480, 18, 42, "Output", +Cell[8864, 307, 480, 18, 42, "Output", CellTags->"B0"] }, Open ]], Cell[CellGroupData[{ -Cell[9383, 330, 196, 7, 27, "Input", +Cell[9381, 330, 196, 7, 27, "Input", CellTags->"B0", CellID->828170126], -Cell[9582, 339, 405, 15, 42, "Output", +Cell[9580, 339, 405, 15, 42, "Output", CellTags->"B0"] }, Open ]] }, Open ]], -Cell[10014, 358, 31, 0, 29, "SectionFooterSpacer"] +Cell[10012, 358, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10082, 363, 270, 12, 31, "SeeAlsoSection", +Cell[10080, 363, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10355, 377, 604, 25, 56, "SeeAlso"] +Cell[10353, 377, 604, 25, 56, "SeeAlso"] }, Open ]], -Cell[10974, 405, 23, 0, 41, "FooterCell"] +Cell[10972, 405, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B00.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B00.nb index 89519a572..97e4d3e73 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B00.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B00.nb @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$25875], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$25980], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/B00", ".html"]], None}]}]}, @@ -160,7 +160,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1465599537], + CellID->1270186233], Cell["", "SectionHeaderSpacer"], @@ -177,7 +177,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"BReduce", "\[Rule]", "True"}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{114, 14}, + ImageSize->{114, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"B00", @@ -204,7 +204,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->525586557], + CellID->365418886], Cell[CellGroupData[{ @@ -214,7 +214,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1507522507], + CellID->1391675773], Cell[CellGroupData[{ @@ -613,7 +613,7 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, +WindowSize->{808, 840}, WindowMargins->{{268, Automatic}, {Automatic, 20}}, WindowTitle->"B00", TaggingRules->{ @@ -626,7 +626,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 44.085009}", + "built" -> "{2020, 6, 20, 19, 2, 23.089924}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -660,7 +660,7 @@ CellTagsIndex->{ Cell[5507, 168, 123, 4, 70, "Input", CellTags->"B00", CellID->356334892], - Cell[5633, 174, 269, 10, 35, "Output", + Cell[5633, 174, 269, 10, 37, "Output", CellTags->"B00", CellID->729895507], Cell[6596, 220, 232, 8, 33, "Input", @@ -691,7 +691,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5963, 191, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->525586557]} + CellID->365418886]} } *) (*CellTagsIndex @@ -711,13 +711,13 @@ Cell[4004, 114, 680, 20, 102, "Usage", Cell[CellGroupData[{ Cell[4709, 138, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1465599537], + CellID->1270186233], Cell[5451, 164, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5507, 168, 123, 4, 70, "Input", CellTags->"B00", CellID->356334892], -Cell[5633, 174, 269, 10, 35, "Output", +Cell[5633, 174, 269, 10, 37, "Output", CellTags->"B00", CellID->729895507] }, Open ]] @@ -726,10 +726,10 @@ Cell[5633, 174, 269, 10, 35, "Output", Cell[CellGroupData[{ Cell[5963, 191, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->525586557], + CellID->365418886], Cell[CellGroupData[{ Cell[6375, 210, 196, 6, 26, "ExampleSection", - CellID->1507522507], + CellID->1391675773], Cell[CellGroupData[{ Cell[6596, 220, 232, 8, 33, "Input", CellTags->"B00", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0Real.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0Real.nb index bec6e4b9b..f5febef9d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0Real.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0Real.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10282, 347] -NotebookOptionsPosition[ 6881, 244] -NotebookOutlinePosition[ 9356, 313] -CellTagsIndexPosition[ 9248, 307] +NotebookDataLength[ 10222, 346] +NotebookOptionsPosition[ 6880, 244] +NotebookOutlinePosition[ 9297, 312] +CellTagsIndexPosition[ 9189, 306] WindowTitle->B0Real WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$26768], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$26873], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/B0Real", ".html"]], None}]}]}, @@ -139,7 +139,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->953528149], + CellID->38023529], Cell[CellGroupData[{ @@ -149,7 +149,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->434066379], + CellID->251346935], Cell["By default the arguments are not assumed real.", "Notes"], @@ -245,7 +245,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"B0Real", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -257,7 +257,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 46.578599}", + "built" -> "{2020, 6, 20, 19, 2, 25.913080}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -277,8 +277,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -288,26 +287,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4315, 126, 387, 15, 31, "PrimaryExamplesSection", + Cell[4315, 126, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->953528149]}, + CellID->38023529]}, "B0Real"->{ - Cell[5013, 157, 153, 5, 27, "Input", + Cell[5012, 157, 153, 5, 27, "Input", CellTags->"B0Real", CellID->1048836421], - Cell[5169, 164, 352, 13, 37, "Output", + Cell[5168, 164, 352, 13, 37, "Output", CellTags->"B0Real"], - Cell[5625, 184, 250, 7, 27, "Input", + Cell[5624, 184, 250, 7, 27, "Input", CellTags->"B0Real", CellID->848873063], - Cell[5878, 193, 424, 16, 37, "Output", + Cell[5877, 193, 424, 16, 37, "Output", CellTags->"B0Real"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8790, 289}, - {"B0Real", 8923, 293} + {"PrimaryExamplesSection", 8732, 288}, + {"B0Real", 8864, 292} } *) (*NotebookFileOutline @@ -318,37 +317,37 @@ Cell[3561, 97, 283, 11, 45, "ObjectNameGrid"], Cell[3847, 110, 443, 12, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4315, 126, 387, 15, 31, "PrimaryExamplesSection", +Cell[4315, 126, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->953528149], + CellID->38023529], Cell[CellGroupData[{ -Cell[4727, 145, 195, 6, 26, "ExampleSection", - CellID->434066379], -Cell[4925, 153, 63, 0, 32, "Notes"], +Cell[4726, 145, 195, 6, 26, "ExampleSection", + CellID->251346935], +Cell[4924, 153, 63, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[5013, 157, 153, 5, 27, "Input", +Cell[5012, 157, 153, 5, 27, "Input", CellTags->"B0Real", CellID->1048836421], -Cell[5169, 164, 352, 13, 37, "Output", +Cell[5168, 164, 352, 13, 37, "Output", CellTags->"B0Real"] }, Open ]], -Cell[5536, 180, 64, 0, 32, "Notes"], +Cell[5535, 180, 64, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[5625, 184, 250, 7, 27, "Input", +Cell[5624, 184, 250, 7, 27, "Input", CellTags->"B0Real", CellID->848873063], -Cell[5878, 193, 424, 16, 37, "Output", +Cell[5877, 193, 424, 16, 37, "Output", CellTags->"B0Real"] }, Open ]] }, Open ]], -Cell[6329, 213, 31, 0, 29, "SectionFooterSpacer"] +Cell[6328, 213, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6397, 218, 270, 12, 31, "SeeAlsoSection", +Cell[6396, 218, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6670, 232, 169, 7, 56, "SeeAlso"] +Cell[6669, 232, 169, 7, 56, "SeeAlso"] }, Open ]], -Cell[6854, 242, 23, 0, 41, "FooterCell"] +Cell[6853, 242, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0Unique.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0Unique.nb index c4ab46600..27987a034 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0Unique.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B0Unique.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10220, 345] +NotebookDataLength[ 10219, 345] NotebookOptionsPosition[ 6851, 243] -NotebookOutlinePosition[ 9286, 311] -CellTagsIndexPosition[ 9176, 305] +NotebookOutlinePosition[ 9285, 311] +CellTagsIndexPosition[ 9175, 305] WindowTitle->B0Unique WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$27206], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$27311], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/B0Unique", ".html"]], None}]}]}, @@ -139,7 +139,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1501296835], + CellID->858293551], Cell[CellGroupData[{ @@ -149,7 +149,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->791572088], + CellID->1908271233], Cell["By default no transformation is done.", "Notes"], @@ -256,7 +256,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 47.637956}", + "built" -> "{2020, 6, 20, 19, 2, 26.869980}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -286,9 +286,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4323, 126, 388, 15, 31, "PrimaryExamplesSection", + Cell[4323, 126, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1501296835]}, + CellID->858293551]}, "B0Unique"->{ Cell[5013, 157, 154, 5, 27, "Input", CellTags->"B0Unique", @@ -305,7 +305,7 @@ CellTagsIndex->{ (*CellTagsIndex CellTagsIndex->{ {"PrimaryExamplesSection", 8708, 287}, - {"B0Unique", 8844, 291} + {"B0Unique", 8843, 291} } *) (*NotebookFileOutline @@ -316,12 +316,12 @@ Cell[3571, 97, 285, 11, 45, "ObjectNameGrid"], Cell[3859, 110, 439, 12, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4323, 126, 388, 15, 31, "PrimaryExamplesSection", +Cell[4323, 126, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1501296835], + CellID->858293551], Cell[CellGroupData[{ -Cell[4736, 145, 195, 6, 26, "ExampleSection", - CellID->791572088], +Cell[4735, 145, 196, 6, 26, "ExampleSection", + CellID->1908271233], Cell[4934, 153, 54, 0, 32, "Notes"], Cell[CellGroupData[{ Cell[5013, 157, 154, 5, 27, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B1.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B1.nb index 90ce63267..26cc393e5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B1.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B1.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21466, 803] -NotebookOptionsPosition[ 16410, 635] -NotebookOutlinePosition[ 19388, 723] -CellTagsIndexPosition[ 19282, 717] +NotebookDataLength[ 21406, 802] +NotebookOptionsPosition[ 16409, 635] +NotebookOutlinePosition[ 19329, 722] +CellTagsIndexPosition[ 19223, 716] WindowTitle->B1 WindowFrame->Normal*) @@ -83,7 +83,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$28103], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$28208], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/B1", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1377241680], + CellID->425155511], Cell["", "SectionHeaderSpacer"], @@ -178,7 +178,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"BReduce", "\[Rule]", "True"}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{114, 14}, + ImageSize->{114, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"B1", @@ -204,7 +204,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1493676351], + CellID->635821720], Cell[CellGroupData[{ @@ -214,7 +214,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->261859712], + CellID->1003979168], Cell[CellGroupData[{ @@ -648,7 +648,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 50.048738}", + "built" -> "{2020, 6, 20, 19, 2, 29.016101}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -667,8 +667,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -678,46 +677,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "B1"->{ - Cell[5628, 169, 123, 4, 70, "Input", + Cell[5627, 169, 123, 4, 70, "Input", CellTags->"B1", CellID->1893937597], - Cell[5754, 175, 249, 9, 35, "Output", + Cell[5753, 175, 249, 9, 37, "Output", CellTags->"B1"], - Cell[6697, 220, 230, 8, 33, "Input", + Cell[6696, 220, 230, 8, 33, "Input", CellTags->"B1", CellID->1808836307], - Cell[6930, 230, 2092, 83, 65, "Output", + Cell[6929, 230, 2092, 83, 65, "Output", CellTags->"B1"], - Cell[9059, 318, 280, 9, 33, "Input", + Cell[9058, 318, 280, 9, 33, "Input", CellTags->"B1", CellID->1461354182], - Cell[9342, 329, 564, 22, 42, "Output", + Cell[9341, 329, 564, 22, 42, "Output", CellTags->"B1"], - Cell[11715, 431, 198, 7, 33, "Input", + Cell[11714, 431, 198, 7, 33, "Input", CellTags->"B1", CellID->313475676], - Cell[11916, 440, 767, 30, 62, "Output", + Cell[11915, 440, 767, 30, 62, "Output", CellTags->"B1"], - Cell[13359, 502, 173, 6, 33, "Input", + Cell[13358, 502, 173, 6, 33, "Input", CellTags->"B1", CellID->241881109], - Cell[13535, 510, 376, 14, 42, "Output", + Cell[13534, 510, 376, 14, 42, "Output", CellTags->"B1"], - Cell[13948, 529, 292, 9, 33, "Input", + Cell[13947, 529, 292, 9, 33, "Input", CellTags->"B1", CellID->2089704958], - Cell[14243, 540, 988, 36, 65, "Output", + Cell[14242, 540, 988, 36, 65, "Output", CellTags->"B1"]}, "PrimaryExamplesSection"->{ - Cell[6064, 191, 388, 15, 31, "PrimaryExamplesSection", + Cell[6063, 191, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1493676351]} + CellID->635821720]} } *) (*CellTagsIndex CellTagsIndex->{ - {"B1", 18246, 679}, - {"PrimaryExamplesSection", 19138, 710} + {"B1", 18188, 678}, + {"PrimaryExamplesSection", 19080, 709} } *) (*NotebookFileOutline @@ -729,82 +728,82 @@ Cell[CellGroupData[{ Cell[4180, 116, 625, 19, 86, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4830, 139, 739, 24, 31, "NotesSection", +Cell[4830, 139, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1377241680], -Cell[5572, 165, 31, 0, 70, "SectionHeaderSpacer"], + CellID->425155511], +Cell[5571, 165, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5628, 169, 123, 4, 70, "Input", +Cell[5627, 169, 123, 4, 70, "Input", CellTags->"B1", CellID->1893937597], -Cell[5754, 175, 249, 9, 35, "Output", +Cell[5753, 175, 249, 9, 37, "Output", CellTags->"B1"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6064, 191, 388, 15, 31, "PrimaryExamplesSection", +Cell[6063, 191, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1493676351], + CellID->635821720], Cell[CellGroupData[{ -Cell[6477, 210, 195, 6, 26, "ExampleSection", - CellID->261859712], +Cell[6475, 210, 196, 6, 26, "ExampleSection", + CellID->1003979168], Cell[CellGroupData[{ -Cell[6697, 220, 230, 8, 33, "Input", +Cell[6696, 220, 230, 8, 33, "Input", CellTags->"B1", CellID->1808836307], -Cell[6930, 230, 2092, 83, 65, "Output", +Cell[6929, 230, 2092, 83, 65, "Output", CellTags->"B1"] }, Open ]], Cell[CellGroupData[{ -Cell[9059, 318, 280, 9, 33, "Input", +Cell[9058, 318, 280, 9, 33, "Input", CellTags->"B1", CellID->1461354182], -Cell[9342, 329, 564, 22, 42, "Output", +Cell[9341, 329, 564, 22, 42, "Output", CellTags->"B1"] }, Open ]], Cell[CellGroupData[{ -Cell[9943, 356, 191, 6, 33, "Input"], -Cell[10137, 364, 712, 27, 56, "Output"] +Cell[9942, 356, 191, 6, 33, "Input"], +Cell[10136, 364, 712, 27, 56, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10886, 396, 242, 7, 33, "Input"], -Cell[11131, 405, 547, 21, 42, "Output"] +Cell[10885, 396, 242, 7, 33, "Input"], +Cell[11130, 405, 547, 21, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11715, 431, 198, 7, 33, "Input", +Cell[11714, 431, 198, 7, 33, "Input", CellTags->"B1", CellID->313475676], -Cell[11916, 440, 767, 30, 62, "Output", +Cell[11915, 440, 767, 30, 62, "Output", CellTags->"B1"] }, Open ]], Cell[CellGroupData[{ -Cell[12720, 475, 211, 6, 33, "Input"], -Cell[12934, 483, 388, 14, 42, "Output"] +Cell[12719, 475, 211, 6, 33, "Input"], +Cell[12933, 483, 388, 14, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[13359, 502, 173, 6, 33, "Input", +Cell[13358, 502, 173, 6, 33, "Input", CellTags->"B1", CellID->241881109], -Cell[13535, 510, 376, 14, 42, "Output", +Cell[13534, 510, 376, 14, 42, "Output", CellTags->"B1"] }, Open ]], Cell[CellGroupData[{ -Cell[13948, 529, 292, 9, 33, "Input", +Cell[13947, 529, 292, 9, 33, "Input", CellTags->"B1", CellID->2089704958], -Cell[14243, 540, 988, 36, 65, "Output", +Cell[14242, 540, 988, 36, 65, "Output", CellTags->"B1"] }, Open ]] }, Open ]], -Cell[15258, 580, 31, 0, 29, "SectionFooterSpacer"] +Cell[15257, 580, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[15326, 585, 270, 12, 31, "SeeAlsoSection", +Cell[15325, 585, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[15599, 599, 769, 31, 56, "SeeAlso"] +Cell[15598, 599, 769, 31, 56, "SeeAlso"] }, Open ]], -Cell[16383, 633, 23, 0, 41, "FooterCell"] +Cell[16382, 633, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B11.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B11.nb index 2ebf1bf26..93aa79911 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/B11.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/B11.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 24652, 910] +NotebookDataLength[ 24595, 909] NotebookOptionsPosition[ 19895, 757] -NotebookOutlinePosition[ 22671, 836] -CellTagsIndexPosition[ 22564, 830] +NotebookOutlinePosition[ 22614, 835] +CellTagsIndexPosition[ 22507, 829] WindowTitle->B11 WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$27649], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$27754], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/B11", ".html"]], None}]}]}, @@ -170,7 +170,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1000064194], + CellID->1514311582], Cell["", "SectionHeaderSpacer"], @@ -185,7 +185,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"BReduce", "\[Rule]", "True"}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{114, 14}, + ImageSize->{114, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[79]="] @@ -210,7 +210,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->762842591], + CellID->489149153], Cell[CellGroupData[{ @@ -220,7 +220,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2010682123], + CellID->1292066255], Cell[CellGroupData[{ @@ -770,7 +770,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 48.708627}", + "built" -> "{2020, 6, 20, 19, 2, 27.910028}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -790,8 +790,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -803,7 +802,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6214, 197, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->762842591]}, + CellID->489149153]}, "B11"->{ Cell[6847, 226, 230, 8, 33, "Input", CellTags->"B11", @@ -829,8 +828,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 21823, 802}, - {"B11", 21953, 806} + {"PrimaryExamplesSection", 21766, 801}, + {"B11", 21896, 805} } *) (*NotebookFileOutline @@ -844,21 +843,21 @@ Cell[4080, 115, 929, 29, 104, "Usage", Cell[CellGroupData[{ Cell[5034, 148, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1000064194], + CellID->1514311582], Cell[5776, 174, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5832, 178, 86, 2, 70, "Input"], -Cell[5921, 182, 232, 8, 35, "Output"] +Cell[5921, 182, 232, 8, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell[6214, 197, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->762842591], + CellID->489149153], Cell[CellGroupData[{ Cell[6626, 216, 196, 6, 26, "ExampleSection", - CellID->2010682123], + CellID->1292066255], Cell[CellGroupData[{ Cell[6847, 226, 230, 8, 33, "Input", CellTags->"B11", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/BReduce.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/BReduce.nb index 656e78cc3..c45bf5232 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/BReduce.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/BReduce.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11258, 387] -NotebookOptionsPosition[ 7939, 285] -NotebookOutlinePosition[ 10326, 353] -CellTagsIndexPosition[ 10217, 347] +NotebookDataLength[ 11261, 387] +NotebookOptionsPosition[ 7940, 285] +NotebookOutlinePosition[ 10328, 353] +CellTagsIndexPosition[ 10219, 347] WindowTitle->BReduce WindowFrame->Normal*) @@ -83,7 +83,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$29449], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$29554], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/BReduce", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->547132226], + CellID->1460747636], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->359745152], + CellID->455130997], Cell[TextData[{ "By default ", @@ -285,8 +285,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"BReduce", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -298,7 +298,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 53.668274}", + "built" -> "{2020, 6, 20, 19, 2, 32.093976}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -328,26 +328,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4583, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4583, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->547132226]}, + CellID->1460747636]}, "BReduce"->{ - Cell[5448, 171, 153, 5, 27, "Input", + Cell[5449, 171, 153, 5, 27, "Input", CellTags->"BReduce", CellID->768966684], - Cell[5604, 178, 353, 13, 37, "Output", + Cell[5605, 178, 353, 13, 37, "Output", CellTags->"BReduce"], - Cell[6062, 198, 202, 6, 27, "Input", + Cell[6063, 198, 202, 6, 27, "Input", CellTags->"BReduce", CellID->876027895], - Cell[6267, 206, 523, 20, 55, "Output", + Cell[6268, 206, 523, 20, 55, "Output", CellTags->"BReduce"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9755, 329}, - {"BReduce", 9889, 333} + {"PrimaryExamplesSection", 9756, 329}, + {"BReduce", 9891, 333} } *) (*NotebookFileOutline @@ -358,37 +358,37 @@ Cell[3867, 101, 284, 11, 45, "ObjectNameGrid"], Cell[4154, 114, 404, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4583, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4583, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->547132226], + CellID->1460747636], Cell[CellGroupData[{ -Cell[4995, 149, 195, 6, 26, "ExampleSection", - CellID->359745152], -Cell[5193, 157, 230, 10, 33, "Notes"], +Cell[4996, 149, 195, 6, 26, "ExampleSection", + CellID->455130997], +Cell[5194, 157, 230, 10, 33, "Notes"], Cell[CellGroupData[{ -Cell[5448, 171, 153, 5, 27, "Input", +Cell[5449, 171, 153, 5, 27, "Input", CellTags->"BReduce", CellID->768966684], -Cell[5604, 178, 353, 13, 37, "Output", +Cell[5605, 178, 353, 13, 37, "Output", CellTags->"BReduce"] }, Open ]], -Cell[5972, 194, 65, 0, 32, "Notes"], +Cell[5973, 194, 65, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[6062, 198, 202, 6, 27, "Input", +Cell[6063, 198, 202, 6, 27, "Input", CellTags->"BReduce", CellID->876027895], -Cell[6267, 206, 523, 20, 55, "Output", +Cell[6268, 206, 523, 20, 55, "Output", CellTags->"BReduce"] }, Open ]] }, Open ]], -Cell[6817, 230, 31, 0, 29, "SectionFooterSpacer"] +Cell[6818, 230, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6885, 235, 270, 12, 31, "SeeAlsoSection", +Cell[6886, 235, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7158, 249, 739, 31, 56, "SeeAlso"] +Cell[7159, 249, 739, 31, 56, "SeeAlso"] }, Open ]], -Cell[7912, 283, 23, 0, 41, "FooterCell"] +Cell[7913, 283, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/BackgroundGluonVertex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/BackgroundGluonVertex.nb index 8331f4856..55ff26ad6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/BackgroundGluonVertex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/BackgroundGluonVertex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 36643, 1305] -NotebookOptionsPosition[ 31321, 1151] -NotebookOutlinePosition[ 34707, 1239] -CellTagsIndexPosition[ 34580, 1233] +NotebookDataLength[ 36641, 1305] +NotebookOptionsPosition[ 31320, 1151] +NotebookOutlinePosition[ 34706, 1239] +CellTagsIndexPosition[ 34579, 1233] WindowTitle->BackgroundGluonVertex WindowFrame->Normal*) @@ -79,7 +79,7 @@ BackgroundGluonVertex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$28560], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$28665], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/BackgroundGluonVertex", ".html"]], None}]}]}, @@ -180,7 +180,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1132022700], + CellID->601428990], Cell["", "SectionHeaderSpacer"], @@ -265,7 +265,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->209588052], + CellID->866643264], Cell[CellGroupData[{ @@ -275,7 +275,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->121079241], + CellID->121664414], Cell[CellGroupData[{ @@ -1164,7 +1164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 51.452845}", + "built" -> "{2020, 6, 20, 19, 2, 30.148438}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1198,42 +1198,42 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "BackgroundGluonVertex"->{ - Cell[7325, 226, 159, 4, 70, "Input", + Cell[7324, 226, 159, 4, 27, "Input", CellTags->"BackgroundGluonVertex", CellID->236798928], - Cell[7487, 232, 425, 13, 37, "Output", + Cell[7486, 232, 425, 13, 37, "Output", CellTags->"BackgroundGluonVertex", CellID->114339715], - Cell[8605, 281, 380, 11, 27, "Input", + Cell[8604, 281, 380, 11, 27, "Input", CellTags->"BackgroundGluonVertex", CellID->1056949570], - Cell[8988, 294, 2501, 101, 43, "Output", + Cell[8987, 294, 2501, 101, 43, "Output", CellTags->"BackgroundGluonVertex"], - Cell[11526, 400, 455, 13, 27, "Input", + Cell[11525, 400, 455, 13, 27, "Input", CellTags->"BackgroundGluonVertex", CellID->196355292], - Cell[11984, 415, 7497, 279, 93, "Output", + Cell[11983, 415, 7497, 279, 93, "Output", CellTags->"BackgroundGluonVertex"], - Cell[19518, 699, 430, 12, 27, "Input", + Cell[19517, 699, 430, 12, 27, "Input", CellTags->"BackgroundGluonVertex", CellID->410624714], - Cell[19951, 713, 2578, 103, 56, "Output", + Cell[19950, 713, 2578, 103, 56, "Output", CellTags->"BackgroundGluonVertex"], - Cell[22566, 821, 507, 14, 45, "Input", + Cell[22565, 821, 507, 14, 45, "Input", CellTags->"BackgroundGluonVertex", CellID->1007521255], - Cell[23076, 837, 7654, 282, 152, "Output", + Cell[23075, 837, 7654, 282, 152, "Output", CellTags->"BackgroundGluonVertex"]}, "PrimaryExamplesSection"->{ - Cell[7973, 252, 387, 15, 31, "PrimaryExamplesSection", + Cell[7972, 252, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->209588052]} + CellID->866643264]} } *) (*CellTagsIndex CellTagsIndex->{ - {"BackgroundGluonVertex", 33464, 1199}, - {"PrimaryExamplesSection", 34437, 1226} + {"BackgroundGluonVertex", 33463, 1199}, + {"PrimaryExamplesSection", 34436, 1226} } *) (*NotebookFileOutline @@ -1245,68 +1245,68 @@ Cell[CellGroupData[{ Cell[3979, 112, 1544, 42, 165, "Usage", CellID->2010081510], Cell[CellGroupData[{ -Cell[5548, 158, 739, 24, 31, "NotesSection", +Cell[5548, 158, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1132022700], -Cell[6290, 184, 31, 0, 70, "SectionHeaderSpacer"], -Cell[6324, 186, 537, 19, 70, "Notes", + CellID->601428990], +Cell[6289, 184, 31, 0, 14, "SectionHeaderSpacer"], +Cell[6323, 186, 537, 19, 49, "Notes", CellID->1067943069], -Cell[6864, 207, 178, 5, 70, "Notes"], -Cell[7045, 214, 255, 8, 70, "Notes"], +Cell[6863, 207, 178, 5, 49, "Notes"], +Cell[7044, 214, 255, 8, 32, "Notes"], Cell[CellGroupData[{ -Cell[7325, 226, 159, 4, 70, "Input", +Cell[7324, 226, 159, 4, 27, "Input", CellTags->"BackgroundGluonVertex", CellID->236798928], -Cell[7487, 232, 425, 13, 37, "Output", +Cell[7486, 232, 425, 13, 37, "Output", CellTags->"BackgroundGluonVertex", CellID->114339715] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7973, 252, 387, 15, 31, "PrimaryExamplesSection", +Cell[7972, 252, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->209588052], + CellID->866643264], Cell[CellGroupData[{ -Cell[8385, 271, 195, 6, 26, "ExampleSection", - CellID->121079241], +Cell[8384, 271, 195, 6, 26, "ExampleSection", + CellID->121664414], Cell[CellGroupData[{ -Cell[8605, 281, 380, 11, 27, "Input", +Cell[8604, 281, 380, 11, 27, "Input", CellTags->"BackgroundGluonVertex", CellID->1056949570], -Cell[8988, 294, 2501, 101, 43, "Output", +Cell[8987, 294, 2501, 101, 43, "Output", CellTags->"BackgroundGluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[11526, 400, 455, 13, 27, "Input", +Cell[11525, 400, 455, 13, 27, "Input", CellTags->"BackgroundGluonVertex", CellID->196355292], -Cell[11984, 415, 7497, 279, 93, "Output", +Cell[11983, 415, 7497, 279, 93, "Output", CellTags->"BackgroundGluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[19518, 699, 430, 12, 27, "Input", +Cell[19517, 699, 430, 12, 27, "Input", CellTags->"BackgroundGluonVertex", CellID->410624714], -Cell[19951, 713, 2578, 103, 56, "Output", +Cell[19950, 713, 2578, 103, 56, "Output", CellTags->"BackgroundGluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[22566, 821, 507, 14, 45, "Input", +Cell[22565, 821, 507, 14, 45, "Input", CellTags->"BackgroundGluonVertex", CellID->1007521255], -Cell[23076, 837, 7654, 282, 152, "Output", +Cell[23075, 837, 7654, 282, 152, "Output", CellTags->"BackgroundGluonVertex"] }, Open ]] }, Open ]], -Cell[30757, 1123, 31, 0, 29, "SectionFooterSpacer"] +Cell[30756, 1123, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[30825, 1128, 270, 12, 31, "SeeAlsoSection", +Cell[30824, 1128, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[31098, 1142, 181, 4, 56, "SeeAlso"] +Cell[31097, 1142, 181, 4, 56, "SeeAlso"] }, Open ]], -Cell[31294, 1149, 23, 0, 41, "FooterCell"] +Cell[31293, 1149, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Bracket.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Bracket.nb index 753d49040..70c76e541 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Bracket.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Bracket.nb @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$29001], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$29106], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Bracket", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 52.749365}", + "built" -> "{2020, 6, 20, 19, 2, 31.268862}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/C0.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/C0.nb index 1ae3cb42b..ea83e51bd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/C0.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/C0.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12397, 418] +NotebookDataLength[ 12394, 418] NotebookOptionsPosition[ 8686, 304] -NotebookOutlinePosition[ 11391, 379] -CellTagsIndexPosition[ 11285, 373] +NotebookOutlinePosition[ 11388, 379] +CellTagsIndexPosition[ 11282, 373] WindowTitle->C0 WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$29896], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$30001], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/C0", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1362566519], + CellID->1733312044], Cell[CellGroupData[{ @@ -163,7 +163,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2034063019], + CellID->1184301305], Cell[CellGroupData[{ @@ -305,7 +305,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"C0", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -317,7 +317,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 54.761726}", + "built" -> "{2020, 6, 20, 19, 2, 33.085075}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -351,7 +351,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5009, 140, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1362566519]}, + CellID->1733312044]}, "C0"->{ Cell[5643, 169, 192, 6, 27, "Input", CellTags->"C0", @@ -372,8 +372,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10703, 350}, - {"C0", 10833, 354} + {"PrimaryExamplesSection", 10700, 350}, + {"C0", 10830, 354} } *) (*NotebookFileOutline @@ -386,10 +386,10 @@ Cell[4078, 113, 906, 23, 120, "Usage", Cell[CellGroupData[{ Cell[5009, 140, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1362566519], + CellID->1733312044], Cell[CellGroupData[{ Cell[5422, 159, 196, 6, 26, "ExampleSection", - CellID->2034063019], + CellID->1184301305], Cell[CellGroupData[{ Cell[5643, 169, 192, 6, 27, "Input", CellTags->"C0", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CA.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CA.nb index 39edfda04..95da8bda3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CA.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CA.nb @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$31673], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$31778], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CA", ".html"]], None}]}]}, @@ -145,7 +145,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1253702121], + CellID->1338547254], Cell[CellGroupData[{ @@ -155,7 +155,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1260543835], + CellID->1659149539], Cell[CellGroupData[{ @@ -249,8 +249,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CA", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -262,7 +262,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 59.334402}", + "built" -> "{2020, 6, 20, 19, 2, 36.983322}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -293,7 +293,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4431, 132, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1253702121]}, + CellID->1338547254]}, "CA"->{ Cell[5065, 161, 88, 3, 27, "Input", CellTags->"CA", @@ -328,10 +328,10 @@ Cell[3930, 111, 476, 17, 85, "Usage", Cell[CellGroupData[{ Cell[4431, 132, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1253702121], + CellID->1338547254], Cell[CellGroupData[{ Cell[4844, 151, 196, 6, 26, "ExampleSection", - CellID->1260543835], + CellID->1659149539], Cell[CellGroupData[{ Cell[5065, 161, 88, 3, 27, "Input", CellTags->"CA", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CF.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CF.nb index beabdabe5..54951f87f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CF.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CF.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11405, 405] -NotebookOptionsPosition[ 7594, 281] -NotebookOutlinePosition[ 10242, 359] -CellTagsIndexPosition[ 10138, 353] +NotebookDataLength[ 11340, 404] +NotebookOptionsPosition[ 7591, 281] +NotebookOutlinePosition[ 10180, 358] +CellTagsIndexPosition[ 10076, 352] WindowTitle->CF WindowFrame->Normal*) @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$35688], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$35793], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CF", ".html"]], None}]}]}, @@ -149,7 +149,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1884678991], + CellID->97612948], Cell[CellGroupData[{ @@ -159,7 +159,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2080959042], + CellID->388497252], Cell[CellGroupData[{ @@ -294,7 +294,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 10.624337}", + "built" -> "{2020, 6, 20, 19, 2, 46.725377}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -313,8 +313,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -324,36 +323,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4536, 136, 388, 15, 31, "PrimaryExamplesSection", + Cell[4536, 136, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1884678991]}, + CellID->97612948]}, "CF"->{ - Cell[5170, 165, 88, 3, 27, "Input", + Cell[5167, 165, 88, 3, 27, "Input", CellTags->"CF", CellID->606616156], - Cell[5261, 170, 205, 7, 37, "Output", + Cell[5258, 170, 205, 7, 37, "Output", CellTags->"CF"], - Cell[5503, 182, 196, 6, 27, "Input", + Cell[5500, 182, 196, 6, 27, "Input", CellTags->"CF", CellID->943993167], - Cell[5702, 190, 278, 10, 59, "Output", + Cell[5699, 190, 278, 10, 59, "Output", CellTags->"CF"], - Cell[6017, 205, 90, 3, 27, "Input", + Cell[6014, 205, 90, 3, 27, "Input", CellTags->"CF", CellID->721736691], - Cell[6110, 210, 183, 6, 35, "Output", + Cell[6107, 210, 183, 6, 35, "Output", CellTags->"CF"], - Cell[6330, 221, 252, 8, 27, "Input", + Cell[6327, 221, 252, 8, 27, "Input", CellTags->"CF", CellID->1669593560], - Cell[6585, 231, 262, 9, 37, "Output", + Cell[6582, 231, 262, 9, 37, "Output", CellTags->"CF"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9420, 325}, - {"CF", 9550, 329} + {"PrimaryExamplesSection", 9360, 324}, + {"CF", 9488, 328} } *) (*NotebookFileOutline @@ -364,49 +363,49 @@ Cell[3648, 98, 279, 11, 45, "ObjectNameGrid"], Cell[3930, 111, 581, 21, 87, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4536, 136, 388, 15, 31, "PrimaryExamplesSection", +Cell[4536, 136, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1884678991], + CellID->97612948], Cell[CellGroupData[{ -Cell[4949, 155, 196, 6, 26, "ExampleSection", - CellID->2080959042], +Cell[4947, 155, 195, 6, 26, "ExampleSection", + CellID->388497252], Cell[CellGroupData[{ -Cell[5170, 165, 88, 3, 27, "Input", +Cell[5167, 165, 88, 3, 27, "Input", CellTags->"CF", CellID->606616156], -Cell[5261, 170, 205, 7, 37, "Output", +Cell[5258, 170, 205, 7, 37, "Output", CellTags->"CF"] }, Open ]], Cell[CellGroupData[{ -Cell[5503, 182, 196, 6, 27, "Input", +Cell[5500, 182, 196, 6, 27, "Input", CellTags->"CF", CellID->943993167], -Cell[5702, 190, 278, 10, 59, "Output", +Cell[5699, 190, 278, 10, 59, "Output", CellTags->"CF"] }, Open ]], Cell[CellGroupData[{ -Cell[6017, 205, 90, 3, 27, "Input", +Cell[6014, 205, 90, 3, 27, "Input", CellTags->"CF", CellID->721736691], -Cell[6110, 210, 183, 6, 35, "Output", +Cell[6107, 210, 183, 6, 35, "Output", CellTags->"CF"] }, Open ]], Cell[CellGroupData[{ -Cell[6330, 221, 252, 8, 27, "Input", +Cell[6327, 221, 252, 8, 27, "Input", CellTags->"CF", CellID->1669593560], -Cell[6585, 231, 262, 9, 37, "Output", +Cell[6582, 231, 262, 9, 37, "Output", CellTags->"CF"] }, Open ]] }, Open ]], -Cell[6874, 244, 31, 0, 29, "SectionFooterSpacer"] +Cell[6871, 244, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6942, 249, 270, 12, 31, "SeeAlsoSection", +Cell[6939, 249, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7215, 263, 337, 13, 56, "SeeAlso"] +Cell[7212, 263, 337, 13, 56, "SeeAlso"] }, Open ]], -Cell[7567, 279, 23, 0, 41, "FooterCell"] +Cell[7564, 279, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CFAD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CFAD.nb index 7bdc708d9..1f782475e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CFAD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CFAD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19575, 682] +NotebookDataLength[ 19576, 682] NotebookOptionsPosition[ 14861, 540] -NotebookOutlinePosition[ 17515, 603] -CellTagsIndexPosition[ 17430, 598] +NotebookOutlinePosition[ 17516, 603] +CellTagsIndexPosition[ 17431, 598] WindowTitle->CFAD WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$35236], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$35341], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CFAD", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1721213889], + CellID->2080849903], Cell[CellGroupData[{ @@ -174,7 +174,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->413845007], + CellID->154343163], Cell[CellGroupData[{ @@ -540,8 +540,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CFAD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -553,7 +553,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 9.357245}", + "built" -> "{2020, 6, 20, 19, 2, 45.637415}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -592,12 +592,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5593, 151, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1721213889]} + CellID->2080849903]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17286, 591} + {"PrimaryExamplesSection", 17287, 591} } *) (*NotebookFileOutline @@ -605,15 +605,15 @@ Notebook[{ Cell[576, 21, 3237, 77, 53, "AnchorBarGrid", CellID->1], Cell[3816, 100, 281, 11, 45, "ObjectNameGrid"], -Cell[4100, 113, 1468, 34, 171, "Usage", +Cell[4100, 113, 1468, 34, 188, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[5593, 151, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1721213889], + CellID->2080849903], Cell[CellGroupData[{ Cell[6006, 170, 195, 6, 26, "ExampleSection", - CellID->413845007], + CellID->154343163], Cell[CellGroupData[{ Cell[6226, 180, 264, 9, 45, "Input", CellID->426610684], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGA.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGA.nb index 537ee346f..a23efa631 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGA.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGA.nb @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$37024], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$37129], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CGA", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1170779517], + CellID->2044012859], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->320231764], + CellID->773167226], Cell[CellGroupData[{ @@ -648,7 +648,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CGA", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -660,7 +660,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 14.177263}", + "built" -> "{2020, 6, 20, 19, 2, 49.859485}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -692,7 +692,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4508, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1170779517]}, + CellID->2044012859]}, "GA"->{ Cell[5141, 159, 116, 4, 27, "Input", CellTags->"GA", @@ -748,10 +748,10 @@ Cell[3920, 111, 563, 15, 103, "Usage", Cell[CellGroupData[{ Cell[4508, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1170779517], + CellID->2044012859], Cell[CellGroupData[{ Cell[4921, 149, 195, 6, 26, "ExampleSection", - CellID->320231764], + CellID->773167226], Cell[CellGroupData[{ Cell[5141, 159, 116, 4, 27, "Input", CellTags->"GA", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGAD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGAD.nb index 40fdb3652..f4ef88973 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGAD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGAD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 20856, 801] +NotebookDataLength[ 20800, 800] NotebookOptionsPosition[ 15856, 632] -NotebookOutlinePosition[ 19047, 728] -CellTagsIndexPosition[ 18941, 722] +NotebookOutlinePosition[ 18991, 727] +CellTagsIndexPosition[ 18885, 721] WindowTitle->CGAD WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$36132], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$36237], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CGAD", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1776411527], + CellID->1887655208], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1771258362], + CellID->1281914253], Cell[CellGroupData[{ @@ -633,7 +633,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CGAD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -645,7 +645,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 11.735237}", + "built" -> "{2020, 6, 20, 19, 2, 47.734232}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -666,8 +666,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -679,7 +678,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4518, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1776411527]}, + CellID->1887655208]}, "GA"->{ Cell[5152, 159, 117, 4, 27, "Input", CellTags->"GA", @@ -721,8 +720,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17790, 678}, - {"GA", 17920, 682} + {"PrimaryExamplesSection", 17734, 677}, + {"GA", 17864, 681} } *) (*NotebookFileOutline @@ -735,10 +734,10 @@ Cell[3928, 111, 565, 15, 103, "Usage", Cell[CellGroupData[{ Cell[4518, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1776411527], + CellID->1887655208], Cell[CellGroupData[{ Cell[4931, 149, 196, 6, 26, "ExampleSection", - CellID->1771258362], + CellID->1281914253], Cell[CellGroupData[{ Cell[5152, 159, 117, 4, 27, "Input", CellTags->"GA", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGAE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGAE.nb index fcd9d099c..c8a87cd8f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGAE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGAE.nb @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$36579], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$36684], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CGAE", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->112009639], + CellID->402587995], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->295644711], + CellID->916245103], Cell[CellGroupData[{ @@ -453,7 +453,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CGAE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -465,7 +465,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 13.006323}", + "built" -> "{2020, 6, 20, 19, 2, 48.844078}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -498,7 +498,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4527, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->112009639]}, + CellID->402587995]}, "GA"->{ Cell[5159, 159, 117, 4, 27, "Input", CellTags->"GA", @@ -548,10 +548,10 @@ Cell[3928, 111, 574, 15, 103, "Usage", Cell[CellGroupData[{ Cell[4527, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->112009639], + CellID->402587995], Cell[CellGroupData[{ Cell[4939, 149, 195, 6, 26, "ExampleSection", - CellID->295644711], + CellID->916245103], Cell[CellGroupData[{ Cell[5159, 159, 117, 4, 27, "Input", CellTags->"GA", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGS.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGS.nb index 05f945c83..a8b386886 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGS.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGS.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16139, 592] -NotebookOptionsPosition[ 11705, 444] -NotebookOutlinePosition[ 14678, 533] -CellTagsIndexPosition[ 14572, 527] +NotebookDataLength[ 16079, 591] +NotebookOptionsPosition[ 11704, 444] +NotebookOutlinePosition[ 14619, 532] +CellTagsIndexPosition[ 14513, 526] WindowTitle->CGS WindowFrame->Normal*) @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$38361], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$38466], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CGS", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1424978437], + CellID->435533890], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1205738916], + CellID->1668196974], Cell[CellGroupData[{ @@ -445,7 +445,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CGS", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -457,7 +457,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 17.789342}", + "built" -> "{2020, 6, 20, 19, 2, 53.135751}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -477,8 +477,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -488,46 +487,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4399, 127, 388, 15, 31, "PrimaryExamplesSection", + Cell[4399, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1424978437]}, + CellID->435533890]}, "GS"->{ - Cell[5033, 156, 117, 4, 27, "Input", + Cell[5032, 156, 117, 4, 27, "Input", CellTags->"GS", CellID->1176675883], - Cell[5153, 162, 546, 22, 37, "Output", + Cell[5152, 162, 546, 22, 37, "Output", CellTags->"GS", CellID->775616537], - Cell[5736, 189, 182, 7, 27, "Input", + Cell[5735, 189, 182, 7, 27, "Input", CellTags->"GS", CellID->1027241244], - Cell[5921, 198, 270, 8, 51, "Output", + Cell[5920, 198, 270, 8, 51, "Output", CellTags->"GS", CellID->255576843], - Cell[6228, 211, 160, 5, 27, "Input", + Cell[6227, 211, 160, 5, 27, "Input", CellTags->"GS", CellID->1339265647], - Cell[6391, 218, 2038, 80, 37, "Output", + Cell[6390, 218, 2038, 80, 37, "Output", CellTags->"GS", CellID->14098872], - Cell[8466, 303, 198, 7, 27, "Input", + Cell[8465, 303, 198, 7, 27, "Input", CellTags->"GS", CellID->837744205], - Cell[8667, 312, 352, 11, 51, "Output", + Cell[8666, 312, 352, 11, 51, "Output", CellTags->"GS", CellID->636787894], - Cell[9056, 328, 259, 9, 27, "Input", + Cell[9055, 328, 259, 9, 27, "Input", CellTags->"GS", CellID->2143558790], - Cell[9318, 339, 1623, 63, 37, "Output", + Cell[9317, 339, 1623, 63, 37, "Output", CellTags->"GS", CellID->133254836]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13594, 489}, - {"GS", 13724, 493} + {"PrimaryExamplesSection", 13536, 488}, + {"GS", 13665, 492} } *) (*NotebookFileOutline @@ -538,62 +537,62 @@ Cell[3637, 98, 280, 11, 45, "ObjectNameGrid"], Cell[3920, 111, 454, 12, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4399, 127, 388, 15, 31, "PrimaryExamplesSection", +Cell[4399, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1424978437], + CellID->435533890], Cell[CellGroupData[{ -Cell[4812, 146, 196, 6, 26, "ExampleSection", - CellID->1205738916], +Cell[4811, 146, 196, 6, 26, "ExampleSection", + CellID->1668196974], Cell[CellGroupData[{ -Cell[5033, 156, 117, 4, 27, "Input", +Cell[5032, 156, 117, 4, 27, "Input", CellTags->"GS", CellID->1176675883], -Cell[5153, 162, 546, 22, 37, "Output", +Cell[5152, 162, 546, 22, 37, "Output", CellTags->"GS", CellID->775616537] }, Open ]], Cell[CellGroupData[{ -Cell[5736, 189, 182, 7, 27, "Input", +Cell[5735, 189, 182, 7, 27, "Input", CellTags->"GS", CellID->1027241244], -Cell[5921, 198, 270, 8, 51, "Output", +Cell[5920, 198, 270, 8, 51, "Output", CellTags->"GS", CellID->255576843] }, Open ]], Cell[CellGroupData[{ -Cell[6228, 211, 160, 5, 27, "Input", +Cell[6227, 211, 160, 5, 27, "Input", CellTags->"GS", CellID->1339265647], -Cell[6391, 218, 2038, 80, 37, "Output", +Cell[6390, 218, 2038, 80, 37, "Output", CellTags->"GS", CellID->14098872] }, Open ]], Cell[CellGroupData[{ -Cell[8466, 303, 198, 7, 27, "Input", +Cell[8465, 303, 198, 7, 27, "Input", CellTags->"GS", CellID->837744205], -Cell[8667, 312, 352, 11, 51, "Output", +Cell[8666, 312, 352, 11, 51, "Output", CellTags->"GS", CellID->636787894] }, Open ]], Cell[CellGroupData[{ -Cell[9056, 328, 259, 9, 27, "Input", +Cell[9055, 328, 259, 9, 27, "Input", CellTags->"GS", CellID->2143558790], -Cell[9318, 339, 1623, 63, 37, "Output", +Cell[9317, 339, 1623, 63, 37, "Output", CellTags->"GS", CellID->133254836] }, Open ]] }, Open ]], -Cell[10968, 406, 31, 0, 29, "SectionFooterSpacer"] +Cell[10967, 406, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11036, 411, 270, 12, 31, "SeeAlsoSection", +Cell[11035, 411, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11309, 425, 354, 14, 70, "SeeAlso", +Cell[11308, 425, 354, 14, 70, "SeeAlso", CellID->119070656] }, Open ]], -Cell[11678, 442, 23, 0, 70, "FooterCell"] +Cell[11677, 442, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGSD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGSD.nb index c663c40c8..0066c4f76 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGSD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGSD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15777, 581] +NotebookDataLength[ 15721, 580] NotebookOptionsPosition[ 11323, 433] -NotebookOutlinePosition[ 14314, 522] -CellTagsIndexPosition[ 14208, 516] +NotebookOutlinePosition[ 14258, 521] +CellTagsIndexPosition[ 14152, 515] WindowTitle->CGSD WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$37471], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$37576], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CGSD", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->835218270], + CellID->1506126861], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1638821032], + CellID->604680258], Cell[CellGroupData[{ @@ -433,8 +433,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CGSD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -446,7 +446,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 15.364233}", + "built" -> "{2020, 6, 20, 19, 2, 50.954766}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -466,8 +466,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -477,9 +476,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4421, 128, 387, 15, 31, "PrimaryExamplesSection", + Cell[4421, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->835218270]}, + CellID->1506126861]}, "GS"->{ Cell[5054, 157, 118, 4, 27, "Input", CellTags->"GS", @@ -515,8 +514,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13228, 478}, - {"GS", 13357, 482} + {"PrimaryExamplesSection", 13171, 477}, + {"GS", 13301, 481} } *) (*NotebookFileOutline @@ -527,12 +526,12 @@ Cell[3644, 98, 281, 11, 45, "ObjectNameGrid"], Cell[3928, 111, 468, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4421, 128, 387, 15, 31, "PrimaryExamplesSection", +Cell[4421, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->835218270], + CellID->1506126861], Cell[CellGroupData[{ -Cell[4833, 147, 196, 6, 26, "ExampleSection", - CellID->1638821032], +Cell[4834, 147, 195, 6, 26, "ExampleSection", + CellID->604680258], Cell[CellGroupData[{ Cell[5054, 157, 118, 4, 27, "Input", CellTags->"GS", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGSE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGSE.nb index 0840c1114..fedc83469 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGSE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CGSE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16341, 599] +NotebookDataLength[ 16284, 598] NotebookOptionsPosition[ 11885, 451] -NotebookOutlinePosition[ 14878, 540] -CellTagsIndexPosition[ 14772, 534] +NotebookOutlinePosition[ 14821, 539] +CellTagsIndexPosition[ 14715, 533] WindowTitle->CGSE WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$37916], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$38021], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CGSE", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1573933885], + CellID->2111714481], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2095762105], + CellID->1017792752], Cell[CellGroupData[{ @@ -452,7 +452,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CGSE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -464,7 +464,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 16.579226}", + "built" -> "{2020, 6, 20, 19, 2, 52.058260}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -484,8 +484,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -497,7 +496,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4423, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1573933885]}, + CellID->2111714481]}, "GS"->{ Cell[5057, 157, 118, 4, 27, "Input", CellTags->"GS", @@ -533,8 +532,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13792, 496}, - {"GS", 13922, 500} + {"PrimaryExamplesSection", 13735, 495}, + {"GS", 13865, 499} } *) (*NotebookFileOutline @@ -547,10 +546,10 @@ Cell[3928, 111, 470, 13, 102, "Usage", Cell[CellGroupData[{ Cell[4423, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1573933885], + CellID->2111714481], Cell[CellGroupData[{ Cell[4836, 147, 196, 6, 26, "ExampleSection", - CellID->2095762105], + CellID->1017792752], Cell[CellGroupData[{ Cell[5057, 157, 118, 4, 27, "Input", CellTags->"GS", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CLC.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CLC.nb index 744b21153..ffbf49e61 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CLC.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CLC.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14434, 524] -NotebookOptionsPosition[ 10928, 417] -NotebookOutlinePosition[ 13142, 475] -CellTagsIndexPosition[ 13057, 470] +NotebookDataLength[ 14374, 523] +NotebookOptionsPosition[ 10927, 417] +NotebookOutlinePosition[ 13083, 474] +CellTagsIndexPosition[ 12998, 469] WindowTitle->CLC WindowFrame->Normal*) @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$41056], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$41161], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CLC", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1094429429], + CellID->776272825], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->828567318], + CellID->819786559], Cell[CellGroupData[{ @@ -418,7 +418,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CLC", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -430,7 +430,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 25.508466}", + "built" -> "{2020, 6, 20, 19, 2, 59.863549}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -451,8 +451,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -462,14 +461,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4518, 130, 388, 15, 31, "PrimaryExamplesSection", + Cell[4518, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1094429429]} + CellID->776272825]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12913, 463} + {"PrimaryExamplesSection", 12855, 462} } *) (*NotebookFileOutline @@ -480,52 +479,52 @@ Cell[3623, 98, 280, 11, 45, "ObjectNameGrid"], Cell[3906, 111, 587, 15, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4518, 130, 388, 15, 31, "PrimaryExamplesSection", +Cell[4518, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1094429429], + CellID->776272825], Cell[CellGroupData[{ -Cell[4931, 149, 195, 6, 26, "ExampleSection", - CellID->828567318], +Cell[4930, 149, 195, 6, 26, "ExampleSection", + CellID->819786559], Cell[CellGroupData[{ -Cell[5151, 159, 133, 4, 27, "Input", +Cell[5150, 159, 133, 4, 27, "Input", CellID->1757486067], -Cell[5287, 165, 699, 30, 39, "Output", +Cell[5286, 165, 699, 30, 39, "Output", CellID->208315074] }, Open ]], Cell[CellGroupData[{ -Cell[6023, 200, 171, 6, 45, "Input", +Cell[6022, 200, 171, 6, 45, "Input", CellID->1589908515], -Cell[6197, 208, 361, 10, 51, "Output", +Cell[6196, 208, 361, 10, 51, "Output", CellID->316674061] }, Open ]], Cell[CellGroupData[{ -Cell[6595, 223, 150, 5, 27, "Input", +Cell[6594, 223, 150, 5, 27, "Input", CellID->361636248], -Cell[6748, 230, 762, 32, 39, "Output", +Cell[6747, 230, 762, 32, 39, "Output", CellID->1081987388] }, Open ]], Cell[CellGroupData[{ -Cell[7547, 267, 130, 4, 27, "Input", +Cell[7546, 267, 130, 4, 27, "Input", CellID->404350264], -Cell[7680, 273, 368, 10, 51, "Output", +Cell[7679, 273, 368, 10, 51, "Output", CellID->1245969654] }, Open ]], Cell[CellGroupData[{ -Cell[8085, 288, 254, 8, 27, "Input", +Cell[8084, 288, 254, 8, 27, "Input", CellID->137597559], -Cell[8342, 298, 1843, 77, 39, "Output", +Cell[8341, 298, 1843, 77, 39, "Output", CellID->1501883334] }, Open ]] }, Open ]], -Cell[10212, 379, 31, 0, 70, "SectionFooterSpacer"] +Cell[10211, 379, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10280, 384, 270, 12, 70, "SeeAlsoSection", +Cell[10279, 384, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[10553, 398, 333, 14, 70, "SeeAlso", +Cell[10552, 398, 333, 14, 70, "SeeAlso", CellID->119070656] }, Open ]], -Cell[10901, 415, 23, 0, 70, "FooterCell"] +Cell[10900, 415, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CLCD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CLCD.nb index 2534b7672..0b98a604a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CLCD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CLCD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13799, 494] -NotebookOptionsPosition[ 10265, 387] -NotebookOutlinePosition[ 12508, 445] -CellTagsIndexPosition[ 12423, 440] +NotebookDataLength[ 13739, 493] +NotebookOptionsPosition[ 10264, 387] +NotebookOutlinePosition[ 12449, 444] +CellTagsIndexPosition[ 12364, 439] WindowTitle->CLCD WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$40611], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$40716], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CLCD", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1254837077], + CellID->886420304], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1862584315], + CellID->1737148093], Cell[CellGroupData[{ @@ -387,8 +387,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CLCD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -400,7 +400,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 24.301511}", + "built" -> "{2020, 6, 20, 19, 2, 58.747500}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -421,8 +421,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -432,14 +431,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4552, 130, 388, 15, 31, "PrimaryExamplesSection", + Cell[4552, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1254837077]} + CellID->886420304]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12279, 433} + {"PrimaryExamplesSection", 12221, 432} } *) (*NotebookFileOutline @@ -450,52 +449,52 @@ Cell[3630, 98, 281, 11, 45, "ObjectNameGrid"], Cell[3914, 111, 613, 15, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4552, 130, 388, 15, 31, "PrimaryExamplesSection", +Cell[4552, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1254837077], + CellID->886420304], Cell[CellGroupData[{ -Cell[4965, 149, 196, 6, 26, "ExampleSection", - CellID->1862584315], +Cell[4964, 149, 196, 6, 26, "ExampleSection", + CellID->1737148093], Cell[CellGroupData[{ -Cell[5186, 159, 134, 4, 27, "Input", +Cell[5185, 159, 134, 4, 27, "Input", CellID->1128293987], -Cell[5323, 165, 699, 30, 39, "Output", +Cell[5322, 165, 699, 30, 39, "Output", CellID->1338362699] }, Open ]], Cell[CellGroupData[{ -Cell[6059, 200, 131, 4, 27, "Input", +Cell[6058, 200, 131, 4, 27, "Input", CellID->2002117803], -Cell[6193, 206, 580, 19, 69, "Output", +Cell[6192, 206, 580, 19, 69, "Output", CellID->297611011] }, Open ]], Cell[CellGroupData[{ -Cell[6810, 230, 153, 5, 27, "Input", +Cell[6809, 230, 153, 5, 27, "Input", CellID->1171293590], -Cell[6966, 237, 698, 30, 38, "Output", +Cell[6965, 237, 698, 30, 38, "Output", CellID->315491501] }, Open ]], Cell[CellGroupData[{ -Cell[7701, 272, 131, 4, 27, "Input", +Cell[7700, 272, 131, 4, 27, "Input", CellID->1182317939], -Cell[7835, 278, 584, 19, 69, "Output", +Cell[7834, 278, 584, 19, 69, "Output", CellID->1130462414] }, Open ]], Cell[CellGroupData[{ -Cell[8456, 302, 334, 12, 27, "Input", +Cell[8455, 302, 334, 12, 27, "Input", CellID->260548459], -Cell[8793, 316, 726, 29, 37, "Output", +Cell[8792, 316, 726, 29, 37, "Output", CellID->235673394] }, Open ]] }, Open ]], -Cell[9546, 349, 31, 0, 70, "SectionFooterSpacer"] +Cell[9545, 349, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9614, 354, 270, 12, 70, "SeeAlsoSection", +Cell[9613, 354, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[9887, 368, 336, 14, 70, "SeeAlso", +Cell[9886, 368, 336, 14, 70, "SeeAlso", CellID->119070656] }, Open ]], -Cell[10238, 385, 23, 0, 70, "FooterCell"] +Cell[10237, 385, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSI.nb index cfbeac546..dfd45551b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSI.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15795, 587] -NotebookOptionsPosition[ 11372, 439] -NotebookOutlinePosition[ 14331, 528] -CellTagsIndexPosition[ 14225, 522] +NotebookDataLength[ 15793, 587] +NotebookOptionsPosition[ 11371, 439] +NotebookOutlinePosition[ 14330, 528] +CellTagsIndexPosition[ 14224, 522] WindowTitle->CSI WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$50503], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$50608], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSI", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1808755305], + CellID->1949543656], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1682874436], + CellID->104392159], Cell[CellGroupData[{ @@ -439,8 +439,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CSI", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -452,7 +452,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 51.128169}", + "built" -> "{2020, 6, 20, 19, 3, 22.308286}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -485,44 +485,44 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4439, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1808755305]}, + CellID->1949543656]}, "GA"->{ - Cell[5073, 158, 116, 4, 27, "Input", + Cell[5072, 158, 116, 4, 27, "Input", CellTags->"GA", CellID->192317475], - Cell[5192, 164, 506, 21, 38, "Output", + Cell[5191, 164, 506, 21, 38, "Output", CellTags->"GA", CellID->298525666], - Cell[5735, 190, 217, 8, 27, "Input", + Cell[5734, 190, 217, 8, 27, "Input", CellTags->"GA", CellID->950175955], - Cell[5955, 200, 1799, 74, 38, "Output", + Cell[5954, 200, 1799, 74, 38, "Output", CellTags->"GA", CellID->345041319], - Cell[7791, 279, 186, 6, 27, "Input", + Cell[7790, 279, 186, 6, 27, "Input", CellTags->"GA", CellID->872281918], - Cell[7980, 287, 268, 8, 51, "Output", + Cell[7979, 287, 268, 8, 51, "Output", CellTags->"GA", CellID->1902433105], - Cell[8285, 300, 160, 5, 27, "Input", + Cell[8284, 300, 160, 5, 27, "Input", CellTags->"GA", CellID->1064432869], - Cell[8448, 307, 1708, 72, 39, "Output", + Cell[8447, 307, 1708, 72, 39, "Output", CellTags->"GA", CellID->1347248762], - Cell[10193, 384, 200, 6, 27, "Input", + Cell[10192, 384, 200, 6, 27, "Input", CellTags->"GA", CellID->1945449635], - Cell[10396, 392, 353, 11, 51, "Output", + Cell[10395, 392, 353, 11, 51, "Output", CellTags->"GA", CellID->1708148611]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13243, 484}, - {"GA", 13373, 488} + {"PrimaryExamplesSection", 13242, 484}, + {"GA", 13372, 488} } *) (*NotebookFileOutline @@ -535,60 +535,60 @@ Cell[3846, 110, 568, 15, 103, "Usage", Cell[CellGroupData[{ Cell[4439, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1808755305], + CellID->1949543656], Cell[CellGroupData[{ -Cell[4852, 148, 196, 6, 26, "ExampleSection", - CellID->1682874436], +Cell[4852, 148, 195, 6, 26, "ExampleSection", + CellID->104392159], Cell[CellGroupData[{ -Cell[5073, 158, 116, 4, 27, "Input", +Cell[5072, 158, 116, 4, 27, "Input", CellTags->"GA", CellID->192317475], -Cell[5192, 164, 506, 21, 38, "Output", +Cell[5191, 164, 506, 21, 38, "Output", CellTags->"GA", CellID->298525666] }, Open ]], Cell[CellGroupData[{ -Cell[5735, 190, 217, 8, 27, "Input", +Cell[5734, 190, 217, 8, 27, "Input", CellTags->"GA", CellID->950175955], -Cell[5955, 200, 1799, 74, 38, "Output", +Cell[5954, 200, 1799, 74, 38, "Output", CellTags->"GA", CellID->345041319] }, Open ]], Cell[CellGroupData[{ -Cell[7791, 279, 186, 6, 27, "Input", +Cell[7790, 279, 186, 6, 27, "Input", CellTags->"GA", CellID->872281918], -Cell[7980, 287, 268, 8, 51, "Output", +Cell[7979, 287, 268, 8, 51, "Output", CellTags->"GA", CellID->1902433105] }, Open ]], Cell[CellGroupData[{ -Cell[8285, 300, 160, 5, 27, "Input", +Cell[8284, 300, 160, 5, 27, "Input", CellTags->"GA", CellID->1064432869], -Cell[8448, 307, 1708, 72, 39, "Output", +Cell[8447, 307, 1708, 72, 39, "Output", CellTags->"GA", CellID->1347248762] }, Open ]], Cell[CellGroupData[{ -Cell[10193, 384, 200, 6, 27, "Input", +Cell[10192, 384, 200, 6, 27, "Input", CellTags->"GA", CellID->1945449635], -Cell[10396, 392, 353, 11, 51, "Output", +Cell[10395, 392, 353, 11, 51, "Output", CellTags->"GA", CellID->1708148611] }, Open ]] }, Open ]], -Cell[10776, 407, 31, 0, 29, "SectionFooterSpacer"] +Cell[10775, 407, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10844, 412, 270, 12, 31, "SeeAlsoSection", +Cell[10843, 412, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11117, 426, 213, 8, 56, "SeeAlso", +Cell[11116, 426, 213, 8, 70, "SeeAlso", CellID->119070656] }, Open ]], -Cell[11345, 437, 23, 0, 41, "FooterCell"] +Cell[11344, 437, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSID.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSID.nb index f593bb5d5..3775f5866 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSID.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSID.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15757, 585] +NotebookDataLength[ 15699, 584] NotebookOptionsPosition[ 11259, 436] -NotebookOutlinePosition[ 14294, 526] -CellTagsIndexPosition[ 14188, 520] +NotebookOutlinePosition[ 14236, 525] +CellTagsIndexPosition[ 14130, 519] WindowTitle->CSID WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$49617], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$49722], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSID", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1963320274], + CellID->935580621], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->971740313], + CellID->1172683419], Cell[CellGroupData[{ @@ -449,7 +449,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 48.805687}", + "built" -> "{2020, 6, 20, 19, 3, 20.103666}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -470,8 +470,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -481,9 +480,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4458, 129, 388, 15, 31, "PrimaryExamplesSection", + Cell[4458, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1963320274]}, + CellID->935580621]}, "GA"->{ Cell[5091, 158, 117, 4, 27, "Input", CellTags->"GA", @@ -519,8 +518,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13206, 482}, - {"GA", 13336, 486} + {"PrimaryExamplesSection", 13149, 481}, + {"GA", 13278, 485} } *) (*NotebookFileOutline @@ -531,12 +530,12 @@ Cell[3568, 97, 281, 11, 45, "ObjectNameGrid"], Cell[3852, 110, 581, 15, 103, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4458, 129, 388, 15, 31, "PrimaryExamplesSection", +Cell[4458, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1963320274], + CellID->935580621], Cell[CellGroupData[{ -Cell[4871, 148, 195, 6, 26, "ExampleSection", - CellID->971740313], +Cell[4870, 148, 196, 6, 26, "ExampleSection", + CellID->1172683419], Cell[CellGroupData[{ Cell[5091, 158, 117, 4, 27, "Input", CellTags->"GA", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSIE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSIE.nb index d4481fb11..416db6ad8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSIE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSIE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16036, 594] -NotebookOptionsPosition[ 11540, 445] -NotebookOutlinePosition[ 14573, 535] -CellTagsIndexPosition[ 14467, 529] +NotebookDataLength[ 15983, 593] +NotebookOptionsPosition[ 11541, 445] +NotebookOutlinePosition[ 14519, 534] +CellTagsIndexPosition[ 14413, 528] WindowTitle->CSIE WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$50060], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$50165], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSIE", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1287863259], + CellID->1306816070], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->436570979], + CellID->1136366839], Cell[CellGroupData[{ @@ -446,7 +446,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CSIE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -458,7 +458,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 49.901202}", + "built" -> "{2020, 6, 20, 19, 3, 21.214203}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -479,8 +479,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -492,44 +491,44 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4458, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1287863259]}, + CellID->1306816070]}, "GA"->{ - Cell[5091, 158, 117, 4, 27, "Input", + Cell[5092, 158, 117, 4, 27, "Input", CellTags->"GA", CellID->192317475], - Cell[5211, 164, 507, 21, 38, "Output", + Cell[5212, 164, 507, 21, 38, "Output", CellTags->"GA", CellID->1813105389], - Cell[5755, 190, 219, 8, 27, "Input", + Cell[5756, 190, 219, 8, 27, "Input", CellTags->"GA", CellID->950175955], - Cell[5977, 200, 1799, 74, 38, "Output", + Cell[5978, 200, 1799, 74, 38, "Output", CellTags->"GA", CellID->539719871], - Cell[7813, 279, 187, 6, 27, "Input", + Cell[7814, 279, 187, 6, 27, "Input", CellTags->"GA", CellID->872281918], - Cell[8003, 287, 409, 14, 51, "Output", + Cell[8004, 287, 409, 14, 51, "Output", CellTags->"GA", CellID->1097057211], - Cell[8449, 306, 161, 5, 27, "Input", + Cell[8450, 306, 161, 5, 27, "Input", CellTags->"GA", CellID->1064432869], - Cell[8613, 313, 1707, 72, 39, "Output", + Cell[8614, 313, 1707, 72, 39, "Output", CellTags->"GA", CellID->714050867], - Cell[10357, 390, 201, 6, 27, "Input", + Cell[10358, 390, 201, 6, 27, "Input", CellTags->"GA", CellID->1945449635], - Cell[10561, 398, 356, 11, 51, "Output", + Cell[10562, 398, 356, 11, 51, "Output", CellTags->"GA", CellID->148881480]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13485, 491}, - {"GA", 13615, 495} + {"PrimaryExamplesSection", 13431, 490}, + {"GA", 13561, 494} } *) (*NotebookFileOutline @@ -542,60 +541,60 @@ Cell[3852, 110, 581, 15, 103, "Usage", Cell[CellGroupData[{ Cell[4458, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1287863259], + CellID->1306816070], Cell[CellGroupData[{ -Cell[4871, 148, 195, 6, 26, "ExampleSection", - CellID->436570979], +Cell[4871, 148, 196, 6, 26, "ExampleSection", + CellID->1136366839], Cell[CellGroupData[{ -Cell[5091, 158, 117, 4, 27, "Input", +Cell[5092, 158, 117, 4, 27, "Input", CellTags->"GA", CellID->192317475], -Cell[5211, 164, 507, 21, 38, "Output", +Cell[5212, 164, 507, 21, 38, "Output", CellTags->"GA", CellID->1813105389] }, Open ]], Cell[CellGroupData[{ -Cell[5755, 190, 219, 8, 27, "Input", +Cell[5756, 190, 219, 8, 27, "Input", CellTags->"GA", CellID->950175955], -Cell[5977, 200, 1799, 74, 38, "Output", +Cell[5978, 200, 1799, 74, 38, "Output", CellTags->"GA", CellID->539719871] }, Open ]], Cell[CellGroupData[{ -Cell[7813, 279, 187, 6, 27, "Input", +Cell[7814, 279, 187, 6, 27, "Input", CellTags->"GA", CellID->872281918], -Cell[8003, 287, 409, 14, 51, "Output", +Cell[8004, 287, 409, 14, 51, "Output", CellTags->"GA", CellID->1097057211] }, Open ]], Cell[CellGroupData[{ -Cell[8449, 306, 161, 5, 27, "Input", +Cell[8450, 306, 161, 5, 27, "Input", CellTags->"GA", CellID->1064432869], -Cell[8613, 313, 1707, 72, 39, "Output", +Cell[8614, 313, 1707, 72, 39, "Output", CellTags->"GA", CellID->714050867] }, Open ]], Cell[CellGroupData[{ -Cell[10357, 390, 201, 6, 27, "Input", +Cell[10358, 390, 201, 6, 27, "Input", CellTags->"GA", CellID->1945449635], -Cell[10561, 398, 356, 11, 51, "Output", +Cell[10562, 398, 356, 11, 51, "Output", CellTags->"GA", CellID->148881480] }, Open ]] }, Open ]], -Cell[10944, 413, 31, 0, 29, "SectionFooterSpacer"] +Cell[10945, 413, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11012, 418, 270, 12, 31, "SeeAlsoSection", +Cell[11013, 418, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11285, 432, 213, 8, 70, "SeeAlso", +Cell[11286, 432, 213, 8, 70, "SeeAlso", CellID->119070656] }, Open ]], -Cell[11513, 443, 23, 0, 70, "FooterCell"] +Cell[11514, 443, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSIS.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSIS.nb index 0d67eb41e..76b246909 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSIS.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSIS.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13884, 498] -NotebookOptionsPosition[ 9753, 363] -NotebookOutlinePosition[ 12614, 447] -CellTagsIndexPosition[ 12508, 441] +NotebookDataLength[ 13831, 497] +NotebookOptionsPosition[ 9754, 363] +NotebookOutlinePosition[ 12560, 446] +CellTagsIndexPosition[ 12454, 440] WindowTitle->CSIS WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$51830], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$51935], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSIS", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->795695155], + CellID->2055158648], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1391789614], + CellID->1532876627], Cell[CellGroupData[{ @@ -376,7 +376,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 54.741379}", + "built" -> "{2020, 6, 20, 19, 3, 25.515099}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -397,8 +397,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -408,40 +407,40 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4501, 131, 387, 15, 31, "PrimaryExamplesSection", + Cell[4501, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->795695155]}, + CellID->2055158648]}, "GS"->{ - Cell[5134, 160, 118, 4, 27, "Input", + Cell[5135, 160, 118, 4, 27, "Input", CellTags->"GS", CellID->1176675883], - Cell[5255, 166, 546, 22, 37, "Output", + Cell[5256, 166, 546, 22, 37, "Output", CellTags->"GS", CellID->549775037], - Cell[5838, 193, 183, 7, 27, "Input", + Cell[5839, 193, 183, 7, 27, "Input", CellTags->"GS", CellID->1027241244], - Cell[6024, 202, 270, 8, 51, "Output", + Cell[6025, 202, 270, 8, 51, "Output", CellTags->"GS", CellID->310280825], - Cell[6331, 215, 161, 5, 27, "Input", + Cell[6332, 215, 161, 5, 27, "Input", CellTags->"GS", CellID->1339265647], - Cell[6495, 222, 2040, 80, 37, "Output", + Cell[6496, 222, 2040, 80, 37, "Output", CellTags->"GS", CellID->1625280260], - Cell[8572, 307, 199, 7, 27, "Input", + Cell[8573, 307, 199, 7, 27, "Input", CellTags->"GS", CellID->837744205], - Cell[8774, 316, 356, 11, 51, "Output", + Cell[8775, 316, 356, 11, 51, "Output", CellTags->"GS", CellID->781933207]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11695, 409}, - {"GS", 11824, 413} + {"PrimaryExamplesSection", 11640, 408}, + {"GS", 11770, 412} } *) (*NotebookFileOutline @@ -452,54 +451,54 @@ Cell[3568, 97, 281, 11, 45, "ObjectNameGrid"], Cell[3852, 110, 624, 17, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4501, 131, 387, 15, 31, "PrimaryExamplesSection", +Cell[4501, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->795695155], + CellID->2055158648], Cell[CellGroupData[{ -Cell[4913, 150, 196, 6, 26, "ExampleSection", - CellID->1391789614], +Cell[4914, 150, 196, 6, 26, "ExampleSection", + CellID->1532876627], Cell[CellGroupData[{ -Cell[5134, 160, 118, 4, 27, "Input", +Cell[5135, 160, 118, 4, 27, "Input", CellTags->"GS", CellID->1176675883], -Cell[5255, 166, 546, 22, 37, "Output", +Cell[5256, 166, 546, 22, 37, "Output", CellTags->"GS", CellID->549775037] }, Open ]], Cell[CellGroupData[{ -Cell[5838, 193, 183, 7, 27, "Input", +Cell[5839, 193, 183, 7, 27, "Input", CellTags->"GS", CellID->1027241244], -Cell[6024, 202, 270, 8, 51, "Output", +Cell[6025, 202, 270, 8, 51, "Output", CellTags->"GS", CellID->310280825] }, Open ]], Cell[CellGroupData[{ -Cell[6331, 215, 161, 5, 27, "Input", +Cell[6332, 215, 161, 5, 27, "Input", CellTags->"GS", CellID->1339265647], -Cell[6495, 222, 2040, 80, 37, "Output", +Cell[6496, 222, 2040, 80, 37, "Output", CellTags->"GS", CellID->1625280260] }, Open ]], Cell[CellGroupData[{ -Cell[8572, 307, 199, 7, 27, "Input", +Cell[8573, 307, 199, 7, 27, "Input", CellTags->"GS", CellID->837744205], -Cell[8774, 316, 356, 11, 51, "Output", +Cell[8775, 316, 356, 11, 51, "Output", CellTags->"GS", CellID->781933207] }, Open ]] }, Open ]], -Cell[9157, 331, 31, 0, 29, "SectionFooterSpacer"] +Cell[9158, 331, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9225, 336, 270, 12, 31, "SeeAlsoSection", +Cell[9226, 336, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9498, 350, 213, 8, 56, "SeeAlso", +Cell[9499, 350, 213, 8, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[9726, 361, 23, 0, 70, "FooterCell"] +Cell[9727, 361, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSISD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSISD.nb index 6ec4adf78..082fa53be 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSISD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSISD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13758, 494] -NotebookOptionsPosition[ 9605, 359] -NotebookOutlinePosition[ 12485, 443] -CellTagsIndexPosition[ 12379, 437] +NotebookDataLength[ 13701, 493] +NotebookOptionsPosition[ 9604, 359] +NotebookOutlinePosition[ 12429, 442] +CellTagsIndexPosition[ 12323, 436] WindowTitle->CSISD WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$50946], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$51051], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSISD", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->115560600], + CellID->857866384], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1067147800], + CellID->352571013], Cell[CellGroupData[{ @@ -360,7 +360,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CSISD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -372,7 +372,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 52.370777}", + "built" -> "{2020, 6, 20, 19, 3, 23.410886}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -393,8 +393,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -406,38 +405,38 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4521, 131, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->115560600]}, + CellID->857866384]}, "GS"->{ - Cell[5154, 160, 119, 4, 27, "Input", + Cell[5153, 160, 119, 4, 27, "Input", CellTags->"GS", CellID->1176675883], - Cell[5276, 166, 488, 20, 37, "Output", + Cell[5275, 166, 488, 20, 37, "Output", CellTags->"GS", CellID->1910177905], - Cell[5801, 191, 184, 7, 27, "Input", + Cell[5800, 191, 184, 7, 27, "Input", CellTags->"GS", CellID->1027241244], - Cell[5988, 200, 411, 14, 51, "Output", + Cell[5987, 200, 411, 14, 51, "Output", CellTags->"GS", CellID->839082628], - Cell[6436, 219, 162, 5, 27, "Input", + Cell[6435, 219, 162, 5, 27, "Input", CellTags->"GS", CellID->1339265647], - Cell[6601, 226, 1780, 72, 37, "Output", + Cell[6600, 226, 1780, 72, 37, "Output", CellTags->"GS", CellID->2078178866], - Cell[8418, 303, 200, 7, 27, "Input", + Cell[8417, 303, 200, 7, 27, "Input", CellTags->"GS", CellID->837744205], - Cell[8621, 312, 361, 11, 51, "Output", + Cell[8620, 312, 361, 11, 51, "Output", CellTags->"GS", CellID->2005860779]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11563, 405}, - {"GS", 11692, 409} + {"PrimaryExamplesSection", 11507, 404}, + {"GS", 11636, 408} } *) (*NotebookFileOutline @@ -450,52 +449,52 @@ Cell[3858, 110, 638, 17, 103, "Usage", Cell[CellGroupData[{ Cell[4521, 131, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->115560600], + CellID->857866384], Cell[CellGroupData[{ -Cell[4933, 150, 196, 6, 26, "ExampleSection", - CellID->1067147800], +Cell[4933, 150, 195, 6, 26, "ExampleSection", + CellID->352571013], Cell[CellGroupData[{ -Cell[5154, 160, 119, 4, 27, "Input", +Cell[5153, 160, 119, 4, 27, "Input", CellTags->"GS", CellID->1176675883], -Cell[5276, 166, 488, 20, 37, "Output", +Cell[5275, 166, 488, 20, 37, "Output", CellTags->"GS", CellID->1910177905] }, Open ]], Cell[CellGroupData[{ -Cell[5801, 191, 184, 7, 27, "Input", +Cell[5800, 191, 184, 7, 27, "Input", CellTags->"GS", CellID->1027241244], -Cell[5988, 200, 411, 14, 51, "Output", +Cell[5987, 200, 411, 14, 51, "Output", CellTags->"GS", CellID->839082628] }, Open ]], Cell[CellGroupData[{ -Cell[6436, 219, 162, 5, 27, "Input", +Cell[6435, 219, 162, 5, 27, "Input", CellTags->"GS", CellID->1339265647], -Cell[6601, 226, 1780, 72, 37, "Output", +Cell[6600, 226, 1780, 72, 37, "Output", CellTags->"GS", CellID->2078178866] }, Open ]], Cell[CellGroupData[{ -Cell[8418, 303, 200, 7, 27, "Input", +Cell[8417, 303, 200, 7, 27, "Input", CellTags->"GS", CellID->837744205], -Cell[8621, 312, 361, 11, 51, "Output", +Cell[8620, 312, 361, 11, 51, "Output", CellTags->"GS", CellID->2005860779] }, Open ]] }, Open ]], -Cell[9009, 327, 31, 0, 29, "SectionFooterSpacer"] +Cell[9008, 327, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9077, 332, 270, 12, 31, "SeeAlsoSection", +Cell[9076, 332, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9350, 346, 213, 8, 56, "SeeAlso", +Cell[9349, 346, 213, 8, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[9578, 357, 23, 0, 70, "FooterCell"] +Cell[9577, 357, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSISE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSISE.nb index 7b53e0e38..5a6bd2360 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSISE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSISE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14080, 504] +NotebookDataLength[ 14023, 503] NotebookOptionsPosition[ 9924, 369] -NotebookOutlinePosition[ 12807, 453] -CellTagsIndexPosition[ 12701, 447] +NotebookOutlinePosition[ 12750, 452] +CellTagsIndexPosition[ 12644, 446] WindowTitle->CSISE WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$51388], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$51493], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSISE", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1925471391], + CellID->1570291647], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->541924597], + CellID->239668842], Cell[CellGroupData[{ @@ -370,7 +370,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CSISE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -382,7 +382,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 53.503363}", + "built" -> "{2020, 6, 20, 19, 3, 24.413111}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -403,8 +403,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -416,7 +415,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4521, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1925471391]}, + CellID->1570291647]}, "GS"->{ Cell[5154, 160, 119, 4, 27, "Input", CellTags->"GS", @@ -446,8 +445,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11884, 415}, - {"GS", 12014, 419} + {"PrimaryExamplesSection", 11827, 414}, + {"GS", 11957, 418} } *) (*NotebookFileOutline @@ -460,10 +459,10 @@ Cell[3858, 110, 638, 17, 103, "Usage", Cell[CellGroupData[{ Cell[4521, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1925471391], + CellID->1570291647], Cell[CellGroupData[{ Cell[4934, 150, 195, 6, 26, "ExampleSection", - CellID->541924597], + CellID->239668842], Cell[CellGroupData[{ Cell[5154, 160, 119, 4, 27, "Input", CellTags->"GS", @@ -505,7 +504,7 @@ Cell[9396, 342, 270, 12, 31, "SeeAlsoSection", Cell[9669, 356, 213, 8, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[9897, 367, 23, 0, 70, "FooterCell"] +Cell[9897, 367, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSP.nb index dd40cbe06..a36f5020c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSP.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18643, 700] -NotebookOptionsPosition[ 13420, 523] -NotebookOutlinePosition[ 16801, 625] -CellTagsIndexPosition[ 16695, 619] +NotebookDataLength[ 18585, 699] +NotebookOptionsPosition[ 13421, 523] +NotebookOutlinePosition[ 16742, 624] +CellTagsIndexPosition[ 16636, 618] WindowTitle->CSP WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$53174], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$53279], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSP", ".html"]], None}]}]}, @@ -148,7 +148,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1594008258], + CellID->1172721431], Cell[CellGroupData[{ @@ -158,7 +158,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->677102301], + CellID->2071604512], Cell[CellGroupData[{ @@ -524,7 +524,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"CSP", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -536,7 +536,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 58.645468}", + "built" -> "{2020, 6, 20, 19, 3, 28.730143}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -557,8 +557,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -570,56 +569,56 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4720, 135, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1594008258]}, + CellID->1172721431]}, "SP"->{ - Cell[5353, 164, 204, 7, 27, "Input", + Cell[5354, 164, 204, 7, 27, "Input", CellTags->"SP", CellID->1327327216], - Cell[5560, 173, 952, 40, 39, "Output", + Cell[5561, 173, 952, 40, 39, "Output", CellTags->"SP", CellID->1848840574], - Cell[6549, 218, 207, 8, 27, "Input", + Cell[6550, 218, 207, 8, 27, "Input", CellTags->"SP", CellID->903181536], - Cell[6759, 228, 1273, 53, 37, "Output", + Cell[6760, 228, 1273, 53, 37, "Output", CellTags->"SP", CellID->328532068], - Cell[8069, 286, 253, 9, 27, "Input", + Cell[8070, 286, 253, 9, 27, "Input", CellTags->"SP", CellID->1760867040], - Cell[8325, 297, 1138, 47, 39, "Output", + Cell[8326, 297, 1138, 47, 39, "Output", CellTags->"SP", CellID->1003652030], - Cell[9500, 349, 187, 6, 27, "Input", + Cell[9501, 349, 187, 6, 27, "Input", CellTags->"SP", CellID->1518821322], - Cell[9690, 357, 1193, 48, 39, "Output", + Cell[9691, 357, 1193, 48, 39, "Output", CellTags->"SP", CellID->353053941], - Cell[10920, 410, 176, 6, 27, "Input", + Cell[10921, 410, 176, 6, 27, "Input", CellTags->"SP", CellID->1767436480], - Cell[11099, 418, 242, 8, 51, "Output", + Cell[11100, 418, 242, 8, 51, "Output", CellTags->"SP", CellID->2133672679], - Cell[11378, 431, 206, 8, 27, "Input", + Cell[11379, 431, 206, 8, 27, "Input", CellTags->"SP", CellID->736982087], - Cell[11587, 441, 342, 10, 51, "Output", + Cell[11588, 441, 342, 10, 51, "Output", CellTags->"SP", CellID->765609064], - Cell[11966, 456, 235, 9, 27, "Input", + Cell[11967, 456, 235, 9, 70, "Input", CellTags->"SP", CellID->355867518], - Cell[12204, 467, 242, 8, 51, "Output", + Cell[12205, 467, 242, 8, 51, "Output", CellTags->"SP", CellID->1556911516]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15378, 569}, - {"SP", 15508, 573} + {"PrimaryExamplesSection", 15319, 568}, + {"SP", 15449, 572} } *) (*NotebookFileOutline @@ -632,76 +631,76 @@ Cell[4048, 113, 647, 18, 119, "Usage", Cell[CellGroupData[{ Cell[4720, 135, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1594008258], + CellID->1172721431], Cell[CellGroupData[{ -Cell[5133, 154, 195, 6, 26, "ExampleSection", - CellID->677102301], +Cell[5133, 154, 196, 6, 26, "ExampleSection", + CellID->2071604512], Cell[CellGroupData[{ -Cell[5353, 164, 204, 7, 27, "Input", +Cell[5354, 164, 204, 7, 27, "Input", CellTags->"SP", CellID->1327327216], -Cell[5560, 173, 952, 40, 39, "Output", +Cell[5561, 173, 952, 40, 39, "Output", CellTags->"SP", CellID->1848840574] }, Open ]], Cell[CellGroupData[{ -Cell[6549, 218, 207, 8, 27, "Input", +Cell[6550, 218, 207, 8, 27, "Input", CellTags->"SP", CellID->903181536], -Cell[6759, 228, 1273, 53, 37, "Output", +Cell[6760, 228, 1273, 53, 37, "Output", CellTags->"SP", CellID->328532068] }, Open ]], Cell[CellGroupData[{ -Cell[8069, 286, 253, 9, 27, "Input", +Cell[8070, 286, 253, 9, 27, "Input", CellTags->"SP", CellID->1760867040], -Cell[8325, 297, 1138, 47, 39, "Output", +Cell[8326, 297, 1138, 47, 39, "Output", CellTags->"SP", CellID->1003652030] }, Open ]], Cell[CellGroupData[{ -Cell[9500, 349, 187, 6, 27, "Input", +Cell[9501, 349, 187, 6, 27, "Input", CellTags->"SP", CellID->1518821322], -Cell[9690, 357, 1193, 48, 39, "Output", +Cell[9691, 357, 1193, 48, 39, "Output", CellTags->"SP", CellID->353053941] }, Open ]], Cell[CellGroupData[{ -Cell[10920, 410, 176, 6, 27, "Input", +Cell[10921, 410, 176, 6, 27, "Input", CellTags->"SP", CellID->1767436480], -Cell[11099, 418, 242, 8, 51, "Output", +Cell[11100, 418, 242, 8, 51, "Output", CellTags->"SP", CellID->2133672679] }, Open ]], Cell[CellGroupData[{ -Cell[11378, 431, 206, 8, 27, "Input", +Cell[11379, 431, 206, 8, 27, "Input", CellTags->"SP", CellID->736982087], -Cell[11587, 441, 342, 10, 51, "Output", +Cell[11588, 441, 342, 10, 51, "Output", CellTags->"SP", CellID->765609064] }, Open ]], Cell[CellGroupData[{ -Cell[11966, 456, 235, 9, 27, "Input", +Cell[11967, 456, 235, 9, 70, "Input", CellTags->"SP", CellID->355867518], -Cell[12204, 467, 242, 8, 51, "Output", +Cell[12205, 467, 242, 8, 51, "Output", CellTags->"SP", CellID->1556911516] }, Open ]] }, Open ]], -Cell[12473, 479, 31, 0, 29, "SectionFooterSpacer"] +Cell[12474, 479, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12541, 484, 270, 12, 31, "SeeAlsoSection", +Cell[12542, 484, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[12814, 498, 564, 20, 56, "SeeAlso", +Cell[12815, 498, 564, 20, 70, "SeeAlso", CellID->119070656] }, Open ]], -Cell[13393, 521, 23, 0, 41, "FooterCell"] +Cell[13394, 521, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSPD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSPD.nb index 183198eda..d8fa1c537 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSPD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSPD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19332, 731] +NotebookDataLength[ 19275, 730] NotebookOptionsPosition[ 13705, 540] -NotebookOutlinePosition[ 17289, 648] -CellTagsIndexPosition[ 17182, 642] +NotebookOutlinePosition[ 17232, 647] +CellTagsIndexPosition[ 17125, 641] WindowTitle->CSPD WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$52274], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$52379], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSPD", ".html"]], None}]}]}, @@ -149,7 +149,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1691364808], + CellID->1820194386], Cell[CellGroupData[{ @@ -159,7 +159,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->249504263], + CellID->704091382], Cell[CellGroupData[{ @@ -541,7 +541,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CSPD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -553,7 +553,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 56.066281}", + "built" -> "{2020, 6, 20, 19, 3, 26.524762}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -574,8 +574,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -587,7 +586,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4745, 136, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1691364808]}, + CellID->1820194386]}, "SPD"->{ Cell[5378, 165, 207, 7, 27, "Input", CellTags->"SPD", @@ -641,8 +640,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15684, 586}, - {"SPD", 15815, 590} + {"PrimaryExamplesSection", 15627, 585}, + {"SPD", 15758, 589} } *) (*NotebookFileOutline @@ -655,10 +654,10 @@ Cell[4056, 113, 664, 19, 119, "Usage", Cell[CellGroupData[{ Cell[4745, 136, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1691364808], + CellID->1820194386], Cell[CellGroupData[{ Cell[5158, 155, 195, 6, 26, "ExampleSection", - CellID->249504263], + CellID->704091382], Cell[CellGroupData[{ Cell[5378, 165, 207, 7, 27, "Input", CellTags->"SPD", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSPE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSPE.nb index 252ed28f9..7257b371f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSPE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CSPE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19846, 747] -NotebookOptionsPosition[ 14215, 556] -NotebookOutlinePosition[ 17801, 664] -CellTagsIndexPosition[ 17694, 658] +NotebookDataLength[ 19795, 746] +NotebookOptionsPosition[ 14217, 556] +NotebookOutlinePosition[ 17748, 663] +CellTagsIndexPosition[ 17641, 657] WindowTitle->CSPE WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$52724], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$52829], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CSPE", ".html"]], None}]}]}, @@ -149,7 +149,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->249536683], + CellID->2023747722], Cell[CellGroupData[{ @@ -159,7 +159,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->244679970], + CellID->1062240178], Cell[CellGroupData[{ @@ -451,7 +451,7 @@ Cell[BoxData[ RowBox[{"b", ",", RowBox[{ RowBox[{"-", "4"}], "+", "D"}]}], "]"}]}], "]"}]], "Output", - ImageSize->{577, 15}, + ImageSize->{345, 33}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"SPE", @@ -557,7 +557,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CSPE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -569,7 +569,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 57.348612}", + "built" -> "{2020, 6, 20, 19, 3, 27.631780}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -590,8 +590,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -601,64 +600,64 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4746, 136, 387, 15, 31, "PrimaryExamplesSection", + Cell[4746, 136, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->249536683]}, + CellID->2023747722]}, "SPE"->{ - Cell[5378, 165, 207, 7, 27, "Input", + Cell[5380, 165, 207, 7, 27, "Input", CellTags->"SPE", CellID->1779475118], - Cell[5588, 174, 953, 40, 39, "Output", + Cell[5590, 174, 953, 40, 39, "Output", CellTags->"SPE", CellID->1516094616], - Cell[6578, 219, 209, 8, 27, "Input", + Cell[6580, 219, 209, 8, 27, "Input", CellTags->"SPE", CellID->437622958], - Cell[6790, 229, 1275, 53, 37, "Output", + Cell[6792, 229, 1275, 53, 37, "Output", CellTags->"SPE", CellID->1038841311], - Cell[8102, 287, 255, 9, 27, "Input", + Cell[8104, 287, 255, 9, 27, "Input", CellTags->"SPE", CellID->1031117972], - Cell[8360, 298, 1139, 47, 39, "Output", + Cell[8362, 298, 1139, 47, 39, "Output", CellTags->"SPE", CellID->1270490467], - Cell[9536, 350, 187, 6, 27, "Input", + Cell[9538, 350, 187, 6, 27, "Input", CellTags->"SPE", CellID->87993462], - Cell[9726, 358, 1195, 48, 42, "Output", + Cell[9728, 358, 1195, 48, 42, "Output", CellTags->"SPE", CellID->2053769726], - Cell[10958, 411, 178, 6, 27, "Input", + Cell[10960, 411, 178, 6, 27, "Input", CellTags->"SPE", CellID->2034315321], - Cell[11139, 419, 242, 8, 51, "Output", + Cell[11141, 419, 242, 8, 51, "Output", CellTags->"SPE", CellID->49409289], - Cell[11418, 432, 209, 8, 27, "Input", + Cell[11420, 432, 209, 8, 27, "Input", CellTags->"SPE", CellID->1917897688], - Cell[11630, 442, 490, 16, 51, "Output", + Cell[11632, 442, 490, 16, 69, "Output", CellTags->"SPE", CellID->1531168216], - Cell[12157, 463, 237, 9, 27, "Input", + Cell[12159, 463, 237, 9, 27, "Input", CellTags->"SPE", CellID->980827421], - Cell[12397, 474, 243, 8, 51, "Output", + Cell[12399, 474, 243, 8, 51, "Output", CellTags->"SPE", CellID->919943670], - Cell[12677, 487, 314, 11, 27, "Input", + Cell[12679, 487, 314, 11, 27, "Input", CellTags->"SPE", CellID->1873446419], - Cell[12994, 500, 244, 8, 51, "Output", + Cell[12996, 500, 244, 8, 51, "Output", CellTags->"SPE", CellID->1753753047]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16194, 602}, - {"SPE", 16324, 606} + {"PrimaryExamplesSection", 16140, 601}, + {"SPE", 16271, 605} } *) (*NotebookFileOutline @@ -669,86 +668,86 @@ Cell[3772, 100, 281, 11, 45, "ObjectNameGrid"], Cell[4056, 113, 665, 19, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4746, 136, 387, 15, 31, "PrimaryExamplesSection", +Cell[4746, 136, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->249536683], + CellID->2023747722], Cell[CellGroupData[{ -Cell[5158, 155, 195, 6, 26, "ExampleSection", - CellID->244679970], +Cell[5159, 155, 196, 6, 26, "ExampleSection", + CellID->1062240178], Cell[CellGroupData[{ -Cell[5378, 165, 207, 7, 27, "Input", +Cell[5380, 165, 207, 7, 27, "Input", CellTags->"SPE", CellID->1779475118], -Cell[5588, 174, 953, 40, 39, "Output", +Cell[5590, 174, 953, 40, 39, "Output", CellTags->"SPE", CellID->1516094616] }, Open ]], Cell[CellGroupData[{ -Cell[6578, 219, 209, 8, 27, "Input", +Cell[6580, 219, 209, 8, 27, "Input", CellTags->"SPE", CellID->437622958], -Cell[6790, 229, 1275, 53, 37, "Output", +Cell[6792, 229, 1275, 53, 37, "Output", CellTags->"SPE", CellID->1038841311] }, Open ]], Cell[CellGroupData[{ -Cell[8102, 287, 255, 9, 27, "Input", +Cell[8104, 287, 255, 9, 27, "Input", CellTags->"SPE", CellID->1031117972], -Cell[8360, 298, 1139, 47, 39, "Output", +Cell[8362, 298, 1139, 47, 39, "Output", CellTags->"SPE", CellID->1270490467] }, Open ]], Cell[CellGroupData[{ -Cell[9536, 350, 187, 6, 27, "Input", +Cell[9538, 350, 187, 6, 27, "Input", CellTags->"SPE", CellID->87993462], -Cell[9726, 358, 1195, 48, 42, "Output", +Cell[9728, 358, 1195, 48, 42, "Output", CellTags->"SPE", CellID->2053769726] }, Open ]], Cell[CellGroupData[{ -Cell[10958, 411, 178, 6, 27, "Input", +Cell[10960, 411, 178, 6, 27, "Input", CellTags->"SPE", CellID->2034315321], -Cell[11139, 419, 242, 8, 51, "Output", +Cell[11141, 419, 242, 8, 51, "Output", CellTags->"SPE", CellID->49409289] }, Open ]], Cell[CellGroupData[{ -Cell[11418, 432, 209, 8, 27, "Input", +Cell[11420, 432, 209, 8, 27, "Input", CellTags->"SPE", CellID->1917897688], -Cell[11630, 442, 490, 16, 51, "Output", +Cell[11632, 442, 490, 16, 69, "Output", CellTags->"SPE", CellID->1531168216] }, Open ]], Cell[CellGroupData[{ -Cell[12157, 463, 237, 9, 27, "Input", +Cell[12159, 463, 237, 9, 27, "Input", CellTags->"SPE", CellID->980827421], -Cell[12397, 474, 243, 8, 51, "Output", +Cell[12399, 474, 243, 8, 51, "Output", CellTags->"SPE", CellID->919943670] }, Open ]], Cell[CellGroupData[{ -Cell[12677, 487, 314, 11, 27, "Input", +Cell[12679, 487, 314, 11, 27, "Input", CellTags->"SPE", CellID->1873446419], -Cell[12994, 500, 244, 8, 51, "Output", +Cell[12996, 500, 244, 8, 51, "Output", CellTags->"SPE", CellID->1753753047] }, Open ]] }, Open ]], -Cell[13265, 512, 31, 0, 29, "SectionFooterSpacer"] +Cell[13267, 512, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[13333, 517, 270, 12, 31, "SeeAlsoSection", +Cell[13335, 517, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13606, 531, 567, 20, 56, "SeeAlso", +Cell[13608, 531, 567, 20, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[14188, 554, 23, 0, 41, "FooterCell"] +Cell[14190, 554, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CTdec.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CTdec.nb index b46ab3ec1..26d13d5b1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CTdec.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CTdec.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 38531, 1036] -NotebookOptionsPosition[ 34535, 912] -NotebookOutlinePosition[ 36849, 974] -CellTagsIndexPosition[ 36729, 968] +NotebookDataLength[ 38570, 1036] +NotebookOptionsPosition[ 34575, 912] +NotebookOutlinePosition[ 36888, 974] +CellTagsIndexPosition[ 36768, 968] WindowTitle->CTdec WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$53615], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$53720], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CTdec", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->702361445], + CellID->296209834], Cell["", "SectionHeaderSpacer"], @@ -188,7 +188,7 @@ Cell[BoxData[ RowBox[{"UseParallelization", "\[Rule]", "True"}], ",", RowBox[{"UseTIDL", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{470, 53}, + ImageSize->{470, 54}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[214]=", @@ -214,7 +214,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2045865683], + CellID->380288136], Cell[CellGroupData[{ @@ -224,7 +224,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->819768586], + CellID->1709125748], Cell[TextData[{ "Check that ", @@ -453,312 +453,312 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJzt3QlUE9f+B3BBFouIshfZaVRExQJaQCxaUStKXagFtKDVVl/dlbaibbVq -iwoVFRekKFqk4IL4rJwDCv7B+ljdQAXZCghCRAiEBLKSTP4gIiGZCVkGksDv -c857vhdg8p07d+beWe5c67XbvNerDhs27LsRHf/lvSbok8DANbs/H9Pxf77Y -+t2G/2xd943n1u/X/WddoMva4R0fPu34j1HH73f+bx4AAAAw0BAOIu8IAAAA -lEt7w63dy13Hj/e9S5a1DWkn5d68XUkXuRhuW+mtmw/JHBm/CgAAgCKgZPqa -mX6eLnMDQnuyjWA488wLtojf4dT95WzwwbeP22T8LgAkwm3JC1vv5TbR+sOV -p4tocL4NAF5aH66zNv/iVuHNC5FnzkTF5zRLfX6AsJqbWH3snAi7ubZ1MJyB -MGtSEwupcChSDoyqv84/onB5rKqz7h8sSifLO48MEGphYmoNU94xAOhCf7p9 -vKXPrfuRS6d6BsXeK24SdQqBiVV7JWi5C2Hyd0/pmL/DIWX84uM49v05ifVc -qeMqBqS14FjglVqpigrIAcKhd93oo+Vvdfvmfqu888iEXXs18FhBK/RegAJg -PP/ZVn/ckgVLDt4ltUu/GIRVddnd0PLrByL3TVr+Jmt919g6ZT8HYVdfWPXb -U5q8YwCJ0Z6FrouqUPoOPO3pb6suVEMHBsgdqzxksrbGGE3tKYfKxNqvWHVJ -p07/EXF462ceG281vmsKEFKKp7HZikyKqL+lFwaN03eKxK75rLr02OvP2+Tf -ueJS8q/FZzViNKmMkkOL9xcxBD5VjPCik3dSjJw8caLiDGktjD93j4TZf1GY -kuGHXkqMov2fHSoRrIIADDB21WkHvXFbYtfZjLRYl0npe99hv/hz7V/VHdUZ -Ybyua+tpQMjpn481WfJ/zaKWwCz91U5vSti/LPQft9f/vX3VWYXpH9KLjvvv -vtOEcrhhloe4LxW4lK5I4bGTK1ZOnuioOEMY1bcT/3nN7nwcsLqcKvSVClYy -/NBKiZy+xD20HGNXAgAv7eTSjLhTEal3rpwM3h8Sk83fl2G9vLR9nrHGe1Z+ -21ZPGTVc03RpaAn2XYy3mOXHPb32ZfBXZ05j2j4/W20N/Tm/PBZxcZZVedxe -f+KBEvR9lEtK8XfZlEeVeC0kxKU+v3UxPHjf4XPJGQlnr73E3geR5nR/5w1Z -Qs0qt+GGh8O2J/zXsBQsPFZyRcspKqrkROZn18YHTLCZMKmD3eSPfy4UrOci -S4YnyRqJT6ZSoj3Z6jAvqVGxzpfAIEN9GOiqp66ioqqha2VH0FVXUR3jHl0j -y1UDdkP2lehj651NHX7IahH7dnh7Y/b1lJKiE45j3U5XoV/C4hAvzbJdkYO2 -B+O3Fmxi0g+zzMxnbw6JCAmw0FQZ6YAV5w2kOW2RrdftJoG9lFG0296x1zU/ -hQuPkVzhcmJHlZSM+UWUjMRrJBaZS4lZdtDxw73FcB0L9CdO7UUXHTXjZYnE -dh41Z7WZupqpv9TPoSDUx6E+3scL2hBG8QE7k9k3GsRsQtqJlxaajbGa4bXr -Rh3WXtKa50dwPFGJ+mPx14JReS08KhPjokhbwd4PR41yCH5GQ3j0wp0ETa3J -IZ2XARDqk7N7t3y1aLrTyvPVvfqBjOI99pMCBZ8uo+b6fuB4kn9/l2P4jvi0 -F/k1gqM40ZPLMSf2cAz0qBKTraqLKBkJS75bf5cSu+qk07gAJX+oDCg4bn3i -bN2OverNYEFKtp+Jmva0qGopz0GYpcGOtuu7nrWiZC22/ujPWhzvgZLvfmI+ -Hf0hLfHXor0u7lNz2w2owxU59QkeemoGC5M62z1m6W92742Y8NNzRue1hJKs -2o5/2ZUnPp7X+zljVsVRB8LKPIG9lJK5yNLpD/4AcguPMIl50csIzucEe9vo -yeVXyCKGY6BH7fwiYsLaT2cJWLg5qwXtmC1jVccsGYlLvjt8f5dSe3XkNJtl -2ZiX3QCQGUJK9jRQM1iQTEJ4SFOar4mmoVfCKynvWnac5zubul57c4Tt6O/N -nNr7ToCsqNneNk4RaMPZcVoLSuZiI1Wtrvv47MrwqSM1bHqtAbs2ac+RbHKv -0ypmyQH7iZsLBNaTmvO5jVOvkffyDN9xaHGdKXQcw0gut5wihmOgR5WQrPkx -S0bikhcDLqXErjrlRFiB0vACgBOEnOFtPFxrypEyemvJxVWWOlYBV4lSnzYg -pJT55o6nO3YyhPb0kMcXf77E9Wl0VkWY06QtKMcRvNaCnOFpoDp89PTv/4iN -CFporK5uzjd2hd2QHb1tvo25Z+QL/stY1NwVE9ziiQIHIvrTHZOnHa3g+0V5 -hkc/jqEnl28hd0IZjoEeVTIy58csGYlLXgy4lBKrPNTJfqfQEwEA4IaaE2Cq -McLY2khHR9fC+cvDafUyHfORtidhPh7rw85Hhu6/UEDFe1Q5syzYxQ1lqAhe -a4FQ7h+YZ6E9YrSl61Ifu1HqJn7/Exi7wqoMn+l+4WXPEYFZGuziIXyI4BDj -3J3eXHVQhPCoxzGM5HIuZNThGFhRJSJ7fqySkbTkxYFLKdGffe8w68orZX+5 -A1BcbY++tdTQmXFJtt7dwOGS7wUtCxHsVOG/FkjLP1+O1TBanCY4doVb/1+f -TT1jYhDq/Z+8f0V7PJleuOvjgNxeV6DlFx7lOIadXI450YdjiIgqATzyo5dM -D7FKXkKylBIlc/mMXXAKAvoNLX+7jaYW9vg9RcSsSToelcHff8R/LTivr3sa -qOnNvdn9JBn7ZYyvh8+PkZcT4i73vHWeWZN8Kjz1FXpXtu3RjoW/Cw7hl0t4 -lOOYyOTyyok+HKOvqGLCK79wyfQQp+QlJUspscqPLgp8BG+4Bv2CXRPj62io -qTJs+EiCx85HyvS8BsIidb/eF/+1YFVF+n5koaU6TEXTwjtW1HsRuYzXZBFv -GaYXHfT+XXho5MCHZzcVxC23Gr/x72IKR6zkcsqJSpyofcE5P1/J9BCz5CUi -YymxKs74HS6CMxAAlBOn8fbOwLRGuAoN5IDb9M/PP6Y2KsnlaQCAMG7Lg/N/ -FsD8IGCgIa3P4mIeiv9GCAAAAAAAAAAYQJzXSf/Zcl+Z7oUCAABQDJzai/O8 -lHpaXyAHcwEAQ0BlZaXoQwG0IAAAACTS815KV1td/aluIt9LCQAAAAiDcxAA -AADSgRYEAACAdKAFAQDIBdaUedhT6QEAAAA87CnzREylBwAAAPCwp8wTMZUe -AAAAwAdlyjyRnwMAAJAWqy499vrztnf3BxB6eezWOeMNtXWtZ26KKaPLeuMA -YdTcCZ9roK5tFxD0y55dW9csnbNgzcGkFwy+OxWU/GvxWY2yzfzX9WVoU+aJ -+BwAAIC02uv/3r7qLH/PnP786LbTua9Z7KaHpxe/P3pqaLnMMzlxG27M0TdY -kEzqajM4DUnfWGpbrL5N4nthK73ouP/uO02yzT+OOmUe9ucAAACkxiWl+Lts -yuN/jx27PuPOq7dtBq1gs43pZ5kU1L8VH9KU6mWkP/ta/bsGg1l2aJKW/vw7 -zfy/1Zzu77whiyLqlKedXJoRdyoi9c6Vk8H7Q2Kye521oE+Zh/05AAAA6XGI -l2bZrsjBfBFq64M1E10jq2Wd1rXlno+JruvF2p6+P7vq5NSRup+kNvH/GtKc -tsjW63YTVhNCfRjoqqeuoqKqoWtlR9BVV1Ed4x4ty7zfAAAApNaa50dwPFGJ -0UIg5HsbPb7LlPnNRNTc1WZjnPgbIoSUstBA2z6sovf1MUbxHvtJgU8xzxE4 -tRdddNSMlyUS23nUnNVm6mqm/vBoFQAAyAX57ifm02PrUO8LcMnZh3ZEl6Df -R+95Dx4fjPfgteVvtBo95ci/Pa0Fh3h5roHerPMvBc4fWBVHHQgr87DaBG59 -4mzdjgYkndzxLZRsPxM17WlR1XAOAgAA8kDN9rZxinghfA6C0MvjQ6Kf4DEp -Lr1wJ2G07b6Sd/fqOY3Ja62M3MOKhc41mCUH7CduLqChLwghJXsaqHXdj0ea -0nxNNA29El7BXXEAAJALVkWY06QtQods1subx6Lud81szW0pvJFClP5pLEbx -XtvRhO+fdTUX3NbC2E0uE70OZpJRDv3U3BUT3OKJ6I0CQs7wNh6uNeVIGb21 -5OIqSx2rgKtEOAEBAAB5YZYFu7j1vlXecYqwYcJ7KsPeUtGy//1fKRsQVn3u -9UOeRuqaZst/2H/gwN6dm7/+akvo9WcU9DaCWRrs4nEO69Y4NSfAVGOEsbWR -jo6uhfOXh9PqZb3BDwAAQBZc8r2gZSGK8IArQr3/k/evj1sxLpy1PfrWUkNn -xiWMMxQAAABywKxJOh6VIecePbMm+VR46ivMELT87TaaWlPCpD0dAgAA0D8Q -FqmJJc+3nnMZr8mYAdg1Mb6Ohpoqw4aPJHjsfIQ5egUAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAIQjjyfIsUAACA/sRt -K7118yHaPEZ9ayfl3rxdiTq/a3vDrd3LXceP971LhjYEAAAGJU7dX84GH3z7 -uE2Kv6U92UYwnHkGZfLXTpRMXzPTz9OhAQHyw23JC1vv5TbR+sOVp4toUBUB -wBvCbq5tlXI2IoTVjPmy89aH66zNv7hVePNC5JkzUfE5zYNjxiNmTWpiIR7T -ooMBwKj66/wjCpfHqjrr/sGidLK888gAoRYmptYw5R0DgB4cUsYvPo5j35+T -WM+V9G9ZtVeClrsQJn/3FH3aPvrT7eMtfW7dj1w61TMo9l5x02CYahVpLTgW -eKV2MKzK0IBw6F034mj5W92+ud8q7zwyYddeDTxWgDU3JQByQMvfZK3vGlsn -+fkBwqq67G5o+fUD9L2S8fxnW/1xSxYsOXiXhDGft/JhV19Y9dtTmrxjAInR -noWui6pQ+g487elvqy5UQwcGKAp6YdA4fadIkXWSVZd06vQfEYe3fuax8Vbj -u6YGIaV4GputyKSg/1F5yGRtjTGa2lMOlfW937Lq0mOvP2+Tf+eKS8m/Fp/V -iNHkMUoOLd5fxBD4VDHCi07eSTFy8sSJijOktTD+3D0SZi9JYUqGH3opMYr2 -f3aoRLAKAiAfzNJf7fT6mFKb/eLPtX9Vd1RkhPG6rq2nASGnfz7WZMn/NaPu -d+yq0w5647bErrMZabEukyJy32yv/3v7qrMK0z+kFx33332nCeVwwywPcV8q -cCldkcJjJ1esnDzRUXGGMKpvJ/7zmt350GF1OVXoKxWsZPihlRI5fYl7aLmo -HRYAHLSTSzPiTkWk3rlyMnh/SEw2ao+PVXncXn/igRLRew+z/Lin174M/orM -aUzb52erraE/55fHwpdlWS8vbZ9nrPGeld+21VNGDdc0XRpagn6vpAOXlOLv -sikPfUpvsdZCPFzq81sXw4P3HT6XnJFw9tpL7H0QaU73d96QJdTscRtueDhs -e8J/DUvBwmMlV7ScoqJKTmR+dm18wASbCZM62E3++OdCwXoosmR4kqyR+GQq -JdqTrQ7zkhoV63wJDDLUh4GueuoqKqoaulZ2BF11FdUx7tE1/DtWe2P29ZSS -ohOOY91OV4m8rMpuyL4SfWy9s6nDD1ktEt9u7xOHeGmW7YoctD2477UQF5uY -9MMsM/PZm0MiQgIsNFVGOohcaaQ5bZGt1+0mgb2UUbTb3rHXNTmFC4+RXOFy -YkeVlIz5RZSMxGskFplLiVl20PHDvcVwHQv0J07tRRcdNeNlicR2HjVntZm6 -mqk//3Mo7cRLC83GWM3w2nWjTlT9pT4O9fE+XtCGMIoP2JnMvtGAexPSmudH -cDxRiRqir7Xowai8Fh6ViXFRpK1g74ejRjkEP6MhPHrhToKm1uSQzssA2CMF -GMV77CcFCj5jRs31/cDxJP/+LsfwHRuH9iK/RnAsJ3pyOeZEqE/O7t3y1aLp -TivPV/fqbKNHlZj4+dGIKBkJS75bf5cSu+qk07gAJX+oDCg4bn3ibN2OverN -YD5Ktp+Jmva0qGqJO5bM0mBH2/Vdz1pRshZbf/RnLe53P8l3PzGfjv4omPhr -0V4X96m57QbUQZGc+gQPPTWDhUmdrR+z9De790ZM+Ok5Q+RIAVbFUQfCyjyB -vZSSucjS6Q/+AHILjzCJedHLCM7nBHvb6MnlV8hcaklWbce/7MoTH8/r/cg4 -etTOLyImrP10loCFm7Na0I7ZMlZ1zJKRuOS7w/d3KbVXR06zWZaNedkNAJkh -pGRPAzWDBckkhIc0pfmaaBp6JbyS+K5lxxm+s6nrtTcVuqOnN3Nq73sA+KBm -e9s4RaANasdpLSiZi41UtbqeFmBXhk8dqWHTtR4iRgowSw7YT9xcILC21JzP -bZx6jb+XX/g3hxbXmULHMYzkcsz5Brs2ac+RbHKvM1j0qBKSNT9myUhc8mLA -pZTYVaecCCtQGl4AcIKQM7yNh2tNOVJGby25uMpSxyrgKlGKkweElDLf3PF0 -x+6F0J4e8vjiz5f98Bw6qyLMadIWlOMIXmtBzvA0UB0+evr3f8RGBC00Vlc3 -FxjBgjJSgJq7YoJbPFHgQER/umPytKMVfBcZ5Bke/TiGnly+hcxuyI7eNt/G -3DPyBf8FGvSokpE5P2bJSFzyYsCllFjloU72O4WeCAAAN9ScAFONEcbWRjo6 -uhbOXx5Oq5fyyI+0PQnz8Vgfdj4ydP+FAir+t9E7McuCXdxQBqTgtRYI5f6B -eRbaI0Zbui71sRulbuL3P74RLKgjBZilwS4ewocIDjHO3enNVQdFCI96HMNI -LudCfhO3Mnym+4WXPcmwokpE9vxYJSNpyYsDl1KiP/veYdaVV/2zMwLA47U9 -+tZSQ2fGJdl6dwOHS74XtCxEsFOF/1ogLf98OVbDaHHauxEs6CMFEOr9n7x/ -RXlImUcv3PVxQG6vK9DyC49yHMNOLsec3QHq/+uzqWdgkIioEsAjP3rJ9BCr -5CUkSylRMpfP2AWnIKDf0PK322hq9TFKUMEwa5KOR2Xw9x/xXwvO6+ueBmp6 -c292P0+GPlKAWZN8Kjz1FXpXtu3RjoW/Cw6xl0t4lOOYyOTyysl+GePr4fNj -5OWEuMs9Ewj0FVVMeOUXLpke4pS8pGQpJVb50UWBj6R5jzYAfWLXxPg6Gmqq -DBs+kuCx85EyPa+BsEjdL/nFfy1YVZG+H1loqQ5T0bTwjhX1XkQu4zUZ613D -vM5Bwge9fxcegDnw4dlNBXHLrcZv/LuYwhEruZxyohInal9wzs9XMj3ELHmJ -yFhKrIozfoeL4AwEAOXEaby9MzCtEa5CAzngNv3z84+pjUpyeRoAIIzb8uD8 -nwUwPwgYaEjrs7iYh/3wXggAAAAAAAAAkB3nddJ/ttxXpnuhAAAAFAOn9uI8 -L6We1hfIx1wAwBBQWVkp4jgALQgAAACJ9LyX0tVWV3+qm8j3UgIAAADC4BwE -AACAdKAFAQAAIB1oQQAA8oI1gSP2xI4AAAAAD3sCRxETOwIAAAA87AkcRUzs -CAAAAPBBmcBR5OcAAACkxapLj73+vO3d/QGEXh67dc54Q21d65mbYsrost44 -QBg1d8LnGqhr2wUE/bJn19Y1S+csWHMw6QWD704FJf9afFajbJP/dX0Z2gSO -Ij4HAAAgrfb6v7evOsvfM6c/P7rtdO5rFrvp4enF74+eGlou82RO3IYbc/QN -FiSTutoMTkPSN5baFqtvk/je2UovOu6/+06TbFOQo07giP05AAAAqXFJKf4u -m/L4X2XHrs+48+ptm0Er2Gxj+lkmBfVvxYc0pXoZ6c++Vv+uwWCWHZqkpT// -TjP/bzWn+ztvyKKIOuVpJ5dmxJ2KSL1z5WTw/pCY7F5nLegTOGJ/DgAAQHoc -4qVZtityMN+F2vpgzUTXyGpZZ3Ztuedjout6sban78+uOjl1pO4nqU38v4Y0 -py2y9brdhNWEUB8Guuqpq6ioauha2RF01VVUx7hHyzL1NwAAAKm15vkRHE9U -YrQQCPneRo/vMmV+ORE1d7XZGCf+hgghpSw00LYPq+h9fYxRvMd+UuBTzHME -Tu1FFx0142WJxHYeNWe1mbqaqT88WgUAAHJBvvuJ+fTYOtT7Alxy9qEd0SXo -99F7XoXHB+NVeG35G61GTznyb09rwSFenmugN+v8S4HzB1bFUQfCyjysNoFb -nzhbt6MBSSd3fAsl289ETXtaVDWcgwAAgDxQs71tnCJeCJ+DIPTy+JDoJ3jM -i0sv3EkYbbuv5N29ek5j8lorI/ewYqFzDWbJAfuJmwto6AtCSMmeBmpd9+OR -pjRfE01Dr4RXcFccAADkglUR5jRpi9Ahm/Xy5rGo+12TW3NbCm+kEKV/GotR -vNd2NOH7Z13NBbe1MHaTy0Svg5lklEM/NXfFBLd4InqjgJAzvI2Ha005UkZv -Lbm4ylLHKuAqEU5AAABAXphlwS5uvW+Vd5wibJjwnsqwt1S07H//V8oGhFWf -e/2Qp5G6ptnyH/YfOLB35+avv9oSev0ZBb2NYJYGu3icw7o1Ts0JMNUYYWxt -pKOja+H85eG0ellv8AMAAJAFl3wvaFmIIjzgilDv/+T96+NWjAtnbY++tdTQ -mXEJ4wwFAACAHDBrko5HZci5R8+sST4VnvoKMwQtf7uNptaUMGlPhwAAAPQP -hEVqYsnzredcxmsyZgB2TYyvo6GmyrDhIwkeOx9hjl4BAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYfBCOPF8SBQAAoH+0 -k3Jv3q5En3xVbNy20ls3HwrPctTecGv3ctfx433vkqENAQCAQYb2ZBvBcOYZ -lJlZJcCp+8vZ4INvH7cJ/4iS6Wtm+nk6NCBAfrgteWHrvdwmWn+48nQRDaoi -APhBWM2yv4kcYTfXtqLNVdT6cJ21+Re3Cm9eiDxzJio+p3kQTGjErElNLMRj -ynMwMBhVf51/ROHyWFVn3T9YlE6Wdx7ZINTCxNQaprxjAMBj1V4JWu5CmPzd -Uxnm1OOQMn7xcRz7/pzEeq7QD+lPt4+39Ll1P3LpVM+g2HvFTUo/kyrSWnAs -8Eqt0q/HUIJw6F034mj5W92+ud8q7zyyYtdeDTxWgDX7JAADBWFVXXY3tPz6 -gWz7FC1/k7W+a2yd8OkF4/nPtvrjlixYcvAuCWO6biXDrr6w6renNHnHANKg -PQtdF1UxGHrvtKe/rbpQDd0YIF8IKcXT2GxFJqWP32PVJZ06/UfE4a2feWy8 -1SjYUNALg8bpO0Wi1GdWechkbY0xmtpTDpX1vd+y6tJjrz9vk3PPikvJvxaf -1YjR3jFKDi3eX8QQ+FQxkvP6Ct9JiaLiDGktjD93j4R5FVVhSkYAekExivZ/ -dqhEsCICMJAQcvrnY02W/F9zH3sN+8Wfa/+q7qjCCON1XZvgLsgs/dVOD3XC -bXbVaQe9cVti19mMtFiXSRH5Le31f29fdVYx+of0ouP+u+80oRxrmOUh7ksF -rqMrUnKeqPBKFRVnCKP6duI/r9mdTw1Wl1OFnxlUrJIRgFZQ5PQl7qHlg2CW -e6Rd4Rpt0K2dXJoRdyoi9c6Vk8H7Q2Ky+TsynMa0fX622hr6c3553NcVVWb5 -cU+vfRmo+zqr8ri9/sQDJYI7H+vlpe3zjDXes/LbtnrKqOGapktDSzDvtnBJ -Kf4um/LQZ+wWtRYS4lKf37oYHrzv8LnkjISz115i7IBIc7q/84YsoTaP23DD -w2HbE/5rWAqWXER4ZYoqOZH52bXxARNsJkzqYDf5458LBeuhyJLhSbJGEpGp -oGhPtjrMS2pU4qMvwiJmnt2xYNrSzBZ5RwFoqA8DXfXUVVRUNXSt7Ai66iqq -Y9yja6Q4MLAbsq9EH1vvbOrwQ1YL383y9sbs6yklRSccx7qdrpLtYWDipVm2 -K3LQ9mDc1oLHJib9MMvMfPbmkIiQAAtNlZEO2KmR5rRFtl63mwT2T0bRbnvH -XhfkFC45dngliiopGfOLKBmJ10hcMhcUs+yg44d7i5X3OhbCbKglPthBMJl/ -D1oQxcSpveiio2a8LJHYzqPmrDZTVzP1l/Q5FIT6ONTH+3hBG8IoPmBnMvtG -w7smpJ14aaHZGKsZXrtu1Mm4S7Xm+REcT1SiLkX8tWBUXguPysS4KNJWsPfD -UaMcgp/REB69cCdBU2tySNc1AIT2Ir9GcEAlo3iP/aRAwUfUqLm+Hzie5N/T -5Zgce4wDeng5RkWoT87u3fLVoulOK89X9+ppo0eVmGxVXUTJSF743fq7oNhV -J53GBSj5c2XM0t/sTKEFUVDc+sTZuh171ZvBfJRsPxM17WlR1ZJ1LJmlwY62 -67se1aJkLbb+6M/a/rj1Sb77ifl0tGe5JFmL9rq4T81tN6CNauRx6hM89NQM -FiZ1NoCd1fa9ERN+es7o6AcR86KXEZzPCXZYWRVHHQgr8wT2T0rmIkunP/i/ -XW7JRY1xQA8vv6hcaklWbce/7MoTH8/r/cw3etTOLyImrP10loCFm7Na0I7W -MlZ1zJKRpvAHqqDaqyOn2SzLxrzyphSgBVFgCCnZ00DNYEEyCeEhTWm+JpqG -XgmvJLtr2XF672zqeu1NVe7o5s2c2vseAG6o2d42ThFow+LxWAte56F/sZGq -VtftfnZl+NSRGjbdq9Kxa7rOFGpBmCUH7CduLhBYW2rO5zZOvYbvyy+5iDEO -GOHlWMhvsGuT9hzJJvcaNIQeVUKy5scsGWkKXwy4FBS76pQTYQVK26tMoAVR -XAg5w9t4uNaUI2X01pKLqyx1rAKuEiU9f0BIKfPNHU937FsI7ekhjy/+fNk/ -T6CzKsKcJm1BOY7gshYdyBmeBqrDR0///o/YiKCFxurq5u/GwKC3INTcFRPc -4okCRyH60x2Tpx2t4Lu8IM/kXVDGOKCHl29UdkN29Lb5NuaekS/4r86gR5WM -zPkxS0aawhcDLgXFKg91st8p9FCAcoEWRHFRcwJMNUYYWxvp6OhaOH95OK1e -moM/0vYkzMdjfdj5yND9FwqowmPOccIsC3ZxQxlRgs9adKwH5f6BeRbaI0Zb -ui71sRulbuL3v+4xMKgtCLM02MVDqFnpOCeLc3d6c71BEZLzMMY4YISXc9RO -rMrwme4XXvYkw4oqEdnzY5WMFIUvDlwKiv7se4dZV1712y45IKAFUVhtj761 -1NCZcUm23t3A4ZLvBS0LEexR4b8WSMs/X47VMFqc9m4MDEoLglDv/+T9K9oz -zvTCXR8H5Pa69iy/5OhjHLDDyzFqd4D6//ps6hkYJCKqBPDIj14yPcQtfAnJ -UlCUzOUzdin5KcibsWTQgigiWv52G00t1GF+CotZk3Q8KoO//4j/WnBeX/c0 -UNObe7PnkTKhFoRZk3wqPPUVej+27dGOhb8Ljq+XS3L0MQ4iw8st6ssYXw+f -HyMvJ8Rd7pkBoK+oYsIrv3DJ9BCz8CUlS0Gxyo8uCnyEdp9eabAbn6SEuOuN -HPfd1dwKmnKfTA0q7JoYX0dDTZVhw0cSPHY+UqaHNRAWqfs1wfivBasq0vcj -Cy3VYSqaFt6xb1+NyG4qiFtuNX7j38WUtzssl/GaLOJVxfSig96/Cw2flENy -VH2EV7aofcE5P1/J9BB/jSQiY0GxKs74HS5S8jMQAIYgTuPtnYFpjdBlAnLD -bfrn5x9ThV5QBwBQAtyWB+f/LID5QYB8IK3P4mIetkAfBgAAAAAAAAAAAAAA -MKTNBQAMDZWVlXDEkAIu5QYAAIOPRK+mBAAAAAAAAAAAAAAAAACGIKyZ+Pqe -oQ8AOcGqnNjzPwIA+gPWTHx9z9AHgJxgVU4R8z8CAPoD1kx8ss3QB0A/6qNy -os3/CADoT1gz8Uk3Qx8AAwCtcmLM/wiAYmHVpcdef9727hIsQi+P3TpnvKG2 -rvXMTTFldFlvHCCMmjvhcw3Ute0Cgn7Zs2vrmqVzFqw5mPSCwXengpJ/LT6r -UbbJ/7q+DGMmPqln6AMKaUhU2k5C8z8CoEja6//evuosf+eH/vzottO5r1ns -poenF78/empoucwdIG7DjTn6BguSSV27H6ch6RtLbYvVt0l8Z+f0ouP+u+80 -yTYFOcZMfLjM0AcUxpCotN0xes//CIAi4ZJS/F025fHPdcSuz7jz6u3uRyvY -bGP6WSYF9W/FhzSlehnpz77Wcz+QWXZokpb+/DvN/L/VnO7vvCFL5L7STi7N -iDsVkXrnysng/SEx2b06gFgz8eEzQx9QFEOj0qLO/wiAQuEQL82yXZGDOVle -64M1E10jq2Wd6K7lno+JruvF2p79gF11cupI3U9Sm/h/DWlOW2TrdbsJa2+k -Pgx01VNXUVHV0LWyI+iqq6iOcY+ugdP7IQYqLQAKojXPj+B4ohJjZ0PI9zZ6 -fJcp85uJqLmrzcY48e/TCClloYG2fVhF70sNjOI99pMCn2KeI3BqL7roqBkv -SyS286g5q83U1Uz94dGqoQYqLQAKgnz3E/PpsXWo58hccvahHdEl6LckJXkP -Xlv+RqvRU47827PjcYiX5xrozToveHuQVXHUgbAyD2v34tYnztbt2BfTyR3f -Qsn2M1HTnhZVDd25IQYqLQAKgprtbeMU8UK4O4fQy+NDop/gMTUuvXAnYbTt -vpJ3tz05jclrrYzcw4qFum3MkgP2EzcX0NAXhJCSPQ3Uum5tIk1pviaahl4J -r+AK8VADlRYABcGqCHOatEWo9rNe3jwWdb9rZmtuS+GNFKL0D7YwivfajiZ8 -/6xrz+O2FsZucpnodTAT7eYgNXfFBLd4Ivr+hZAzvI2Ha005UkZvLbm4ylLH -KuAqEfpyQw9UWgAUBbMs2MWt913Hjt7WhgnvqQx7S0XL/vd/pdwXWfW51w95 -Gqlrmi3/Yf+BA3t3bv76qy2h159R0Hc3Zmmwi8c5rLuM1JwAU40RxtZGOjq6 -Fs5fHk6rl/VeKVBOUGkBUBRc8r2gZSGK8IArQr3/k/evj1sxrkG0PfrWUkNn -xiWMzh4YQqDSAqA4mDVJx6My5Nw5YtYknwpPfYUZgpa/3UZTa0qYtD1LMLhA -pQVAcSAsUhNLnqNeuYzXZMwA7JoYX0dDTZVhw0cSPHY+whwIAIYUqLQAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGCQQTgw1TEAACisdlLu -zduV6NPLSIXbVnrrpqyzFLc33Nq93HX8eN+7ZGhDAABAMdGebCMYzjyDMveM -lDh1fzkbfPDt4zYZl0PJ9DUz/TwdGhAAAFBYCKsZ33etIezm2laZ38zc+nCd -tfkXtwpvXog8cyYqPqdZxBKZNamJhXjMsgYAAEBMrNorQctdCJO/w57yXjIc -UsYvPo5j35+TWM+VbUn0p9vHW/rcuh+5dKpnUOy94ibMcySkteBY4JVamIQG -AAAGEsKquuxuaPn1A6wZ7yVHy99kre8aWyfjOQjj+c+2+uOWLFhy8C5J9PyW -7OoLq357ijHh8gBC2uEcCAAwlCCkFE9jsxWZFNyWSC8MGqfv1HsyTSmwykMm -a2uM0dSecqiMKfI3GSWHFu8vYgj+fV167PXnbb2P6Qij5k74XAN1bbuAoF/2 -7Nq6ZumcBWsOJr1gyHboR1jEzLM7FkxbmtnS9QGXkn8tPqtRRMOHGm/AKUtO -3iCLKhaEXh67dc54Q21d65mbYsowHnRRjLUeVFtHiaLKH0JO/3ysyZL/a8at -uJilv9rpyT69GLvqtIPeuC2x62xGWqzLpIiIxywPcV+aTu71WXv939tXna1A -aXm4DTfm6BssSCZ1LZHTkPSNpbbF6tskGS65IcyGWuKDHQST+fda3n1ILzru -v/tOE+qJGHa8gacsOXmDJqq4i3h+dNvp3NcsdtPD04vfHz01tFx4l1KktR4k -W0eJog6MdnJpRtypiNQ7V04G7w+JyeZv0DiNafv8bLU19Of8gjljsZiLeodV -edxef+KBkj63gKilsV5e2j7PWOM9K79tq6eMGq5pujS0BOs2TUeT4OGw7Qn/ -NSwuKcXfZVMe2vRmSFOql5H+7Gs992iYZYcmaenPv9PcV2DRmKW/2ZnytyA8 -pDnd33lDlnDjJyKemIUsHi71+a2L4cH7Dp9Lzkg4e+0lRpuuLDkHSVQ+nNdJ -/9lyH2MWPnZ9xp1Xb5dPK9hsY/qZ0HUCBVvrwbB1lCjqgKA+DHTVU1dRUdXQ -tbIj6KqrqI5xj66Rar37XlR7Y/b1lJKiE45j3U5X9XEJC8dgjKLd9o69LnRx -iJdm2a7IQa0FLfd8THRdL9b2tOnsqpNTR+p+ktokzZf3EG5BOrZ92iJbr9tN -AtteRDz8ioVNTPphlpn57M0hESEBFpoqIx2wt4my5BwUUXvFrr04z0vg7BlV -64M1E12Frgsr3For/9ZRoqgDpKOOuuioGS9LJLbzqDmrzdTVTP3vS3fPvK9F -tRMvLTQbYzXDa9eNur5vgeAXjJrr+4HjSf5N0JrnR3A8UYkWgpq72mxMr3s0 -CClloYG2fViFjFfdUFoQHqN4j/2kQMGH3ETEk6BYGJXXwqMyMc5u2wr2fjhq -lEPwMxrCoxfuJGhqTQ7pugaC0F7k1wheUVe4nNyWvLD1Xm4TrT9cebqIxp9W -4aIi1Cdn9275atF0p5Xnq3vVIfSoAtHEaUEQ8r2NHt9ltggeQqAi9ZlziFSk -/sOtT5yt27HSb8bkUbL9TNS0p0VVS9XVx3FR+C6NkrnI0ukP/r8l3/3EfDrq -o2Bt+RutRk85wnePhkO8PNdAb9b5l+jf3U5MWPvpLAELN2cJ7c2oLQir4qgD -YWWeQC3DjidBsbTXxX1qbrsBdcwmpz7BQ0/NYGFSA7cr13sjJvz0nMFDmMS8 -6GUE53OCPScFy8ljVP11/hGFy2NVnXX/YFGvQ6yiReVSS7JqO/5lV574eF7v -59fRo/L4K5Wrra7+VDfsSvVmBcjZh3ZEl6DcR4eK1EfOoVOR+jo6SQshJXsa -qHXdNkaa0nxNNA29El5JdVMGx0XhvDRqzuc2Tr3G01OzvW2cIlBG2Hc2+aNt -9/Xco+E0Jq+1MnIPK5a9fUdrQZglB+wnbi4QeMwYMx5exULJXGykqtX1MAO7 -MnzqSA2b7vtEHZXRdabQjq9oOREOvetdaLT8rW7f9OrnKVrUt9i1SXuOZJN7 -PY2BHpVf3+cgCL08PiT6CfpIWahIfeUcKhWpvyDkDG/j4VpTjpTRW0surrLU -sQq4SpTurAHHReG9NPrTHZOnHeW/CMWqCHOatEW4xBnFe21HE75/1tVccFsL -Yze5TPQ6mCnj67u6dD6CJtiCUHNXTHCLJwosHisebsVCzvA0UB0+evr3f8RG -BC00Vlc3fzfaB33HV7ycXWjPQtdF9X4qRhGjshuyo7fNtzH3jHzBf/UBPSq/ -vloQ1subx6Lut7w5nHBbCm+kEHtd3YCK1HfOLoO9IvUXak6AqcYIY2sjHR1d -C+cvD6fVSz1EA8dF4b00DjHO3enNieA7zLJgF7feNx5Z9bnXD3kaqWuaLf9h -/4EDe3du/vqrLaHXn1Fw2S7sxicpIe56I8d9dzW3gtbdgWCWBrt4CO1lqPHe -wKtYEMr9A/MstEeMtnRd6mM3St3E73/dT/Gg7vgKmLPzp62F8efukXpvH8WM -2olVGT7T/QLfxVCsqHxEtiAd58cbJrynMuwtFS373wWfkIeK1GdO3pCoSP2k -7dG3lho6My7h0HjhuCjcl8ajF+76OCC31+MTXPK9oGUhhXK599QNod7/yftX -1Kek0ePhXCydEVr++XKshtHitHejfVB2fIXMiTCqbyf+85rd+Zbn6nIqR4Gj -dgeo/6/Ppp5xSyKi4ggqUl85oSJJj5a/3UZTS/ahffguCvel8To3746FvwuO -W2fWJB2PypDpVEkWzJrkU+GprzC/Xjge7sXC47y+7mmgpjf3ZsO7y6pCO75C -5mTXxgdMsJkwqYPd5I9/frs7K2bUlzG+Hj4/Rl5OiLvcM5tBX1FxBBVJRE6o -SNJi18T4OhpqqgwbPpLgsfMRxpilgV4U7kvrRi866P278BhGhEXC943D4uMy -XpP7+mq+ePgXC6sq0vcjCy3VYSqaFt6xb985yW4qiFtuNX7j38XdF+8UMyeq -QRYVR1CRsHKiGmRRAR44jbd3BqY1yvguYAAAAEMRt+XB+T8LYH4QAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAC6YL+cHygl2KCDDGxQoMBEvJwfKCPYoIMM -bFB5QKiFiak1ijIPuyIT8XJ+oIxggw4ysEHlg117NfBYgTxelqicUF7OD5QZ -bNBBBjboQKM9/W3VBeF3yANhqC/n58OqS4+9/rxNsZpjLiX/WnxWo4g38itM -7L6j4gw2aP+CDSomZdmm6DkZRfs/O1TCQP8T0A395fw92uv/3r7qrEJ2fuhF -x/1332lC3a8ULLaoqDiDDToQYIOKSVm2KVpOcvoS99By3N4Wr6zayaUZcaci -Uu9cORm8PyQmu1dLi/5y/h5cUoq/y6Y8zNclc6nPb10MD953+FxyRsLZay/x -KG3xl4k0p/s7b8iiCPVgRMYWWSADHlVysEEFwAYd4A0q0WKVZZui5KQ92eow -L6lR4U7tBhL1YaCrnrqKiqqGrpUdQVddRXWMe7T4kzFyiJdm2a7IQd/IbGLS -D7PMzGdvDokICbDQVBnpcLpK1quGEi4TaU5bZOt1u0lgG4uILWOB4B5VUrBB -BcAGHdgNKvlilWWbCudklh10/HBv8dC+jsWpveiio2a8LJHYzqPmrDZTVzP1 -F/+BjtY8P4LjiUq0Mm8r2PvhqFEOwc9oCI9euJOgqTU5pOuED6G9yK+hY+xY -jMpr4VGZGGf/WMvEfiSeUbzHflLgU4GOmYjYEhSIVFER6pOze7d8tWi608rz -1b16O+hRJTYoNqikpSTHDSpp3ZPYgG/QvgeYDPZtilGlhXKyq046jQsY2s+/ -cesTZ+t2bIp0ckdpUbL9TNS0p0VVi92ak+9+Yj49tk54+3DqEzz01AwWJnVO -AMks/c3uvRETfnrO4CFMYl70MoIz1qTz7XVxn5rbbnjchvIzrGWKeiSeVXHU -gbAyT2AbY8aWpECkisqllmTVdvzLrjzx8bzEev7ptNCjdn4RMWHtp7MELNyc -1YK2cw+KDSpxKclvg0pc93gKvkHFGGAyyLcpZpUWytleHTnNZlk2TrO0KiWE -lOxpoGawIJmE8JCmNF8TTUOvhFfi3/6jZnvbOEW8EO4nUDIXG6m+nZSYXRk+ -daSGzbYntDc/EpqdWVyYyxTxSDyz5ID9xM0FNDFjy1wgfUV9i12btOdINrnX -fIzoUSU0ODboW+KXkvw2qMR1T0IDv0FlG2AyGLYpVpUWysmuOuVEWIHSRxgy -EHKGt/FwrSlHyuitJRdXWepYBVwlSnIkYFWEOU3agrKTkDM8DVSHj57+/R+x -EUELjdXVzb9+0Nr9N1IecEQsswvKI/HU3BUT3OKJArULM7bMBSJOVHZDdvS2 -+TbmnpEv+E/m0aNKZhBtUIlKSb4btJPYdU8yctmgXaQbYDI4til6lRbKySoP -dbLfKfTwwhBCzQkw1RhhbG2ko6Nr4fzl4bR6Se+jMcuCXdwihYfVIJT7B+ZZ -aI8Ybem61MdulLqJ3/8ob38k9QFHxDJ5GI/EM0uDXTxQvgsrtuwFIk7UTqzK -8JnuF172JMOKKpHBtEHfLFrcUpLvBpWo7klELhuU1/cAE0yDY5uiVmnhnPRn -3zvMuvKq1wnVkNL26FtLDZ0Zl2TpJnHJ94KWhWA3w0jLP1+O1TBanNbcfZFX -6gOOiGWiPxKPUO//5P3rY7Q3D6DHxqNA+oraHaD+vz6bMt89GigiqgQGzwbt -DiN2Kclvg0pc9yQgnw3a1wATsSj1NkWp0mg5KZnLZ+wawqcgtPztNppvrwPK -glmTdDwqA70jwHl93dNATW/uzYZ3DbXMBxyhZaI/Es+sST4VnvoKs38iHBuv -AhEV9WWMr4fPj5GXE+IuPyR37wN9RRXT4NmgUpWSfDaoVHVPTHLZoH0NMBGP -Mm9TlCqNmpNVfnRR4CO0m/RDALsmxtfRUFNl2PCRBI+dj2R9mgBhkZpYgr0I -VlWk70cWWqrDVDQtvGNru0qf3VQQt9xq/Ma/iynS9CFQl4mKy3hNFoqEHRvn -AsE9al9ggwrEhg3ai/gbVHbKvk2FqzRqTlbFGb/DRUP3DAQAAIB0uE3//Pxj -auNAvLYGAADAIIK0PouLedgydO+hAwAAAAAAAAaf/wdDJbXa - "], {{0, 210}, {534, - 0}}, {0, 255}, +1:eJzt3QlUE9f+B3BBFosIshfZaVRExUK0gFi0oj5R6kItoAWttvpad6kVbatV +WlSouIsURYtUXCjWyjmgwB/Ux+oGKshWQBAiQiAkkJVk8gdRyTITskES+H3O +ec/3Aky+c+fO3DvLnWu3ZovvOvVhw4Z9N6Lrv3xXh3wSHLx612eju/7P55u/ ++/a/m9d+7b15+9r/rg12WzO868MnXf8x7fr97v/NBQAAAAYawkYUHQEAAIBq +6Wy6uWuZ+7hx/rdJsrYhncT8G7eqaSIXw+kov3njAYkt41cBAABQBuRsf0uL +zzJlbkCoj7fgTGacfs4S8Tvshj9djT/45lGHjN8FgEQ4bQWR63w8Jth9uOJU +CRXOtwGQl/YHa+2sPr9ZfON89OnTMQl5rVKfHyDM1hZmHzsnwmqtbx8MZyCM +urSkYgocilQDvebPcw/JHC6z5oznBwszSYrOIwOEUpyUVsdQdAwAetCebB1n +43fzXvSSKd4h8XdLW0SdQmBi1l8JWeaGm/TdExrm77CJWT/7uYx5f3ZSI0fq +uMoBaS86EnylXqqiAgqAsGk9N/qohZs9vr7Xrug8MmHVXw0+UtQOvRegBOjP +fnIwGrt4/uL9t4md0i8GYdZc9jSx+eq+yH2TWrjBzsg9vkHVz0FYtedX/vqE +qugYQGLUpxFrY6pUvgNPffLryvO10IEBCsesDJ+kqzVaW3fygQqx9itmQ/LJ +U79HHdz8qdf6m83vmgKEmOptZrk8myzqb2nFIWON8NHYNZ/ZkBn/d2mH4jtX +HHJhUkJOM0aTSi87sGhfCV3gU+UILzp5N+XIyRUnqpwh7cUJZ+8SMfsvSlMy +vNBLiV6y79MDZYJVEIABxqo55Ww4dlP8WvuR1muzyX3vO6znf6z5s7arOiP0 +Vw0dvQ0IKfOzMeaL/69V1BIY5b84Gk6O/JeJ/uPOxn+2rjyjNP1DWsnRwF0Z +LSiHG0ZluOcSgUvpyhQeO7ly5eSKjipnCL32VtKdV6zuxwFrKylCX6lkJcML +rZRImYs9IyoxdiUA5KWTVJ518WRUWsaVE2H7wuNyefsyzBeXts4103rPNmDL +qsmjhmtbLIkow76L8Qaj8qi3z94s3urMbk7fG+Cgq2U0++dHIi7OMquPOhlN +CC1D30c5xNRAtw0FFInXQkIcyrObF46F7T14NiUr8cxfL7D3QaQ1M9D12xyh +ZpXTdN3Lectj3mtYShYeK7my5RQVVXIi87PqE4LG24+f2MVx0sc/FQvWc5El +w5VkjcQnUylRH292npvcrFznS2CQoTwIdjfUVFNT1zKwdcQZaKqpj/aMrZPl +qgGrKfdK7JF1rhbO3+e0iX07vLM591pqWclxlzEep2rQL2GxCZdmOizPQ9uD +5bcWLELy9zMtrWZtDI8KD7LWVhvpjBXnNaQ1faGDz60Wgb2UXrLLyYXvmp/S +hcdIrnQ5saNKSsb8IkpG4jUSi8ylxKjY7/LhnlK4jgX6E7v+gpuehtnSJEIn +l5K3ylJTwyJQ6udQEMqjCD/fo0UdCL001NF81vUmMZuQTsKlBZajbaf77Lze +gLWXtBcE4FyOV6P+WIK16CQ3NDEwDkYdRXs+HDXKOewpFeHSinfgtHUmhXdf +BkAoj8/s2fTlwmn4Fedq+fqB9NLdThODBZ8uo+T7f+Bygnd/V2D4rvjU54V1 +gqM40ZMrMCf2cAz0qBKTraqLKBkJS/6dfi4lVs0J/NggFX+oDCg5TmPSLIOu +ver1YEFyboC5hu7UmFopz0EY5WEuDut6nrUi5yyy++iPejneAyXd/sRqGvpD +WuKvBas2Gq9v/jlqV5LdmOhlqGG8ILm73WOU/+r43ojxPz6jd19LKMup7/qX +VX3847n8zxkzqw4741YUCOyl5OyFNvjfeQMoLDzCIBTELsW5nhXsbaMnV1wh +ixiOgR6V293xSFzzn5kCFmzMaUM7LMtY1TFLRuKSf6PfS6mzNnqq/dJczMtu +AMgMIaZ4G2sYz08hIlykJd3fXNvEJ/GllHctu87zXS3c/3p9hO3q782Ywn8n +QFaUXF97fBTacHZJ1oJNKky78xy1W0jOXmSqrtNzH59VfWzKSC17vjVg1Sfv +PpRL4jutYpSFOk3YWCSwnpS8z+zxfCPvFRm+69DiPkPoOIaRXGE5RQzHQI8q +IVmrOmbJSFzyb/V3KbFqTuJxy1EaXgDkBCFl+ZoN15l8qILWXnZhpY2ebdBV +gtSnDQgxdZ6Vy6munQyhPjng9fkfL+T6NDqzKhI/cRPKcURea0HK8jZWH64/ +bfvv8VEhC8w0Na14xq6wmnJjt8yzt/KOfs57GYuSv3y8RwJB4EBEe7Jt0tTD +VTy/qMjw6Mcx9OSKLeRuKMMx0KNKRub8mCUjccmLQS6lxKyMwDvtEHoiAAC5 +oeQFWWiNMLMz1dMzsHb94mB6o0zHfKTjcaSf17rIc9ER+84XUeQ9qpxREebm +gTJURF5rgZDvhc611h2hb+O+xM9xlKZ5wP8Exq4wq4/N8Dz/oveIwCgPc/MS +PkSwCRc98a+vOihDeNTjGEZyBRcy6nAMrKgSkT0/VslIWvLikEsp0Z5ud555 +5aWqv9wBKK+Oh9/YaOlNvyRb727gcEh3Q5aGC3aq5L8WSNudL8ZomS5KFxy7 +wmn8229D75gYhHLvR99f0B5PphXv/Dgon+8KtOLCoxzHsJMrMCf6cAwRUSUg +j/zoJdNLrJKXkCylRM5eNn0nnIKAfkMt3GqvrYM9fk8ZMeqSj8Zk8fYf5b8W +7FfXvI01DOfcePskGetFnL+X3w/RlxMvXu596zyjLuXksbSX6F3ZjofbFvwm +OIRfIeFRjmMikysqJ/pwjL6iikle+YVLppc4JS8pWUqJWXl4YfBDeMM16Bes +ujh/FxNttWHDR+K8djxUpec1ECbx7et95b8WzJpo/4+sddSHqWlb+8aLei8i +h/6KJOItw7SS/b6/CQ+NHPjwrJaii8tsx63/p5TMFiu5gnKiEidqX+Scn6dk +eolZ8hKRsZSYVacDDpbAGQgAqondfGtHcHozXIUGCsBpufPTD2nNKnJ5GgAg +jNN2/9wfRTA/CBhoSPvTi3EPxH8jBAAAAAAAAAAMIPar5P9uuqdK90IBAAAo +B3b9hbk+Kj2tL1CAOQCAIaC6ulr0oQBaEAAAABLpfS+lu4OB0RQPke+lBAAA +AITBOQgAAADpQAsCAABAOtCCAAAUAmvKPOyp9AAAAAAu9pR5IqbSAwAAALjY +U+aJmEoPAAAA4IEyZZ7IzwEAAEiL2ZAZ/3dpx7v7AwitMn7z7HEmugZ2MzbE +VaDOnS0JhF6XcWyOsaauY1DIz7t3bl69ZPb81fuTn9N57lSQC5MScpplm/mv +58vQpswT8TkAAABpdTb+s3XlGd6eOe3Z4S2n8l8xWS0PTi16X39KRKXMMzlx +mq7PNjKen0LsaTPYTclf2+har7pF5HlhK63kaOCujBbZ5h9HnTIP+3MAAABS +4xBTA902FPC+x47VmJXx8k2bQS3aaG/xaTYZ9W/Fh7Sk+Zgazfqr8V2Dwag4 +MFHHaF5GK+9vtWYGun6bQxZ1ytNJKs+6eDIqLePKibB94XG5fGct6FPmYX8O +AABAemzCpZkOy/MwX4Tafn/1BPfoWlmndW2762du4H6hvrfvz6o5MWWkwSdp +Lby/hrSmL3TwudWC1YRQHgS7G2qqqalrGdg64gw01dRHe8bKMu83AAAAqbUX +BOBcjldjtBAI6e56r++yZX4zESV/leVoPG9DhBBTFxjrOkVW8V8fo5fudpoY +/ATzHIFdf8FNT8NsaRKhk0vJW2WpqWERCI9WAQCAQpBuf2I1Lb4B9b4Apy33 +wLbYMvT76L3vweOB8R68jsL1tvqTD/3b21qwCZfnGBvOPPdC4PyBWXXYGbei +AKtN4DQmzTLoakAySV3fQs4NMNfQnRpTC+cgAACgCJRcX3t81HPhcxCEVpkQ +HvtYHpPi0op34PQd9pa9u1fPbk5ZY2vqGVkqdK7BKAt1mrCxiIq+IISY4m2s +0XM/HmlJ9zfXNvFJfAl3xQEAQCGYVZH4iZuEDtnMFzeOxNzrmdma01Z8PZUg +/dNY9NI9Dvq47U97mgtOe3H8BrcJPvuzSSiHfkr+8vEeCQT0RgEhZfmaDdeZ +fKiC1l52YaWNnm3QVQKcgAAAgKIwKsLcPPhvlXedInw7/j21YW+o6Tj99q+U +DQizMf/aAW9TTW3LZd/vCw3ds2PjV19uirj2lIzeRjDKw9y8zmLdGqfkBVlo +jTCzM9XTM7B2/eJgeqOsN/gBAADIgkO6G7I0XBkecEUo9370/eVRO8aFs46H +39ho6U2/hHGGAgAAQAEYdclHY7IU3KNn1KWcPJb2EjMEtXCrvbbO5EhpT4cA +AAD0D4RJbGEq8q3nHPorEmYAVl2cv4uJttqw4SNxXjseYo5eAQAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGIIQtiLfIgUA +AKA/cTrKb954gDaPUd86ifk3blWjzu/a2XRz1zL3ceP8b5OgDQEAgEGJ3fCn +q/EH3zzqkOJvqY+34ExmnEaZ/LUbOdvf0uKzTGhAgOJw2goi1/l4TLD7cMWp +EipURQDkDWG11rdLORsRwmzFfNl5+4O1dlaf3yy+cT769OmYhLzWwTHjEaMu +LalYHtOigwFAr/nz3EMyh8usOeP5wcJMkqLzyAChFCel1TEUHQOAXmxi1s9+ +LmPen53UyJH0b5n1V0KWueEmffcEfdo+2pOt42z8bt6LXjLFOyT+bmnLYJhq +FWkvOhJ8pX4wrMrQgLBpPTfiqIWbPb6+167oPDJh1V8NPlKENTclAApALdxg +Z+Qe3yD5+QHCrLnsaWLz1X30vZL+7CcHo7GL5y/ef5uIMZ+36mHVnl/56xOq +omMAiVGfRqyNqVL5Djz1ya8rz9dCBwYoC1pxyFgjfLTIOslsSD556veog5s/ +9Vp/s/ldU4MQU73NLJdnk9H/qDJ8kq7WaG3dyQcq+t5vmQ2Z8X+Xdii+c8Uh +FyYl5DRjNHn0sgOL9pXQBT5VjvCik3dTjpxccaLKGdJenHD2LhGzl6Q0JcML +vZToJfs+PVAmWAUBUAxG+S+Ohn1Mqc16/seaP2u7KjJCf9XQ0duAkDI/G2O+ ++P9aUfc7Vs0pZ8Oxm+LX2o+0XptNFrlvdjb+s3XlGaXpH9JKjgbuymhBOdww +KsM9lwhcSlem8NjJlSsnV3RUOUPotbeS7rxidT90WFtJEfpKJSsZXmilRMpc +7BlRKWqHBUAOOknlWRdPRqVlXDkRti88Lhe1x8esPupkNCG0TPTew6g86u2z +N4u3IrOb0/cGOOhqGc3++ZHwZVnmi0tb55ppvWcbsGXV5FHDtS2WRJSh3yvp +wiGmBrptKECf0lustRAPh/Ls5oVjYXsPnk3JSjzz1wvsfRBpzQx0/TZHqNnj +NF33ct7ymPcalpKFx0qubDlFRZWcyPys+oSg8fbjJ3ZxnPTxT8WC9VBkyXAl +WSPxyVRK1MebnecmNyvX+RIYZCgPgt0NNdXU1LUMbB1xBppq6qM9Y+t4d6zO +5txrqWUlx13GeJyqEXlZldWUeyX2yDpXC+fvc9okvt3eJzbh0kyH5Xloe3Df +ayEuFiH5+5mWVrM2hkeFB1lrq410FrnSSGv6QgefWy0Ceym9ZJeTC981OaUL +j5Fc6XJiR5WUjPlFlIzEayQWmUuJUbHf5cM9pXAdC/Qndv0FNz0Ns6VJhE4u +JW+VpaaGRSDvcyidhEsLLEfbTvfZeb1BVP2lPIrw8z1a1IHQS0MdzWddb5J7 +E9JeEIBzOV6NGqKvteDRSW5oYmAcjDqK9nw4apRz2FMqwqUV78Bp60wK774M +gD1SgF6622lisOAzZpR8/w9cTvDu7woM37VxqM8L6wTHcqInV2BOhPL4zJ5N +Xy6chl9xrpavs40eVWIS5EchomQkLPl3+rmUWDUn8GODVPyhMqDkOI1Jswy6 +9qrXg/nIuQHmGrpTY2ol7lgyysNcHNb1PGtFzllk99Ef9XK/+0m6/YnVNPRH +wcRfC1ZtNF7f/HPUriS7MdHLUMN4QXJ368co/9XxvRHjf3xGFzlSgFl12Bm3 +okBgLyVnL7TB/84bQGHhEQahIHYpzvWsYG8bPbniCplDKcup7/qXVX3847n8 +j4yjR+V2d28S1/xnpoAFG3Pa0A7LMlZ1zJKRuOTf6PdS6qyNnmq/NBfzshsA +MkOIKd7GGsbzU4gIF2lJ9zfXNvFJfCnxXcuuM3xXC/e/Xlforp7ejCn89wDk +g5Lra4+PQhvULslasEmFaXeeo3YLydmLTNV1ep4WYFUfmzJSy75nPUSMFGCU +hTpN2FgksLaUvM/s8Xzj7xUX/vWhxX2G0HEMI7kCc77Gqk/efSiXxHcGix5V +QrJWdcySkbjk3+rvUmLVnMTjlqM0vADICULK8jUbrjP5UAWtvezCShs926Cr +BClOHhBi6jwrl1NduxdCfXLA6/M/XvTDc+jMqkj8xE0oxxF5rQUpy9tYfbj+ +tO2/x0eFLDDT1LQSGMGCMlKAkr98vEcCQeBARHuybdLUw1U8FxkUGR79OIae +XLGFzGrKjd0yz97KO/o57wUa9KiSkTk/ZslIXPJikEspMSsj8E47hJ4IAEBu +KHlBFlojzOxM9fQMrF2/OJjeKOWRH+l4HOnntS7yXHTEvvNFFPnfRu/GqAhz +80AZkCKvtUDI90LnWuuO0LdxX+LnOErTPOB/PCNYUEcKMMrD3LyEDxFswkVP +/OurDsoQHvU4hpFcwYX8Om71sRme51/0JsOKKhHZ82OVjKQlLw65lBLt6Xbn +mVde9s/OCACX2/HwGxstvemXZOvdDRwO6W7I0nDBTpX81wJpu/PFGC3TRenv +RrCgjxRAKPd+9P0F5SFlLq1458dB+XxXoBUXHuU4hp1cgTnfBmj8229D78Ag +EVElII/86CXTS6ySl5AspUTOXjZ9J5yCgH5DLdxqr63TxyhBJcOoSz4ak8Xb +f5T/WrBfXfM21jCcc+Pt82ToIwUYdSknj6W9RO/KdjzctuA3wSH2CgmPchwT +mVxROVkv4vy9/H6Ivpx48XLvBAJ9RRWTvPILl0wvcUpeUrKUErPy8MLgh9K8 +RxuAPrHq4vxdTLTVhg0fifPa8VCVntdAmMS3L/mV/1owa6L9P7LWUR+mpm3t +Gy/qvYgc+isS1ruGud2DhPf7/iY8AHPgw7Naii4usx23/p9SMlus5ArKiUqc +qH2Rc36ekuklZslLRMZSYladDjhYAmcgAKgmdvOtHcHpzXAVGigAp+XOTz+k +NavI5WkAgDBO2/1zfxTB/CBgoCHtTy/GPeiH90IAAAAAAAAAgOzYr5L/u+me +Kt0LBQAAoBzY9Rfm+qj0tL5AMeYAAIaA6upqEccBaEEAAABIpPe9lO4OBkZT +PES+lxIAAAAQBucgAAAApAMtCAAAAOlACwIAUBSsCRyxJ3YEAAAAuNgTOIqY +2BEAAADgYk/gKGJiRwAAAIAHygSOIj8HAAAgLWZDZvzfpR3v7g8gtMr4zbPH +mega2M3YEFeBOn22JBB6XcaxOcaauo5BIT/v3rl59ZLZ81fvT35O57lTQS5M +Sshplm3yv54vQ5vAUcTnAAAApNXZ+M/WlWd4e+a0Z4e3nMp/xWS1PDi16H39 +KRGVMk/mxGm6PtvIeH4KsafNYDclf22ja73qFpHnna20kqOBuzJaZJuCHHUC +R+zPAQAASI1DTA1021DA+yo7VmNWxss3bQa1aKO9xafZZNS/FR/SkuZjajTr +r8Z3DQaj4sBEHaN5Ga28v9WaGej6bQ5Z1ClPJ6k86+LJqLSMKyfC9oXH5fKd +taBP4Ij9OQAAAOmxCZdmOizPw3wXavv91RPco2tlndm17a6fuYH7hfrevj+r +5sSUkQafpLXw/hrSmr7QwedWC1YTQnkQ7G6oqaamrmVg64gz0FRTH+0ZK8vU +3wAAAKTWXhCAczlejdFCIKS7672+y5b55USU/FWWo/G8DRFCTF1grOsUWcV/ +fYxeuttpYvATzHMEdv0FNz0Ns6VJhE4uJW+VpaaGRSA8WgUAAApBuv2J1bT4 +BtT7Apy23APbYsvQ76P3vgqPB8ar8DoK19vqTz70b29rwSZcnmNsOPPcC4Hz +B2bVYWfcigKsNoHTmDTLoKsBySR1fQs5N8BcQ3dqTC2cgwAAgCJQcn3t8VHP +hc9BEFplQnjsY3nMi0sr3oHTd9hb9u5ePbs5ZY2tqWdkqdC5BqMs1GnCxiIq ++oIQYoq3sUbP/XikJd3fXNvEJ/El3BUHAACFYFZF4iduEjpkM1/cOBJzr2dy +a05b8fVUgvRPY9FL9zjo47Y/7WkuOO3F8RvcJvjszyahHPop+cvHeyQQ0BsF +hJTlazZcZ/KhClp72YWVNnq2QVcJcAICAACKwqgIc/Pgv1XedYrw7fj31Ia9 +oabj9Nu/UjYgzMb8awe8TTW1LZd9vy80dM+OjV99uSni2lMyehvBKA9z8zqL +dWuckhdkoTXCzM5UT8/A2vWLg+mNst7gBwAAIAsO6W7I0nBleMAVodz70feX +R+0YF846Hn5jo6U3/RLGGQoAAAAFYNQlH43JUnCPnlGXcvJY2kvMENTCrfba +OpMjpT0dAgAA0D8QJrGFqci3nnPor0iYAVh1cf4uJtpqw4aPxHnteIg5egUA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGDw +QdiKfEkUAACA/tFJzL9xqxp98lWxcTrKb954IDzLUWfTzV3L3MeN879NgjYE +AAAGGerjLTiTGadRZmaVALvhT1fjD7551CH8I3K2v6XFZ5nQgADF4bQVRK7z +8Zhg9+GKUyVUqIoAyA/CbJX9TeQIq7W+HW2uovYHa+2sPr9ZfON89OnTMQl5 +rYNgQiNGXVpSsTymPAcDg17z57mHZA6XWXPG84OFmSRF55ENQilOSqtjKDoG +AFxm/ZWQZW64Sd89kWFOPTYx62c/lzHvz05q5Aj9kPZk6zgbv5v3opdM8Q6J +v1vaovIzqSLtRUeCr9Sr/HoMJQib1nMjjlq42ePre+2KziMrVv3V4CNFWLNP +AjBQEGbNZU8Tm6/uy7ZPUQs32Bm5xzcIn17Qn/3kYDR28fzF+28TMabrVjGs +2vMrf31CVXQMIA3q04i1MVWDofdOffLryvO10I0BioUQU73NLJdnk/v4PWZD +8slTv0cd3Pyp1/qbzYINBa04ZKwRPhqlPjMrwyfpao3W1p18oKLv/ZbZkBn/ +d2mHgntWHHJhUkJOM0Z7Ry87sGhfCV3gU+VIzu0rfDcViipnSHtxwtm7RMyr +qEpTMgLQC4pesu/TA2WCFRGAgYSQMj8bY774/1r72GtYz/9Y82dtVxVG6K8a +OgR3QUb5L46GqBNus2pOORuO3RS/1n6k9dpssshv6Wz8Z+vKM8rRP6SVHA3c +ldGCcqxhVIZ7LhG4jq5MybmiwqtUVDlD6LW3ku68YnU/NVhbSRF+ZlC5SkYA +WkGRMhd7RlQOglnukU6la7TBW52k8qyLJ6PSMq6cCNsXHpfL25FhN6fvDXDQ +1TKa/fOjvq6oMiqPevvszULd15nVR52MJoSWCe58zBeXts4103rPNmDLqsmj +hmtbLIkow7zbwiGmBrptKECfsVvUWkiIQ3l288KxsL0Hz6ZkJZ756wXGDoi0 +Zga6fpsj1OZxmq57OW95zHsNS8mSiwivSlElJzI/qz4haLz9+IldHCd9/FOx +YD0UWTJcSdZIIjIVFPXxZue5yc0qfPRFmITsM9vmT12S3aboKAAN5UGwu6Gm +mpq6loGtI85AU019tGdsnRQHBlZT7pXYI+tcLZy/z2njuVne2Zx7LbWs5LjL +GI9TNbI9DEy4NNNheR7aHiy3teCyCMnfz7S0mrUxPCo8yFpbbaQzdmqkNX2h +g8+tFoH9k16yy8mF74Kc0iXHDq9CUSUlY34RJSPxGolL5oJiVOx3+XBPqepe +x0IYTfWE+9tw5vPuQguinNj1F9z0NMyWJhE6uZS8VZaaGhaBkj6HglAeRfj5 +Hi3qQOiloY7ms643vWtCOgmXFliOtp3us/N6g4y7VHtBAM7leDXqUiRYi05y +QxMD42DUUbTnw1GjnMOeUhEurXgHTltnUnjPNQCE+rywTnBAJb10t9PEYMFH +1Cj5/h+4nODd0xWYHHuMA3p4BUZFKI/P7Nn05cJp+BXnavl62uhRJSZbVRdR +MpIX/jv9XFCsmhP4sUEq/lwZo/xXRwtoQZQUpzFplkHXXvV6MB85N8BcQ3dq +TK1kHUtGeZiLw7qeR7XIOYvsPvqjvj9ufZJuf2I1De1ZLknWglUbjdc3/xy1 +K8luTPQy1DBekNzdAHZX2/dGjP/xGb2rH0QoiF2Kcz0r2GFlVh12xq0oENg/ +ydkLbfC/8367wpKLGuOAHl5xUTmUspz6rn9Z1cc/nsv/zDd6VG53/yRxzX9m +CliwMacN7ZgsY1XHLBlpCn+gCqqzNnqq/dJczCtvKgFaECWGEFO8jTWM56cQ +ES7Sku5vrm3ik/hSsruWXaf3rhbuf72uyl3dvBlT+O8ByA0l19ceH4U2LF6S +tWCTCtPuPEd9PQs5e5Gpuk7P7X5W9bEpI7Xs365K167pPkOoBWGUhTpN2Fgk +sLaUvM/s8XzD9xWXXMQYB4zwCizk11j1ybsP5ZL4Bg2hR5WQrFUds2SkKfy3 ++rugWDUn8bjlKG2vKoEWRHkhpCxfs+E6kw9V0NrLLqy00bMNukqQ9PwBIabO +s3I51bVvIdQnB7w+/+NF/zyBzqyKxE/chHIckctadCFleRurD9eftv33+KiQ +BWaamlbvxsCgtyCU/OXjPRIIAkch2pNtk6YeruK5vKDI5D1Qxjigh1dsVFZT +buyWefZW3tHPea/OoEeVjMz5MUtGmsIXg1wKilkZgXfaIfRQgGqBFkR5UfKC +LLRGmNmZ6ukZWLt+cTC9UZqDP9LxONLPa13kueiIfeeLKMJjzuWEURHm5oEy +okQ+a9G1HuR7oXOtdUfo27gv8XMcpWke8L+3Y2BQWxBGeZibl1Cz0nVOdtET +//p6gzIk52KMccAIr+Co3ZjVx2Z4nn/RmwwrqkRkz49VMlIUvjjkUlC0p9ud +Z1552W+75ICAFkRpdTz8xkZLb/ol2Xp3A4dDuhuyNFywRyX/tUDa7nwxRst0 +Ufq7MTAoLQhCufej7y9ozzjTind+HJTPd+1ZccnRxzhgh1dg1LcBGv/229A7 +MEhEVAnIIz96yfQSt/AlJEtBkbOXTd+p4qcgr8eSQQuijKiFW+21dVCH+Skt +Rl3y0Zgs3v6j/NeC/eqat7GG4ZwbvY+UCbUgjLqUk8fSXqL3Yzseblvwm+D4 +eoUkRx/jIDK8wqK+iPP38vsh+nLixcu9MwD0FVVM8sovXDK9xCx8SclSUMzK +wwuDH6K8C1t1sJofp4Z7Go4c+93V/Cqqap9MDSqsujh/FxNttWHDR+K8djxU +pYc1ECbx7WuC5b8WzJpo/4+sddSHqWlb+8a/eTUiq6Xo4jLbcev/KSW/2WE5 +9FckEa8qppXs9/1NaPikApKj6iO8qkXti5zz85RML/HXSCIyFhSz6nTAwRIV +PwMBYAhiN9/aEZzeDF0moDCcljs//ZAm9II6AIAK4LTdP/dHEcwPAhQDaX96 +Me5BG/RhAAAAAAAAAAAAAAAAQ9ocAMDQUF1dDUcMKcil3AAAYPCR6NWUAAAA +AAAAAAAAAAAAAMAQhDUTnxgz9AGgGFiVE3v+RwBAf8Caia/vGfoAUBCsyili +/kcAQH/AmolPjBn6AFCMPion2vyPAID+hDUTn3Qz9AEwANAqJ8b8jwAoF2ZD +ZvzfpR3vLsEitMr4zbPHmega2M3YEFeBOne2JBB6XcaxOcaauo5BIT/v3rl5 +9ZLZ81fvT35O57lTQS5MSshplm3yv54vw5iJT+oZ+oBSGhKVtpvQ/I8AKJPO +xn+2rjzD2/mhPTu85VT+Kyar5cGpRe/rT4molLkDxGm6PtvIeH4KsWf3Yzcl +f22ja73qFpHn7JxWcjRwV0aLbFOQY8zEJ5cZ+oDSGBKV9m0M/vkfAVAmHGJq +oNuGAt65jliNWRkv3+x+1KKN9hafZpNR/1Z8SEuaj6nRrL967wcyKg5M1DGa +l9HK+1utmYGu3+aI3Fc6SeVZF09GpWVcORG2Lzwul68DiDUTn3xm6APKYmhU +WtT5HwFQKmzCpZkOy/MwJ8trv796gnt0rawT3bXd9TM3cL9Q37sfsGpOTBlp +8ElaC++vIa3pCx18brVg7Y2UB8HuhppqaupaBraOOANNNfXRnrF1cHo/xECl +BUBJtBcE4FyOV2PsbAjp7nqv77JlfjMRJX+V5Wg87z6NEFMXGOs6RVbxX2qg +l+52mhj8BPMcgV1/wU1Pw2xpEqGTS8lbZampYREIj1YNNVBpAVASpNufWE2L +b0A9R+a05R7YFluGfktSkvfgdRSut9WffOjf3h2PTbg8x9hw5jnB24PMqsPO +uBUFWLsXpzFplkHXvphJ6voWcm6AuYbu1Jha6M4NMVBpAVASlFxfe3zUc+Hu +HEKrTAiPfSyPqXFpxTtw+g57y97d9mQ3p6yxNfWMLBXqtjHKQp0mbCyioi8I +IaZ4G2v03NpEWtL9zbVNfBJfwhXioQYqLQBKglkViZ+4Saj2M1/cOBJzr2dm +a05b8fVUgvQPttBL9zjo47Y/7dnzOO3F8RvcJvjsz0a7OUjJXz7eI4GAvn8h +pCxfs+E6kw9V0NrLLqy00bMNukqAvtzQA5UWAGXBqAhz8+C/69jV2/p2/Htq +w95Q03H67V8p90VmY/61A96mmtqWy77fFxq6Z8fGr77cFHHtKRl9d2OUh7l5 +ncW6y0jJC7LQGmFmZ6qnZ2Dt+sXB9EZZ75UC1QSVFgBlwSHdDVkargwPuCKU +ez/6/vKoHeMaRMfDb2y09KZfwujsgSEEKi0AyoNRl3w0JkvBnSNGXcrJY2kv +MUNQC7faa+tMjpS2ZwkGF6i0ACgPhElsYSpy1CuH/oqEGYBVF+fvYqKtNmz4 +SJzXjoeYAwHAkAKVFgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAADDIIG6Y6BgAApdVJzL9xqxp9ehmpcDrKb96QdZbizqabu5a5jxvnf5sE +bQgAACgn6uMtOJMZp1HmnpESu+FPV+MPvnnUIeNyyNn+lhafZUIDAgAASgth +tsr3XWsIq7W+XeY3M7c/WGtn9fnN4hvno0+fjknIaxWxREZdWlKxPGZZAwAA +ICZm/ZWQZW64Sd9hT3kvGTYx62c/lzHvz05q5Mi2JNqTreNs/G7ei14yxTsk +/m5pC+Y5EtJedCT4Sj1MQgMAAAMJYdZc9jSx+eo+1oz3kqMWbrAzco9vkPEc +hP7sJwejsYvnL95/myh6fktW7fmVvz7BmHB5ACGdcA4EABhKEGKqt5nl8myy +3JZIKw4Za4Tnn0xTCszK8Em6WqO1dScfqGCI/E162YFF+0rogn/fkBn/d2kH +/zEdoddlHJtjrKnrGBTy8+6dm1cvmT1/9f7k53TZDv0Ik5B9Ztv8qUuy23o+ +4JALkxJymkU0fKjxBpyq5OQOsqhiQWiV8ZtnjzPRNbCbsSGuAuNBF+VY60G1 +dVQoquIhpMzPxpgv/r9WuRUXo/wXR0PZpxdj1ZxyNhy7KX6t/UjrtdlkEfEY +leGeSzJJfJ91Nv6zdeWZKpSWh9N0fbaR8fwUYs8S2U3JX9voWq+6RZThkhvC +aKon3N+GM593t+3dh7SSo4G7MlpQT8Sw4w08VcnJHTRRxV3Es8NbTuW/YrJa +Hpxa9L7+lIhK4V1KmdZ6kGwdFYo6MDpJ5VkXT0alZVw5EbYvPC6Xt0FjN6fv +DXDQ1TKa/TPmjMViLuodZvVRJ6MJoWV9bgFRS2O+uLR1rpnWe7YBW1ZNHjVc +22JJRBnWbZquJsHLectj3mtYHGJqoNuGArTpzZCWNB9To1l/9d6jYVQcmKhj +NC+jta/AojHKf3W04G1BuEhrZqDrtznCjZ+IeGIWsng4lGc3LxwL23vwbEpW +4pm/XmC06aqSc5BE5cF+lfzfTfcwZuFjNWZlvHyzfGrRRnuLT4WuEyjZWg+G +raNCUQcE5UGwu6Gmmpq6loGtI85AU019tGdsnVTr3feiOptzr6WWlRx3GeNx +qqaPS1hyDEYv2eXkwnehi024NNNheR5qLWi762du4H6hvrdNZ9WcmDLS4JO0 +Fmm+vJdwC9K17dMXOvjcahHY9iLiya9YWITk72daWs3aGB4VHmStrTbSGXub +qErOQRGVL3b9hbk+AmfPqNrvr57gLnRdWOnWWvW3jgpFHSBdddRNT8NsaRKh +k0vJW2WpqWEReE+6e+Z9LaqTcGmB5Wjb6T47rzf0fQtEfsEo+f4fuJzg3QTt +BQE4l+PVaCEo+assR/Pdo0GIqQuMdZ0iq2S86obSgnDppbudJgYLPuQmIp4k +xdJJbmhiYNSqjqI9H44a5Rz2lIpwacU7cNo6k8J7roEg1OeFdYJX1JUuJ6et +IHKdj8cEuw9XnCqh8v6x0kVFKI/P7Nn05cJp+BXnavnqEHpUgWjitCAI6e56 +r++y2wSTQUXqM+cQqUj9h9OYNMuga6Vfj8kj5waYa+hOjamVqqsvx0XJd2nk +7IU2+N95/5Z0+xOraaiPgnUUrrfVn3yI5x4Nm3B5jrHhzHMv0L+7k5C45j8z +BSzYmCO0N6O2IMyqw864FQUCtQw7ngTFwqqNxuubf47aW2I3JnoZahgvSG7i +9OR6b8T4H5/RuQiDUBC7FOd6VrDnpGQ5ufSaP889JHO4zJoznh8s5DvEKltU +DqUsp77rX1b18Y/n8j+/jh6Vy1up3B0MjKZ4YFeq1yvQlntgW2wZyn10qEh9 +5Bw6Famvo5O0EGKKt7FGz21jpCXd31zbxCfxpVQ3ZeS4KDkvjZL3mT2ebzw9 +JdfXHh+FMsK+u8nXd9jbe4+G3ZyyxtbUM7JU9vYdrQVhlIU6TdhYJPCYMWY8 +iYqFTSpMu/Mc9fkccvYiU3WdnocZWNXHpozUsn97n6irMrrPENrxlS0nwqb1 +vAuNWrjZ42u+fp6yRX2DVZ+8+1Auie9pDPSofF/Y5zkIQqtMCI99jD5SFipS +XzmHSkXqLwgpy9dsuM7kQxW09rILK230bIOuEqQ7a5DjouS9NNqTbZOmHua9 +CMWsisRP3CRc4vTSPQ76uO1Pe5oLTntx/Aa3CT77s2V8fVeP7kfQBFsQSv7y +8R4JBIHFY8WTW7GQsryN1YfrT9v+e3xUyAIzTU2rd6N90Hd85cvZg/o0Ym0M +/1MxyhiV1ZQbu2WevZV39HPeqw/oUXn11YIwX9w4EnOv7fXhhNNWfD2VwHd1 +AypS3zl7DPaK1F8oeUEWWiPM7Ez19AysXb84mN4o9RANOS5K3ktjEy564l+f +CL7DqAhz8+C/8chszL92wNtUU9ty2ff7QkP37Nj41ZebIq49Jctlu7CaH6eG +exqOHPvd1fwq6tsOBKM8zM1LaC9DjfeavIoFId8LnWutO0Lfxn2Jn+MoTfOA +/719igd1x1fCnN0/bS9OOHuXyL99lDNqN2b1sRme53kuhmJF5SGyBek6P/52 +/Htqw95Q03H6TfAJeahIfebkDomK1E86Hn5jo6U3/ZIcGi85LkruS+PSind+ +HJTPd9GRQ7obsjS8WCH3nt5CKPd+9P0F9Slp9HhyLpbuCG13vhijZboo/d1o +H5QdXylzIvTaW0l3XrG63/JcW0lhK3HUtwEa//bb0DtuSURUOYKK1FdOqEjS +oxZutdfWkX1on3wXJfelcbs377YFvwmOW2fUJR+NyZLpVEkWjLqUk8fSXmJ+ +vXA8uRcLl/3qmrexhuGcG03vLqsK7fhKmZNVnxA03n78xC6Okz7+6c3urJxR +X8T5e/n9EH058eLl3tkM+ooqR1CRROSEiiQtVl2cv4uJttqw4SNxXjseYoxZ +GuhFyX1pb9FK9vv+JjyGEWES5fvGYfFx6K9IfX01Tzz5FwuzJtr/I2sd9WFq +2ta+8W/eOclqKbq4zHbc+n9K3168U86cqAZZVDmCioSVE9Ugiwrkgd18a0dw +erOM7wIGAAAwFHHa7p/7owjmBwEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +oAf2y/mBSoINOsjABgVKTMTL+YEqgg06yMAGVQSEUpyUVqcs87ArMxEv5weq +CDboIAMbVDFY9VeDjxQp4mWJqgnl5fxAlcEGHWRggw406pNfV54Xfoc8EIb6 +cn4ezIbM+L9LO5SrOeaQC5MScppFvJFfaWL3HVXOYIP2L9igYlKVbYqek16y +79MDZXT0PwFvob+cv1dn4z9bV55Rys4PreRo4K6MFtT9Sslii4oqZ7BBBwJs +UDGpyjZFy0nKXOwZUSm3t8Wrqk5SedbFk1FpGVdOhO0Lj8vla2nRX87fi0NM +DXTbUID5umQO5dnNC8fC9h48m5KVeOavF/IobfGXibRmBrp+m0MW6sGIjC2y +QAY8quRggwqADTrAG1SixarKNkXJSX282XlucrPSndoNJMqDYHdDTTU1dS0D +W0ecgaaa+mjPWPEnY2QTLs10WJ6HvpFZhOTvZ1pazdoYHhUeZK2tNtL5VI2s +Vw0lXCbSmr7QwedWi8A2FhFbxgKRe1RJwQYVABt0YDeo5ItVlW0qnJNRsd/l +wz2lQ/s6Frv+gpuehtnSJEInl5K3ylJTwyJQ/Ac62gsCcC7Hq9HKvKNoz4ej +RjmHPaUiXFrxDpy2zqTwnhM+hPq8sI6GtWN1khuaGBg/xFom9iPx9NLdThOD +nwh0zETElqRApImKUB6f2bPpy4XT8CvO1fL1dtCjSmxQbFBJS0mBG1TSuiex +Ad+gYgwwGeTbFKNKC+Vk1ZzAjw0a2s+/cRqTZhl0bYpMUldpkXMDzDV0p8bU +it2ak25/YjUtvkH4Iia7MdHLUMN4QXL3BJCM8l8d3xsx/sdndC7CIBTELsW5 +Yk06z6qNxuubf47a88BapqhH4plVh51xKwoEtjFmbEkKRKqoHEpZTn3Xv6zq +4x/PTWrknU4LPWqXTkLimv/MFLBgY04b2n4xKDaoxKWkuA0qcd3jKvkGFWOA +ySDfpphVWihnZ230VPuluXKapVUlIcQUb2MN4/kpRISLtKT7m2ub+CS+FP/2 +HyXX1x4f9Vy4n0DOXmSq/mZSYlb1sSkjtey3PKa+/pHQ7Mx82KTCtDvPUTu0 +mMsU8Ug8oyzUacLGIqqYsSUqEGmivsGqT959KJfENx8jelQJDY4N+ob4paS4 +DSpx3ZPQwG9QMQaYDPJtilWlhXKyak7icctR+ghDBkLK8jUbrjP5UAWtvezC +Shs926CrBEkuJzKrIvETN6HsJKQsb2P14frTtv8eHxWywExT0+qr++1v/0bU +AUcEEcvsgfJIPCV/+XiPBIJA7cKMLXOBiBOV1ZQbu2WevZV39HPek3n0qJIZ +RBtUolJS7AbtJnbdk4xCNmgP6QaYDI5til6lhXIyKyPwTjuEHl4YQih5QRZa +I8zsTPX0DKxdvziY3ijpfTRGRZibR7TwsBqEfC90rrXuCH0b9yV+jqM0zQP+ +R37zI6kPOCKWycV4JJ5RHubmhfJdWLFlLxBxonZjVh+b4Xn+RW8yrKgSGUwb +9PWixS0lxW5QieqeRBSyQbl9DzDBNDi2KWqVFs5Je7rdeeaVl3wnVENKx8Nv +bLT0pl+SpZvEId0NWRqO3QwjbXe+GKNluii99e2JpNQHHBHLRH8kHqHc+9H3 +l0dobx5Ajy2PAukr6tsAjX/7bch+92igiKgSGDwb9G0YsUtJcRtU4ronAcVs +0L4GmIhFpbcpSpVGy0nOXjZ95xA+BaEWbrXXfnMdUBaMuuSjMVnoHQH2q2ve +xhqGc240vWuoZT7gCC0T/ZF4Rl3KyWNpLzH7J8Kx5VUgoqK+iPP38vsh+nLi +xcsPSG/3gb6iimnwbFCpSkkxG1SquicmhWzQvgaYiEeVtylKlUbNyaw8vDD4 +YYe8cqgWVl2cv4uJttqw4SNxXjseyvo0AcIktjAFexHMmmj/j6x11IepaVv7 +xtf3lD6rpejiMttx6/8pJUvTh0BdJioO/RVJKBJ2bDkXiNyj9gU2qEBs2KB8 +xN+gslP1bSpcpVFzMqtOBxwsGbpnIAAAAKTDabnz0w9pzQPx2hoAAACDCNL+ +9GLcg7ahew8dAAAAAAAAMPj8P7+ytt4= + "], {{0, 210}, {534, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], Selectable->False], @@ -771,7 +771,7 @@ auNAvLYGAADAIIK0PouLedgydO+hAwAAAAAAAAaf/wdDJbXa ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[3]=", - CellID->106988702] + CellID->306452316] }, Open ]], Cell[CellGroupData[{ @@ -925,7 +925,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 59.944440}", + "built" -> "{2020, 6, 20, 19, 3, 29.766452}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -956,19 +956,19 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6418, 201, 388, 15, 31, "PrimaryExamplesSection", + Cell[6418, 201, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2045865683]}, + CellID->380288136]}, "RasterizedOutput"->{ - Cell[12427, 452, 19066, 321, 223, "Output", + Cell[12427, 452, 19106, 321, 223, "Output", CellTags->"RasterizedOutput", - CellID->106988702]} + CellID->306452316]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 36459, 957}, - {"RasterizedOutput", 36603, 961} + {"PrimaryExamplesSection", 36499, 957}, + {"RasterizedOutput", 36642, 961} } *) (*NotebookFileOutline @@ -982,23 +982,23 @@ Cell[3867, 112, 808, 23, 102, "Usage", Cell[CellGroupData[{ Cell[4700, 139, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->702361445], -Cell[5441, 165, 31, 0, 70, "SectionHeaderSpacer"], + CellID->296209834], +Cell[5441, 165, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5497, 169, 109, 3, 70, "Input", +Cell[5497, 169, 109, 3, 27, "Input", CellID->131732672], -Cell[5609, 174, 748, 20, 74, "Output", +Cell[5609, 174, 748, 20, 75, "Output", CellID->1788246199] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6418, 201, 388, 15, 31, "PrimaryExamplesSection", +Cell[6418, 201, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2045865683], + CellID->380288136], Cell[CellGroupData[{ -Cell[6831, 220, 195, 6, 26, "ExampleSection", - CellID->819768586], +Cell[6830, 220, 196, 6, 26, "ExampleSection", + CellID->1709125748], Cell[7029, 228, 658, 24, 58, "Notes", CellID->76274125], Cell[CellGroupData[{ @@ -1018,26 +1018,26 @@ Cell[11057, 398, 847, 31, 62, "Notes", Cell[CellGroupData[{ Cell[11929, 433, 495, 17, 27, "Input", CellID->1616776154], -Cell[12427, 452, 19066, 321, 223, "Output", +Cell[12427, 452, 19106, 321, 223, "Output", CellTags->"RasterizedOutput", - CellID->106988702] + CellID->306452316] }, Open ]], Cell[CellGroupData[{ -Cell[31530, 778, 346, 11, 27, "Input", +Cell[31570, 778, 346, 11, 27, "Input", CellID->663614938], -Cell[31879, 791, 2051, 85, 38, "Output", +Cell[31919, 791, 2051, 85, 38, "Output", CellID->1731509272] }, Open ]] }, Open ]], -Cell[33957, 880, 31, 0, 29, "SectionFooterSpacer"] +Cell[33997, 880, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[34025, 885, 270, 12, 31, "SeeAlsoSection", +Cell[34065, 885, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[34298, 899, 195, 8, 56, "SeeAlso", +Cell[34338, 899, 195, 8, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[34508, 910, 23, 0, 41, "FooterCell"] +Cell[34548, 910, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CV.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CV.nb index 72a63bdb7..0ad2ad308 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CV.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CV.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12772, 458] +NotebookDataLength[ 12716, 457] NotebookOptionsPosition[ 9456, 356] -NotebookOutlinePosition[ 11583, 413] -CellTagsIndexPosition[ 11498, 408] +NotebookOutlinePosition[ 11527, 412] +CellTagsIndexPosition[ 11442, 407] WindowTitle->CV WindowFrame->Normal*) @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$54958], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$55063], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CV", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1120866059], + CellID->2103846255], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1034892246], + CellID->2083025203], Cell[CellGroupData[{ @@ -356,8 +356,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CV", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -369,7 +369,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 3.622913}", + "built" -> "{2020, 6, 20, 19, 3, 33.037372}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -389,8 +389,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -402,12 +401,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4532, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1120866059]} + CellID->2103846255]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11354, 401} + {"PrimaryExamplesSection", 11298, 400} } *) (*NotebookFileOutline @@ -420,10 +419,10 @@ Cell[4012, 112, 495, 14, 102, "Usage", Cell[CellGroupData[{ Cell[4532, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1120866059], + CellID->2103846255], Cell[CellGroupData[{ Cell[4945, 149, 196, 6, 26, "ExampleSection", - CellID->1034892246], + CellID->2083025203], Cell[CellGroupData[{ Cell[5166, 159, 121, 4, 27, "Input", CellID->236026604], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CVD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CVD.nb index f31205c98..fe8c59f9c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CVD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CVD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12721, 458] -NotebookOptionsPosition[ 9453, 357] -NotebookOutlinePosition[ 11531, 413] -CellTagsIndexPosition[ 11446, 408] +NotebookDataLength[ 12716, 458] +NotebookOptionsPosition[ 9452, 357] +NotebookOutlinePosition[ 11527, 413] +CellTagsIndexPosition[ 11442, 408] WindowTitle->CVD WindowFrame->Normal*) @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$54062], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$54167], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CVD", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1178806778], + CellID->407641400], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1091380546], + CellID->1090654593], Cell[CellGroupData[{ @@ -358,7 +358,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"CVD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -370,7 +370,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 1.233768}", + "built" -> "{2020, 6, 20, 19, 3, 30.940231}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -400,14 +400,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4533, 130, 388, 15, 31, "PrimaryExamplesSection", + Cell[4533, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1178806778]} + CellID->407641400]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11302, 401} + {"PrimaryExamplesSection", 11299, 401} } *) (*NotebookFileOutline @@ -418,48 +418,48 @@ Cell[3723, 99, 280, 11, 45, "ObjectNameGrid"], Cell[4006, 112, 502, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4533, 130, 388, 15, 31, "PrimaryExamplesSection", +Cell[4533, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1178806778], + CellID->407641400], Cell[CellGroupData[{ -Cell[4946, 149, 196, 6, 26, "ExampleSection", - CellID->1091380546], +Cell[4945, 149, 196, 6, 26, "ExampleSection", + CellID->1090654593], Cell[CellGroupData[{ -Cell[5167, 159, 122, 4, 27, "Input", +Cell[5166, 159, 122, 4, 27, "Input", CellID->236026604], -Cell[5292, 165, 484, 21, 40, "Output", +Cell[5291, 165, 484, 21, 40, "Output", CellID->276595871] }, Open ]], Cell[CellGroupData[{ -Cell[5813, 191, 146, 5, 27, "Input", +Cell[5812, 191, 146, 5, 27, "Input", CellID->585918220], -Cell[5962, 198, 709, 30, 40, "Output", +Cell[5961, 198, 709, 30, 40, "Output", CellID->1577923409] }, Open ]], Cell[CellGroupData[{ -Cell[6708, 233, 190, 6, 27, "Input", +Cell[6707, 233, 190, 6, 27, "Input", CellID->921449288], -Cell[6901, 241, 468, 15, 51, "Output", +Cell[6900, 241, 468, 15, 51, "Output", CellID->347562433] }, Open ]], -Cell[7384, 259, 88, 1, 32, "Notes", +Cell[7383, 259, 88, 1, 32, "Notes", CellID->97927264], Cell[CellGroupData[{ -Cell[7497, 264, 195, 6, 27, "Input", +Cell[7496, 264, 195, 6, 27, "Input", CellID->1140711302], -Cell[7695, 272, 835, 37, 40, "Output", +Cell[7694, 272, 835, 37, 40, "Output", CellID->463360865] }, Open ]] }, Open ]], -Cell[8557, 313, 31, 0, 29, "SectionFooterSpacer"] +Cell[8556, 313, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8625, 318, 270, 12, 31, "SeeAlsoSection", +Cell[8624, 318, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8898, 332, 513, 20, 56, "SeeAlso", +Cell[8897, 332, 513, 20, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[9426, 355, 23, 0, 70, "FooterCell"] +Cell[9425, 355, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CVE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CVE.nb index f8b0ab647..b8f8f0278 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CVE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CVE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12943, 464] -NotebookOptionsPosition[ 9615, 362] -NotebookOutlinePosition[ 11753, 419] -CellTagsIndexPosition[ 11668, 414] +NotebookDataLength[ 12890, 463] +NotebookOptionsPosition[ 9616, 362] +NotebookOutlinePosition[ 11699, 418] +CellTagsIndexPosition[ 11614, 413] WindowTitle->CVE WindowFrame->Normal*) @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$54510], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$54615], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CVE", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->343240731], + CellID->1190580570], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1073790585], + CellID->1643278477], Cell[CellGroupData[{ @@ -375,7 +375,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 2.411135}", + "built" -> "{2020, 6, 20, 19, 3, 31.930416}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -395,8 +395,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -406,14 +405,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4537, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4537, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->343240731]} + CellID->1190580570]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11525, 407} + {"PrimaryExamplesSection", 11470, 406} } *) (*NotebookFileOutline @@ -424,48 +423,48 @@ Cell[3723, 99, 280, 11, 45, "ObjectNameGrid"], Cell[4006, 112, 506, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4537, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4537, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->343240731], + CellID->1190580570], Cell[CellGroupData[{ -Cell[4949, 149, 196, 6, 26, "ExampleSection", - CellID->1073790585], +Cell[4950, 149, 196, 6, 26, "ExampleSection", + CellID->1643278477], Cell[CellGroupData[{ -Cell[5170, 159, 122, 4, 27, "Input", +Cell[5171, 159, 122, 4, 27, "Input", CellID->236026604], -Cell[5295, 165, 514, 22, 40, "Output", +Cell[5296, 165, 514, 22, 40, "Output", CellID->805938732] }, Open ]], Cell[CellGroupData[{ -Cell[5846, 192, 146, 5, 27, "Input", +Cell[5847, 192, 146, 5, 27, "Input", CellID->585918220], -Cell[5995, 199, 775, 32, 43, "Output", +Cell[5996, 199, 775, 32, 43, "Output", CellID->2024962651] }, Open ]], Cell[CellGroupData[{ -Cell[6807, 236, 190, 6, 27, "Input", +Cell[6808, 236, 190, 6, 27, "Input", CellID->921449288], -Cell[7000, 244, 468, 15, 51, "Output", +Cell[7001, 244, 468, 15, 51, "Output", CellID->689002991] }, Open ]], -Cell[7483, 262, 88, 1, 32, "Notes", +Cell[7484, 262, 88, 1, 32, "Notes", CellID->97927264], Cell[CellGroupData[{ -Cell[7596, 267, 195, 6, 27, "Input", +Cell[7597, 267, 195, 6, 27, "Input", CellID->1140711302], -Cell[7794, 275, 898, 39, 40, "Output", +Cell[7795, 275, 898, 39, 40, "Output", CellID->1452036350] }, Open ]] }, Open ]], -Cell[8719, 318, 31, 0, 29, "SectionFooterSpacer"] +Cell[8720, 318, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8787, 323, 270, 12, 31, "SeeAlsoSection", +Cell[8788, 323, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9060, 337, 513, 20, 56, "SeeAlso", +Cell[9061, 337, 513, 20, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[9588, 360, 23, 0, 70, "FooterCell"] +Cell[9589, 360, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Calc.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Calc.nb index 4d47e65ef..5e9e687a9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Calc.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Calc.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18204, 685] +NotebookDataLength[ 18145, 684] NotebookOptionsPosition[ 13359, 529] -NotebookOutlinePosition[ 16296, 613] -CellTagsIndexPosition[ 16188, 607] +NotebookOutlinePosition[ 16236, 612] +CellTagsIndexPosition[ 16128, 606] WindowTitle->Calc WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$30796], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$30901], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Calc", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->208222125], + CellID->370579231], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->539573558], + CellID->589881758], Cell[TextData[{ "This calculates ", @@ -530,7 +530,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"Calc", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -542,7 +542,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 56.969401}", + "built" -> "{2020, 6, 20, 19, 2, 35.000517}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -562,8 +562,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -575,7 +574,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4561, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->208222125]}, + CellID->370579231]}, "Calc"->{ Cell[6608, 223, 276, 9, 27, "Input", CellTags->"Calc", @@ -592,12 +591,12 @@ CellTagsIndex->{ CellID->1838519780], Cell[9382, 347, 1205, 52, 39, "Output", CellTags->"Calc"], - Cell[10766, 411, 361, 13, 27, "Input", + Cell[10766, 411, 361, 13, 70, "Input", CellTags->"Calc", CellID->1589340964], Cell[11130, 426, 664, 28, 40, "Output", CellTags->"Calc"], - Cell[11831, 459, 401, 14, 27, "Input", + Cell[11831, 459, 401, 14, 70, "Input", CellTags->"Calc", CellID->1411490249], Cell[12235, 475, 185, 6, 35, "Output", @@ -606,8 +605,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15292, 574}, - {"Calc", 15423, 578} + {"PrimaryExamplesSection", 15232, 573}, + {"Calc", 15363, 577} } *) (*NotebookFileOutline @@ -620,10 +619,10 @@ Cell[4036, 113, 500, 13, 102, "Usage", Cell[CellGroupData[{ Cell[4561, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->208222125], + CellID->370579231], Cell[CellGroupData[{ Cell[4973, 149, 195, 6, 26, "ExampleSection", - CellID->539573558], + CellID->589881758], Cell[5171, 157, 384, 14, 35, "Notes"], Cell[CellGroupData[{ Cell[5580, 175, 141, 4, 27, "Input"], @@ -662,16 +661,16 @@ Cell[9382, 347, 1205, 52, 39, "Output", }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[10636, 405, 105, 2, 9, "ExampleDelimiter"], +Cell[10636, 405, 105, 2, 70, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[10766, 411, 361, 13, 27, "Input", +Cell[10766, 411, 361, 13, 70, "Input", CellTags->"Calc", CellID->1589340964], Cell[11130, 426, 664, 28, 40, "Output", CellTags->"Calc"] }, Open ]], Cell[CellGroupData[{ -Cell[11831, 459, 401, 14, 27, "Input", +Cell[11831, 459, 401, 14, 70, "Input", CellTags->"Calc", CellID->1411490249], Cell[12235, 475, 185, 6, 35, "Output", @@ -679,14 +678,14 @@ Cell[12235, 475, 185, 6, 35, "Output", }, Open ]] }, Open ]] }, Open ]], -Cell[12459, 486, 31, 0, 29, "SectionFooterSpacer"] +Cell[12459, 486, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12527, 491, 270, 12, 31, "SeeAlsoSection", +Cell[12527, 491, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[12800, 505, 517, 19, 56, "SeeAlso"] +Cell[12800, 505, 517, 19, 70, "SeeAlso"] }, Open ]], -Cell[13332, 527, 23, 0, 41, "FooterCell"] +Cell[13332, 527, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CalcColorFactor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CalcColorFactor.nb index 092fc850d..ccac10d39 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CalcColorFactor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CalcColorFactor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11187, 378] -NotebookOptionsPosition[ 7799, 276] -NotebookOutlinePosition[ 10115, 340] -CellTagsIndexPosition[ 9998, 334] +NotebookDataLength[ 11129, 377] +NotebookOptionsPosition[ 7798, 276] +NotebookOutlinePosition[ 10058, 339] +CellTagsIndexPosition[ 9941, 333] WindowTitle->CalcColorFactor WindowFrame->Normal*) @@ -79,7 +79,7 @@ CalcColorFactor.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$30335], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$30440], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CalcColorFactor", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->178534245], + CellID->14090742], Cell["", "SectionHeaderSpacer"], @@ -174,7 +174,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"SUNNToCACF", "\[Rule]", "True"}], "}"}], TraditionalForm]], "Output", - ImageSize->{152, 14}, + ImageSize->{152, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[41]="] @@ -199,7 +199,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->666716832], + CellID->1176073543], Cell[CellGroupData[{ @@ -209,7 +209,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1547004803], + CellID->762098605], Cell[CellGroupData[{ @@ -289,7 +289,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 55.849297}", + "built" -> "{2020, 6, 20, 19, 2, 33.987986}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -309,8 +309,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -320,21 +319,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5823, 186, 387, 15, 31, "PrimaryExamplesSection", + Cell[5822, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->666716832]}, + CellID->1176073543]}, "CalcColorFactor"->{ - Cell[6456, 215, 299, 9, 27, "Input", + Cell[6455, 215, 299, 9, 27, "Input", CellTags->"CalcColorFactor", CellID->1491586567], - Cell[6758, 226, 450, 18, 40, "Output", + Cell[6757, 226, 450, 18, 40, "Output", CellTags->"CalcColorFactor"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9663, 321}, - {"CalcColorFactor", 9805, 325} + {"PrimaryExamplesSection", 9605, 320}, + {"CalcColorFactor", 9748, 324} } *) (*NotebookFileOutline @@ -346,40 +345,40 @@ Cell[CellGroupData[{ Cell[3943, 112, 428, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4396, 129, 738, 24, 31, "NotesSection", +Cell[4396, 129, 737, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->178534245], -Cell[5137, 155, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5171, 157, 229, 6, 70, "Notes"], + CellID->14090742], +Cell[5136, 155, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5170, 157, 229, 6, 32, "Notes"], Cell[CellGroupData[{ -Cell[5425, 167, 98, 2, 70, "Input"], -Cell[5526, 171, 236, 8, 35, "Output"] +Cell[5424, 167, 98, 2, 27, "Input"], +Cell[5525, 171, 236, 8, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5823, 186, 387, 15, 31, "PrimaryExamplesSection", +Cell[5822, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->666716832], + CellID->1176073543], Cell[CellGroupData[{ -Cell[6235, 205, 196, 6, 26, "ExampleSection", - CellID->1547004803], +Cell[6235, 205, 195, 6, 26, "ExampleSection", + CellID->762098605], Cell[CellGroupData[{ -Cell[6456, 215, 299, 9, 27, "Input", +Cell[6455, 215, 299, 9, 27, "Input", CellTags->"CalcColorFactor", CellID->1491586567], -Cell[6758, 226, 450, 18, 40, "Output", +Cell[6757, 226, 450, 18, 40, "Output", CellTags->"CalcColorFactor"] }, Open ]] }, Open ]], -Cell[7235, 248, 31, 0, 29, "SectionFooterSpacer"] +Cell[7234, 248, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7303, 253, 270, 12, 31, "SeeAlsoSection", +Cell[7302, 253, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7576, 267, 181, 4, 56, "SeeAlso"] +Cell[7575, 267, 181, 4, 56, "SeeAlso"] }, Open ]], -Cell[7772, 274, 23, 0, 41, "FooterCell"] +Cell[7771, 274, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CalculateCounterTerm.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CalculateCounterTerm.nb index a37162f7a..5ef87f9b8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CalculateCounterTerm.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CalculateCounterTerm.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7529, 232] +NotebookDataLength[ 7475, 231] NotebookOptionsPosition[ 5168, 166] -NotebookOutlinePosition[ 7088, 216] -CellTagsIndexPosition[ 7045, 213] +NotebookOutlinePosition[ 7034, 215] +CellTagsIndexPosition[ 6991, 212] WindowTitle->CalculateCounterTerm WindowFrame->Normal*) @@ -59,7 +59,7 @@ CalculateCounterTerm.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$31238], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$31343], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CalculateCounterTerm", ".html"]], None}]}]}, @@ -130,7 +130,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->468041515], + CellID->708151047], Cell["", "SectionHeaderSpacer"], @@ -154,7 +154,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"D", "\[Rule]", "4"}], "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{306, 14}, + ImageSize->{306, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[240]="] @@ -167,7 +167,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CalculateCounterTerm", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -179,7 +179,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 52, 58.155752}", + "built" -> "{2020, 6, 20, 19, 2, 35.994088}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -199,8 +199,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -224,12 +223,12 @@ Cell[3238, 91, 420, 13, 85, "Usage", Cell[CellGroupData[{ Cell[3683, 108, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->468041515], -Cell[4424, 134, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4458, 136, 144, 3, 70, "Notes"], + CellID->708151047], +Cell[4424, 134, 31, 0, 14, "SectionHeaderSpacer"], +Cell[4458, 136, 144, 3, 49, "Notes"], Cell[CellGroupData[{ -Cell[4627, 143, 104, 2, 70, "Input"], -Cell[4734, 147, 368, 12, 35, "Output"] +Cell[4627, 143, 104, 2, 27, "Input"], +Cell[4734, 147, 368, 12, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianIndex.nb index 2187a6011..f1d2c9595 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11606, 387] +NotebookDataLength[ 11550, 386] NotebookOptionsPosition[ 7658, 268] -NotebookOutlinePosition[ 10397, 342] -CellTagsIndexPosition[ 10283, 336] +NotebookOutlinePosition[ 10341, 341] +CellTagsIndexPosition[ 10227, 335] WindowTitle->CartesianIndex WindowFrame->Normal*) @@ -81,7 +81,7 @@ CartesianIndex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$32114], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$32219], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CartesianIndex", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1933641052], + CellID->1978337280], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1779288678], + CellID->1703966141], Cell["This denotes a 3-dimensional Cartesian index.", "Notes", CellID->1041402073], @@ -281,7 +281,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 0.531766}", + "built" -> "{2020, 6, 20, 19, 2, 38.003223}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -304,8 +304,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -317,7 +316,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4640, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1933641052]}, + CellID->1978337280]}, "LorentzIndex"->{ Cell[5360, 161, 138, 4, 27, "Input", CellTags->"LorentzIndex", @@ -335,8 +334,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9748, 316}, - {"LorentzIndex", 9888, 320} + {"PrimaryExamplesSection", 9692, 315}, + {"LorentzIndex", 9832, 319} } *) (*NotebookFileOutline @@ -349,10 +348,10 @@ Cell[4035, 112, 580, 13, 119, "Usage", Cell[CellGroupData[{ Cell[4640, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1933641052], + CellID->1978337280], Cell[CellGroupData[{ Cell[5053, 148, 196, 6, 26, "ExampleSection", - CellID->1779288678], + CellID->1703966141], Cell[5252, 156, 83, 1, 32, "Notes", CellID->1041402073], Cell[CellGroupData[{ diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianMomentum.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianMomentum.nb index bd391fd50..636f9b0f8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianMomentum.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianMomentum.nb @@ -10,8 +10,8 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 20670, 745] -NotebookOptionsPosition[ 13481, 504] +NotebookDataLength[ 20669, 745] +NotebookOptionsPosition[ 13480, 504] NotebookOutlinePosition[ 17631, 627] CellTagsIndexPosition[ 17519, 621] WindowTitle->CartesianMomentum @@ -80,7 +80,7 @@ CartesianMomentum.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$32559], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$32664], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CartesianMomentum", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->620582694], + CellID->903341664], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->570090989], + CellID->85305860], Cell["This is a 3-dimensional momentum.", "Notes", CellID->1432666781], @@ -504,8 +504,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CartesianMomentum", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -517,7 +517,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 1.704825}", + "built" -> "{2020, 6, 20, 19, 2, 39.117361}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -551,69 +551,69 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4643, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->620582694]}, + CellID->903341664]}, "Momentum"->{ - Cell[5349, 161, 136, 4, 27, "Input", + Cell[5348, 161, 136, 4, 27, "Input", CellTags->"Momentum", CellID->600679238], - Cell[5488, 167, 331, 13, 37, "Output", + Cell[5487, 167, 331, 13, 37, "Output", CellTags->"Momentum", CellID->1847189121], - Cell[5995, 191, 183, 6, 27, "Input", + Cell[5994, 191, 183, 6, 27, "Input", CellTags->"Momentum", CellID->298033535], - Cell[6181, 199, 210, 7, 37, "Output", + Cell[6180, 199, 210, 7, 37, "Output", CellTags->"Momentum", CellID->1288297410], - Cell[6514, 214, 182, 6, 27, "Input", + Cell[6513, 214, 182, 6, 27, "Input", CellTags->"Momentum", CellID->22007276], - Cell[6699, 222, 268, 10, 37, "Output", + Cell[6698, 222, 268, 10, 37, "Output", CellTags->"Momentum", CellID->1337449591], - Cell[7004, 237, 180, 6, 27, "Input", + Cell[7003, 237, 180, 6, 27, "Input", CellTags->"Momentum", CellID->1076166182], - Cell[7187, 245, 355, 14, 37, "Output", + Cell[7186, 245, 355, 14, 37, "Output", CellTags->"Momentum", CellID->1841511383], - Cell[7579, 264, 129, 4, 27, "Input", + Cell[7578, 264, 129, 4, 27, "Input", CellTags->"Momentum", CellID->1156784400], - Cell[7711, 270, 258, 8, 51, "Output", + Cell[7710, 270, 258, 8, 51, "Output", CellTags->"Momentum", CellID->1296577309], - Cell[8006, 283, 295, 9, 27, "Input", + Cell[8005, 283, 295, 9, 27, "Input", CellTags->"Momentum", CellID->1010535805], - Cell[8304, 294, 767, 31, 37, "Output", + Cell[8303, 294, 767, 31, 37, "Output", CellTags->"Momentum", CellID->1027005270], - Cell[9108, 330, 128, 4, 27, "Input", + Cell[9107, 330, 128, 4, 27, "Input", CellTags->"Momentum", CellID->856207433], - Cell[9239, 336, 353, 11, 51, "Output", + Cell[9238, 336, 353, 11, 51, "Output", CellTags->"Momentum", CellID->51962391], - Cell[9629, 352, 165, 5, 27, "Input", + Cell[9628, 352, 165, 5, 27, "Input", CellTags->"Momentum", CellID->265634009], - Cell[9797, 359, 306, 9, 51, "Output", + Cell[9796, 359, 306, 9, 51, "Output", CellTags->"Momentum", CellID->827290533], - Cell[10140, 373, 166, 5, 27, "Input", + Cell[10139, 373, 166, 5, 27, "Input", CellTags->"Momentum", CellID->168866988], - Cell[10309, 380, 262, 8, 51, "Output", + Cell[10308, 380, 262, 8, 51, "Output", CellTags->"Momentum", CellID->630640997], - Cell[11973, 435, 244, 8, 27, "Input", + Cell[11972, 435, 244, 8, 27, "Input", CellTags->"Momentum", CellID->1679956191], - Cell[12220, 445, 308, 10, 51, "Output", + Cell[12219, 445, 308, 10, 51, "Output", CellTags->"Momentum", CellID->1622166204], - Cell[12543, 458, 150, 5, 27, "Input", + Cell[12542, 458, 150, 5, 27, "Input", CellTags->"Momentum", CellID->919568834]} } @@ -634,119 +634,119 @@ Cell[4029, 111, 589, 14, 119, "Usage", Cell[CellGroupData[{ Cell[4643, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->620582694], + CellID->903341664], Cell[CellGroupData[{ -Cell[5055, 148, 195, 6, 26, "ExampleSection", - CellID->570090989], -Cell[5253, 156, 71, 1, 32, "Notes", +Cell[5055, 148, 194, 6, 26, "ExampleSection", + CellID->85305860], +Cell[5252, 156, 71, 1, 32, "Notes", CellID->1432666781], Cell[CellGroupData[{ -Cell[5349, 161, 136, 4, 27, "Input", +Cell[5348, 161, 136, 4, 27, "Input", CellTags->"Momentum", CellID->600679238], -Cell[5488, 167, 331, 13, 37, "Output", +Cell[5487, 167, 331, 13, 37, "Output", CellTags->"Momentum", CellID->1847189121] }, Open ]], -Cell[5834, 183, 136, 4, 32, "Notes", +Cell[5833, 183, 136, 4, 32, "Notes", CellID->278592021], Cell[CellGroupData[{ -Cell[5995, 191, 183, 6, 27, "Input", +Cell[5994, 191, 183, 6, 27, "Input", CellTags->"Momentum", CellID->298033535], -Cell[6181, 199, 210, 7, 37, "Output", +Cell[6180, 199, 210, 7, 37, "Output", CellTags->"Momentum", CellID->1288297410] }, Open ]], -Cell[6406, 209, 83, 1, 32, "Notes", +Cell[6405, 209, 83, 1, 32, "Notes", CellID->30302725], Cell[CellGroupData[{ -Cell[6514, 214, 182, 6, 27, "Input", +Cell[6513, 214, 182, 6, 27, "Input", CellTags->"Momentum", CellID->22007276], -Cell[6699, 222, 268, 10, 37, "Output", +Cell[6698, 222, 268, 10, 37, "Output", CellTags->"Momentum", CellID->1337449591] }, Open ]], Cell[CellGroupData[{ -Cell[7004, 237, 180, 6, 27, "Input", +Cell[7003, 237, 180, 6, 27, "Input", CellTags->"Momentum", CellID->1076166182], -Cell[7187, 245, 355, 14, 37, "Output", +Cell[7186, 245, 355, 14, 37, "Output", CellTags->"Momentum", CellID->1841511383] }, Open ]], Cell[CellGroupData[{ -Cell[7579, 264, 129, 4, 27, "Input", +Cell[7578, 264, 129, 4, 27, "Input", CellTags->"Momentum", CellID->1156784400], -Cell[7711, 270, 258, 8, 51, "Output", +Cell[7710, 270, 258, 8, 51, "Output", CellTags->"Momentum", CellID->1296577309] }, Open ]], Cell[CellGroupData[{ -Cell[8006, 283, 295, 9, 27, "Input", +Cell[8005, 283, 295, 9, 27, "Input", CellTags->"Momentum", CellID->1010535805], -Cell[8304, 294, 767, 31, 37, "Output", +Cell[8303, 294, 767, 31, 37, "Output", CellTags->"Momentum", CellID->1027005270] }, Open ]], Cell[CellGroupData[{ -Cell[9108, 330, 128, 4, 27, "Input", +Cell[9107, 330, 128, 4, 27, "Input", CellTags->"Momentum", CellID->856207433], -Cell[9239, 336, 353, 11, 51, "Output", +Cell[9238, 336, 353, 11, 51, "Output", CellTags->"Momentum", CellID->51962391] }, Open ]], Cell[CellGroupData[{ -Cell[9629, 352, 165, 5, 27, "Input", +Cell[9628, 352, 165, 5, 27, "Input", CellTags->"Momentum", CellID->265634009], -Cell[9797, 359, 306, 9, 51, "Output", +Cell[9796, 359, 306, 9, 51, "Output", CellTags->"Momentum", CellID->827290533] }, Open ]], Cell[CellGroupData[{ -Cell[10140, 373, 166, 5, 27, "Input", +Cell[10139, 373, 166, 5, 27, "Input", CellTags->"Momentum", CellID->168866988], -Cell[10309, 380, 262, 8, 51, "Output", +Cell[10308, 380, 262, 8, 51, "Output", CellTags->"Momentum", CellID->630640997] }, Open ]], -Cell[10586, 391, 194, 4, 49, "Notes", +Cell[10585, 391, 194, 4, 49, "Notes", CellID->257067347], Cell[CellGroupData[{ -Cell[10805, 399, 243, 7, 27, "Input", +Cell[10804, 399, 243, 7, 27, "Input", CellID->2130880073], -Cell[11051, 408, 687, 14, 60, "Message", +Cell[11050, 408, 687, 14, 60, "Message", CellID->1857962247], -Cell[11741, 424, 195, 6, 35, "Output", +Cell[11740, 424, 195, 6, 35, "Output", CellID->1904306707] }, Open ]], Cell[CellGroupData[{ -Cell[11973, 435, 244, 8, 27, "Input", +Cell[11972, 435, 244, 8, 27, "Input", CellTags->"Momentum", CellID->1679956191], -Cell[12220, 445, 308, 10, 51, "Output", +Cell[12219, 445, 308, 10, 51, "Output", CellTags->"Momentum", CellID->1622166204] }, Open ]], -Cell[12543, 458, 150, 5, 27, "Input", +Cell[12542, 458, 150, 5, 27, "Input", CellTags->"Momentum", CellID->919568834] }, Open ]], -Cell[12708, 466, 31, 0, 29, "SectionFooterSpacer"] +Cell[12707, 466, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12776, 471, 270, 12, 31, "SeeAlsoSection", +Cell[12775, 471, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13049, 485, 390, 14, 56, "SeeAlso", +Cell[13048, 485, 390, 14, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[13454, 502, 23, 0, 41, "FooterCell"] +Cell[13453, 502, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianPair.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianPair.nb index 65716485d..dacd597f0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianPair.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianPair.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 28818, 1121] -NotebookOptionsPosition[ 20677, 835] -NotebookOutlinePosition[ 24861, 966] -CellTagsIndexPosition[ 24753, 960] +NotebookDataLength[ 28758, 1120] +NotebookOptionsPosition[ 20675, 835] +NotebookOutlinePosition[ 24803, 965] +CellTagsIndexPosition[ 24695, 959] WindowTitle->CartesianPair WindowFrame->Normal*) @@ -80,7 +80,7 @@ CartesianPair.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$33023], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$33128], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CartesianPair", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1689119107], + CellID->139589588], Cell["", "SectionHeaderSpacer"], @@ -237,7 +237,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2048777355], + CellID->1378425862], Cell[CellGroupData[{ @@ -247,7 +247,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1523619138], + CellID->123329389], Cell["This represents a three-dimensional Kronecker delta", "Notes", CellID->108594348], @@ -835,8 +835,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CartesianPair", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -848,7 +848,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 3.050440}", + "built" -> "{2020, 6, 20, 19, 2, 40.331568}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -868,8 +868,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -879,88 +878,88 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6799, 224, 388, 15, 31, "PrimaryExamplesSection", + Cell[6798, 224, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2048777355]}, + CellID->1378425862]}, "Pair"->{ - Cell[7524, 256, 236, 7, 27, "Input", + Cell[7522, 256, 236, 7, 27, "Input", CellTags->"Pair", CellID->1043747934], - Cell[7763, 265, 567, 24, 38, "Output", + Cell[7761, 265, 567, 24, 38, "Output", CellTags->"Pair", CellID->492303314], - Cell[8449, 297, 338, 11, 27, "Input", + Cell[8447, 297, 338, 11, 27, "Input", CellTags->"Pair", CellID->1359804749], - Cell[8790, 310, 543, 23, 38, "Output", + Cell[8788, 310, 543, 23, 38, "Output", CellTags->"Pair", CellID->150522700], - Cell[9560, 344, 287, 9, 27, "Input", + Cell[9558, 344, 287, 9, 27, "Input", CellTags->"Pair", CellID->1343625376], - Cell[9850, 355, 567, 24, 38, "Output", + Cell[9848, 355, 567, 24, 38, "Output", CellTags->"Pair", CellID->127506986], - Cell[11929, 448, 238, 7, 27, "Input", + Cell[11927, 448, 238, 7, 27, "Input", CellTags->"Pair", CellID->958079821], - Cell[12170, 457, 533, 23, 40, "Output", + Cell[12168, 457, 533, 23, 40, "Output", CellTags->"Pair", CellID->714556073], - Cell[12815, 488, 340, 11, 27, "Input", + Cell[12813, 488, 340, 11, 27, "Input", CellTags->"Pair", CellID->106742008], - Cell[13158, 501, 504, 22, 40, "Output", + Cell[13156, 501, 504, 22, 40, "Output", CellTags->"Pair", CellID->1365320302], - Cell[13790, 531, 242, 7, 27, "Input", + Cell[13788, 531, 242, 7, 27, "Input", CellTags->"Pair", CellID->1770091706], - Cell[14035, 540, 616, 26, 37, "Output", + Cell[14033, 540, 616, 26, 37, "Output", CellTags->"Pair", CellID->1726621755], - Cell[14688, 571, 241, 7, 27, "Input", + Cell[14686, 571, 241, 7, 27, "Input", CellTags->"Pair", CellID->227830423], - Cell[14932, 580, 396, 16, 39, "Output", + Cell[14930, 580, 396, 16, 39, "Output", CellTags->"Pair", CellID->563188072], - Cell[15365, 601, 266, 8, 27, "Input", + Cell[15363, 601, 266, 8, 27, "Input", CellTags->"Pair", CellID->25203155], - Cell[15634, 611, 930, 39, 37, "Output", + Cell[15632, 611, 930, 39, 37, "Output", CellTags->"Pair", CellID->1222876519], - Cell[16601, 655, 272, 9, 27, "Input", + Cell[16599, 655, 272, 9, 27, "Input", CellTags->"Pair", CellID->1431519685], - Cell[16876, 666, 398, 16, 39, "Output", + Cell[16874, 666, 398, 16, 39, "Output", CellTags->"Pair", CellID->1761928129], - Cell[17311, 687, 271, 9, 27, "Input", + Cell[17309, 687, 271, 9, 27, "Input", CellTags->"Pair", CellID->721851127], - Cell[17585, 698, 397, 16, 39, "Output", + Cell[17583, 698, 397, 16, 39, "Output", CellTags->"Pair", CellID->282397427], - Cell[18019, 719, 317, 9, 45, "Input", + Cell[18017, 719, 317, 9, 45, "Input", CellTags->"Pair", CellID->294431519], - Cell[18339, 730, 859, 36, 39, "Output", + Cell[18337, 730, 859, 36, 39, "Output", CellTags->"Pair", CellID->1642628671], - Cell[19235, 771, 456, 13, 45, "Input", + Cell[19233, 771, 456, 13, 45, "Input", CellTags->"Pair", CellID->1586756083], - Cell[19694, 786, 207, 7, 35, "Output", + Cell[19692, 786, 207, 7, 35, "Output", CellTags->"Pair", CellID->2130854097]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 22550, 880}, - {"Pair", 22682, 884} + {"PrimaryExamplesSection", 22492, 879}, + {"Pair", 22624, 883} } *) (*NotebookFileOutline @@ -972,157 +971,157 @@ Cell[CellGroupData[{ Cell[4011, 113, 427, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4463, 130, 739, 24, 31, "NotesSection", +Cell[4463, 130, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1689119107], -Cell[5205, 156, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5239, 158, 383, 14, 70, "Notes", + CellID->139589588], +Cell[5204, 156, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5238, 158, 383, 14, 70, "Notes", CellID->1067943069], -Cell[5625, 174, 307, 11, 70, "Notes", +Cell[5624, 174, 307, 11, 70, "Notes", CellID->2118799541], -Cell[5935, 187, 309, 11, 70, "Notes", +Cell[5934, 187, 309, 11, 70, "Notes", CellID->848101134], -Cell[6247, 200, 503, 18, 70, "Notes", +Cell[6246, 200, 503, 18, 70, "Notes", CellID->669577228] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6799, 224, 388, 15, 31, "PrimaryExamplesSection", +Cell[6798, 224, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2048777355], + CellID->1378425862], Cell[CellGroupData[{ -Cell[7212, 243, 196, 6, 26, "ExampleSection", - CellID->1523619138], -Cell[7411, 251, 88, 1, 32, "Notes", +Cell[7211, 243, 195, 6, 26, "ExampleSection", + CellID->123329389], +Cell[7409, 251, 88, 1, 32, "Notes", CellID->108594348], Cell[CellGroupData[{ -Cell[7524, 256, 236, 7, 27, "Input", +Cell[7522, 256, 236, 7, 27, "Input", CellTags->"Pair", CellID->1043747934], -Cell[7763, 265, 567, 24, 38, "Output", +Cell[7761, 265, 567, 24, 38, "Output", CellTags->"Pair", CellID->492303314] }, Open ]], -Cell[8345, 292, 79, 1, 32, "Notes", +Cell[8343, 292, 79, 1, 32, "Notes", CellID->1900001937], Cell[CellGroupData[{ -Cell[8449, 297, 338, 11, 27, "Input", +Cell[8447, 297, 338, 11, 27, "Input", CellTags->"Pair", CellID->1359804749], -Cell[8790, 310, 543, 23, 38, "Output", +Cell[8788, 310, 543, 23, 38, "Output", CellTags->"Pair", CellID->150522700] }, Open ]], -Cell[9348, 336, 187, 4, 49, "Notes", +Cell[9346, 336, 187, 4, 49, "Notes", CellID->1264095069], Cell[CellGroupData[{ -Cell[9560, 344, 287, 9, 27, "Input", +Cell[9558, 344, 287, 9, 27, "Input", CellTags->"Pair", CellID->1343625376], -Cell[9850, 355, 567, 24, 38, "Output", +Cell[9848, 355, 567, 24, 38, "Output", CellTags->"Pair", CellID->127506986] }, Open ]], Cell[CellGroupData[{ -Cell[10454, 384, 319, 10, 27, "Input", +Cell[10452, 384, 319, 10, 27, "Input", CellID->1397592277], -Cell[10776, 396, 549, 23, 39, "Output", +Cell[10774, 396, 549, 23, 39, "Output", CellID->1695876987] }, Open ]], Cell[CellGroupData[{ -Cell[11362, 424, 268, 8, 27, "Input", +Cell[11360, 424, 268, 8, 27, "Input", CellID->1349044184], -Cell[11633, 434, 187, 6, 35, "Output", +Cell[11631, 434, 187, 6, 35, "Output", CellID->1857718213] }, Open ]], -Cell[11835, 443, 69, 1, 32, "Notes", +Cell[11833, 443, 69, 1, 32, "Notes", CellID->721455208], Cell[CellGroupData[{ -Cell[11929, 448, 238, 7, 27, "Input", +Cell[11927, 448, 238, 7, 27, "Input", CellTags->"Pair", CellID->958079821], -Cell[12170, 457, 533, 23, 40, "Output", +Cell[12168, 457, 533, 23, 40, "Output", CellTags->"Pair", CellID->714556073] }, Open ]], -Cell[12718, 483, 72, 1, 32, "Notes", +Cell[12716, 483, 72, 1, 32, "Notes", CellID->1682684397], Cell[CellGroupData[{ -Cell[12815, 488, 340, 11, 27, "Input", +Cell[12813, 488, 340, 11, 27, "Input", CellTags->"Pair", CellID->106742008], -Cell[13158, 501, 504, 22, 40, "Output", +Cell[13156, 501, 504, 22, 40, "Output", CellTags->"Pair", CellID->1365320302] }, Open ]], -Cell[13677, 526, 88, 1, 32, "Notes", +Cell[13675, 526, 88, 1, 32, "Notes", CellID->1100214782], Cell[CellGroupData[{ -Cell[13790, 531, 242, 7, 27, "Input", +Cell[13788, 531, 242, 7, 27, "Input", CellTags->"Pair", CellID->1770091706], -Cell[14035, 540, 616, 26, 37, "Output", +Cell[14033, 540, 616, 26, 37, "Output", CellTags->"Pair", CellID->1726621755] }, Open ]], Cell[CellGroupData[{ -Cell[14688, 571, 241, 7, 27, "Input", +Cell[14686, 571, 241, 7, 27, "Input", CellTags->"Pair", CellID->227830423], -Cell[14932, 580, 396, 16, 39, "Output", +Cell[14930, 580, 396, 16, 39, "Output", CellTags->"Pair", CellID->563188072] }, Open ]], Cell[CellGroupData[{ -Cell[15365, 601, 266, 8, 27, "Input", +Cell[15363, 601, 266, 8, 27, "Input", CellTags->"Pair", CellID->25203155], -Cell[15634, 611, 930, 39, 37, "Output", +Cell[15632, 611, 930, 39, 37, "Output", CellTags->"Pair", CellID->1222876519] }, Open ]], Cell[CellGroupData[{ -Cell[16601, 655, 272, 9, 27, "Input", +Cell[16599, 655, 272, 9, 27, "Input", CellTags->"Pair", CellID->1431519685], -Cell[16876, 666, 398, 16, 39, "Output", +Cell[16874, 666, 398, 16, 39, "Output", CellTags->"Pair", CellID->1761928129] }, Open ]], Cell[CellGroupData[{ -Cell[17311, 687, 271, 9, 27, "Input", +Cell[17309, 687, 271, 9, 27, "Input", CellTags->"Pair", CellID->721851127], -Cell[17585, 698, 397, 16, 39, "Output", +Cell[17583, 698, 397, 16, 39, "Output", CellTags->"Pair", CellID->282397427] }, Open ]], Cell[CellGroupData[{ -Cell[18019, 719, 317, 9, 45, "Input", +Cell[18017, 719, 317, 9, 45, "Input", CellTags->"Pair", CellID->294431519], -Cell[18339, 730, 859, 36, 39, "Output", +Cell[18337, 730, 859, 36, 39, "Output", CellTags->"Pair", CellID->1642628671] }, Open ]], Cell[CellGroupData[{ -Cell[19235, 771, 456, 13, 45, "Input", +Cell[19233, 771, 456, 13, 45, "Input", CellTags->"Pair", CellID->1586756083], -Cell[19694, 786, 207, 7, 35, "Output", +Cell[19692, 786, 207, 7, 35, "Output", CellTags->"Pair", CellID->2130854097] }, Open ]] }, Open ]], -Cell[19928, 797, 31, 0, 29, "SectionFooterSpacer"] +Cell[19926, 797, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[19996, 802, 270, 12, 31, "SeeAlsoSection", +Cell[19994, 802, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[20269, 816, 366, 14, 56, "SeeAlso", +Cell[20267, 816, 366, 14, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[20650, 833, 23, 0, 41, "FooterCell"] +Cell[20648, 833, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianPropagatorDenominator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianPropagatorDenominator.nb index ddd0151b0..6336a09ab 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianPropagatorDenominator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianPropagatorDenominator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12322, 386] -NotebookOptionsPosition[ 9062, 293] -NotebookOutlinePosition[ 11487, 355] -CellTagsIndexPosition[ 11402, 350] +NotebookDataLength[ 12373, 387] +NotebookOptionsPosition[ 9059, 293] +NotebookOutlinePosition[ 11541, 356] +CellTagsIndexPosition[ 11456, 351] WindowTitle->CartesianPropagatorDenominator WindowFrame->Normal*) @@ -82,7 +82,7 @@ CartesianPropagatorDenominator.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$33478], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$33583], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CartesianPropagatorDenominator", ".html"]], @@ -164,7 +164,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2123185487], + CellID->390936523], Cell[CellGroupData[{ @@ -174,7 +174,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1402590542], + CellID->89235765], Cell[CellGroupData[{ @@ -306,7 +306,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 4.421601}", + "built" -> "{2020, 6, 20, 19, 2, 41.411431}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -332,7 +332,8 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, + WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -342,14 +343,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5416, 151, 388, 15, 31, "PrimaryExamplesSection", + Cell[5416, 151, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2123185487]} + CellID->390936523]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11258, 343} + {"PrimaryExamplesSection", 11313, 344} } *) (*NotebookFileOutline @@ -360,34 +361,34 @@ Cell[3829, 101, 307, 11, 45, "ObjectNameGrid"], Cell[4139, 114, 1252, 33, 136, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5416, 151, 388, 15, 31, "PrimaryExamplesSection", +Cell[5416, 151, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2123185487], + CellID->390936523], Cell[CellGroupData[{ -Cell[5829, 170, 196, 6, 26, "ExampleSection", - CellID->1402590542], +Cell[5828, 170, 194, 6, 26, "ExampleSection", + CellID->89235765], Cell[CellGroupData[{ -Cell[6050, 180, 412, 12, 45, "Input", +Cell[6047, 180, 412, 12, 45, "Input", CellID->127407996], -Cell[6465, 194, 496, 14, 61, "Output", +Cell[6462, 194, 496, 14, 61, "Output", CellID->2117846260] }, Open ]], Cell[CellGroupData[{ -Cell[6998, 213, 591, 17, 62, "Input", +Cell[6995, 213, 591, 17, 62, "Input", CellID->754989132], -Cell[7592, 232, 676, 19, 61, "Output", +Cell[7589, 232, 676, 19, 61, "Output", CellID->718503863] }, Open ]] }, Open ]], -Cell[8295, 255, 31, 0, 29, "SectionFooterSpacer"] +Cell[8292, 255, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8363, 260, 270, 12, 31, "SeeAlsoSection", +Cell[8360, 260, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8636, 274, 384, 14, 56, "SeeAlso", +Cell[8633, 274, 384, 14, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[9035, 291, 23, 0, 41, "FooterCell"] +Cell[9032, 291, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianScalarProduct.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianScalarProduct.nb index 7ea66e73d..267da89ca 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianScalarProduct.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianScalarProduct.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 25738, 932] -NotebookOptionsPosition[ 18311, 701] -NotebookOutlinePosition[ 22854, 824] -CellTagsIndexPosition[ 22737, 818] +NotebookDataLength[ 25691, 931] +NotebookOptionsPosition[ 18314, 701] +NotebookOutlinePosition[ 22804, 823] +CellTagsIndexPosition[ 22687, 817] WindowTitle->CartesianScalarProduct WindowFrame->Normal*) @@ -81,7 +81,7 @@ CartesianScalarProduct.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$33915], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$34020], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CartesianScalarProduct", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->167707578], + CellID->2031600622], Cell["", "SectionHeaderSpacer"], @@ -210,7 +210,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->975766033], + CellID->1905248106], Cell[CellGroupData[{ @@ -220,7 +220,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->17949486], + CellID->578384918], Cell[CellGroupData[{ @@ -702,7 +702,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CartesianScalarProduct", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -714,7 +714,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 5.639878}", + "built" -> "{2020, 6, 20, 19, 2, 42.431222}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -741,8 +741,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -752,73 +751,73 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6640, 197, 387, 15, 31, "PrimaryExamplesSection", + Cell[6641, 197, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->975766033]}, + CellID->1905248106]}, "ScalarProduct"->{ - Cell[7271, 226, 169, 5, 27, "Input", + Cell[7274, 226, 169, 5, 27, "Input", CellTags->"ScalarProduct", CellID->888961720], - Cell[7443, 233, 624, 26, 37, "Output", + Cell[7446, 233, 624, 26, 37, "Output", CellTags->"ScalarProduct", CellID->409894593], - Cell[8104, 264, 213, 7, 27, "Input", + Cell[8107, 264, 213, 7, 27, "Input", CellTags->"ScalarProduct", CellID->2091143136], - Cell[8320, 273, 1045, 41, 37, "Output", + Cell[8323, 273, 1045, 41, 37, "Output", CellTags->"ScalarProduct", CellID->1122861444], - Cell[9402, 319, 169, 5, 27, "Input", + Cell[9405, 319, 169, 5, 27, "Input", CellTags->"ScalarProduct", CellID->780031215], - Cell[9574, 326, 405, 16, 39, "Output", + Cell[9577, 326, 405, 16, 39, "Output", CellTags->"ScalarProduct", CellID->294886574], - Cell[10016, 347, 145, 4, 27, "Input", + Cell[10019, 347, 145, 4, 27, "Input", CellTags->"ScalarProduct", CellID->10314838], - Cell[10164, 353, 406, 16, 39, "Output", + Cell[10167, 353, 406, 16, 39, "Output", CellTags->"ScalarProduct", CellID->1042753930], - Cell[10607, 374, 205, 6, 27, "Input", + Cell[10610, 374, 205, 6, 27, "Input", CellTags->"ScalarProduct", CellID->158991943], - Cell[10815, 382, 354, 10, 51, "Output", + Cell[10818, 382, 354, 10, 51, "Output", CellTags->"ScalarProduct", CellID->1975139879], - Cell[11206, 397, 281, 8, 27, "Input", + Cell[11209, 397, 281, 8, 27, "Input", CellTags->"ScalarProduct", CellID->1173751525], - Cell[11490, 407, 499, 16, 51, "Output", + Cell[11493, 407, 499, 16, 51, "Output", CellTags->"ScalarProduct", CellID->161163745], - Cell[12026, 428, 275, 9, 27, "Input", + Cell[12029, 428, 275, 9, 27, "Input", CellTags->"ScalarProduct", CellID->1579106051], - Cell[12304, 439, 236, 8, 52, "Output", + Cell[12307, 439, 236, 8, 52, "Output", CellTags->"ScalarProduct", CellID->1362251681], - Cell[12577, 452, 321, 10, 27, "Input", + Cell[12580, 452, 321, 10, 27, "Input", CellTags->"ScalarProduct", CellID->373851414], - Cell[12901, 464, 2012, 83, 52, "Output", + Cell[12904, 464, 2012, 83, 52, "Output", CellTags->"ScalarProduct", CellID->1239195328], - Cell[14950, 552, 305, 10, 27, "Input", + Cell[14953, 552, 305, 10, 27, "Input", CellTags->"ScalarProduct", CellID->54231534], - Cell[15258, 564, 2012, 83, 52, "Output", + Cell[15261, 564, 2012, 83, 52, "Output", CellTags->"ScalarProduct", CellID->1518630571], - Cell[17285, 650, 142, 4, 27, "Input", + Cell[17288, 650, 142, 4, 27, "Input", CellTags->"ScalarProduct", CellID->1715327028]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 20782, 753}, - {"ScalarProduct", 20922, 757} + {"PrimaryExamplesSection", 20731, 752}, + {"ScalarProduct", 20872, 756} } *) (*NotebookFileOutline @@ -830,110 +829,110 @@ Cell[CellGroupData[{ Cell[4125, 114, 1041, 22, 171, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5191, 140, 738, 24, 31, "NotesSection", +Cell[5191, 140, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->167707578], -Cell[5932, 166, 31, 0, 70, "SectionHeaderSpacer"], + CellID->2031600622], +Cell[5933, 166, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5988, 170, 126, 3, 70, "Input", +Cell[5989, 170, 126, 3, 70, "Input", CellID->791476525], -Cell[6117, 175, 462, 15, 37, "Output", +Cell[6118, 175, 462, 15, 37, "Output", CellID->1156556837] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6640, 197, 387, 15, 31, "PrimaryExamplesSection", +Cell[6641, 197, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->975766033], + CellID->1905248106], Cell[CellGroupData[{ -Cell[7052, 216, 194, 6, 26, "ExampleSection", - CellID->17949486], +Cell[7054, 216, 195, 6, 26, "ExampleSection", + CellID->578384918], Cell[CellGroupData[{ -Cell[7271, 226, 169, 5, 27, "Input", +Cell[7274, 226, 169, 5, 27, "Input", CellTags->"ScalarProduct", CellID->888961720], -Cell[7443, 233, 624, 26, 37, "Output", +Cell[7446, 233, 624, 26, 37, "Output", CellTags->"ScalarProduct", CellID->409894593] }, Open ]], Cell[CellGroupData[{ -Cell[8104, 264, 213, 7, 27, "Input", +Cell[8107, 264, 213, 7, 27, "Input", CellTags->"ScalarProduct", CellID->2091143136], -Cell[8320, 273, 1045, 41, 37, "Output", +Cell[8323, 273, 1045, 41, 37, "Output", CellTags->"ScalarProduct", CellID->1122861444] }, Open ]], Cell[CellGroupData[{ -Cell[9402, 319, 169, 5, 27, "Input", +Cell[9405, 319, 169, 5, 27, "Input", CellTags->"ScalarProduct", CellID->780031215], -Cell[9574, 326, 405, 16, 39, "Output", +Cell[9577, 326, 405, 16, 39, "Output", CellTags->"ScalarProduct", CellID->294886574] }, Open ]], Cell[CellGroupData[{ -Cell[10016, 347, 145, 4, 27, "Input", +Cell[10019, 347, 145, 4, 27, "Input", CellTags->"ScalarProduct", CellID->10314838], -Cell[10164, 353, 406, 16, 39, "Output", +Cell[10167, 353, 406, 16, 39, "Output", CellTags->"ScalarProduct", CellID->1042753930] }, Open ]], Cell[CellGroupData[{ -Cell[10607, 374, 205, 6, 27, "Input", +Cell[10610, 374, 205, 6, 27, "Input", CellTags->"ScalarProduct", CellID->158991943], -Cell[10815, 382, 354, 10, 51, "Output", +Cell[10818, 382, 354, 10, 51, "Output", CellTags->"ScalarProduct", CellID->1975139879] }, Open ]], Cell[CellGroupData[{ -Cell[11206, 397, 281, 8, 27, "Input", +Cell[11209, 397, 281, 8, 27, "Input", CellTags->"ScalarProduct", CellID->1173751525], -Cell[11490, 407, 499, 16, 51, "Output", +Cell[11493, 407, 499, 16, 51, "Output", CellTags->"ScalarProduct", CellID->161163745] }, Open ]], Cell[CellGroupData[{ -Cell[12026, 428, 275, 9, 27, "Input", +Cell[12029, 428, 275, 9, 27, "Input", CellTags->"ScalarProduct", CellID->1579106051], -Cell[12304, 439, 236, 8, 52, "Output", +Cell[12307, 439, 236, 8, 52, "Output", CellTags->"ScalarProduct", CellID->1362251681] }, Open ]], Cell[CellGroupData[{ -Cell[12577, 452, 321, 10, 27, "Input", +Cell[12580, 452, 321, 10, 27, "Input", CellTags->"ScalarProduct", CellID->373851414], -Cell[12901, 464, 2012, 83, 52, "Output", +Cell[12904, 464, 2012, 83, 52, "Output", CellTags->"ScalarProduct", CellID->1239195328] }, Open ]], Cell[CellGroupData[{ -Cell[14950, 552, 305, 10, 27, "Input", +Cell[14953, 552, 305, 10, 27, "Input", CellTags->"ScalarProduct", CellID->54231534], -Cell[15258, 564, 2012, 83, 52, "Output", +Cell[15261, 564, 2012, 83, 52, "Output", CellTags->"ScalarProduct", CellID->1518630571] }, Open ]], -Cell[17285, 650, 142, 4, 27, "Input", +Cell[17288, 650, 142, 4, 27, "Input", CellTags->"ScalarProduct", CellID->1715327028] }, Open ]], -Cell[17442, 657, 31, 0, 29, "SectionFooterSpacer"] +Cell[17445, 657, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[17510, 662, 270, 12, 31, "SeeAlsoSection", +Cell[17513, 662, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[17783, 676, 486, 20, 56, "SeeAlso", +Cell[17786, 676, 486, 20, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[18284, 699, 23, 0, 41, "FooterCell"] +Cell[18287, 699, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianToLorentz.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianToLorentz.nb index d74f82b88..33b47410c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianToLorentz.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CartesianToLorentz.nb @@ -10,8 +10,8 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14163, 510] -NotebookOptionsPosition[ 10490, 396] +NotebookDataLength[ 14165, 510] +NotebookOptionsPosition[ 10492, 396] NotebookOutlinePosition[ 12649, 453] CellTagsIndexPosition[ 12564, 448] WindowTitle->CartesianToLorentz @@ -79,7 +79,7 @@ CartesianToLorentz.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$34360], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$34465], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CartesianToLorentz", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->30906054], + CellID->1176183229], Cell["", "SectionHeaderSpacer"], @@ -199,7 +199,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->205524065], + CellID->182919969], Cell[CellGroupData[{ @@ -209,7 +209,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1511625837], + CellID->1214206638], Cell[CellGroupData[{ @@ -396,8 +396,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"CartesianToLorentz", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -409,7 +409,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 6.916104}", + "built" -> "{2020, 6, 20, 19, 2, 43.514941}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -440,9 +440,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6022, 186, 387, 15, 31, "PrimaryExamplesSection", + Cell[6024, 186, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->205524065]} + CellID->182919969]} } *) (*CellTagsIndex @@ -456,62 +456,62 @@ Cell[590, 21, 3062, 74, 53, "AnchorBarGrid", CellID->1], Cell[3655, 97, 295, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[3975, 112, 495, 13, 101, "Usage", +Cell[3975, 112, 495, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4495, 129, 737, 24, 31, "NotesSection", +Cell[4495, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->30906054], -Cell[5235, 155, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1176183229], +Cell[5237, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5291, 159, 121, 3, 70, "Input", +Cell[5293, 159, 121, 3, 70, "Input", CellID->60038220], -Cell[5415, 164, 546, 15, 56, "Output", +Cell[5417, 164, 546, 15, 56, "Output", CellID->762732505] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6022, 186, 387, 15, 31, "PrimaryExamplesSection", +Cell[6024, 186, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->205524065], + CellID->182919969], Cell[CellGroupData[{ -Cell[6434, 205, 196, 6, 26, "ExampleSection", - CellID->1511625837], +Cell[6436, 205, 196, 6, 26, "ExampleSection", + CellID->1214206638], Cell[CellGroupData[{ -Cell[6655, 215, 100, 3, 27, "Input", +Cell[6657, 215, 100, 3, 27, "Input", CellID->1645372086], -Cell[6758, 220, 530, 21, 37, "Output", +Cell[6760, 220, 530, 21, 37, "Output", CellID->1831630166] }, Open ]], Cell[CellGroupData[{ -Cell[7325, 246, 111, 3, 27, "Input", +Cell[7327, 246, 111, 3, 27, "Input", CellID->1489199171], -Cell[7439, 251, 685, 28, 39, "Output", +Cell[7441, 251, 685, 28, 39, "Output", CellID->403299943] }, Open ]], Cell[CellGroupData[{ -Cell[8161, 284, 123, 4, 27, "Input", +Cell[8163, 284, 123, 4, 27, "Input", CellID->2122603265], -Cell[8287, 290, 596, 25, 37, "Output", +Cell[8289, 290, 596, 25, 37, "Output", CellID->632170649] }, Open ]], Cell[CellGroupData[{ -Cell[8920, 320, 111, 3, 27, "Input", +Cell[8922, 320, 111, 3, 27, "Input", CellID->1322835112], -Cell[9034, 325, 809, 35, 39, "Output", +Cell[9036, 325, 809, 35, 39, "Output", CellID->837370092] }, Open ]] }, Open ]], -Cell[9870, 364, 31, 0, 29, "SectionFooterSpacer"] +Cell[9872, 364, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9938, 369, 270, 12, 31, "SeeAlsoSection", +Cell[9940, 369, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10211, 383, 237, 8, 56, "SeeAlso", +Cell[10213, 383, 237, 8, 56, "SeeAlso", CellID->119070656] }, Open ]], -Cell[10463, 394, 23, 0, 41, "FooterCell"] +Cell[10465, 394, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Cases2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Cases2.nb index 82d539124..c3b79fdab 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Cases2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Cases2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11755, 402] -NotebookOptionsPosition[ 7914, 282] -NotebookOutlinePosition[ 10744, 362] -CellTagsIndexPosition[ 10635, 356] +NotebookDataLength[ 11808, 403] +NotebookOptionsPosition[ 7912, 282] +NotebookOutlinePosition[ 10799, 363] +CellTagsIndexPosition[ 10690, 357] WindowTitle->Cases2 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$34796], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$34901], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Cases2", ".html"]], None}]}]}, @@ -122,7 +122,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->292765766], + CellID->32678749], Cell[CellGroupData[{ @@ -132,7 +132,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1337546765], + CellID->784348960], Cell[CellGroupData[{ @@ -295,7 +295,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 8.115539}", + "built" -> "{2020, 6, 20, 19, 2, 44.533005}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -317,7 +317,8 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, + WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -327,36 +328,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3765, 109, 387, 15, 31, "PrimaryExamplesSection", + Cell[3765, 109, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->292765766]}, + CellID->32678749]}, "Cases2"->{ - Cell[4398, 138, 324, 11, 33, "Input", + Cell[4396, 138, 324, 11, 33, "Input", CellTags->"Cases2", CellID->1924250367], - Cell[4725, 151, 361, 12, 37, "Output", + Cell[4723, 151, 361, 12, 37, "Output", CellTags->"Cases2"], - Cell[5123, 168, 331, 11, 27, "Input", + Cell[5121, 168, 331, 11, 27, "Input", CellTags->"Cases2", CellID->1264635109], - Cell[5457, 181, 365, 12, 37, "Output", + Cell[5455, 181, 365, 12, 37, "Output", CellTags->"Cases2"], - Cell[5859, 198, 446, 15, 27, "Input", + Cell[5857, 198, 446, 15, 27, "Input", CellTags->"Cases2", CellID->1159301950], - Cell[6308, 215, 441, 14, 37, "Output", + Cell[6306, 215, 441, 14, 37, "Output", CellTags->"Cases2"], - Cell[6786, 234, 318, 11, 27, "Input", + Cell[6784, 234, 318, 11, 27, "Input", CellTags->"Cases2", CellID->775837316], - Cell[7107, 247, 741, 28, 37, "Output", + Cell[7105, 247, 741, 28, 37, "Output", CellTags->"Cases2"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9871, 328}, - {"Cases2", 10004, 332} + {"PrimaryExamplesSection", 9927, 329}, + {"Cases2", 10059, 333} } *) (*NotebookFileOutline @@ -367,43 +368,43 @@ Cell[2845, 76, 283, 11, 45, "ObjectNameGrid"], Cell[3131, 89, 609, 16, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3765, 109, 387, 15, 31, "PrimaryExamplesSection", +Cell[3765, 109, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->292765766], + CellID->32678749], Cell[CellGroupData[{ -Cell[4177, 128, 196, 6, 26, "ExampleSection", - CellID->1337546765], +Cell[4176, 128, 195, 6, 26, "ExampleSection", + CellID->784348960], Cell[CellGroupData[{ -Cell[4398, 138, 324, 11, 33, "Input", +Cell[4396, 138, 324, 11, 33, "Input", CellTags->"Cases2", CellID->1924250367], -Cell[4725, 151, 361, 12, 37, "Output", +Cell[4723, 151, 361, 12, 37, "Output", CellTags->"Cases2"] }, Open ]], Cell[CellGroupData[{ -Cell[5123, 168, 331, 11, 27, "Input", +Cell[5121, 168, 331, 11, 27, "Input", CellTags->"Cases2", CellID->1264635109], -Cell[5457, 181, 365, 12, 37, "Output", +Cell[5455, 181, 365, 12, 37, "Output", CellTags->"Cases2"] }, Open ]], Cell[CellGroupData[{ -Cell[5859, 198, 446, 15, 27, "Input", +Cell[5857, 198, 446, 15, 27, "Input", CellTags->"Cases2", CellID->1159301950], -Cell[6308, 215, 441, 14, 37, "Output", +Cell[6306, 215, 441, 14, 37, "Output", CellTags->"Cases2"] }, Open ]], Cell[CellGroupData[{ -Cell[6786, 234, 318, 11, 27, "Input", +Cell[6784, 234, 318, 11, 27, "Input", CellTags->"Cases2", CellID->775837316], -Cell[7107, 247, 741, 28, 37, "Output", +Cell[7105, 247, 741, 28, 37, "Output", CellTags->"Cases2"] }, Open ]] }, Open ]] }, Open ]], -Cell[7887, 280, 23, 0, 41, "FooterCell"] +Cell[7885, 280, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ChangeDimension.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ChangeDimension.nb index a5a88d430..c21e5fedb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ChangeDimension.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ChangeDimension.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21807, 787] +NotebookDataLength[ 21753, 786] NotebookOptionsPosition[ 15162, 581] -NotebookOutlinePosition[ 19104, 691] -CellTagsIndexPosition[ 18985, 685] +NotebookOutlinePosition[ 19050, 690] +CellTagsIndexPosition[ 18931, 684] WindowTitle->ChangeDimension WindowFrame->Normal*) @@ -85,7 +85,7 @@ ChangeDimension.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$38810], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$38915], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ChangeDimension", ".html"]], None}]}]}, @@ -147,7 +147,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->568861151], + CellID->1921134416], Cell[CellGroupData[{ @@ -157,7 +157,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1995069426], + CellID->520839750], Cell["\<\ Remember that LorentzIndex[mu, 4] is simplified to LorentzIndex[mu] and \ @@ -351,7 +351,7 @@ Cell[BoxData[ TraditionalForm], TraditionalForm]}]], TraditionalForm]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{225, 19}, + ImageSize->{224, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"ChangeDimension", @@ -582,7 +582,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ChangeDimension", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -594,7 +594,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 19.013365}", + "built" -> "{2020, 6, 20, 19, 2, 54.153074}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -615,8 +615,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -626,9 +625,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4739, 134, 387, 15, 31, "PrimaryExamplesSection", + Cell[4739, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->568861151]}, + CellID->1921134416]}, "ChangeDimension"->{ Cell[5565, 169, 231, 7, 27, "Input", CellTags->"ChangeDimension", @@ -653,7 +652,7 @@ CellTagsIndex->{ Cell[7983, 271, 500, 16, 27, "Input", CellTags->"ChangeDimension", CellID->931498160], - Cell[8486, 289, 1707, 68, 40, "Output", + Cell[8486, 289, 1707, 68, 37, "Output", CellTags->"ChangeDimension"], Cell[10230, 362, 164, 5, 27, "Input", CellTags->"ChangeDimension", @@ -684,8 +683,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17121, 627}, - {"ChangeDimension", 17263, 631} + {"PrimaryExamplesSection", 17066, 626}, + {"ChangeDimension", 17209, 630} } *) (*NotebookFileOutline @@ -696,12 +695,12 @@ Cell[3904, 103, 292, 11, 45, "ObjectNameGrid"], Cell[4199, 116, 515, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4739, 134, 387, 15, 31, "PrimaryExamplesSection", +Cell[4739, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->568861151], + CellID->1921134416], Cell[CellGroupData[{ -Cell[5151, 153, 196, 6, 26, "ExampleSection", - CellID->1995069426], +Cell[5152, 153, 195, 6, 26, "ExampleSection", + CellID->520839750], Cell[5350, 161, 190, 4, 49, "Notes"], Cell[CellGroupData[{ Cell[5565, 169, 231, 7, 27, "Input", @@ -737,7 +736,7 @@ Cell[CellGroupData[{ Cell[7983, 271, 500, 16, 27, "Input", CellTags->"ChangeDimension", CellID->931498160], -Cell[8486, 289, 1707, 68, 40, "Output", +Cell[8486, 289, 1707, 68, 37, "Output", CellTags->"ChangeDimension"] }, Open ]], Cell[CellGroupData[{ diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CheckDB.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CheckDB.nb index d5c708acd..293603e96 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CheckDB.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CheckDB.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14611, 479] -NotebookOptionsPosition[ 9739, 335] -NotebookOutlinePosition[ 13011, 420] -CellTagsIndexPosition[ 12900, 414] +NotebookDataLength[ 14614, 479] +NotebookOptionsPosition[ 9740, 335] +NotebookOutlinePosition[ 13013, 420] +CellTagsIndexPosition[ 12902, 414] WindowTitle->CheckDB WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$39265], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$39370], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CheckDB", ".html"]], None}]}]}, @@ -137,7 +137,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->747374375], + CellID->1807786562], Cell["", "SectionHeaderSpacer"], @@ -169,7 +169,7 @@ Cell[BoxData[ RowBox[{"NoSave", "\[Rule]", "False"}], ",", RowBox[{"Check", "\[Rule]", "False"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{355, 34}, + ImageSize->{355, 35}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[305]="] @@ -184,7 +184,7 @@ Cell[BoxData[ Cell[BoxData[ FormBox[ RowBox[{"{", "HoldFirst", "}"}], TraditionalForm]], "Output", - ImageSize->{70, 14}, + ImageSize->{70, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[306]="] @@ -209,7 +209,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->470154859], + CellID->1152076630], Cell[CellGroupData[{ @@ -219,7 +219,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1371204916], + CellID->644169140], Cell["\<\ The first time the Table function is evaluated and the result saved into the \ @@ -252,7 +252,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"1", ",", "2"}], "}"}], TraditionalForm]], "Output", - ImageSize->{41, 14}, + ImageSize->{41, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"CheckDB", @@ -286,7 +286,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"1", ",", "2"}], "}"}], TraditionalForm]], "Output", - ImageSize->{41, 14}, + ImageSize->{41, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"CheckDB", @@ -311,7 +311,7 @@ Cell[BoxData[ Cell[BoxData[ FormBox["\<\"{1, 2}\"\>", TraditionalForm]], "Output", - ImageSize->{41, 14}, + ImageSize->{41, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"CheckDB", @@ -335,8 +335,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CheckDB", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -348,7 +348,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 20.271790}", + "built" -> "{2020, 6, 20, 19, 2, 55.244221}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -385,36 +385,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6456, 196, 387, 15, 31, "PrimaryExamplesSection", + Cell[6457, 196, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->470154859]}, + CellID->1152076630]}, "CheckDB"->{ - Cell[7208, 230, 403, 14, 45, "Input", + Cell[7209, 230, 403, 14, 45, "Input", CellTags->"CheckDB", CellID->1433287094], - Cell[7614, 246, 95, 2, 23, "Print", + Cell[7615, 246, 95, 2, 23, "Print", CellTags->"CheckDB"], - Cell[7712, 250, 235, 8, 35, "Output", + Cell[7713, 250, 235, 8, 37, "Output", CellTags->"CheckDB"], - Cell[8121, 268, 403, 14, 45, "Input", + Cell[8122, 268, 403, 14, 45, "Input", CellTags->"CheckDB", CellID->1024102984], - Cell[8527, 284, 235, 8, 35, "Output", + Cell[8528, 284, 235, 8, 37, "Output", CellTags->"CheckDB"], - Cell[8863, 299, 319, 10, 27, "Input", + Cell[8864, 299, 319, 10, 27, "Input", CellTags->"CheckDB", CellID->1578936180], - Cell[9185, 311, 201, 6, 35, "Output", + Cell[9186, 311, 201, 6, 37, "Output", CellTags->"CheckDB"], - Cell[9401, 320, 284, 9, 27, "Input", + Cell[9402, 320, 284, 9, 27, "Input", CellTags->"CheckDB", CellID->1720430951]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12133, 386}, - {"CheckDB", 12267, 390} + {"PrimaryExamplesSection", 12134, 386}, + {"CheckDB", 12269, 390} } *) (*NotebookFileOutline @@ -426,61 +426,61 @@ Cell[CellGroupData[{ Cell[3159, 91, 1033, 20, 170, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4217, 115, 738, 24, 31, "NotesSection", +Cell[4217, 115, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->747374375], -Cell[4958, 141, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4992, 143, 410, 7, 70, "Notes", + CellID->1807786562], +Cell[4959, 141, 31, 0, 14, "SectionHeaderSpacer"], +Cell[4993, 143, 410, 7, 83, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[5427, 154, 91, 2, 70, "Input"], -Cell[5521, 158, 541, 16, 55, "Output"] +Cell[5428, 154, 91, 2, 27, "Input"], +Cell[5522, 158, 541, 16, 56, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6099, 179, 94, 2, 70, "Input"], -Cell[6196, 183, 199, 6, 35, "Output"] +Cell[6100, 179, 94, 2, 27, "Input"], +Cell[6197, 183, 199, 6, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6456, 196, 387, 15, 31, "PrimaryExamplesSection", +Cell[6457, 196, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->470154859], + CellID->1152076630], Cell[CellGroupData[{ -Cell[6868, 215, 196, 6, 26, "ExampleSection", - CellID->1371204916], -Cell[7067, 223, 116, 3, 32, "Notes"], +Cell[6870, 215, 195, 6, 26, "ExampleSection", + CellID->644169140], +Cell[7068, 223, 116, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[7208, 230, 403, 14, 45, "Input", +Cell[7209, 230, 403, 14, 45, "Input", CellTags->"CheckDB", CellID->1433287094], -Cell[7614, 246, 95, 2, 23, "Print", +Cell[7615, 246, 95, 2, 23, "Print", CellTags->"CheckDB"], -Cell[7712, 250, 235, 8, 35, "Output", +Cell[7713, 250, 235, 8, 37, "Output", CellTags->"CheckDB"] }, Open ]], -Cell[7962, 261, 134, 3, 48, "Notes"], +Cell[7963, 261, 134, 3, 48, "Notes"], Cell[CellGroupData[{ -Cell[8121, 268, 403, 14, 45, "Input", +Cell[8122, 268, 403, 14, 45, "Input", CellTags->"CheckDB", CellID->1024102984], -Cell[8527, 284, 235, 8, 35, "Output", +Cell[8528, 284, 235, 8, 37, "Output", CellTags->"CheckDB"] }, Open ]], -Cell[8777, 295, 61, 0, 32, "Notes"], +Cell[8778, 295, 61, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[8863, 299, 319, 10, 27, "Input", +Cell[8864, 299, 319, 10, 27, "Input", CellTags->"CheckDB", CellID->1578936180], -Cell[9185, 311, 201, 6, 35, "Output", +Cell[9186, 311, 201, 6, 37, "Output", CellTags->"CheckDB"] }, Open ]], -Cell[9401, 320, 284, 9, 27, "Input", +Cell[9402, 320, 284, 9, 27, "Input", CellTags->"CheckDB", CellID->1720430951] }, Open ]] }, Open ]], -Cell[9712, 333, 23, 0, 41, "FooterCell"] +Cell[9713, 333, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ChiralityProjector.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ChiralityProjector.nb index a31d10220..6777f3a52 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ChiralityProjector.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ChiralityProjector.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14618, 515] -NotebookOptionsPosition[ 10491, 391] -NotebookOutlinePosition[ 13058, 460] -CellTagsIndexPosition[ 12936, 454] +NotebookDataLength[ 14557, 514] +NotebookOptionsPosition[ 10489, 391] +NotebookOutlinePosition[ 12999, 459] +CellTagsIndexPosition[ 12877, 453] WindowTitle->ChiralityProjector WindowFrame->Normal*) @@ -80,7 +80,7 @@ ChiralityProjector.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$39702], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$39807], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ChiralityProjector", ".html"]], None}]}]}, @@ -168,7 +168,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->723076214], + CellID->51239437], Cell["", "SectionHeaderSpacer"], @@ -197,7 +197,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1872745401], + CellID->1241312395], Cell[CellGroupData[{ @@ -207,7 +207,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1538912494], + CellID->528286114], Cell[CellGroupData[{ @@ -392,7 +392,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ChiralityProjector", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -404,7 +404,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 21.485586}", + "built" -> "{2020, 6, 20, 19, 2, 56.352451}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -424,8 +424,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -435,26 +434,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5850, 184, 388, 15, 31, "PrimaryExamplesSection", + Cell[5849, 184, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1872745401]}, + CellID->1241312395]}, "ChiralityProjector"->{ - Cell[6484, 213, 280, 9, 27, "Input", + Cell[6482, 213, 280, 9, 27, "Input", CellTags->"ChiralityProjector", CellID->336937517], - Cell[6767, 224, 440, 16, 42, "Output", + Cell[6765, 224, 440, 16, 42, "Output", CellTags->"ChiralityProjector"], - Cell[7244, 245, 265, 9, 27, "Input", + Cell[7242, 245, 265, 9, 27, "Input", CellTags->"ChiralityProjector", CellID->2102778570], - Cell[7512, 256, 603, 22, 60, "Output", + Cell[7510, 256, 603, 22, 60, "Output", CellTags->"ChiralityProjector"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12417, 436}, - {"ChiralityProjector", 12563, 440} + {"PrimaryExamplesSection", 12358, 435}, + {"ChiralityProjector", 12504, 439} } *) (*NotebookFileOutline @@ -466,57 +465,57 @@ Cell[CellGroupData[{ Cell[4019, 113, 852, 29, 93, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4896, 146, 738, 24, 31, "NotesSection", +Cell[4896, 146, 737, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->723076214], -Cell[5637, 172, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5671, 174, 130, 4, 70, "Notes", + CellID->51239437], +Cell[5636, 172, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5670, 174, 130, 4, 70, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5850, 184, 388, 15, 31, "PrimaryExamplesSection", +Cell[5849, 184, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1872745401], + CellID->1241312395], Cell[CellGroupData[{ -Cell[6263, 203, 196, 6, 26, "ExampleSection", - CellID->1538912494], +Cell[6262, 203, 195, 6, 26, "ExampleSection", + CellID->528286114], Cell[CellGroupData[{ -Cell[6484, 213, 280, 9, 27, "Input", +Cell[6482, 213, 280, 9, 27, "Input", CellTags->"ChiralityProjector", CellID->336937517], -Cell[6767, 224, 440, 16, 42, "Output", +Cell[6765, 224, 440, 16, 42, "Output", CellTags->"ChiralityProjector"] }, Open ]], Cell[CellGroupData[{ -Cell[7244, 245, 265, 9, 27, "Input", +Cell[7242, 245, 265, 9, 27, "Input", CellTags->"ChiralityProjector", CellID->2102778570], -Cell[7512, 256, 603, 22, 60, "Output", +Cell[7510, 256, 603, 22, 60, "Output", CellTags->"ChiralityProjector"] }, Open ]], -Cell[8130, 281, 154, 3, 49, "Notes"], +Cell[8128, 281, 154, 3, 49, "Notes"], Cell[CellGroupData[{ -Cell[8309, 288, 155, 5, 27, "Input"], -Cell[8467, 295, 487, 19, 42, "Output"] +Cell[8307, 288, 155, 5, 27, "Input"], +Cell[8465, 295, 487, 19, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8991, 319, 198, 6, 27, "Input"], -Cell[9192, 327, 169, 5, 35, "Output"] +Cell[8989, 319, 198, 6, 27, "Input"], +Cell[9190, 327, 169, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9398, 337, 198, 6, 27, "Input"], -Cell[9599, 345, 169, 5, 35, "Output"] +Cell[9396, 337, 198, 6, 27, "Input"], +Cell[9597, 345, 169, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[9795, 354, 31, 0, 70, "SectionFooterSpacer"] +Cell[9793, 354, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9863, 359, 270, 12, 70, "SeeAlsoSection", +Cell[9861, 359, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[10136, 373, 313, 13, 70, "SeeAlso"] +Cell[10134, 373, 313, 13, 70, "SeeAlso"] }, Open ]], -Cell[10464, 389, 23, 0, 70, "FooterCell"] +Cell[10462, 389, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Chisholm.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Chisholm.nb index 74e73ee61..d6e372984 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Chisholm.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Chisholm.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 68281, 2347] +NotebookDataLength[ 68283, 2347] NotebookOptionsPosition[ 61461, 2128] -NotebookOutlinePosition[ 64560, 2216] -CellTagsIndexPosition[ 64410, 2209] +NotebookOutlinePosition[ 64562, 2216] +CellTagsIndexPosition[ 64412, 2209] WindowTitle->Chisholm WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$40147], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$40252], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Chisholm", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1698842247], + CellID->1956487543], Cell["", "SectionHeaderSpacer"], @@ -178,7 +178,7 @@ Cell[BoxData[ RowBox[{"MaxIterations", "\[Rule]", "\[Infinity]"}], ",", RowBox[{"InsideDiracTrace", "\[Rule]", "False"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{498, 72}, + ImageSize->{498, 73}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[55]="] @@ -203,7 +203,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1890694887], + CellID->1819697314], Cell[CellGroupData[{ @@ -213,7 +213,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1569818548], + CellID->1704469344], Cell[CellGroupData[{ @@ -1675,203 +1675,203 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQlUFFe6x2fey5nzTubMyRgnL85kTOIKiMZofCooIIK4DPMUzYgoOspz -RWJMRCSasIhKDBg0YkzYAg5qAEUUF1A0IypRdgGBCIjsYLN3N713vd4wbFVd -3V1dfav6+50zczRt36r6/ve7VdXbb5zXxyu3/sdvfvObPf+l+L+Vm/Y5fvrp -ps9W/VHxl3/s2rNj264tm5fu8t2ybcunc73+U/EfwxT/e1vx75V/xgAAAAAA -oIyekiO3WqVMGZYMEl6XSG6SLY8A+8prhpgkRDn/eVF9n5EmMjo9wr7aApik -Je2A76HD7kHfHg84VthWkxVmO2rUvNh6ieZxaevFJX96dbxPckFp5uEZo/68 -PCqHI8bkwqY74c4zticW9miSk/NrMq4XdEtHGra4V5mfsPFWXPSPNx6UNQpE -TWnBX3yfnJYUefCHEq7iQWln7rXMWsNjFtdFL7GeMGGixXy/Qq6hg1EBu8pr -ptASYldLqutUq/emT5/+nsVfp+wt7ZMLmx/Fuk2cE6PZDjt7hF21ZRkyAwoi -qfvecUl6dWFQZgu/9W4VV84vO+A49Q0r/5I+1eOi2rg1nu/82f5mB4Zx8zZM -mnn8mUj9TOHT0x/ndmuGkbZd2/vZ3U4Z7rDC2h82/9+ZZ0LVo9zcf77vdr9H -secvLrvYHvpF+V9l7Vl792W8MOzChVsYvP1caTc61/HsKi+DQb5HnrY9v/uc -r9xLaVPSus8f81Uj13xtMz/m5SrLwh5hV22Ni/hF9ldL5wWWC7C+sn32KzLa -h85pWW9pUnTyzZuJgZsOPezRb8ZL6uNXed1T1JVXtMt+Q06P/rvbVxZsa7lo -y9qURnWN+U/C9p3/ZOq4f9zsUOTELw3bdyHB9u0RkhVVx+zJ1yQrKA922V3I -wx1W1pb298l2gSeOfrJ6wT/Ci1ofrps066RyoJ4HKyfZpb1QzQhu7g7nQ5UC -/Q8FE9ZGey+3GTd63JKgf3foOkdkHVnbPRPqeQ1Ju7d8WyMc+JBc8Dwz7mz6 -9Xjfma+//u5kC4tpzkd++XVHpZysgx4O77372qjxVlNne1xpG7BpNpWXMvQv -tS4wrEf6USx+a/2L1P9uyOpn4h7Re2UzeYO83BHj1tb4dGd7ukQ+E7Smex3M -7R1Sflnn7Z1/j6xRlEdYeWjB2pxefTYgb7+xatn5Zikm/OXQXOeUVpn2p+Aj -6y2K3jTpv63cT+T3yJTJBhdUJji8bRtVJ+rI3v91aV36fC3JShpiHYftxcBh -ux+utnS8oZiJ8s5bKy0cLzS2ZoXt3Lb/eGy0n9VfF2V1qp4gbTyzcOHZJoOv -GiQvsvxnWW3O0/FOvydnvc3O7Jz4k7faJIMekHff2+MWWS1SrlWxTq43hjaU -TNDKEcr7SgPdE+oHP1P9MMvKSwF6l1oXmNYjmkcUi5+Hb75m7g5b/UzcI/qt -bKZvEFpri4ewOsJ99bEqg05dgoojrgEP887ElwytvuLyMnWZXViVsjr84k+d -95f26bMBXr63S+gvQkWp/rVgbuhTofZnENNTcvDH85/NmepdwOOXhx8s6e36 -yXO85SfXz/olN4g4VzXJ8gq2WM4Ir+6/G62KOlCknj2i6rB5izM68Ie9d+dD -C0flEJj42Ym5s49WqcdQzAi7dxzOaC4rZC/SFtmdrBUbejDKIl9a7KLjWtJX -unfKX6bN3HCnc2hknbdXzgsoV04IUdUx53/+POK1gLAyfE3UM5x9Z1V5DW8Q -A0tNEqb1SIHqUlqx+K3Zndt/3MNWP9P2iCErm0kbhObajoyspyg1tajboCsc -wZNgR88vzlaPcNbozXGfZJOoPDHyHod4nuovk24orsJsFl1vl4tqvnecsv5R -rwE721d7PqtFovwQRf3TiAVuWZ38stCAYq5iCgVNHW3tmdUhk3PS56mTlTTE -2U5erVkPZJw7n599rt59WesFl4XxjVLcYW9WnHOZ5at8fVNQHmC//t9dqrec -a2KWT7I/UsLTzFFx3XeOS9M5hlymikWqUohro9yPPNFp7RPXRto7nT7nNXtd -ZvuQa5/WlIU2qsVaWH3aI2jkNz0ldTGL194atlKyq7yaehjaIAaWmiSM6xHV -raW0Odnd5+eXL9wNW/1M2iOYASubaRuEptoawj58Wlpa+v9Vb97O7Yn1I538 -BBWB096a4xqYcCXtbPxPrTjnRy3jS5vPO1o6LPTcHRwWsfyD5eGXiT/UQDia -uDn1wL6vv/96XcDxrwJ/KONUZ4bYzj5wrZovakrZfLiEL+19nLJj3GsTdl2q -4MnkvLLTm/+2euf+kNDQQ0fiHr+8bhE9i3TdOvCV7MHDlvPlguq4nRu/+C4x -+lDwpUaxsPF2fIjPRr/44gEd35296X+jnhNfMhAeC7/E12aKk8+J+IS4tCo+ -TklGfq6k8YyTbVgVr+nchmWHHwxeNiXNF3a4+cdfvZIYd6sR59JX0vCD0+Sl -1zhD1y+GlddwtDeIoaUm2hCze0S1+K3efr//bWlxR/HZD9+d7H25ov8DUCbt -ESV6r2ymbhCKaittS9/2Ua7Ot9Jizr3Y7S52bkfDo0Y6KfcjargWERadeGrb -5Fd/96aLT8iZWtJnfkldlN3ccOIbFcGzcz7274x6e8mxcuVOyLmPjx+Irhmw -CXl7xodOp0jetWkdTYXBnyeX9+SGH7g2dAhdhpW0XN4fUTjsHnsg5I6FGGlX -bvQez7Wbd/nuPxxT1GPQrSlpmFFe7Ri/QUgCPYKHqXqEzMqGDzNqi6nei1nk -eqdL9x3svus2cc7xtNPluGcleW/u3tkOUXViTFgZZPWmbVKLDouTuPakzft+ -ZURvrQjrU2Luc0Q9jz6fPtEjpxeTNCW6LjhSMaRpbPzIvT+jfTTqkHQW3ins -0nN6SDrzbxcTP5mKYxFUhM63XHexydhX7kbA2OUlh5EbhBzQI3iYrEdIrGzG -hpYG0ffMwsvfajkjIO2bguGvB2qQca4uGTtddW7m5nlZ28WM9GEHg5CJVZ0o -aYiztz1R0/7Qb+n+R/pfalI7mmkx/Fj4Rd7j/vDWwpXuCtZsDq3gG2dHGYek -OcVrscMQlvk86B5aXRQaBIMewQd6xCj82iA2lqNGT5+H2yA49JXts7b2To28 -i/99GUl97KwxHyjaRcbJ2PFhaBHXaDOQ+2ijw57kEI/hn+4z/WimRf9j6c52 -GTP+o2JoFj1BqkEw6BF8oEeMg373LKLqsBmWnsmnE/PvZ5XhfJZExi378TNv -35NJl9Pu1OC9AUYJ/OKPrac4fVmi80akXXkXLhUN+Y6t3qOZFoqPRfg0dNob -MyKqDP4EqnmCVoNg0CMqoEdoRL8zi6DyoN3UlRtX7Yot5eK0TXvGRquxo3// -ym8VvPLHmXuM+Ls7/Mf+K8Ke6PHCZff99RYW67MH36jpPZppofpY5NySb70W -2C7f6hcQFBKR3sLA91tMCFoNgkGPqIAeoRG938EnRNxy48uQi3Xqk7lc0pl3 -3P8h1dvoR9KSvNEtiarvg1I7mmlh07GwDDobBIMewYdNx8J+pK0XF0901vwG -k+Kmvyrr8q0mI90yyjhX3SfO+gbvG6smHc20sOlYWAadDYJBj+DDpmMxB+S8 -0rAVVmPGvu+yZpv/0ajUgg4jfOhFs6mOzKXTViW3ULMBakczLWw6FrZBY4Ng -0CP4sOlYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKNi8M+Q0josGSS8LhFK -X7NmX4XNEPaFiE6bsK+25o6kJe2A76HD7kHfHg84VthWkxVmO2rUvNiXvzEo -bb245E+vjvdJLijNPDxj1J+XR+VwxJhc2HQn3HnG9sTCfvOBnF+Tcb3g5e9P -DBq2uKsl1XWq1XvTp09/z+KvU/aW8rofHdvqOs9q3PtrTz1ReRU6c69lEts1 -SCGui15iPWHCRIv5fsb9ZrgOsKvCZopJQuT3Po4O+Gjj3/7ng7Vxdcrfrmdn -m7CrtmxCZkA1JHXfOy5Jry4Mymzht96t4sr5ZQccp75h5V+i/tUIUW3cGs93 -/jyColr49PTHuf2OHWnbtb2f3e2UjTzs07bnd5+rft1I2pS07vPHHbWJcQU9 -MsXg0fYT/qb+HQVZe9befRn4v4JICm5h8PZzpd1IXaOwq8IMhnFtwu2tfNAo -UNqpv7FbdFHtHGZhm7CrtsZG1pG13TOhnteQtHvLtzUDvqQs5WQd9HB4793X -Ro23mjrb40qbfschqY9f5XVPUVRe0S77DQNFa7rSVxZsa7loy9oUjUmd/yRs -3/lPpo77x80ORbn5pWH7LiTYvj1CrKLqmD35mlgF5cEuuwt5BMOqUaS61r+I -J5f2SVVtzi/aNW9zruaqiZu7w/lQpSHKDGFttPdym3Gjxy0J+neHboUVv8j+ -aum8wHKB8rd+7VdktA8zgPeWJkUn37yZGLjp0MOegY/KBc8z486mX4/3nfn6 -6+9OtrCY5nzklwGHwaYKU4aWokGbKELU/E3cmP5FeE5X/5Jp0jYhWNn07yA2 -1dbo9OSst9mZnRN/8lbboK/JygStHKG8rzTQPcEQp4W8/caqZeebpUoR+Fzn -lFaDvEuy3qLoTZP+28r9RL7iKlcRa3BBZYLD27ZRdaKO7P1fl9alz9cSq6Qh -1nHYXgweVoUiVQ/f/F9vv/mlX22Jejk7pY1nFi48a/gPIUleZPnPstqcp+tt -fne2p0vkM0FrutfwnyWXdd7e+ffIGqW8vfLQgrU5vzqx5N339rhFKlUlkvpY -J9cbwxoKY1+FDUZb0aBN+kMUv8iJ/dhl/Nil32l08KZuE7yVTYl+HYSxr7Z4 -CKsj3FcfqzLg1NVXunfKX6bN3HBnRHmSsDJ8TZRBv/jDy/d2Cf1FqKjTvxbM -DX1q8A839ZQc/PH8Z3Omehfw+OXhB0t6u37yHG/5yfWzfskNIs5VTay8gi2W -M17KSoVVUQeK1PNDVB02b3FGB9Gwyr8qUl2z+6VfWs4tOxeT3f5rirIXaYvs -TpKUzxIia7u02EXnhURQccQ14GHemfiSYboLWVvqMruwKuWR84s/dd4/QGTY -eXvlvIBy5VwRVR1z/ufPOB5GVlXY4AYhVTRok35Ez07Mt/+hQb2Sm7ZNCFc2 -/TpIDctqOzKynqLU1KJu/a9wxLWR9k6nz3nNXpfZPnwUSV3M4rW3cIV9JFBc -gtksut4uF9V87zhl/SMciwYp+mrPZ7VIlJ+gqH8ascAtq5NfFhpQzFVMkqCp -o609szpkck76PHWskoY428mrNXNKxrnz+VnNuV7WesFlYXyjlGBYxX+TNie7 -+/ysfkVCLqjLvHi3TRGhjFdX1at6prjuO8el6RwD6iIXi1SlENdGuR95ouvC -J3gS7Oj5xdmR5O+9Oe6TbBKV1zK8xyGepwaYwGWtKQttjio7Rlh92iNohPdD -WVVhzUEb2CDai4ZBmwxA1npp9c77mheQTNomxCubXh3Ertoawj58WlpalP9C -0njGyTasitd0bsOyww+GNaCk4QenyUuvcQgnOtH40ubzjpYOCz13B4dFLP9g -efhlrZ9owB9N3Jx6YN/X33+9LuD4V4E/lHGqM0NsZx+4Vs0XNaVsPlzCl/Y+ -Ttkx7rUJuy5V8GRyXtnpzX9bvXN/SGjooSNxj19emYieRbpuHfgy9uBhy1Uf -TmpOXr39vureVdx4br3FeAtrBVOm2n2uMWt3Z2/636jnWq8X8I+FX+JrM8XJ -50R8QlxaFYEOaeSqYr15O7cn1o+0fUFF4LS35rgGJlxJOxv/U+ugfyJpvrDD -zT/+6pXEuFuNI10VM6zC0rb0bR/l4tx5kUJ7g2gvGgZtoni0IcHdafX+735M -Oftj/kt/uynbRMvKpl8HMa+2+iDm3Ivd7mLndjQ8aqQzbz+ihmsRYdGJp7ZN -fvV3b7r4hJyppe5dH8Gzcz7274x6e8mxcuUeyLmPjx+Irhkwvrw940OnUyRv -2bSOpsLgT33Le3LDD1wbOoQuw0paLu+PKCTUrpI7FmKkXbnRezzXbt7lu/9w -TFEPqctYSV2U3dzwgZdZusOMCmNatUcINIgaaBM8TNUmBJDoIGbU1hC677pN -nHM87XQ57mWbvDd372yHqDoxJqwMsnrTNqnF0MIPQFifEnOfI+p59Pn0iR45 -vZikKdF1wZGKIR1j4zfsdUo9R6MOSWfhncIuPeeGpDP/djHxk6k4FkFF6HzL -dRebdLoqEdeetHnfr8z0HkJjV1iFVqGeiRtEDbQJHiZrEwLo6iBaGkRfePlb -LWcEpH1TgPsCr4xzdcnY6aoTMDfPy9ouxpBPr4wwvFjVhpKGOHvbEzXtD/2W -7n+k/2mU2tFMi+HHwi/yHveHtxaudFewZnNoBd84O8pEJM0pXosdlNhYjho9 -fZ7qj8t8HnQPLbDJG0SzEWgTHKBNjMKvDTKAkRoEh76yfdbW3qmRd/G/LyOp -j5015gNFu8g4GTs+DC3iGmcGch9tdNiTHOIx/PN7ph/NtOh/LN3ZLmPGf1QM -nUKAlnsWdBpEDbQJHtAmKCGqDpth6Zl8OjH/flYZzmdJZNyyHz/z9j2ZdDnt -Tg3BG2AGwi/+2HqK05clOm9B2pV34VLRkC/Y6j2aaaH4WIRPQ6e9MSOiynh6 -XeZDfGZBqEHUQJtg0CYMQFB50G7qyo2rdsWWcnHapj1jo9XY0b9/5bcKXvnj -zD3G+t0d/mP/FWFP9Hhpsvv+eguL9dmD79L0Hs20UH0scm7Jt14LbJdv9QsI -ColIbwGL+DCIzywINYgaaBMM2oQFiFtufBlysU59MpdLOvOO+z8keLNTfyQt -yRvdkqj6Mii1o5kWNh0L+6CtQdRAm+DBpmNhP9LWi4snOqe9UF+sybhVWZdv -NRnjllHGueo+cdY3Bn3/2FijmRY2HQv7oK1B1ECb4MGmYzEH5LzSsBVWY8a+ -77Jmm//RqNSCDiN86EW5nY7MpdNWJbdQMzq1o5kWNh0LC6GrQTRbgzbBgU3H -AgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJBHwusSMesbxuYN5AUAALKI66KX -WE+YMNFivp9xvxQNUALkBQAAHjJUrja5hcHbz5V2w1dytYJGZJDXINAIBQBM -iKQ+fpXXvW4M4xXtst+Q06P9GYTIekuTopNv3kwM3HToYY++DSasjfZebjNu -9LglQf/u0HW5knVkbfdMqOc1JO3e8m3NgK9Ui19kf7V0XmC5QPkLuPYrMtoH -7p5c8Dwz7mz69Xjfma+//u5kC4tpzkd++dUSIeVkHfRweO/d10aNt5o62+NK -mwkXUcoiIyyILhgnL83DuDMKqcgoC4XS3SaorZbq6YrWuUTNygAwBXn7jVXL -zjdLlRLuuc4prYY5j2Sdt3f+PbJGKQyvPLRgbY4hEllFs77I8p9ltTlPx1dX -enLW2+zMzok/eatt2Jd6u7M9XSKfCVrTvQb/WLe8+94et0ilokNSH+vkemNo -X8gErRyhvK800D3BGPYOnaA0MryC6IMR8iKYUWhFRlko1O42bm21VU8fiOYS -tSsDQA/C6gj31ceq9Lre4OV7u4T+IsSkTf9aMDf0qWE/miRrS11mF1allHzy -iz913k/OkEc44KXFLjq2aV/p3il/mTZzw52RVE+CiiOuAQ/zzsSXDJ76nbdX -zgsoV1ZQVHXM+Z8/jzjxhZXha6Ko+W0jZCLDK4h+UJ4XwYyiOzJiKA2Fst3G -ry2p6ukIwVyifGUA6EDWU5SaWtStz2WS4grLZtH1drmo5nvHKesf4RgsyNKb -4z7JJlH5g6W8xyGep/Q3scvFItWeiGuj3I880Wn9FddG2judPuc1e11m+/Cj -ETwJdvT84uxQJbqsNWWhzVHlxBdWn/YIGvk9aEldzOK1t3DVhDqBTGQ4BdER -o+WFP6Noj4wQakOharfxa0uqerpCMJcoWxkAdNg3Ei0tLcrHpM3nHS0dFnru -Dg6LWP7B8vDLtX1apjPRaIKKwGlvzXENTLiSdjb+p1Ztl1z4Q/FLfG2mOPmc -iE+IS6siMAGN8FxJ4xkn27AqXtO5DcsOPxi2dPfm7dyeWD98zyTNF3a4+cdf -vZIYd6sR54JT0vCD0+Sl1zjaVg1pW/q2j3INuQikLzLcgug0jtHyIppRVEZG -BhpDIbXbI44waByi2pKpni7bUoI/l3RZGQxvH4ACxJx7sdtd7NyOhkcNv1QQ -PDvnY//OqLeXHCtXPibnPj5+ILpmwBWlvD3jQ6dTteTuurWOJqmLspsbTuZy -ROtQJJB25Ubv8Vy7eZfv/sMxRT1UrB0UocWfi1JkJDFVXuRnlFFBMxQlooZr -EWHRiae2TX71d2+6+IScqdX/LXgjbkunHLW0D0AX3XfdJs45nna6fOhZXlif -EnOfI+p59Pn0iR45vZikKdF1wZGKIQ1h40fuJU/to4lrT9q871emfTTtQ2lH -UBE633LdxSYUhQ5aWwOZyMhhsrxIzyijgmYoys325u6d7RBVJ8aElUFWb9om -tRjv8sqgbemWI5xZ0ICXv9VyRkDaNwXDX5WViVXpSxri7G1P1LQ/9Fu6/5H+ -b9NSOJrhQ/GLvMf94a2FK90VrNkcWsHXaz+oRdKc4rXYQYmN5ajR0+ep/rjM -50H30CNjXGTszAsbGNkAhkWGZihKW9aSsdNVdwLcPC9ruxgjfgKOhm2Rbh+A -FvrK9llbe6dG3n2B/6l37qONDnuSQzwM/1gpxaPpP1R3tsuY8R8VI7JADUHL -RRdzI2NpXmRBLBRJfeysMR8o1ngZJ2PHh6FFXCMuwXRuC+5ZUEBUHTbD0jP5 -dGL+/awyvA+k8Is/tp7i9GUJwVurIyPtyrtwqWjIF6v1G43CoZQIn4ZOe2NG -RJXxzLIGQNwazIjMnPIii8lDGYyMW/bjZ96+J5Mup92p0XsU9LYFZxYUEFQe -tJu6cuOqXbGlXNwXPvmP/VeEPdHj1eru++stLNZnD74f1W80CodSIeeWfOu1 -wHb5Vr+AoJCI9BaU3m8hbg1mRGZOeZHF5KEMRNaesdFq7Ojfv/JbBa/8ceYe -I/5aG53bgjMLY5C0JG90S2qi6JctKByN2h1jE2hGZuZ5IRWKuOXGlyEX69S3 -gHJJZ95x/4fGWovp3BbAGGScq+4TZ31D0beQKRyN2h1jE2hGZuZ5IRWKtPXi -4onOaS/Ut7wyblXW5VtNRnqhkc5tAcxB3pG5dNqq5BZqPslB4WjU7hibQDMy -M88LrVDkvNKwFVZjxr7vsmab/9Go1IIO48VC57YAAAAAAAAAAAAAAAAAAAAA -AAAAwPwAjyo6QBboAFkAgI5Q6COm2HBKYFOl0NmKkkeVcU5b1cMU1ccQW7QR -QNLTrRrJ1E1BfxYAA6FObmsEwymeTZVi1SwqHlWmOW1Vm6KyPvraoo0Aup5u -EzeFCbIAmAh1HlXqDaeEploKVbOoeFSZ5rTFqK6PQbZoakHW023qpjBBFgAD -oc6jSr3hlNhUS6FqFhGPKtOctkqorY8htmhqQdTTbfqmMEEWAKLQ5VGl2nCq -xSxMkbNVCX0eVbqywGhx2upQH8OC0G1qkYS+LCiskumbwihZAMwCXY+qGnps -qmh4VNHNgq760CrPJQRZT7cS5JsCMHeQ9ahqNk6LTRURjyqyWdBWHzrlucQg -6+nGGNEUAICoR1UzHC02VWQ8qohmQZvTlp4NMdovjLGoKTCyWQBMBjGPqhp6 -DKfIeVQRy4K2+tAZBFkQywJjY1MAbAYxj6oaegynyHlUEcuCtvrQGQRZEMsC -Y2NTAGwGKY+qGnoMpwh6VJHKgrb60BsEWZDKAmNnUwDsBSmPqhp6DKcIelSR -yoK2+iAYBIZYFpgZNwXASJDyqKqhx3CKoEcVqSxoqw+CQWCIZYGZcVMAzAQt -j6pmFFoMp+h5VNHKgrb6oBcEhloWmPk2BQAAAAAAAAAAAAAAAAAAAAAAAAAA -BICVFR0gC3SALABARxhpK9Y8bHxPLqXaX60wz5BLeejsy4Iec7RW6bbOW8Kd -PGArBkjASFuxCjo8uRQbYLXAPEOuUdy17MqCPnM0kXRbV/AnD9iKAVIw1lZM -jydXCXUGWC0w0JBrDHct+7KgxxxNVDcdIZg8YCsGyMBcWzEtnlwlFBpgiWGg -Idco7lr2ZUGPOZqgbrqCP3nAVgz0Q5eVlV5bMU2eXIykARZDzVZMkyGX6tCV -UJAFGejLgh5zNFHddNkKRjx5dLYVk+kLgFmga8hVwy5PLlK2YgTrY4Jt4YBu -X6ChKtZt8miD1G+AAwwCWUOuZuNs8+SiZCtGsT50bwsPZPsCFVWxbpJurcCZ -hXWga2XFWOTJZbStGKMxCBq2xWhbMZtUxRjZvgCYDHpWVoyNnlwm2ooxet21 -aHlyEcuCrapiuGdhLehZWTE2enKZaCvG6HXXouXJRSwLtqqK4czCWlCzsmLs -9OQyz1aM0euuRc2Ti1QW7FUVw5mFpaBmZcXM2JOLWhZ01geyIABUxQDDQM3K -ipmxJxe1LOisD2RBAKiKAaaBnJUVM19PLnJZ0FkfyILo+aAqBgAAAAAAAAAA -AAAAAAAAAAAAAABgBMDKig6QBTpAFugAWTAEyqyslPpSca2slCtrUbKyUmgr -1iJ6Jg+d+mCWZkGfxZs2ZzFDzdH0rFFGmq5oZEEaSg251PlS8aysVCtrkbKy -UpkFoehZR2jSB7M0C5ot3rQ4ixlqjlZi/DXKONMVkSzIQ6mVlTJfKqGVlUJl -LVpWVgqzIC6gjtCjD2ZrFjRbvOlxFithpjmahjXKGNMVlSxIQ62VlSpfKrGV -lUJlLVJWVgqzIC6grtCjD2ZpFnRbvGlxFithqDna+GuUUaYrIlkMgkYrK0W+ -VC1WVorcr5gJrKw0ZaGlgDpWyWB9sFlnQbPFmyZnMcZYczQNa5QRFN40ZkEG -sLKiY2WFLCALsrAxETzQzQIlhTc9WZAFrKzoWFkhC8iCJCxNZGSQzQIthTct -WegAWFnRsbJCFpAFueHYkgiYo9HZFrksdAesrOhYWSELyIIQtiaiBcSyMF+F -t06AlRUdKytkAVkQwtZEtIBYFuar8NYJsLKiY2WFLCALAtibiBaQysKcFd46 -AFZWdKyskAVkQYDZJoJUFuas8NYBsLKiY2WFLCALAsw2EaSyMGeFty6AlRUd -KytkAVkQjmKmiaCVhRkrvAEAAAAAAAAAAAAAAAAAAAAAAAAEARMoOkAW6ABZ -oANkwRAYZshltQmUwiyU4Mt/dR6JFj2ulmQZmgVdhlzVw5Qlzs4s6FqjVFti -ZxakYZghl9UmUEqtrATyX92hQ4+rLVkGZ0GDIVcJdYmzNws61iglbM2CPEwz -5LLZBEqplVXLQekELXpcUskyMwt6LN4UJs7aLOiyeLM2C9IwzZDLZhMotVZW -4oPSCVr0uKSSZWgW9Fi8qUuctVnQZvFmaxaDoMkESpMhl9kmUJqy0H5QWgYZ -NBRNelwyyZLNAiVbMUaTxZvCxNmaBW0Wb1SzoAowgZLZFiutrLodFBp6XAph -qq3YgBKhmLgKyMJ4GzINYAIltS1WWll1OShU9LhUwkhbsUElQi/xfiALo23I -VIAJFB0TKKJZYCzS42IMtxXT1heQhfaB2JWFsQATKDomUMSywFiqx2WirZi2 -EkEWWmFrFhQDJlB0TKCIZYGxVI/LRFsxbSWCLLTC1iwoBkyg6JhAkcoCY60e -l3m2YtpKBFlohb1ZUAqYQGnYFkmQygIzYz0uhlgWtJUIstCKmWdBFjCB0rAt -kiCVBWbGelwMsSxoKxFkoRUzz4I0YAJFxwSKVhaY+epxMdSyoK1EkIX255t1 -FgAAAABgFP4fhYPQwQ== +1:eJztnQlUFFe6x2fey5nzTubMyRgnL85kTOIKCMZoMiooIKK4hBlFMyKKjvJc +kRgTEQkmgKISAwaNGBO2gAMaQBHFBRTNiEqUVQGBCIjsYLN3N713vd4wbFVd +3V1dfav6+50zczRt36r6/ve7VdXbb5zXxyu2/NdvfvOb3f+j+L8VG/c6ffrp +xs9W/lHxl3/u3L19687Nm5bs9N28dfOns73+W/EfwxT/e1Px75V/xgAAAAAA +oIyeksM3WqVMGZYMEl6XSG6SLY8A+8prhpgkRDn/WXF9n5EmMjo9wr7aApik +JX2f78FD7sHfHgs8WtRWkx1mN2rUnNh6ieZxaev5xX96ebxPSmFp1qHpo/68 +LCqXI8bkwqZb4Qumb0ss6tEkJ+fXZF4t7JaONOzDXmV+wsYbcdE/XrtX1igQ +NaXv/+L7lPTkyAM/lHAVD0o7865k1Roes7guerH1hAkTLeb6FXENHYwK2FVe +M4WWELta0lxtrN6ZNm3aOxZ/nbKntE8ubH4Q6zZxVoxmO+zsEXbVlmXIDCiI +pO57p8UZ1UXBWS381ttVXDm/bJ+TzWtW/iV9qsdFtXGrPd/6s8P1Dgzj5q+f +NOPYU5H6mcInpz7O69YMI227suez250y3GGFtT9s+r/TT4WqR7l5/3rX7W6P +Ys+fX3SxO/iL8r/K2rP37M18btiFC7do/7Yzpd3oXMezq7wMBvkeedL27PYz +vnIvpU3Jaz9/xFeNXPO17dyYF6ssC3uEXbU1LuLnOV8tmRNULsD6yvY6LM9s +HzqnZb2lydEp168nBm08eL9HvxkvqY9f6XVHUVde8U6H9bk9+u9uX9l+O8uF +m9ekNqprzH8ctvfsJzbj/nm9Q5ETvzRs77kEuzdHSFZUHbO7QJOsoHy/y64i +Hu6wsrb0v0+2Dzp+5JNV8/4ZXtx6f+2k908oB+q5t2KSffpz1Yzg5m1feLBS +oP+hYMLaaO9ltuNGj1sc/J8OXeeIrCN7m2dCPa8hedfmb2uEAx+SC55lxSVl +XI33nfHqq29PtrCYuuDwL7/uqJSTfcDD8Z23Xxk13spmpseltgGbZlN5KUP/ +UusCw3qkH8Xit8a/WP3vhqx+Ju4RvVc2kzfIix0xbm2NT3eOp0vkU0FrhteB +vN4h5Zd13tzx98gaRXmElQfnrcnt1WcD8vZrK5eebZZiwl8Ozl6Q2irT/hR8 +ZL3F0Rsn/a+V+/GCHpky2f2FlQmOb9pF1Yk6cgK+Lq3LmKslWUlDrNOwvRg4 +bPf9VZZO1xQzUd55Y4WF07nG1uywHVsDjsVG+1n9dWF2p+oJ0sbT8+cnNRl8 +1SB5nu3/vtWmfB3v9Hty19nuyMmNP3GjTTLoAXn3nd1ukdUi5VoV6+x6bWhD +yQStHKG8rzTIPaF+8DPVD7OsvBSgd6l1gWk9onlEsfh5+BZo5u6w1c/EPaLf +ymb6BqG1tngIqyPcVx2tMujUJag47Bp4P/90fMnQ6isuL9OW2odVKavDf/jp +goDSPn02wCvwdgn9Rago1b/nzQ59ItT+DGJ6Sg78ePazWTbehTx+efiBkt6u +nzzHW35yNckvpUHEuaxJlle42XJ6eHX/3WhV1L5i9ewRVYfNWZTZgT/snVsf +Wjgph8DET4/PnnmkSj2GYkbYv+V4WnNZIXuevtD+RK3Y0INRFvnCIhcd15K+ +0j1T/jJ1xvpbnUMj67y5Yk5guXJCiKqOLvjXzyNeCwgrw1dHPcXZd1aV1/AG +MbDUJGFajxSqLqUVi9/qXXn9xz1s9TNtjxiyspm0QWiu7cjIeorT0oq7DbrC +ETze7+T5RVL1CGeN3lz3SbaJyhMj71GI58n+MumG4irMduHVdrmo5nunKese +9Bqws321Z7NbJMoPUdQ/iZjnlt3JLwsNfMhVTKFgm9HWntkdMjknY446WUlD +nN3kVZr1QMa59XnSM/Xuy1rPucyPb5TiDnu94ozL+77K1zcF5YEO6/7TpXrL +uSZm2SSHwyU8zRwV133ntCSDY8hlqlikKoW4Nsr98GOd1j5xbaSD86kzXjPX +ZrUPufZpTZ1vq1qshdWnPIJHftNTUhezaM2NYSslu8qrqYehDWJgqUnCuB5R +3VpKm1PcfX5+8cLdsNXPpD2CGbCymbZBaKqtIezFp6Wlpf9f9ebv2JZYP9LJ +T1ARNPWNWa5BCZfSk+J/asU5P2oZX9p81snScb7nrv1hEcveWxZ+kfhDDYSj +iZvT9u39+vuv1wYe+yrohzJOdVaI3cx9V6r5oqbUTYdK+NLeR6nbx70yYeeF +Cp5Mzis7temDVTsCQkJDDx6Oe/TiukX0NNJ1y8BXsgcPW86XC6rjdmz44rvE +6IP7LzSKhY0340N8NvjFPxzQ8d05G/8R9Yz4koHwWPglvrZTnH2OxyfEpVfx +cUoy8nMljaed7cKqeE1n1i89dG/wsilpPrfdzT/+8qXEuBuNOJe+koYfnCcv +ucIZun4xrLyGo71BDC010YaY3SOqxW/Vtrv9b0uLOx4mffj2ZO+LFf0fgDJp +jyjRe2UzdYNQVFtpW8bWj/J0vpUWc+7EbnOxdzsSHjXSSbkfUcOViLDoxJNb +J7/8u9ddfEJO15I+80vqouxnhxPfqAienvFxeGvUm4uPlit3Qs59dGxfdM2A +TcjbMz90Pknyrk3raCoM/jy5vCcvfN+VoUPoMqyk5WJARNGwe+yBkDsWYqRd +edG7Pdds2ukbcCimuMegW1PSMKO82jF+g5AEegQPU/UImZUNH2bUFlO9F7PQ +9VaX7jvYfdtt4qxj6afKcc9K8t68PTMdo+rEmLAy2Op1u+QWHRYnce0J23f9 +yojeWhHWp8bc5Yh6Hnw+baJHbi8maUp0nXe4YkjT2PqRe39G+2jUIeksulXU +pef0kHQW3HxI/GQqjkVQETrXcu35JmNfuRsBY5eXHEZuEHJAj+Bhsh4hsbIZ +G1oaRN8zC69gi+X0wPRvCoe/HqhBxrm8eOw01bmZm+9lbR8z0ocdDEImVnWi +pCHOwe54Tft9vyUBD/S/1KR2NNNi+LHwi73H/eGN+SvcFazeFFrBN86OMg5J +c6rXIschLPW51z20uig0CAY9gg/0iFH4tUFsLUeNnjYHt0Fw6Cvba23tnRZ5 +G//7MpKG2L+NeU/RLjJO5vYPQ4u5RpuB3AcbHHenhHgM/3Sf6UczLfofS3eO +y5jxHz2EZtETpBoEgx7BB3rEOOh3zyKqDptu6ZlyKrHgbnYZzmdJZNzHPwZ4 ++55Ivph+qwbvDTBK4D/82HqK85clOm9E2pV/7kLxkO/Y6j2aaaH4WIRPQqe+ +Nj2iyuBPoJonaDUIBj2iAnqERvQ7swgqD9jbrNiwcmdsKRenbdozN1iNHf37 +l36r4KU/zthtxN/d4T/yXx72WI8XLrvvrrOwWJcz+EZN79FMC9XHIueWfOs1 +z27ZFr/A4JCIjBYGvt9iQtBqEAx6RAX0CI3o/Q4+IeKWa1+GnK9Tn8zlks78 +Y/73qd5GP5KWlA1uyVR9H5Ta0UwLm46FZdDZIBj0CD5sOhb2I209v2jiAs1v +MClu+quyL95oMtIto4xz2X3i+9/gfWPVpKOZFjYdC8ugs0Ew6BF82HQs5oCc +Vxq23GrM2HddVm/1PxKVVthhhA+9aDbVkbVk6sqUFmo2QO1opoVNx8I2aGwQ +DHoEHzYdCwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGBUDP4ZUlqHJYOE1yVC +6WvW7KuwGcK+ENFpE/bV1tyRtKTv8z14yD3422OBR4vaarLD7EaNmhP74jcG +pa3nF//p5fE+KYWlWYemj/rzsqhcjhiTC5tuhS+Yvi2xqN98IOfXZF4tfPH7 +E4OGfdjVkuZqY/XOtGnT3rH465Q9pbzuB0e3uM6xGvfumpOPVV6FzrwrWcR2 +DVKI66IXW0+YMNFirp9xvxmuA+yqsJlikhD5vY+iAz/a8MHf3lsTV6f87Xp2 +tgm7assmZAZUQ1L3vdPijOqi4KwWfuvtKq6cX7bPyeY1K/8S9a9GiGrjVnu+ +9ecRFNXCJ6c+zut37Ejbruz57HanbORhn7Q9u/1M9etG0qbktZ8/6qhNjCvs +kSkGj3aY8IH6dxRk7dl79mbi/woiKbhF+7edKe1G6hqFXRVmMIxrE25v5b1G +gdJO/Y39wvNq5zAL24RdtTU2so7sbZ4J9byG5F2bv60Z8CVlKSf7gIfjO2+/ +Mmq8lc1Mj0tt+h2HpD5+pdcdRVF5xTsd1g8UrelKX9l+O8uFm9ekakzq/Mdh +e89+YjPun9c7FOXml4btPZdg9+YIsYqqY3YXaGIVlO932VXEIxhWjSLVNf7F +PLm0T6pqc37xzjmb8jRXTdy87QsPVhqizBDWRnsvsx03etzi4P906FZY8fOc +r5bMCSoXKH/r12F5ZvswA3hvaXJ0yvXriUEbD97vGfioXPAsKy4p42q874xX +X317soXF1AWHfxlwGGyqMGVoKRq0iSJEzd/EjRlfhOd29S+ZJm0TgpVN/w5i +U22NTk/uOtsdObnxJ260DfqarEzQyhHK+0qD3BMMcVrI26+tXHq2WaoUgc9e +kNpqkHdJ1lscvXHS/1q5Hy9QXOUqYt1fWJng+KZdVJ2oIyfg69K6jLlaYpU0 +xDoN24vBw6pQpOrhW/Dr7Te/9KvNUS9mp7Tx9Pz5SYb/EJLkebb/+1ab8nW9 +ze/O8XSJfCpozfAa/rPkss6bO/4eWaOUt1cenLcm91cnlrz7zm63SKWqRFIf +6+x6bVhDYeyrsMFoKxq0SX+I4ue5sR+7jB+75DuNDt7UbYK3sinRr4Mw9tUW +D2F1hPuqo1UGnLr6SvdM+cvUGetvjShPElaGr44y6Bd/eAXeLqG/CBV1+ve8 +2aFPDP7hpp6SAz+e/WyWjXchj18efqCkt+snz/GWn1xN8ktpEHEua2LlFW62 +nP5CViqsitpXrJ4fouqwOYsyO4iGVf5VkerqXS/80nJu2ZmYnPZfU5Q9T19o +f4KkfJYQWduFRS46LySCisOugffzT8eXDNNdyNrSltqHVSmPnP/w0wUBA0SG +nTdXzAksV84VUdXRBf/6GcfDyKoKG9wgpIoGbdKP6OnxuQ4/NKhXctO2CeHK +pl8HqWFZbUdG1lOcllbcrf8Vjrg20sH51BmvmWuz2oePIqmLWbTmBq6wjwSK +SzDbhVfb5aKa752mrHuAY9EgRV/t2ewWifITFPVPIua5ZXfyy0IDH3IVkyTY +ZrS1Z3aHTM7JmKOOVdIQZzd5lWZOyTi3Pk/SnOtlredc5sc3SgmGVfw3aXOK +u8/P6lck5IK6rPO32xQRynh1Vb2qZ4rrvnNaksExoC5ysUhVCnFtlPvhx7ou +fILH+508v0gaSf7em+s+yTZReS3DexTieXKACVzWmjrf9oiyY4TVpzyCR3g/ +lFUV1hy0gQ2ivWgYtMkAZK0XVu24q3kByaRtQryy6dVB7KqtIezFp6WlRfkv +JI2nne3CqnhNZ9YvPXRvWANKGn5wnrzkCodwohONL20+62TpON9z1/6wiGXv +LQu/qPUTDfijiZvT9u39+vuv1wYe+yrohzJOdVaI3cx9V6r5oqbUTYdK+NLe +R6nbx70yYeeFCp5Mzis7temDVTsCQkJDDx6Oe/TiykT0NNJ1y8CXsQcPW676 +cFJzyqptd1X3ruLGM+ssxltYK5hiY/+5xqzdnbPxH1HPtF4v4B8Lv8TXdoqz +z/H4hLj0KgId0shVxXrzd2xLrB9p+4KKoKlvzHINSriUnhT/U+ugfyJpPrfd +zT/+8qXEuBuNI10VM6zC0raMrR/l4dx5kUJ7g2gvGgZtoni0IcHdeVXAdz+m +Jv1Y8MLfbso20bKy6ddBzKutPog5d2K3udi7HQmPGunM24+o4UpEWHTiya2T +X/7d6y4+IadrqXvXR/D0jI/DW6PeXHy0XLkHcu6jY/uiawaML2/P/ND5JMlb +Nq2jqTD4U9/ynrzwfVeGDqHLsJKWiwERRYTaVXLHQoy0Ky96t+eaTTt9Aw7F +FPeQuoyV1EXZzw4feJmlO8yoMKZVe4RAg6iBNsHDVG1CAIkOYkZtDaH7ttvE +WcfST5XjXrbJe/P2zHSMqhNjwspgq9ftklsMLfwAhPWpMXc5op4Hn0+b6JHb +i0maEl3nHa4Y0jG2fsNep9RzNOqQdBbdKurSc25IOgtuPiR+MhXHIqgInWu5 +9nyTTlcl4toTtu/6lZneQ2jsCqvQKtQzcYOogTbBw2RtQgBdHURLg+gLr2CL +5fTA9G8KcV/glXEuLx47TXUC5uZ7WdvHGPLplRGGF6vaUNIQ52B3vKb9vt+S +gAf6n0apHc20GH4s/GLvcX94Y/4KdwWrN4VW8I2zo0xE0pzqtchRia3lqNHT +5qj+uNTnXvfQApu8QTQbgTbBAdrEKPzaIAMYqUFw6Cvba23tnRZ5G//7MpKG +2L+NeU/RLjJO5vYPQ4u5xpmB3AcbHHenhHgM//ye6UczLfofS3eOy5jxHz2E +TiFAyz0LOg2iBtoED2gTlBBVh0239Ew5lVhwN7sM57MkMu7jHwO8fU8kX0y/ +VUPwBpiB8B9+bD3F+csSnbcg7co/d6F4yBds9R7NtFB8LMInoVNfmx5RZTy9 +LvMhPrMg1CBqoE0waBMGIKg8YG+zYsPKnbGlXJy2ac/cYDV29O9f+q2Cl/44 +Y7exfneH/8h/edhjPV6a7L67zsJiXc7guzS9RzMtVB+LnFvyrdc8u2Vb/AKD +QyIyWsAiPgziMwtCDaIG2gSDNmEB4pZrX4acr1OfzOWSzvxj/vcJ3uzUH0lL +yga3ZKq+DErtaKaFTcfCPmhrEDXQJniw6VjYj7T1/KKJC9Kfqy/WZNyq7Is3 +moxxyyjjXHaf+P43Bn3/2FijmRY2HQv7oK1B1ECb4MGmYzEH5LzSsOVWY8a+ +67J6q/+RqLTCDiN86EW5nY6sJVNXprRQMzq1o5kWNh0LC6GrQTRbgzbBgU3H +AgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJBHwusSMesbxuYN5AUAALKI66IX +W0+YMNFirp9xvxQNUALkBQAAHjJUrja5Rfu3nSnthq/kagWNyCCvQaARCgCY +EEl9/EqvO90Yxive6bA+t0f7MwiR9ZYmR6dcv54YtPHg/R59G0xYG+29zHbc +6HGLg//ToetyJevI3uaZUM9rSN61+duaAV+pFj/P+WrJnKBygfIXcB2WZ7YP +3D254FlWXFLG1XjfGa+++vZkC4upCw7/8qslQsrJPuDh+M7br4wab2Uz0+NS +mwkXUcoiIyyILhgnL83DuDMKqcgoC4XS3SaorZbq6YrWuUTNygAwBXn7tZVL +zzZLlRLu2QtSWw1zHsk6b+74e2SNUhheeXDemlxDJLKKZn2e7f++1aZ8HV9d +6cldZ7sjJzf+xI22YV/q7c7xdIl8KmjN8Br8Y93y7ju73SKVig5Jfayz67Wh +fSETtHKE8r7SIPcEY9g7dILSyPAKog9GyItgRqEVGWWhULvbuLXVVj19IJpL +1K4MAD0IqyPcVx2t0ut6g1fg7RL6ixCTNv173uzQJ4b9aJKsLW2pfViVUvLJ +f/jpggByhjzCAS8sctGxTftK90z5y9QZ62+NpHoSVBx2Dbyffzq+ZPDU77y5 +Yk5gubKCoqqjC/7184gTX1gZvjqKmt82QiYyvILoB+V5EcwouiMjhtJQKNtt +/NqSqp6OEMwlylcGgA5kPcVpacXd+lwmKa6wbBdebZeLar53mrLuAY7Bgiy9 +ue6TbBOVP1jKexTieVJ/E7tcLFLtibg2yv3wY53WX3FtpIPzqTNeM9dmtQ8/ +GsHj/U6eXyQNVaLLWlPn2x5RTnxh9SmP4JHfg5bUxSxacwNXTagTyESGUxAd +MVpe+DOK9sgIoTYUqnYbv7akqqcrBHOJspUBQIe9I9HS0qJ8TNp81snScb7n +rv1hEcveWxZ+sbZPy3QmGk1QETT1jVmuQQmX0pPif2rVdsmFPxS/xNd2irPP +8fiEuPQqAhPQCM+VNJ52tgur4jWdWb/00L1hS3dv/o5tifXD90zSfG67m3/8 +5UuJcTcacS44JQ0/OE9ecoWjbdWQtmVs/SjPkItA+iLDLYhO4xgtL6IZRWVk +ZKAxFFK7PeIIg8Yhqi2Z6umyLSX4c0mXlcHw9gEoQMy5E7vNxd7tSHjU8EsF +wdMzPg5vjXpz8dFy5WNy7qNj+6JrBlxRytszP3Q+WUvurlvraJK6KPvZ4WQu +R7QORQJpV170bs81m3b6BhyKKe6hYu2gCC3+XJQiI4mp8iI/o4wKmqEoETVc +iQiLTjy5dfLLv3vdxSfkdK3+b8EbcVs65ailfQC66L7tNnHWsfRT5UPP8sL6 +1Ji7HFHPg8+nTfTI7cUkTYmu8w5XDGkIWz9yL3lqH01ce8L2Xb8y7aNpH0o7 +gorQuZZrzzehKHTQ2hrIREYOk+VFekYZFTRDUW62N2/PTMeoOjEmrAy2et0u +ucV4l1cGbUu3HOHMgga8gi2W0wPTvykc/qqsTKxKX9IQ52B3vKb9vt+SgAf6 +v01L4WiGD8Uv9h73hzfmr3BXsHpTaAVfr/2gFklzqtciRyW2lqNGT5uj+uNS +n3vdQ4+McZGxMy9sYGQDGBYZmqEobVmLx05T3Qlw872s7WOM+Ak4GrZFun0A +Wugr22tt7Z0Wefs5/qfeuQ82OO5OCfEw/GOlFI+m/1DdOS5jxn/0EJEFagha +LrqYGxlL8yILYqFIGmL/NuY9xRov42Ru/zC0mGvEJZjObcE9CwqIqsOmW3qm +nEosuJtdhveBFP7Dj62nOH9ZQvDW6shIu/LPXSge8sVq/UajcCglwiehU1+b +HlFlPLOsARC3BjMiM6e8yGLyUAYj4z7+McDb90TyxfRbNXqPgt624MyCAoLK +A/Y2Kzas3BlbysV94ZP/yH952GM9Xq3uvrvOwmJdzuD7Uf1Go3AoFXJuybde +8+yWbfELDA6JyGhB6f0W4tZgRmTmlBdZTB7KQGTtmRusxo7+/Uu/VfDSH2fs +NuKvtdG5LTizMAZJS8oGt+Qmin7ZgsLRqN0xNoFmZGaeF1KhiFuufRlyvk59 +CyiXdOYf879vrLWYzm0BjEHGuew+8f1vKPoWMoWjUbtjbALNyMw8L6RCkbae +XzRxQfpz9S2vjFuVffFGk5FeaKRzWwBzkHdkLZm6MqWFmk9yUDgatTvGJtCM +zMzzQisUOa80bLnVmLHvuqze6n8kKq2ww3ix0LktAAAAAAAAAAAAAAAAAAAA +AAAAADA/wKOKDpAFOkAWAKAjFPqIKTacEthUKXS2ouRRZZzTVvUwRfUxxBZt +BJD0dKtGMnVT0J8FwECok9sawXCKZ1OlWDWLikeVaU5b1aaorI++tmgjgK6n +28RNYYIsACZCnUeVesMpoamWQtUsKh5VpjltMarrY5AtmlqQ9XSbuilMkAXA +QKjzqFJvOCU21VKomkXEo8o0p60SautjiC2aWhD1dJu+KUyQBYAodHlUqTac +ajELU+RsVUKfR5WuLDBanLY61MewIHSbWiShLwsKq2T6pjBKFgCzQNejqoYe +myoaHlV0s6CrPrTKcwlB1tOtBPmmAMwdZD2qmo3TYlNFxKOKbBa01YdOeS4x +yHq6MUY0BQAg6lHVDEeLTRUZjyqiWdDmtKVnQ4z2C2MsagqMbBYAk0HMo6qG +HsMpch5VxLKgrT50BkEWxLLA2NgUAJtBzKOqhh7DKXIeVcSyoK0+dAZBFsSy +wNjYFACbQcqjqoYewymCHlWksqCtPvQGQRakssDY2RQAe0HKo6qGHsMpgh5V +pLKgrT4IBoEhlgVmxk0BMBKkPKpq6DGcIuhRRSoL2uqDYBAYYllgZtwUADNB +y6OqGYUWwyl6HlW0sqCtPugFgaGWBWa+TQEAAAAAAAAAAAAAAAAAAAAAAAAA +AAFgZUUHyAIdIAsA0BFG2oo1Dxvfk0up9lcrzDPkUh46+7KgxxytVbqt85Zw +Jw/YigESMNJWrIIOTy7FBlgtMM+QaxR3LbuyoM8cTSTd1hX8yQO2YoAUjLUV +0+PJVUKdAVYLDDTkGsNdy74s6DFHE9VNRwgmD9iKATIw11ZMiydXCYUGWGIY +aMg1iruWfVnQY44mqJuu4E8esBUD/dBlZaXXVkyTJxcjaYDFULMV02TIpTp0 +JRRkQQb6sqDHHE1UN122ghFPHp1txWT6AmAW6Bpy1bDLk4uUrRjB+phgWzig +2xdoqIp1mzzaIPUb4ACDQNaQq9k42zy5KNmKUawP3dvCA9m+QEVVrJukWytw +ZmEd6FpZMRZ5chltK8ZoDIKGbTHaVswmVTFGti8AJoOelRVjoyeXibZijF53 +LVqeXMSyYKuqGO5ZWAt6VlaMjZ5cJtqKMXrdtWh5chHLgq2qYjizsBbUrKwY +Oz25zLMVY/S6a1Hz5CKVBXtVxXBmYSmoWVkxM/bkopYFnfWBLAgAVTHAMFCz +smJm7MlFLQs66wNZEACqYoBpIGdlxczXk4tcFnTWB7Igej6oigEAAAAAAAAA +AAAAAAAAAAAAAAAAGAGwsqIDZIEOkAU6QBYMgTIrK6W+VFwrK+XKWpSsrBTa +irWInslDpz6YpVnQZ/GmzVnMUHM0PWuUkaYrGlmQhlJDLnW+VDwrK9XKWqSs +rFRmQSh61hGa9MEszYJmizctzmKGmqOVGH+NMs50RSQL8lBqZaXMl0poZaVQ +WYuWlZXCLIgLqCP06IPZmgXNFm96nMVKmGmOpmGNMsZ0RSUL0lBrZaXKl0ps +ZaVQWYuUlZXCLIgLqCv06INZmgXdFm9anMVKGGqONv4aZZTpikgWg6DRykqR +L1WLlZUi9ytmAisrTVloKaCOVTJYH2zWWdBs8abJWYwx1hxNwxplBIU3jVmQ +Aays6FhZIQvIgixsTAQPdLNASeFNTxZkASsrOlZWyAKyIAlLExkZZLNAS+FN +SxY6AFZWdKyskAVkQW44tiQC5mh0tkUuC90BKys6VlbIArIghK2JaAGxLMxX +4a0TYGVFx8oKWUAWhLA1ES0gloX5Krx1Aqys6FhZIQvIggD2JqIFpLIwZ4W3 +DoCVFR0rK2QBWRBgtokglYU5K7x1AKys6FhZIQvIggCzTQSpLMxZ4a0LYGVF +x8oKWUAWhKOYaSJoZWHGCm8AAAAAAAAAAAAAAAAAAAAAAAAAQcAEig6QBTpA +FugAWTAEhhlyWW0CpTALJfjyX51HokWPqyVZhmZBlyFX9TBlibMzC7rWKNWW +2JkFaRhmyGW1CZRSKyuB/Fd36NDjakuWwVnQYMhVQl3i7M2CjjVKCVuzIA/T +DLlsNoFSamXVclA6QYsel1SyzMyCHos3hYmzNgu6LN6szYI0TDPkstkESq2V +lfigdIIWPS6pZBmaBT0Wb+oSZ20WtFm82ZrFIGgygdJkyGW2CZSmLLQflJZB +Bg1Fkx6XTLJks0DJVozRZPGmMHG2ZkGbxRvVLKgCTKBktsVKK6tuB4WGHpdC +mGorNqBEKCauArIw3oZMA5hASW2LlVZWXQ4KFT0ulTDSVmxQidBLvB/Iwmgb +MhVgAkXHBIpoFhiL9LgYw23FtPUFZKF9IHZlYSzABIqOCRSxLDCW6nGZaCum +rUSQhVbYmgXFgAkUHRMoYllgLNXjMtFWTFuJIAutsDULigETKDomUKSywFir +x2WerZi2EkEWWmFvFpQCJlAatkUSpLLAzFiPiyGWBW0lgiy0YuZZkAVMoDRs +iyRIZYGZsR4XQywL2koEWWjFzLMgDZhA0TGBopUFZr56XAy1LGgrEWSh/flm +nQUAAAAAGIX/B3gN0VE= "], {{0, 139}, {542, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -1885,7 +1885,7 @@ FgAAAABgFP4fhYPQwQ== ImageRegion->{{0, 1}, {0, 1}}, CellTags->{"Chisholm", "RasterizedOutput"}, CellLabel->"Out[15]=", - CellID->1904366312] + CellID->2139407513] }, Open ]], Cell[TextData[{ @@ -2129,7 +2129,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Chisholm", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -2141,7 +2141,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 22.899026}", + "built" -> "{2020, 6, 20, 19, 2, 57.431765}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -2172,7 +2172,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6225, 190, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1890694887]}, + CellID->1819697314]}, "Chisholm"->{ Cell[6859, 219, 167, 5, 27, "Input", CellTags->"Chisholm", @@ -2199,18 +2199,18 @@ CellTagsIndex->{ CellID->1694713808], Cell[43030, 1674, 12522, 213, 153, "Output", CellTags->{"Chisholm", "RasterizedOutput"}, - CellID->1904366312]}, + CellID->2139407513]}, "RasterizedOutput"->{ Cell[43030, 1674, 12522, 213, 153, "Output", CellTags->{"Chisholm", "RasterizedOutput"}, - CellID->1904366312]} + CellID->2139407513]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 63271, 2171}, - {"Chisholm", 63407, 2175}, - {"RasterizedOutput", 64268, 2202} + {"PrimaryExamplesSection", 63273, 2171}, + {"Chisholm", 63409, 2175}, + {"RasterizedOutput", 64270, 2202} } *) (*NotebookFileOutline @@ -2224,21 +2224,21 @@ Cell[3900, 112, 419, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4344, 128, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1698842247], -Cell[5086, 154, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1956487543], +Cell[5086, 154, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5142, 158, 91, 2, 70, "Input"], -Cell[5236, 162, 928, 21, 93, "Output"] +Cell[5142, 158, 91, 2, 27, "Input"], +Cell[5236, 162, 928, 21, 94, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell[6225, 190, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1890694887], + CellID->1819697314], Cell[CellGroupData[{ Cell[6638, 209, 196, 6, 26, "ExampleSection", - CellID->1569818548], + CellID->1704469344], Cell[CellGroupData[{ Cell[6859, 219, 167, 5, 27, "Input", CellTags->"Chisholm", @@ -2316,7 +2316,7 @@ Cell[42898, 1668, 129, 4, 27, "Input", CellID->1694713808], Cell[43030, 1674, 12522, 213, 153, "Output", CellTags->{"Chisholm", "RasterizedOutput"}, - CellID->1904366312] + CellID->2139407513] }, Open ]], Cell[55567, 1890, 214, 6, 32, "Notes"], Cell[CellGroupData[{ diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collect2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collect2.nb index 063feabec..fd7d1cd6c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collect2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collect2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 28886, 1018] -NotebookOptionsPosition[ 21653, 788] -NotebookOutlinePosition[ 25759, 901] -CellTagsIndexPosition[ 25647, 895] +NotebookDataLength[ 28832, 1017] +NotebookOptionsPosition[ 21655, 788] +NotebookOutlinePosition[ 25703, 900] +CellTagsIndexPosition[ 25591, 894] WindowTitle->Collect2 WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$41494], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$41599], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Collect2", ".html"]], None}]}]}, @@ -158,7 +158,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->128945674], + CellID->1891491257], Cell["", "SectionHeaderSpacer"], @@ -190,7 +190,7 @@ Cell[BoxData[ RowBox[{"Numerator", "\[Rule]", "False"}], ",", RowBox[{"TimeConstrained", "\[Rule]", "\[Infinity]"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{505, 72}, + ImageSize->{505, 73}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Collect2", @@ -216,7 +216,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->831624772], + CellID->873885773], Cell[CellGroupData[{ @@ -226,7 +226,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->762042712], + CellID->1208283812], Cell[CellGroupData[{ @@ -801,7 +801,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 26.725008}", + "built" -> "{2020, 6, 20, 19, 3, 1.002234}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -827,8 +827,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -838,64 +837,64 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Collect2"->{ - Cell[5641, 166, 135, 4, 70, "Input", + Cell[5642, 166, 135, 4, 27, "Input", CellTags->"Collect2", CellID->538422816], - Cell[5779, 172, 1026, 24, 93, "Output", + Cell[5780, 172, 1026, 24, 94, "Output", CellTags->"Collect2"], - Cell[7498, 232, 459, 15, 50, "Input", + Cell[7500, 232, 459, 15, 50, "Input", CellTags->"Collect2", CellID->1914400776], - Cell[7960, 249, 537, 19, 55, "Output", + Cell[7962, 249, 537, 19, 55, "Output", CellTags->"Collect2"], - Cell[8534, 273, 203, 6, 27, "Input", + Cell[8536, 273, 203, 6, 27, "Input", CellTags->"Collect2", CellID->269033150], - Cell[8740, 281, 485, 17, 52, "Output", + Cell[8742, 281, 485, 17, 52, "Output", CellTags->"Collect2"], - Cell[9262, 303, 204, 6, 27, "Input", + Cell[9264, 303, 204, 6, 27, "Input", CellTags->"Collect2", CellID->772013483], - Cell[9469, 311, 537, 19, 55, "Output", + Cell[9471, 311, 537, 19, 55, "Output", CellTags->"Collect2"], - Cell[10710, 362, 543, 19, 33, "Input", + Cell[10712, 362, 543, 19, 33, "Input", CellTags->"Collect2", CellID->708606765], - Cell[11256, 383, 623, 21, 39, "Output", + Cell[11258, 383, 623, 21, 39, "Output", CellTags->"Collect2"], - Cell[11916, 409, 339, 11, 33, "Input", + Cell[11918, 409, 339, 11, 33, "Input", CellTags->"Collect2", CellID->741587872], - Cell[12258, 422, 801, 30, 40, "Output", + Cell[12260, 422, 801, 30, 40, "Output", CellTags->"Collect2"], - Cell[13096, 457, 122, 4, 27, "Input", + Cell[13098, 457, 122, 4, 27, "Input", CellTags->"Collect2", CellID->683646211], - Cell[13221, 463, 911, 30, 62, "Output", + Cell[13223, 463, 911, 30, 62, "Output", CellTags->"Collect2"], - Cell[15536, 547, 149, 5, 27, "Input", + Cell[15538, 547, 149, 5, 27, "Input", CellTags->"Collect2", CellID->1111657644], - Cell[15710, 556, 325, 10, 33, "Input", + Cell[15712, 556, 325, 10, 33, "Input", CellTags->"Collect2", CellID->1492093352], - Cell[16038, 568, 1022, 34, 63, "Output", + Cell[16040, 568, 1022, 34, 63, "Output", CellTags->"Collect2"], - Cell[17097, 607, 169, 5, 27, "Input", + Cell[17099, 607, 169, 5, 27, "Input", CellTags->"Collect2", CellID->1964581263], - Cell[17269, 614, 758, 24, 42, "Output", + Cell[17271, 614, 758, 24, 42, "Output", CellTags->"Collect2"]}, "PrimaryExamplesSection"->{ - Cell[6866, 203, 387, 15, 31, "PrimaryExamplesSection", + Cell[6867, 203, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->831624772]} + CellID->873885773]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Collect2", 23980, 839}, - {"PrimaryExamplesSection", 25504, 888} + {"Collect2", 23924, 838}, + {"PrimaryExamplesSection", 25448, 887} } *) (*NotebookFileOutline @@ -907,119 +906,119 @@ Cell[CellGroupData[{ Cell[3892, 112, 927, 20, 170, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4844, 136, 738, 24, 31, "NotesSection", +Cell[4844, 136, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->128945674], -Cell[5585, 162, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1891491257], +Cell[5586, 162, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5641, 166, 135, 4, 70, "Input", +Cell[5642, 166, 135, 4, 27, "Input", CellTags->"Collect2", CellID->538422816], -Cell[5779, 172, 1026, 24, 93, "Output", +Cell[5780, 172, 1026, 24, 94, "Output", CellTags->"Collect2"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6866, 203, 387, 15, 31, "PrimaryExamplesSection", +Cell[6867, 203, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->831624772], + CellID->873885773], Cell[CellGroupData[{ -Cell[7278, 222, 195, 6, 26, "ExampleSection", - CellID->762042712], +Cell[7279, 222, 196, 6, 26, "ExampleSection", + CellID->1208283812], Cell[CellGroupData[{ -Cell[7498, 232, 459, 15, 50, "Input", +Cell[7500, 232, 459, 15, 50, "Input", CellTags->"Collect2", CellID->1914400776], -Cell[7960, 249, 537, 19, 55, "Output", +Cell[7962, 249, 537, 19, 55, "Output", CellTags->"Collect2"] }, Open ]], Cell[CellGroupData[{ -Cell[8534, 273, 203, 6, 27, "Input", +Cell[8536, 273, 203, 6, 27, "Input", CellTags->"Collect2", CellID->269033150], -Cell[8740, 281, 485, 17, 52, "Output", +Cell[8742, 281, 485, 17, 52, "Output", CellTags->"Collect2"] }, Open ]], Cell[CellGroupData[{ -Cell[9262, 303, 204, 6, 27, "Input", +Cell[9264, 303, 204, 6, 27, "Input", CellTags->"Collect2", CellID->772013483], -Cell[9469, 311, 537, 19, 55, "Output", +Cell[9471, 311, 537, 19, 55, "Output", CellTags->"Collect2"] }, Open ]], Cell[CellGroupData[{ -Cell[10043, 335, 183, 5, 27, "Input", +Cell[10045, 335, 183, 5, 27, "Input", CellID->321654602], -Cell[10229, 342, 444, 15, 52, "Output"] +Cell[10231, 342, 444, 15, 52, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10710, 362, 543, 19, 33, "Input", +Cell[10712, 362, 543, 19, 33, "Input", CellTags->"Collect2", CellID->708606765], -Cell[11256, 383, 623, 21, 39, "Output", +Cell[11258, 383, 623, 21, 39, "Output", CellTags->"Collect2"] }, Open ]], Cell[CellGroupData[{ -Cell[11916, 409, 339, 11, 33, "Input", +Cell[11918, 409, 339, 11, 33, "Input", CellTags->"Collect2", CellID->741587872], -Cell[12258, 422, 801, 30, 40, "Output", +Cell[12260, 422, 801, 30, 40, "Output", CellTags->"Collect2"] }, Open ]], Cell[CellGroupData[{ -Cell[13096, 457, 122, 4, 27, "Input", +Cell[13098, 457, 122, 4, 27, "Input", CellTags->"Collect2", CellID->683646211], -Cell[13221, 463, 911, 30, 62, "Output", +Cell[13223, 463, 911, 30, 62, "Output", CellTags->"Collect2"] }, Open ]], Cell[CellGroupData[{ -Cell[14169, 498, 308, 10, 33, "Input", +Cell[14171, 498, 308, 10, 33, "Input", CellID->1338628687], -Cell[14480, 510, 1041, 34, 68, "Output"] +Cell[14482, 510, 1041, 34, 68, "Output"] }, Open ]], -Cell[15536, 547, 149, 5, 27, "Input", +Cell[15538, 547, 149, 5, 27, "Input", CellTags->"Collect2", CellID->1111657644], Cell[CellGroupData[{ -Cell[15710, 556, 325, 10, 33, "Input", +Cell[15712, 556, 325, 10, 33, "Input", CellTags->"Collect2", CellID->1492093352], -Cell[16038, 568, 1022, 34, 63, "Output", +Cell[16040, 568, 1022, 34, 63, "Output", CellTags->"Collect2"] }, Open ]], Cell[CellGroupData[{ -Cell[17097, 607, 169, 5, 27, "Input", +Cell[17099, 607, 169, 5, 27, "Input", CellTags->"Collect2", CellID->1964581263], -Cell[17269, 614, 758, 24, 42, "Output", +Cell[17271, 614, 758, 24, 42, "Output", CellTags->"Collect2"] }, Open ]], -Cell[18042, 641, 205, 6, 49, "Notes", +Cell[18044, 641, 205, 6, 49, "Notes", CellID->1064433782], -Cell[18250, 649, 732, 26, 45, "Input", +Cell[18252, 649, 732, 26, 45, "Input", CellID->18062506], Cell[CellGroupData[{ -Cell[19007, 679, 392, 10, 45, "Input", +Cell[19009, 679, 392, 10, 45, "Input", CellID->908574489], -Cell[19402, 691, 540, 20, 37, "Output"] +Cell[19404, 691, 540, 20, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[19979, 716, 447, 11, 45, "Input", +Cell[19981, 716, 447, 11, 45, "Input", CellID->1760353952], -Cell[20429, 729, 540, 20, 37, "Output"] +Cell[20431, 729, 540, 20, 37, "Output"] }, Open ]], -Cell[20984, 752, 87, 2, 27, "Input"] +Cell[20986, 752, 87, 2, 27, "Input"] }, Open ]], -Cell[21086, 757, 31, 0, 29, "SectionFooterSpacer"] +Cell[21088, 757, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[21154, 762, 270, 12, 31, "SeeAlsoSection", +Cell[21156, 762, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[21427, 776, 184, 7, 56, "SeeAlso"] +Cell[21429, 776, 184, 7, 56, "SeeAlso"] }, Open ]], -Cell[21626, 786, 23, 0, 41, "FooterCell"] +Cell[21628, 786, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collect3.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collect3.nb index 901b6fc31..b9c9b92d7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collect3.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collect3.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18370, 594] -NotebookOptionsPosition[ 14335, 472] -NotebookOutlinePosition[ 17093, 547] -CellTagsIndexPosition[ 16981, 541] +NotebookDataLength[ 18365, 594] +NotebookOptionsPosition[ 14334, 472] +NotebookOutlinePosition[ 17089, 547] +CellTagsIndexPosition[ 16977, 541] WindowTitle->Collect3 WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$41943], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$42048], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Collect3", ".html"]], None}]}]}, @@ -174,7 +174,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1905357201], + CellID->1631662817], Cell["", "SectionHeaderSpacer"], @@ -219,7 +219,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->455399486], + CellID->8316378], Cell[CellGroupData[{ @@ -229,7 +229,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->874052351], + CellID->1610871807], Cell[CellGroupData[{ @@ -425,7 +425,7 @@ Cell[BoxData[ RowBox[{"5", " ", "c", " ", SuperscriptBox["d", "4"]}], "-", SuperscriptBox["d", "5"]}], TraditionalForm]], "Output", - ImageSize->{651, 134}, + ImageSize->{505, 172}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Collect3", @@ -472,8 +472,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Collect3", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -485,7 +485,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 28.025504}", + "built" -> "{2020, 6, 20, 19, 3, 2.072387}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -522,26 +522,26 @@ CellTagsIndex->{ CellID->1015372413], Cell[6110, 188, 321, 11, 37, "Output", CellTags->"Collect3"], - Cell[7124, 235, 543, 19, 33, "Input", + Cell[7123, 235, 543, 19, 33, "Input", CellTags->"Collect3", CellID->956954453], - Cell[7670, 256, 607, 19, 37, "Output", + Cell[7669, 256, 607, 19, 37, "Output", CellTags->"Collect3"], - Cell[8314, 280, 307, 10, 33, "Input", + Cell[8313, 280, 307, 10, 33, "Input", CellTags->"Collect3", CellID->860117715], - Cell[8624, 292, 4958, 139, 155, "Output", + Cell[8623, 292, 4958, 139, 193, "Output", CellTags->"Collect3"]}, "PrimaryExamplesSection"->{ - Cell[6492, 206, 387, 15, 31, "PrimaryExamplesSection", + Cell[6492, 206, 385, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->455399486]} + CellID->8316378]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Collect3", 16340, 518}, - {"PrimaryExamplesSection", 16838, 534} + {"Collect3", 16338, 518}, + {"PrimaryExamplesSection", 16836, 534} } *) (*NotebookFileOutline @@ -555,7 +555,7 @@ Cell[3978, 113, 1170, 35, 120, "Usage", Cell[CellGroupData[{ Cell[5173, 152, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1905357201], + CellID->1631662817], Cell[5915, 178, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5971, 182, 136, 4, 70, "Input", @@ -567,35 +567,35 @@ Cell[6110, 188, 321, 11, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6492, 206, 387, 15, 31, "PrimaryExamplesSection", +Cell[6492, 206, 385, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->455399486], + CellID->8316378], Cell[CellGroupData[{ -Cell[6904, 225, 195, 6, 26, "ExampleSection", - CellID->874052351], +Cell[6902, 225, 196, 6, 26, "ExampleSection", + CellID->1610871807], Cell[CellGroupData[{ -Cell[7124, 235, 543, 19, 33, "Input", +Cell[7123, 235, 543, 19, 33, "Input", CellTags->"Collect3", CellID->956954453], -Cell[7670, 256, 607, 19, 37, "Output", +Cell[7669, 256, 607, 19, 37, "Output", CellTags->"Collect3"] }, Open ]], Cell[CellGroupData[{ -Cell[8314, 280, 307, 10, 33, "Input", +Cell[8313, 280, 307, 10, 33, "Input", CellTags->"Collect3", CellID->860117715], -Cell[8624, 292, 4958, 139, 155, "Output", +Cell[8623, 292, 4958, 139, 193, "Output", CellTags->"Collect3"] }, Open ]] }, Open ]], -Cell[13609, 435, 31, 0, 29, "SectionFooterSpacer"] +Cell[13608, 435, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[13677, 440, 270, 12, 31, "SeeAlsoSection", +Cell[13676, 440, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13950, 454, 343, 13, 56, "SeeAlso"] +Cell[13949, 454, 343, 13, 56, "SeeAlso"] }, Open ]], -Cell[14308, 470, 23, 0, 41, "FooterCell"] +Cell[14307, 470, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collecting.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collecting.nb index 3943a9f05..539e5d1ae 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collecting.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Collecting.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7488, 225] +NotebookDataLength[ 7487, 225] NotebookOptionsPosition[ 5395, 168] -NotebookOutlinePosition[ 7279, 217] -CellTagsIndexPosition[ 7236, 214] +NotebookOutlinePosition[ 7278, 217] +CellTagsIndexPosition[ 7235, 214] WindowTitle->Collecting WindowFrame->Normal*) @@ -82,7 +82,7 @@ Collecting.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$42381], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$42486], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Collecting", ".html"]], None}]}]}, @@ -181,7 +181,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 29.305607}", + "built" -> "{2020, 6, 20, 19, 3, 3.150449}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Combine.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Combine.nb index c6cccd1cb..d6d57c584 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Combine.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Combine.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13853, 483] +NotebookDataLength[ 13854, 483] NotebookOptionsPosition[ 9479, 347] -NotebookOutlinePosition[ 12341, 427] -CellTagsIndexPosition[ 12230, 421] +NotebookOutlinePosition[ 12342, 427] +CellTagsIndexPosition[ 12231, 421] WindowTitle->Combine WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$43271], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$43376], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Combine", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->53518265], + CellID->400424272], Cell["", "SectionHeaderSpacer"], @@ -196,7 +196,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1626179003], + CellID->2052329237], Cell[CellGroupData[{ @@ -206,7 +206,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1194284115], + CellID->236555385], Cell[CellGroupData[{ @@ -347,8 +347,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowSize->{808, 840}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"Combine", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -360,7 +360,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 31.336054}", + "built" -> "{2020, 6, 20, 19, 3, 4.759430}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -392,10 +392,10 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Combine"->{ - Cell[5308, 161, 133, 4, 70, "Input", + Cell[5309, 161, 133, 4, 70, "Input", CellTags->"Combine", CellID->194899276], - Cell[5444, 167, 259, 9, 37, "Output", + Cell[5445, 167, 259, 9, 37, "Output", CellTags->"Combine"], Cell[6398, 212, 301, 11, 53, "Input", CellTags->"Combine", @@ -413,15 +413,15 @@ CellTagsIndex->{ Cell[8496, 299, 389, 13, 56, "Output", CellTags->"Combine"]}, "PrimaryExamplesSection"->{ - Cell[5764, 183, 388, 15, 31, "PrimaryExamplesSection", + Cell[5765, 183, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1626179003]} + CellID->2052329237]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Combine", 11446, 393}, - {"PrimaryExamplesSection", 12086, 414} + {"Combine", 11447, 393}, + {"PrimaryExamplesSection", 12087, 414} } *) (*NotebookFileOutline @@ -433,26 +433,26 @@ Cell[CellGroupData[{ Cell[3886, 112, 601, 15, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4512, 131, 737, 24, 31, "NotesSection", +Cell[4512, 131, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->53518265], -Cell[5252, 157, 31, 0, 70, "SectionHeaderSpacer"], + CellID->400424272], +Cell[5253, 157, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5308, 161, 133, 4, 70, "Input", +Cell[5309, 161, 133, 4, 70, "Input", CellTags->"Combine", CellID->194899276], -Cell[5444, 167, 259, 9, 37, "Output", +Cell[5445, 167, 259, 9, 37, "Output", CellTags->"Combine"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5764, 183, 388, 15, 31, "PrimaryExamplesSection", +Cell[5765, 183, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1626179003], + CellID->2052329237], Cell[CellGroupData[{ -Cell[6177, 202, 196, 6, 26, "ExampleSection", - CellID->1194284115], +Cell[6178, 202, 195, 6, 26, "ExampleSection", + CellID->236555385], Cell[CellGroupData[{ Cell[6398, 212, 301, 11, 53, "Input", CellTags->"Combine", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CombineGraphs.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CombineGraphs.nb index 8d6cb2a3c..2169372fe 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CombineGraphs.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CombineGraphs.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6771, 206] +NotebookDataLength[ 6770, 206] NotebookOptionsPosition[ 4784, 151] -NotebookOutlinePosition[ 6564, 198] -CellTagsIndexPosition[ 6521, 195] +NotebookOutlinePosition[ 6563, 198] +CellTagsIndexPosition[ 6520, 195] WindowTitle->CombineGraphs WindowFrame->Normal*) @@ -79,7 +79,7 @@ CombineGraphs.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$42825], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$42930], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CombineGraphs", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 30.319164}", + "built" -> "{2020, 6, 20, 19, 3, 3.949736}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Commutator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Commutator.nb index 7bfce04b6..4968cc04b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Commutator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Commutator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16617, 572] +NotebookDataLength[ 16559, 571] NotebookOptionsPosition[ 11348, 404] -NotebookOutlinePosition[ 14741, 503] -CellTagsIndexPosition[ 14627, 497] +NotebookOutlinePosition[ 14683, 502] +CellTagsIndexPosition[ 14569, 496] WindowTitle->Commutator WindowFrame->Normal*) @@ -85,7 +85,7 @@ Commutator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$44153], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$44258], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Commutator", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->620734353], + CellID->200786218], Cell[CellGroupData[{ @@ -161,7 +161,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->837014992], + CellID->776860237], Cell[BoxData[ RowBox[{"DeclareNonCommutative", "[", @@ -186,7 +186,7 @@ Cell[BoxData[ TraditionalForm], "\[NoBreak]", ",", FormBox["b", TraditionalForm], "\[NoBreak]", "]"}], TraditionalForm]], "Output", - ImageSize->{46, 14}, + ImageSize->{46, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Commutator", @@ -404,8 +404,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Commutator", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -417,7 +417,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 33.651179}", + "built" -> "{2020, 6, 20, 19, 3, 6.772518}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -437,8 +437,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -450,7 +449,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4818, 138, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->620734353]}, + CellID->200786218]}, "Commutator"->{ Cell[5428, 165, 186, 5, 27, "Input", CellTags->"Commutator", @@ -458,7 +457,7 @@ CellTagsIndex->{ Cell[5639, 174, 154, 5, 27, "Input", CellTags->"Commutator", CellID->922767227], - Cell[5796, 181, 334, 11, 35, "Output", + Cell[5796, 181, 334, 11, 37, "Output", CellTags->"Commutator"], Cell[6167, 197, 140, 4, 27, "Input", CellTags->"Commutator", @@ -486,18 +485,18 @@ CellTagsIndex->{ CellID->1391154075], Cell[9670, 332, 191, 6, 35, "Output", CellTags->"Commutator"], - Cell[9876, 341, 132, 4, 27, "Input", + Cell[9876, 341, 132, 4, 70, "Input", CellTags->"Commutator", CellID->1837954422], - Cell[10011, 347, 179, 5, 27, "Input", + Cell[10011, 347, 179, 5, 70, "Input", CellTags->"Commutator", CellID->2037252072]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13222, 449}, - {"Commutator", 13359, 453} + {"PrimaryExamplesSection", 13164, 448}, + {"Commutator", 13301, 452} } *) (*NotebookFileOutline @@ -510,10 +509,10 @@ Cell[4225, 116, 568, 18, 85, "Usage", Cell[CellGroupData[{ Cell[4818, 138, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->620734353], + CellID->200786218], Cell[CellGroupData[{ Cell[5230, 157, 195, 6, 26, "ExampleSection", - CellID->837014992], + CellID->776860237], Cell[5428, 165, 186, 5, 27, "Input", CellTags->"Commutator", CellID->2000059968], @@ -521,7 +520,7 @@ Cell[CellGroupData[{ Cell[5639, 174, 154, 5, 27, "Input", CellTags->"Commutator", CellID->922767227], -Cell[5796, 181, 334, 11, 35, "Output", +Cell[5796, 181, 334, 11, 37, "Output", CellTags->"Commutator"] }, Open ]], Cell[CellGroupData[{ @@ -559,19 +558,19 @@ Cell[9534, 326, 133, 4, 27, "Input", Cell[9670, 332, 191, 6, 35, "Output", CellTags->"Commutator"] }, Open ]], -Cell[9876, 341, 132, 4, 27, "Input", +Cell[9876, 341, 132, 4, 70, "Input", CellTags->"Commutator", CellID->1837954422], -Cell[10011, 347, 179, 5, 27, "Input", +Cell[10011, 347, 179, 5, 70, "Input", CellTags->"Commutator", CellID->2037252072] }, Open ]], -Cell[10205, 355, 31, 0, 29, "SectionFooterSpacer"] +Cell[10205, 355, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10273, 360, 270, 12, 31, "SeeAlsoSection", +Cell[10273, 360, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[10546, 374, 760, 25, 56, "SeeAlso"] +Cell[10546, 374, 760, 25, 70, "SeeAlso"] }, Open ]], Cell[11321, 402, 23, 0, 70, "FooterCell"] } diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CommutatorExplicit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CommutatorExplicit.nb index 0483ffd26..a0febd319 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CommutatorExplicit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CommutatorExplicit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14328, 490] +NotebookDataLength[ 14268, 489] NotebookOptionsPosition[ 9375, 341] -NotebookOutlinePosition[ 12651, 431] -CellTagsIndexPosition[ 12529, 425] +NotebookOutlinePosition[ 12591, 430] +CellTagsIndexPosition[ 12469, 424] WindowTitle->CommutatorExplicit WindowFrame->Normal*) @@ -80,7 +80,7 @@ CommutatorExplicit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$43708], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$43813], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CommutatorExplicit", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->888736535], + CellID->1906551133], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1117516388], + CellID->509525847], Cell[BoxData[ RowBox[{"DeclareNonCommutative", "[", @@ -176,7 +176,7 @@ Cell[BoxData[ TraditionalForm], "\[NoBreak]", ",", FormBox["b", TraditionalForm], "\[NoBreak]", "]"}], TraditionalForm]], "Output", - ImageSize->{46, 14}, + ImageSize->{46, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"CommutatorExplicit", @@ -231,7 +231,7 @@ Cell[BoxData[ TraditionalForm], FormBox["\<\"}\"\>", TraditionalForm]}], TraditionalForm]], "Output", - ImageSize->{115, 14}, + ImageSize->{115, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"CommutatorExplicit", @@ -341,8 +341,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"CommutatorExplicit", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -354,7 +354,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 32.437053}", + "built" -> "{2020, 6, 20, 19, 3, 5.764548}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -374,8 +374,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -385,9 +384,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4473, 128, 387, 15, 31, "PrimaryExamplesSection", + Cell[4473, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->888736535]}, + CellID->1906551133]}, "CommutatorExplicit"->{ Cell[5084, 155, 193, 5, 27, "Input", CellTags->"CommutatorExplicit", @@ -395,7 +394,7 @@ CellTagsIndex->{ Cell[5302, 164, 163, 5, 27, "Input", CellTags->"CommutatorExplicit", CellID->1546400369], - Cell[5468, 171, 342, 11, 35, "Output", + Cell[5468, 171, 342, 11, 37, "Output", CellTags->"CommutatorExplicit"], Cell[5847, 187, 148, 4, 27, "Input", CellTags->"CommutatorExplicit", @@ -405,7 +404,7 @@ CellTagsIndex->{ Cell[6305, 207, 215, 7, 27, "Input", CellTags->"CommutatorExplicit", CellID->1564234454], - Cell[6523, 216, 537, 21, 35, "Output", + Cell[6523, 216, 537, 21, 37, "Output", CellTags->"CommutatorExplicit"], Cell[7097, 242, 147, 4, 27, "Input", CellTags->"CommutatorExplicit", @@ -424,8 +423,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11292, 386}, - {"CommutatorExplicit", 11437, 390} + {"PrimaryExamplesSection", 11231, 385}, + {"CommutatorExplicit", 11377, 389} } *) (*NotebookFileOutline @@ -436,12 +435,12 @@ Cell[3719, 98, 295, 11, 45, "ObjectNameGrid"], Cell[4017, 111, 431, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4473, 128, 387, 15, 31, "PrimaryExamplesSection", +Cell[4473, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->888736535], + CellID->1906551133], Cell[CellGroupData[{ -Cell[4885, 147, 196, 6, 26, "ExampleSection", - CellID->1117516388], +Cell[4886, 147, 195, 6, 26, "ExampleSection", + CellID->509525847], Cell[5084, 155, 193, 5, 27, "Input", CellTags->"CommutatorExplicit", CellID->596826267], @@ -449,7 +448,7 @@ Cell[CellGroupData[{ Cell[5302, 164, 163, 5, 27, "Input", CellTags->"CommutatorExplicit", CellID->1546400369], -Cell[5468, 171, 342, 11, 35, "Output", +Cell[5468, 171, 342, 11, 37, "Output", CellTags->"CommutatorExplicit"] }, Open ]], Cell[CellGroupData[{ @@ -463,7 +462,7 @@ Cell[CellGroupData[{ Cell[6305, 207, 215, 7, 27, "Input", CellTags->"CommutatorExplicit", CellID->1564234454], -Cell[6523, 216, 537, 21, 35, "Output", +Cell[6523, 216, 537, 21, 37, "Output", CellTags->"CommutatorExplicit"] }, Open ]], Cell[CellGroupData[{ diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Complement1.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Complement1.nb index 65973fca8..983f4f9aa 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Complement1.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Complement1.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8435, 268] +NotebookDataLength[ 8380, 267] NotebookOptionsPosition[ 5585, 186] -NotebookOutlinePosition[ 7822, 244] -CellTagsIndexPosition[ 7738, 239] +NotebookOutlinePosition[ 7767, 243] +CellTagsIndexPosition[ 7683, 238] WindowTitle->Complement1 WindowFrame->Normal*) @@ -59,7 +59,7 @@ Complement1.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$44597], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$44702], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Complement1", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->395011177], + CellID->945059737], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1826473269], + CellID->1868983192], Cell[CellGroupData[{ @@ -149,7 +149,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"e", ",", "f"}], "}"}], TraditionalForm]], "Output", - ImageSize->{46, 14}, + ImageSize->{46, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[1]=", @@ -173,7 +173,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"e", ",", "f", ",", "e"}], "}"}], TraditionalForm]], "Output", - ImageSize->{65, 14}, + ImageSize->{65, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[2]=", @@ -187,7 +187,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Complement1", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -199,7 +199,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 34.890501}", + "built" -> "{2020, 6, 20, 19, 3, 7.859070}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -220,8 +220,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -233,12 +232,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3761, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->395011177]} + CellID->945059737]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7595, 232} + {"PrimaryExamplesSection", 7540, 231} } *) (*NotebookFileOutline @@ -251,20 +250,20 @@ Cell[3162, 89, 574, 14, 102, "Usage", Cell[CellGroupData[{ Cell[3761, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->395011177], + CellID->945059737], Cell[CellGroupData[{ Cell[4173, 126, 196, 6, 26, "ExampleSection", - CellID->1826473269], + CellID->1868983192], Cell[CellGroupData[{ Cell[4394, 136, 301, 9, 27, "Input", CellID->96347288], -Cell[4698, 147, 233, 8, 35, "Output", +Cell[4698, 147, 233, 8, 37, "Output", CellID->621941775] }, Open ]], Cell[CellGroupData[{ Cell[4968, 160, 304, 9, 27, "Input", CellID->1748046804], -Cell[5275, 171, 244, 8, 35, "Output", +Cell[5275, 171, 244, 8, 37, "Output", CellID->1849514241] }, Open ]] }, Open ]] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CompleteSquare.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CompleteSquare.nb index 4d8953024..863689ce8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CompleteSquare.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CompleteSquare.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13259, 465] +NotebookDataLength[ 13200, 464] NotebookOptionsPosition[ 9432, 351] -NotebookOutlinePosition[ 12245, 427] -CellTagsIndexPosition[ 12127, 421] +NotebookOutlinePosition[ 12186, 426] +CellTagsIndexPosition[ 12068, 420] WindowTitle->CompleteSquare WindowFrame->Normal*) @@ -59,7 +59,7 @@ CompleteSquare.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$45025], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$45130], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CompleteSquare", ".html"]], None}]}]}, @@ -148,7 +148,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1405876143], + CellID->550511005], Cell[CellGroupData[{ @@ -158,7 +158,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->242596955], + CellID->1465899488], Cell[CellGroupData[{ @@ -351,8 +351,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"CompleteSquare", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -364,7 +364,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 36.091089}", + "built" -> "{2020, 6, 20, 19, 3, 8.876245}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -386,8 +386,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -397,9 +396,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4449, 135, 388, 15, 31, "PrimaryExamplesSection", + Cell[4449, 135, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1405876143]}, + CellID->550511005]}, "CompleteSquare"->{ Cell[6500, 224, 163, 5, 27, "Input", CellTags->"CompleteSquare", @@ -420,8 +419,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11460, 398}, - {"CompleteSquare", 11602, 402} + {"PrimaryExamplesSection", 11402, 397}, + {"CompleteSquare", 11543, 401} } *) (*NotebookFileOutline @@ -432,12 +431,12 @@ Cell[2886, 76, 291, 11, 45, "ObjectNameGrid"], Cell[3180, 89, 1244, 42, 108, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4449, 135, 388, 15, 31, "PrimaryExamplesSection", +Cell[4449, 135, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1405876143], + CellID->550511005], Cell[CellGroupData[{ -Cell[4862, 154, 195, 6, 26, "ExampleSection", - CellID->242596955], +Cell[4861, 154, 196, 6, 26, "ExampleSection", + CellID->1465899488], Cell[CellGroupData[{ Cell[5082, 164, 231, 9, 27, "Input", CellID->42990982], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ComplexConjugate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ComplexConjugate.nb index fc0993d12..321d5d2c8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ComplexConjugate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ComplexConjugate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 43066, 1592] -NotebookOptionsPosition[ 36707, 1392] -NotebookOutlinePosition[ 39392, 1465] -CellTagsIndexPosition[ 39270, 1459] +NotebookDataLength[ 43068, 1592] +NotebookOptionsPosition[ 36708, 1392] +NotebookOutlinePosition[ 39393, 1465] +CellTagsIndexPosition[ 39271, 1459] WindowTitle->ComplexConjugate WindowFrame->Normal*) @@ -83,7 +83,7 @@ ComplexConjugate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$45490], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$45595], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ComplexConjugate", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->426363996], + CellID->1529286106], Cell["", "SectionHeaderSpacer"], @@ -212,7 +212,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1876031002], + CellID->1702587635], Cell[CellGroupData[{ @@ -222,7 +222,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1613801871], + CellID->2110068628], Cell[TextData[{ ButtonBox["ComplexConjugate", @@ -1405,7 +1405,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 37.373424}", + "built" -> "{2020, 6, 20, 19, 3, 10.040372}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1435,31 +1435,31 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6434, 199, 388, 15, 31, "PrimaryExamplesSection", + Cell[6435, 199, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1876031002]}, + CellID->1702587635]}, "ComplexConjugate"->{ - Cell[21640, 761, 201, 6, 27, "Input", + Cell[21641, 761, 201, 6, 27, "Input", CellTags->"ComplexConjugate", CellID->1865346448], - Cell[21844, 769, 749, 31, 40, "Output", + Cell[21845, 769, 749, 31, 40, "Output", CellTags->"ComplexConjugate"], - Cell[22630, 805, 144, 4, 27, "Input", + Cell[22631, 805, 144, 4, 27, "Input", CellTags->"ComplexConjugate", CellID->1483149425], - Cell[22777, 811, 749, 31, 40, "Output", + Cell[22778, 811, 749, 31, 40, "Output", CellTags->"ComplexConjugate"], - Cell[32639, 1225, 144, 4, 27, "Input", + Cell[32640, 1225, 144, 4, 27, "Input", CellTags->"ComplexConjugate", CellID->1414819233], - Cell[32786, 1231, 814, 31, 42, "Output", + Cell[32787, 1231, 814, 31, 42, "Output", CellTags->"ComplexConjugate"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 38581, 1436}, - {"ComplexConjugate", 38725, 1440} + {"PrimaryExamplesSection", 38582, 1436}, + {"ComplexConjugate", 38726, 1440} } *) (*NotebookFileOutline @@ -1471,129 +1471,129 @@ Cell[CellGroupData[{ Cell[4171, 116, 492, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4688, 133, 738, 24, 31, "NotesSection", +Cell[4688, 133, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->426363996], -Cell[5429, 159, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5463, 161, 157, 3, 70, "Notes"], -Cell[5623, 166, 116, 4, 70, "Notes"], + CellID->1529286106], +Cell[5430, 159, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5464, 161, 157, 3, 48, "Notes"], +Cell[5624, 166, 116, 4, 32, "Notes"], Cell[CellGroupData[{ -Cell[5764, 174, 100, 2, 70, "Input"], -Cell[5867, 178, 506, 14, 56, "Output"] +Cell[5765, 174, 100, 2, 27, "Input"], +Cell[5868, 178, 506, 14, 56, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6434, 199, 388, 15, 31, "PrimaryExamplesSection", +Cell[6435, 199, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1876031002], + CellID->1702587635], Cell[CellGroupData[{ -Cell[6847, 218, 196, 6, 26, "ExampleSection", - CellID->1613801871], -Cell[7046, 226, 525, 15, 49, "Notes"], +Cell[6848, 218, 196, 6, 26, "ExampleSection", + CellID->2110068628], +Cell[7047, 226, 525, 15, 49, "Notes"], Cell[CellGroupData[{ -Cell[7596, 245, 2050, 56, 189, "Input"], -Cell[9649, 303, 6776, 242, 118, "Output"] +Cell[7597, 245, 2050, 56, 189, "Input"], +Cell[9650, 303, 6776, 242, 118, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16462, 550, 105, 2, 9, "ExampleDelimiter"], -Cell[16570, 554, 202, 4, 49, "Notes"], +Cell[16463, 550, 105, 2, 9, "ExampleDelimiter"], +Cell[16571, 554, 202, 4, 49, "Notes"], Cell[CellGroupData[{ -Cell[16797, 562, 82, 2, 27, "Input"], -Cell[16882, 566, 295, 11, 37, "Output"] +Cell[16798, 562, 82, 2, 27, "Input"], +Cell[16883, 566, 295, 11, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[17214, 582, 92, 2, 27, "Input"], -Cell[17309, 586, 295, 11, 37, "Output"] +Cell[17215, 582, 92, 2, 27, "Input"], +Cell[17310, 586, 295, 11, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[17641, 602, 78, 2, 27, "Input"], -Cell[17722, 606, 255, 9, 40, "Output"] +Cell[17642, 602, 78, 2, 27, "Input"], +Cell[17723, 606, 255, 9, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[18014, 620, 92, 2, 27, "Input"], -Cell[18109, 624, 277, 10, 40, "Output"] +Cell[18015, 620, 92, 2, 27, "Input"], +Cell[18110, 624, 277, 10, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[18423, 639, 604, 18, 63, "Input"], -Cell[19030, 659, 1321, 48, 42, "Output"] +Cell[18424, 639, 604, 18, 63, "Input"], +Cell[19031, 659, 1321, 48, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[20388, 712, 92, 2, 27, "Input"], -Cell[20483, 716, 1120, 40, 42, "Output"] +Cell[20389, 712, 92, 2, 27, "Input"], +Cell[20484, 716, 1120, 40, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[21640, 761, 201, 6, 27, "Input", +Cell[21641, 761, 201, 6, 27, "Input", CellTags->"ComplexConjugate", CellID->1865346448], -Cell[21844, 769, 749, 31, 40, "Output", +Cell[21845, 769, 749, 31, 40, "Output", CellTags->"ComplexConjugate"] }, Open ]], Cell[CellGroupData[{ -Cell[22630, 805, 144, 4, 27, "Input", +Cell[22631, 805, 144, 4, 27, "Input", CellTags->"ComplexConjugate", CellID->1483149425], -Cell[22777, 811, 749, 31, 40, "Output", +Cell[22778, 811, 749, 31, 40, "Output", CellTags->"ComplexConjugate"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[23575, 848, 105, 2, 9, "ExampleDelimiter"], -Cell[23683, 852, 238, 7, 32, "Notes"], +Cell[23576, 848, 105, 2, 9, "ExampleDelimiter"], +Cell[23684, 852, 238, 7, 32, "Notes"], Cell[CellGroupData[{ -Cell[23946, 863, 281, 8, 27, "Input"], -Cell[24230, 873, 907, 37, 37, "Output"] +Cell[23947, 863, 281, 8, 27, "Input"], +Cell[24231, 873, 907, 37, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[25174, 915, 92, 2, 27, "Input"], -Cell[25269, 919, 1234, 45, 40, "Output"] +Cell[25175, 915, 92, 2, 27, "Input"], +Cell[25270, 919, 1234, 45, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[26540, 969, 245, 8, 27, "Input"], -Cell[26788, 979, 1104, 46, 43, "Output"] +Cell[26541, 969, 245, 8, 27, "Input"], +Cell[26789, 979, 1104, 46, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[27929, 1030, 92, 2, 27, "Input"], -Cell[28024, 1034, 1281, 48, 43, "Output"] +Cell[27930, 1030, 92, 2, 27, "Input"], +Cell[28025, 1034, 1281, 48, 43, "Output"] }, Open ]], -Cell[29320, 1085, 294, 9, 32, "Notes"], +Cell[29321, 1085, 294, 9, 32, "Notes"], Cell[CellGroupData[{ -Cell[29639, 1098, 377, 11, 45, "Input"], -Cell[30019, 1111, 965, 40, 43, "Output"] +Cell[29640, 1098, 377, 11, 45, "Input"], +Cell[30020, 1111, 965, 40, 43, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[31033, 1157, 105, 2, 9, "ExampleDelimiter"], -Cell[31141, 1161, 171, 5, 32, "Notes"], +Cell[31034, 1157, 105, 2, 9, "ExampleDelimiter"], +Cell[31142, 1161, 171, 5, 32, "Notes"], Cell[CellGroupData[{ -Cell[31337, 1170, 311, 10, 27, "Input"], -Cell[31651, 1182, 951, 38, 42, "Output"] +Cell[31338, 1170, 311, 10, 27, "Input"], +Cell[31652, 1182, 951, 38, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[32639, 1225, 144, 4, 27, "Input", +Cell[32640, 1225, 144, 4, 27, "Input", CellTags->"ComplexConjugate", CellID->1414819233], -Cell[32786, 1231, 814, 31, 42, "Output", +Cell[32787, 1231, 814, 31, 42, "Output", CellTags->"ComplexConjugate"] }, Open ]], Cell[CellGroupData[{ -Cell[33637, 1267, 485, 15, 45, "Input"], -Cell[34125, 1284, 867, 34, 43, "Output"] +Cell[33638, 1267, 485, 15, 45, "Input"], +Cell[34126, 1284, 867, 34, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[35029, 1323, 84, 2, 27, "Input"], -Cell[35116, 1327, 604, 17, 86, "Output"] +Cell[35030, 1323, 84, 2, 27, "Input"], +Cell[35117, 1327, 604, 17, 86, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[35759, 1349, 31, 0, 29, "SectionFooterSpacer"] +Cell[35760, 1349, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[35827, 1354, 270, 12, 31, "SeeAlsoSection", +Cell[35828, 1354, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[36100, 1368, 565, 19, 56, "SeeAlso"] +Cell[36101, 1368, 565, 19, 56, "SeeAlso"] }, Open ]], -Cell[36680, 1390, 23, 0, 41, "FooterCell"] +Cell[36681, 1390, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Contract.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Contract.nb index f94dcc512..07476479f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Contract.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Contract.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 55258, 2256] -NotebookOptionsPosition[ 43309, 1857] -NotebookOutlinePosition[ 48855, 2019] -CellTagsIndexPosition[ 48741, 2013] +NotebookDataLength[ 55198, 2255] +NotebookOptionsPosition[ 43307, 1857] +NotebookOutlinePosition[ 48797, 2018] +CellTagsIndexPosition[ 48683, 2012] WindowTitle->Contract WindowFrame->Normal*) @@ -84,7 +84,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$45954], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$46059], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Contract", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1149440211], + CellID->1580525544], Cell["", "SectionHeaderSpacer"], @@ -185,7 +185,7 @@ Cell[BoxData[ RowBox[{"Rename", "\[Rule]", "False"}], ",", RowBox[{"Schouten", "\[Rule]", "0"}]}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{497, 53}, + ImageSize->{497, 54}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[438]="] @@ -210,7 +210,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1601292756], + CellID->796416382], Cell[CellGroupData[{ @@ -220,7 +220,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1005230717], + CellID->490871094], Cell[CellGroupData[{ @@ -1858,7 +1858,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Contract", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1870,7 +1870,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 38.721837}", + "built" -> "{2020, 6, 20, 19, 3, 11.348709}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1893,8 +1893,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1904,116 +1903,116 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6661, 197, 388, 15, 31, "PrimaryExamplesSection", + Cell[6661, 197, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1601292756]}, + CellID->796416382]}, "Contract"->{ - Cell[7295, 226, 234, 8, 27, "Input", + Cell[7293, 226, 234, 8, 27, "Input", CellTags->"Contract", CellID->2011968461], - Cell[7532, 236, 740, 32, 37, "Output", + Cell[7530, 236, 740, 32, 37, "Output", CellTags->"Contract"], - Cell[8309, 273, 126, 4, 27, "Input", + Cell[8307, 273, 126, 4, 27, "Input", CellTags->"Contract", CellID->26500400], - Cell[8438, 279, 384, 16, 37, "Output", + Cell[8436, 279, 384, 16, 37, "Output", CellTags->"Contract"], - Cell[8859, 300, 201, 7, 27, "Input", + Cell[8857, 300, 201, 7, 27, "Input", CellTags->"Contract", CellID->2005973076], - Cell[9063, 309, 636, 27, 37, "Output", + Cell[9061, 309, 636, 27, 37, "Output", CellTags->"Contract"], - Cell[9736, 341, 128, 4, 27, "Input", + Cell[9734, 341, 128, 4, 27, "Input", CellTags->"Contract", CellID->1342373134], - Cell[9867, 347, 351, 13, 37, "Output", + Cell[9865, 347, 351, 13, 37, "Output", CellTags->"Contract"], - Cell[10255, 365, 153, 5, 27, "Input", + Cell[10253, 365, 153, 5, 27, "Input", CellTags->"Contract", CellID->2121383633], - Cell[10411, 372, 412, 17, 37, "Output", + Cell[10409, 372, 412, 17, 37, "Output", CellTags->"Contract"], - Cell[10927, 396, 128, 4, 27, "Input", + Cell[10925, 396, 128, 4, 27, "Input", CellTags->"Contract", CellID->1110085557], - Cell[11058, 402, 189, 6, 35, "Output", + Cell[11056, 402, 189, 6, 35, "Output", CellTags->"Contract"], - Cell[11378, 417, 241, 8, 27, "Input", + Cell[11376, 417, 241, 8, 27, "Input", CellTags->"Contract", CellID->1404498417], - Cell[11622, 427, 466, 19, 39, "Output", + Cell[11620, 427, 466, 19, 39, "Output", CellTags->"Contract"], - Cell[12125, 451, 127, 4, 27, "Input", + Cell[12123, 451, 127, 4, 27, "Input", CellTags->"Contract", CellID->587791315], - Cell[12255, 457, 189, 6, 35, "Output", + Cell[12253, 457, 189, 6, 35, "Output", CellTags->"Contract"], - Cell[12481, 468, 230, 8, 27, "Input", + Cell[12479, 468, 230, 8, 27, "Input", CellTags->"Contract", CellID->1721182838], - Cell[12714, 478, 710, 31, 37, "Output", + Cell[12712, 478, 710, 31, 37, "Output", CellTags->"Contract"], - Cell[13461, 514, 133, 4, 27, "Input", + Cell[13459, 514, 133, 4, 27, "Input", CellTags->"Contract", CellID->460754742], - Cell[13597, 520, 460, 19, 37, "Output", + Cell[13595, 520, 460, 19, 37, "Output", CellTags->"Contract"], - Cell[14094, 544, 281, 10, 27, "Input", + Cell[14092, 544, 281, 10, 27, "Input", CellTags->"Contract", CellID->1283410538], - Cell[14378, 556, 1084, 45, 42, "Output", + Cell[14376, 556, 1084, 45, 42, "Output", CellTags->"Contract"], - Cell[15499, 606, 128, 4, 27, "Input", + Cell[15497, 606, 128, 4, 27, "Input", CellTags->"Contract", CellID->803101401], - Cell[15630, 612, 1366, 59, 39, "Output", + Cell[15628, 612, 1366, 59, 39, "Output", CellTags->"Contract"], - Cell[17033, 676, 283, 10, 27, "Input", + Cell[17031, 676, 283, 10, 27, "Input", CellTags->"Contract", CellID->1863771818], - Cell[17319, 688, 956, 41, 37, "Output", + Cell[17317, 688, 956, 41, 37, "Output", CellTags->"Contract"], - Cell[18312, 734, 129, 4, 27, "Input", + Cell[18310, 734, 129, 4, 27, "Input", CellTags->"Contract", CellID->2021554764], - Cell[18444, 740, 1142, 51, 37, "Output", + Cell[18442, 740, 1142, 51, 37, "Output", CellTags->"Contract"], - Cell[19623, 796, 275, 9, 27, "Input", + Cell[19621, 796, 275, 9, 27, "Input", CellTags->"Contract", CellID->1720608034], - Cell[19901, 807, 941, 40, 37, "Output", + Cell[19899, 807, 941, 40, 37, "Output", CellTags->"Contract"], - Cell[20879, 852, 128, 4, 27, "Input", + Cell[20877, 852, 128, 4, 27, "Input", CellTags->"Contract", CellID->634794036], - Cell[21010, 858, 615, 26, 38, "Output", + Cell[21008, 858, 615, 26, 38, "Output", CellTags->"Contract"], - Cell[21662, 889, 317, 10, 27, "Input", + Cell[21660, 889, 317, 10, 27, "Input", CellTags->"Contract", CellID->1343624460], - Cell[21982, 901, 1165, 49, 37, "Output", + Cell[21980, 901, 1165, 49, 37, "Output", CellTags->"Contract"], - Cell[23184, 955, 128, 4, 27, "Input", + Cell[23182, 955, 128, 4, 27, "Input", CellTags->"Contract", CellID->530322977], - Cell[23315, 961, 471, 19, 39, "Output", + Cell[23313, 961, 471, 19, 39, "Output", CellTags->"Contract"], - Cell[23823, 985, 314, 10, 27, "Input", + Cell[23821, 985, 314, 10, 27, "Input", CellTags->"Contract", CellID->730363468], - Cell[24140, 997, 1163, 49, 37, "Output", + Cell[24138, 997, 1163, 49, 37, "Output", CellTags->"Contract"], - Cell[25340, 1051, 159, 5, 27, "Input", + Cell[25338, 1051, 159, 5, 27, "Input", CellTags->"Contract", CellID->1284270864], - Cell[25502, 1058, 595, 23, 39, "Output", + Cell[25500, 1058, 595, 23, 39, "Output", CellTags->"Contract"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 45448, 1905}, - {"Contract", 45584, 1909} + {"PrimaryExamplesSection", 45391, 1904}, + {"Contract", 45526, 1908} } *) (*NotebookFileOutline @@ -2027,237 +2026,237 @@ Cell[4194, 117, 695, 16, 135, "Usage", Cell[CellGroupData[{ Cell[4914, 137, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1149440211], -Cell[5656, 163, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1580525544], +Cell[5656, 163, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5712, 167, 92, 2, 70, "Input"], -Cell[5807, 171, 793, 19, 74, "Output"] +Cell[5712, 167, 92, 2, 27, "Input"], +Cell[5807, 171, 793, 19, 75, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6661, 197, 388, 15, 31, "PrimaryExamplesSection", +Cell[6661, 197, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1601292756], + CellID->796416382], Cell[CellGroupData[{ -Cell[7074, 216, 196, 6, 26, "ExampleSection", - CellID->1005230717], +Cell[7073, 216, 195, 6, 26, "ExampleSection", + CellID->490871094], Cell[CellGroupData[{ -Cell[7295, 226, 234, 8, 27, "Input", +Cell[7293, 226, 234, 8, 27, "Input", CellTags->"Contract", CellID->2011968461], -Cell[7532, 236, 740, 32, 37, "Output", +Cell[7530, 236, 740, 32, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[8309, 273, 126, 4, 27, "Input", +Cell[8307, 273, 126, 4, 27, "Input", CellTags->"Contract", CellID->26500400], -Cell[8438, 279, 384, 16, 37, "Output", +Cell[8436, 279, 384, 16, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[8859, 300, 201, 7, 27, "Input", +Cell[8857, 300, 201, 7, 27, "Input", CellTags->"Contract", CellID->2005973076], -Cell[9063, 309, 636, 27, 37, "Output", +Cell[9061, 309, 636, 27, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[9736, 341, 128, 4, 27, "Input", +Cell[9734, 341, 128, 4, 27, "Input", CellTags->"Contract", CellID->1342373134], -Cell[9867, 347, 351, 13, 37, "Output", +Cell[9865, 347, 351, 13, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[10255, 365, 153, 5, 27, "Input", +Cell[10253, 365, 153, 5, 27, "Input", CellTags->"Contract", CellID->2121383633], -Cell[10411, 372, 412, 17, 37, "Output", +Cell[10409, 372, 412, 17, 37, "Output", CellTags->"Contract"] }, Open ]], -Cell[10838, 392, 64, 0, 32, "Notes"], +Cell[10836, 392, 64, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[10927, 396, 128, 4, 27, "Input", +Cell[10925, 396, 128, 4, 27, "Input", CellTags->"Contract", CellID->1110085557], -Cell[11058, 402, 189, 6, 35, "Output", +Cell[11056, 402, 189, 6, 35, "Output", CellTags->"Contract"] }, Open ]], -Cell[11262, 411, 91, 2, 32, "Notes"], +Cell[11260, 411, 91, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[11378, 417, 241, 8, 27, "Input", +Cell[11376, 417, 241, 8, 27, "Input", CellTags->"Contract", CellID->1404498417], -Cell[11622, 427, 466, 19, 39, "Output", +Cell[11620, 427, 466, 19, 39, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[12125, 451, 127, 4, 27, "Input", +Cell[12123, 451, 127, 4, 27, "Input", CellTags->"Contract", CellID->587791315], -Cell[12255, 457, 189, 6, 35, "Output", +Cell[12253, 457, 189, 6, 35, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[12481, 468, 230, 8, 27, "Input", +Cell[12479, 468, 230, 8, 27, "Input", CellTags->"Contract", CellID->1721182838], -Cell[12714, 478, 710, 31, 37, "Output", +Cell[12712, 478, 710, 31, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[13461, 514, 133, 4, 27, "Input", +Cell[13459, 514, 133, 4, 27, "Input", CellTags->"Contract", CellID->460754742], -Cell[13597, 520, 460, 19, 37, "Output", +Cell[13595, 520, 460, 19, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[14094, 544, 281, 10, 27, "Input", +Cell[14092, 544, 281, 10, 27, "Input", CellTags->"Contract", CellID->1283410538], -Cell[14378, 556, 1084, 45, 42, "Output", +Cell[14376, 556, 1084, 45, 42, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[15499, 606, 128, 4, 27, "Input", +Cell[15497, 606, 128, 4, 27, "Input", CellTags->"Contract", CellID->803101401], -Cell[15630, 612, 1366, 59, 39, "Output", +Cell[15628, 612, 1366, 59, 39, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[17033, 676, 283, 10, 27, "Input", +Cell[17031, 676, 283, 10, 27, "Input", CellTags->"Contract", CellID->1863771818], -Cell[17319, 688, 956, 41, 37, "Output", +Cell[17317, 688, 956, 41, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[18312, 734, 129, 4, 27, "Input", +Cell[18310, 734, 129, 4, 27, "Input", CellTags->"Contract", CellID->2021554764], -Cell[18444, 740, 1142, 51, 37, "Output", +Cell[18442, 740, 1142, 51, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[19623, 796, 275, 9, 27, "Input", +Cell[19621, 796, 275, 9, 27, "Input", CellTags->"Contract", CellID->1720608034], -Cell[19901, 807, 941, 40, 37, "Output", +Cell[19899, 807, 941, 40, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[20879, 852, 128, 4, 27, "Input", +Cell[20877, 852, 128, 4, 27, "Input", CellTags->"Contract", CellID->634794036], -Cell[21010, 858, 615, 26, 38, "Output", +Cell[21008, 858, 615, 26, 38, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[21662, 889, 317, 10, 27, "Input", +Cell[21660, 889, 317, 10, 27, "Input", CellTags->"Contract", CellID->1343624460], -Cell[21982, 901, 1165, 49, 37, "Output", +Cell[21980, 901, 1165, 49, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[23184, 955, 128, 4, 27, "Input", +Cell[23182, 955, 128, 4, 27, "Input", CellTags->"Contract", CellID->530322977], -Cell[23315, 961, 471, 19, 39, "Output", +Cell[23313, 961, 471, 19, 39, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[23823, 985, 314, 10, 27, "Input", +Cell[23821, 985, 314, 10, 27, "Input", CellTags->"Contract", CellID->730363468], -Cell[24140, 997, 1163, 49, 37, "Output", +Cell[24138, 997, 1163, 49, 37, "Output", CellTags->"Contract"] }, Open ]], Cell[CellGroupData[{ -Cell[25340, 1051, 159, 5, 27, "Input", +Cell[25338, 1051, 159, 5, 27, "Input", CellTags->"Contract", CellID->1284270864], -Cell[25502, 1058, 595, 23, 39, "Output", +Cell[25500, 1058, 595, 23, 39, "Output", CellTags->"Contract"] }, Open ]], -Cell[26112, 1084, 295, 10, 32, "Notes"], +Cell[26110, 1084, 295, 10, 32, "Notes"], Cell[CellGroupData[{ -Cell[26432, 1098, 174, 6, 27, "Input"], -Cell[26609, 1106, 1014, 43, 40, "Output"] +Cell[26430, 1098, 174, 6, 27, "Input"], +Cell[26607, 1106, 1014, 43, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[27660, 1154, 85, 2, 27, "Input"], -Cell[27748, 1158, 495, 21, 40, "Output"] +Cell[27658, 1154, 85, 2, 27, "Input"], +Cell[27746, 1158, 495, 21, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[28280, 1184, 151, 5, 27, "Input"], -Cell[28434, 1191, 949, 40, 40, "Output"] +Cell[28278, 1184, 151, 5, 27, "Input"], +Cell[28432, 1191, 949, 40, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[29420, 1236, 85, 2, 27, "Input"], -Cell[29508, 1240, 510, 20, 37, "Output"] +Cell[29418, 1236, 85, 2, 27, "Input"], +Cell[29506, 1240, 510, 20, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[30055, 1265, 102, 3, 27, "Input"], -Cell[30160, 1270, 529, 22, 38, "Output"] +Cell[30053, 1265, 102, 3, 27, "Input"], +Cell[30158, 1270, 529, 22, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[30726, 1297, 85, 2, 27, "Input"], -Cell[30814, 1301, 167, 5, 35, "Output"] +Cell[30724, 1297, 85, 2, 27, "Input"], +Cell[30812, 1301, 167, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[31018, 1311, 126, 4, 27, "Input"], -Cell[31147, 1317, 621, 25, 38, "Output"] +Cell[31016, 1311, 126, 4, 27, "Input"], +Cell[31145, 1317, 621, 25, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[31805, 1347, 85, 2, 27, "Input"], -Cell[31893, 1351, 167, 5, 35, "Output"] +Cell[31803, 1347, 85, 2, 27, "Input"], +Cell[31891, 1351, 167, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[32097, 1361, 229, 8, 27, "Input"], -Cell[32329, 1371, 1539, 62, 43, "Output"] +Cell[32095, 1361, 229, 8, 27, "Input"], +Cell[32327, 1371, 1539, 62, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[33905, 1438, 85, 2, 27, "Input"], -Cell[33993, 1442, 1204, 50, 40, "Output"] +Cell[33903, 1438, 85, 2, 27, "Input"], +Cell[33991, 1442, 1204, 50, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[35234, 1497, 190, 6, 27, "Input"], -Cell[35427, 1505, 1179, 50, 41, "Output"] +Cell[35232, 1497, 190, 6, 27, "Input"], +Cell[35425, 1505, 1179, 50, 41, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[36643, 1560, 85, 2, 27, "Input"], -Cell[36731, 1564, 711, 30, 39, "Output"] +Cell[36641, 1560, 85, 2, 27, "Input"], +Cell[36729, 1564, 711, 30, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[37479, 1599, 206, 6, 27, "Input"], -Cell[37688, 1607, 1380, 58, 39, "Output"] +Cell[37477, 1599, 206, 6, 27, "Input"], +Cell[37686, 1607, 1380, 58, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[39105, 1670, 85, 2, 27, "Input"], -Cell[39193, 1674, 569, 23, 39, "Output"] +Cell[39103, 1670, 85, 2, 27, "Input"], +Cell[39191, 1674, 569, 23, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[39799, 1702, 208, 6, 27, "Input"], -Cell[40010, 1710, 1378, 58, 39, "Output"] +Cell[39797, 1702, 208, 6, 27, "Input"], +Cell[40008, 1710, 1378, 58, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[41425, 1773, 115, 3, 27, "Input"], -Cell[41543, 1778, 653, 26, 41, "Output"] +Cell[41423, 1773, 115, 3, 27, "Input"], +Cell[41541, 1778, 653, 26, 41, "Output"] }, Open ]] }, Open ]], -Cell[42223, 1808, 31, 0, 29, "SectionFooterSpacer"] +Cell[42221, 1808, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[42291, 1813, 270, 12, 31, "SeeAlsoSection", +Cell[42289, 1813, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[42564, 1827, 703, 25, 56, "SeeAlso"] +Cell[42562, 1827, 703, 25, 56, "SeeAlso"] }, Open ]], -Cell[43282, 1855, 23, 0, 41, "FooterCell"] +Cell[43280, 1855, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Convolute.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Convolute.nb index 320baba95..b2c337819 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Convolute.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Convolute.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 38708, 1444] -NotebookOptionsPosition[ 26735, 1045] -NotebookOutlinePosition[ 33235, 1236] -CellTagsIndexPosition[ 33120, 1230] +NotebookDataLength[ 38705, 1444] +NotebookOptionsPosition[ 26734, 1045] +NotebookOutlinePosition[ 33233, 1236] +CellTagsIndexPosition[ 33118, 1230] WindowTitle->Convolute WindowFrame->Normal*) @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$46427], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$46532], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Convolute", ".html"]], None}]}]}, @@ -200,7 +200,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->700798810], + CellID->1389529439], Cell["", "SectionHeaderSpacer"], @@ -250,7 +250,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1344503995], + CellID->468630048], Cell[CellGroupData[{ @@ -260,7 +260,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->427565618], + CellID->47856790], Cell[CellGroupData[{ @@ -1058,7 +1058,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 40.194292}", + "built" -> "{2020, 6, 20, 19, 3, 12.734971}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1091,146 +1091,146 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Convolute"->{ - Cell[6705, 208, 137, 4, 70, "Input", + Cell[6706, 208, 137, 4, 70, "Input", CellTags->"Convolute", CellID->846637972], - Cell[6845, 214, 488, 16, 37, "Output", + Cell[6846, 214, 488, 16, 37, "Output", CellTags->"Convolute"], - Cell[8027, 266, 287, 9, 29, "Input", + Cell[8026, 266, 287, 9, 29, "Input", CellTags->"Convolute", CellID->1183792130], - Cell[8317, 277, 239, 8, 37, "Output", + Cell[8316, 277, 239, 8, 37, "Output", CellTags->"Convolute"], - Cell[8593, 290, 286, 9, 29, "Input", + Cell[8592, 290, 286, 9, 29, "Input", CellTags->"Convolute", CellID->566730399], - Cell[8882, 301, 289, 10, 39, "Output", + Cell[8881, 301, 289, 10, 39, "Output", CellTags->"Convolute"], - Cell[9208, 316, 287, 9, 29, "Input", + Cell[9207, 316, 287, 9, 29, "Input", CellTags->"Convolute", CellID->1354290721], - Cell[9498, 327, 263, 9, 37, "Output", + Cell[9497, 327, 263, 9, 37, "Output", CellTags->"Convolute"], - Cell[9798, 341, 335, 11, 52, "Input", + Cell[9797, 341, 335, 11, 52, "Input", CellTags->"Convolute", CellID->694658515], - Cell[10136, 354, 266, 9, 55, "Output", + Cell[10135, 354, 266, 9, 55, "Output", CellTags->"Convolute"], - Cell[10439, 368, 383, 12, 52, "Input", + Cell[10438, 368, 383, 12, 52, "Input", CellTags->"Convolute", CellID->1694510014], - Cell[10825, 382, 266, 9, 55, "Output", + Cell[10824, 382, 266, 9, 55, "Output", CellTags->"Convolute"], - Cell[11128, 396, 335, 11, 52, "Input", + Cell[11127, 396, 335, 11, 52, "Input", CellTags->"Convolute", CellID->640655392], - Cell[11466, 409, 291, 10, 55, "Output", + Cell[11465, 409, 291, 10, 55, "Output", CellTags->"Convolute"], - Cell[11794, 424, 384, 13, 52, "Input", + Cell[11793, 424, 384, 13, 52, "Input", CellTags->"Convolute", CellID->440037844], - Cell[12181, 439, 341, 12, 60, "Output", + Cell[12180, 439, 341, 12, 60, "Output", CellTags->"Convolute"], - Cell[12559, 456, 344, 11, 29, "Input", + Cell[12558, 456, 344, 11, 29, "Input", CellTags->"Convolute", CellID->151808165], - Cell[12906, 469, 322, 11, 37, "Output", + Cell[12905, 469, 322, 11, 37, "Output", CellTags->"Convolute"], - Cell[13265, 485, 372, 12, 29, "Input", + Cell[13264, 485, 372, 12, 29, "Input", CellTags->"Convolute", CellID->1563371513], - Cell[13640, 499, 330, 11, 37, "Output", + Cell[13639, 499, 330, 11, 37, "Output", CellTags->"Convolute"], - Cell[14007, 515, 395, 13, 52, "Input", + Cell[14006, 515, 395, 13, 52, "Input", CellTags->"Convolute", CellID->1082077962], - Cell[14405, 530, 351, 12, 56, "Output", + Cell[14404, 530, 351, 12, 56, "Output", CellTags->"Convolute"], - Cell[14793, 547, 422, 14, 52, "Input", + Cell[14792, 547, 422, 14, 52, "Input", CellTags->"Convolute", CellID->1247483115], - Cell[15218, 563, 361, 12, 56, "Output", + Cell[15217, 563, 361, 12, 56, "Output", CellTags->"Convolute"], - Cell[15616, 580, 397, 13, 53, "Input", + Cell[15615, 580, 397, 13, 53, "Input", CellTags->"Convolute", CellID->2055743895], - Cell[16016, 595, 361, 12, 56, "Output", + Cell[16015, 595, 361, 12, 56, "Output", CellTags->"Convolute"], - Cell[16414, 612, 346, 11, 29, "Input", + Cell[16413, 612, 346, 11, 29, "Input", CellTags->"Convolute", CellID->1292595425], - Cell[16763, 625, 292, 11, 39, "Output", + Cell[16762, 625, 292, 11, 39, "Output", CellTags->"Convolute"], - Cell[17092, 641, 345, 11, 29, "Input", + Cell[17091, 641, 345, 11, 29, "Input", CellTags->"Convolute", CellID->342391696], - Cell[17440, 654, 331, 11, 37, "Output", + Cell[17439, 654, 331, 11, 37, "Output", CellTags->"Convolute"], - Cell[17808, 670, 419, 14, 53, "Input", + Cell[17807, 670, 419, 14, 53, "Input", CellTags->"Convolute", CellID->1164478774], - Cell[18230, 686, 369, 13, 64, "Output", + Cell[18229, 686, 369, 13, 64, "Output", CellTags->"Convolute"], - Cell[18636, 704, 319, 10, 29, "Input", + Cell[18635, 704, 319, 10, 29, "Input", CellTags->"Convolute", CellID->260971955], - Cell[18958, 716, 268, 10, 39, "Output", + Cell[18957, 716, 268, 10, 39, "Output", CellTags->"Convolute"], - Cell[19263, 731, 350, 11, 29, "Input", + Cell[19262, 731, 350, 11, 29, "Input", CellTags->"Convolute", CellID->935305016], - Cell[19616, 744, 318, 12, 39, "Output", + Cell[19615, 744, 318, 12, 39, "Output", CellTags->"Convolute"], - Cell[19971, 761, 367, 12, 52, "Input", + Cell[19970, 761, 367, 12, 52, "Input", CellTags->"Convolute", CellID->63581574], - Cell[20341, 775, 293, 10, 59, "Output", + Cell[20340, 775, 293, 10, 59, "Output", CellTags->"Convolute"], - Cell[20671, 790, 370, 12, 53, "Input", + Cell[20670, 790, 370, 12, 53, "Input", CellTags->"Convolute", CellID->1271585721], - Cell[21044, 804, 293, 10, 59, "Output", + Cell[21043, 804, 293, 10, 59, "Output", CellTags->"Convolute"], - Cell[21374, 819, 395, 13, 52, "Input", + Cell[21373, 819, 395, 13, 52, "Input", CellTags->"Convolute", CellID->1377475961], - Cell[21772, 834, 319, 11, 59, "Output", + Cell[21771, 834, 319, 11, 59, "Output", CellTags->"Convolute"], - Cell[22128, 850, 370, 12, 53, "Input", + Cell[22127, 850, 370, 12, 53, "Input", CellTags->"Convolute", CellID->2045548358], - Cell[22501, 864, 319, 11, 59, "Output", + Cell[22500, 864, 319, 11, 59, "Output", CellTags->"Convolute"], - Cell[22857, 880, 346, 11, 29, "Input", + Cell[22856, 880, 346, 11, 29, "Input", CellTags->"Convolute", CellID->1793379008], - Cell[23206, 893, 292, 11, 39, "Output", + Cell[23205, 893, 292, 11, 39, "Output", CellTags->"Convolute"], - Cell[23535, 909, 320, 10, 29, "Input", + Cell[23534, 909, 320, 10, 29, "Input", CellTags->"Convolute", CellID->1760428538], - Cell[23858, 921, 292, 11, 39, "Output", + Cell[23857, 921, 292, 11, 39, "Output", CellTags->"Convolute"], - Cell[24187, 937, 445, 15, 53, "Input", + Cell[24186, 937, 445, 15, 53, "Input", CellTags->"Convolute", CellID->379553048], - Cell[24635, 954, 429, 15, 61, "Output", + Cell[24634, 954, 429, 15, 61, "Output", CellTags->"Convolute"], - Cell[25101, 974, 455, 15, 53, "Input", + Cell[25100, 974, 455, 15, 53, "Input", CellTags->"Convolute", CellID->1743318528], - Cell[25559, 991, 378, 13, 59, "Output", + Cell[25558, 991, 378, 13, 59, "Output", CellTags->"Convolute"]}, "PrimaryExamplesSection"->{ - Cell[7394, 237, 388, 15, 31, "PrimaryExamplesSection", + Cell[7395, 237, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1344503995]} + CellID->468630048]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Convolute", 28815, 1092}, - {"PrimaryExamplesSection", 32976, 1223} + {"Convolute", 28814, 1092}, + {"PrimaryExamplesSection", 32975, 1223} } *) (*NotebookFileOutline @@ -1242,210 +1242,210 @@ Cell[CellGroupData[{ Cell[4022, 114, 1861, 60, 126, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5908, 178, 738, 24, 31, "NotesSection", +Cell[5908, 178, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->700798810], -Cell[6649, 204, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1389529439], +Cell[6650, 204, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[6705, 208, 137, 4, 70, "Input", +Cell[6706, 208, 137, 4, 70, "Input", CellTags->"Convolute", CellID->846637972], -Cell[6845, 214, 488, 16, 37, "Output", +Cell[6846, 214, 488, 16, 37, "Output", CellTags->"Convolute"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7394, 237, 388, 15, 31, "PrimaryExamplesSection", +Cell[7395, 237, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1344503995], + CellID->468630048], Cell[CellGroupData[{ -Cell[7807, 256, 195, 6, 26, "ExampleSection", - CellID->427565618], +Cell[7807, 256, 194, 6, 26, "ExampleSection", + CellID->47856790], Cell[CellGroupData[{ -Cell[8027, 266, 287, 9, 29, "Input", +Cell[8026, 266, 287, 9, 29, "Input", CellTags->"Convolute", CellID->1183792130], -Cell[8317, 277, 239, 8, 37, "Output", +Cell[8316, 277, 239, 8, 37, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[8593, 290, 286, 9, 29, "Input", +Cell[8592, 290, 286, 9, 29, "Input", CellTags->"Convolute", CellID->566730399], -Cell[8882, 301, 289, 10, 39, "Output", +Cell[8881, 301, 289, 10, 39, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[9208, 316, 287, 9, 29, "Input", +Cell[9207, 316, 287, 9, 29, "Input", CellTags->"Convolute", CellID->1354290721], -Cell[9498, 327, 263, 9, 37, "Output", +Cell[9497, 327, 263, 9, 37, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[9798, 341, 335, 11, 52, "Input", +Cell[9797, 341, 335, 11, 52, "Input", CellTags->"Convolute", CellID->694658515], -Cell[10136, 354, 266, 9, 55, "Output", +Cell[10135, 354, 266, 9, 55, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[10439, 368, 383, 12, 52, "Input", +Cell[10438, 368, 383, 12, 52, "Input", CellTags->"Convolute", CellID->1694510014], -Cell[10825, 382, 266, 9, 55, "Output", +Cell[10824, 382, 266, 9, 55, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[11128, 396, 335, 11, 52, "Input", +Cell[11127, 396, 335, 11, 52, "Input", CellTags->"Convolute", CellID->640655392], -Cell[11466, 409, 291, 10, 55, "Output", +Cell[11465, 409, 291, 10, 55, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[11794, 424, 384, 13, 52, "Input", +Cell[11793, 424, 384, 13, 52, "Input", CellTags->"Convolute", CellID->440037844], -Cell[12181, 439, 341, 12, 60, "Output", +Cell[12180, 439, 341, 12, 60, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[12559, 456, 344, 11, 29, "Input", +Cell[12558, 456, 344, 11, 29, "Input", CellTags->"Convolute", CellID->151808165], -Cell[12906, 469, 322, 11, 37, "Output", +Cell[12905, 469, 322, 11, 37, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[13265, 485, 372, 12, 29, "Input", +Cell[13264, 485, 372, 12, 29, "Input", CellTags->"Convolute", CellID->1563371513], -Cell[13640, 499, 330, 11, 37, "Output", +Cell[13639, 499, 330, 11, 37, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[14007, 515, 395, 13, 52, "Input", +Cell[14006, 515, 395, 13, 52, "Input", CellTags->"Convolute", CellID->1082077962], -Cell[14405, 530, 351, 12, 56, "Output", +Cell[14404, 530, 351, 12, 56, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[14793, 547, 422, 14, 52, "Input", +Cell[14792, 547, 422, 14, 52, "Input", CellTags->"Convolute", CellID->1247483115], -Cell[15218, 563, 361, 12, 56, "Output", +Cell[15217, 563, 361, 12, 56, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[15616, 580, 397, 13, 53, "Input", +Cell[15615, 580, 397, 13, 53, "Input", CellTags->"Convolute", CellID->2055743895], -Cell[16016, 595, 361, 12, 56, "Output", +Cell[16015, 595, 361, 12, 56, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[16414, 612, 346, 11, 29, "Input", +Cell[16413, 612, 346, 11, 29, "Input", CellTags->"Convolute", CellID->1292595425], -Cell[16763, 625, 292, 11, 39, "Output", +Cell[16762, 625, 292, 11, 39, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[17092, 641, 345, 11, 29, "Input", +Cell[17091, 641, 345, 11, 29, "Input", CellTags->"Convolute", CellID->342391696], -Cell[17440, 654, 331, 11, 37, "Output", +Cell[17439, 654, 331, 11, 37, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[17808, 670, 419, 14, 53, "Input", +Cell[17807, 670, 419, 14, 53, "Input", CellTags->"Convolute", CellID->1164478774], -Cell[18230, 686, 369, 13, 64, "Output", +Cell[18229, 686, 369, 13, 64, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[18636, 704, 319, 10, 29, "Input", +Cell[18635, 704, 319, 10, 29, "Input", CellTags->"Convolute", CellID->260971955], -Cell[18958, 716, 268, 10, 39, "Output", +Cell[18957, 716, 268, 10, 39, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[19263, 731, 350, 11, 29, "Input", +Cell[19262, 731, 350, 11, 29, "Input", CellTags->"Convolute", CellID->935305016], -Cell[19616, 744, 318, 12, 39, "Output", +Cell[19615, 744, 318, 12, 39, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[19971, 761, 367, 12, 52, "Input", +Cell[19970, 761, 367, 12, 52, "Input", CellTags->"Convolute", CellID->63581574], -Cell[20341, 775, 293, 10, 59, "Output", +Cell[20340, 775, 293, 10, 59, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[20671, 790, 370, 12, 53, "Input", +Cell[20670, 790, 370, 12, 53, "Input", CellTags->"Convolute", CellID->1271585721], -Cell[21044, 804, 293, 10, 59, "Output", +Cell[21043, 804, 293, 10, 59, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[21374, 819, 395, 13, 52, "Input", +Cell[21373, 819, 395, 13, 52, "Input", CellTags->"Convolute", CellID->1377475961], -Cell[21772, 834, 319, 11, 59, "Output", +Cell[21771, 834, 319, 11, 59, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[22128, 850, 370, 12, 53, "Input", +Cell[22127, 850, 370, 12, 53, "Input", CellTags->"Convolute", CellID->2045548358], -Cell[22501, 864, 319, 11, 59, "Output", +Cell[22500, 864, 319, 11, 59, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[22857, 880, 346, 11, 29, "Input", +Cell[22856, 880, 346, 11, 29, "Input", CellTags->"Convolute", CellID->1793379008], -Cell[23206, 893, 292, 11, 39, "Output", +Cell[23205, 893, 292, 11, 39, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[23535, 909, 320, 10, 29, "Input", +Cell[23534, 909, 320, 10, 29, "Input", CellTags->"Convolute", CellID->1760428538], -Cell[23858, 921, 292, 11, 39, "Output", +Cell[23857, 921, 292, 11, 39, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[24187, 937, 445, 15, 53, "Input", +Cell[24186, 937, 445, 15, 53, "Input", CellTags->"Convolute", CellID->379553048], -Cell[24635, 954, 429, 15, 61, "Output", +Cell[24634, 954, 429, 15, 61, "Output", CellTags->"Convolute"] }, Open ]], Cell[CellGroupData[{ -Cell[25101, 974, 455, 15, 53, "Input", +Cell[25100, 974, 455, 15, 53, "Input", CellTags->"Convolute", CellID->1743318528], -Cell[25559, 991, 378, 13, 59, "Output", +Cell[25558, 991, 378, 13, 59, "Output", CellTags->"Convolute"] }, Open ]] }, Open ]], -Cell[25964, 1008, 31, 0, 29, "SectionFooterSpacer"] +Cell[25963, 1008, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[26032, 1013, 270, 12, 31, "SeeAlsoSection", +Cell[26031, 1013, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[26305, 1027, 388, 13, 56, "SeeAlso"] +Cell[26304, 1027, 388, 13, 56, "SeeAlso"] }, Open ]], -Cell[26708, 1043, 23, 0, 41, "FooterCell"] +Cell[26707, 1043, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ConvoluteTable.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ConvoluteTable.nb index 9aa4df2e9..fa5d73a03 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ConvoluteTable.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ConvoluteTable.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13092, 448] -NotebookOptionsPosition[ 8756, 315] -NotebookOutlinePosition[ 11603, 394] -CellTagsIndexPosition[ 11485, 388] +NotebookDataLength[ 13042, 447] +NotebookOptionsPosition[ 8759, 315] +NotebookOutlinePosition[ 11550, 393] +CellTagsIndexPosition[ 11432, 387] WindowTitle->ConvoluteTable WindowFrame->Normal*) @@ -81,7 +81,7 @@ ConvoluteTable.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$46887], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$46992], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ConvoluteTable", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->457681475], + CellID->1381453304], Cell["", "SectionHeaderSpacer"], @@ -204,7 +204,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->451857424], + CellID->1355050353], Cell[CellGroupData[{ @@ -214,7 +214,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->142666285], + CellID->1785004884], Cell[CellGroupData[{ @@ -249,7 +249,7 @@ Cell[BoxData[ FormBox[ RowBox[{"False", "[", RowBox[{"x", ",", "x"}], "]"}], TraditionalForm]], "Output", - ImageSize->{76, 14}, + ImageSize->{76, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"ConvoluteTable", @@ -328,7 +328,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 41.543434}", + "built" -> "{2020, 6, 20, 19, 3, 13.880085}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -348,8 +348,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -359,36 +358,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "ConvoluteTable"->{ - Cell[5337, 162, 143, 4, 70, "Input", + Cell[5338, 162, 143, 4, 70, "Input", CellTags->"ConvoluteTable", CellID->1127190721], - Cell[5483, 168, 493, 16, 37, "Output", + Cell[5484, 168, 493, 16, 37, "Output", CellTags->"ConvoluteTable"], - Cell[6669, 220, 173, 5, 27, "Input", + Cell[6672, 220, 173, 5, 27, "Input", CellTags->"ConvoluteTable", CellID->1383961976], - Cell[6845, 227, 244, 8, 37, "Output", + Cell[6848, 227, 244, 8, 37, "Output", CellTags->"ConvoluteTable"], - Cell[7126, 240, 162, 5, 27, "Input", + Cell[7129, 240, 162, 5, 27, "Input", CellTags->"ConvoluteTable", CellID->783988219], - Cell[7291, 247, 251, 8, 35, "Output", + Cell[7294, 247, 251, 8, 37, "Output", CellTags->"ConvoluteTable"], - Cell[7579, 260, 173, 5, 27, "Input", + Cell[7582, 260, 173, 5, 27, "Input", CellTags->"ConvoluteTable", CellID->1430786364], - Cell[7755, 267, 218, 7, 35, "Output", + Cell[7758, 267, 218, 7, 35, "Output", CellTags->"ConvoluteTable"]}, "PrimaryExamplesSection"->{ - Cell[6037, 191, 387, 15, 31, "PrimaryExamplesSection", + Cell[6038, 191, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->451857424]} + CellID->1355050353]} } *) (*CellTagsIndex CellTagsIndex->{ - {"ConvoluteTable", 10648, 360}, - {"PrimaryExamplesSection", 11342, 381} + {"ConvoluteTable", 10594, 359}, + {"PrimaryExamplesSection", 11288, 380} } *) (*NotebookFileOutline @@ -400,56 +399,56 @@ Cell[CellGroupData[{ Cell[4043, 114, 472, 14, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4540, 132, 738, 24, 31, "NotesSection", +Cell[4540, 132, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->457681475], -Cell[5281, 158, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1381453304], +Cell[5282, 158, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5337, 162, 143, 4, 70, "Input", +Cell[5338, 162, 143, 4, 70, "Input", CellTags->"ConvoluteTable", CellID->1127190721], -Cell[5483, 168, 493, 16, 37, "Output", +Cell[5484, 168, 493, 16, 37, "Output", CellTags->"ConvoluteTable"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6037, 191, 387, 15, 31, "PrimaryExamplesSection", +Cell[6038, 191, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->451857424], + CellID->1355050353], Cell[CellGroupData[{ -Cell[6449, 210, 195, 6, 26, "ExampleSection", - CellID->142666285], +Cell[6451, 210, 196, 6, 26, "ExampleSection", + CellID->1785004884], Cell[CellGroupData[{ -Cell[6669, 220, 173, 5, 27, "Input", +Cell[6672, 220, 173, 5, 27, "Input", CellTags->"ConvoluteTable", CellID->1383961976], -Cell[6845, 227, 244, 8, 37, "Output", +Cell[6848, 227, 244, 8, 37, "Output", CellTags->"ConvoluteTable"] }, Open ]], Cell[CellGroupData[{ -Cell[7126, 240, 162, 5, 27, "Input", +Cell[7129, 240, 162, 5, 27, "Input", CellTags->"ConvoluteTable", CellID->783988219], -Cell[7291, 247, 251, 8, 35, "Output", +Cell[7294, 247, 251, 8, 37, "Output", CellTags->"ConvoluteTable"] }, Open ]], Cell[CellGroupData[{ -Cell[7579, 260, 173, 5, 27, "Input", +Cell[7582, 260, 173, 5, 27, "Input", CellTags->"ConvoluteTable", CellID->1430786364], -Cell[7755, 267, 218, 7, 35, "Output", +Cell[7758, 267, 218, 7, 35, "Output", CellTags->"ConvoluteTable"] }, Open ]] }, Open ]], -Cell[8000, 278, 31, 0, 29, "SectionFooterSpacer"] +Cell[8003, 278, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8068, 283, 270, 12, 31, "SeeAlsoSection", +Cell[8071, 283, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8341, 297, 373, 13, 56, "SeeAlso"] +Cell[8344, 297, 373, 13, 56, "SeeAlso"] }, Open ]], -Cell[8729, 313, 23, 0, 41, "FooterCell"] +Cell[8732, 313, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CounterT.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CounterT.nb index b71a3dbe9..28b55dbdb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CounterT.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CounterT.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13849, 459] +NotebookDataLength[ 13846, 459] NotebookOptionsPosition[ 10917, 372] -NotebookOutlinePosition[ 13159, 434] -CellTagsIndexPosition[ 13047, 428] +NotebookOutlinePosition[ 13156, 434] +CellTagsIndexPosition[ 13044, 428] WindowTitle->CounterT WindowFrame->Normal*) @@ -83,7 +83,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$47766], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$47871], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CounterT", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->236252029], + CellID->884128254], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2042467455], + CellID->1235637076], Cell[CellGroupData[{ @@ -373,7 +373,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"CounterT", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -385,7 +385,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 43.977584}", + "built" -> "{2020, 6, 20, 19, 3, 15.987645}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -416,7 +416,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4520, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->236252029]}, + CellID->884128254]}, "CounterT"->{ Cell[5153, 159, 302, 7, 27, "Input", CellTags->"CounterT", @@ -427,8 +427,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12731, 415}, - {"CounterT", 12866, 419} + {"PrimaryExamplesSection", 12728, 415}, + {"CounterT", 12863, 419} } *) (*NotebookFileOutline @@ -441,10 +441,10 @@ Cell[4094, 114, 401, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4520, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->236252029], + CellID->884128254], Cell[CellGroupData[{ Cell[4932, 149, 196, 6, 26, "ExampleSection", - CellID->2042467455], + CellID->1235637076], Cell[CellGroupData[{ Cell[5153, 159, 302, 7, 27, "Input", CellTags->"CounterT", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CounterTerm.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CounterTerm.nb index 4d063948b..610d8aee5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CounterTerm.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CounterTerm.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13309, 437] -NotebookOptionsPosition[ 9882, 335] -NotebookOutlinePosition[ 12276, 400] -CellTagsIndexPosition[ 12161, 394] +NotebookDataLength[ 13244, 436] +NotebookOptionsPosition[ 9879, 335] +NotebookOutlinePosition[ 12214, 399] +CellTagsIndexPosition[ 12099, 393] WindowTitle->CounterTerm WindowFrame->Normal*) @@ -84,7 +84,7 @@ CounterTerm.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$47327], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$47432], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CounterTerm", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1552110904], + CellID->10242481], Cell["", "SectionHeaderSpacer"], @@ -205,7 +205,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1280424743], + CellID->27353264], Cell[CellGroupData[{ @@ -215,7 +215,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->271611959], + CellID->1529012493], Cell[CellGroupData[{ @@ -335,8 +335,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CounterTerm", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -348,7 +348,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 42.808951}", + "built" -> "{2020, 6, 20, 19, 3, 14.972274}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -369,8 +369,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -380,21 +379,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6252, 192, 388, 15, 31, "PrimaryExamplesSection", + Cell[6250, 192, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1280424743]}, + CellID->27353264]}, "CounterTerm"->{ - Cell[6885, 221, 135, 4, 27, "Input", + Cell[6882, 221, 135, 4, 27, "Input", CellTags->"CounterTerm", CellID->1995023941], - Cell[7023, 227, 1719, 55, 115, "Output", + Cell[7020, 227, 1719, 55, 169, "Output", CellTags->"CounterTerm"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11835, 381}, - {"CounterTerm", 11974, 385} + {"PrimaryExamplesSection", 11775, 380}, + {"CounterTerm", 11912, 384} } *) (*NotebookFileOutline @@ -406,39 +405,39 @@ Cell[CellGroupData[{ Cell[4231, 117, 495, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4751, 134, 739, 24, 31, "NotesSection", +Cell[4751, 134, 737, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1552110904], -Cell[5493, 160, 31, 0, 70, "SectionHeaderSpacer"], + CellID->10242481], +Cell[5491, 160, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5549, 164, 95, 2, 70, "Input"], -Cell[5647, 168, 544, 17, 37, "Output"] +Cell[5547, 164, 95, 2, 70, "Input"], +Cell[5645, 168, 544, 17, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6252, 192, 388, 15, 31, "PrimaryExamplesSection", +Cell[6250, 192, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1280424743], + CellID->27353264], Cell[CellGroupData[{ -Cell[6665, 211, 195, 6, 26, "ExampleSection", - CellID->271611959], +Cell[6661, 211, 196, 6, 26, "ExampleSection", + CellID->1529012493], Cell[CellGroupData[{ -Cell[6885, 221, 135, 4, 27, "Input", +Cell[6882, 221, 135, 4, 27, "Input", CellTags->"CounterTerm", CellID->1995023941], -Cell[7023, 227, 1719, 55, 115, "Output", +Cell[7020, 227, 1719, 55, 169, "Output", CellTags->"CounterTerm"] }, Open ]] }, Open ]], -Cell[8769, 286, 31, 0, 29, "SectionFooterSpacer"] +Cell[8766, 286, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8837, 291, 270, 12, 31, "SeeAlsoSection", +Cell[8834, 291, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9110, 305, 730, 25, 56, "SeeAlso"] +Cell[9107, 305, 730, 25, 56, "SeeAlso"] }, Open ]], -Cell[9855, 333, 23, 0, 41, "FooterCell"] +Cell[9852, 333, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CouplingConstant.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CouplingConstant.nb index 62e48f34e..58ce1152f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CouplingConstant.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CouplingConstant.nb @@ -80,7 +80,7 @@ CouplingConstant.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$48204], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$48309], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CouplingConstant", ".html"]], None}]}]}, @@ -213,7 +213,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 45.220402}", + "built" -> "{2020, 6, 20, 19, 3, 16.881683}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CovariantD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CovariantD.nb index 1212a9291..412f6ba5d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CovariantD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CovariantD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 46324, 1621] -NotebookOptionsPosition[ 36914, 1328] -NotebookOutlinePosition[ 42415, 1476] -CellTagsIndexPosition[ 42299, 1470] +NotebookDataLength[ 46328, 1621] +NotebookOptionsPosition[ 36916, 1328] +NotebookOutlinePosition[ 42417, 1476] +CellTagsIndexPosition[ 42301, 1470] WindowTitle->CovariantD WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$48725], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$48830], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CovariantD", ".html"]], None}]}]}, @@ -229,7 +229,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->29485513], + CellID->1013191662], Cell["", "SectionHeaderSpacer"], @@ -287,7 +287,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->691651515], + CellID->892444633], Cell[CellGroupData[{ @@ -297,7 +297,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->769036159], + CellID->699025235], Cell[CellGroupData[{ @@ -1341,7 +1341,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 46.547141}", + "built" -> "{2020, 6, 20, 19, 3, 17.965171}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1381,96 +1381,96 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "CovariantD"->{ - Cell[8076, 246, 140, 4, 70, "Input", + Cell[8078, 246, 140, 4, 70, "Input", CellTags->"CovariantD", CellID->1136125130], - Cell[8219, 252, 529, 15, 56, "Output", + Cell[8221, 252, 529, 15, 56, "Output", CellTags->"CovariantD"], - Cell[9441, 303, 135, 4, 27, "Input", + Cell[9443, 303, 135, 4, 27, "Input", CellTags->"CovariantD", CellID->691762283], - Cell[9579, 309, 251, 9, 39, "Output", + Cell[9581, 309, 251, 9, 39, "Output", CellTags->"CovariantD"], - Cell[9867, 323, 168, 5, 27, "Input", + Cell[9869, 323, 168, 5, 27, "Input", CellTags->"CovariantD", CellID->631235757], - Cell[10038, 330, 352, 14, 43, "Output", + Cell[10040, 330, 352, 14, 43, "Output", CellTags->"CovariantD"], - Cell[10427, 349, 199, 6, 27, "Input", + Cell[10429, 349, 199, 6, 27, "Input", CellTags->"CovariantD", CellID->1730385129], - Cell[10629, 357, 814, 32, 46, "Output", + Cell[10631, 357, 814, 32, 46, "Output", CellTags->"CovariantD"], - Cell[12226, 424, 139, 4, 27, "Input", + Cell[12228, 424, 139, 4, 27, "Input", CellTags->"CovariantD", CellID->1980257576], - Cell[12368, 430, 261, 9, 37, "Output", + Cell[12370, 430, 261, 9, 37, "Output", CellTags->"CovariantD"], - Cell[12666, 444, 171, 5, 27, "Input", + Cell[12668, 444, 171, 5, 27, "Input", CellTags->"CovariantD", CellID->840690314], - Cell[12840, 451, 362, 14, 41, "Output", + Cell[12842, 451, 362, 14, 41, "Output", CellTags->"CovariantD"], - Cell[13239, 470, 220, 6, 27, "Input", + Cell[13241, 470, 220, 6, 27, "Input", CellTags->"CovariantD", CellID->82457380], - Cell[13462, 478, 1013, 41, 44, "Output", + Cell[13464, 478, 1013, 41, 44, "Output", CellTags->"CovariantD"], - Cell[14512, 524, 201, 6, 27, "Input", + Cell[14514, 524, 201, 6, 27, "Input", CellTags->"CovariantD", CellID->570341066], - Cell[14716, 532, 834, 32, 44, "Output", + Cell[14718, 532, 834, 32, 44, "Output", CellTags->"CovariantD"], - Cell[15587, 569, 206, 6, 27, "Input", + Cell[15589, 569, 206, 6, 27, "Input", CellTags->"CovariantD", CellID->1557639505], - Cell[15796, 577, 2053, 79, 48, "Output", + Cell[15798, 577, 2053, 79, 48, "Output", CellTags->"CovariantD"], - Cell[18605, 691, 234, 7, 27, "Input", + Cell[18607, 691, 234, 7, 27, "Input", CellTags->"CovariantD", CellID->1826343413], - Cell[18842, 700, 642, 25, 43, "Output", + Cell[18844, 700, 642, 25, 43, "Output", CellTags->"CovariantD"], - Cell[19991, 750, 234, 7, 27, "Input", + Cell[19993, 750, 234, 7, 27, "Input", CellTags->"CovariantD", CellID->1721350899], - Cell[20228, 759, 2418, 85, 68, "Output", + Cell[20230, 759, 2418, 85, 68, "Output", CellTags->"CovariantD"], - Cell[22851, 857, 234, 7, 27, "Input", + Cell[22853, 857, 234, 7, 27, "Input", CellTags->"CovariantD", CellID->1002319987], - Cell[23088, 866, 6000, 192, 156, "Output", + Cell[23090, 866, 6000, 192, 156, "Output", CellTags->"CovariantD"], - Cell[29125, 1063, 199, 6, 27, "Input", + Cell[29127, 1063, 199, 6, 27, "Input", CellTags->"CovariantD", CellID->608320512], - Cell[29327, 1071, 426, 16, 43, "Output", + Cell[29329, 1071, 426, 16, 43, "Output", CellTags->"CovariantD"], - Cell[29790, 1092, 213, 7, 27, "Input", + Cell[29792, 1092, 213, 7, 27, "Input", CellTags->"CovariantD", CellID->512528140], - Cell[30006, 1101, 4929, 153, 127, "Output", + Cell[30008, 1101, 4929, 153, 127, "Output", CellTags->"CovariantD"], - Cell[34972, 1259, 241, 8, 27, "Input", + Cell[34974, 1259, 241, 8, 27, "Input", CellTags->"CovariantD", CellID->790160491], - Cell[35216, 1269, 639, 17, 86, "Output", + Cell[35218, 1269, 639, 17, 86, "Output", CellTags->"CovariantD"], - Cell[35892, 1291, 258, 8, 27, "Input", + Cell[35894, 1291, 258, 8, 27, "Input", CellTags->"CovariantD", CellID->160329117], - Cell[36153, 1301, 683, 19, 86, "Output", + Cell[36155, 1301, 683, 19, 86, "Output", CellTags->"CovariantD"]}, "PrimaryExamplesSection"->{ - Cell[8809, 274, 387, 15, 31, "PrimaryExamplesSection", + Cell[8811, 274, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->691651515]} + CellID->892444633]} } *) (*CellTagsIndex CellTagsIndex->{ - {"CovariantD", 39550, 1382}, - {"PrimaryExamplesSection", 42156, 1463} + {"CovariantD", 39552, 1382}, + {"PrimaryExamplesSection", 42158, 1463} } *) (*NotebookFileOutline @@ -1481,148 +1481,148 @@ Cell[2865, 76, 287, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ Cell[3177, 91, 3844, 112, 497, "Usage"], Cell[CellGroupData[{ -Cell[7046, 207, 737, 24, 31, "NotesSection", +Cell[7046, 207, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->29485513], -Cell[7786, 233, 31, 0, 70, "SectionHeaderSpacer"], -Cell[7820, 235, 231, 7, 70, "Notes"], + CellID->1013191662], +Cell[7788, 233, 31, 0, 70, "SectionHeaderSpacer"], +Cell[7822, 235, 231, 7, 70, "Notes"], Cell[CellGroupData[{ -Cell[8076, 246, 140, 4, 70, "Input", +Cell[8078, 246, 140, 4, 70, "Input", CellTags->"CovariantD", CellID->1136125130], -Cell[8219, 252, 529, 15, 56, "Output", +Cell[8221, 252, 529, 15, 56, "Output", CellTags->"CovariantD"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[8809, 274, 387, 15, 31, "PrimaryExamplesSection", +Cell[8811, 274, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->691651515], + CellID->892444633], Cell[CellGroupData[{ -Cell[9221, 293, 195, 6, 26, "ExampleSection", - CellID->769036159], +Cell[9223, 293, 195, 6, 26, "ExampleSection", + CellID->699025235], Cell[CellGroupData[{ -Cell[9441, 303, 135, 4, 27, "Input", +Cell[9443, 303, 135, 4, 27, "Input", CellTags->"CovariantD", CellID->691762283], -Cell[9579, 309, 251, 9, 39, "Output", +Cell[9581, 309, 251, 9, 39, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[9867, 323, 168, 5, 27, "Input", +Cell[9869, 323, 168, 5, 27, "Input", CellTags->"CovariantD", CellID->631235757], -Cell[10038, 330, 352, 14, 43, "Output", +Cell[10040, 330, 352, 14, 43, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[10427, 349, 199, 6, 27, "Input", +Cell[10429, 349, 199, 6, 27, "Input", CellTags->"CovariantD", CellID->1730385129], -Cell[10629, 357, 814, 32, 46, "Output", +Cell[10631, 357, 814, 32, 46, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[11480, 394, 105, 2, 9, "ExampleDelimiter"], -Cell[11588, 398, 613, 22, 49, "Notes"], +Cell[11482, 394, 105, 2, 9, "ExampleDelimiter"], +Cell[11590, 398, 613, 22, 49, "Notes"], Cell[CellGroupData[{ -Cell[12226, 424, 139, 4, 27, "Input", +Cell[12228, 424, 139, 4, 27, "Input", CellTags->"CovariantD", CellID->1980257576], -Cell[12368, 430, 261, 9, 37, "Output", +Cell[12370, 430, 261, 9, 37, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[12666, 444, 171, 5, 27, "Input", +Cell[12668, 444, 171, 5, 27, "Input", CellTags->"CovariantD", CellID->840690314], -Cell[12840, 451, 362, 14, 41, "Output", +Cell[12842, 451, 362, 14, 41, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[13239, 470, 220, 6, 27, "Input", +Cell[13241, 470, 220, 6, 27, "Input", CellTags->"CovariantD", CellID->82457380], -Cell[13462, 478, 1013, 41, 44, "Output", +Cell[13464, 478, 1013, 41, 44, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[14512, 524, 201, 6, 27, "Input", +Cell[14514, 524, 201, 6, 27, "Input", CellTags->"CovariantD", CellID->570341066], -Cell[14716, 532, 834, 32, 44, "Output", +Cell[14718, 532, 834, 32, 44, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[15587, 569, 206, 6, 27, "Input", +Cell[15589, 569, 206, 6, 27, "Input", CellTags->"CovariantD", CellID->1557639505], -Cell[15796, 577, 2053, 79, 48, "Output", +Cell[15798, 577, 2053, 79, 48, "Output", CellTags->"CovariantD"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[17898, 662, 105, 2, 9, "ExampleDelimiter"], -Cell[18006, 666, 574, 21, 42, "Notes"], +Cell[17900, 662, 105, 2, 9, "ExampleDelimiter"], +Cell[18008, 666, 574, 21, 42, "Notes"], Cell[CellGroupData[{ -Cell[18605, 691, 234, 7, 27, "Input", +Cell[18607, 691, 234, 7, 27, "Input", CellTags->"CovariantD", CellID->1826343413], -Cell[18842, 700, 642, 25, 43, "Output", +Cell[18844, 700, 642, 25, 43, "Output", CellTags->"CovariantD"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[19533, 731, 105, 2, 9, "ExampleDelimiter"], -Cell[19641, 735, 325, 11, 33, "Notes"], +Cell[19535, 731, 105, 2, 9, "ExampleDelimiter"], +Cell[19643, 735, 325, 11, 33, "Notes"], Cell[CellGroupData[{ -Cell[19991, 750, 234, 7, 27, "Input", +Cell[19993, 750, 234, 7, 27, "Input", CellTags->"CovariantD", CellID->1721350899], -Cell[20228, 759, 2418, 85, 68, "Output", +Cell[20230, 759, 2418, 85, 68, "Output", CellTags->"CovariantD"] }, Open ]], -Cell[22661, 847, 165, 6, 33, "Notes"], +Cell[22663, 847, 165, 6, 33, "Notes"], Cell[CellGroupData[{ -Cell[22851, 857, 234, 7, 27, "Input", +Cell[22853, 857, 234, 7, 27, "Input", CellTags->"CovariantD", CellID->1002319987], -Cell[23088, 866, 6000, 192, 156, "Output", +Cell[23090, 866, 6000, 192, 156, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[29125, 1063, 199, 6, 27, "Input", +Cell[29127, 1063, 199, 6, 27, "Input", CellTags->"CovariantD", CellID->608320512], -Cell[29327, 1071, 426, 16, 43, "Output", +Cell[29329, 1071, 426, 16, 43, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[29790, 1092, 213, 7, 27, "Input", +Cell[29792, 1092, 213, 7, 27, "Input", CellTags->"CovariantD", CellID->512528140], -Cell[30006, 1101, 4929, 153, 127, "Output", +Cell[30008, 1101, 4929, 153, 127, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[34972, 1259, 241, 8, 27, "Input", +Cell[34974, 1259, 241, 8, 27, "Input", CellTags->"CovariantD", CellID->790160491], -Cell[35216, 1269, 639, 17, 86, "Output", +Cell[35218, 1269, 639, 17, 86, "Output", CellTags->"CovariantD"] }, Open ]], Cell[CellGroupData[{ -Cell[35892, 1291, 258, 8, 27, "Input", +Cell[35894, 1291, 258, 8, 27, "Input", CellTags->"CovariantD", CellID->160329117], -Cell[36153, 1301, 683, 19, 86, "Output", +Cell[36155, 1301, 683, 19, 86, "Output", CellTags->"CovariantD"] }, Open ]] }, Open ]] }, Open ]] }, Open ]], -Cell[36887, 1326, 23, 0, 41, "FooterCell"] +Cell[36889, 1326, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CovariantFieldDerivative.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CovariantFieldDerivative.nb index 380df6f74..dbe5a3d90 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/CovariantFieldDerivative.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/CovariantFieldDerivative.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11380, 357] -NotebookOptionsPosition[ 8022, 265] -NotebookOutlinePosition[ 10662, 332] -CellTagsIndexPosition[ 10534, 326] +NotebookDataLength[ 11332, 356] +NotebookOptionsPosition[ 8024, 265] +NotebookOutlinePosition[ 10612, 331] +CellTagsIndexPosition[ 10484, 325] WindowTitle->CovariantFieldDerivative WindowFrame->Normal*) @@ -84,7 +84,7 @@ CovariantFieldDerivative.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$49175], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$49280], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/CovariantFieldDerivative", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->83003778], + CellID->1413615934], Cell[CellGroupData[{ @@ -172,7 +172,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->170346871], + CellID->797290222], Cell[CellGroupData[{ @@ -266,7 +266,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"CovariantFieldDerivative", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -278,7 +278,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 53, 47.807509}", + "built" -> "{2020, 6, 20, 19, 3, 19.102188}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -301,8 +301,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -312,21 +311,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5368, 149, 386, 15, 31, "PrimaryExamplesSection", + Cell[5368, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->83003778]}, + CellID->1413615934]}, "CovariantFieldDerivative"->{ - Cell[5999, 178, 348, 10, 27, "Input", + Cell[6001, 178, 348, 10, 27, "Input", CellTags->"CovariantFieldDerivative", CellID->2083449432], - Cell[6350, 190, 712, 28, 40, "Output", + Cell[6352, 190, 712, 28, 40, "Output", CellTags->"CovariantFieldDerivative"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10172, 313}, - {"CovariantFieldDerivative", 10322, 317} + {"PrimaryExamplesSection", 10120, 312}, + {"CovariantFieldDerivative", 10272, 316} } *) (*NotebookFileOutline @@ -337,28 +336,28 @@ Cell[3899, 102, 301, 11, 45, "ObjectNameGrid"], Cell[4203, 115, 1140, 30, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5368, 149, 386, 15, 31, "PrimaryExamplesSection", +Cell[5368, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->83003778], + CellID->1413615934], Cell[CellGroupData[{ -Cell[5779, 168, 195, 6, 26, "ExampleSection", - CellID->170346871], +Cell[5781, 168, 195, 6, 26, "ExampleSection", + CellID->797290222], Cell[CellGroupData[{ -Cell[5999, 178, 348, 10, 27, "Input", +Cell[6001, 178, 348, 10, 27, "Input", CellTags->"CovariantFieldDerivative", CellID->2083449432], -Cell[6350, 190, 712, 28, 40, "Output", +Cell[6352, 190, 712, 28, 40, "Output", CellTags->"CovariantFieldDerivative"] }, Open ]] }, Open ]], -Cell[7089, 222, 31, 0, 29, "SectionFooterSpacer"] +Cell[7091, 222, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7157, 227, 270, 12, 31, "SeeAlsoSection", +Cell[7159, 227, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7430, 241, 550, 19, 56, "SeeAlso"] +Cell[7432, 241, 550, 19, 56, "SeeAlso"] }, Open ]], -Cell[7995, 263, 23, 0, 41, "FooterCell"] +Cell[7997, 263, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/D0.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/D0.nb index 00cf1e73f..b4f1579ce 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/D0.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/D0.nb @@ -11,9 +11,9 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] NotebookDataLength[ 13328, 440] -NotebookOptionsPosition[ 9542, 325] -NotebookOutlinePosition[ 12319, 401] -CellTagsIndexPosition[ 12213, 395] +NotebookOptionsPosition[ 9541, 325] +NotebookOutlinePosition[ 12320, 401] +CellTagsIndexPosition[ 12214, 395] WindowTitle->D0 WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$55849], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$55954], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/D0", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1842826744], + CellID->194820064], Cell[CellGroupData[{ @@ -167,7 +167,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1203869837], + CellID->1369978541], Cell[CellGroupData[{ @@ -326,7 +326,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"D0", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -338,7 +338,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 5.753406}", + "built" -> "{2020, 6, 20, 19, 3, 35.142027}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -371,31 +371,31 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5178, 144, 388, 15, 31, "PrimaryExamplesSection", + Cell[5178, 144, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1842826744]}, + CellID->194820064]}, "D0"->{ - Cell[5812, 173, 334, 10, 27, "Input", + Cell[5811, 173, 334, 10, 27, "Input", CellTags->"D0", CellID->1703594627], - Cell[6149, 185, 553, 18, 42, "Output", + Cell[6148, 185, 553, 18, 42, "Output", CellTags->"D0"], - Cell[6739, 208, 502, 15, 45, "Input", + Cell[6738, 208, 502, 15, 45, "Input", CellTags->"D0", CellID->493215523], - Cell[7244, 225, 553, 18, 42, "Output", + Cell[7243, 225, 553, 18, 42, "Output", CellTags->"D0"], - Cell[7834, 248, 123, 4, 27, "Input", + Cell[7833, 248, 123, 4, 27, "Input", CellTags->"D0", CellID->1818800785], - Cell[7960, 254, 553, 18, 42, "Output", + Cell[7959, 254, 553, 18, 42, "Output", CellTags->"D0"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11629, 372}, - {"D0", 11759, 376} + {"PrimaryExamplesSection", 11631, 372}, + {"D0", 11760, 376} } *) (*NotebookFileOutline @@ -406,42 +406,42 @@ Cell[3796, 100, 279, 11, 45, "ObjectNameGrid"], Cell[4078, 113, 1075, 27, 137, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5178, 144, 388, 15, 31, "PrimaryExamplesSection", +Cell[5178, 144, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1842826744], + CellID->194820064], Cell[CellGroupData[{ -Cell[5591, 163, 196, 6, 26, "ExampleSection", - CellID->1203869837], +Cell[5590, 163, 196, 6, 26, "ExampleSection", + CellID->1369978541], Cell[CellGroupData[{ -Cell[5812, 173, 334, 10, 27, "Input", +Cell[5811, 173, 334, 10, 27, "Input", CellTags->"D0", CellID->1703594627], -Cell[6149, 185, 553, 18, 42, "Output", +Cell[6148, 185, 553, 18, 42, "Output", CellTags->"D0"] }, Open ]], Cell[CellGroupData[{ -Cell[6739, 208, 502, 15, 45, "Input", +Cell[6738, 208, 502, 15, 45, "Input", CellTags->"D0", CellID->493215523], -Cell[7244, 225, 553, 18, 42, "Output", +Cell[7243, 225, 553, 18, 42, "Output", CellTags->"D0"] }, Open ]], Cell[CellGroupData[{ -Cell[7834, 248, 123, 4, 27, "Input", +Cell[7833, 248, 123, 4, 27, "Input", CellTags->"D0", CellID->1818800785], -Cell[7960, 254, 553, 18, 42, "Output", +Cell[7959, 254, 553, 18, 42, "Output", CellTags->"D0"] }, Open ]] }, Open ]], -Cell[8540, 276, 31, 0, 29, "SectionFooterSpacer"] +Cell[8539, 276, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8608, 281, 270, 12, 31, "SeeAlsoSection", +Cell[8607, 281, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8881, 295, 619, 25, 56, "SeeAlso"] +Cell[8880, 295, 619, 25, 56, "SeeAlso"] }, Open ]], -Cell[9515, 323, 23, 0, 41, "FooterCell"] +Cell[9514, 323, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/D0Convention.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/D0Convention.nb index 3fb18d088..113a6ca5f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/D0Convention.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/D0Convention.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7401, 220] +NotebookDataLength[ 7402, 220] NotebookOptionsPosition[ 5204, 162] -NotebookOutlinePosition[ 7193, 212] -CellTagsIndexPosition[ 7150, 209] +NotebookOutlinePosition[ 7194, 212] +CellTagsIndexPosition[ 7151, 209] WindowTitle->D0Convention WindowFrame->Normal*) @@ -81,7 +81,7 @@ D0Convention.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$55397], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$55502], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/D0Convention", ".html"]], None}]}]}, @@ -175,7 +175,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 4.819720}", + "built" -> "{2020, 6, 20, 19, 3, 34.004821}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DB0.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DB0.nb index d0ad0bd44..107a6b803 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DB0.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DB0.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9233, 308] +NotebookDataLength[ 9178, 307] NotebookOptionsPosition[ 6299, 220] -NotebookOutlinePosition[ 8559, 283] -CellTagsIndexPosition[ 8454, 277] +NotebookOutlinePosition[ 8504, 282] +CellTagsIndexPosition[ 8399, 276] WindowTitle->DB0 WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$56770], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$56875], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DB0", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->345618728], + CellID->2039647848], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2095234350], + CellID->119283877], Cell[CellGroupData[{ @@ -220,8 +220,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DB0", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -233,7 +233,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 8.350308}", + "built" -> "{2020, 6, 20, 19, 3, 37.446789}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -252,8 +252,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -263,9 +262,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4385, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4385, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->345618728]}, + CellID->2039647848]}, "DB0"->{ Cell[5018, 159, 358, 13, 33, "Input", CellTags->"DB0", @@ -276,8 +275,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8154, 264}, - {"DB0", 8284, 268} + {"PrimaryExamplesSection", 8098, 263}, + {"DB0", 8229, 267} } *) (*NotebookFileOutline @@ -288,12 +287,12 @@ Cell[3546, 97, 280, 11, 45, "ObjectNameGrid"], Cell[3829, 110, 531, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4385, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4385, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->345618728], + CellID->2039647848], Cell[CellGroupData[{ -Cell[4797, 149, 196, 6, 26, "ExampleSection", - CellID->2095234350], +Cell[4798, 149, 195, 6, 26, "ExampleSection", + CellID->119283877], Cell[CellGroupData[{ Cell[5018, 159, 358, 13, 33, "Input", CellTags->"DB0", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DB1.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DB1.nb index 62527923f..6ab26121b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DB1.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DB1.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11128, 377] -NotebookOptionsPosition[ 8211, 289] -NotebookOutlinePosition[ 10451, 352] -CellTagsIndexPosition[ 10344, 346] +NotebookDataLength[ 11068, 376] +NotebookOptionsPosition[ 8210, 289] +NotebookOutlinePosition[ 10392, 351] +CellTagsIndexPosition[ 10286, 345] WindowTitle->DB1 WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$57209], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$57314], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DB1", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1836881807], + CellID->197238320], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2028493164], + CellID->2144040007], Cell[CellGroupData[{ @@ -290,7 +290,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DB1", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -302,7 +302,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 9.441606}", + "built" -> "{2020, 6, 20, 19, 3, 38.437008}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -321,8 +321,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -332,21 +331,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4348, 129, 388, 15, 31, "PrimaryExamplesSection", + Cell[4348, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1836881807]}, + CellID->197238320]}, "DB1"->{ - Cell[4982, 158, 358, 13, 33, "Input", + Cell[4981, 158, 358, 13, 33, "Input", CellTags->"DB1", CellID->1972383299], - Cell[5343, 173, 2289, 81, 120, "Output", + Cell[5342, 173, 2289, 81, 120, "Output", CellTags->"DB1"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10041, 333}, - {"DB1", 10172, 337} + {"PrimaryExamplesSection", 9984, 332}, + {"DB1", 10114, 336} } *) (*NotebookFileOutline @@ -357,28 +356,28 @@ Cell[3546, 97, 280, 11, 45, "ObjectNameGrid"], Cell[3829, 110, 494, 15, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4348, 129, 388, 15, 31, "PrimaryExamplesSection", +Cell[4348, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1836881807], + CellID->197238320], Cell[CellGroupData[{ -Cell[4761, 148, 196, 6, 26, "ExampleSection", - CellID->2028493164], +Cell[4760, 148, 196, 6, 26, "ExampleSection", + CellID->2144040007], Cell[CellGroupData[{ -Cell[4982, 158, 358, 13, 33, "Input", +Cell[4981, 158, 358, 13, 33, "Input", CellTags->"DB1", CellID->1972383299], -Cell[5343, 173, 2289, 81, 120, "Output", +Cell[5342, 173, 2289, 81, 120, "Output", CellTags->"DB1"] }, Open ]] }, Open ]], -Cell[7659, 258, 31, 0, 29, "SectionFooterSpacer"] +Cell[7658, 258, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7727, 263, 270, 12, 31, "SeeAlsoSection", +Cell[7726, 263, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8000, 277, 169, 7, 56, "SeeAlso"] +Cell[7999, 277, 169, 7, 56, "SeeAlso"] }, Open ]], -Cell[8184, 287, 23, 0, 41, "FooterCell"] +Cell[8183, 287, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DCHN.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DCHN.nb index cec5bcd90..8fab8c1ba 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DCHN.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DCHN.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 22639, 868] -NotebookOptionsPosition[ 18062, 720] -NotebookOutlinePosition[ 20131, 776] -CellTagsIndexPosition[ 20046, 771] +NotebookDataLength[ 22642, 868] +NotebookOptionsPosition[ 18063, 720] +NotebookOutlinePosition[ 20133, 776] +CellTagsIndexPosition[ 20048, 771] WindowTitle->DCHN WindowFrame->Normal*) @@ -90,7 +90,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$57658], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$57763], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DCHN", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->63311303], + CellID->977150261], Cell[CellGroupData[{ @@ -161,7 +161,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->756545959], + CellID->549809333], Cell["A standalone Dirac matrix with open Dirac indices", "Notes", CellID->562724937], @@ -733,7 +733,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 10.564881}", + "built" -> "{2020, 6, 20, 19, 3, 39.473865}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -763,14 +763,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4979, 138, 386, 15, 31, "PrimaryExamplesSection", + Cell[4979, 138, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->63311303]} + CellID->977150261]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 19904, 764} + {"PrimaryExamplesSection", 19905, 764} } *) (*NotebookFileOutline @@ -781,95 +781,95 @@ Cell[4178, 108, 281, 11, 45, "ObjectNameGrid"], Cell[4462, 121, 492, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4979, 138, 386, 15, 31, "PrimaryExamplesSection", +Cell[4979, 138, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->63311303], + CellID->977150261], Cell[CellGroupData[{ -Cell[5390, 157, 195, 6, 26, "ExampleSection", - CellID->756545959], -Cell[5588, 165, 86, 1, 32, "Notes", +Cell[5391, 157, 195, 6, 26, "ExampleSection", + CellID->549809333], +Cell[5589, 165, 86, 1, 32, "Notes", CellID->562724937], Cell[CellGroupData[{ -Cell[5699, 170, 168, 5, 27, "Input", +Cell[5700, 170, 168, 5, 27, "Input", CellID->883461262], -Cell[5870, 177, 578, 25, 43, "Output"] +Cell[5871, 177, 578, 25, 43, "Output"] }, Open ]], -Cell[6463, 205, 87, 1, 32, "Notes", +Cell[6464, 205, 87, 1, 32, "Notes", CellID->1618780636], Cell[CellGroupData[{ -Cell[6575, 210, 233, 8, 27, "Input", +Cell[6576, 210, 233, 8, 27, "Input", CellID->2010253364], -Cell[6811, 220, 781, 33, 43, "Output"] +Cell[6812, 220, 781, 33, 43, "Output"] }, Open ]], -Cell[7607, 256, 160, 6, 32, "Notes", +Cell[7608, 256, 160, 6, 32, "Notes", CellID->1250331575], Cell[CellGroupData[{ -Cell[7792, 266, 187, 6, 27, "Input", +Cell[7793, 266, 187, 6, 27, "Input", CellID->1134519360], -Cell[7982, 274, 466, 19, 38, "Output"] +Cell[7983, 274, 466, 19, 38, "Output"] }, Open ]], -Cell[8463, 296, 158, 6, 32, "Notes", +Cell[8464, 296, 158, 6, 32, "Notes", CellID->63600432], Cell[CellGroupData[{ -Cell[8646, 306, 186, 6, 27, "Input", +Cell[8647, 306, 186, 6, 27, "Input", CellID->443709048], -Cell[8835, 314, 466, 19, 38, "Output"] +Cell[8836, 314, 466, 19, 38, "Output"] }, Open ]], -Cell[9316, 336, 137, 5, 32, "Notes", +Cell[9317, 336, 137, 5, 32, "Notes", CellID->1458298795], Cell[CellGroupData[{ -Cell[9478, 345, 183, 6, 27, "Input", +Cell[9479, 345, 183, 6, 27, "Input", CellID->791949561], -Cell[9664, 353, 439, 18, 38, "Output"] +Cell[9665, 353, 439, 18, 38, "Output"] }, Open ]], -Cell[10118, 374, 137, 5, 32, "Notes", +Cell[10119, 374, 137, 5, 32, "Notes", CellID->2030312156], Cell[CellGroupData[{ -Cell[10280, 383, 183, 6, 27, "Input", +Cell[10281, 383, 183, 6, 27, "Input", CellID->227593440], -Cell[10466, 391, 439, 18, 38, "Output"] +Cell[10467, 391, 439, 18, 38, "Output"] }, Open ]], -Cell[10920, 412, 169, 6, 32, "Notes", +Cell[10921, 412, 169, 6, 32, "Notes", CellID->1268031370], Cell[CellGroupData[{ -Cell[11114, 422, 293, 9, 27, "Input", +Cell[11115, 422, 293, 9, 27, "Input", CellID->1380755633], -Cell[11410, 433, 879, 36, 43, "Output"] +Cell[11411, 433, 879, 36, 43, "Output"] }, Open ]], -Cell[12304, 472, 168, 6, 32, "Notes", +Cell[12305, 472, 168, 6, 32, "Notes", CellID->867998080], Cell[CellGroupData[{ -Cell[12497, 482, 293, 9, 27, "Input", +Cell[12498, 482, 293, 9, 27, "Input", CellID->1948837227], -Cell[12793, 493, 900, 37, 43, "Output", +Cell[12794, 493, 900, 37, 43, "Output", CellID->1888289142] }, Open ]], -Cell[13708, 533, 146, 5, 32, "Notes", +Cell[13709, 533, 146, 5, 32, "Notes", CellID->1238042528], Cell[CellGroupData[{ -Cell[13879, 542, 290, 9, 27, "Input", +Cell[13880, 542, 290, 9, 27, "Input", CellID->1936823151], -Cell[14172, 553, 872, 36, 41, "Output", +Cell[14173, 553, 872, 36, 41, "Output", CellID->658668713] }, Open ]], -Cell[15059, 592, 146, 5, 32, "Notes", +Cell[15060, 592, 146, 5, 32, "Notes", CellID->1861495104], Cell[CellGroupData[{ -Cell[15230, 601, 291, 9, 27, "Input", +Cell[15231, 601, 291, 9, 27, "Input", CellID->1335889439], -Cell[15524, 612, 874, 36, 41, "Output", +Cell[15525, 612, 874, 36, 41, "Output", CellID->2035121680] }, Open ]] }, Open ]], -Cell[16425, 652, 31, 0, 29, "SectionFooterSpacer"] +Cell[16426, 652, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[16493, 657, 270, 12, 31, "SeeAlsoSection", +Cell[16494, 657, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[16766, 671, 1254, 44, 71, "SeeAlso", +Cell[16767, 671, 1254, 44, 71, "SeeAlso", CellID->655647701] }, Open ]], -Cell[18035, 718, 23, 0, 41, "FooterCell"] +Cell[18036, 718, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DIDelta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DIDelta.nb index f81edf88f..3b0f97ef0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DIDelta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DIDelta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 27630, 1034] -NotebookOptionsPosition[ 23109, 886] -NotebookOutlinePosition[ 25258, 943] -CellTagsIndexPosition[ 25173, 938] +NotebookDataLength[ 27570, 1033] +NotebookOptionsPosition[ 23107, 886] +NotebookOutlinePosition[ 25200, 942] +CellTagsIndexPosition[ 25115, 937] WindowTitle->DIDelta WindowFrame->Normal*) @@ -90,7 +90,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$60321], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$60426], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DIDelta", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1977425858], + CellID->752625925], Cell[CellGroupData[{ @@ -162,7 +162,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1096158476], + CellID->100496206], Cell[CellGroupData[{ @@ -887,7 +887,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DIDelta", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -899,7 +899,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 17.396594}", + "built" -> "{2020, 6, 20, 19, 3, 45.881744}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -919,8 +919,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -930,14 +929,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5006, 139, 388, 15, 31, "PrimaryExamplesSection", + Cell[5006, 139, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1977425858]} + CellID->752625925]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 25029, 931} + {"PrimaryExamplesSection", 24972, 930} } *) (*NotebookFileOutline @@ -948,94 +947,94 @@ Cell[4193, 108, 284, 11, 45, "ObjectNameGrid"], Cell[4480, 121, 501, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5006, 139, 388, 15, 31, "PrimaryExamplesSection", +Cell[5006, 139, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1977425858], + CellID->752625925], Cell[CellGroupData[{ -Cell[5419, 158, 196, 6, 26, "ExampleSection", - CellID->1096158476], +Cell[5418, 158, 195, 6, 26, "ExampleSection", + CellID->100496206], Cell[CellGroupData[{ -Cell[5640, 168, 127, 4, 27, "Input", +Cell[5638, 168, 127, 4, 27, "Input", CellID->1903212195], -Cell[5770, 174, 307, 12, 39, "Output", +Cell[5768, 174, 307, 12, 39, "Output", CellID->1647206544] }, Open ]], Cell[CellGroupData[{ -Cell[6114, 191, 126, 4, 27, "Input", +Cell[6112, 191, 126, 4, 27, "Input", CellID->221486333], -Cell[6243, 197, 307, 12, 37, "Output", +Cell[6241, 197, 307, 12, 37, "Output", CellID->1722328628] }, Open ]], Cell[CellGroupData[{ -Cell[6587, 214, 111, 3, 27, "Input", +Cell[6585, 214, 111, 3, 27, "Input", CellID->1175096586], -Cell[6701, 219, 186, 6, 35, "Output", +Cell[6699, 219, 186, 6, 35, "Output", CellID->565415250] }, Open ]], Cell[CellGroupData[{ -Cell[6924, 230, 150, 5, 27, "Input", +Cell[6922, 230, 150, 5, 27, "Input", CellID->280996541], -Cell[7077, 237, 316, 12, 42, "Output", +Cell[7075, 237, 316, 12, 42, "Output", CellID->552874525] }, Open ]], Cell[CellGroupData[{ -Cell[7430, 254, 110, 3, 27, "Input", +Cell[7428, 254, 110, 3, 27, "Input", CellID->717719024], -Cell[7543, 259, 187, 6, 35, "Output", +Cell[7541, 259, 187, 6, 35, "Output", CellID->1577326774] }, Open ]], Cell[CellGroupData[{ -Cell[7767, 270, 202, 7, 27, "Input", +Cell[7765, 270, 202, 7, 27, "Input", CellID->66063638], -Cell[7972, 279, 461, 19, 40, "Output", +Cell[7970, 279, 461, 19, 40, "Output", CellID->916684113] }, Open ]], Cell[CellGroupData[{ -Cell[8470, 303, 110, 3, 27, "Input", +Cell[8468, 303, 110, 3, 27, "Input", CellID->804321979], -Cell[8583, 308, 383, 16, 38, "Output", +Cell[8581, 308, 383, 16, 38, "Output", CellID->1567272290] }, Open ]], Cell[CellGroupData[{ -Cell[9003, 329, 773, 24, 45, "Input", +Cell[9001, 329, 773, 24, 45, "Input", CellID->758241863], -Cell[9779, 355, 2790, 119, 38, "Output", +Cell[9777, 355, 2790, 119, 38, "Output", CellID->1481144973] }, Open ]], Cell[CellGroupData[{ -Cell[12606, 479, 887, 28, 62, "Input", +Cell[12604, 479, 887, 28, 62, "Input", CellID->1093996001], -Cell[13496, 509, 1715, 47, 171, "Output", +Cell[13494, 509, 1715, 47, 171, "Output", CellID->1943025584] }, Open ]], Cell[CellGroupData[{ -Cell[15248, 561, 112, 3, 27, "Input", +Cell[15246, 561, 112, 3, 27, "Input", CellID->1092912350], -Cell[15363, 566, 2177, 87, 41, "Output", +Cell[15361, 566, 2177, 87, 41, "Output", CellID->523514846] }, Open ]], Cell[CellGroupData[{ -Cell[17577, 658, 196, 6, 27, "Input", +Cell[17575, 658, 196, 6, 27, "Input", CellID->654220270], -Cell[17776, 666, 1952, 76, 41, "Output", +Cell[17774, 666, 1952, 76, 41, "Output", CellID->1345169628] }, Open ]], Cell[CellGroupData[{ -Cell[19765, 747, 196, 6, 27, "Input", +Cell[19763, 747, 196, 6, 27, "Input", CellID->427410435], -Cell[19964, 755, 1481, 59, 37, "Output", +Cell[19962, 755, 1481, 59, 37, "Output", CellID->1753713613] }, Open ]] }, Open ]], -Cell[21472, 818, 31, 0, 29, "SectionFooterSpacer"] +Cell[21470, 818, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[21540, 823, 270, 12, 31, "SeeAlsoSection", +Cell[21538, 823, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[21813, 837, 1254, 44, 71, "SeeAlso", +Cell[21811, 837, 1254, 44, 71, "SeeAlso", CellID->655647701] }, Open ]], -Cell[23082, 884, 23, 0, 41, "FooterCell"] +Cell[23080, 884, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DOT.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DOT.nb index 342184eea..ffa9be414 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DOT.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DOT.nb @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$74473], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$74593], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DOT", ".html"]], None}]}]}, @@ -208,7 +208,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 56.881521}", + "built" -> "{2020, 6, 20, 19, 4, 20.811007}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DataType.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DataType.nb index 8fd0d2b6b..ec9ea3463 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DataType.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DataType.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 25911, 961] +NotebookDataLength[ 25912, 961] NotebookOptionsPosition[ 17435, 683] -NotebookOutlinePosition[ 22260, 826] -CellTagsIndexPosition[ 22148, 820] +NotebookOutlinePosition[ 22261, 826] +CellTagsIndexPosition[ 22149, 820] WindowTitle->DataType WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$56303], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$56408], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DataType", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1205239117], + CellID->732831778], Cell["", "SectionHeaderSpacer"], @@ -227,7 +227,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1658663371], + CellID->1130400685], Cell[CellGroupData[{ @@ -237,7 +237,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->28126502], + CellID->395178312], Cell["NonCommutative is just a data-type.", "Notes"], @@ -684,7 +684,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DataType", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -696,7 +696,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 6.998476}", + "built" -> "{2020, 6, 20, 19, 3, 36.261267}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -728,9 +728,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6576, 214, 388, 15, 31, "PrimaryExamplesSection", + Cell[6575, 214, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1658663371]}, + CellID->1130400685]}, "DataType"->{ Cell[7241, 243, 240, 8, 27, "Input", CellTags->"DataType", @@ -819,8 +819,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 19451, 729}, - {"DataType", 19587, 733} + {"PrimaryExamplesSection", 19452, 729}, + {"DataType", 19588, 733} } *) (*NotebookFileOutline @@ -832,22 +832,22 @@ Cell[CellGroupData[{ Cell[3928, 113, 681, 17, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4634, 134, 739, 24, 31, "NotesSection", +Cell[4634, 134, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1205239117], -Cell[5376, 160, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5410, 162, 834, 32, 70, "Notes", + CellID->732831778], +Cell[5375, 160, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5409, 162, 834, 32, 49, "Notes", CellID->1067943069], -Cell[6247, 196, 280, 12, 70, "Notes"] +Cell[6246, 196, 280, 12, 32, "Notes"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6576, 214, 388, 15, 31, "PrimaryExamplesSection", +Cell[6575, 214, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1658663371], + CellID->1130400685], Cell[CellGroupData[{ -Cell[6989, 233, 194, 6, 26, "ExampleSection", - CellID->28126502], +Cell[6988, 233, 195, 6, 26, "ExampleSection", + CellID->395178312], Cell[7186, 241, 52, 0, 32, "Notes"], Cell[7241, 243, 240, 8, 27, "Input", CellTags->"DataType", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeclareFCTensor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeclareFCTensor.nb index 76f29290c..10565ba46 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeclareFCTensor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeclareFCTensor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10638, 352] -NotebookOptionsPosition[ 7690, 265] -NotebookOutlinePosition[ 9783, 321] -CellTagsIndexPosition[ 9699, 316] +NotebookDataLength[ 10640, 352] +NotebookOptionsPosition[ 7691, 265] +NotebookOutlinePosition[ 9784, 321] +CellTagsIndexPosition[ 9700, 316] WindowTitle->DeclareFCTensor WindowFrame->Normal*) @@ -81,7 +81,7 @@ DeclareFCTensor.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$58107], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$58212], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DeclareFCTensor", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1806480907], + CellID->1566848007], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->605235900], + CellID->1216819103], Cell[BoxData[ RowBox[{"ClearAll", "[", "myTens", "]"}]], "Input", @@ -265,8 +265,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DeclareFCTensor", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -278,7 +278,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 11.761434}", + "built" -> "{2020, 6, 20, 19, 3, 40.635387}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -310,12 +310,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4542, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1806480907]} + CellID->1566848007]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9555, 309} + {"PrimaryExamplesSection", 9556, 309} } *) (*NotebookFileOutline @@ -328,32 +328,32 @@ Cell[4035, 112, 482, 13, 85, "Usage", Cell[CellGroupData[{ Cell[4542, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1806480907], + CellID->1566848007], Cell[CellGroupData[{ -Cell[4955, 148, 195, 6, 26, "ExampleSection", - CellID->605235900], -Cell[5153, 156, 110, 3, 27, "Input", +Cell[4955, 148, 196, 6, 26, "ExampleSection", + CellID->1216819103], +Cell[5154, 156, 110, 3, 27, "Input", CellID->1149397665], -Cell[5266, 161, 116, 3, 27, "Input", +Cell[5267, 161, 116, 3, 27, "Input", CellID->384608883], Cell[CellGroupData[{ -Cell[5407, 168, 308, 9, 27, "Input", +Cell[5408, 168, 308, 9, 27, "Input", CellID->816959797], -Cell[5718, 179, 1034, 39, 42, "Output", +Cell[5719, 179, 1034, 39, 42, "Output", CellID->919476301] }, Open ]], -Cell[6767, 221, 119, 3, 27, "Input", +Cell[6768, 221, 119, 3, 27, "Input", CellID->2018380174] }, Open ]], -Cell[6901, 227, 31, 0, 29, "SectionFooterSpacer"] +Cell[6902, 227, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6969, 232, 270, 12, 31, "SeeAlsoSection", +Cell[6970, 232, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7242, 246, 406, 14, 56, "SeeAlso", +Cell[7243, 246, 406, 14, 56, "SeeAlso", CellID->1253676121] }, Open ]], -Cell[7663, 263, 23, 0, 41, "FooterCell"] +Cell[7664, 263, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeclareNonCommutative.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeclareNonCommutative.nb index df5e20cde..63ab8204c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeclareNonCommutative.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeclareNonCommutative.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12680, 415] -NotebookOptionsPosition[ 8145, 282] -NotebookOutlinePosition[ 11245, 366] -CellTagsIndexPosition[ 11120, 360] +NotebookDataLength[ 12619, 414] +NotebookOptionsPosition[ 8143, 282] +NotebookOutlinePosition[ 11186, 365] +CellTagsIndexPosition[ 11061, 359] WindowTitle->DeclareNonCommutative WindowFrame->Normal*) @@ -81,7 +81,7 @@ DeclareNonCommutative.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$58547], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$58652], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DeclareNonCommutative", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1552241114], + CellID->457484333], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1050786873], + CellID->952240986], Cell[BoxData[ RowBox[{"DeclareNonCommutative", "[", "x", "]"}]], "Input", @@ -206,7 +206,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"False", ",", "True", ",", "True", ",", "True"}], "}"}], TraditionalForm]], "Output", - ImageSize->{154, 14}, + ImageSize->{154, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"DeclareNonCommutative", @@ -235,7 +235,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"False", ",", "False", ",", "False", ",", "False"}], "}"}], TraditionalForm]], "Output", - ImageSize->{163, 14}, + ImageSize->{163, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"DeclareNonCommutative", @@ -283,7 +283,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DeclareNonCommutative", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -295,7 +295,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 12.789851}", + "built" -> "{2020, 6, 20, 19, 3, 41.640787}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -316,8 +316,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -327,40 +326,40 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4605, 130, 388, 15, 31, "PrimaryExamplesSection", + Cell[4605, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1552241114]}, + CellID->457484333]}, "DeclareNonCommutative"->{ - Cell[5217, 157, 154, 4, 27, "Input", + Cell[5215, 157, 154, 4, 27, "Input", CellTags->"DeclareNonCommutative", CellID->1748012038], - Cell[5516, 170, 176, 5, 27, "Input", + Cell[5514, 170, 176, 5, 27, "Input", CellTags->"DeclareNonCommutative", CellID->903276535], - Cell[5695, 177, 205, 6, 35, "Output", + Cell[5693, 177, 205, 6, 35, "Output", CellTags->"DeclareNonCommutative"], - Cell[5915, 186, 176, 5, 27, "Input", + Cell[5913, 186, 176, 5, 27, "Input", CellTags->"DeclareNonCommutative", CellID->429692038], - Cell[6116, 195, 209, 6, 27, "Input", + Cell[6114, 195, 209, 6, 27, "Input", CellTags->"DeclareNonCommutative", CellID->498899039], - Cell[6328, 203, 286, 9, 35, "Output", + Cell[6326, 203, 286, 9, 37, "Output", CellTags->"DeclareNonCommutative"], - Cell[6629, 215, 188, 5, 27, "Input", + Cell[6627, 215, 188, 5, 27, "Input", CellTags->"DeclareNonCommutative", CellID->660830730], - Cell[6842, 224, 210, 6, 27, "Input", + Cell[6840, 224, 210, 6, 27, "Input", CellTags->"DeclareNonCommutative", CellID->1927435284], - Cell[7055, 232, 289, 9, 35, "Output", + Cell[7053, 232, 289, 9, 37, "Output", CellTags->"DeclareNonCommutative"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10108, 328}, - {"DeclareNonCommutative", 10257, 332} + {"PrimaryExamplesSection", 10050, 327}, + {"DeclareNonCommutative", 10198, 331} } *) (*NotebookFileOutline @@ -371,52 +370,52 @@ Cell[3774, 99, 298, 11, 45, "ObjectNameGrid"], Cell[4075, 112, 505, 14, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4605, 130, 388, 15, 31, "PrimaryExamplesSection", +Cell[4605, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1552241114], + CellID->457484333], Cell[CellGroupData[{ -Cell[5018, 149, 196, 6, 26, "ExampleSection", - CellID->1050786873], -Cell[5217, 157, 154, 4, 27, "Input", +Cell[5017, 149, 195, 6, 26, "ExampleSection", + CellID->952240986], +Cell[5215, 157, 154, 4, 27, "Input", CellTags->"DeclareNonCommutative", CellID->1748012038], -Cell[5374, 163, 117, 3, 32, "Notes"], +Cell[5372, 163, 117, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[5516, 170, 176, 5, 27, "Input", +Cell[5514, 170, 176, 5, 27, "Input", CellTags->"DeclareNonCommutative", CellID->903276535], -Cell[5695, 177, 205, 6, 35, "Output", +Cell[5693, 177, 205, 6, 35, "Output", CellTags->"DeclareNonCommutative"] }, Open ]], -Cell[5915, 186, 176, 5, 27, "Input", +Cell[5913, 186, 176, 5, 27, "Input", CellTags->"DeclareNonCommutative", CellID->429692038], Cell[CellGroupData[{ -Cell[6116, 195, 209, 6, 27, "Input", +Cell[6114, 195, 209, 6, 27, "Input", CellTags->"DeclareNonCommutative", CellID->498899039], -Cell[6328, 203, 286, 9, 35, "Output", +Cell[6326, 203, 286, 9, 37, "Output", CellTags->"DeclareNonCommutative"] }, Open ]], -Cell[6629, 215, 188, 5, 27, "Input", +Cell[6627, 215, 188, 5, 27, "Input", CellTags->"DeclareNonCommutative", CellID->660830730], Cell[CellGroupData[{ -Cell[6842, 224, 210, 6, 27, "Input", +Cell[6840, 224, 210, 6, 27, "Input", CellTags->"DeclareNonCommutative", CellID->1927435284], -Cell[7055, 232, 289, 9, 35, "Output", +Cell[7053, 232, 289, 9, 37, "Output", CellTags->"DeclareNonCommutative"] }, Open ]] }, Open ]], -Cell[7371, 245, 31, 0, 29, "SectionFooterSpacer"] +Cell[7369, 245, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7439, 250, 270, 12, 31, "SeeAlsoSection", +Cell[7437, 250, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7712, 264, 391, 13, 56, "SeeAlso"] +Cell[7710, 264, 391, 13, 56, "SeeAlso"] }, Open ]], -Cell[8118, 280, 23, 0, 70, "FooterCell"] +Cell[8116, 280, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunction.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunction.nb index 79414cc02..e6219e0c0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunction.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunction.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15272, 529] -NotebookOptionsPosition[ 10583, 382] -NotebookOutlinePosition[ 13542, 466] -CellTagsIndexPosition[ 13425, 460] +NotebookDataLength[ 15213, 528] +NotebookOptionsPosition[ 10582, 382] +NotebookOutlinePosition[ 13484, 465] +CellTagsIndexPosition[ 13367, 459] WindowTitle->DeltaFunction WindowFrame->Normal*) @@ -85,7 +85,7 @@ DeltaFunction.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$59431], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$59536], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DeltaFunction", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->149117060], + CellID->889529842], Cell["", "SectionHeaderSpacer"], @@ -191,7 +191,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1801745377], + CellID->1161575716], Cell[CellGroupData[{ @@ -201,7 +201,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1300323557], + CellID->828505060], Cell[CellGroupData[{ @@ -383,7 +383,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DeltaFunction", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -395,7 +395,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 15.080470}", + "built" -> "{2020, 6, 20, 19, 3, 43.712034}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -415,8 +415,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -428,39 +427,39 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5800, 178, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1801745377]}, + CellID->1161575716]}, "DeltaFunction"->{ - Cell[6434, 207, 161, 5, 27, "Input", + Cell[6433, 207, 161, 5, 27, "Input", CellTags->"DeltaFunction", CellID->1276544329], - Cell[6598, 214, 288, 10, 37, "Output", + Cell[6597, 214, 288, 10, 37, "Output", CellTags->"DeltaFunction"], - Cell[6923, 229, 338, 11, 27, "Input", + Cell[6922, 229, 338, 11, 27, "Input", CellTags->"DeltaFunction", CellID->656921459], - Cell[7264, 242, 222, 7, 37, "Output", + Cell[7263, 242, 222, 7, 37, "Output", CellTags->"DeltaFunction"], - Cell[7523, 254, 312, 10, 27, "Input", + Cell[7522, 254, 312, 10, 27, "Input", CellTags->"DeltaFunction", CellID->146135859], - Cell[7838, 266, 222, 7, 37, "Output", + Cell[7837, 266, 222, 7, 37, "Output", CellTags->"DeltaFunction"], - Cell[8097, 278, 337, 11, 27, "Input", + Cell[8096, 278, 337, 11, 27, "Input", CellTags->"DeltaFunction", CellID->77885451], - Cell[8437, 291, 222, 7, 37, "Output", + Cell[8436, 291, 222, 7, 37, "Output", CellTags->"DeltaFunction"], - Cell[8696, 303, 356, 11, 29, "Input", + Cell[8695, 303, 356, 11, 29, "Input", CellTags->"DeltaFunction", CellID->2128349], - Cell[9055, 316, 376, 13, 37, "Output", + Cell[9054, 316, 376, 13, 37, "Output", CellTags->"DeltaFunction"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12441, 427}, - {"DeltaFunction", 12582, 431} + {"PrimaryExamplesSection", 12383, 426}, + {"DeltaFunction", 12524, 430} } *) (*NotebookFileOutline @@ -474,7 +473,7 @@ Cell[4259, 118, 475, 15, 86, "Usage", Cell[CellGroupData[{ Cell[4759, 137, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->149117060], + CellID->889529842], Cell[5500, 163, 31, 0, 70, "SectionHeaderSpacer"], Cell[5534, 165, 217, 7, 70, "Notes", CellID->1067943069] @@ -483,54 +482,54 @@ Cell[5534, 165, 217, 7, 70, "Notes", Cell[CellGroupData[{ Cell[5800, 178, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1801745377], + CellID->1161575716], Cell[CellGroupData[{ -Cell[6213, 197, 196, 6, 26, "ExampleSection", - CellID->1300323557], +Cell[6213, 197, 195, 6, 26, "ExampleSection", + CellID->828505060], Cell[CellGroupData[{ -Cell[6434, 207, 161, 5, 27, "Input", +Cell[6433, 207, 161, 5, 27, "Input", CellTags->"DeltaFunction", CellID->1276544329], -Cell[6598, 214, 288, 10, 37, "Output", +Cell[6597, 214, 288, 10, 37, "Output", CellTags->"DeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[6923, 229, 338, 11, 27, "Input", +Cell[6922, 229, 338, 11, 27, "Input", CellTags->"DeltaFunction", CellID->656921459], -Cell[7264, 242, 222, 7, 37, "Output", +Cell[7263, 242, 222, 7, 37, "Output", CellTags->"DeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[7523, 254, 312, 10, 27, "Input", +Cell[7522, 254, 312, 10, 27, "Input", CellTags->"DeltaFunction", CellID->146135859], -Cell[7838, 266, 222, 7, 37, "Output", +Cell[7837, 266, 222, 7, 37, "Output", CellTags->"DeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[8097, 278, 337, 11, 27, "Input", +Cell[8096, 278, 337, 11, 27, "Input", CellTags->"DeltaFunction", CellID->77885451], -Cell[8437, 291, 222, 7, 37, "Output", +Cell[8436, 291, 222, 7, 37, "Output", CellTags->"DeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[8696, 303, 356, 11, 29, "Input", +Cell[8695, 303, 356, 11, 29, "Input", CellTags->"DeltaFunction", CellID->2128349], -Cell[9055, 316, 376, 13, 37, "Output", +Cell[9054, 316, 376, 13, 37, "Output", CellTags->"DeltaFunction"] }, Open ]] }, Open ]], -Cell[9458, 333, 31, 0, 29, "SectionFooterSpacer"] +Cell[9457, 333, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9526, 338, 270, 12, 31, "SeeAlsoSection", +Cell[9525, 338, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9799, 352, 742, 25, 70, "SeeAlso"] +Cell[9798, 352, 742, 25, 70, "SeeAlso"] }, Open ]], -Cell[10556, 380, 23, 0, 70, "FooterCell"] +Cell[10555, 380, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunctionDoublePrime.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunctionDoublePrime.nb index bc948b0c0..07f41fb02 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunctionDoublePrime.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunctionDoublePrime.nb @@ -81,7 +81,7 @@ DeltaFunctionDoublePrime.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$58986], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$59091], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DeltaFunctionDoublePrime", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 14.084455}", + "built" -> "{2020, 6, 20, 19, 3, 42.636141}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunctionPrime.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunctionPrime.nb index a3b0b91f7..adeb10e4e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunctionPrime.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DeltaFunctionPrime.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12489, 409] +NotebookDataLength[ 12433, 408] NotebookOptionsPosition[ 8672, 296] -NotebookOutlinePosition[ 11390, 370] -CellTagsIndexPosition[ 11268, 364] +NotebookOutlinePosition[ 11334, 369] +CellTagsIndexPosition[ 11212, 363] WindowTitle->DeltaFunctionPrime WindowFrame->Normal*) @@ -87,7 +87,7 @@ DeltaFunctionPrime.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$59876], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$59981], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DeltaFunctionPrime", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->393797030], + CellID->1951770020], Cell[CellGroupData[{ @@ -162,7 +162,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1248269988], + CellID->186813499], Cell[CellGroupData[{ @@ -309,7 +309,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 16.262890}", + "built" -> "{2020, 6, 20, 19, 3, 44.847105}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -329,8 +329,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -340,9 +339,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4937, 139, 387, 15, 31, "PrimaryExamplesSection", + Cell[4937, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->393797030]}, + CellID->1951770020]}, "DeltaFunctionPrime"->{ Cell[5570, 168, 170, 5, 27, "Input", CellTags->"DeltaFunctionPrime", @@ -363,8 +362,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10576, 341}, - {"DeltaFunctionPrime", 10721, 345} + {"PrimaryExamplesSection", 10519, 340}, + {"DeltaFunctionPrime", 10665, 344} } *) (*NotebookFileOutline @@ -375,12 +374,12 @@ Cell[4079, 105, 295, 11, 45, "ObjectNameGrid"], Cell[4377, 118, 535, 17, 86, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4937, 139, 387, 15, 31, "PrimaryExamplesSection", +Cell[4937, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->393797030], + CellID->1951770020], Cell[CellGroupData[{ -Cell[5349, 158, 196, 6, 26, "ExampleSection", - CellID->1248269988], +Cell[5350, 158, 195, 6, 26, "ExampleSection", + CellID->186813499], Cell[CellGroupData[{ Cell[5570, 168, 170, 5, 27, "Input", CellTags->"DeltaFunctionPrime", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Dimension.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Dimension.nb index 03a8c9d6d..86dc33de6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Dimension.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Dimension.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9335, 309] -NotebookOptionsPosition[ 6049, 210] -NotebookOutlinePosition[ 8555, 279] -CellTagsIndexPosition[ 8444, 273] +NotebookDataLength[ 9332, 309] +NotebookOptionsPosition[ 6048, 210] +NotebookOutlinePosition[ 8553, 279] +CellTagsIndexPosition[ 8442, 273] WindowTitle->Dimension WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$60770], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$60875], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Dimension", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1146652023], + CellID->567101635], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->649710797], + CellID->314268025], Cell[CellGroupData[{ @@ -223,7 +223,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 18.671578}", + "built" -> "{2020, 6, 20, 19, 3, 47.052550}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -254,26 +254,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3674, 106, 388, 15, 31, "PrimaryExamplesSection", + Cell[3674, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1146652023]}, + CellID->567101635]}, "Dimension"->{ - Cell[4307, 135, 138, 4, 27, "Input", + Cell[4306, 135, 138, 4, 27, "Input", CellTags->"Dimension", CellID->48360105], - Cell[4448, 141, 432, 13, 37, "Output", + Cell[4447, 141, 432, 13, 37, "Output", CellTags->"Dimension"], - Cell[4917, 159, 205, 6, 27, "Input", + Cell[4916, 159, 205, 6, 27, "Input", CellTags->"Dimension", CellID->1811829745], - Cell[5125, 167, 406, 17, 35, "Output", + Cell[5124, 167, 406, 17, 35, "Output", CellTags->"Dimension"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7971, 255}, - {"Dimension", 8108, 259} + {"PrimaryExamplesSection", 7970, 255}, + {"Dimension", 8106, 259} } *) (*NotebookFileOutline @@ -284,33 +284,33 @@ Cell[2860, 76, 286, 11, 45, "ObjectNameGrid"], Cell[3149, 89, 500, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3674, 106, 388, 15, 31, "PrimaryExamplesSection", +Cell[3674, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1146652023], + CellID->567101635], Cell[CellGroupData[{ -Cell[4087, 125, 195, 6, 26, "ExampleSection", - CellID->649710797], +Cell[4086, 125, 195, 6, 26, "ExampleSection", + CellID->314268025], Cell[CellGroupData[{ -Cell[4307, 135, 138, 4, 27, "Input", +Cell[4306, 135, 138, 4, 27, "Input", CellTags->"Dimension", CellID->48360105], -Cell[4448, 141, 432, 13, 37, "Output", +Cell[4447, 141, 432, 13, 37, "Output", CellTags->"Dimension"] }, Open ]], Cell[CellGroupData[{ -Cell[4917, 159, 205, 6, 27, "Input", +Cell[4916, 159, 205, 6, 27, "Input", CellTags->"Dimension", CellID->1811829745], -Cell[5125, 167, 406, 17, 35, "Output", +Cell[5124, 167, 406, 17, 35, "Output", CellTags->"Dimension"] }, Open ]], Cell[CellGroupData[{ -Cell[5568, 189, 84, 2, 27, "Input"], -Cell[5655, 193, 328, 10, 51, "Output"] +Cell[5567, 189, 84, 2, 27, "Input"], +Cell[5654, 193, 328, 10, 51, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[6022, 208, 23, 0, 41, "FooterCell"] +Cell[6021, 208, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracBasis.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracBasis.nb index b463ce3d5..ebe2b638b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracBasis.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracBasis.nb @@ -79,7 +79,7 @@ DiracBasis.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$61202], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$61307], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracBasis", ".html"]], None}]}]}, @@ -208,7 +208,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 19.777715}", + "built" -> "{2020, 6, 20, 19, 3, 48.058060}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChain.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChain.nb index 92b1edd7f..ba34561bd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChain.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChain.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 25998, 963] -NotebookOptionsPosition[ 21784, 829] -NotebookOutlinePosition[ 23900, 886] -CellTagsIndexPosition[ 23815, 881] +NotebookDataLength[ 25937, 962] +NotebookOptionsPosition[ 21783, 829] +NotebookOutlinePosition[ 23840, 885] +CellTagsIndexPosition[ 23755, 880] WindowTitle->DiracChain WindowFrame->Normal*) @@ -90,7 +90,7 @@ DiracChain.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$63461], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$63566], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracChain", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1984654353], + CellID->10582978], Cell[CellGroupData[{ @@ -161,7 +161,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->406039260], + CellID->1915042491], Cell["A standalone Dirac matrix", "Notes", CellID->1067943069], @@ -842,7 +842,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 25.331641}", + "built" -> "{2020, 6, 20, 19, 3, 53.101509}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -862,8 +862,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -873,14 +872,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4982, 138, 388, 15, 31, "PrimaryExamplesSection", + Cell[4982, 138, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1984654353]} + CellID->10582978]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 23671, 874} + {"PrimaryExamplesSection", 23613, 873} } *) (*NotebookFileOutline @@ -891,80 +890,80 @@ Cell[4209, 108, 287, 11, 45, "ObjectNameGrid"], Cell[4499, 121, 458, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4982, 138, 388, 15, 31, "PrimaryExamplesSection", +Cell[4982, 138, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1984654353], + CellID->10582978], Cell[CellGroupData[{ -Cell[5395, 157, 195, 6, 26, "ExampleSection", - CellID->406039260], -Cell[5593, 165, 63, 1, 32, "Notes", +Cell[5393, 157, 196, 6, 26, "ExampleSection", + CellID->1915042491], +Cell[5592, 165, 63, 1, 32, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[5681, 170, 299, 8, 27, "Input", +Cell[5680, 170, 299, 8, 27, "Input", CellID->1948609293], -Cell[5983, 180, 562, 24, 40, "Output"] +Cell[5982, 180, 562, 24, 40, "Output"] }, Open ]], -Cell[6560, 207, 80, 1, 32, "Notes", +Cell[6559, 207, 80, 1, 32, "Notes", CellID->976984379], Cell[CellGroupData[{ -Cell[6665, 212, 519, 15, 45, "Input", +Cell[6664, 212, 519, 15, 45, "Input", CellID->699845331], -Cell[7187, 229, 691, 29, 43, "Output"] +Cell[7186, 229, 691, 29, 43, "Output"] }, Open ]], -Cell[7893, 261, 109, 3, 32, "Notes", +Cell[7892, 261, 109, 3, 32, "Notes", CellID->1440903900], Cell[CellGroupData[{ -Cell[8027, 268, 265, 8, 27, "Input", +Cell[8026, 268, 265, 8, 27, "Input", CellID->1523270401], -Cell[8295, 278, 713, 29, 38, "Output"] +Cell[8294, 278, 713, 29, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9045, 312, 287, 9, 27, "Input", +Cell[9044, 312, 287, 9, 27, "Input", CellID->2053038750], -Cell[9335, 323, 740, 30, 38, "Output"] +Cell[9334, 323, 740, 30, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10112, 358, 265, 9, 27, "Input", +Cell[10111, 358, 265, 9, 27, "Input", CellID->10435576], -Cell[10380, 369, 713, 29, 38, "Output"] +Cell[10379, 369, 713, 29, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11130, 403, 286, 9, 27, "Input", +Cell[11129, 403, 286, 9, 27, "Input", CellID->213074326], -Cell[11419, 414, 740, 30, 38, "Output"] +Cell[11418, 414, 740, 30, 38, "Output"] }, Open ]], -Cell[12174, 447, 83, 1, 32, "Notes", +Cell[12173, 447, 83, 1, 32, "Notes", CellID->853429857], Cell[CellGroupData[{ -Cell[12282, 452, 620, 17, 62, "Input", +Cell[12281, 452, 620, 17, 62, "Input", CellID->943655043], -Cell[12905, 471, 1361, 53, 43, "Output"] +Cell[12904, 471, 1361, 53, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[14303, 529, 624, 18, 62, "Input", +Cell[14302, 529, 624, 18, 62, "Input", CellID->1504197659], -Cell[14930, 549, 1361, 53, 41, "Output"] +Cell[14929, 549, 1361, 53, 41, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16328, 607, 700, 21, 62, "Input", +Cell[16327, 607, 700, 21, 62, "Input", CellID->765104786], -Cell[17031, 630, 1653, 66, 42, "Output"] +Cell[17030, 630, 1653, 66, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[18721, 701, 365, 12, 27, "Input", +Cell[18720, 701, 365, 12, 27, "Input", CellID->322314800], -Cell[19089, 715, 1031, 42, 42, "Output"] +Cell[19088, 715, 1031, 42, 42, "Output"] }, Open ]] }, Open ]], -Cell[20147, 761, 31, 0, 29, "SectionFooterSpacer"] +Cell[20146, 761, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[20215, 766, 270, 12, 31, "SeeAlsoSection", +Cell[20214, 766, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[20488, 780, 1254, 44, 71, "SeeAlso", +Cell[20487, 780, 1254, 44, 71, "SeeAlso", CellID->655647701] }, Open ]], -Cell[21757, 827, 23, 0, 41, "FooterCell"] +Cell[21756, 827, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainCombine.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainCombine.nb index 37096b011..b1acd773f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainCombine.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainCombine.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23369, 802] -NotebookOptionsPosition[ 20024, 700] -NotebookOutlinePosition[ 22142, 757] -CellTagsIndexPosition[ 22057, 752] +NotebookDataLength[ 23312, 801] +NotebookOptionsPosition[ 20023, 700] +NotebookOutlinePosition[ 22086, 756] +CellTagsIndexPosition[ 22001, 751] WindowTitle->DiracChainCombine WindowFrame->Normal*) @@ -92,7 +92,7 @@ DiracChainCombine.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$61654], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$61759], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracChainCombine", ".html"]], None}]}]}, @@ -163,7 +163,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1203147178], + CellID->406948522], Cell["", "SectionHeaderSpacer"], @@ -208,7 +208,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->177975153], + CellID->974743035], Cell[CellGroupData[{ @@ -218,7 +218,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1741091343], + CellID->1404922619], Cell[CellGroupData[{ @@ -701,7 +701,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracChainCombine", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -713,7 +713,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 20.701229}", + "built" -> "{2020, 6, 20, 19, 3, 48.868679}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -733,8 +733,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -744,14 +743,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6471, 195, 387, 15, 31, "PrimaryExamplesSection", + Cell[6470, 195, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->177975153]} + CellID->974743035]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 21914, 745} + {"PrimaryExamplesSection", 21858, 744} } *) (*NotebookFileOutline @@ -763,47 +762,47 @@ Cell[CellGroupData[{ Cell[4655, 125, 409, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5089, 141, 739, 24, 31, "NotesSection", +Cell[5089, 141, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1203147178], -Cell[5831, 167, 31, 0, 70, "SectionHeaderSpacer"], + CellID->406948522], +Cell[5830, 167, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5887, 171, 120, 3, 70, "Input", +Cell[5886, 171, 120, 3, 70, "Input", CellID->670437197], -Cell[6010, 176, 400, 12, 37, "Output", +Cell[6009, 176, 400, 12, 37, "Output", CellID->1598248678] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6471, 195, 387, 15, 31, "PrimaryExamplesSection", +Cell[6470, 195, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->177975153], + CellID->974743035], Cell[CellGroupData[{ -Cell[6883, 214, 196, 6, 26, "ExampleSection", - CellID->1741091343], +Cell[6882, 214, 196, 6, 26, "ExampleSection", + CellID->1404922619], Cell[CellGroupData[{ -Cell[7104, 224, 1596, 53, 79, "Input", +Cell[7103, 224, 1596, 53, 79, "Input", CellID->1233377850], -Cell[8703, 279, 5264, 191, 68, "Output", +Cell[8702, 279, 5264, 191, 68, "Output", CellID->1716418003] }, Open ]], Cell[CellGroupData[{ -Cell[14004, 475, 114, 3, 27, "Input", +Cell[14003, 475, 114, 3, 27, "Input", CellID->1961255087], -Cell[14121, 480, 4083, 142, 69, "Output", +Cell[14120, 480, 4083, 142, 69, "Output", CellID->1277579139] }, Open ]] }, Open ]], -Cell[18231, 626, 31, 0, 29, "SectionFooterSpacer"] +Cell[18230, 626, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[18299, 631, 270, 12, 31, "SeeAlsoSection", +Cell[18298, 631, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[18572, 645, 1410, 50, 71, "SeeAlso", +Cell[18571, 645, 1410, 50, 71, "SeeAlso", CellID->655647701] }, Open ]], -Cell[19997, 698, 23, 0, 41, "FooterCell"] +Cell[19996, 698, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainExpand.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainExpand.nb index 962f172f2..85236ec51 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainExpand.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainExpand.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15346, 524] +NotebookDataLength[ 15288, 523] NotebookOptionsPosition[ 11912, 421] -NotebookOutlinePosition[ 14126, 479] -CellTagsIndexPosition[ 14041, 474] +NotebookOutlinePosition[ 14068, 478] +CellTagsIndexPosition[ 13983, 473] WindowTitle->DiracChainExpand WindowFrame->Normal*) @@ -92,7 +92,7 @@ DiracChainExpand.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$62103], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$62208], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracChainExpand", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1546387909], + CellID->1597529093], Cell["", "SectionHeaderSpacer"], @@ -212,7 +212,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1251765738], + CellID->470537864], Cell[CellGroupData[{ @@ -222,7 +222,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->714473754], + CellID->1361285226], Cell[CellGroupData[{ @@ -422,7 +422,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracChainExpand", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -434,7 +434,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 21.957957}", + "built" -> "{2020, 6, 20, 19, 3, 49.962519}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -455,8 +455,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -466,14 +465,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6715, 199, 388, 15, 31, "PrimaryExamplesSection", + Cell[6715, 199, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1251765738]} + CellID->470537864]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13897, 467} + {"PrimaryExamplesSection", 13840, 466} } *) (*NotebookFileOutline @@ -487,10 +486,10 @@ Cell[4651, 125, 497, 13, 101, "Usage", Cell[CellGroupData[{ Cell[5173, 142, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1546387909], -Cell[5915, 168, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1597529093], +Cell[5915, 168, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5971, 172, 120, 3, 70, "Input", +Cell[5971, 172, 120, 3, 27, "Input", CellID->1618853500], Cell[6094, 177, 560, 15, 56, "Output", CellID->291092421] @@ -498,12 +497,12 @@ Cell[6094, 177, 560, 15, 56, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6715, 199, 388, 15, 31, "PrimaryExamplesSection", +Cell[6715, 199, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1251765738], + CellID->470537864], Cell[CellGroupData[{ -Cell[7128, 218, 195, 6, 26, "ExampleSection", - CellID->714473754], +Cell[7127, 218, 196, 6, 26, "ExampleSection", + CellID->1361285226], Cell[CellGroupData[{ Cell[7348, 228, 273, 9, 27, "Input", CellID->254261735], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainFactor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainFactor.nb index 05397c40e..1b0410056 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainFactor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainFactor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15848, 542] +NotebookDataLength[ 15790, 541] NotebookOptionsPosition[ 12379, 438] -NotebookOutlinePosition[ 14629, 497] -CellTagsIndexPosition[ 14544, 492] +NotebookOutlinePosition[ 14571, 496] +CellTagsIndexPosition[ 14486, 491] WindowTitle->DiracChainFactor WindowFrame->Normal*) @@ -92,7 +92,7 @@ DiracChainFactor.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$62552], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$62657], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracChainFactor", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->433796507], + CellID->1533070648], Cell["", "SectionHeaderSpacer"], @@ -213,7 +213,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->947108835], + CellID->665357929], Cell[CellGroupData[{ @@ -223,7 +223,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1918343591], + CellID->583780120], Cell[CellGroupData[{ @@ -439,7 +439,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"DiracChainFactor", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -451,7 +451,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 23.084441}", + "built" -> "{2020, 6, 20, 19, 3, 51.062619}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -473,8 +473,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -484,14 +483,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6787, 200, 387, 15, 31, "PrimaryExamplesSection", + Cell[6788, 200, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->947108835]} + CellID->665357929]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14401, 485} + {"PrimaryExamplesSection", 14343, 484} } *) (*NotebookFileOutline @@ -503,25 +502,25 @@ Cell[CellGroupData[{ Cell[4651, 125, 534, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5210, 142, 738, 24, 31, "NotesSection", +Cell[5210, 142, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->433796507], -Cell[5951, 168, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1533070648], +Cell[5952, 168, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[6007, 172, 118, 3, 70, "Input", +Cell[6008, 172, 118, 3, 70, "Input", CellID->1799551006], -Cell[6128, 177, 598, 16, 56, "Output", +Cell[6129, 177, 598, 16, 56, "Output", CellID->2082475804] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6787, 200, 387, 15, 31, "PrimaryExamplesSection", +Cell[6788, 200, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->947108835], + CellID->665357929], Cell[CellGroupData[{ -Cell[7199, 219, 196, 6, 26, "ExampleSection", - CellID->1918343591], +Cell[7200, 219, 195, 6, 26, "ExampleSection", + CellID->583780120], Cell[CellGroupData[{ Cell[7420, 229, 386, 13, 27, "Input", CellID->1596067813], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainJoin.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainJoin.nb index b55c142d5..517ec39c6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainJoin.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracChainJoin.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16534, 565] -NotebookOptionsPosition[ 13198, 465] -NotebookOutlinePosition[ 15337, 522] -CellTagsIndexPosition[ 15252, 517] +NotebookDataLength[ 16478, 564] +NotebookOptionsPosition[ 13197, 465] +NotebookOutlinePosition[ 15282, 521] +CellTagsIndexPosition[ 15197, 516] WindowTitle->DiracChainJoin WindowFrame->Normal*) @@ -94,7 +94,7 @@ DiracChainJoin.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$63004], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$63109], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracChainJoin", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1639035625], + CellID->118418778], Cell["", "SectionHeaderSpacer"], @@ -219,7 +219,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->458288558], + CellID->1795758614], Cell[CellGroupData[{ @@ -229,7 +229,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1946470093], + CellID->978958432], Cell[CellGroupData[{ @@ -466,7 +466,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracChainJoin", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -478,7 +478,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 24.183750}", + "built" -> "{2020, 6, 20, 19, 3, 51.984673}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -498,8 +498,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -509,14 +508,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7017, 206, 387, 15, 31, "PrimaryExamplesSection", + Cell[7016, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->458288558]} + CellID->1795758614]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15109, 510} + {"PrimaryExamplesSection", 15053, 509} } *) (*NotebookFileOutline @@ -528,45 +527,45 @@ Cell[CellGroupData[{ Cell[4757, 127, 434, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5216, 143, 739, 24, 31, "NotesSection", +Cell[5216, 143, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1639035625], -Cell[5958, 169, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5992, 171, 243, 4, 70, "Notes"], + CellID->118418778], +Cell[5957, 169, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5991, 171, 243, 4, 70, "Notes"], Cell[CellGroupData[{ -Cell[6260, 179, 117, 3, 70, "Input", +Cell[6259, 179, 117, 3, 70, "Input", CellID->1965709680], -Cell[6380, 184, 576, 15, 56, "Output"] +Cell[6379, 184, 576, 15, 56, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7017, 206, 387, 15, 31, "PrimaryExamplesSection", +Cell[7016, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->458288558], + CellID->1795758614], Cell[CellGroupData[{ -Cell[7429, 225, 196, 6, 26, "ExampleSection", - CellID->1946470093], +Cell[7429, 225, 195, 6, 26, "ExampleSection", + CellID->978958432], Cell[CellGroupData[{ -Cell[7650, 235, 507, 16, 45, "Input", +Cell[7649, 235, 507, 16, 45, "Input", CellID->857331981], -Cell[8160, 253, 1604, 67, 43, "Output"] +Cell[8159, 253, 1604, 67, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9801, 325, 111, 3, 27, "Input", +Cell[9800, 325, 111, 3, 27, "Input", CellID->1834507663], -Cell[9915, 330, 1265, 51, 42, "Output"] +Cell[9914, 330, 1265, 51, 42, "Output"] }, Open ]] }, Open ]], -Cell[11207, 385, 31, 0, 29, "SectionFooterSpacer"] +Cell[11206, 385, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11275, 390, 270, 12, 31, "SeeAlsoSection", +Cell[11274, 390, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11548, 404, 1608, 56, 71, "SeeAlso", +Cell[11547, 404, 1608, 56, 71, "SeeAlso", CellID->655647701] }, Open ]], -Cell[13171, 463, 23, 0, 41, "FooterCell"] +Cell[13170, 463, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracEquation.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracEquation.nb index 2e468a43c..ce288a649 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracEquation.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracEquation.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16628, 614] -NotebookOptionsPosition[ 12709, 494] -NotebookOutlinePosition[ 14853, 551] -CellTagsIndexPosition[ 14768, 546] +NotebookDataLength[ 16562, 613] +NotebookOptionsPosition[ 12706, 494] +NotebookOutlinePosition[ 14790, 550] +CellTagsIndexPosition[ 14705, 545] WindowTitle->DiracEquation WindowFrame->Normal*) @@ -79,7 +79,7 @@ DiracEquation.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$63911], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$64016], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracEquation", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1635868252], + CellID->1176196753], Cell["", "SectionHeaderSpacer"], @@ -196,7 +196,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1865663870], + CellID->7139338], Cell[CellGroupData[{ @@ -206,7 +206,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->469350563], + CellID->744709104], Cell[CellGroupData[{ @@ -495,7 +495,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracEquation", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -507,7 +507,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 26.533436}", + "built" -> "{2020, 6, 20, 19, 3, 54.178570}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -527,8 +527,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -538,14 +537,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5795, 183, 388, 15, 31, "PrimaryExamplesSection", + Cell[5795, 183, 385, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1865663870]} + CellID->7139338]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14624, 539} + {"PrimaryExamplesSection", 14564, 538} } *) (*NotebookFileOutline @@ -559,7 +558,7 @@ Cell[3935, 112, 632, 18, 85, "Usage", Cell[CellGroupData[{ Cell[4592, 134, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1635868252], + CellID->1176196753], Cell[5334, 160, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5390, 164, 97, 2, 70, "Input"], @@ -568,54 +567,54 @@ Cell[5490, 168, 244, 8, 37, "Output"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5795, 183, 388, 15, 31, "PrimaryExamplesSection", +Cell[5795, 183, 385, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1865663870], + CellID->7139338], Cell[CellGroupData[{ -Cell[6208, 202, 195, 6, 26, "ExampleSection", - CellID->469350563], +Cell[6205, 202, 195, 6, 26, "ExampleSection", + CellID->744709104], Cell[CellGroupData[{ -Cell[6428, 212, 159, 5, 27, "Input"], -Cell[6590, 219, 544, 21, 37, "Output"] +Cell[6425, 212, 159, 5, 27, "Input"], +Cell[6587, 219, 544, 21, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[7171, 245, 89, 2, 27, "Input"], -Cell[7263, 249, 593, 23, 37, "Output"] +Cell[7168, 245, 89, 2, 27, "Input"], +Cell[7260, 249, 593, 23, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[7893, 277, 159, 5, 27, "Input"], -Cell[8055, 284, 544, 21, 37, "Output"] +Cell[7890, 277, 159, 5, 27, "Input"], +Cell[8052, 284, 544, 21, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8636, 310, 89, 2, 27, "Input"], -Cell[8728, 314, 637, 25, 37, "Output"] +Cell[8633, 310, 89, 2, 27, "Input"], +Cell[8725, 314, 637, 25, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9402, 344, 162, 5, 27, "Input"], -Cell[9567, 351, 522, 20, 37, "Output"] +Cell[9399, 344, 162, 5, 27, "Input"], +Cell[9564, 351, 522, 20, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10126, 376, 89, 2, 27, "Input"], -Cell[10218, 380, 166, 5, 35, "Output"] +Cell[10123, 376, 89, 2, 27, "Input"], +Cell[10215, 380, 166, 5, 35, "Output"] }, Open ]], -Cell[10399, 388, 233, 8, 32, "Notes"], +Cell[10396, 388, 233, 8, 32, "Notes"], Cell[CellGroupData[{ -Cell[10657, 400, 164, 5, 27, "Input"], -Cell[10824, 407, 552, 22, 37, "Output"] +Cell[10654, 400, 164, 5, 27, "Input"], +Cell[10821, 407, 552, 22, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11413, 434, 89, 2, 27, "Input"], -Cell[11505, 438, 607, 24, 37, "Output"] +Cell[11410, 434, 89, 2, 27, "Input"], +Cell[11502, 438, 607, 24, 37, "Output"] }, Open ]] }, Open ]], -Cell[12139, 466, 31, 0, 29, "SectionFooterSpacer"] +Cell[12136, 466, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12207, 471, 270, 12, 31, "SeeAlsoSection", +Cell[12204, 471, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12480, 485, 187, 4, 56, "SeeAlso"] +Cell[12477, 485, 187, 4, 56, "SeeAlso"] }, Open ]], -Cell[12682, 492, 23, 0, 41, "FooterCell"] +Cell[12679, 492, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGamma.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGamma.nb index 7fa5aacc7..3dfe2b2f6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGamma.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGamma.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 28754, 1096] -NotebookOptionsPosition[ 21581, 864] -NotebookOutlinePosition[ 25331, 972] -CellTagsIndexPosition[ 25217, 966] +NotebookDataLength[ 28752, 1096] +NotebookOptionsPosition[ 21580, 864] +NotebookOutlinePosition[ 25330, 972] +CellTagsIndexPosition[ 25216, 966] WindowTitle->DiracGamma WindowFrame->Normal*) @@ -87,7 +87,7 @@ DiracGamma.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$65328], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$65433], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracGamma", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1451433407], + CellID->1197582488], Cell["", "SectionHeaderSpacer"], @@ -214,7 +214,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1728287912], + CellID->1207249744], Cell[CellGroupData[{ @@ -224,7 +224,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1617500554], + CellID->507860774], Cell[CellGroupData[{ @@ -877,7 +877,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 30.446317}", + "built" -> "{2020, 6, 20, 19, 3, 57.710570}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -909,64 +909,64 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6293, 201, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1728287912]}, + CellID->1207249744]}, "DiracGamma"->{ - Cell[6927, 230, 132, 4, 27, "Input", + Cell[6926, 230, 132, 4, 27, "Input", CellTags->"DiracGamma", CellID->1046278698], - Cell[7062, 236, 280, 10, 40, "Output", + Cell[7061, 236, 280, 10, 40, "Output", CellTags->"DiracGamma"], - Cell[7379, 251, 178, 5, 27, "Input", + Cell[7378, 251, 178, 5, 27, "Input", CellTags->"DiracGamma", CellID->1161111346], - Cell[7560, 258, 323, 12, 37, "Output", + Cell[7559, 258, 323, 12, 37, "Output", CellTags->"DiracGamma"], - Cell[8231, 289, 186, 6, 27, "Input", + Cell[8230, 289, 186, 6, 27, "Input", CellTags->"DiracGamma", CellID->1887452273], - Cell[8420, 297, 353, 13, 37, "Output", + Cell[8419, 297, 353, 13, 37, "Output", CellTags->"DiracGamma"], - Cell[8810, 315, 299, 9, 27, "Input", + Cell[8809, 315, 299, 9, 27, "Input", CellTags->"DiracGamma", CellID->1345474698], - Cell[9112, 326, 774, 29, 37, "Output", + Cell[9111, 326, 774, 29, 37, "Output", CellTags->"DiracGamma"], - Cell[9923, 360, 235, 8, 27, "Input", + Cell[9922, 360, 235, 8, 27, "Input", CellTags->"DiracGamma", CellID->38879465], - Cell[10161, 370, 302, 11, 37, "Output", + Cell[10160, 370, 302, 11, 37, "Output", CellTags->"DiracGamma"], - Cell[10500, 386, 199, 7, 27, "Input", + Cell[10499, 386, 199, 7, 27, "Input", CellTags->"DiracGamma", CellID->294479801], - Cell[10702, 395, 866, 33, 37, "Output", + Cell[10701, 395, 866, 33, 37, "Output", CellTags->"DiracGamma"], - Cell[11605, 433, 137, 4, 27, "Input", + Cell[11604, 433, 137, 4, 27, "Input", CellTags->"DiracGamma", CellID->324312499], - Cell[11745, 439, 830, 31, 37, "Output", + Cell[11744, 439, 830, 31, 37, "Output", CellTags->"DiracGamma"], - Cell[12612, 475, 289, 9, 27, "Input", + Cell[12611, 475, 289, 9, 27, "Input", CellTags->"DiracGamma", CellID->667969280], - Cell[12904, 486, 1036, 42, 37, "Output", + Cell[12903, 486, 1036, 42, 37, "Output", CellTags->"DiracGamma"], - Cell[13977, 533, 132, 4, 27, "Input", + Cell[13976, 533, 132, 4, 27, "Input", CellTags->"DiracGamma", CellID->1907296195], - Cell[14112, 539, 1290, 50, 37, "Output", + Cell[14111, 539, 1290, 50, 37, "Output", CellTags->"DiracGamma"], - Cell[15439, 594, 135, 4, 27, "Input", + Cell[15438, 594, 135, 4, 27, "Input", CellTags->"DiracGamma", CellID->41068363], - Cell[15577, 600, 1388, 54, 39, "Output", + Cell[15576, 600, 1388, 54, 39, "Output", CellTags->"DiracGamma"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 23458, 908}, - {"DiracGamma", 23596, 912} + {"PrimaryExamplesSection", 23457, 908}, + {"DiracGamma", 23595, 912} } *) (*NotebookFileOutline @@ -980,124 +980,124 @@ Cell[4289, 120, 501, 13, 102, "Usage", Cell[CellGroupData[{ Cell[4815, 137, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1451433407], -Cell[5557, 163, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5591, 165, 83, 1, 70, "Notes", + CellID->1197582488], +Cell[5557, 163, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5591, 165, 83, 1, 32, "Notes", CellID->1067943069], -Cell[5677, 168, 131, 5, 70, "Notes"], -Cell[5811, 175, 220, 10, 70, "Notes"], -Cell[6034, 187, 210, 8, 70, "Notes"] +Cell[5677, 168, 131, 5, 35, "Notes"], +Cell[5811, 175, 220, 10, 40, "Notes"], +Cell[6034, 187, 210, 8, 40, "Notes"] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell[6293, 201, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1728287912], + CellID->1207249744], Cell[CellGroupData[{ -Cell[6706, 220, 196, 6, 26, "ExampleSection", - CellID->1617500554], +Cell[6706, 220, 195, 6, 26, "ExampleSection", + CellID->507860774], Cell[CellGroupData[{ -Cell[6927, 230, 132, 4, 27, "Input", +Cell[6926, 230, 132, 4, 27, "Input", CellTags->"DiracGamma", CellID->1046278698], -Cell[7062, 236, 280, 10, 40, "Output", +Cell[7061, 236, 280, 10, 40, "Output", CellTags->"DiracGamma"] }, Open ]], Cell[CellGroupData[{ -Cell[7379, 251, 178, 5, 27, "Input", +Cell[7378, 251, 178, 5, 27, "Input", CellTags->"DiracGamma", CellID->1161111346], -Cell[7560, 258, 323, 12, 37, "Output", +Cell[7559, 258, 323, 12, 37, "Output", CellTags->"DiracGamma"] }, Open ]], -Cell[7898, 273, 308, 12, 35, "Notes"], +Cell[7897, 273, 308, 12, 35, "Notes"], Cell[CellGroupData[{ -Cell[8231, 289, 186, 6, 27, "Input", +Cell[8230, 289, 186, 6, 27, "Input", CellTags->"DiracGamma", CellID->1887452273], -Cell[8420, 297, 353, 13, 37, "Output", +Cell[8419, 297, 353, 13, 37, "Output", CellTags->"DiracGamma"] }, Open ]], Cell[CellGroupData[{ -Cell[8810, 315, 299, 9, 27, "Input", +Cell[8809, 315, 299, 9, 27, "Input", CellTags->"DiracGamma", CellID->1345474698], -Cell[9112, 326, 774, 29, 37, "Output", +Cell[9111, 326, 774, 29, 37, "Output", CellTags->"DiracGamma"] }, Open ]], Cell[CellGroupData[{ -Cell[9923, 360, 235, 8, 27, "Input", +Cell[9922, 360, 235, 8, 27, "Input", CellTags->"DiracGamma", CellID->38879465], -Cell[10161, 370, 302, 11, 37, "Output", +Cell[10160, 370, 302, 11, 37, "Output", CellTags->"DiracGamma"] }, Open ]], Cell[CellGroupData[{ -Cell[10500, 386, 199, 7, 27, "Input", +Cell[10499, 386, 199, 7, 27, "Input", CellTags->"DiracGamma", CellID->294479801], -Cell[10702, 395, 866, 33, 37, "Output", +Cell[10701, 395, 866, 33, 37, "Output", CellTags->"DiracGamma"] }, Open ]], Cell[CellGroupData[{ -Cell[11605, 433, 137, 4, 27, "Input", +Cell[11604, 433, 137, 4, 27, "Input", CellTags->"DiracGamma", CellID->324312499], -Cell[11745, 439, 830, 31, 37, "Output", +Cell[11744, 439, 830, 31, 37, "Output", CellTags->"DiracGamma"] }, Open ]], Cell[CellGroupData[{ -Cell[12612, 475, 289, 9, 27, "Input", +Cell[12611, 475, 289, 9, 27, "Input", CellTags->"DiracGamma", CellID->667969280], -Cell[12904, 486, 1036, 42, 37, "Output", +Cell[12903, 486, 1036, 42, 37, "Output", CellTags->"DiracGamma"] }, Open ]], Cell[CellGroupData[{ -Cell[13977, 533, 132, 4, 27, "Input", +Cell[13976, 533, 132, 4, 27, "Input", CellTags->"DiracGamma", CellID->1907296195], -Cell[14112, 539, 1290, 50, 37, "Output", +Cell[14111, 539, 1290, 50, 37, "Output", CellTags->"DiracGamma"] }, Open ]], Cell[CellGroupData[{ -Cell[15439, 594, 135, 4, 27, "Input", +Cell[15438, 594, 135, 4, 27, "Input", CellTags->"DiracGamma", CellID->41068363], -Cell[15577, 600, 1388, 54, 39, "Output", +Cell[15576, 600, 1388, 54, 39, "Output", CellTags->"DiracGamma"] }, Open ]], -Cell[16980, 657, 115, 3, 32, "Notes"], +Cell[16979, 657, 115, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[17120, 664, 128, 3, 27, "Input"], -Cell[17251, 669, 470, 19, 40, "Output"] +Cell[17119, 664, 128, 3, 27, "Input"], +Cell[17250, 669, 470, 19, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[17758, 693, 203, 6, 27, "Input"], -Cell[17964, 701, 441, 18, 40, "Output"] +Cell[17757, 693, 203, 6, 27, "Input"], +Cell[17963, 701, 441, 18, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[18442, 724, 131, 3, 27, "Input"], -Cell[18576, 729, 510, 20, 37, "Output"] +Cell[18441, 724, 131, 3, 27, "Input"], +Cell[18575, 729, 510, 20, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[19123, 754, 206, 6, 27, "Input"], -Cell[19332, 762, 451, 18, 37, "Output"] +Cell[19122, 754, 206, 6, 27, "Input"], +Cell[19331, 762, 451, 18, 37, "Output"] }, Open ]], -Cell[19798, 783, 87, 2, 32, "Notes"], +Cell[19797, 783, 87, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[19910, 789, 134, 3, 27, "Input"], -Cell[20047, 794, 292, 11, 39, "Output"] +Cell[19909, 789, 134, 3, 27, "Input"], +Cell[20046, 794, 292, 11, 39, "Output"] }, Open ]] }, Open ]], -Cell[20366, 809, 31, 0, 29, "SectionFooterSpacer"] +Cell[20365, 809, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[20434, 814, 270, 12, 31, "SeeAlsoSection", +Cell[20433, 814, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[20707, 828, 832, 31, 56, "SeeAlso"] +Cell[20706, 828, 832, 31, 56, "SeeAlso"] }, Open ]], -Cell[21554, 862, 23, 0, 41, "FooterCell"] +Cell[21553, 862, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGammaCombine.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGammaCombine.nb index 10c9bdedf..4dde327a1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGammaCombine.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGammaCombine.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17813, 634] -NotebookOptionsPosition[ 12640, 474] -NotebookOutlinePosition[ 15683, 558] -CellTagsIndexPosition[ 15562, 552] +NotebookDataLength[ 17758, 633] +NotebookOptionsPosition[ 12641, 474] +NotebookOutlinePosition[ 15627, 557] +CellTagsIndexPosition[ 15506, 551] WindowTitle->DiracGammaCombine WindowFrame->Normal*) @@ -84,7 +84,7 @@ DiracGammaCombine.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$64366], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$64471], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracGammaCombine", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->244930563], + CellID->1726006086], Cell["", "SectionHeaderSpacer"], @@ -201,7 +201,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1524661129], + CellID->1573987345], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1074586463], + CellID->1961528208], Cell[CellGroupData[{ @@ -475,7 +475,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracGammaCombine", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -487,7 +487,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 27.740324}", + "built" -> "{2020, 6, 20, 19, 3, 55.290233}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -507,8 +507,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -518,41 +517,41 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6112, 188, 388, 15, 31, "PrimaryExamplesSection", + Cell[6113, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1524661129]}, + CellID->1573987345]}, "DiracGammaCombine"->{ - Cell[7535, 252, 144, 4, 27, "Input", + Cell[7536, 252, 144, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->69726605], - Cell[7682, 258, 507, 19, 37, "Output", + Cell[7683, 258, 507, 19, 37, "Output", CellTags->"DiracGammaCombine"], - Cell[8226, 282, 140, 4, 27, "Input", + Cell[8227, 282, 140, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->919953934], - Cell[8369, 288, 280, 8, 51, "Output", + Cell[8370, 288, 280, 8, 51, "Output", CellTags->"DiracGammaCombine"], - Cell[9608, 342, 143, 4, 27, "Input", + Cell[9609, 342, 143, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->2255714], - Cell[9754, 348, 483, 18, 37, "Output", + Cell[9755, 348, 483, 18, 37, "Output", CellTags->"DiracGammaCombine"], - Cell[10274, 371, 141, 4, 27, "Input", + Cell[10275, 371, 141, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->1011380579], - Cell[10418, 377, 388, 13, 51, "Output", + Cell[10419, 377, 388, 13, 51, "Output", CellTags->"DiracGammaCombine"], - Cell[10843, 395, 145, 4, 27, "Input", + Cell[10844, 395, 145, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->365053477], - Cell[10991, 401, 512, 19, 37, "Output", + Cell[10992, 401, 512, 19, 37, "Output", CellTags->"DiracGammaCombine"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14532, 519}, - {"DiracGammaCombine", 14677, 523} + {"PrimaryExamplesSection", 14476, 518}, + {"DiracGammaCombine", 14621, 522} } *) (*NotebookFileOutline @@ -564,78 +563,78 @@ Cell[CellGroupData[{ Cell[4257, 117, 549, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4831, 137, 738, 24, 31, "NotesSection", +Cell[4831, 137, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->244930563], -Cell[5572, 163, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1726006086], +Cell[5573, 163, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5628, 167, 101, 2, 70, "Input"], -Cell[5732, 171, 319, 10, 37, "Output"] +Cell[5629, 167, 101, 2, 27, "Input"], +Cell[5733, 171, 319, 10, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6112, 188, 388, 15, 31, "PrimaryExamplesSection", +Cell[6113, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1524661129], + CellID->1573987345], Cell[CellGroupData[{ -Cell[6525, 207, 196, 6, 26, "ExampleSection", - CellID->1074586463], +Cell[6526, 207, 196, 6, 26, "ExampleSection", + CellID->1961528208], Cell[CellGroupData[{ -Cell[6746, 217, 140, 4, 27, "Input"], -Cell[6889, 223, 609, 24, 37, "Output"] +Cell[6747, 217, 140, 4, 27, "Input"], +Cell[6890, 223, 609, 24, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[7535, 252, 144, 4, 27, "Input", +Cell[7536, 252, 144, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->69726605], -Cell[7682, 258, 507, 19, 37, "Output", +Cell[7683, 258, 507, 19, 37, "Output", CellTags->"DiracGammaCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[8226, 282, 140, 4, 27, "Input", +Cell[8227, 282, 140, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->919953934], -Cell[8369, 288, 280, 8, 51, "Output", +Cell[8370, 288, 280, 8, 51, "Output", CellTags->"DiracGammaCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[8686, 301, 105, 2, 9, "ExampleDelimiter"], +Cell[8687, 301, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[8816, 307, 190, 6, 27, "Input"], -Cell[9009, 315, 562, 22, 37, "Output"] +Cell[8817, 307, 190, 6, 27, "Input"], +Cell[9010, 315, 562, 22, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9608, 342, 143, 4, 27, "Input", +Cell[9609, 342, 143, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->2255714], -Cell[9754, 348, 483, 18, 37, "Output", +Cell[9755, 348, 483, 18, 37, "Output", CellTags->"DiracGammaCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[10274, 371, 141, 4, 27, "Input", +Cell[10275, 371, 141, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->1011380579], -Cell[10418, 377, 388, 13, 51, "Output", +Cell[10419, 377, 388, 13, 51, "Output", CellTags->"DiracGammaCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[10843, 395, 145, 4, 27, "Input", +Cell[10844, 395, 145, 4, 27, "Input", CellTags->"DiracGammaCombine", CellID->365053477], -Cell[10991, 401, 512, 19, 37, "Output", +Cell[10992, 401, 512, 19, 37, "Output", CellTags->"DiracGammaCombine"] }, Open ]] }, Open ]] }, Open ]], -Cell[11542, 425, 31, 0, 29, "SectionFooterSpacer"] +Cell[11543, 425, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11610, 430, 270, 12, 31, "SeeAlsoSection", +Cell[11611, 430, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11883, 444, 715, 25, 56, "SeeAlso"] +Cell[11884, 444, 715, 25, 56, "SeeAlso"] }, Open ]], -Cell[12613, 472, 23, 0, 41, "FooterCell"] +Cell[12614, 472, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGammaExpand.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGammaExpand.nb index bc15f2932..f80aeee34 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGammaExpand.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracGammaExpand.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 30413, 1136] -NotebookOptionsPosition[ 25325, 977] -NotebookOutlinePosition[ 27457, 1034] -CellTagsIndexPosition[ 27371, 1029] +NotebookDataLength[ 30350, 1135] +NotebookOptionsPosition[ 25322, 977] +NotebookOutlinePosition[ 27397, 1033] +CellTagsIndexPosition[ 27311, 1028] WindowTitle->DiracGammaExpand WindowFrame->Normal*) @@ -84,7 +84,7 @@ DiracGammaExpand.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$64858], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$64963], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracGammaExpand", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1797171678], + CellID->36006772], Cell["", "SectionHeaderSpacer"], @@ -221,7 +221,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->427964355], + CellID->378744683], Cell[CellGroupData[{ @@ -231,7 +231,7 @@ Cell[TextData[{ Cell["(5)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1223703523], + CellID->703574402], Cell[CellGroupData[{ @@ -990,7 +990,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 29.051918}", + "built" -> "{2020, 6, 20, 19, 3, 56.527126}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1010,8 +1010,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1021,14 +1020,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6641, 208, 387, 15, 31, "PrimaryExamplesSection", + Cell[6639, 208, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->427964355]} + CellID->378744683]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 27228, 1022} + {"PrimaryExamplesSection", 27168, 1021} } *) (*NotebookFileOutline @@ -1040,104 +1039,104 @@ Cell[CellGroupData[{ Cell[4253, 117, 466, 14, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4744, 135, 739, 24, 31, "NotesSection", +Cell[4744, 135, 737, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1797171678], -Cell[5486, 161, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5520, 163, 504, 18, 70, "Notes"], + CellID->36006772], +Cell[5484, 161, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5518, 163, 504, 18, 70, "Notes"], Cell[CellGroupData[{ -Cell[6049, 185, 100, 2, 70, "Input"], -Cell[6152, 189, 428, 12, 56, "Output"] +Cell[6047, 185, 100, 2, 70, "Input"], +Cell[6150, 189, 428, 12, 56, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6641, 208, 387, 15, 31, "PrimaryExamplesSection", +Cell[6639, 208, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->427964355], + CellID->378744683], Cell[CellGroupData[{ -Cell[7053, 227, 196, 6, 26, "ExampleSection", - CellID->1223703523], +Cell[7051, 227, 195, 6, 26, "ExampleSection", + CellID->703574402], Cell[CellGroupData[{ -Cell[7274, 237, 154, 5, 27, "Input"], -Cell[7431, 244, 841, 32, 37, "Output"] +Cell[7271, 237, 154, 5, 27, "Input"], +Cell[7428, 244, 841, 32, 37, "Output"] }, Open ]], -Cell[8287, 279, 597, 22, 35, "Notes"], +Cell[8284, 279, 597, 22, 36, "Notes"], Cell[CellGroupData[{ -Cell[8909, 305, 92, 2, 27, "Input"], -Cell[9004, 309, 805, 30, 37, "Output"] +Cell[8906, 305, 92, 2, 27, "Input"], +Cell[9001, 309, 805, 30, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9846, 344, 88, 2, 27, "Input"], -Cell[9937, 348, 449, 13, 69, "Output"] +Cell[9843, 344, 88, 2, 27, "Input"], +Cell[9934, 348, 449, 13, 69, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10423, 366, 105, 2, 9, "ExampleDelimiter"], -Cell[10531, 370, 207, 7, 32, "Notes"], +Cell[10420, 366, 105, 2, 9, "ExampleDelimiter"], +Cell[10528, 370, 207, 7, 32, "Notes"], Cell[CellGroupData[{ -Cell[10763, 381, 210, 7, 27, "Input"], -Cell[10976, 390, 938, 36, 37, "Output"] +Cell[10760, 381, 210, 7, 27, "Input"], +Cell[10973, 390, 938, 36, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11951, 431, 93, 2, 27, "Input"], -Cell[12047, 435, 749, 28, 37, "Output"] +Cell[11948, 431, 93, 2, 27, "Input"], +Cell[12044, 435, 749, 28, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12833, 468, 88, 2, 27, "Input"], -Cell[12924, 472, 346, 10, 51, "Output"] +Cell[12830, 468, 88, 2, 27, "Input"], +Cell[12921, 472, 346, 10, 51, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[13319, 488, 105, 2, 9, "ExampleDelimiter"], -Cell[13427, 492, 126, 3, 32, "Notes"], +Cell[13316, 488, 105, 2, 9, "ExampleDelimiter"], +Cell[13424, 492, 126, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[13578, 499, 585, 18, 45, "Input"], -Cell[14166, 519, 1730, 66, 37, "Output"] +Cell[13575, 499, 585, 18, 45, "Input"], +Cell[14163, 519, 1730, 66, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[15933, 590, 178, 5, 27, "Input"], -Cell[16114, 597, 1459, 54, 37, "Output"] +Cell[15930, 590, 178, 5, 27, "Input"], +Cell[16111, 597, 1459, 54, 37, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[17622, 657, 105, 2, 9, "ExampleDelimiter"], -Cell[17730, 661, 657, 22, 49, "Notes"], +Cell[17619, 657, 105, 2, 9, "ExampleDelimiter"], +Cell[17727, 661, 657, 22, 49, "Notes"], Cell[CellGroupData[{ -Cell[18412, 687, 196, 6, 27, "Input"], -Cell[18611, 695, 314, 12, 35, "Output"] +Cell[18409, 687, 196, 6, 27, "Input"], +Cell[18608, 695, 314, 12, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[18962, 712, 92, 2, 27, "Input"], -Cell[19057, 716, 605, 26, 35, "Output"] +Cell[18959, 712, 92, 2, 27, "Input"], +Cell[19054, 716, 605, 26, 35, "Output"] }, Open ]], -Cell[19677, 745, 240, 7, 32, "Notes"], +Cell[19674, 745, 240, 7, 32, "Notes"], Cell[CellGroupData[{ -Cell[19942, 756, 320, 9, 45, "Input"], -Cell[20265, 767, 626, 23, 37, "Output"] +Cell[19939, 756, 320, 9, 45, "Input"], +Cell[20262, 767, 626, 23, 37, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[20940, 796, 105, 2, 9, "ExampleDelimiter"], -Cell[21048, 800, 373, 12, 32, "Notes"], +Cell[20937, 796, 105, 2, 9, "ExampleDelimiter"], +Cell[21045, 800, 373, 12, 32, "Notes"], Cell[CellGroupData[{ -Cell[21446, 816, 223, 7, 27, "Input"], -Cell[21672, 825, 757, 29, 39, "Output"] +Cell[21443, 816, 223, 7, 27, "Input"], +Cell[21669, 825, 757, 29, 39, "Output"] }, Open ]], -Cell[22444, 857, 374, 12, 32, "Notes"], +Cell[22441, 857, 374, 12, 32, "Notes"], Cell[CellGroupData[{ -Cell[22843, 873, 269, 8, 27, "Input"], -Cell[23115, 883, 1070, 40, 37, "Output"] +Cell[22840, 873, 269, 8, 27, "Input"], +Cell[23112, 883, 1070, 40, 37, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[24224, 928, 31, 0, 29, "SectionFooterSpacer"] +Cell[24221, 928, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[24292, 933, 270, 12, 31, "SeeAlsoSection", +Cell[24289, 933, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[24565, 947, 718, 25, 56, "SeeAlso"] +Cell[24562, 947, 718, 25, 56, "SeeAlso"] }, Open ]], -Cell[25298, 975, 23, 0, 41, "FooterCell"] +Cell[25295, 975, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracIndex.nb index 60fb0a68f..98212af94 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16151, 557] -NotebookOptionsPosition[ 11702, 413] -NotebookOutlinePosition[ 14322, 488] -CellTagsIndexPosition[ 14210, 482] +NotebookDataLength[ 16095, 556] +NotebookOptionsPosition[ 11703, 413] +NotebookOutlinePosition[ 14265, 487] +CellTagsIndexPosition[ 14153, 481] WindowTitle->DiracIndex WindowFrame->Normal*) @@ -94,7 +94,7 @@ DiracIndex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$66244], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$66349], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracIndex", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->566175382], + CellID->608356980], Cell["", "SectionHeaderSpacer"], @@ -225,7 +225,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1698871770], + CellID->1951497622], Cell[CellGroupData[{ @@ -235,7 +235,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->60457271], + CellID->126660046], Cell[CellGroupData[{ @@ -413,8 +413,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracIndex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -426,7 +426,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 33.010596}", + "built" -> "{2020, 6, 20, 19, 4, 0.084355}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -444,8 +444,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -457,32 +456,32 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[7010, 212, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1698871770]}, + CellID->1951497622]}, "SUNIndex"->{ - Cell[7642, 241, 129, 4, 27, "Input", + Cell[7643, 241, 129, 4, 27, "Input", CellTags->"SUNIndex", CellID->973923672], - Cell[7774, 247, 210, 7, 35, "Output", + Cell[7775, 247, 210, 7, 35, "Output", CellTags->"SUNIndex", CellID->2017526493], - Cell[8021, 259, 127, 4, 27, "Input", + Cell[8022, 259, 127, 4, 27, "Input", CellTags->"SUNIndex", CellID->293124345], - Cell[8151, 265, 233, 7, 51, "Output", + Cell[8152, 265, 233, 7, 51, "Output", CellTags->"SUNIndex", CellID->1562880488], - Cell[9117, 309, 216, 8, 27, "Input", + Cell[9118, 309, 216, 8, 27, "Input", CellTags->"SUNIndex", CellID->874008605], - Cell[9336, 319, 336, 10, 51, "Output", + Cell[9337, 319, 336, 10, 51, "Output", CellTags->"SUNIndex", CellID->270559869]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13522, 456}, - {"SUNIndex", 13658, 460} + {"PrimaryExamplesSection", 13465, 455}, + {"SUNIndex", 13601, 459} } *) (*NotebookFileOutline @@ -496,11 +495,11 @@ Cell[4741, 127, 342, 11, 84, "Usage", Cell[CellGroupData[{ Cell[5108, 142, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->566175382], -Cell[5849, 168, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5883, 170, 247, 8, 70, "Notes", + CellID->608356980], +Cell[5849, 168, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5883, 170, 247, 8, 32, "Notes", CellID->1067943069], -Cell[6133, 180, 271, 9, 70, "Notes", +Cell[6133, 180, 271, 9, 32, "Notes", CellID->1624463599], Cell[6407, 191, 554, 15, 70, "Notes", CellID->1835295214] @@ -509,56 +508,56 @@ Cell[6407, 191, 554, 15, 70, "Notes", Cell[CellGroupData[{ Cell[7010, 212, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1698871770], + CellID->1951497622], Cell[CellGroupData[{ -Cell[7423, 231, 194, 6, 26, "ExampleSection", - CellID->60457271], +Cell[7423, 231, 195, 6, 26, "ExampleSection", + CellID->126660046], Cell[CellGroupData[{ -Cell[7642, 241, 129, 4, 27, "Input", +Cell[7643, 241, 129, 4, 27, "Input", CellTags->"SUNIndex", CellID->973923672], -Cell[7774, 247, 210, 7, 35, "Output", +Cell[7775, 247, 210, 7, 35, "Output", CellTags->"SUNIndex", CellID->2017526493] }, Open ]], Cell[CellGroupData[{ -Cell[8021, 259, 127, 4, 27, "Input", +Cell[8022, 259, 127, 4, 27, "Input", CellTags->"SUNIndex", CellID->293124345], -Cell[8151, 265, 233, 7, 51, "Output", +Cell[8152, 265, 233, 7, 51, "Output", CellTags->"SUNIndex", CellID->1562880488] }, Open ]], Cell[CellGroupData[{ -Cell[8421, 277, 107, 3, 27, "Input", +Cell[8422, 277, 107, 3, 27, "Input", CellID->1927371187], -Cell[8531, 282, 187, 6, 35, "Output", +Cell[8532, 282, 187, 6, 35, "Output", CellID->1717337875] }, Open ]], Cell[CellGroupData[{ -Cell[8755, 293, 105, 3, 27, "Input", +Cell[8756, 293, 105, 3, 27, "Input", CellID->1807480238], -Cell[8863, 298, 217, 6, 51, "Output", +Cell[8864, 298, 217, 6, 51, "Output", CellID->125060963] }, Open ]], Cell[CellGroupData[{ -Cell[9117, 309, 216, 8, 27, "Input", +Cell[9118, 309, 216, 8, 27, "Input", CellTags->"SUNIndex", CellID->874008605], -Cell[9336, 319, 336, 10, 51, "Output", +Cell[9337, 319, 336, 10, 51, "Output", CellTags->"SUNIndex", CellID->270559869] }, Open ]] }, Open ]], -Cell[9699, 333, 31, 0, 29, "SectionFooterSpacer"] +Cell[9700, 333, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9767, 338, 270, 12, 31, "SeeAlsoSection", +Cell[9768, 338, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[10040, 352, 1620, 56, 71, "SeeAlso", +Cell[10041, 352, 1620, 56, 70, "SeeAlso", CellID->655647701] }, Open ]], -Cell[11675, 411, 23, 0, 41, "FooterCell"] +Cell[11676, 411, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracIndexDelta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracIndexDelta.nb index 858e58f61..436f4e9f3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracIndexDelta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracIndexDelta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 26397, 984] -NotebookOptionsPosition[ 22168, 848] -NotebookOutlinePosition[ 24331, 905] -CellTagsIndexPosition[ 24246, 900] +NotebookDataLength[ 26343, 983] +NotebookOptionsPosition[ 22169, 848] +NotebookOutlinePosition[ 24276, 904] +CellTagsIndexPosition[ 24191, 899] WindowTitle->DiracIndexDelta WindowFrame->Normal*) @@ -92,7 +92,7 @@ DiracIndexDelta.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$65787], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$65892], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracIndexDelta", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->552219747], + CellID->1384395987], Cell[CellGroupData[{ @@ -165,7 +165,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1558230122], + CellID->1959875669], Cell[CellGroupData[{ @@ -861,7 +861,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 31.845786}", + "built" -> "{2020, 6, 20, 19, 3, 58.909672}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -881,8 +881,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -892,14 +891,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5189, 142, 387, 15, 31, "PrimaryExamplesSection", + Cell[5189, 142, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->552219747]} + CellID->1384395987]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 24103, 893} + {"PrimaryExamplesSection", 24047, 892} } *) (*NotebookFileOutline @@ -910,82 +909,82 @@ Cell[4330, 110, 292, 11, 45, "ObjectNameGrid"], Cell[4625, 123, 539, 15, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5189, 142, 387, 15, 31, "PrimaryExamplesSection", +Cell[5189, 142, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->552219747], + CellID->1384395987], Cell[CellGroupData[{ -Cell[5601, 161, 196, 6, 26, "ExampleSection", - CellID->1558230122], +Cell[5602, 161, 196, 6, 26, "ExampleSection", + CellID->1959875669], Cell[CellGroupData[{ -Cell[5822, 171, 210, 6, 27, "Input", +Cell[5823, 171, 210, 6, 27, "Input", CellID->334232589], -Cell[6035, 179, 381, 16, 39, "Output", +Cell[6036, 179, 381, 16, 39, "Output", CellID->20772612] }, Open ]], Cell[CellGroupData[{ -Cell[6453, 200, 237, 7, 27, "Input", +Cell[6454, 200, 237, 7, 27, "Input", CellID->1160563166], -Cell[6693, 209, 392, 16, 42, "Output", +Cell[6694, 209, 392, 16, 42, "Output", CellID->843930386] }, Open ]], Cell[CellGroupData[{ -Cell[7122, 230, 111, 3, 27, "Input", +Cell[7123, 230, 111, 3, 27, "Input", CellID->1638726287], -Cell[7236, 235, 187, 6, 35, "Output", +Cell[7237, 235, 187, 6, 35, "Output", CellID->1241539029] }, Open ]], Cell[CellGroupData[{ -Cell[7460, 246, 174, 5, 27, "Input", +Cell[7461, 246, 174, 5, 27, "Input", CellID->1419299763], -Cell[7637, 253, 187, 6, 35, "Output", +Cell[7638, 253, 187, 6, 35, "Output", CellID->1731780001] }, Open ]], Cell[CellGroupData[{ -Cell[7861, 264, 375, 11, 45, "Input", +Cell[7862, 264, 375, 11, 45, "Input", CellID->483228122], -Cell[8239, 277, 622, 27, 40, "Output", +Cell[8240, 277, 622, 27, 40, "Output", CellID->1915476533] }, Open ]], Cell[CellGroupData[{ -Cell[8898, 309, 111, 3, 27, "Input", +Cell[8899, 309, 111, 3, 27, "Input", CellID->1782586861], -Cell[9012, 314, 382, 16, 38, "Output", +Cell[9013, 314, 382, 16, 38, "Output", CellID->600762965] }, Open ]], Cell[CellGroupData[{ -Cell[9431, 335, 1610, 44, 147, "Input", +Cell[9432, 335, 1610, 44, 147, "Input", CellID->343925321], -Cell[11044, 381, 3068, 131, 38, "Output", +Cell[11045, 381, 3068, 131, 38, "Output", CellID->1928929144] }, Open ]], Cell[CellGroupData[{ -Cell[14149, 517, 111, 3, 27, "Input", +Cell[14150, 517, 111, 3, 27, "Input", CellID->1092912350], -Cell[14263, 522, 2177, 87, 41, "Output", +Cell[14264, 522, 2177, 87, 41, "Output", CellID->1955736589] }, Open ]], Cell[CellGroupData[{ -Cell[16477, 614, 195, 6, 27, "Input", +Cell[16478, 614, 195, 6, 27, "Input", CellID->654220270], -Cell[16675, 622, 1950, 76, 41, "Output", +Cell[16676, 622, 1950, 76, 41, "Output", CellID->359616923] }, Open ]], Cell[CellGroupData[{ -Cell[18662, 703, 196, 6, 27, "Input", +Cell[18663, 703, 196, 6, 27, "Input", CellID->427410435], -Cell[18861, 711, 1481, 59, 37, "Output", +Cell[18862, 711, 1481, 59, 37, "Output", CellID->1386750926] }, Open ]] }, Open ]], -Cell[20369, 774, 31, 0, 29, "SectionFooterSpacer"] +Cell[20370, 774, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[20437, 779, 270, 12, 31, "SeeAlsoSection", +Cell[20438, 779, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[20710, 793, 1416, 50, 71, "SeeAlso", +Cell[20711, 793, 1416, 50, 71, "SeeAlso", CellID->979184841] }, Open ]], -Cell[22141, 846, 23, 0, 41, "FooterCell"] +Cell[22142, 846, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracMatrix.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracMatrix.nb index 3a8b3df55..b5509c39f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracMatrix.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracMatrix.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17278, 620] -NotebookOptionsPosition[ 12140, 460] -NotebookOutlinePosition[ 15176, 544] -CellTagsIndexPosition[ 15061, 538] +NotebookDataLength[ 17272, 620] +NotebookOptionsPosition[ 12139, 460] +NotebookOutlinePosition[ 15171, 544] +CellTagsIndexPosition[ 15056, 538] WindowTitle->DiracMatrix WindowFrame->Normal*) @@ -80,7 +80,7 @@ DiracMatrix.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$66695], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$66800], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracMatrix", ".html"]], None}]}]}, @@ -194,7 +194,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1769322560], + CellID->1015305503], Cell["", "SectionHeaderSpacer"], @@ -244,7 +244,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1876846923], + CellID->778757009], Cell[CellGroupData[{ @@ -254,7 +254,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1801548614], + CellID->1531582665], Cell[CellGroupData[{ @@ -460,8 +460,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 31}}, WindowTitle->"DiracMatrix", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -473,7 +473,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 34.320473}", + "built" -> "{2020, 6, 20, 19, 4, 1.208781}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -511,34 +511,34 @@ CellTagsIndex->{ CellID->1215792887], Cell[6673, 213, 333, 11, 37, "Output", CellTags->"DiracMatrix"], - Cell[7701, 260, 137, 4, 27, "Input", + Cell[7700, 260, 137, 4, 27, "Input", CellTags->"DiracMatrix", CellID->888527237], - Cell[7841, 266, 321, 12, 37, "Output", + Cell[7840, 266, 321, 12, 37, "Output", CellTags->"DiracMatrix"], - Cell[8177, 281, 255, 7, 49, "Notes", + Cell[8176, 281, 255, 7, 49, "Notes", CellTags->"DiracMatrix", CellID->477550014], - Cell[8457, 292, 202, 6, 27, "Input", + Cell[8456, 292, 202, 6, 27, "Input", CellTags->"DiracMatrix", CellID->216003987], - Cell[8662, 300, 485, 19, 37, "Output", + Cell[8661, 300, 485, 19, 37, "Output", CellTags->"DiracMatrix"], - Cell[9184, 324, 179, 6, 27, "Input", + Cell[9183, 324, 179, 6, 27, "Input", CellTags->"DiracMatrix", CellID->1775640770], - Cell[9366, 332, 261, 7, 51, "Output", + Cell[9365, 332, 261, 7, 51, "Output", CellTags->"DiracMatrix"]}, "PrimaryExamplesSection"->{ - Cell[7067, 231, 388, 15, 31, "PrimaryExamplesSection", + Cell[7067, 231, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1876846923]} + CellID->778757009]} } *) (*CellTagsIndex CellTagsIndex->{ - {"DiracMatrix", 14156, 507}, - {"PrimaryExamplesSection", 14917, 531} + {"DiracMatrix", 14152, 507}, + {"PrimaryExamplesSection", 14913, 531} } *) (*NotebookFileOutline @@ -552,7 +552,7 @@ Cell[3977, 113, 1617, 55, 111, "Usage", Cell[CellGroupData[{ Cell[5619, 172, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1769322560], + CellID->1015305503], Cell[6361, 198, 31, 0, 70, "SectionHeaderSpacer"], Cell[6395, 200, 108, 3, 70, "Notes", CellID->1067943069], @@ -566,62 +566,62 @@ Cell[6673, 213, 333, 11, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7067, 231, 388, 15, 31, "PrimaryExamplesSection", +Cell[7067, 231, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1876846923], + CellID->778757009], Cell[CellGroupData[{ -Cell[7480, 250, 196, 6, 26, "ExampleSection", - CellID->1801548614], +Cell[7479, 250, 196, 6, 26, "ExampleSection", + CellID->1531582665], Cell[CellGroupData[{ -Cell[7701, 260, 137, 4, 27, "Input", +Cell[7700, 260, 137, 4, 27, "Input", CellTags->"DiracMatrix", CellID->888527237], -Cell[7841, 266, 321, 12, 37, "Output", +Cell[7840, 266, 321, 12, 37, "Output", CellTags->"DiracMatrix"] }, Open ]], -Cell[8177, 281, 255, 7, 49, "Notes", +Cell[8176, 281, 255, 7, 49, "Notes", CellTags->"DiracMatrix", CellID->477550014], Cell[CellGroupData[{ -Cell[8457, 292, 202, 6, 27, "Input", +Cell[8456, 292, 202, 6, 27, "Input", CellTags->"DiracMatrix", CellID->216003987], -Cell[8662, 300, 485, 19, 37, "Output", +Cell[8661, 300, 485, 19, 37, "Output", CellTags->"DiracMatrix"] }, Open ]], Cell[CellGroupData[{ -Cell[9184, 324, 179, 6, 27, "Input", +Cell[9183, 324, 179, 6, 27, "Input", CellTags->"DiracMatrix", CellID->1775640770], -Cell[9366, 332, 261, 7, 51, "Output", +Cell[9365, 332, 261, 7, 51, "Output", CellTags->"DiracMatrix"] }, Open ]], -Cell[9642, 342, 134, 3, 32, "Notes"], +Cell[9641, 342, 134, 3, 48, "Notes"], Cell[CellGroupData[{ -Cell[9801, 349, 82, 2, 27, "Input"], -Cell[9886, 353, 295, 11, 37, "Output"] +Cell[9800, 349, 82, 2, 27, "Input"], +Cell[9885, 353, 295, 11, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10218, 369, 83, 2, 27, "Input"], -Cell[10304, 373, 271, 10, 37, "Output"] +Cell[10217, 369, 83, 2, 70, "Input"], +Cell[10303, 373, 271, 10, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10612, 388, 180, 5, 27, "Input"], -Cell[10795, 395, 169, 5, 35, "Output"] +Cell[10611, 388, 180, 5, 70, "Input"], +Cell[10794, 395, 169, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11001, 405, 244, 7, 27, "Input"], -Cell[11248, 414, 169, 5, 35, "Output"] +Cell[11000, 405, 244, 7, 70, "Input"], +Cell[11247, 414, 169, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[11444, 423, 31, 0, 70, "SectionFooterSpacer"] +Cell[11443, 423, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11512, 428, 270, 12, 70, "SeeAlsoSection", +Cell[11511, 428, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[11785, 442, 313, 13, 70, "SeeAlso"] +Cell[11784, 442, 313, 13, 70, "SeeAlso"] }, Open ]], -Cell[12113, 458, 23, 0, 70, "FooterCell"] +Cell[12112, 458, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracOrder.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracOrder.nb index 038fcd33d..fd729c2e5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracOrder.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracOrder.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 29906, 1138] +NotebookDataLength[ 29849, 1137] NotebookOptionsPosition[ 22747, 907] -NotebookOutlinePosition[ 26397, 1011] -CellTagsIndexPosition[ 26283, 1005] +NotebookOutlinePosition[ 26340, 1010] +CellTagsIndexPosition[ 26226, 1004] WindowTitle->DiracOrder WindowFrame->Normal*) @@ -81,7 +81,7 @@ DiracOrder.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$67182], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$67287], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracOrder", ".html"]], None}]}]}, @@ -163,7 +163,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1168226821], + CellID->465350948], Cell["", "SectionHeaderSpacer"], @@ -202,7 +202,7 @@ Cell[BoxData[ RowBox[{"FCVerbose", "\[Rule]", "False"}], ",", RowBox[{"MaxIterations", "\[Rule]", "\[Infinity]"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{433, 53}, + ImageSize->{433, 54}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[159]="] @@ -227,7 +227,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->981129014], + CellID->1249294874], Cell[CellGroupData[{ @@ -237,7 +237,7 @@ Cell[TextData[{ Cell["(5)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->368538720], + CellID->745384244], Cell[CellGroupData[{ @@ -920,7 +920,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 35.739581}", + "built" -> "{2020, 6, 20, 19, 4, 2.272385}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -940,8 +940,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -951,9 +950,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6954, 214, 387, 15, 31, "PrimaryExamplesSection", + Cell[6953, 214, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->981129014]}, + CellID->1249294874]}, "DiracOrder"->{ Cell[7586, 243, 179, 6, 27, "Input", CellTags->"DiracOrder", @@ -1004,8 +1003,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 24682, 952}, - {"DiracOrder", 24819, 956} + {"PrimaryExamplesSection", 24624, 951}, + {"DiracOrder", 24762, 955} } *) (*NotebookFileOutline @@ -1017,24 +1016,24 @@ Cell[CellGroupData[{ Cell[4015, 114, 788, 23, 148, "Usage", CellID->2090318364], Cell[CellGroupData[{ -Cell[4828, 141, 739, 24, 31, "NotesSection", +Cell[4828, 141, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1168226821], -Cell[5570, 167, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5604, 169, 508, 14, 70, "Notes"], + CellID->465350948], +Cell[5569, 167, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5603, 169, 508, 14, 66, "Notes"], Cell[CellGroupData[{ -Cell[6137, 187, 94, 2, 70, "Input"], -Cell[6234, 191, 659, 16, 74, "Output"] +Cell[6136, 187, 94, 2, 27, "Input"], +Cell[6233, 191, 659, 16, 75, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6954, 214, 387, 15, 31, "PrimaryExamplesSection", +Cell[6953, 214, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->981129014], + CellID->1249294874], Cell[CellGroupData[{ Cell[7366, 233, 195, 6, 26, "ExampleSection", - CellID->368538720], + CellID->745384244], Cell[CellGroupData[{ Cell[7586, 243, 179, 6, 27, "Input", CellTags->"DiracOrder", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracReduce.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracReduce.nb index ff7c2a9a0..f827846dd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracReduce.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracReduce.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 40926, 1351] -NotebookOptionsPosition[ 33999, 1135] -NotebookOutlinePosition[ 37562, 1234] -CellTagsIndexPosition[ 37409, 1227] +NotebookDataLength[ 40876, 1350] +NotebookOptionsPosition[ 34001, 1135] +NotebookOutlinePosition[ 37510, 1233] +CellTagsIndexPosition[ 37357, 1226] WindowTitle->DiracReduce WindowFrame->Normal*) @@ -82,7 +82,7 @@ DiracReduce.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$67674], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$67779], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracReduce", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1602023328], + CellID->1998421596], Cell["", "SectionHeaderSpacer"], @@ -275,7 +275,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1928237849], + CellID->1914652803], Cell[CellGroupData[{ @@ -285,7 +285,7 @@ Cell[TextData[{ Cell["(5)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->139398663], + CellID->1329164364], Cell[CellGroupData[{ @@ -521,99 +521,99 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQdUFNceh01ezit5eYk+44t5VhQVBDWoiQKiYMGGomKiInqUh13R2FCx -g2JEBVuMgEQN9obBAgaxG0ApUlWagBTpbGH77JvdRd3dqezOLC77/85Jjt7Z -e3fvzG/vzOxc72fmuXzK/I9btWq16u/o/6bM9XFauXLuerfW6F++9161aIH3 -PK+x3qvnLZi3crDnX9DCyeh/xz5q1UrxZzkAAABgIOrTdv5RLjWWZgF9aHnH -WsKrFSHN8s7Ah4qkLNJ3tf+OaVt/Dt68N/lNXmygXZs29seKJI3bpeWXxnz5 -abel55PSY3bYtPnaNeRxpViOCEvi9oy0WRiRXN8YZYSfF30jqU6K12wqR1qX -sHe+i72l2TfuhzP5jRkUF5+c4bjzuVDxLjWJ12MKGiCcrNKyjrW4MHSMVffu -5r2GrE3m6tsY8EEgY2gEkBQedRoTlZu8NaaMX34vh4vwM3ydrNtZrktrUG4X -FYRP9+jy9dBb1XI598nsHv2D80WqmsKXR5Yn1jU2I31zfc36ezUygmYr8yPC -k+plaGuhQ7uPj6uVK74aL87s2WE/aLsy6miHqmLX+ERXwLUde7SsY81N3rbw -dHodBMbIkRQdd/N8gIaLl+I9dPbjevVt4or7u8fab8kSyBsyfIZOiq7SHvVk -nPRzoedv3YrYMtc/vl5ta0PGNjuLUfPcL7xWnbP5mYE+Z360Nvv+VjUaXH56 -oM/FE3adcaIuyg1b9bQx6oKsbc4rknlyomYRaYNU+Z78FG97r0SuXFabEH4q -q+TuRPu3UUebT1w00v+5gKG9BWBpScdaWBC62NXWrK3ZmK13q2FsM1qQqptu -486USuXCF/6DR14ol2ltr7vv4XwoX1Ae5bk9kaM1qslqbi+ZcCgPDanwub+j -+2OOxkZOSujcHv+xnLb/KXqSRaO+Len5iWGd7UIKRdX3N+xLL4waQhF1SfEx -J8wn0mxWBT9997yQPKG49GbYtdci9COrR136+uTw4adKIKIs0tKOtaQidt1A -S68ncBPa/Ahzg6b9sDeniecq3tPFzgEvhHJpyW+OgwNeCrW3C7J3umyOf3Ly -eJr2oCaXvbk8ziEwR5FRfurKkRvSG7ReUJ+2/eyZ9YOsFyfx+Fl7tqdxau94 -dLP48capteeLRZXXGqPOS5pnYbMn9+2NSU6Ib4pqfBTlBtqPjq7GfGS1ZtG/ -IdyM02H3q9BxOWff1AkTXV1dxzt83dZyjFfYK2WTsorIUQ4HC8T43ReVxP12 -OYvX9HtvnSs2H7L6lIunH1VKyEp0xgiOdVOQvbky2hl7klfDlJJDE1YChjZx -+XJKHcmRwAG9RrMddaMKEeUddeo9K4GDqS3I3ObkselUrvaQhcJ5PK2HbYTi -3Mh75udx+G1YFTQUnIktkygeYxW9DHKcHFvDzwjYnMpFB8mt1m2tPGKrZUhl -lL0q6pLicLueP8TVKI+zrDJu4ylVRuWy8ovOw4+/lpI0iwgKYy7de4PmWMYr -zOGoXlr/cKqD37szuLjwF6exUZV4KZKUX10xOzQPM5RTonPF5qYhM9hjfaz6 -3RW2pMltGsWxpgkiFim/AuKCkGk7MwkvEUwvOTRhI2CE+GhSVlbWuEFaesbJ -YthwjxXbAoNcB7juuYp5lMR5smRhRBHe+U+QvaVPh0EuW078Hnnq+J1yjZeI -Sy/7+uw7um/m5uDdW37NqMyN8bP7zvd6Ll9UcsFrRxpfynl2YZHZF929r2Tz -ZAgv44jX+B+WbPALCPDfGf7s3WWhKP+Qy3z1X/s0m82qKz49q1e3XlYova0d -NmY0Dr2aUa+7P3diyCucDsiqbnoMXpLAwW6hgEZFH2Le7/zmAKmJ8xi06JHa -z6DYEiykHTGGY023L/y01ba9Ryzdf/xEeGQOn2iXsJkcSj7YaKnQLWDSN1EL -liVq7xdx5YNjC50dJv+0JwTvskpamxi6ysPdy3v1hh1hKfXvr8iQquipIw7r -dtEuKQxxGLxH/RINg96TjpD6xD2+17WbaEqzkrKrG4KSMffPcuWIPsxixp/a -uxLhvYx7WiOVI/zMoEm9u/Ya4OKfwkVoVNRsvDb++JqpTiPX7du+ZLzVv9v2 -8bxUxsStnuojNuRH73J3HDo/9OSRLXPtOli4X3gYFR64aqp1hwFrUnkUlWv+ -GG/hElONkJRoIsg/vXRolzadx+zNUmQL4T4L9g3N076Q+aCP9Tvo9YUCVpND -/e5sRkuuZ7rkugRMrvxRdJSL8vG2JnX3JpsPCo48koXdZ4LsgCEWMy+VYAcv -xahmuxbzkxgtxAUHbb9Zm6FT3aYgqUmOS67V8fsiqXl6O5WgMjdhunn/A/ma -e0VWfXeTfzJHcbd0YsLEg5l8WX3C5oAMPmVFbZDqmDH/NV8RWylF77WuTWjX -etDZMswNPsJ/lVKky0yrhgwfi44uZwrRc0r1LaevunhFlUvQaBz/tpPjzSqE -vFlB9qa+VivTGshK1BAWXQh7WCmqT9jYz3zGY45cUhLh4rgzm5Uny6wd60YY -6gu7yaGEVrT0gSxdFbU4swc1aWLAlBAMa7yn8y1sNkceSKrBvBM/ZbHZvzoM -nzINZbpXQDZf+wUmSu1dp07f/qb51Eycf3i8VzxHMWgfdduYothVgtzw8FwB -VUUMdQ+mmfXelKWsyEteYNZx8r06jRcgwtKEY+ipKKyo6adaUc7uvp1dbilO -f7zkRT16LFJMjEDPiRO72gQ9L6RoVpS3z8bcPYFLVqKOTKz8zkiKw4fa7c+r -il87dkMC6RXRBwwzfWEpOZLSC56jh2kxbumjOq0PSBkttJ94U5fpQpKu4Owc -zOxBbH36AXvfZVuLNm372Wt1GR1frawWXz50D2cuYt195/bdlqXCaKYF5/GU -bgN+1vwhpjZu3LeKK1BJ4a9ua1N4yjujoJ0pHMqK2nATPbv3WqE6Pwmyt/bp -6fVQO53Ko207RIdhTfzqcP9OI69WyBQHfq1Ft9mKr5Mi7d36+L8QUjUrfL69 -r+VS9TxgS3C7lDBn2KrzfjOw83yMD/36wmpyqD87dbQEBdSDDyGk6RJozx7E -QZeA4V6tiXIDbSw8zh+JePowNkP7YabwZUCfdjZBOS324YuOiPL2DrDSGu65 -Tzx7WC46Ff9n2DjXiD/jow4td5t/vkRCXVELfqp3z25zlUddUnLW3WFZdBXO -KZp8/BGVJ9yMe8nD3l5Iin8d1NHhbJlUmRfrrlPu1iKKb+pcc8t1mQ2UoyUn -fkYv+9OlUpISae2Ti1dStGba81OXW/UesSutqSf/Zoapvqi1w2ZyKKETLczU -ZSw6p6vxU6hmD+J+QhoBw4A7rAmeb3ewnjLHzftYOhf7QRFu2s+ejnau89du -3uoXFFXGwKyeFoHw5Y7B9r8UauwOadXt7a69v/zbxx//7YvOA902XcoXYJOP -V1EDQZZv7/bfzVy5I/hA4LYNB+5U4A8xpOMPejYa+Pk/eq7TmmQgrnh6zrvn -5x3dz2XXFD0Km9nxsy5eV3KrXtza69yutc2+RzUSimFN+GLH4BEaW7EldQ9n -9eo1677mRQD/2bpJgZms/5bKNEz1Rb0d9pJDCc1oqSAefHRPl1xt9iAudAKG -geiRAdB0ZLX3fSb/hH3qwUtZOeEw2Q+7RBUbEeXs6tt1yp1aqksBqptQaenv -Pmdx59bo3CzCSfSd4pes9oAOW4KLpOz8nMnnWsa/1dC/L2wlhxK60ZJTDT46 -pwt39qDaZl0DBjCIsCgqOERrzp0ga+vIpUkUT7LxKjYiLjjUv/PoG5h/P4uB -fFiTVNy5cLuUbP5Mk5sVFt04tP+W+uU6tgQXWeW1aeYD9X6G90HAUF/YSA4l -tKNFMfjonC7xa9zZg2/ROWAA0yCiqmq1dbWQ+scL+jlfozFTXauiqkxQ/CD8 -f2aftXc9+qBUSNqGuDr11NSuPRdfza5n8hqIpFmZ4I3WCmLYElyQ6pixfdzO -Mzo9qrlgsC+MJoe6UhOiRT74sIbOAQMAAAAAAAAAAAAAAAAAAAAAAAAAAAD0 -hCljCwAAQPOhl7EFYBBC/Q0AAE1CH2MLwCCk+hsAAJqAHsaWRkxJXcGe9IRS -f/MeU9rhNGFVRgMYHfoYWxSYnrqCJScFif5GA9Pb4TQxqCsEaC5omR30MbbI -QXpCWIILWV/I9DdqgCuEGJ2PC2BkiIqvBwWGRhxe0PPTv37lvNTvZIHmckv6 -GFvkID0hKdGEUhRCQ3+jAFwhpPV1cYUARgbCSVzz3bCQQrFc+Hyr5Vd25zBe -B32MLQpAekJcoga1KISu/gZcIYy7QgDjAg3emE79lFcA3CeeVg66qEEoAOkJ -cYk6jElPwBXCvCuEvMvAB4ak6NjA9gPQ76asMnrR1IAUFlarBOkJcQlul/SV -noArhHFXCGBcyLgZZ9cvXn3w3NXIuDx2NBsgPSEsYVB6Aq4QNl0hgDEhq4qe -Y9mp7T8/+Qjlk9b9VyUT3CDpBUhPiEoYlJ6AK4RNVwhgPIjLbu7yu1SoihUi -qXkSvC6eFcsLSE9wS3BhRHoCrhBwhZgo0vJLo81HRlaorvNl3JzYq3+UsDYN -E6QnBpaegCsEXCGmCMJLD5xk2b7TN87TF6z7KeRyUjXLV+EgPaFsk1npCbhC -tABXCAAAAAAAAAAAAAAAAAAAAAAAAEAOuAwAADB+yFwGKmCNfQMA2ggAYAwq -lwGssW8wQBsBAMxA5TKgtca+Ka2uz96y+dTaCBWmtLdpAi4DQB1KlwH1Gvum -t7o+S8vmU2gjVJje3qYJuAxMAmZcBpRr7IPOgKAEF9K+kGojVIDLgBjdDor0 -TdSCZYnwy4oxobfLgHKNfdAZEJZoQqkzoAO4DEjr6+IykL4+OcqlietdAs0I -Ay4D6jX2QWdAXKIGtc6AFuAyYNxlAMOacWEAl4EcdAZkJeowozMAlwHzLgNb -izZt+9mDy8BIMIDLQA46A7IS3C7ppTMAlwHjLgO4WjMuDOAykIPOgKSEKZ0B -uAzYdBnAsGZMGMZlIAedAXEJUzoDcBmw6TKAYc14MJjLQA46A4ISXPTXGYDL -AFwGJophXQZy0BkYVmcALgNwGZgiBncZyEFnYFidAbgMtACXAQAAAAAAAAAA -AAAAAAAAAAAAAAB8+IBRAgB0hnL9fLAYGApqowQAADQhWz8fLAYGg9IoAQAA -bUjWzweLgRYsLphPZZTQwJT2OU3AZQCoQ7J+PlgMsLC0YD6lUeI9prfPaQIu -A5OA3srzxOvng8UAD1YsBpRGiXeAy4AYnQ8NYGRQuQxIAIsBQWXmLQaURol3 -gMuAtL4uLgPAyKB2GZAAFgODWQwojRLvAZcB4y4DwLhg22UAFgPiEnWYsRio -AJcBUy4DwEhh22UAFgPiEtwu6WUxUAEuA8ZdBoBxwbbLACwGhCVMWQwwrYHL -gHGXAWBMGMBlABYDohKmLAbY1sBlwLTLADAeDOMyAIsBbgku+lsMVIDLAFwG -JooBXQZgMTCkxeDte4LLAFwGpodhXQZgMaBsk0GLQWOD4DLQBFwGAAAAAAAA -AMAi/wc6p+KR +1:eJztnQdUFNceh01ezit5eYk+44t5VhSVYgmWKCAKFmwoKiYqokd52BWNDRU7 +KEZUsMUISNRgJSoGCxrEbgClSFVpAlKks4Xts292F3V3p7I7s7js/zsnOXpn +7929M7+9M7NzvZ+Z54qpCz5u1arV6r+j/5s6z8dp1ap5G9xao3/5znv14oXe +873Gea+Zv3D+qiGef0ELp6D/Hf+oVSvFn+UAAACAgahP2/VHudRYmgX0oeUd +awmvVoQ0yzsDHyqSsijfNf47p2/7KXjLvuQ3ebGBdm3a2B8vkjRul5ZfHPvl +p92WXUhKv7nTps3XriGPK8VyRFgSt3eUzaKI5PrGKCP8vJjrSXVSvGZTOdK6 +hH0LXOwtzb5xP5LJb8yguPjUTMddz4WKd6lJvHazoAHCySot61iLC0PHWnfv +bt5r6Lpkrr6NAR8EMoZGAEnhMaex0bnJ226W8cvv5XARfoavU+92luvTGpTb +RQXhMzy6fD3sVrVczn0yp0f/4HyRqqbw5dEViXWNzUjfXFu74V6NjKDZyvyI +8KR6Gdpa6LDuE+Jq5Yqvxouze3faD96hjDraoarYtT4xFXBtxx4t61hzk7cv +OpNeB4ExciRFJ9w8H6Dh4qV4D5vzuF59m7ji/p5x9luzBPKGDJ9hk2OqtEc9 +GSf9fOiFW7cits7zj69X29qQsd3OYvR898jXqnM2PzPQ5+wPvc2+u1WNBpef +Hujz20m7zjhRF+WGrX7aGHVB1nbnlck8OVGziLRBqnxPfoq3vVciVy6rTQg/ +nVVyd5L926ijzScuHu3/XMDQ3gKwtKRjLSwIXeJqa9bWbOy2u9UwthktSNUN +t/FnS6Vy4Qv/IaMiy2Va2+vuezgfzheUR3vuSORojWqymttLJx7OQ0MqfO7v +6P6Yo7GRkxI6r8d/LKcfeIqeZNGob096fnJ4Z7uQQlH1/Y370wujh1JEXVJ8 +3AnziTSbVcFP3zM/JE8oLr0RdvW1CP3I6lGXvj41YsTpEogoi7S0Yy2piF0/ +0NLrCdyENj/C3KDp3+/LaeK5ivd0iXPAC6FcWvKr45CAl0Lt7YLsXS5b4p+c +OpGmPajJZW8ujXcIzFFklJ+6atTG9AatF9Sn7Th3dsPg3kuSePysvTvSOLV3 +PLpZ/HD99LoLxaLKq41R5yXNt7DZm/v2xiQnxDdFNT6KcgPtx8RUYz6yWrPo +3xBuxpmw+1XouJyzf9rESa6urhMcvm5rOdYr7JWySVlF1GiHQwVi/O6LSuJ+ +vZzNa/q9t84Vmw9ZfcrFM48qJWQlOmMEx7opyN5cHuOMPcmrYUrJoQkrAUOb +uHQppY7kSOCAXqPZjr5ehYjyjjlZzU7gYGoLMrc7eWw+nas9ZKFwHk/vYRuh +ODfynvl5HHkbVgUNBWdjyySKx1hFL4Mcp8TW8DMCtqRy0UFyW++21h6x1TKk +MtpeFXVJcbhdz+/japTHWVYZt+m0KqNyWflvziNOvJaSNIsICm9evPcGzbGM +V5jDUb20/uE0B793Z3Bx4c9O46Ir8VIkKb+yck5oHmYop0Tnis1NQ2awx4ZY +9bsrbEmT2zSKY00TRCxSfgXEBSHTd2USXiKYXnJowkbACPHRpKysrHGDtPSs +k8XwER4rtwcGuQ5w3XsF8yiJ82TpoogivPOfIHtrnw6DXbae/D3q9Ik75Rov +EZde8vXZf2z/rC3Be7b+klGZe9PP7lvfa7l8UUmk1840vpTzLHKx2RfdvdHT +lgzhZRz1mvD90o1+AQH+u8KfvbssFOUfdlmg/mufZrNZdcVnZvfq1ssaxaq3 +w6aMxqFXM+p19+dNCnmF0wFZ1Q2PIUsTONgtFNCo6EPM+53fHCA1cR6DFz9S ++xkUW4KFtCPGcKzp9oWftsbWauSyAydOhkfl8Il2CZvJoeSDjZYK3QImfRO9 +cHmi9n4RVz44vsjZYcqPe0PwLquktYmhqz3cvbzXbNwZllL//ooMqYqZNvKI +bhftksIQhyF71S/RMOg96QipT9zre027iaY0Kym7sjEoGXP/LFeO6MMtZv6p +vSsR3su4pzVSOcLPDJps1bXXABf/FC5Co6Jm47XxJ9ZOcxq1fv+OpROs/922 +j+fFMiZu9VQfsSE/Zre747AFoaeObp1n18HCPfJhdHjg6mm9OwxYm8qjqFzz +xwQLl5vVCEmJJoL8M8uGdWnTeey+LEW2EO6zYN/QPO0LmQ/6WL+DXl8oYDU5 +1O/OZrTkeqZLrkvA5MofRUe7KB9va1J3b4r54OCoo1nYfSbIDhhqMetiCXbw +UoxqtuswP4nRQlxwyPabdRk61W0KkprkuORaHb8vkpqnt1MJKnMTZpj3P5iv +uVdk1Xc3+ydzFHdLJydOOpTJl9UnbAnI4FNW1Aapvjn2v+YrYyul6L3W1Ynt +Wg8+V4a5wUf4r1KKdJlp1ZDhY9HR5Wwhek6pvuX0VRev6HIJGo0Tgzo53qhC +yJsVZG/ua70qrYGsRA1hUWTYw0pRfcKmfuYzH3PkkpIIF8dd2aw8WWbtWDfC +UF/YTQ4ltKKlD2TpqqjFmT2oSRMDpoRgWOM9XWBhsyXqYFIN5p34KUvM/tVh +xNTpKDO8ArL52i8wUWrvOnUa9KvmUzNx/pEJXvEcxaB9zG1TimJXCXLDw3MF +VBUx1D2Ybma1OUtZkZe80KzjlHt1Gi9AhKUJx9FTUVhR00+1opw9fTu73FKc +/njJi3v0WKyYGIGeEyd1tQl6XkjRrChvv425ewKXrEQdmVj5nZEUhw+zO5BX +Fb9u3MYE0iuiDxhm+sJSciSlkZ5jhmsxftmjOq0PSBkttJ94U5fpQpKu4Owc +zOxBbH36AXvfZVuLNm372Wt1GR1fra2XXDp8D2cuYt195/bdlqfCaKYF5/HU +bgN+0vwhpjZu/CDFFaik8Be3dSk85Z1R0K4UDmVFbbiJnt17rVSdnwTZ2/r0 +9HqonU7l0bYdqsOwJn51pH+nUVcqZIoDv86i2xzF10mR9m59/F8IqZoVPt/R +13KZeh6wJbhdSpg7fPUFv5nYeT7Gh359YTU51J+dOlqCAurBhxDSdAm0Zw/i +oEvAcK/WRLmBNhYeF45GPH0Ym6H9MFP4MqBPO5ugnBb78EVHRHn7BlhrDffc +J549LBefjv8zbLxrxJ/x0YdXuC24UCKhrqgFP9W7Z7d5yqMuKTnn7rA8pgrn +FE0+/ojKE27EveRhby8kxb8M7uhwrkyqzEvvrlPv1iKKb+o8c8v1mQ2UoyUn +fmYv+zOlUpISae2T3y6naM2056eusLYauTutqSf/Zoapvqi1w2ZyKKETLczU +ZSw6p6vxU6hmD+J+QhoBw4A7rAme73DoPXWum/fxdC72gyLctJ88He1cF6zb +ss0vKLqMgVk9LQLhy51D7H8u1Ngd0qrbO1ytvvzbxx//7YvOA902X8wXYJOP +V1EDQZavVftvZ63aGXwwcPvGg3cq8IcY0vEHPRsN/PwfPddrTTIQVzw9793z +847u57Nrih6Fzer4WRevy7lVL27tc27X2mb/oxoJxbAmfLFzyEiNrdiSuoez +e/WafV/zIoD/bP3kwEzWf0tlGqb6ot4Oe8mhhGa0VBAPPrqnS642exAXOgHD +QPTIAGg6str7PlN+xD714KWsmniE7IddooqNiHJ29+069U4t1aUA1U2otPR3 +n3O4c2t0bhbhJPpO9UtWe0CHLcFFUnZh7pTzLePfaujfF7aSQwndaMmpBh+d +04U7e1Bts64BAxhEWBQdHKI1506QtW3UsiSKJ9l4FRsRFxzu33nMdcy/n8VA +PqxJKu5E3i4lmz/T5GaFRdcPH7ilfrmOLcFFVnl1uvlAvZ/hfRAw1Bc2kkMJ +7WhRDD46p0v8Gnf24Ft0DhjANIioqlptXS2k/vHCfs5XacxU16qoKhMUPwj/ +n9ln7V2PPSgVkrYhrk49Pa1rzyVXsuuZvAYiaVYmeKO1ghi2BBek+ua4Pm4X +GJ0e1Vww2BdGk0NdqQnRIh98WEPngAEAAAAAAAAAAAAAAAAAAAAAAAAAAAB6 +wpSxBQAAoPnQy9gCMAih/gYAgCahj7EFYBBS/Q0AAE1AD2NLI6akrmBPekKp +v3mPKe1wmrAqowGMDn2MLQpMT13BkpOCRH+jgentcJoY1BUCNBe0zA76GFvk +ID0hLMGFrC9k+hs1wBVCjM7HBTAyRMXXggJDI44s7PnpX79yXuZ3qkBzuSV9 +jC1ykJ6QlGhCKQqhob9RAK4Q0vq6uEIAIwPhJK79dnhIoVgufL7N8iu78xiv +gz7GFgUgPSEuUYNaFEJXfwOuEMZdIYBxgQZvbKd+yisA7hNPawdd1CAUgPSE +uEQdxqQn4Aph3hVC3mXgA0NSfHxQ+wHod1NWGbN4WkAKC6tVgvSEuAS3S/pK +T8AVwrgrBDAuZNzMcxuXrDl0/kpUXB47mg2QnhCWMCg9AVcIm64QwJiQVcXM +tezU9p+ffITySev+q5MJbpD0AqQnRCUMSk/AFcKmKwQwHsRlN3b7XSxUxQqR +1DwJXh/PiuUFpCe4JbgwIj0BVwi4QkwUafnFMeajoipU1/kybk7slT9KWJuG +CdITA0tPwBUCrhBTBOGlB062bN/pG+cZC9f/GHIpqZrlq3CQnlC2yaz0BFwh +WoArBAAAAAAAAAAAAAAAAAAAAAAAACAHXAYAABg/ZC4DFbDGvgEAbQQAMAaV +ywDW2DcYoI0AAGagchnQWmPflFbXZ2/ZfGpthApT2ts0AZcBoA6ly4B6jX3T +W12fpWXzKbQRKkxvb9MEXAYmATMuA8o19kFnQFCCC2lfSLURKsBlQIxuB0X6 +Jnrh8kT4ZcWY0NtlQLnGPugMCEs0odQZ0AFcBqT1dXEZSF+fGu3SxPUugWaE +AZcB9Rr7oDMgLlGDWmdAC3AZMO4ygGHNuDCAy0AOOgOyEnWY0RmAy4B5l4Gt +RZu2/ezBZWAkGMBlIAedAVkJbpf00hmAy4BxlwFcrRkXBnAZyEFnQFLClM4A +XAZsugxgWDMmDOMykIPOgLiEKZ0BuAzYdBnAsGY8GMxlIAedAUEJLvrrDMBl +AC4DE8WwLgM56AwMqzMAlwG4DEwRg7sM5KAzMKzOAFwGWoDLAAAAAAAAAAAA +AAAAAAAAAAAAAAA+fMAoAQA6Q7l+PlgMDAW1UQIAAJqQrZ8PFgODQWmUAACA +NiTr54PFQAsWF8ynMkpoYEr7nCbgMgDUIVk/HywGWFhaMJ/SKPEe09vnNAGX +gUlAb+V54vXzwWKABysWA0qjxDvAZUCMzocGMDKoXAYkgMWAoDLzFgNKo8Q7 +wGVAWl8XlwFgZFC7DEgAi4HBLAaURon3gMuAcZcBYFyw7TIAiwFxiTrMWAxU +gMuAKZcBYKSw7TIAiwFxCW6X9LIYqACXAeMuA8C4YNtlABYDwhKmLAaY1sBl +wLjLADAmDOAyAIsBUQlTFgNsa+AyYNplABgPhnEZgMUAtwQX/S0GKsBlAC4D +E8WALgOwGBjSYvD2PcFlAC4D08OwLgOwGFC2yaDFoLFBcBloAi4DAAAAAAAA +AGCR/wMmZOLP "], {{0, 81}, {413, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -627,7 +627,7 @@ AMAi/wc6p+KR ImageRegion->{{0, 1}, {0, 1}}, CellTags->{"DiracReduce", "RasterizedOutput"}, CellLabel->"Out[2]=", - CellID->1093575305] + CellID->2116840375] }, Open ]] }, Open ]], @@ -700,57 +700,57 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQtQVGUUx+kx1dQ0UzmNzjhWJipKppaTroqoECJDo0CFFhUyKkqGDRCi -lY8wyFCx0hxZMVLUwCRMS0t7+IgULBBQNECSRFAQl11g33vbhQZyl3v3Pr57 -9ls4vxkd8bp7z/1937nPdf+Do5aGLrzTw8Mj/j7rb6Hzlk2Li5u3POwh6w8v -xcYvjo5dMH9mbMKC6AVxE6Lusv7lMOuv6js8PGx/ZhAEQZC+i7H1lt7i6iIQ -BEH6PIYrykDvIUM8h09O/FPj6mIQBEH6PJo/1yzaU6YykXgvM55sywBadQSd -OOJeTtyrWmh0NcqYWYrB/QYHrv71poh9s7E2KyzqpIphWotjp7xe0PL/ZYYb -Jz6eOWnVBS3TXr5syuwjTfYjYVaX5Shzf/wxe9W8tadb/r/Uov37hx27D36f -lfDMI488MWz48FH+KZe0wssjBmypkqzCwFkGtJNO2McIDglzXgTcTmhrItBq -YQdCHow3jiWNGzG/SPBNDEvT4bCgvddMjO7S2gn++xrMdstVJyICNl/WNhyM -+qBQbbfp5uaf3nxhc7Xeemy4uHbqKwXq7ndVnYwP2Vylt41kpl/wYRfteboB -LlWKVUDYynCJE44xAkbcnBcDpxPqmgi8WriBYENXlR7+8oZK8QcX8/VvZgT0 -MNmd0Ho2JiD1ko4x1e2aOiH1L539cm1FSvDK00U7s0oddh/m63lBPmmVVjFM -W0mc/4qy9q5FzT+FTlp5wbYx+soN/m/8TsSZBEXQpUqwKhgJWtjKcIkTjjES -gwxayBfJ6YS2JoKvFm4g2DC3FOflFauE7lWtRymDvuNFhpqM8JTzQnVbj3uK -579vsuirt00b+doZtcP6tefXTIt4f3dVD1utLggfqsiuM1nH61xyxBbbgfI/ -zA37pivW2ZzpqrbOXU3oQaRoReClSrEqGAlaWMpwjRP2MRIFeS3ki+R0Ql0T -wVcLNhBiWNYT9fX1HQvbShMUI/2WfJL15Y78yjaWUy+W1zKM6dreaV6+0yPe -XpOWPuvZWesP1LTbvYW66M1F2bWGHt5UW7Fq1MDxwau+/DZ/d9YvDbf9E+O1 -rxeHJGUd+jZ7x9GrDudF4JArtcexIGn1dkzXD0a/VSjb1TxbGa5wwjVGwIib -87dBwgllTUS0Wl5+SAwEI7qJDI0nMxcF+ISsW5/heFzQXt6zZMrjDz8WuOGC -bZlFc27Tu8pqYSfFpluFyviIV+bHJqz4cHtxS/dRztJ05EW/LTWiWsB4JcNn -wnqgoxSnIsZ2979k17r0bV9kbYx++kHbf/2xce+QuNJ2GUrV//Ndepoye0v0 -sPvv6R+wJHlnze3DIcWqHaarO58P/vkW22JpWkgi2QnJMZJNi7AiAecJL6Rp -IV+tMz8cCBoIJ03Ejup4iOf4TflbL9jv0nW1+7afatS3nHlvtOfcAjVjrMsO -nppSIWivrK1Inez16v46R6E204pEcXdlDDWfKcYklstzR6cHWBVZN6O1JCUo -JPOy7RBtaT4aOHTGoQaD0Wg0mSzkS7WoC995zjfjioHRXVw9ov/EnHr760Ep -Vu1xOqMkaCEHASeEp5M8WoQUCTtPeCJBC+lqnfvhQNhs6bGJjNf2Rc3wtSNo -yW+q7lnQenah19iV+Z/+0ewwM8yGjmqN/+yYMvGT6qbTiTNXnBH2lKitOGbw -gwOnh4ZbmTM/taJNyIvlhoecTjgUGa/u9B3+0nFV50/qgtChk78W/OSTL+bG -Q4GDRnccpzVFUd4+22uNMqylW4vC6+F+oyfRrQXGCeNWswXMCeNWWroA8MO7 -iVhoL1/m7R2Tt/n4DfaPHWvORPrG5ybPFf55KtWJgAFPvlVC1d5YMFyKWn57 -4fHRG6s7L2j0lR+PV8h4a8VYmzluwLPWSWRuPLL4xdRijbwfWnJytkyHFmAn -zqFAC3VOGCq0dAHpR9xNDH1V2liviNyt2WdPHSt3fEDdSVvJUu+Rfh+Vsj3U -Y0f3V+qoR8emV7r+mYF4OBVpCiOe9Hqn44rGfPPY0qDlp0Q9Z+aHWVP+1fKY -hM9yDuT/XC18MITCPaMo0QLsxCk0aKHNCUOHli4g/YjbLWsvfuDzVGhkWGxm -mYZVRdu5pNlp50Xd2bFoSj+Pmjpx1sLElauT0w/Wu/IZt0i4FWmrlJF+c5K/ -yNmj3KQ82Sjf1SJjbjoSOWJQvwfuvsPK3Q89Ey/3d5BwzygqtIA7cYrrtdDn -hKFBSxewfkQ/8nOGsT43MiSnjsjXXiBiMdQf/ih5/5XOyw6LsbloU9JpGQbb -rUAnjqATbnqJH3PjoXDPcZ9edsPT3F6EqWH/DE///BudJxpmTeWxA0fr3PnO -EAHQiSPohJve4sdy84eZo8Jy6+W9rkCcYGktS5s9YsCgMQFzopPWZeT9cRMH -BJ04gk64QT8IgiAIgiAIgiAIgiAIgiAIwgNMcukR1IIG0AAaAAQuiwc8ZkgK -oLFNVIZnYcQPtgZ2gYuAzeIBjRmSAmRsE53hWX0w4scObA3sAinIluTCkE5X -AY0ZklMLwdgm6EQqnvTBiB87enFr8AS7QApyJbnYIJuuAhkzJKsWgrFN0OFZ -/MCIn97cGvzALnAR5LJ4pMW4uFfADcMztomXE6LhWXwCbuADiSAjfvhAwgC9 -rQE1BzhqFr4uN4qQ44PMSS5kY27goCfgxpkTsolUfL/tCj6QCCrih1Q97tsa -NM4B2C6gATmTXMjG3IBCRcCNcyeE0454tSR8IBFgxA+hety4NaibA+BdQAG0 -JLlAxyG5Q8CNC+KQeATcQAYSga2R98QAqgd+ddTOAfj55nqoSXKhK+aGDi3w -TvicKcFXRdfcAK+HrqQw8JJoG30A6ElyoSrmhhIt8E74tCR8VVTNDfh6qEoK -gy+JttEHgJYkF8pibqjQ4gonzlsSvirK5gZ0PZQlhUGXRNvo9yF6SYwLUeh0 -Al8VbR6A66Ft84FLonDz+wq9JcaFJHQ6ga+KNg/A9dC2+cAlUbj5fQeMcXGE -TifwVdHmAbge2jYfuCQKNx9BEATpffwL7QuglQ== +1:eJztnQtQVGUUx+kx1dQ4ozmNzjRWJipKZmalqyIqhMjQKFChRYWMipJhA4ho +5SMMMlSsNEdWjAwtMAnT1NIePiIFDQQVDZB8ICiIyy6w773tQgO5y717H989 ++y2c34yOeN295/6+79znuv+BUYtC593t4eER/4D1t9DZSybHxc1eGtbb+sMr +sfELomPnzpkWmzA3em7c2Kh7rH85xPqr6i4PD9ufGQRBEKTnYmy+rbe4uggE +QZAej+GyMtB70CDPoRMS/9K4uhgEQZAej+avVfN3lqlMJN7LjCfbMoBWHUEn +jriXE/eqFhpdtTJmumJg34GBK3+/JWLfbLySFRZ1TMUwzcWxE98saPr/MsPN +o59MG7/ivJZpPbtk4oyDDfYjYVaX5Shzf/45e8Xs1Sea/r/Uov3np2079u7P +Snj24YefGDJ06Aj/lIta4eURA7ZUSVZh4CwD2kk77GMEh4Q5LwJuJ7Q1EWi1 +sAMhD8abh5OeGzanSPBNDEvDgbCgb66bGN3F1WP9d9WZ7ZarjkYEbLykrdsb +9WGh2m7TzY2/vP3Sxiq99dhwYfWk1wrUne+qOhYfsrFSbxvJTL/gAy7a83QC +XKoUq4CwleESJxxjBIy4OS8GTifUNRF4tXADwYauMj381XUV4g8u5hvfTw3o +YrI7oflUTEDqRR1jqvl60tjUv3X2y7XlKcHLTxRtzyp12H2Yb+QF+aRVWMUw +LSVx/svKWjsWNf4SOn75edvG6CvW+b/1JxFnEhRBlyrBqmAkaGErwyVOOMZI +DDJoIV8kpxPamgi+WriBYMPcVJyXV6wSule1HqUM+rYXGaozwlPOCdVtPe4p +XtzfYNFXbZk8/I2Taof1a8+tmhzxwY7KLrZaXRA+WJFdY7KO15nkiE22A+V/ +mOt2TVGssTnTVW6etZLQg0jRisBLlWJVMBK0sJThGifsYyQK8lrIF8nphLom +gq8WbCDEsKQramtr2xa2lCYohvst/DTrq235FS0sp14sr2UY0/VvJnv5Tol4 +d1Va+vTR09fuqW61ewt10dvzs68YunhTbfmKEY+OCV7x1Q/5O7J+q7vjnxiv +f7cgJClr3w/Z2w5dczgvAodcqV2OBUmrd2K6sTf6nULZrubZynCFE64xAkbc +nL8DEk4oayKi1fLyQ2IgGNFNZKg/ljk/wCdkzdoMx+OC9tLOhRMf7/NY4Lrz +tmUWzZkN7ymrhJ0Um24XKuMjXpsTm7Dso63FTZ1HOUvDwZf9NlWLagHj5Qyf +sWuBjlKcihjb3f+Sr9ekb/kya330071s//XHxv2D4kpbZShVf/XH9DRl9qbo +IQ/e1y9gYfL26juHQ4pVO0zXtr8Y/OtttsXStJBEshOSYySbFmFFAs4TXkjT +Qr5aZ344EDQQTpqIHdWREM8xG/I3n7ffpeuu7Np6vF7fdPL9kZ6zCtSMsSY7 +eFJKuaC9srY8dYLX67trHIXaTCsSxd2VMVR/rngm8aw8d3S6gFWRdTOaS1KC +QjIv2Q7RlsZDgYOn7qszGI1Gk8lCvlSLunDxC74Zlw2M7sLKYf3G5dTaXw9K +sWqP0xklQQs5CDghPJ3k0SKkSNh5whMJWkhX69wPB8JmS5dNZLy+K2qqrx1B +C/9Qdc6C5lPzvEYtz//sdKPDzDAb2qo1Xt02cdynVQ0nEqctOynsKVFLcczA +Xo9OCQ23MnNOanmLkBfLDQ857XAoMl7b7jv0lSOq9p/UBaGDJ3wn+MknX8z1 ++wIHjGw7TmuKorx9tl4xyrCWTi0Krz59R46nWwuME8atZguYE8attHQA4Id3 +E7HQenaJt3dM3sYjN9k/dqw5Gekbn5s8S/jnqVRHA/o/+U4JVXtjwXApavrj +pcdHrq9qv6DRV3wyRiHjrRXj1czn+4+2TiJz/cEFL6cWa+T90JKTs2U6tAA7 +cQ4FWqhzwlChpQNIP+JuYugr00Z5ReRuzj51/PBZxwfU7bSULPIe7vdxKdtD +PXZ0f6eOeGRUeoXrnxmIh1ORpjDiSa/FbVc05luHFwUtPS7qOTM/zJpz3y6L +Sfg8Z0/+r1XCB0Mo3DOKEi3ATpxCgxbanDB0aOkA0o+43bL2woc+T4VGhsVm +lmlYVbScSZqRdk7UnR2LpvSLqEnjps9LXL4yOX1vrSufcYuEW5G2UhnpNzP5 +y5ydyg3KY/XyXS0y5oaDkcMG9H3o3rus3Nv72Xi5v4OEe0ZRoQXciVNcr4U+ +JwwNWjqA9SP6kZ8zjLW5kSE5NUS+9gIRi6H2wMfJuy+3X3ZYjI1FG5JOyDDY +bgU6cQSdcNNN/Jjr94V7PvfZJTc8ze1GmOp2T/X0z7/ZfqJh1lQc3nOoxp3v +DBEAnTiCTrjpLn4st36aNiIst1be6wrECZbmsrQZw/oPeCZgZnTSmoy807dw +QNCJI+iEG/SDIAiCIAiCIAiCIAiCIAiCIDzAJJcuQS1oAA2gAUDgsnjAY4ak +ABrbRGV4Fkb8YGtgF7gI2Cwe0JghKUDGNtEZntUDI37swNbALpCCbEkuDOl0 +FdCYITm1EIxtgk6k4kkPjPixoxu3Bk+wC6QgV5KLDbLpKpAxQ7JqIRjbBB2e +xQ+M+OnOrcEP7AIXQS6LR1qMi3sF3DA8Y5t4OSEansUn4AY+kAgy4ocPJAzQ +2xpQc4CjZuHrcqMIOT7InORCNuYGDnoCbpw5IZtIxffbruADiaAifkjV476t +QeMcgO0CGpAzyYVszA0oVATcOHdCOO2IV0vCBxIBRvwQqseNW4O6OQDeBRRA +S5ILdBySOwTcuCAOiUfADWQgEdgaeU8MoHrgV0ftHICfb66HmiQXumJu6NAC +74TPmRJ8VXTNDfB66EoKAy+JttEHgJ4kF6pibijRAu+ET0vCV0XV3ICvh6qk +MPiSaBt9AGhJcqEs5oYKLa5w4rwl4auibG5A10NZUhh0SbSNfg+im8S4EIVO +J/BV0eYBuB7aNh+4JAo3v6fQXWJcSEKnE/iqaPMAXA9tmw9cEoWb33PAGBdH +6HQCXxVtHoDroW3zgUuicPMRBEGQ7se/yoqgxQ== "], {{0, 38}, {477, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -764,7 +764,7 @@ TifwVdHmAbge2jYfuCQKNx9BEATpffwL7QuglQ== ImageRegion->{{0, 1}, {0, 1}}, CellTags->{"DiracReduce", "RasterizedOutput"}, CellLabel->"Out[2]=", - CellID->239042759] + CellID->1562927769] }, Open ]], Cell["Do some checks of the results", "Notes"], @@ -1136,7 +1136,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracReduce", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1148,7 +1148,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 37.131261}", + "built" -> "{2020, 6, 20, 19, 4, 3.438722}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1168,8 +1168,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1181,54 +1180,54 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[8043, 262, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1928237849]}, + CellID->1914652803]}, "DiracReduce"->{ - Cell[8676, 291, 174, 6, 27, "Input", + Cell[8677, 291, 174, 6, 27, "Input", CellTags->"DiracReduce", CellID->176343206], - Cell[8853, 299, 565, 23, 37, "Output", + Cell[8854, 299, 565, 23, 37, "Output", CellTags->"DiracReduce"], - Cell[9455, 327, 134, 4, 27, "Input", + Cell[9456, 327, 134, 4, 27, "Input", CellTags->"DiracReduce", CellID->1863378816], - Cell[9592, 333, 711, 29, 37, "Output", + Cell[9593, 333, 711, 29, 37, "Output", CellTags->"DiracReduce"], - Cell[12113, 447, 420, 14, 27, "Input", + Cell[12114, 447, 420, 14, 27, "Input", CellTags->"DiracReduce", CellID->1405125223], - Cell[12536, 463, 1119, 46, 38, "Output", + Cell[12537, 463, 1119, 46, 38, "Output", CellTags->"DiracReduce"], - Cell[13692, 514, 134, 4, 27, "Input", + Cell[13693, 514, 134, 4, 27, "Input", CellTags->"DiracReduce", CellID->1093135858], - Cell[13829, 520, 6168, 109, 102, "Output", + Cell[13830, 520, 6168, 109, 102, "Output", CellTags->{"DiracReduce", "RasterizedOutput"}, - CellID->1093575305], - Cell[20176, 641, 191, 6, 27, "Input", + CellID->2116840375], + Cell[20177, 641, 191, 6, 27, "Input", CellTags->"DiracReduce", CellID->1144474685], - Cell[20370, 649, 940, 39, 37, "Output", + Cell[20371, 649, 940, 39, 37, "Output", CellTags->"DiracReduce"], - Cell[21347, 693, 133, 4, 27, "Input", + Cell[21348, 693, 133, 4, 27, "Input", CellTags->"DiracReduce", CellID->654035869], - Cell[21483, 699, 3633, 67, 59, "Output", + Cell[21484, 699, 3634, 67, 59, "Output", CellTags->{"DiracReduce", "RasterizedOutput"}, - CellID->239042759]}, + CellID->1562927769]}, "RasterizedOutput"->{ - Cell[13829, 520, 6168, 109, 102, "Output", + Cell[13830, 520, 6168, 109, 102, "Output", CellTags->{"DiracReduce", "RasterizedOutput"}, - CellID->1093575305], - Cell[21483, 699, 3633, 67, 59, "Output", + CellID->2116840375], + Cell[21484, 699, 3634, 67, 59, "Output", CellTags->{"DiracReduce", "RasterizedOutput"}, - CellID->239042759]} + CellID->1562927769]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 35920, 1180}, - {"DiracReduce", 36059, 1184}, - {"RasterizedOutput", 37150, 1217} + {"PrimaryExamplesSection", 35866, 1179}, + {"DiracReduce", 36005, 1183}, + {"RasterizedOutput", 37097, 1216} } *) (*NotebookFileOutline @@ -1242,18 +1241,18 @@ Cell[4109, 115, 682, 20, 102, "Usage", Cell[CellGroupData[{ Cell[4816, 139, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1602023328], -Cell[5558, 165, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5592, 167, 255, 8, 70, "Notes", + CellID->1998421596], +Cell[5558, 165, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5592, 167, 255, 8, 32, "Notes", CellID->1067943069], -Cell[5850, 177, 149, 5, 70, "SeeAlso"], -Cell[6002, 184, 179, 6, 70, "SeeAlso"], -Cell[6184, 192, 182, 6, 70, "SeeAlso"], -Cell[6369, 200, 212, 7, 70, "SeeAlso"], -Cell[6584, 209, 251, 8, 70, "SeeAlso"], -Cell[6838, 219, 241, 9, 70, "Notes"], +Cell[5850, 177, 149, 5, 57, "SeeAlso"], +Cell[6002, 184, 179, 6, 57, "SeeAlso"], +Cell[6184, 192, 182, 6, 57, "SeeAlso"], +Cell[6369, 200, 212, 7, 57, "SeeAlso"], +Cell[6584, 209, 251, 8, 57, "SeeAlso"], +Cell[6838, 219, 241, 9, 32, "Notes"], Cell[CellGroupData[{ -Cell[7104, 232, 95, 2, 70, "Input"], +Cell[7104, 232, 95, 2, 27, "Input"], Cell[7202, 236, 780, 19, 75, "Output"] }, Open ]] }, Closed]] @@ -1261,98 +1260,98 @@ Cell[7202, 236, 780, 19, 75, "Output"] Cell[CellGroupData[{ Cell[8043, 262, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1928237849], + CellID->1914652803], Cell[CellGroupData[{ -Cell[8456, 281, 195, 6, 26, "ExampleSection", - CellID->139398663], +Cell[8456, 281, 196, 6, 26, "ExampleSection", + CellID->1329164364], Cell[CellGroupData[{ -Cell[8676, 291, 174, 6, 27, "Input", +Cell[8677, 291, 174, 6, 27, "Input", CellTags->"DiracReduce", CellID->176343206], -Cell[8853, 299, 565, 23, 37, "Output", +Cell[8854, 299, 565, 23, 37, "Output", CellTags->"DiracReduce"] }, Open ]], Cell[CellGroupData[{ -Cell[9455, 327, 134, 4, 27, "Input", +Cell[9456, 327, 134, 4, 27, "Input", CellTags->"DiracReduce", CellID->1863378816], -Cell[9592, 333, 711, 29, 37, "Output", +Cell[9593, 333, 711, 29, 37, "Output", CellTags->"DiracReduce"] }, Open ]], Cell[CellGroupData[{ -Cell[10340, 367, 105, 2, 9, "ExampleDelimiter"], -Cell[10448, 371, 325, 10, 32, "Notes"], +Cell[10341, 367, 105, 2, 9, "ExampleDelimiter"], +Cell[10449, 371, 325, 10, 32, "Notes"], Cell[CellGroupData[{ -Cell[10798, 385, 110, 3, 27, "Input"], -Cell[10911, 390, 487, 20, 37, "Output"] +Cell[10799, 385, 110, 3, 27, "Input"], +Cell[10912, 390, 487, 20, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11435, 415, 87, 2, 27, "Input"], -Cell[11525, 419, 409, 16, 37, "Output"] +Cell[11436, 415, 87, 2, 27, "Input"], +Cell[11526, 419, 409, 16, 37, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[11983, 441, 105, 2, 9, "ExampleDelimiter"], +Cell[11984, 441, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[12113, 447, 420, 14, 27, "Input", +Cell[12114, 447, 420, 14, 27, "Input", CellTags->"DiracReduce", CellID->1405125223], -Cell[12536, 463, 1119, 46, 38, "Output", +Cell[12537, 463, 1119, 46, 38, "Output", CellTags->"DiracReduce"] }, Open ]], Cell[CellGroupData[{ -Cell[13692, 514, 134, 4, 27, "Input", +Cell[13693, 514, 134, 4, 27, "Input", CellTags->"DiracReduce", CellID->1093135858], -Cell[13829, 520, 6168, 109, 102, "Output", +Cell[13830, 520, 6168, 109, 102, "Output", CellTags->{"DiracReduce", "RasterizedOutput"}, - CellID->1093575305] + CellID->2116840375] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[20046, 635, 105, 2, 9, "ExampleDelimiter"], +Cell[20047, 635, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[20176, 641, 191, 6, 27, "Input", +Cell[20177, 641, 191, 6, 27, "Input", CellTags->"DiracReduce", CellID->1144474685], -Cell[20370, 649, 940, 39, 37, "Output", +Cell[20371, 649, 940, 39, 37, "Output", CellTags->"DiracReduce"] }, Open ]], Cell[CellGroupData[{ -Cell[21347, 693, 133, 4, 27, "Input", +Cell[21348, 693, 133, 4, 27, "Input", CellTags->"DiracReduce", CellID->654035869], -Cell[21483, 699, 3633, 67, 59, "Output", +Cell[21484, 699, 3634, 67, 59, "Output", CellTags->{"DiracReduce", "RasterizedOutput"}, - CellID->239042759] + CellID->1562927769] }, Open ]], -Cell[25131, 769, 46, 0, 32, "Notes"], +Cell[25133, 769, 46, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[25202, 773, 309, 9, 27, "Input"], -Cell[25514, 784, 186, 6, 35, "Output"] +Cell[25204, 773, 309, 9, 27, "Input"], +Cell[25516, 784, 186, 6, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[25737, 795, 394, 11, 45, "Input"], -Cell[26134, 808, 186, 6, 35, "Output"] +Cell[25739, 795, 394, 11, 45, "Input"], +Cell[26136, 808, 186, 6, 35, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[26369, 820, 105, 2, 9, "ExampleDelimiter"], -Cell[26477, 824, 206, 7, 32, "Notes"], +Cell[26371, 820, 105, 2, 9, "ExampleDelimiter"], +Cell[26479, 824, 206, 7, 32, "Notes"], Cell[CellGroupData[{ -Cell[26708, 835, 276, 8, 27, "Input"], -Cell[26987, 845, 6061, 242, 102, "Output"] +Cell[26710, 835, 276, 8, 27, "Input"], +Cell[26989, 845, 6061, 242, 102, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[33087, 1092, 31, 0, 29, "SectionFooterSpacer"] +Cell[33089, 1092, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[33155, 1097, 270, 12, 31, "SeeAlsoSection", +Cell[33157, 1097, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[33428, 1111, 529, 19, 56, "SeeAlso"] +Cell[33430, 1111, 529, 19, 56, "SeeAlso"] }, Open ]], -Cell[33972, 1133, 23, 0, 41, "FooterCell"] +Cell[33974, 1133, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigma.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigma.nb index a5d341bd9..732f12cee 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigma.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigma.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15027, 528] -NotebookOptionsPosition[ 10468, 386] -NotebookOutlinePosition[ 13466, 470] -CellTagsIndexPosition[ 13352, 464] +NotebookDataLength[ 14970, 527] +NotebookOptionsPosition[ 10469, 386] +NotebookOutlinePosition[ 13408, 469] +CellTagsIndexPosition[ 13294, 463] WindowTitle->DiracSigma WindowFrame->Normal*) @@ -79,7 +79,7 @@ DiracSigma.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$69044], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$69149], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracSigma", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1819183924], + CellID->915358340], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->26103714], + CellID->1561066388], Cell[CellGroupData[{ @@ -399,7 +399,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 40.854766}", + "built" -> "{2020, 6, 20, 19, 4, 6.898186}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -419,8 +419,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -430,41 +429,41 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4427, 127, 388, 15, 31, "PrimaryExamplesSection", + Cell[4427, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1819183924]}, + CellID->915358340]}, "DiracSigma"->{ - Cell[5059, 156, 228, 7, 27, "Input", + Cell[5060, 156, 228, 7, 27, "Input", CellTags->"DiracSigma", CellID->1797257280], - Cell[5290, 165, 326, 12, 37, "Output", + Cell[5291, 165, 326, 12, 37, "Output", CellTags->"DiracSigma"], - Cell[5653, 182, 139, 4, 27, "Input", + Cell[5654, 182, 139, 4, 27, "Input", CellTags->"DiracSigma", CellID->350892177], - Cell[5795, 188, 982, 36, 56, "Output", + Cell[5796, 188, 982, 36, 56, "Output", CellTags->"DiracSigma"], - Cell[6814, 229, 227, 7, 27, "Input", + Cell[6815, 229, 227, 7, 27, "Input", CellTags->"DiracSigma", CellID->334267816], - Cell[7044, 238, 350, 13, 37, "Output", + Cell[7045, 238, 350, 13, 37, "Output", CellTags->"DiracSigma"], - Cell[7431, 256, 214, 7, 27, "Input", + Cell[7432, 256, 214, 7, 27, "Input", CellTags->"DiracSigma", CellID->938175920], - Cell[7648, 265, 313, 12, 35, "Output", + Cell[7649, 265, 313, 12, 35, "Output", CellTags->"DiracSigma"], - Cell[7998, 282, 139, 4, 27, "Input", + Cell[7999, 282, 139, 4, 27, "Input", CellTags->"DiracSigma", CellID->493035408], - Cell[8140, 288, 1256, 44, 56, "Output", + Cell[8141, 288, 1256, 44, 56, "Output", CellTags->"DiracSigma"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12398, 431}, - {"DiracSigma", 12536, 435} + {"PrimaryExamplesSection", 12341, 430}, + {"DiracSigma", 12478, 434} } *) (*NotebookFileOutline @@ -475,61 +474,61 @@ Cell[3615, 97, 287, 11, 45, "ObjectNameGrid"], Cell[3905, 110, 497, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4427, 127, 388, 15, 31, "PrimaryExamplesSection", +Cell[4427, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1819183924], + CellID->915358340], Cell[CellGroupData[{ -Cell[4840, 146, 194, 6, 26, "ExampleSection", - CellID->26103714], +Cell[4839, 146, 196, 6, 26, "ExampleSection", + CellID->1561066388], Cell[CellGroupData[{ -Cell[5059, 156, 228, 7, 27, "Input", +Cell[5060, 156, 228, 7, 27, "Input", CellTags->"DiracSigma", CellID->1797257280], -Cell[5290, 165, 326, 12, 37, "Output", +Cell[5291, 165, 326, 12, 37, "Output", CellTags->"DiracSigma"] }, Open ]], Cell[CellGroupData[{ -Cell[5653, 182, 139, 4, 27, "Input", +Cell[5654, 182, 139, 4, 27, "Input", CellTags->"DiracSigma", CellID->350892177], -Cell[5795, 188, 982, 36, 56, "Output", +Cell[5796, 188, 982, 36, 56, "Output", CellTags->"DiracSigma"] }, Open ]], Cell[CellGroupData[{ -Cell[6814, 229, 227, 7, 27, "Input", +Cell[6815, 229, 227, 7, 27, "Input", CellTags->"DiracSigma", CellID->334267816], -Cell[7044, 238, 350, 13, 37, "Output", +Cell[7045, 238, 350, 13, 37, "Output", CellTags->"DiracSigma"] }, Open ]], Cell[CellGroupData[{ -Cell[7431, 256, 214, 7, 27, "Input", +Cell[7432, 256, 214, 7, 27, "Input", CellTags->"DiracSigma", CellID->938175920], -Cell[7648, 265, 313, 12, 35, "Output", +Cell[7649, 265, 313, 12, 35, "Output", CellTags->"DiracSigma"] }, Open ]], Cell[CellGroupData[{ -Cell[7998, 282, 139, 4, 27, "Input", +Cell[7999, 282, 139, 4, 27, "Input", CellTags->"DiracSigma", CellID->493035408], -Cell[8140, 288, 1256, 44, 56, "Output", +Cell[8141, 288, 1256, 44, 56, "Output", CellTags->"DiracSigma"] }, Open ]], -Cell[9411, 335, 53, 0, 32, "Notes"], +Cell[9412, 335, 53, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[9489, 339, 183, 5, 27, "Input"], -Cell[9675, 346, 166, 5, 35, "Output"] +Cell[9490, 339, 183, 5, 27, "Input"], +Cell[9676, 346, 166, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[9868, 355, 31, 0, 29, "SectionFooterSpacer"] +Cell[9869, 355, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9936, 360, 270, 12, 31, "SeeAlsoSection", +Cell[9937, 360, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10209, 374, 217, 7, 56, "SeeAlso"] +Cell[10210, 374, 217, 7, 56, "SeeAlso"] }, Open ]], -Cell[10441, 384, 23, 0, 41, "FooterCell"] +Cell[10442, 384, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigmaExpand.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigmaExpand.nb index ef5f7a3e5..94bf6fdbe 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigmaExpand.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigmaExpand.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21318, 803] -NotebookOptionsPosition[ 16682, 651] -NotebookOutlinePosition[ 18791, 708] -CellTagsIndexPosition[ 18706, 703] +NotebookDataLength[ 21265, 802] +NotebookOptionsPosition[ 16683, 651] +NotebookOutlinePosition[ 18737, 707] +CellTagsIndexPosition[ 18652, 702] WindowTitle->DiracSigmaExpand WindowFrame->Normal*) @@ -80,7 +80,7 @@ DiracSigmaExpand.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$68146], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$68251], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracSigmaExpand", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2085868756], + CellID->160639148], Cell["", "SectionHeaderSpacer"], @@ -201,7 +201,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->930746011], + CellID->2127423353], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[TextData[{ Cell["(3)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->645082019], + CellID->1330486613], Cell[CellGroupData[{ @@ -652,7 +652,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracSigmaExpand", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -664,7 +664,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 38.376189}", + "built" -> "{2020, 6, 20, 19, 4, 4.719048}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -684,8 +684,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -695,14 +694,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6023, 188, 387, 15, 31, "PrimaryExamplesSection", + Cell[6022, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->930746011]} + CellID->2127423353]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 18563, 696} + {"PrimaryExamplesSection", 18508, 695} } *) (*NotebookFileOutline @@ -714,97 +713,97 @@ Cell[CellGroupData[{ Cell[4037, 113, 531, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4593, 133, 739, 24, 31, "NotesSection", +Cell[4593, 133, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2085868756], -Cell[5335, 159, 31, 0, 70, "SectionHeaderSpacer"], + CellID->160639148], +Cell[5334, 159, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5391, 163, 119, 3, 70, "Input", +Cell[5390, 163, 119, 3, 27, "Input", CellID->374282664], -Cell[5513, 168, 449, 13, 56, "Output", +Cell[5512, 168, 449, 13, 56, "Output", CellID->1173846990] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6023, 188, 387, 15, 31, "PrimaryExamplesSection", +Cell[6022, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->930746011], + CellID->2127423353], Cell[CellGroupData[{ -Cell[6435, 207, 195, 6, 26, "ExampleSection", - CellID->645082019], +Cell[6435, 207, 196, 6, 26, "ExampleSection", + CellID->1330486613], Cell[CellGroupData[{ -Cell[6655, 217, 248, 8, 27, "Input", +Cell[6656, 217, 248, 8, 27, "Input", CellID->525630839], -Cell[6906, 227, 773, 30, 37, "Output", +Cell[6907, 227, 773, 30, 37, "Output", CellID->401856684] }, Open ]], Cell[CellGroupData[{ -Cell[7716, 262, 109, 3, 27, "Input", +Cell[7717, 262, 109, 3, 27, "Input", CellID->2122869292], -Cell[7828, 267, 626, 27, 35, "Output", +Cell[7829, 267, 626, 27, 35, "Output", CellID->1368035139] }, Open ]], Cell[CellGroupData[{ -Cell[8491, 299, 131, 4, 27, "Input", +Cell[8492, 299, 131, 4, 27, "Input", CellID->1621111317], -Cell[8625, 305, 446, 14, 51, "Output", +Cell[8626, 305, 446, 14, 51, "Output", CellID->2128932345] }, Open ]], Cell[CellGroupData[{ -Cell[9108, 324, 125, 3, 9, "ExampleDelimiter", +Cell[9109, 324, 125, 3, 9, "ExampleDelimiter", CellID->904766219], -Cell[9236, 329, 343, 10, 49, "Notes", +Cell[9237, 329, 343, 10, 49, "Notes", CellID->1591912985], Cell[CellGroupData[{ -Cell[9604, 343, 217, 7, 27, "Input", +Cell[9605, 343, 217, 7, 27, "Input", CellID->1872384147], -Cell[9824, 352, 335, 13, 35, "Output", +Cell[9825, 352, 335, 13, 35, "Output", CellID->2031816583] }, Open ]], Cell[CellGroupData[{ -Cell[10196, 370, 113, 3, 27, "Input", +Cell[10197, 370, 113, 3, 27, "Input", CellID->1982135918], -Cell[10312, 375, 496, 21, 35, "Output", +Cell[10313, 375, 496, 21, 35, "Output", CellID->1642061710] }, Open ]], -Cell[10823, 399, 248, 8, 32, "Notes", +Cell[10824, 399, 248, 8, 32, "Notes", CellID->1529300486], Cell[CellGroupData[{ -Cell[11096, 411, 339, 10, 45, "Input", +Cell[11097, 411, 339, 10, 45, "Input", CellID->863128085], -Cell[11438, 423, 625, 27, 35, "Output", +Cell[11439, 423, 625, 27, 35, "Output", CellID->640891865] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[12112, 456, 126, 3, 9, "ExampleDelimiter", +Cell[12113, 456, 126, 3, 9, "ExampleDelimiter", CellID->2124164560], -Cell[12241, 461, 369, 13, 32, "Notes", +Cell[12242, 461, 369, 13, 32, "Notes", CellID->1389942884], Cell[CellGroupData[{ -Cell[12635, 478, 461, 15, 45, "Input", +Cell[12636, 478, 461, 15, 45, "Input", CellID->2037164471], -Cell[13099, 495, 1430, 55, 37, "Output", +Cell[13100, 495, 1430, 55, 37, "Output", CellID->992813878] }, Open ]], Cell[CellGroupData[{ -Cell[14566, 555, 198, 6, 27, "Input", +Cell[14567, 555, 198, 6, 27, "Input", CellID->1102856647], -Cell[14767, 563, 1114, 45, 39, "Output", +Cell[14768, 563, 1114, 45, 39, "Output", CellID->1534302668] }, Open ]] }, Open ]] }, Open ]], -Cell[15920, 613, 31, 0, 29, "SectionFooterSpacer"] +Cell[15921, 613, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[15988, 618, 270, 12, 31, "SeeAlsoSection", +Cell[15989, 618, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[16261, 632, 379, 14, 56, "SeeAlso", +Cell[16262, 632, 379, 14, 56, "SeeAlso", CellID->1822030255] }, Open ]], -Cell[16655, 649, 23, 0, 41, "FooterCell"] +Cell[16656, 649, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigmaExplicit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigmaExplicit.nb index fdad22a36..7fb132c1c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigmaExplicit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSigmaExplicit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16131, 566] -NotebookOptionsPosition[ 11937, 439] -NotebookOutlinePosition[ 14525, 509] -CellTagsIndexPosition[ 14403, 503] +NotebookDataLength[ 16076, 565] +NotebookOptionsPosition[ 11938, 439] +NotebookOutlinePosition[ 14469, 508] +CellTagsIndexPosition[ 14347, 502] WindowTitle->DiracSigmaExplicit WindowFrame->Normal*) @@ -80,7 +80,7 @@ DiracSigmaExplicit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$68604], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$68709], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracSigmaExplicit", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1574253360], + CellID->1336835901], Cell["", "SectionHeaderSpacer"], @@ -199,7 +199,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->648926233], + CellID->2134562691], Cell[CellGroupData[{ @@ -209,7 +209,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1114432583], + CellID->2075195717], Cell[CellGroupData[{ @@ -440,7 +440,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracSigmaExplicit", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -452,7 +452,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 39.563366}", + "built" -> "{2020, 6, 20, 19, 4, 5.802075}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -473,8 +473,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -484,26 +483,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5940, 186, 387, 15, 31, "PrimaryExamplesSection", + Cell[5940, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->648926233]}, + CellID->2134562691]}, "DiracSigmaExplicit"->{ - Cell[6573, 215, 235, 7, 27, "Input", + Cell[6574, 215, 235, 7, 27, "Input", CellTags->"DiracSigmaExplicit", CellID->535100858], - Cell[6811, 224, 334, 12, 37, "Output", + Cell[6812, 224, 334, 12, 37, "Output", CellTags->"DiracSigmaExplicit"], - Cell[7182, 241, 147, 4, 27, "Input", + Cell[7183, 241, 147, 4, 27, "Input", CellTags->"DiracSigmaExplicit", CellID->280405798], - Cell[7332, 247, 990, 36, 56, "Output", + Cell[7333, 247, 990, 36, 56, "Output", CellTags->"DiracSigmaExplicit"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13886, 485}, - {"DiracSigmaExplicit", 14031, 489} + {"PrimaryExamplesSection", 13829, 484}, + {"DiracSigmaExplicit", 13975, 488} } *) (*NotebookFileOutline @@ -517,7 +516,7 @@ Cell[4049, 113, 460, 13, 85, "Usage", Cell[CellGroupData[{ Cell[4534, 130, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1574253360], + CellID->1336835901], Cell[5276, 156, 31, 0, 70, "SectionHeaderSpacer"], Cell[5310, 158, 122, 3, 70, "Notes"], Cell[CellGroupData[{ @@ -527,47 +526,47 @@ Cell[5561, 169, 318, 10, 37, "Output"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5940, 186, 387, 15, 31, "PrimaryExamplesSection", +Cell[5940, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->648926233], + CellID->2134562691], Cell[CellGroupData[{ -Cell[6352, 205, 196, 6, 26, "ExampleSection", - CellID->1114432583], +Cell[6353, 205, 196, 6, 26, "ExampleSection", + CellID->2075195717], Cell[CellGroupData[{ -Cell[6573, 215, 235, 7, 27, "Input", +Cell[6574, 215, 235, 7, 27, "Input", CellTags->"DiracSigmaExplicit", CellID->535100858], -Cell[6811, 224, 334, 12, 37, "Output", +Cell[6812, 224, 334, 12, 37, "Output", CellTags->"DiracSigmaExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[7182, 241, 147, 4, 27, "Input", +Cell[7183, 241, 147, 4, 27, "Input", CellTags->"DiracSigmaExplicit", CellID->280405798], -Cell[7332, 247, 990, 36, 56, "Output", +Cell[7333, 247, 990, 36, 56, "Output", CellTags->"DiracSigmaExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[8359, 288, 105, 2, 9, "ExampleDelimiter"], +Cell[8360, 288, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[8489, 294, 275, 8, 27, "Input"], -Cell[8767, 304, 708, 28, 37, "Output"] +Cell[8490, 294, 275, 8, 27, "Input"], +Cell[8768, 304, 708, 28, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9512, 337, 94, 2, 27, "Input"], -Cell[9609, 341, 1527, 55, 56, "Output"] +Cell[9513, 337, 94, 2, 27, "Input"], +Cell[9610, 341, 1527, 55, 56, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[11175, 401, 31, 0, 29, "SectionFooterSpacer"] +Cell[11176, 401, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11243, 406, 270, 12, 31, "SeeAlsoSection", +Cell[11244, 406, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11516, 420, 379, 14, 56, "SeeAlso", +Cell[11517, 420, 379, 14, 56, "SeeAlso", CellID->1822030255] }, Open ]], -Cell[11910, 437, 23, 0, 70, "FooterCell"] +Cell[11911, 437, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSimplify.nb index 7cba1b08a..2b6dd1aac 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 172610, 6280] -NotebookOptionsPosition[ 157236, 5783] -NotebookOutlinePosition[ 160902, 5887] -CellTagsIndexPosition[ 160744, 5880] +NotebookDataLength[ 196537, 7200] +NotebookOptionsPosition[ 180681, 6687] +NotebookOutlinePosition[ 184343, 6791] +CellTagsIndexPosition[ 184185, 6784] WindowTitle->DiracSimplify WindowFrame->Normal*) @@ -106,7 +106,7 @@ DiracSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$69628], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$69742], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracSimplify", ".html"]], None}]}]}, @@ -178,7 +178,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->41535398], + CellID->1889240277], Cell["", "SectionHeaderSpacer"], @@ -294,21 +294,21 @@ Cell[TextData[{ Spacer[6]]]], "Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", - Cell["(13)", "ExampleCount"] + Cell["(14)", "ExampleCount"] }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1468871954], + CellID->951365112], Cell[CellGroupData[{ Cell[TextData[{ "Basic Examples", "\[NonBreakingSpace]\[NonBreakingSpace]", - Cell["(13)", "ExampleCount"] + Cell["(14)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->454068069], + CellID->1939811072], Cell["\<\ Simplify a 4-dimensional Dirac matrix chain with a dummy Lorentz index\ @@ -1313,115 +1313,115 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQuQVNWdh3U32eyqVUowRishER1FYJVsZI2Eh6AGIaISQ1BTUgGCIQJC -KUQJifggwSBqJFm2LAZIIMjiA8XFBI1U1qXQ5ZEEEQQUeY/D2xlmmFfPdPfO -3O6e6Z6Z7nNO33PunHP7+6q0dGrm12fu/f3Pvd0zPV/XsVNu/9E/nHHGGVP/ -ufFft495aNADD4z56XfPa/yf702eeu/4yfeMGzp52j3j73ng2rH/2PjB+Y3/ -9Gr8/Kb/jgMAABQokWPrnhza95EdNfHq7Q8NGP7GiZjNsSQHlmwI+kYyhIhY -vdYKlK+7e/B/7K05snrs45sqvORY1f4tB6t9Pkjr2Gj5xqd/NKxv965f+/78 -D6r8hLdOjlVsLZ553+ib//3q7y8+UKdzzQkih5beNXD2rlr9yR71p8vqfByO -9pJrS95aXLxizTvbS2rs2y3oW9bkBPQN7CdWV7q++P4hvYevL2/+UPXuP0y+ -/vIvnNOpa7+JSz7KZ6Jrds4eNnPD5qW/f9+btNrSjYu+U/SNhQfr/S02MzZe -s2/Z4r+disbr9hUPuPTmv5TpS45W7HqnpKZxhvf+pv+3Vh6J6ktuIlb14X89 -9cu+33jc3+bQNjlyoHhIz0svLerW78G/V+pMrt33u3E/XLrX13LTidUcXDvv -xvM/e06PUQ898vD0yWOGXz9kzOzV+/Pdd+hbtuQm6Bu4QKz2WEnp5vuLLhq8 -LnUxqt7xzJT5G47WRU7+df6tF57b68nd6ndqNR88Nujuh5//uDr1gbo9z/Tp -539zyIyNNVQ3eOWt2jK577hNvsah9YI9IiWrH37q3TI/e0Pb5GjZxsXP7/jk -7Vv7+t0cWidX/v2xHy/fVt7gJ7S95OjRVbdc3v+ReXPuHznwe09tqdRxpxo9 -tur6zucP+VPyRZmGY6vHffWcr/zgzRN5HWz6lj2ZvoE71H74ix5far4YRY78 -z9rDyctP1XuTLvnSLetPKUdWbJ7442UHIy0f0LM5tIlNULXtyXsW7PE1aO0k -R469u2jK4Eu6DH1uv5/XTVolR0rXLHy9pC5evs735tB6zbX7iifc1qdr565D -Hn37pK8dolVyxYaRVwxa03jZiH361u3dBr2c+8694ejq8fdtqsj9CLGTfx52 -QeeBaVG1Hz3R86zOg9d+qmHB9I2+gZNkXozSqdw8pnuf5w60mcZ4zd7lkwZ8 -tdNXhjy9o+luJla59dmfFe+pyf4YcpuDcqz3SduXL1x3QjAM+SR76947r9+A -3x3KsW615Nrdz4y45dbbbrvt5v4Xde4+ZNzCHBtPfmuuP7Z2eu/u4zbnum9X -TK74vxHdBv35ZLzpZaR5114zJ/dT5YaSpd8aJnoNq3zdyIs69Vla0nLaIvt+ -2+vsTomH8btg+paCvoFTZLsYxcrWTbhh6vryNs+Saw++tHD98bpTG3/eq+iu -dyvi9Z8sGzZw9s5ctZXZHPKIjdUceHPl/x5tvFpGTx/YXZFth8gjOUn0yKsj -J64/lfWFgryTT60f0X9WrjtVH2s++upNg1/KfjupnNxQunxw72lbqxp3lR0z -B4x6uyzn6yYym0PFhh98+byr029zYifWfPv8c656ek87Gw99859c2H0DG6gv -fWnsTde14tuT3km/wrR/MYqWvfvE/Yt2tfvrC9GI17z6Q4sHfHPenhMbHhw6 -Y2NFzsZI3amqxkZKlo/qdkm3no30+Nf+P99enfUzlZMPLbnjhpEznlvx0vMr -/lqW6y5Y/VAkEG4O6smxSJ33FZF9C+6Y/UGOXUR9zTUfL544+uHnlhX/4rFX -S9o+UfbSmpvW54pOnXv1ba9pKU5vmXDxuVc+9XHLhaehdMWN53/+usXtPyeg -b3knpyjovoEztHMxilXvXj5n0VZRyys3jr5u6ouz7mrzq56tiJx87/kRF18+ -4bWdp2ReW5aNVSfMyVXvT+vT44ZJ836/ZPGq3VK/d2xmzeI71ertDxade8Wj -LVtjw/E/jb34ggFP78y+vXvQN4uS3ekbuEPth7MyL0Z1h/771ws2lXu3M9Hy -7avWlGZ50bbqvSk9e9zwq/fzf8tFQ9nml1/d0uoXcvzHkhxYctuHEm0ONTtn -XnFu0bRtiStPtHL7HyZe233Y7PU5nxF40DeS2z4UF6OwEDm+dc2cAZ8/+7Kp -L27YUxX17lLv7fYvZ56R5Myzrpr7cbYfIFZtnT587geC29mclK8f1a3bqHWZ -z639x5IcWHIbcm4OdUc2vPLE0As++7kvj/jJY48/PvPBST8cfd+Tr2yTegZD -30huCxcjiMfrD784+jsvfOL/bQaBxJIcWLIh6BvJAO0QPf76HUW9f7O3/R8v -2hZLcmDJhqBvJAO0R+zkm0Ov/O6Lh32+rTCgWJIDSzYEfSMZAAAAAAAAAAAA -AAAAAAAAAMBmXJQRhz7Zco+zJUeJ5GCWARAYCJRFyXoEykpmbXO+bC0Ep/NO -QGfy6Iy+QQZQoP7wy3f+290b8zFUIVDOmaxNoKxk1jbny25BX2fM6byboDN5 -dUbjIANIU1+6cly/L3S5M7+NBYFy9mSNAmUls7Y5X3YKnZ0xqfOmM3l2JomO -QQaQJFLy8s+e/ePcrxflt7EgUM6RrCZQVlpzzo3FnC87gf7OaFoencm1ZtXO -yA8y7m/wT+TgCzMW7Dq17z+vzrKxIFD2kawmUI7XHfrjr+cWL5s//vKz/umL -gyfNWrrPt1m7BTlftgxGOmNC501nWn+yYme8rxEOcpw/nQ3+qdu/bMai3TXx -yP4sGwsCZV/JKgLlWMWmn1xz3YIDkXjtrke7f/GbLxzOfUustLFI+rJlMNEZ -0zpvOpMgn4uRaJATi+ZiBL6o3bNkxhLv56RZNxYEyj7XLCFQTkYff31Il16e -irty89ie/YVbhsLGIuXLljHUG+qMMZ13CjqTQKUzMoOM+xv0UPvR3IG9ruzl -0aPLWZ8777KrBk1573T7n9zxmmNzyVYIlOsPLup94dWNG0X0+Bv3jnhC9INr -RbO2LuhMEjqTAc+MQBf1Bxdec1nOH0ZbLiN2MTmTaOX2FT+dMO23L7y26i97 -Ov6tQGLoTAckZ2JPZ7gYgS4kNha7ZcQuJqcTPfHG6O5dOp/9mTMb+cx5X5/q -650rgUBnOiA5HZs6w8UIgsJFGbFDyZHDa341a+WBxM80YvWfbn52+gbnB9uh -4+9icig7AyDARRmxQ8kNR1beVHTjqmOJX4SKVu5e+9pbn2h4M1CH4tDxdzE5 -lJ0BEOGijNil5NjpbXOHd7+wy9cG3zl++pwFr/ztpPtyZpeOv4vJYewMAAAA -AAAAAAAAAAAAAAAAAIDTWCJNJjmYZWjBkqNEcjDLAAiM4BTSpoXmHuFUSCfQ -Yd/WQng6Y0pobk1nPHwOBYACLiikjQrNw62QbkKTfbuFgu+MMaG5LZ3RNRQA -0riikPYwIjQPvUJam307BZ0xJTS3pjPahgJAElcU0k2YEZqHXiGt0b6dDCz4 -zpgTmlvSGbWhQDsO/nFGId2CbqF5itAqpFXs2zLQGZNCczs6k0JmKOL81W7w -j4sKaXNC89ArpMXCUwnoTDr6heaWdUY4FIlFczECX7ilkDYoNA+7QjpFzp0z -jNpxg51JYkBobklnZIYC7TjoAYV0EhTS0tAZm5JNdkZtKHhmBLpAId0ByZnY -o5CWhM50QHIm9nSGixHoAoV0BySnY5NCWhI60wHJ6djUGS5GEBQO6ZhdTA6l -Qtqh4+9icig7AyDAIR2zi8mhVEg7dPxdTA5lZwBEuKRjdjE5jAppl46/i8lh -7AwAAAAAAAAAAAAAAAAAAAAAgNNYIk0mOZhlaMHQ8iw5+I4mW94ZABlQSIuT -PbQLzRUV0npM1lpQ+l78xDbh2mk15RwXDaa5cQNQAIW0KYW0IaG5qkJam8m6 -BW2dEXwv+cZ6OHZa48ac4+LBNDduANKgkDalkDYnNFdSSGs0WafQ2Zn8PDsS -se6dVnPOceFgmhs3AElQSJtTSJsTmisppNVM1hIKad2d0XMxCsFpNekcT5B1 -MM2NG4AUKKRNKqSTSLqbjSmk1UzWwr/ArL8zct+Li6fVIud4XHYwWz2GcNwA -NIBCOh39CumWNYvdzQYV0ioma+HFyERnZL4XF0+rVc5xycFsjWjcADSAQjoT -AwppaaG5Ye24hMlaTiFtojOS34uLp9Ue57j8YCY/X2bc5FT1ACJQSBtPVnA3 -26Mdz/XMyEhnFL8Xp06rYrICioUBcAMU0h2QnIlzCukgOuPiaS28wgBoBIV0 -BySn46BCOojOuHhaC68wAAHikI7ZxeRQKqQNHX+HTqu55FAWBkCMQzpmF5ND -qZA2dPwdOq3mkkNZGAAJXNIxu5gcRoW0oePv0mk1lxzGwgAAAAAAAAAAAAAA -AAAAAAAAuA4KaQuTLVdI0xkLky3vDIAMASmkTTvHPUKrkE6gQ8CthZB0xpTQ -3KbOePicCwAFrFdIG3WOh14h3YQmAXcLhd0ZY0Jzizqjay4ApHFCIe1hxDle -CAppbQLuFAXeGVNCc5s6o20uACRxQiHtLdSIc7wQFNJqAu6waMe9hTrmqben -MxrnAkAKNxTSaemaneMpwqyQVhFwx0OjHU9Ld8dTb01nUsjMBYAGnFNIm3OO -F4JCWuw89dYdMu24S556+zojnAsADTikkDboHC8AhXSKnJtn6LTjTnrq7emM -zFygHQc9oJBuAoV0a9COO5FsuDPqcwGgAxTSQSdnYpVCGu24pcmZWNUZAF2g -kA46OR3LFNJoxy1NTseyzgAEBQppc8lhVUjTGXPJYe0MgAAU0uaSw6qQpjPm -ksPaGQARKKQNJodUIU1nDCaHtDMAAAAAAAAAAAAAAAAAAAAAAE6DQtrCZMsV -0nTGwmTLOwMgAwppQbKHZqF5PgppPTJrLQTUGdFR8rPgZpxR1YsmyHJVPRQK -KKSNKKRNCc3VFdLaZNYtWN8Z4VHKOznuoKpeOEFBqOoBBKCQNqKQNic0V1VI -a5RZp3CgM8KjlHeyi6r6JNknyLyqHkAACmlDCmlzQvMUsgppNZl1mLTjTWQ9 -SvknO6qqzzlB5uYCQAoU0sYU0klkxc0GFdJqMutQacfljlKhqOq9rxFOUBOK -qnoAv6CQbka/QrplzWJxs1mFtIrMOkzaccmjVCCq+tSaBRPUCjlVPYA/UEin -YUAhLS00N68dl5BZh087Ln2UCkJVLz1BmUiq6tGOgx9QSJtNVhA3ox13qjOo -6gFMgUI66ORMrFJIox23NDkTqzoDoAsU0kEnp2OZQhrtuKXJ6VjWGYCgQCFt -LjmsCmk6Yy45rJ0BEIBC2lxyWBXSdMZcclg7AyAChbTB5JAqpOmMweSQdgYA -AAAAAAAAAAAAAAAAAAAAwGlQSFuYbLlCms5YmGx5ZwBkCIlC2pR23CaFtIdP -TbYW6Iwg2UOz0DyfzlikqodCobAV0sa04xYppHVpslugM06p6tU7Y0BVDyCg -wBXSprTjNimktWmyU9AZx1T1SaQ7Y0BVDyCgwBXS5rTj9iik1TTZaMdFya6q -6lU6o11VDyCg0BXSBrXj1iikU0gK0NGOh1ZV732NXGc0q+oBBKCQbka/dtw+ -hbSMAB3teFhV9alkuc5oVdUDCEAhnYYB7bg9CmkZTTbacRs6Y05Vr6wd16aq -BxCBQtqaZMMKaTVNNtpxJ4TmVmnHeWYEukAhHXRyJlYppNGOW5qciYudARCC -Qjro5HQsU0ijHbc0OR03OwPgGxTS5pLDqpCmM+aSw9oZAAEopM0lh1UhTWfM -JYe1MwAiUEgbTA6pQprOGEwOaWcAAAAAAAAAAAAAAAAAAAAAAJwGhbSFyZYr -pOmMhcl0Jqxn1lyyhZ1xXiEt0jHnn9yEGe14guzaa7TjLncmiWbteAK1zlik -HaczWZMTZD+zfpM92m2jkc4UsEJaqGPOO9mcdryJnNprtONxVztjSjvehFpn -DGjH6YyZzuQ+s36Sc7fRQGcKXCHtkV3HnHeySe24QHuNdjzuZmdMasfVOmNA -O05nDHVGcGZ9JAvaqL0zBa6QbiKnjjnvZHPacaH22pzMOrkAOmOmM+a046qd -0a4dpzOGOiM8s3knC9uoeccrdIV02rqFOmZbtOMq2ut0ZGXWIuhM87p1dyaJ -fu24cmc0a8fpTPO6NXdG9cyqq+ql9w3FHa/1wlBINyPSMVuoHRebRlshpR0X -QGda0N6ZlmRT2nHZzmjVjtOZFox1RubM5quql9s31DqTCQrpuIqO2R7teArp -i5GadjwNtOPtJpvrjDHteAr5Gxht2nE6Eze7zySQOLOqnZFvYxLpHa81KKSt -SbZKO54LOmM2OYzacTpjTbJiZ/TtG2qLRCEdbHImVimkJaEzQSdnYlVnUNVb -mpyJVZ3JBgrpoJPTsUwhLQmdCTo5Hcs6g6re0uR0LOtMvqCQNpccVoU0nTGX -TGdsiHUrOSSdQSFtLjmsCmk6Yy6ZztgQ61ZyWDqDQtpgckgV0nTGYDKdsSDW -seSQdgYAAECB/wdb3wVc +1:eJztnQuQVNWdh3U32eyqVUowRishER1FYJVsNEbCQ1CDEFGJIagpqQDBEAGh +FKIsifggwSBqJFm2LAZIIMjiA8XFBI1U1qVGl0cSRJ6KvMfhLcMM8+qZ7t6Z +290z3TPTfc7pe86dc25/X5WWTs38+sy9v/+5t3um5+s6ZvIdP/6HM844Y8o/ +N/7rjtEPD3zwwdH//r3zGv/n+5Om3Ddu0r1jh0yaeu+4ex+8bsw/Nn5wXuM/ +vRo/v+m/4wAAAAVK5Ojap4b0eXR7Tbx668P9h715PGZzLMmBJRuCvpEMISJW +r7UC5WvvGfQfe2oOrxrzxIYKLzlWtW/TgWqfD9I6Nlq+/pkfD+3TvevXfjBv +W5Wf8NbJsYrNxTPuH3XLN67+waL9dTrXnCBycMndA2btrNWf7FF/+mSdj8PR +XnJt6duLipevfndraY19uwV9y5qcgL6B/cTqykqKHxh8zbCS8uYPVe/6w6Qb +Lv/COZ269p2w+KN8Jrpmx6yhM9ZtXPL7D7xJqy1bv/C7Rd9ccKDe32IzY+M1 +e5cu+tupaLxub3H/S2/5y0l9ydGKne+W1jTO8J7f9Pv2isNRfclNxKo+/K+n +f9nnm0/42xzaJkf2Fw/ueemlRd36PvT3Sp3JtXt/N/ZHS/b4Wm46sZoDa+be +dP5nz+kx8uFHH5k2afSwGwaPnrVqX777Dn3LltwEfQMXiNUeLS3b+EDRRYPW +pi5G1dufnTxv3ZG6yIm/zrvtwnN7PbVL/U6tZtvjA+955IWPq1MfqNv9bO++ +/jeHzNhYQ3WDV96qTZP6jN3gaxxaL9gjUrrqkaffO+lnb2ibHD25ftEL2z95 +57Y+fjeH1smVf3/8J8u2lDf4CW0vOXpk5a2X93t07uwHRgz4/tObKnXcqUaP +rryh8/mD/5R8Uabh6KqxXz3nKz9863heB5u+ZU+mb+AOtR/+oseXmi9GkcP/ +s+ZQ8vJT9f7ES750a8kp5ciKjRN+svRApOUDejaHNrEJqrY8de/83b4GrZ3k +yNH3Fk4edEmXIc/v8/O6SavkSNnqBW+U1sXL1/reHFqvuXZv8fjbe3ft3HXw +Y++c8LVDtEquWDfiioGrGy8bsU/fvqPbwFdy37k3HFk17v4NFbkfIXbiz0Mv +6DwgLar2oyd7ntV50JpPNSyYvtE3cJLMi1E6lRtHd+/9/P420xiv2bNsYv+v +dvrK4Ge2N93NxCo3P/ez4t012R9DbnNQjvU+aeuyBWuPC4Yhn2Rv3Xvm9u3/ +u4M51q2WXLvr2eG33nb77bff0u+izt0Hj12QY+PJb831R9dMu6b72I257tsV +kyv+b3i3gX8+EW96GWnuddfOzv1UuaF0ybeHil7DKl874qJOvZeUtpy2yN7f +9jq7U+Jh/C6YvqWgb+AU2S5GsZNrx984paS8zbPk2gMvLyg5Vndq/c97Fd39 +XkW8/pOlQwfM2pGrtjKbQx6xsZr9b6343yONV8vo6f27KrLtEHkkJ4kefm3E +hJJTWV8oyDv5VMnwfjNz3an6WPOR124e9HL220nl5IayZYOumbq5qnFX2T6j +/8h3TuZ83URmc6hY98Mvn3d1+m1O7Pjq75x/zlXP7G5n46Fv/pMLu29gA/Vl +L4+5+fpWfGfiu+lXmPYvRtHy9558YOHOdn99IRrxmld/cFH/b83dfXzdQ0Om +r6/I2RipO1XV2EjpspHdLunWs5Ee/9rv51urs36mcvLBxXfeOGL688tffmH5 +X0/mugtWPxQJhJuDenIsUud9RWTv/Dtnbcuxi6ivuebjRRNGPfL80uJfPP5a +adsnyl5ac9N6X9Gpc68+7TUtxelN4y8+98qnP2658DSULb/p/M9fv6j95wT0 +Le/kFAXdN3CGdi5Gsepdy2Yv3CxqeeX6UddPeWnm3W1+1bMVkRPvvzD84svH +v77jlMxry7Kx6oQ5ueqDqb173Dhx7u8XL1q5S+r3js2sWXynWr31oaJzr3is +ZWtsOPanMRdf0P+ZHdm3dw/6ZlGyO30Dd6j9cGbmxaju4H//ev6Gcu92Jlq+ +deXqsiwv2la9P7lnjxt/9UH+b7loOLnxldc2tfqFHP+xJAeW3PahRJtDzY4Z +V5xbNHVL4soTrdz6hwnXdR86qyTnMwIP+kZy24fiYhQWIsc2r57d//NnXzbl +pXW7q6LeXep93f7lzDOSnHnWVXM+zvYDxKrN04bN2Sa4nc1JecnIbt1Grs18 +bu0/luTAktuQc3OoO7zu1SeHXPDZz315+E8ff+KJGQ9N/NGo+596dYvUMxj6 +RnJbuBhBPF5/6KVR333xE/9vMwgkluTAkg1B30gGaIfosTfuLLrmN3va//Gi +bbEkB5ZsCPpGMkB7xE68NeTK7710yOfbCgOKJTmwZEPQN5IBAAAAAAAAAAAA +AAAAAAAAAGzGRRlx6JMt9zhbcpRIDmYZAIGBQFmUrEegrGTWNufL1kJwOu8E +dCaPzugbZAAF6g+9cte/3bM+H0MVAuWcydoEykpmbXO+7Bb0dcaczrsJOpNX +ZzQOMoA09WUrxvb9Qpe78ttYEChnT9YoUFYya5vzZafQ2RmTOm86k2dnkugY +ZABJIqWv/Oy5P875elF+GwsC5RzJagJlpTXn3FjM+bIT6O+MpuXRmVxrVu2M +/CDj/gb/RA68OH3+zlN7//PqLBsLAmUfyWoC5XjdwT/+ek7x0nnjLj/rn744 +aOLMJXt9m7VbkPNly2CkMyZ03nSm9Scrdsb7GuEgx/nT2eCfun1Lpy/cVROP +7MuysSBQ9pWsIlCOVWz46bXXz98fidfufKz7F7/14qHct8RKG4ukL1sGE50x +rfOmMwnyuRiJBjmxaC5G4Iva3YunL/Z+Tpp1Y0Gg7HPNEgLlZPSxNwZ36eWp +uCs3junZT7hlKGwsUr5sGUO9oc4Y03mnoDMJVDojM8i4v0EPtR/NGdDryl4e +Pbqc9bnzLrtq4OT3T7f/yR2vOTaXbIVAuf7gwm9ceHXjRhE99uZ9w58U/eBa +0aytCzqThM5kwDMj0EX9gQXXXpbzh9GWy4hdTM4kWrlt+fTxU3/74usr/7K7 +498KJIbOdEByJvZ0hosR6EJiY7FbRuxicjrR42+O6t6l89mfObORz5z39Sm+ +3rkSCHSmA5LTsakzXIwgKFyUETuUHDm0+lczV+xP/EwjVv/pxuemrXN+sB06 +/i4mh7IzAAJclBE7lNxweMXNRTetPJr4Raho5a41r7/9iYY3A3UoDh1/F5ND +2RkAES7KiF1Kjp3eMmdY9wu7fG3QXeOmzZ7/6t9OuC9ndun4u5gcxs4AAAAA +AAAAAAAAAAAAAAAAADiNJdJkkoNZhhYsOUokB7MMgMAITiFtWmjuEU6FdAId +9m0thKczpoTm1nTGw+dQACjggkLaqNA83ArpJjTZt1so+M4YE5rb0hldQwEg +jSsKaQ8jQvPQK6S12bdT0BlTQnNrOqNtKAAkcUUh3YQZoXnoFdIa7dvJwILv +jDmhuSWdURsKtOPgH2cU0i3oFpqnCK1CWsW+LQOdMSk0t6MzKWSGIs5f7Qb/ +uKiQNic0D71CWiw8lYDOpKNfaG5ZZ4RDkVg0FyPwhVsKaYNC87ArpFPk3DnD +qB032JkkBoTmlnRGZijQjoMeUEgnQSEtDZ2xKdlkZ9SGgmdGoAsU0h2QnIk9 +CmlJ6EwHJGdiT2e4GIEuUEh3QHI6NimkJaEzHZCcjk2d4WIEQeGQjtnF5FAq +pB06/i4mh7IzAAIc0jG7mBxKhbRDx9/F5FB2BkCESzpmF5PDqJB26fi7mBzG +zgAAAAAAAAAAAAAAAAAAAAAAOI0l0mSSg1mGFgwtz5KD72iy5Z0BkAGFtDjZ +Q7vQXFEhrcdkrQWl78VPbBOunVZTznHRYJobNwAFUEibUkgbEpqrKqS1maxb +0NYZwfeSb6yHY6c1bsw5Lh5Mc+MGIA0KaVMKaXNCcyWFtEaTdQqdncnPsyMR +695pNeccFw6muXEDkASFtDmFtDmhuZJCWs1kLaGQ1t0ZPRejEJxWk87xBFkH +09y4AUiBQtqkQjqJpLvZmEJazWQt/AvM+jsj9724eFotco7HZQez1WMIxw1A +Ayik09GvkG5Zs9jdbFAhrWKyFl6MTHRG5ntx8bRa5RyXHMzWiMYNQAMopDMx +oJCWFpob1o5LmKzlFNImOiP5vbh4Wu1xjssPZvLzZcZNTlUPIAKFtPFkBXez +PdrxXM+MjHRG8Xtx6rQqJiugWBgAN0Ah3QHJmTinkA6iMy6e1sIrDIBGUEh3 +QHI6Diqkg+iMi6e18AoDECAO6ZhdTA6lQtrQ8XfotJpLDmVhAMQ4pGN2MTmU +CmlDx9+h02ouOZSFAZDAJR2zi8lhVEgbOv4unVZzyWEsDAAAAAAAAAAAAAAA +AAAAAACA66CQtjDZcoU0nbEw2fLOAMgQkELatHPcI7QK6QQ6BNxaCElnTAnN +beqMh8+5AFDAeoW0Ued46BXSTWgScLdQ2J0xJjS3qDO65gJAGicU0h5GnOOF +oJDWJuBOUeCdMSU0t6kz2uYCQBInFNLeQo04xwtBIa0m4A6LdtxbqGOeens6 +o3EuAKRwQyGdlq7ZOZ4izAppFQF3PDTa8bR0dzz11nQmhcxcAGjAOYW0Oed4 +ISikxc5Tb90h04675Km3rzPCuQDQgEMKaYPO8QJQSKfIuXmGTjvupKfens7I +zAXacdADCukmUEi3Bu24E8mGO6M+FwA6QCEddHImVimk0Y5bmpyJVZ0B0AUK +6aCT07FMIY123NLkdCzrDEBQoJA2lxxWhTSdMZcc1s4ACEAhbS45rAppOmMu +OaydARCBQtpgckgV0nTGYHJIOwMAAAAAAAAAAAAAAAAAAAAA4DQopC1Mtlwh +TWcsTLa8MwAyoJAWJHtoFprno5DWI7PWQkCdER0lPwtuxhlVvWiCLFfVQ6GA +QtqIQtqU0FxdIa1NZt2C9Z0RHqW8k+MOquqFExSEqh5AAAppIwppc0JzVYW0 +Rpl1Cgc6IzxKeSe7qKpPkn2CzKvqAQSgkDakkDYnNE8hq5BWk1mHSTveRNaj +lH+yo6r6nBNkbi4ApEAhbUwhnURW3GxQIa0msw6VdlzuKBWKqt77GuEENaGo +qgfwCwrpZvQrpFvWLBY3m1VIq8isw6QdlzxKBaKqT61ZMEGtkFPVA/gDhXQa +BhTS0kJz89pxCZl1+LTj0kepIFT10hOUiaSqHu04+AGFtNlkBXEz2nGnOoOq +HsAUKKSDTs7EKoU02nFLkzOxqjMAukAhHXRyOpYppNGOW5qcjmWdAQgKFNLm +ksOqkKYz5pLD2hkAASikzSWHVSFNZ8wlh7UzACJQSBtMDqlCms4YTA5pZwAA +AAAAAAAAAAAAAAAAAAAAnAaFtIXJliuk6YyFyZZ3BkCGkCikTWnHbVJIe/jU +ZGuBzgiSPTQLzfPpjEWqeigUClshbUw7bpFCWpcmuwU645SqXr0zBlT1AAIK +XCFtSjtuk0JamyY7BZ1xTFWfRLozBlT1AAIKXCFtTjtuj0JaTZONdlyU7Kqq +XqUz2lX1AAIKXSFtUDtujUI6haQAHe14aFX13tfIdUazqh5AAArpZvRrx+1T +SMsI0NGOh1VVn0qW64xWVT2AABTSaRjQjtujkJbRZKMdt6Ez5lT1ytpxbap6 +ABEopK1JNqyQVtNkox13QmhulXacZ0agCxTSQSdnYpVCGu24pcmZuNgZACEo +pINOTscyhTTacUuT03GzMwC+QSFtLjmsCmk6Yy45rJ0BEIBC2lxyWBXSdMZc +clg7AyAChbTB5JAqpOmMweSQdgYAAAAAAAAAAAAAAAAAAAAAwGlQSFuYbLlC +ms5YmExnwnpmzSVb2BnnFdIiHXP+yU2Y0Y4nyK69RjvucmeSaNaOJ1DrjEXa +cTqTNTlB9jPrN9mj3TYa6UwBK6SFOua8k81px5vIqb1GOx53tTOmtONNqHXG +gHaczpjpTO4z6yc5dxsNdKbAFdIe2XXMeSeb1I4LtNdox+NudsakdlytMwa0 +43TGUGcEZ9ZHsqCN2jtT4ArpJnLqmPNONqcdF2qvzcmskwugM2Y6Y047rtoZ +7dpxOmOoM8Izm3eysI2ad7xCV0inrVuoY7ZFO66ivU5HVmYtgs40r1t3Z5Lo +144rd0azdpzONK9bc2dUz6y6ql5631Dc8VovDIV0MyIds4XacbFptBVS2nEB +dKYF7Z1pSTalHZftjFbtOJ1pwVhnZM5svqp6uX1DrTOZoJCOq+iY7dGOp5C+ +GKlpx9NAO95usrnOGNOOp5C/gdGmHaczcbP7TAKJM6vaGfk2JpHe8VqDQtqa +ZKu047mgM2aTw6gdpzPWJCt2Rt++obRIFNIBJ2dilUJaEjoTdHImVnUGVb2l +yZlY1ZlsoJAOOjkdyxTSktCZoJPTsawzqOotTU7Hss7kCwppc8lhVUjTGXPJ +dMaGWLeSQ9IZFNLmksOqkKYz5pLpjA2xbiWHpTMopA0mh1QhTWcMJtMZC2Id +Sw5pZwAAABT4f/G4BZk= "], {{0, 149}, {559, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -1435,7 +1435,7 @@ seSQdgYAAECB/wdb3wVc ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[6]=", - CellID->1265238922] + CellID->445331031] }, Open ]], Cell[CellGroupData[{ @@ -3425,104 +3425,104 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnXlUE4e+x23vH/fd9zy3tdttn9oqRTa3tmqBYhCKxQWQqhQL1R7xoj5F -seq96rVVrojigmulz7K5FBC1buAtFdfSgAStQGVTBGTfSQiErDN5ScB3hcyS -zEyYSfL7nFMPHTPfzCTf30yYJB/HLlu3YMWLw4YN2/gfmj8WhGz23LAh5B8L -X9b8z2fhG1etDF8eOif8b8tXLt/gsuwP2oWa/2a9MGyY9mc1AAAAABiLrP56 -UnxaZk5xvRRle1sAYMhBLK32suoToX89XSVjezsAYAhR1p5cuOxXkVrdUxDu -/mVuF804RPzwbPy5rKzkiJCovC6KxwhFa/a+OW4RpVJ1b/Fm909/bqeYg7Rc -9rPjRRzZuz7Q47OYgm5LO2SZHagSnoIhAG3PXDj3TKNKLXsU5TLzfDNCKw3p -vBnmd6xSrjlFlkd5BOeKKSeJshd7H6uSNmcsi8wXU22COC/QwTNTc0hAO68v -sPf8kebeAZRB5Y38+PWzp37KF2HfQN5w64eLpT3GP9OUV2QbpKvgx9ScNiXR -Eor03F/tHf1IplY1/ODhEv2Y3utUpOXiXN7+Cs1MqyWFG2ZufdhLOUpattt3 -e9690yd/pzzSmqG+G2DvmdWh+UlRdcTlw726LcPGmkplwjrhgMpa6xvvrbd9 -yzsba6iVzVe++jK+0vjyUV6RG/SWHF78jxsdKqIlFNCcn10/+akdlVd+7+m0 -RCCmdyoT5y4a55rcoNmknqKdi2Of4M8QKdKSHZ6Lt6U8oX5Y0KBqTPWe+rci -iSaudLv7kjtCnNGzvlKZqE5EaKrmNBJrqJH2zMUuYQLjX9UZsOJmfJqamoy+ -R6ZBO28tdl6V89yvqfpL9CHZHVXjGU+HGR8v/mrH/kP+U/xjrlT30kiTlkVM -HOnsG3Eq/XLKydvNCqLdIXucxffC/ie5ljDCoE16khS2dNvx5PioHZfqcdKs -slTU6mRYtKTszK493yXGRS/1CowWiPpPFHhDrengDIegu4MfRbTn8a37nSpN -WsmhT53G2E/xjRp0UQRnxYHhwryTfw/wnLnlYGSYz/hXXp247EITk69H0N6q -n/cEe7iviD/9vxEhH410CD7Pz0javzFgwsgpfy/sIV+/87qPg++1DpRgyUCk -Valr3N8Z8fbsA6XaEx7aXXT46/hK6XOR7T8HeMVWk4+OQWnKmjieS4whp2fS -KANhJMd8S0WrUcbXycCNEvHXuq/O1R4bpBWHAvx3l/c/H3hD3S343PaDo1UD -S4h03NkW9UDz0CrrTvnN+7ZEgnQJtkcXS0hX1Nucjmuz/9v2qxttKjXSdtXv -9Zed05oYvbLSW7zZYZTvmRpN7TuyPP/yTmhGs1Ktqj85bbRHZltXUfz2tUt9 -pk0JTqrBngtp2bZJ4zf83ku05DlktecT+G3yLsE3k22DcsVqZUOyr8fuskEz -7brJsF98ydMU1d+6vrepmDyNPMowGMrhQKlQydOCWsLXSDgQNaodJY41sk6G -0p3/hQPvYov+4OANtfCO5+hpPzQMeN2vqIr1Cc0Ta0v1/cJvCrQPu+Y1V9IT -KdmKeoh+XTTWaVupbsWeByvHjpr/y+AtQMWko4ePvGLfpLd9s7RHwp4Hq8aN -W/WgR3d4nDfm/cNPOspz6qXavTnK++QC9lVaeeXB922DBd1ES54HUehilHVJ -7h8dqWzP2zRnq4D6VScG05iKYiaH5VKhskZB4nxb54Ra48/gBI06VF5DEmts -nQyki+8z2imy/NllBlT57F0svKEW5y6wmfLd0wHHRuGtudO05wdlzYmFmwq0 -O9WVf2h3gZh0xcF05y971/6rvuOUtOyfE+1C+aJBDUHE5KOHi+Jp7AejZ15p -RbQH2E0ONl9qS6N90m0mRj3qfwwU9RnbYnKF2MGy8shJjmsKJURLMHdMsHTG -xnM7g2i8N2SaNKai6OWwXSrdMLlOpzDUJI0iiaVaJxKUDSleb7zhvY/fokB6 -q67FnX12rVP2aCfmUMsrD0wZv3bgvXbfWzbOcVVK3t2Euf7Jd/Myjq1buOJc -g5J8xUFICsPtbELyu3XblRbMW/tzO94xmGj05M2CzFuPe/T/Tll3wnkUL61J -pXvwJoxZoLsW2y0IsXXcUqLbb0VrbuI6b5vRc44/xXwRIM4LsndLbVQRLFEJ -7/14qUA0cMMlhevGO3nt+V1ibOMZTGMqygQ57JeKePooN4pkqA2oEzUUjelb -vMe9Mvw1e6/wtKd9pytFW1HmXvdX/mvcxnN5lZKB+yJ7vMvF7XjNgIOjqv1m -pL/Ta3988cU/vvT21IXbLlRhfMYXa8UBSEu/dnrzwy827Dp8dP+OrUdvt+I9 -FsSjJ3scPfXPf7LbUiIdtNL9s+F2fx4VfLasszYn4YtRw98JvfSk/VHWAe/X -X37/YE7n/9+bvOrIdPcTdRj3Lnu0y8VrwHOkv0TEX2JvvyR74MlAUrTl0/0l -FH5TYjCNqShT5LBeKsLpo94o4qE2pE5DBCLM3jx/r/7VmJ6CDX6xRNcs8Fbs -R16xZ9KYBbfx3sjUuznu6GkviqZvTjPgzRic7Wy+FBjG139fARXnf71g54Pn -rr/qL8FE2XRu6fyzJL/5GQyDaUxF0c9hu1RkL78pNooolnKdTISsNuNw3KB3 -QaWl/5y55jeSi/hYK/ajqD72wduzfjL4M8Z4o6epWOvt8zcbjf7UhaLu1CKv -wK3H086npN0X6hVUVvvTsSNZTQqiJdgb2nZ1ke1Usku0hsJgGlNRDOWwWiri -oabYKKJYynUyJai8vUP+3EGmK3flZO+rbeQjOWjFvmXSul+T/jp2+Jv+3//a -KCPMIBk9k4FIW4QDN1t/CSZox7U5ExeeY+itUQbTmIpicpPYKlVHYUrAGLvV -V8q6mGwUQSzlOgEAAAAAAAAAAAAAAAAAAAAAAAAmBrSigLVjWWZR0IoC1glj -ZlFV243IoBmTxrw0wsZxwodB6S0UP1YBWlEAoAVjZlFE2twmQ3sfRiw6Rfv7 -AaAVtTqsSQLZh7mYRdWy8pjP4+h/TBy0oqZm6OWiRFifBLIPszCLKmsSZgVf -76TdcdCKDgEsyEWxsUoJZB9mYBbVfoXfy27Ov9rIDg2gFTXfRqlaMlauzaf+ -LzboB5qtBFJtBWZRA+FUDjTKWLmoqv70J763hExsfx8ckEDSgdgDqb2Fou50 -kMfucuxXdBw3ixoGx3IsuFGtQsGBFb5ujmPfC44twbY+UZGLMj7UrJtF+++S -aPTwITKLatuBSh6didnl5hyJk2wZZlFu5bDeKEREOnr4EDWqrCI56bcuRC2v -jnd/1wd7Co1olLLx/LJZM7S4Oox4dbKb7se5a3L0lYrGwr4Eknz0cCHxQCJC -QVJKacOdeW54yZZlFuVGDtuNklaTjx4uhI2SqnpVujuTFIS7heZjHvipNIrx -MzX7EkjS0aPogVQ0ZiZcrZerRdn4Q222ZlEO57DdKJR89Gi4anXBD/ctj8O5 -RE9FLsr4ULMtgSQfPYoeyKbygwF+8/z9/X14b73qODs0AcNaar5mUS7nsK4V -7d8L3NGj5apFu4tTE7LxvNeU5KLMDzW7EkhZBfno0TSLdvEDeDuxDhcWZhbl -Tg7bWlE12ehRbhQqrbl24ZcWzXpIT02FeHA8p+SiHDCL4o4eDQ8kYbKFmUU5 -lsNqo0hGj7qrtj51ib2N/XgNThN43ww++HBPLsqWBPIZBENtEizMLMq1HDWL -WlHi0TMZIBcFAAAAAAAAAAAAAAAAAAAAAADgPGAZBQBLAiyjgNUhfZoRn5p+ -4XBIyImqRn58VjPdT3cg4odn489lZSVHhETlEXo1CADLKABQpOfBdr/tv0s0 -5b842/Pw3p0322h+QhvpvBnmd6xSrv0yUZRHcC51FQ5YRi0FtLfih/CP7V4f -PmLs9LBTj3EkWiCEZEgIKcoOnLpC+6FnRc33H01efon+abrl4lzefp3LU1K4 -YeZWw0wrmIBl1HQMqV+0t/Tguti8Frmi437svDdfmrwP40kAIST+EiNBmn/0 -mLq1RKpGO65/9vGRiu4OOc0zmTh30TjXZO0XqXqKdi6OfUL5yy5gGTUxQ+YX -VTTfvtHU3wNJ4RqbkX78wf+IBAghjRRCqok8nMqmi6sDoi7fzbm4w8t5fWJm -sQHaYKLHR1oWMXGks2/EqfTLKSexv9FkaJTBllGyTQLLKDaU60SWKyk7s2vP -d4lx0Uu9AqMFoucb1X0vxNFV73vpIIRkVjFqFKRpypo4nkuMIadnsIwyAq1G -UfKLkm6RiL/WfXWu9sAgrTgU4L+7/N9PBirMXu21Ud8bZsFCyLauovjta5f6 -TJsSnFSDPReMK0aNgTxNUf2t63ubDPhGIVhG9W4keVpQS6hhx4FYWkscS8Uv -SkZ3/hcOvIstGFODCHOj1yeWY2wN60JIVEw6evgQCSGfdJTn1Eu1e3OU98kF -7Ku0lqEYZTDKIiyjqKxRkDjf1pnYLIQNQaMOldeQxBpbJ0Po4vuMdvq3/QtV -KnVPB9pbkbo3sQj7uWFbCImIyUcPFxLFaN9t6jO2xeQKsYMtSzHKYJR5W0Z1 -w+Q6ncJQkzSKJJZqnYhQNqR4vfGG9z5+iwLprboWd1Z7oVNel34oLr/vt2tE -VHw5c6DbhW0hZD9Eo0dDCKlozU1c520zes5xTCGa+SpGGYyyQMso2VBTbhTJ -UFPxi5KjaEzf4j3uleGv2XuFpz2VqVVtP62y/9MLw/p54T8n7R981YUDQkji -0aMlhNQirzoy3f1EHca9m69ilMEoi7SMEk4f9UYRDzUlv6hp4IAQUndz3NGj -qRhVI82XAsP4+u8rWJhilMEo87eMkr38ptgoolhO+UXVnFCM4o4edSFk3alF -XoFbj6edT0m7L9QrqIUpRhmMsgTLKPFQU5bW4sdyzy+qZlEISTx6JsPCFKMM -RlmCZbSjMCVgjN3qK2VdTDaKIBb8ogAAAAAAAAAAAAAAAAAAAAAAACwB1lAA -sCTAGgpYIwyKQ1VtNyKDZkwa89IIG8cJHwalt1D81ARYQwGAOkyKQxFpc5sM -7X0YsegU7Y//gzXU6rAmx2Mf5iIOVcvKYz6Po/8pcLCGmpohdYeSYn2Oxz7M -QhyqrEmYFXy9k3bHwRo6BAyZO5QMq3Q89kHN9Ei4O0aLQ8keHGXdCS+7Of9q -Izs2kOUYag0lyQFrKCGmcocaifk6HtVWIA41xxxoFNPuUKPhgOORDsSaR+0t -FHWngzx2l2O/ouO4ONQscyy4Ua1CwYEVvm6OY98Lji3BljqZwh1qNKyLQ/vv -kmj08CESh2rbgUoenYnZ5eYciZNsGeJQbuWw3ihERDp6+BA1qqwiOem3LkQt -r453f9fnlhBzfRO4Q42Gfccj+ejhQqJ5RISCpJTShjvz3PCSLUscyo0cthsl -rSYfPVwIGyVV9ap0dyYpCHcLzcccU1O4Q42Gfccj6ehR1DwqGjMTrtbL1aJs -/KE2W3Eoh3PYbhRKPno0VLS64If7lsfhXKI3jTvUWFh2PJKPHkXNY1P5wQC/ -ef7+/j68t151nB2agCElNV9xKJdzWLeG9u8F7ujRUtGi3cWpCdl4WmuuuENZ -dTzKKshHj6Y4tIsfwNuJdbiwMHEod3LYtoaqyUaPcqNQac21C7+0aNZDemoq -xIPjOeUO5YA4FHf0aGgeCZMtTBzKsRxWG0UyetRVtPWpS+xt7MdrcJrA+2bw -wYd77lC2HI/PIBhqk2Bh4lCu5ahZtIYSj57JAHcoAAAAAFgL/wfhvjvi - "], {{0, 85}, { - 327, 0}}, {0, 255}, +1:eJztnXlUE4e+x23vH/fd9zy3tdttn9oqRTa3tmqBIgjF4gJIVYqFao94UZ+i +WPVe9doqV0RxwbXSZ9lcCohaN/CWimtpQIJWoLIpArIvARICIetMXhLwXSGz +JDMTZpL8PufUQ8fMNzPJ9zcTJsnHscvWLVjx4rBhwzb+h+aPBaGbvTZsCP3H +wpc1//NZxMZVKyOWh82J+Nvylcs3uCz7g3ah5r9ZLwwbpv1ZDQAAAADGImu4 +npyQnpVb0iBF2d4WABhyEEurvazmRNhfT1fL2N4OABhClHUnFy77VaRW9xRG +eHyZ10UzDhE/PJtwLjs7JTI0Or+L4jFC0Zazb45bZJlU3Vuy2ePTn9sp5iCt +l/3t3COP7F0f5PlZbGG3pR2yzA5UCU/BEIC2Zy2ce6ZJpZY9inaZeb4FoZWG +dN4M9z9WJdecIiuiPUPyxJSTRDmLfY5VS1syl0UViKk2QZwf5OCVpTkkoJ3X +F9h7/Uhz7wDKoPImXsL62VM/5YmwbyBvvPXDpfIe459pyiuyDdJVeCEtV6Ak +WkKRnvurfWIeydSqxh88XWIe03udirRenOu+v1Iz02pJ0YaZWx/2Uo6Slu/2 +255/7/TJ3ymPtGao7wbae2V3aH5SVB9x+XCvbsuwsaZSmbBOOKCytoame+tt +3/LJwRpqZcuVr75MqDK+fJRX5Aa9pYcX/+NGh4poCQU052fXT35qR+VV33s5 +LeGL6Z3KxHmLxrmmNGo2qad45+K4J/gzRIq0dIfX4m2pT6gfFjSomtJ8pv6t +WKKJK9vuseSOEGf0rK9UJqoTEZqqOY3EGmqkPWuxSzjf+Fd1Bqy4GZ/m5maj +75Fp0M5bi51X5T73a6r+En1IdkfVdMbLYcbHi7/asf9QwJSA2Cs1vTTSpOWR +E0c6+0WeyricevJ2i4Jod8geZ/G98P9JqSOMMGiTniSHL912PCUheselBpw0 +qywVtToZFi0pP7Nrz3dJ8TFLvYNi+KL+EwXeUGs6OMMh+O7gRxHteXzrfqdK +k1Z66FOnMfZT/KIHXRTBWXFguDD/5N8DvWZuORgV7jv+lVcnLrvQzOTrEbS3 ++uc9IZ4eKxJO/29k6EcjHULO8zKT928MnDByyt+LesjX77zu6+B3rQMlWDIQ +aXXaGo93Rrw9+0CZ9oSHdhcf/jqhSvpcZPvPgd5xNeSjY1Casjbe3SXWkNMz +aZSBMJJjvqWi1Sjj62TgRol4az1W52mPDdLKQ4EBuyv6nw+8oe7mf277wdHq +gSVEOu5si36geWiV9af8531bKkG6+NtjSiSkK+ptTse12f9t+9UNgUqNCK76 +v/6yc3ozo1dWeks2O4zyO1OrqX1Httdf3gnLbFGqVQ0np432zBJ0FSdsX7vU +d9qUkORa7LmQlm+bNH7D771ES55DVnc+kSeQd/G/mWwbnCdWKxtT/Dx3lw+a +addNhv3iS56mqPnW9b1NJeRp5FGGwVAOB0qFSp4W1hG+RsKBqFHtKHGskXUy +lO6CLxzcL7bqDw7eUAvveI2e9kPjgNf9iuo437B8sbZU3y/8plD7sGtecyU/ +kZKtqIfo10VjnbaV6VbsebBy7Kj5vwzeAlRMOnr4yCv3TXrbL1t7JOx5sGrc +uFUPenSHx3lj3j/8pKMit0Gq3Zuj7p9cwL5KK686+L5tCL+baMnzIApdjLI+ +2eOjI1Xt+ZvmbOVTv+rEYBpTUczksFwqVNbET5pv65xYZ/wZnKBRhypqSWKN +rZOBdPF8RztFVTy7zIAqn72LhTfU4rwFNlO+ezrg2Ci8NXea9vygrD2xcFOh +dqe6Cg7tLhSTrjiY7oJl79p/1Xeckpb/c6JdGE80qCGImHz0cFE8jftg9Mwr +bYj2ALvJweZLbWm0T7rNxOhH/Y+BoiFzW2yeEDtYVhE1yXFNkYRoCeaO8ZfO +2HhuZzCN94ZMk8ZUFL0ctkulGybX6RSGmqRRJLFU60SCsjHV+403fPbxWhVI +b/W1+LPPrnXKHu3EHGp51YEp49cOvNfue8vGOa5Kzb+bODcg5W5+5rF1C1ec +a1SSrzgISVGEnU1oQbduu9JD3Nf+3I53DCYaPXkLP+vW4x79v1PWn3Ae5Z7e +rNI9eBPGLNBdi+3mh9o6binV7beiLS9pnY/N6DnHn2K+CBDnB9u7pTWpCJao +hPd+vFQoGrjhkqJ145289/wuMbbxDKYxFWWCHPZLRTx9lBtFMtQG1IkaiqaM +LT7jXhn+mr13RPrTvtOVQlCctdfjlf8at/FcfpVk4L7IHu9ycTteO+DgqGq/ +GRXg9NofX3zxjy+9PXXhtgvVGJ/xxVpxANKyr53e/PCLDbsOH92/Y+vR2214 +jwXx6Mkex0z985/stpRKB610/2yE3Z9HhZwt76zLTfxi1PB3wi49aX+UfcDn +9ZffP5jb+f/3Jq8+Mt3jRD3Gvcse7XLxHvAc6S8R8ZbY2y/JGXgykBRv+XR/ +KYXflBhMYyrKFDmsl4pw+qg3inioDanTEIEIczbP36t/NaancIN/HNE1C7wV ++5FX7pk0ZsFtvDcy9W6OO3rai6IZm9MNeDMGZztbLgWF8/TfV0DFBV8v2Png +ueuv+kswUTafWzr/LMlvfgbDYBpTUfRz2C4V2ctvio0iiqVcJxMhq8s8HD/o +XVBp2T9nrvmN5CI+1or9KGqOffD2rJ8M/owx3uhpKtZ2+/zNJqM/daGoP7XI +O2jr8fTzqen3hXoFldX9dOxIdrOCaAn2hgquLrKdSnaJ1lAYTGMqiqEcVktF +PNQUG0UUS7lOpgSVt3fInzvIdOWtnOxzVUA+koNW7Fsmrf81+a9jh78Z8P2v +TTLCDJLRMxmItFU4cLP1l2CCdlybM3HhOYbeGmUwjakoJjeJrVJ1FKUGjrFb +faW8i8lGEcRSrhMAAAAAAAAAAAAAAAAAAAAAAABgYkArClg7lmUWBa0oYJ0w +ZhZVCW5EBc+YNOalETaOEz4Mzmil+LEK0IoCAC0YM4si0haBDO19GLnoFO3v +B4BW1OqwJglkH+ZiFlXLKmI/j6f/MXHQipqaoZeLEmF9Esg+zMIsqqxNnBVy +vZN2x0ErOgSwIBfFxiolkH2YgVlU+xV+b7s5/xKQHRpAK2q+jVK1Zq5cW0D9 +X2zQDzRbCaTaCsyiBsKpHGiUsXJRVcPpT/xuCZnY/j44IIGkA7EHUnsLRf3p +YM/dFdiv6DhuFjUMjuVYcKPahPwDK/zcHMe+FxJXim19oiIXZXyoWTeL9t8l +0ejhQ2QW1bYDlTw6E7vLzTkKJ9kyzKLcymG9UYiIdPTwIWpUeWVK8m9diFpe +k+Dxri/2FBrRKGXT+WWzZmhxdRjx6mQ33Y9z1+TqKxWNhX0JJPno4ULigUSE +/OTUssY789zwki3LLMqNHLYbJa0hHz1cCBslVfWqdHcmKYxwCyvAPPBTaRTj +Z2r2JZCko0fRA6loykq82iBXi3Lwh9pszaIczmG7USj56NFw1eqCH+5bHo9z +iZ6KXJTxoWZbAkk+ehQ9kM0VBwP95wUEBPi6v/Wq4+ywRAxrqfmaRbmcw7pW +tH8vcEePlqsW7S5JS8zB815TkosyP9TsSiBlleSjR9Ms2sULdN+JdbiwMLMo +d3LY1oqqyUaPcqNQae21C7+0atZDemorxYPjOSUX5YBZFHf0aHggCZMtzCzK +sRxWG0UyetRdtQ1pS+xt7MdrcJrg/s3ggw/35KJsSSCfQTDUJsHCzKJcy1Gz +qBUlHj2TAXJRAAAAAAAAAAAAAAAAAAAAAAAAzgOWUQCwJMAyClgd0qeZCWkZ +Fw6Hhp6obuIlZLfQ/XQHIn54NuFcdnZKZGh0PqFXgwCwjAIARXoebPff/rtE +U/6Ls70O7915U0DzE9pI581w/2NVcu2XiaI9Q/Koq3DAMmopoL2VP0R8bPf6 +8BFjp4efeowj0QIhJENCSFFO0NQV2g89K2q//2jy8kv0T9OtF+e679e5PCVF +G2ZuNcy0gglYRk3HkPpFe8sOrovLb5UrOu7HzXvzpcn7MJ4EEELiLzESpOVH +z6lbS6VqtOP6Zx8fqezukNM8k4nzFo1zTdF+kaqneOfiuCeUv+wCllETM2R+ +UUXL7RvN/T2QFK2xGenPG/yPSIAQ0kghpJrIw6lsvrg6MPry3dyLO7yd1ydl +lRigDSZ6fKTlkRNHOvtFnsq4nHoS+xtNhkYZbBkl2ySwjGJDuU5kuZLyM7v2 +fJcUH7PUOyiGL3q+Ud33Qh1d9b6XDkJIZhWjRkGapqyNd3eJNeT0DJZRRqDV +KEp+UdItEvHWeqzO0x4YpJWHAgN2V/z7yUCFOau9N+p7wyxYCCnoKk7Yvnap +77QpIcm12HPBuGLUGMjTFDXfur63yYBvFIJlVO9GkqeFdYQadhyIpbXEsVT8 +omR0F3zh4H6xFWNqEFFezPqkCoytYV0IiYpJRw8fIiHkk46K3Aapdm+Oun9y +AfsqrWUoRhmMsgjLKCpr4ifNt3UmNgthQ9CoQxW1JLHG1skQuni+o53+bf9C +lUrd04H2VqbtTSrGfm7YFkIiYvLRw4VEMdp3m4bMbbF5Quxgy1KMMhhl3pZR +3TC5Tqcw1CSNIomlWicilI2p3m+84bOP16pAequvxZ/VXuiU12ccii/o++0a +EZVczhrodmFbCNkP0ejREEIq2vKS1vnYjJ5zHFOIZr6KUQajLNAySjbUlBtF +MtRU/KLkKJoytviMe2X4a/beEelPZWqV4KdV9n96YVg/L/znpP2Dr7pwQAhJ +PHq0hJBa5NVHpnucqMe4d/NVjDIYZZGWUcLpo94o4qGm5Bc1DRwQQupujjt6 +NBWjaqTlUlA4T/99BQtTjDIYZf6WUbKX3xQbRRTLKb+omhOKUdzRoy6ErD+1 +yDto6/H086np94V6BbUwxSiDUZZgGSUeasrSWvxY7vlF1SwKIYlHz2RYmGKU +wShLsIx2FKUGjrFbfaW8i8lGEcSCXxQAAAAAAAAAAAAAAAAAAAAAAIAlwBoK +AJYEWEMBa4RBcahKcCMqeMakMS+NsHGc8GFwRivFT02ANRQAqMOkOBSRtghk +aO/DyEWnaH/8H6yhVoc1OR77MBdxqFpWEft5PP1PgYM11NQMqTuUFOtzPPZh +FuJQZW3irJDrnbQ7DtbQIWDI3KFkWKXjsQ9qpkfC3TFaHEr24CjrT3jbzfmX +gOzYQJZjqDWUJAesoYSYyh1qJObreFRbgTjUHHOgUUy7Q42GA45HOhBrHrW3 +UNSfDvbcXYH9io7j4lCzzLHgRrUJ+QdW+Lk5jn0vJK4UW+pkCneo0bAuDu2/ +S6LRw4dIHKptByp5dCZ2l5tzFE6yZYhDuZXDeqMQEeno4UPUqPLKlOTfuhC1 +vCbB413fW0LM9U3gDjUa9h2P5KOHC4nmERHyk1PLGu/Mc8NLtixxKDdy2G6U +tIZ89HAhbJRU1avS3ZmkMMItrABzTE3hDjUa9h2PpKNHUfOoaMpKvNogV4ty +8IfabMWhHM5hu1Eo+ejRUNHqgh/uWx6Pc4neNO5QY2HZ8Ug+ehQ1j80VBwP9 +5wUEBPi6v/Wq4+ywRAwpqfmKQ7mcw7o1tH8vcEePlooW7S5JS8zB01pzxR3K +quNRVkk+ejTFoV28QPedWIcLCxOHcieHbWuommz0KDcKldZeu/BLq2Y9pKe2 +Ujw4nlPuUA6IQ3FHj4bmkTDZwsShHMthtVEko0ddRduQtsTexn68BqcJ7t8M +Pvhwzx3KluPxGQRDbRIsTBzKtRw1i9ZQ4tEzGeAOBQAAAABr4f8AxkQ8Ew== + + "], {{0, 85}, {327, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], Selectable->False], @@ -3535,7 +3535,7 @@ wYd77lC2HI/PIBhqk2Bh4lCu5ahZtIYSj57JAHcoAAAAAFgL/wfhvjvi ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[6]=", - CellID->772821713] + CellID->1463952] }, Open ]] }, Open ]], @@ -4759,79 +4759,79 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQtQVNcZgE2baTPpdMYmk4kzGWeajiYaa42PiaJRRJGoo1HRRJuQVhgV -Hwk2an2QihppqGKqaXxMVKwaNDUKRY3RarQTNWp8BCvEF+CDKBCfCMguLLun -u64PhHvvOXvP455z9v9mklFZYc93/nO5C4zfswkTY8f8pEmTJpMf8/8vNn5a -1KRJ8TOGNvX/5rWkyeMSk0aP6pc0ZXTi6EldEn7q/8NX/f9VPdKkSeDXCAAA -AACcxlt+NGP+4nUbVv5laGJWqcfppwPggS0TBqgGVMVXvndcv7+fdaOaoqV9 -YjMvU06v18fmaYUJtnQx3jLAnNBUw/ADwnBd2Lpi/ZasRfHx/zxXsn/FzrLG -s1lxcHRM6rb0sSMGjlySV2VnOD3Fq4cm7CtHqCo3qccfDtyq/7baK3vn9+s2 -66QLVedP6zF4x7WGH8Bbkbdhxec7d2bOik89dKv+W32uC/9ZtW7rl6undHji -iV8/9/zzbaM/OOOy8fxEQiDcShcZVlsGwuu/FWsDB/Z04HdTM+GAFFR9lzIw -5cRt5P0xu2/Uonlzd1+ta/SY6hPTYt7Lr/Y/+NjEbvH7bVxpfNe2D+3/WUkd -cp9J7RK9sczb4O3le+NiFp9zlW1NeP9wRYPT4b2xe8LAxUU1CLlPp/Z840DF -g/davm/ykMWFNYHTk9F7wPaQT6UTkAjH6cKD2zIQXh8rG1iwpwO7m5oJB8jx -lG4a0T7u2wrTB7gLFw5//cMCO5/Ny/e+3mnMsSr/3cvFT7q2G/1vg3tI5C5Y -0HfCkcrAr86mdYlcX9L4YoSj6uj4mLQzblR3+dOeXdL8L18b4Dr1wYCUQ0fW -rj7R6Gj5j2T/7ukF/vFGt49Pik7Oq77/phu7Y7ulnAwsu6bgw+g/HjQ3FBpO -C8fqwoLdMhBeHwsbWPCnA7ebDggHpMBTkjXq5aeaj7CYfO+t3Ozs3PLQ7+6Q -t2xTz07J37uQ7/qu13p9VFB5vabRe/H8sKpX9IZS/5/XFH4U2SO9wMal5kxq -RJ8vr/lqij6JeuGtbysafQzX93Oi4mauK6xu/HcrDgxvGZF52X9iqv43N25J -4B7m/pPf2CtiXuBMuAuX/X72d5UhPy9DHBeO14UDv2UgvD4WNnDgVWN3U7hw -QApqL216b9G29A4trCafAk9p9vhhqTkHv8me07vzuxnb8xuNnvfKlsFR06fP -nDnj3VFvTlpXZH7vNO1hSktL776hruSzqFaRveL+NCd94aCOgxZsPl/d4Pao -4siEsZnFtQbv1HVqVttnOg+YtWZLzrrV/y176CGekk3jhkxf/cWWzFW7LoX+ -GccQ54UT6LqLmXCCLRMkvO7HrYnvHLYUKYFwCxv3sK8au5uiJxyQgtriDcnL -T986v7Sj2eTXXt2XMTam+5B5C5Zb3XXU/LBtYfqKzCWJzz3+s6dj3p679jzp -y1vfzT1v9Vt5keDHLOpuHl4xOe6NUUlTkv+6MvfWgxPku7ZjWO8l562Ojime -i8u7d1lQ71aGLxIIJ9dlJpx8ywxgK7zu0to+A/bcNH+ADMIJsK8au5uCJxyQ -gpoLmckZBS5Ue8F88hEq/3pIi86LcpadNL3r8VUc/vNLkcsv1iL36dmtn+56 -5xUkIZ6S9YMi5xN8GcZ1Ku3lVm9mXW48xIHpjpiaZ+P1rv9gn/844sWp+bb+ -bujIIJxYl6lw4i0zgrFwzLVdCuF4KFRjd1PshANC8JRsTHglsgH93/6m/O4r -NnfRmuQ15wJjYzn5VUfHtGqfkvOPYzfMvgvkvfpF3+bt7twZVB5JaNN9ZTGH -n3W+nTv+2V8+0yt2uJ8Ro9JO3Wb/IeyDUx0EhDPjgfCIVr96sl03tYVLrToI -2YQDcuA+m96zXdt2d3ih+eM/b9ryd1ETj1c1fFh1/rQ2bcZnL/76iukPr3iK -Mzo16+ifd+/VHeOGpeVW8tjv8r0xzX7zznEJx54UEM4Bq/t2ZYSroRpQEU/x -ypdaGt/V1BSmt28V9/myzKP7vzL6JlEAb2X+v2aMn/Lxhs05e4puc/pE7j6b -1vap9gttfiVAMkA4K7Bfbw8it3A1VAMqYjH5rtPvd/9t7MihSRl5lSZzf23H -yNbNn/zFo4/4ebRph8mcfpDKV3liaULProPGTE2ZPXfh1lJb3zmVBBDOCvpr -uwzClVANhBm1pdv/NjfrYvCOw+e5cWTR9EPYkwbYB4QLBoQD4UhdWdYrLaJz -rgTvd7yVBV9t3nUZXlnyA4QLBoQD4YmvKi99cOtmzV+MGZE4fd7y7GPX4V8D -5AoIFwwIBwAAAAAAAAAAAAAAAAAAAAAAAJQGapLiAef1ARuCAeFhAdQkxQPO -6wM2BCNRqzecd5Og3WkRcySBqiZp2bJUMiWJE85kUfycB6CbB/Ew6JlaQ9lj -1S6WStXqtYZJa1g74UaQtDvNY45EUNckzVqWSqYkccLZLIqb8wCU8yAe+p6p -NZQ9Vv1iqTStXmuYtIblEe50StIi5kgCfU3SrGWpZbuTyaL4OUfU82AAT+GI -hQ1rKHusmtVpEV2r1xomrWFp6rTOpyTNY44kMKhJmrQstWx3MlkUP+cB6ObB -4NnyFI6Y2LCEtseqV50WUbZ6LWHTGpakTitBStIq5vgQhkFJBjVJ05allu3O -0BYl3HkI84CkEM7ExgOMhNP1WHXLAdO1euthU7XYOi3BhBsjQ0qSLObIsSbJ -EF3anUGccR5S3FMC4QxtmOaAadAuB0zV6r2HfdWC67SE/4R1Q6RISRLFHHnW -JFmiR7sziEPOQ4t7Oi+cnQ3zHDAN2uWAqVq9d6FQLbpOa+varkpKEslfk9Sr -3RlEaucgXDB65YClVh2EbMJNUCYliRSqSWrR7gyihnMQLhHKCFdJtc2vydxD -7pQkUqgmqUW7M4gazkG4nMgtXCXV/K7tMqQkkTo1ST3anUGUcA7C5URy4Qqp -pry2UwApScGAcMGAcMGAcCmAlKRgQLhgQLhgQLgkQEpSMCBcMCBcMCAcAAAA -AAAAAAAAAAAAAAAAAIAwBOKGggHhYQVst3jAeQCJ4oYoLPqGcglHYeH8AcIX -K912C8aJ6Qp35/fA1iSp+piUfUP9eqk44QwWxdN5ANV6qVSLtYZANc35UnTC -aYqleCid63hJMQFbk6TpY7LoG2rVS0UY4QwWxdN5AOV6qTSLtYZENcX5UnXC -KYqleFg4l+WS4nTckKaPyaRvqFMvFeGE0y+Kq3OkYC+VZrHWkKimOV+KTjhN -sRQLE+eiLynGOB83pOhjsukbatRLRTjh9Ivi6jyAar1UqsVaQqKa5nwpOuE0 -xVIsbJyLvaQYI0HckKqXyqJvyK6XSoDjwul7qVydh9ZLJYC7cKrF1sOearrz -pWIRmLJY+hC8nAu9pBgjQ9yQrpeKR2QvFYsMwolxxjnb3KSAQC2LAbOtmtX5 -IkWCQC2rYilH584jRdyQrpeKR2gvFYMUwklxyDnT3KSIQC2DAbOvmtH5Isf5 -QC2jYilP546jStwQyd831KsmGURq53oJl1p1EO0CtbI7J5twE5SJGyK1+oam -qCQc6eBcGeEqqdYlUKuScxrkjhsitfqGJEgvHGnmXG7hKqnWJVCrknMaJI8b -IqX6hiTILxzp5Vxy4Qqp1iZQq5Bzh4C4oWBAuGBAuGBAuBRA3FAwIFwwIFww -IFwSIG4oGBAuGBAuGBAOAAAAAAAAAAAAAAAAAAAAAADgCNA3FAN4Fg84Fw84 -b4RD6UzoG4ohNM9h1VHlBjgXDzgPYh03FJPvtN03DKBQvpPrWli0O7kPg2B4 -xzH5Ow+g0IQH4VqA5e2cMqErEZZxQ0H5Trt9wwCq5Tt5rYVJu5P3MDgBxzgm -f+cBVJtwvgVYIc7tJ3RDwtG4oZh8p+2+IVIw38lpLUw88x4GYxwSLslsc62L -GsNZONcCrBjnthO6oeBs3FBMvtN23zCAcvlOPmth45nzMBjilHBZZptnXdQQ -7sJ5FmAFObeb0A0Bx+OGIvKdFH1DBfOdLNbCyzPTYUCS5DsZxTEdcq7ghLMr -wDrmnCyhS4MMcUNinOkbKpfvtMDxjiTzdq0M+U4WOOlcuQln9IRVmvOQkSJu -SIpDfUPl8p0WON6RZN+ulSDfyQBHnSs34WyesFpzHiIKxQ2R5H1DjfKdUnu+ -j175TgWcazThQRRwbh+V4oZIh76hGsIV86xFvlMx56YoIxzp4xyH9HFDpFnf -UGLhinnWIt+pmHMS5BaOtHRuiPxxQ6RX31Bm4Wp51iPfqZZzEiQXjnR0zhqI -GwoGhAsGhAsGhEsBxA0FA8IFA8IFA8IlAeKGggHhggHhggHhAAAAQHjyf6mE -+As= +1:eJztnQtwjVcewHW3s7vTnZ2x7XRqpmNmu0NLrVV0SygRIsWwCC3bpruSQTza +2GLRdAWVbZbo0q3HFFE0dJVkgypL2SmKejRWvJN4S1LPSCL3Jjf3nr3X9biS +7/vOud95fOec+//NtINcyT2/8z9fvptk/J5JGhc/8keNGjWa8DP//+ITJ8eM +H5/47qDG/t+8mjJhdHLKiOG9UyaOSB4xvmPSj/1/+Hv/f1WPNGoU+DUCAAAA +AKfxlh/Mmj1/1Zqlfx2UnFPqcfrpAHhgy4QBqgFV8ZXvHN37H6fdqKZ4Yc/4 +7MuU0+v1sXlaEYItXYy3DDAnPNUw/IAwXOc2Llm9IWdeYuKnZ0p2L9la1nA2 +K/aOiEvflDlqaL9hCwqq7Ayn58LyQUm7yhGqyk/p+sc9t0LfVntl5+zenacd +d6Hqo5O7Dthyrf4H8FYUrFnyxdat2dMS0/fdCn2rz3XuP8tWbfxq+cR2jz/+ +q2efe6517AenXDaen0gIhFvpIsNqy0B46FuxNnBgTwd+NzUTDkhB1fdp/dKO +3EbeH3J7xcybNXP71boGj6k+MjnuvaPV/gcfGtc5cbeNK43v2uZBfT4vqUPu +U+kdY9eWeeu9vXxnQtz8M66yjUnv76+odzq8N7aP7Te/uAYh98n0bq/vqXjw +Xst3TRg4v6gmcHqyevTdHPapdAIS4ThdeHBbBsJDsbKBBXs6sLupmXCAHE/p +uqFtE76rMH2Au2jukNc+LLTz2bx852svjjxU5b97Of9JpzYj/m1wD4nchXN6 +jT1QGfjV6YyO0atLGl6McFQdHBOXccqN6i5/1q1jhv/laz1cJz7om7bvwMrl +RxocLf+R7NMls9A/3uj24fGxqQXV9990Y3t857TjgWXXFH4Y+6e95obCw2nh +WF1YsFsGwkOxsIEFfzpwu+mAcEAKPCU5w19+sulQi8n33srPzc0vD//uDnnL +1nV7MfWYC/mub3u1+0eFlddrGrwXz8Vl3WPXlPr/vKboo+iumYU2LjWn0qN6 +fnXNV1P8Sczzb35X0eBjuI7NiEmYuqqouuHfrdgzpHlU9mX/ian638yEBYF7 +mPtPfm33qFmBM+EuWvSH6d9Xhv28DHFcOF4XDvyWgfBQLGzgwKvG7qZw4YAU +1F5a9968TZntmllNPgWe0twxg9Pz9n6bO6NHh3eyNh9tMHreKxsGxEyZMnXq +u+8Mf2P8qmLze6fJD1NaWnr3DXUln8e0iO6e8OcZmXP7t+8/Z/3Z6nq3RxUH +xo7KvlBr8E5dJ6a1frpD32krNuStWv7fsoce4ilZN3rglOVfbshetu1S+J9x +DHFeOIGuu5gJJ9gyQcLrftiY/PZ+S5ESCLewcQ/7qrG7KXrCASmovbAmdfHJ +W2cXtjeb/Nqru7JGxXUZOGvOYqu7jpqLm+ZmLslekPzsYz95Ku6tmSvPkr68 +9d3c8WbvpecJfsyi7ub+JRMSXh+eMjH1b0vzbz04Qb5rWwb3WHDW6uiY4jm/ +uEvHOSG3MnyRQDi5LjPh5FtmAFvhdZdW9uy746b5A2QQToB91djdFDzhgBTU +nMtOzSp0odpz5pOPUPk3A5t1mJe36LjpXY+vYv9fXopefL4WuU9Ob/lUpzuv +IAnxlKzuHz2b4MswrhMZL7d4I+dywyEOTHfUpAIbr3f9B/vsx1EvTDpq6++G +jwzCiXWZCifeMiMYC8dc26UQjodCNXY3xU44IARPydqkV6Lr0eetb8vvvmJz +F69IXXEmMDaWk191cGSLtml5/zx0w+y7QN6rX/Zq2ubOnUHlgaRWXZZe4PCz +zrfzxzzzi6e7xw/xM3R4xonb7D+EfXCqg4BwZjwQHtXil0+06ay2cKlVByGb +cEAO3Kczu7Vp3eYOzzd97KeNm/82ZtzhqvoPqz46uVWrMbnzv7li+sMrnotZ +v2vS3j/v3qtbRg/OyK/ksd/lO+Oa/PrtwxKOPSkgnANW9+3KCFdDNaAingtL +X2pufFdTU5TZtkXCF4uyD+7+2uibRAG8lcf+lTpm4sdr1uftKL7N6RO5+3RG +6yfbzrX5lQDJAOGswH69PYjcwtVQDaiIxeS7Tr7f5TfxwwalZBVUmsz9tS3D +WjZ94uePPuLn0cbtJnD6QSpf5ZGFSd069R85KW36zLkbS21951QSQDgr6K/t +MghXQjUQYdSWbv77zJzzwTsOn+fGgXlT9mFPGmAfEC4YEA5EInVlOa80i827 +Erzf8VYWfr1+22V4ZckPEC4YEA5EJr6qgswBLZs0fSFuaPKUWYtzD12Hfw2Q +KyBcMCAcAAAAAAAAAAAAAAAAAAAAAAAAUBqoSYoHnIcCNgQDwiMCqEmKB5yH +AjYEI1GrN5J3k6DdaRFzJIGqJmnZslQyJYkTzmRR/JwHoJsH8TDomVpD2WPV +LpZK1eq1hklrWDvhRpC0O81jjkRQ1yTNWpZKpiRxwtksipvzAJTzIB76nqk1 +lD1W/WKpNK1ea5i0huUR7nRK0iLmSAJ9TdKsZallu5PJovg5R9TzYABP4YiF +DWsoe6ya1WkRXavXGiatYWnqtM6nJM1jjiQwqEmatCy1bHcyWRQ/5wHo5sHg +2fIUjpjYsIS2x6pXnRZRtnotYdMalqROK0FK0irm+BCGQUkGNUnTlqWW7c7w +FiXceRjzgKQQzsTGA4yE0/VYdcsB07V6Q7CpWmydlmDCjZEhJUkWc+RYk2SI +Lu3OIM44DyvuKYFwhjZMc8A0aJcDpmr13sO+asF1WsJ/wro+UqQkiWKOPGuS +LNGj3RnEIefhxT2dF87OhnkOmAbtcsBUrd67UKgWXae1dW1XJSWJ5K9J6tXu +DCK1cxAuGL1ywFKrDkI24SYok5JECtUktWh3BlHDOQiXCGWEq6Ta5tdk7iF3 +ShIpVJPUot0ZRA3nIFxO5Baukmp+13YZUpJInZqkHu3OIEo4B+FyIrlwhVRT +XtspgJSkYEC4YEC4YEC4FEBKUjAgXDAgXDAgXBIgJSkYEC4YEC4YEA4AAAAA +AAAAAAAAAAAAAAAAQAQCcUPBgPCIArZbPOA8gERxQxQRfUO5hKOIcP4A4YuV +brsF48R0Rbrze2BrklR9TMq+oX69VJxwBovi6TyAar1UqsVaQ6Ca5nwpOuE0 +xVI8lM51vKSYgK1J0vQxWfQNteqlIoxwBovi6TyAcr1UmsVaQ6Ka4nypOuEU +xVI8LJzLcklxOm5I08dk0jfUqZeKcMLpF8XVOVKwl0qzWGtIVNOcL0UnnKZY +ioWJc9GXFGOcjxtS9DHZ9A016qUinHD6RXF1HkC1XirVYi0hUU1zvhSdcJpi +KRY2zsVeUoyRIG5I1Utl0Tdk10slwHHh9L1Urs7D66USwF041WJDsKea7nyp +WASmLJY+BC/nQi8pxsgQN6TrpeIR2UvFIoNwYpxxzjY3KSBQy2LAbKtmdb5I +kSBQy6pYytG580gRN6TrpeIR2kvFIIVwUhxyzjQ3KSJQy2DA7KtmdL7IcT5Q +y6hYytO546gSN0Ty9w31qkkGkdq5XsKlVh1Eu0Ct7M7JJtwEZeKGSK2+oSkq +CUc6OFdGuEqqdQnUquScBrnjhkitviEJ0gtHmjmXW7hKqnUJ1KrknAbJ44ZI +qb4hCfILR3o5l1y4Qqq1CdQq5NwhIG4oGBAuGBAuGBAuBRA3FAwIFwwIFwwI +lwSIGwoGhAsGhAsGhAMAAAAAAAAAAAAAAAAAAAAAADgC9A3FAJ7FA87FA84b +4FA6E/qGYgjPc0R1VLkBzsUDzoNYxw3F5Dtt9w0DKJTv5LoWFu1O7sMgGN5x +TP7OAyg04UG4FmB5O6dM6EqEZdxQUL7Tbt8wgGr5Tl5rYdLu5D0MTsAxjsnf +eQDVJpxvAVaIc/sJ3bBwNG4oJt9pu2+IFMx3cloLE8+8h8EYh4RLMttc66LG +cBbOtQArxrnthG44OBs3FJPvtN03DKBcvpPPWth45jwMhjglXJbZ5lkXNYS7 +cJ4FWEHO7SZ0w8DxuKGIfCdF31DBfCeLtfDyzHQYkCT5TkZxTIecKzjh7Aqw +jjknS+jSIEPckBhn+obK5TstcLwjybxdK0O+kwVOOlduwhk9YZXmPGykiBuS +4lDfULl8pwWOdyTZt2slyHcywFHnyk04myes1pyHiUJxQyR531CjfKfUnu+j +V75TAecaTXgQBZzbR6W4IdKhb6iGcMU8a5HvVMy5KcoIR/o4xyF93BBp1jeU +WLhinrXIdyrmnAS5hSMtnRsif9wQ6dU3lFm4Wp71yHeq5ZwEyYUjHZ2zBuKG +ggHhggHhggHhUgBxQ8GAcMGAcMGAcEmAuKFgQLhgQLhgQDgAAAAQmfwfesP4 +Rw== "], {{0, 78}, {500, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -4845,7 +4845,7 @@ GwoGhAsGhAsGhEsBxA0FA8IFA8IFA8IlAeKGggHhggHhggHhAAAAQHjyf6mE ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[4]=", - CellID->34872333] + CellID->999577168] }, Open ]], Cell[BoxData[ @@ -5663,6 +5663,910 @@ Cell[BoxData[ ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[10]="] }, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + InterpretationBox[Cell["\t", "ExampleDelimiter"], + $Line = 0; Null]], "ExampleDelimiter"], + +Cell[TextData[{ + "For performance reasons ", + ButtonBox["DiracSimplify", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/DiracSimplify", + ButtonNote->"DiracSimplify"], + " will not canonically order Dirac matrices and canonicalize \ +Lorentz/Cartesian indices by default. However, amplitudes involving 4-fermion \ +operators may require such additional simplifications. In this case they \ +should explicitly activated by the user. Of course, this will somewhat slow \ +down the evaluation." +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex", "=", + RowBox[{ + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"-", + RowBox[{"Momentum", "[", + RowBox[{"p1", ",", "D"}], "]"}]}], ",", "mb", ",", "1"}], "]"}], ".", + + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GA", "[", "7", "]"}], ".", + RowBox[{"GAD", "[", "\[Nu]", "]"}], ".", + RowBox[{"GAD", "[", "\[Alpha]", "]"}], ".", + RowBox[{"GAD", "[", "\[Beta]", "]"}], ".", + RowBox[{"GAD", "[", "\[Delta]", "]"}], ".", + RowBox[{"GA", "[", "7", "]"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"-", + RowBox[{"Momentum", "[", + RowBox[{"p4", ",", "D"}], "]"}]}], ",", "0", ",", "1"}], "]"}]}], " ", + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p3", ",", "D"}], "]"}], ",", "0", ",", "1"}], "]"}], ".", + RowBox[{"GAD", "[", "\[Alpha]", "]"}], ".", + RowBox[{"GAD", "[", "\[Beta]", "]"}], ".", + RowBox[{"GAD", "[", "\[Delta]", "]"}], ".", + RowBox[{"GA", "[", "7", "]"}], ".", + RowBox[{"GAD", "[", "\[Nu]", "]"}], ".", + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GA", "[", "7", "]"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p2", ",", "D"}], "]"}], ",", "0", ",", "1"}], + "]"}]}]}]}]], "Input", + CellLabel->"In[1]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], TraditionalForm]], "Output", + ImageSize->{358, 38}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[1]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", "ex", "]"}]], "Input", + CellLabel->"In[2]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], TraditionalForm]], "Output", + ImageSize->{334, 38}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[2]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", + RowBox[{"ex", ",", + RowBox[{"DiracOrder", "\[Rule]", "True"}], ",", + RowBox[{"LorentzIndexNames", "\[Rule]", + RowBox[{"{", + RowBox[{"i1", ",", "i2", ",", "i3", ",", "i4", ",", "i5"}], "}"}]}]}], + "]"}]], "Input", + CellLabel->"In[3]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{"24", " ", + SuperscriptBox["D", "2"], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], "+", + RowBox[{"14", " ", "D", " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "+", + RowBox[{"112", " ", "D", " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i4", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i5", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i4", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i5", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{"36", " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i2", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i3", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{"64", " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox["mb", + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["i1", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{"-", + FormBox["p4", + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], TraditionalForm]], "Output", + ImageSize->{567, 151}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[3]="] +}, Open ]] }, Open ]] }, Open ]], @@ -5784,7 +6688,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracSimplify", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -5796,7 +6700,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 42.365209}", + "built" -> "{2020, 6, 20, 19, 4, 8.327657}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -5826,62 +6730,62 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "DiracSimplify"->{ - Cell[8064, 240, 144, 4, 70, "Input", + Cell[8066, 240, 144, 4, 27, "Input", CellTags->"DiracSimplify", CellID->2098245619], - Cell[8211, 246, 1535, 32, 150, "Output", + Cell[8213, 246, 1535, 32, 150, "Output", CellTags->"DiracSimplify"], - Cell[10540, 318, 171, 5, 27, "Input", + Cell[10542, 318, 171, 5, 27, "Input", CellTags->"DiracSimplify", CellID->201005194], - Cell[10714, 325, 752, 31, 37, "Output", + Cell[10716, 325, 752, 31, 37, "Output", CellTags->"DiracSimplify"], - Cell[11503, 361, 136, 4, 27, "Input", + Cell[11505, 361, 136, 4, 27, "Input", CellTags->"DiracSimplify", CellID->28604534], - Cell[11642, 367, 371, 14, 37, "Output", + Cell[11644, 367, 371, 14, 37, "Output", CellTags->"DiracSimplify"], - Cell[28224, 1027, 172, 5, 27, "Input", + Cell[28226, 1027, 172, 5, 27, "Input", CellTags->"DiracSimplify", CellID->149362799], - Cell[28399, 1034, 674, 28, 37, "Output", + Cell[28401, 1034, 674, 28, 37, "Output", CellTags->"DiracSimplify"], - Cell[29110, 1067, 138, 4, 27, "Input", + Cell[29112, 1067, 138, 4, 27, "Input", CellTags->"DiracSimplify", CellID->1129253480], - Cell[29251, 1073, 495, 19, 37, "Output", + Cell[29253, 1073, 495, 19, 37, "Output", CellTags->"DiracSimplify"], - Cell[44388, 1546, 167, 5, 27, "Input", + Cell[44389, 1546, 167, 5, 27, "Input", CellTags->"DiracSimplify", CellID->570896083], - Cell[44558, 1553, 708, 29, 40, "Output", + Cell[44559, 1553, 708, 29, 40, "Output", CellTags->"DiracSimplify"], - Cell[99526, 3592, 265, 8, 27, "Input", + Cell[99525, 3592, 265, 8, 27, "Input", CellTags->"DiracSimplify", CellID->990886795], - Cell[99794, 3602, 793, 32, 37, "Output", + Cell[99793, 3602, 793, 32, 37, "Output", CellTags->"DiracSimplify"]}, "PrimaryExamplesSection"->{ - Cell[9807, 285, 389, 15, 31, "PrimaryExamplesSection", + Cell[9809, 285, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1468871954]}, + CellID->951365112]}, "RasterizedOutput"->{ - Cell[34777, 1312, 7139, 125, 157, "Output", + Cell[34779, 1312, 7138, 125, 157, "Output", CellTags->"RasterizedOutput", - CellID->1265238922], - Cell[91924, 3424, 6382, 113, 106, "Output", + CellID->445331031], + Cell[91925, 3424, 6380, 113, 106, "Output", CellTags->"RasterizedOutput", - CellID->772821713], - Cell[129296, 4758, 4921, 89, 99, "Output", + CellID->1463952], + Cell[129295, 4758, 4922, 89, 99, "Output", CellTags->"RasterizedOutput", - CellID->34872333]} + CellID->999577168]} } *) (*CellTagsIndex CellTagsIndex->{ - {"DiracSimplify", 159070, 5827}, - {"PrimaryExamplesSection", 160271, 5863}, - {"RasterizedOutput", 160415, 5867} + {"DiracSimplify", 182514, 6731}, + {"PrimaryExamplesSection", 183715, 6767}, + {"RasterizedOutput", 183858, 6771} } *) (*NotebookFileOutline @@ -5893,338 +6797,338 @@ Cell[CellGroupData[{ Cell[5402, 139, 473, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5900, 156, 737, 24, 31, "NotesSection", +Cell[5900, 156, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->41535398], -Cell[6640, 182, 31, 0, 70, "SectionHeaderSpacer"], -Cell[6674, 184, 779, 28, 70, "Notes", + CellID->1889240277], +Cell[6642, 182, 31, 0, 14, "SectionHeaderSpacer"], +Cell[6676, 184, 779, 28, 49, "Notes", CellID->1067943069], -Cell[7456, 214, 290, 11, 70, "Notes"], -Cell[7749, 227, 290, 9, 70, "Notes"], +Cell[7458, 214, 290, 11, 32, "Notes"], +Cell[7751, 227, 290, 9, 32, "Notes"], Cell[CellGroupData[{ -Cell[8064, 240, 144, 4, 70, "Input", +Cell[8066, 240, 144, 4, 27, "Input", CellTags->"DiracSimplify", CellID->2098245619], -Cell[8211, 246, 1535, 32, 150, "Output", +Cell[8213, 246, 1535, 32, 150, "Output", CellTags->"DiracSimplify"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[9807, 285, 389, 15, 31, "PrimaryExamplesSection", +Cell[9809, 285, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1468871954], + CellID->951365112], Cell[CellGroupData[{ -Cell[10221, 304, 196, 6, 26, "ExampleSection", - CellID->454068069], -Cell[10420, 312, 95, 2, 32, "Notes"], +Cell[10222, 304, 197, 6, 26, "ExampleSection", + CellID->1939811072], +Cell[10422, 312, 95, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[10540, 318, 171, 5, 27, "Input", +Cell[10542, 318, 171, 5, 27, "Input", CellTags->"DiracSimplify", CellID->201005194], -Cell[10714, 325, 752, 31, 37, "Output", +Cell[10716, 325, 752, 31, 37, "Output", CellTags->"DiracSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[11503, 361, 136, 4, 27, "Input", +Cell[11505, 361, 136, 4, 27, "Input", CellTags->"DiracSimplify", CellID->28604534], -Cell[11642, 367, 371, 14, 37, "Output", +Cell[11644, 367, 371, 14, 37, "Output", CellTags->"DiracSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[12050, 386, 105, 2, 9, "ExampleDelimiter"], -Cell[12158, 390, 144, 4, 32, "Notes"], +Cell[12052, 386, 105, 2, 9, "ExampleDelimiter"], +Cell[12160, 390, 144, 4, 32, "Notes"], Cell[CellGroupData[{ -Cell[12327, 398, 130, 4, 27, "Input"], -Cell[12460, 404, 676, 26, 37, "Output"] +Cell[12329, 398, 130, 4, 27, "Input"], +Cell[12462, 404, 676, 26, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[13173, 435, 89, 2, 27, "Input"], -Cell[13265, 439, 287, 11, 39, "Output"] +Cell[13175, 435, 89, 2, 27, "Input"], +Cell[13267, 439, 287, 11, 39, "Output"] }, Open ]], -Cell[13567, 453, 337, 12, 32, "Notes"], +Cell[13569, 453, 337, 12, 32, "Notes"], Cell[CellGroupData[{ -Cell[13929, 469, 266, 8, 27, "Input"], -Cell[14198, 479, 1512, 58, 42, "Output"] +Cell[13931, 469, 266, 8, 27, "Input"], +Cell[14200, 479, 1512, 58, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[15747, 542, 89, 2, 27, "Input"], -Cell[15839, 546, 6006, 230, 87, "Output"] +Cell[15749, 542, 89, 2, 27, "Input"], +Cell[15841, 546, 6006, 230, 87, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[21882, 781, 309, 9, 27, "Input"], -Cell[22194, 792, 2403, 90, 42, "Output"] +Cell[21884, 781, 309, 9, 27, "Input"], +Cell[22196, 792, 2403, 90, 42, "Output"] }, Open ]], -Cell[24612, 885, 215, 7, 32, "Notes"], +Cell[24614, 885, 215, 7, 32, "Notes"], Cell[CellGroupData[{ -Cell[24852, 896, 384, 11, 27, "Input"], -Cell[25239, 909, 2683, 100, 42, "Output"] +Cell[24854, 896, 384, 11, 27, "Input"], +Cell[25241, 909, 2683, 100, 42, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[27971, 1015, 105, 2, 9, "ExampleDelimiter"], -Cell[28079, 1019, 120, 4, 32, "Notes"], +Cell[27973, 1015, 105, 2, 9, "ExampleDelimiter"], +Cell[28081, 1019, 120, 4, 32, "Notes"], Cell[CellGroupData[{ -Cell[28224, 1027, 172, 5, 27, "Input", +Cell[28226, 1027, 172, 5, 27, "Input", CellTags->"DiracSimplify", CellID->149362799], -Cell[28399, 1034, 674, 28, 37, "Output", +Cell[28401, 1034, 674, 28, 37, "Output", CellTags->"DiracSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[29110, 1067, 138, 4, 27, "Input", +Cell[29112, 1067, 138, 4, 27, "Input", CellTags->"DiracSimplify", CellID->1129253480], -Cell[29251, 1073, 495, 19, 37, "Output", +Cell[29253, 1073, 495, 19, 37, "Output", CellTags->"DiracSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[29783, 1097, 209, 6, 27, "Input"], -Cell[29995, 1105, 885, 36, 39, "Output"] +Cell[29785, 1097, 209, 6, 27, "Input"], +Cell[29997, 1105, 885, 36, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[30917, 1146, 89, 2, 27, "Input"], -Cell[31009, 1150, 1652, 67, 39, "Output"] +Cell[30919, 1146, 89, 2, 27, "Input"], +Cell[31011, 1150, 1652, 67, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[32698, 1222, 343, 11, 29, "Input"], -Cell[33044, 1235, 1604, 68, 37, "Output"] +Cell[32700, 1222, 343, 11, 29, "Input"], +Cell[33046, 1235, 1604, 68, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[34685, 1308, 89, 2, 27, "Input"], -Cell[34777, 1312, 7139, 125, 157, "Output", +Cell[34687, 1308, 89, 2, 27, "Input"], +Cell[34779, 1312, 7138, 125, 157, "Output", CellTags->"RasterizedOutput", - CellID->1265238922] + CellID->445331031] }, Open ]], Cell[CellGroupData[{ -Cell[41953, 1442, 446, 15, 27, "Input"], -Cell[42402, 1459, 1349, 55, 56, "Output"] +Cell[41954, 1442, 446, 15, 27, "Input"], +Cell[42403, 1459, 1349, 55, 56, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[43788, 1519, 89, 2, 27, "Input"], -Cell[43880, 1523, 166, 5, 35, "Output"] +Cell[43789, 1519, 89, 2, 27, "Input"], +Cell[43881, 1523, 166, 5, 35, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[44095, 1534, 105, 2, 9, "ExampleDelimiter"], -Cell[44203, 1538, 160, 4, 32, "Notes"], +Cell[44096, 1534, 105, 2, 9, "ExampleDelimiter"], +Cell[44204, 1538, 160, 4, 32, "Notes"], Cell[CellGroupData[{ -Cell[44388, 1546, 167, 5, 27, "Input", +Cell[44389, 1546, 167, 5, 27, "Input", CellTags->"DiracSimplify", CellID->570896083], -Cell[44558, 1553, 708, 29, 40, "Output", +Cell[44559, 1553, 708, 29, 40, "Output", CellTags->"DiracSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[45303, 1587, 89, 2, 27, "Input"], -Cell[45395, 1591, 562, 22, 40, "Output"] +Cell[45304, 1587, 89, 2, 27, "Input"], +Cell[45396, 1591, 562, 22, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[45994, 1618, 154, 5, 27, "Input"], -Cell[46151, 1625, 729, 28, 39, "Output"] +Cell[45995, 1618, 154, 5, 27, "Input"], +Cell[46152, 1625, 729, 28, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[46917, 1658, 89, 2, 27, "Input"], -Cell[47009, 1662, 848, 32, 39, "Output"] +Cell[46918, 1658, 89, 2, 27, "Input"], +Cell[47010, 1662, 848, 32, 39, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[47906, 1700, 105, 2, 9, "ExampleDelimiter"], -Cell[48014, 1704, 300, 9, 49, "Notes"], +Cell[47907, 1700, 105, 2, 9, "ExampleDelimiter"], +Cell[48015, 1704, 300, 9, 49, "Notes"], Cell[CellGroupData[{ -Cell[48339, 1717, 572, 19, 27, "Input"], -Cell[48914, 1738, 1608, 64, 42, "Output"] +Cell[48340, 1717, 572, 19, 27, "Input"], +Cell[48915, 1738, 1608, 64, 42, "Output"] }, Open ]], -Cell[50537, 1805, 372, 14, 42, "Notes"], +Cell[50538, 1805, 372, 14, 42, "Notes"], Cell[CellGroupData[{ -Cell[50934, 1823, 556, 21, 27, "Input"], -Cell[51493, 1846, 1216, 45, 67, "Output"] +Cell[50935, 1823, 556, 21, 27, "Input"], +Cell[51494, 1846, 1216, 45, 67, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[52746, 1896, 89, 2, 27, "Input"], -Cell[52838, 1900, 951, 35, 59, "Output"] +Cell[52747, 1896, 89, 2, 27, "Input"], +Cell[52839, 1900, 951, 35, 59, "Output"] }, Open ]], -Cell[53804, 1938, 401, 12, 49, "Notes"], +Cell[53805, 1938, 401, 12, 49, "Notes"], Cell[CellGroupData[{ -Cell[54230, 1954, 706, 24, 45, "Input"], -Cell[54939, 1980, 1462, 55, 60, "Output"] +Cell[54231, 1954, 706, 24, 45, "Input"], +Cell[54940, 1980, 1462, 55, 60, "Output"] }, Open ]], -Cell[56416, 2038, 731, 22, 66, "Notes"], +Cell[56417, 2038, 731, 22, 66, "Notes"], Cell[CellGroupData[{ -Cell[57172, 2064, 708, 24, 45, "Input"], -Cell[57883, 2090, 1462, 55, 60, "Output"] +Cell[57173, 2064, 708, 24, 45, "Input"], +Cell[57884, 2090, 1462, 55, 60, "Output"] }, Open ]], -Cell[59360, 2148, 192, 5, 32, "Notes"], +Cell[59361, 2148, 192, 5, 32, "Notes"], Cell[CellGroupData[{ -Cell[59577, 2157, 233, 6, 27, "Input"], -Cell[59813, 2165, 1016, 40, 39, "Output"] +Cell[59578, 2157, 233, 6, 27, "Input"], +Cell[59814, 2165, 1016, 40, 39, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[60878, 2211, 105, 2, 9, "ExampleDelimiter"], -Cell[60986, 2215, 95, 2, 32, "Notes"], +Cell[60879, 2211, 105, 2, 9, "ExampleDelimiter"], +Cell[60987, 2215, 95, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[61106, 2221, 444, 15, 27, "Input"], -Cell[61553, 2238, 975, 38, 38, "Output"] +Cell[61107, 2221, 444, 15, 27, "Input"], +Cell[61554, 2238, 975, 38, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[62565, 2281, 89, 2, 27, "Input"], -Cell[62657, 2285, 1414, 55, 38, "Output"] +Cell[62566, 2281, 89, 2, 27, "Input"], +Cell[62658, 2285, 1414, 55, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[64108, 2345, 202, 5, 27, "Input"], -Cell[64313, 2352, 598, 23, 37, "Output"] +Cell[64109, 2345, 202, 5, 27, "Input"], +Cell[64314, 2352, 598, 23, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[64948, 2380, 89, 2, 27, "Input"], -Cell[65040, 2384, 166, 5, 35, "Output"] +Cell[64949, 2380, 89, 2, 27, "Input"], +Cell[65041, 2384, 166, 5, 35, "Output"] }, Open ]], -Cell[65221, 2392, 228, 7, 32, "Notes"], +Cell[65222, 2392, 228, 7, 32, "Notes"], Cell[CellGroupData[{ -Cell[65474, 2403, 318, 8, 27, "Input"], -Cell[65795, 2413, 1043, 41, 37, "Output"] +Cell[65475, 2403, 318, 8, 27, "Input"], +Cell[65796, 2413, 1043, 41, 37, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[66887, 2460, 105, 2, 9, "ExampleDelimiter"], -Cell[66995, 2464, 163, 4, 32, "Notes"], +Cell[66888, 2460, 105, 2, 9, "ExampleDelimiter"], +Cell[66996, 2464, 163, 4, 32, "Notes"], Cell[CellGroupData[{ -Cell[67183, 2472, 755, 24, 45, "Input"], -Cell[67941, 2498, 2416, 98, 40, "Output"] +Cell[67184, 2472, 755, 24, 45, "Input"], +Cell[67942, 2498, 2416, 98, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[70394, 2601, 89, 2, 27, "Input"], -Cell[70486, 2605, 3282, 131, 64, "Output"] +Cell[70395, 2601, 89, 2, 27, "Input"], +Cell[70487, 2605, 3282, 131, 64, "Output"] }, Open ]], -Cell[73783, 2739, 304, 10, 32, "Notes"], +Cell[73784, 2739, 304, 10, 32, "Notes"], Cell[CellGroupData[{ -Cell[74112, 2753, 910, 27, 62, "Input"], -Cell[75025, 2782, 3808, 148, 64, "Output"] +Cell[74113, 2753, 910, 27, 62, "Input"], +Cell[75026, 2782, 3808, 148, 64, "Output"] }, Open ]], -Cell[78848, 2933, 338, 8, 49, "Notes"], +Cell[78849, 2933, 338, 8, 49, "Notes"], Cell[CellGroupData[{ -Cell[79211, 2945, 1566, 50, 79, "Input"], -Cell[80780, 2997, 4902, 192, 62, "Output"] +Cell[79212, 2945, 1566, 50, 79, "Input"], +Cell[80781, 2997, 4902, 192, 62, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[85719, 3194, 193, 6, 27, "Input"], -Cell[85915, 3202, 3873, 150, 64, "Output"] +Cell[85720, 3194, 193, 6, 27, "Input"], +Cell[85916, 3202, 3873, 150, 64, "Output"] }, Open ]], -Cell[89803, 3355, 261, 9, 32, "Notes"], +Cell[89804, 3355, 261, 9, 32, "Notes"], Cell[CellGroupData[{ -Cell[90089, 3368, 1832, 54, 96, "Input"], -Cell[91924, 3424, 6382, 113, 106, "Output", +Cell[90090, 3368, 1832, 54, 96, "Input"], +Cell[91925, 3424, 6380, 113, 106, "Output", CellTags->"RasterizedOutput", - CellID->772821713] + CellID->1463952] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[98355, 3543, 105, 2, 9, "ExampleDelimiter"], -Cell[98463, 3547, 389, 12, 49, "Notes"], +Cell[98354, 3543, 105, 2, 9, "ExampleDelimiter"], +Cell[98462, 3547, 389, 12, 49, "Notes"], Cell[CellGroupData[{ -Cell[98877, 3563, 150, 4, 27, "Input"], -Cell[99030, 3569, 459, 18, 37, "Output"] +Cell[98876, 3563, 150, 4, 27, "Input"], +Cell[99029, 3569, 459, 18, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[99526, 3592, 265, 8, 27, "Input", +Cell[99525, 3592, 265, 8, 27, "Input", CellTags->"DiracSimplify", CellID->990886795], -Cell[99794, 3602, 793, 32, 37, "Output", +Cell[99793, 3602, 793, 32, 37, "Output", CellTags->"DiracSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[100636, 3640, 105, 2, 9, "ExampleDelimiter"], -Cell[100744, 3644, 277, 6, 49, "Notes"], +Cell[100635, 3640, 105, 2, 9, "ExampleDelimiter"], +Cell[100743, 3644, 277, 6, 49, "Notes"], Cell[CellGroupData[{ -Cell[101046, 3654, 124, 3, 27, "Input"], -Cell[101173, 3659, 725, 30, 37, "Output"] +Cell[101045, 3654, 124, 3, 27, "Input"], +Cell[101172, 3659, 725, 30, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[101935, 3694, 160, 4, 27, "Input"], -Cell[102098, 3700, 166, 5, 35, "Output"] +Cell[101934, 3694, 160, 4, 27, "Input"], +Cell[102097, 3700, 166, 5, 35, "Output"] }, Open ]], -Cell[102279, 3708, 64, 0, 32, "Notes"], +Cell[102278, 3708, 64, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[102368, 3712, 144, 4, 27, "Input"], -Cell[102515, 3718, 914, 38, 37, "Output"] +Cell[102367, 3712, 144, 4, 27, "Input"], +Cell[102514, 3718, 914, 38, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[103466, 3761, 160, 4, 27, "Input"], -Cell[103629, 3767, 754, 30, 37, "Output"] +Cell[103465, 3761, 160, 4, 27, "Input"], +Cell[103628, 3767, 754, 30, 37, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[104432, 3803, 105, 2, 9, "ExampleDelimiter"], -Cell[104540, 3807, 255, 7, 32, "Notes"], +Cell[104431, 3803, 105, 2, 9, "ExampleDelimiter"], +Cell[104539, 3807, 255, 7, 32, "Notes"], Cell[CellGroupData[{ -Cell[104820, 3818, 182, 5, 27, "Input"], -Cell[105005, 3825, 1043, 41, 40, "Output"] +Cell[104819, 3818, 182, 5, 27, "Input"], +Cell[105004, 3825, 1043, 41, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[106085, 3871, 89, 2, 27, "Input"], -Cell[106177, 3875, 1784, 75, 37, "Output"] +Cell[106084, 3871, 89, 2, 27, "Input"], +Cell[106176, 3875, 1784, 75, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[107998, 3955, 529, 16, 46, "Input"], -Cell[108530, 3973, 1273, 48, 40, "Output"] +Cell[107997, 3955, 529, 16, 46, "Input"], +Cell[108529, 3973, 1273, 48, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[109840, 4026, 89, 2, 27, "Input"], -Cell[109932, 4030, 2619, 114, 40, "Output"] +Cell[109839, 4026, 89, 2, 27, "Input"], +Cell[109931, 4030, 2619, 114, 40, "Output"] }, Open ]], -Cell[112566, 4147, 477, 13, 49, "Notes"], +Cell[112565, 4147, 477, 13, 49, "Notes"], Cell[CellGroupData[{ -Cell[113068, 4164, 644, 18, 63, "Input"], -Cell[113715, 4184, 3823, 141, 66, "Output"] +Cell[113067, 4164, 644, 18, 63, "Input"], +Cell[113714, 4184, 3823, 141, 66, "Output"] }, Open ]], -Cell[117553, 4328, 302, 10, 32, "Notes"], +Cell[117552, 4328, 302, 10, 32, "Notes"], Cell[CellGroupData[{ -Cell[117880, 4342, 697, 19, 63, "Input"], -Cell[118580, 4363, 1088, 40, 40, "Output"] +Cell[117879, 4342, 697, 19, 63, "Input"], +Cell[118579, 4363, 1088, 40, 40, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[119717, 4409, 105, 2, 9, "ExampleDelimiter"], -Cell[119825, 4413, 237, 7, 49, "Notes"], +Cell[119716, 4409, 105, 2, 9, "ExampleDelimiter"], +Cell[119824, 4413, 237, 7, 49, "Notes"], Cell[CellGroupData[{ -Cell[120087, 4424, 228, 7, 27, "Input"], -Cell[120318, 4433, 734, 30, 37, "Output"] +Cell[120086, 4424, 228, 7, 27, "Input"], +Cell[120317, 4433, 734, 30, 37, "Output"] }, Open ]], -Cell[121067, 4466, 385, 9, 66, "Notes"], +Cell[121066, 4466, 385, 9, 66, "Notes"], Cell[CellGroupData[{ -Cell[121477, 4479, 89, 2, 27, "Input"], -Cell[121569, 4483, 1005, 17, 193, "Message"], -Cell[122577, 4502, 173, 5, 35, "Output"] +Cell[121476, 4479, 89, 2, 27, "Input"], +Cell[121568, 4483, 1005, 17, 193, "Message"], +Cell[122576, 4502, 173, 5, 35, "Output"] }, Open ]], -Cell[122765, 4510, 444, 9, 83, "Notes"], -Cell[123212, 4521, 128, 4, 27, "Input"], +Cell[122764, 4510, 444, 9, 83, "Notes"], +Cell[123211, 4521, 128, 4, 27, "Input"], Cell[CellGroupData[{ -Cell[123365, 4529, 273, 8, 27, "Input"], -Cell[123641, 4539, 572, 22, 37, "Output"] +Cell[123364, 4529, 273, 8, 27, "Input"], +Cell[123640, 4539, 572, 22, 37, "Output"] }, Open ]], -Cell[124228, 4564, 127, 4, 27, "Input"], -Cell[124358, 4570, 696, 17, 83, "Notes"] +Cell[124227, 4564, 127, 4, 27, "Input"], +Cell[124357, 4570, 696, 17, 83, "Notes"] }, Open ]], Cell[CellGroupData[{ -Cell[125091, 4592, 105, 2, 9, "ExampleDelimiter"], -Cell[125199, 4596, 412, 11, 65, "Notes"], +Cell[125090, 4592, 105, 2, 9, "ExampleDelimiter"], +Cell[125198, 4596, 412, 11, 65, "Notes"], Cell[CellGroupData[{ -Cell[125636, 4611, 279, 8, 27, "Input"], -Cell[125918, 4621, 1435, 57, 43, "Output"] +Cell[125635, 4611, 279, 8, 27, "Input"], +Cell[125917, 4621, 1435, 57, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[127390, 4683, 89, 2, 27, "Input"], -Cell[127482, 4687, 1135, 43, 43, "Output"] +Cell[127389, 4683, 89, 2, 27, "Input"], +Cell[127481, 4687, 1135, 43, 43, "Output"] }, Open ]], -Cell[128632, 4733, 180, 4, 49, "Notes"], -Cell[128815, 4739, 128, 4, 27, "Input"], +Cell[128631, 4733, 180, 4, 49, "Notes"], +Cell[128814, 4739, 128, 4, 27, "Input"], Cell[CellGroupData[{ -Cell[128968, 4747, 325, 9, 27, "Input"], -Cell[129296, 4758, 4921, 89, 99, "Output", +Cell[128967, 4747, 325, 9, 27, "Input"], +Cell[129295, 4758, 4922, 89, 99, "Output", CellTags->"RasterizedOutput", - CellID->34872333] + CellID->999577168] }, Open ]], Cell[134232, 4850, 127, 4, 27, "Input"], Cell[134362, 4856, 908, 20, 117, "Notes"] @@ -6272,16 +7176,32 @@ Cell[CellGroupData[{ Cell[151531, 5554, 90, 2, 27, "Input"], Cell[151624, 5558, 2523, 105, 39, "Output"] }, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[154196, 5669, 105, 2, 9, "ExampleDelimiter"], +Cell[154304, 5673, 508, 11, 83, "Notes"], +Cell[CellGroupData[{ +Cell[154837, 5688, 1400, 39, 79, "Input"], +Cell[156240, 5729, 3823, 156, 59, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[160100, 5890, 90, 2, 27, "Input"], +Cell[160193, 5894, 3039, 120, 59, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[163269, 6019, 300, 8, 45, "Input"], +Cell[163572, 6029, 14020, 538, 172, "Output"] +}, Open ]] }, Open ]] }, Open ]], -Cell[154186, 5668, 31, 0, 29, "SectionFooterSpacer"] +Cell[177631, 6572, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[154254, 5673, 270, 12, 31, "SeeAlsoSection", +Cell[177699, 6577, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[154527, 5687, 2667, 91, 86, "SeeAlso"] +Cell[177972, 6591, 2667, 91, 86, "SeeAlso"] }, Open ]], -Cell[157209, 5781, 23, 0, 41, "FooterCell"] +Cell[180654, 6685, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSlash.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSlash.nb index f73207dac..6c119c3cf 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSlash.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSlash.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16344, 595] -NotebookOptionsPosition[ 11665, 449] -NotebookOutlinePosition[ 14349, 523] -CellTagsIndexPosition[ 14235, 517] +NotebookDataLength[ 16285, 594] +NotebookOptionsPosition[ 11664, 449] +NotebookOutlinePosition[ 14291, 522] +CellTagsIndexPosition[ 14177, 516] WindowTitle->DiracSlash WindowFrame->Normal*) @@ -80,7 +80,7 @@ DiracSlash.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$70175], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$70293], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracSlash", ".html"]], None}]}]}, @@ -163,7 +163,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->735255828], + CellID->953191805], Cell["", "SectionHeaderSpacer"], @@ -211,7 +211,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1325041461], + CellID->1385859939], Cell[CellGroupData[{ @@ -221,7 +221,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1593102456], + CellID->811969189], Cell[TextData[{ "This is q-slash, i.e., ", @@ -449,8 +449,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracSlash", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -462,7 +462,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 44.281647}", + "built" -> "{2020, 6, 20, 19, 4, 10.136367}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -482,8 +482,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -495,29 +494,29 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6149, 198, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1325041461]}, + CellID->1385859939]}, "DiracSlash"->{ - Cell[6996, 237, 132, 4, 27, "Input", + Cell[6995, 237, 132, 4, 27, "Input", CellTags->"DiracSlash", CellID->1250007007], - Cell[7131, 243, 353, 13, 37, "Output", + Cell[7130, 243, 353, 13, 37, "Output", CellTags->"DiracSlash"], - Cell[7521, 261, 191, 6, 27, "Input", + Cell[7520, 261, 191, 6, 27, "Input", CellTags->"DiracSlash", CellID->751525159], - Cell[7715, 269, 615, 23, 37, "Output", + Cell[7714, 269, 615, 23, 37, "Output", CellTags->"DiracSlash"], - Cell[8367, 297, 155, 5, 27, "Input", + Cell[8366, 297, 155, 5, 27, "Input", CellTags->"DiracSlash", CellID->1690251158], - Cell[8525, 304, 615, 23, 37, "Output", + Cell[8524, 304, 615, 23, 37, "Output", CellTags->"DiracSlash"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13597, 494}, - {"DiracSlash", 13735, 498} + {"PrimaryExamplesSection", 13539, 493}, + {"DiracSlash", 13677, 497} } *) (*NotebookFileOutline @@ -531,7 +530,7 @@ Cell[3971, 113, 762, 24, 88, "Usage", Cell[CellGroupData[{ Cell[4758, 141, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->735255828], + CellID->953191805], Cell[5499, 167, 31, 0, 70, "SectionHeaderSpacer"], Cell[5533, 169, 107, 3, 70, "Notes", CellID->1067943069], @@ -545,58 +544,58 @@ Cell[5782, 181, 306, 10, 37, "Output"] Cell[CellGroupData[{ Cell[6149, 198, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1325041461], + CellID->1385859939], Cell[CellGroupData[{ -Cell[6562, 217, 196, 6, 26, "ExampleSection", - CellID->1593102456], -Cell[6761, 225, 210, 8, 35, "Notes"], +Cell[6562, 217, 195, 6, 26, "ExampleSection", + CellID->811969189], +Cell[6760, 225, 210, 8, 35, "Notes"], Cell[CellGroupData[{ -Cell[6996, 237, 132, 4, 27, "Input", +Cell[6995, 237, 132, 4, 27, "Input", CellTags->"DiracSlash", CellID->1250007007], -Cell[7131, 243, 353, 13, 37, "Output", +Cell[7130, 243, 353, 13, 37, "Output", CellTags->"DiracSlash"] }, Open ]], Cell[CellGroupData[{ -Cell[7521, 261, 191, 6, 27, "Input", +Cell[7520, 261, 191, 6, 27, "Input", CellTags->"DiracSlash", CellID->751525159], -Cell[7715, 269, 615, 23, 37, "Output", +Cell[7714, 269, 615, 23, 37, "Output", CellTags->"DiracSlash"] }, Open ]], Cell[CellGroupData[{ -Cell[8367, 297, 155, 5, 27, "Input", +Cell[8366, 297, 155, 5, 27, "Input", CellTags->"DiracSlash", CellID->1690251158], -Cell[8525, 304, 615, 23, 37, "Output", +Cell[8524, 304, 615, 23, 37, "Output", CellTags->"DiracSlash"] }, Open ]], -Cell[9155, 330, 133, 3, 32, "Notes"], +Cell[9154, 330, 133, 3, 48, "Notes"], Cell[CellGroupData[{ -Cell[9313, 337, 78, 2, 27, "Input"], -Cell[9394, 341, 328, 12, 37, "Output"] +Cell[9312, 337, 78, 2, 27, "Input"], +Cell[9393, 341, 328, 12, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9759, 358, 79, 2, 27, "Input"], -Cell[9841, 362, 277, 10, 37, "Output"] +Cell[9758, 358, 79, 2, 27, "Input"], +Cell[9840, 362, 277, 10, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10155, 377, 171, 5, 27, "Input"], -Cell[10329, 384, 169, 5, 35, "Output"] +Cell[10154, 377, 171, 5, 27, "Input"], +Cell[10328, 384, 169, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10535, 394, 235, 7, 27, "Input"], -Cell[10773, 403, 169, 5, 35, "Output"] +Cell[10534, 394, 235, 7, 27, "Input"], +Cell[10772, 403, 169, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[10969, 412, 31, 0, 29, "SectionFooterSpacer"] +Cell[10968, 412, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11037, 417, 270, 12, 70, "SeeAlsoSection", +Cell[11036, 417, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11310, 431, 313, 13, 70, "SeeAlso"] +Cell[11309, 431, 313, 13, 56, "SeeAlso"] }, Open ]], -Cell[11638, 447, 23, 0, 70, "FooterCell"] +Cell[11637, 447, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSubstitute5.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSubstitute5.nb index ef0b26db6..c2ed83b8c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSubstitute5.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSubstitute5.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15992, 578] +NotebookDataLength[ 15993, 578] NotebookOptionsPosition[ 12220, 459] -NotebookOutlinePosition[ 14310, 515] -CellTagsIndexPosition[ 14225, 510] +NotebookOutlinePosition[ 14311, 515] +CellTagsIndexPosition[ 14226, 510] WindowTitle->DiracSubstitute5 WindowFrame->Normal*) @@ -83,7 +83,7 @@ DiracSubstitute5.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$70627], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$70745], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracSubstitute5", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1301431210], + CellID->1561548786], Cell["", "SectionHeaderSpacer"], @@ -217,7 +217,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->876429583], + CellID->1189873913], Cell[CellGroupData[{ @@ -227,7 +227,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1653559727], + CellID->938629235], Cell[CellGroupData[{ @@ -459,8 +459,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracSubstitute5", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -472,7 +472,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 45.683908}", + "built" -> "{2020, 6, 20, 19, 4, 11.206085}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -502,9 +502,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6449, 204, 387, 15, 31, "PrimaryExamplesSection", + Cell[6449, 204, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->876429583]} + CellID->1189873913]} } *) (*CellTagsIndex @@ -523,7 +523,7 @@ Cell[4165, 116, 656, 20, 85, "Usage", Cell[CellGroupData[{ Cell[4846, 140, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1301431210], + CellID->1561548786], Cell[5588, 166, 31, 0, 70, "SectionHeaderSpacer"], Cell[5622, 168, 277, 9, 70, "Notes", CellID->1827982253], @@ -536,12 +536,12 @@ Cell[6048, 186, 340, 11, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6449, 204, 387, 15, 31, "PrimaryExamplesSection", +Cell[6449, 204, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->876429583], + CellID->1189873913], Cell[CellGroupData[{ -Cell[6861, 223, 196, 6, 26, "ExampleSection", - CellID->1653559727], +Cell[6862, 223, 195, 6, 26, "ExampleSection", + CellID->938629235], Cell[CellGroupData[{ Cell[7082, 233, 98, 3, 27, "Input", CellID->268105944], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSubstitute67.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSubstitute67.nb index 7aab21c2c..9c75fe993 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSubstitute67.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracSubstitute67.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18398, 680] +NotebookDataLength[ 18342, 679] NotebookOptionsPosition[ 14184, 549] -NotebookOutlinePosition[ 16339, 606] -CellTagsIndexPosition[ 16254, 601] +NotebookOutlinePosition[ 16283, 605] +CellTagsIndexPosition[ 16198, 600] WindowTitle->DiracSubstitute67 WindowFrame->Normal*) @@ -83,7 +83,7 @@ DiracSubstitute67.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$71094], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$71212], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracSubstitute67", ".html"]], None}]}]}, @@ -160,7 +160,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->923270122], + CellID->429370641], Cell["", "SectionHeaderSpacer"], @@ -213,7 +213,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->605792859], + CellID->1968630922], Cell[CellGroupData[{ @@ -223,7 +223,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1307624694], + CellID->322728253], Cell[CellGroupData[{ @@ -549,8 +549,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracSubstitute67", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -562,7 +562,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 46.985331}", + "built" -> "{2020, 6, 20, 19, 4, 12.322278}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -582,8 +582,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -593,14 +592,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6343, 200, 387, 15, 31, "PrimaryExamplesSection", + Cell[6343, 200, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->605792859]} + CellID->1968630922]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16111, 594} + {"PrimaryExamplesSection", 16054, 593} } *) (*NotebookFileOutline @@ -614,23 +613,23 @@ Cell[4169, 116, 587, 18, 85, "Usage", Cell[CellGroupData[{ Cell[4781, 138, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->923270122], -Cell[5522, 164, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5556, 166, 280, 9, 70, "Notes", + CellID->429370641], +Cell[5522, 164, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5556, 166, 280, 9, 32, "Notes", CellID->1827982253], Cell[CellGroupData[{ -Cell[5861, 179, 100, 2, 70, "Input"], +Cell[5861, 179, 100, 2, 27, "Input"], Cell[5964, 183, 318, 10, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6343, 200, 387, 15, 31, "PrimaryExamplesSection", +Cell[6343, 200, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->605792859], + CellID->1968630922], Cell[CellGroupData[{ -Cell[6755, 219, 196, 6, 26, "ExampleSection", - CellID->1307624694], +Cell[6756, 219, 195, 6, 26, "ExampleSection", + CellID->322728253], Cell[CellGroupData[{ Cell[6976, 229, 86, 2, 27, "Input"], Cell[7065, 233, 255, 9, 39, "Output"] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrace.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrace.nb index d0869aa17..5df31f538 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrace.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrace.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 139306, 4013] -NotebookOptionsPosition[ 127743, 3645] -NotebookOutlinePosition[ 131607, 3752] -CellTagsIndexPosition[ 131452, 3745] +NotebookDataLength[ 139234, 4012] +NotebookOptionsPosition[ 127739, 3645] +NotebookOutlinePosition[ 131541, 3751] +CellTagsIndexPosition[ 131386, 3744] WindowTitle->DiracTrace WindowFrame->Normal*) @@ -91,7 +91,7 @@ DiracTrace.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$72086], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$72204], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracTrace", ".html"]], None}]}]}, @@ -175,7 +175,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2091496943], + CellID->894721589], Cell["", "SectionHeaderSpacer"], @@ -205,7 +205,7 @@ Cell[BoxData[ RowBox[{"TraceOfOne", "\[Rule]", "4"}], ",", RowBox[{"West", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{493, 72}, + ImageSize->{493, 73}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[72]="] @@ -230,7 +230,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1586921873], + CellID->1070442148], Cell[CellGroupData[{ @@ -240,7 +240,7 @@ Cell[TextData[{ Cell["(10)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1676163414], + CellID->1068112497], Cell["There is no automatic evaluation of Dirac traces", "Notes"], @@ -921,51 +921,51 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnHlMFFcAh7E1bWPTVGuMJoZEjSKoiGijoCCgiNXQKGALUtoqQRBUbABF -MQUElOpiMBU1BdYCQhQVgiBKvRqPegAWKygol6AcCkXYBfbe6S5bq13m2jne -zozv+4MgM5mZ9/1mHjM78pscuNU7+D0LC4vIj3RfvNdHu0VErN/pM1r3j6/C -I0NDwjcErQiP2hCyIcIh8H3dD630q46wsNB/j0AgEMi7gPxZYVZOXnp88K7b -vVpzH4ywgaqFAcyRDH2VO/fffKUhXE8DFdKFrGo6wJiGw7QTEDnyHrWk+mSo -i+u2i93qYctUrVk+gTd6EaS/Knzxd7f6TNqw8uX1/SsWxT2SIYM10YtXl3Ub -p6uRVOdnnLp4MTdufdKdvreXamVPfzuWV3I+K2ruZ59Nspo+3dZ972PZm0Pu -upyw1mX2pE/HTLGZNX9t8YvhR85JMFTTHg5eTOylwG3wnNAVjpHju6oaDVm9 -eOuuwlZp8xGnBfvrFUZLtd0XfFaeaFcj8sdJDu6nO02eonuvB3ikNck6SwIT -yiVGmjU9VzZ9mdao26e8LsnV/5bkzW57b0R6pTUo9GeHeKnnBeOANLLOLrl2 -sDrON7tVZeohmQ1M1bSHQxQTOylwGzwn9ITjXjL8UK3qOONnH3BXgrmCvCHV -9+sD9ZRnNm1Xqdfi5CdyBJHc8nfd81hutLy/MswjWfdTddtxV4eh9UxEVrvX -M/ZORU7WA2PLiOZF4Upn0VAwA/cj3GOqB/9b1HPFe1HsI/2oFPUH3L+/jSpA -Xpfil96kNPmQ0DG7ajrDIYqJxRQowLrqIQhPXYrCCXLklmp0VO0FQU7jLP1w -ItD0VRUWVvVSftZTNh9ycj3epkYGHiSsTno4aLRYN9k7LjvfrVU0/uI249u7 -EtP3I3u42y3gx7wG4y0j+lx8pznm6vaN9P+VGHC44c3Ur+k8vcRxnz4BecPR -tfF/StG2rGrJXO5/qYeZqd38qukMhzAm9lIwHQCq9RA6oSqcIEcuqcYYwPMz -uw6WiuZOxYsAn2hsOjo6hlZRNGes89t7skCcVtwkM5asbj/hZu2yJOCH3aLU -VfNWpZxtHkTPAWPjOiQVmzbmtqL9WpDVxtlOXOAZl11clJf1e+f/VlG1nwn1 -2pF1rjj32KXnGLdJqme/LrVaUdrFwAdoHFBNYjiYkoljYi8FUwGjmowTysLx -c+SOanSUrfkx6XV9zUfmYUWg7Loh3ujh7LUvJR1tenyN4llpqigj93CI1agP -xntsTsxpJn2Hqe0uW7P0cDPxzaL6VXlGZIB/UHhUzJ7Mqj5Sl7qqJd3ZIaXB -+EMdM8AF1STAlEw6JhQApwBMNR0nr6FyVuPAiRNe8TQ3Rqx7xlQ+xY4AQXqv -eU1dcLDo6CPMuV8rKd823yW9Ral7oIy3Gb8wv8MEPfpwHLdX48RrQFab7GT9 -TUGbSSnqbigd52yvIdw463BCNTHYksnGhAbYFMCppuPkXyid1TiAUK1qPx24 -3MWIlZv/eP0/beSN2THZTfobItwI+iuDre1ji36+h/mcqOk694Wl3dAsKa0I -nOmcycYrlIGqsMmfTFzi7avDLyi5doD5XVCBSLIBvqjmqGQDwlJtgKPCyanG -QP5E5GpnazfEDMtRH46eNttt6/1+49UGa6JnzgwrTLv2EvMdvKpV/PmEeTrx -mq6y0DXJVVI2XmL1XveYMGXLfY6YNw3eqOazZAO8UW2A/8JxUbVmzp+GPrcr -GkT21gGnjuZW3rxcg/G6RiOtObkzLOpQ/tmiq40DLL0alz9Jth1nn1rP6kdO -7MNt1QKRbIDbqg0ISvhwcCKQ1SU4z/Je5xMurpZiBNBdts7GcuzHI0foGDl6 -biRLb7G00gdHAl0XrgreHhufmFrSwdRTKVg4rloYkg1wXLUBIQlnFGXHhZ8S -C1oMM65W1VNxcMedV2Y+JoECVQMDqjYz6s6C5VPdi14aZn2NtP7y2UttAr2t -MzNQNTCgarOj7a8WrbaZYDnHwy9kx770wnt/8+dPangGVA0MqBoCgUAgEAgE -AoFAIBAIBAJhBtgLChJoGyTQthmBVboggbZBAm3jQaOikwTUq3QFWHiLq5qJ -vlN6xcVYQfNRtQF222Wp2sY5DfirGhVqFZ3E0KjSFWbhLbZqBvpOaRYXYwbN -V9XstsvSs41xGgBUDaQalFpFJxG0qnSFWHirB0s17b5TusXFBEHzUDWb7bJ0 -beNccQyrRgdQNSilik5C6FTpCrLwVg+Gavp9p3SLi/GD5qNqNttl6drGueIY -VY0OqGpQihWdeDsa2jidKl0mC2/VL0pCtpTjKjS7atP6Tpm2TRg077qFmWyX -Zd42zhXHpGp0uNDCSq6ik0ovKBN9pGRRP89Z5nkV5+9fuaCaNKzYBtbFCkw1 -QyPi+rltMpxoYSVV0UmpF5SBPlLyEEwsnFBNFnZsg6q9BaeamRFx/9w2ER5V -g3K0FxR5uxrU0XrMWLtFsIWVNYRYeItw1jZ1+FQNyoNeULw7Fj6pRnhhGxOe -qUb4bZsIzleD8qAXlPAzFgOcV43wwjYZ+KAaEYxtVLhfDcr9XlD6EwtHVCN8 -sE0GXqhGhGKbaWA1KDCgamBA1WYGVoMCA6oGBlRtdmA1KDCgamBA1RAIBAKY -fwAYUfbd +1:eJztnHlMFFcAh7E1bWPT1CNGE0OiRhFURDRVUBBQxGowCtiClLZKEAQVG0BR +TAEBpQoGU1HTBSwgRFEhCKLUq/GoB2CxgoJyCcihUIRdYO+d7rK12mWunePt +zPi+Pwgyk5l532/mMbMjvyn+2z0DPzAzMwv/RPvFc2OkS1jYxt1eo7X/+Co0 +PDgodFPAytCITUGbwuz8P9T+0EK36ggzM933CAQCgbwPyFoLMrNzRbGBe+72 +akx9MMIGqhYGMEcy9FXsPnj7tZpwPTVUSBeyqukAYxoO005A5Mh7VOKq08FO +zjsud6uGLVO2ZHr53+pFkP7K0CXf3ekzasOKVzcPrlwc80SKDFZHLllb2m2Y +rlpclZd25vLlnJiNCff63l2qkT7/7URu8cXMiHljx062mDHD2nX/U+nbQ+66 +Grfeac7kz8dMtZq9YH3Ry+FHzkkwVNMeDl5M7KXAbfCc0BWOkeP7qhoNaV3G +9j0FLZKmYw4LD9bJDZZqui95rTrVrkJkTxPsXM92Gj1F9970c0ttlHYW+8eV +iQ00q3uubVmd2qDdp6w2wdn3jvjtbntvhXuk1st1Z0fGMvdLhgGppZ1dMs1g +VYx3VovS2EMyGZiqaQ+HKCZ2UuA2eE7oCce9ZPihWtlxzsfW774YcwVZfYr3 +14fqKM9smq4SjyWJz2QIIr7j67zvqcxgeX9FiFui9qeqtpPOdkPrGYm0Zr97 +9L3y7MxHhpYR9cuCVY5JQ8EMPAxzjaoa/G9RzzXPxdFPdKOS1x1y/f4uqgBZ +bbKPqFFh9CGhY3LVdIZDFBOLKVCAddVDEJ66FIUT5Mgt1ego2/MDHMab++BE +oO6rLCio7KX8rKdoOuLgfLJNhQw8ilub8HjQYLF2srdffrFbI2/4xWXmt/fF +xu9H+nivi9+PufWGW0Z0uXhPt8/R7hvp/yve72j926lf3Xl2qf0BXQKy+uPr +Y/+UoG1Z2Zy+wvdKDzNTu+lV0xkOYUzspWA8AFTrIHRCVThBjlxSjTGAF+f2 +HC5JmjcNLwJ8IrHp6OgYWkXelLbBZ//p/IzUokapoWRV+ykXS6elfj/sTUpZ +M39N8vmmQfQcMDauRVy+ZXNOC9qvBWlNjPWkhe4xWUWFuZm/d/5vFWX7uWCP +XZkXinJOXHmBcZukbP11mcXKki4GPkDjgGoSw8GUTBwTeykYCxjVZJxQFo6f +I3dUo6NoyYsS1fY1HZuPFYGi61bGZjdHjwPJIrTp8Q3y1pKUpLSco0EWoz6a +4LY1PruJ9B2mprt03bKjTcQ3i6rXZWnhfr4BoRFR+9Ir+0hd6spmkaNdcr3h +hzomgAuqSYApmXRMKABOAZhqOk7eQOWsxoETJ7z8eU5UhvYZU/EcOwIE6b3h +MW3h4cLjTzDnfo24bMcCJ1GzQvtAGWs1YVFehxF6dOHY76zCiVePtCbRwfKb +/DajUtTeUNrP3VlNuHHW4YRqYrAlk40JDbApgFNNx8m/UDqrcQChWtl+1n+F +kwGrtv7x5n/ayBqyorIadTdEuBH0VwRa2kYX/vwA8zlR3XXhS3OboVlSUu4/ +yzGdjVcoA5UhUz6btNTTW4tPQGLNAPO7oAKRZD18Uc1RyXqEpVoPR4WTU42B +7FmSs421zRAzzUd9PHr6HJftD/sNVxusjpw1K6Qg9cYrzHfwytaMLybO14pX +d5UGr0uslLDxEqv3ptvEqdsecsS8cfBGNZ8l6+GNaj38F46LsiV9wXT0uV1e +n2Rr6XfmeE7F7avVGK9r1JLHp6NCIo7knS+83jDA0qtx2bNE6/G2KXWsfuTE +PtxWLRDJeritWo+ghA8HJwJpbZzjbM8NXqEZVRKMALpLN1iZj/t05AgtI0fP +C2fpLZZG8uiYv/OiNYE7o2PjU4o7mHoqBQvHVQtDsh6Oq9YjJOGMoui49FN8 +frN+xtUoe8oP77r32sTHJFCgamBA1SZG1Zm/Yppr4Sv9rK+W1F09f6VNoLd1 +JgaqBgZUbXI0/VVJa60mms918wnadUBU8OBv/vxJDc+AqoEBVUMgEAgEAoFA +IBAIBAKBQCDMAHtBQQJtgwTaNiGwShck0DZIoG08aFR0koB6la4AC29xVTPR +d0qvuBgraD6q1sNuuyxV2zinAX9Vo0KtopMYGlW6wiy8xVbNQN8pzeJizKD5 +qprddll6tjFOA4CqgVSDUqvoJIJWla4QC291YKmm3XdKt7iYIGgeqmazXZau +bZwrjmHV6ACqBqVU0UkInSpdQRbe6sBQTb/vlG5xMX7QfFTNZrssXds4Vxyj +qtEBVQ1KsaITb0dDG6dTpctk4a3qZXHQtjJchSZXbVzfKdO2CYPmXbcwk+2y +zNvGueKYVI0OF1pYyVV0UukFZaKPlCyqF9nL3a/j/P0rF1SThhXbwLpYgalm +aERcP7eNhhMtrKQqOin1gjLQR0oegomFE6rJwo5tULW34FQzMyLun9tGwqNq +UI72giLvVoPaW44ZZ7MYtrCyhhALbxHO2qYOn6pBedALinfHwifVCC9sY8Iz +1Qi/bRPB+WpQHvSCEn7GoofzqhFe2CYDH1QjgrGNCverQbnfC0p/YuGIaoQP +tsnAC9WIUGwzDawGBQZUDQyo2sTAalBgQNXAgKpNDqwGBQZUDQyoGgKBQADz +D6YX9vU= "], {{0, 38}, {371, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -979,7 +979,7 @@ fwAYUfbd ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[4]=", - CellID->1546036623] + CellID->745659537] }, Open ]], Cell[CellGroupData[{ @@ -1067,7 +1067,7 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQuMVdUVhrE1TWvbKBojiTFRYxHqAx+NMgLyFKvBKmALUtoKURBUbAHB +1:eJztnQuMVdUVhrE1TWvbKBojiTFRYxHqAx+pMgLyFKvBKmALUtoKURBUbAHB RwoIKEWwmAragmMRob4KQVChihqRIgUsKgjooBSQl4MwzMC8557eOxfldc/e +5yz9rpr7/t/iUaZCevu/z/rzJnhku+c/vf0GPCdJk2aDPt++l89+o3sOHRo v/t7npL+n18OGTZo4JDbb7tuyPDbB94+tHX/76Z/cUT6n2bpz8/8dwAAAAA4 @@ -1093,10 +1093,10 @@ zZp2odwL4BYVq/q1LPrrFtU3oTXbXpsyacbsaQObn/S9M7reNW7WZuM/ME3t WXxz52mbzb/FTTArAropdVumt2s9OcFz21HUfznrmm5v79N/YkF2YTaLthED /OkiWnSMpRvvBZBOat/SwZ2HLVO8tT1VvvLeK9pPTy9U9cYxLc+46sWdER75 MutSNML4x7GJZpm/KO2U2s1PFF0yYl38nyIfjeG+FGIXprOIG9G/In+6iBId -Z+n4OiKeuh0v97+2/TFcf9e/j12Lhn3LJ/yheKPqTxMbSl/9+VmtGp9mKlb1 -v6Dd0xbfhcEzi+1Eh1soatH0tFZtwlo49LIKsQu2WaYbcegFFWgXPIOi7QUQ -Tqqy5B8Tiz86/k1PR1G3tfhnzS5PX1ANpYsH3TxhTYXFsnlmcZ4oi/65q1C7 -4J+lp4C7YC4C34+4T822BVOmryxr/La1oWzd/EU7cv/8tKFi3Qv3Dx7+xIuv +Z+n4OiKeuh0v97+2/TFcf9e/j12LhrLlE/5QvFH1p4kNpa/+/KxWjU8zFav6 +X9DuaYvvwuCZxXaiwy0UtWh6Wqs2YS0celmF2AXbLNONOPSCCrQLnkHR9gII +J1VZ8o+JxR8d/6ano6jbVvyzZpenL6iG0sWDbp6wpsJi2TyzOE+URf/cVahd +8M/SU8BdMBeB70fcp2bbginTV5Y1ftvaULZu/qIduX9+2lDxyQsPDB7+xIuv zH/784N2ryueWZwnyqLbl8Ltgn+WjoLugrkIfB1xnPrS1wed/4MTmhzihJMu npT7j+Ea9iy+teVZp/3wxBPSnHjKZcNo3sKZE55ZnCf6BuW+FHAX/LM0FHYX 7EXg60hhULtz0Z/Gzd2SfXdfqm7vqsfvW2GrdZ5ZnCeixb8u+GdR4WU+LhYB @@ -1163,7 +1163,7 @@ fm1bj5roRNKvbaexL0cmkKrH8lAryI8cOa8eaqMjx8qZoF9zSEz3eVd+Z7GT Nve1bT9qmhPJv7YdRrocOYtQRbJfHupAbM4BseleQtSB2LS9u6qzCE3bBxyQ I2dxX5HsRtQO5ExguhcRdeBE2hqciTrwIW2hOCFHzuK6ItmVqB3IObnpXkbU gRNpK3Eo6sD9tGXijBw5i8uKZJeilp9zctO9kKgDF9IOx7GoA7fT9hvIkdlA -1GwgajYQNYAcmQ9EzQaiZgNRgwByZEYQNRuImg1EDQAAAPjN/wERmFXA +1GwgajYQNYAcmQ9EzQaiZgNRgwByZEYQNRuImg1EDQAAAPjN/wEHxlah "], {{0, 118}, { 536, 0}}, {0, 255}, ColorFunction->RGBColor], @@ -1178,7 +1178,7 @@ gRNpK3Eo6sD9tGXijBw5i8uKZJeilp9zctO9kKgDF9IOx7GoA7fT9hvIkdlA ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[6]=", - CellID->1367676074] + CellID->837611303] }, Open ]] }, Open ]], @@ -1502,73 +1502,73 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnX1sldUdx9lmNuP+GGoWTZYmbhEUN8TBgnS8tJUKg7DJi8ZCuk0asUMd -LIDKS2YRGEzKoongskJdwRJhvIQXEQbqEt0QwU1nUcEChQKl2A6hLdzb3t77 -7L6sA8q9zznPfc75nZfn+0k0Spvnd+/nnOfkKVz9fLdk+vjHvtqjR4+Z18f/ -Nn7yMwUzZkyeM6Fn/F8emjZzaum0KY+OmjZrSumUGYNKvhb/xZ/F/+oR//7E -PzsAAAAAAeGTm6vWrK2Y/9i8987HVL+YQAHzqoB5AFJc+GDO0r9/GaUZFsXd -dhlS8yngPwmveegCltPZUrNual7+U7ubO6/65aY3F0zMu/u2b934vT4/GDhx -29nOTBdgEamvmlDy7nnHaftw2rBf7L1w9VdjoeN/fWXt9jeqZvW/6abbet9x -R9/CxYdDWYzp+OKdpaMGl30aci4dfGbY2F3N3W/daEvN+pV/2b27umzyon0X -NLixM5gX6CSJm38hq2yReYe1XXkhccLYJ+JuYWApodrK6fM217fWvTzk3qW1 -7Ze/EA01NoVjl2rKHl5dH/E1Ita8c8Lo1xo6nfDhRYMKNzRe9dAVO//uzHHL -j7QnbrvK4WN2XnObeOL8O8Ujlh8LNW4vWbC/pduVoufeeuKny4/GJ4UPLcqf -tLfFzyABZDQv2Imrf2GrbIf5BK7b1ROynbD2ibhbGGhL5MzGoh8Wv5/dPRVr -2jFu2JLPw47TsndS/u8Oh7t9PXxoWVHFsQ5/r7Dtg8dHLIlfuvP0q/mDksOu -4Nxb4wc/+2nikaW99g+Fv3zP39kQ+mzxmGf3HVhT9XH3+82Jnt08emh58m6/ -+NGMwrk1l3xNciSaF+vE3X8CEatsh/kETF3cyHbCtU+E3MJAUyINmx4d8u2c -oizvhY66l4bkv3q607n48YKxiz7pvgkjJ1aNnLTnnL/Hz/hjVO79bzTH2o/+ -qeCun7/fctXzVLRxw325zyfug/CRP06c/69WX6Oc0CfPFRT/du2RNHdTy96H -e+VWx9+q0/bvhcUrjnR/7POKPPOCnbj6TyBkla0wn4Cpix/JTrj2iZDFBXrS -cWrjvBd3lPe/Pdt7wWmvW/lI0eJ1myqXbzsWumaTRE7+eXjvUTua/PwBZWfD -awV35t1X/Jvnyl94YMADy7bWXbpyTqRh49Rxs6te31b9yp5TPp61UrQceOJX -1fXpHnZCn5X1/c69Y8pWb9uytupvjX6fh6SaF+qE4d8Rs8qCzHee3V766/2u -RiXvebYufmTvRp59wru4HOaBXnTUr59bcehC3csDmPdC+8kdL5SvrF5R2vuG -r98y4smFa+qy/sNEj9ePNe96cPiKOoE/f2b1XiInKoYOWub70fN/aGSeNUWk -f/nmO0+tuX/M219m/gbZ5j3rItiNJFuIaR7oRfvx6rmVtSGn4zjrXoi17H9q -YF7FiQ4nfGh+n1t+vP6M2A8cul0/cT/lPu3/d3x5ZrkQ/5k/956nD4p5GfqY -Z08R55/EPOMUkm7eoy4CJzRbCOe/ZkQaNpSMzOvG6Cf/0fXfqoSPrp67+lji -Zz7mvRBtev0nOf2STxutB0q+P3SV4M8CyL4+2SyW8xQambdmymXzuXfeeHO/ -wTBPNYLPPNCM8Ofl+f369ktyV84N3+jZ6+6C6R+1pf3eSH3lj24dEN840aZd -Ux9c8mGr4KWVfX1Vs9Kjk3n7prg9hQbSPNmGx/O/oUTqVw3s5fos1Hpw3ZzH -Z720fuuWt49eFL9/ZF9f1Swmys3bN4XzFAqOebINj/PfUBj3QrR51yN9cm7+ -5nVfiXNdz/4z/X6ckPj6qmZxoNi8fVNEnf/WOCHc8Dj/baTjzM7fL9x0IvXZ -sFjk3IEXZ+8Tucayr69qln9oXq1NU0RhjROztAPt6GzcNPL2wi1fpD4xEG2t -fXPrntO+P2NPd31Vs/xD82ptmiIKa5yYpR1oSKytpnxsn1tz7hlRVDr7+YrN -//yP2A8PyL6+qln+oXm1Nk0RhTVOzNIOAAAAAAAAAAAAAAAAAAAAdAEhVFXA -vCpgXhUwrxuI/6qCOv4L+V0gu6wK7HnNUBz/TeA/hOraWhXb0hWHW4JWVDBX -bfnXOPN02eUUUne+jvFf1Xuepjauo/m0qI7/JkeJicNmaq0KbumKwj1BKyqY -q7T8a5x5wuxyErk7X7/4r/o9T1MbJzRvePzXEReHzdRaFdzS/T8yzQsL5iot -/xpnnji7LHvnJxAb/zV/z5PVxkmyy6bHfxOIisNmaK0Kbul2Ide8KCdKy7/G -mafOLkve+QmExn8t2PN0tXGC7LIF8V+BWd5MrVXPLV31CVpRThSXf40zT5td -lr7zHUHrm8KOPU9VGxdpPj0aJWh9xGdNDKHKNi/KifLyr1eUm/eMXTvfhSDu -edYsleiToPUVnzUwhCrdvCgnysu/nlFt3iPW7fyMBHDPs2cpRKMQKln8V48Q -qkbmaUYQTDHRPNkUqYNMDF7bURvnM58BnUKoZH1SLUKoOpmnGUE2xTHKPNkU -ykHp0cx8sGrjLJSHUMn6pLqFUJWbpxlBNsUxyjzZFMpBTHQwH9jaeFqCEv/V -L4SqPkFrTeW2C2PMk02hHMSBevMBro17x5r4r3EhVGvisDCvcArlIP9Ys+fp -Z0nBmvivcSFUa+KwMK9wCuUg/1iz5+lnScKa+K9xIVRr4rAwr3AK5SD/WLPn -6WcBAAAAAAAAAAAAAAAAAAAIBkVOVcC8KmBeFTCvG+j/qgLmVcFrHtJEg/Ky -Zijt/7rWY72ROR5qWIVWnBPp8d8U1phPwo728kATh7XIPF15meDMQf/3MqwK -aqZ6rDcyx0ONq9A6opyQxH8tM8+O9nIjPQ5rkXni8rLkMwf93ytgVVDdGprc -uMRDjavQOoKc0MR/LTPPlsaN7DisTeaJy8uyz5wE6P8mYVZQXRqa/GSOhxpX -oU0gxAlN/Ncy80xp/MiOw1pknrq8LPnMSYD+bxJ2gtalocmNWzxUbPEzhWzz -IpzQxH+Fmlfd/+WRxo/kOKxVe562vCz9zHH4l5hjz6dHoxaq6gStt3iob2Be -knnl/V/P0tStb3D3PGuKWTuf8/95fs0L06aFqj5B6yUe6h+Yl2Zedf/XozSV -6xvUPc+eYtjOz+r816jIaU1r1bgWqoXm0f8lvL5j4J63Zgrfns+ATkVOy1qr -DGBepnn0fymvz0vwzFNOyfL3f7pQXuS0rLXKD8wLB/1fyutnQUDMU06Re/7b -0f/VMsQJ88JB/5fu+lkRCPOUU3yf/67Y0f81McQJ86qwwwzMB2GKXOzo/5oY -4oR5VdhhBuaDMEU2dvR/TQxxwrwq7DAD80GYAgAAAAAAAAAAAAAAAAAAIAsU -OVUB86qAeVXAvG6gQqsKVGhVQV2hxQp2gdNGM5RWaIWHSk0qciqt0MJ8BvMu -UV1PECRoGStokHmq0yaBiPU10HxaFFdoRXc/dShycqK4QgvzGcxnjup6Q36C -lrWChpknOG0SiFhfjcwbXqEV2/0kLXIaXqGF+bTmGW+EH/kJWq4VNMc8TfNa -yPoqMJ8e0yu0grufhEVO0yu0MJ/evPsb4Ud+gpZrBQ0yT9O8FrG+9ObTY0GF -Vmj3U1CRkwMLKrQ6mlff/2W8EW4oErQ8K2jOnqdpXotZX2Lz6dGoyEnT4mTN -IiuiBq5Cy5pC1kKVbd7bG1GdoKXEjtNG1PqqR58iJ02Lkz2LqogatAotewpV -C1W6eS9vRH2ClhBLThtR66scjYqcNC1OgllooaqaYmL/1wLtjoF7nuy0oTzW -PKNTkZOyUqq+iKqTefumGNT/tUk7A53MkwnRwjwHyouclJVSrYqoys3bN8Wg -/q9N2vlRbp5MiG7mMxGICi39LA7QQhWOMf1fu7TzE5TTRj/zWWFTpdSsIqdN -lVKYpx9BNkUg1pw2xplPj02VUrOKnDZVSmGefgTZFIFYc9oYZz4TNlVKzSpy -2lQphXn6EWRTBGLNaWOceQAAANbwX0GySQk= +1:eJztnX1sldUdx9lmtsX9MdQsmixN3CIoboiDDOl4aSsVBmGTFxcL6TZpxA51 +sAAqlswiMJiURRPBZYW6giXCeAkvIgzUJbohgpvOioIFCgVKsR1CW7i3vb33 +2X1ZB5R7n3Oe+5zzOy/P95NolDbP797POc/JU7j6+U7JzImPfLlXr16zvx7/ +28SpTxXMmjX16Um94//ysxmzp5fOmPbwmBlzppVOmzWk5CvxX/xp/K9e8e9P +/LMDAAAAEBA+ubl6zdrK+Y/Me/d8TPWLCRQwrwqYByDFhfefXvr3L6I0w6K4 +2y5Daj4F/CfhNQ9dwHK6WmvXTc/Lf2J3S9dVv9z8xoLJeXfd+s0bvtvv+4Mn +bzvblekCLCIN1ZNK3jnvOO0fzBjxi70Xrv5qLHT8ry+v3f569ZyBN954a9/b +b+9fuPhwKIsxnZ+/vXTM0PJPQs6lj58aMX5XS89bN9pau37lX3bvrimfumjf +BQ1u7AzmBTpJ4uZfyCpbZN5hbVdeSJww9om4WxhYSqiuaua8zQ1t9S8Nu2dp +XcflL0RDTc3h2KXa8gdXN0R8jYi17Jw09tXGLid8eNGQwg1NVz10xc6/M3vC +8iMdiduuauS4ndfcJp44/3bxqOXHQk3bSxbsb+1xpei5Nx/7yfKj8UnhQ4vy +p+xt9TNIABnNC3bi6l/YKtthPoHrdvWEbCesfSLuFgbaEjmzsegHxe9ld0/F +mndMGLHks7DjtO6dkv+7w+EeXw8fWlZUeazT3ytsf//RUUvil+46/Ur+kOSw +Kzj35sShz3ySeGTpqPtD4S/f9Xc2hD5dPO6ZfQfWVH/U835zomc3jx1ekbzb +L344q7Cs9pKvSY5E82KduPtPIGKV7TCfgKmLG9lOuPaJkFsYaEqkcdPDw76V +U5TlvdBZ/+Kw/FdOdzkXP1owftHBnpswcmLV6Cl7zvl7/Iw/RuXe93pLrOPo +nwru/Pl7rVc9T0WbNtyb+1ziPggf+ePk+f9q8zXKCR18tqD4t2uPpLmbWvc+ +2Ce3Jv5WnfZ/LyxecaTnY59X5JkX7MTVfwIhq2yF+QRMXfxIdsK1T4QsLtCT +zlMb572wo2LgbdneC05H/cqHihav21S1fNux0DWbJHLyzyP7jtnR7OcPKLsa +Xy24I+/e4t88W/H8/YPuX7a1/tKVcyKNG6dPmFv92raal/ec8vGslaL1wGO/ +qmlI97AT+rS8/7fvGVe+etuWtdV/a/L7PCTVvFAnDP+OmFUWZL7r7PbSX+93 +NSp5z7N18SN7N/LsE97F5TAP9KKzYX1Z5aEL9S8NYt4LHSd3PF+xsmZFad/r +v3rzqMcXrqnP+g8TPV4/1rLrgZEr6gX+/JnVe4mcqBw+ZJnvR8//oZF51hSR +/uWb7zq15r5xb32R+Rtkm/esi2A3kmwhpnmgFx3Ha8qq6kJO53HWvRBr3f/E +4LzKE51O+ND8fjf/aP0ZsR84dLt+4n7KfdL/7/jyzHIh/jN/7t1PfizmZehj +nj1FnH8S84xTSLp5j7oInNBsIZz/mhFp3FAyOq8HYx//R/d/qxI+urps9bHE +z3zMeyHa/NqPcwYknzbaDpR8b/gqwZ8FkH19slks5yk0Mm/NlMvmc++44aYB +Q2GeagSfeaAZ4c8q8gf0H5Dkzpzrv9a7z10FMz9sT/u9kZNVP7xlUHzjRJt3 +TX9gyQdtgpdW9vVVzUqPTubtm+L2FBpI82QbHs//hhJpWDW4j+uzUNvBdWWP +znlx/dYtbx29KH7/yL6+qllMlJu3bwrnKRQc82QbHue/oTDuhWjLrof65dz0 +jeu+FOe63gNn+/04IfH1Vc3iQLF5+6aIOv+tcUK44XH+20jnmZ2/X7jpROqz +YbHIuQMvzN0nco1lX1/VLP/QvFqbpojCGidmaQfa0dW0afRthVs+T31iINpW +98bWPad9f8ae7vqqZvmH5tXaNEUU1jgxSzvQkFh7bcX4frfk3D2qqHTuc5Wb +//kfsR8ekH19VbP8Q/NqbZoiCmucmKUdAAAAAAAAAAAAAAAAAAAA6AJCqKqA +eVXAvCpgXjcQ/1UFdfwX8rtBdlkV2POaoTj+m8B/CNW1tSq2pSsOtwStqGCu +2vKvcebpsssppO58HeO/qvc8TW1cR/NpUR3/TY4SE4fN1FoV3NIVhXuCVlQw +V2n51zjzhNnlJHJ3vn7xX/V7nqY2Tmje8PivIy4Om6m1Kril+39kmhcWzFVa +/jXOPHF2WfbOTyA2/mv+nierjZNkl02P/yYQFYfN0FoV3NLtRq55UU6Uln+N +M0+dXZa88xMIjf9asOfpauME2WUL4r8Cs7yZWqueW7rqE7SinCgu/xpnnja7 +LH3nO4LWN4Ude56qNi7SfHo0StD6iM+aGEKVbV6UE+XlX68oN+8Zu3a+C0Hc +86xZKtEnQesrPmtgCFW6eVFOlJd/PaPavEes2/kZCeCeZ89SiEYhVLL4rx4h +VI3M04wgmGKiebIpUgeZGLy2ozbOZz4DOoVQyfqkWoRQdTJPM4JsimOUebIp +lIPSo5n5YNXGWSgPoZL1SXULoSo3TzOCbIpjlHmyKZSDmOhgPrC18bQEJf6r +XwhVfYLWmsptN8aYJ5tCOYgD9eYDXBv3jjXxX+NCqNbEYWFe4RTKQf6xZs/T +z5KCNfFf40Ko1sRhYV7hFMpB/rFmz9PPkoQ18V/jQqjWxGFhXuEUykH+sWbP +088CAAAAAAAAAAAAAAAAAAAQDIqcqoB5VcC8KmBeN9D/VQXMq4LXPKSJBuVl +zVDa/3Wtx3ojczzUsAqtOCfS478prDGfhB3t5YEmDmuRebryMsGZg/7vZVgV +1Ez1WG9kjocaV6F1RDkhif9aZp4d7eVGehzWIvPE5WXJZw76v1fAqqC6NTS5 +cYmHGlehdQQ5oYn/WmaeLY0b2XFYm8wTl5dlnzkJ0P9NwqygujQ0+ckcDzWu +QptAiBOa+K9l5pnS+JEdh7XIPHV5WfKZkwD93yTsBK1LQ5Mbt3io2OJnCtnm +RTihif8KNa+6/8sjjR/JcVir9jxteVn6mePwLzHHnk+PRi1U1Qlab/FQ38C8 +JPPK+7+epalb3+DuedYUs3Y+5//z/JoXpk0LVX2C1ks81D8wL8286v6vR2kq +1zeoe549xbCdn9X5r1GR05rWqnEtVAvNo/9LeH3HwD1vzRS+PZ8BnYqclrVW +GcC8TPPo/1Jen5fgmaeckuXv/3SjvMhpWWuVH5gXDvq/lNfPgoCYp5wi9/y3 +o/+rZYgT5oWD/i/d9bMiEOYpp/g+/12xo/9rYogT5lVhhxmYD8IUudjR/zUx +xAnzqrDDDMwHYYps7Oj/mhjihHlV2GEG5oMwBQAAAAAAAAAAAAAAAAAAQBYo +cqoC5lUB86qAed1AhVYVqNCqgrpCixXsBqeNZiit0AoPlZpU5FRaoYX5DOZd +orqeIEjQMlbQIPNUp00CEetroPm0KK7Qiu5+6lDk5ERxhRbmM5jPHNX1hvwE +LWsFDTNPcNokELG+Gpk3vEIrtvtJWuQ0vEIL82nNM94IP/ITtFwraI55mua1 +kPVVYD49pldoBXc/CYucpldoYT69efc3wo/8BC3XChpknqZ5LWJ96c2nx4IK +rdDup6AiJwcWVGh1NK++/8t4I9xQJGh5VtCcPU/TvBazvsTm06NRkZOmxcma +RVZEDVyFljWFrIUq27y3N6I6QUuJHaeNqPVVjz5FTpoWJ3sWVRE1aBVa9hSq +Fqp0817eiPoELSGWnDai1lc5GhU5aVqcBLPQQlU1xcT+rwXaHQP3PNlpQ3ms +eUanIidlpVR9EVUn8/ZNMaj/a5N2BjqZJxOihXkOlBc5KSulWhVRlZu3b4pB +/V+btPOj3DyZEN3MZyIQFVr6WRyghSocY/q/dmnnJyinjX7ms8KmSqlZRU6b +KqUwTz+CbIpArDltjDOfHpsqpWYVOW2qlMI8/QiyKQKx5rQxznwmbKqUmlXk +tKlSCvP0I8imCMSa08Y48wAAAKzhv+R5Sb0= "], {{0, 78}, {512, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -1582,7 +1582,7 @@ lVKYpx9BNkUg1pw2xplPj02VUrOKnDZVSmGefgTZFIFYc9oYZz4TNlVKzSpy ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[2]=", - CellID->1815562078] + CellID->249793213] }, Open ]], Cell[CellGroupData[{ @@ -1673,120 +1673,120 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQlUFFe6x817OXPeS945ifrmxHmOL9EYDSYuEU+UqICCuMSM6xzFoxnl -TGJcRkdxwTgjLgxEMdE8cZKAGFRIXCJx1+CS9wyDKCYuoKIIBFQWQcVm6W56 -e90QR9TuquqqW7du3f7/zklOFrxf9f9+dbldXV2/jhFzx77/L61atYr8N+ff -xk5bPGj+/GlLxj3v/Jffz4mcMX3Oe38cPmfBe9Pfm98v4l+d/3Gx869Wzp93 -/bMDAAAAkIjdYtf6EAAAANDEbi7LTJo3rM/ozBqtDwUAAAA97KbbN8ty5nX+ -TdhJrP8AAOBjmK7GdGuP9R8AAHwOrP8AAOCbYP0HAADfBOs/AAD4Jlj/gTdY -6u6ZcbcwAHxguroK6z+jmG6kp2xNS1z+/tJTNRqvuY0lScNee/nlzl0HLPqp -VttD8QhDcQGgAxqrLhxeHdjm2Vcid2YX1tsUjWUqzdidZ5B53tlwvrrh/tkl -azLvKZsWMtT+tOKDr3JrrA//i92Qtzuj1KTdIT0J1bjQsQA8wF57ft38HTcb -vfgjltKUcRE/ON931J2bE/hu1n15hRtvn1wzvH/0ZaOjIW9x4Ogj1fJPS5sh -d0fSzoyM1OhpMdn35Y1jN/783ea0/YdSFvRu0+alLl27dg+NvWqUeUBWQ+72 -GUHBCzOqreI/7HaAqmMrw4N6vPRc605+r78Zvq9S5jgOU3HSzFEBHdt2HLb8 -f+88GKTx5s75687XMrMOeoiLWAgiHUts6kVbmkSjAkCOxpIv3425WO/NH7FX -Hx434usyq+sDiH6huyrkb9tqTk4OSygyVuyPWHlG7vsP50l19/isdxIKzc7F -Lj8meFKWQcYY9pofIsckXDe7lorkkJGHFfwychgLkucuTS+tLf77gL5rCsxy -hrAZK6pM9obc6AlbSi3yj+SfWG4fi+rj98ecf17/qb8Y8+6XJd780lcNj3GR -C0GwY0lOvXBLk2hUAAhizI/73YpL3u116s7ODIu7anJYb20L7hd3TcGFBOOV -2JHLsnO2plyUv/o7bJXpIwbGNy0c9efnh36Y2yBjkLvHx/ZfdtmVg7ng49A/ -nJJ/atqrDo4JbErFkDUp+G9X5cdjyl87MbGI0Bptq/x2aFiLlc94acU7cfly -3980YW8o2DZncJdf/0frjgNmbbnWIGsKxeIiEoJgx5KbehcCLU2kUQHwCntt -waECT2/1TQWrA0efuOfVgM49VMCQQ9V2c+EXg7pNOW1QcNXWuQgNmvzXtOuK -TgRD1oRXAlJvWZ2n+YVVkzdel7PhtlXsGhyw2nVqmq5/Fr5cyeekjcUbBgRv -cx5O/cWVo2MuyX9plpJNQycdvavwIoG90WxrPqzECbEtf9HfOzEqUOa7k2Ya -Ln8yd2N2pbnxztmNv2v3XE95g4nERSQEwY4lOPUuBFqaRKMC4A2NN3dN7RGc -Xul+kbbd3hPyxtwLXl39sZZ9PejVoMGT/7wift0o/1Fr9xbL2/i5MOTM+iC1 -VNnmznglunv7viOjt+zbk5byfYXMwSxl38wYE5VyYF/q5qM3lX00ai5Omjox -dvvu5IR9RUYFC5flxpchXYYfrBL7/brYHeXl5U3/s/7igoBuIbM/TdmyeU9B -fcujqb8w540h+6uEDtBauX/6n8542A83Vnx/rPyXJaz+/OxO7d/JlPVBkHBc -UkMQQqRjCU69Q6ilvWlUweQBkIa9/trWGR2f7/he3Oc7r1Tmfbtq0qCQFRsj -h3X8bdiOcqtrs7KkR+/H3w8bi76aHfhi6/8e9vFl1ybGXnth/dKkwgc7R3v1 -kfEhG4ulLbPCQ0lEeBBLSeLAfmul7KWIHAzBoTQexHQttnevZVeEftR6c+uQ -kVLeHdbmTPML+Fzw4wTzjYPr4pNSN07v8syvXgibvWprsaJrT16M71XHKqwl -gPRGdXiRPPBFQp+gqKjI7U9ay7f3bR/wy/7/Tkbwr9uH7y2vu5V7pemGQEP2 -hJd7b3jk1DCV7tqUWWW+f/ovPTuHZxkcllupI4Njr7Q8mQIWSbtyKTKUNEQG -aSzeENBrUZ748RA5GHqvS/1BnMn5vzLljNDlDomrkP3eyZkhkZkCN+7bDWcW -vhmU6PwFYcpf7vfCWzvKyd7qKTS+Nx2rtJYAkhu1Caz/vomlbFfE0KDHGDH7 -H7K/FPPI+l9zMuy3PdcXPdyC3M98+0X/L0oeubnC1tj0s5YbmwPf+rSwOnvR -8A9Py/x0lshQpI6Hy9elYBBLyed9Oo1xdw/KwyYMeLV12579hZvQdi8rbl5y -vtBFQFvVgWEdejbtfWtzIl4buInIPU30xqdWy7vkARBDeP03nBrXyf+zn92+ -Na49PTUocueqcCV3ZpIcitTxcPm6ZAzSWJzg3zn8tLL9v72h4KvVyRdEilpK -k/u083eulLaqIzPGx50j/cUDtcenXwv7f0AEW2V6wH/5J99otJltzev/usKH -63/DxXmv9/mk0O01yfrzc1/rFvLRxXqvGtx6L+ebb8/VPPpFHW+HIjIIwXFI -DcXOIA7XzY5r/HsIX5AQW4XMN/atSzxT07S3sNXk7Tlc5v7qtq02b/uSmQs2 -7Ni750Shd7lLQu3x6dfC+g/IYCr6NOzFTm8v/Px40fmdczs/+59D1h+/VvfL -JUtrWVqg/9LLbq8X11+IGh3v9e2LNZlTunadcvLRN6zeDkVkEILjkBqKnUGc -NOQueCNI+OK14CpkrTo0o+u/P9XqF556pke8+w83bdVHpvp1aPvs0085efr5 -3pGEn0Kk9vha1ML6D2jQkBc1cEq2u2vA5TunjtlxS/YX7kkPRep4uHxdsga5 -nzn+rSipn0fKp7H88Eerdpc032Jmt9zNWR+VTXJdU3t8rWoBQIG6H+eNiH/i -K7y2qgMTOvf5HxLfPSUyFKnj4fJ1yRvEXPDJ2/N/rFNSWALWit1DO4fuud38 -LsNWW3Bs79FbBJ88p/b4WtUCgA4Nl2LHxuc/2sb2O98N7z5uZzmBOxuIDEXq -eLh8XfIGMRd+NvEjBV9Oloi9Ljd+tF+7Dr3CJk6PWp2Y/uMdsnfmqD2+VrUA -EILIo1easVZ9t2j+UUVfsAQ6w3bn//7yYUYViatgAADKkHn0ygNsNTmbU84r -vhsS6AR7bW7alrM1+I0PgB4h9egVAAAA+kXCo1cAAABwh/ijVwAAAPCHhEev -AAAA4A1pj14BAADAF1IfvQIAAIAjJD96BQAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAusZ0Iz1la1ri8veXnsLTg6iC5LUCyQPQzP2zS9Zk3qP6DHgb -zjkXVJNH5i2g3fMIHzCK1ZC7fUZQ8MKM6sckUHbjz99tTtt/KGVB7zZtXurS -tWv30NirRrllLKUp4yJ+qHE46s7NCXw36xFLgbXq2MrwoB4vPde6k9/rb4bv -q5Sjo2q8fXLN8P7Rl42OhrzFgaOPVD9+ytkMuTuSdmZkpEZPi8m+z8AJ6SF5 -Imk0IZR5M8ozEYydbAuRw2PPuyDUJ9o2PKvJA6YwFiTPXZpeWlv89wF9H1WH -2Wt+iByT4HqYhKU0OWTk4SeWU++wVx8eN+LrMqvDdDWmX+iuipZbL5uxospk -b8iNnrClVJFItebk5LCEImPF/oiVZx5/Gp7t7vFZ7yQUOl+PKT8meFKWQUkh -AnhMnlgagpk3lyKTiafYCbcQKTz3vAtSfaJpwzOaPCAGEe2vvergmMC4ayaH -w5A1KfhvV1u63+8eH9t/2WXXjsFc8HHoH04pXC/rzs4Mi3MWsN7aFtyvqeRj -mPLXTkwsUiavMV6JHbksO2drysUnnoVqq0wfMTC+6WyvPz8/9MNc2cJz1ZN3 -QSIN0cxJZeIpdsItRCV5Yn2iacOTTh4wBhntb2PxhgHB225ZHfUXV46OudSy -1W0VuwYHrHaNarr+Wfjyn2qVHa9zExQw5FC13Vz4xaBuU04bntiKWko2DZ10 -9K6yfYrx0opBk/+adt3NOWvImvBKQKrzpTrqLqyavFH+Q/JUT94FkTREMyeV -iYfYCbcQneRJZaJpw5NOHjAGKe2vuThp6sTY7buTE/YVGR9tRUvZNzPGRKUc -2Je6+ejNJ3cv3mEt+3rQq0GDJ/95Rfy6Uf6j1u4tfnzzZrnxZUiX4QerFH0k -Z8iZ9UFqqbstlfFKdPf2fUdGb9m3Jy3l+wr5uy4KyTvIpCGaObFMPMVOtIXo -JE8qE40bnmzygGUkaH/NNw6ui09K3Ti9yzO/eiFs9qqtxWp8EuS5ir36yPiQ -jcVEzMSyXoulJHFgv7Wkn4zNQPIKMvcuEzotJBW1kieVieYND3wEce2v3XBm -4ZtBic6TxZS/3O+Ft3aUq3Hbm1AV19kQsEj+FXdpVQRwvucP6LUoj8ABtDwW -zZNXlLk3mdBpIcmoljypTDRveOAbSND+2qoODOvQs2lPU5sT8drATQpvKuG2 -iqVsV8TQoMcYMfsf7pcZBpKnkzmFQrpLnk4JClW8Sx4whTTtr6U0uU87f2fj -2KqOzBgfd65WlanlqYo4bCRPLQ1WYnewkjydEtSqAB0iVftrq83bvmTmgg07 -9u45UVivVv/wVEUMVpKnlgYbsTvYSZ5OCWpVgN6QrP21VR+Z6teh7bNPP+Xk -6ed7R6pyLxhPVURgJnlqaTARu4Oh5OmUoFYFcEtj+eGPVu0uab4BzG65m7M+ -KvseqlBA7aOlloa+YndQOWA0PNAB1ordQzuH7rndfMeArbbg2N6jt4jfDMxT -FVKofbTU0tBX7A4qB4yGB7rAXpcbP9qvXYdeYROnR61OTP/xjhq3KPBUhRRq -Hy21NPQVu4PKAaPhAQAAAAAAAAAAAAAAAAAAANPAhaoVSF4rkDwAzcD/qxWw -0GoFzMsANMGA/7cZVV205KS65NDaQktwivlIno55WVRULR3PTQL/L5AAE/7f -JtR10ZKT6pJCewst4SnWf/L0zMtComrpeG4S+H95hzf/r9ouWhdEpLocWWjJ -TjEfydMxLwtlJRmBJoH/l3O48/+q7KJ1QcS4ypGFlvAU85E8HfOyQFbS8dwk -8P9yDnf+X9VdtA7pxlVr5f7pfzrjYcvEk4WWrCWWi+TpmJeFspKMUJN4PbOC -yQOWYcBCK1ZFXy5a682tQ0aekPCoRV+y0IrVIoLmyXuB1vJfskpryckDttDe -QiteRWcuWonngg9ZaMVrkUHr5CWjvfyXsNIa678uYcOFSq2KqoUeulADXm3d -tmd/WGhp1dJd8tycU94lD5iCGRcqtSp0ConvhZhJnqYfFslTG59mlWaw/9cb -DLlQqVWhU0jsXGAoeZp+WCRPbXyaVZrB+q8rWHKhUqtCq5DgucBS8jT9sEie -2vg0qzwA6z+PcCYq1ZERlRsLLf1aCuHDvKyjwAGjcCYq1ZERlRsLLf1aCuHD -vKyjwAGzcCYq1ZERlRsLLf1aCuHDvKyjwAEAAAAAAAAAAAAAAAAAAABzwIWq -FUheK5C8ViB51oALVSukJo/QSAPntVZgtWEMDy5UcpZSIRcqQTms/lyoQv5f -cV2yFOhoeTlKnp7zmoIFWEfmZTqrDfGG1FPybhG00JKxlAq5UMkZV3XnQhX2 -/4rqkiWjupaXo+QpO69VtgDryLzsQv3VhvT8apk8DRcqEUupqAuViHGVoguV -ioVWNDTJqK3l5Sl5ys5rtS3ALvRjXqaw2pCdXyrJe4CKC5WIpVTUhUrEuErP -hUoledHQpKO2lpej5Gk7r1W2ALvQkXlZ/dWG8PzSSN4DdFyoJCyl4i5UEsZV -oi5UQagkLx6adAhoeYWgZ6HlznmtugXYQWaK+VltiM4voeQVm5fhQiXsQpWM -Wsl7HZp286uRhZaBnherwmnnM5A8G8JrUskrfPI2XKjEXahSj0it5L0MTcv5 -1cZCq33Pi1fhs/O1T54V4TWx5BWt/3ChkuOhC7UFLFto6VRhzkLrM8lTqKK7 -nudDeO0gYl6GC1Ur2EieThW2LLS+lDzNKuKwkTxnwmuH/P0/XKhawUrydKqw -ZKH1reRpVhGDleQ5E147ZK7/cKGqUEUSzCRPpwpDFlofS55mFRGYSZ474bVD -XfMyXKhawUcySN4XqpCCp27UV/LugQtVK/hIBsn7QhVS8NSN+kreE3ChagUf -ySB5X6hCCp66UV/JAwAAAAAAAAAAAAAAAAAAPA6MnFqB5LUCyWsFkmcNWGi1 -graFFjP4AFhotQKrDWNoaqH1aSOnUPICUl2voKCgFZlBHSVPy0LrgsT88pN8 -ExRWGxc+mrxbNLbQ8mTk9BLh5D1Ldb1DfQWt2AzqLHkKFloXJOaXs+QprDYu -OEmeEwutDo2cNJIXeSHSUV9BK2kG9ZM8Hec1kfnlLHk6zmu9Je8BTiy0OjRy -Ukle+IVIR30FraQZ1FHydJzXJOaXt+TpOK91lrwHuLHQsmjkFIRK8iIvRDI0 -FLRSZpCIC5UbCy2p+SWZvCDcrDa6S14KPmOhFavCjQvVuxeitYKWIHry/yqI -ndT8aoG+Vxs9J+8eX7HQilfhxoXqzQvRXkFLEt34fxXFTmp+NUDnq42Ok3cP -A0ZObqrozoVKpwSFKrrz/1Kz0NJLXj89T6cKTdGwTNgwcvJXRRxmkucsdr34 -f6kFwkrDO1hJnloVhpJ3DytGTv6qiMFQ8pzFrhf/L7VA2Gh4BzvJU6vCTPJu -YcbIyV8VEVhKnrvY9eH/pRYIEw3vYCh5alVYSV4hPFlK9WXkpHC0iN0t3Fho -kbxWVXSXvHt4spTqy8hJ4WgRu1u4sdAiea2q6C55T/BkKdWXkZPC0SJ2t3Bj -oUXyWlXRXfIAAAAAAAAAXfP/iMuSpg== +1:eJztnQlUVFeax81MTp+ZZM5J1OkTZ2wn0RgNJi4RO0pUQEFcYtp1juLRtHI6 +MS6trbgQ7RYXGqKYaEbtJCAGFRKXSNw1uGTG0Ihi4gIqikAAZRFULJaqorap +gtiiVr336r377rvv1v93TnKy4P1e/e/3LrdevXq/jhFzx77/T61atYr8F+ff +xk5bPGj+/Gkfjnve+S//PSdyxvQ57/1h+JwF701/b36/iH92/sfFzr9aOX/e +9c8OAAAAQCJ2i13rQwAAAEATu7ksI3HesD6jM2q0PhQAAAD0sJtu3yzLntf5 +P8JOYf0HAAAfw3Qtplt7rP8AAOBzYP0HAADfBOs/AAD4Jlj/AQDAN8H6D7zB +UnfPjLuFAeAD07VVWP8ZxVSalrwtNWH5+0tP12i85jYWJw577eWXO3cdsOin +Wm0PxSMMxQWADmisunhkdWCbZ1+J3JVVUG9TNJapJH1PrkHmeWfD+eqG++c+ +XJNxT9m0kKH2pxUffJVTY334X+yG3D3pJSbtDulJqMaFjgXgAfbaC+vm77zZ +6MUfsZQkj4v4wfm+o+78nMB3M+/LK9x4+9Sa4f2jrxgdDbmLA0cfrZZ/WtoM +OTsTd6Wnp0RPi8m6L28cu/Hn77akHjicvKB3mzYvdenatXto7DWjzAOyGnJ2 +zAgKXphebRX/YbcDVB1fGR7U46XnWnfye/3N8P2VMsdxmIoSZ44K6Ni247Dl +/3vnwSCNN3fNX3ehlpl10ENcxEIQ6VhiUy/a0iQaFQByNBZ/+W7MpXpv/oi9 ++si4EV+XWV0fQPQL3V0hf9tWc2py2MZCY8WBiJVn5b7/cJ5Ud0/Memdjgdm5 +2OXFBE/KNMgYw17zQ+SYjTfMrqUiKWTkEQW/jBzG/KS5S9NKaov+NqDvmnyz +nCFsxooqk70hJ3rC1hKL/CP5B5bbx6P6+P0h+x/Xf+ovxbz7ZbE3v/RVw2Nc +5EIQ7FiSUy/c0iQaFQCCGPPifrfisnd7nbpzM8Pirpkc1lvbg/vFXVdwIcF4 +NXbksqzsbcmX5K/+Dltl2oiB8U0LR/2F+aFLchpkDHL3xNj+y664cjDnfxz6 ++9PyT0171aExgU2pGDInBf/1mvx4THlrJyYUElqjbZXfDg1rsfIZL694Jy5P +7vubJuwN+dvnDO7y639r3XHArK3XG2RNoVhcREIQ7FhyU+9CoKWJNCoAXmGv +zT+c7+mtvil/deDok/e8GtC5hwoYcrjabi74YlC3KWcMCq7aOhehQZP/knpD +0YlgyJzwSkDKLavzNL+4avKmG3I23LaK3YMDVrtOTdONz8KXK/mctLFow4Dg +7c7Dqb+0cnTMZfkvzVK8eeikY3cVXiSwN5ptzYeVMCG25S/6eydHBcp8d9JM +w5VP5m7KqjQ33jm36XftnuspbzCRuIiEINixBKfehUBLk2hUALyh8ebuqT2C +0yrdL9K223tD3ph70aurP9ayrwe9GjR48p9WxK8b5T9q7b4ieRs/F4bsWR+k +lCjb3BmvRndv33dk9Nb9e1OTv6+QOZil7JsZY6KSD+5P2XLsprKPRs1FiVMn +xu7Yk7Rxf6FRwcJlKf0ypMvwQ1Viv18Xu6O8vLzpf9ZfWhDQLWT2p8lbt+zN +r295NPUX57wx5ECV0AFaKw9M/+NZD/vhxorvj5f/soTVX5jdqf07GbI+CBKO +S2oIQoh0LMGpdwi1tDeNKpg8ANKw11/fNqPj8x3fi/t819XK3G9XTRoUsmJT +5LCOvwnbWW51bVY+7NH78ffDxsKvZge+2Pq/hn18xbWJsddeXL80seDBztFe +fXR8yKYiacus8FASER7EUpwwsN9aKXspIgdDcCiNBzFdj+3da9lVoR+13tw2 +ZKSUd4e12dP8Aj4X/DjBXHpoXXxiyqbpXZ751Qths1dtK1J07cmL8b3qWIW1 +BJDeqA4vkge+SOgTFBYWuv1Ja/mOvu0Dftn/30kP/nX78H3ldbdyrjbdEGjI +mvBy7w2PnBqmkt2bM6rM98/8uWfn8EyDw3IrZWRw7NWWJ1PAImlXLkWGkobI +II1FGwJ6LcoVPx4iB0Pvdak/iDM5/1emnBW63CFxFbLfOzUzJDJD4MZ9u+Hs +wjeDEpy/IEx5y/1eeGtnOdlbPYXG96ZjldYSQHKjNoH13zexlO2OGBr0GCNm +/132l2IeWf9rToX9puf6wodbkPsZb7/o/0XxIzdX2BqbftZSuiXwrU8LqrMW +DV9yRuans0SGInU8XL4uBYNYij/v02mMu3tQHjZhwKut2/bsL9yEtprMuHlJ +eUIXAW1VB4d16Nm0963Njnht4GYi9zTRG59aLe+SB0AM4fXfcHpcJ//Pfnb7 +1rj2zNSgyF2rwpXcmUlyKFLHw+XrkjFIY9FG/87hZ5Tt/+0N+V+tTrooUtRS +mvTbdv7OldJWdXTG+LjzpL94oPb49Gth/w+IYKtMC/hP/6TSRpvZ1rz+ryt4 +uP43XJr3ep9PCtxek6y/MPe1biEfXar3qsGt97K/+fZ8zaNf1PF2KCKDEByH +1FDsDOJw3ey4xr+H8AUJsVXIXLp/XcLZmqa9ha0md++RMvdXt221l3csmblg +w859e08WeJe7JNQen34trP+ADKbCT8Ne7PT2ws9PFF7YNbfzs/8+ZP2J63W/ +XLK0lqUG+i+94vZ6cf3FqNHxXt++WJMxpWvXKacefcPq7VBEBiE4Dqmh2BnE +SUPOgjeChC9eC65C1qrDM7r+61OtfuGpZ3rEu/9w01Z9dKpfh7bPPv2Uk6ef +7x1J+ClEao+vRS2s/4AGDblRA6dkubsGXL5r6pidt2R/4Z70UKSOh8vXJWuQ ++xnj34qS+nmkfBrLj3y0ak9x8y1mdsvd7PVRWSTXNbXH16oWABSo+3HeiPgn +vsJrqzo4oXOf/yHx3VMiQ5E6Hi5fl7xBzPmfvD3/xzolhSVgrdgztHPo3tvN +7zJstfnH9x27RfDJc2qPr1UtAOjQcDl2bHzeo21sv/Pd8O7jdpUTuLOByFCk +jofL1yVvEHPBZxM/UvDlZInY63LiR/u169ArbOL0qNUJaT/eIXtnjtrja1UL +ACGIPHqlGWvVd4vmH1P0BUugM2x3/u/PS9KrSFwFAwBQhsyjVx5gq8neknxB +8d2QQCfYa3NSt56rwW98APQIqUevAAAA0C8SHr0CAACAO8QfvQIAAIA/JDx6 +BQAAAG9Ie/QKAAAAvpD66BUAAAAcIfnRKwAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAA0DWm0rTkbakJy99fehpPD6IKktcKJA9AM/fPfbgm4x7VZ8Db +cM65oJo8Mm8B7Z5H+IBRrIacHTOCghemVz8mgbIbf/5uS+qBw8kLerdp81KX +rl27h8ZeM8otYylJHhfxQ43DUXd+TuC7mY9YCqxVx1eGB/V46bnWnfxefzN8 +f6UcHVXj7VNrhvePvmJ0NOQuDhx9tPrxU85myNmZuCs9PSV6WkzWfQZOSA/J +E0mjCaHMm1GeiWDsZFuIHB573gWhPtG24VlNHjCFMT9p7tK0ktqivw3o+6g6 +zF7zQ+SYja6HSVhKkkJGHnliOfUOe/WRcSO+LrM6TNdi+oXurmi59bIZK6pM +9oac6AlbSxSJVGtOTQ7bWGisOBCx8uzjT8Oz3T0x652NBc7XY8qLCZ6UaVBS +iAAekyeWhmDmzaXIZOIpdsItRArPPe+CVJ9o2vCMJg+IQUT7a686NCYw7rrJ +4TBkTgr+67WW7ve7J8b2X3bFtWMw538c+vvTCtfLunMzw+KcBay3tgf3ayr5 +GKa8tRMTCpXJa4xXY0cuy8relnzpiWeh2irTRgyMbzrb6y/MD12SI1t4rnry +LkikIZo5qUw8xU64hagkT6xPNG140skDxiCj/W0s2jAgePstq6P+0srRMZdb +trqtYvfggNWuUU03Pgtf/lOtsuN1boIChhyutpsLvhjUbcoZwxNbUUvx5qGT +jt1Vtk8xXl4xaPJfUm+4OWcNmRNeCUhxvlRH3cVVkzfJf0ie6sm7IJKGaOak +MvEQO+EWopM8qUw0bXjSyQPGIKX9NRclTp0Yu2NP0sb9hcZHW9FS9s2MMVHJ +B/enbDl288ndi3dYy74e9GrQ4Ml/WhG/bpT/qLX7ih7fvFlKvwzpMvxQlaKP +5AzZsz5IKXG3pTJeje7evu/I6K3796Ymf18hf9dFIXkHmTREMyeWiafYibYQ +neRJZaJxw5NNHrCMBO2vufTQuvjElE3TuzzzqxfCZq/aVqTGJ0Geq9irj44P +2VRExEws67VYihMG9ltL+snYDCSvIHPvMqHTQlJRK3lSmWje8MBHENf+2g1n +F74ZlOA8WUx5y/1eeGtnuRq3vQlVcZ0NAYvkX3GXVkUA53v+gF6LcgkcQMtj +0Tx5RZl7kwmdFpKMasmTykTzhge+gQTtr63q4LAOPZv2NLXZEa8N3KzwphJu +q1jKdkcMDXqMEbP/7n6ZYSB5OplTKKS75OmUoFDFu+QBU0jT/lpKk37bzt/Z +OLaqozPGx52vVWVqeaoiDhvJU0uDldgdrCRPpwS1KkCHSNX+2mov71gyc8GG +nfv2niyoV6t/eKoiBivJU0uDjdgd7CRPpwS1KkBvSNb+2qqPTvXr0PbZp59y +8vTzvSNVuReMpyoiMJM8tTSYiN3BUPJ0SlCrArilsfzIR6v2FDffAGa33M1e +H5V1D1UooPbRUktDX7E7qBwwGh7oAGvFnqGdQ/febr5jwFabf3zfsVvEbwbm +qQop1D5aamnoK3YHlQNGwwNdYK/LiR/t165Dr7CJ06NWJ6T9eEeNWxR4qkIK +tY+WWhr6it1B5YDR8AAAAAAAAAAAAAAAAAAAAIBp4ELVCiSvFUgegGbg/9UK +WGi1AuZlAJpgwP/bjKouWnJSXXJobaElOMV8JE/HvCwqqpaO5yaB/xdIgAn/ +bxPqumjJSXVJob2FlvAU6z95euZlIVG1dDw3Cfy/vMOb/1dtF60LIlJdjiy0 +ZKeYj+TpmJeFspKMQJPA/8s53Pl/VXbRuiBiXOXIQkt4ivlIno55WSAr6Xhu +Evh/OYc7/6/qLlqHdOOqtfLA9D+e9bBl4slCS9YSy0XydMzLQllJRqhJvJ5Z +weQByzBgoRWroi8XrfXmtiEjT0p41KIvWWjFahFB8+S9QGv5L1mlteTkAVto +b6EVr6IzF63Ec8GHLLTitcigdfKS0V7+S1hpjfVfl7DhQqVWRdVCD12oAa+2 +btuzPyy0tGrpLnluzinvkgdMwYwLlVoVOoXE90LMJE/TD4vkqY1Ps0oz2P/r +DYZcqNSq0Ckkdi4wlDxNPyySpzY+zSrNYP3XFSy5UKlVoVVI8FxgKXmaflgk +T218mlUegPWfRzgTlerIiMqNhZZ+LYXwYV7WUeCAUTgTlerIiMqNhZZ+LYXw +YV7WUeCAWTgTlerIiMqNhZZ+LYXwYV7WUeAAAAAAAAAAAAAAAAAAAACAOeBC +1QokrxVIXiuQPGvAhaoVUpNHaKSB81orsNowhgcXKjlLqZALlaAcVn8uVCH/ +r7guWQp0tLwcJU/PeU3BAqwj8zKd1YZ4Q+opebcIWmjJWEqFXKjkjKu6c6EK ++39FdcmSUV3Ly1HylJ3XKluAdWRedqH+akN6frVMnoYLlYilVNSFSsS4StGF +SsVCKxqaZNTW8vKUPGXntdoWYBf6MS9TWG3Izi+V5D1AxYVKxFIq6kIlYlyl +50KlkrxoaNJRW8vLUfK0ndcqW4Bd6Mi8rP5qQ3h+aSTvATouVBKWUnEXKgnj +KlEXqiBUkhcPTToEtLxC0LPQcue8Vt0C7CAzxfysNkTnl1Dyis3LcKESdqFK +Rq3kvQ5Nu/nVyELLQM+LVeG08xlIng3hNankFT55Gy5U4i5UqUekVvJehqbl +/GpjodW+58Wr8Nn52ifPivCaWPKK1n+4UMnx0IXaApYttHSqMGeh9ZnkKVTR +Xc/zIbx2EDEvw4WqFWwkT6cKWxZaX0qeZhVx2EieM+G1Q/7+Hy5UrWAleTpV +WLLQ+lbyNKuIwUrynAmvHTLXf7hQVagiCWaSp1OFIQutjyVPs4oIzCTPnfDa +oa55GS5UreAjGSTvC1VIwVM36it598CFqhV8JIPkfaEKKXjqRn0l7wm4ULWC +j2SQvC9UIQVP3aiv5AEAAAAAAAAAAAAAAAAAAB4HRk6tQPJageS1AsmzBiy0 +WkHbQosZfAAstFqB1YYxNLXQ+rSRUyh5AamuV1BQ0IrMoI6Sp2WhdUFifvlJ +vgkKq40LH03eLRpbaHkycnqJcPKepbreob6CVmwGdZY8BQutCxLzy1nyFFYb +F5wkz4mFVodGThrJi7wQ6aivoJU0g/pJno7zmsj8cpY8Hee13pL3ACcWWh0a +OakkL/xCpKO+glbSDOooeTrOaxLzy1vydJzXOkveA9xYaFk0cgpCJXmRFyIZ +GgpaKTNIxIXKjYWW1PySTF4QblYb3SUvBZ+x0IpV4caF6t0L0VpBSxA9+X8V +xE5qfrVA36uNnpN3j69YaMWrcONC9eaFaK+gJYlu/L+KYic1vxqg89VGx8m7 +hwEjJzdVdOdCpVOCQhXd+X+pWWjpJa+fnqdThaZoWCZsGDn5qyIOM8lzFrte +/L/UAmGl4R2sJE+tCkPJu4cVIyd/VcRgKHnOYteL/5daIGw0vIOd5KlVYSZ5 +tzBj5OSviggsJc9d7Prw/1ILhImGdzCUPLUqrCSvEJ4spfoyclI4WsTuFm4s +tEheqyq6S949PFlK9WXkpHC0iN0t3FhokbxWVXSXvCd4spTqy8hJ4WgRu1u4 +sdAiea2q6C55AAAAAAAAgK75f0zfk2o= "], {{0, 119}, {512, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -1800,7 +1800,7 @@ oUXyWlXRXfIAAAAAAAAAXfP/iMuSpg== ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[4]=", - CellID->492128281] + CellID->715016264] }, Open ]], Cell[TextData[{ @@ -1835,370 +1835,370 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnXt0VVWe53Wm1/Q01a7ysagGs1jVIlRFUNMpi4cYKHw0lj0FCPQALYwP -Fg1ClWgEDR0XD0U6Io+wUEgPMQ6UWN2iodLSlpZNywpmbAtwwhuKBLEoJJEo -BAJ5597JzYVIcs/ZZ59z9v7tx/l+/uhVDdTd53z2755zc++tfG6a9uT4Gf/l -qquumvvf2//P+Mdy7n766cf+YcK17f/P/5wzd9bMOX8//YE58/5+5t8/PXTa -f23/w51XX3XVn7T/+8R/jgMAAACg8Y9bNvzyzfWLZzz3n7Ux1QcTcbAXSoB2 -ANo5t/sfXi472+b579rwLJEO9kIJ0A6k03x6x8sP3LXoUEO8/kDOiAc/+Lr7 -MLWd3/9W4eYPP9y06LEXPz135d/GGr747etvbv3Nhnk/uv76v/zBD394233/ -+PuGzr9urdn2wt/95Pa//O51fW+5dfDfvftVa8BDbD2//19m/WTkMx9+nfoI -LSc2TJj2cW08fqF8zoiHPzkXcAmZMAwLUxRim/xhzl5AOwB+qd0xddSrnzdU -b532ws7z3W4FbWf+4+ejXz3W1P5T6pEXRz70yfnOv4nVfjx33KuVTYlhLLr3 -Z+93v4m0NVTXNMbq9y+atPFEC89hNBzb8PSsJaXfdJ32hoqiJ5/bcqLu+Lqs -IS9XNHX778S+fn/C3/zzqdZ44+9fHHrf29XeL5y8iLWEeGXlfAquhgUpiofZ -Jj8LUe9FWKAdWEtL1TuTM6f+7rzrP2iszJ80cWWFv5cfDYf/8WcLP931yw37 -ut8J4m1fbfmb4cs75u/inqfvy91f3/lXZ/5j/F0LDyVWaqpYed8j/+l4UI1H -Vkxe/3mz9zHEzu9e8j8mP5//8wcee+vLb5+gsZr3xo3IO9oYj5//5KGRS3/f -2O2/dmH37FF57X/a+uUbI4d2/LvAxJpOlRVm//THD5bVdv3z+sr38nMX5b/+ -6+0Hz7NeQLqcQgKG4dCKEoTdJq6FCPei3djx4qULV64vWpf31GPzi09y6HF6 -EGgHdtJyqnh6Vs8+kxn3grZz5Vu2lNf6e23QcPD5u6cueLOyPvWvzn8yqf+d -m75svwRe2Ltk6trKb1+UtFW/fc+dyxLPg8bKgr9b/P/qHI/4D6/d/9C/n/F+ -TdT6zSe/2l7VnDiBve+UfN55JM3HX8ka+Ub7+hf3vfDgiwe7H2H7S6E7//o3 -X8eajv3vuwf8r9+dD/GaKNZ4+uSpXdn9eo/accW9oKX63eyRdz/34Wnv149u -p5CAYTi0ogQht4lvIbq9aL+uvXnvHc90XFpjZ7aNznhkF8dxpwLtwEqaT77z -3Or3lv+oH+tewCCnK1VVVZf/5vyunz++6YTTS6SGw4tuSxvys0Ub3y15c8P2 -6i7/pOXUO7PGzd/wb+9uev3fT7q8Gmn54/+59wcPvFcTfECbjhc+Ovkf/6W4 -6NV3P2/o/sxtPfXPd6f/5J6pTz2/PH/sHWNX/OvxetaTu/WrrTOf2MmQ1/68 -GpB2xb2gsWJVVp9haz/v/mO5b9wNC1AUfps4EbkXbFpOFA5KG/ZKRfvxtpzc -MHLwgkOB3miHdmAhzSfeyl1/5NzxdXe43Quaaz4uenzU8HHLVqx3eiHUenZn -4dypD02fMy936Wvl57ieAy1/WD986IrK0JdCb5r++F7+8sJNa2f+oMd/+4tR -v1jyy+McT/7Y1x/87b1rj3O/f9B68pd//bOPzrr/g273gnNlU27s0Wfyoufn -PXJ/xsD7ntlazfrpINAp+MD98QVvE8leeNB2Znt2xg3fH7uoYGl2zsZDF92v -b9AuUDvQn6YvNuUWVTTEm79wvxfE47Wl4/oNWV1ScCj17xsO52WlTyn+0tfQ -tP90eudfPXvA4cYiltj5nc8M/sn6PzTHG48svuUvhr1VxXWnSjwP7nx2P//h -+bwXtL/sS7/+9tUdPxW0VheP7n3juN9+43JRCngK3LAeX+g2Ue2FN/UHXhqe -fm2PniNyP/jK7R4M7cK1A61pPLYxd+PniR80mfeCC7tnpGcuLFnzWeq7oBfL -Z990Tdo94ye1M3l63uGLsg/ZD201//bTPhkdL7Dqdk0bOPw1vi93cNNy6u1p -9/8kwZ3p192QcVfHf/ybX/zf1P/NTrd7wcH5/b+XtbWm45/FTpfc1fPm7H3O -TzvZpyD78ckW+nYvrsBhL5pObHh4zJrDdTWleQ/0ui5zwV7HiYV2Tni1A81p -PLp8ZMZtGR0M6NPjT6/tf/vdT+650P2f1R/IGThw9pZXS0+nftmldseoXn2f -2KPVLaCTlhNFP+51R/v4t9V8MOtv88rrZA2oz58L2qrfzuqdsfrSpwW1O+5P -u2XxEee3fmWfApkisoXYtM9yxqBVie9qxmO1pdNu7j+r3Gl2oR1ElpYTrw3u -7/xzQVPl8sz0qZsLNu0u23ag+7cJGo/m3dYzM79Cyy+ctdUd+Jd/mD3vlbf+ -teSjY4x3hkPDcS9YcuXnBa3VxWP6Dk1+dNx0bNXgQQtSvsVxCdmnQKaIbCE2 -TcfyBw+YmZzzpsoVQ4Yud3xbHtpBZGHcCxqOvDD81vGPTphTtL8u9b3GWN2+ -ddNGDhs749mFi5fkb63S58Omtq8/ePSWPjd850+ubudPrv3RXJ7v3wWDfS9o -rtn7/rIR13+n/9zNnx67mFTY+vVHL06ZMGfp2rV5T89/46jLVzRknwKZIsK9 -8CB24WDh7Ikzn19TWPDy/JzXD15wMA/tANhDc9X7Ly0p/kPy55VYy5ldq+d/ -ynjhriOyT4FMkVl7Ae0A2ENrdfH9/e4rOZ18Ed5WV7HtX//9Sy3fx3JF9imQ -KTJrL6AdAJuIXdi//MFbevX5q1GTZ85ftn7LZ99I+p6GPGSfApkis/YC2gEA -AAAAAAAAAAAAAAAAAAAAAUExVgnQrgRoB8ANFGOVAO1KgHYgEmYKWWjO1b0b -G8FoMrQrAX1kYAuUoV6hOdc4oxtraDQ5LNAuFdlZalfQRwZSURHqFZdzTcDo -xiYwKJosOdQL7W7wa5edpWaAPjKQiopQr8CcawL3bmzHqZgTTZYc6oV2t0Pg -1y47S80CfWQgHfJQr8CcK7sbGzcrmiw51Btd7WzQR74C0kQ40A2tQ71eqwjr -xuoQTdYn1Ou1ilnaPdBHu119ZM/kB9ANfUO93qsI6sZqE03WItTrvYph2r3R -Qbt1fWTcC4xD21Av2Sq6RJP1CPWSraJLqFcP7Rb2kb0S4UA3tA31kq2iSTRZ -k1Av2SqahHo10W5fHxk/FxiHtqFeslU0iSZrEuolW0WTUK8m2u3rI+NeYBb6 -hnrJVtEmmqxFqJdsFX1CvTpot7GPjHtBNKAJrRKsYlYxFtqVgD4yAM7QhFYJ -VjGrGAvtSkAfGQA3aEKrBKuYVYyFdiWgjwwAAAAAAAAAAAAAAAAAAABAREHv -VQnQrgqYVwXMaw56r0qAdlXAvCosNI/eqxJQN1YFzKuCaT6B+1WCH48djKZ5 -ftB7lQpNVNqVqNaNGcC8KtzMJ3C/SvDjtYO2m2+pemdy5tTfBa8QoffqF6mZ -3QBOGNhUN76EtIGHeQ9kXmo8dPHBtYMmmuei5VTx9KyefSaH2SD0Xn0hN7Mb -wAkLe+rGlw9Z2sDDPBu5lxq2Lj64dtBA81w0n3znudXvLf9RvzAbhN5rd1A3 -5oaubtyB1IGPrnmOwLHkS42HLk54dlAv86JoPvFW7voj546vu8Nzg9B7Rd1Y -zhIMBNeNtRp4r1XMMu/5S6plm/enS/XmMhA+81w0fbEpt6iiId78hdcGofeK -urGsJVj/NcF1Y30G3nsVw8x7DLx08350qd9c1n9NfNHbm8ZjG3M3fp74Mchz -g9B75QR1YyVL8NWNNRp4slX0GHi9zNuxubxFbx4ajy4fmXFbRgcD+vT402v7 -3373k3suOK+L3qtPUDcmXsIbnQaebBUtBl4z89ZsrgxaTrw2uD/zZo3eq09Q -NyZewhfKB55sFU0GvhMdzFuzuTLw2CD0Xv2DujHpEj5RPPBkq+gz8JdRb96a -zVUAeq9KQN1YFTCvCmucGGeeC/RelYC6sSpgXhXWODHOPCfovSoBdWNVwLwq -rHFinHkAAAAAAAAAAAAAAAAAAABwCVRHZQPDsoFhMqBaALpWO3mro0agpWSr -DGuJheVcXQ8VwxwM72pn4Iqx7OqoZ1lVG1iSw5R5SbquQgK1cgnR2NXBsEHl -XFwu7MWz2hm8YkxRHWWVVfXBS3LQMi9J11VEoJaAYI1d4Yad0bac6xedLhfO -WHC58MQzQtpYmT9p4soKn7kHr2pn2Iqx5OooK+IcAEWSQ5V5JRsWEqhNLlRf -8cace37Q88+vuynr5xuPunegAkkO1tgVa9gFynKuXMn6XC5coL1cqIEjQtp2 -rnzLlvJafy8qPKudISvGsqujjLKqf5RJDlPmlW1YRKC2g/pDq55c++lXTc3f -7F47ptd3M1JfH18mkORAjV2xht0gLOdKlqzN5cINysuFGgRESHO6UlVVlfhT -z2pn2Iqx5OooK+LcBZrSa0DJocq8kg2LCdS201y9fVvVpUvDxT2/6Js2uizY -++LOkgM2djUwLLJZLFlyZC4X2uIdIW2u+bjo8VHDxy1bsd7pltd6dmfh3KkP -TZ8zL3fpa+XnvhXtWe0UXDFmILltKqD0Kk0yEQSBWl7qdj12y53/9AcHJUEl -M9B8hoU3iy8jXnJ0LheawhchrS0d12/I6pKCQ6l/33A4Lyt9SvGXqVvoWe0U -WjFmIL9tKqT0KkcyCQSBWv5jObtj9r1zy1y++R1IMgPNZ1hCpDv5uOIlR+hy -oSWcEdILu2ekZy4sWfNZ6lttF8tn33RN2j3jJ7UzeXreYcdor1rkVUeFll4N -liy16+ov6tp29pO87KIjbu+DmCpZj2Zx59HYKTkJxeUifJ5YOJwR0voDOQMH -zt7yaunp1K/k1u4Y1avvE3s03NNOCKqjAkqvJkvWpesaq6/41bKive5f4jBW -shbN4iT2Sk6iyzCrgxGea6pcnpk+dXPBpt1l2w50/2y/8WjebT0z8ys07jQQ -VEfD1/2MlqxH17Xpj+/mr9+Z/OpKW+2BkvdPdX9n2VzJ2jSLbZacRI9hVgnj -MtVw5IXht45/dMKcov11qe+cxer2rZs2ctjYGc8uXLwkf2uV8g8xu0FSHQ1/ -LzBYshZd19aa38z64Z9dfdUlru5x+/LUDxlNlaxLs9hqyUm0GGYgAzurozoB -w7KBYTKg2lpsrY7qAwzLBobJgGqLQXVUNjAsGxgmA6oBAAAAAAAAAAAAAAAA -AACiDuqlsoFhMkxXbfrxA160DJjaVi/VT7JthuM6Sk5iumozjl/X3dccpHgJ -CCw5gds5yjfsscWaIUWyYAkuqoVtpWyCpoSlz7BHiNmsSVaENileZ6xI8QaW -nMD1HKUb9tpizZAiWagEV9WCtlI2gVPC4mbYOdgd99h9wybZFcUBU5oUrwuW -pHgDS457nqNMw1xb7GctEyWLk+BVPQ67lV0RX+4OnhIWNcMuwe4OmLsvepIV -oTpgSpLidcOSFG9QyQnY5yjTMNcW+8BIyQIleAxz6K3s8mASyt3BU8KCZtgt -2J2AufuiJ1kRqgOmtqR4ta7EBmz1xiUb5tniLtgo2bcEd9gp3vBb2YmkcnfQ -lLD0GfbcfbGTrAMKAqZEyE/x6lyJZSAsIEvSh4265CSqU7zyyt3BIJhh4dcx -7klWg4qAKQkkKV6NK7EMBAVkqfqwkZZ86UBUp3gllruDQTDD4q9jWt8L7A2Y -EqV4I1yJRYqXDNUpXmvL3bJnOIm/SVaC1QFTmnpplCuxSPGSoTjFa2+5m1is -rj8XWB4wpamXRrkSixQvGfqkeC0rdxOL1fJeYHvAlKpeGt1KLFK8ZOiU4rWq -3E0uVst7gd2gXiobGCYDqiUBsfaDeqlsYJgMqJYExEYB1EtlA8NkQLUkIBYA -AAAAAAAAAAAAAAAAAIAOBEwJgGQCIJkASLYYMwKmSYzNmEIyAcZINtZw3BTJ -JhtWh+iAqei0KCtjanolNklgkzStWM9J0IUgk6yF4SRmlLvRO7YV8QHTgGnR -QBlTGyqxIUyKO/0wpWBNCDTJ+hg2o9ytQe/YlUj0ji9jSMA0QFo0cMY0gZhK -rLwUb/BkM0lRuoMQpWA/KJOstNndgZdhE8rd6nvHLKLQO76EKQHTAGnRwBnT -BGIqsRJTvIGTzTRF6QRhSsE+UCdZabM7gadhE8rdynvHLKLQO05iUMBUYB+W -J2LLG0tVl+INnGymKUqHKwX7QJ1kxc1uDsNmlLsj1DvWFmsDpklIMqYKU7wM -BJtkQNiK5YBUMhEhDJtS7g6Gib1jTbE1YJqEKmOqLsXLQKhJBrStWO/DIZVM -QijDppS7g2Fk71hLrA2YJkGKlwA6yawUb+fRWCiZoMYb8Umm7h3zTDIx9gZM -kyDFS4DiCO+VWCqZ0nA0J1mjGdYAywKmSZDiJUCbCK+1kikNR3OStZlhLbAq -YJoEKV4CdInw2iuZ1nAUJ1mXGQaSQMaUAEiWDQzLBoYtBxlTAiBZNjAsGxi2 -HmRMCYBk2cCwbGAYAAAAAAAAAAAAAAAAAACADgRMCYBk2cCwEqDdJswImCYx -NmPKK9nYE1QO9RhjpzqAdotA75gAVu84eAlXyOmHyQFrRMCitC+kj6J5ewHt -1qBN79gV63vHwUu4vk/fLSodNAccjFhLiIdxPoWgRWkfS8QFj6IeexEOaKfG -sICp4LQoUe/4MuRR6bAlXO7TZ0SlQ+WA+Yk1nSorzP7pjx8sq+365/WV7+Xn -Lsp//dfbD55nva5zOYXgRWnuJToQN4rq96J9oePFSxeuXF+0Lu+px+YXn/T/ -BIJ2cgwLmApOixL1ji8/GH1UOmQJl/v0WVHpMDlgfmKNp0+e2pXdr/eoHVfc -C1qq380eefdzH572flnndgqBi9L8SyQQN4rq96L9wvrmvXc803F9jp3ZNjrj -kV2+HxHaqTEuYGpi7ziJiqh02BKuiFZsqBxwFzwltz+xB6RdcS9orFiV1WfY -2s/D9Q8DF6X9IG4UmQjbCzYtJwoHpQ17JfGbqVtObhg5eMEh/2+BQ7vT8Xpf -Z4RgXcA0iR69YyVRabElXBbukgXiKbnbveBc2ZQbe/SZvOj5eY/cnzHwvme2 -VrN+Ogh0Cv4E0hR1SfbCg7Yz27Mzbvj+2EUFS7NzNh5iFAGg3Q/cNepQ2BYw -TaJJ71hNVFpwCdd9HYZkkfi8F7S/dky//vbVHT8VtFYXj+5947jffuNyUQp4 -Cn4E0owi1V54U3/gpeHp1/boOSL3g6/c7sHQ7hOKe4F1AdMkevSOEZUOBX+K -t9u94OD8/t/L2lrT8c9ip0vu6nlz9j7n5z1B7pamqKtLe7rpxIaHx6w5XFdT -mvdAr+syF+x1nFho58RfjToMNgZMk2jRO0ZUWhA+fy5oq347q3fG6kufFtTu -uD/tlsVHnN+UJTgFGkuadHvbZzlj0KrEFz7jsdrSaTf3n1XuNLvQ7hfJPxfY -GTBNok3v+BKISoeB416w5MrPC1qri8f0HZr86Ljp2KrBgxakfB3lEgSnQGNJ -k25v07H8wQNmJue8qXLFkKEOKcw4tPtH5r3A0oBpEl16x9+CqHQY2JKba/a+ -v2zE9d/pP3fzp8cuJhW2fv3Ri1MmzFm6dm3e0/PfcPsfzxCcAo0lfbq9sQsH -C2dPnPn8msKCl+fnvH7wgoN5aPcPzWfH1oGMKQEWSCY4BRpLZu0FtAMikDEl -wALJBKdAY8msvYB2QAYypgRYIJngFGgsmbUX0A4AAAAAAAAAAAAAAAAAAGA5 -iJMqAdpVAfNage3QB9I4Kcqkl0ETVhUwrxWofmuDS5xUXDU4eLqXH/PipGjC -qgLmtUJO9VugBIZqY9LqPLjGScVVg4One10O2ag4KUGK1xU0YVOBea2QVf0O -KMGnas3S6p4pXhZe1V0h1eCQ6d5uR6xBnJS/CUuQ4mVhZRNW5sDDPAujqt8B -JARQnUBsWj04HCleFh5xUiHV4JDp3q5oECf10YQlSPGysLEJK3fgYd4ds6rf -ASQEUJ1AaFo9OOFTvOy0sYhmaNh0Lz9ownbFwias5IGPqnkOjKt+i5XgHnkX -s5Vh8U7xdiK76RmiTCoqgUoHmrCKmrCyBz6y5j2xvPqdRA/VQeBL8SaQ3fQM -VSYVlUClBU1YCQhpTyeAebHYXf2+tJoeqoPAmeJNILvpSVMmJVgITVglqwht -T1McMM0SBKvwDbzl1e8k8lTzXlUCw5niTR6M5KYnWTMUTVj6JchWiQtpT1Md -sGXmWdhe/U6iherQMPKLSWQ3PcmaoWjC0i9BtkpcRG80CcxLwsrqdxLdVAfD -46khu+lJ1gxFE5Z+CbJVOhBzL4B5aVhY/U6in2oJyG56kjVDzYqTogmrCpgH -fomEatlNT7JmqFlxUjRhVQHzwC8RUS276UnWDDUrToomrCpgHvgFqgEAAAAA -AAAAAAAAAAAAADxAgVQJ0K4KmFcCtOsPgrBKgHZVUJuPQ34CDLz2qA7CRrRV -Cu2qcDUvNhysOPytnXkMvEhiLSHudAQpXrd+KLtkGsVWKbSrwt284HCw4vC3 -MvO6Jr9tGfhY06mywuyf/vjBstquf15f+V5+7qL813+9/eB51g2IIMXL6Iey -S6bGtUr5C8guQHsIpBWQBYeDVYe/E5APvM7Jb1MHvtshNZ4+eWpXdr/eo3Zc -cS9oqX43e+Tdz3142vv+Q5DiZfVDmSVT01qlPgrIbkB7YOQVkAWHg1WHvxOQ -D7zOyW9DB96J9vMckHbFvaCxYlVWn2FrPw/XfNMhCKtdq5Sd4rWlgGyY9g6k -FpCFClEf/o5j4DUf+MB0uxecK5tyY48+kxc9P++R+zMG3vfM1mrWTwfWBGG9 -1hKCx69TjmAB2WstISgvIPvGlvA3Bt7vWmrpei9ov5WmX3/76o6fClqri0f3 -vnHcb79x2SNrgrDea4nB+1frR6qA7L2WGFQXkH1iUfgbA+9zLcV0uxccnN// -e1lbazou/7HTJXf1vDl7n7MGa4KwstfiS/FGroAsey0TC8hkq0hdCAOvZK3w -TeSu94K26rezemesvvRpQe2O+9NuWXzE+T0wa4KwZGuxXyZFrYBMtpZBBWSy -VWgWwsCrXcsvjb9fcuXnBa3VxWP6Dk1+dNx0bNXgQQtSPp2/hDVBWLK12E+N -qBWQydYyqIBMtgrNQhh4tWv5orlm7/vLRlz/nf5zN3967GLyfavWrz96ccqE -OUvXrs17ev4bR+udD9eaICzhWh4XpUgVkAnXMqaATLYK1UIYeJVrEWFNEJZ+ -rTBAuyosyxObYh4DrzvWBGHp1woDtKvCsjyxKeYx8PpjTRCWfq0wQLsqLMsT -m2IeAw8AAAAAAAAAAAAAAAAAAGAqqI5qBbZDLPCpCpg3DlRHtYJ3O6CRD9Lx -xqZcASrSpoHqqFawtiOURiEGGIaTCBoYcbj4FDcP6mc7iSnmKSvSEZ35YKA6 -qhXs7QilUZgBF8PJRQQNjChcffq2QZmQdsMK84Kf70z/EZt5abHXOKqjLovX -V7wx554f9Pzz627K+vlGt1/7lFiuMn/SxJUV/C94PLZDgEYRBhiGhQ1MJzLH -m98GZUKagR3mxT7fPSvS5s18QOTFXhOgOupA/aFVT6799Kum5m92rx3T67sZ -qS/fL9N2rnzLlvJa/vdLPbYjvEYhBhiGRQ3MZeSON7cNyoQ0CyvMC36+e1ak -TZv5gEiNvUa3OsqMvTZXb99WdWm/L+75Rd+00WXnnP+lBzldqaqq8tgOARqF -dFfdDQsr9iaRPN5CbGgy2yaZp61I6zTzHP3ugMiOvUa2Osr5q5ITeaPHbrnz -n/7gcGbNNR8XPT5q+LhlK9Y7vZZoPbuzcO7Uh6bPmZe79LXyc1xjKl4jA4KB -8UKjlrH2s22tea9VRPqXb577wuIT6bHX6FZHObcsdnbH7Hvnlrl8c7q2dFy/ -IatLCg6l7kzD4bys9CnFX/qaYNEaWUvJHxhP9GkZGzDblpr3XkWcfxLzcu4F -esVebauOsmOvl47j7Cd52UVH3D45vrB7RnrmwpI1n6W+UXmxfPZN16TdM35S -O5On5x12bMUqROpu8qVdNRpvO2Y7bqB5a1bxd2Hxi2axV8uqo96371h9xa+W -Fe1N/abSZeoP5AwcOHvLq6WnU7/QXLtjVK++T+zR7RbQifquq07jbdlse6CT -eftWkfUe0WV0iL1aVh312rKmP76bv35n8vtBbbUHSt4/1f3twqbK5ZnpUzcX -bNpdtu1A9682NB7Nu61nZn6FrjEMrbquysfbstnmR7l5+1ZRfC9AddQ/zC1r -rfnNrB/+2dVXXeLqHrc7hL8bjrww/Nbxj06YU7S/LvV9x1jdvnXTRg4bO+PZ -hYuX5G+tovk4mBPNuq6Kx9u62eZH/YXFslXk3wuYoDoKfGGWYdlHi9l2w6aK -tFnmA4LqKPCFWYZlHy1m2w2bKtJmmQ8MqqPAF2YZln20mG03bKpIm2UeAAAA -AAAAAAAAAAAAAABAOsiSqgLmtQLbIRDINBEEYVWBIKxWoDQtEFTUDQRBWFUg -CKsVwUvTCdzOUb5hsdMiCNUV9YhqD4O4IKwrCMI6IjoI6wqCsDyEKE0ncD1H -6YYFT4tPnDPEQivqepaO1WrvCnd1l/kgooKwLGwLwko3L9aJRUFYTUvTcc9z -lGlY8LS0L3S8eOnCleuL1uU99dj84pOMo3bJEIusqGtbOhauPTj81V0WooKw -LGwLwko3L9iJPUFYTUvTCdjnKNOw4Glpv7C+ee8dz3Rcn2Nnto3OeGSX6yO6 -ZYgFVtS1LR2L1h4CUdVdBGGdDpmid4wgrF+0LU17nqNUw2KfQfGWE4WD0oa9 -kviN6i0nN4wcvOCQ/7fAdaiox3XTLi92fAXu1d1OEISVkiXVwLzXKmYFYbnR -qzQt7BxppoVN25nt2Rk3fH/sooKl2TkbDzF+mb81FXUS7QS/sJpd3e34FwjC -SsmSqjfvvYphQVjeY9GrNC3oHGmmhYf6Ay8NT7+2R88RuR985fbBqzUVdSrt -0u8FHtXdjn+CICwfQnvH0o/WplX4Urydh2JnaVr2PvJKbjqx4eExaw7X1ZTm -PdDruswFex0tWVNRp9MuI3bciWd1N3kwCML6REDvuAObUq3qU7xJ7C1Na2K4 -3V/GoFWJL3zGY7Wl027uP6vcyZc1FXUy7TJ/LvCu7iZBENYv4XvHSWxKteqR -4rW5NK2H4XjTsfzBA2Ym05ZNlSuGDHVIuMYtqqiTaZd2L+Cq7iZAENY/4XvH -dEdr0yoeWF2a1sJwB7ELBwtnT5z5/JrCgpfn57x+8ILD9dGaijqhdqWx4ziC -sOqwKdVqlnkTMcuwNRV1s7SHAkFYVdiUajXLvImYZdiairpZ2kOCIKwqbEq1 -mmXeRMwybE1F3SztAAAAAAAAAAAAAAAAAAAARKBMqgqYVwXMqwLmdQZlUlWg -NK0KzLwqYF5jUCZVheLSdILw+2uT+SSYeYnAvLagTKoK1aXpjqXElIi1NU9Q -43UFM58KzEulpeqdyZlTfxfMG8qkAbCkNB0XVyKmbsLyzTxBjZcFZj7lQWBe -Ji2niqdn9ewzOeC9AGVS/1hSmk4gqkRM24TlnHmCGi8LzHwKMC+R5pPvPLf6 -veU/6hf0XoAyqW+sKU0LLBFTNmEx81di0cxH1byQDnLzibdy1x85d3zdHZ7P -C5RJpaBB7ziEdlH7KxDP3+uLmbd15iNrXsDvsm76YlNuUUVDvPkLr+cFyqRy -UN87DqVd1P6KxON5gZm3duajaz70vaDx2MbcjZ8nfgTxfF6gTMqJ0OouxQGT -lab1aMJi5jHzREsQrCKsg9x4dPnIjNsyOhjQp8efXtv/9ruf3HPBeVGUSYWj -R++YTIgWTVjMPGaeagmyVeJCe2ctJ14b3J/5GgllUsHo0jsmE6JbExYzT44u -M0+zBNkqccp7AcqkgtGmd0wmRL8mLGaeFm1mnmYJslU6oOogo0yqCmtK0zCv -ZAmyVQQC8/qCMqkqrClNw7ySJchWEQjM6wzKpKqwpjQN80qWIFtFIDAPAAAA -AAAAAAAAAAAAAABgLciSCgQyVQHzqoB5a+DNkiInygEar6qAeVVQm49DviRY -WdIwFV1hMVBGclRcL1gQqhuvEdUeh3l1uJoXmwNWXPTW0bxY2FnSEBVdsTFQ -l+SouF6wTwjquoGK0pZrdwXmVeFuXnAOWHHRWxPz3AXSxsr8SRNXVvDfeb1S -vCEqumJjoG7J0QRCesHtSxwvXrpw5fqidXlPPTa/+CTj8QjquoGL0sZpv4T5 -LW/TzEvvGgvOAasueicQO/MB4C+Qtp0r37KlvJb/jTuPLGmIiq7gGKhLcjSB -kKRp+4S9ee8dz3TMT+zMttEZj+xyPWKCum7gorRp2i8/mPktb9PMS+8aCxai -uuidQOjMB0FUgTSe05WqqiqPLGmoiq7YDKtbcjTOnzRlx0ZbThQOShv2SkX7 -kbac3DBy8IJD/t/X1KHxqp12DuzoGptlnqBrLFSI+qJ3XOjMh8e9QNpc83HR -46OGj1u2Yr3THa317M7CuVMfmj5nXu7S18rPcZ2M4IquJ5KTox6/MLbtzPbs -jBu+P3ZRwdLsnI2HGL/G3JrGq9daNESxa+y1Fi0atLy9VjGx6C0VdoG0tnRc -vyGrSwoOpT6fGg7nZaVPKf7S1xwLreh6ryY9Oer9y8PrD7w0PP3aHj1H5H7w -ldvHQ9Y0Xr3XIiGCXWPvtUhR3/L2XsXIordEPAqkF3bPSM9cWLLms9S3sy6W -z77pmrR7xk9qZ/L0vMMXZR+qf+QlR3ljo00nNjw8Zs3huprSvAd6XZe5YK+j -JWsar7LX4qvrRrFrLHstE7vGZKtIXcif+cB4FkjrD+QMHDh7y6ulp1O/9lq7 -Y1Svvk/s0fAW0AlBcpT9c0G7v4xBqxJfSIvHakun3dx/VrmTL2sar/RrORDJ -rjH9Wq5o0zUmW4VyITl4F0ibKpdnpk/dXLBpd9m2A90/Y288mndbz8z8Co0j -DQTJUfa9oOlY/uABM5OvS5sqVwwZ6pz2s6bxSr8Wm+h0jenXckGjrjHZKpQL -SYCrQNpw5IXht45/dMKcov11qe9+xer2rZs2ctjYGc8uXLwkf2uVwi/IOkKS -HPX4vCB24WDh7Ikzn19TWPDy/JzXD15wmBJrGq/0a3kRla4x/VrO6NQ1JluF -ciEQBFOSo9Y0XunXCgnMq8Ky6LBB5qOIKclRaxqv9GuFBOZVYVl02CDz0cSU -5Kg1jVf6tUIC86qwLDpskHkAAAAAAAAAAAAAAAAAAAAKUCZVBcxrBbZDNjCs -OWjCqgLmtQKNb9mQDjy2yTdowqoC5rUiaOOb5twJGuLScTHMEOgT1jZhLzoh -qPG6giZsKjCvFeEa36LO3bWqTNUQ73zUlhAPE+BS4yLQz+PH2dtk7l5ww9eE -JajxskATNuVBYD44njNP3vgWcu6MqjJZQzweazpVVpj90x8/WFbb9c/rK9/L -z12U//qvtx88z3pFHexSwxLI9fgdeG2TYXvhD84mLEGNlwWasCnAfGA4Zp68 -8S3i3FlVZbKGeKzx9MlTu7L79R6144p7QUv1u9kj737uw9PeL6gDXmoYAvke -P4HnNpm1F75AEzYV2RFkgiZsdM1zEH7mJTS+ZZ87XUM8QfsldUDaFfeCxopV -WX2Grf08XLeWaZglkBvvbdJuL9i9dX7QhFUTQf4WWU3YyJr3xHvmVTS+xeDu -VnBD3Itu94JzZVNu7NFn8qLn5z1yf8bA+57ZWs366UD2hNBMO9VecF9qmKAJ -qzCCnDwQWU3Y6Jr3gG/myRvfImC5FdoQ56DrvaD9dXD69bev7vipoLW6eHTv -G8f99huXmZc9ITTTTrgXIu4FaMKqiyBfOg4tmrC2mRfQQTay8U2wj/zh3W73 -goPz+38va2tNxz+LnS65q+fN2fucr4Wyz8KayLK/Sw0bNGHVRZATaNOEtcw8 -C86ZN7PxrVVvt+u9oK367azeGasvfVpQu+P+tFsWH3F+L1z2WVgWWY6Leo/o -MmjCCsdrgzRqwlpmnhPGzBva+NbHbTxxL1hy5ecFrdXFY/oOTX503HRs1eBB -C1K+BXQJ2WdhWWQ5TnwvQBPWP8wN0qkJa515Thgzb2TjWye3zTV731824vrv -9J+7+dNjF5MKW7/+6MUpE+YsXbs27+n5b7j9L2pkn4VlkeUOxN4LmKAJqwqY -B5zY4Vb2WVgWWaYGTVhVwDzgxA63ss/CssgyPWjCqgLmASd2uJV9FpZFlgEA -AAAAAAAAAAAAAAAAADQFBVJVwLwSoF0VMK85KJCqAuaVAO2qgHm9QYFUFS7m -xTkJmOj1i2HmMfCqgHmdQYFUFa7mxdWBAyZ6XY7XNPOyk7uuYOAdgXmZNBwv -Xrpw5fqidXlPPTa/+KT/X62CAmkI+DLTLnjVdYXUgcMkersdrh7m+QdednKX -BQbeAZiXSeuXb957xzMdRxI7s210xiO7fP8KJRRIA8OZmXbDw7yQOnCYRG9X -9DDvY+BlJ3dZYOCdgHmZtJwoHJQ27JXEr99tOblh5OAFh/y/L4UCaTAkZ6aF -OAmV6OWGsP2Kgf8W2wYe5sPRdmZ7dsYN3x+7qGBpds7GQ4zfs40CqVBkZ6Z9 -YJd5j9/fi4HHwEfMvA/qD7w0PP3aHj1H5H7wldsHIiiQikV6Zpob68x7/y53 -DHwCDHw0zPPTdGLDw2PWHK6rKc17oNd1mQv2Opb7UCDlRGhyl+KYLTTPbr9i -4IWCgVe1Cn94mpP6AzkZg1YlvtoUj9WWTru5/6xyp+cGCqQi0SkzbZ959s8F -GHgFYOCVhqc5aTqWP3jAzORtuqlyxZChzqVFFEgloTwzbZ959r0AA68WDLy+ -xC4cLJw9cebzawoLXp6f8/rBCw7HjQKpNBRnpm007/F5AQZeKRh4k0GBVBUw -rwRoVwXMaw0KpKqAeSVAuypgXnNQIFUFzCsB2lUB8wAAAAAAAAAAAAAAAAAA -AJaACKkqYF4rsB2ygWHN4Y2Qoh8qGpjXCmyHbNA71huXCGkHrH4oP4yeaaQj -pDCvFUG3g5nrFWzATbXA3ZSI0t4x9sIDZoTUM5jr8HgukVCXnqnlEVIWos27 -AfNchNsOt1xvMAP+VYtrZF8+8JYQeyW7NB0orW7uXnAhu3fs3Q/t9nDukVBW -z9TQCKnU3rFP8wyiaL6xMn/SxJUV/C/5wm6Hm+QABoKpTiCkkR1rOlVWmP3T -Hz9YVtv1z+sr38vPXZT/+q+3HzzPeqEruzQdOK1u3l7wI7937NkP7XZAjEgo -o2dqZoRUbv7Vp3kWUTTfdq58y5byWn5rYbfDRXIAA8FUJxDSyI41nj55ald2 -v96jdlxxL2ipfjd75N3PfXja+3Wu7NJ04LS6eXvhA+n5V+9+KD+Mnql2EVJ2 -dbcDyflXmHclvPl4TleqqqpCb4ebZKEBXJbqOP9uekpuv6QOSLviXtBYsSqr -z7C1n4frOirvHeu4F8KQnH/13Q9Vlzolre7Kz7/CvBve5ptrPi56fNTwcctW -rHd6kdl6dmfh3KkPTZ8zL3fpa+XnuJ6rIkO6nshX7Sm5273gXNmUG3v0mbzo -+XmP3J8x8L5ntlazfjqwo3fstZaO1WOJ+Vef/VCVqVPa6q70/CvMu8BnvrZ0 -XL8hq0sKDqX+fcPhvKz0KcVf+rpeiAvpei9FodrnvaD9FXD69bev7vipoLW6 -eHTvG8f99huXl5129I6919KveqxH/pVmFW2quxrlX2lWMc38hd0z0jMXlqz5 -LPXd2ovls2+6Ju2e8ZPamTw977Dj80UhUlXzRqVT7gUH5/f/XtbWmo5/Fjtd -clfPm7P3OV8FLRhFmrVs7R3TrKJLdVen/CvNKoaZb39WDBw4e8urpadTv+xS -u2NUr75P7NHtFtAJjWqfPxe0Vb+d1Ttj9aVPC2p33J92y+Ijzm+32zSKZlWP -Ncm/0qyiT3W3E+X5V5pVzDLfVLk8M33q5oJNu8u2Hej+fZ/Go3m39czMr9A1 -T0KjmuNesOTKzwtaq4vH9B2a/Oi46diqwYMWpHwL6BI2jaJh1WMd8q80q2hV -3b2M4vwrzSqmmW848sLwW8c/OmFO0f661PeqY3X71k0bOWzsjGcXLl6Sv7WK -7PvfPFCpZkturtn7/rIR13+n/9zNnx67mFTY+vVHL06ZMGfp2rV5T89/46jL -d9psGkULq8d2REJNjJDCPPCF6aptGkXT98IBOyKhJkZIYR74wnTVNo2i6Xvh -iB2RUBMjpDAPfGG6aptG0fS9AAAAAAAAAAAAAAAAAAAACAUipKqAeSVAuypg -XnMQIVUFqfkk8I+BVwfM6w0ipKpwDeyKdRK41esPY8xj4FUB8zqDCKkq3M0L -zgQHbfU6H7U55mVXd13BwDsC8zKR3TtGhJSFtN6x4Exw0Favw0GrNs8/8LKr -uyww8A7AvEzk944RIXVHXu9YcCY4aKs3FdXmfQy87OouCwy8EzAvE+m9Y0RI -XZHaOxbqJHir1w8k5jHw3aEqIEsPfMN8SCT3jn0QsQip7N6xb2j8KzePgVdU -QNZo4CNm3gcSe8fcRC1CKr137BMa/zqYj2PgVRSQ9Rn4qJnnR4/eccQipJHr -HROswpt/xcArKCBrNPARM+8DTXrH0YqQRq93TLkKGwy8ggKyTgMfLfN+0KR3 -HNkIaUR6x5SrsMHAS1rFlMB3ZM17o0PvOMIR0kj0jilX8QQDr6KA3InigY+w -eREgQqoKO3rHlKsIAQOvCpjXGkRIVWFH75hyFSFg4FUB85qDCKkq7OgdU64i -BAy8KmAeAAAAAAAAAAAAAAAAAADAEhAhVQXMawW2QyCQaSK8EVL0Q0UD81qB -7RAI0sYG4lrdjXv1Q3lh9kwjHCGFea0Iuh0MyQLP3U2v8H0Ug9K0cXS1h4EZ -IfVM5To8nkse1K1naneElIVo827APBfhtsNFsrhzd9Uruo7tE9lR6UAVdfu1 -pyK7d+yZyu3+cO55ULeeqcERUpn5V7/mGVhkPlZf8cace37Q88+vuynr5xuP -dg+0XbFcZf6kiSsr+F+khd0OVq5XxLkz9AquY+sUlQ5cUU9gmvZQyO8de6Zy -ux0QIw/q0jM1N0IqN//q0zwLe8zXH1r15NpPv2pq/mb32jG9vpuR+vL9Mm3n -yrdsKa/ltxZ2Oxi5XiHn7q5XcB1bp6h04Ip6AsO0h0R6/tU7lcuPW89Uxwgp -B5Lzr1E1z8y/Nldv31Z16dl4cc8v+qaNLgv2KUpOV6qqqkJvByPXK2LqWHp9 -7yO7sWtFVDquoXa5SM6/+u6Hqm77WtM7jqx57l/hW7frsVvu/Kc/OBhqrvm4 -6PFRw8ctW7He6ZVn69mdhXOnPjR9zrzcpa+Vn+O6UogP6TpCNdgekqMWldbg -eiIGiflXn/1Q9W1fa3rH0TXPeS+Ind0x+965ZS5fW68tHddvyOqSgkOpO9Nw -OC8rfUrxl74uIqJDus6L0A22t+ToRKV1uJ4IQY/8qzWroHesahV/+de2s5/k -ZRcdcXvX7MLuGemZC0vWfJb6XvHF8tk3XZN2z/hJ7UyennfY8fmiBIJN5JWs -x1XFgqlOwtvyDocm+Vf7VmGhU/7VvlW8X7LG6it+taxor/s3UNqfFQMHzt7y -aunp1O+U1+4Y1avvE3v0uQV0QjnYbMmaXFVsmmoCNMm/2rcKJ8rzr/at4nUv -aPrju/nrdya/H9RWe6Dk/VPdJ76pcnlm+tTNBZt2l2070P3bJY1H827rmZlf -of6jvu5QDjZbsiZXFZummgId8q/2rcINesfCYV6mWmt+M+uHf3b1VZe4usft -DpephiMvDL91/KMT5hTtr0t9AztWt2/dtJHDxs54duHiJflbq2R/HMwJ7WB7 -3HB1uKrYNdV6YFMP16wIqU1OzDJvHMbptSNtbJz2UNjUwzUrQmqTE7PMG4dx -eu1IGxunPSQ29XDNipDa5MQs88ZhnF470sbGaQcAAAAAAAAAAAAAAAAAAKAD -cVJVwLwqYF4VMK8ziJOqAuZVAfOqgHmNQZxUFS7mxTkJGOr1izXmMfPSgXlt -QZxUFa7mxTkJGOr1icbmZQd5XcHMOwLzUpEZ3kWc1Anu8C7zQTwau0IawWFC -vdwoyMLyzbzsIC8LzLzTg8C8TOSGdxEndYA/vMvCw7wQJ2FCvfyQZ2E5Z152 -kJcFZt4JmJeI5PBuVOOkJOFdtnkRTkKFermhzsJi5i9j28zDfHBkh3d9YFec -VEB4txOYFwpmHjMfVfPuSA/vcmNdnFRIeLfjX8C8UDDzmPmomndHo/CuhXFS -AeFdimO20LwhsWkLzWPmaVfxZ56BTuFd++KkAsK7HcC8SDDzmPlomudGeXjX -vjhp+PBuEpiXBGZeOJh5+lWS0N0LECf1T/jwLsUx22ieE8y8cDDz1KtcRuC9 -gAnipKqAeVXAvCpgXl8QJ1UFzKsC5lUB8zqDOKkqYF4VMK8KmAcAAAAAAAAA -AAAAAAAAALABFEhVAfNage0QCGSaCG+BFPFQ0cC8VmA7BIKusYG4FEg7YMVD -+WHETCNdIIV5rQi6HcxWr2ADbqoF7qYYlHaNo6s9DMwCqWcw1+HxXKrHLjFT -2wukDESbdwPmuQi3HW6tXsEGXFWL202fyC5KB6qo26/dGZm9Y+94aLeHc68e -s2KmhhVISXrHPs0ziKL5xsr8SRNXVvC/Dgy7HW6SxRpgqE4gpJHdfi7Hi5cu -XLm+aF3eU4/NLz7JeDzZRenAFXUTtYdGbu/YMx7aFVb1mBEzNaxAStJ+9Wme -RRTNt50r37KlvJbfWtjtcJEs2IC76gRCdrP92vrmvXc803G5i53ZNjrjkV2u -By27KB24om6g9tBIbr96x0P5YcRMtSuQMiFpv8K8A6LMx3O6UlVVFXo73CQL -NcBSHRezm4k3VQoHpQ17paL9YFtObhg5eMEh/++yK+8a66hdSNfYDdntV9/x -UHWdU+Lq7mVktV9h3gt38801Hxc9Pmr4uGUr1ju98mw9u7Nw7tSHps+Zl7v0 -tfJzXNdNkRVdT5SrbjuzPTvjhu+PXVSwNDtn4yHGb++3o2vstZYo7RJ/N7X0 -9qvPeKjKziltdbfziGS1X2He64iY5mtLx/Ubsrqk4FDqc6LhcF5W+pTiL31d -RMRVdL2X0kN1/YGXhqdf26PniNwPvnL7SNSOrrH3WsK0S7sXaNR+pVlFm+pu -5wGpb7/SrGKa+Qu7Z6RnLixZ81nqW7gXy2ffdE3aPeMntTN5et7hi2JPIzRS -VfNKbjqx4eExaw7X1ZTmPdDruswFex0tWTB1NGsJ6xq7oVP7lWYVXaq7SfRo -v9KsYpj5+gM5AwfO3vJq6enUr3rX7hjVq+8Te3S7BXSig+p2fxmDViW+PxmP -1ZZOu7n/rHInXzZNHc1aBP0y5e1XmlV0qu7q0n6lWcUs802VyzPTp24u2LS7 -bNuB7t/3aTyad1vPzPwKXdskOqhuOpY/eMDM5PWkqXLFkKHOOUubpo5mLfX3 -AjsKoRpVd7Vpv9KsYpr5hiMvDL91/KMT5hTtr0t9AztWt2/dtJHDxs54duHi -Jflbq9R/KfwKNFEdu3CwcPbEmc+vKSx4eX7O6wcvOFwcbZo6qrWousZu2FEI -NbFACvPAFwaptmnqDNIeCjsKoSYWSGEe+MIg1TZNnUHaQ2JHIdTEAinMA18Y -pNqmqTNIOwAAAAAAAAAAAAAAAAAAABEok6oC5lUB86qAeZ1BmVQVpOaTwH8H -mHlVwLzGoEyqCtfArlgngVu9/rDAPGZeOjCvLSiTqsLdvGAnQVu9/tDSvOwa -ryuYeUdgXioye8cokzohvXcsOBMctNXrC9ImLN/My67xssDMOz0IzMtEbu8Y -ZVIHpPeOBTsJ2ur1B2ETlnPmZdd4WWDmnYB5iUjuHaNM6gBB71iok+CtXj/Q -NWEx812hiCCTNL5hPgSye8c+iGiZVFbv2Dc0/jUwj5lX3ZvWYOYjat4d6b1j -bqJaJpXWO/YJjX8dzGPmVfem1c98VM27o1HvOKJl0sj0jglW4TOPmVcXQb50 -KOpnPqLmGejUO45imTRKvWPKVVjmMfNqe9N6zHwUzXOjvHccvTJptHrHlKtw -vjuHmSdHl5mPnnkfKO4dR65MGrHeMeUqou4FmHnBaDPzkTMvEJRJVWFH75hy -FVFg5lUB8/qCMqkq7OgdU64iCsy8KmBeZ1AmVYUdvWPKVUSBmVcFzAMAAAAA -AAAAAAAAAAAAANgACqSqgHmtwHaIBT6Ng7dAinioaGBeK7AdYqHOeWNfwuJa -3Y17xUN5YcZMI1wghXmtCLodnq1eNzN+8NgsHSWzfApxEidpeRtoPhjMAqln -Ktfh8Vyqx24xU8sLpAxEm3cD5rkItx2sVq+rGR94bZZhUWkhThLIb3nrbL47 -MnvHnqnc7g/nXj12i5kaWCClaL/6Nc8giuYbK/MnTVxZwf8zTtjtYLR6Pczw -wbVZ5kSlhThJIL/lrcB8QOT2jj1TuV1hVY9dYqYGFkhJ2q8+zbOIovm2c+Vb -tpTX8lsLux2MVi/bDB9cm2VQVFqEkwTyW9705gMiuf3qncrlxy1mqmOBVHXv -GOYdEWU+ntOVqqqq0Nvh3ur1MMMJz2aZE5UW44Sm5S3SvDxkt199x0NVt32t -6R3DvBfu5ptrPi56fNTwcctWrHd6Ndh6dmfh3KkPTZ8zL3fpa+XnuJ69YSq6 -/syQ7KPyqLQoJzQtbwOQ3n71GQ9V3/a1pncM817HwjRfWzqu35DVJQWHUp8T -DYfzstKnFH/p6/IRpqLrxwzNPqqPSotyQtPy1h+N2q/WrILesapVhJq/sHtG -eubCkjWfpb5/e7F89k3XpN0zflI7k6fnHb4o7hTCI3sfjYtK0yxBsIqwtLEj -OrVf7VsFvWNVqwgwX38gZ+DA2VteLT2d+j3v2h2jevV9Yo9Wt4BOyOq6pkSl -aZYgW4UA5e1X+1ZB71jVKuHNN1Uuz0yfurlg0+6ybQe6f6+k8WjebT0z8yu0 -rJKQ1XVNiUrTLEG2CgGK26/2rYLesapVRJhvOPLC8FvHPzphTtH+utQ3fWN1 -+9ZNGzls7IxnFy5ekr+1SvE3wq+AsK5rRlSaZgmyVdRjUw/XrAKpTU7MMm8i -xhkmOGDMtkhs6uGaVSC1yYlZ5k3EOMMEB4zZFotNPVyzCqQ2OTHLvIkYZ5jg -gDHbAAAAAAAAAAAAAAAAAAAAakCWVBUwrwqYVwXM6wyypKogNQ/tVwDzqkBU -WmOQJVWFi3lBQuI80WSkeK/8Y5iXjuLGd4KImvcEWVL5BAjChheSwDOabHuK -1xmYV4XqxncCC81TVHeRJWUhMwgbXkgCL+2mpXgpZh7mnbCk8R03zzwHJNVd -ZEndkRuEDS0kgad2w1K8JDMP8w5Y0vhOYJh5Dkiqu8iSuiI5CCtACId2w1K8 -JDMfVfNMrGl8G2feL7Kqu8iSuiE7COuDENpNTPFeRtbM+8Au89yY3fg22bw3 -0qq7yJK6ID0Iy00o7QameDsPR9bMc2OdeU4Mb3wbbN4bPaq7UcqSahSEpdFO -sJBxpWkLzfOkeDUwT7YK2RaLQZvqboSypDoFYcmEaJHiTaLHzNtn3hs9zJOt -opF5bzSq7kYzS6o8CEsmRJsUry4zb595L3QxT7aKNuY90am6G9UsqeIgLJkQ -XVK82sy8jeaZaGOebBVdzAsEWVJVyD5gMiEwT/z49AuJwppLgXHmvUGWVBWy -D5hMCMwTPz79QqKw5lJgnHkekCVVhewDJhMC88SPT7+QKKy5FBhnHgAAgPX8 -fzGuxsg= +1:eJztnXt0VVWe53Wm1/Q01a7ysagGWaxqEaoiqOmUxUMMFD4ay54CBHqAFsYH +iwahymgEDR0XD0U6Io+wUEgPMQ6UWN2iodLSlpZNywpmbAtwwhuKBFFEEoli +IJB37p3cXIgk95x99jln799+nO/nj17VQN19zmf/7jk3997K54bpj0+Y+V+u +uOKKuf+9/f9MeCTnzieffOQfJl7d/v/8z6y5s2dl/f2M+7Lm/f2sv39y2PT/ +2v6HO6+84oo/af/3if8cBwAAAEDjF1s2/Pr19YtnPvOftTHVBxNxsBdKgHYA +2jm7+x9eLPu2zfPfteFZIh3shRKgHUin+fSOF++7Y9Ghhnj9gZyR97/3dfdh +aju3/43Cze+/v2nRI89/fPbyv401fPb7V1/f+rsN835y7bV/+aMf//iWe/7x +jw2df91as+25v/vZrX/5/Wv63XTzkL97+6vWgIfYem7/v8z+2ain3v869RFa +TmyYOP3D2nj8fHnWyAc/OhtwCZkwDAtTFGKb/GHOXkA7AH6p3TFt9MufNlRv +nf7cznPdbgVtZ/7jl2NePtbU/lPqkedHPfDRuc6/idV+OHf8y5VNiWEsuvsX +73a/ibQ1VNc0xur3L5q88UQLz2E0HNvw5Owlpd90nfaGiqLHn9lyou74usyh +L1Y0dfvvxL5+d+Lf/POp1njjH58fds+b1d4vnLyItYR4ZeV8Cq6GBSmKh9km +PwtR70VYoB1YS0vVW1Mypv3hnOs/aKzMnzxpZYW/lx8Nh//xFws/3vXrDfu6 +3wnibV9t+ZsRyzvm78KeJ+/J3V/f+Vdn/mPCHQsPJVZqqlh5z0P/6XhQjUdW +TFn/abP3McTO7V7yP6Y8m//L+x5548vvnqCxmnfGj8w72hiPn/vogVFL/9jY +7b92fvec0Xntf9r65WujhnX8u8DEmk6VFWb//Kf3l9V2/fP6ynfycxflv/rb +7QfPsV5AupxCAobh0IoShN0mroUI96Ld2PHipQtXri9al/fEI/OLT3LocXoQ +aAd20nKqeEZmz75TGPeCtrPlW7aU1/p7bdBw8Nk7py14vbI+9a/OfTR5wO2b +vmy/BJ7fu2Ta2srvXpS0Vb951+3LEs+DxsqCv1v8/+ocj/jzV+594N/PeL8m +av3mo99sr2pOnMDet0o+7TyS5uMvZY56rX39C/ueu//5g92PsP2l0O1//buv +Y03H/vedA//XH86FeE0Uazx98tSu7P69R++47F7QUv129qg7n3n/tPfrR7dT +SMAwHFpRgpDbxLcQ3V60X9dev/u2pzourbEz28akP7SL47hTgXZgJc0n33pm +9TvLf9KfdS9gkNOVqqqqS39zbtcvH910wuklUsPhRbf0GfqLRRvfLnl9w/bq +Lv+k5dRbs8fP3/Bvb2969d9Purwaafni/9z9o/veqQk+oE3HCx+e8o//Ulz0 +8tufNnR/5rae+uc7035217Qnnl2eP+62cSv+9Xg968nd+tXWWY/tZMhrf14N +7HPZvaCxYlVm3+FrP+3+Y7lv3A0LUBR+mzgRuRdsWk4UDu4z/KWK9uNtOblh +1JAFhwK90Q7twEKaT7yRu/7I2ePrbnO7FzTXfFj06OgR45etWO/0Qqj1252F +c6c9MCNrXu7SV8rPcj0HWj5fP2LYisrQl0Jvmr54J3954aa1s37U47/9xehf +Lfn1cY4nf+zr9/727rXHud8/aD3567/+xQffuv+DbveCs2VTr+/Rd8qiZ+c9 +dG/6oHue2lrN+ukg0Cn4wP3xBW8TyV540HZme3b6dT8ct6hgaXbOxkMX3K9v +0C5QO9Cfps825RZVNMSbP3O/F8TjtaXj+w9dXVJwKPXvGw7nZaZNLf7S19C0 +/3R6+189fcDhxiKW2LmdTw352frPm+ONRxbf9BfD36jiulMlnge3P72f//B8 +3gvaX/alXXvr6o6fClqri8f0vn78779xuSgFPAVuWI8vdJuo9sKb+gMvjEi7 +ukfPkbnvfeV2D4Z24dqB1jQe25i78dPED5rMe8H53TPTMhaWrPkk9V3QC+Vz +briqz10TJrczZUbe4QuyD9kPbTX/9vO+6R0vsOp2TR804hW+L3dw03Lqzen3 +/izB7WnXXJd+R8d//Jtf/d/U/81Ot3vBwfkDfpC5tabjn8VOl9zR88bsfc5P +O9mnIPvxyRb6bi8uw2Evmk5seHDsmsN1NaV59/W6JmPBXseJhXZOeLUDzWk8 +unxU+i3pHQzs2+NPrx5w652P7znf/Z/VH8gZNGjOlpdLT6d+2aV2x+he/R7b +o9UtoJOWL4oG97qtffzbat6b/bd55XWyBtTnzwVt1W9m9k5fffHTgtod9/a5 +afER57d+ZZ8CmSKyhdi0z3L64FWJ72rGY7Wl028cMLvcaXahHUSWlhOvDBng +/HNBU+XyjLRpmws27S7bdqD7twkaj+bd0jMjv0LLL5y11R38l9w58156419L +PjjGeGc4NBz3giWXf17QWl08tt+w5EfHTcdWDRm8IOVbHBeRfQpkisgWYtN0 +LH/IwFnJOW+qXDF02HLHt+WhHUQWxr2g4chzI26e8PDErKL9danvNcbq9q2b +Pmr4uJlPL1y8JH9rlT4fNrV9/d7DN/W97nt/cmU7f3L1T+byfP8uGOx7QXPN +3neXjbz2ewPmbv742IWkwtavP3h+6sSspWvX5j05/7WjLl/RkH0KZIoI98KD +2PmDhXMmzXp2TWHBi/NzXj143sE8tANgD81V776wpPjz5M8rsZYzu1bP/5jx +wl1HZJ8CmSKz9gLaAbCH1urie/vfU3I6+SK8ra5i27/++5davo/liuxTIFNk +1l5AOwA2ETu/f/n9N/Xq+1ejp8yav2z9lk++kfQ9DXnIPgUyRWbtBbQDAAAA +AAAAAAAAAAAAAAAAAAKCYqwSoF0J0A6AGyjGKgHalQDtQCTMFLLQnKt7NzaC +0WRoVwL6yMAWKEO9QnOucUY31tBocligXSqys9SuoI8MpKIi1Csu55qA0Y1N +YFA0WXKoF9rd4NcuO0vNAH1kIBUVoV6BOdcE7t3YjlMxJ5osOdQL7W6HwK9d +dpaaBfrIQDrkoV6BOVd2NzZuVjRZcqg3utrZoI98GaSJcKAbWod6vVYR1o3V +IZqsT6jXaxWztHugj3a7+sieyQ+gG/qGer1XEdSN1SaarEWo13sVw7R7o4N2 +6/rIuBcYh7ahXrJVdIkm6xHqJVtFl1CvHtot7CN7JcKBbmgb6iVbRZNosiah +XrJVNAn1aqLdvj4yfi4wDm1DvWSraBJN1iTUS7aKJqFeTbTb10fGvcAs9A31 +kq2iTTRZi1Av2Sr6hHp10G5jHxn3gmhAE1olWMWsYiy0KwF9ZACcoQmtEqxi +VjEW2pWAPjIAbtCEVglWMasYC+1KQB8ZAAAAAAAAAAAAAAAAAAAAgIiC3qsS +oF0VMK8KmNcc9F6VAO2qgHlVWGgevVcloG6sCphXBdN8AverBD8eOxhN8/yg +9yoVmqi0K1GtGzOAeVW4mU/gfpXgx2sHbTffUvXWlIxpfwheIULv1S9SM7sB +nDCwqW58EWkDD/MeyLzUeOjig2sHTTTPRcup4hmZPftOCbNB6L36Qm5mN4AT +FvbUjS8dsrSBh3k2ci81bF18cO2ggea5aD751jOr31n+k/5hNgi91+6gbswN +Xd24A6kDH13zHIFjyZcaD12c8OygXuZF0Xzijdz1R84eX3eb5wah94q6sZwl +GAiuG2s18F6rmGXe85dUyzbvT5fqzWUgfOa5aPpsU25RRUO8+TOvDULvFXVj +WUuw/muC68b6DLz3KoaZ9xh46eb96FK/uaz/mviitzeNxzbmbvw08WOQ5wah +98oJ6sZKluCrG2s08GSr6DHwepm3Y3N5i948NB5dPir9lvQOBvbt8adXD7j1 +zsf3nHdeF71Xn6BuTLyENzoNPNkqWgy8Zuat2VwZtJx4ZcgA5s0avVefoG5M +vIQvlA882SqaDHwnOpi3ZnNl4LFB6L36B3Vj0iV8onjgyVbRZ+Avod68NZur +APRelYC6sSpgXhXWODHOPBfovSoBdWNVwLwqrHFinHlO0HtVAurGqoB5VVjj +xDjzAAAAAAAAAAAAAAAAAAAA4CKojsoGhmUDw2RAtQB0rXbyVkeNQEvJVhnW +EgvLuboeKoY5GN7VzsAVY9nVUc+yqjawJIcp85J0XYUEauUSorGrg2GDyrm4 +XNiLZ7UzeMWYojrKKqvqg5fkoGVekq6riEAtAcEau8INO6NtOdcvOl0unLHg +cuGJZ4S0sTJ/8qSVFT5zD17VzrAVY8nVUVbEOQCKJIcq80o2LCRQm1yovuK1 +rLt+1PPPr7kh85cbj7p3oAJJDtbYFWvYBcpyrlzJ+lwuXKC9XKiBI0LadrZ8 +y5byWn8vKjyrnSErxrKro4yyqn+USQ5T5pVtWESgtoP6Q6seX/vxV03N3+xe +O7bX99NTXx9fIpDkQI1dsYbdICznSpaszeXCDcrLhRoEREhzulJVVZX4U89q +Z9iKseTqKCvi3AWa0mtAyaHKvJINiwnUttNcvX1b1cVLw4U9v+rXZ0xZsPfF +nSUHbOxqYFhks1iy5MhcLrTFO0LaXPNh0aOjR4xftmK90y2v9dudhXOnPTAj +a17u0lfKz34n2rPaKbhizEBy21RA6VWaZCIIArW81O165Kbb/+lzByVBJTPQ +fIaFN4svIV5ydC4XmsIXIa0tHd9/6OqSgkOpf99wOC8zbWrxl6lb6FntFFox +ZiC/bSqk9CpHMgkEgVr+Y/l2x5y755a5fPM7kGQGms+whEh38nHFS47Q5UJL +OCOk53fPTMtYWLLmk9S32i6Uz7nhqj53TZjczpQZeYcdo71qkVcdFVp6NViy +1K6rv6hrW+1HedlFR9zeBzFVsh7N4s6jsVNyEorLRfg8sXA4I6T1B3IGDZqz +5eXS06lfya3dMbpXv8f2aLinnRBURwWUXk2WrEvXNVZf8ZtlRXvdv8RhrGQt +msVJ7JWcRJdhVgcjPNdUuTwjbdrmgk27y7Yd6P7ZfuPRvFt6ZuRXaNxpIKiO +hq/7GS1Zj65r0xdv56/fmfzqSlvtgZJ3T3V/Z9lcydo0i22WnESPYVYJ4zLV +cOS5ETdPeHhiVtH+utR3zmJ1+9ZNHzV83MynFy5ekr+1SvmHmN0gqY6GvxcY +LFmLrmtrze9m//jPrrziIlf2uHV56oeMpkrWpVlsteQkWgwzkIGd1VGdgGHZ +wDAZUG0ttlZH9QGGZQPDZEC1xaA6KhsYlg0MkwHVAAAAAAAAAAAAAAAAAAAA +UQf1UtnAMBmmqzb9+AEvWgZMbauX6ifZNsNxHSUnMV21Gcev6+5rDlK8BASW +nMDtHOUb9thizZAiWbAEF9XCtlI2QVPC0mfYI8Rs1iQrQpsUrzNWpHgDS07g +eo7SDXttsWZIkSxUgqtqQVspm8ApYXEz7BzsjnvsvmGT7IrigClNitcFS1K8 +gSXHPc9RpmGuLfazlomSxUnwqh6H3cquiC93B08Ji5phl2B3B8zdFz3JilAd +MCVJ8bphSYo3qOQE7HOUaZhri31gpGSBEjyGOfRWdnkwCeXu4ClhQTPsFuxO +wNx90ZOsCNUBU1tSvFpXYgO2euOSDfNscRdslOxbgjvsFG/4rexEUrk7aEpY ++gx77r7YSdYBBQFTIuSneHWuxDIQFpAl6cNGXXIS1SleeeXuYBDMsPDrGPck +q0FFwJQEkhSvxpVYBoICslR92EhLvnggqlO8EsvdwSCYYfHXMa3vBfYGTIlS +vBGuxCLFS4bqFK+15W7ZM5zE3yQrweqAKU29NMqVWKR4yVCc4rW33E0sVtef +CywPmNLUS6NciUWKlwx9UryWlbuJxWp5L7A9YEpVL41uJRYpXjJ0SvFaVe4m +F6vlvcBuUC+VDQyTAdWSgFj7Qb1UNjBMBlRLAmKjAOqlsoFhMqBaEhALAAAA +AAAAAAAAAAAAAABABwKmBEAyAZBMACRbjBkB0yTGZkwhmQBjJBtrOG6KZJMN +q0N0wFR0WpSVMTW9EpsksEmaVqznJOhCkEnWwnASM8rd6B3biviAacC0aKCM +qQ2V2BAmxZ1+mFKwJgSaZH0Mm1Hu1qB37EokeseXMCRgGiAtGjhjmkBMJVZe +ijd4spmkKN1BiFKwH5RJVtrs7sDLsAnlbvW9YxZR6B1fxJSAaYC0aOCMaQIx +lViJKd7AyWaaonSCMKVgH6iTrLTZncDTsAnlbuW9YxZR6B0nMShgKrAPyxOx +5Y2lqkvxBk420xSlw5WCfaBOsuJmN4dhM8rdEeoda4u1AdMkJBlThSleBoJN +MiBsxXJAKpmIEIZNKXcHw8TesabYGjBNQpUxVZfiZSDUJAPaVqz34ZBKJiGU +YVPK3cEwsnesJdYGTJMgxUsAnWRWirfzaCyUTFDjjfgkU/eOeSaZGHsDpkmQ +4iVAcYT3ciyVTGk4mpOs0QxrgGUB0yRI8RKgTYTXWsmUhqM5ydrMsBZYFTBN +ghQvAbpEeO2VTGs4ipOsywwDSSBjSgAkywaGZQPDloOMKQGQLBsYlg0MWw8y +pgRAsmxgWDYwDAAAAAAAAAAAAAAAAAAAQAcCpgRAsmxgWAnQbhNmBEyTGJsx +5ZVs7Akqh3qMsVMdQLtFoHdMAKt3HLyEK+T0w+SANSJgUdoX0kfRvL2AdmvQ +pnfsivW94+AlXN+n7xaVDpoDDkasJcTDOJ9C0KK0jyXigkdRj70IB7RTY1jA +VHBalKh3fAnyqHTYEi736TOi0qFywPzEmk6VFWb//Kf3l9V2/fP6ynfycxfl +v/rb7QfPsV7XuZxC8KI09xIdiBtF9XvRvtDx4qULV64vWpf3xCPzi0/6fwJB +OzmGBUwFp0WJeseXHow+Kh2yhMt9+qyodJgcMD+xxtMnT+3K7t979I7L7gUt +1W9nj7rzmfdPe7+sczuFwEVp/iUSiBtF9XvRfmF9/e7bnuq4PsfObBuT/tAu +348I7dQYFzA1sXecREVUOmwJV0QrNlQOuAuektuf2AP7XHYvaKxYldl3+NpP +w/UPAxel/SBuFJkI2ws2LScKB/cZ/lLiN1O3nNwwasiCQ/7fAod2p+P1vs4I +wbqAaRI9esdKotJiS7gs3CULxFNyt3vB2bKp1/foO2XRs/Meujd90D1Pba1m +/XQQ6BT8CaQp6pLshQdtZ7Znp1/3w3GLCpZm52w8xCgCQLsfuGvUobAtYJpE +k96xmqi04BKu+zoMySLxeS9of+2Ydu2tqzt+KmitLh7T+/rxv//G5aIU8BT8 +CKQZRaq98Kb+wAsj0q7u0XNk7ntfud2Dod0nFPcC6wKmSfToHSMqHQr+FG+3 +e8HB+QN+kLm1puOfxU6X3NHzxux9zs97gtwtTVFXl/Z004kND45dc7iupjTv +vl7XZCzY6zix0M6Jvxp1GGwMmCbRoneMqLQgfP5c0Fb9Zmbv9NUXPy2o3XFv +n5sWH3F+U5bgFGgsadLtbZ/l9MGrEl/4jMdqS6ffOGB2udPsQrtfJP9cYGfA +NIk2veOLICodBo57wZLLPy9orS4e229Y8qPjpmOrhgxekPJ1lIsQnAKNJU26 +vU3H8ocMnJWc86bKFUOHOaQw49DuH5n3AksDpkl06R1/B6LSYWBLbq7Z++6y +kdd+b8DczR8fu5BU2Pr1B89PnZi1dO3avCfnv+b2P54hOAUaS/p0e2PnDxbO +mTTr2TWFBS/Oz3n14HkH89DuH5rPjq0DGVMCLJBMcAo0lszaC2gHRCBjSoAF +kglOgcaSWXsB7YAMZEwJsEAywSnQWDJrL6AdAAAAAAAAAAAAAAAAAADAchAn +VQK0qwLmtQLboQ+kcVKUSS+BJqwqYF4rUP3WBpc4qbhqcPB0Lz/mxUnRhFUF +zGuFnOq3QAkM1cak1XlwjZOKqwYHT/e6HLJRcVKCFK8raMKmAvNaIav6HVCC +T9WapdU9U7wsvKq7QqrBIdO93Y5YgzgpfxOWIMXLwsomrMyBh3kWRlW/A0gI +oDqB2LR6cDhSvCw84qRCqsEh071d0SBO6qMJS5DiZWFjE1buwMO8O2ZVvwNI +CKA6gdC0enDCp3jZaWMRzdCw6V5+0ITtioVNWMkDH1XzHBhX/RYrwT3yLmYr +w+Kd4u1EdtMzRJlUVAKVDjRhFTVhZQ98ZM17Ynn1O4keqoPAl+JNILvpGapM +KiqBSguasBIQ0p5OAPNisbv6fXE1PVQHgTPFm0B205OmTEqwEJqwSlYR2p6m +OGCaJQhW4Rt4y6vfSeSp5r2qBIYzxZs8GMlNT7JmKJqw9EuQrRIX0p6mOmDL +zLOwvfqdRAvVoWHkF5PIbnqSNUPRhKVfgmyVuIjeaBKYl4SV1e8kuqkOhsdT +Q3bTk6wZiiYs/RJkq3Qg5l4A89KwsPqdRD/VEpDd9CRrhpoVJ0UTVhUwD/wS +CdWym55kzVCz4qRowqoC5oFfIqJadtOTrBlqVpwUTVhVwDzwC1QDAAAAAAAA +AAAAAAAAAAB4gAKpEqBdFTCvBGjXHwRhlQDtqqA2H4f8BBh47VEdhI1oqxTa +VeFqXmw4WHH4WzvzGHiRxFpC3OkIUrxu/VB2yTSKrVJoV4W7ecHhYMXhb2Xm +dU1+2zLwsaZTZYXZP//p/WW1Xf+8vvKd/NxF+a/+dvvBc6wbEEGKl9EPZZdM +jWuV8heQXYD2EEgrIAsOB6sOfycgH3idk9+mDny3Q2o8ffLUruz+vUfvuOxe +0FL9dvaoO595/7T3/YcgxcvqhzJLpqa1Sn0UkN2A9sDIKyALDgerDn8nIB94 +nZPfhg68E+3nObDPZfeCxopVmX2Hr/00XPNNhyCsdq1SdorXlgKyYdo7kFpA +FipEffg7joHXfOAD0+1ecLZs6vU9+k5Z9Oy8h+5NH3TPU1urWT8dWBOE9VpL +CB6/TjmCBWSvtYSgvIDsG1vC3xh4v2uppeu9oP1Wmnbtras7fiporS4e0/v6 +8b//xmWPrAnCeq8lBu9frR+pArL3WmJQXUD2iUXhbwy8z7UU0+1ecHD+gB9k +bq3puPzHTpfc0fPG7H3OGqwJwspeiy/FG7kCsuy1TCwgk60idSEMvJK1wjeR +u94L2qrfzOydvvripwW1O+7tc9PiI87vgVkThCVbi/0yKWoFZLK1DCogk61C +sxAGXu1afmn845LLPy9orS4e229Y8qPjpmOrhgxekPLp/EWsCcKSrcV+akSt +gEy2lkEFZLJVaBbCwKtdyxfNNXvfXTby2u8NmLv542MXku9btX79wfNTJ2Yt +Xbs278n5rx2tdz5ca4KwhGt5XJQiVUAmXMuYAjLZKlQLYeBVrkWENUFY+rXC +AO2qsCxPbIp5DLzuWBOEpV8rDNCuCsvyxKaYx8DrjzVBWPq1wgDtqrAsT2yK +eQw8AAAAAAAAAAAAAAAAAACAqaA6qhXYDrHApypg3jhQHdUK3u2ARj5Ixxub +chmoSJsGqqNawdqOUBqFGGAYTiJoYMTh4lPcPKif7SSmmKesSEd05oOB6qhW +sLcjlEZhBlwMJxcRNDCicPXp2wZlQtoNK8wLfr4z/Uds5qXFXuOojrosXl/x +WtZdP+r559fckPnLjW6/9imxXGX+5EkrK/hf8HhshwCNIgwwDAsbmE5kjje/ +DcqENAM7zIt9vntWpM2b+YDIi70mQHXUgfpDqx5f+/FXTc3f7F47ttf301Nf +vl+i7Wz5li3ltfzvl3psR3iNQgwwDIsamEvIHW9uG5QJaRZWmBf8fPesSJs2 +8wGRGnuNbnWUGXttrt6+rerifl/Y86t+fcaUnXX+lx7kdKWqqspjOwRoFNJd +dTcsrNibRPJ4C7GhyWybZJ62Iq3TzHP0uwMiO/Ya2eoo569KTuSNHrnp9n/6 +3OHMmms+LHp09Ijxy1asd3ot0frtzsK50x6YkTUvd+kr5We5xlS8RgYEA+OF +Ri1j7WfbWvNeq4j0L98894XFJ9Jjr9GtjnJuWezbHXPunlvm8s3p2tLx/Yeu +Lik4lLozDYfzMtOmFn/pa4JFa2QtJX9gPNGnZWzAbFtq3nsVcf5JzMu5F+gV +e7WtOsqOvV48jtqP8rKLjrh9cnx+98y0jIUlaz5JfaPyQvmcG67qc9eEye1M +mZF32LEVqxCpu8mXdtVovO2Y7biB5q1Zxd+FxS+axV4tq456375j9RW/WVa0 +N/WbSpeoP5AzaNCcLS+Xnk79QnPtjtG9+j22R7dbQCfqu646jbdls+2BTubt +W0XWe0SX0CH2all11GvLmr54O3/9zuT3g9pqD5S8e6r724VNlcsz0qZtLti0 +u2zbge5fbWg8mndLz4z8Cl1jGFp1XZWPt2WzzY9y8/atovhegOqof5hb1lrz +u9k//rMrr7jIlT1udQh/Nxx5bsTNEx6emFW0vy71fcdY3b5100cNHzfz6YWL +l+RvraL5OJgTzbquisfbutnmR/2FxbJV5N8LmKA6CnxhlmHZR4vZdsOmirRZ +5gOC6ijwhVmGZR8tZtsNmyrSZpkPDKqjwBdmGZZ9tJhtN2yqSJtlHgAAAAAA +AAAAAAAAAAAAQDrIkqoC5rUC2yEQyDQRBGFVgSCsVqA0LRBU1A0EQVhVIAir +FcFL0wnczlG+YbHTIgjVFfWIag+DuCCsKwjCOiI6COsKgrA8hChNJ3A9R+mG +BU+LT5wzxEIr6nqWjtVq7wp3dZf5IKKCsCxsC8JKNy/WiUVBWE1L03HPc5Rp +WPC0tC90vHjpwpXri9blPfHI/OKTjKN2yRCLrKhrWzoWrj04/NVdFqKCsCxs +C8JKNy/YiT1BWE1L0wnY5yjTsOBpab+wvn73bU91XJ9jZ7aNSX9ol+sjumWI +BVbUtS0di9YeAlHVXQRhnQ6ZoneMIKxftC1Ne56jVMNin0HxlhOFg/sMfynx +G9VbTm4YNWTBIf9vgetQUY/rpl1e7Pgy3Ku7nSAIKyVLqoF5r1XMCsJyo1dp +Wtg50kwLm7Yz27PTr/vhuEUFS7NzNh5i/DJ/ayrqJNoJfmE1u7rb8S8QhJWS +JVVv3nsVw4KwvMeiV2la0DnSTAsP9QdeGJF2dY+eI3Pf+8rtg1drKupU2qXf +Czyqux3/BEFYPoT2jqUfrU2r8KV4Ow/FztK07H3kldx0YsODY9ccrqspzbuv +1zUZC/Y6WrKmok6nXUbsuBPP6m7yYBCE9YmA3nEHNqVa1ad4k9hbmtbEcLu/ +9MGrEl/4jMdqS6ffOGB2uZMvayrqZNpl/lzgXd1NgiCsX8L3jpPYlGrVI8Vr +c2laD8PxpmP5QwbOSqYtmypXDB3mkHCNW1RRJ9Mu7V7AVd1NgCCsf8L3jumO +1qZVPLC6NK2F4Q5i5w8Wzpk069k1hQUvzs959eB5h+ujNRV1Qu1KY8dxBGHV +YVOq1SzzJmKWYWsq6mZpDwWCsKqwKdVqlnkTMcuwNRV1s7SHBEFYVdiUajXL +vImYZdiairpZ2gEAAAAAAAAAAAAAAAAAAIhAmVQVMK8KmFcFzOsMyqSqQGla +FZh5VcC8xqBMqgrFpekE4ffXJvNJMPMSgXltQZlUFapL0x1LiSkRa2ueoMbr +CmY+FZiXSkvVW1Mypv0hmDeUSQNgSWk6Lq5ETN2E5Zt5ghovC8x8yoPAvExa +ThXPyOzZd0rAewHKpP6xpDSdQFSJmLYJyznzBDVeFpj5FGBeIs0n33pm9TvL +f9I/6L0AZVLfWFOaFlgipmzCYuYvx6KZj6p5IR3k5hNv5K4/cvb4uts8nxco +k0pBg95xCO2i9lcgnr/XFzNv68xH1ryA32Xd9Nmm3KKKhnjzZ17PC5RJ5aC+ +dxxKu6j9FYnH8wIzb+3MR9d86HtB47GNuRs/TfwI4vm8QJmUE6HVXYoDJitN +69GExcxj5omWIFhFWAe58ejyUem3pHcwsG+PP716wK13Pr7nvPOiKJMKR4/e +MZkQLZqwmHnMPNUSZKvEhfbOWk68MmQA8zUSyqSC0aV3TCZEtyYsZp4cXWae +ZgmyVeKU9wKUSQWjTe+YTIh+TVjMPC3azDzNEmSrdEDVQUaZVBXWlKZhXskS +ZKsIBOb1BWVSVVhTmoZ5JUuQrSIQmNcZlElVYU1pGuaVLEG2ikBgHgAAAAAA +AAAAAAAAAAAAwFqQJRUIZKoC5lUB89bAmyVFTpQDNF5VAfOqoDYfh3xJsLKk +YSq6wmKgjOSouF6wIFQ3XiOqPQ7z6nA1LzYHrLjoraN5sbCzpCEqumJjoC7J +UXG9YJ8Q1HUDFaUt1+4KzKvC3bzgHLDiorcm5rkLpI2V+ZMnrazgv/N6pXhD +VHTFxkDdkqMJhPSC25c4Xrx04cr1RevynnhkfvFJxuMR1HUDF6WN034R81ve +ppmX3jUWnANWXfROIHbmA8BfIG07W75lS3kt/xt3HlnSEBVdwTFQl+RoAiFJ +0/YJe/3u257qmJ/YmW1j0h/a5XrEBHXdwEVp07RfejDzW96mmZfeNRYsRHXR +O4HQmQ+CqAJpPKcrVVVVHlnSUBVdsRlWt+RonD9pyo6NtpwoHNxn+EsV7Ufa +cnLDqCELDvl/X1OHxqt22jmwo2tslnmCrrFQIeqL3nGhMx8e9wJpc82HRY+O +HjF+2Yr1Tne01m93Fs6d9sCMrHm5S18pP8t1MoIrup5ITo56/MLYtjPbs9Ov +++G4RQVLs3M2HmL8GnNrGq9ea9EQxa6x11q0aNDy9lrFxKK3VNgF0trS8f2H +ri4pOJT6fGo4nJeZNrX4S19zLLSi672a9OSo9y8Prz/wwoi0q3v0HJn73ldu +Hw9Z03j1XouECHaNvdciRX3L23sVI4veEvEokJ7fPTMtY2HJmk9S3866UD7n +hqv63DVhcjtTZuQdviD7UP0jLznKGxttOrHhwbFrDtfVlObd1+uajAV7HS1Z +03iVvRZfXTeKXWPZa5nYNSZbRepC/swHxrNAWn8gZ9CgOVteLj2d+rXX2h2j +e/V7bI+Gt4BOCJKj7J8L2v2lD16V+EJaPFZbOv3GAbPLnXxZ03ilX8uBSHaN +6ddyRZuuMdkqlAvJwbtA2lS5PCNt2uaCTbvLth3o/hl749G8W3pm5FdoHGkg +SI6y7wVNx/KHDJyVfF3aVLli6DDntJ81jVf6tdhEp2tMv5YLGnWNyVahXEgC +XAXShiPPjbh5wsMTs4r216W++xWr27du+qjh42Y+vXDxkvytVQq/IOsISXLU +4/OC2PmDhXMmzXp2TWHBi/NzXj143mFKrGm80q/lRVS6xvRrOaNT15hsFcqF +QBBMSY5a03ilXyskMK8Ky6LDBpmPIqYkR61pvNKvFRKYV4Vl0WGDzEcTU5Kj +1jRe6dcKCcyrwrLosEHmAQAAAAAAAAAAAAAAAAAAKECZVBUwrxXYDtnAsOag +CasKmNcKNL5lQzrw2CbfoAmrCpjXiqCNb5pzJ2iIS8fFMEOgT1jbhL3ohKDG +6wqasKnAvFaEa3yLOnfXqjJVQ7zzUVtCPEyAS42LQD+PH2dvk7l7wQ1fE5ag +xssCTdiUB4H54HjOPHnjW8i5M6rKZA3xeKzpVFlh9s9/en9Zbdc/r698Jz93 +Uf6rv91+8BzrFXWwSw1LINfjd+C1TYbthT84m7AENV4WaMKmAPOB4Zh58sa3 +iHNnVZXJGuKxxtMnT+3K7t979I7L7gUt1W9nj7rzmfdPe7+gDnipYQjke/wE +nttk1l74Ak3YVGRHkAmasNE1z0H4mZfQ+JZ97nQN8QTtl9SBfS67FzRWrMrs +O3ztp+G6tUzDLIHceG+TdnvB7q3zgyasmgjyd8hqwkbWvCfeM6+i8S0Gd7eC +G+JedLsXnC2ben2PvlMWPTvvoXvTB93z1NZq1k8HsieEZtqp9oL7UsMETViF +EeTkgchqwkbXvAd8M0/e+BYBy63QhjgHXe8F7a+D0669dXXHTwWt1cVjel8/ +/vffuMy87AmhmXbCvRBxL0ATVl0E+eJxaNGEtc28gA6ykY1vgn3kD+92uxcc +nD/gB5lbazr+Wex0yR09b8ze53wtlH0W1kSW/V1q2KAJqy6CnECbJqxl5llw +zryZjW+tertd7wVt1W9m9k5fffHTgtod9/a5afER5/fCZZ+FZZHluKj3iC6B +JqxwvDZIoyasZeY5Ycy8oY1vfdzGE/eCJZd/XtBaXTy237DkR8dNx1YNGbwg +5VtAF5F9FpZFluPE9wI0Yf3D3CCdmrDWmeeEMfNGNr51cttcs/fdZSOv/d6A +uZs/PnYhqbD16w+enzoxa+natXlPzn/N7X9RI/ssLIssdyD2XsAETVhVwDzg +xA63ss/CssgyNWjCqgLmASd2uJV9FpZFlulBE1YVMA84scOt7LOwLLIMAAAA +AAAAAAAAAAAAAACgKSiQqgLmlQDtqoB5zUGBVBUwrwRoVwXM6w0KpKpwMS/O +ScBEr18MM4+BVwXM6wwKpKpwNS+uDhww0etyvKaZl53cdQUD7wjMy6ThePHS +hSvXF63Le+KR+cUn/f9qFRRIQ8CXmXbBq64rpA4cJtHb7XD1MM8/8LKTuyww +8A7AvExav3z97tue6jiS2JltY9If2uX7VyihQBoYzsy0Gx7mhdSBwyR6u6KH +eR8DLzu5ywID7wTMy6TlROHgPsNfSvz63ZaTG0YNWXDI//tSKJAGQ3JmWoiT +UIlebgjbrxj477Bt4GE+HG1ntmenX/fDcYsKlmbnbDzE+D3bKJAKRXZm2gd2 +mff4/b0YeAx8xMz7oP7ACyPSru7Rc2Tue1+5fSCCAqlYpGemubHOvPfvcsfA +J8DAR8M8P00nNjw4ds3huprSvPt6XZOxYK9juQ8FUk6EJncpjtlC8+z2KwZe +KBh4Vavwh6c5qT+Qkz54VeKrTfFYben0GwfMLnd6bqBAKhKdMtP2mWf/XICB +VwAGXml4mpOmY/lDBs5K3qabKlcMHeZcWkSBVBLKM9P2mWffCzDwasHA60vs +/MHCOZNmPbumsODF+TmvHjzvcNwokEpDcWbaRvMenxdg4JWCgTcZFEhVAfNK +gHZVwLzWoECqCphXArSrAuY1BwVSVcC8EqBdFTAPAAAAAAAAAAAAAAAAAABg +CYiQqgLmtQLbIRsY1hzeCCn6oaKBea3AdsgGvWO9cYmQdsDqh/LD6JlGOkIK +81oRdDuYuV7BBtxUC9xNiSjtHWMvPGBGSD2DuQ6P5xIJdemZWh4hZSHavBsw +z0W47XDL9QYz4F+1uEb2pQNvCbFXskvTgdLq5u4FF7J7x9790G4P5x4JZfVM +DY2QSu0d+zTPIIrmGyvzJ09aWcH/ki/sdrhJDmAgmOoEQhrZsaZTZYXZP//p +/WW1Xf+8vvKd/NxF+a/+dvvBc6wXurJL04HT6ubtBT/ye8ee/dBuB8SIhDJ6 +pmZGSOXmX32aZxFF821ny7dsKa/ltxZ2O1wkBzAQTHUCIY3sWOPpk6d2Zffv +PXrHZfeCluq3s0fd+cz7p71f58ouTQdOq5u3Fz6Qnn/17ofyw+iZahchZVd3 +O5Ccf4V5V8Kbj+d0paqqKvR2uEkWGsBlqY7z76an5PZL6sA+l90LGitWZfYd +vvbTcF1H5b1jHfdCGJLzr777oepSp6TVXfn5V5h3w9t8c82HRY+OHjF+2Yr1 +Ti8yW7/dWTh32gMzsublLn2l/CzXc1VkSNcT+ao9JXe7F5wtm3p9j75TFj07 +76F70wfd89TWatZPB3b0jr3W0rF6LDH/6rMfqjJ1SlvdlZ5/hXkX+MzXlo7v +P3R1ScGh1L9vOJyXmTa1+Etf1wtxIV3vpShU+7wXtL8CTrv21tUdPxW0VheP +6X39+N9/4/Ky047esfda+lWP9ci/0qyiTXVXo/wrzSqmmT+/e2ZaxsKSNZ+k +vlt7oXzODVf1uWvC5HamzMg77Ph8UYhU1bxR6ZR7wcH5A36QubWm45/FTpfc +0fPG7H3OV0ELRpFmLVt7xzSr6FLd1Sn/SrOKYebbnxWDBs3Z8nLp6dQvu9Tu +GN2r32N7dLsFdEKj2ufPBW3Vb2b2Tl998dOC2h339rlp8RHnt9ttGkWzqsea +5F9pVtGnutuJ8vwrzSpmmW+qXJ6RNm1zwabdZdsOdP++T+PRvFt6ZuRX6Jon +oVHNcS9YcvnnBa3VxWP7DUt+dNx0bNWQwQtSvgV0EZtG0bDqsQ75V5pVtKru +XkJx/pVmFdPMNxx5bsTNEx6emFW0vy71vepY3b5100cNHzfz6YWLl+RvrSL7 +/jcPVKrZkptr9r67bOS13xswd/PHxy4kFbZ+/cHzUydmLV27Nu/J+a8ddflO +m02jaGH12I5IqIkRUpgHvjBdtU2jaPpeOGBHJNTECCnMA1+YrtqmUTR9Lxyx +IxJqYoQU5oEvTFdt0yiavhcAAAAAAAAAAAAAAAAAAAChQIRUFTCvBGhXBcxr +DiKkqiA1nwT+MfDqgHm9QYRUFa6BXbFOArd6/WGMeQy8KmBeZxAhVYW7ecGZ +4KCtXuejNse87OquKxh4R2BeJrJ7x4iQspDWOxacCQ7a6nU4aNXm+QdednWX +BQbeAZiXifzeMSKk7sjrHQvOBAdt9aai2ryPgZdd3WWBgXcC5mUivXeMCKkr +UnvHQp0Eb/X6gcQ8Br47VAVk6YFvmA+J5N6xDyIWIZXdO/YNjX/l5jHwigrI +Gg18xMz7QGLvmJuoRUil9459QuNfB/NxDLyKArI+Ax818/zo0TuOWIQ0cr1j +glV4868YeAUFZI0GPmLmfaBJ7zhaEdLo9Y4pV2GDgVdQQNZp4KNl3g+a9I4j +GyGNSO+YchU2GHhJq5gS+I6seW906B1HOEIaid4x5SqeYOBVFJA7UTzwETYv +AkRIVWFH75hyFSFg4FUB81qDCKkq7OgdU64iBAy8KmBecxAhVYUdvWPKVYSA +gVcFzAMAAAAAAAAAAAAAAAAAAFgCIqSqgHmtwHYIBDJNhDdCin6oaGBeK7Ad +AkHa2EBcq7txr34oL8yeaYQjpDCvFUG3gyFZ4Lm76RW+j2JQmjaOrvYwMCOk +nqlch8dzyYO69UztjpCyEG3eDZjnItx2uEgWd+6uekXXsX0iOyodqKJuv/ZU +ZPeOPVO53R/OPQ/q1jM1OEIqM//q1zwDi8zH6itey7rrRz3//JobMn+58Wj3 +QNtly1XmT560soL/RVrY7WDlekWcO0Ov4Dq2TlHpwBX1BKZpD4X83rFnKrfb +ATHyoC49U3MjpHLzrz7Ns7DHfP2hVY+v/firpuZvdq8d2+v76akv3y/RdrZ8 +y5byWn5rYbeDkesVcu7uegXXsXWKSgeuqCcwTHtIpOdfvVO5/Lj1THWMkHIg +Of8aVfPM/Gtz9fZtVRefjRf2/KpfnzFlwT5FyelKVVVV6O1g5HpFTB1Lr+99 +ZDd2rYhKxzXULhfJ+Vff/VDVbV9reseRNc/9K3zrdj1y0+3/9LmDoeaaD4se +HT1i/LIV651eebZ+u7Nw7rQHZmTNy136SvlZriuF+JCuI1SD7SE5alFpDa4n +YpCYf/XZD1Xf9rWmdxxd85z3gti3O+bcPbfM5WvrtaXj+w9dXVJwKHVnGg7n +ZaZNLf7S10VEdEjXeRG6wfaWHJ2otA7XEyHokX+1ZhX0jlWt4i//2lb7UV52 +0RG3d83O756ZlrGwZM0nqe8VXyifc8NVfe6aMLmdKTPyDjs+X5RAsIm8kvW4 +qlgw1Ul4W97h0CT/at8qLHTKv9q3ivdL1lh9xW+WFe11/wZK+7Ni0KA5W14u +PZ36nfLaHaN79Xtsjz63gE4oB5stWZOrik1TTYAm+Vf7VuFEef7VvlW87gVN +X7ydv35n8vtBbbUHSt491X3imyqXZ6RN21ywaXfZtgPdv13SeDTvlp4Z+RXq +P+rrDuVgsyVrclWxaaop0CH/at8q3KB3LBzmZaq15nezf/xnV15xkSt73Opw +mWo48tyImyc8PDGraH9d6hvYsbp966aPGj5u5tMLFy/J31ol++NgTmgH2+OG +q8NVxa6p1gOberhmRUhtcmKWeeMwTq8daWPjtIfCph6uWRFSm5yYZd44jNNr +R9rYOO0hsamHa1aE1CYnZpk3DuP02pE2Nk47AAAAAAAAAAAAAAAAAAAAHYiT +qgLmVQHzqoB5nUGcVBUwrwqYVwXMawzipKpwMS/OScBQr1+sMY+Zlw7Mawvi +pKpwNS/OScBQr080Ni87yOsKZt4RmJeKzPAu4qROcId3mQ/i0dgV0ggOE+rl +RkEWlm/mZQd5WWDmnR4E5mUiN7yLOKkD/OFdFh7mhTgJE+rlhzwLyznzsoO8 +LDDzTsC8RCSHd6MaJyUJ77LNi3ASKtTLDXUWFjN/CdtmHuaDIzu86wO74qQC +wrudwLxQMPOY+aiad0d6eJcb6+KkQsK7Hf8C5oWCmcfMR9W8OxqFdy2MkwoI +71Ics4XmDYlNW2geM0+7ij/zDHQK79oXJxUQ3u0A5kWCmcfMR9M8N8rDu/bF +ScOHd5PAvCQw88LBzNOvkoTuXoA4qX/Ch3cpjtlG85xg5oWDmade5RIC7wVM +ECdVBcyrAuZVAfP6gjipKmBeFTCvCpjXGcRJVQHzqoB5VcA8AAAAAAAAAAAA +AAAAAACADaBAqgqY1wpsh0Ag00R4C6SIh4oG5rUC2yEQdI0NxKVA2gErHsoP +I2Ya6QIpzGtF0O1gtnoFG3BTLXA3xaC0axxd7WFgFkg9g7kOj+dSPXaJmdpe +IGUg2rwbMM9FuO1wa/UKNuCqWtxu+kR2UTpQRd1+7c7I7B17x0O7PZx79ZgV +MzWsQErSO/ZpnkEUzTdW5k+etLKC/3Vg2O1wkyzWAEN1AiGN7PZzOV68dOHK +9UXr8p54ZH7xScbjyS5KB66om6g9NHJ7x57x0K6wqseMmKlhBVKS9qtP8yyi +aL7tbPmWLeW1/NbCboeLZMEG3FUnELKb7dfW1+++7amOy13szLYx6Q/tcj1o +2UXpwBV1A7WHRnL71Tseyg8jZqpdgZQJSfsV5h0QZT6e05WqqqrQ2+EmWagB +luq4mN1MvKlSOLjP8Jcq2g+25eSGUUMWHPL/LrvyrrGO2oV0jd2Q3X71HQ9V +1zklru5eQlb7Fea9cDffXPNh0aOjR4xftmK90yvP1m93Fs6d9sCMrHm5S18p +P8t13RRZ0fVEueq2M9uz06/74bhFBUuzczYeYvz2fju6xl5ridIu8XdTS2+/ ++oyHquyc0lZ3O49IVvsV5r2OiGm+tnR8/6GrSwoOpT4nGg7nZaZNLf7S10VE +XEXXeyk9VNcfeGFE2tU9eo7Mfe8rt49E7egae68lTLu0e4FG7VeaVbSp7nYe +kPr2K80qppk/v3tmWsbCkjWfpL6Fe6F8zg1X9blrwuR2pszIO3xB7GmERqpq +XslNJzY8OHbN4bqa0rz7el2TsWCvoyULpo5mLWFdYzd0ar/SrKJLdTeJHu1X +mlUMM19/IGfQoDlbXi49nfpV79odo3v1e2yPbreATnRQ3e4vffCqxPcn47Ha +0uk3Dphd7uTLpqmjWYugX6a8/Uqzik7VXV3arzSrmGW+qXJ5Rtq0zQWbdpdt +O9D9+z6NR/Nu6ZmRX6Frm0QH1U3H8ocMnJW8njRVrhg6zDlnadPU0ayl/l5g +RyFUo+quNu1XmlVMM99w5LkRN094eGJW0f661DewY3X71k0fNXzczKcXLl6S +v7VK/ZfCL0MT1bHzBwvnTJr17JrCghfn57x68LzDxdGmqaNai6pr7IYdhVAT +C6QwD3xhkGqbps4g7aGwoxBqYoEU5oEvDFJt09QZpD0kdhRCTSyQwjzwhUGq +bZo6g7QDAAAAAAAAAAAAAAAAAAAQgTKpKmBeFTCvCpjXGZRJVUFqPgn8d4CZ +VwXMawzKpKpwDeyKdRK41esPC8xj5qUD89qCMqkq3M0LdhK01esPLc3LrvG6 +gpl3BOalIrN3jDKpE9J7x4IzwUFbvb4gbcLyzbzsGi8LzLzTg8C8TOT2jlEm +dUB671iwk6CtXn8QNmE5Z152jZcFZt4JmJeI5N4xyqQOEPSOhToJ3ur1A10T +FjPfFYoIMknjG+ZDILt37IOIlkll9Y59Q+NfA/OYedW9aQ1mPqLm3ZHeO+Ym +qmVSab1jn9D418E8Zl51b1r9zEfVvDsa9Y4jWiaNTO+YYBU+85h5dRHki4ei +fuYjap6BTr3jKJZJo9Q7plyFZR4zr7Y3rcfMR9E8N8p7x9Erk0ard0y5Cue7 +c5h5cnSZ+eiZ94Hi3nHkyqQR6x1TriLqXoCZF4w2Mx858wJBmVQVdvSOKVcR +BWZeFTCvLyiTqsKO3jHlKqLAzKsC5nUGZVJV2NE7plxFFJh5VcA8AAAAAAAA +AAAAAAAAAACADaBAqgqY1wpsh1jg0zh4C6SIh4oG5rUC2yEW6pw39iUsrtXd +uFc8lBdmzDTCBVKY14qg2+HZ6nUz4wePzdJRMsunECdxkpa3geaDwSyQeqZy +HR7PpXrsFjO1vEDKQLR5N2Cei3DbwWr1uprxgddmGRaVFuIkgfyWt87muyOz +d+yZyu3+cO7VY7eYqYEFUor2q1/zDKJovrEyf/KklRX8P+OE3Q5Gq9fDDB9c +m2VOVFqIkwTyW94KzAdEbu/YM5XbFVb12CVmamCBlKT96tM8iyiabztbvmVL +eS2/tbDbwWj1ss3wwbVZBkWlRThJIL/lTW8+IJLbr96pXH7cYqY6FkhV945h +3hFR5uM5Xamqqgq9He6tXg8znPBsljlRaTFOaFreIs3LQ3b71Xc8VHXb15re +Mcx74W6+uebDokdHjxi/bMV6p1eDrd/uLJw77YEZWfNyl75Sfpbr2RumouvP +DMk+Ko9Ki3JC0/I2AOntV5/xUPVtX2t6xzDvdSxM87Wl4/sPXV1ScCj1OdFw +OC8zbWrxl74uH2Equn7M0Oyj+qi0KCc0LW/90aj9as0q6B2rWkWo+fO7Z6Zl +LCxZ80nq+7cXyufccFWfuyZMbmfKjLzDF8SdQnhk76NxUWmaJQhWEZY2dkSn +9qt9q6B3rGoVAebrD+QMGjRny8ulp1O/5127Y3Svfo/t0eoW0AlZXdeUqDTN +EmSrEKC8/WrfKugdq1olvPmmyuUZadM2F2zaXbbtQPfvlTQezbulZ0Z+hZZV +ErK6rilRaZolyFYhQHH71b5V0DtWtYoI8w1Hnhtx84SHJ2YV7a9LfdM3Vrdv +3fRRw8fNfHrh4iX5W6sUfyP8MgjrumZEpWmWIFtFPTb1cM0qkNrkxCzzJmKc +YYIDxmyLxKYerlkFUpucmGXeRIwzTHDAmG2x2NTDNatAapMTs8ybiHGGCQ4Y +sw0AAAAAAAAAAAAAAAAAAKAGZElVAfOqgHlVwLzOIEuqClLz0H4ZMK8KRKU1 +BllSVbiYFyQkzhNNRor38j+GeekobnwniKh5T5AllU+AIGx4IQk8o8m2p3id +gXlVqG58J7DQPEV1F1lSFjKDsOGFJPDSblqKl2LmYd4JSxrfcfPMc0BS3UWW +1B25QdjQQhJ4ajcsxUsy8zDvgCWN7wSGmeeApLqLLKkrkoOwAoRwaDcsxUsy +81E1z8Saxrdx5v0iq7qLLKkbsoOwPgih3cQU7yVkzbwP7DLPjdmNb5PNeyOt +uossqQvSg7DchNJuYIq383BkzTw31pnnxPDGt8HmvdGjuhulLKlGQVga7QQL +GVeattA8T4pXA/Nkq5BtsRi0qe5GKEuqUxCWTIgWKd4kesy8fea90cM82Soa +mfdGo+puNLOkyoOwZEK0SfHqMvP2mfdCF/Nkq2hj3hOdqrtRzZIqDsKSCdEl +xavNzNtonok25slW0cW8QJAlVYXsAyYTAvPEj0+/kCisuRQYZ94bZElVIfuA +yYTAPPHj0y8kCmsuBcaZ5wFZUlXIPmAyITBP/Pj0C4nCmkuBceYBAABYz/8H +fC/KXg== "], {{0, 458}, {516, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -2212,7 +2212,7 @@ fzGuxsg= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[6]=", - CellID->1606718833] + CellID->253055425] }, Open ]], Cell[TextData[{ @@ -2637,7 +2637,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"0.211407`", ",", "Null"}], "}"}], TraditionalForm]], "Output", - ImageSize->{105, 14}, + ImageSize->{105, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[2]="] @@ -2667,7 +2667,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"2.041849`", ",", "Null"}], "}"}], TraditionalForm]], "Output", - ImageSize->{98, 14}, + ImageSize->{98, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[3]="] @@ -2710,8 +2710,8 @@ Cell[TextData[{ Cell[BoxData[ SuperscriptBox["\[Gamma]", "5"]], "InlineFormula"], " ", - " do not contribute to your final result, use the new NDR-Discard scheme to put \ -them to zero" + " do not contribute to your final result, use the new NDR-Discard scheme to \ +put them to zero" }], "ExampleText", CellID->2003592022], @@ -2738,76 +2738,76 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQ1sVeUZgMtmls0tUTRGEkOiZgPZphhdlI6/AhUGQeVHIxC2STNkBVY2 -igozswgMxs/GEqnbinUFyoQxCD/yM0BNkCEDNn+KCBboACnFVigt9Pbn3nt2 -z60GWu4533fueb/3+76375No+Mt5733Oe05O25s8d+VMG/XMVzIyMvK/nvjf -qAnPD5g+fcKs0TcnfvNkXn7upLyJPxuaN2PipInTe+V8NfGHjyX+y0j8e/fX -DsMwDMOEp/HMhpKVq4tmP/PCu7Vx3S+mQ8HmdcHmGaaVS4dmLdp7MYYzLMZX -21VQzbfC/pPImmddDHGidWVrcvtnPbuzJtrmj6t3zxnb/747b+p8d4/vPzR2 -8/mo1wFEtJwuGZ3zTq3jXH4vr99P9l1q+7fxyP/++drqLdtKZjxwyy13duve -/d7s+cciaYxp/mzPoqG9C45EnIbDz/cbsaOm/aUbqytbu/zvO3eWFkyYt/+S -ARe2h3lAJ0n8/IOcZULmHdG6yoLiRLAncJcwQ5RIefG0Fzacrq94pc/Di8qb -rv5FLFJV3RhvKCt4asXpllAj4jXbRw97vTLqNB6b1yt7XVWbh6547Tv5I5cd -b3Ivu+JBw7dfd5kEonbP+MHLTkaqtuTMOVDX7kixC29OeXTZicSkxqPzssbt -qwszCABP88BOfP2DnWUa5l181zUQqp2I9gTuEmaMI95QvipvYLfbvtX5rj5T -VnzSkNY9Il69dWS/BZ80Ok7dvnFZvz3W2O7vG48uGVN0sjncK718aPLgBYlD -R8+uyuqVHHYNF94c1fvFI+4jS1P577N/+m64e0Pk4/nDX9x/cGXJh+2vNyd2 -fsOwvouTV/uV96dn/7qsId0hys3DOvH37wJxlmmYdxHqkka1E6k9AbmEGdNo -OPKHaYX7zzc1f36o8LEuN/W8/jlGhuaKl/tkrTobda58OGfEvI/aL2HLqVeH -jNt1IdzjZ+IxKvORbTXxphN/GfDdH/+7rs3zVKxq3cDMhe5rbzz+p7Gz/1sf -apQT+eilAeN/s/p4iqupbt9T38ksTbxV5/IHc8cXHk9HVxLl5oGd+Pp3ATnL -JMy7CHXJo9iJ1J6AnFzGNJqr3t597oulufL+1LvveHRvWt+nbKpY/vSY+WvW -Fy/bfDJy3ZK0nPnroG5Dt1aH+QFltPL1Aff0Hzj+ly8tXvr4g48v2VTR5rGt -pfIfuSNnlryxufS1XZ+GeNZqpe7glJ+Xnk71sBP5uODeOx4eXrBi88bVJW9X -+T4PRc9vmfSLAx5P3QjmQZ0I/DswZxnIvC8oOy/WJY9qJzJ7AnJyGZOpPzih -R+afT/ktUdOZrUsXLy8tnNTtxq/dPnjq3JUVaf8wMeDx4zU7nhhUWAH49Wda -76XlVFHfXkskH7Oin658ZPhbF8X/0ADzoimQ/tWbl0aV+cC6EJzgrBBjJ/GL -eyYPyt/r8yHmeN2BZx/qX5S4WBqPzu5x+w/XnoN9GPA7vns9ZT6X/nd8g8zy -IfE1f+b9zx2WfBmS93/95sVT4PyjmJd9LarMB9SF4ARnhRhLiV3ct+BXxUf9 -vkaNVb/xo649k08b9Qdzvtf3VeDPAqg+Ptqslsp1OUP6u2Te0/nWnr2Tvxw2 -9V+pbzMGmCcz5ar5a2DzCCOCmWeMIt5Q/reFxR9c9+GCtrScLv5BlwcTixOr -3pH7xIL36oFPrerj488SP/+bYZ7eFDEdzLwp2hnjaDqzeWnRgdrkl4Ox2sMb -t1em/n5irP7wmlmTZ7y8dtPGt05cgd8f1cfHnyW6/5tint4UER3OvBnaGdOI -Vm/L7f6NThlf0OnG+xan/nFSrGbH0z263vrNGzoluOHmB/LDfpwQ+fg6Zvne -/40xT2+KgI5n3gjtjL00n9v+u7nrT7V+NizecuHgH2ful/hcizHH1zUrPDiv -ltIUKMg4sUs7YxzRqvVDvp298bPWTwzE6st3b9p1NvRn7PGOr2tWeHBeLaUp -UJBxYpd2xkDil8sWj+jRpev9g8dMmrmwaMN/Pof98IDq4+uaFR6cV0tpChRk -nNilnWEYhmEYhmEYhmEYhmEYhmEYhrEGLqXqgs3rgs3rgs2bBteBdYFdB2b5 -X8JdZl3wzhuG5jqwS/hSqm+MFTa2C4dfoxaqqKs3DWydebwucytKN9/EOrDu -ncfJkZtoPiW668DJUTD1WK8YK3BsFwr/Ri1UUVdrGtg684hd5iRqN9+8OrD+ -ncfJkSOYJ1IHduDqsV4xVuDYLop5sKKu1jSwdeaRu8yqN98Fpg5MZ+fRcuRq -u8xE6sAuUPVYjxgrcGwXxzyUE61pYOvMY3eZFW++C0wdmM7O4+XIlXaZydSB -AeuxXjFW2AAxinkoJ5rTwNaZx+0yK998R/786i5io+08Vo4cxrwMBjRqQ9Rp -bS6lqjIP5UR7GlgZBuy8aIpdm6+9iG3izotmgSBtPjX6G7Wh6rQWl1KVmYdy -oj0NrAr9Oy+eYtnm6y5im7fz4lkwhLr/G1BKRasDm1VKNcA8zgiEKTaaR5ui -dJCNRWwaOfJg5lNiRikVLWBqUCnVDPM4I9CmSGGMebQpOIMsKmITy5Gn+/xv -SikVLWBqTCnVFPM4I9CmSGCQebQpOIMsKmITy5Gndf83ppSKFjA1pZRqjHmc -EWhTxJhkHm0K1iBritjkcuQhf/7rC5k6sHWlVDL1WDavcQrmoPCQ2Xn8WUog -Uwe2rpRKph7L5jVOwRwUHjI7jz9LEWTqwNaVUsnUY9m8ximYg8JDZufxZzEM +1:eJztnQ1sVeUZgMtmls0tUTSLJIZEzQZ2m2I0Uzp+Wn6EQVD50QiEbdIMuwKD +jaKiZhaBwaBsLJHup1gtUCaMQfiRnwFqgqwyyuZPAcECHSCl2Aqlhd7+3HvP +7r3VQMs95/vOPe/3ft/39n0SDX85773Pec/JaXuT587smWOf/kpaWlre12P/ +Gzv5uUGzZk1+ftzNsd88MSMvN2fGlJ+PmDF7Ss6UWX2zvxr7w0dj/6XF/n38 +1w7DMAzDBKf5zMaSVWuK5j794nv1Ud0vpkvB5nXB5hmmnUsHn1+y72IEZ1iE +r7aroJpvh/0nkDXPuhjihBsq1uZmZj2zqy7c4Y9r98ybkHnvHTd1vyv9Bw9O +2HI+7HYAEW2nS8Zlv1vvOJffnzHwp2WXOv5tNPS/f762Zuv2ktn333LLHb16 +975n6MJjoRTGtH62d8mIfvlHQk7ToecGjt5Z1/nSjTRUrFvx9127SvMnL9h/ +yYAL28U8oJMEXv5BzjIh845oXWVBcSLYE7hLmCFKqLJ45osbTzdW/an/Q0sq +W67+RSRUU9scbarIf3Ll6bZAI6J1O8aNfKM67DQfW9B36PqaDg9d0fp388Ys +P94Sv+yKh4zacd1l4ov6vZOGLT8ZqtmaPe9AQ6cjRS68Ne2R5Sdik5qPLsia +WNYQZBAAruaBnXj6BzvLNMzH8VxXX6h2ItoTuEuYMY5oU+XqGYN7fftb3e/s +P23lJ00p3SOitdvGDFz0SbPjNJRNzPrtseZOf998dOn4opOtwV7p5YNThy2K +HTp8dnVW38Swa7jw1th+Lx2JP7K0VP5+6M/eC3ZvCH28cNRL+8tXlXzU+Xpz +Iuc3jhxQkLjar3wwa+gLFU2pDlFuHtaJt/84EGeZhvk4Ql3SqHYitScglzBj +Gk1H/jCzcP/5ltbPDxY+2uOmPtc/x8jQWvVK/6zVZ8POlY/mjV5wuPMStp16 +dfjE3ReCPX7GHqMyHt5eF2058ddB3/vJvxs6PE9FatYPzlgcf+3Nx/88Ye5/ +GwONckKHXx406Tdrjie5mhrKnvxuRmnsrTqXP5w/qfB4KroSKDcP7MTTfxyQ +s0zCfByhLnkUO5HaE5CTy5hGa807e859sTRXPph+1+2P7Evp+5QtVSueGr9w +7Ybi5VtOhq5bkrYzrw/pNWJbbZAfUIar3xh0d+bgSb96uWDZYw88tnRzVYfH +trbqf+SOmVPy5pbS13Z/GuBZq52G8mm/KD2d7GEn9HH+Pbc/NCp/5ZZNa0re +qfF8Hgqf35rzywMuT90I5kGdCPw7MGcZyLwnKDsv1iWPaicyewJychmTaSyf +nJ7xl1NeS9RyZtuyghWlhTm9bvzabcOmz19VlfIPE30eP1q38/EhhVWAX3+m +9F7aThUN6LtU8jEr/Omqh0e9fVH8Dw0wL5oC6V+9eWlUmfetC8EJzgoxdhK9 +uHfqkLx9Hh9ijjYceObBzKLYxdJ8dG76bT9adw72YcDr+PHrKePZ1L/j62eW +B7Gv+TPue/aQ5MuQvP/rNy+eAucfxbzsa1Fl3qcuBCc4K8RYSqS+bNGvi496 +fY0aqX3zxz37JJ42Gsuzvz/gVeDPAqg+Ptqstur12cMz42Tc3f3WPv0Svxw5 +/V/JbzMGmCcz5ar5a2DzCCP8mWeMItpU+bfFxR9e9+GCjrSdKf5hjwdiixOp +3Zn7+KL3G4FPrerj488SP/+bYZ7eFDFdzLwp2hnjaDmzZVnRgfrEl4OR+kOb +dlQn/35ipPHw2hemzn5l3eZNb5+4Ar8/qo+PP0t0/zfFPL0pIrqceTO0M6YR +rt2e2/sb3dK+oNuN9xYk/3FSpG7nU+k9b/3mDd1i3HDz/XlBP06IfHwdszzv +/8aYpzdFQNczb4R2xl5az+343fwNp9o/GxZtu1D+xzn7JT7XYszxdc0KDs6r +pTQFCjJO7NLOGEe4ZsPw7wzd9Fn7JwYijZV7Nu8+G/gz9njH1zUrODivltIU +KMg4sUs7YyDRyxUFo9N79Lxv2PicOYuLNv7nc9gPD6g+vq5ZwcF5tZSmQEHG +iV3aGYZhGIZhGIZhGIZhGIZhGIZhGGvgUqou2Lwu2Lwu2LxpcB1YF9h1YJb/ +Jdxl1gXvvGForgPHCV5K9YyxwsZ24fBq1EIVdfWmga0zj9dlbkfp5ptYB9a9 +8zg5chPNJ0V3HTgxCqYe6xZjBY7tQuHdqIUq6mpNA1tnHrHLnEDt5ptXB9a/ +8zg5cgTzROrADlw91i3GChzbRTEPVtTVmga2zjxyl1n15seBqQPT2Xm0HLna +LjOROnAcqHqsS4wVOLaLYx7KidY0sHXmsbvMijc/DkwdmM7O4+XIlXaZydSB +AeuxbjFW2AAxinkoJ5rTwNaZx+0yK998R/786i5io+08Vo4cxrwMBjRqA9Rp +bS6lqjIP5UR7GlgZBuy8aIpdm6+9iG3izotmgSBtPjn6G7WB6rQWl1KVmYdy +oj0NrAr9Oy+eYtnm6y5im7fz4lkwBLr/G1BKRasDm1VKNcA8zgiEKTaaR5ui +dJCNRWwaOXJ/5pNiRikVLWBqUCnVDPM4I9CmSGGMebQpOIMsKmITy5Gn+vxv +SikVLWBqTCnVFPM4I9CmSGCQebQpOIMsKmITy5GndP83ppSKFjA1pZRqjHmc +EWhTxJhkHm0K1iBritjkcuQBf/7rCZk6sHWlVDL1WDavcQrmoOCQ2Xn8WUog +Uwe2rpRKph7L5jVOwRwUHDI7jz9LEWTqwNaVUsnUY9m8ximYg4JDZufxZzEM wzAMwzAMwzAMwzAMwzAMwwDDRU5dsHldsHldsHnT4P6vLti8LmTNszRouLxs -GFr7v7712GB4x0Mtq9DCOVEe/22FjPkk4mivDDhxWELm8crLCPcc7v9eRVRB -9arHBsM7HmpdhdaBcoIS/yVmXhztlUZ5HJaQeeTysuJ7Dvd/r0FUQfVraErj -Ew+1rkLrADnBif8SMy+WJo3qOCwl88jlZdX3HBfu/yYRVlB9GpryeMdDravQ -uoA4wYn/EjMvlCaP6jgsIfPY5WXF9xwX7v8mESdofRqa0vjFQwMXP/W3UEGc -4MR/Qc37gmJeLE0egDisH6R2Hre8rPye4wCVtWUwoIWqO0EbLB4qQnsLNQC0 -zEujynxgafrOb8fdedEU0pvfHv0tVP0J2iDxUAl0t1ClIWde9hWpMh9Qms7z -21F3XjyF8ua3x4AiJ5nWqnUtVILmuf+LeHzHwp0nMyXYzqfEjCInsdaqY08L -lZ55MWaYx5nCO98RpqSLKUVOYq1Vx54WKj3zIkwxjzOFd94LSlPSwpgiJ7HW -ahI7WqgUzftijHmcKbzzXlCaohYa/V8bQ5xsXhc0zLD5jjBFLTT6vzaGONm8 -LmiYYfMdYYpqaPR/bQxxsnld0DDD5jvCFIZhGIZhGIZhGIZhGIZhGIZhGFVw -kVMXbF4XbF4XbN40uEKrC67Q6gK7Qstn8Ev4bmMYWiu04KFSm4qcWiu0bN7D -vE9UNxAICVrBGbTIPNbdxgXi/FpoPiWaK7TQ3U+dRc6AaK7QsnkP895R3WCo -T9CKzqBl5hHuNi4Q59cA80QqtLDdT5QiJ5EKLZtPaV7wRuRRn6CVOoP2mMdp -XoOcX0TzHhCp0AJ3PzGKnEQqtGw+tXn/NyKP+gSt1Bm0yDxO8xri/CKa94BM -hRa0+wlU5NTdQsWp0Jpo3hcU84I3Ig1GglbmDNqz8zjNa5jzC2k+NAYUOXFa -nKJZUEVO7S1U4yq0oinoLVRV5oO9Ed0JWkC073wAQmiHOr/moL/IidPiFM8C -K3LqbqEaVqEVT8FuoSozH+SN6E/QQqJ756UJpR3q/BqDAUVOnBYnwixuoeqa -YmP/l4B2x8KdR7vbYN7W0sSMIidmJRNnFrdQdU0RY4x5Ytpt2Xk0IaYsvCem -FDkxK5k4s7iFqmuKCIPME9Nuy86jCTFj4b0wpsiJWcnEmsUtVD1TBJhknpx2 -O3YeTYgRCx8eSpVSu4qclCqlbB5/BNoUQMjcbawznxpKlVK7ipyUKqVsHn8E -2hRAyNxtrDPvBaVKqV1FTkqVUjaPPwJtCiBk7jbWmWcYhmHI8H9G53kx - "], {{0, 78}, { - 512, 0}}, {0, 255}, +GFr7v571WH+4x0Mtq9DCOVEe/22HjPkE4mivDDhxWELm8crLCPcc7v9eRVRB +davH+sM9HmpdhdaBcoIS/yVmXhztlUZ5HJaQeeTysuJ7Dvd/r0FUQfVqaErj +EQ+1rkLrADnBif8SMy+WJo3qOCwl88jlZdX3nDjc/00grKB6NDTlcY+HWleh +jQPiBCf+S8y8UJo8quOwhMxjl5cV33PicP83gThB69HQlMYrHuq7+Km/hQri +BCf+C2reExTzYmnyAMRhvSC187jlZeX3HAeorC2DAS1U3Qlaf/FQEdpbqD6g +ZV4aVeZ9S9N3frvuzoumkN78zuhvoepP0PqJh0qgu4UqDTnzsq9IlXmf0nSe +36668+IplDe/MwYUOcm0Vq1roRI0z/1fxOM7Fu48mSn+dj4pZhQ5ibVWHXta +qPTMizHDPM4U3vmuMCVVTClyEmutOva0UOmZF2GKeZwpvPNuUJqSEsYUOYm1 +VhPY0UKlaN4TY8zjTOGdd4PSFLXQ6P/aGOJk87qgYYbNd4UpaqHR/7UxxMnm +dUHDDJvvClNUQ6P/a2OIk83rgoYZNt8VpjAMwzAMwzAMwzAMwzAMwzAMw6iC +i5y6YPO6YPO6YPOmwRVaXXCFVhfYFVo+g1/CdxvD0FqhBQ+V2lTk1FqhZfMu +5j2iur5ASNAKzqBF5rHuNnEgzq+F5pOiuUIL3f3UWeT0ieYKLZt3Me8e1fWH ++gSt6AxaZh7hbhMH4vwaYJ5IhRa2+4lS5CRSoWXzSc0L3og86hO0UmfQHvM4 +zWuQ84to3gUiFVrg7idGkZNIhZbNJzfv/UbkUZ+glTqDFpnHaV5DnF9E8y6Q +qdCCdj+Bipy6W6g4FVoTzXuCYl7wRqTBSNDKnEF7dh6neQ1zfiHNB8aAIidO +i1M0C6rIqb2FalyFVjQFvYWqyry/N6I7QQuI9p33QQDtUOfXHPQXOXFanOJZ +YEVO3S1Uwyq04inYLVRl5v28Ef0JWkh077w0gbRDnV9jMKDIidPiRJjFLVRd +U2zs/xLQ7li482h3G8zbWoqYUeTErGTizOIWqq4pYowxT0y7LTuPJsSUhXfF +lCInZiUTZxa3UHVNEWGQeWLabdl5NCFmLLwbxhQ5MSuZWLO4hapnigCTzJPT +bsfOowkxYuGDQ6lSaleRk1KllM3jj0CbAgiZu4115pNDqVJqV5GTUqWUzeOP +QJsCCJm7jXXm3aBUKbWryEmpUsrm8UegTQGEzN3GOvMMwzAMGf4PdgZ59A== + + "], {{0, 78}, {512, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], Selectable->False], @@ -2820,7 +2820,7 @@ O3YeTYgRCx8eSpVSu4qclCqlbB5/BNoUQMjcbawznxpKlVK7ipyUKqVsHn8E ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[2]=", - CellID->1753947186] + CellID->410432361] }, Open ]], Cell[BoxData[ @@ -2906,53 +2906,53 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQlMFFcAQLE1bWPTVGuMpoZErQeoeGCjoKIiiJXQKGAr6mp1A6KoaAAv -moo3tYvBVJQUwQJFLSoExRu0EStV0WKFCgqIoBwKKiwru+w13WV0qcvO/N25 -+H/8L9Gou5mZ//5nZwaHvIHSNX7L3rOzswv/yPCb39IN7mFhSzf59zT85ZvQ -8BXBoUGBs0IjgoKDwlyk7xv+8QvDr6pudnbGPxPwotN39RFgrABPk8Bg4QLw -DkvWPc9dLkmpVjxOXxt0oEJl9qqmOtlferWJIBSFoVMW5zfbtGn1s7yfZk2K -uqckWos3TJlzvtHcsk5elH7w2MWLaVFLd1xv/v+reuWjC4cOZ59NjnD+7LMB -Q4cNc/LcdV9pelnbkLtt/tRRAz7tNchx5Pj5p55qbTqwLoJSNVAUCPA0YdVv -AIzXOuiEM172IlPNeji8SOZoAQhJc/4i15V5+cn7cp5qOr2obzzn7320Vkuo -7u9w8Txer7N16015Eq+4h8r6bOm2m3Izi7oXl1Z+HVfRRhCq0h3TFuTLO3bb -dDXcN668zThLSR4+58z965T1DSp9a1HUvJTqzgcNLXSq6UQBAU4TVv0G0Hit -AySc0bIXmWrWw+FFMkcLwISm7kTAWMkNOeUbVOWx877dU8biFNBatG74507O -iy+/sHSoilshXtH3VYS25rdpLtEPzK+xwShLdvlsvl6Qmny30+eO7mmmt5us -zOCKeHUnzDOyqNX00otLfpM23zOOqq1sj+d3f1kUoCqNCUh4qLb5kCzT1app -RIEBTRNWbcKq8QIBCWe27I2ISHX79lkMhx/J3CyA12hqMwIn97EPoDGsay7M -zCxssvni1oS6Mm6KR/wR6fiFFxo7b8Vw+nKdcbZR31bxi/vwRTfktu9H+e9W -d8kPh8tbO78kz583xDWtxnD3o/hnu2S/8bz2Gl398emuu42CVeXx87f83WJp -y5qqxJkLciyuC9vpetU0ooAApwmrNm3amvECAQpntOyNiEh1+xGwGA4/krlZ -ACTqJye+33tG5jyYzjA9G6ipq6szvkPzJNVjoqxMUXNksffOa+Yzpa096u4w -dbpk7VZZ7Oxxs2NOVrZalm1540bkBSuXp1VbOosqS6Kc+k/wiUo5lXU4+Y/6 -t96iqT2xwndj8ulTaYdynlBcumse/+oxdNaZBuarywQEqmlEUeyiQzJwmrDq -DqwZr+Ud2SCc4bInrFetfZodvPomrcIuV23VcASXbMMCeH0gFKrV1emRCaXN -lQfGURlWN1xNWu7l5rs7JoHu0qvt8ZlY2cG0/cFDe3zQ12vV9tRKq29q9I3n -53rsrwTfpWhf3jwYLlkQGBoRuTOxsNmqr2RNVYKbS4zZNUSXAINqK6CUDJwm -rJoRzIXTwNVcaJ+kzvC5/JL6DYiohlry60O0qLrtUVpkUpmSUD+iNkwQTVd8 -B0/YmxV/j/IkqZffXDd+akKVmlCVbnHsOzG9zoYLIaMk1/VFwDtvZUn0ZIeF -GTU22VRX7nMds76YyW09t0ChGgy1ZOA0YdVMYCGcBs7mAvARjYhqyCWTWFKt -qkiJTHlovAanNay4tcxh7Oasn29TfqtH13D6K/vR7aeTlgLpCLdEPv6j+FVh -yMBP+k/3m2cgIDC65BX3u2CCpva4dOZUM7xXXWt6SxYqqiGVTCIu1SSQCu9Q -7erQq/foSWirhlQyCZ1q1QPZtNFOo9sZbt/jw55DRrmvuaMw30Rr8YYRI0Iy -4648o3zcUFOd9GW/cQavuobzK+ZGF7bw8fR3U55Xv0Gr70Cl11qQUY2yZBJk -VJPALpzuKhoZ1bBLJqG/YdFUJ44fYvkk2FYuG+sgORafduvP3GKKRy10LcW/ -bwqJ2Jd+MutyxSuefjpH9SDaqc/Y2DLbH8iDCrhVi0QyCdyqSWAXDvxeNAnc -qmGXTML4I1pZus1tpN8S/9CkohYKv43nlzja9/64ezcD3Xs6h7N6wIQafcvd -A9JpE2cvW795y/bY7DqunukUFshVi0MyCeSqSSAXzv4jGgbVkEsmsVK17ajr -zv24PaOKPEHpNS8K9m68zsNuMFi1gGDVgoFV84u2PmPmYM+sZ+TpUddSlnsy -pwbu+wlUwaoFA6sWDKyab/SKItkcx372Y7wCgjfuTsi8/RyhH/pHC6xaMLBq -wcCqMRgMBoPBYDAYDAaDwWAwGAwGg8FQ8A7nad4J8PwKDBYuAGKXzCa6BIRZ -K0qELScWoR8gbNpnIlRNwmc4iblwmmUgPtXsRsSLZASzWayiS1bApBUl0pYT -w9CPFTBvn4lVNc/hJFaxOYplID7VLEfEh2QEs1kEq+gSGEatKHG2nNjUlOhh -0T4Tq2p+w0nsYnN0iTRxqW7fBdMR8SMZuWwWwSq6BIZRK0qcLSeCRU2JHhbt -M9Gq5jWcxDI2R7MMxKW6/SCYjogfychlswiW0SW63Rl3wbAVJcaWkxHGNSXK -HYElA+aXS9WwtJwILsNJXAsnaBNpCK5qLkJgAkq2OZtFhWDVG46iS0zKWZAA -Q2CIP8ls8kO2Ak/LiaNwEuzCaUBHNZqShavecBNdYlTOggMoAkP8SWaTH7IZ -aFpO3IST4BdOCTqq0ZSMSvXGBIz5G9G1nGCUTCKulpMJGIXjVQ0FyFRvTKCR -v7EASqoRkCyKlpMJBIRbBiXVyEp+A9zVGxNo5G/ogV41ApJF0XIygYBwINCr -Rl4y5NUbE0jkb+iBXzX8ksXRcjIBv3Ag8KsWgWSm4OqNYGDVgoFVCwZWzS+4 -eiMYWLVgYNWCgVXzDa7eCAZWLRhYtWBg1RgMBoOBk/8Am7cdXw== +1:eJztnQtQTWkAgLNrdnfs7CxrDLOmGaxHISmzKUQpWU07VHYLsTQlQkxFtp0t +79bGZFY0m7LVhg01kUcUO7Jais0qikp6l0Iv3dt9nb23w7Vu95z/3vPq/4// +m2Fw75xz/u//u+ecnOYb7bvRY/V7JiYmIR+pf/NYFeYYHLzqe8/B6r98ExSy +NiDI329BUKh/gH+wre/76n/8Qv2reoCJiebPBLwoVf19BBgDwNMkMFi4ALzD +kpXPctf4JNd01aZt8j9cKdV5VV6T5Ol7vY0guoqCZq/Ibzdq07KneT8vmBn5 +QEJ0l4TNXpTdqmtZ2VGcduTk5cupkat23Wz//6sqyZNLR49lXUgKtf7ss1Hj +J0ywcN7zUKJ9WdGSu2PJnCmjPh0yxnyyzZKzzQqjDqyfoFQNFAUCPE1Y9WsA +4zUMOuGMl73IVLMeDi+SOVoAQtKev9xuXV5+0sGcZnmfF1WtFz1dTzQoCOnD +XbbOp5qUxm69Lc/HJfaxpCnLd0dBh45F5fMr676OrewhCGnZLoel+R1vdtt2 +PcQ9tqJHM0uJTm4Xdf0rJU0tUlV3caRXck3fg4YWOtV0ooAApwmrfg1ovIYB +Es5o2YtMNevh8CKZowWgRd542tvK51YH5RukFTFe3+4vZ3EK6C7ePPFzC+sV +V5/rO9Su24EuUQ+lhKL+dwfbqEe619hgJKV73CJuFqYk3evzuaNsznC1jy5X +uyJe3g12Di/u1r70/IrHzIgHmlH1lO93/u5vvQKkZfu84x/LjD4k/fS3ahpR +YEDThFVrMWi8QEDCmS17DSJS3bt9FsPhRzI3C+AV8oZ0v1nDTL1pDCvbizIy +itqMvrjVIquKne0Ud9zXZtml1r5bUZ++7OZdaFX1VP7qOHH5rQ7j9yO5v93R +58djFd19X+rI9xpnl1qvvvvp+nenzyHNee0VyqZTc+32agRLK+KWbPunU9+W +5dUJ85fm6F0XxtP/qmlEAQFOE1at3bQh4wUCFM5o2WsQkereI2AxHH4kc7MA +SGR1p384cD7aeiydYXrCqGlsbNS8Q16X4jQjuryr/vgK1903dGdK0XDC0WzO +XJ9N26NjFk5buO9MVbd+2fo3rqGjcN2a1Bp9Z1FJaaTFyOlukclnM48l/dn0 +1lvkDafXum9NOnc29WhOHcWlu7z2N6fxC863MF9dWiBQTSOKYhdvJAOnCat+ +gyHj1b8jI4QzXPaE4aoVzVkBGwpoFfa7aoOGI7hkIxbAqwOhUC2rSQuPL2uv +OjyNyrCs5XriGhd797374ukuvXpqz8dEH0k9FDB+0AfDXdbvTKky+KZG1Zq9 +2OlQFfguRfGi4EiIz1K/oNDw3QlF7QZ9Jcur4+1t9+lcQ/QLMKg2AErJwGnC +qhnBXDgNXM2Foi5lntvVF9RvQEQ11JJfHaJe1T1PUsMTyyWE7Am1YYJou+Y+ +dvqBzLgHlCdJVUfBZps58dUyQlq2zXz4jLRGIy6ENJLsthQD77wlpVGzzJal +1xtlU1Z10G7qlhImt/XcAoVqMNSSgdOEVTOBhXAaOJsLwEc0Iqohl0yiT7W0 +Mjk8+bHmGpzWcNft1WZWEZm/3KH8Vo+y5dxXppa9p5POQt9J9gl8/Efxy6LA +0Z+MnOvhpcbbL6r0Jfe7YIK84ZTv/Dk6uK6/0faWLFRUQyqZRFyqSSAV/ka1 +ndmQoZYz0VYNqWQSOtXSR9EOlhaWvUw0HfTh4HFTHDfe7dLdRHdJ2KRJgRmx +155SPm4or038csQ0tVdlS/baxVFFnXw8/d2W5zJizIa7UOk1FGRUoyyZBBnV +JLALp7uKRkY17JJJ6G9Y5DUJNuP0nwR7KqKtzHxOxqXe/iu3hOJRC2Xn/T/C +A0MPpp3JvFr5kqefzpE+irIYZhVTbvwDeVABt2qRSCaBWzUJ7MKB34smgVs1 +7JJJGH9ES8p22E/2WOkZlFjcSeG3NXuluenQjwcOUDNwsHUIqwdMqFF13jvs +6zBj4eotEdt2xmQ1cvVMp7BArlockkkgV00CuXD2H9EwqIZcMomBqo1H1njx +p53p1eQJSiV/Xnhg600edoPBqgUEqxYMrJpfFE3p88c6Zz4lT4/KzvLcMzn1 +cN9PoApWLRhYtWBg1Xyj6iqOXmQ+wnSqi3fA1r3xGXeeIfRD/2iBVQsGVi0Y +WDUGg8FgMBgMBoPBYDAYDAaDwWAwGAre4TzNOwGeX4HBwgVA7JLZRJeAMGtF +ibDlxCL0A4RN+0yEqkn4DCcxF06zDMSnmt2IeJGMYDaLVXTJAJi0okTacmIY ++jEA5u0zsarmOZzEKjZHsQzEp5rliPiQjGA2i2AVXQLDqBUlzpYTm5oSPSza +Z2JVzW84iV1sji6RJi7VvbtgOiJ+JCOXzSJYRZfAMGpFibPlRLCoKdHDon0m +WtW8hpNYxuZoloG4VPceBNMR8SMZuWwWwTK6RLc7zS4YtqLE2HLSwLimRLkj +sGTA/HKpGpaWE8FlOIlr4QRtIg3BVc1FCExAyUZns6gQrHrDUXSJSTkLEmAI +DPEnmU1+yFjgaTlxFE6CXTgN6KhGU7Jw1RtuokuMyllwAEVgiD/JbPJDRgNN +y4mbcBL8wilBRzWaklGp3miBMX8jupYTjJJJxNVy0gKjcLyqoQCZ6o0WNPI3 +ekBJNQKSRdFy0oKAcP2gpBpZya+Bu3qjBY38DT3Qq0ZAsihaTloQEA4EetXI +S4a8eqMFifwNPfCrhl+yOFpOWuAXDgR+1SKQzBRcvREMrFowsGrBwKr5BVdv +BAOrFgysWjCwar7B1RvBwKoFA6sWDKwag8FgMHDyH5K8HX8= "], {{0, 35}, {481, 0}}, {0, 255}, ColorFunction->RGBColor], @@ -2967,7 +2967,7 @@ eiMYWLVgYNWCgVXzDa7eCAZWLRhYtWBg1RgMBoOBk/8Am7cdXw== ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[2]=", - CellID->1422874292] + CellID->694955970] }, Open ]] }, Open ]], @@ -3444,120 +3444,120 @@ X6RbB9UlGgBXCnUTgB4dhNCsYwC86pGJoKEseGMxY/JY5L3HRHcANofyxspJ Uryv39qHRRlHD8QGuk7dWNhGwSVCuBAE6VqKMnMqbn8d4DI75R51B2cZG9pj 9Pf/F7rwssL0G7mhw2Qc5VIYHhpZ6NFBvnpcaED6Id0dgA2AKq6sDkkoaMPY m0I7ipMi3ky+pUIflW/3G/9K1kOaphpxkK4xfYHYYeKshZ9lNVC1RWFsaAOQ -7Bou6CATR60U5nWQhCYdJKvHkQZkANimcB9d40/R8+YMYcHawqHN0a0o2v3x -0QrMc5BdlTsDfGP7L1tpL1zsPuP4fasuO8WFsSAWEv8VIfUdg/jPxhPRDyd0 -MB/Hhg7ivuiHZR08bkAD5nUHwH1QdfWpPUdLOrAF6hvTA12lPz++cL53NyLI -P66Enj8kYyyIxUQye2Ic0cF8HBs6TMO6Dh43oPEiwPcUPqCpzz5w5Hr/kdPu -trKsnMbBV5+gspy5bgEptdoetLN0d8jy4/U0XWfOWBCLiaa7hjM6mI9jQ4cp -OKCDxw1oBGxTbB99y9lVz9sPH2Zg+CjJXqMLGlFVyb6IkNh936cmfX7sVgd9 -R1gZC2IxkbhrOKWD+TgWdBDCER08bsChwDYFAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAA4A7deivv6YBa+wGcx+oSMQn/dTAP9AgBNtUd/fBO -h052LftcDf4TiyimW1WZm31TYXTzbFRVundlqL/ni/sJn0RBgO5h7qZlUh+f -yHyFDSsi0GF9iQbAs0AhvNdBH9AjePCmO/qxdR04dJbEeTkFHapl6FYO+oYT -gSLPj4pVxi9paw++gFj1AKD2gkix69LLtuyHWIf1JeqHwAKF8F4HTUCP4MGn -7ujHpnXggmpa5RqcIWnl5XnZv5X+nnky649WajbbqLb1vhLro/QNaVKRZ3yp -5be+U96McXdbnluWfSz10KEjp67iLHHvoPLPXCi/cfZURl69qq38QsbJXytU -rN9MxACRDutLNJCCZ4FC47zXQduSc6JHqG58SmC/O6g1buM6MNDcz0hcNtNr -ckIpxtPlejR1370lFjxl7zYzdLrjKI94zDeZg16WtzUiwGVc8OkHxhq6mzNf -HTvhg/6bdVuEujTeZ0JE7vXUJf5hiWlXyuVYezO6ptOxPqNGjPYMjljiNdoO -kQRHRgY6Okw/Vs/MncGJINZBRYn6ILBAqXGe66BpybnQI5Q3PiWw3h00GLdZ -HYlGNDU1PX4F1dz78WWnCe/jeFCXfeqNBBys7Sjf5isKwHtOHpmgf+j8c407 -Ik1rMN7UorKcMGfxCtznu5qOeHRniy/iHT4/fFe+jECy5u5+CeK3q0rdnDlH -5LriSlv71bfFY0NzZUx9+7RYh/UlMoBvgULjvNdh2ZLbRI+YOw0ohMvdQblx -zulA1dVp64N9nIRj3IPW/FCFfxpR03Dmm5TDB79cvyhkdW7Lk6Ui9tBV+YUf -IkmuUd49IEEm76k2eeYLP8iAuizRG5mGVRRUkb/UZXz4xVYTqxL8CE31nslC -gYOdcMruKoJng+v+/na6yGfz7U75udedx79xuVVZvGqiaNYJjClkHrTrsL5E -BvAtUGic9zosXHJb6BGzp4Fp+NAdlBtnTwcO6jv741KuNWu08pspi8c965+E -l6WtPR59oq53M4g+am5QDbKkuNzn4RK2B23NV/6I384qZV3qNBGZM1/4QQa6 -Knf4OU7Zh3VZRnvRO27Oc39pMXFoEj9Cey9lqqP3urQYj9HPxRS0480sfWN6 -kJNHXIlKkb/MxXn+WZnqrw1eyLTDddYeaqFdh/UlMoBvgULjvNdh4ZLbQo+Y -PQ1Mw4fuoNw4ezrwkh7kXWwyDLzz1loP10W43/q6qpPDFm7Lkw+uoL7lwrYo -X6EACd5arDQaj152afO8sQJ7j6iE2NecBSM9156Xm9x1xA4aQFOTLEEmba8Y -uknuVhTuiJokFIx5aVOBwsScwI7Q1KfHhzoL7CdGxb075ZkRdq5LkiowDjrq -W85vCRePtBMv3RgX4St82mFG9Ib3pI4CoSQhv9W6U6s067C+RAPgWaDQOO91 -WLHknO8RS6ZB3+81n/lw3fUO7Bd50B1UG6dZh9Uob6ycJMU7zKZ9WJRx9EBs -oOvUjYVtdF5NQxCkaynKzKm4/XWAy+yUe1YcDWRsLFbBqg4GLJDJ4hDc6A6T -cTbeI6QfyPWf6Q6TiRwGVVxZHZJQ0Ibx3QntKE6KeDP5lgp9VL7db/wrWQ9p -GhVxkK4xfYHYYeKshZ9lNVhsi7GxWAmLOhiwQDKLO3ChO8jE2XqPkNym/Ee6 -g0wid+lWFO3++GgF5kmvrsqdAb6x/ddJtBcudp9x/D49V2gyEMTYWIaia/wp -et6cISxYW4jVFuzqYLJEoMNc+Nkj/+qQ+o5B/GdzVwfzxWFVB5nuwARVV5/a -c7SkA/s39I3pga7Snx9fZ927GxHkH1di/Z8DsRTE2FisgV0dTJYIdJgL33vE -9PeU/053sJVIAZr67ANHrvcfpOtuK8vKaRx8sQIqy5nrFpBSq+1BO0t3hyw/ -Xk/Thc0MBDE2FsthWweTJQId5sL3HjG1TWFbB/PFsYEeGYK+5eyq5+2HDzMw -fJRkr9H1b6iqZF9ESOy+71OTPj92q4O+g3kMBDE2Fsvggg4mSwQ6zIXnPUK4 -TeGCDuaLw/EeAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA4Deo -nrqHMXVT+FkcgsoSMQlPdVACC05BB0XAKssInexa9rka/KfkUEy3qjI3+6bC -6IbNuoe5m5ZJfXwi8xXWLgqqKt27MtTf88X9WI+h4DgEOigs0QB4OiiErzoG -sKaGdDglhvc6KAdWWWbSWRLn5RR0qJahGwfoG04Eijw/KlYZv9ReECl2XXqZ -it7S1h58AaH1+TV0QayDwhL1Q6CDQviqox8ra0i5U5PwWwflwCrLbFBNq1yD -UxStvDwv+7fS3zNPZv3RSs2+LKptva/E+ijlzRh3t+W5ZdnHUg8dOnLqqhV5 -+oY0qcgzvhT7nm29g8o/c6H8xtlTGXn1qrbyCxknf61QceXWCUQ6KCzRQBye -DgrV81XHwHvwakgGkk5Bx2NMrKzoWXJOrLKoXg/TheZ+RuKymV6TE0oxHjHW -o6n77i2x4Cl7t5mh0x1HecRjvskc9LK8rREBLuOCTz8wNq0ujfeZEJF7PXWJ -f1hi2pVyueX7It3Nma+OnfBB/12mh6BrOh3rM2rEaM/giCVeo+0QSXBkZKCj -w/Rj9czcq50IYh2UlqgPAh2Uquerjj4IpzQZSDkFHT2mdNC05FxYZVG+HqaA -RCOampoev4Jq7v34stOE9zGH0luzsk+9kYCDtR3l23xFAXjPZiMT9A+df65x -R6RpDcab2kd3tvgi3uHzw3fly8jMAoIsVJYT5ixegfN4Us3d/RLEb1eVujlz -jsh1xZW29qtvi8eG5sqYOvZgsQ4KS2QAXweF6vmqwwB+DUlEkHUKOkzqsGzJ -rekRxlZZ5tq3HFRdnbY+2MdJOMY9aM0PVfjnrTQNZ75JOXzwy/WLQlbntjxZ -G+KhdFV+4YdIkmuUdw9IkMl7qk2ePMIPMqAuS/RGpmEVRVO9Z7JQ4GAnnLK7 -auizoM0dlCJ/qcv48IutmAXR/f3tdJHP5tud8nOvO49/43KrsnjVRNGsE0Tr -BFLQroPCEhnA10Gher7qMIBfQzIRJJ2Cjh5TOixccltYZZlt32LUd/bHpVxr -1mjlN1MWj3vWPwkvS1t7PPpEXe+GFH3U3KAaPJTLfUO5hD0Ubc1X/ojfzipl -Xeo0EZmTR/hBBroqd/g5TtmHcWWD9l7KVEfvdWkxHqOfiyloN71TRJDVXvSO -m/PcX1owj0XoG9ODnDziSlSK/GUuzvPPylR/bfBCph2us/a7Pf06KCxRPwQ6 -KFTPUx0G8GtIJoKkU9DRY0qHhUtuC6sss+1bjPZB3sUmw0g7b631cF2Euz/V -VZ0ctnBbnnxwyfQtF7ZF+QoFSPDWYqVRRfSyS5vnjRXYe0QlxL7mLBjpufa8 -3OS+CnbQAJqaZAkyaXvF0I26pj49PtRZYD8xKu7dKc+MsHNdklRh8pAhdla3 -onBH1CShYMxLmwoURob0Lee3hItH2omXboyL8BU+7TAjesN7UkeBUJKQ32ry -cLi++cyH6653YL9Isw4KS/TvZ+LooFA9nToIoVnHAHg1JBNB0qmN6GCzO6xY -cs6vsiyxTwXKGysnSfG+fmsfFmUcPRAb6Dp1Y2EbnZdvEATpWooycypufx3g -MjvlHhVHAxkb1BOYfjqqAdDBKejRQb6GzBcHuoMk0CM4oIorq0MSCrAeY492 -FCdFvJl8S4U+Kt/uN/6VrIc0DYY4SNeYvkDsMHHWws+yGqzXw9ighkCya0AH -pxqGJh0ka8h8caA7SAI9gku3omj3x0crME96dVXuDPCN7b9Oor1wsfuM4/fp -uSSQsSCGs/rQNf4UPW9OH1LfMYj/7Mc/LlhbiNUWoINBHU/AVR1MFwe6gzT8 -7BHzugMTVF19as/Rkg7s39A3pge6Sn9+fGF1725EkH9cCfZf1FgLY0EMZw1J -NrknBjoY1GEa1nUwXxzoDpJAj2Cjqc8+cOR6/7G57rayrJzGwVcnoLKcuW4B -KbXaHrSzdHfI8uP1NF3YzFgQw1mDMdU1oINRHabggA7miwPdQRLoEQz0LWdX -PW8/fJiB4aMke40ueENVJfsiQmL3fZ+a9PmxWx30HcNjLIjhrEEQdg3oYFoH -IRzRwXxxoDtIAj0CAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADA -PKieuWdlU0+3TS89XbDmlH866B+RbTcgszBaK/5NZmrQya5ln6vBvAeP7mHu -pmVSH5/IfAVltetWVeZm31TQf8NmVFW6d2Wov+eL+wmfbsE1CHQMYE0N6XBK -Bv7poHBEeELZksVZOLKystHJzBSdJXFeTkGHarHvF9BeECl2XXqZOkv6hhOB -Is+PilVUfSAB2tqDLyC0PsWGeoh19GNlDSl3ShL+6aBqRARC2ZLFTbizsrLF -ycwcqKZVrsHRoLwZ4+62PLcs+1jqoUNHTl1ttf7rBaptva/E+hitvDz/zIXy -G2dPZeTVq9rKL2Sc/LVCZcWNDPQNaVKRZ3wp9g3beuPysn8r/T3zZNYfFAyL -Moh0DLwHr4ZkIOkUdDyGSAfxiMxKwRNKYQOaJdQWdTC5srJePS90YKC5n5G4 -bKbX5IRS7IeUqUvjfSZE5F5PXeIflph2pVxu3c3P9LK8rREBLuOCTz8YWjtd -0+lYn1EjRnsGRyzxGm2HSIIjIwMdHaYfq7f4rtDdzZmvjp3wQf8tpoegqfvu -LbHgKXu3maHTHUd5xOOMn2FM6eiDoIbkIOUUdPSY1kE0IvIQCqWsAc0Saps6 -mFtZWa/e5nUkGtHU1PT4FVRz78eXnSa8j1ObR3e2+CLe4fPDd+XLyKxL8IP+ -ofPPNe6INK3BeFOrubtfgvjtqlI3Z84Rua640tZ+9W3x2NBcGeEuO0EiKssJ -cxavwHlIqbrsU28k4GBtR/k2X1EA3mPnaMFiHQbwa0gigqxT0GFSB/GISHz+ -P+ALpbABzRJqizqYXFlZr56jOlB1ddr6YB8n4Rj3oDU/VOGf1dU0nPkm5fDB -L9cvClmd2/JkhYhro6neM1kocLATTtldRfzAbZNBBtRlid7INKyi6P7+drrI -Z/PtTvm5153Hv3G5VVm8aqJo1gmiNSfx0BT5S13Gh19sxSxLV+UXfogkuUZ5 -94AEmbynmoITbbTrMIBfQzIRJJ2Cjh5TOohHRObzDeALpbABzRJqizqYXFlZ -r55tHTio7+yPS7nWrNHKb6YsHvesfxJelrb2ePSJut5NN/qouUE1uNEv99Xm -EnZttPdSpjp6r0uL8Rj9XExBu+kTX/hBBroqd/g5TtmHcamEvjE9yMkjrkSl -yF/m4jz/rEz11wYvZNrhOuI9DoLE9qJ33Jzn/tKCeYBIW/OVP+K3s0pZlzpN -RM2JNtp1GMCvIZkIkk5BR49JHYQjIvP5BvCFUtiAZgm1RR1MrqysV8+2DrwF -fpB3sckw3s5baz1cF+Hu3nZVJ4ct3JYnH1w4fcuFbVG+QgESvLVYaeRAU58e -H+ossJ8YFffulGdG2LkuSaoweRgPO+jfz6xJliCTtlcM3Y3Qt5zfEi4eaSde -ujEuwlf4tMOM6A3vSR0FQklCfiuxN+zEbkXhjqhJQsGYlzYVKIw+QC+7tHne -WIG9R1RC7GvOgpGea8/jLfHg32s+8+G66x3YL9KsYwC8GpKJIOnURnQQQrMO -4hGR+fwB8IRS2IBmCbXF7mByZWW9ekZ0WI3yxspJUryjIdqHRRlHD8QGuk7d -WNhG5+NgCIJ0LUWZORW3vw5wmZ1yj7qjgYwN7TGmn45qgB4d5GvIbFnYzzUB -q93BZFOwWn+Wu8NcGPDC0XYgBaq4sjokoQDrMfZoR3FSxJvJt1Too/LtfuNf -yXpI09iIg3SN6QvEDhNnLfwsq4GqLQpjQxuAZNfQpINkDZkvC7u5JmGxO5hs -Ctbrz253mAUDXljXYRXdiqLdHx+twDzp1VW5M8A3tv86ifbCxe4zjt+3+FJQ -QhgLYiFR1/hT9Lw5fUh9xyD+sx//uGBtIVZbsK6DeRFM5/6r4wk4qYNJF2x5 -t63uYCyINR0UgKqrT+05WtKBffxd35ge6Cr9+fHl1b27EUH+cSXW/3UWq0Es -JpLZE2NdBxtlYTOXGHZ1MFkTDtTfBrqDsSAO6LAUTX32gSPX+w/VdbeVZeU0 -Dr5GAZXlzHULSKnV9qCdpbtDlh+vp+nCZsaCWEw03TUc0MFGWdjMJYJtHUzW -hAP1t4HuYCyIAzosQt9ydtXz9sOHGRg+SrLX6LI3VFWyLyIkdt/3qUmfH7vV -Qd8hPcaCWEwk7hqO6GChLKzm4sEFHUzWhP3620J3MBbEvg4AAAAAAAAAAAAA -AAAA+E/x//NMn5Y= +7Bou6CATR60U5nWQhCYdJKvHkQZkANimcB9d40/R8+YMYcHawqHN0d1WtPvj +oxWY5yC7KncG+Mb2X7bSXrjYfcbx+1ZddooLY0EsJP4rQuo7BvGfjSeiH07o +YD6ODR3EfdEPyzp43IAGzOsOgPug6upTe46WdGAL1DemB7pKf3584XzvbkSQ +f1wJPX9IxlgQi4lk9sQ4ooP5ODZ0mIZ1HTxuQONFgO8pfEBTn33gyPX+I6fd +bWVZOY2Drz5BZTlz3QJSarU9aGfp7pDlx+tpus6csSAWE013DWd0MB/Hhg5T +cEAHjxvQCNim2D76lrOrnrcfPszA8FGSvUYXNKKqkn0RIbH7vk9N+vzYrQ76 +jrAyFsRiInHXcEoH83Es6CCEIzp43IBDgW0KAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAwB269Vbe0wG19gM4j9UlYhL+62Ae6BECbKo7+uGd +Dp3sWva5GvwnFlFMt6oyN/umwujm2aiqdO/KUH/PF/cTPomCAN3D3E3LpD4+ +kfkKG1ZEoMP6Eg2AZ4FCeK+DPqBH8OBNd/Rj6zpw6CyJ83IKOlTL0K0c9A0n +AkWeHxWrjF/S1h58AbHqAUDtBZFi16WXbdkPsQ7rS9QPgQUK4b0OmoAewYNP +3dGPTevABdW0yjU4Q9LKy/Oyfyv9PfNk1h+t1Gy2UW3rfSXWR+kb0qQiz/hS +y299p7wZ4+62PLcs+1jqoUNHTl3FWeLeQeWfuVB+4+ypjLx6VVv5hYyTv1ao +WL+ZiAEiHdaXaCAFzwKFxnmvg7Yl50SPUN34lMB+d1Br3MZ1YKC5n5G4bKbX +5IRSjKfL9WjqvntLLHjK3m1m6HTHUR7xmG8yB70sb2tEgMu44NMPjDV0N2e+ +OnbCB/0367YIdWm8z4SI3OupS/zDEtOulMux9mZ0TadjfUaNGO0ZHLHEa7Qd +IgmOjAx0dJh+rJ6ZO4MTQayDihL1QWCBUuM810HTknOhRyhvfEpgvTtoMG6z +OhKNaGpqevwKqrn348tOE97H8aAu+9QbCThY21G+zVcUgPecPDJB/9D55xp3 +RJrWYLypRWU5Yc7iFbjPdzUd8ejOFl/EO3x++K58GYFkzd39EsRvV5W6OXOO +yHXFlbb2q2+Lx4bmypj69mmxDutLZADfAoXGea/DsiW3iR4xdxpQCJe7g3Lj +nNOBqqvT1gf7OAnHuAet+aEK/zSipuHMNymHD365flHI6tyWJ0tF7KGr8gs/ +RJJco7x7QIJM3lNt8swXfpABdVmiNzINqyioIn+py/jwi60mViX4EZrqPZOF +Agc74ZTdVQTPBtf9/e10kc/m253yc687j3/jcquyeNVE0awTGFPIPGjXYX2J +DOBboNA473VYuOS20CNmTwPT8KE7KDfOng4c1Hf2x6Vca9Zo5TdTFo971j8J +L0tbezz6RF3vZhB91NygGmRJcbnPwyVsD9qar/wRv51VyrrUaSIyZ77wgwx0 +Ve7wc5yyD+uyjPaid9yc5/7SYuLQJH6E9l7KVEfvdWkxHqOfiylox5tZ+sb0 +ICePuBKVIn+Zi/P8szLVXxu8kGmH66w91EK7DutLZADfAoXGea/DwiW3hR4x +exqYhg/dQblx9nTgJT3Iu9hkGHjnrbUerotwv/V1VSeHLdyWJx9cQX3LhW1R +vkIBEry1WGk0Hr3s0uZ5YwX2HlEJsa85C0Z6rj0vN7nriB00gKYmWYJM2l4x +dJPcrSjcETVJKBjz0qYChYk5gR2hqU+PD3UW2E+Mint3yjMj7FyXJFVgHHTU +t5zfEi4eaSdeujEuwlf4tMOM6A3vSR0FQklCfqt1p1Zp1mF9iQbAs0Chcd7r +sGLJOd8jlkyDvt9rPvPhuusd2C/yoDuoNk6zDqtR3lg5SYp3mE37sCjj6IHY +QNepGwvb6LyahiBI11KUmVNx++sAl9kp96w4GsjYWKyCVR0MWCCTxSG40R0m +42y8R0g/kOs/0x0mEzkMqriyOiShoA3juxPaUZwU8WbyLRX6qHy73/hXsh7S +NCriIF1j+gKxw8RZCz/LarDYFmNjsRIWdTBggWQWd+BCd5CJs/UeIblN+Y90 +B5lE7tLdVrT746MVmCe9uip3BvjG9l8n0V642H3G8fv0XKHJQBBjYxmKrvGn +6HlzhrBgbSFWW7Crg8kSgQ5z4WeP/KtD6jsG8Z/NXR3MF4dVHWS6AxNUXX1q +z9GSDuzf0DemB7pKf358nXXvbkSQf1yJ9X8OxFIQY2OxBnZ1MFki0GEufO8R +099T/jvdwVYiBWjqsw8cud5/kK67rSwrp3HwxQqoLGeuW0BKrbYH7SzdHbL8 +eD1NFzYzEMTYWCyHbR1Mlgh0mAvfe8TUNoVtHcwXxwZ6ZAj6lrOrnrcfPszA +8FGSvUbXv6Gqkn0RIbH7vk9N+vzYrQ76DuYxEMTYWCyDCzqYLBHoMBee9wjh +NoULOpgvDsd7BAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgN+g +euoextRN4WdxCCpLxCQ81UEJLDgFHRQBqywjdLJr2edq8J+SQzHdqsrc7JsK +oxs26x7mblom9fGJzFdYuyioqnTvylB/zxf3Yz2GguMQ6KCwRAPg6aAQvuoY +wJoa0uGUGN7roBxYZZlJZ0mcl1PQoVqGbhygbzgRKPL8qFhl/FJ7QaTYdell +KnpLW3vwBYTW59fQBbEOCkvUD4EOCuGrjn6srCHlTk3Cbx2UA6sss0E1rXIN +TlG08vK87N9Kf888mfVHKzX7sqi29b4S66OUN2Pc3ZbnlmUfSz106Mipq1bk +6RvSpCLP+FLse7b1Dir/zIXyG2dPZeTVq9rKL2Sc/LVCxZVbJxDpoLBEA3F4 +OihUz1cdA+/BqyEZSDoFHY8xsbKiZ8k5scqiej1MF5r7GYnLZnpNTijFeMRY +j6buu7fEgqfs3WaGTncc5RGP+SZz0MvytkYEuIwLPv3A2LS6NN5nQkTu9dQl +/mGJaVfK5Zbvi3Q3Z746dsIH/XeZHoKu6XSsz6gRoz2DI5Z4jbZDJMGRkYGO +DtOP1TNzr3YiiHVQWqI+CHRQqp6vOvognNJkIOUUdPSY0kHTknNhlUX5epgC +Eo1oamp6/Aqquffjy04T3sccSm/Nyj71RgIO1naUb/MVBeA9m41M0D90/rnG +HZGmNRhvah/d2eKLeIfPD9+VLyMzCwiyUFlOmLN4Bc7jSTV390sQv11V6ubM +OSLXFVfa2q++LR4bmitj6tiDxTooLJEBfB0UquerDgP4NSQRQdYp6DCpw7Il +t6ZHGFtlmWvfclB1ddr6YB8n4Rj3oDU/VOGft9I0nPkm5fDBL9cvClmd2/Jk +bYiH0lX5hR8iSa5R3j0gQSbvqTZ58gg/yIC6LNEbmYZVFE31nslCgYOdcMru +qqHPgjZ3UIr8pS7jwy+2YhZE9/e300U+m293ys+97jz+jcutyuJVE0WzThCt +E0hBuw4KS2QAXweF6vmqwwB+DclEkHQKOnpM6bBwyW1hlWW2fYtR39kfl3Kt +WaOV30xZPO5Z/yS8LG3t8egTdb0bUvRRc4Nq8FAu9w3lEvZQtDVf+SN+O6uU +danTRGROHuEHGeiq3OHnOGUfxpUN2nspUx2916XFeIx+Lqag3fROEUFWe9E7 +bs5zf2nBPBahb0wPcvKIK1Ep8pe5OM8/K1P9tcELmXa4ztrv9vTroLBE/RDo +oFA9T3UYwK8hmQiSTkFHjykdFi65LayyzLZvMdoHeRebDCPtvLXWw3UR7v5U +V3Vy2MJtefLBJdO3XNgW5SsUIMFbi5VGFdHLLm2eN1Zg7xGVEPuas2Ck59rz +cpP7KthBA2hqkiXIpO0VQzfqmvr0+FBngf3EqLh3pzwzws51SVKFyUOG2Fnd +isIdUZOEgjEvbSpQGBnSt5zfEi4eaSdeujEuwlf4tMOM6A3vSR0FQklCfqvJ +w+H65jMfrrvegf0izTooLNG/n4mjg0L1dOoghGYdA+DVkEwESac2ooPN7rBi +yTm/yrLEPhUob6ycJMX7+q19WJRx9EBsoOvUjYVtdF6+QRCkaynKzKm4/XWA +y+yUe1QcDWRsUE9g+umoBkAHp6BHB/kaMl8c6A6SQI/ggCqurA5JKMB6jD3a +UZwU8WbyLRX6qHy73/hXsh7SNBjiIF1j+gKxw8RZCz/LarBeD2ODGgLJrgEd +nGoYmnSQrCHzxYHuIAn0CC7dbUW7Pz5agXnSq6tyZ4BvbP91Eu2Fi91nHL9P +zyWBjAUxnNWHrvGn6Hlz+pD6jkH8Zz/+ccHaQqy2AB0M6ngCrupgujjQHaTh +Z4+Y1x2YoOrqU3uOlnRg/4a+MT3QVfrz4wure3cjgvzjSrD/osZaGAtiOGtI +ssk9MdDBoA7TsK6D+eJAd5AEegQbTX32gSPX+4/NdbeVZeU0Dr46AZXlzHUL +SKnV9qCdpbtDlh+vp+nCZsaCGM4ajKmuAR2M6jAFB3QwXxzoDpJAj2Cgbzm7 +6nn74cMMDB8l2Wt0wRuqKtkXERK77/vUpM+P3eqg7xgeY0EMZw2CsGtAB9M6 +COGIDuaLA91BEugRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +5kH1zD0rm3q6bXrp6YI1p/zTQf+IbLsBmYXRWvFvMlODTnYt+1wN5j14dA9z +Ny2T+vhE5isoq123qjI3+6aC/hs2o6rSvStD/T1f3E/4dAuuQaBjAGtqSIdT +MvBPB4UjwhPKlizOwpGVlY1OZqboLInzcgo6VIt9v4D2gkix69LL1FnSN5wI +FHl+VKyi6gMJ0NYefAGh9Sk21EOsox8ra0i5U5LwTwdVIyIQypYsbsKdlZUt +TmbmQDWtcg2OBuXNGHe35bll2cdSDx06cupqq/VfL1Bt630l1sdo5eX5Zy6U +3zh7KiOvXtVWfiHj5K8VKituZKBvSJOKPONLsW/Y1huXl/1b6e+ZJ7P+oGBY +lEGkY+A9eDUkA0mnoOMxRDqIR2RWCp5QChvQLKG2qIPJlZX16nmhAwPN/YzE +ZTO9JieUYj+kTF0a7zMhIvd66hL/sMS0K+Vy625+ppflbY0IcBkXfPrB0Nrp +mk7H+owaMdozOGKJ12g7RBIcGRno6DD9WL3Fd4Xubs58deyED/pvMT0ETd13 +b4kFT9m7zQyd7jjKIx5n/AxjSkcfBDUkBymnoKPHtA6iEZGHUChlDWiWUNvU +wdzKynr1Nq8j0YimpqbHr6Caez++7DThfZzaPLqzxRfxDp8fvitfRmZdgh/0 +D51/rnFHpGkNxptazd39EsRvV5W6OXOOyHXFlbb2q2+Lx4bmygh32QkSUVlO +mLN4Bc5DStVln3ojAQdrO8q3+YoC8B47RwsW6zCAX0MSEWSdgg6TOohHROLz +/wFfKIUNaJZQW9TB5MrKevUc1YGqq9PWB/s4Cce4B635oQr/rK6m4cw3KYcP +frl+Ucjq3JYnK0RcG031nslCgYOdcMruKuIHbpsMMqAuS/RGpmEVRff3t9NF +Pptvd8rPve48/o3LrcriVRNFs04QrTmJh6bIX+oyPvxiK2ZZuiq/8EMkyTXK +uwckyOQ91RScaKNdhwH8GpKJIOkUdPSY0kE8IjKfbwBfKIUNaJZQW9TB5MrK +evVs68BBfWd/XMq1Zo1WfjNl8bhn/ZPwsrS1x6NP1PVuutFHzQ2qwY1+ua82 +l7Bro72XMtXRe11ajMfo52IK2k2f+MIPMtBVucPPcco+jEsl9I3pQU4ecSUq +Rf4yF+f5Z2WqvzZ4IdMO1xHvcRAkthe94+Y895cWzANE2pqv/BG/nVXKutRp +ImpOtNGuwwB+DclEkHQKOnpM6iAcEZnPN4AvlMIGNEuoLepgcmVlvXq2deAt +8IO8i02G8XbeWuvhugh397arOjls4bY8+eDC6VsubIvyFQqQ4K3FSiMHmvr0 ++FBngf3EqLh3pzwzws51SVKFycN42EH/fmZNsgSZtL1i6G6EvuX8lnDxSDvx +0o1xEb7Cpx1mRG94T+ooEEoS8luJvWEndisKd0RNEgrGvLSpQGH0AXrZpc3z +xgrsPaISYl9zFoz0XHseb4kH/17zmQ/XXe/AfpFmHQPg1ZBMBEmnNqKDEJp1 +EI+IzOcPgCeUwgY0S6gtdgeTKyvr1TOiw2qUN1ZOkuIdDdE+LMo4eiA20HXq +xsI2Oh8HQxCkaynKzKm4/XWAy+yUe9QdDWRsaI8x/XRUA/ToIF9DZsvCfq4J +WO0OJpuC1fqz3B3mwoAXjrYDKVDFldUhCQVYj7FHO4qTIt5MvqVCH5Vv9xv/ +StZDmsZGHKRrTF8gdpg4a+FnWQ1UbVEYG9oAJLuGJh0ka8h8WdjNNQmL3cFk +U7Bef3a7wywY8MK6Dqvobiva/fHRCsyTXl2VOwN8Y/uvk2gvXOw+4/h9iy8F +JYSxIBYSdY0/Rc+b04fUdwziP/vxjwvWFmK1Bes6mBfBdO6/Op6AkzqYdMGW +d9vqDsaCWNNBAai6+tSeoyUd2Mff9Y3pga7Snx9fXt27GxHkH1di/V9nsRrE +YiKZPTHWdbBRFjZziWFXB5M14UD9baA7GAvigA5L0dRnHzhyvf9QXXdbWVZO +4+BrFFBZzly3gJRabQ/aWbo7ZPnxepoubGYsiMVE013DAR1slIXNXCLY1sFk +TThQfxvoDsaCOKDDIvQtZ1c9bz98mIHhoyR7jS57Q1Ul+yJCYvd9n5r0+bFb +HfQd0mMsiMVE4q7hiA4WysJqLh5c0MFkTdivvy10B2NB7OsAAAAAAAAAAAAA +AAAAgP8U/w/U/5+l "], {{0, 85}, {540, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -3571,7 +3571,7 @@ AAAA+E/x//NMn5Y= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[4]=", - CellID->104317204] + CellID->1583542038] }, Open ]] }, Open ]] }, Open ]], @@ -3658,7 +3658,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 49.451695}", + "built" -> "{2020, 6, 20, 19, 4, 14.612367}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -3680,8 +3680,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -3691,62 +3690,62 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7445, 217, 389, 15, 31, "PrimaryExamplesSection", + Cell[7444, 217, 389, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1586921873]}, + CellID->1070442148]}, "DiracTrace"->{ - Cell[8149, 248, 191, 6, 27, "Input", + Cell[8148, 248, 191, 6, 27, "Input", CellTags->"DiracTrace", CellID->60676203], - Cell[8343, 256, 661, 26, 40, "Output", + Cell[8342, 256, 661, 26, 40, "Output", CellTags->"DiracTrace"], - Cell[9041, 287, 228, 7, 27, "Input", + Cell[9040, 287, 228, 7, 27, "Input", CellTags->"DiracTrace", CellID->1088537337], - Cell[9272, 296, 1068, 42, 40, "Output", + Cell[9271, 296, 1068, 42, 40, "Output", CellTags->"DiracTrace"], - Cell[10790, 359, 303, 9, 27, "Input", + Cell[10789, 359, 303, 9, 27, "Input", CellTags->"DiracTrace", CellID->710007181], - Cell[11096, 370, 1966, 78, 40, "Output", + Cell[11095, 370, 1966, 78, 40, "Output", CellTags->"DiracTrace"], - Cell[20146, 743, 238, 7, 27, "Input", + Cell[20145, 743, 238, 7, 27, "Input", CellTags->"DiracTrace", CellID->196468068], - Cell[20387, 752, 1221, 48, 43, "Output", + Cell[20386, 752, 1221, 48, 43, "Output", CellTags->"DiracTrace"]}, "RasterizedOutput"->{ - Cell[24389, 920, 3219, 61, 59, "Output", + Cell[24388, 920, 3218, 61, 59, "Output", CellTags->"RasterizedOutput", - CellID->1546036623], - Cell[29609, 1066, 6448, 114, 133, "Output", + CellID->745659537], + Cell[29607, 1066, 6447, 114, 133, "Output", CellTags->"RasterizedOutput", - CellID->1367676074], - Cell[43895, 1501, 4589, 83, 98, "Output", + CellID->837611303], + Cell[43892, 1501, 4588, 83, 98, "Output", CellTags->"RasterizedOutput", - CellID->1815562078], - Cell[50593, 1672, 7455, 130, 139, "Output", + CellID->249793213], + Cell[50589, 1672, 7455, 130, 139, "Output", CellTags->"RasterizedOutput", - CellID->492128281], - Cell[58940, 1834, 22682, 380, 472, "Output", + CellID->715016264], + Cell[58936, 1834, 22681, 380, 472, "Output", CellTags->"RasterizedOutput", - CellID->1606718833], - Cell[95747, 2737, 4675, 85, 98, "Output", + CellID->253055425], + Cell[95748, 2737, 4674, 85, 98, "Output", CellTags->"RasterizedOutput", - CellID->1753947186], - Cell[102714, 2905, 3390, 64, 56, "Output", + CellID->410432361], + Cell[102714, 2905, 3385, 64, 56, "Output", CellTags->"RasterizedOutput", - CellID->1422874292], - Cell[116723, 3412, 9326, 161, 101, "Output", + CellID->694955970], + Cell[116718, 3412, 9327, 161, 101, "Output", CellTags->"RasterizedOutput", - CellID->104317204]} + CellID->1583542038]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 129811, 3692}, - {"DiracTrace", 129949, 3696}, - {"RasterizedOutput", 130612, 3717} + {"PrimaryExamplesSection", 129750, 3691}, + {"DiracTrace", 129888, 3695}, + {"RasterizedOutput", 130551, 3716} } *) (*NotebookFileOutline @@ -3758,193 +3757,193 @@ Cell[CellGroupData[{ Cell[4552, 124, 951, 25, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5528, 153, 739, 24, 31, "NotesSection", +Cell[5528, 153, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2091496943], -Cell[6270, 179, 31, 0, 70, "SectionHeaderSpacer"], + CellID->894721589], +Cell[6269, 179, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[6326, 183, 93, 2, 70, "Input"], -Cell[6422, 187, 962, 23, 93, "Output"] +Cell[6325, 183, 93, 2, 27, "Input"], +Cell[6421, 187, 962, 23, 94, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7445, 217, 389, 15, 31, "PrimaryExamplesSection", +Cell[7444, 217, 389, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1586921873], + CellID->1070442148], Cell[CellGroupData[{ -Cell[7859, 236, 197, 6, 26, "ExampleSection", - CellID->1676163414], -Cell[8059, 244, 65, 0, 32, "Notes"], +Cell[7858, 236, 197, 6, 26, "ExampleSection", + CellID->1068112497], +Cell[8058, 244, 65, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[8149, 248, 191, 6, 27, "Input", +Cell[8148, 248, 191, 6, 27, "Input", CellTags->"DiracTrace", CellID->60676203], -Cell[8343, 256, 661, 26, 40, "Output", +Cell[8342, 256, 661, 26, 40, "Output", CellTags->"DiracTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[9041, 287, 228, 7, 27, "Input", +Cell[9040, 287, 228, 7, 27, "Input", CellTags->"DiracTrace", CellID->1088537337], -Cell[9272, 296, 1068, 42, 40, "Output", +Cell[9271, 296, 1068, 42, 40, "Output", CellTags->"DiracTrace"] }, Open ]], -Cell[10355, 341, 410, 14, 32, "Notes"], +Cell[10354, 341, 410, 14, 32, "Notes"], Cell[CellGroupData[{ -Cell[10790, 359, 303, 9, 27, "Input", +Cell[10789, 359, 303, 9, 27, "Input", CellTags->"DiracTrace", CellID->710007181], -Cell[11096, 370, 1966, 78, 40, "Output", +Cell[11095, 370, 1966, 78, 40, "Output", CellTags->"DiracTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[13099, 453, 225, 6, 27, "Input"], -Cell[13327, 461, 1784, 75, 37, "Output"] +Cell[13098, 453, 225, 6, 27, "Input"], +Cell[13326, 461, 1784, 75, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[15148, 541, 159, 4, 27, "Input"], -Cell[15310, 547, 1327, 49, 37, "Output"] +Cell[15147, 541, 159, 4, 27, "Input"], +Cell[15309, 547, 1327, 49, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16674, 601, 89, 2, 27, "Input"], -Cell[16766, 605, 2306, 93, 37, "Output"] +Cell[16673, 601, 89, 2, 27, "Input"], +Cell[16765, 605, 2306, 93, 37, "Output"] }, Open ]], -Cell[19087, 701, 678, 23, 66, "Notes"], +Cell[19086, 701, 678, 23, 66, "Notes"], Cell[CellGroupData[{ -Cell[19790, 728, 105, 2, 9, "ExampleDelimiter"], -Cell[19898, 732, 223, 7, 32, "Notes"], +Cell[19789, 728, 105, 2, 9, "ExampleDelimiter"], +Cell[19897, 732, 223, 7, 32, "Notes"], Cell[CellGroupData[{ -Cell[20146, 743, 238, 7, 27, "Input", +Cell[20145, 743, 238, 7, 27, "Input", CellTags->"DiracTrace", CellID->196468068], -Cell[20387, 752, 1221, 48, 43, "Output", +Cell[20386, 752, 1221, 48, 43, "Output", CellTags->"DiracTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[21645, 805, 89, 2, 27, "Input"], -Cell[21737, 809, 651, 26, 35, "Output"] +Cell[21644, 805, 89, 2, 27, "Input"], +Cell[21736, 809, 651, 26, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[22425, 840, 230, 6, 27, "Input"], -Cell[22658, 848, 1602, 63, 43, "Output"] +Cell[22424, 840, 230, 6, 27, "Input"], +Cell[22657, 848, 1602, 63, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[24297, 916, 89, 2, 27, "Input"], -Cell[24389, 920, 3219, 61, 59, "Output", +Cell[24296, 916, 89, 2, 27, "Input"], +Cell[24388, 920, 3218, 61, 59, "Output", CellTags->"RasterizedOutput", - CellID->1546036623] + CellID->745659537] }, Open ]], Cell[CellGroupData[{ -Cell[27645, 986, 230, 6, 27, "Input"], -Cell[27878, 994, 1602, 63, 42, "Output"] +Cell[27643, 986, 230, 6, 27, "Input"], +Cell[27876, 994, 1602, 63, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[29517, 1062, 89, 2, 27, "Input"], -Cell[29609, 1066, 6448, 114, 133, "Output", +Cell[29515, 1062, 89, 2, 27, "Input"], +Cell[29607, 1066, 6447, 114, 133, "Output", CellTags->"RasterizedOutput", - CellID->1367676074] + CellID->837611303] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[36106, 1186, 105, 2, 9, "ExampleDelimiter"], -Cell[36214, 1190, 201, 6, 32, "Notes"], +Cell[36103, 1186, 105, 2, 9, "ExampleDelimiter"], +Cell[36211, 1190, 201, 6, 32, "Notes"], Cell[CellGroupData[{ -Cell[36440, 1200, 529, 16, 46, "Input"], -Cell[36972, 1218, 1273, 48, 40, "Output"] +Cell[36437, 1200, 529, 16, 46, "Input"], +Cell[36969, 1218, 1273, 48, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[38282, 1271, 89, 2, 27, "Input"], -Cell[38374, 1275, 2619, 114, 40, "Output"] +Cell[38279, 1271, 89, 2, 27, "Input"], +Cell[38371, 1275, 2619, 114, 40, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[41042, 1395, 105, 2, 9, "ExampleDelimiter"], -Cell[41150, 1399, 648, 15, 83, "Notes"], +Cell[41039, 1395, 105, 2, 9, "ExampleDelimiter"], +Cell[41147, 1399, 648, 15, 83, "Notes"], Cell[CellGroupData[{ -Cell[41823, 1418, 353, 9, 27, "Input"], -Cell[42179, 1429, 1587, 63, 43, "Output"] +Cell[41820, 1418, 353, 9, 27, "Input"], +Cell[42176, 1429, 1587, 63, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[43803, 1497, 89, 2, 27, "Input"], -Cell[43895, 1501, 4589, 83, 98, "Output", +Cell[43800, 1497, 89, 2, 27, "Input"], +Cell[43892, 1501, 4588, 83, 98, "Output", CellTags->"RasterizedOutput", - CellID->1815562078] + CellID->249793213] }, Open ]], Cell[CellGroupData[{ -Cell[48521, 1589, 353, 9, 27, "Input"], -Cell[48877, 1600, 1587, 63, 43, "Output"] +Cell[48517, 1589, 353, 9, 27, "Input"], +Cell[48873, 1600, 1587, 63, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[50501, 1668, 89, 2, 27, "Input"], -Cell[50593, 1672, 7455, 130, 139, "Output", +Cell[50497, 1668, 89, 2, 27, "Input"], +Cell[50589, 1672, 7455, 130, 139, "Output", CellTags->"RasterizedOutput", - CellID->492128281] + CellID->715016264] }, Open ]], -Cell[58063, 1805, 318, 7, 66, "Notes"], -Cell[58384, 1814, 128, 4, 27, "Input"], +Cell[58059, 1805, 318, 7, 66, "Notes"], +Cell[58380, 1814, 128, 4, 27, "Input"], Cell[CellGroupData[{ -Cell[58537, 1822, 400, 10, 27, "Input"], -Cell[58940, 1834, 22682, 380, 472, "Output", +Cell[58533, 1822, 400, 10, 27, "Input"], +Cell[58936, 1834, 22681, 380, 472, "Output", CellTags->"RasterizedOutput", - CellID->1606718833] + CellID->253055425] }, Open ]], -Cell[81637, 2217, 908, 20, 117, "Notes"] +Cell[81632, 2217, 908, 20, 117, "Notes"] }, Open ]], Cell[CellGroupData[{ -Cell[82582, 2242, 105, 2, 9, "ExampleDelimiter"], -Cell[82690, 2246, 448, 11, 66, "Notes"], -Cell[83141, 2259, 127, 4, 27, "Input"], +Cell[82577, 2242, 105, 2, 9, "ExampleDelimiter"], +Cell[82685, 2246, 448, 11, 66, "Notes"], +Cell[83136, 2259, 127, 4, 27, "Input"], Cell[CellGroupData[{ -Cell[83293, 2267, 542, 16, 46, "Input"], -Cell[83838, 2285, 1439, 54, 40, "Output"] +Cell[83288, 2267, 542, 16, 46, "Input"], +Cell[83833, 2285, 1439, 54, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[85314, 2344, 89, 2, 27, "Input"], -Cell[85406, 2348, 1005, 17, 193, "Message"], -Cell[86414, 2367, 173, 5, 35, "Output"] +Cell[85309, 2344, 89, 2, 27, "Input"], +Cell[85401, 2348, 1005, 17, 193, "Message"], +Cell[86409, 2367, 173, 5, 35, "Output"] }, Open ]], -Cell[86602, 2375, 128, 4, 27, "Input"], +Cell[86597, 2375, 128, 4, 27, "Input"], Cell[CellGroupData[{ -Cell[86755, 2383, 569, 16, 46, "Input"], -Cell[87327, 2401, 2931, 125, 40, "Output"] +Cell[86750, 2383, 569, 16, 46, "Input"], +Cell[87322, 2401, 2931, 125, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[90295, 2531, 110, 3, 27, "Input"], -Cell[90408, 2536, 1153, 36, 70, "Output"] +Cell[90290, 2531, 110, 3, 27, "Input"], +Cell[90403, 2536, 1153, 36, 70, "Output"] }, Open ]], -Cell[91576, 2575, 127, 4, 27, "Input"], -Cell[91706, 2581, 190, 6, 32, "Notes"] +Cell[91571, 2575, 127, 4, 27, "Input"], +Cell[91701, 2581, 190, 6, 32, "Notes"] }, Open ]], Cell[CellGroupData[{ -Cell[91933, 2592, 105, 2, 9, "ExampleDelimiter"], -Cell[92041, 2596, 448, 13, 49, "Notes"], -Cell[92492, 2611, 128, 4, 27, "Input"], +Cell[91928, 2592, 105, 2, 9, "ExampleDelimiter"], +Cell[92036, 2596, 448, 13, 49, "Notes"], +Cell[92487, 2611, 128, 4, 27, "Input"], Cell[CellGroupData[{ -Cell[92645, 2619, 512, 14, 45, "Input"], -Cell[93160, 2635, 225, 7, 35, "Output"] +Cell[92640, 2619, 512, 14, 45, "Input"], +Cell[93155, 2635, 225, 7, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[93422, 2647, 588, 16, 45, "Input"], -Cell[94013, 2665, 224, 7, 35, "Output"] +Cell[93417, 2647, 588, 16, 45, "Input"], +Cell[94008, 2665, 224, 7, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[94274, 2677, 76, 2, 27, "Input"], -Cell[94353, 2681, 169, 5, 35, "Output"] +Cell[94269, 2677, 76, 2, 27, "Input"], +Cell[94348, 2681, 169, 5, 35, "Output"] }, Open ]], -Cell[94537, 2689, 127, 4, 27, "Input"], -Cell[94667, 2695, 109, 3, 27, "Input"] +Cell[94532, 2689, 127, 4, 27, "Input"], +Cell[94662, 2695, 109, 3, 27, "Input"] }, Open ]], Cell[CellGroupData[{ -Cell[94813, 2703, 105, 2, 9, "ExampleDelimiter"], -Cell[94921, 2707, 262, 8, 53, "ExampleText", +Cell[94808, 2703, 105, 2, 9, "ExampleDelimiter"], +Cell[94916, 2707, 265, 8, 53, "ExampleText", CellID->2003592022], -Cell[95186, 2717, 133, 4, 27, "Input"], +Cell[95184, 2717, 136, 4, 27, "Input"], Cell[CellGroupData[{ -Cell[95344, 2725, 400, 10, 27, "Input"], -Cell[95747, 2737, 4675, 85, 98, "Output", +Cell[95345, 2725, 400, 10, 27, "Input"], +Cell[95748, 2737, 4674, 85, 98, "Output", CellTags->"RasterizedOutput", - CellID->1753947186] + CellID->410432361] }, Open ]], Cell[100437, 2825, 127, 4, 27, "Input"] }, Open ]], @@ -3958,63 +3957,63 @@ Cell[101544, 2866, 166, 5, 35, "Output"] Cell[101725, 2874, 217, 5, 49, "Notes"], Cell[CellGroupData[{ Cell[101967, 2883, 744, 20, 62, "Input"], -Cell[102714, 2905, 3390, 64, 56, "Output", +Cell[102714, 2905, 3385, 64, 56, "Output", CellTags->"RasterizedOutput", - CellID->1422874292] + CellID->694955970] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[106153, 2975, 105, 2, 9, "ExampleDelimiter"], -Cell[106261, 2979, 149, 3, 49, "Notes"], +Cell[106148, 2975, 105, 2, 9, "ExampleDelimiter"], +Cell[106256, 2979, 149, 3, 49, "Notes"], Cell[CellGroupData[{ -Cell[106435, 2986, 86, 2, 27, "Input"], -Cell[106524, 2990, 229, 8, 37, "Output"] +Cell[106430, 2986, 86, 2, 27, "Input"], +Cell[106519, 2990, 229, 8, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[106790, 3003, 89, 2, 27, "Input"], -Cell[106882, 3007, 166, 5, 35, "Output"] +Cell[106785, 3003, 89, 2, 27, "Input"], +Cell[106877, 3007, 166, 5, 35, "Output"] }, Open ]], -Cell[107063, 3015, 244, 8, 32, "Notes"], +Cell[107058, 3015, 244, 8, 32, "Notes"], Cell[CellGroupData[{ -Cell[107332, 3027, 208, 5, 27, "Input"], -Cell[107543, 3034, 166, 5, 35, "Output"] +Cell[107327, 3027, 208, 5, 27, "Input"], +Cell[107538, 3034, 166, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[107746, 3044, 256, 7, 27, "Input"], -Cell[108005, 3053, 398, 16, 37, "Output"] +Cell[107741, 3044, 256, 7, 27, "Input"], +Cell[108000, 3053, 398, 16, 37, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[108452, 3075, 105, 2, 9, "ExampleDelimiter"], -Cell[108560, 3079, 312, 5, 66, "Notes"], +Cell[108447, 3075, 105, 2, 9, "ExampleDelimiter"], +Cell[108555, 3079, 312, 5, 66, "Notes"], Cell[CellGroupData[{ -Cell[108897, 3088, 161, 4, 27, "Input"], -Cell[109061, 3094, 1731, 69, 46, "Output"] +Cell[108892, 3088, 161, 4, 27, "Input"], +Cell[109056, 3094, 1731, 69, 46, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[110829, 3168, 89, 2, 27, "Input"], -Cell[110921, 3172, 2522, 105, 39, "Output"] +Cell[110824, 3168, 89, 2, 27, "Input"], +Cell[110916, 3172, 2522, 105, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[113480, 3282, 281, 8, 27, "Input"], -Cell[113764, 3292, 2830, 111, 46, "Output"] +Cell[113475, 3282, 281, 8, 27, "Input"], +Cell[113759, 3292, 2830, 111, 46, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[116631, 3408, 89, 2, 27, "Input"], -Cell[116723, 3412, 9326, 161, 101, "Output", +Cell[116626, 3408, 89, 2, 27, "Input"], +Cell[116718, 3412, 9327, 161, 101, "Output", CellTags->"RasterizedOutput", - CellID->104317204] + CellID->1583542038] }, Open ]] }, Open ]] }, Open ]], -Cell[126088, 3578, 31, 0, 29, "SectionFooterSpacer"] +Cell[126084, 3578, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[126156, 3583, 270, 12, 31, "SeeAlsoSection", +Cell[126152, 3583, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[126429, 3597, 1272, 43, 71, "SeeAlso"] +Cell[126425, 3597, 1272, 43, 71, "SeeAlso"] }, Open ]], -Cell[127716, 3643, 23, 0, 41, "FooterCell"] +Cell[127712, 3643, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTraceEvaluate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTraceEvaluate.nb index 9aa7ba3fa..4a06098e3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTraceEvaluate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTraceEvaluate.nb @@ -81,7 +81,7 @@ DiracTraceEvaluate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$71543], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$71661], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracTraceEvaluate", ".html"]], None}]}]}, @@ -228,7 +228,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 48.253267}", + "built" -> "{2020, 6, 20, 19, 4, 13.512707}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrick.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrick.nb index 9e667faaf..8f266b4e4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrick.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DiracTrick.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23155, 844] -NotebookOptionsPosition[ 18871, 711] -NotebookOutlinePosition[ 20942, 767] -CellTagsIndexPosition[ 20857, 762] +NotebookDataLength[ 23151, 844] +NotebookOptionsPosition[ 18870, 711] +NotebookOutlinePosition[ 20940, 767] +CellTagsIndexPosition[ 20855, 762] WindowTitle->DiracTrick WindowFrame->Normal*) @@ -90,7 +90,7 @@ DiracTrick.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$72602], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$72720], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DiracTrick", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1180716899], + CellID->1747268263], Cell["", "SectionHeaderSpacer"], @@ -215,7 +215,7 @@ Cell[BoxData[ RowBox[{"InsideDiracTrace", "\[Rule]", "False"}], ",", RowBox[{"ToDiracGamma67", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{455, 53}, + ImageSize->{455, 54}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[19]="] @@ -240,7 +240,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2071800525], + CellID->682035013], Cell[CellGroupData[{ @@ -250,7 +250,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1218749787], + CellID->1511254107], Cell[TextData[{ "When applied to chains of Dirac matrices that do not require noncommutative \ @@ -711,8 +711,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DiracTrick", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -724,7 +724,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 51.298592}", + "built" -> "{2020, 6, 20, 19, 4, 16.135682}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -754,14 +754,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7572, 227, 388, 15, 31, "PrimaryExamplesSection", + Cell[7572, 227, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2071800525]} + CellID->682035013]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 20713, 755} + {"PrimaryExamplesSection", 20712, 755} } *) (*NotebookFileOutline @@ -775,77 +775,77 @@ Cell[4526, 123, 436, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4987, 139, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1180716899], -Cell[5729, 165, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5763, 167, 312, 8, 70, "Notes"], -Cell[6078, 177, 599, 18, 70, "Notes"], + CellID->1747268263], +Cell[5729, 165, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5763, 167, 312, 8, 49, "Notes"], +Cell[6078, 177, 599, 18, 65, "Notes"], Cell[CellGroupData[{ -Cell[6702, 199, 93, 2, 70, "Input"], -Cell[6798, 203, 713, 17, 74, "Output"] +Cell[6702, 199, 93, 2, 27, "Input"], +Cell[6798, 203, 713, 17, 75, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7572, 227, 388, 15, 31, "PrimaryExamplesSection", +Cell[7572, 227, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2071800525], + CellID->682035013], Cell[CellGroupData[{ -Cell[7985, 246, 196, 6, 26, "ExampleSection", - CellID->1218749787], -Cell[8184, 254, 531, 14, 66, "Notes"], +Cell[7984, 246, 196, 6, 26, "ExampleSection", + CellID->1511254107], +Cell[8183, 254, 531, 14, 66, "Notes"], Cell[CellGroupData[{ -Cell[8740, 272, 123, 3, 27, "Input"], -Cell[8866, 277, 724, 30, 37, "Output"] +Cell[8739, 272, 123, 3, 27, "Input"], +Cell[8865, 277, 724, 30, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9627, 312, 86, 2, 27, "Input"], -Cell[9716, 316, 343, 13, 37, "Output"] +Cell[9626, 312, 86, 2, 27, "Input"], +Cell[9715, 316, 343, 13, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10096, 334, 130, 4, 27, "Input"], -Cell[10229, 340, 676, 26, 37, "Output"] +Cell[10095, 334, 130, 4, 27, "Input"], +Cell[10228, 340, 676, 26, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10942, 371, 86, 2, 27, "Input"], -Cell[11031, 375, 287, 11, 39, "Output"] +Cell[10941, 371, 86, 2, 27, "Input"], +Cell[11030, 375, 287, 11, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11355, 391, 119, 3, 27, "Input"], -Cell[11477, 396, 680, 28, 40, "Output"] +Cell[11354, 391, 119, 3, 27, "Input"], +Cell[11476, 396, 680, 28, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12194, 429, 86, 2, 70, "Input"], -Cell[12283, 433, 562, 22, 40, "Output"] +Cell[12193, 429, 86, 2, 27, "Input"], +Cell[12282, 433, 562, 22, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12882, 460, 556, 21, 70, "Input"], -Cell[13441, 483, 1216, 45, 67, "Output"] +Cell[12881, 460, 556, 21, 27, "Input"], +Cell[13440, 483, 1216, 45, 67, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[14694, 533, 86, 2, 70, "Input"], -Cell[14783, 537, 720, 26, 59, "Output"] +Cell[14693, 533, 86, 2, 27, "Input"], +Cell[14782, 537, 720, 26, 59, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[15540, 568, 105, 2, 70, "ExampleDelimiter"], -Cell[15648, 572, 189, 6, 70, "Notes"], +Cell[15539, 568, 105, 2, 9, "ExampleDelimiter"], +Cell[15647, 572, 189, 6, 32, "Notes"], Cell[CellGroupData[{ -Cell[15862, 582, 148, 4, 70, "Input"], -Cell[16013, 588, 580, 23, 40, "Output"] +Cell[15861, 582, 148, 4, 27, "Input"], +Cell[16012, 588, 580, 23, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16630, 616, 86, 2, 70, "Input"], -Cell[16719, 620, 494, 19, 40, "Output"] +Cell[16629, 616, 86, 2, 27, "Input"], +Cell[16718, 620, 494, 19, 40, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[17252, 644, 31, 0, 70, "SectionFooterSpacer"] +Cell[17251, 644, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[17320, 649, 270, 12, 70, "SeeAlsoSection", +Cell[17319, 649, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[17593, 663, 1236, 43, 70, "SeeAlso"] +Cell[17592, 663, 1236, 43, 71, "SeeAlso"] }, Open ]], -Cell[18844, 709, 23, 0, 70, "FooterCell"] +Cell[18843, 709, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Divideout.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Divideout.nb index 0bf099435..fc91e8d4b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Divideout.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Divideout.nb @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$73058], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$73176], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Divideout", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 52.468372}", + "built" -> "{2020, 6, 20, 19, 4, 17.330911}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DoPolarizationSums.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DoPolarizationSums.nb index ef8406e5a..d93e558ba 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DoPolarizationSums.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DoPolarizationSums.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 78051, 2634] -NotebookOptionsPosition[ 72645, 2478] -NotebookOutlinePosition[ 75273, 2541] -CellTagsIndexPosition[ 75187, 2536] +NotebookDataLength[ 78478, 2643] +NotebookOptionsPosition[ 73094, 2487] +NotebookOutlinePosition[ 75663, 2549] +CellTagsIndexPosition[ 75577, 2544] WindowTitle->DoPolarizationSums WindowFrame->Normal*) @@ -81,7 +81,7 @@ DoPolarizationSums.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$73556], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$73676], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DoPolarizationSums", ".html"]], None}]}]}, @@ -184,7 +184,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->852417175], + CellID->515142955], Cell["", "SectionHeaderSpacer"], @@ -231,7 +231,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2097904239], + CellID->95617754], Cell[CellGroupData[{ @@ -241,7 +241,7 @@ Cell[TextData[{ Cell["(5)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1260285186], + CellID->1253010737], Cell["\<\ The standard formula for massless vector bosons is valid for all types of the \ @@ -540,7 +540,16 @@ Cell[BoxData[ ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[3]="] -}, Open ]] +}, Open ]], + +Cell["\<\ +You can also use this trick in QCD, provided that unphysical degress of \ +freedom are subtracted using ghosts at a later stage. Notice that in this \ +case you should not make the polarization vectors transverse using the \ +Transversality option. Furthermore, the averaging over the polarizations of \ +the initial gluons must done on the physical amplitude squared, i.e. after \ +the ghost contributions have been subtracted.\ +\>", "Notes"] }, Open ]], Cell[CellGroupData[{ @@ -2491,7 +2500,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 53.810851}", + "built" -> "{2020, 6, 20, 19, 4, 18.296011}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -2517,8 +2526,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -2528,14 +2536,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7255, 218, 388, 15, 31, "PrimaryExamplesSection", + Cell[7255, 218, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2097904239]} + CellID->95617754]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 75043, 2529} + {"PrimaryExamplesSection", 75435, 2537} } *) (*NotebookFileOutline @@ -2549,93 +2557,94 @@ Cell[4063, 114, 1627, 44, 245, "Usage", Cell[CellGroupData[{ Cell[5715, 162, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->852417175], -Cell[6456, 188, 31, 0, 70, "SectionHeaderSpacer"], + CellID->515142955], +Cell[6456, 188, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[6512, 192, 101, 2, 70, "Input"], +Cell[6512, 192, 101, 2, 27, "Input"], Cell[6616, 196, 578, 15, 56, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7255, 218, 388, 15, 31, "PrimaryExamplesSection", +Cell[7255, 218, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2097904239], + CellID->95617754], Cell[CellGroupData[{ -Cell[7668, 237, 196, 6, 26, "ExampleSection", - CellID->1260285186], -Cell[7867, 245, 147, 3, 49, "Notes"], -Cell[8017, 250, 192, 5, 45, "Input"], +Cell[7666, 237, 196, 6, 26, "ExampleSection", + CellID->1253010737], +Cell[7865, 245, 147, 3, 49, "Notes"], +Cell[8015, 250, 192, 5, 45, "Input"], Cell[CellGroupData[{ -Cell[8234, 259, 531, 15, 45, "Input"], -Cell[8768, 276, 644, 25, 37, "Output"] +Cell[8232, 259, 531, 15, 45, "Input"], +Cell[8766, 276, 644, 25, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9449, 306, 127, 3, 27, "Input"], -Cell[9579, 311, 3267, 137, 64, "Output"] +Cell[9447, 306, 127, 3, 27, "Input"], +Cell[9577, 311, 3267, 137, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12883, 453, 105, 2, 9, "ExampleDelimiter"], -Cell[12991, 457, 197, 4, 49, "Notes"], -Cell[13191, 463, 192, 5, 45, "Input"], +Cell[12881, 453, 105, 2, 9, "ExampleDelimiter"], +Cell[12989, 457, 197, 4, 49, "Notes"], +Cell[13189, 463, 192, 5, 45, "Input"], Cell[CellGroupData[{ -Cell[13408, 472, 531, 15, 45, "Input"], -Cell[13942, 489, 644, 25, 37, "Output"] +Cell[13406, 472, 531, 15, 45, "Input"], +Cell[13940, 489, 644, 25, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[14623, 519, 127, 3, 27, "Input"], -Cell[14753, 524, 418, 17, 37, "Output"] -}, Open ]] +Cell[14621, 519, 127, 3, 27, "Input"], +Cell[14751, 524, 418, 17, 37, "Output"] +}, Open ]], +Cell[15184, 544, 448, 7, 99, "Notes"] }, Open ]], Cell[CellGroupData[{ -Cell[15220, 547, 105, 2, 9, "ExampleDelimiter"], -Cell[15328, 551, 121, 3, 32, "Notes"], -Cell[15452, 556, 216, 6, 45, "Input"], +Cell[15669, 556, 105, 2, 9, "ExampleDelimiter"], +Cell[15777, 560, 121, 3, 32, "Notes"], +Cell[15901, 565, 216, 6, 45, "Input"], Cell[CellGroupData[{ -Cell[15693, 566, 531, 15, 45, "Input"], -Cell[16227, 583, 644, 25, 37, "Output"] +Cell[16142, 575, 531, 15, 45, "Input"], +Cell[16676, 592, 644, 25, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16908, 613, 117, 3, 27, "Input"], -Cell[17028, 618, 947, 40, 60, "Output"] +Cell[17357, 622, 117, 3, 27, "Input"], +Cell[17477, 627, 947, 40, 60, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[18024, 664, 105, 2, 9, "ExampleDelimiter"], -Cell[18132, 668, 272, 9, 32, "Notes"], -Cell[18407, 679, 424, 12, 79, "Input"], +Cell[18473, 673, 105, 2, 9, "ExampleDelimiter"], +Cell[18581, 677, 272, 9, 32, "Notes"], +Cell[18856, 688, 424, 12, 79, "Input"], Cell[CellGroupData[{ -Cell[18856, 695, 4226, 122, 283, "Input"], -Cell[23085, 819, 9058, 293, 232, "Output"] +Cell[19305, 704, 4226, 122, 283, "Input"], +Cell[23534, 828, 9058, 293, 232, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[32180, 1117, 300, 9, 27, "Input"], -Cell[32483, 1128, 14021, 490, 287, "Output"] +Cell[32629, 1126, 300, 9, 27, "Input"], +Cell[32932, 1137, 14021, 490, 287, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[46553, 1624, 105, 2, 9, "ExampleDelimiter"], -Cell[46661, 1628, 626, 13, 89, "Notes"], -Cell[47290, 1643, 161, 4, 32, "Notes"], -Cell[47454, 1649, 424, 12, 79, "Input"], +Cell[47002, 1633, 105, 2, 9, "ExampleDelimiter"], +Cell[47110, 1637, 626, 13, 89, "Notes"], +Cell[47739, 1652, 161, 4, 32, "Notes"], +Cell[47903, 1658, 424, 12, 79, "Input"], Cell[CellGroupData[{ -Cell[47903, 1665, 4616, 123, 345, "Input"], -Cell[52522, 1790, 9176, 312, 163, "Output"] +Cell[48352, 1674, 4616, 123, 345, "Input"], +Cell[52971, 1799, 9176, 312, 163, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[61735, 2107, 517, 15, 45, "Input"], -Cell[62255, 2124, 9601, 312, 162, "Output"] +Cell[62184, 2116, 517, 15, 45, "Input"], +Cell[62704, 2133, 9601, 312, 162, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[71895, 2441, 31, 0, 29, "SectionFooterSpacer"] +Cell[72344, 2450, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[71963, 2446, 270, 12, 31, "SeeAlsoSection", +Cell[72412, 2455, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[72236, 2460, 367, 13, 56, "SeeAlso"] +Cell[72685, 2469, 367, 13, 56, "SeeAlso"] }, Open ]], -Cell[72618, 2476, 23, 0, 41, "FooterCell"] +Cell[73067, 2485, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotExpand.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotExpand.nb index e93d5144e..7ae5e525a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotExpand.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotExpand.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14832, 507] -NotebookOptionsPosition[ 10662, 375] -NotebookOutlinePosition[ 13346, 452] -CellTagsIndexPosition[ 13233, 446] +NotebookDataLength[ 14837, 507] +NotebookOptionsPosition[ 10664, 375] +NotebookOutlinePosition[ 13349, 452] +CellTagsIndexPosition[ 13236, 446] WindowTitle->DotExpand WindowFrame->Normal*) @@ -85,7 +85,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$74024], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$74144], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DotExpand", ".html"]], None}]}]}, @@ -146,7 +146,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->173805481], + CellID->1466508067], Cell[CellGroupData[{ @@ -156,7 +156,7 @@ Cell[TextData[{ Cell["(3)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->404488661], + CellID->2035428826], Cell[CellGroupData[{ @@ -388,7 +388,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 55.545277}", + "built" -> "{2020, 6, 20, 19, 4, 19.727000}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -416,37 +416,37 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4646, 133, 387, 15, 31, "PrimaryExamplesSection", + Cell[4646, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->173805481]}, + CellID->1466508067]}, "DotExpand"->{ - Cell[5949, 190, 129, 4, 27, "Input", + Cell[5951, 190, 129, 4, 27, "Input", CellTags->"DotExpand", CellID->407288908], - Cell[6081, 196, 590, 16, 37, "Output", + Cell[6083, 196, 590, 16, 37, "Output", CellTags->"DotExpand"], - Cell[6816, 221, 248, 8, 27, "Input", + Cell[6818, 221, 248, 8, 27, "Input", CellTags->"DotExpand", CellID->1021626920], - Cell[7089, 233, 331, 11, 27, "Input", + Cell[7091, 233, 331, 11, 27, "Input", CellTags->"DotExpand", CellID->587871772], - Cell[7423, 246, 725, 25, 37, "Output", + Cell[7425, 246, 725, 25, 37, "Output", CellTags->"DotExpand"], - Cell[8163, 274, 250, 8, 27, "Input", + Cell[8165, 274, 250, 8, 27, "Input", CellTags->"DotExpand", CellID->1926968700], - Cell[8580, 293, 332, 11, 27, "Input", + Cell[8582, 293, 332, 11, 27, "Input", CellTags->"DotExpand", CellID->1551070412], - Cell[8915, 306, 590, 16, 37, "Output", + Cell[8917, 306, 590, 16, 37, "Output", CellTags->"DotExpand"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12424, 417}, - {"DotExpand", 12560, 421} + {"PrimaryExamplesSection", 12426, 417}, + {"DotExpand", 12563, 421} } *) (*NotebookFileOutline @@ -457,58 +457,58 @@ Cell[3917, 103, 286, 11, 45, "ObjectNameGrid"], Cell[4206, 116, 415, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4646, 133, 387, 15, 31, "PrimaryExamplesSection", +Cell[4646, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->173805481], + CellID->1466508067], Cell[CellGroupData[{ -Cell[5058, 152, 195, 6, 26, "ExampleSection", - CellID->404488661], +Cell[5059, 152, 196, 6, 26, "ExampleSection", + CellID->2035428826], Cell[CellGroupData[{ -Cell[5278, 162, 245, 8, 27, "Input"], -Cell[5526, 172, 386, 13, 37, "Output"] +Cell[5280, 162, 245, 8, 27, "Input"], +Cell[5528, 172, 386, 13, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[5949, 190, 129, 4, 27, "Input", +Cell[5951, 190, 129, 4, 27, "Input", CellTags->"DotExpand", CellID->407288908], -Cell[6081, 196, 590, 16, 37, "Output", +Cell[6083, 196, 590, 16, 37, "Output", CellTags->"DotExpand"] }, Open ]], Cell[CellGroupData[{ -Cell[6708, 217, 105, 2, 9, "ExampleDelimiter"], -Cell[6816, 221, 248, 8, 27, "Input", +Cell[6710, 217, 105, 2, 9, "ExampleDelimiter"], +Cell[6818, 221, 248, 8, 27, "Input", CellTags->"DotExpand", CellID->1021626920], Cell[CellGroupData[{ -Cell[7089, 233, 331, 11, 27, "Input", +Cell[7091, 233, 331, 11, 27, "Input", CellTags->"DotExpand", CellID->587871772], -Cell[7423, 246, 725, 25, 37, "Output", +Cell[7425, 246, 725, 25, 37, "Output", CellTags->"DotExpand"] }, Open ]], -Cell[8163, 274, 250, 8, 27, "Input", +Cell[8165, 274, 250, 8, 27, "Input", CellTags->"DotExpand", CellID->1926968700] }, Open ]], Cell[CellGroupData[{ -Cell[8450, 287, 105, 2, 9, "ExampleDelimiter"], +Cell[8452, 287, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[8580, 293, 332, 11, 27, "Input", +Cell[8582, 293, 332, 11, 27, "Input", CellTags->"DotExpand", CellID->1551070412], -Cell[8915, 306, 590, 16, 37, "Output", +Cell[8917, 306, 590, 16, 37, "Output", CellTags->"DotExpand"] }, Open ]] }, Open ]] }, Open ]], -Cell[9544, 327, 31, 0, 29, "SectionFooterSpacer"] +Cell[9546, 327, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9612, 332, 270, 12, 31, "SeeAlsoSection", +Cell[9614, 332, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9885, 346, 735, 24, 56, "SeeAlso"] +Cell[9887, 346, 735, 24, 56, "SeeAlso"] }, Open ]], -Cell[10635, 373, 23, 0, 70, "FooterCell"] +Cell[10637, 373, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotPower.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotPower.nb index 13813cbaf..e1806e866 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotPower.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotPower.nb @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$74916], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$75036], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DotPower", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 57.838107}", + "built" -> "{2020, 6, 20, 19, 4, 21.888518}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotSimplify.nb index 5b6440c85..7e7605fb1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 26459, 974] -NotebookOptionsPosition[ 18195, 704] -NotebookOutlinePosition[ 22677, 836] -CellTagsIndexPosition[ 22562, 830] +NotebookDataLength[ 26464, 974] +NotebookOptionsPosition[ 18197, 704] +NotebookOutlinePosition[ 22680, 836] +CellTagsIndexPosition[ 22565, 830] WindowTitle->DotSimplify WindowFrame->Normal*) @@ -83,7 +83,7 @@ DotSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$75380], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$75500], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DotSimplify", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->378040460], + CellID->1698341768], Cell["", "SectionHeaderSpacer"], @@ -238,7 +238,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->946627194], + CellID->1467972019], Cell[CellGroupData[{ @@ -248,7 +248,7 @@ Cell[TextData[{ Cell["(3)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->439360994], + CellID->887522346], Cell[CellGroupData[{ @@ -705,7 +705,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"DotSimplify", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -717,7 +717,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 54, 58.852219}", + "built" -> "{2020, 6, 20, 19, 4, 22.770605}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -746,91 +746,91 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "DotSimplify"->{ - Cell[6176, 193, 142, 4, 70, "Input", + Cell[6177, 193, 142, 4, 70, "Input", CellTags->"DotSimplify", CellID->1331874134], - Cell[6321, 199, 762, 19, 75, "Output", + Cell[6322, 199, 762, 19, 75, "Output", CellTags->"DotSimplify"], - Cell[7776, 254, 330, 11, 27, "Input", + Cell[7778, 254, 330, 11, 27, "Input", CellTags->"DotSimplify", CellID->1782604794], - Cell[8109, 267, 1116, 44, 37, "Output", + Cell[8111, 267, 1116, 44, 37, "Output", CellTags->"DotSimplify"], - Cell[9262, 316, 134, 4, 27, "Input", + Cell[9264, 316, 134, 4, 27, "Input", CellTags->"DotSimplify", CellID->1204340698], - Cell[9399, 322, 1309, 50, 37, "Output", + Cell[9401, 322, 1309, 50, 37, "Output", CellTags->"DotSimplify"], - Cell[10853, 381, 176, 5, 27, "Input", + Cell[10855, 381, 176, 5, 27, "Input", CellTags->"DotSimplify", CellID->194491386], - Cell[11054, 390, 201, 7, 27, "Input", + Cell[11056, 390, 201, 7, 27, "Input", CellTags->"DotSimplify", CellID->2117662767], - Cell[11258, 399, 302, 11, 37, "Output", + Cell[11260, 399, 302, 11, 37, "Output", CellTags->"DotSimplify"], - Cell[11597, 415, 134, 4, 27, "Input", + Cell[11599, 415, 134, 4, 27, "Input", CellTags->"DotSimplify", CellID->1117578635], - Cell[11734, 421, 309, 10, 35, "Output", + Cell[11736, 421, 309, 10, 35, "Output", CellTags->"DotSimplify"], - Cell[12080, 436, 180, 6, 27, "Input", + Cell[12082, 436, 180, 6, 27, "Input", CellTags->"DotSimplify", CellID->1442809361], - Cell[12263, 444, 192, 6, 35, "Output", + Cell[12265, 444, 192, 6, 35, "Output", CellTags->"DotSimplify"], - Cell[12492, 455, 242, 8, 27, "Input", + Cell[12494, 455, 242, 8, 27, "Input", CellTags->"DotSimplify", CellID->1013643835], - Cell[12737, 465, 365, 13, 37, "Output", + Cell[12739, 465, 365, 13, 37, "Output", CellTags->"DotSimplify"], - Cell[13117, 481, 176, 6, 27, "Input", + Cell[13119, 481, 176, 6, 27, "Input", CellTags->"DotSimplify", CellID->1466952413], - Cell[13318, 491, 242, 8, 27, "Input", + Cell[13320, 491, 242, 8, 27, "Input", CellTags->"DotSimplify", CellID->1037294655], - Cell[13563, 501, 309, 10, 35, "Output", + Cell[13565, 501, 309, 10, 35, "Output", CellTags->"DotSimplify"], - Cell[13909, 516, 183, 6, 27, "Input", + Cell[13911, 516, 183, 6, 27, "Input", CellTags->"DotSimplify", CellID->579521038], - Cell[14095, 524, 192, 6, 35, "Output", + Cell[14097, 524, 192, 6, 35, "Output", CellTags->"DotSimplify"], - Cell[14324, 535, 241, 8, 27, "Input", + Cell[14326, 535, 241, 8, 27, "Input", CellTags->"DotSimplify", CellID->164431463], - Cell[14568, 545, 363, 12, 35, "Output", + Cell[14570, 545, 363, 12, 35, "Output", CellTags->"DotSimplify"], - Cell[14946, 560, 180, 6, 27, "Input", + Cell[14948, 560, 180, 6, 27, "Input", CellTags->"DotSimplify", CellID->216404314], - Cell[15151, 570, 430, 14, 27, "Input", + Cell[15153, 570, 430, 14, 27, "Input", CellTags->"DotSimplify", CellID->2011362420], - Cell[15584, 586, 252, 9, 35, "Output", + Cell[15586, 586, 252, 9, 35, "Output", CellTags->"DotSimplify"], - Cell[16129, 610, 144, 4, 27, "Input", + Cell[16131, 610, 144, 4, 27, "Input", CellTags->"DotSimplify", CellID->1063178346], - Cell[16657, 634, 231, 7, 27, "Input", + Cell[16659, 634, 231, 7, 27, "Input", CellTags->"DotSimplify", CellID->1173966576], - Cell[16891, 643, 216, 7, 37, "Output", + Cell[16893, 643, 216, 7, 37, "Output", CellTags->"DotSimplify"], - Cell[17122, 653, 146, 4, 27, "Input", + Cell[17124, 653, 146, 4, 27, "Input", CellTags->"DotSimplify", CellID->1813929769]}, "PrimaryExamplesSection"->{ - Cell[7144, 225, 387, 15, 31, "PrimaryExamplesSection", + Cell[7145, 225, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->946627194]} + CellID->1467972019]} } *) (*CellTagsIndex CellTagsIndex->{ - {"DotSimplify", 19983, 747}, - {"PrimaryExamplesSection", 22419, 823} + {"DotSimplify", 19985, 747}, + {"PrimaryExamplesSection", 22421, 823} } *) (*NotebookFileOutline @@ -842,140 +842,140 @@ Cell[CellGroupData[{ Cell[4109, 116, 439, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4573, 133, 738, 24, 31, "NotesSection", +Cell[4573, 133, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->378040460], -Cell[5314, 159, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5348, 161, 537, 17, 70, "Notes"], -Cell[5888, 180, 263, 9, 70, "Notes"], + CellID->1698341768], +Cell[5315, 159, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5349, 161, 537, 17, 70, "Notes"], +Cell[5889, 180, 263, 9, 70, "Notes"], Cell[CellGroupData[{ -Cell[6176, 193, 142, 4, 70, "Input", +Cell[6177, 193, 142, 4, 70, "Input", CellTags->"DotSimplify", CellID->1331874134], -Cell[6321, 199, 762, 19, 75, "Output", +Cell[6322, 199, 762, 19, 75, "Output", CellTags->"DotSimplify"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7144, 225, 387, 15, 31, "PrimaryExamplesSection", +Cell[7145, 225, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->946627194], + CellID->1467972019], Cell[CellGroupData[{ -Cell[7556, 244, 195, 6, 26, "ExampleSection", - CellID->439360994], +Cell[7558, 244, 195, 6, 26, "ExampleSection", + CellID->887522346], Cell[CellGroupData[{ -Cell[7776, 254, 330, 11, 27, "Input", +Cell[7778, 254, 330, 11, 27, "Input", CellTags->"DotSimplify", CellID->1782604794], -Cell[8109, 267, 1116, 44, 37, "Output", +Cell[8111, 267, 1116, 44, 37, "Output", CellTags->"DotSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[9262, 316, 134, 4, 27, "Input", +Cell[9264, 316, 134, 4, 27, "Input", CellTags->"DotSimplify", CellID->1204340698], -Cell[9399, 322, 1309, 50, 37, "Output", +Cell[9401, 322, 1309, 50, 37, "Output", CellTags->"DotSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[10745, 377, 105, 2, 9, "ExampleDelimiter"], -Cell[10853, 381, 176, 5, 27, "Input", +Cell[10747, 377, 105, 2, 9, "ExampleDelimiter"], +Cell[10855, 381, 176, 5, 27, "Input", CellTags->"DotSimplify", CellID->194491386], Cell[CellGroupData[{ -Cell[11054, 390, 201, 7, 27, "Input", +Cell[11056, 390, 201, 7, 27, "Input", CellTags->"DotSimplify", CellID->2117662767], -Cell[11258, 399, 302, 11, 37, "Output", +Cell[11260, 399, 302, 11, 37, "Output", CellTags->"DotSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[11597, 415, 134, 4, 27, "Input", +Cell[11599, 415, 134, 4, 27, "Input", CellTags->"DotSimplify", CellID->1117578635], -Cell[11734, 421, 309, 10, 35, "Output", +Cell[11736, 421, 309, 10, 35, "Output", CellTags->"DotSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[12080, 436, 180, 6, 27, "Input", +Cell[12082, 436, 180, 6, 27, "Input", CellTags->"DotSimplify", CellID->1442809361], -Cell[12263, 444, 192, 6, 35, "Output", +Cell[12265, 444, 192, 6, 35, "Output", CellTags->"DotSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[12492, 455, 242, 8, 27, "Input", +Cell[12494, 455, 242, 8, 27, "Input", CellTags->"DotSimplify", CellID->1013643835], -Cell[12737, 465, 365, 13, 37, "Output", +Cell[12739, 465, 365, 13, 37, "Output", CellTags->"DotSimplify"] }, Open ]], -Cell[13117, 481, 176, 6, 27, "Input", +Cell[13119, 481, 176, 6, 27, "Input", CellTags->"DotSimplify", CellID->1466952413], Cell[CellGroupData[{ -Cell[13318, 491, 242, 8, 27, "Input", +Cell[13320, 491, 242, 8, 27, "Input", CellTags->"DotSimplify", CellID->1037294655], -Cell[13563, 501, 309, 10, 35, "Output", +Cell[13565, 501, 309, 10, 35, "Output", CellTags->"DotSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[13909, 516, 183, 6, 27, "Input", +Cell[13911, 516, 183, 6, 27, "Input", CellTags->"DotSimplify", CellID->579521038], -Cell[14095, 524, 192, 6, 35, "Output", +Cell[14097, 524, 192, 6, 35, "Output", CellTags->"DotSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[14324, 535, 241, 8, 27, "Input", +Cell[14326, 535, 241, 8, 27, "Input", CellTags->"DotSimplify", CellID->164431463], -Cell[14568, 545, 363, 12, 35, "Output", +Cell[14570, 545, 363, 12, 35, "Output", CellTags->"DotSimplify"] }, Open ]], -Cell[14946, 560, 180, 6, 27, "Input", +Cell[14948, 560, 180, 6, 27, "Input", CellTags->"DotSimplify", CellID->216404314], Cell[CellGroupData[{ -Cell[15151, 570, 430, 14, 27, "Input", +Cell[15153, 570, 430, 14, 27, "Input", CellTags->"DotSimplify", CellID->2011362420], -Cell[15584, 586, 252, 9, 35, "Output", +Cell[15586, 586, 252, 9, 35, "Output", CellTags->"DotSimplify"] }, Open ]], -Cell[15851, 598, 133, 3, 27, "Input"] +Cell[15853, 598, 133, 3, 27, "Input"] }, Open ]], Cell[CellGroupData[{ -Cell[16021, 606, 105, 2, 9, "ExampleDelimiter"], -Cell[16129, 610, 144, 4, 27, "Input", +Cell[16023, 606, 105, 2, 9, "ExampleDelimiter"], +Cell[16131, 610, 144, 4, 27, "Input", CellTags->"DotSimplify", CellID->1063178346], Cell[CellGroupData[{ -Cell[16298, 618, 120, 3, 27, "Input"], -Cell[16421, 623, 199, 6, 35, "Output"] +Cell[16300, 618, 120, 3, 27, "Input"], +Cell[16423, 623, 199, 6, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16657, 634, 231, 7, 27, "Input", +Cell[16659, 634, 231, 7, 27, "Input", CellTags->"DotSimplify", CellID->1173966576], -Cell[16891, 643, 216, 7, 37, "Output", +Cell[16893, 643, 216, 7, 37, "Output", CellTags->"DotSimplify"] }, Open ]], -Cell[17122, 653, 146, 4, 27, "Input", +Cell[17124, 653, 146, 4, 27, "Input", CellTags->"DotSimplify", CellID->1813929769] }, Open ]] }, Open ]], -Cell[17295, 661, 31, 0, 29, "SectionFooterSpacer"] +Cell[17297, 661, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[17363, 666, 270, 12, 31, "SeeAlsoSection", +Cell[17365, 666, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[17636, 680, 517, 19, 56, "SeeAlso"] +Cell[17638, 680, 517, 19, 56, "SeeAlso"] }, Open ]], -Cell[18168, 702, 23, 0, 41, "FooterCell"] +Cell[18170, 702, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotSimplifyRelations.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotSimplifyRelations.nb index 404fb3af4..c4c676f56 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotSimplifyRelations.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DotSimplifyRelations.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7115, 211] +NotebookDataLength[ 7116, 211] NotebookOptionsPosition[ 4971, 153] -NotebookOutlinePosition[ 6908, 203] -CellTagsIndexPosition[ 6865, 200] +NotebookOutlinePosition[ 6909, 203] +CellTagsIndexPosition[ 6866, 200] WindowTitle->DotSimplifyRelations WindowFrame->Normal*) @@ -79,7 +79,7 @@ DotSimplifyRelations.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$75837], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$75957], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DotSimplifyRelations", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 0.360744}", + "built" -> "{2020, 6, 20, 19, 4, 23.923212}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DummyIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DummyIndex.nb index d1e9dda99..a8bfa1a1f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DummyIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DummyIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6945, 209] +NotebookDataLength[ 6946, 209] NotebookOptionsPosition[ 4866, 152] -NotebookOutlinePosition[ 6738, 201] -CellTagsIndexPosition[ 6695, 198] +NotebookOutlinePosition[ 6739, 201] +CellTagsIndexPosition[ 6696, 198] WindowTitle->DummyIndex WindowFrame->Normal*) @@ -79,7 +79,7 @@ DummyIndex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$76723], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$76843], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DummyIndex", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 2.515508}", + "built" -> "{2020, 6, 20, 19, 4, 25.840669}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DummyIndexFreeQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DummyIndexFreeQ.nb index 129000ce8..6b044a428 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/DummyIndexFreeQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/DummyIndexFreeQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15197, 550] -NotebookOptionsPosition[ 11089, 423] -NotebookOutlinePosition[ 13453, 483] -CellTagsIndexPosition[ 13368, 478] +NotebookDataLength[ 15136, 549] +NotebookOptionsPosition[ 11088, 423] +NotebookOutlinePosition[ 13393, 482] +CellTagsIndexPosition[ 13308, 477] WindowTitle->DummyIndexFreeQ WindowFrame->Normal*) @@ -83,7 +83,7 @@ DummyIndexFreeQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$76281], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$76401], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/DummyIndexFreeQ", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1113296288], + CellID->504049926], Cell[CellGroupData[{ @@ -160,7 +160,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->124185007], + CellID->706348310], Cell[CellGroupData[{ @@ -424,7 +424,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 31}}, WindowTitle->"DummyIndexFreeQ", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -436,7 +436,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 1.266969}", + "built" -> "{2020, 6, 20, 19, 4, 24.741871}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -459,8 +459,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -470,14 +469,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4910, 137, 388, 15, 31, "PrimaryExamplesSection", + Cell[4910, 137, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1113296288]} + CellID->504049926]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13224, 471} + {"PrimaryExamplesSection", 13165, 470} } *) (*NotebookFileOutline @@ -488,70 +487,70 @@ Cell[3844, 101, 292, 11, 45, "ObjectNameGrid"], Cell[4139, 114, 746, 19, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4910, 137, 388, 15, 31, "PrimaryExamplesSection", +Cell[4910, 137, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1113296288], + CellID->504049926], Cell[CellGroupData[{ -Cell[5323, 156, 195, 6, 26, "ExampleSection", - CellID->124185007], +Cell[5322, 156, 195, 6, 26, "ExampleSection", + CellID->706348310], Cell[CellGroupData[{ -Cell[5543, 166, 240, 8, 27, "Input", +Cell[5542, 166, 240, 8, 27, "Input", CellID->953326827], -Cell[5786, 176, 620, 27, 37, "Output", +Cell[5785, 176, 620, 27, 37, "Output", CellID->1392220727] }, Open ]], Cell[CellGroupData[{ -Cell[6443, 208, 170, 5, 27, "Input", +Cell[6442, 208, 170, 5, 27, "Input", CellID->1482247787], -Cell[6616, 215, 189, 6, 35, "Output", +Cell[6615, 215, 189, 6, 35, "Output", CellID->600599141] }, Open ]], Cell[CellGroupData[{ -Cell[6842, 226, 240, 8, 27, "Input", +Cell[6841, 226, 240, 8, 27, "Input", CellID->950756213], -Cell[7085, 236, 619, 27, 37, "Output", +Cell[7084, 236, 619, 27, 37, "Output", CellID->600641716] }, Open ]], Cell[CellGroupData[{ -Cell[7741, 268, 170, 5, 27, "Input", +Cell[7740, 268, 170, 5, 27, "Input", CellID->1892034700], -Cell[7914, 275, 190, 6, 35, "Output", +Cell[7913, 275, 190, 6, 35, "Output", CellID->494121601] }, Open ]], Cell[CellGroupData[{ -Cell[8141, 286, 155, 5, 27, "Input", +Cell[8140, 286, 155, 5, 27, "Input", CellID->1754662751], -Cell[8299, 293, 408, 17, 38, "Output", +Cell[8298, 293, 408, 17, 38, "Output", CellID->1021516466] }, Open ]], Cell[CellGroupData[{ -Cell[8744, 315, 166, 5, 27, "Input", +Cell[8743, 315, 166, 5, 27, "Input", CellID->1812674747], -Cell[8913, 322, 190, 6, 35, "Output", +Cell[8912, 322, 190, 6, 35, "Output", CellID->1193808511] }, Open ]], Cell[CellGroupData[{ -Cell[9140, 333, 154, 5, 27, "Input", +Cell[9139, 333, 154, 5, 27, "Input", CellID->785933249], -Cell[9297, 340, 407, 17, 35, "Output", +Cell[9296, 340, 407, 17, 35, "Output", CellID->424951304] }, Open ]], Cell[CellGroupData[{ -Cell[9741, 362, 165, 5, 27, "Input", +Cell[9740, 362, 165, 5, 27, "Input", CellID->293653821], -Cell[9909, 369, 190, 6, 35, "Output", +Cell[9908, 369, 190, 6, 35, "Output", CellID->424642719] }, Open ]] }, Open ]], -Cell[10126, 379, 31, 0, 29, "SectionFooterSpacer"] +Cell[10125, 379, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10194, 384, 270, 12, 31, "SeeAlsoSection", +Cell[10193, 384, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10467, 398, 580, 20, 56, "SeeAlso", +Cell[10466, 398, 580, 20, 56, "SeeAlso", CellID->1732330916] }, Open ]], -Cell[11062, 421, 23, 0, 41, "FooterCell"] +Cell[11061, 421, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Eps.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Eps.nb index 0d876627c..acb64e154 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Eps.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Eps.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 24642, 919] -NotebookOptionsPosition[ 18322, 705] -NotebookOutlinePosition[ 22164, 820] -CellTagsIndexPosition[ 22057, 814] +NotebookDataLength[ 24647, 919] +NotebookOptionsPosition[ 18324, 705] +NotebookOutlinePosition[ 22167, 820] +CellTagsIndexPosition[ 22060, 814] WindowTitle->Eps WindowFrame->Normal*) @@ -84,7 +84,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$81109], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$81229], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Eps", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->682619210], + CellID->2141488062], Cell[CellGroupData[{ @@ -162,7 +162,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->224916044], + CellID->1932390431], Cell[CellGroupData[{ @@ -718,7 +718,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 13.801835}", + "built" -> "{2020, 6, 20, 19, 4, 35.787317}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -740,7 +740,7 @@ StyleDefinitions->Notebook[{ StyleData["Input"], CellContext -> "Global`"], Cell[ StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -750,71 +750,71 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4837, 139, 387, 15, 31, "PrimaryExamplesSection", + Cell[4837, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->682619210]}, + CellID->2141488062]}, "Eps"->{ - Cell[5469, 168, 340, 9, 45, "Input", + Cell[5471, 168, 340, 9, 45, "Input", CellTags->"Eps", CellID->882253219], - Cell[5812, 179, 586, 25, 35, "Output", + Cell[5814, 179, 586, 25, 35, "Output", CellTags->"Eps"], - Cell[6435, 209, 333, 9, 27, "Input", + Cell[6437, 209, 333, 9, 27, "Input", CellTags->"Eps", CellID->1187356604], - Cell[6771, 220, 610, 26, 38, "Output", + Cell[6773, 220, 610, 26, 38, "Output", CellTags->"Eps"], - Cell[7418, 251, 200, 7, 27, "Input", + Cell[7420, 251, 200, 7, 27, "Input", CellTags->"Eps", CellID->2026742577], - Cell[7621, 260, 243, 7, 51, "Output", + Cell[7623, 260, 243, 7, 51, "Output", CellTags->"Eps"], - Cell[7901, 272, 353, 9, 45, "Input", + Cell[7903, 272, 353, 9, 45, "Input", CellTags->"Eps", CellID->1867659172], - Cell[8257, 283, 566, 25, 38, "Output", + Cell[8259, 283, 566, 25, 38, "Output", CellTags->"Eps"], - Cell[8860, 313, 339, 9, 45, "Input", + Cell[8862, 313, 339, 9, 45, "Input", CellTags->"Eps", CellID->49792760], - Cell[9202, 324, 586, 25, 35, "Output", + Cell[9204, 324, 586, 25, 35, "Output", CellTags->"Eps"], - Cell[9825, 354, 146, 5, 27, "Input", + Cell[9827, 354, 146, 5, 27, "Input", CellTags->"Eps", CellID->1112439860], - Cell[9974, 361, 203, 7, 35, "Output", + Cell[9976, 361, 203, 7, 35, "Output", CellTags->"Eps"], - Cell[10214, 373, 440, 13, 45, "Input", + Cell[10216, 373, 440, 13, 45, "Input", CellTags->"Eps", CellID->864825422], - Cell[10657, 388, 585, 25, 35, "Output", + Cell[10659, 388, 585, 25, 35, "Output", CellTags->"Eps"], - Cell[11279, 418, 176, 6, 27, "Input", + Cell[11281, 418, 176, 6, 27, "Input", CellTags->"Eps", CellID->225723746], - Cell[11458, 426, 375, 13, 37, "Output", + Cell[11460, 426, 375, 13, 37, "Output", CellTags->"Eps"], - Cell[11870, 444, 418, 14, 53, "Input", + Cell[11872, 444, 418, 14, 53, "Input", CellTags->"Eps", CellID->1182317355], - Cell[12291, 460, 1230, 49, 56, "Output", + Cell[12293, 460, 1230, 49, 56, "Output", CellTags->"Eps"], - Cell[13558, 514, 949, 28, 53, "Input", + Cell[13560, 514, 949, 28, 53, "Input", CellTags->"Eps", CellID->1736669356], - Cell[14510, 544, 1791, 65, 56, "Output", + Cell[14512, 544, 1791, 65, 56, "Output", CellTags->"Eps"], - Cell[16934, 639, 141, 5, 27, "Input", + Cell[16936, 639, 141, 5, 27, "Input", CellTags->"Eps", CellID->505384444], - Cell[17078, 646, 185, 6, 35, "Output", + Cell[17080, 646, 185, 6, 35, "Output", CellTags->"Eps"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 20302, 751}, - {"Eps", 20432, 755} + {"PrimaryExamplesSection", 20304, 751}, + {"Eps", 20435, 755} } *) (*NotebookFileOutline @@ -825,102 +825,102 @@ Cell[3823, 102, 280, 11, 45, "ObjectNameGrid"], Cell[4106, 115, 706, 20, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4837, 139, 387, 15, 31, "PrimaryExamplesSection", +Cell[4837, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->682619210], + CellID->2141488062], Cell[CellGroupData[{ -Cell[5249, 158, 195, 6, 26, "ExampleSection", - CellID->224916044], +Cell[5250, 158, 196, 6, 26, "ExampleSection", + CellID->1932390431], Cell[CellGroupData[{ -Cell[5469, 168, 340, 9, 45, "Input", +Cell[5471, 168, 340, 9, 45, "Input", CellTags->"Eps", CellID->882253219], -Cell[5812, 179, 586, 25, 35, "Output", +Cell[5814, 179, 586, 25, 35, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[6435, 209, 333, 9, 27, "Input", +Cell[6437, 209, 333, 9, 27, "Input", CellTags->"Eps", CellID->1187356604], -Cell[6771, 220, 610, 26, 38, "Output", +Cell[6773, 220, 610, 26, 38, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[7418, 251, 200, 7, 27, "Input", +Cell[7420, 251, 200, 7, 27, "Input", CellTags->"Eps", CellID->2026742577], -Cell[7621, 260, 243, 7, 51, "Output", +Cell[7623, 260, 243, 7, 51, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[7901, 272, 353, 9, 45, "Input", +Cell[7903, 272, 353, 9, 45, "Input", CellTags->"Eps", CellID->1867659172], -Cell[8257, 283, 566, 25, 38, "Output", +Cell[8259, 283, 566, 25, 38, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[8860, 313, 339, 9, 45, "Input", +Cell[8862, 313, 339, 9, 45, "Input", CellTags->"Eps", CellID->49792760], -Cell[9202, 324, 586, 25, 35, "Output", +Cell[9204, 324, 586, 25, 35, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[9825, 354, 146, 5, 27, "Input", +Cell[9827, 354, 146, 5, 27, "Input", CellTags->"Eps", CellID->1112439860], -Cell[9974, 361, 203, 7, 35, "Output", +Cell[9976, 361, 203, 7, 35, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[10214, 373, 440, 13, 45, "Input", +Cell[10216, 373, 440, 13, 45, "Input", CellTags->"Eps", CellID->864825422], -Cell[10657, 388, 585, 25, 35, "Output", +Cell[10659, 388, 585, 25, 35, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[11279, 418, 176, 6, 27, "Input", +Cell[11281, 418, 176, 6, 27, "Input", CellTags->"Eps", CellID->225723746], -Cell[11458, 426, 375, 13, 37, "Output", +Cell[11460, 426, 375, 13, 37, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[11870, 444, 418, 14, 53, "Input", +Cell[11872, 444, 418, 14, 53, "Input", CellTags->"Eps", CellID->1182317355], -Cell[12291, 460, 1230, 49, 56, "Output", +Cell[12293, 460, 1230, 49, 56, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[13558, 514, 949, 28, 53, "Input", +Cell[13560, 514, 949, 28, 53, "Input", CellTags->"Eps", CellID->1736669356], -Cell[14510, 544, 1791, 65, 56, "Output", +Cell[14512, 544, 1791, 65, 56, "Output", CellTags->"Eps"] }, Open ]], Cell[CellGroupData[{ -Cell[16338, 614, 145, 4, 27, "Input"], -Cell[16486, 620, 411, 14, 56, "Output"] +Cell[16340, 614, 145, 4, 27, "Input"], +Cell[16488, 620, 411, 14, 56, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16934, 639, 141, 5, 27, "Input", +Cell[16936, 639, 141, 5, 27, "Input", CellTags->"Eps", CellID->505384444], -Cell[17078, 646, 185, 6, 35, "Output", +Cell[17080, 646, 185, 6, 35, "Output", CellTags->"Eps"] }, Open ]] }, Open ]], -Cell[17290, 656, 31, 0, 29, "SectionFooterSpacer"] +Cell[17292, 656, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[17358, 661, 270, 12, 31, "SeeAlsoSection", +Cell[17360, 661, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[17631, 675, 649, 25, 56, "SeeAlso"] +Cell[17633, 675, 649, 25, 56, "SeeAlso"] }, Open ]], -Cell[18295, 703, 23, 0, 41, "FooterCell"] +Cell[18297, 703, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsChisholm.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsChisholm.nb index 6a9ee283f..c75c54d76 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsChisholm.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsChisholm.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14153, 497] -NotebookOptionsPosition[ 10944, 401] -NotebookOutlinePosition[ 13060, 458] -CellTagsIndexPosition[ 12975, 453] +NotebookDataLength[ 14100, 496] +NotebookOptionsPosition[ 10945, 401] +NotebookOutlinePosition[ 13006, 457] +CellTagsIndexPosition[ 12921, 452] WindowTitle->EpsChisholm WindowFrame->Normal*) @@ -82,7 +82,7 @@ EpsChisholm.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$77167], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$77287], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/EpsChisholm", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2032463450], + CellID->1699491535], Cell["", "SectionHeaderSpacer"], @@ -198,7 +198,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->267243850], + CellID->2065598712], Cell[CellGroupData[{ @@ -208,7 +208,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1000614591], + CellID->1896222223], Cell[CellGroupData[{ @@ -401,8 +401,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"EpsChisholm", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -414,7 +414,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 3.578066}", + "built" -> "{2020, 6, 20, 19, 4, 26.893030}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -434,8 +434,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -445,14 +444,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5969, 185, 387, 15, 31, "PrimaryExamplesSection", + Cell[5969, 185, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->267243850]} + CellID->2065598712]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12832, 446} + {"PrimaryExamplesSection", 12777, 445} } *) (*NotebookFileOutline @@ -466,7 +465,7 @@ Cell[4087, 115, 424, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4536, 131, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2032463450], + CellID->1699491535], Cell[5278, 157, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5334, 161, 94, 2, 70, "Input"], @@ -475,30 +474,30 @@ Cell[5431, 165, 477, 13, 56, "Output"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5969, 185, 387, 15, 31, "PrimaryExamplesSection", +Cell[5969, 185, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->267243850], + CellID->2065598712], Cell[CellGroupData[{ -Cell[6381, 204, 196, 6, 26, "ExampleSection", - CellID->1000614591], +Cell[6382, 204, 196, 6, 26, "ExampleSection", + CellID->1896222223], Cell[CellGroupData[{ -Cell[6602, 214, 220, 6, 27, "Input"], -Cell[6825, 222, 1011, 42, 40, "Output"] +Cell[6603, 214, 220, 6, 27, "Input"], +Cell[6826, 222, 1011, 42, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[7873, 269, 87, 2, 27, "Input"], -Cell[7963, 273, 2061, 81, 37, "Output"] +Cell[7874, 269, 87, 2, 27, "Input"], +Cell[7964, 273, 2061, 81, 37, "Output"] }, Open ]] }, Open ]], -Cell[10051, 358, 31, 0, 29, "SectionFooterSpacer"] +Cell[10052, 358, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10119, 363, 270, 12, 31, "SeeAlsoSection", +Cell[10120, 363, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10392, 377, 510, 19, 56, "SeeAlso", +Cell[10393, 377, 510, 19, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[10917, 399, 23, 0, 41, "FooterCell"] +Cell[10918, 399, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsContract.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsContract.nb index 9b8d4e05e..5b0436865 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsContract.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsContract.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12513, 435] +NotebookDataLength[ 12514, 435] NotebookOptionsPosition[ 8901, 326] -NotebookOutlinePosition[ 11416, 395] -CellTagsIndexPosition[ 11301, 389] +NotebookOutlinePosition[ 11417, 395] +CellTagsIndexPosition[ 11302, 389] WindowTitle->EpsContract WindowFrame->Normal*) @@ -81,7 +81,7 @@ EpsContract.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$78043], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$78163], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/EpsContract", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1606407450], + CellID->1717369497], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->698680576], + CellID->813365375], Cell[CellGroupData[{ @@ -326,8 +326,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"EpsContract", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -339,7 +339,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 6.061578}", + "built" -> "{2020, 6, 20, 19, 4, 28.943424}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -372,7 +372,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4517, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1606407450]}, + CellID->1717369497]}, "EpsContract"->{ Cell[6440, 216, 185, 6, 27, "Input", CellTags->"EpsContract", @@ -388,8 +388,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10816, 371}, - {"EpsContract", 10955, 375} + {"PrimaryExamplesSection", 10817, 371}, + {"EpsContract", 10956, 375} } *) (*NotebookFileOutline @@ -397,15 +397,15 @@ Notebook[{ Cell[583, 21, 3107, 76, 53, "AnchorBarGrid", CellID->1], Cell[3693, 99, 288, 11, 45, "ObjectNameGrid"], -Cell[3984, 112, 508, 13, 101, "Usage", +Cell[3984, 112, 508, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[4517, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1606407450], + CellID->1717369497], Cell[CellGroupData[{ Cell[4930, 148, 195, 6, 26, "ExampleSection", - CellID->698680576], + CellID->813365375], Cell[CellGroupData[{ Cell[5150, 158, 145, 4, 27, "Input"], Cell[5298, 164, 567, 24, 35, "Output"] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsContractFreeQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsContractFreeQ.nb index d347b400b..20e68aaed 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsContractFreeQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsContractFreeQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12119, 425] -NotebookOptionsPosition[ 8780, 324] -NotebookOutlinePosition[ 10986, 382] -CellTagsIndexPosition[ 10901, 377] +NotebookDataLength[ 12115, 425] +NotebookOptionsPosition[ 8778, 324] +NotebookOutlinePosition[ 10984, 382] +CellTagsIndexPosition[ 10899, 377] WindowTitle->EpsContractFreeQ WindowFrame->Normal*) @@ -80,7 +80,7 @@ EpsContractFreeQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$77605], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$77725], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/EpsContractFreeQ", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1538539530], + CellID->490637122], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1190513972], + CellID->347485705], Cell[CellGroupData[{ @@ -337,7 +337,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 4.741999}", + "built" -> "{2020, 6, 20, 19, 4, 27.946338}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -369,14 +369,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4583, 128, 388, 15, 31, "PrimaryExamplesSection", + Cell[4583, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1538539530]} + CellID->490637122]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10757, 370} + {"PrimaryExamplesSection", 10756, 370} } *) (*NotebookFileOutline @@ -387,46 +387,46 @@ Cell[3717, 98, 293, 11, 45, "ObjectNameGrid"], Cell[4013, 111, 545, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4583, 128, 388, 15, 31, "PrimaryExamplesSection", +Cell[4583, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1538539530], + CellID->490637122], Cell[CellGroupData[{ -Cell[4996, 147, 196, 6, 26, "ExampleSection", - CellID->1190513972], +Cell[4995, 147, 195, 6, 26, "ExampleSection", + CellID->347485705], Cell[CellGroupData[{ -Cell[5217, 157, 176, 5, 27, "Input", +Cell[5215, 157, 176, 5, 27, "Input", CellID->194594739], -Cell[5396, 164, 572, 25, 38, "Output", +Cell[5394, 164, 572, 25, 38, "Output", CellID->216300725] }, Open ]], Cell[CellGroupData[{ -Cell[6005, 194, 113, 3, 27, "Input", +Cell[6003, 194, 113, 3, 27, "Input", CellID->1135797473], -Cell[6121, 199, 189, 6, 35, "Output", +Cell[6119, 199, 189, 6, 35, "Output", CellID->900745743] }, Open ]], Cell[CellGroupData[{ -Cell[6347, 210, 282, 9, 27, "Input", +Cell[6345, 210, 282, 9, 27, "Input", CellID->401856309], -Cell[6632, 221, 1020, 45, 38, "Output", +Cell[6630, 221, 1020, 45, 38, "Output", CellID->172471305] }, Open ]], Cell[CellGroupData[{ -Cell[7689, 271, 113, 3, 27, "Input", +Cell[7687, 271, 113, 3, 27, "Input", CellID->1103072881], -Cell[7805, 276, 191, 6, 35, "Output", +Cell[7803, 276, 191, 6, 35, "Output", CellID->1920409101] }, Open ]] }, Open ]], -Cell[8023, 286, 31, 0, 29, "SectionFooterSpacer"] +Cell[8021, 286, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8091, 291, 270, 12, 31, "SeeAlsoSection", +Cell[8089, 291, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8364, 305, 374, 14, 56, "SeeAlso", +Cell[8362, 305, 374, 14, 56, "SeeAlso", CellID->14792505] }, Open ]], -Cell[8753, 322, 23, 0, 41, "FooterCell"] +Cell[8751, 322, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsDiscard.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsDiscard.nb index 5bc40011a..2c8f0de8e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsDiscard.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsDiscard.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6916, 209] +NotebookDataLength[ 6917, 209] NotebookOptionsPosition[ 4859, 152] -NotebookOutlinePosition[ 6709, 201] -CellTagsIndexPosition[ 6666, 198] +NotebookOutlinePosition[ 6710, 201] +CellTagsIndexPosition[ 6667, 198] WindowTitle->EpsDiscard WindowFrame->Normal*) @@ -79,7 +79,7 @@ EpsDiscard.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$78480], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$78600], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/EpsDiscard", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 7.271440}", + "built" -> "{2020, 6, 20, 19, 4, 30.034328}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsEvaluate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsEvaluate.nb index 7664625e9..eb1a33346 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsEvaluate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsEvaluate.nb @@ -82,7 +82,7 @@ EpsEvaluate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$78925], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$79045], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/EpsEvaluate", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1134527267], + CellID->1242207294], Cell["", "SectionHeaderSpacer"], @@ -195,7 +195,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1045845675], + CellID->640327998], Cell[CellGroupData[{ @@ -205,7 +205,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->227360342], + CellID->1881477872], Cell[CellGroupData[{ @@ -411,7 +411,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 8.290141}", + "built" -> "{2020, 6, 20, 19, 4, 30.856586}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -441,9 +441,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5876, 182, 388, 15, 31, "PrimaryExamplesSection", + Cell[5876, 182, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1045845675]}, + CellID->640327998]}, "EpsEvaluate"->{ Cell[6509, 211, 388, 13, 27, "Input", CellTags->"EpsEvaluate", @@ -464,7 +464,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12685, 442}, + {"PrimaryExamplesSection", 12686, 442}, {"EpsEvaluate", 12824, 446} } *) @@ -479,7 +479,7 @@ Cell[4143, 115, 442, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4610, 131, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1134527267], + CellID->1242207294], Cell[5352, 157, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5408, 161, 95, 2, 70, "Input"], @@ -488,12 +488,12 @@ Cell[5506, 165, 309, 10, 37, "Output"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5876, 182, 388, 15, 31, "PrimaryExamplesSection", +Cell[5876, 182, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1045845675], + CellID->640327998], Cell[CellGroupData[{ -Cell[6289, 201, 195, 6, 26, "ExampleSection", - CellID->227360342], +Cell[6288, 201, 196, 6, 26, "ExampleSection", + CellID->1881477872], Cell[CellGroupData[{ Cell[6509, 211, 388, 13, 27, "Input", CellTags->"EpsEvaluate", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Epsilon.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Epsilon.nb index 18785084a..e74f0ca7b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Epsilon.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Epsilon.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10322, 351] -NotebookOptionsPosition[ 6990, 249] -NotebookOutlinePosition[ 9430, 318] -CellTagsIndexPosition[ 9321, 312] +NotebookDataLength[ 10264, 350] +NotebookOptionsPosition[ 6989, 249] +NotebookOutlinePosition[ 9373, 317] +CellTagsIndexPosition[ 9264, 311] WindowTitle->Epsilon WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$79797], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$79917], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Epsilon", ".html"]], None}]}]}, @@ -145,7 +145,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1025208523], + CellID->555399448], Cell[CellGroupData[{ @@ -155,7 +155,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1872756934], + CellID->1730994726], Cell[CellGroupData[{ @@ -208,7 +208,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"True", ",", "True", ",", "True", ",", "True", ",", "True"}], "}"}], TraditionalForm]], "Output", - ImageSize->{187, 14}, + ImageSize->{187, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Epsilon", @@ -250,7 +250,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Epsilon", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -262,7 +262,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 10.780254}", + "built" -> "{2020, 6, 20, 19, 4, 32.961588}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -282,8 +282,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -293,26 +292,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4401, 132, 388, 15, 31, "PrimaryExamplesSection", + Cell[4401, 132, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1025208523]}, + CellID->555399448]}, "Epsilon"->{ - Cell[5035, 161, 98, 3, 27, "Input", + Cell[5034, 161, 98, 3, 27, "Input", CellTags->"Epsilon", CellID->777209644], - Cell[5136, 166, 233, 8, 35, "Output", + Cell[5135, 166, 233, 8, 35, "Output", CellTags->"Epsilon"], - Cell[5502, 183, 606, 20, 45, "Input", + Cell[5501, 183, 606, 20, 45, "Input", CellTags->"Epsilon", CellID->2127471490], - Cell[6111, 205, 285, 9, 35, "Output", + Cell[6110, 205, 285, 9, 37, "Output", CellTags->"Epsilon"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8859, 294}, - {"Epsilon", 8994, 298} + {"PrimaryExamplesSection", 8803, 293}, + {"Epsilon", 8937, 297} } *) (*NotebookFileOutline @@ -323,36 +322,36 @@ Cell[3577, 97, 284, 11, 45, "ObjectNameGrid"], Cell[3864, 110, 512, 18, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4401, 132, 388, 15, 31, "PrimaryExamplesSection", +Cell[4401, 132, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1025208523], + CellID->555399448], Cell[CellGroupData[{ -Cell[4814, 151, 196, 6, 26, "ExampleSection", - CellID->1872756934], +Cell[4813, 151, 196, 6, 26, "ExampleSection", + CellID->1730994726], Cell[CellGroupData[{ -Cell[5035, 161, 98, 3, 27, "Input", +Cell[5034, 161, 98, 3, 27, "Input", CellTags->"Epsilon", CellID->777209644], -Cell[5136, 166, 233, 8, 35, "Output", +Cell[5135, 166, 233, 8, 35, "Output", CellTags->"Epsilon"] }, Open ]], -Cell[5384, 177, 93, 2, 32, "Notes"], +Cell[5383, 177, 93, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[5502, 183, 606, 20, 45, "Input", +Cell[5501, 183, 606, 20, 45, "Input", CellTags->"Epsilon", CellID->2127471490], -Cell[6111, 205, 285, 9, 35, "Output", +Cell[6110, 205, 285, 9, 37, "Output", CellTags->"Epsilon"] }, Open ]] }, Open ]], -Cell[6423, 218, 31, 0, 29, "SectionFooterSpacer"] +Cell[6422, 218, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6491, 223, 270, 12, 31, "SeeAlsoSection", +Cell[6490, 223, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6764, 237, 184, 7, 56, "SeeAlso"] +Cell[6763, 237, 184, 7, 56, "SeeAlso"] }, Open ]], -Cell[6963, 247, 23, 0, 41, "FooterCell"] +Cell[6962, 247, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonIR.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonIR.nb index 924ad1663..b4901eaed 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonIR.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonIR.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8675, 285] -NotebookOptionsPosition[ 5850, 201] -NotebookOutlinePosition[ 7928, 257] -CellTagsIndexPosition[ 7844, 252] +NotebookDataLength[ 8624, 284] +NotebookOptionsPosition[ 5852, 201] +NotebookOutlinePosition[ 7875, 256] +CellTagsIndexPosition[ 7791, 251] WindowTitle->EpsilonIR WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$79364], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$79484], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/EpsilonIR", ".html"]], None}]}]}, @@ -133,7 +133,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->533080242], + CellID->1987866831], Cell["", "SectionHeaderSpacer"], @@ -167,7 +167,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->266038101], + CellID->1477939301], Cell[CellGroupData[{ @@ -177,7 +177,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2042922420], + CellID->2131271085], Cell[CellGroupData[{ @@ -201,8 +201,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"EpsilonIR", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -214,7 +214,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 9.638402}", + "built" -> "{2020, 6, 20, 19, 4, 31.948788}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -233,8 +233,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -244,14 +243,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4847, 154, 387, 15, 31, "PrimaryExamplesSection", + Cell[4848, 154, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->266038101]} + CellID->1477939301]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7701, 245} + {"PrimaryExamplesSection", 7647, 244} } *) (*NotebookFileOutline @@ -263,30 +262,30 @@ Cell[CellGroupData[{ Cell[3171, 91, 517, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3713, 111, 738, 24, 31, "NotesSection", +Cell[3713, 111, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->533080242], -Cell[4454, 137, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4488, 139, 310, 9, 70, "Notes", + CellID->1987866831], +Cell[4455, 137, 31, 0, 14, "SectionHeaderSpacer"], +Cell[4489, 139, 310, 9, 33, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4847, 154, 387, 15, 31, "PrimaryExamplesSection", +Cell[4848, 154, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->266038101], + CellID->1477939301], Cell[CellGroupData[{ -Cell[5259, 173, 196, 6, 26, "ExampleSection", - CellID->2042922420], +Cell[5261, 173, 196, 6, 26, "ExampleSection", + CellID->2131271085], Cell[CellGroupData[{ -Cell[5480, 183, 78, 2, 27, "Input", +Cell[5482, 183, 78, 2, 27, "Input", CellID->303667908], -Cell[5561, 187, 223, 7, 37, "Output", +Cell[5563, 187, 223, 7, 37, "Output", CellID->128112661] }, Open ]] }, Open ]] }, Open ]], -Cell[5823, 199, 23, 0, 41, "FooterCell"] +Cell[5825, 199, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonOrder.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonOrder.nb index 74b347ff8..c9436b2d8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonOrder.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonOrder.nb @@ -81,7 +81,7 @@ EpsilonOrder.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$80232], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$80352], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/EpsilonOrder", ".html"]], None}]}]}, @@ -179,7 +179,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 11.888897}", + "built" -> "{2020, 6, 20, 19, 4, 33.948925}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonUV.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonUV.nb index 48dd879d3..c38fd6c8f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonUV.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/EpsilonUV.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8675, 285] +NotebookDataLength[ 8622, 284] NotebookOptionsPosition[ 5851, 201] -NotebookOutlinePosition[ 7927, 257] -CellTagsIndexPosition[ 7843, 252] +NotebookOutlinePosition[ 7874, 256] +CellTagsIndexPosition[ 7790, 251] WindowTitle->EpsilonUV WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$80675], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$80795], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/EpsilonUV", ".html"]], None}]}]}, @@ -133,7 +133,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1649385959], + CellID->394219799], Cell["", "SectionHeaderSpacer"], @@ -167,7 +167,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->300599167], + CellID->1250355418], Cell[CellGroupData[{ @@ -177,7 +177,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1977074138], + CellID->1167053116], Cell[CellGroupData[{ @@ -202,7 +202,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"EpsilonUV", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -214,7 +214,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 12.731808}", + "built" -> "{2020, 6, 20, 19, 4, 34.748347}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -233,8 +233,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -244,14 +243,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4848, 154, 387, 15, 31, "PrimaryExamplesSection", + Cell[4847, 154, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->300599167]} + CellID->1250355418]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7700, 245} + {"PrimaryExamplesSection", 7646, 244} } *) (*NotebookFileOutline @@ -263,21 +262,21 @@ Cell[CellGroupData[{ Cell[3171, 91, 517, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3713, 111, 739, 24, 31, "NotesSection", +Cell[3713, 111, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1649385959], -Cell[4455, 137, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4489, 139, 310, 9, 70, "Notes", + CellID->394219799], +Cell[4454, 137, 31, 0, 70, "SectionHeaderSpacer"], +Cell[4488, 139, 310, 9, 70, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4848, 154, 387, 15, 31, "PrimaryExamplesSection", +Cell[4847, 154, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->300599167], + CellID->1250355418], Cell[CellGroupData[{ Cell[5260, 173, 196, 6, 26, "ExampleSection", - CellID->1977074138], + CellID->1167053116], Cell[CellGroupData[{ Cell[5481, 183, 78, 2, 27, "Input", CellID->303667908], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Expand2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Expand2.nb index 7a69b65a4..d2cb741d5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Expand2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Expand2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11054, 371] -NotebookOptionsPosition[ 8028, 280] -NotebookOutlinePosition[ 10341, 344] -CellTagsIndexPosition[ 10231, 338] +NotebookDataLength[ 10991, 370] +NotebookOptionsPosition[ 8026, 280] +NotebookOutlinePosition[ 10280, 343] +CellTagsIndexPosition[ 10171, 337] WindowTitle->Expand2 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$81555], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$81675], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Expand2", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1048340278], + CellID->530823576], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1535036385], + CellID->509147369], Cell[CellGroupData[{ @@ -280,8 +280,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Expand2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -293,7 +293,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 15.107623}", + "built" -> "{2020, 6, 20, 19, 4, 36.962204}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -313,8 +313,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -324,21 +323,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3641, 107, 388, 15, 31, "PrimaryExamplesSection", + Cell[3641, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1048340278]}, + CellID->530823576]}, "Expand2"->{ - Cell[6701, 227, 598, 22, 27, "Input", + Cell[6699, 227, 598, 22, 27, "Input", CellTags->"Expand2", CellID->1988123480], - Cell[7302, 251, 660, 22, 39, "Output", + Cell[7300, 251, 660, 22, 39, "Output", CellTags->"Expand2"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9918, 325}, - {"Expand2", 10053, 329} + {"PrimaryExamplesSection", 9859, 324}, + {"Expand2", 9993, 328} } *) (*NotebookFileOutline @@ -349,30 +348,30 @@ Cell[2850, 76, 284, 11, 45, "ObjectNameGrid"], Cell[3137, 89, 479, 14, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3641, 107, 388, 15, 31, "PrimaryExamplesSection", +Cell[3641, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1048340278], + CellID->530823576], Cell[CellGroupData[{ -Cell[4054, 126, 196, 6, 26, "ExampleSection", - CellID->1535036385], +Cell[4053, 126, 195, 6, 26, "ExampleSection", + CellID->509147369], Cell[CellGroupData[{ -Cell[4275, 136, 466, 17, 27, "Input"], -Cell[4744, 155, 690, 20, 39, "Output"] +Cell[4273, 136, 466, 17, 27, "Input"], +Cell[4742, 155, 690, 20, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[5471, 180, 555, 20, 27, "Input"], -Cell[6029, 202, 635, 20, 39, "Output"] +Cell[5469, 180, 555, 20, 27, "Input"], +Cell[6027, 202, 635, 20, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6701, 227, 598, 22, 27, "Input", +Cell[6699, 227, 598, 22, 27, "Input", CellTags->"Expand2", CellID->1988123480], -Cell[7302, 251, 660, 22, 39, "Output", +Cell[7300, 251, 660, 22, 39, "Output", CellTags->"Expand2"] }, Open ]] }, Open ]] }, Open ]], -Cell[8001, 278, 23, 0, 41, "FooterCell"] +Cell[7999, 278, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandAll2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandAll2.nb index b17c360f1..b5a404071 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandAll2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandAll2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9251, 313] -NotebookOptionsPosition[ 6228, 221] -NotebookOutlinePosition[ 8315, 277] -CellTagsIndexPosition[ 8231, 272] +NotebookDataLength[ 9199, 312] +NotebookOptionsPosition[ 6230, 221] +NotebookOutlinePosition[ 8261, 276] +CellTagsIndexPosition[ 8177, 271] WindowTitle->ExpandAll2 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$81986], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$82106], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExpandAll2", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->175336636], + CellID->2028008185], Cell[CellGroupData[{ @@ -128,7 +128,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->161141816], + CellID->1783834313], Cell["Benchmark against the standard ExpandAll", "Notes", CellID->29146736], @@ -165,7 +165,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"0.231287`", ",", "Null"}], "}"}], TraditionalForm]], "Output", - ImageSize->{105, 14}, + ImageSize->{105, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[2]=", @@ -186,7 +186,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"0.100603`", ",", "Null"}], "}"}], TraditionalForm]], "Output", - ImageSize->{105, 14}, + ImageSize->{105, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[3]=", @@ -222,7 +222,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"ExpandAll2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -234,7 +234,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 16.274425}", + "built" -> "{2020, 6, 20, 19, 4, 37.968803}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -253,8 +253,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -264,14 +263,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3590, 105, 387, 15, 31, "PrimaryExamplesSection", + Cell[3590, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->175336636]} + CellID->2028008185]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8088, 265} + {"PrimaryExamplesSection", 8033, 264} } *) (*NotebookFileOutline @@ -282,39 +281,39 @@ Cell[2865, 76, 287, 11, 45, "ObjectNameGrid"], Cell[3155, 89, 410, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3590, 105, 387, 15, 31, "PrimaryExamplesSection", +Cell[3590, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->175336636], + CellID->2028008185], Cell[CellGroupData[{ -Cell[4002, 124, 195, 6, 26, "ExampleSection", - CellID->161141816], -Cell[4200, 132, 76, 1, 32, "Notes", +Cell[4003, 124, 196, 6, 26, "ExampleSection", + CellID->1783834313], +Cell[4202, 132, 76, 1, 32, "Notes", CellID->29146736], -Cell[4279, 135, 454, 16, 27, "Input", +Cell[4281, 135, 454, 16, 27, "Input", CellID->815060274], Cell[CellGroupData[{ -Cell[4758, 155, 196, 6, 27, "Input", +Cell[4760, 155, 196, 6, 27, "Input", CellID->1771988175], -Cell[4957, 163, 245, 8, 35, "Output", +Cell[4959, 163, 245, 8, 37, "Output", CellID->562912175] }, Open ]], Cell[CellGroupData[{ -Cell[5239, 176, 196, 6, 27, "Input", +Cell[5241, 176, 196, 6, 27, "Input", CellID->133925139], -Cell[5438, 184, 245, 8, 35, "Output", +Cell[5440, 184, 245, 8, 37, "Output", CellID->904704881] }, Open ]], Cell[CellGroupData[{ -Cell[5720, 197, 101, 3, 27, "Input", +Cell[5722, 197, 101, 3, 27, "Input", CellID->1580956926], -Cell[5824, 202, 190, 6, 35, "Output", +Cell[5826, 202, 190, 6, 35, "Output", CellID->1145286211] }, Open ]], -Cell[6029, 211, 145, 4, 27, "Input", +Cell[6031, 211, 145, 4, 27, "Input", CellID->132487496] }, Open ]] }, Open ]], -Cell[6201, 219, 23, 0, 41, "FooterCell"] +Cell[6203, 219, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandPartialD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandPartialD.nb index bb036e27f..559bebd1e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandPartialD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandPartialD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 31846, 1152] -NotebookOptionsPosition[ 24534, 919] -NotebookOutlinePosition[ 28562, 1033] -CellTagsIndexPosition[ 28444, 1027] +NotebookDataLength[ 31851, 1152] +NotebookOptionsPosition[ 24536, 919] +NotebookOutlinePosition[ 28565, 1033] +CellTagsIndexPosition[ 28447, 1027] WindowTitle->ExpandPartialD WindowFrame->Normal*) @@ -87,7 +87,7 @@ ExpandPartialD.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$82904], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$83024], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExpandPartialD", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1708841866], + CellID->1975655436], Cell["", "SectionHeaderSpacer"], @@ -241,7 +241,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->579825297], + CellID->1915953363], Cell[CellGroupData[{ @@ -251,7 +251,7 @@ Cell[TextData[{ Cell["(5)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->539182276], + CellID->1334692433], Cell[CellGroupData[{ @@ -920,7 +920,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ExpandPartialD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -932,7 +932,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 18.386695}", + "built" -> "{2020, 6, 20, 19, 4, 39.797617}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -963,71 +963,71 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7610, 228, 387, 15, 31, "PrimaryExamplesSection", + Cell[7610, 228, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->579825297]}, + CellID->1915953363]}, "ExpandPartialD"->{ - Cell[8242, 257, 392, 11, 45, "Input", + Cell[8244, 257, 392, 11, 45, "Input", CellTags->"ExpandPartialD", CellID->1663995859], - Cell[8637, 270, 574, 23, 45, "Output", + Cell[8639, 270, 574, 23, 45, "Output", CellTags->"ExpandPartialD"], - Cell[9248, 298, 138, 4, 27, "Input", + Cell[9250, 298, 138, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->42906170], - Cell[9389, 304, 1191, 49, 40, "Output", + Cell[9391, 304, 1191, 49, 40, "Output", CellTags->"ExpandPartialD"], - Cell[10747, 364, 278, 8, 27, "Input", + Cell[10749, 364, 278, 8, 27, "Input", CellTags->"ExpandPartialD", CellID->1133080623], - Cell[11028, 374, 469, 18, 45, "Output", + Cell[11030, 374, 469, 18, 45, "Output", CellTags->"ExpandPartialD"], - Cell[11534, 397, 139, 4, 27, "Input", + Cell[11536, 397, 139, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->714332804], - Cell[11676, 403, 928, 36, 56, "Output", + Cell[11678, 403, 928, 36, 56, "Output", CellTags->"ExpandPartialD"], - Cell[12783, 451, 452, 14, 45, "Input", + Cell[12785, 451, 452, 14, 45, "Input", CellTags->"ExpandPartialD", CellID->1818055573], - Cell[13238, 467, 599, 23, 45, "Output", + Cell[13240, 467, 599, 23, 45, "Output", CellTags->"ExpandPartialD"], - Cell[13874, 495, 140, 4, 27, "Input", + Cell[13876, 495, 140, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->1536725497], - Cell[14017, 501, 2735, 101, 56, "Output", + Cell[14019, 501, 2735, 101, 56, "Output", CellTags->"ExpandPartialD"], - Cell[16931, 614, 198, 7, 27, "Input", + Cell[16933, 614, 198, 7, 27, "Input", CellTags->"ExpandPartialD", CellID->302634492], - Cell[17132, 623, 390, 13, 44, "Output", + Cell[17134, 623, 390, 13, 44, "Output", CellTags->"ExpandPartialD"], - Cell[17559, 641, 142, 4, 27, "Input", + Cell[17561, 641, 142, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->1446708912], - Cell[17704, 647, 607, 21, 48, "Output", + Cell[17706, 647, 607, 21, 48, "Output", CellTags->"ExpandPartialD"], - Cell[18348, 673, 136, 4, 27, "Input", + Cell[18350, 673, 136, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->752224], - Cell[18487, 679, 2461, 86, 43, "Output", + Cell[18489, 679, 2461, 86, 43, "Output", CellTags->"ExpandPartialD"], - Cell[21127, 777, 324, 10, 27, "Input", + Cell[21129, 777, 324, 10, 27, "Input", CellTags->"ExpandPartialD", CellID->623620416], - Cell[21454, 789, 1356, 53, 45, "Output", + Cell[21456, 789, 1356, 53, 45, "Output", CellTags->"ExpandPartialD"], - Cell[22847, 847, 139, 4, 27, "Input", + Cell[22849, 847, 139, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->726282079], - Cell[22989, 853, 195, 6, 35, "Output", + Cell[22991, 853, 195, 6, 35, "Output", CellTags->"ExpandPartialD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 26427, 964}, - {"ExpandPartialD", 26568, 968} + {"PrimaryExamplesSection", 26429, 964}, + {"ExpandPartialD", 26571, 968} } *) (*NotebookFileOutline @@ -1041,7 +1041,7 @@ Cell[4377, 120, 566, 15, 102, "Usage", Cell[CellGroupData[{ Cell[4968, 139, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1708841866], + CellID->1975655436], Cell[5710, 165, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5766, 169, 97, 2, 70, "Input"], @@ -1050,110 +1050,110 @@ Cell[5866, 173, 1683, 48, 70, "Output"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7610, 228, 387, 15, 31, "PrimaryExamplesSection", +Cell[7610, 228, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->579825297], + CellID->1915953363], Cell[CellGroupData[{ -Cell[8022, 247, 195, 6, 26, "ExampleSection", - CellID->539182276], +Cell[8023, 247, 196, 6, 26, "ExampleSection", + CellID->1334692433], Cell[CellGroupData[{ -Cell[8242, 257, 392, 11, 45, "Input", +Cell[8244, 257, 392, 11, 45, "Input", CellTags->"ExpandPartialD", CellID->1663995859], -Cell[8637, 270, 574, 23, 45, "Output", +Cell[8639, 270, 574, 23, 45, "Output", CellTags->"ExpandPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[9248, 298, 138, 4, 27, "Input", +Cell[9250, 298, 138, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->42906170], -Cell[9389, 304, 1191, 49, 40, "Output", +Cell[9391, 304, 1191, 49, 40, "Output", CellTags->"ExpandPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[10617, 358, 105, 2, 9, "ExampleDelimiter"], +Cell[10619, 358, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[10747, 364, 278, 8, 27, "Input", +Cell[10749, 364, 278, 8, 27, "Input", CellTags->"ExpandPartialD", CellID->1133080623], -Cell[11028, 374, 469, 18, 45, "Output", +Cell[11030, 374, 469, 18, 45, "Output", CellTags->"ExpandPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[11534, 397, 139, 4, 27, "Input", +Cell[11536, 397, 139, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->714332804], -Cell[11676, 403, 928, 36, 56, "Output", +Cell[11678, 403, 928, 36, 56, "Output", CellTags->"ExpandPartialD"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[12653, 445, 105, 2, 9, "ExampleDelimiter"], +Cell[12655, 445, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[12783, 451, 452, 14, 45, "Input", +Cell[12785, 451, 452, 14, 45, "Input", CellTags->"ExpandPartialD", CellID->1818055573], -Cell[13238, 467, 599, 23, 45, "Output", +Cell[13240, 467, 599, 23, 45, "Output", CellTags->"ExpandPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[13874, 495, 140, 4, 27, "Input", +Cell[13876, 495, 140, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->1536725497], -Cell[14017, 501, 2735, 101, 56, "Output", +Cell[14019, 501, 2735, 101, 56, "Output", CellTags->"ExpandPartialD"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[16801, 608, 105, 2, 9, "ExampleDelimiter"], +Cell[16803, 608, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[16931, 614, 198, 7, 27, "Input", +Cell[16933, 614, 198, 7, 27, "Input", CellTags->"ExpandPartialD", CellID->302634492], -Cell[17132, 623, 390, 13, 44, "Output", +Cell[17134, 623, 390, 13, 44, "Output", CellTags->"ExpandPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[17559, 641, 142, 4, 27, "Input", +Cell[17561, 641, 142, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->1446708912], -Cell[17704, 647, 607, 21, 48, "Output", +Cell[17706, 647, 607, 21, 48, "Output", CellTags->"ExpandPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[18348, 673, 136, 4, 27, "Input", +Cell[18350, 673, 136, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->752224], -Cell[18487, 679, 2461, 86, 43, "Output", +Cell[18489, 679, 2461, 86, 43, "Output", CellTags->"ExpandPartialD"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[20997, 771, 105, 2, 9, "ExampleDelimiter"], +Cell[20999, 771, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[21127, 777, 324, 10, 27, "Input", +Cell[21129, 777, 324, 10, 27, "Input", CellTags->"ExpandPartialD", CellID->623620416], -Cell[21454, 789, 1356, 53, 45, "Output", +Cell[21456, 789, 1356, 53, 45, "Output", CellTags->"ExpandPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[22847, 847, 139, 4, 27, "Input", +Cell[22849, 847, 139, 4, 27, "Input", CellTags->"ExpandPartialD", CellID->726282079], -Cell[22989, 853, 195, 6, 35, "Output", +Cell[22991, 853, 195, 6, 35, "Output", CellTags->"ExpandPartialD"] }, Open ]] }, Open ]] }, Open ]], -Cell[23223, 864, 31, 0, 29, "SectionFooterSpacer"] +Cell[23225, 864, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[23291, 869, 270, 12, 31, "SeeAlsoSection", +Cell[23293, 869, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[23564, 883, 928, 31, 56, "SeeAlso"] +Cell[23566, 883, 928, 31, 56, "SeeAlso"] }, Open ]], -Cell[24507, 917, 23, 0, 41, "FooterCell"] +Cell[24509, 917, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandScalarProduct.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandScalarProduct.nb index 3a1ce035d..cb07971ab 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandScalarProduct.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExpandScalarProduct.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 27576, 951] +NotebookDataLength[ 27575, 951] NotebookOptionsPosition[ 18210, 712] -NotebookOutlinePosition[ 24573, 862] -CellTagsIndexPosition[ 24412, 855] +NotebookOutlinePosition[ 24572, 862] +CellTagsIndexPosition[ 24411, 855] WindowTitle->ExpandScalarProduct WindowFrame->Normal*) @@ -82,7 +82,7 @@ ExpandScalarProduct.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$83354], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$83474], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExpandScalarProduct", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->507985412], + CellID->1296143807], Cell["", "SectionHeaderSpacer"], @@ -201,7 +201,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1019186291], + CellID->655992061], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1652478564], + CellID->1838742359], Cell[CellGroupData[{ @@ -712,8 +712,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ExpandScalarProduct", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -725,7 +725,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 19.695426}", + "built" -> "{2020, 6, 20, 19, 4, 40.988018}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -755,10 +755,10 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "ExpandScalarProduct"->{ - Cell[5431, 161, 182, 4, 70, "Input", + Cell[5432, 161, 182, 4, 70, "Input", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}, CellID->668026966], - Cell[5616, 167, 529, 14, 56, "Output", + Cell[5617, 167, 529, 14, 56, "Output", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}], Cell[6840, 217, 276, 8, 27, "Input", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}, @@ -801,10 +801,10 @@ CellTagsIndex->{ Cell[16219, 620, 1049, 45, 39, "Output", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}]}, "ScalarProductExpand"->{ - Cell[5431, 161, 182, 4, 70, "Input", + Cell[5432, 161, 182, 4, 70, "Input", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}, CellID->668026966], - Cell[5616, 167, 529, 14, 56, "Output", + Cell[5617, 167, 529, 14, 56, "Output", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}], Cell[6840, 217, 276, 8, 27, "Input", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}, @@ -847,9 +847,9 @@ CellTagsIndex->{ Cell[16219, 620, 1049, 45, 39, "Output", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}]}, "PrimaryExamplesSection"->{ - Cell[6206, 188, 388, 15, 31, "PrimaryExamplesSection", + Cell[6207, 188, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1019186291]} + CellID->655992061]} } *) (*CellTagsIndex @@ -868,26 +868,26 @@ Cell[CellGroupData[{ Cell[4159, 115, 450, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4634, 131, 738, 24, 31, "NotesSection", +Cell[4634, 131, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->507985412], -Cell[5375, 157, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1296143807], +Cell[5376, 157, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5431, 161, 182, 4, 70, "Input", +Cell[5432, 161, 182, 4, 70, "Input", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}, CellID->668026966], -Cell[5616, 167, 529, 14, 56, "Output", +Cell[5617, 167, 529, 14, 56, "Output", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6206, 188, 388, 15, 31, "PrimaryExamplesSection", +Cell[6207, 188, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1019186291], + CellID->655992061], Cell[CellGroupData[{ Cell[6619, 207, 196, 6, 26, "ExampleSection", - CellID->1652478564], + CellID->1838742359], Cell[CellGroupData[{ Cell[6840, 217, 276, 8, 27, "Input", CellTags->{"ExpandScalarProduct", "ScalarProductExpand"}, @@ -948,11 +948,11 @@ Cell[16219, 620, 1049, 45, 39, "Output", Cell[17295, 669, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[17363, 674, 270, 12, 70, "SeeAlsoSection", +Cell[17363, 674, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[17636, 688, 532, 19, 70, "SeeAlso"] +Cell[17636, 688, 532, 19, 56, "SeeAlso"] }, Open ]], -Cell[18183, 710, 23, 0, 70, "FooterCell"] +Cell[18183, 710, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Expanding.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Expanding.nb index 81bf57b76..7cb140131 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Expanding.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Expanding.nb @@ -86,7 +86,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$82422], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$82542], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Expanding", ".html"]], None}]}]}, @@ -199,7 +199,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 17.527249}", + "built" -> "{2020, 6, 20, 19, 4, 38.968539}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Explicit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Explicit.nb index c14be836f..acd0586f7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Explicit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Explicit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23244, 874] -NotebookOptionsPosition[ 18391, 723] -NotebookOutlinePosition[ 21658, 814] -CellTagsIndexPosition[ 21546, 808] +NotebookDataLength[ 23189, 873] +NotebookOptionsPosition[ 18392, 723] +NotebookOutlinePosition[ 21602, 813] +CellTagsIndexPosition[ 21490, 807] WindowTitle->Explicit WindowFrame->Normal*) @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$84684], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$84804], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Explicit", ".html"]], None}]}]}, @@ -146,7 +146,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->295221976], + CellID->698637071], Cell[CellGroupData[{ @@ -156,7 +156,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->962752738], + CellID->2104343128], Cell[CellGroupData[{ @@ -563,7 +563,7 @@ Cell[BoxData[ TraditionalForm], TraditionalForm]]}]}], ")"}]}]}], ")"}]}], TraditionalForm]], "Output", - ImageSize->{581, 35}, + ImageSize->{384, 62}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Explicit", @@ -723,8 +723,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Explicit", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -736,7 +736,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 23.439124}", + "built" -> "{2020, 6, 20, 19, 4, 44.189860}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -758,8 +758,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -771,44 +770,44 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4678, 133, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->295221976]}, + CellID->698637071]}, "Explicit"->{ - Cell[5310, 162, 248, 7, 27, "Input", + Cell[5311, 162, 248, 7, 27, "Input", CellTags->"Explicit", CellID->672712555], - Cell[5561, 171, 1200, 53, 40, "Output", + Cell[5562, 171, 1200, 53, 40, "Output", CellTags->"Explicit"], - Cell[6798, 229, 128, 4, 27, "Input", + Cell[6799, 229, 128, 4, 27, "Input", CellTags->"Explicit", CellID->1603275034], - Cell[6929, 235, 2887, 118, 43, "Output", + Cell[6930, 235, 2887, 118, 43, "Output", CellTags->"Explicit"], - Cell[9853, 358, 202, 6, 27, "Input", + Cell[9854, 358, 202, 6, 27, "Input", CellTags->"Explicit", CellID->221852196], - Cell[10058, 366, 1020, 41, 56, "Output", + Cell[10059, 366, 1020, 41, 56, "Output", CellTags->"Explicit"], - Cell[11115, 412, 127, 4, 27, "Input", + Cell[11116, 412, 127, 4, 27, "Input", CellTags->"Explicit", CellID->441966106], - Cell[11245, 418, 3853, 151, 56, "Output", + Cell[11246, 418, 3853, 151, 83, "Output", CellTags->"Explicit"], - Cell[15135, 574, 171, 5, 27, "Input", + Cell[15136, 574, 171, 5, 27, "Input", CellTags->"Explicit", CellID->3454152], - Cell[15309, 581, 354, 14, 40, "Output", + Cell[15310, 581, 354, 14, 40, "Output", CellTags->"Explicit"], - Cell[15700, 600, 128, 4, 27, "Input", + Cell[15701, 600, 128, 4, 27, "Input", CellTags->"Explicit", CellID->1217375686], - Cell[15831, 606, 1762, 76, 43, "Output", + Cell[15832, 606, 1762, 76, 43, "Output", CellTags->"Explicit"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 20449, 770}, - {"Explicit", 20584, 774} + {"PrimaryExamplesSection", 20393, 769}, + {"Explicit", 20528, 773} } *) (*NotebookFileOutline @@ -821,61 +820,61 @@ Cell[3994, 112, 659, 17, 119, "Usage", Cell[CellGroupData[{ Cell[4678, 133, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->295221976], + CellID->698637071], Cell[CellGroupData[{ -Cell[5090, 152, 195, 6, 26, "ExampleSection", - CellID->962752738], +Cell[5090, 152, 196, 6, 26, "ExampleSection", + CellID->2104343128], Cell[CellGroupData[{ -Cell[5310, 162, 248, 7, 27, "Input", +Cell[5311, 162, 248, 7, 27, "Input", CellTags->"Explicit", CellID->672712555], -Cell[5561, 171, 1200, 53, 40, "Output", +Cell[5562, 171, 1200, 53, 40, "Output", CellTags->"Explicit"] }, Open ]], Cell[CellGroupData[{ -Cell[6798, 229, 128, 4, 27, "Input", +Cell[6799, 229, 128, 4, 27, "Input", CellTags->"Explicit", CellID->1603275034], -Cell[6929, 235, 2887, 118, 43, "Output", +Cell[6930, 235, 2887, 118, 43, "Output", CellTags->"Explicit"] }, Open ]], Cell[CellGroupData[{ -Cell[9853, 358, 202, 6, 27, "Input", +Cell[9854, 358, 202, 6, 27, "Input", CellTags->"Explicit", CellID->221852196], -Cell[10058, 366, 1020, 41, 56, "Output", +Cell[10059, 366, 1020, 41, 56, "Output", CellTags->"Explicit"] }, Open ]], Cell[CellGroupData[{ -Cell[11115, 412, 127, 4, 27, "Input", +Cell[11116, 412, 127, 4, 27, "Input", CellTags->"Explicit", CellID->441966106], -Cell[11245, 418, 3853, 151, 56, "Output", +Cell[11246, 418, 3853, 151, 83, "Output", CellTags->"Explicit"] }, Open ]], Cell[CellGroupData[{ -Cell[15135, 574, 171, 5, 27, "Input", +Cell[15136, 574, 171, 5, 27, "Input", CellTags->"Explicit", CellID->3454152], -Cell[15309, 581, 354, 14, 40, "Output", +Cell[15310, 581, 354, 14, 40, "Output", CellTags->"Explicit"] }, Open ]], Cell[CellGroupData[{ -Cell[15700, 600, 128, 4, 27, "Input", +Cell[15701, 600, 128, 4, 27, "Input", CellTags->"Explicit", CellID->1217375686], -Cell[15831, 606, 1762, 76, 43, "Output", +Cell[15832, 606, 1762, 76, 43, "Output", CellTags->"Explicit"] }, Open ]] }, Open ]], -Cell[17620, 686, 31, 0, 29, "SectionFooterSpacer"] +Cell[17621, 686, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[17688, 691, 270, 12, 31, "SeeAlsoSection", +Cell[17689, 691, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[17961, 705, 388, 13, 56, "SeeAlso"] +Cell[17962, 705, 388, 13, 56, "SeeAlso"] }, Open ]], -Cell[18364, 721, 23, 0, 70, "FooterCell"] +Cell[18365, 721, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitDiracIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitDiracIndex.nb index a1932ccb0..7c56b93f6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitDiracIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitDiracIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12203, 399] -NotebookOptionsPosition[ 9248, 311] -NotebookOutlinePosition[ 11370, 368] -CellTagsIndexPosition[ 11285, 363] +NotebookDataLength[ 12149, 398] +NotebookOptionsPosition[ 9249, 311] +NotebookOutlinePosition[ 11315, 367] +CellTagsIndexPosition[ 11230, 362] WindowTitle->ExplicitDiracIndex WindowFrame->Normal*) @@ -94,7 +94,7 @@ ExplicitDiracIndex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$83805], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$83925], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExplicitDiracIndex", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->632170420], + CellID->2002492117], Cell[CellGroupData[{ @@ -165,7 +165,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->904166094], + CellID->207999948], Cell[CellGroupData[{ @@ -311,8 +311,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ExplicitDiracIndex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -324,7 +324,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 21.085269}", + "built" -> "{2020, 6, 20, 19, 4, 42.161948}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -344,8 +344,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -355,14 +354,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5223, 142, 387, 15, 31, "PrimaryExamplesSection", + Cell[5223, 142, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->632170420]} + CellID->2002492117]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11142, 356} + {"PrimaryExamplesSection", 11086, 355} } *) (*NotebookFileOutline @@ -373,34 +372,34 @@ Cell[4453, 112, 295, 11, 45, "ObjectNameGrid"], Cell[4751, 125, 447, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5223, 142, 387, 15, 31, "PrimaryExamplesSection", +Cell[5223, 142, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->632170420], + CellID->2002492117], Cell[CellGroupData[{ -Cell[5635, 161, 195, 6, 26, "ExampleSection", - CellID->904166094], +Cell[5636, 161, 195, 6, 26, "ExampleSection", + CellID->207999948], Cell[CellGroupData[{ -Cell[5855, 171, 168, 5, 27, "Input", +Cell[5856, 171, 168, 5, 27, "Input", CellID->1567992074], -Cell[6026, 178, 627, 27, 38, "Output", +Cell[6027, 178, 627, 27, 38, "Output", CellID->1008305614] }, Open ]], Cell[CellGroupData[{ -Cell[6690, 210, 131, 4, 27, "Input", +Cell[6691, 210, 131, 4, 27, "Input", CellID->1377283560], -Cell[6824, 216, 418, 11, 69, "Output", +Cell[6825, 216, 418, 11, 69, "Output", CellID->1835465320] }, Open ]] }, Open ]], -Cell[7269, 231, 31, 0, 29, "SectionFooterSpacer"] +Cell[7270, 231, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7337, 236, 270, 12, 31, "SeeAlsoSection", +Cell[7338, 236, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7610, 250, 1596, 56, 71, "SeeAlso", +Cell[7611, 250, 1596, 56, 71, "SeeAlso", CellID->655647701] }, Open ]], -Cell[9221, 309, 23, 0, 41, "FooterCell"] +Cell[9222, 309, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitLorentzIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitLorentzIndex.nb index ca1032593..334d5918a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitLorentzIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitLorentzIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10503, 345] +NotebookDataLength[ 10446, 344] NotebookOptionsPosition[ 7041, 244] -NotebookOutlinePosition[ 9596, 313] -CellTagsIndexPosition[ 9474, 307] +NotebookOutlinePosition[ 9539, 312] +CellTagsIndexPosition[ 9417, 306] WindowTitle->ExplicitLorentzIndex WindowFrame->Normal*) @@ -81,7 +81,7 @@ ExplicitLorentzIndex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$84248], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$84368], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExplicitLorentzIndex", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1919722414], + CellID->1756857423], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1632785011], + CellID->1751230692], Cell[CellGroupData[{ @@ -244,8 +244,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{808, 840}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"ExplicitLorentzIndex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -257,7 +257,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 22.283664}", + "built" -> "{2020, 6, 20, 19, 4, 43.273329}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -277,8 +277,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -290,7 +289,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4475, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1919722414]}, + CellID->1756857423]}, "ExplicitLorentzIndex"->{ Cell[5109, 157, 242, 7, 27, "Input", CellTags->"ExplicitLorentzIndex", @@ -306,8 +305,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8948, 289}, - {"ExplicitLorentzIndex", 9096, 293} + {"PrimaryExamplesSection", 8891, 288}, + {"ExplicitLorentzIndex", 9039, 292} } *) (*NotebookFileOutline @@ -320,10 +319,10 @@ Cell[4039, 112, 411, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4475, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1919722414], + CellID->1756857423], Cell[CellGroupData[{ Cell[4888, 147, 196, 6, 26, "ExampleSection", - CellID->1632785011], + CellID->1751230692], Cell[CellGroupData[{ Cell[5109, 157, 242, 7, 27, "Input", CellTags->"ExplicitLorentzIndex", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitPartialD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitPartialD.nb index 815c4f5b3..9899ce579 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitPartialD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitPartialD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16817, 595] -NotebookOptionsPosition[ 11969, 445] -NotebookOutlinePosition[ 14843, 524] -CellTagsIndexPosition[ 14723, 518] +NotebookDataLength[ 16764, 594] +NotebookOptionsPosition[ 11970, 445] +NotebookOutlinePosition[ 14789, 523] +CellTagsIndexPosition[ 14669, 517] WindowTitle->ExplicitPartialD WindowFrame->Normal*) @@ -83,7 +83,7 @@ ExplicitPartialD.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$85151], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$85271], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExplicitPartialD", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1091708813], + CellID->1321116541], Cell[CellGroupData[{ @@ -162,7 +162,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->993902552], + CellID->1512002446], Cell[CellGroupData[{ @@ -446,7 +446,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ExplicitPartialD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -458,7 +458,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 24.804064}", + "built" -> "{2020, 6, 20, 19, 4, 45.293281}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -478,8 +478,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -491,34 +490,34 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4903, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1091708813]}, + CellID->1321116541]}, "ExplicitPartialD"->{ - Cell[6008, 189, 144, 4, 27, "Input", + Cell[6009, 189, 144, 4, 27, "Input", CellTags->"ExplicitPartialD", CellID->2001527654], - Cell[6155, 195, 610, 22, 56, "Output", + Cell[6156, 195, 610, 22, 56, "Output", CellTags->"ExplicitPartialD"], - Cell[8620, 303, 144, 4, 27, "Input", + Cell[8621, 303, 144, 4, 27, "Input", CellTags->"ExplicitPartialD", CellID->1791671183], - Cell[8767, 309, 630, 22, 56, "Output", + Cell[8768, 309, 630, 22, 56, "Output", CellTags->"ExplicitPartialD"], - Cell[9576, 343, 202, 7, 27, "Input", + Cell[9577, 343, 202, 7, 27, "Input", CellTags->"ExplicitPartialD", CellID->2120633580], - Cell[9781, 352, 393, 13, 44, "Output", + Cell[9782, 352, 393, 13, 44, "Output", CellTags->"ExplicitPartialD"], - Cell[10211, 370, 144, 4, 27, "Input", + Cell[10212, 370, 144, 4, 27, "Input", CellTags->"ExplicitPartialD", CellID->1962668305], - Cell[10358, 376, 609, 21, 48, "Output", + Cell[10359, 376, 609, 21, 48, "Output", CellTags->"ExplicitPartialD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13869, 490}, - {"ExplicitPartialD", 14013, 494} + {"PrimaryExamplesSection", 13815, 489}, + {"ExplicitPartialD", 13959, 493} } *) (*NotebookFileOutline @@ -531,72 +530,72 @@ Cell[4159, 114, 719, 21, 85, "Usage", Cell[CellGroupData[{ Cell[4903, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1091708813], + CellID->1321116541], Cell[CellGroupData[{ -Cell[5316, 158, 195, 6, 26, "ExampleSection", - CellID->993902552], +Cell[5316, 158, 196, 6, 26, "ExampleSection", + CellID->1512002446], Cell[CellGroupData[{ -Cell[5536, 168, 120, 3, 27, "Input"], -Cell[5659, 173, 312, 11, 45, "Output"] +Cell[5537, 168, 120, 3, 27, "Input"], +Cell[5660, 173, 312, 11, 45, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6008, 189, 144, 4, 27, "Input", +Cell[6009, 189, 144, 4, 27, "Input", CellTags->"ExplicitPartialD", CellID->2001527654], -Cell[6155, 195, 610, 22, 56, "Output", +Cell[6156, 195, 610, 22, 56, "Output", CellTags->"ExplicitPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[6802, 222, 105, 2, 9, "ExampleDelimiter"], +Cell[6803, 222, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[6932, 228, 98, 2, 27, "Input"], -Cell[7033, 232, 312, 11, 45, "Output"] +Cell[6933, 228, 98, 2, 27, "Input"], +Cell[7034, 232, 312, 11, 45, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[7382, 248, 92, 2, 27, "Input"], -Cell[7477, 252, 484, 18, 45, "Output"] +Cell[7383, 248, 92, 2, 27, "Input"], +Cell[7478, 252, 484, 18, 45, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[8010, 276, 105, 2, 9, "ExampleDelimiter"], +Cell[8011, 276, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[8140, 282, 118, 3, 27, "Input"], -Cell[8261, 287, 322, 11, 43, "Output"] +Cell[8141, 282, 118, 3, 27, "Input"], +Cell[8262, 287, 322, 11, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8620, 303, 144, 4, 27, "Input", +Cell[8621, 303, 144, 4, 27, "Input", CellTags->"ExplicitPartialD", CellID->1791671183], -Cell[8767, 309, 630, 22, 56, "Output", +Cell[8768, 309, 630, 22, 56, "Output", CellTags->"ExplicitPartialD"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[9446, 337, 105, 2, 9, "ExampleDelimiter"], +Cell[9447, 337, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[9576, 343, 202, 7, 27, "Input", +Cell[9577, 343, 202, 7, 27, "Input", CellTags->"ExplicitPartialD", CellID->2120633580], -Cell[9781, 352, 393, 13, 44, "Output", +Cell[9782, 352, 393, 13, 44, "Output", CellTags->"ExplicitPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[10211, 370, 144, 4, 27, "Input", +Cell[10212, 370, 144, 4, 27, "Input", CellTags->"ExplicitPartialD", CellID->1962668305], -Cell[10358, 376, 609, 21, 48, "Output", +Cell[10359, 376, 609, 21, 48, "Output", CellTags->"ExplicitPartialD"] }, Open ]] }, Open ]] }, Open ]], -Cell[11006, 402, 31, 0, 29, "SectionFooterSpacer"] +Cell[11007, 402, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11074, 407, 270, 12, 31, "SeeAlsoSection", +Cell[11075, 407, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11347, 421, 580, 19, 56, "SeeAlso"] +Cell[11348, 421, 580, 19, 56, "SeeAlso"] }, Open ]], -Cell[11942, 443, 23, 0, 41, "FooterCell"] +Cell[11943, 443, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitSUNFIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitSUNFIndex.nb index 53ea1d4c3..e295bee55 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitSUNFIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitSUNFIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10396, 350] +NotebookDataLength[ 10339, 349] NotebookOptionsPosition[ 7264, 256] -NotebookOutlinePosition[ 9414, 313] -CellTagsIndexPosition[ 9330, 308] +NotebookOutlinePosition[ 9357, 312] +CellTagsIndexPosition[ 9273, 307] WindowTitle->ExplicitSUNFIndex WindowFrame->Normal*) @@ -80,7 +80,7 @@ ExplicitSUNFIndex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$85596], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$85716], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExplicitSUNFIndex", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2097280005], + CellID->1199066774], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2137554488], + CellID->1961444539], Cell[CellGroupData[{ @@ -256,8 +256,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ExplicitSUNFIndex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -269,7 +269,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 25.990597}", + "built" -> "{2020, 6, 20, 19, 4, 46.384156}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -289,8 +289,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -302,12 +301,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4471, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2097280005]} + CellID->1199066774]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9186, 301} + {"PrimaryExamplesSection", 9129, 300} } *) (*NotebookFileOutline @@ -320,10 +319,10 @@ Cell[4015, 111, 431, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4471, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2097280005], + CellID->1199066774], Cell[CellGroupData[{ Cell[4884, 146, 196, 6, 26, "ExampleSection", - CellID->2137554488], + CellID->1961444539], Cell[CellGroupData[{ Cell[5105, 156, 113, 3, 27, "Input", CellID->266217332], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitSUNIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitSUNIndex.nb index e482ac7c3..7d56009d7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitSUNIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExplicitSUNIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9716, 314] -NotebookOptionsPosition[ 6652, 225] -NotebookOutlinePosition[ 9017, 289] -CellTagsIndexPosition[ 8899, 283] +NotebookDataLength[ 9721, 314] +NotebookOptionsPosition[ 6653, 225] +NotebookOutlinePosition[ 9021, 289] +CellTagsIndexPosition[ 8903, 283] WindowTitle->ExplicitSUNIndex WindowFrame->Normal*) @@ -84,7 +84,7 @@ ExplicitSUNIndex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$86035], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$86155], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExplicitSUNIndex", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1221262894], + CellID->1245996671], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->482876599], + CellID->1039449958], Cell[CellGroupData[{ @@ -226,7 +226,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ExplicitSUNIndex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -238,7 +238,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 27.182038}", + "built" -> "{2020, 6, 20, 19, 4, 47.382654}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -271,19 +271,19 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4629, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1221262894]}, + CellID->1245996671]}, "ExplicitSUNIndex"->{ - Cell[5262, 160, 143, 4, 27, "Input", + Cell[5263, 160, 143, 4, 27, "Input", CellTags->"ExplicitSUNIndex", CellID->902504379], - Cell[5408, 166, 197, 6, 35, "Output", + Cell[5409, 166, 197, 6, 35, "Output", CellTags->"ExplicitSUNIndex"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8562, 270}, - {"ExplicitSUNIndex", 8706, 274} + {"PrimaryExamplesSection", 8566, 270}, + {"ExplicitSUNIndex", 8710, 274} } *) (*NotebookFileOutline @@ -296,26 +296,26 @@ Cell[4177, 115, 427, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4629, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1221262894], + CellID->1245996671], Cell[CellGroupData[{ -Cell[5042, 150, 195, 6, 26, "ExampleSection", - CellID->482876599], +Cell[5042, 150, 196, 6, 26, "ExampleSection", + CellID->1039449958], Cell[CellGroupData[{ -Cell[5262, 160, 143, 4, 27, "Input", +Cell[5263, 160, 143, 4, 27, "Input", CellTags->"ExplicitSUNIndex", CellID->902504379], -Cell[5408, 166, 197, 6, 35, "Output", +Cell[5409, 166, 197, 6, 35, "Output", CellTags->"ExplicitSUNIndex"] }, Open ]] }, Open ]], -Cell[5632, 176, 31, 0, 29, "SectionFooterSpacer"] +Cell[5633, 176, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[5700, 181, 270, 12, 31, "SeeAlsoSection", +Cell[5701, 181, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[5973, 195, 637, 25, 56, "SeeAlso"] +Cell[5974, 195, 637, 25, 56, "SeeAlso"] }, Open ]], -Cell[6625, 223, 23, 0, 41, "FooterCell"] +Cell[6626, 223, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExtraFactor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExtraFactor.nb index 29acc2f90..df4386063 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExtraFactor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExtraFactor.nb @@ -79,7 +79,7 @@ ExtraFactor.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$86471], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$86591], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExtraFactor", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 28.222579}", + "built" -> "{2020, 6, 20, 19, 4, 48.377993}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExtraVariables.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExtraVariables.nb index 726a58da7..269524abc 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExtraVariables.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ExtraVariables.nb @@ -80,7 +80,7 @@ ExtraVariables.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$86914], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$87034], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ExtraVariables", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 29.244505}", + "built" -> "{2020, 6, 20, 19, 4, 49.180678}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FAD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FAD.nb index edeecdb4f..55a3c7307 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FAD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FAD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18903, 657] -NotebookOptionsPosition[ 14365, 514] -NotebookOutlinePosition[ 17262, 595] -CellTagsIndexPosition[ 17155, 589] +NotebookDataLength[ 18844, 656] +NotebookOptionsPosition[ 14364, 514] +NotebookOutlinePosition[ 17204, 594] +CellTagsIndexPosition[ 17097, 588] WindowTitle->FAD WindowFrame->Normal*) @@ -87,7 +87,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$89576], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$89696], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FAD", ".html"]], None}]}]}, @@ -160,7 +160,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1808684290], + CellID->697721176], Cell["", "SectionHeaderSpacer"], @@ -174,7 +174,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"Dimension", "\[Rule]", "D"}], "}"}], TraditionalForm]], "Output", - ImageSize->{112, 14}, + ImageSize->{112, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[751]="] @@ -199,7 +199,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1958456365], + CellID->2042464388], Cell[CellGroupData[{ @@ -209,7 +209,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1301223188], + CellID->1618008321], Cell[CellGroupData[{ @@ -515,7 +515,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FAD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -527,7 +527,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 35.478507}", + "built" -> "{2020, 6, 20, 19, 4, 54.932299}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -549,8 +549,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -560,36 +559,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6157, 186, 388, 15, 31, "PrimaryExamplesSection", + Cell[6156, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1958456365]}, + CellID->2042464388]}, "FAD"->{ - Cell[6791, 215, 165, 6, 27, "Input", + Cell[6790, 215, 165, 6, 27, "Input", CellTags->"FAD", CellID->1136569018], - Cell[6959, 223, 1096, 40, 61, "Output", + Cell[6958, 223, 1096, 40, 61, "Output", CellTags->"FAD"], - Cell[8092, 268, 216, 8, 27, "Input", + Cell[8091, 268, 216, 8, 27, "Input", CellTags->"FAD", CellID->1430394635], - Cell[8311, 278, 1303, 45, 64, "Output", + Cell[8310, 278, 1303, 45, 64, "Output", CellTags->"FAD"], - Cell[11348, 390, 234, 9, 27, "Input", + Cell[11347, 390, 234, 9, 27, "Input", CellTags->"FAD", CellID->2024009960], - Cell[11585, 401, 613, 19, 69, "Output", + Cell[11584, 401, 613, 19, 69, "Output", CellTags->"FAD"], - Cell[12235, 425, 410, 14, 45, "Input", + Cell[12234, 425, 410, 14, 45, "Input", CellTags->"FAD", CellID->844291899], - Cell[12648, 441, 247, 8, 51, "Output", + Cell[12647, 441, 247, 8, 51, "Output", CellTags->"FAD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16415, 561}, - {"FAD", 16546, 565} + {"PrimaryExamplesSection", 16357, 560}, + {"FAD", 16488, 564} } *) (*NotebookFileOutline @@ -601,64 +600,64 @@ Cell[CellGroupData[{ Cell[4358, 120, 595, 14, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4978, 138, 739, 24, 31, "NotesSection", +Cell[4978, 138, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1808684290], -Cell[5720, 164, 31, 0, 70, "SectionHeaderSpacer"], + CellID->697721176], +Cell[5719, 164, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5776, 168, 87, 2, 70, "Input"], -Cell[5866, 172, 230, 7, 35, "Output"] +Cell[5775, 168, 87, 2, 70, "Input"], +Cell[5865, 172, 230, 7, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6157, 186, 388, 15, 31, "PrimaryExamplesSection", +Cell[6156, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1958456365], + CellID->2042464388], Cell[CellGroupData[{ -Cell[6570, 205, 196, 6, 26, "ExampleSection", - CellID->1301223188], +Cell[6569, 205, 196, 6, 26, "ExampleSection", + CellID->1618008321], Cell[CellGroupData[{ -Cell[6791, 215, 165, 6, 27, "Input", +Cell[6790, 215, 165, 6, 27, "Input", CellTags->"FAD", CellID->1136569018], -Cell[6959, 223, 1096, 40, 61, "Output", +Cell[6958, 223, 1096, 40, 61, "Output", CellTags->"FAD"] }, Open ]], Cell[CellGroupData[{ -Cell[8092, 268, 216, 8, 27, "Input", +Cell[8091, 268, 216, 8, 27, "Input", CellTags->"FAD", CellID->1430394635], -Cell[8311, 278, 1303, 45, 64, "Output", +Cell[8310, 278, 1303, 45, 64, "Output", CellTags->"FAD"] }, Open ]], Cell[CellGroupData[{ -Cell[9651, 328, 246, 8, 27, "Input"], -Cell[9900, 338, 1411, 47, 64, "Output"] +Cell[9650, 328, 246, 8, 27, "Input"], +Cell[9899, 338, 1411, 47, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11348, 390, 234, 9, 27, "Input", +Cell[11347, 390, 234, 9, 27, "Input", CellTags->"FAD", CellID->2024009960], -Cell[11585, 401, 613, 19, 69, "Output", +Cell[11584, 401, 613, 19, 69, "Output", CellTags->"FAD"] }, Open ]], Cell[CellGroupData[{ -Cell[12235, 425, 410, 14, 45, "Input", +Cell[12234, 425, 410, 14, 45, "Input", CellTags->"FAD", CellID->844291899], -Cell[12648, 441, 247, 8, 51, "Output", +Cell[12647, 441, 247, 8, 51, "Output", CellTags->"FAD"] }, Open ]] }, Open ]], -Cell[12922, 453, 31, 0, 29, "SectionFooterSpacer"] +Cell[12921, 453, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12990, 458, 270, 12, 31, "SeeAlsoSection", +Cell[12989, 458, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13263, 472, 1060, 37, 56, "SeeAlso"] +Cell[13262, 472, 1060, 37, 56, "SeeAlso"] }, Open ]], -Cell[14338, 512, 23, 0, 41, "FooterCell"] +Cell[14337, 512, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FAPatch.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FAPatch.nb index 63478b6a9..baafd32f1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FAPatch.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FAPatch.nb @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$90019], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$90139], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FAPatch", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 36.709221}", + "built" -> "{2020, 6, 20, 19, 4, 55.997376}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC.nb index 42743fbf0..854f3bc92 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11235, 385] +NotebookDataLength[ 11177, 384] NotebookOptionsPosition[ 7721, 273] -NotebookOutlinePosition[ 10249, 347] -CellTagsIndexPosition[ 10145, 341] +NotebookOutlinePosition[ 10191, 346] +CellTagsIndexPosition[ 10087, 340] WindowTitle->FC WindowFrame->Normal*) @@ -85,7 +85,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$117099], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$117671], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FC", ".html"]], None}]}]}, @@ -145,7 +145,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->647062051], + CellID->234732789], Cell[CellGroupData[{ @@ -155,7 +155,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2062751557], + CellID->2054142962], Cell[BoxData["FI"], "Input", CellTags->"FC", @@ -274,7 +274,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FC", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -286,7 +286,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 52.104695}", + "built" -> "{2020, 6, 20, 19, 6, 3.523708}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -305,8 +305,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -318,7 +317,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4566, 132, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->647062051]}, + CellID->234732789]}, "FC"->{ Cell[5177, 159, 88, 3, 27, "Input", CellTags->"FC", @@ -340,8 +339,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9547, 317}, - {"FC", 9676, 321} + {"PrimaryExamplesSection", 9489, 316}, + {"FC", 9618, 320} } *) (*NotebookFileOutline @@ -354,10 +353,10 @@ Cell[4161, 116, 380, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4566, 132, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->647062051], + CellID->234732789], Cell[CellGroupData[{ Cell[4978, 151, 196, 6, 26, "ExampleSection", - CellID->2062751557], + CellID->2054142962], Cell[5177, 159, 88, 3, 27, "Input", CellTags->"FC", CellID->907505833], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC2RHI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC2RHI.nb index 338faa976..a649d1c8f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC2RHI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC2RHI.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9243, 297] -NotebookOptionsPosition[ 6382, 213] -NotebookOutlinePosition[ 8633, 274] -CellTagsIndexPosition[ 8565, 269] +NotebookDataLength[ 9187, 296] +NotebookOptionsPosition[ 6381, 213] +NotebookOutlinePosition[ 8578, 273] +CellTagsIndexPosition[ 8510, 268] WindowTitle->FC2RHI WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$90464], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$90584], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FC2RHI", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2033600335], + CellID->482627959], Cell["", "SectionHeaderSpacer"], @@ -174,7 +174,7 @@ Cell[BoxData[ RowBox[{"Dimension", "\[Rule]", "D"}], ",", RowBox[{"IncludePair", "\[Rule]", "True"}], ",", RowBox[{"Do", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{306, 14}, + ImageSize->{306, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"FC2RHI", @@ -214,7 +214,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FC2RHI", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -226,7 +226,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 37.608336}", + "built" -> "{2020, 6, 20, 19, 4, 56.804081}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -248,8 +248,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -259,16 +258,16 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "FC2RHI"->{ - Cell[5335, 163, 131, 4, 70, "Input", + Cell[5334, 163, 131, 4, 70, "Input", CellTags->"FC2RHI", CellID->744239659], - Cell[5469, 169, 365, 11, 35, "Output", + Cell[5468, 169, 365, 11, 37, "Output", CellTags->"FC2RHI"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"FC2RHI", 8391, 260} + {"FC2RHI", 8336, 259} } *) (*NotebookFileOutline @@ -280,25 +279,25 @@ Cell[CellGroupData[{ Cell[3871, 112, 641, 17, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4537, 133, 739, 24, 31, "NotesSection", +Cell[4537, 133, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2033600335], -Cell[5279, 159, 31, 0, 70, "SectionHeaderSpacer"], + CellID->482627959], +Cell[5278, 159, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5335, 163, 131, 4, 70, "Input", +Cell[5334, 163, 131, 4, 70, "Input", CellTags->"FC2RHI", CellID->744239659], -Cell[5469, 169, 365, 11, 35, "Output", +Cell[5468, 169, 365, 11, 37, "Output", CellTags->"FC2RHI"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5895, 187, 270, 12, 31, "SeeAlsoSection", +Cell[5894, 187, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6168, 201, 172, 7, 56, "SeeAlso"] +Cell[6167, 201, 172, 7, 56, "SeeAlso"] }, Open ]], -Cell[6355, 211, 23, 0, 41, "FooterCell"] +Cell[6354, 211, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC2TLI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC2TLI.nb index d8a3b1baa..04e5c25f5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC2TLI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FC2TLI.nb @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$90903], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$91023], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FC2TLI", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->859312995], + CellID->425804316], Cell["", "SectionHeaderSpacer"], @@ -173,7 +173,7 @@ Cell[BoxData[ RowBox[{"Dimension", "\[Rule]", "D"}], ",", RowBox[{"IncludePair", "\[Rule]", "True"}], ",", RowBox[{"Do", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{306, 14}, + ImageSize->{306, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"FC2TLI", @@ -225,7 +225,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 38.808461}", + "built" -> "{2020, 6, 20, 19, 4, 57.797573}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -256,10 +256,10 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "FC2TLI"->{ - Cell[5284, 162, 131, 4, 27, "Input", + Cell[5284, 162, 131, 4, 70, "Input", CellTags->"FC2TLI", CellID->145553931], - Cell[5418, 168, 365, 11, 35, "Output", + Cell[5418, 168, 365, 11, 37, "Output", CellTags->"FC2TLI"]} } *) @@ -279,13 +279,13 @@ Cell[3871, 112, 591, 16, 102, "Usage", Cell[CellGroupData[{ Cell[4487, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->859312995], -Cell[5228, 158, 31, 0, 14, "SectionHeaderSpacer"], + CellID->425804316], +Cell[5228, 158, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5284, 162, 131, 4, 27, "Input", +Cell[5284, 162, 131, 4, 70, "Input", CellTags->"FC2TLI", CellID->145553931], -Cell[5418, 168, 365, 11, 35, "Output", +Cell[5418, 168, 365, 11, 37, "Output", CellTags->"FC2TLI"] }, Open ]] }, Closed]] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAbbreviate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAbbreviate.nb index e89a77f6c..8dbce357e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAbbreviate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAbbreviate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21768, 775] +NotebookDataLength[ 21709, 774] NotebookOptionsPosition[ 17387, 636] -NotebookOutlinePosition[ 19590, 694] -CellTagsIndexPosition[ 19505, 689] +NotebookOutlinePosition[ 19531, 693] +CellTagsIndexPosition[ 19446, 688] WindowTitle->FCAbbreviate WindowFrame->Normal*) @@ -81,7 +81,7 @@ FCAbbreviate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$91358], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$91478], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCAbbreviate", ".html"]], None}]}]}, @@ -163,7 +163,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->688775925], + CellID->2127155690], Cell["", "SectionHeaderSpacer"], @@ -204,7 +204,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->61453323], + CellID->363152497], Cell[CellGroupData[{ @@ -214,7 +214,7 @@ Cell[TextData[{ Cell["(3)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1020454811], + CellID->62154981], Cell[CellGroupData[{ @@ -261,7 +261,7 @@ Cell[BoxData[ RowBox[{"a", "\[Rule]", "var1"}], ",", RowBox[{"b", "\[Rule]", "var2"}]}], "}"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{190, 14}, + ImageSize->{190, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[2]=", @@ -637,7 +637,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"FCAbbreviate", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -649,7 +649,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 40.033876}", + "built" -> "{2020, 6, 20, 19, 4, 58.834394}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -670,8 +670,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -681,14 +680,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6154, 191, 386, 15, 31, "PrimaryExamplesSection", + Cell[6155, 191, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->61453323]} + CellID->363152497]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 19363, 682} + {"PrimaryExamplesSection", 19303, 681} } *) (*NotebookFileOutline @@ -700,25 +699,25 @@ Cell[CellGroupData[{ Cell[4013, 114, 795, 23, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4833, 141, 738, 24, 31, "NotesSection", +Cell[4833, 141, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->688775925], -Cell[5574, 167, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5608, 169, 82, 1, 70, "Notes", + CellID->2127155690], +Cell[5575, 167, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5609, 169, 82, 1, 70, "Notes", CellID->1067943069], -Cell[5693, 172, 250, 7, 70, "Notes", +Cell[5694, 172, 250, 7, 70, "Notes", CellID->1817456068], -Cell[5946, 181, 159, 4, 70, "Notes", +Cell[5947, 181, 159, 4, 70, "Notes", CellID->681548532] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6154, 191, 386, 15, 31, "PrimaryExamplesSection", +Cell[6155, 191, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->61453323], + CellID->363152497], Cell[CellGroupData[{ -Cell[6565, 210, 196, 6, 26, "ExampleSection", - CellID->1020454811], +Cell[6567, 210, 194, 6, 26, "ExampleSection", + CellID->62154981], Cell[CellGroupData[{ Cell[6786, 220, 165, 6, 27, "Input", CellID->1146726217], @@ -728,7 +727,7 @@ Cell[6954, 228, 301, 11, 39, "Output", Cell[CellGroupData[{ Cell[7292, 244, 179, 6, 27, "Input", CellID->629151375], -Cell[7474, 252, 411, 15, 35, "Output", +Cell[7474, 252, 411, 15, 37, "Output", CellID->1275389888] }, Open ]], Cell[CellGroupData[{ @@ -753,30 +752,30 @@ Cell[11315, 402, 125, 3, 9, "ExampleDelimiter", Cell[11443, 407, 975, 36, 130, "Input", CellID->1470202347], Cell[CellGroupData[{ -Cell[12443, 447, 297, 9, 27, "Input", +Cell[12443, 447, 297, 9, 70, "Input", CellID->259423854], Cell[12743, 458, 2149, 74, 59, "Output", CellID->133229952] }, Open ]], Cell[CellGroupData[{ -Cell[14929, 537, 273, 8, 27, "Input", +Cell[14929, 537, 273, 8, 70, "Input", CellID->1709010853], Cell[15205, 547, 1279, 41, 96, "Output", CellID->392823810] }, Open ]], -Cell[16499, 591, 112, 3, 27, "Input", +Cell[16499, 591, 112, 3, 70, "Input", CellID->982517436] }, Open ]] }, Open ]], -Cell[16638, 598, 31, 0, 29, "SectionFooterSpacer"] +Cell[16638, 598, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[16706, 603, 270, 12, 31, "SeeAlsoSection", +Cell[16706, 603, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[16979, 617, 366, 14, 56, "SeeAlso", +Cell[16979, 617, 366, 14, 70, "SeeAlso", CellID->121601550] }, Open ]], -Cell[17360, 634, 23, 0, 41, "FooterCell"] +Cell[17360, 634, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAntiSymmetrize.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAntiSymmetrize.nb index 3babfa63c..755928d17 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAntiSymmetrize.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAntiSymmetrize.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10881, 359] -NotebookOptionsPosition[ 7477, 258] -NotebookOutlinePosition[ 10000, 327] -CellTagsIndexPosition[ 9884, 321] +NotebookDataLength[ 10827, 358] +NotebookOptionsPosition[ 7478, 258] +NotebookOutlinePosition[ 9945, 326] +CellTagsIndexPosition[ 9829, 320] WindowTitle->FCAntiSymmetrize WindowFrame->Normal*) @@ -79,7 +79,7 @@ FCAntiSymmetrize.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$91801], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$91921], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCAntiSymmetrize", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->250134143], + CellID->1955327478], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->641278620], + CellID->131622212], Cell[CellGroupData[{ @@ -271,7 +271,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 41.234175}", + "built" -> "{2020, 6, 20, 19, 4, 59.809758}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -291,8 +291,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -302,26 +301,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4493, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4493, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->250134143]}, + CellID->1955327478]}, "AntiSymmetrize"->{ - Cell[5125, 159, 266, 9, 27, "Input", + Cell[5126, 159, 266, 9, 27, "Input", CellTags->"AntiSymmetrize", CellID->74722925], - Cell[5394, 170, 406, 14, 56, "Output", + Cell[5395, 170, 406, 14, 56, "Output", CellTags->"AntiSymmetrize"], - Cell[5837, 189, 287, 9, 27, "Input", + Cell[5838, 189, 287, 9, 27, "Input", CellTags->"AntiSymmetrize", CellID->685327648], - Cell[6127, 200, 741, 23, 56, "Output", + Cell[6128, 200, 741, 23, 56, "Output", CellTags->"AntiSymmetrize"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9388, 303}, - {"AntiSymmetrize", 9529, 307} + {"PrimaryExamplesSection", 9332, 302}, + {"AntiSymmetrize", 9474, 306} } *) (*NotebookFileOutline @@ -332,35 +331,35 @@ Cell[3633, 97, 293, 11, 45, "ObjectNameGrid"], Cell[3929, 110, 539, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4493, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4493, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->250134143], + CellID->1955327478], Cell[CellGroupData[{ -Cell[4905, 149, 195, 6, 26, "ExampleSection", - CellID->641278620], +Cell[4906, 149, 195, 6, 26, "ExampleSection", + CellID->131622212], Cell[CellGroupData[{ -Cell[5125, 159, 266, 9, 27, "Input", +Cell[5126, 159, 266, 9, 27, "Input", CellTags->"AntiSymmetrize", CellID->74722925], -Cell[5394, 170, 406, 14, 56, "Output", +Cell[5395, 170, 406, 14, 56, "Output", CellTags->"AntiSymmetrize"] }, Open ]], Cell[CellGroupData[{ -Cell[5837, 189, 287, 9, 27, "Input", +Cell[5838, 189, 287, 9, 27, "Input", CellTags->"AntiSymmetrize", CellID->685327648], -Cell[6127, 200, 741, 23, 56, "Output", +Cell[6128, 200, 741, 23, 56, "Output", CellTags->"AntiSymmetrize"] }, Open ]] }, Open ]], -Cell[6895, 227, 31, 0, 29, "SectionFooterSpacer"] +Cell[6896, 227, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6963, 232, 270, 12, 31, "SeeAlsoSection", +Cell[6964, 232, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7236, 246, 199, 7, 56, "SeeAlso"] +Cell[7237, 246, 199, 7, 56, "SeeAlso"] }, Open ]], -Cell[7450, 256, 23, 0, 41, "FooterCell"] +Cell[7451, 256, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCApart.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCApart.nb index 7dfda3eee..c8651f2fa 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCApart.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCApart.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 52455, 1671] -NotebookOptionsPosition[ 48367, 1552] -NotebookOutlinePosition[ 50921, 1617] -CellTagsIndexPosition[ 50799, 1611] +NotebookDataLength[ 52468, 1671] +NotebookOptionsPosition[ 48383, 1552] +NotebookOutlinePosition[ 50934, 1617] +CellTagsIndexPosition[ 50812, 1611] WindowTitle->FCApart WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$92237], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$92357], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCApart", ".html"]], None}]}]}, @@ -158,7 +158,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1559637087], + CellID->1396847414], Cell["", "SectionHeaderSpacer"], @@ -194,7 +194,7 @@ Cell[BoxData[ RowBox[{"3", ",", "4", ",", "D", ",", RowBox[{"D", "-", "1"}]}], "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{497, 72}, + ImageSize->{497, 73}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[763]="] @@ -219,7 +219,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->758119555], + CellID->1103987637], Cell[CellGroupData[{ @@ -229,7 +229,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1660464911], + CellID->787614274], Cell[CellGroupData[{ @@ -414,79 +414,79 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJzt3XtQVNcdB3Bs/0jjOKPUccbGkBQEQYkQdaJYtAYfsfHVkaYtWsgU46MG -RKNtrKgZa8ZJlVHRUWsQMiUo0QaN0UZj4qhBUcEXiW8QVJRXBHfZhX2yS2HL -GI27e8+5j3PPvXw/M83QTPbe8zu/s/fe3cvlGzxrYfzcnwQEBCz5Wfs/4pOX -xi1enLzsd73a/8/v05bMn5c2Z/braX+dM2/O4phZP23/l0nt/9veLSCg4+c2 -AADQFJexeP3cKbEDg1+eufVqi5vZa4ExTprFyTBAX6y3d350ocnVZr+949f9 -Jx8zsHotMMZJszgZBuiMu9XS6jkptlxKi51dYmb1WmCMk2ZxMgzQqZbL6+Zk -VdiYvxYY46RZnAwD9MRtvpKfXdjQyvq1wJgszXJbyvPSxg7o0yMweFRKbpmF -/jsurBmQndt698jeb+odbW2u5rvlJqrFJeW1wJhMzbJc27Bw69l6u6Px/NZp -fXtGryu3qzEMgMc47ucnhYeER7Yb9NLoFVcsjF4LjFE0q7X+4LwFJSYf26k7 -frS288jVUpoa0m/qqSZlhgHwuFbD2X//7Y248X/fsDplcuTPew+etbfWSbmF -c7tXzHxt0qqN774W+sLEg9+7FBoqSCG90Z3buf/xhCkktxLN55IHjtx+1+F9 -MFgzICt345HfPBe66OiD1jbXg/9O7dNrxO5aulXlfnj09ede/POe2+bGm1dr -bfitHz5Jb7QH4XHMbSh8e9ySU0YfqwFrBuRlPPnH4EErr1k7fm6+OC/4+enf -GOm2YDqT1D/yvetWJUYHspHWaGfNp7MmjukwMiKwd3Ss58dJqUXeD1Quw+kP -3sm54ftbfqwZkJW5ZFb/8EXfeb6JsF5fNXjAbJ/nUB+aL/wlLGLxd/gug2/S -G/1/wtdjbkt5/tqcb01+to41A7JqKU0bEJLs+Y1DZ/XumaMXfEl7w9tyeUlE -2NzzzYoMD+QivdGdhI5j9nsHNmaVGD2fWF3GK/sP1zx9xxJrBmRlvbZ8UN/h -f1q8JnNzxj/SNx//nu6bX1fzzS/XT+3bo3/qvitmfFXLMYmNfozf41jrg0Pz -w5/tFtCpW/eojFs/OoxhzYDc7OX/jPpl/HEDvmbVOTQa9Mtxe8vQFyYeasDq -1jk0GnTKbb138qO3gnv0/e2HJ2tw31u/0GgAAADoYvw+tgPahuZCF0H82A5o -j/6aOx66pMrKSv8Lg2Spq10EeCdLcwG0i+6xHdAUNBe6GpyydQzNhS4CS13H -0FzoIrDUdQzN9UWXgX16KornWngemyZgAmWiy8A+PRXFcy08j00TMIFy0WVg -n56K4rkWnsemCZhAuekysE9PRfFcC89j0wRMYFubs7YgYUhisZRnFcgC++zV -x/L2XWvm60O8q+lSQX7RAy9/zEp7RUmtRYSuvXhYUqG5WuKs2Tt7VJ+gBPFL -kSywz1n3+aI3d3B5yrBczUxcdrTxiYFrtSjxtYiBxcMU2+ZqieN+wfLMLzKG -hopeimSBfa6Gw4kxKZJO2wpyPzyWOGJ+UdOjk72GixJZixh6XjxKPE8tfZsM -m6sljqo96Vk3mm5vGya0FF3mywUb12fvys9Zl/KHhDfSiuj+LmdrzSdjImac -EWqhxL142S9h4qH74deTI6YcaeS/KOHYRFG1iMDb4hHYCGX2JeHvWVGVJrhN -fpqrJfY7O9Nzyq1tjjsCS9H18MS7Y6f961bHZb2jctPLz48/QJk6ai5OCB26 -udJroKl8e/GCNPHQen1lVCRl+o06RQnHJoqphRpni0cYZfYlyXGMtjSCnCY+ -mqsltorc9NxKTwsElqL5fFpEeOoFTzRMa3Xer4JG766l/BhuOBEX9Epetb9X -ke7lhydeH+PziVfSxEN7xYYhoTOLqe5bq1OUcGyimFoocbR4SKeObCXQPE9N -31zBbXLRXE2xlWW8Gj042mNQUPdneoVFxS0s9RZj1Xw++cV+8UVNHT+76vfF -BQ3PuUcbVWM6HR8ybNsdP6dUOfbyNOLEQ9uN1VEDU0tbaDauSlEEsYliaqHD -2+IhQJt9KXztRF+a4Da5aK5mOauyh4f5PqU2HhkT2Gv0ro7zoa3sw9H9hmwi -vMRv/7Rf8NklY8cpyl6xfljkAn+zL3ov/pAnHprOzgiPza8RvlJQuSiS2ETi -WuTAxeIRRp19KXwcoy9NaJvcNVdbBJais27/W4MDe/afMHfVuhUjfvHSmpuE -t7+Np5LCw5MKPac9W9mamNjtd303WvRe/CBPPLTdXBMzLruK4EpBxaIIYxPJ -a5EDF4tHEH32pfBxjL40f9vksrk61XQ6MWTgUnH3dl2GwqXT15K8VspenkCc -eOg2lSyPf/+imfomkApFCRFdi9LYLB7vFM6+RHM1xXxubmhYyiXR1/e2qoOZ -WcfrBE6rUvfyCGnioa3q0JZNX9WKPNszLkpwNFJqURKbxeOdwtmXaK5muC13 -z/xnRWxgj4j3ThgkfDZ32xsa7T6Xk1x7oUo8dFnrDb6HRLQzRkUJk16LEtgs -Hl8vUjT7Es0FAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA0BLkaLOBeQZQDHK0 -2cA8AygHOdpsYJ4BlIccbTYwzwAKQY42G5hnAIUgR5sNzDOAUpCjzQbmmR2p -cdWCIc6gBtoEcJAC7wJ1kWY6WysLNmWdavR2WSwc4gxqoEwAB0nwLlATcaZz -9a6JQRHzL3rLBhQOcQY1kGbBgxzwLlCRHHHVBCHOoALaBHCQAu8CNckQ2E0S -4gzsUSeAgwR4F6hKYmA3YYgzsEefAA4i4V3AEWaZzsCCwgngAFxilekMTCic -AA7AHZaZzqA8ZRPAAQAAABTXWn9w3oISk9rDAAAQrfX+xxOm4A/eAXQaD1yq -rKz00zW5jmNqV6kl/juCCZeLLPMMPHPWfDpr4pgOIyMCe0fHen6clFr0o1+B -/+E/e8zT/xlIh6kGEA2fKwFA63AcAwCtw3EMQHbIv5NI0xOo6cH7wnNRPI+N -Fk+1IP9OIk1PoKYH7wvPRfE8Nlpc1YL8O4k0PYGaHrwvPBfF89hocVkL8u8k -0vQEanrwvvBcFM9joyWxFrelPC9t7IA+PQKDR6XkllkkfD4ly7+zVx/L23et -Wduf6aVwNV0qyC964OUPbakXIOisLUgYklgs5TEnDXdfhY50yQlXcJ4t1zYs -3Hq23u5oPL91Wt+e0evK7eI2RJZ/56z7fNGbO3RyBhHPcjUzcdnRJ9NQVAwQ -dNbsnT2qT1CC+LeV5rvPtiNdd8IVmmdH3fGjtZ1HrpbS1JB+U081iRkeWf6d -q+FwYkyKpJMQNSWep5a+TffDY4kj5hc1PTpNqhgg6LhfsDzzi4yhoaLfVvx2 -nxzDjnTpCVd+ns3nkgeO3H7Xzx++l5ogWfPJmIgZZ6TNK23cIeHvWVGVJrhN -4ZRA98OvJ0dMOdKo+vW+o2pPetaNptvbhgm9rdh0X+JevOyXcMGw6oi+J1z1 -le82FL49bomfqBrSBEnfzMUJoUM3UyeE/HigdHGHJMcx2tKEtymcEmi9vjIq -UvXgGvudnek55dY2xx2BtxWb7kvfixekC4ZJR3Q/4equfJfh9Afv5Nzw8y0/ -aYKkH4YTcUGv5FX7+ixP+LwtWdwh4fPUVKVRbFM4JdBesWFI6MxiVW8z2ypy -03MrPWtY4G2lePep9kL3aDZpPiaDjnSBCVdx5bst5flrc741+bvSkyNB0nQ6 -PmTYtjvSrsdo4w6Fr53oSxPcJkFKoO3G6qiBqaVqJg3YyjJejR4c7TEoqPsz -vcKi4haWessEY9N9OfbyNOIFo3xHusCEq7fy7fcObMwqMXquJl3GK/sP13i7 -Yyk6QbL9A3PBZ5eMHUd5e8X6YZELpBVAHXcofByjL01omyQpgaazM8Jj82s4 -CRpwVmUPD/N9ecCm+zKklD6NfMEw7YhOJ1ytld/64ND88Ge7BXTq1j0q45bX -X7wQnSBpPJUUHp5U6DkF2srWxMT6vZMghD7uUPg4Rl+av20SpgTabq6JGZdd -xUtao8Dbik33JaaUekW+YNh2RIcTrrGVLyVB0mUoXDp9rfhbqwrHHTILx3Sb -SpbHv3/RrPrdSmpsui9bI4gXDLcd0diEC+FmnqUmSNqqDmZmHa8TdU2mcNwh -q3BMW9WhLZu+qpX+mYk9Nt2XrRGkC4bfjmhswgVHw8M8y5Ug6bY3NNppj0XK -xh2yDMd0WesN1OWrj0335WsExYLhsyNam3BhfM4zAAAAAPjzPxjLqso= - "], {{0, 93}, { - 408, 0}}, {0, 255}, +1:eJzt3XtQVNcdB3Bs/0jjOKPUccbEkBQEQYkQZaJYtAY1sfGRTmjSooVMIT5q +QDTaxgZNxppxUmVUdKI1RDI1GKINxiQ2Gg0jSkQFTSCJT5Cn8lJhFxb2vUth +yyQm7u495z7OPffy/cw0QzPZe8/v/M7ee3fv7n6DU1ckLPlZQEDA6l/0/iMh +ZU38qlUpr/5+WO//eT5j9bKlGYsXPZ3x18VLF6+KTf15779M7v3f7kEBAX1/ +9wAAgKa4jKVblsyLGxv82MKdl7rdzB4LjHHSLE6GAfpiqd337lcdrh5b7Tu/ +GT33hIHVY4ExTprFyTBAZ9xOs9NzUuwuz4hbVGZi9VhgjJNmcTIM0Knu7zYv +zqm2Mn8sMMZJszgZBuiJ23Qxf0/xHSfrxwJjsjTLba7Ky5gxZsSQwOCpaXsr +zfTvcWHNgOzclvpjB0+12nt6XF31VZ1Ui0vKY4ExmZplvrx1xc5zrTZ724Wd +z4wcGr25yqbGMADuYr+ZnxweEh7Za9yj09ZdNDN6LDBG0Sxn6+Gly8s6fWyn +paiwuf/I1V2RHjJq/ukOZYYBcDen4dy///Zc/Ky/b92QNjfyl8PHpx5sdlBu +4fz+dQufmrN+2ytPhT48+/Atl0JDBSmkN7p/Ozffe3Ieya1E0/mUsVN219u9 +DwZrBmTlbjv22wdDVxbedva4bv93/ohhk/c3060qd3vh0w8+8ucDtaa2a5ea +rfjUD5+kN9qD8DjmNhS/NHP1aaOP1YA1A/IyfvnH4HGvXbb0/d319dLgh549 +ZaTbQufZ5NGRr1+xKDE6kI20RjuaPkydPb3PlIjA4dFxnj/npJd4P1C5jGfe +fDn3qu93+bFmQFamstTR4Su/9bwTYbmyfvyYRT7PoT50ffWXsIhV3+K9DL5J +b/T/CV+Puc1V+Ztyv+n0s3WsGZBVd0XGmJAUzycOHY37F05b/jntDW/zd6sj +wpZc6FJkeCAX6Y3uJ3Qcs934dFtOmdHzitVlvPjx0aZ771hizYCsLJfXjhs5 +6U+rNmbvyPpH5o6iW3Tv/Lq6rn2+Zf7IIaPTP7powlu1HJPY6Lv4PY45bx9Z +Fn7/oIB+gwZHZV3/yWEMawbkZqv6Z9SvEooMeJtV59Bo0C977VsTH5595A5W +t86h0aBTbsuNL999MXjIyN+9/WUT7nvrFxoNAAAAA4zfr+2AtqG5MEAQf20H +tEd/zZ0FA1JNTY3/hUGy1NUuAryTpbkA2kX3tR3QFDQXBhqcsnUMzYUBAktd +x9BcGCCw1HUMzfVFl4F9eiqK51p4HpsmYAJlosvAPj0VxXMtPI9NEzCBctFl +YJ+eiuK5Fp7HpgmYQLnpMrBPT0XxXAvPY9METGBPj6O5IHFCUqmU7yqQBfbZ +Gk/kHbrSxdeLeFdH+cH8kttefsxKe0VJrUWEgb14WFKhuVriaDq4aOqIoETx +S5EssM/R8snKF97h8pRhvpSd9Gph248GrtWixNciBhYPU2ybqyX2mwVrsz/L +mhgqeimSBfa57hxNik2TdNpWkLv9RNLkZSUd35/sNVyUyFrE0PPiUeL71NK3 +ybC5WmJvOJCZc7WjdleM0FJ0mb4r2LZlz/v5uZvT/pD4XEYJ3e9yOps+mB6x +4KxQCyXuxct+CRMP3e1fzI2Yd6yN/6KEYxNF1SICb4tHYCOU2ZeEn7OiKk1w +m/w0V0tsdfsyc6ssPfY6gaXoaj/5yoxn/nW977LeXrP9sYdmfUqZOmoqTQyd +uKPGa6CpfHvxgjTx0HLltahIyvQbdYoSjk0UUws1zhaPMMrsS5LjGG1pBDlN +fDRXS6zVezP31nhaILAUTRcyIsLTv/JEwzgb834dNG1/M+XLcMPJ+KDH8xr9 +PYp0Lz984/UuPr/xSpp4aKveOiF0YSnVfWt1ihKOTRRTCyWOFg/p1JGtBJrv +U9M3V3CbXDRXU6yVWU9Ej4/2GBc0+L5hYVHxKyq8xVh1XUh5ZFRCSUff367W +j+KDJuXeoI2q6TyTEBKzq87PKVWOvdyLOPHQenVD1Nj0im6ajatSFEFsopha +6PC2eAjQZl8KXzvRlya4TS6aq1mOhj2TwnyfUtuOTQ8cNu39vvOhtfLtaaMm +bCe8xO99tV9wqNzYd4qyVW+JiVzub/ZF78Uf8sTDznMLwuPym4SvFFQuiiQ2 +kbgWOXCxeIRRZ18KH8foSxPaJnfN1RaBpeho+fjF8YFDRz+5ZP3mdZMfeHTj +NcLb38bTyeHhycWe0561cmNs3O56340WvRc/yBMPrdc2xs7c00BwpaBiUYSx +ieS1yIGLxSOIPvtS+DhGX5q/bXLZXJ3qOJMUMnaNuHu7LkPxmmc3kTxWyl5+ +hDjx0N1Ztjbhja9N1DeBVChKiOhalMZm8XincPYlmqsppvNLQsPSykVf31sb +DmfnFLUInFal7uV7pImH1oYjb20/3izybM+4KMHRSKlFSWwWj3cKZ1+iuZrh +Ntef/c+6uMAhEa+fNEh4be623Wmz+VxOcu2FKvHQZWk1+B4S0c4YFSVMei1K +YLN4fD1I0exLNBcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAS5CjzQbmGUAx +yNFmA/MMoBzkaLOBeQZQHnK02cA8AygEOdpsYJ4BFIIcbTYwzwBKQY42G5hn +dqTGVQuGOIMaaBPAQQo8C9RFnOns6Gi85f13jYVDnEENlAngIAmeBWoizXS2 +1++OGfrA82e95ZMJhziDGkiz4EEOeBaoiDzT2WkoP36qzuzlNEMQ4gwqoE0A +BynwLFCTDIHdJCHOwB51AjhIgGeBqiQGdhOGOAN79AngIBKeBRxhlukMLCic +AA7AJVaZzsCEwgngANxhmekMylM2ARwAAABAcc7Ww0uXl3n7nBwAgDY4b773 +5Dz84B1Av1nApZqaGj9dk+s4pnaVWuK/I5hwucgyz8AzR9OHqbOn95kSETg8 +Os7z55z0kp98BP6H/+wu9/5nIB2mGkA0vK4EAK3DcQwAtA7HMQDZIf9OIk1P +oKYH7wvPRfE8Nlo81YL8O4k0PYGaHrwvPBfF89hocVUL8u8k0vQEanrwvvBc +FM9jo8VlLci/k0jTE6jpwfvCc1E8j42WxFrc5qq8jBljRgwJDJ6atrfS2y+p +Em+KKP/O1ngi79CVLm2/ppfC1VF+ML/ktpcf2lIvQNDRXJA4IalUytecNNx9 +FToyICdcwXk2X966Yue5Vpu97cLOZ0YOjd5cZRO3IbL8O0fLJytfeEcnZxDx +zJeyk14tbPvRJKkYIOhoOrho6oigRPFPK813n21HBu6EKzTP9paiwub+I1d3 +RXrIqPmnO8QMjyz/znXnaFJsmqSTEDUlvk8tfZvu9hNJk5eVdHx/mlQxQNB+ +s2Bt9mdZE0NFP6347T45hh0Z0BOu/DybzqeMnbK73s8P30tNkGz6YHrEAq9Z +RhQboYw7JPycFVVpgtsUTgl0t38xN2LesTbVr/ftDQcyc6521O6KEXpasem+ +xL142S/hgmHVEX1PuOor320ofmnmaj9RNcQJkj6ZShNDJ+6gTgj56UDp4g5J +jmO0pQlvUzgl0HLltahI1YNrbHX7MnOrLD32OoGnFZvuS9+LF6QLhklHdD/h +6q58l/HMmy/nXvXzLj9pgqQfhpPxQY/nNfp6LU/4fVuyuEPC71NTlUaxTeGU +QFv11gmhC0tVvc1srd6bubfGs4YFnlaKd59qL3RfzSbNx2TQkQEw4SqufLe5 +Kn9T7jed/q70yBMkfes8kxASs6tO2vUYbdyh8LUTfWmC2yRICbRe3RA1Nr1C +zaQBa2XWE9Hjoz3GBQ2+b1hYVPyKCm+ZYGy6L8de7kW8YJTvyACYcPVWvu3G +p9tyyoyeq0mX8eLHR5u83bEUnSDZ+4K54FC5se8ob6veEhO5XFoB1HGHwscx ++tKEtkmSEth5bkF4XH4TJ0EDjoY9k8J8Xx6w6b4MKaX3Il8wTDui0wlXa+U7 +bx9ZFn7/oIB+gwZHZV33+sEL0QmSxtPJ4eHJxZ5ToLVyY2yc3zsJQujjDoWP +Y/Sl+dsmYUqg9drG2Jl7GnhJaxR4WrHpvsSUUq/IFwzbjuhwwjW28qUkSLoM +xWue3ST+1qrCcYfMwjHdnWVrE9742qT63UpqbLovWyOIFwy3HdHYhAvhZp6l +JkhaGw5n5xS1iLomUzjukFU4prXhyFvbjzdLf83EHpvuy9YI0gXDb0c0NuGC +o+FhnuVKkHTb7rTZaI9FysYdsgzHdFlaDdTlq49N9+VrBMWC4bMjWptwYXzO +MwAAAAD48z/nO6rl + "], {{0, 93}, {408, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], Selectable->False], @@ -499,7 +499,7 @@ xh2yDMd0WesN1OWrj0335WsExYLhsyNam3BhfM4zAAAAAPjzPxjLqso= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[2]=", - CellID->1064632003] + CellID->1088106126] }, Open ]], Cell[CellGroupData[{ @@ -1552,8 +1552,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"FCApart", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1565,7 +1565,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 42.396465}", + "built" -> "{2020, 6, 20, 19, 5, 0.838329}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1599,19 +1599,19 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6861, 206, 387, 15, 31, "PrimaryExamplesSection", + Cell[6861, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->758119555]}, + CellID->1103987637]}, "RasterizedOutput"->{ - Cell[12078, 413, 4858, 88, 114, "Output", + Cell[12078, 413, 4874, 88, 114, "Output", CellTags->"RasterizedOutput", - CellID->1064632003]} + CellID->1088106126]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 50531, 1600}, - {"RasterizedOutput", 50674, 1604} + {"PrimaryExamplesSection", 50543, 1600}, + {"RasterizedOutput", 50687, 1604} } *) (*NotebookFileOutline @@ -1625,24 +1625,24 @@ Cell[3886, 112, 866, 20, 136, "Usage", Cell[CellGroupData[{ Cell[4777, 136, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1559637087], + CellID->1396847414], Cell[5519, 162, 31, 0, 70, "SectionHeaderSpacer"], Cell[5553, 164, 231, 5, 70, "Notes", CellID->1067943069], Cell[CellGroupData[{ Cell[5809, 173, 111, 3, 70, "Input", CellID->466656637], -Cell[5923, 178, 877, 21, 93, "Output"] +Cell[5923, 178, 877, 21, 94, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6861, 206, 387, 15, 31, "PrimaryExamplesSection", +Cell[6861, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->758119555], + CellID->1103987637], Cell[CellGroupData[{ -Cell[7273, 225, 196, 6, 26, "ExampleSection", - CellID->1660464911], +Cell[7274, 225, 195, 6, 26, "ExampleSection", + CellID->787614274], Cell[CellGroupData[{ Cell[7494, 235, 330, 11, 45, "Input", CellID->591868896], @@ -1653,26 +1653,26 @@ Cell[CellGroupData[{ Cell[9230, 303, 502, 17, 45, "Input", CellID->1827687893], Cell[9735, 322, 2340, 89, 60, "Output"], -Cell[12078, 413, 4858, 88, 114, "Output", +Cell[12078, 413, 4874, 88, 114, "Output", CellTags->"RasterizedOutput", - CellID->1064632003] + CellID->1088106126] }, Open ]], Cell[CellGroupData[{ -Cell[16973, 506, 630, 21, 45, "Input", +Cell[16989, 506, 630, 21, 70, "Input", CellID->21286566], -Cell[17606, 529, 3645, 130, 67, "Output"], -Cell[21254, 661, 26514, 858, 393, "Output"] +Cell[17622, 529, 3645, 130, 67, "Output"], +Cell[21270, 661, 26514, 858, 393, "Output"] }, Open ]] }, Open ]], -Cell[47795, 1523, 31, 0, 29, "SectionFooterSpacer"] +Cell[47811, 1523, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[47863, 1528, 270, 12, 31, "SeeAlsoSection", +Cell[47879, 1528, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[48136, 1542, 189, 5, 56, "SeeAlso", +Cell[48152, 1542, 189, 5, 70, "SeeAlso", CellID->929782353] }, Open ]], -Cell[48340, 1550, 23, 0, 41, "FooterCell"] +Cell[48356, 1550, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAttachTypesettingRule.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAttachTypesettingRule.nb new file mode 100644 index 000000000..09b060f19 --- /dev/null +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCAttachTypesettingRule.nb @@ -0,0 +1,590 @@ +(* Content-type: application/vnd.wolfram.mathematica *) + +(*** Wolfram Notebook File ***) +(* http://www.wolfram.com/nb *) + +(* CreatedBy='Mathematica 10.4' *) + +(*CacheID: 234*) +(* Internal cache information: +NotebookFileLineBreakTest +NotebookFileLineBreakTest +NotebookDataPosition[ 158, 7] +NotebookDataLength[ 16432, 580] +NotebookOptionsPosition[ 11791, 432] +NotebookOutlinePosition[ 13994, 489] +CellTagsIndexPosition[ 13909, 484] +WindowTitle->FCAttachTypesettingRule +WindowFrame->Normal*) + +(* Beginning of Notebook Content *) +Notebook[{ +Cell[BoxData[GridBox[{ + {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{ + Cell[BoxData[ + ActionMenuBox[ + FrameBox[ + InterpretationBox[Cell[TextData[{ + "See Also", + StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow", + StripOnInput->False] + }]], + TextCell[ + Row[{"See Also", + Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]], + StripOnInput->False], {"\<\"FCRemoveTypesettingRules\"\>":> + Documentation`HelpLookup[ + "paclet:FeynCalc/ref/FCRemoveTypesettingRules"]}, + Appearance->None, + MenuAppearance->Automatic, + MenuStyle->"SeeAlso"]], + LineSpacing->{1.4, 0}], + "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ +\[ThickSpace]", + Cell[BoxData[ + ActionMenuBox[ + FrameBox[ + InterpretationBox[Cell[TextData[{ + "URL", + StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow", + StripOnInput->False] + }]], + TextCell[ + Row[{"URL", + Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]], + StripOnInput->False], {"\<\"FeynCalc/ref/FCAttachTypesettingRule\"\>":> + None, "\<\"Copy Wolfram Documentation Center URL\"\>":> + Module[{DocumentationSearch`Private`nb$}, + DocumentationSearch`Private`nb$ = NotebookPut[ + Notebook[{ + Cell["FeynCalc/ref/FCAttachTypesettingRule"]}, Visible -> + False]]; SelectionMove[ + DocumentationSearch`Private`nb$, All, Notebook]; + FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; + NotebookClose[DocumentationSearch`Private`nb$]; Null], + Delimiter, "\<\"Copy web URL\"\>":> + Module[{DocumentationSearch`Private`nb$}, + DocumentationSearch`Private`nb$ = NotebookPut[ + Notebook[{ + Cell[ + BoxData[ + MakeBoxes[ + Hyperlink[ + "http://reference.wolfram.com/language/FeynCalc/ref/\ +FCAttachTypesettingRule.html"], StandardForm]], "Input", TextClipboardType -> + "PlainText"]}, Visible -> False]]; + SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; + FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; + NotebookClose[DocumentationSearch`Private`nb$]; + Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{ + NotebookLocate[{ + URL[ + StringJoin[ + If[ + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$92799], + "http://reference.wolfram.com/system-modeler/", + "http://reference.wolfram.com/language/"], + "FeynCalc/ref/FCAttachTypesettingRule", ".html"]], None}]}]}, + Appearance->None, + MenuAppearance->Automatic, + MenuStyle->"URLMenu"]], + LineSpacing->{1.4, 0}] + }], "AnchorBar"]} + }]], "AnchorBarGrid", + GridBoxOptions->{GridBoxItemSize->{"Columns" -> { + Scaled[0.65], { + Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, + "RowsIndexed" -> {}}}, + CellID->1], + +Cell[TextData[{ + Cell["FCAttachTypesettingRule", "ObjectName"], + Cell[BoxData[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, + BaselinePosition->Baseline, + ImageSize->{8, 0}], + CacheGraphics->False], + Spacer[8]]]], + Cell[BoxData[""], "ObjectNameTranslation"] +}], "ObjectNameGrid"], + +Cell[CellGroupData[{ + +Cell[BoxData[GridBox[{ + {"", Cell[TextData[{ + Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"expr", ",", " ", "..."}], "]"}]], "InlineFormula"], + " \[LineSeparator]attaches a specific TraditionalForm typesetting rule \ +to expr. It doesn't change any properties of expr apart from adding a \ +FormatValue with a MakeBoxes rule." + }]]} + }]], "Usage", + GridBoxOptions->{ + GridBoxBackground->{ + "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, + "RowsIndexed" -> {}}}, + CellID->982511436], + +Cell[CellGroupData[{ + +Cell[TextData[Cell[BoxData[ + ButtonBox[Cell[TextData[{ + Cell[BoxData[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, + BaselinePosition->Baseline, + ImageSize->{6, 0}], + CacheGraphics->False], + Spacer[6]]]], + "Details" + }], "NotesFrameText"], + Appearance->{Automatic, None}, + BaseStyle->None, + ButtonFunction:>(FrontEndExecute[{ + FrontEnd`SelectionMove[ + FrontEnd`SelectedNotebook[], All, ButtonCell], + FrontEndToken["OpenCloseGroup"], + FrontEnd`SelectionMove[ + FrontEnd`SelectedNotebook[], After, CellContents]}]& ), + Evaluator->None, + Method->"Preemptive"]]]], "NotesSection", + WholeCellGroupOpener->True, + CellGroupingRules->{"SectionGrouping", 50}, + CellID->958996106], + +Cell["", "SectionHeaderSpacer"], + +Cell["Following choices are possible:", "Notes", + CellID->1067943069], + +Cell["\<\ +FCAttachTypesettingRule[expr_, str] +FCAttachTypesettingRules[expr, {SubscriptBox, var, sub}] +FCAttachTypesettingRules[expr, {SuperscriptBox, var, sup}] +FCAttachTypesettingRules[expr, {SubsuperscriptBox, var, sub, sup}]\ +\>", "Notes", + CellID->272772993], + +Cell["\<\ +Use FCRemoveTypesettingRules to remove all typesetting rules attached to expr.\ +\>", "Notes", + CellID->2027770141] +}, Closed]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + Cell[BoxData[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, + BaselinePosition->Baseline, + ImageSize->{6, 0}], + CacheGraphics->False], + Spacer[6]]]], + "Examples", + "\[NonBreakingSpace]\[NonBreakingSpace]", + Cell["(1)", "ExampleCount"] +}], "PrimaryExamplesSection", + WholeCellGroupOpener->True, + CellTags->"PrimaryExamplesSection", + CellID->995614222], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Basic Examples", + "\[NonBreakingSpace]\[NonBreakingSpace]", + Cell["(1)", "ExampleCount"] +}], "ExampleSection", "ExampleSection", + WholeCellGroupOpener->True, + CellID->697479901], + +Cell[CellGroupData[{ + +Cell[BoxData["mu"], "Input", + CellLabel->"In[1]:=", + CellID->1936456490], + +Cell[BoxData[ + FormBox["mu", TraditionalForm]], "Output", + ImageSize->{23, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[1]=", + CellID->1384497776] +}, Open ]], + +Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"mu", ",", "\"\<\[Mu]\>\""}], "]"}]], "Input", + CellLabel->"In[2]:=", + CellID->1562186645], + +Cell[CellGroupData[{ + +Cell[BoxData["mu"], "Input", + CellLabel->"In[3]:=", + CellID->40423038], + +Cell[BoxData[ + FormBox["\[Mu]", TraditionalForm]], "Output", + ImageSize->{14, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[3]=", + CellID->2003189628] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"mc", "[", "\"\\"", "]"}]], "Input", + CellLabel->"In[4]:=", + CellID->1431688149], + +Cell[BoxData[ + FormBox[ + RowBox[{"mc", "(", "\<\"d_ss\"\>", ")"}], TraditionalForm]], "Output", + ImageSize->{61, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[4]=", + CellID->1291154918] +}, Open ]], + +Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{ + RowBox[{"mc", "[", "\"\\"", "]"}], ",", + RowBox[{"{", + RowBox[{"SubscriptBox", ",", "\"\\"", ",", "\"\\""}], "}"}]}], + "]"}]], "Input", + CellLabel->"In[5]:=", + CellID->1994809373], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"mc", "[", "\"\\"", "]"}]], "Input", + CellLabel->"In[6]:=", + CellID->727675022], + +Cell[BoxData[ + FormBox[ + SubscriptBox["d", "ss"], TraditionalForm]], "Output", + ImageSize->{23, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[6]=", + CellID->1232046431] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["m12"], "Input", + CellLabel->"In[7]:=", + CellID->409716571], + +Cell[BoxData[ + FormBox["m12", TraditionalForm]], "Output", + ImageSize->{30, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[7]=", + CellID->1939139141] +}, Open ]], + +Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"m12", ",", + RowBox[{"{", + RowBox[{"SubsuperscriptBox", ",", "m", ",", "1", ",", "2"}], "}"}]}], + "]"}]], "Input", + CellLabel->"In[8]:=", + CellID->737015970], + +Cell[CellGroupData[{ + +Cell[BoxData["m12"], "Input", + CellLabel->"In[9]:=", + CellID->1279505267], + +Cell[BoxData[ + FormBox[ + SubsuperscriptBox["m", "1", "2"], TraditionalForm]], "Output", + ImageSize->{27, 20}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[9]=", + CellID->1604278061] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}]], "Input", + CellLabel->"In[10]:=", + CellID->540293925], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}], + TraditionalForm]], "Output", + ImageSize->{105, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[10]=", + CellID->411608320] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"MapThread", "[", + RowBox[{ + RowBox[{ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"#1", ",", + RowBox[{"{", + RowBox[{"SubscriptBox", ",", "\"\\"", ",", "#2"}], "}"}]}], "]"}], + "&"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}], ",", + RowBox[{"Range", "[", "4", "]"}]}], "}"}]}], "]"}], ";"}]], "Input", + CellLabel->"In[11]:=", + CellID->1515379826], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}]], "Input", + CellLabel->"In[12]:=", + CellID->1244029258], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + SubscriptBox["p", "1"], ",", + SubscriptBox["p", "2"], ",", + SubscriptBox["p", "3"], ",", + SubscriptBox["p", "4"]}], "}"}], TraditionalForm]], "Output", + ImageSize->{110, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[12]=", + CellID->1467760810] +}, Open ]], + +Cell[BoxData[{ + RowBox[{"FCRemoveTypesettingRules", "[", "mu", + "]"}], "\[IndentingNewLine]", + RowBox[{"FCRemoveTypesettingRules", "[", + RowBox[{"mc", "[", "\"\\"", "]"}], "]"}], "\[IndentingNewLine]", + RowBox[{"FCRemoveTypesettingRules", "[", "m12", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"FCRemoveTypesettingRules", "/@", + RowBox[{"{", + RowBox[{"p1", ",", "p2", ",", "p3", ",", "p4"}], "}"}]}], + ";"}], "\[IndentingNewLine]"}], "Input", + CellLabel->"In[13]:=", + CellID->1598574001] +}, Open ]], + +Cell["", "SectionFooterSpacer"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + Cell[BoxData[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, + BaselinePosition->Baseline, + ImageSize->{6, 0}], + CacheGraphics->False], + Spacer[6]]]], + "See Also" +}], "SeeAlsoSection", + WholeCellGroupOpener->True, + CellID->1255426704], + +Cell[TextData[StyleBox[ButtonBox["FCRemoveTypesettingRules", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/FCRemoveTypesettingRules", + ButtonNote->"FCRemoveTypesettingRules"], + FontFamily->"Verdana"]], "SeeAlso", + CellID->830480392] +}, Open ]], + +Cell[" ", "FooterCell"] +}, +Saveable->False, +ScreenStyleEnvironment->"Working", +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowTitle->"FCAttachTypesettingRule", +TaggingRules->{ + "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> + GridBox[{{ + RowBox[{ + ButtonBox[ + "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", + BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> + Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> + None, "RootCaptions" -> "", + "Metadata" -> { + "built" -> "{2020, 6, 20, 19, 5, 1.935881}", + "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", + "keywords" -> {}, "specialkeywords" -> {}, + "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> + "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> + "None", "summary" -> + "FCAttachTypesettingRule[expr, ...] attaches a specific TraditionalForm \ +typesetting rule to expr. It doesn't change any properties of expr apart from \ +adding a FormatValue with a MakeBoxes rule.", "synonyms" -> {}, + "tabletags" -> {}, "title" -> "FCAttachTypesettingRule", "titlemodifier" -> + "", "windowtitle" -> "FCAttachTypesettingRule", "type" -> "Symbol", "uri" -> + "FeynCalc/ref/FCAttachTypesettingRule"}, "SearchTextTranslated" -> ""}, +CellContext->"Global`", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", +StyleDefinitions->Notebook[{ + Cell[ + StyleData[ + StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], + Cell[ + StyleData["Input"], CellContext -> "Global`"], + Cell[ + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, + FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", + StyleDefinitions -> "Default.nb"] +] +(* End of Notebook Content *) + +(* Internal cache information *) +(*CellTagsOutline +CellTagsIndex->{ + "PrimaryExamplesSection"->{ + Cell[5898, 180, 387, 15, 31, "PrimaryExamplesSection", + CellTags->"PrimaryExamplesSection", + CellID->995614222]} + } +*) +(*CellTagsIndex +CellTagsIndex->{ + {"PrimaryExamplesSection", 13766, 477} + } +*) +(*NotebookFileOutline +Notebook[{ +Cell[595, 21, 3116, 76, 53, "AnchorBarGrid", + CellID->1], +Cell[3714, 99, 300, 11, 45, "ObjectNameGrid"], +Cell[CellGroupData[{ +Cell[4039, 114, 548, 14, 102, "Usage", + CellID->982511436], +Cell[CellGroupData[{ +Cell[4612, 132, 738, 24, 31, "NotesSection", + CellGroupingRules->{"SectionGrouping", 50}, + CellID->958996106], +Cell[5353, 158, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5387, 160, 69, 1, 70, "Notes", + CellID->1067943069], +Cell[5459, 163, 263, 6, 70, "Notes", + CellID->272772993], +Cell[5725, 171, 124, 3, 70, "Notes", + CellID->2027770141] +}, Closed]] +}, Open ]], +Cell[CellGroupData[{ +Cell[5898, 180, 387, 15, 31, "PrimaryExamplesSection", + CellTags->"PrimaryExamplesSection", + CellID->995614222], +Cell[CellGroupData[{ +Cell[6310, 199, 195, 6, 26, "ExampleSection", + CellID->697479901], +Cell[CellGroupData[{ +Cell[6530, 209, 72, 2, 27, "Input", + CellID->1936456490], +Cell[6605, 213, 188, 6, 35, "Output", + CellID->1384497776] +}, Open ]], +Cell[6808, 222, 156, 4, 27, "Input", + CellID->1562186645], +Cell[CellGroupData[{ +Cell[6989, 230, 70, 2, 27, "Input", + CellID->40423038], +Cell[7062, 234, 191, 6, 37, "Output", + CellID->2003189628] +}, Open ]], +Cell[CellGroupData[{ +Cell[7290, 245, 110, 3, 29, "Input", + CellID->1431688149], +Cell[7403, 250, 227, 7, 37, "Output", + CellID->1291154918] +}, Open ]], +Cell[7645, 260, 274, 8, 29, "Input", + CellID->1994809373], +Cell[CellGroupData[{ +Cell[7944, 272, 109, 3, 29, "Input", + CellID->727675022], +Cell[8056, 277, 210, 7, 37, "Output", + CellID->1232046431] +}, Open ]], +Cell[CellGroupData[{ +Cell[8303, 289, 72, 2, 27, "Input", + CellID->409716571], +Cell[8378, 293, 189, 6, 35, "Output", + CellID->1939139141] +}, Open ]], +Cell[8582, 302, 232, 7, 27, "Input", + CellID->737015970], +Cell[CellGroupData[{ +Cell[8839, 313, 73, 2, 27, "Input", + CellID->1279505267], +Cell[8915, 317, 219, 7, 41, "Output", + CellID->1604278061] +}, Open ]], +Cell[CellGroupData[{ +Cell[9171, 329, 140, 4, 27, "Input", + CellID->540293925], +Cell[9314, 335, 262, 9, 37, "Output", + CellID->411608320] +}, Open ]], +Cell[9591, 347, 509, 16, 45, "Input", + CellID->1515379826], +Cell[CellGroupData[{ +Cell[10125, 367, 141, 4, 27, "Input", + CellID->1244029258], +Cell[10269, 373, 352, 12, 38, "Output", + CellID->1467760810] +}, Open ]], +Cell[10636, 388, 517, 12, 97, "Input", + CellID->1598574001] +}, Open ]], +Cell[11168, 403, 31, 0, 29, "SectionFooterSpacer"] +}, Open ]], +Cell[CellGroupData[{ +Cell[11236, 408, 270, 12, 31, "SeeAlsoSection", + CellID->1255426704], +Cell[11509, 422, 240, 5, 56, "SeeAlso", + CellID->830480392] +}, Open ]], +Cell[11764, 430, 23, 0, 41, "FooterCell"] +} +] +*) + +(* End of internal cache information *) + diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCCT.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCCT.nb index 6bd1facd5..0e8e2d7f3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCCT.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCCT.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6839, 209] +NotebookDataLength[ 6838, 209] NotebookOptionsPosition[ 4856, 153] -NotebookOutlinePosition[ 6611, 200] -CellTagsIndexPosition[ 6568, 197] +NotebookOutlinePosition[ 6610, 200] +CellTagsIndexPosition[ 6567, 197] WindowTitle->FCCCT WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$93116], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$93688], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCCCT", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 45.016178}", + "built" -> "{2020, 6, 20, 19, 5, 4.121677}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCanonicalizeDummyIndices.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCanonicalizeDummyIndices.nb index 5120161bb..aef6cb15c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCanonicalizeDummyIndices.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCanonicalizeDummyIndices.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18727, 667] +NotebookDataLength[ 18670, 666] NotebookOptionsPosition[ 14891, 555] -NotebookOutlinePosition[ 17341, 617] -CellTagsIndexPosition[ 17256, 612] +NotebookOutlinePosition[ 17284, 616] +CellTagsIndexPosition[ 17199, 611] WindowTitle->FCCanonicalizeDummyIndices WindowFrame->Normal*) @@ -81,7 +81,7 @@ FCCanonicalizeDummyIndices.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$92673], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$93245], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCCanonicalizeDummyIndices", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1390289975], + CellID->562743150], Cell["", "SectionHeaderSpacer"], @@ -212,7 +212,7 @@ Cell[BoxData[ RowBox[{"{", "}"}]}], ",", RowBox[{"SUNIndexNames", "\[Rule]", RowBox[{"{", "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{498, 201}, + ImageSize->{498, 206}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[758]="] @@ -237,7 +237,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->417147357], + CellID->1694251293], Cell[CellGroupData[{ @@ -247,7 +247,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->836870769], + CellID->654339382], Cell[CellGroupData[{ @@ -556,7 +556,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCCanonicalizeDummyIndices", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -568,7 +568,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 43.751332}", + "built" -> "{2020, 6, 20, 19, 5, 3.024013}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -593,8 +593,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -604,14 +603,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7567, 224, 387, 15, 31, "PrimaryExamplesSection", + Cell[7566, 224, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->417147357]} + CellID->1694251293]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17113, 605} + {"PrimaryExamplesSection", 17055, 604} } *) (*NotebookFileOutline @@ -623,23 +622,23 @@ Cell[CellGroupData[{ Cell[4051, 114, 700, 17, 135, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4776, 135, 739, 24, 31, "NotesSection", +Cell[4776, 135, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1390289975], -Cell[5518, 161, 31, 0, 70, "SectionHeaderSpacer"], + CellID->562743150], +Cell[5517, 161, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5574, 165, 110, 2, 70, "Input"], -Cell[5687, 169, 1819, 48, 222, "Output"] +Cell[5573, 165, 110, 2, 70, "Input"], +Cell[5686, 169, 1819, 48, 227, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7567, 224, 387, 15, 31, "PrimaryExamplesSection", +Cell[7566, 224, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->417147357], + CellID->1694251293], Cell[CellGroupData[{ Cell[7979, 243, 195, 6, 26, "ExampleSection", - CellID->836870769], + CellID->654339382], Cell[CellGroupData[{ Cell[8199, 253, 498, 18, 27, "Input", CellID->720389846], @@ -666,9 +665,9 @@ Cell[14285, 524, 31, 0, 29, "SectionFooterSpacer"] Cell[CellGroupData[{ Cell[14353, 529, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[14626, 543, 223, 7, 70, "SeeAlso"] +Cell[14626, 543, 223, 7, 56, "SeeAlso"] }, Open ]], -Cell[14864, 553, 23, 0, 70, "FooterCell"] +Cell[14864, 553, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCChargeConjugateTransposed.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCChargeConjugateTransposed.nb index ce9e685c8..35a2e68e8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCChargeConjugateTransposed.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCChargeConjugateTransposed.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17922, 644] -NotebookOptionsPosition[ 13669, 511] -NotebookOutlinePosition[ 15912, 569] -CellTagsIndexPosition[ 15827, 564] +NotebookDataLength[ 17926, 644] +NotebookOptionsPosition[ 13671, 511] +NotebookOutlinePosition[ 15914, 569] +CellTagsIndexPosition[ 15829, 564] WindowTitle->FCChargeConjugateTransposed WindowFrame->Normal*) @@ -85,7 +85,7 @@ FCChargeConjugateTransposed.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$93562], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$94134], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCChargeConjugateTransposed", ".html"]], None}]}]}, @@ -168,7 +168,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->875591338], + CellID->1883859692], Cell["", "SectionHeaderSpacer"], @@ -253,7 +253,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->712369333], + CellID->1058770092], Cell[CellGroupData[{ @@ -263,7 +263,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1799623507], + CellID->1853406156], Cell[CellGroupData[{ @@ -524,7 +524,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 45.978520}", + "built" -> "{2020, 6, 20, 19, 5, 4.945797}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -556,14 +556,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7575, 240, 387, 15, 31, "PrimaryExamplesSection", + Cell[7576, 240, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->712369333]} + CellID->1058770092]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15684, 557} + {"PrimaryExamplesSection", 15685, 557} } *) (*NotebookFileOutline @@ -575,77 +575,77 @@ Cell[CellGroupData[{ Cell[4253, 119, 801, 23, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5079, 146, 738, 24, 31, "NotesSection", +Cell[5079, 146, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->875591338], -Cell[5820, 172, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5854, 174, 221, 6, 70, "Notes", + CellID->1883859692], +Cell[5821, 172, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5855, 174, 221, 6, 70, "Notes", CellID->184725283], -Cell[6078, 182, 353, 12, 70, "Notes", +Cell[6079, 182, 353, 12, 70, "Notes", CellID->407289918], -Cell[6434, 196, 366, 13, 70, "Notes", +Cell[6435, 196, 366, 13, 70, "Notes", CellID->798826111], Cell[CellGroupData[{ -Cell[6825, 213, 131, 3, 70, "Input", +Cell[6826, 213, 131, 3, 70, "Input", CellID->1284994965], -Cell[6959, 218, 555, 15, 56, "Output", +Cell[6960, 218, 555, 15, 56, "Output", CellID->1548124228] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7575, 240, 387, 15, 31, "PrimaryExamplesSection", +Cell[7576, 240, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->712369333], + CellID->1058770092], Cell[CellGroupData[{ -Cell[7987, 259, 196, 6, 26, "ExampleSection", - CellID->1799623507], +Cell[7989, 259, 196, 6, 26, "ExampleSection", + CellID->1853406156], Cell[CellGroupData[{ -Cell[8208, 269, 144, 4, 27, "Input", +Cell[8210, 269, 144, 4, 27, "Input", CellID->219403019], -Cell[8355, 275, 746, 31, 37, "Output", +Cell[8357, 275, 746, 31, 37, "Output", CellID->1595078624] }, Open ]], Cell[CellGroupData[{ -Cell[9138, 311, 124, 3, 27, "Input", +Cell[9140, 311, 124, 3, 27, "Input", CellID->1159741749], -Cell[9265, 316, 1003, 38, 43, "Output", +Cell[9267, 316, 1003, 38, 43, "Output", CellID->1515265426] }, Open ]], Cell[CellGroupData[{ -Cell[10305, 359, 265, 7, 27, "Input", +Cell[10307, 359, 265, 7, 27, "Input", CellID->1573360164], -Cell[10573, 368, 663, 26, 37, "Output", +Cell[10575, 368, 663, 26, 37, "Output", CellID->2077641577] }, Open ]], Cell[CellGroupData[{ -Cell[11273, 399, 99, 3, 27, "Input", +Cell[11275, 399, 99, 3, 27, "Input", CellID->1664135997], -Cell[11375, 404, 275, 10, 40, "Output", +Cell[11377, 404, 275, 10, 40, "Output", CellID->867971904] }, Open ]], Cell[CellGroupData[{ -Cell[11687, 419, 101, 3, 27, "Input", +Cell[11689, 419, 101, 3, 27, "Input", CellID->873144111], -Cell[11791, 424, 491, 19, 40, "Output", +Cell[11793, 424, 491, 19, 40, "Output", CellID->377584760] }, Open ]], Cell[CellGroupData[{ -Cell[12319, 448, 100, 3, 27, "Input", +Cell[12321, 448, 100, 3, 27, "Input", CellID->227446180], -Cell[12422, 453, 276, 10, 40, "Output", +Cell[12424, 453, 276, 10, 40, "Output", CellID->1395716452] }, Open ]] }, Open ]], -Cell[12725, 467, 31, 0, 29, "SectionFooterSpacer"] +Cell[12727, 467, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12793, 472, 270, 12, 31, "SeeAlsoSection", +Cell[12795, 472, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13066, 486, 561, 20, 56, "SeeAlso", +Cell[13068, 486, 561, 20, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[13642, 509, 23, 0, 41, "FooterCell"] +Cell[13644, 509, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCheckSyntax.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCheckSyntax.nb index ed93a4f08..3653ea0dd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCheckSyntax.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCheckSyntax.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13236, 417] -NotebookOptionsPosition[ 9589, 307] -NotebookOutlinePosition[ 11821, 365] -CellTagsIndexPosition[ 11736, 360] +NotebookDataLength[ 13173, 416] +NotebookOptionsPosition[ 9587, 307] +NotebookOutlinePosition[ 11760, 364] +CellTagsIndexPosition[ 11675, 359] WindowTitle->FCCheckSyntax WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCCheckSyntax.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$94012], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$94584], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCCheckSyntax", ".html"]], None}]}]}, @@ -130,7 +130,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1967300151], + CellID->1697820583], Cell["", "SectionHeaderSpacer"], @@ -193,7 +193,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1706271885], + CellID->157283115], Cell[CellGroupData[{ @@ -203,7 +203,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1749419864], + CellID->745372466], Cell[TextData[{ "Typical mistake, using ", @@ -308,7 +308,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCCheckSyntax", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -320,7 +320,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 47.262130}", + "built" -> "{2020, 6, 20, 19, 5, 6.029572}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -341,8 +341,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -352,14 +351,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5658, 180, 388, 15, 31, "PrimaryExamplesSection", + Cell[5658, 180, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1706271885]} + CellID->157283115]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11592, 353} + {"PrimaryExamplesSection", 11532, 352} } *) (*NotebookFileOutline @@ -373,7 +372,7 @@ Cell[3196, 91, 528, 13, 102, "Usage", Cell[CellGroupData[{ Cell[3749, 108, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1967300151], + CellID->1697820583], Cell[4491, 134, 31, 0, 70, "SectionHeaderSpacer"], Cell[4525, 136, 181, 4, 70, "Notes", CellID->1161987066], @@ -390,35 +389,35 @@ Cell[5263, 162, 334, 11, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5658, 180, 388, 15, 31, "PrimaryExamplesSection", +Cell[5658, 180, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1706271885], + CellID->157283115], Cell[CellGroupData[{ -Cell[6071, 199, 196, 6, 26, "ExampleSection", - CellID->1749419864], -Cell[6270, 207, 207, 7, 32, "Notes", +Cell[6070, 199, 195, 6, 26, "ExampleSection", + CellID->745372466], +Cell[6268, 207, 207, 7, 32, "Notes", CellID->1330487301], Cell[CellGroupData[{ -Cell[6502, 218, 195, 6, 27, "Input", +Cell[6500, 218, 195, 6, 27, "Input", CellID->1374293448], -Cell[6700, 226, 1058, 19, 80, "Message", +Cell[6698, 226, 1058, 19, 80, "Message", CellID->353651716], -Cell[7761, 247, 193, 6, 35, "Output", +Cell[7759, 247, 193, 6, 35, "Output", CellID->735288398] }, Open ]], -Cell[7969, 256, 110, 3, 32, "Notes", +Cell[7967, 256, 110, 3, 32, "Notes", CellID->463494526], Cell[CellGroupData[{ -Cell[8104, 263, 314, 10, 27, "Input", +Cell[8102, 263, 314, 10, 27, "Input", CellID->237256672], -Cell[8421, 275, 905, 17, 117, "Message", +Cell[8419, 275, 905, 17, 117, "Message", CellID->1418369889], -Cell[9329, 294, 194, 6, 35, "Output", +Cell[9327, 294, 194, 6, 35, "Output", CellID->1453430414] }, Open ]] }, Open ]] }, Open ]], -Cell[9562, 305, 23, 0, 70, "FooterCell"] +Cell[9560, 305, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCheckVersion.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCheckVersion.nb index b589cbc5a..9d1ac74e3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCheckVersion.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCheckVersion.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8648, 271] +NotebookDataLength[ 8647, 271] NotebookOptionsPosition[ 5736, 188] -NotebookOutlinePosition[ 7990, 247] -CellTagsIndexPosition[ 7906, 242] +NotebookOutlinePosition[ 7989, 247] +CellTagsIndexPosition[ 7905, 242] WindowTitle->FCCheckVersion WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCCheckVersion.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$94443], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$95015], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCCheckVersion", ".html"]], None}]}]}, @@ -201,7 +201,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 48.565102}", + "built" -> "{2020, 6, 20, 19, 5, 7.222814}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -241,7 +241,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7771, 235} + {"PrimaryExamplesSection", 7770, 235} } *) (*NotebookFileOutline diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCClearScalarProducts.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCClearScalarProducts.nb index 5034cc001..d5f5f1333 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCClearScalarProducts.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCClearScalarProducts.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12983, 436] +NotebookDataLength[ 12924, 435] NotebookOptionsPosition[ 8522, 305] -NotebookOutlinePosition[ 11568, 387] -CellTagsIndexPosition[ 11443, 381] +NotebookOutlinePosition[ 11509, 386] +CellTagsIndexPosition[ 11384, 380] WindowTitle->FCClearScalarProducts[] WindowFrame->Normal*) @@ -83,7 +83,7 @@ FCClearScalarProducts.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$94886], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$95458], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCClearScalarProducts", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1957370991], + CellID->842237128], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->780051132], + CellID->1387067223], Cell[CellGroupData[{ @@ -305,8 +305,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCClearScalarProducts[]", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -318,7 +318,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 49.438879}", + "built" -> "{2020, 6, 20, 19, 5, 8.026410}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -338,8 +338,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -349,9 +348,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4635, 130, 388, 15, 31, "PrimaryExamplesSection", + Cell[4635, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1957370991]}, + CellID->842237128]}, "FCClearScalarProducts"->{ Cell[5268, 159, 216, 7, 27, "Input", CellTags->"FCClearScalarProducts", @@ -380,8 +379,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10448, 350}, - {"FCClearScalarProducts", 10597, 354} + {"PrimaryExamplesSection", 10390, 349}, + {"FCClearScalarProducts", 10538, 353} } *) (*NotebookFileOutline @@ -392,12 +391,12 @@ Cell[3898, 101, 300, 11, 45, "ObjectNameGrid"], Cell[4201, 114, 409, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4635, 130, 388, 15, 31, "PrimaryExamplesSection", +Cell[4635, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1957370991], + CellID->842237128], Cell[CellGroupData[{ -Cell[5048, 149, 195, 6, 26, "ExampleSection", - CellID->780051132], +Cell[5047, 149, 196, 6, 26, "ExampleSection", + CellID->1387067223], Cell[CellGroupData[{ Cell[5268, 159, 216, 7, 27, "Input", CellTags->"FCClearScalarProducts", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCColorIsolate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCColorIsolate.nb index 7ed1b2531..72f2c8244 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCColorIsolate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCColorIsolate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 52256, 1785] -NotebookOptionsPosition[ 48503, 1669] -NotebookOutlinePosition[ 50627, 1726] -CellTagsIndexPosition[ 50541, 1721] +NotebookDataLength[ 52204, 1784] +NotebookOptionsPosition[ 48505, 1669] +NotebookOutlinePosition[ 50573, 1725] +CellTagsIndexPosition[ 50487, 1720] WindowTitle->FCColorIsolate WindowFrame->Normal*) @@ -81,7 +81,7 @@ FCColorIsolate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$95328], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$95900], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCColorIsolate", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->84812816], + CellID->192738224], Cell["", "SectionHeaderSpacer"], @@ -190,7 +190,7 @@ Cell[BoxData[ RowBox[{"SUND", "\[Rule]", "True"}], ",", RowBox[{"SUNTrace", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{522, 72}, + ImageSize->{522, 73}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[47]=", @@ -216,7 +216,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->65996284], + CellID->1717648400], Cell[CellGroupData[{ @@ -226,7 +226,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1896752799], + CellID->863587483], Cell[TextData[{ ButtonBox["FCColorIsolate", @@ -1682,7 +1682,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 50.742223}", + "built" -> "{2020, 6, 20, 19, 5, 9.088765}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1702,8 +1702,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1713,14 +1712,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6676, 203, 386, 15, 31, "PrimaryExamplesSection", + Cell[6677, 203, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->65996284]} + CellID->1717648400]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 50399, 1714} + {"PrimaryExamplesSection", 50343, 1713} } *) (*NotebookFileOutline @@ -1732,61 +1731,61 @@ Cell[CellGroupData[{ Cell[4018, 114, 515, 15, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4558, 133, 737, 24, 31, "NotesSection", +Cell[4558, 133, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->84812816], -Cell[5298, 159, 31, 0, 70, "SectionHeaderSpacer"], + CellID->192738224], +Cell[5299, 159, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5354, 163, 118, 3, 70, "Input", +Cell[5355, 163, 118, 3, 70, "Input", CellID->1895011051], -Cell[5475, 168, 1140, 28, 93, "Output", +Cell[5476, 168, 1140, 28, 94, "Output", CellID->1828976869] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6676, 203, 386, 15, 31, "PrimaryExamplesSection", +Cell[6677, 203, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->65996284], + CellID->1717648400], Cell[CellGroupData[{ -Cell[7087, 222, 196, 6, 26, "ExampleSection", - CellID->1896752799], -Cell[7286, 230, 288, 8, 49, "Notes", +Cell[7090, 222, 195, 6, 26, "ExampleSection", + CellID->863587483], +Cell[7288, 230, 288, 8, 49, "Notes", CellID->108055865], Cell[CellGroupData[{ -Cell[7599, 242, 5854, 169, 384, "Input", +Cell[7601, 242, 5854, 169, 384, "Input", CellID->678574635], -Cell[13456, 413, 15627, 542, 258, "Output", +Cell[13458, 413, 15627, 542, 258, "Output", CellID->1299085040] }, Open ]], Cell[CellGroupData[{ -Cell[29120, 960, 203, 6, 27, "Input", +Cell[29122, 960, 203, 6, 27, "Input", CellID->184667609], -Cell[29326, 968, 15271, 529, 256, "Output", +Cell[29328, 968, 15271, 529, 256, "Output", CellID->1526981637] }, Open ]], -Cell[44612, 1500, 221, 6, 49, "Notes", +Cell[44614, 1500, 221, 6, 49, "Notes", CellID->959852842], Cell[CellGroupData[{ -Cell[44858, 1510, 135, 4, 27, "Input", +Cell[44860, 1510, 135, 4, 27, "Input", CellID->532893225], -Cell[44996, 1516, 2433, 98, 43, "Output", +Cell[44998, 1516, 2433, 98, 43, "Output", CellID->1394154100] }, Open ]], -Cell[47444, 1617, 166, 5, 32, "Notes", +Cell[47446, 1617, 166, 5, 32, "Notes", CellID->111681314], -Cell[47613, 1624, 150, 4, 27, "Input", +Cell[47615, 1624, 150, 4, 27, "Input", CellID->1836486841] }, Open ]], -Cell[47778, 1631, 31, 0, 29, "SectionFooterSpacer"] +Cell[47780, 1631, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[47846, 1636, 270, 12, 31, "SeeAlsoSection", +Cell[47848, 1636, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[48119, 1650, 342, 14, 56, "SeeAlso", +Cell[48121, 1650, 342, 14, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[48476, 1667, 23, 0, 41, "FooterCell"] +Cell[48478, 1667, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCompareResults.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCompareResults.nb index 8e9345782..8a96768df 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCompareResults.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCCompareResults.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14289, 448] -NotebookOptionsPosition[ 10789, 345] -NotebookOutlinePosition[ 13172, 406] -CellTagsIndexPosition[ 13087, 401] +NotebookDataLength[ 14236, 447] +NotebookOptionsPosition[ 10790, 345] +NotebookOutlinePosition[ 13118, 405] +CellTagsIndexPosition[ 13033, 400] WindowTitle->FCCompareResults WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCCompareResults.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$95766], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$96338], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCCompareResults", ".html"]], None}]}]}, @@ -137,7 +137,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1592897939], + CellID->890459400], Cell["", "SectionHeaderSpacer"], @@ -203,7 +203,7 @@ Cell[BoxData[ ",", "\<\"The results agree.\"\>", ",", "\<\"The results disagree.\"\>"}], "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{513, 129}, + ImageSize->{513, 130}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[795]=", @@ -229,7 +229,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->47378511], + CellID->1612629140], Cell[CellGroupData[{ @@ -239,7 +239,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->367873129], + CellID->334112156], Cell[CellGroupData[{ @@ -346,7 +346,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCCompareResults", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -358,7 +358,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 52.009701}", + "built" -> "{2020, 6, 20, 19, 5, 10.235012}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -382,8 +382,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -393,14 +392,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7305, 216, 386, 15, 31, "PrimaryExamplesSection", + Cell[7304, 216, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->47378511]} + CellID->1612629140]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12945, 394} + {"PrimaryExamplesSection", 12889, 393} } *) (*NotebookFileOutline @@ -412,44 +411,44 @@ Cell[CellGroupData[{ Cell[3214, 91, 818, 20, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4057, 115, 739, 24, 31, "NotesSection", +Cell[4057, 115, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1592897939], -Cell[4799, 141, 31, 0, 70, "SectionHeaderSpacer"], + CellID->890459400], +Cell[4798, 141, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4855, 145, 121, 3, 70, "Input", +Cell[4854, 145, 121, 3, 70, "Input", CellID->1616328053], -Cell[4979, 150, 2265, 59, 150, "Output", +Cell[4978, 150, 2265, 59, 151, "Output", CellID->267039424] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7305, 216, 386, 15, 31, "PrimaryExamplesSection", +Cell[7304, 216, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->47378511], + CellID->1612629140], Cell[CellGroupData[{ -Cell[7716, 235, 195, 6, 26, "ExampleSection", - CellID->367873129], +Cell[7717, 235, 195, 6, 26, "ExampleSection", + CellID->334112156], Cell[CellGroupData[{ -Cell[7936, 245, 285, 10, 27, "Input", +Cell[7937, 245, 285, 10, 27, "Input", CellID->231612524], -Cell[8224, 257, 954, 27, 24, "Print", +Cell[8225, 257, 954, 27, 24, "Print", CellID->1402511861], -Cell[9181, 286, 189, 6, 35, "Output", +Cell[9182, 286, 189, 6, 35, "Output", CellID->655015259] }, Open ]], Cell[CellGroupData[{ -Cell[9407, 297, 285, 10, 27, "Input", +Cell[9408, 297, 285, 10, 27, "Input", CellID->102291710], -Cell[9695, 309, 835, 21, 24, "Print", +Cell[9696, 309, 835, 21, 24, "Print", CellID->1472450406], -Cell[10533, 332, 190, 6, 35, "Output", +Cell[10534, 332, 190, 6, 35, "Output", CellID->196668672] }, Open ]] }, Open ]] }, Open ]], -Cell[10762, 343, 23, 0, 41, "FooterCell"] +Cell[10763, 343, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDiracIsolate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDiracIsolate.nb index c2f659a18..ec1f89df7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDiracIsolate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDiracIsolate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 55378, 1875] -NotebookOptionsPosition[ 51685, 1760] -NotebookOutlinePosition[ 53745, 1816] -CellTagsIndexPosition[ 53659, 1811] +NotebookDataLength[ 55376, 1875] +NotebookOptionsPosition[ 51684, 1760] +NotebookOutlinePosition[ 53744, 1816] +CellTagsIndexPosition[ 53658, 1811] WindowTitle->FCDiracIsolate WindowFrame->Normal*) @@ -80,7 +80,7 @@ FCDiracIsolate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$96198], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$96770], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCDiracIsolate", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1254098581], + CellID->1373087360], Cell["", "SectionHeaderSpacer"], @@ -223,7 +223,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2005834877], + CellID->2038433456], Cell[CellGroupData[{ @@ -233,7 +233,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1669096317], + CellID->313784199], Cell[TextData[{ ButtonBox["FCDiracIsolate", @@ -1773,7 +1773,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 53.902398}", + "built" -> "{2020, 6, 20, 19, 5, 12.302625}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1805,12 +1805,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[7205, 210, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2005834877]} + CellID->2038433456]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 53515, 1804} + {"PrimaryExamplesSection", 53514, 1804} } *) (*NotebookFileOutline @@ -1824,10 +1824,10 @@ Cell[4017, 113, 408, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4450, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1254098581], -Cell[5192, 155, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1373087360], +Cell[5192, 155, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5248, 159, 118, 3, 70, "Input", +Cell[5248, 159, 118, 3, 27, "Input", CellID->1538410322], Cell[5369, 164, 1775, 39, 150, "Output", CellID->1412443888] @@ -1837,46 +1837,46 @@ Cell[5369, 164, 1775, 39, 150, "Output", Cell[CellGroupData[{ Cell[7205, 210, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2005834877], + CellID->2038433456], Cell[CellGroupData[{ -Cell[7618, 229, 196, 6, 26, "ExampleSection", - CellID->1669096317], -Cell[7817, 237, 288, 8, 49, "Notes", +Cell[7618, 229, 195, 6, 26, "ExampleSection", + CellID->313784199], +Cell[7816, 237, 288, 8, 49, "Notes", CellID->108055865], Cell[CellGroupData[{ -Cell[8130, 249, 5854, 169, 384, "Input", +Cell[8129, 249, 5854, 169, 384, "Input", CellID->678574635], -Cell[13987, 420, 15626, 542, 258, "Output", +Cell[13986, 420, 15626, 542, 258, "Output", CellID->276868004] }, Open ]], Cell[CellGroupData[{ -Cell[29650, 967, 203, 6, 27, "Input", +Cell[29649, 967, 203, 6, 27, "Input", CellID->184667609], -Cell[29856, 975, 15220, 526, 255, "Output", +Cell[29855, 975, 15220, 526, 255, "Output", CellID->474582901] }, Open ]], -Cell[45091, 1504, 220, 6, 49, "Notes", +Cell[45090, 1504, 220, 6, 49, "Notes", CellID->959852842], Cell[CellGroupData[{ -Cell[45336, 1514, 135, 4, 27, "Input", +Cell[45335, 1514, 135, 4, 27, "Input", CellID->532893225], -Cell[45474, 1520, 5113, 185, 90, "Output", +Cell[45473, 1520, 5113, 185, 90, "Output", CellID->1394310795] }, Open ]], -Cell[50602, 1708, 166, 5, 32, "Notes", +Cell[50601, 1708, 166, 5, 32, "Notes", CellID->111681314], -Cell[50771, 1715, 150, 4, 27, "Input", +Cell[50770, 1715, 150, 4, 27, "Input", CellID->1836486841] }, Open ]], -Cell[50936, 1722, 31, 0, 29, "SectionFooterSpacer"] +Cell[50935, 1722, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[51004, 1727, 270, 12, 31, "SeeAlsoSection", +Cell[51003, 1727, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[51277, 1741, 366, 14, 56, "SeeAlso", +Cell[51276, 1741, 366, 14, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[51658, 1758, 23, 0, 41, "FooterCell"] +Cell[51657, 1758, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDisableTraditionalFormOutput.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDisableTraditionalFormOutput.nb index ceea91d27..aea4c3c8f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDisableTraditionalFormOutput.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDisableTraditionalFormOutput.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10644, 348] -NotebookOptionsPosition[ 7407, 254] -NotebookOutlinePosition[ 9716, 314] -CellTagsIndexPosition[ 9632, 309] +NotebookDataLength[ 10589, 347] +NotebookOptionsPosition[ 7408, 254] +NotebookOutlinePosition[ 9660, 313] +CellTagsIndexPosition[ 9576, 308] WindowTitle->FCDisableTraditionalFormOutput WindowFrame->Normal*) @@ -84,7 +84,7 @@ FCDisableTraditionalFormOutput.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$96638], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$97210], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCDisableTraditionalFormOutput", ".html"]], @@ -147,7 +147,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1140215268], + CellID->1736239857], Cell[CellGroupData[{ @@ -157,7 +157,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->717664224], + CellID->2100588437], Cell[BoxData[ RowBox[{"FCDisableTraditionalFormOutput", "[", "]"}]], "Input", @@ -255,7 +255,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCDisableTraditionalFormOutput", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -267,7 +267,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 55.157102}", + "built" -> "{2020, 6, 20, 19, 5, 13.437271}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -290,8 +290,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -303,12 +302,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4769, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1140215268]} + CellID->1736239857]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9488, 302} + {"PrimaryExamplesSection", 9432, 301} } *) (*NotebookFileOutline @@ -321,35 +320,35 @@ Cell[4212, 116, 532, 14, 102, "Usage", Cell[CellGroupData[{ Cell[4769, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1140215268], + CellID->1736239857], Cell[CellGroupData[{ -Cell[5182, 153, 195, 6, 26, "ExampleSection", - CellID->717664224], -Cell[5380, 161, 122, 3, 27, "Input", +Cell[5182, 153, 196, 6, 26, "ExampleSection", + CellID->2100588437], +Cell[5381, 161, 122, 3, 27, "Input", CellID->1038938737], Cell[CellGroupData[{ -Cell[5527, 168, 125, 4, 27, "Input", +Cell[5528, 168, 125, 4, 27, "Input", CellID->272206574], -Cell[5655, 174, 214, 7, 36, "Output", +Cell[5656, 174, 214, 7, 36, "Output", CellID->1262109001] }, Open ]], -Cell[5884, 184, 121, 3, 27, "Input", +Cell[5885, 184, 121, 3, 27, "Input", CellID->2126693435], Cell[CellGroupData[{ -Cell[6030, 191, 125, 4, 27, "Input", +Cell[6031, 191, 125, 4, 27, "Input", CellID->502881580], -Cell[6158, 197, 381, 16, 37, "Output", +Cell[6159, 197, 381, 16, 37, "Output", CellID->411839276] }, Open ]] }, Open ]], -Cell[6566, 217, 31, 0, 29, "SectionFooterSpacer"] +Cell[6567, 217, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6634, 222, 270, 12, 31, "SeeAlsoSection", +Cell[6635, 222, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6907, 236, 458, 13, 57, "SeeAlso"] +Cell[6908, 236, 458, 13, 57, "SeeAlso"] }, Open ]], -Cell[7380, 252, 23, 0, 41, "FooterCell"] +Cell[7381, 252, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDuplicateFreeQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDuplicateFreeQ.nb index 47dbf7f9e..c4718991c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDuplicateFreeQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCDuplicateFreeQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10033, 325] +NotebookDataLength[ 9976, 324] NotebookOptionsPosition[ 6658, 228] -NotebookOutlinePosition[ 9119, 289] -CellTagsIndexPosition[ 9035, 284] +NotebookOutlinePosition[ 9062, 288] +CellTagsIndexPosition[ 8978, 283] WindowTitle->FCDuplicateFreeQ WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCDuplicateFreeQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$97074], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$97646], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCDuplicateFreeQ", ".html"]], None}]}]}, @@ -122,7 +122,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->210388594], + CellID->121628029], Cell[CellGroupData[{ @@ -132,7 +132,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1201668591], + CellID->1867862069], Cell[CellGroupData[{ @@ -229,7 +229,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCDuplicateFreeQ", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -241,7 +241,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 56.322258}", + "built" -> "{2020, 6, 20, 19, 5, 14.405762}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -265,8 +265,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -278,12 +277,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3964, 109, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->210388594]} + CellID->121628029]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8892, 277} + {"PrimaryExamplesSection", 8835, 276} } *) (*NotebookFileOutline @@ -296,10 +295,10 @@ Cell[3192, 89, 747, 16, 136, "Usage", Cell[CellGroupData[{ Cell[3964, 109, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->210388594], + CellID->121628029], Cell[CellGroupData[{ Cell[4376, 128, 196, 6, 26, "ExampleSection", - CellID->1201668591], + CellID->1867862069], Cell[CellGroupData[{ Cell[4597, 138, 170, 5, 27, "Input", CellID->1365347863], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCE.nb index 70012b4e5..ddbb10d1f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19816, 724] -NotebookOptionsPosition[ 14718, 554] -NotebookOutlinePosition[ 17836, 647] -CellTagsIndexPosition[ 17729, 641] +NotebookDataLength[ 19750, 723] +NotebookOptionsPosition[ 14714, 554] +NotebookOutlinePosition[ 17774, 646] +CellTagsIndexPosition[ 17667, 640] WindowTitle->FCE WindowFrame->Normal*) @@ -83,7 +83,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$97953], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$98525], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCE", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1842947211], + CellID->507992695], Cell["", "SectionHeaderSpacer"], @@ -180,7 +180,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1150272475], + CellID->290574681], Cell[CellGroupData[{ @@ -190,7 +190,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1218642292], + CellID->37128125], Cell[CellGroupData[{ @@ -555,7 +555,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -567,7 +567,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 58.716299}", + "built" -> "{2020, 6, 20, 19, 5, 16.446794}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -586,8 +586,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -597,51 +596,51 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5406, 167, 388, 15, 31, "PrimaryExamplesSection", + Cell[5405, 167, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1150272475]}, + CellID->290574681]}, "FCE"->{ - Cell[6040, 196, 281, 9, 27, "Input", + Cell[6036, 196, 281, 9, 27, "Input", CellTags->"FCE", CellID->2084841201], - Cell[6324, 207, 587, 23, 43, "Output", + Cell[6320, 207, 587, 23, 43, "Output", CellTags->"FCE"], - Cell[6948, 235, 122, 4, 27, "Input", + Cell[6944, 235, 122, 4, 27, "Input", CellTags->"FCE", CellID->458931786], - Cell[7073, 241, 276, 9, 51, "Output", + Cell[7069, 241, 276, 9, 51, "Output", CellTags->"FCE"], - Cell[7386, 255, 456, 14, 27, "Input", + Cell[7382, 255, 456, 14, 27, "Input", CellTags->"FCE", CellID->2115567934], - Cell[7845, 271, 1734, 72, 42, "Output", + Cell[7841, 271, 1734, 72, 42, "Output", CellTags->"FCE"], - Cell[9616, 348, 122, 4, 27, "Input", + Cell[9612, 348, 122, 4, 27, "Input", CellTags->"FCE", CellID->811786447], - Cell[9741, 354, 538, 16, 51, "Output", + Cell[9737, 354, 538, 16, 51, "Output", CellTags->"FCE"], - Cell[10316, 375, 114, 4, 27, "Input", + Cell[10312, 375, 114, 4, 27, "Input", CellTags->"FCE", CellID->1616474928], - Cell[10433, 381, 1466, 60, 42, "Output", + Cell[10429, 381, 1466, 60, 42, "Output", CellTags->"FCE"], - Cell[11936, 446, 121, 4, 27, "Input", + Cell[11932, 446, 121, 4, 27, "Input", CellTags->"FCE", CellID->46978122], - Cell[12060, 452, 979, 27, 103, "Output", + Cell[12056, 452, 979, 27, 103, "Output", CellTags->"FCE"], - Cell[13076, 484, 153, 5, 27, "Input", + Cell[13072, 484, 153, 5, 27, "Input", CellTags->"FCE", CellID->1508698339], - Cell[13232, 491, 538, 16, 51, "Output", + Cell[13228, 491, 538, 16, 51, "Output", CellTags->"FCE"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16554, 598}, - {"FCE", 16685, 602} + {"PrimaryExamplesSection", 16493, 597}, + {"FCE", 16623, 601} } *) (*NotebookFileOutline @@ -653,79 +652,79 @@ Cell[CellGroupData[{ Cell[4074, 116, 406, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4505, 132, 739, 24, 31, "NotesSection", +Cell[4505, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1842947211], -Cell[5247, 158, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5281, 160, 76, 1, 70, "Notes", + CellID->507992695], +Cell[5246, 158, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5280, 160, 76, 1, 70, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5406, 167, 388, 15, 31, "PrimaryExamplesSection", +Cell[5405, 167, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1150272475], + CellID->290574681], Cell[CellGroupData[{ -Cell[5819, 186, 196, 6, 26, "ExampleSection", - CellID->1218642292], +Cell[5817, 186, 194, 6, 26, "ExampleSection", + CellID->37128125], Cell[CellGroupData[{ -Cell[6040, 196, 281, 9, 27, "Input", +Cell[6036, 196, 281, 9, 27, "Input", CellTags->"FCE", CellID->2084841201], -Cell[6324, 207, 587, 23, 43, "Output", +Cell[6320, 207, 587, 23, 43, "Output", CellTags->"FCE"] }, Open ]], Cell[CellGroupData[{ -Cell[6948, 235, 122, 4, 27, "Input", +Cell[6944, 235, 122, 4, 27, "Input", CellTags->"FCE", CellID->458931786], -Cell[7073, 241, 276, 9, 51, "Output", +Cell[7069, 241, 276, 9, 51, "Output", CellTags->"FCE"] }, Open ]], Cell[CellGroupData[{ -Cell[7386, 255, 456, 14, 27, "Input", +Cell[7382, 255, 456, 14, 27, "Input", CellTags->"FCE", CellID->2115567934], -Cell[7845, 271, 1734, 72, 42, "Output", +Cell[7841, 271, 1734, 72, 42, "Output", CellTags->"FCE"] }, Open ]], Cell[CellGroupData[{ -Cell[9616, 348, 122, 4, 27, "Input", +Cell[9612, 348, 122, 4, 27, "Input", CellTags->"FCE", CellID->811786447], -Cell[9741, 354, 538, 16, 51, "Output", +Cell[9737, 354, 538, 16, 51, "Output", CellTags->"FCE"] }, Open ]], Cell[CellGroupData[{ -Cell[10316, 375, 114, 4, 27, "Input", +Cell[10312, 375, 114, 4, 27, "Input", CellTags->"FCE", CellID->1616474928], -Cell[10433, 381, 1466, 60, 42, "Output", +Cell[10429, 381, 1466, 60, 42, "Output", CellTags->"FCE"] }, Open ]], Cell[CellGroupData[{ -Cell[11936, 446, 121, 4, 27, "Input", +Cell[11932, 446, 121, 4, 27, "Input", CellTags->"FCE", CellID->46978122], -Cell[12060, 452, 979, 27, 103, "Output", +Cell[12056, 452, 979, 27, 103, "Output", CellTags->"FCE"] }, Open ]], Cell[CellGroupData[{ -Cell[13076, 484, 153, 5, 27, "Input", +Cell[13072, 484, 153, 5, 27, "Input", CellTags->"FCE", CellID->1508698339], -Cell[13232, 491, 538, 16, 51, "Output", +Cell[13228, 491, 538, 16, 51, "Output", CellTags->"FCE"] }, Open ]] }, Open ]], -Cell[13797, 511, 31, 0, 29, "SectionFooterSpacer"] +Cell[13793, 511, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[13865, 516, 270, 12, 31, "SeeAlsoSection", +Cell[13861, 516, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[14138, 530, 538, 19, 56, "SeeAlso"] +Cell[14134, 530, 538, 19, 56, "SeeAlso"] }, Open ]], -Cell[14691, 552, 23, 0, 41, "FooterCell"] +Cell[14687, 552, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCEnableTraditionalFormOutput.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCEnableTraditionalFormOutput.nb index 188e703f0..3b9195022 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCEnableTraditionalFormOutput.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCEnableTraditionalFormOutput.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10631, 347] -NotebookOptionsPosition[ 7398, 253] -NotebookOutlinePosition[ 9704, 313] -CellTagsIndexPosition[ 9620, 308] +NotebookDataLength[ 10573, 346] +NotebookOptionsPosition[ 7399, 253] +NotebookOutlinePosition[ 9645, 312] +CellTagsIndexPosition[ 9561, 307] WindowTitle->FCEnableTraditionalFormOutput WindowFrame->Normal*) @@ -84,7 +84,7 @@ FCEnableTraditionalFormOutput.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$97506], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$98078], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCEnableTraditionalFormOutput", ".html"]], @@ -146,7 +146,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1738119036], + CellID->1349952203], Cell[CellGroupData[{ @@ -156,7 +156,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->460522737], + CellID->1225615667], Cell[BoxData[ RowBox[{"FCDisableTraditionalFormOutput", "[", "]"}]], "Input", @@ -254,7 +254,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"FCEnableTraditionalFormOutput", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -266,7 +266,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 57.518923}", + "built" -> "{2020, 6, 20, 19, 5, 15.440184}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -289,8 +289,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -302,12 +301,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4759, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1738119036]} + CellID->1349952203]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9476, 301} + {"PrimaryExamplesSection", 9417, 300} } *) (*NotebookFileOutline @@ -320,35 +319,35 @@ Cell[4207, 116, 527, 13, 102, "Usage", Cell[CellGroupData[{ Cell[4759, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1738119036], + CellID->1349952203], Cell[CellGroupData[{ -Cell[5172, 152, 195, 6, 26, "ExampleSection", - CellID->460522737], -Cell[5370, 160, 122, 3, 27, "Input", +Cell[5172, 152, 196, 6, 26, "ExampleSection", + CellID->1225615667], +Cell[5371, 160, 122, 3, 27, "Input", CellID->1038938737], Cell[CellGroupData[{ -Cell[5517, 167, 125, 4, 27, "Input", +Cell[5518, 167, 125, 4, 27, "Input", CellID->272206574], -Cell[5645, 173, 213, 7, 36, "Output", +Cell[5646, 173, 213, 7, 36, "Output", CellID->614182227] }, Open ]], -Cell[5873, 183, 121, 3, 27, "Input", +Cell[5874, 183, 121, 3, 27, "Input", CellID->2126693435], Cell[CellGroupData[{ -Cell[6019, 190, 125, 4, 27, "Input", +Cell[6020, 190, 125, 4, 27, "Input", CellID->502881580], -Cell[6147, 196, 381, 16, 37, "Output", +Cell[6148, 196, 381, 16, 37, "Output", CellID->642295632] }, Open ]] }, Open ]], -Cell[6555, 216, 31, 0, 29, "SectionFooterSpacer"] +Cell[6556, 216, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6623, 221, 270, 12, 31, "SeeAlsoSection", +Cell[6624, 221, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6896, 235, 460, 13, 57, "SeeAlso"] +Cell[6897, 235, 460, 13, 57, "SeeAlso"] }, Open ]], -Cell[7371, 251, 23, 0, 41, "FooterCell"] +Cell[7372, 251, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCF.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCF.nb index 64e9f23b2..d24e69225 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCF.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCF.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5342, 155] -NotebookOptionsPosition[ 3534, 105] -NotebookOutlinePosition[ 5278, 152] -CellTagsIndexPosition[ 5235, 149] +NotebookDataLength[ 5344, 155] +NotebookOptionsPosition[ 3535, 105] +NotebookOutlinePosition[ 5280, 152] +CellTagsIndexPosition[ 5237, 149] WindowTitle->FCF WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$99718], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$100290], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCF", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 3.392519}", + "built" -> "{2020, 6, 20, 19, 5, 20.640172}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -151,12 +151,12 @@ CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ -Cell[575, 21, 2265, 53, 70, "AnchorBarGrid", +Cell[575, 21, 2266, 53, 70, "AnchorBarGrid", CellID->1], -Cell[2843, 76, 280, 11, 70, "ObjectNameGrid"], -Cell[3126, 89, 378, 12, 70, "Usage", +Cell[2844, 76, 280, 11, 70, "ObjectNameGrid"], +Cell[3127, 89, 378, 12, 70, "Usage", CellID->982511436], -Cell[3507, 103, 23, 0, 70, "FooterCell"] +Cell[3508, 103, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFAConvert.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFAConvert.nb index a221f7977..bebbf7e68 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFAConvert.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFAConvert.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9404, 301] -NotebookOptionsPosition[ 6584, 217] -NotebookOutlinePosition[ 8655, 273] -CellTagsIndexPosition[ 8571, 268] +NotebookDataLength[ 9353, 300] +NotebookOptionsPosition[ 6585, 217] +NotebookOutlinePosition[ 8603, 272] +CellTagsIndexPosition[ 8519, 267] WindowTitle->FCFAConvert WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCFAConvert.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$98396], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$98968], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCFAConvert", ".html"]], None}]}]}, @@ -128,7 +128,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1355928475], + CellID->1503606918], Cell["", "SectionHeaderSpacer"], @@ -193,7 +193,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->67420831], + CellID->988054583], Cell[CellGroupData[{ @@ -203,7 +203,7 @@ Cell[TextData[{ Cell["(0)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->461448620], + CellID->599871276], Cell["\<\ For examples on using FCFAConvert please examine the example calculations \ @@ -218,7 +218,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCFAConvert", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -230,7 +230,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 59.987780}", + "built" -> "{2020, 6, 20, 19, 5, 17.546365}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -249,8 +249,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -260,14 +259,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5778, 180, 386, 15, 31, "PrimaryExamplesSection", + Cell[5778, 180, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->67420831]} + CellID->988054583]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8429, 261} + {"PrimaryExamplesSection", 8376, 260} } *) (*NotebookFileOutline @@ -281,7 +280,7 @@ Cell[3184, 91, 381, 11, 85, "Usage", Cell[CellGroupData[{ Cell[3590, 106, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1355928475], + CellID->1503606918], Cell[4332, 132, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4388, 136, 115, 3, 70, "Input", @@ -292,17 +291,17 @@ Cell[4506, 141, 1211, 32, 94, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5778, 180, 386, 15, 31, "PrimaryExamplesSection", +Cell[5778, 180, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->67420831], + CellID->988054583], Cell[CellGroupData[{ -Cell[6189, 199, 195, 6, 26, "ExampleSection", - CellID->461448620], -Cell[6387, 207, 143, 4, 49, "Notes", +Cell[6190, 199, 195, 6, 26, "ExampleSection", + CellID->599871276], +Cell[6388, 207, 143, 4, 49, "Notes", CellID->930737328] }, Open ]] }, Open ]], -Cell[6557, 215, 23, 0, 41, "FooterCell"] +Cell[6558, 215, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFADiracChainJoin.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFADiracChainJoin.nb index e2fe769c9..123480f0c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFADiracChainJoin.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFADiracChainJoin.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 28823, 967] -NotebookOptionsPosition[ 24747, 849] -NotebookOutlinePosition[ 27246, 910] -CellTagsIndexPosition[ 27161, 905] +NotebookDataLength[ 28829, 967] +NotebookOptionsPosition[ 24749, 849] +NotebookOutlinePosition[ 27250, 910] +CellTagsIndexPosition[ 27165, 905] WindowTitle->FCFADiracChainJoin WindowFrame->Normal*) @@ -96,7 +96,7 @@ FCFADiracChainJoin.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$99268], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$99840], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCFADiracChainJoin", ".html"]], None}]}]}, @@ -196,7 +196,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->337961518], + CellID->2109144655], Cell["", "SectionHeaderSpacer"], @@ -244,7 +244,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->556431460], + CellID->1348316473], Cell[CellGroupData[{ @@ -254,7 +254,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1156856462], + CellID->2034067903], Cell["Create a closed chain for the 1-loop electron self-energy", \ "ExampleText", @@ -862,7 +862,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 2.155941}", + "built" -> "{2020, 6, 20, 19, 5, 19.570278}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -897,14 +897,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7858, 231, 387, 15, 31, "PrimaryExamplesSection", + Cell[7859, 231, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->556431460]} + CellID->1348316473]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 27018, 898} + {"PrimaryExamplesSection", 27021, 898} } *) (*NotebookFileOutline @@ -916,59 +916,59 @@ Cell[CellGroupData[{ Cell[4861, 129, 1484, 41, 162, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[6370, 174, 738, 24, 31, "NotesSection", +Cell[6370, 174, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->337961518], -Cell[7111, 200, 31, 0, 70, "SectionHeaderSpacer"], + CellID->2109144655], +Cell[7112, 200, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[7167, 204, 120, 3, 70, "Input", +Cell[7168, 204, 120, 3, 70, "Input", CellID->627296657], -Cell[7290, 209, 507, 15, 56, "Output", +Cell[7291, 209, 507, 15, 56, "Output", CellID->534360570] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7858, 231, 387, 15, 31, "PrimaryExamplesSection", +Cell[7859, 231, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->556431460], + CellID->1348316473], Cell[CellGroupData[{ -Cell[8270, 250, 196, 6, 26, "ExampleSection", - CellID->1156856462], -Cell[8469, 258, 103, 2, 36, "ExampleText", +Cell[8272, 250, 196, 6, 26, "ExampleSection", + CellID->2034067903], +Cell[8471, 258, 103, 2, 36, "ExampleText", CellID->2049760779], Cell[CellGroupData[{ -Cell[8597, 264, 1310, 42, 79, "Input", +Cell[8599, 264, 1310, 42, 79, "Input", CellID->846878145], -Cell[9910, 308, 5241, 182, 68, "Output", +Cell[9912, 308, 5241, 182, 68, "Output", CellID->390335649] }, Open ]], Cell[CellGroupData[{ -Cell[15188, 495, 139, 4, 27, "Input", +Cell[15190, 495, 139, 4, 27, "Input", CellID->851451022], -Cell[15330, 501, 3267, 114, 69, "Output", +Cell[15332, 501, 3267, 114, 69, "Output", CellID->1005085356] }, Open ]], -Cell[18612, 618, 240, 5, 69, "ExampleText", +Cell[18614, 618, 240, 5, 69, "ExampleText", CellID->1333043386], Cell[CellGroupData[{ -Cell[18877, 627, 334, 11, 29, "Input", +Cell[18879, 627, 334, 11, 29, "Input", CellID->163807183], -Cell[19214, 640, 3215, 113, 68, "Output", +Cell[19216, 640, 3215, 113, 68, "Output", CellID->412221356] }, Open ]], -Cell[22444, 756, 159, 4, 53, "ExampleText", +Cell[22446, 756, 159, 4, 53, "ExampleText", CellID->1813732719] }, Open ]], -Cell[22618, 763, 31, 0, 29, "SectionFooterSpacer"] +Cell[22620, 763, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[22686, 768, 270, 12, 31, "SeeAlsoSection", +Cell[22688, 768, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[22959, 782, 1746, 62, 71, "SeeAlso", +Cell[22961, 782, 1746, 62, 71, "SeeAlso", CellID->655647701] }, Open ]], -Cell[24720, 847, 23, 0, 41, "FooterCell"] +Cell[24722, 847, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFactorOut.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFactorOut.nb index 979530f13..f3e11fb3f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFactorOut.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCFactorOut.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10260, 350] +NotebookDataLength[ 10206, 349] NotebookOptionsPosition[ 7108, 255] -NotebookOutlinePosition[ 9264, 312] -CellTagsIndexPosition[ 9180, 307] +NotebookOutlinePosition[ 9210, 311] +CellTagsIndexPosition[ 9126, 306] WindowTitle->FCFactorOut WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCFactorOut.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$98823], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$99395], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCFactorOut", ".html"]], None}]}]}, @@ -138,7 +138,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1773075832], + CellID->1050374563], Cell["", "SectionHeaderSpacer"], @@ -182,7 +182,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->904291600], + CellID->1642393965], Cell[CellGroupData[{ @@ -192,7 +192,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1337039958], + CellID->336247320], Cell[CellGroupData[{ @@ -268,7 +268,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 1.029694}", + "built" -> "{2020, 6, 20, 19, 5, 18.541448}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -288,8 +288,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -299,14 +298,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5208, 169, 387, 15, 31, "PrimaryExamplesSection", + Cell[5208, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->904291600]} + CellID->1642393965]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9037, 300} + {"PrimaryExamplesSection", 8982, 299} } *) (*NotebookFileOutline @@ -320,7 +319,7 @@ Cell[3184, 91, 697, 21, 102, "Usage", Cell[CellGroupData[{ Cell[3906, 116, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1773075832], + CellID->1050374563], Cell[4648, 142, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4704, 146, 114, 3, 70, "Input", @@ -331,12 +330,12 @@ Cell[4821, 151, 326, 11, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5208, 169, 387, 15, 31, "PrimaryExamplesSection", +Cell[5208, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->904291600], + CellID->1642393965], Cell[CellGroupData[{ -Cell[5620, 188, 196, 6, 26, "ExampleSection", - CellID->1337039958], +Cell[5621, 188, 195, 6, 26, "ExampleSection", + CellID->336247320], Cell[CellGroupData[{ Cell[5841, 198, 229, 8, 27, "Input", CellID->747205434], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetDimensions.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetDimensions.nb index d82ba8fca..3eec709e7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetDimensions.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetDimensions.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10396, 354] +NotebookDataLength[ 10341, 353] NotebookOptionsPosition[ 7119, 255] -NotebookOutlinePosition[ 9305, 313] -CellTagsIndexPosition[ 9221, 308] +NotebookOutlinePosition[ 9250, 312] +CellTagsIndexPosition[ 9166, 307] WindowTitle->FCGetDimensions WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCGetDimensions.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$100154], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$100726], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCGetDimensions", ".html"]], None}]}]}, @@ -130,7 +130,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2044233403], + CellID->118944122], Cell["", "SectionHeaderSpacer"], @@ -178,7 +178,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->158367676], + CellID->2093688940], Cell[CellGroupData[{ @@ -188,7 +188,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->966743805], + CellID->728821384], Cell[CellGroupData[{ @@ -201,7 +201,7 @@ Cell[BoxData[ Cell[BoxData[ FormBox[ RowBox[{"{", "4", "}"}], TraditionalForm]], "Output", - ImageSize->{25, 14}, + ImageSize->{25, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[1]=", @@ -219,7 +219,7 @@ Cell[BoxData[ Cell[BoxData[ FormBox[ RowBox[{"{", "D", "}"}], TraditionalForm]], "Output", - ImageSize->{31, 14}, + ImageSize->{31, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[2]=", @@ -242,7 +242,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"4", ",", RowBox[{"D", "-", "4"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{74, 14}, + ImageSize->{74, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[3]=", @@ -255,8 +255,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCGetDimensions", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -268,7 +268,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 4.451963}", + "built" -> "{2020, 6, 20, 19, 5, 21.448504}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -289,8 +289,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -300,14 +299,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5159, 165, 387, 15, 31, "PrimaryExamplesSection", + Cell[5158, 165, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->158367676]} + CellID->2093688940]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9078, 301} + {"PrimaryExamplesSection", 9022, 300} } *) (*NotebookFileOutline @@ -316,41 +315,41 @@ Cell[587, 21, 2302, 53, 53, "AnchorBarGrid", CellID->1], Cell[2892, 76, 292, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[3209, 91, 479, 13, 101, "Usage", +Cell[3209, 91, 479, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3713, 108, 739, 24, 31, "NotesSection", +Cell[3713, 108, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2044233403], -Cell[4455, 134, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4489, 136, 361, 14, 70, "Notes", + CellID->118944122], +Cell[4454, 134, 31, 0, 70, "SectionHeaderSpacer"], +Cell[4488, 136, 361, 14, 70, "Notes", CellID->1067943069], -Cell[4853, 152, 257, 7, 70, "Notes"] +Cell[4852, 152, 257, 7, 70, "Notes"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5159, 165, 387, 15, 31, "PrimaryExamplesSection", +Cell[5158, 165, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->158367676], + CellID->2093688940], Cell[CellGroupData[{ Cell[5571, 184, 195, 6, 26, "ExampleSection", - CellID->966743805], + CellID->728821384], Cell[CellGroupData[{ Cell[5791, 194, 140, 4, 27, "Input", CellID->794908219], -Cell[5934, 200, 210, 7, 35, "Output", +Cell[5934, 200, 210, 7, 37, "Output", CellID->2110485460] }, Open ]], Cell[CellGroupData[{ Cell[6181, 212, 141, 4, 27, "Input", CellID->166685856], -Cell[6325, 218, 210, 7, 35, "Output", +Cell[6325, 218, 210, 7, 37, "Output", CellID->1698743533] }, Open ]], Cell[CellGroupData[{ Cell[6572, 230, 219, 7, 27, "Input", CellID->396565854], -Cell[6794, 239, 259, 9, 35, "Output", +Cell[6794, 239, 259, 9, 37, "Output", CellID->1155109353] }, Open ]] }, Open ]] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetDiracGammaScheme.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetDiracGammaScheme.nb index 582b84505..07379d680 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetDiracGammaScheme.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetDiracGammaScheme.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11961, 416] -NotebookOptionsPosition[ 8368, 304] -NotebookOutlinePosition[ 10526, 361] -CellTagsIndexPosition[ 10441, 356] +NotebookDataLength[ 11908, 415] +NotebookOptionsPosition[ 8369, 304] +NotebookOutlinePosition[ 10472, 360] +CellTagsIndexPosition[ 10387, 355] WindowTitle->FCGetDiracGammaScheme WindowFrame->Normal*) @@ -81,7 +81,7 @@ FCGetDiracGammaScheme.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$100586], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$101158], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCGetDiracGammaScheme", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->676800887], + CellID->1506011346], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->243180492], + CellID->138943516], Cell[CellGroupData[{ @@ -305,7 +305,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCGetDiracGammaScheme", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -317,7 +317,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 5.629431}", + "built" -> "{2020, 6, 20, 19, 5, 22.560496}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -337,8 +337,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -348,14 +347,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4572, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4572, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->676800887]} + CellID->1506011346]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10298, 349} + {"PrimaryExamplesSection", 10243, 348} } *) (*NotebookFileOutline @@ -366,58 +365,58 @@ Cell[3775, 99, 298, 11, 45, "ObjectNameGrid"], Cell[4076, 112, 471, 14, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4572, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4572, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->676800887], + CellID->1506011346], Cell[CellGroupData[{ -Cell[4984, 149, 195, 6, 26, "ExampleSection", - CellID->243180492], +Cell[4985, 149, 195, 6, 26, "ExampleSection", + CellID->138943516], Cell[CellGroupData[{ -Cell[5204, 159, 129, 3, 27, "Input", +Cell[5205, 159, 129, 3, 27, "Input", CellID->1255432024], -Cell[5336, 164, 197, 6, 35, "Output", +Cell[5337, 164, 197, 6, 35, "Output", CellID->194332146] }, Open ]], Cell[CellGroupData[{ -Cell[5570, 175, 113, 3, 27, "Input", +Cell[5571, 175, 113, 3, 27, "Input", CellID->2114804275], -Cell[5686, 180, 198, 6, 35, "Output", +Cell[5687, 180, 198, 6, 35, "Output", CellID->1670408026] }, Open ]], Cell[CellGroupData[{ -Cell[5921, 191, 100, 3, 27, "Input", +Cell[5922, 191, 100, 3, 27, "Input", CellID->457303046], -Cell[6024, 196, 335, 12, 50, "Output", +Cell[6025, 196, 335, 12, 50, "Output", CellID->1572430226] }, Open ]], Cell[CellGroupData[{ -Cell[6396, 213, 127, 3, 27, "Input", +Cell[6397, 213, 127, 3, 27, "Input", CellID->823869442], -Cell[6526, 218, 197, 6, 35, "Output", +Cell[6527, 218, 197, 6, 35, "Output", CellID->1801779332] }, Open ]], Cell[CellGroupData[{ -Cell[6760, 229, 113, 3, 27, "Input", +Cell[6761, 229, 113, 3, 27, "Input", CellID->1234674201], -Cell[6876, 234, 196, 6, 35, "Output", +Cell[6877, 234, 196, 6, 35, "Output", CellID->549786237] }, Open ]], Cell[CellGroupData[{ -Cell[7109, 245, 101, 3, 27, "Input", +Cell[7110, 245, 101, 3, 27, "Input", CellID->1736915585], -Cell[7213, 250, 334, 12, 50, "Output", +Cell[7214, 250, 334, 12, 50, "Output", CellID->1209449234] }, Open ]] }, Open ]], -Cell[7574, 266, 31, 0, 29, "SectionFooterSpacer"] +Cell[7575, 266, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7642, 271, 270, 12, 70, "SeeAlsoSection", +Cell[7643, 271, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[7915, 285, 411, 14, 70, "SeeAlso", +Cell[7916, 285, 411, 14, 70, "SeeAlso", CellID->830480392] }, Open ]], -Cell[8341, 302, 23, 0, 70, "FooterCell"] +Cell[8342, 302, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetMetricSignature.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetMetricSignature.nb index 71798b938..1a8c23a17 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetMetricSignature.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetMetricSignature.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9183, 291] -NotebookOptionsPosition[ 6211, 207] -NotebookOutlinePosition[ 8505, 266] -CellTagsIndexPosition[ 8421, 261] +NotebookDataLength[ 9124, 290] +NotebookOptionsPosition[ 6210, 207] +NotebookOutlinePosition[ 8447, 265] +CellTagsIndexPosition[ 8363, 260] WindowTitle->FCGetMetricSignature WindowFrame->Normal*) @@ -79,7 +79,7 @@ FCGetMetricSignature.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$101025], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$101597], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCGetMetricSignature", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1032740090], + CellID->298986136], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->426070038], + CellID->222115181], Cell[CellGroupData[{ @@ -165,7 +165,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"1", ",", RowBox[{"-", "1"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{50, 14}, + ImageSize->{50, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[1]=", @@ -220,7 +220,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 6.818436}", + "built" -> "{2020, 6, 20, 19, 5, 23.656179}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -242,8 +242,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -253,14 +252,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4556, 128, 388, 15, 31, "PrimaryExamplesSection", + Cell[4556, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1032740090]} + CellID->298986136]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8277, 254} + {"PrimaryExamplesSection", 8220, 253} } *) (*NotebookFileOutline @@ -268,31 +267,31 @@ Notebook[{ Cell[592, 21, 3075, 74, 53, "AnchorBarGrid", CellID->1], Cell[3670, 97, 297, 11, 45, "ObjectNameGrid"], -Cell[3970, 110, 561, 14, 102, "Usage", +Cell[3970, 110, 561, 14, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4556, 128, 388, 15, 31, "PrimaryExamplesSection", +Cell[4556, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1032740090], + CellID->298986136], Cell[CellGroupData[{ -Cell[4969, 147, 195, 6, 26, "ExampleSection", - CellID->426070038], +Cell[4968, 147, 195, 6, 26, "ExampleSection", + CellID->222115181], Cell[CellGroupData[{ -Cell[5189, 157, 112, 3, 27, "Input", +Cell[5188, 157, 112, 3, 27, "Input", CellID->1470394767], -Cell[5304, 162, 254, 9, 35, "Output", +Cell[5303, 162, 254, 9, 37, "Output", CellID->1256978127] }, Open ]] }, Open ]], -Cell[5585, 175, 31, 0, 29, "SectionFooterSpacer"] +Cell[5584, 175, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[5653, 180, 270, 12, 31, "SeeAlsoSection", +Cell[5652, 180, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[5926, 194, 243, 8, 56, "SeeAlso", +Cell[5925, 194, 243, 8, 56, "SeeAlso", CellID->611711580] }, Open ]], -Cell[6184, 205, 23, 0, 41, "FooterCell"] +Cell[6183, 205, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetNotebookDirectory.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetNotebookDirectory.nb index 6267c60bc..38ed95eff 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetNotebookDirectory.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetNotebookDirectory.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5788, 159] +NotebookDataLength[ 5789, 159] NotebookOptionsPosition[ 3762, 106] -NotebookOutlinePosition[ 5724, 156] -CellTagsIndexPosition[ 5681, 153] +NotebookOutlinePosition[ 5725, 156] +CellTagsIndexPosition[ 5682, 153] WindowTitle->FCGetNotebookDirectory WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCGetNotebookDirectory.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$101457], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$102029], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCGetNotebookDirectory", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 7.930446}", + "built" -> "{2020, 6, 20, 19, 5, 24.643672}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetPauliSigmaScheme.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetPauliSigmaScheme.nb index f0ab88aa0..5138dfdd5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetPauliSigmaScheme.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGetPauliSigmaScheme.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10627, 350] +NotebookDataLength[ 10571, 349] NotebookOptionsPosition[ 7505, 258] -NotebookOutlinePosition[ 9662, 315] -CellTagsIndexPosition[ 9578, 310] +NotebookOutlinePosition[ 9606, 314] +CellTagsIndexPosition[ 9522, 309] WindowTitle->FCGetPauliSigmaScheme WindowFrame->Normal*) @@ -81,7 +81,7 @@ FCGetPauliSigmaScheme.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$101896], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$102468], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCGetPauliSigmaScheme", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1836078431], + CellID->1029402917], Cell["", "SectionHeaderSpacer"], @@ -189,7 +189,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1080118601], + CellID->1911615276], Cell[CellGroupData[{ @@ -199,7 +199,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->793943167], + CellID->556227337], Cell[CellGroupData[{ @@ -271,7 +271,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 8.808830}", + "built" -> "{2020, 6, 20, 19, 5, 25.467194}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -291,8 +291,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -304,12 +303,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5738, 176, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1080118601]} + CellID->1911615276]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9434, 303} + {"PrimaryExamplesSection", 9378, 302} } *) (*NotebookFileOutline @@ -323,7 +322,7 @@ Cell[4098, 114, 492, 15, 85, "Usage", Cell[CellGroupData[{ Cell[4615, 133, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1836078431], + CellID->1029402917], Cell[5357, 159, 31, 0, 70, "SectionHeaderSpacer"], Cell[5391, 161, 298, 9, 70, "Notes", CellID->1067943069] @@ -332,10 +331,10 @@ Cell[5391, 161, 298, 9, 70, "Notes", Cell[CellGroupData[{ Cell[5738, 176, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1080118601], + CellID->1911615276], Cell[CellGroupData[{ Cell[6151, 195, 195, 6, 26, "ExampleSection", - CellID->793943167], + CellID->556227337], Cell[CellGroupData[{ Cell[6371, 205, 113, 3, 27, "Input", CellID->1767975087], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGramDeterminant.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGramDeterminant.nb index d72b6d89a..18136284f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGramDeterminant.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGramDeterminant.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19917, 710] -NotebookOptionsPosition[ 16540, 608] -NotebookOutlinePosition[ 18698, 665] -CellTagsIndexPosition[ 18613, 660] +NotebookDataLength[ 19861, 709] +NotebookOptionsPosition[ 16541, 608] +NotebookOutlinePosition[ 18641, 664] +CellTagsIndexPosition[ 18556, 659] WindowTitle->FCGramDeterminant WindowFrame->Normal*) @@ -79,7 +79,7 @@ FCGramDeterminant.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$102333], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$102905], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCGramDeterminant", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->942693365], + CellID->255006629], Cell["", "SectionHeaderSpacer"], @@ -201,7 +201,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->938469830], + CellID->1802565084], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->315555836], + CellID->870011536], Cell[CellGroupData[{ @@ -356,7 +356,7 @@ Cell[BoxData[ FormBox["p3", TraditionalForm], TraditionalForm]}], ")"}]}]}], ")"}]}], TraditionalForm]], "Output", - ImageSize->{637, 21}, + ImageSize->{421, 45}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[1]=", @@ -608,8 +608,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"FCGramDeterminant", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -621,7 +621,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 9.957812}", + "built" -> "{2020, 6, 20, 19, 5, 26.573763}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -641,8 +641,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -652,14 +651,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6010, 188, 387, 15, 31, "PrimaryExamplesSection", + Cell[6010, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->938469830]} + CellID->1802565084]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 18470, 653} + {"PrimaryExamplesSection", 18412, 652} } *) (*NotebookFileOutline @@ -673,7 +672,7 @@ Cell[3958, 112, 499, 14, 85, "Usage", Cell[CellGroupData[{ Cell[4482, 130, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->942693365], + CellID->255006629], Cell[5223, 156, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5279, 160, 121, 3, 70, "Input", @@ -684,34 +683,34 @@ Cell[5403, 165, 546, 16, 56, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6010, 188, 387, 15, 31, "PrimaryExamplesSection", +Cell[6010, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->938469830], + CellID->1802565084], Cell[CellGroupData[{ -Cell[6422, 207, 195, 6, 26, "ExampleSection", - CellID->315555836], +Cell[6423, 207, 195, 6, 26, "ExampleSection", + CellID->870011536], Cell[CellGroupData[{ -Cell[6642, 217, 174, 5, 27, "Input", +Cell[6643, 217, 174, 5, 27, "Input", CellID->1541349942], -Cell[6819, 224, 3582, 138, 42, "Output", +Cell[6820, 224, 3582, 138, 66, "Output", CellID->477443900] }, Open ]], Cell[CellGroupData[{ -Cell[10438, 367, 383, 11, 45, "Input", +Cell[10439, 367, 383, 11, 45, "Input", CellID->385771881], -Cell[10824, 380, 5086, 192, 66, "Output", +Cell[10825, 380, 5086, 192, 66, "Output", CellID->1559843658] }, Open ]] }, Open ]], -Cell[15937, 576, 31, 0, 29, "SectionFooterSpacer"] +Cell[15938, 576, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[16005, 581, 270, 12, 31, "SeeAlsoSection", +Cell[16006, 581, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[16278, 595, 220, 8, 56, "SeeAlso", +Cell[16279, 595, 220, 8, 56, "SeeAlso", CellID->1187943367] }, Open ]], -Cell[16513, 606, 23, 0, 41, "FooterCell"] +Cell[16514, 606, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGramMatrix.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGramMatrix.nb index d08b4838c..4b33e48c4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGramMatrix.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCGramMatrix.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 31797, 1161] +NotebookDataLength[ 31740, 1160] NotebookOptionsPosition[ 28003, 1041] -NotebookOutlinePosition[ 30105, 1098] -CellTagsIndexPosition[ 30019, 1093] +NotebookOutlinePosition[ 30048, 1097] +CellTagsIndexPosition[ 29962, 1092] WindowTitle->FCGramMatrix WindowFrame->Normal*) @@ -79,7 +79,7 @@ FCGramMatrix.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$102771], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$103343], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCGramMatrix", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2082908633], + CellID->1991246486], Cell["", "SectionHeaderSpacer"], @@ -200,7 +200,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1656134055], + CellID->1755669873], Cell[CellGroupData[{ @@ -210,7 +210,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->525944430], + CellID->991639566], Cell[CellGroupData[{ @@ -1054,7 +1054,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 11.161244}", + "built" -> "{2020, 6, 20, 19, 5, 27.589161}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1074,8 +1074,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1087,12 +1086,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5894, 187, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1656134055]} + CellID->1755669873]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 29875, 1086} + {"PrimaryExamplesSection", 29818, 1085} } *) (*NotebookFileOutline @@ -1106,10 +1105,10 @@ Cell[3938, 112, 469, 14, 85, "Usage", Cell[CellGroupData[{ Cell[4432, 130, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2082908633], -Cell[5174, 156, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1991246486], +Cell[5174, 156, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5230, 160, 116, 3, 70, "Input", +Cell[5230, 160, 116, 3, 27, "Input", CellID->631629911], Cell[5349, 165, 484, 15, 37, "Output", CellID->924279704] @@ -1119,10 +1118,10 @@ Cell[5349, 165, 484, 15, 37, "Output", Cell[CellGroupData[{ Cell[5894, 187, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1656134055], + CellID->1755669873], Cell[CellGroupData[{ Cell[6307, 206, 195, 6, 26, "ExampleSection", - CellID->525944430], + CellID->991639566], Cell[CellGroupData[{ Cell[6527, 216, 157, 5, 27, "Input", CellID->946770183], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCHideEpsilon.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCHideEpsilon.nb index b3dd9ee73..8b6d63b01 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCHideEpsilon.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCHideEpsilon.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12921, 458] -NotebookOptionsPosition[ 9208, 339] -NotebookOutlinePosition[ 11320, 396] -CellTagsIndexPosition[ 11235, 391] +NotebookDataLength[ 12856, 457] +NotebookOptionsPosition[ 9206, 339] +NotebookOutlinePosition[ 11257, 395] +CellTagsIndexPosition[ 11172, 390] WindowTitle->FCHideEpsilon WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCHideEpsilon.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$103207], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$103779], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCHideEpsilon", ".html"]], None}]}]}, @@ -137,7 +137,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1137093577], + CellID->1711624907], Cell["", "SectionHeaderSpacer"], @@ -192,7 +192,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1246769443], + CellID->958138428], Cell[CellGroupData[{ @@ -202,7 +202,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->986467167], + CellID->69771585], Cell[CellGroupData[{ @@ -340,7 +340,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"FCHideEpsilon", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -352,7 +352,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 12.433420}", + "built" -> "{2020, 6, 20, 19, 5, 28.767932}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -372,8 +372,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -383,14 +382,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5544, 179, 388, 15, 31, "PrimaryExamplesSection", + Cell[5544, 179, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1246769443]} + CellID->958138428]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11091, 384} + {"PrimaryExamplesSection", 11029, 383} } *) (*NotebookFileOutline @@ -404,7 +403,7 @@ Cell[3197, 91, 667, 20, 85, "Usage", Cell[CellGroupData[{ Cell[3889, 115, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1137093577], + CellID->1711624907], Cell[4631, 141, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4687, 145, 116, 3, 70, "Input", @@ -415,51 +414,51 @@ Cell[4806, 150, 677, 22, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5544, 179, 388, 15, 31, "PrimaryExamplesSection", +Cell[5544, 179, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1246769443], + CellID->958138428], Cell[CellGroupData[{ -Cell[5957, 198, 195, 6, 26, "ExampleSection", - CellID->986467167], +Cell[5956, 198, 194, 6, 26, "ExampleSection", + CellID->69771585], Cell[CellGroupData[{ -Cell[6177, 208, 190, 6, 27, "Input", +Cell[6175, 208, 190, 6, 27, "Input", CellID->689856247], -Cell[6370, 216, 408, 14, 56, "Output", +Cell[6368, 216, 408, 14, 56, "Output", CellID->1799260438] }, Open ]], Cell[CellGroupData[{ -Cell[6815, 235, 109, 3, 27, "Input", +Cell[6813, 235, 109, 3, 27, "Input", CellID->797045486], -Cell[6927, 240, 209, 6, 35, "Output", +Cell[6925, 240, 209, 6, 35, "Output", CellID->1721094091] }, Open ]], Cell[CellGroupData[{ -Cell[7173, 251, 192, 6, 27, "Input", +Cell[7171, 251, 192, 6, 27, "Input", CellID->683090948], -Cell[7368, 259, 398, 13, 59, "Output", +Cell[7366, 259, 398, 13, 59, "Output", CellID->1053040782] }, Open ]], Cell[CellGroupData[{ -Cell[7803, 277, 110, 3, 27, "Input", +Cell[7801, 277, 110, 3, 27, "Input", CellID->1248592482], -Cell[7916, 282, 223, 7, 37, "Output", +Cell[7914, 282, 223, 7, 37, "Output", CellID->614374293] }, Open ]], Cell[CellGroupData[{ -Cell[8176, 294, 193, 6, 27, "Input", +Cell[8174, 294, 193, 6, 27, "Input", CellID->2072723527], -Cell[8372, 302, 397, 13, 59, "Output", +Cell[8370, 302, 397, 13, 59, "Output", CellID->775606093] }, Open ]], Cell[CellGroupData[{ -Cell[8806, 320, 109, 3, 27, "Input", +Cell[8804, 320, 109, 3, 70, "Input", CellID->577739633], -Cell[8918, 325, 224, 7, 37, "Output", +Cell[8916, 325, 224, 7, 37, "Output", CellID->1128425775] }, Open ]] }, Open ]] }, Open ]], -Cell[9181, 337, 23, 0, 41, "FooterCell"] +Cell[9179, 337, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCI.nb index 335869208..bd4d154f2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCI.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16703, 596] +NotebookDataLength[ 16645, 595] NotebookOptionsPosition[ 12489, 459] -NotebookOutlinePosition[ 15351, 543] -CellTagsIndexPosition[ 15244, 537] +NotebookOutlinePosition[ 15293, 542] +CellTagsIndexPosition[ 15186, 536] WindowTitle->FCI WindowFrame->Normal*) @@ -83,7 +83,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$103649], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$104221], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCI", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->832557140], + CellID->72133955], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->249558270], + CellID->1248713110], Cell[CellGroupData[{ @@ -460,7 +460,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCI", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -472,7 +472,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 13.648496}", + "built" -> "{2020, 6, 20, 19, 5, 29.767288}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -492,8 +492,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -503,9 +502,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4526, 131, 387, 15, 31, "PrimaryExamplesSection", + Cell[4526, 131, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->832557140]}, + CellID->72133955]}, "FCI"->{ Cell[5158, 160, 455, 14, 27, "Input", CellTags->"FCI", @@ -536,8 +535,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14363, 504}, - {"FCI", 14493, 508} + {"PrimaryExamplesSection", 14306, 503}, + {"FCI", 14435, 507} } *) (*NotebookFileOutline @@ -548,12 +547,12 @@ Cell[3770, 101, 280, 11, 45, "ObjectNameGrid"], Cell[4053, 114, 448, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4526, 131, 387, 15, 31, "PrimaryExamplesSection", +Cell[4526, 131, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->832557140], + CellID->72133955], Cell[CellGroupData[{ -Cell[4938, 150, 195, 6, 26, "ExampleSection", - CellID->249558270], +Cell[4937, 150, 196, 6, 26, "ExampleSection", + CellID->1248713110], Cell[CellGroupData[{ Cell[5158, 160, 455, 14, 27, "Input", CellTags->"FCI", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCIntegral.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCIntegral.nb index fd53d6ef9..02cbd0dcf 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCIntegral.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCIntegral.nb @@ -82,7 +82,7 @@ FCIntegral.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$104089], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$104661], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCIntegral", ".html"]], None}]}]}, @@ -174,7 +174,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 14.941564}", + "built" -> "{2020, 6, 20, 19, 5, 30.865989}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCIntegrate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCIntegrate.nb index 496f493d6..b82a2a5a5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCIntegrate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCIntegrate.nb @@ -79,7 +79,7 @@ FCIntegrate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$104532], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$105104], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCIntegrate", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 15.788449}", + "built" -> "{2020, 6, 20, 19, 5, 31.662948}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisCreateScalarProducts.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisCreateScalarProducts.nb index 0186ec8e4..a70e0eff1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisCreateScalarProducts.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisCreateScalarProducts.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12445, 421] -NotebookOptionsPosition[ 8808, 315] -NotebookOutlinePosition[ 11302, 377] -CellTagsIndexPosition[ 11217, 372] +NotebookDataLength[ 12396, 420] +NotebookOptionsPosition[ 8810, 315] +NotebookOutlinePosition[ 11251, 376] +CellTagsIndexPosition[ 11166, 371] WindowTitle->FCLoopBasisCreateScalarProducts WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopBasisCreateScalarProducts.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$104973], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$105545], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopBasisCreateScalarProducts", ".html"]], @@ -144,7 +144,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->57625812], + CellID->106899710], Cell["", "SectionHeaderSpacer"], @@ -186,7 +186,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->41001967], + CellID->1575740873], Cell[CellGroupData[{ @@ -196,7 +196,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->316979101], + CellID->89284045], Cell[CellGroupData[{ @@ -316,7 +316,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopBasisCreateScalarProducts", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -328,7 +328,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 16.623085}", + "built" -> "{2020, 6, 20, 19, 5, 32.750475}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -353,8 +353,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -364,14 +363,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5582, 173, 386, 15, 31, "PrimaryExamplesSection", + Cell[5583, 173, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->41001967]} + CellID->1575740873]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11075, 365} + {"PrimaryExamplesSection", 11022, 364} } *) (*NotebookFileOutline @@ -383,46 +382,46 @@ Cell[CellGroupData[{ Cell[3338, 94, 962, 24, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4325, 122, 737, 24, 31, "NotesSection", +Cell[4325, 122, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->57625812], -Cell[5065, 148, 31, 0, 70, "SectionHeaderSpacer"], + CellID->106899710], +Cell[5066, 148, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5121, 152, 134, 3, 70, "Input", +Cell[5122, 152, 134, 3, 70, "Input", CellID->534446904], -Cell[5258, 157, 263, 9, 37, "Output", +Cell[5259, 157, 263, 9, 37, "Output", CellID->245430398] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5582, 173, 386, 15, 31, "PrimaryExamplesSection", +Cell[5583, 173, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->41001967], + CellID->1575740873], Cell[CellGroupData[{ -Cell[5993, 192, 195, 6, 26, "ExampleSection", - CellID->316979101], +Cell[5996, 192, 194, 6, 26, "ExampleSection", + CellID->89284045], Cell[CellGroupData[{ -Cell[6213, 202, 240, 7, 27, "Input", +Cell[6215, 202, 240, 7, 27, "Input", CellID->290433563], -Cell[6456, 211, 309, 12, 42, "Output", +Cell[6458, 211, 309, 12, 42, "Output", CellID->1018605416] }, Open ]], Cell[CellGroupData[{ -Cell[6802, 228, 272, 8, 27, "Input", +Cell[6804, 228, 272, 8, 27, "Input", CellID->188169265], -Cell[7077, 238, 971, 40, 42, "Output", +Cell[7079, 238, 971, 40, 42, "Output", CellID->551385402] }, Open ]], Cell[CellGroupData[{ -Cell[8085, 283, 275, 8, 27, "Input", +Cell[8087, 283, 275, 8, 27, "Input", CellID->2129701176], -Cell[8363, 293, 379, 15, 42, "Output", +Cell[8365, 293, 379, 15, 42, "Output", CellID->1472556250] }, Open ]] }, Open ]] }, Open ]], -Cell[8781, 313, 23, 0, 41, "FooterCell"] +Cell[8783, 313, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisExtract.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisExtract.nb index 14c6d0824..8bacf8038 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisExtract.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisExtract.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17538, 595] -NotebookOptionsPosition[ 14086, 494] -NotebookOutlinePosition[ 16413, 553] -CellTagsIndexPosition[ 16328, 548] +NotebookDataLength[ 17479, 594] +NotebookOptionsPosition[ 14085, 494] +NotebookOutlinePosition[ 16355, 552] +CellTagsIndexPosition[ 16270, 547] WindowTitle->FCLoopBasisExtract WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopBasisExtract.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$105403], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$105975], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopBasisExtract", ".html"]], None}]}]}, @@ -135,7 +135,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->519074432], + CellID->706770986], Cell["", "SectionHeaderSpacer"], @@ -185,7 +185,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1814077800], + CellID->478631788], Cell[CellGroupData[{ @@ -195,7 +195,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1221270702], + CellID->1731678010], Cell[CellGroupData[{ @@ -494,8 +494,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopBasisExtract", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -507,7 +507,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 17.891284}", + "built" -> "{2020, 6, 20, 19, 5, 33.888997}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -529,8 +529,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -540,14 +539,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5532, 172, 388, 15, 31, "PrimaryExamplesSection", + Cell[5532, 172, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1814077800]} + CellID->478631788]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16184, 541} + {"PrimaryExamplesSection", 16127, 540} } *) (*NotebookFileOutline @@ -561,7 +560,7 @@ Cell[3227, 91, 698, 18, 119, "Usage", Cell[CellGroupData[{ Cell[3950, 113, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->519074432], + CellID->706770986], Cell[4691, 139, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4747, 143, 121, 3, 70, "Input", @@ -572,31 +571,31 @@ Cell[4871, 148, 600, 17, 56, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5532, 172, 388, 15, 31, "PrimaryExamplesSection", +Cell[5532, 172, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1814077800], + CellID->478631788], Cell[CellGroupData[{ -Cell[5945, 191, 196, 6, 26, "ExampleSection", - CellID->1221270702], +Cell[5944, 191, 196, 6, 26, "ExampleSection", + CellID->1731678010], Cell[CellGroupData[{ -Cell[6166, 201, 486, 15, 45, "Input", +Cell[6165, 201, 486, 15, 45, "Input", CellID->1087542221], -Cell[6655, 218, 1222, 40, 57, "Output", +Cell[6654, 218, 1222, 40, 57, "Output", CellID->1913056698], -Cell[7880, 260, 3061, 109, 91, "Output", +Cell[7879, 260, 3061, 109, 91, "Output", CellID->336549085] }, Open ]], Cell[CellGroupData[{ -Cell[10978, 374, 357, 9, 45, "Input", +Cell[10977, 374, 357, 9, 45, "Input", CellID->280018364], -Cell[11338, 385, 404, 12, 61, "Output", +Cell[11337, 385, 404, 12, 61, "Output", CellID->5648788], -Cell[11745, 399, 2275, 88, 61, "Output", +Cell[11744, 399, 2275, 88, 61, "Output", CellID->1391901442] }, Open ]] }, Open ]] }, Open ]], -Cell[14059, 492, 23, 0, 70, "FooterCell"] +Cell[14058, 492, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisFindCompletion.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisFindCompletion.nb index eed7d36cf..9c5ea8212 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisFindCompletion.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisFindCompletion.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 31833, 1065] -NotebookOptionsPosition[ 27270, 926] -NotebookOutlinePosition[ 29841, 989] -CellTagsIndexPosition[ 29756, 984] +NotebookDataLength[ 31780, 1064] +NotebookOptionsPosition[ 27271, 926] +NotebookOutlinePosition[ 29787, 988] +CellTagsIndexPosition[ 29702, 983] WindowTitle->FCLoopBasisFindCompletion WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopBasisFindCompletion.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$105834], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$106406], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopBasisFindCompletion", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1856114390], + CellID->1043018306], Cell["", "SectionHeaderSpacer"], @@ -167,7 +167,7 @@ Cell[BoxData[ RowBox[{"3", ",", "4", ",", "D", ",", RowBox[{"D", "-", "1"}]}], "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{430, 53}, + ImageSize->{430, 54}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[25]=", @@ -193,7 +193,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->4555670], + CellID->440292796], Cell[CellGroupData[{ @@ -203,7 +203,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1777702162], + CellID->932510835], Cell[CellGroupData[{ @@ -927,7 +927,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopBasisFindCompletion", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -939,7 +939,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 19.091988}", + "built" -> "{2020, 6, 20, 19, 5, 35.019594}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -965,8 +965,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -976,14 +975,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5981, 180, 385, 15, 31, "PrimaryExamplesSection", + Cell[5981, 180, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->4555670]} + CellID->440292796]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 29615, 977} + {"PrimaryExamplesSection", 29559, 976} } *) (*NotebookFileOutline @@ -997,76 +996,76 @@ Cell[3291, 93, 912, 21, 154, "Usage", Cell[CellGroupData[{ Cell[4228, 118, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1856114390], + CellID->1043018306], Cell[4970, 144, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5026, 148, 128, 3, 70, "Input", CellID->725102416], -Cell[5157, 153, 763, 20, 74, "Output", +Cell[5157, 153, 763, 20, 75, "Output", CellID->1566384245] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5981, 180, 385, 15, 31, "PrimaryExamplesSection", +Cell[5981, 180, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->4555670], + CellID->440292796], Cell[CellGroupData[{ -Cell[6391, 199, 196, 6, 26, "ExampleSection", - CellID->1777702162], +Cell[6393, 199, 195, 6, 26, "ExampleSection", + CellID->932510835], Cell[CellGroupData[{ -Cell[6612, 209, 207, 7, 27, "Input", +Cell[6613, 209, 207, 7, 27, "Input", CellID->680451350], -Cell[6822, 218, 1414, 48, 64, "Output", +Cell[6823, 218, 1414, 48, 64, "Output", CellID->2102952412] }, Open ]], Cell[CellGroupData[{ -Cell[8273, 271, 169, 5, 27, "Input", +Cell[8274, 271, 169, 5, 27, "Input", CellID->1061934835], -Cell[8445, 278, 2006, 66, 64, "Output", +Cell[8446, 278, 2006, 66, 64, "Output", CellID->1399048154] }, Open ]], Cell[CellGroupData[{ -Cell[10488, 349, 224, 8, 27, "Input", +Cell[10489, 349, 224, 8, 27, "Input", CellID->437279666], -Cell[10715, 359, 1175, 38, 64, "Output", +Cell[10716, 359, 1175, 38, 64, "Output", CellID->1080324517] }, Open ]], Cell[CellGroupData[{ -Cell[11927, 402, 196, 6, 27, "Input", +Cell[11928, 402, 196, 6, 27, "Input", CellID->1012989858], -Cell[12126, 410, 1630, 54, 64, "Output", +Cell[12127, 410, 1630, 54, 64, "Output", CellID->1807818720] }, Open ]], Cell[CellGroupData[{ -Cell[13793, 469, 254, 9, 27, "Input", +Cell[13794, 469, 254, 9, 27, "Input", CellID->152449709], -Cell[14050, 480, 1672, 63, 61, "Output", +Cell[14051, 480, 1672, 63, 61, "Output", CellID->227748313] }, Open ]], Cell[CellGroupData[{ -Cell[15759, 548, 681, 21, 45, "Input", +Cell[15760, 548, 681, 21, 45, "Input", CellID->149942360], -Cell[16443, 571, 4513, 150, 61, "Output", +Cell[16444, 571, 4513, 150, 61, "Output", CellID->1567923042] }, Open ]], -Cell[20971, 724, 77, 1, 32, "Notes", +Cell[20972, 724, 77, 1, 32, "Notes", CellID->1222037835], Cell[CellGroupData[{ -Cell[21073, 729, 301, 10, 27, "Input", +Cell[21074, 729, 301, 10, 27, "Input", CellID->478538861], -Cell[21377, 741, 2021, 54, 61, "Output", +Cell[21378, 741, 2021, 54, 61, "Output", CellID->1507736279] }, Open ]], Cell[CellGroupData[{ -Cell[23435, 800, 195, 6, 27, "Input", +Cell[23436, 800, 195, 6, 27, "Input", CellID->958430790], -Cell[23633, 808, 3571, 111, 92, "Output", +Cell[23634, 808, 3571, 111, 92, "Output", CellID->1992108554] }, Open ]] }, Open ]] }, Open ]], -Cell[27243, 924, 23, 0, 41, "FooterCell"] +Cell[27244, 924, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisGetSize.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisGetSize.nb index 4436a6b73..cb9e8ca0a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisGetSize.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisGetSize.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9666, 329] -NotebookOptionsPosition[ 6343, 227] -NotebookOutlinePosition[ 8542, 285] -CellTagsIndexPosition[ 8458, 280] +NotebookDataLength[ 9607, 328] +NotebookOptionsPosition[ 6342, 227] +NotebookOutlinePosition[ 8484, 284] +CellTagsIndexPosition[ 8400, 279] WindowTitle->FCLoopBasisGetSize WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopBasisGetSize.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$106271], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$106843], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopBasisGetSize", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->865487204], + CellID->929602562], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2048789073], + CellID->559236918], Cell[CellGroupData[{ @@ -227,8 +227,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopBasisGetSize", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -240,7 +240,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 20.364311}", + "built" -> "{2020, 6, 20, 19, 5, 36.183480}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -261,8 +261,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -274,12 +273,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3735, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->865487204]} + CellID->929602562]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8315, 273} + {"PrimaryExamplesSection", 8257, 272} } *) (*NotebookFileOutline @@ -292,45 +291,45 @@ Cell[3205, 89, 505, 13, 101, "Usage", Cell[CellGroupData[{ Cell[3735, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->865487204], + CellID->929602562], Cell[CellGroupData[{ -Cell[4147, 125, 196, 6, 26, "ExampleSection", - CellID->2048789073], +Cell[4147, 125, 195, 6, 26, "ExampleSection", + CellID->559236918], Cell[CellGroupData[{ -Cell[4368, 135, 137, 4, 27, "Input", +Cell[4367, 135, 137, 4, 27, "Input", CellID->349011384], -Cell[4508, 141, 187, 6, 35, "Output", +Cell[4507, 141, 187, 6, 35, "Output", CellID->1252755952] }, Open ]], Cell[CellGroupData[{ -Cell[4732, 152, 137, 4, 27, "Input", +Cell[4731, 152, 137, 4, 27, "Input", CellID->292533539], -Cell[4872, 158, 187, 6, 35, "Output", +Cell[4871, 158, 187, 6, 35, "Output", CellID->1276870913] }, Open ]], Cell[CellGroupData[{ -Cell[5096, 169, 137, 4, 27, "Input", +Cell[5095, 169, 137, 4, 27, "Input", CellID->899520067], -Cell[5236, 175, 186, 6, 35, "Output", +Cell[5235, 175, 186, 6, 35, "Output", CellID->95047077] }, Open ]], Cell[CellGroupData[{ -Cell[5459, 186, 137, 4, 27, "Input", +Cell[5458, 186, 137, 4, 27, "Input", CellID->422089743], -Cell[5599, 192, 188, 6, 35, "Output", +Cell[5598, 192, 188, 6, 35, "Output", CellID->1516109657] }, Open ]], -Cell[5802, 201, 112, 3, 32, "Notes", +Cell[5801, 201, 112, 3, 32, "Notes", CellID->1057019565], Cell[CellGroupData[{ -Cell[5939, 208, 147, 4, 27, "Input", +Cell[5938, 208, 147, 4, 27, "Input", CellID->580552192], -Cell[6089, 214, 188, 6, 35, "Output", +Cell[6088, 214, 188, 6, 35, "Output", CellID->1181721294] }, Open ]] }, Open ]] }, Open ]], -Cell[6316, 225, 23, 0, 41, "FooterCell"] +Cell[6315, 225, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisIncompleteQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisIncompleteQ.nb index 3055a0520..bf33eb110 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisIncompleteQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisIncompleteQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23627, 847] +NotebookDataLength[ 23572, 846] NotebookOptionsPosition[ 18866, 691] -NotebookOutlinePosition[ 21089, 749] -CellTagsIndexPosition[ 21004, 744] +NotebookOutlinePosition[ 21034, 748] +CellTagsIndexPosition[ 20949, 743] WindowTitle->FCLoopBasisIncompleteQ WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopBasisIncompleteQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$106702], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$107274], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopBasisIncompleteQ", ".html"]], None}]}]}, @@ -133,7 +133,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1936069838], + CellID->878716127], Cell["", "SectionHeaderSpacer"], @@ -182,7 +182,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1832231010], + CellID->1658423946], Cell[CellGroupData[{ @@ -192,7 +192,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->578106313], + CellID->2065248264], Cell[CellGroupData[{ @@ -692,7 +692,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopBasisIncompleteQ", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -704,7 +704,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 21.572329}", + "built" -> "{2020, 6, 20, 19, 5, 37.211619}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -725,8 +725,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -736,14 +735,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5379, 169, 388, 15, 31, "PrimaryExamplesSection", + Cell[5378, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1832231010]} + CellID->1658423946]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 20860, 737} + {"PrimaryExamplesSection", 20805, 736} } *) (*NotebookFileOutline @@ -755,25 +754,25 @@ Cell[CellGroupData[{ Cell[3251, 91, 576, 16, 101, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3852, 111, 739, 24, 31, "NotesSection", +Cell[3852, 111, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1936069838], -Cell[4594, 137, 31, 0, 70, "SectionHeaderSpacer"], + CellID->878716127], +Cell[4593, 137, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4650, 141, 126, 3, 70, "Input", +Cell[4649, 141, 126, 3, 70, "Input", CellID->1660585574], -Cell[4779, 146, 539, 16, 56, "Output", +Cell[4778, 146, 539, 16, 56, "Output", CellID->498535268] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5379, 169, 388, 15, 31, "PrimaryExamplesSection", +Cell[5378, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1832231010], + CellID->1658423946], Cell[CellGroupData[{ -Cell[5792, 188, 195, 6, 26, "ExampleSection", - CellID->578106313], +Cell[5791, 188, 196, 6, 26, "ExampleSection", + CellID->2065248264], Cell[CellGroupData[{ Cell[6012, 198, 149, 5, 27, "Input", CellID->1177324733], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisIntegralToPropagators.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisIntegralToPropagators.nb index ddc8b4511..b478c610c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisIntegralToPropagators.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisIntegralToPropagators.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17147, 564] -NotebookOptionsPosition[ 13094, 441] -NotebookOutlinePosition[ 15539, 502] -CellTagsIndexPosition[ 15454, 497] +NotebookDataLength[ 17095, 563] +NotebookOptionsPosition[ 13096, 441] +NotebookOutlinePosition[ 15485, 501] +CellTagsIndexPosition[ 15400, 496] WindowTitle->FCLoopBasisIntegralToPropagators WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopBasisIntegralToPropagators.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$107141], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$107713], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopBasisIntegralToPropagators", ".html"]], @@ -139,7 +139,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->31766683], + CellID->1017659644], Cell["", "SectionHeaderSpacer"], @@ -198,7 +198,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->717487452], + CellID->1957410082], Cell[CellGroupData[{ @@ -208,7 +208,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1004176351], + CellID->139879797], Cell[CellGroupData[{ @@ -442,7 +442,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopBasisIntegralToPropagators", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -454,7 +454,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 22.769468}", + "built" -> "{2020, 6, 20, 19, 5, 38.301476}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -478,8 +478,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -489,14 +488,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6175, 185, 387, 15, 31, "PrimaryExamplesSection", + Cell[6177, 185, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->717487452]} + CellID->1957410082]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15311, 490} + {"PrimaryExamplesSection", 15256, 489} } *) (*NotebookFileOutline @@ -508,64 +507,64 @@ Cell[CellGroupData[{ Cell[3344, 94, 756, 19, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4125, 117, 737, 24, 31, "NotesSection", +Cell[4125, 117, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->31766683], -Cell[4865, 143, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1017659644], +Cell[4867, 143, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4921, 147, 137, 3, 70, "Input", +Cell[4923, 147, 137, 3, 70, "Input", CellID->1432349722], -Cell[5061, 152, 1053, 26, 94, "Output", +Cell[5063, 152, 1053, 26, 94, "Output", CellID->869173064] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6175, 185, 387, 15, 31, "PrimaryExamplesSection", +Cell[6177, 185, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->717487452], + CellID->1957410082], Cell[CellGroupData[{ -Cell[6587, 204, 196, 6, 26, "ExampleSection", - CellID->1004176351], +Cell[6590, 204, 195, 6, 26, "ExampleSection", + CellID->139879797], Cell[CellGroupData[{ -Cell[6808, 214, 102, 3, 27, "Input", +Cell[6810, 214, 102, 3, 27, "Input", CellID->1992932500], -Cell[6913, 219, 407, 12, 61, "Output", +Cell[6915, 219, 407, 12, 61, "Output", CellID->1882078390] }, Open ]], Cell[CellGroupData[{ -Cell[7357, 236, 177, 5, 27, "Input", +Cell[7359, 236, 177, 5, 27, "Input", CellID->1918606203], -Cell[7537, 243, 474, 15, 61, "Output", +Cell[7539, 243, 474, 15, 61, "Output", CellID->81862528] }, Open ]], Cell[CellGroupData[{ -Cell[8048, 263, 125, 4, 27, "Input", +Cell[8050, 263, 125, 4, 27, "Input", CellID->581443369], -Cell[8176, 269, 640, 18, 61, "Output", +Cell[8178, 269, 640, 18, 61, "Output", CellID->785924661] }, Open ]], Cell[CellGroupData[{ -Cell[8853, 292, 203, 6, 27, "Input", +Cell[8855, 292, 203, 6, 27, "Input", CellID->1129375678], -Cell[9059, 300, 782, 24, 61, "Output", +Cell[9061, 300, 782, 24, 61, "Output", CellID->152119946] }, Open ]], Cell[CellGroupData[{ -Cell[9878, 329, 261, 9, 27, "Input", +Cell[9880, 329, 261, 9, 27, "Input", CellID->245070355], -Cell[10142, 340, 1221, 40, 57, "Output", +Cell[10144, 340, 1221, 40, 57, "Output", CellID->456033020] }, Open ]], Cell[CellGroupData[{ -Cell[11400, 385, 175, 5, 27, "Input", +Cell[11402, 385, 175, 5, 27, "Input", CellID->814711214], -Cell[11578, 392, 1450, 42, 61, "Output", +Cell[11580, 392, 1450, 42, 61, "Output", CellID->1751204889] }, Open ]] }, Open ]] }, Open ]], -Cell[13067, 439, 23, 0, 41, "FooterCell"] +Cell[13069, 439, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisOverdeterminedQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisOverdeterminedQ.nb index f7cc75db5..9d614cbe2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisOverdeterminedQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisOverdeterminedQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18808, 651] -NotebookOptionsPosition[ 14944, 530] -NotebookOutlinePosition[ 17196, 589] -CellTagsIndexPosition[ 17111, 584] +NotebookDataLength[ 18749, 650] +NotebookOptionsPosition[ 14943, 530] +NotebookOutlinePosition[ 17138, 588] +CellTagsIndexPosition[ 17053, 583] WindowTitle->FCLoopBasisOverdeterminedQ WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopBasisOverdeterminedQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$107574], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$108146], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopBasisOverdeterminedQ", ".html"]], None}]}]}, @@ -135,7 +135,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1867845114], + CellID->2047062561], Cell["", "SectionHeaderSpacer"], @@ -183,7 +183,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1797606053], + CellID->1721541710], Cell[CellGroupData[{ @@ -193,7 +193,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1798119519], + CellID->696107135], Cell[CellGroupData[{ @@ -531,7 +531,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopBasisOverdeterminedQ", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -543,7 +543,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 23.969241}", + "built" -> "{2020, 6, 20, 19, 5, 39.409517}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -565,8 +565,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -578,12 +577,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5381, 170, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1797606053]} + CellID->1721541710]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16967, 577} + {"PrimaryExamplesSection", 16909, 576} } *) (*NotebookFileOutline @@ -597,7 +596,7 @@ Cell[3297, 93, 584, 16, 102, "Usage", Cell[CellGroupData[{ Cell[3906, 113, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1867845114], + CellID->2047062561], Cell[4648, 139, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4704, 143, 128, 3, 70, "Input", @@ -610,49 +609,49 @@ Cell[4835, 148, 485, 15, 37, "Output", Cell[CellGroupData[{ Cell[5381, 170, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1797606053], + CellID->1721541710], Cell[CellGroupData[{ -Cell[5794, 189, 196, 6, 26, "ExampleSection", - CellID->1798119519], +Cell[5794, 189, 195, 6, 26, "ExampleSection", + CellID->696107135], Cell[CellGroupData[{ -Cell[6015, 199, 262, 10, 27, "Input", +Cell[6014, 199, 262, 10, 27, "Input", CellID->1007262632], -Cell[6280, 211, 1631, 53, 64, "Output", +Cell[6279, 211, 1631, 53, 64, "Output", CellID->412071257] }, Open ]], Cell[CellGroupData[{ -Cell[7948, 269, 169, 5, 27, "Input", +Cell[7947, 269, 169, 5, 27, "Input", CellID->30739365], -Cell[8120, 276, 190, 6, 35, "Output", +Cell[8119, 276, 190, 6, 35, "Output", CellID->254576575] }, Open ]], Cell[CellGroupData[{ -Cell[8347, 287, 175, 6, 27, "Input", +Cell[8346, 287, 175, 6, 27, "Input", CellID->1389435958], -Cell[8525, 295, 995, 34, 64, "Output", +Cell[8524, 295, 995, 34, 64, "Output", CellID->1884462615] }, Open ]], Cell[CellGroupData[{ -Cell[9557, 334, 171, 5, 27, "Input", +Cell[9556, 334, 171, 5, 27, "Input", CellID->2142881934], -Cell[9731, 341, 190, 6, 35, "Output", +Cell[9730, 341, 190, 6, 35, "Output", CellID->1262909302] }, Open ]], Cell[CellGroupData[{ -Cell[9958, 352, 473, 16, 27, "Input", +Cell[9957, 352, 473, 16, 27, "Input", CellID->1391618340], -Cell[10434, 370, 4018, 134, 64, "Output", +Cell[10433, 370, 4018, 134, 64, "Output", CellID->167702918] }, Open ]], Cell[CellGroupData[{ -Cell[14489, 509, 197, 6, 27, "Input", +Cell[14488, 509, 197, 6, 27, "Input", CellID->1537071496], -Cell[14689, 517, 189, 6, 35, "Output", +Cell[14688, 517, 189, 6, 35, "Output", CellID->982835686] }, Open ]] }, Open ]] }, Open ]], -Cell[14917, 528, 23, 0, 41, "FooterCell"] +Cell[14916, 528, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisPropagatorsToTopology.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisPropagatorsToTopology.nb index 14b9ac12b..6c504d6e9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisPropagatorsToTopology.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisPropagatorsToTopology.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14831, 528] -NotebookOptionsPosition[ 10918, 406] -NotebookOutlinePosition[ 13223, 466] -CellTagsIndexPosition[ 13138, 461] +NotebookDataLength[ 14778, 527] +NotebookOptionsPosition[ 10919, 406] +NotebookOutlinePosition[ 13169, 465] +CellTagsIndexPosition[ 13084, 460] WindowTitle->FCLoopBasisPropagatorsToTopology WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopBasisPropagatorsToTopology.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$108007], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$108579], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopBasisPropagatorsToTopology", ".html"]], @@ -136,7 +136,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->663054831], + CellID->154585542], Cell["", "SectionHeaderSpacer"], @@ -183,7 +183,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->588592236], + CellID->1376623146], Cell[CellGroupData[{ @@ -193,7 +193,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2113675355], + CellID->1566118671], Cell[CellGroupData[{ @@ -407,7 +407,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopBasisPropagatorsToTopology", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -419,7 +419,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 25.244772}", + "built" -> "{2020, 6, 20, 19, 5, 40.503794}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -442,8 +442,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -453,14 +452,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5470, 170, 387, 15, 31, "PrimaryExamplesSection", + Cell[5470, 170, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->588592236]} + CellID->1376623146]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12995, 454} + {"PrimaryExamplesSection", 12940, 453} } *) (*NotebookFileOutline @@ -474,7 +473,7 @@ Cell[3344, 94, 585, 16, 102, "Usage", Cell[CellGroupData[{ Cell[3954, 114, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->663054831], + CellID->154585542], Cell[4695, 140, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4751, 144, 136, 3, 70, "Input", @@ -485,51 +484,51 @@ Cell[4890, 149, 519, 14, 56, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5470, 170, 387, 15, 31, "PrimaryExamplesSection", +Cell[5470, 170, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->588592236], + CellID->1376623146], Cell[CellGroupData[{ -Cell[5882, 189, 196, 6, 26, "ExampleSection", - CellID->2113675355], +Cell[5883, 189, 196, 6, 26, "ExampleSection", + CellID->1566118671], Cell[CellGroupData[{ -Cell[6103, 199, 123, 4, 27, "Input", +Cell[6104, 199, 123, 4, 27, "Input", CellID->1956316226], -Cell[6229, 205, 564, 21, 61, "Output", +Cell[6230, 205, 564, 21, 61, "Output", CellID->19446749] }, Open ]], Cell[CellGroupData[{ -Cell[6830, 231, 129, 3, 27, "Input", +Cell[6831, 231, 129, 3, 27, "Input", CellID->1087227778], -Cell[6962, 236, 309, 12, 42, "Output", +Cell[6963, 236, 309, 12, 42, "Output", CellID->2002437231] }, Open ]], Cell[CellGroupData[{ -Cell[7308, 253, 171, 6, 27, "Input", +Cell[7309, 253, 171, 6, 27, "Input", CellID->693257325], -Cell[7482, 261, 707, 24, 61, "Output", +Cell[7483, 261, 707, 24, 61, "Output", CellID->387382784] }, Open ]], Cell[CellGroupData[{ -Cell[8226, 290, 129, 3, 27, "Input", +Cell[8227, 290, 129, 3, 27, "Input", CellID->1731709650], -Cell[8358, 295, 364, 14, 42, "Output", +Cell[8359, 295, 364, 14, 42, "Output", CellID->1002887494] }, Open ]], Cell[CellGroupData[{ -Cell[8759, 314, 253, 9, 27, "Input", +Cell[8760, 314, 253, 9, 27, "Input", CellID->845789532], -Cell[9015, 325, 1035, 38, 61, "Output", +Cell[9016, 325, 1035, 38, 61, "Output", CellID->1949357915] }, Open ]], Cell[CellGroupData[{ -Cell[10087, 368, 129, 3, 27, "Input", +Cell[10088, 368, 129, 3, 27, "Input", CellID->1200669594], -Cell[10219, 373, 633, 26, 42, "Output", +Cell[10220, 373, 633, 26, 42, "Output", CellID->589509649] }, Open ]] }, Open ]] }, Open ]], -Cell[10891, 404, 23, 0, 41, "FooterCell"] +Cell[10892, 404, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisSplit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisSplit.nb index 655bffb9b..846a6c77d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisSplit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopBasisSplit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18204, 597] -NotebookOptionsPosition[ 14731, 490] -NotebookOutlinePosition[ 16898, 547] -CellTagsIndexPosition[ 16813, 542] +NotebookDataLength[ 18152, 596] +NotebookOptionsPosition[ 14733, 490] +NotebookOutlinePosition[ 16844, 546] +CellTagsIndexPosition[ 16759, 541] WindowTitle->FCLoopBasisSplit WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopBasisSplit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$108440], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$109012], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopBasisSplit", ".html"]], None}]}]}, @@ -133,7 +133,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->598479817], + CellID->2145832028], Cell["", "SectionHeaderSpacer"], @@ -180,7 +180,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->97242643], + CellID->984809371], Cell[CellGroupData[{ @@ -190,7 +190,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->492136138], + CellID->410274589], Cell[CellGroupData[{ @@ -503,7 +503,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 26.599524}", + "built" -> "{2020, 6, 20, 19, 5, 41.614228}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -523,8 +523,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -534,14 +533,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5252, 167, 386, 15, 31, "PrimaryExamplesSection", + Cell[5253, 167, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->97242643]} + CellID->984809371]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16671, 535} + {"PrimaryExamplesSection", 16616, 534} } *) (*NotebookFileOutline @@ -553,52 +552,52 @@ Cell[CellGroupData[{ Cell[3215, 91, 546, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3786, 111, 738, 24, 31, "NotesSection", +Cell[3786, 111, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->598479817], -Cell[4527, 137, 31, 0, 70, "SectionHeaderSpacer"], + CellID->2145832028], +Cell[4528, 137, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4583, 141, 120, 3, 70, "Input", +Cell[4584, 141, 120, 3, 70, "Input", CellID->165011923], -Cell[4706, 146, 485, 14, 56, "Output", +Cell[4707, 146, 485, 14, 56, "Output", CellID->164487497] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5252, 167, 386, 15, 31, "PrimaryExamplesSection", +Cell[5253, 167, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->97242643], + CellID->984809371], Cell[CellGroupData[{ -Cell[5663, 186, 195, 6, 26, "ExampleSection", - CellID->492136138], +Cell[5665, 186, 195, 6, 26, "ExampleSection", + CellID->410274589], Cell[CellGroupData[{ -Cell[5883, 196, 343, 12, 27, "Input", +Cell[5885, 196, 343, 12, 27, "Input", CellID->1740798400], -Cell[6229, 210, 1824, 61, 64, "Output", +Cell[6231, 210, 1824, 61, 64, "Output", CellID->585852077] }, Open ]], Cell[CellGroupData[{ -Cell[8090, 276, 235, 7, 27, "Input", +Cell[8092, 276, 235, 7, 27, "Input", CellID->889078406], -Cell[8328, 285, 2396, 77, 61, "Output", +Cell[8330, 285, 2396, 77, 61, "Output", CellID->1291843966] }, Open ]], Cell[CellGroupData[{ -Cell[10761, 367, 283, 9, 27, "Input", +Cell[10763, 367, 283, 9, 27, "Input", CellID->1175078470], -Cell[11047, 378, 1391, 37, 61, "Output", +Cell[11049, 378, 1391, 37, 61, "Output", CellID->1570685614] }, Open ]], Cell[CellGroupData[{ -Cell[12475, 420, 289, 8, 27, "Input", +Cell[12477, 420, 289, 8, 27, "Input", CellID->2024603521], -Cell[12767, 430, 1898, 53, 61, "Output", +Cell[12769, 430, 1898, 53, 61, "Output", CellID->69316672] }, Open ]] }, Open ]] }, Open ]], -Cell[14704, 488, 23, 0, 41, "FooterCell"] +Cell[14706, 488, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopCanonicalize.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopCanonicalize.nb index 242de2706..e92224a45 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopCanonicalize.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopCanonicalize.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 24510, 774] -NotebookOptionsPosition[ 20872, 673] -NotebookOutlinePosition[ 23506, 736] -CellTagsIndexPosition[ 23421, 731] +NotebookDataLength[ 24453, 773] +NotebookOptionsPosition[ 20871, 673] +NotebookOutlinePosition[ 23450, 735] +CellTagsIndexPosition[ 23365, 730] WindowTitle->FCLoopCanonicalize WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopCanonicalize.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$108872], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$109444], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopCanonicalize", ".html"]], None}]}]}, @@ -136,7 +136,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1735573394], + CellID->1709973287], Cell["", "SectionHeaderSpacer"], @@ -184,7 +184,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1344012086], + CellID->1942947799], Cell[CellGroupData[{ @@ -194,7 +194,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1478603305], + CellID->480046174], Cell[CellGroupData[{ @@ -674,7 +674,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopCanonicalize", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -686,7 +686,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 27.881896}", + "built" -> "{2020, 6, 20, 19, 5, 42.709677}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -712,8 +712,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -725,12 +724,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5694, 171, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1344012086]} + CellID->1942947799]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 23277, 724} + {"PrimaryExamplesSection", 23221, 723} } *) (*NotebookFileOutline @@ -744,7 +743,7 @@ Cell[3227, 91, 945, 19, 154, "Usage", Cell[CellGroupData[{ Cell[4197, 114, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1735573394], + CellID->1709973287], Cell[4939, 140, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4995, 144, 119, 3, 70, "Input", @@ -757,25 +756,25 @@ Cell[5117, 149, 516, 15, 56, "Output", Cell[CellGroupData[{ Cell[5694, 171, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1344012086], + CellID->1942947799], Cell[CellGroupData[{ -Cell[6107, 190, 196, 6, 26, "ExampleSection", - CellID->1478603305], +Cell[6107, 190, 195, 6, 26, "ExampleSection", + CellID->480046174], Cell[CellGroupData[{ -Cell[6328, 200, 252, 8, 27, "Input", +Cell[6327, 200, 252, 8, 27, "Input", CellID->2071184719], -Cell[6583, 210, 1753, 62, 103, "Output", +Cell[6582, 210, 1753, 62, 103, "Output", CellID->1709735982] }, Open ]], Cell[CellGroupData[{ -Cell[8373, 277, 895, 28, 45, "Input", +Cell[8372, 277, 895, 28, 45, "Input", CellID->1969432234], -Cell[9271, 307, 11535, 359, 197, "Output", +Cell[9270, 307, 11535, 359, 197, "Output", CellID->512363724] }, Open ]] }, Open ]] }, Open ]], -Cell[20845, 671, 23, 0, 70, "FooterCell"] +Cell[20844, 671, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopEikonalPropagatorFreeQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopEikonalPropagatorFreeQ.nb index 462919d7b..84deef5c7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopEikonalPropagatorFreeQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopEikonalPropagatorFreeQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15912, 542] +NotebookDataLength[ 15855, 541] NotebookOptionsPosition[ 11419, 404] -NotebookOutlinePosition[ 14000, 468] -CellTagsIndexPosition[ 13915, 463] +NotebookOutlinePosition[ 13943, 467] +CellTagsIndexPosition[ 13858, 462] WindowTitle->FCLoopEikonalPropagatorFreeQ WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopEikonalPropagatorFreeQ.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$109301], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$109873], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopEikonalPropagatorFreeQ", ".html"]], None}]}]}, @@ -138,7 +138,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->420646886], + CellID->1782107242], Cell["", "SectionHeaderSpacer"], @@ -156,7 +156,7 @@ Cell[BoxData[ RowBox[{"First", "\[Rule]", "True"}], ",", RowBox[{"Momentum", "\[Rule]", "All"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{202, 14}, + ImageSize->{202, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[30]=", @@ -182,7 +182,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1593570356], + CellID->1044177261], Cell[CellGroupData[{ @@ -192,7 +192,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1536229117], + CellID->586945885], Cell[CellGroupData[{ @@ -417,7 +417,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 29.074168}", + "built" -> "{2020, 6, 20, 19, 5, 43.808792}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -444,8 +444,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -455,14 +454,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5468, 169, 388, 15, 31, "PrimaryExamplesSection", + Cell[5469, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1593570356]} + CellID->1044177261]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13771, 456} + {"PrimaryExamplesSection", 13714, 455} } *) (*NotebookFileOutline @@ -474,25 +473,25 @@ Cell[CellGroupData[{ Cell[3316, 94, 817, 18, 154, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4158, 116, 738, 24, 31, "NotesSection", +Cell[4158, 116, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->420646886], -Cell[4899, 142, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1782107242], +Cell[4900, 142, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4955, 146, 132, 3, 70, "Input", +Cell[4956, 146, 132, 3, 70, "Input", CellID->1008394849], -Cell[5090, 151, 317, 11, 35, "Output", +Cell[5091, 151, 317, 11, 37, "Output", CellID->1586327075] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5468, 169, 388, 15, 31, "PrimaryExamplesSection", +Cell[5469, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1593570356], + CellID->1044177261], Cell[CellGroupData[{ -Cell[5881, 188, 196, 6, 26, "ExampleSection", - CellID->1536229117], +Cell[5882, 188, 195, 6, 26, "ExampleSection", + CellID->586945885], Cell[CellGroupData[{ Cell[6102, 198, 174, 6, 27, "Input", CellID->874710363], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopExtract.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopExtract.nb index 277c680d6..1c5e69509 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopExtract.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopExtract.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 46899, 1437] -NotebookOptionsPosition[ 43326, 1340] -NotebookOutlinePosition[ 45991, 1404] -CellTagsIndexPosition[ 45905, 1399] +NotebookDataLength[ 46844, 1436] +NotebookOptionsPosition[ 43327, 1340] +NotebookOutlinePosition[ 45935, 1403] +CellTagsIndexPosition[ 45849, 1398] WindowTitle->FCLoopExtract WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopExtract.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$109736], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$110308], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopExtract", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->461648854], + CellID->1210364467], Cell["", "SectionHeaderSpacer"], @@ -200,7 +200,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1910549458], + CellID->1133461306], Cell[CellGroupData[{ @@ -210,7 +210,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2055303549], + CellID->1293716871], Cell[CellGroupData[{ @@ -1341,7 +1341,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopExtract", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1353,7 +1353,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 30.447330}", + "built" -> "{2020, 6, 20, 19, 5, 44.956638}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1380,8 +1380,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1391,14 +1390,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6478, 187, 388, 15, 31, "PrimaryExamplesSection", + Cell[6479, 187, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1910549458]} + CellID->1133461306]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 45761, 1392} + {"PrimaryExamplesSection", 45705, 1391} } *) (*NotebookFileOutline @@ -1410,35 +1409,35 @@ Cell[CellGroupData[{ Cell[3197, 91, 1063, 23, 170, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4285, 118, 738, 24, 31, "NotesSection", +Cell[4285, 118, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->461648854], -Cell[5026, 144, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1210364467], +Cell[5027, 144, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5082, 148, 96, 2, 70, "Input"], -Cell[5181, 152, 1236, 28, 113, "Output"] +Cell[5083, 148, 96, 2, 27, "Input"], +Cell[5182, 152, 1236, 28, 113, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6478, 187, 388, 15, 31, "PrimaryExamplesSection", +Cell[6479, 187, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1910549458], + CellID->1133461306], Cell[CellGroupData[{ -Cell[6891, 206, 196, 6, 26, "ExampleSection", - CellID->2055303549], +Cell[6892, 206, 196, 6, 26, "ExampleSection", + CellID->1293716871], Cell[CellGroupData[{ -Cell[7112, 216, 597, 21, 45, "Input", +Cell[7113, 216, 597, 21, 45, "Input", CellID->1841949927], -Cell[7712, 239, 3100, 109, 64, "Output"] +Cell[7713, 239, 3100, 109, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10849, 353, 152, 4, 27, "Input"], -Cell[11004, 359, 32256, 974, 593, "Output"] +Cell[10850, 353, 152, 4, 27, "Input"], +Cell[11005, 359, 32256, 974, 593, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[43299, 1338, 23, 0, 70, "FooterCell"] +Cell[43300, 1338, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopIBPReducableQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopIBPReducableQ.nb index 50e09cb7a..62daf2f75 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopIBPReducableQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopIBPReducableQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10781, 370] -NotebookOptionsPosition[ 7775, 278] -NotebookOutlinePosition[ 9862, 334] -CellTagsIndexPosition[ 9778, 329] +NotebookDataLength[ 10784, 370] +NotebookOptionsPosition[ 7776, 278] +NotebookOutlinePosition[ 9864, 334] +CellTagsIndexPosition[ 9780, 329] WindowTitle->FCLoopIBPReducableQ WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopIBPReducableQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$110165], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$110737], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopIBPReducableQ", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->128243006], + CellID->1688996256], Cell[CellGroupData[{ @@ -128,7 +128,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->984336512], + CellID->717655668], Cell[CellGroupData[{ @@ -291,7 +291,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 31.793206}", + "built" -> "{2020, 6, 20, 19, 5, 46.102622}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -321,14 +321,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3654, 105, 387, 15, 31, "PrimaryExamplesSection", + Cell[3654, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->128243006]} + CellID->1688996256]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9635, 322} + {"PrimaryExamplesSection", 9636, 322} } *) (*NotebookFileOutline @@ -339,39 +339,39 @@ Cell[2912, 76, 296, 11, 45, "ObjectNameGrid"], Cell[3211, 89, 418, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3654, 105, 387, 15, 31, "PrimaryExamplesSection", +Cell[3654, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->128243006], + CellID->1688996256], Cell[CellGroupData[{ -Cell[4066, 124, 195, 6, 26, "ExampleSection", - CellID->984336512], +Cell[4067, 124, 195, 6, 26, "ExampleSection", + CellID->717655668], Cell[CellGroupData[{ -Cell[4286, 134, 147, 5, 27, "Input", +Cell[4287, 134, 147, 5, 27, "Input", CellID->1041712583], -Cell[4436, 141, 1100, 40, 61, "Output", +Cell[4437, 141, 1100, 40, 61, "Output", CellID->190314251] }, Open ]], Cell[CellGroupData[{ -Cell[5573, 186, 146, 4, 27, "Input", +Cell[5574, 186, 146, 4, 27, "Input", CellID->1082785845], -Cell[5722, 192, 190, 6, 35, "Output", +Cell[5723, 192, 190, 6, 35, "Output", CellID->334158586] }, Open ]], Cell[CellGroupData[{ -Cell[5949, 203, 206, 7, 27, "Input", +Cell[5950, 203, 206, 7, 27, "Input", CellID->1838519299], -Cell[6158, 212, 1176, 42, 64, "Output", +Cell[6159, 212, 1176, 42, 64, "Output", CellID->1784481217] }, Open ]], Cell[CellGroupData[{ -Cell[7371, 259, 146, 4, 27, "Input", +Cell[7372, 259, 146, 4, 27, "Input", CellID->1330916288], -Cell[7520, 265, 189, 6, 35, "Output", +Cell[7521, 265, 189, 6, 35, "Output", CellID->484198112] }, Open ]] }, Open ]] }, Open ]], -Cell[7748, 276, 23, 0, 41, "FooterCell"] +Cell[7749, 276, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopIsolate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopIsolate.nb index f7c20e061..27461bbf0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopIsolate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopIsolate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 76798, 2603] -NotebookOptionsPosition[ 72629, 2474] -NotebookOutlinePosition[ 74779, 2531] -CellTagsIndexPosition[ 74693, 2526] +NotebookDataLength[ 76803, 2603] +NotebookOptionsPosition[ 72630, 2474] +NotebookOutlinePosition[ 74783, 2531] +CellTagsIndexPosition[ 74697, 2526] WindowTitle->FCLoopIsolate WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopIsolate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$110595], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$111167], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopIsolate", ".html"]], None}]}]}, @@ -134,7 +134,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1763934292], + CellID->189251530], Cell["", "SectionHeaderSpacer"], @@ -184,7 +184,7 @@ Cell[BoxData[ ",", RowBox[{"SFAD", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{539, 148}, + ImageSize->{539, 149}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[42]="] @@ -209,7 +209,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->132798676], + CellID->2129289052], Cell[CellGroupData[{ @@ -219,7 +219,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->614555026], + CellID->1650166504], Cell[CellGroupData[{ @@ -2475,7 +2475,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopIsolate", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -2487,7 +2487,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 33.086816}", + "built" -> "{2020, 6, 20, 19, 5, 47.197640}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -2518,14 +2518,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6691, 196, 387, 15, 31, "PrimaryExamplesSection", + Cell[6690, 196, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->132798676]} + CellID->2129289052]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 74550, 2519} + {"PrimaryExamplesSection", 74553, 2519} } *) (*NotebookFileOutline @@ -2537,74 +2537,74 @@ Cell[CellGroupData[{ Cell[3197, 91, 598, 17, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3820, 112, 739, 24, 31, "NotesSection", +Cell[3820, 112, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1763934292], -Cell[4562, 138, 31, 0, 70, "SectionHeaderSpacer"], + CellID->189251530], +Cell[4561, 138, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4618, 142, 96, 2, 70, "Input"], -Cell[4717, 146, 1913, 43, 169, "Output"] +Cell[4617, 142, 96, 2, 70, "Input"], +Cell[4716, 146, 1913, 43, 170, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6691, 196, 387, 15, 31, "PrimaryExamplesSection", +Cell[6690, 196, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->132798676], + CellID->2129289052], Cell[CellGroupData[{ -Cell[7103, 215, 195, 6, 26, "ExampleSection", - CellID->614555026], +Cell[7103, 215, 196, 6, 26, "ExampleSection", + CellID->1650166504], Cell[CellGroupData[{ -Cell[7323, 225, 576, 20, 45, "Input"], -Cell[7902, 247, 3100, 109, 64, "Output"] +Cell[7324, 225, 576, 20, 45, "Input"], +Cell[7903, 247, 3100, 109, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11039, 361, 206, 6, 27, "Input", +Cell[11040, 361, 206, 6, 27, "Input", CellID->1295259209], -Cell[11248, 369, 15554, 503, 308, "Output"] +Cell[11249, 369, 15554, 503, 308, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[26839, 877, 111, 3, 27, "Input"], -Cell[26953, 882, 14849, 470, 177, "Output"] +Cell[26840, 877, 111, 3, 27, "Input"], +Cell[26954, 882, 14849, 470, 177, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[41839, 1357, 620, 21, 45, "Input", +Cell[41840, 1357, 620, 21, 45, "Input", CellID->1424929986], -Cell[42462, 1380, 7246, 272, 114, "Output"] +Cell[42463, 1380, 7246, 272, 114, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[49745, 1657, 179, 5, 27, "Input"], -Cell[49927, 1664, 7538, 276, 114, "Output"] +Cell[49746, 1657, 179, 5, 27, "Input"], +Cell[49928, 1664, 7538, 276, 114, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[57502, 1945, 105, 3, 27, "Input"], -Cell[57610, 1950, 5278, 183, 114, "Output"] +Cell[57503, 1945, 105, 3, 27, "Input"], +Cell[57611, 1950, 5278, 183, 114, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[62925, 2138, 328, 12, 27, "Input", +Cell[62926, 2138, 328, 12, 27, "Input", CellID->197320434], -Cell[63256, 2152, 1011, 38, 64, "Output"] +Cell[63257, 2152, 1011, 38, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[64304, 2195, 191, 5, 27, "Input"], -Cell[64498, 2202, 911, 30, 64, "Output"] +Cell[64305, 2195, 191, 5, 27, "Input"], +Cell[64499, 2202, 911, 30, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[65446, 2237, 375, 13, 27, "Input"], -Cell[65824, 2252, 1854, 59, 64, "Output"] +Cell[65447, 2237, 375, 13, 27, "Input"], +Cell[65825, 2252, 1854, 59, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[67715, 2316, 164, 5, 27, "Input"], -Cell[67882, 2323, 2304, 67, 67, "Output"] +Cell[67716, 2316, 164, 5, 27, "Input"], +Cell[67883, 2323, 2304, 67, 67, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[70223, 2395, 235, 7, 27, "Input", +Cell[70224, 2395, 235, 7, 27, "Input", CellID->90885492], -Cell[70461, 2404, 2102, 63, 67, "Output"] +Cell[70462, 2404, 2102, 63, 67, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[72602, 2472, 23, 0, 41, "FooterCell"] +Cell[72603, 2472, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopMixedIntegralQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopMixedIntegralQ.nb index ab6490def..fe6a80d69 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopMixedIntegralQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopMixedIntegralQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11322, 383] -NotebookOptionsPosition[ 8238, 290] -NotebookOutlinePosition[ 10404, 347] -CellTagsIndexPosition[ 10319, 342] +NotebookDataLength[ 11268, 382] +NotebookOptionsPosition[ 8240, 290] +NotebookOutlinePosition[ 10348, 346] +CellTagsIndexPosition[ 10263, 341] WindowTitle->FCLoopMixedIntegralQ WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopMixedIntegralQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$111033], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$111605], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopMixedIntegralQ", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->481937848], + CellID->1118854092], Cell[CellGroupData[{ @@ -128,7 +128,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->34104101], + CellID->541042322], Cell[CellGroupData[{ @@ -290,8 +290,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 31}}, WindowTitle->"FCLoopMixedIntegralQ", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -303,7 +303,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 34.474824}", + "built" -> "{2020, 6, 20, 19, 5, 48.411762}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -323,8 +323,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -334,14 +333,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3678, 105, 387, 15, 31, "PrimaryExamplesSection", + Cell[3678, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->481937848]} + CellID->1118854092]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10176, 335} + {"PrimaryExamplesSection", 10119, 334} } *) (*NotebookFileOutline @@ -352,39 +351,39 @@ Cell[2917, 76, 297, 11, 45, "ObjectNameGrid"], Cell[3217, 89, 436, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3678, 105, 387, 15, 31, "PrimaryExamplesSection", +Cell[3678, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->481937848], + CellID->1118854092], Cell[CellGroupData[{ -Cell[4090, 124, 194, 6, 26, "ExampleSection", - CellID->34104101], +Cell[4091, 124, 195, 6, 26, "ExampleSection", + CellID->541042322], Cell[CellGroupData[{ -Cell[4309, 134, 263, 9, 27, "Input", +Cell[4311, 134, 263, 9, 27, "Input", CellID->1475735620], -Cell[4575, 145, 1274, 40, 62, "Output", +Cell[4577, 145, 1274, 40, 62, "Output", CellID->438100970] }, Open ]], Cell[CellGroupData[{ -Cell[5886, 190, 117, 3, 27, "Input", +Cell[5888, 190, 117, 3, 27, "Input", CellID->1472762504], -Cell[6006, 195, 188, 6, 35, "Output", +Cell[6008, 195, 188, 6, 35, "Output", CellID->87331192] }, Open ]], Cell[CellGroupData[{ -Cell[6231, 206, 262, 9, 27, "Input", +Cell[6233, 206, 262, 9, 27, "Input", CellID->1995971358], -Cell[6496, 217, 1328, 50, 62, "Output", +Cell[6498, 217, 1328, 50, 62, "Output", CellID->1927339880] }, Open ]], Cell[CellGroupData[{ -Cell[7861, 272, 117, 3, 27, "Input", +Cell[7863, 272, 117, 3, 27, "Input", CellID->1422411320], -Cell[7981, 277, 191, 6, 35, "Output", +Cell[7983, 277, 191, 6, 35, "Output", CellID->1289442983] }, Open ]] }, Open ]] }, Open ]], -Cell[8211, 288, 23, 0, 41, "FooterCell"] +Cell[8213, 288, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopMixedToCartesianAndTemporal.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopMixedToCartesianAndTemporal.nb index 03cc0b101..e0c1d7b7a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopMixedToCartesianAndTemporal.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopMixedToCartesianAndTemporal.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19902, 676] +NotebookDataLength[ 19847, 675] NotebookOptionsPosition[ 15977, 554] -NotebookOutlinePosition[ 18288, 614] -CellTagsIndexPosition[ 18203, 609] +NotebookOutlinePosition[ 18233, 613] +CellTagsIndexPosition[ 18148, 608] WindowTitle->FCLoopMixedToCartesianAndTemporal WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopMixedToCartesianAndTemporal.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$111463], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$112035], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopMixedToCartesianAndTemporal", ".html"]], @@ -137,7 +137,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->403141216], + CellID->381398983], Cell["", "SectionHeaderSpacer"], @@ -182,7 +182,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->166685210], + CellID->629794390], Cell[CellGroupData[{ @@ -192,7 +192,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->612210414], + CellID->458806939], Cell[CellGroupData[{ @@ -555,7 +555,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopMixedToCartesianAndTemporal", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -567,7 +567,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 35.703708}", + "built" -> "{2020, 6, 20, 19, 5, 49.528350}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -590,8 +590,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -603,12 +602,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5324, 169, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->166685210]} + CellID->629794390]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 18060, 602} + {"PrimaryExamplesSection", 18005, 601} } *) (*NotebookFileOutline @@ -622,7 +621,7 @@ Cell[3350, 94, 615, 17, 102, "Usage", Cell[CellGroupData[{ Cell[3990, 115, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->403141216], + CellID->381398983], Cell[4731, 141, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4787, 145, 139, 4, 70, "Input", @@ -635,10 +634,10 @@ Cell[4929, 151, 334, 11, 37, "Output", Cell[CellGroupData[{ Cell[5324, 169, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->166685210], + CellID->629794390], Cell[CellGroupData[{ Cell[5736, 188, 195, 6, 26, "ExampleSection", - CellID->612210414], + CellID->458806939], Cell[CellGroupData[{ Cell[5956, 198, 126, 4, 27, "Input", CellID->1021152012], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopNonIntegerPropagatorPowersFreeQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopNonIntegerPropagatorPowersFreeQ.nb index 43f83cb08..987b92bad 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopNonIntegerPropagatorPowersFreeQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopNonIntegerPropagatorPowersFreeQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11945, 399] -NotebookOptionsPosition[ 8452, 292] -NotebookOutlinePosition[ 10724, 351] -CellTagsIndexPosition[ 10639, 346] +NotebookDataLength[ 11892, 398] +NotebookOptionsPosition[ 8453, 292] +NotebookOutlinePosition[ 10670, 350] +CellTagsIndexPosition[ 10585, 345] WindowTitle->FCLoopNonIntegerPropagatorPowersFreeQ WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopNonIntegerPropagatorPowersFreeQ.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$111896], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$112468], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopNonIntegerPropagatorPowersFreeQ", ".html"]], @@ -122,7 +122,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->434907899], + CellID->1399058627], Cell[CellGroupData[{ @@ -132,7 +132,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->884172662], + CellID->439720824], Cell[CellGroupData[{ @@ -293,7 +293,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopNonIntegerPropagatorPowersFreeQ", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -305,7 +305,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 37.062328}", + "built" -> "{2020, 6, 20, 19, 5, 50.709012}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -327,8 +327,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -338,14 +337,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3852, 109, 387, 15, 31, "PrimaryExamplesSection", + Cell[3852, 109, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->434907899]} + CellID->1399058627]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10496, 339} + {"PrimaryExamplesSection", 10441, 338} } *) (*NotebookFileOutline @@ -356,51 +355,51 @@ Cell[3034, 79, 314, 11, 45, "ObjectNameGrid"], Cell[3351, 92, 476, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3852, 109, 387, 15, 31, "PrimaryExamplesSection", +Cell[3852, 109, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->434907899], + CellID->1399058627], Cell[CellGroupData[{ -Cell[4264, 128, 195, 6, 26, "ExampleSection", - CellID->884172662], +Cell[4265, 128, 195, 6, 26, "ExampleSection", + CellID->439720824], Cell[CellGroupData[{ -Cell[4484, 138, 208, 7, 27, "Input", +Cell[4485, 138, 208, 7, 27, "Input", CellID->1817883675], -Cell[4695, 147, 758, 22, 61, "Output", +Cell[4696, 147, 758, 22, 61, "Output", CellID->1270165313] }, Open ]], Cell[CellGroupData[{ -Cell[5490, 174, 164, 4, 27, "Input", +Cell[5491, 174, 164, 4, 27, "Input", CellID->1009675301], -Cell[5657, 180, 190, 6, 35, "Output", +Cell[5658, 180, 190, 6, 35, "Output", CellID->2046340947] }, Open ]], Cell[CellGroupData[{ -Cell[5884, 191, 207, 7, 27, "Input", +Cell[5885, 191, 207, 7, 27, "Input", CellID->528515647], -Cell[6094, 200, 740, 22, 39, "Output", +Cell[6095, 200, 740, 22, 39, "Output", CellID->333755154] }, Open ]], Cell[CellGroupData[{ -Cell[6871, 227, 163, 4, 27, "Input", +Cell[6872, 227, 163, 4, 27, "Input", CellID->881584896], -Cell[7037, 233, 191, 6, 35, "Output", +Cell[7038, 233, 191, 6, 35, "Output", CellID->1180306013] }, Open ]], Cell[CellGroupData[{ -Cell[7265, 244, 208, 7, 27, "Input", +Cell[7266, 244, 208, 7, 27, "Input", CellID->1771674880], -Cell[7476, 253, 515, 15, 68, "Output", +Cell[7477, 253, 515, 15, 68, "Output", CellID->213688808] }, Open ]], Cell[CellGroupData[{ -Cell[8028, 273, 164, 4, 27, "Input", +Cell[8029, 273, 164, 4, 27, "Input", CellID->2133218472], -Cell[8195, 279, 191, 6, 35, "Output", +Cell[8196, 279, 191, 6, 35, "Output", CellID->2098499240] }, Open ]] }, Open ]] }, Open ]], -Cell[8425, 290, 23, 0, 70, "FooterCell"] +Cell[8426, 290, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopNonIntegerPropagatorsFreeQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopNonIntegerPropagatorsFreeQ.nb index 91c996066..d2576dc8e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopNonIntegerPropagatorsFreeQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopNonIntegerPropagatorsFreeQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10633, 346] +NotebookDataLength[ 10575, 345] NotebookOptionsPosition[ 7469, 251] -NotebookOutlinePosition[ 9719, 310] -CellTagsIndexPosition[ 9635, 305] +NotebookOutlinePosition[ 9661, 309] +CellTagsIndexPosition[ 9577, 304] WindowTitle->FCLoopNonIntegerPropagatorsFreeQ WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopNonIntegerPropagatorsFreeQ.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$112328], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$112900], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopNonIntegerPropagatorsFreeQ", ".html"]], @@ -122,7 +122,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1616386766], + CellID->598686736], Cell[CellGroupData[{ @@ -132,7 +132,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->155269366], + CellID->1298637540], Cell[CellGroupData[{ @@ -252,7 +252,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopNonIntegerPropagatorsFreeQ", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -264,7 +264,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 38.409878}", + "built" -> "{2020, 6, 20, 19, 5, 51.808443}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -286,8 +286,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -297,14 +296,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3817, 109, 388, 15, 31, "PrimaryExamplesSection", + Cell[3817, 109, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1616386766]} + CellID->598686736]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9491, 298} + {"PrimaryExamplesSection", 9434, 297} } *) (*NotebookFileOutline @@ -315,12 +314,12 @@ Cell[3010, 79, 309, 11, 45, "ObjectNameGrid"], Cell[3322, 92, 470, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3817, 109, 388, 15, 31, "PrimaryExamplesSection", +Cell[3817, 109, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1616386766], + CellID->598686736], Cell[CellGroupData[{ -Cell[4230, 128, 195, 6, 26, "ExampleSection", - CellID->155269366], +Cell[4229, 128, 196, 6, 26, "ExampleSection", + CellID->1298637540], Cell[CellGroupData[{ Cell[4450, 138, 227, 8, 27, "Input", CellID->2106819447], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopPropagatorPowersCombine.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopPropagatorPowersCombine.nb index 90b7eeaf2..3dd5393f1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopPropagatorPowersCombine.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopPropagatorPowersCombine.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13090, 444] +NotebookDataLength[ 13033, 443] NotebookOptionsPosition[ 9494, 333] -NotebookOutlinePosition[ 11728, 392] -CellTagsIndexPosition[ 11643, 387] +NotebookOutlinePosition[ 11671, 391] +CellTagsIndexPosition[ 11586, 386] WindowTitle->FCLoopPropagatorPowersCombine WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopPropagatorPowersCombine.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$112758], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$113330], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopPropagatorPowersCombine", ".html"]], None}]}]}, @@ -132,7 +132,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->534295068], + CellID->13778886], Cell["", "SectionHeaderSpacer"], @@ -176,7 +176,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1267022637], + CellID->1294793871], Cell[CellGroupData[{ @@ -186,7 +186,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->818324197], + CellID->1453223082], Cell[CellGroupData[{ @@ -346,7 +346,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 39.720906}", + "built" -> "{2020, 6, 20, 19, 5, 52.814132}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -368,8 +368,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -379,14 +378,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5140, 163, 388, 15, 31, "PrimaryExamplesSection", + Cell[5139, 163, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1267022637]} + CellID->1294793871]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11499, 380} + {"PrimaryExamplesSection", 11442, 379} } *) (*NotebookFileOutline @@ -398,25 +397,25 @@ Cell[CellGroupData[{ Cell[3315, 93, 465, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3805, 110, 738, 24, 31, "NotesSection", +Cell[3805, 110, 737, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->534295068], -Cell[4546, 136, 31, 0, 70, "SectionHeaderSpacer"], + CellID->13778886], +Cell[4545, 136, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4602, 140, 134, 3, 70, "Input", +Cell[4601, 140, 134, 3, 27, "Input", CellID->1520756746], -Cell[4739, 145, 340, 11, 37, "Output", +Cell[4738, 145, 340, 11, 37, "Output", CellID->2127090445] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5140, 163, 388, 15, 31, "PrimaryExamplesSection", +Cell[5139, 163, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1267022637], + CellID->1294793871], Cell[CellGroupData[{ -Cell[5553, 182, 195, 6, 26, "ExampleSection", - CellID->818324197], +Cell[5552, 182, 196, 6, 26, "ExampleSection", + CellID->1453223082], Cell[CellGroupData[{ Cell[5773, 192, 453, 16, 27, "Input", CellID->439673140], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopPropagatorPowersExpand.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopPropagatorPowersExpand.nb index c3383b2dc..272447e5d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopPropagatorPowersExpand.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopPropagatorPowersExpand.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15247, 516] -NotebookOptionsPosition[ 11455, 396] -NotebookOutlinePosition[ 13637, 454] -CellTagsIndexPosition[ 13552, 449] +NotebookDataLength[ 15187, 515] +NotebookOptionsPosition[ 11454, 396] +NotebookOutlinePosition[ 13578, 453] +CellTagsIndexPosition[ 13493, 448] WindowTitle->FCLoopPropagatorPowersExpand WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopPropagatorPowersExpand.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$113189], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$113761], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopPropagatorPowersExpand", ".html"]], None}]}]}, @@ -133,7 +133,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1122887304], + CellID->1390402032], Cell["", "SectionHeaderSpacer"], @@ -177,7 +177,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1233214344], + CellID->713428895], Cell[CellGroupData[{ @@ -187,7 +187,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1416804014], + CellID->1451571462], Cell[CellGroupData[{ @@ -409,7 +409,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 40.995282}", + "built" -> "{2020, 6, 20, 19, 5, 53.914317}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -430,8 +430,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -441,14 +440,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5098, 164, 388, 15, 31, "PrimaryExamplesSection", + Cell[5098, 164, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1233214344]} + CellID->713428895]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13408, 442} + {"PrimaryExamplesSection", 13350, 441} } *) (*NotebookFileOutline @@ -462,7 +461,7 @@ Cell[3316, 94, 423, 13, 85, "Usage", Cell[CellGroupData[{ Cell[3764, 111, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1122887304], + CellID->1390402032], Cell[4506, 137, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4562, 141, 132, 3, 70, "Input", @@ -473,51 +472,51 @@ Cell[4697, 146, 340, 11, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5098, 164, 388, 15, 31, "PrimaryExamplesSection", +Cell[5098, 164, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1233214344], + CellID->713428895], Cell[CellGroupData[{ -Cell[5511, 183, 196, 6, 26, "ExampleSection", - CellID->1416804014], +Cell[5510, 183, 196, 6, 26, "ExampleSection", + CellID->1451571462], Cell[CellGroupData[{ -Cell[5732, 193, 158, 5, 27, "Input", +Cell[5731, 193, 158, 5, 27, "Input", CellID->1123033438], -Cell[5893, 200, 463, 14, 61, "Output", +Cell[5892, 200, 463, 14, 61, "Output", CellID->1160727391] }, Open ]], Cell[CellGroupData[{ -Cell[6393, 219, 125, 3, 27, "Input", +Cell[6392, 219, 125, 3, 27, "Input", CellID->1046917037], -Cell[6521, 224, 463, 14, 61, "Output", +Cell[6520, 224, 463, 14, 61, "Output", CellID->1656231810] }, Open ]], Cell[CellGroupData[{ -Cell[7021, 243, 104, 3, 27, "Input", +Cell[7020, 243, 104, 3, 27, "Input", CellID->659131636], -Cell[7128, 248, 722, 21, 86, "Output", +Cell[7127, 248, 722, 21, 86, "Output", CellID->444564108] }, Open ]], Cell[CellGroupData[{ -Cell[7887, 274, 206, 7, 27, "Input", +Cell[7886, 274, 206, 7, 27, "Input", CellID->488856217], -Cell[8096, 283, 969, 28, 61, "Output", +Cell[8095, 283, 969, 28, 61, "Output", CellID->1404156276] }, Open ]], Cell[CellGroupData[{ -Cell[9102, 316, 124, 3, 27, "Input", +Cell[9101, 316, 124, 3, 27, "Input", CellID->886566468], -Cell[9229, 321, 968, 28, 61, "Output", +Cell[9228, 321, 968, 28, 61, "Output", CellID->939649136] }, Open ]], Cell[CellGroupData[{ -Cell[10234, 354, 104, 3, 27, "Input", +Cell[10233, 354, 104, 3, 27, "Input", CellID->670891110], -Cell[10341, 359, 1048, 30, 120, "Output", +Cell[10340, 359, 1048, 30, 120, "Output", CellID->1930502220] }, Open ]] }, Open ]] }, Open ]], -Cell[11428, 394, 23, 0, 41, "FooterCell"] +Cell[11427, 394, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopRemoveNegativePropagatorPowers.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopRemoveNegativePropagatorPowers.nb index d78e22ae8..bdd184d10 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopRemoveNegativePropagatorPowers.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopRemoveNegativePropagatorPowers.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14533, 489] -NotebookOptionsPosition[ 10884, 377] -NotebookOutlinePosition[ 13106, 435] -CellTagsIndexPosition[ 13021, 430] +NotebookDataLength[ 14475, 488] +NotebookOptionsPosition[ 10883, 377] +NotebookOutlinePosition[ 13049, 434] +CellTagsIndexPosition[ 12964, 429] WindowTitle->FCLoopRemoveNegativePropagatorPowers WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopRemoveNegativePropagatorPowers.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$113622], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$114194], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopRemoveNegativePropagatorPowers", ".html"]], @@ -133,7 +133,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1220129947], + CellID->227727755], Cell["", "SectionHeaderSpacer"], @@ -179,7 +179,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1725350482], + CellID->1123703484], Cell[CellGroupData[{ @@ -189,7 +189,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1004893760], + CellID->1014061102], Cell[CellGroupData[{ @@ -378,7 +378,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopRemoveNegativePropagatorPowers", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -390,7 +390,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 42.216579}", + "built" -> "{2020, 6, 20, 19, 5, 55.025057}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -411,8 +411,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -422,14 +421,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5238, 166, 388, 15, 31, "PrimaryExamplesSection", + Cell[5237, 166, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1725350482]} + CellID->1123703484]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12877, 423} + {"PrimaryExamplesSection", 12820, 422} } *) (*NotebookFileOutline @@ -441,56 +440,56 @@ Cell[CellGroupData[{ Cell[3367, 94, 431, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3823, 111, 739, 24, 31, "NotesSection", +Cell[3823, 111, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1220129947], -Cell[4565, 137, 31, 0, 70, "SectionHeaderSpacer"], + CellID->227727755], +Cell[4564, 137, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4621, 141, 143, 4, 70, "Input", +Cell[4620, 141, 143, 4, 70, "Input", CellID->2084003220], -Cell[4767, 147, 410, 12, 37, "Output", +Cell[4766, 147, 410, 12, 37, "Output", CellID->829881120] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5238, 166, 388, 15, 31, "PrimaryExamplesSection", +Cell[5237, 166, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1725350482], + CellID->1123703484], Cell[CellGroupData[{ -Cell[5651, 185, 196, 6, 26, "ExampleSection", - CellID->1004893760], +Cell[5650, 185, 196, 6, 26, "ExampleSection", + CellID->1014061102], Cell[CellGroupData[{ -Cell[5872, 195, 177, 6, 27, "Input", +Cell[5871, 195, 177, 6, 27, "Input", CellID->780191296], -Cell[6052, 203, 399, 11, 39, "Output", +Cell[6051, 203, 399, 11, 39, "Output", CellID->1358803988] }, Open ]], Cell[CellGroupData[{ -Cell[6488, 219, 199, 5, 45, "Input", +Cell[6487, 219, 199, 5, 45, "Input", CellID->970414709], -Cell[6690, 226, 309, 12, 39, "Output", +Cell[6689, 226, 309, 12, 39, "Output", CellID->1116802626], -Cell[7002, 240, 394, 13, 51, "Output", +Cell[7001, 240, 394, 13, 51, "Output", CellID->416010148] }, Open ]], Cell[CellGroupData[{ -Cell[7433, 258, 286, 10, 27, "Input", +Cell[7432, 258, 286, 10, 27, "Input", CellID->141400788], -Cell[7722, 270, 1238, 35, 81, "Output", +Cell[7721, 270, 1238, 35, 81, "Output", CellID->2048218315] }, Open ]], Cell[CellGroupData[{ -Cell[8997, 310, 200, 5, 45, "Input", +Cell[8996, 310, 200, 5, 45, "Input", CellID->1504944720], -Cell[9200, 317, 799, 26, 64, "Output", +Cell[9199, 317, 799, 26, 64, "Output", CellID->1100467970], -Cell[10002, 345, 816, 25, 86, "Output", +Cell[10001, 345, 816, 25, 86, "Output", CellID->1579813190] }, Open ]] }, Open ]] }, Open ]], -Cell[10857, 375, 23, 0, 41, "FooterCell"] +Cell[10856, 375, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSamePropagatorHeadsQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSamePropagatorHeadsQ.nb index 72b12b62b..9213a5ad1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSamePropagatorHeadsQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSamePropagatorHeadsQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11700, 373] -NotebookOptionsPosition[ 8481, 277] -NotebookOutlinePosition[ 10783, 337] -CellTagsIndexPosition[ 10698, 332] +NotebookDataLength[ 11641, 372] +NotebookOptionsPosition[ 8480, 277] +NotebookOutlinePosition[ 10725, 336] +CellTagsIndexPosition[ 10640, 331] WindowTitle->FCLoopSamePropagatorHeadsQ WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCLoopSamePropagatorHeadsQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$114053], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$114625], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopSamePropagatorHeadsQ", ".html"]], None}]}]}, @@ -122,7 +122,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->416658385], + CellID->23191906], Cell[CellGroupData[{ @@ -132,7 +132,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1056470140], + CellID->1603749659], Cell[CellGroupData[{ @@ -278,7 +278,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopSamePropagatorHeadsQ", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -290,7 +290,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 43.614524}", + "built" -> "{2020, 6, 20, 19, 5, 56.116923}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -313,8 +313,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -324,14 +323,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3848, 109, 387, 15, 31, "PrimaryExamplesSection", + Cell[3848, 109, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->416658385]} + CellID->23191906]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10555, 325} + {"PrimaryExamplesSection", 10498, 324} } *) (*NotebookFileOutline @@ -342,39 +341,39 @@ Cell[2969, 78, 303, 11, 45, "ObjectNameGrid"], Cell[3275, 91, 548, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3848, 109, 387, 15, 31, "PrimaryExamplesSection", +Cell[3848, 109, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->416658385], + CellID->23191906], Cell[CellGroupData[{ -Cell[4260, 128, 196, 6, 26, "ExampleSection", - CellID->1056470140], +Cell[4259, 128, 196, 6, 26, "ExampleSection", + CellID->1603749659], Cell[CellGroupData[{ -Cell[4481, 138, 174, 6, 27, "Input", +Cell[4480, 138, 174, 6, 27, "Input", CellID->698415375], -Cell[4658, 146, 911, 26, 61, "Output", +Cell[4657, 146, 911, 26, 61, "Output", CellID->1009347432] }, Open ]], Cell[CellGroupData[{ -Cell[5606, 177, 121, 3, 27, "Input", +Cell[5605, 177, 121, 3, 27, "Input", CellID->74196720], -Cell[5730, 182, 190, 6, 35, "Output", +Cell[5729, 182, 190, 6, 35, "Output", CellID->1476308724] }, Open ]], Cell[CellGroupData[{ -Cell[5957, 193, 305, 10, 27, "Input", +Cell[5956, 193, 305, 10, 27, "Input", CellID->218433689], -Cell[6265, 205, 1797, 49, 61, "Output", +Cell[6264, 205, 1797, 49, 61, "Output", CellID->52978389] }, Open ]], Cell[CellGroupData[{ -Cell[8099, 259, 122, 3, 27, "Input", +Cell[8098, 259, 122, 3, 27, "Input", CellID->598882292], -Cell[8224, 264, 191, 6, 35, "Output", +Cell[8223, 264, 191, 6, 35, "Output", CellID->1795207588] }, Open ]] }, Open ]] }, Open ]], -Cell[8454, 275, 23, 0, 41, "FooterCell"] +Cell[8453, 275, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSolutionList.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSolutionList.nb index 93a0dad4c..7a90b8a41 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSolutionList.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSolutionList.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 29426, 944] -NotebookOptionsPosition[ 26070, 846] -NotebookOutlinePosition[ 28420, 906] -CellTagsIndexPosition[ 28335, 901] +NotebookDataLength[ 29367, 943] +NotebookOptionsPosition[ 26068, 846] +NotebookOutlinePosition[ 28363, 905] +CellTagsIndexPosition[ 28278, 900] WindowTitle->FCLoopSolutionList WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopSolutionList.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$114483], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$115055], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopSolutionList", ".html"]], None}]}]}, @@ -137,7 +137,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1425540647], + CellID->648684696], Cell["", "SectionHeaderSpacer"], @@ -179,7 +179,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2010228741], + CellID->1067369168], Cell[CellGroupData[{ @@ -189,7 +189,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->445215609], + CellID->43211896], Cell[CellGroupData[{ @@ -847,7 +847,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopSolutionList", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -859,7 +859,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 44.949113}", + "built" -> "{2020, 6, 20, 19, 5, 57.240941}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -882,8 +882,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -893,14 +892,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5250, 166, 388, 15, 31, "PrimaryExamplesSection", + Cell[5249, 166, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2010228741]} + CellID->1067369168]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 28191, 894} + {"PrimaryExamplesSection", 28134, 893} } *) (*NotebookFileOutline @@ -912,40 +911,40 @@ Cell[CellGroupData[{ Cell[3227, 91, 764, 20, 120, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4016, 115, 739, 24, 31, "NotesSection", +Cell[4016, 115, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1425540647], -Cell[4758, 141, 31, 0, 70, "SectionHeaderSpacer"], + CellID->648684696], +Cell[4757, 141, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4814, 145, 120, 3, 70, "Input", +Cell[4813, 145, 120, 3, 27, "Input", CellID->880215929], -Cell[4937, 150, 252, 9, 37, "Output", +Cell[4936, 150, 252, 9, 37, "Output", CellID->493603233] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5250, 166, 388, 15, 31, "PrimaryExamplesSection", +Cell[5249, 166, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2010228741], + CellID->1067369168], Cell[CellGroupData[{ -Cell[5663, 185, 195, 6, 26, "ExampleSection", - CellID->445215609], +Cell[5662, 185, 194, 6, 26, "ExampleSection", + CellID->43211896], Cell[CellGroupData[{ -Cell[5883, 195, 953, 30, 45, "Input", +Cell[5881, 195, 953, 30, 45, "Input", CellID->47709897], -Cell[6839, 227, 11535, 359, 197, "Output", +Cell[6837, 227, 11535, 359, 197, "Output", CellID->617892928] }, Open ]], Cell[CellGroupData[{ -Cell[18411, 591, 472, 14, 45, "Input", +Cell[18409, 591, 472, 14, 45, "Input", CellID->1357142669], -Cell[18886, 607, 7118, 232, 122, "Output", +Cell[18884, 607, 7118, 232, 122, "Output", CellID->2061283207] }, Open ]] }, Open ]] }, Open ]], -Cell[26043, 844, 23, 0, 70, "FooterCell"] +Cell[26041, 844, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSplit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSplit.nb index ebd253dd3..119d0b6be 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSplit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCLoopSplit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15644, 529] -NotebookOptionsPosition[ 11942, 419] -NotebookOutlinePosition[ 14338, 479] -CellTagsIndexPosition[ 14253, 474] +NotebookDataLength[ 15583, 528] +NotebookOptionsPosition[ 11941, 419] +NotebookOutlinePosition[ 14278, 478] +CellTagsIndexPosition[ 14193, 473] WindowTitle->FCLoopSplit WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCLoopSplit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$114912], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$115484], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCLoopSplit", ".html"]], None}]}]}, @@ -138,7 +138,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1887189501], + CellID->1859049164], Cell["", "SectionHeaderSpacer"], @@ -192,7 +192,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1773294551], + CellID->53346826], Cell[CellGroupData[{ @@ -202,7 +202,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->353035511], + CellID->1336928767], Cell[CellGroupData[{ @@ -420,7 +420,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCLoopSplit", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -432,7 +432,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 46.121894}", + "built" -> "{2020, 6, 20, 19, 5, 58.325615}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -455,8 +455,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -466,14 +465,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5954, 179, 388, 15, 31, "PrimaryExamplesSection", + Cell[5954, 179, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1773294551]} + CellID->53346826]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14109, 467} + {"PrimaryExamplesSection", 14051, 466} } *) (*NotebookFileOutline @@ -487,7 +486,7 @@ Cell[3185, 91, 918, 21, 202, "Usage", Cell[CellGroupData[{ Cell[4128, 116, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1887189501], + CellID->1859049164], Cell[4870, 142, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4926, 146, 115, 3, 70, "Input", @@ -498,39 +497,39 @@ Cell[5044, 151, 849, 21, 75, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5954, 179, 388, 15, 31, "PrimaryExamplesSection", +Cell[5954, 179, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1773294551], + CellID->53346826], Cell[CellGroupData[{ -Cell[6367, 198, 195, 6, 26, "ExampleSection", - CellID->353035511], +Cell[6365, 198, 196, 6, 26, "ExampleSection", + CellID->1336928767], Cell[CellGroupData[{ -Cell[6587, 208, 229, 8, 27, "Input", +Cell[6586, 208, 229, 8, 27, "Input", CellID->823323120], -Cell[6819, 218, 841, 32, 63, "Output", +Cell[6818, 218, 841, 32, 63, "Output", CellID->1503217360] }, Open ]], Cell[CellGroupData[{ -Cell[7697, 255, 155, 5, 27, "Input", +Cell[7696, 255, 155, 5, 27, "Input", CellID->1597311269], -Cell[7855, 262, 974, 34, 63, "Output", +Cell[7854, 262, 974, 34, 63, "Output", CellID->1245454217] }, Open ]], Cell[CellGroupData[{ -Cell[8866, 301, 253, 9, 27, "Input", +Cell[8865, 301, 253, 9, 27, "Input", CellID->459381565], -Cell[9122, 312, 1014, 36, 60, "Output", +Cell[9121, 312, 1014, 36, 60, "Output", CellID->1669307330] }, Open ]], Cell[CellGroupData[{ -Cell[10173, 353, 154, 5, 27, "Input", +Cell[10172, 353, 154, 5, 27, "Input", CellID->664175678], -Cell[10330, 360, 1546, 52, 57, "Output", +Cell[10329, 360, 1546, 52, 57, "Output", CellID->963406609] }, Open ]] }, Open ]] }, Open ]], -Cell[11915, 417, 23, 0, 41, "FooterCell"] +Cell[11914, 417, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMakeIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMakeIndex.nb index 81b3aae4a..ba63416cd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMakeIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMakeIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11013, 370] +NotebookDataLength[ 10956, 369] NotebookOptionsPosition[ 7361, 261] -NotebookOutlinePosition[ 9794, 322] -CellTagsIndexPosition[ 9710, 317] +NotebookOutlinePosition[ 9737, 321] +CellTagsIndexPosition[ 9653, 316] WindowTitle->FCMakeIndex WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCMakeIndex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$115343], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$115915], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCMakeIndex", ".html"]], None}]}]}, @@ -123,7 +123,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2015432507], + CellID->1400561772], Cell[CellGroupData[{ @@ -133,7 +133,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->610147415], + CellID->771002495], Cell[CellGroupData[{ @@ -188,7 +188,7 @@ Cell[BoxData[ TraditionalForm], ",", FormBox["Lor4", TraditionalForm]}], "}"}], TraditionalForm]], "Output", - ImageSize->{116, 14}, + ImageSize->{116, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[3]=", @@ -231,7 +231,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"Suna", ",", "Sun1", ",", "SunMinus4"}], "}"}], TraditionalForm]], "Output", - ImageSize->{157, 14}, + ImageSize->{157, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[5]=", @@ -274,7 +274,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 47.429485}", + "built" -> "{2020, 6, 20, 19, 5, 59.421353}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -298,8 +298,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -311,12 +310,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3958, 110, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2015432507]} + CellID->1400561772]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9566, 310} + {"PrimaryExamplesSection", 9509, 309} } *) (*NotebookFileOutline @@ -329,10 +328,10 @@ Cell[3163, 89, 770, 17, 136, "Usage", Cell[CellGroupData[{ Cell[3958, 110, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2015432507], + CellID->1400561772], Cell[CellGroupData[{ Cell[4371, 129, 195, 6, 26, "ExampleSection", - CellID->610147415], + CellID->771002495], Cell[CellGroupData[{ Cell[4591, 139, 148, 4, 27, "Input", CellID->733750340], @@ -348,7 +347,7 @@ Cell[5077, 161, 176, 5, 51, "Output", Cell[CellGroupData[{ Cell[5290, 171, 223, 7, 27, "Input", CellID->897453820], -Cell[5516, 180, 361, 14, 35, "Output", +Cell[5516, 180, 361, 14, 37, "Output", CellID->854514805] }, Open ]], Cell[CellGroupData[{ @@ -360,7 +359,7 @@ Cell[6022, 204, 357, 10, 51, "Output", Cell[CellGroupData[{ Cell[6416, 219, 228, 7, 27, "Input", CellID->584001586], -Cell[6647, 228, 261, 9, 35, "Output", +Cell[6647, 228, 261, 9, 37, "Output", CellID->619574853] }, Open ]], Cell[CellGroupData[{ diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMatrixIsolate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMatrixIsolate.nb index a35e74d60..4d7df0164 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMatrixIsolate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMatrixIsolate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 32012, 1051] -NotebookOptionsPosition[ 28649, 949] -NotebookOutlinePosition[ 30786, 1006] -CellTagsIndexPosition[ 30701, 1001] +NotebookDataLength[ 31964, 1050] +NotebookOptionsPosition[ 28652, 949] +NotebookOutlinePosition[ 30735, 1005] +CellTagsIndexPosition[ 30650, 1000] WindowTitle->FCMatrixIsolate WindowFrame->Normal*) @@ -83,7 +83,7 @@ FCMatrixIsolate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$115778], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$116350], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCMatrixIsolate", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2116969803], + CellID->1526180297], Cell["", "SectionHeaderSpacer"], @@ -237,7 +237,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->747535], + CellID->1382367176], Cell[CellGroupData[{ @@ -247,7 +247,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1224702441], + CellID->273685351], Cell[CellGroupData[{ @@ -962,7 +962,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 48.665163}", + "built" -> "{2020, 6, 20, 19, 6, 0.565279}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -982,8 +982,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -993,14 +992,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7511, 224, 384, 15, 31, "PrimaryExamplesSection", + Cell[7511, 224, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->747535]} + CellID->1382367176]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 30561, 994} + {"PrimaryExamplesSection", 30506, 993} } *) (*NotebookFileOutline @@ -1014,7 +1013,7 @@ Cell[4162, 116, 429, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4616, 132, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2116969803], + CellID->1526180297], Cell[5358, 158, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5414, 162, 118, 3, 70, "Input", @@ -1025,34 +1024,34 @@ Cell[5535, 167, 1915, 50, 170, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7511, 224, 384, 15, 31, "PrimaryExamplesSection", +Cell[7511, 224, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->747535], + CellID->1382367176], Cell[CellGroupData[{ -Cell[7920, 243, 196, 6, 26, "ExampleSection", - CellID->1224702441], +Cell[7924, 243, 195, 6, 26, "ExampleSection", + CellID->273685351], Cell[CellGroupData[{ -Cell[8141, 253, 2451, 75, 164, "Input", +Cell[8144, 253, 2451, 75, 164, "Input", CellID->827281752], -Cell[10595, 330, 8216, 272, 160, "Output", +Cell[10598, 330, 8216, 272, 160, "Output", CellID->1730362021] }, Open ]], Cell[CellGroupData[{ -Cell[18848, 607, 453, 12, 45, "Input", +Cell[18851, 607, 453, 12, 45, "Input", CellID->868980652], -Cell[19304, 621, 8356, 280, 166, "Output", +Cell[19307, 621, 8356, 280, 166, "Output", CellID->987669620] }, Open ]] }, Open ]], -Cell[27687, 905, 31, 0, 29, "SectionFooterSpacer"] +Cell[27690, 905, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[27755, 910, 270, 12, 31, "SeeAlsoSection", +Cell[27758, 910, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[28028, 924, 579, 20, 56, "SeeAlso", +Cell[28031, 924, 579, 20, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[28622, 947, 23, 0, 41, "FooterCell"] +Cell[28625, 947, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMemoryAvailable.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMemoryAvailable.nb index 74a576c62..3864e3d5a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMemoryAvailable.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMemoryAvailable.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7369, 218] +NotebookDataLength[ 7368, 218] NotebookOptionsPosition[ 5222, 160] -NotebookOutlinePosition[ 7161, 210] -CellTagsIndexPosition[ 7118, 207] +NotebookOutlinePosition[ 7160, 210] +CellTagsIndexPosition[ 7117, 207] WindowTitle->FCMemoryAvailable WindowFrame->Normal*) @@ -80,7 +80,7 @@ FCMemoryAvailable.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$116216], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$116788], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCMemoryAvailable", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 49.811838}", + "built" -> "{2020, 6, 20, 19, 6, 1.625746}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMultiLoopTID.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMultiLoopTID.nb index eb8f8bdf8..332be507f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMultiLoopTID.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCMultiLoopTID.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 25025, 648] -NotebookOptionsPosition[ 21594, 548] -NotebookOutlinePosition[ 24073, 613] -CellTagsIndexPosition[ 23953, 607] +NotebookDataLength[ 24980, 647] +NotebookOptionsPosition[ 21600, 548] +NotebookOutlinePosition[ 24026, 612] +CellTagsIndexPosition[ 23906, 606] WindowTitle->FCMultiLoopTID WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCMultiLoopTID.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$116658], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$117230], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCMultiLoopTID", ".html"]], None}]}]}, @@ -135,7 +135,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->451424003], + CellID->497550741], Cell["", "SectionHeaderSpacer"], @@ -185,7 +185,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->34851636], + CellID->1923409498], Cell[CellGroupData[{ @@ -195,7 +195,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1627843658], + CellID->655084334], Cell[CellGroupData[{ @@ -347,186 +347,186 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQtUVNX+x/X/t/qnrqUkKVbcq4YC4oUSKwgVeYSP8JH6v39sgSXlJQFR -01DzryGkKIjig9YNs1RM8+aLMEFlaZfQeKiYoiAIKMpDGJhhQObBzJn/DMxf -YOacM+ex9zyY32etWvfGzG/v7+939j77nDNnf0eHrpj/j//o16/f6v9S/2v+ -krU+n3++ZP2Coer/899Rq5eFRS39dGbUmqVhSz/3CP1P9X/8t/qfqP79+mn+ -twoAAAAALASlKD/pH4FezqPf+DDlzlPC1N0BACtHaZmDUFJ15PvrLUqVrGr/ -1NffvyREFNZCswEApqCj+uCC0N9FKlVbUdTUxVdbeIaTN+QkzPT66q5E1V68 -duq8LIExRiOhaFd0tvO0KMrr04JW7pHosmESaQBglhAdOoc/IchcMOtYrUIl -vfe1h//P9Ur+MUU5wQH7KiX1GaGxBWJco01PiIantxOWplZIeUQ1kA2jSAMA -DBCS6uzd/rbPDR4fsvarjeuilszznbFka8YDCcvjmJDV5u5fNWPSvFxRr//e -di08IP6eVKWoSZvmEV/GahRSxJSUbA3clFd4+OAtHIONSoiKaC0++l2OQMEn -uKFs4JUGADhRNpzxHWY745x2Ma1oyPj0r4P/8tF5AZvlAyFteFxbuMphZEBO -rwGoPvd6vqcOLav41md8SL4YRUzJnc0+wRt/vN/OIhbfRgnJw/Mn//1Erk5X -28NyMcfpxGA2sEoDAJwQTRcChw+bdqJ7pS0ti3cZOCwgu5llJPU4Gf9q7wGo -qD3m4+TtG7xyc+Kuue5zd6RXtbM715LEVIkLIz47Ui1n2Ts+jcofHw1xHOPo -omb8hCn/W8xxoBvOBnZpAIALUc7fR9p4Hn7cfZqVV+11G2Tjc6FJ/8PK1uKf -vpw/2Xtd0prggDfsR3ssO/rg2RJdf9QTgqyFfilV9CODZUw04GtU9ujXXYn7 -j6SEjRv4/IiAyLjDVRLtXxhlAwAsE3HeR68Ndf/nw+7jmxBkzrId7JpUISP7 -PNGUNWX46OVXWghVR82/Fox82fd4nXYS0huAmqHjGX3b4BmcTUxkYGmUEBd8 -8bZ3qjqb0tIY5xHvHq/rvoBhmg0AsEDaisJHDfnbjvvds4ai9id/25e8v3/U -Qf4N0W/TXnFNruz8gviP/7Ef9cn1tq6/cB+ASGN21P4cOt1bh1mRV0Q6VxIY -hCgbz86wd+vMZmthqMuU76opkggAfYv24miHIU4xpc8W9orGc6Gjhk9NKqE8 -dfYcgG03/jFuwqYS7fIdzUyCKqYpGu2oPjDJzl09fygbs5YtjC9qhQcwgFUg -KdnkNMRhjXbFrWwtTovwcA7cmiukeTahGYDaRYy8at/kyZqHml1I78XxmElQ -xzRFo5q7L+vD1+w9nn7mUgX8qB6wCmT1eafiZw5/7oXXFn6xOTZ2U3TkJx8v -Tzh1u8XAE071AHzZblb0tt37dsWs+N+f//8+pbzxz8ztU18aNHb1v/IqnrL8 -/RmOmMZvVCnI+tjZftigAf3VDBg6cfUNHj+GBYA+Ts+LAnOOaexG5XWZ2+JO -Puyaj4iO5sLkdXmoXtABgL5H5wDcSf5gx5xiGrdRRf3J6Q7+Zxq61jDK1vLs -9Is1PH5WDwB9GoX41r+iXh9k67/j3C1Dl0GmjGn0Rom224nznO3s3wgIClu3 -PfXU9SZ4agMAAAAAAAAAAACYCn8AAIBOKisrTT0hAQDQZ2H6GgUAAAAAAAAA -AABgaeCwX7ESSxcrkakCpYBhcNivYLJ0MTesRKYKlAIMQGe/gjemGWIlMlWg -tK9BapuCKg5v+xUScMTsAlUqkAS3UJkcwKcUNyataUfdiaA3g/PF5H+V1VxK -O3W3rXf/UBm+6KBnm6JsKTpx9Eoj2xe70NuvEO3laVG+414ebDN6csShsp7b -mzOLSZpGugapJKCAOjh1wi1OJk3JNBhXqYHOIABfTZnSUXvy08kv2weRziQd -9ekrF+8nm7KQGL7oQGqb0n4nOXh9dhMbtejtV9rv7lyRkvdEJm+6ljLHbohb -QrmMTUzqNLKUgAb64GQJt0CZlCXr8RGjKWXQGZ7gqilj5I9PbEj+NXGiA9lM -ohRkBntEkE4x6AxfdCBxbWi+FPzOMs125rzi8LFfkddfzq7T1v7pzcgxr87O -bWEekyaN7CSghCa4XsItUSZVyXphLKWMOsMf9DVljLz6+JeppS1V37iTzSSK -2mPeTov+IE0YK8MXNpBkg2i++L5T4PkmkqlEvWg8HrMhaf+hH/bFLA2aFXRF -RBOHIdQxO2ktXOLs2dOgwhB0acQkoQvO9jQ0CafGZDJpg3dCXTLjKjXQGSYY -t6ZMkT048uWBcolK/oB8JmnND3KYuKeSTDNbwxfmkGVDUrLR1eXzW3rTJiHO -WzFpusZ7Wi2mPGHCSO/up1lcj0+6mJo/C3PC/VbnsnnrgCaNeCT0iM7RnoYq -4XSYTiafkhlVqaHOMMKYNWWGtOLQl4cqNfMZ1Uwi/M3H/q20GpILKNaGL8zf -AyLLhqxi55sOH+brPakS5weNmRDXtbu5vHKP2ysIjk+6mCql8Gr8qgOl7O6X -UaeRuwTM9jRUCTdPmXxKZlSl9J0xw5oyQlqWOM3tb26djLcf+MLQsa4+K262 -9fyI+Or8Me7fPNCfezkYvjDvF0k2pKWxrs6RN5/qflZ42c/u9VVd0yyqmYQ6 -pnrVenT7gT/FbE8nlGnEJaEHHO1pqBJOh+lk8imZEZVyPX50MWJN2dJR/d3b -Y0nWJLKKJHeX5fptczF8YQyZbYo4b5Gj19FavfCy+zvcbEaFXdA8xmq7Hj12 -RK/jk7H9ikJYeOJ0kUhBG1P26JddqQWizhvMSlHxmcxa2su4HjGp0ohSAhUc -7WmoEq6HWcjkUzKjKWV5/NCAu6Y8oJpJ1OuWLR5evW8OcTV8YQa5bYr03hYP -P1KPR2VL4bbZY21Hus8J37Rt+dhn16Ts7FdEuSGOjiE52lUkWUz1mmuZ44v9 -+2npP9A18T79gdAzJkkaUUug7AYnexrqhJunTO4lM5JS9scPXU8w1xQLSmHO -2g+2831CxA9CXLBhftwNQx6PetekCEAVk2EaMUjgYk/DMOH6mE4mx+CWqdSo -NUWItDojOfVyPceHVgiaP7dv94U6w83LK5Nd0c8kyGIySSMGCeztaRgnnOLb -JpHJKbilKjV2TRFCyARNMtPMZkrJEyGDphUtt87Gq1d2DitPV6D6ITLymPRp -xCCBiz0Nw4TTYHSZHINbplLT1BQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAMAiATs2ADAnlJY5CDHZsVloNgDAFHRUH1wQ+rtIsyFl1NTFV/nu -GC5vyEmY6fXVXYmqvXjt1HlZAmOMRnR2bHTZMIk0ADBL9AzOCEHmglma7X+l -97728P+5nsNWPboxRTnBAfsqJfUZobEFvHfqY9poJ7zt2AxlwyjSAAADqLwC -qQzO2q6FB2h2v1PUpE3ziC9jNQopYkpKtgZuyis8fPAWjsGG3p2wB4aygVca -AOAEiVcglcGZ+tzr+Z46tKziW5/xIfliFDEldzb7BG/88T6WjerQuxP2wGA2 -sEoDAJyg8wok2bhbUXvMx8nbN3jl5sRdc93n7kivYrmlDdlm4OLCiM+OVGPc -3wqpO2EPDGcDuzQAwAUrr0CWBmeEIGuhX0oV/cjgbJrGB3yNyh79uitx/5GU -sHEDnx8REBl3uErrkMAsGwBgmbD1CmRjcKYZOp7Rtw2ewbmapvECS6OEuOCL -t71T1dmUlsY4j3j3eF33BQzTbACABcLaK5CrwRktSGNidmqjQ9l4doa9W2c2 -WwtDXaaYzvMAAIwKB69AjgZntOCIaYpGO6oPTLJzV88fysasZQvji0zqeQAA -RoOLVyBHgzNacMQ0RaOauy/rw9fsPZ5+5lIF/KgesAq4egVyMzgzfkzjN6oU -ZH3sbD9s0ID+agYMnbj6BnqzagDoK3AxODNFTGM3Kq/L3BZ38mHXfER0NBcm -r8vD430FAH0B9gZnpolp3EYV9SenO/ifaehawyhby7PTL9bw+Fk9APRpuBic -mSKm0Rsl2m4nznO2s38jIChs3fbUU9eb4KkNAAAAAACARaB4khG2vEBs6m4A -AGDRKB4ffi8Q2b5RFo0/AADUVFZW0gwfmEkAAOBM9+sMnk42w9y8qF5nAAAA -YACsSQAA4A/MJAAA8AdmEmtG/ujwomlbS3n/fNN6HGRAKQDoQDy9d2zHFq93 -YnnPJJgcZMwQUAoAvVEK87//8W7Nb3O8+M8k6BxkzB1QClgspF4tfOPIazO/ -O/tYphLlcJxJ8DjIsGvOhOBTihu2mbRcpaaCaC9Pi/Id9/Jgm9GTIw6VUeya -Lqu5lHbqblvvP6JymdHtka5Xi7Kl6MTRK41s3yYj8XyRlu9cOHvO3Llz358y -cpjzjE+/e8D4JVqeDjKkCeTSHH8MVJw62ziUMjv8+ECdSb5KgZ603925IiXv -iUzedC1ljt0Qt4Ry/bHVUZ++cvF+svkZicuMDqReLe13koPXZzexKS2V0Uwn -LbkLp8SxWZPwcpChTiCnzvODQcXJso1HKZPDjx/0meSuFOiNvP5ydp22eE9v -Ro55dXauruetUpAZ7BGRT/aKEjqXGR1IrCKaLwW/s0yzhzq/OFpYzySk0Zg5 -yNAkkF1zSGBQcZJsY1LKqDP8ockkR6UAHa2FS5w9ezo9dKKoPebttOgP0qOD -lcsMG0hKTzRffN8p8HyT7lSC3PNFvd4+HrMhaf+hH/bFLA2aFXSl+9qI09Cm -SyCG5hgG74S84p1fpMg2LZyVGugMEzgfBpyUAjQQwpxwv9W5eq8NtOYHOUzc -U0lWYLYuM8whK72kZKOry+e39M8RSD1fCHHeiknTNfbZ6iv+8oQJI727HwRy -G9o0CcTRHMPgKuqKd0KZbRo4KzXUGUZwPQy4KAUoUQqvxq86UEpyw0v4m4/9 -W2k1JFeLrF1mmHq4kJdeVrHzTYcP80key6H0fBHnB42ZENe1Qbu8co/bK7yH -NnUCuTfHLJN0wWkq3gl1tjEope8MZusfLkoBctTLzqPbD/xJbiwvvjp/jPs3 -D/RPNBxcZhhDVnppaayrc+TNp/qfRun5IrzsZ/f6qq4zFJqZhDKBeJpjFJy2 -4l2NU2abGo5KDXeGGRwPAy5KATJkj37ZlVog6rxpqhQVn8ms7XVpIqtIcndZ -rp9oLi4zjCHzahHnLXL0OlpLEh6l54vs/g43m1FhFzRPANuuR48d0WtoM46m -EBaeOF0k6lzKUyQQZXPstBioeCfU2daBr1ImnWEGx8OAsVKADvU6Ypnji/37 -aek/0DXxvk4lpWVbPLx63wnj6jLDDHKvFum9LR5+5MaSSD1flC2F22aPtR3p -Pid807blY59dzrOLJsoNcXQMyelcgJMkEHVzLLQwqLiKNtsolTLrDEO4HQbM -lQJ8UQpz1n6w3bSPwwhxwYb5cTfIjSVxGc3oXc5zhGECUTXHPzhttukwqVIu -hwFnpQA3pNUZyamX6zk+oUPQ/Ll9uy/UUTWPy2hGXpnsiuiAZ5JAhM3xCm4g -2wa/bSql7A8DfkoBbhAyQZPMNFO3UvJESNk0LqMZRcuts/HqRbHDytMVSH7D -TZ9A5M1xDk6bbUaYQimXw4C/UgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAEsFHNkAAOANJkc2pVlOSebZKwDoA6BzZOuoPrgg9HeRZtPKqKmL -r/baQl3ekJMw0+uruxJVe/HaqfOyBEYb0nS94oDphACAuYHHZY8QZC6YpdkP -WXrvaw//n+t1d9wR5QQH7KuU1GeExhbw3oeQshO60gz1ikNMowgBADOGp8se -PW3XwgM02wEqatKmecSX6c1JkpKtgZvyCg8fvIVj+FFJM9QrDjHxCgEAs4eX -y54h1Od8z/fOCQhZxbc+40PyxXonf8mdzT7BG3+8j2VnOiofOoO94hATqxAA -sAw4uuwZRFF7zMfJ2zd45ebEXXPd5+5Ir9Ld40dcGPHZkWqMu3eR7K9uuFfs -Y+IXAgBmAXLPvmfIHv26K3H/kZSwcQOfHxEQGXe4SmuSoCIEWQv9UqpwDy+W -0hj1Cl+6AMDCQerZ9yyouOCLt71TH8pV0tIY5xHvHq/rvlTQDFnP6NtGWO+z -kca0V1jSBQB9AJSefVqUjWdn2Lt1mq20Foa6TEFte4DZh44WHDEBoA+A0rNP -S0f1gUl27ur5Q9mYtWxhfJGpbA8wSMMSEwD6ACg9+7RobiesD1+z93j6mUsV -JvxRPQZpWGICQB8AqWefBqUg62Nn+2GDBvRXM2DoxNU3TOVXjVwappgA0AdA -7Nknr8vcFnfyYdcAIzqaC5PX5eGxvzIMDjtCXBaHAGDhIPXsU9SfnO7gf6ah -66SsbC3PTr9Yw+Nn9fzAYUeIy+IQACwZ1J59RNvtxHnOdvZvBASFrdueeup6 -k8nMqnHYEeKyOAQAAAAAAAAAAAAAM8UfAABEVFZWmnpAAwDQN2H6sgMAAAAA -AAAAAAAAoAOtNw0Opxsrcc+xEpkqa1JqTaD1psHhdIPJPcfcsBKZKmtSalWg -86ZBHw1fTDPESmSqrEmpuULqKYMqDmdvGjxONyTgiNkFqsQiCW6hMjmAT6lF -Iau5lHbqblvv2hCS6uzd/rbPDR4fsvarjeuilszznbFka8YDCb8S6pmkKFuK -Thy90sj2rTe03jTonW6I9vK0KN9xLw+2GT054lBZzz3bmcUkLQpdg1QSUEAd -nLp8FieTpmQa+Crt83TUp69cvJ9sOlU2nPEdZjvjnNaRUdGQ8elfB//lo/MC -HpvakJqktN9JDl6f3cSmEmi9adA73bTf3bkiJe+JTN50LWWO3RC3hHIZm5jU -RWEpAQ30wcnKZ4EyKUvW4yOclfZ9lILMYI+IfDHJn4imC4HDh0070e3wKC2L -dxk4LCC7mV+bJHYJzZeC31mm2bycVxxe3jRIo8nrL2fXaQ/Epzcjx7w6O7eF -eUyaorCTgBKa4Hrls0SZVCXrBUelVoCi9pi306I/SIspyvn7SBvPw4+7Z1l5 -1V63QTY+F5r4NUpyJBDNF993CjzfpDuVIDdbUa9gj8dsSNp/6Id9MUuDZgVd -efZtHv4UlDE7aS1c4uz5z4fMvW7oioJJQhecs01VPlpMJpM2eCfUJeOk1Bpo -zQ9ymLinkuwoF+d99NpQ957pJASZs2wHuybx3TyL7EiQlGx0dfn8lv6UjtRs -hRDnrZg0XWOorb5AL0+YMNK7+7kd1+OTLqbmz8KccL/VuWzer6ApCh4JPaJz -zDZl+WgwnUw+JeOi1BoQ/uZj/1ZaDcnFXVtR+Kgh2g3Fu1DU/uRv+5L394/I -b44yf0eJ7EiQVex80+HDfJKnaCjNVsT5QWMmxHXtjC6v3OP2CoLjky6mSim8 -Gr/qQCk7j0zqonCXgNkuh7p85iiTT8m4KLUGxFfnj3H/5oH+eaG9ONphiFNM -6bPFraLxXOio4VOTSvjPxmRHgrQ01tU58uZT/U+jNFsRXvaze31V1wkF1UxC -HVO9hD66/cCfYrYrYcqi4JLQA47Zpi4fNaaTyadkXJRaA7KKJHeX5fp5kZRs -chrisEbr9Ki+fk6L8HAO3JorRHFrmswkRZy3yNHraC1JeJRmK7L7O9xsRoVd -0Dywa7sePXZEr+OTcTSFsPDE6SKRgjam7NEvu1ILRJ23q5Wi4jOZtbQXhT1i -UhUFpQQqOGabunw6mIVMPiVjrNTakJZt8fDqfW9JVp93Kn7m8OdeeG3hF5tj -YzdFR37y8fKEU7fRbAdMbpIivbfFw4/cABOp2YqypXDb7LG2I93nhG/atnzs -swtkdtFEuSGOjiE52iUzWUz1Cm6Z44v9+2npP9A18T793aWeMUmKgloCZTc4 -ZZumfGYpk3vJmCu1OpTCnLUfbDft0ytCXLBhftwNcgNMXGYrehfIZhSTYVEw -SOCSbdry0WE6mRyDc1ZqJUirM5JTL9czf0yJuvlz+3ZfqKNqHpfZirwy2RX9 -TIIsJpOiYJDAPtsGymfw2yaRySk4P6VWAiETNMlMM9MqJU+ElE3jMltRtNw6 -G69eIzusPF3B7sGKEWPSFwWDBC7Zpi0fI4wuk2Nw/koBAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAADMGrBdAwCAN5hs15RmOSWZZ68AoA+Aznat -o/rggtDfRZqtLqOmLr7aaytzeUNOwkyvr+5KVO3Fa6fOyxIYbUjT9YoDphMC -AOYGHm8+QpC5YJZmX2Lpva89/H+u1922R5QTHLCvUlKfERpbwHoLR8ad0JVm -qFccYhpFCACYMei9+XrQdi08QLO7oaImbZpHfJnenCQp2Rq4Ka/w8MFbOIYf -lTRDveIQE68QADB70Hvz9UB9zvd875yAkFV86zM+JF+sd/KX3NnsE7zxx/tY -9rOjMrMz2CsOMbEKAQDLAK3TXzeK2mM+Tt6+wSs3J+6a6z53R3qV7l474sKI -z45UY9yii2STdsO9Yh8TvxAAMAuQO/09Q/bo112J+4+khI0b+PyIgMi4w1Va -zwcVIcha6JdShXt4sZTGqFf40gUAFg5Sp79nQcUFX7ztnfpQrpKWxjiPePd4 -XfelgmbIekbfNsJ6n400pr3Cki4A6AOgdPrTomw8O8PerdM7prUw1GUKam8D -zLZ6tOCICQB9AJROf1o6qg9MsnNXzx/KxqxlC+OLTOVtgEEalpgA0AdA6fSn -RXM7YX34mr3H089cqjDhj+oxSMMSEwD6AEid/jQoBVkfO9sPGzSgv5oBQyeu -vmEqU2rk0jDFBIA+AGKnP3ld5ra4kw+7BhjR0VyYvC4Pj/OTYXCYGOIyRgQA -Cwep05+i/uR0B/8zDV0nZWVreXb6xRoeP6vnBw4TQ1zGiABgyaB2+iPabifO -c7azfyMgKGzd9tRT15tM5kiNw8QQlzEiAAAAAAAAAAAAAJgF/gAAGJHKykpT -D3oAAAAAAAAAAAAAAAAAQANatxoc3jdW4qdjJTJV1qTUmkDrVoPD+waTn465 -YSUyVdak1KpA51aDPhq+mGaIlchUWZNSc4XUZQZVHM5uNXi8b0jAEbMLVIlF -EhyfTNxYj1KGEO3laVG+414ebDN6csShMoq9xGU1l9JO3W3r/UdCUp2929/2 -ucHjQ9Z+tXFd1JJ5vjOWbM14IOF3pOrZpihbik4cvdLI9j04tG416L1vaDLP -LCZpUegapJKAAurg1OXDIZPZ8cwHfEotmva7O1ek5D2RyZuupcyxG+KWUK7/ -rnhHffrKxfvJplNlwxnfYbYzzmk9GhUNGZ/+dfBfPjov4LHNDaltSvud5OD1 -2U1sKoHWrQa99w1l5pnFpC4KSwlooA9OVj48Mpkcz/zApdTCkddfzq7T5vrp -zcgxr87O1XWCVQoygz0i8sUk3yaaLgQOHzbtRLfno7Qs3mXgsIDsZn7dIjFQ -aL4U/M4yzXbmvOLwcqtBGo0q88xi0hSFnQSU0ATXKx8mmQyOZxSgV9qnaC1c -4uz5z4c6bieK2mPeTov+IC2mKOfvI208Dz/unmXlVXvdBtn4XGji1xWSShHN -F993CjzfpDuVILdfUS+Pj8dsSNp/6Id9MUuDZgVdefZtHo4VlDE7Ic88DXRF -wSShC87ZpiofLZxldsI6q70wrtK+BCHMCfdbnatrcqBqzQ9ymLinkqwe4ryP -Xhvq3rNWhCBzlu1g1yS+22mRVUpSstHV5fNb+lM6UvsVQpy3YtJ0jcW2+gK9 -PGHCSO/u53ZchyFdTBV15mmgKQoeCT2ic8w2Zflo4CxTxSmrug0YUWnfQSm8 -Gr/qQCnJ/Snhbz72b6XVkFzctRWFjxqi3WK8C0XtT/62L3l//4j85ihTixby -Sskqdr7p8GE+yVM0lPYr4vygMRPiuvZKl1fucXsFwTCki0mTeRqoi8JdAmYD -HeryYZBJn1UzVNpHUK8Sj24/8Ce5k7z46vwx7t880D8vtBdHOwxxiil9tuRT -NJ4LHTV8alIJ/9mYrFLS0lhX58ibT/U/jdJ+RXjZz+71VV0nFFQzCXVM2szT -QFkUXBJ6wDHb1OWjhqNMrlnVxYhK+wSyR7/sSi0Qdd40VYqKz2TW9ro0kVUk -ubss18+LpGST0xCHNVrvR/VVZVqEh3Pg1lwhilvTZLYp4rxFjl5Ha0nCo7Rf -kd3f4WYzKuyC5oFd2/XosSN6DUPG0RTCwhOni0QK2pgGMk8Tk6ooKCVQwTHb -1OXTga9MllmlAbfSPoV6HbHM8cX+/bT0H+iaeF8n8dKyLR5evW9cyerzTsXP -HP7cC68t/GJzbOym6MhPPl6ecOo2mg2CyW1TpPe2ePiRW2IitV9RthRumz3W -dqT7nPBN25aPfXb1zS6aKDfE0TEkR7teJovJIPM0MUmKgloCZTc4ZZumfChl -ss+qCZVaHUphztoPtpv26RUhLtgwP+4GuSUmLvsVvatvM4rJsCgYJHDJNm35 -6DCdTJWRlVoJ0uqM5NTL9RwfqCFo/ty+3RfqqJrHZb8ir0x2RT+TIIvJpCgY -JLDPtoHyGfy2SWSqjK/USiBkgiaZaWZapeSJkLJpXPYripZbZ+PVa1iHlacr -UP3kGnlM+qJgkMAl27TlY4TRZapMpRQAAAAAAAAg5/8A3FptUQ== - "], {{0, 193}, {366, - 0}}, {0, 255}, +1:eJztnQtUVNX+x/X/t/qnrqUGKVbcq4YC4oWSLAgVEcJH+Ej93z+2wJLymoio +aWj6l1BSFETRpHXDLBVDvfmAMEFlaZfQeKiYL1AEFOQhDDAMyDyYc+Y/A/MX +mDnnzHnsPQ/m91mr1r0x89v7+/vtvc8+c2b2d2TIynn/+I8+ffqs+S/1v+Yt +Xufz+eeLv5w/WP1//jt8zbKl4Us+nRG+dsnSJZ97hPyn+j/+W/1PeN8+fTT/ +WwUAAAAAFgIhzov/R4CX88g3Pky885Q0dXcAwMohLHMSSsuP/HCtmVDJy/dP +fv39i02IwlpoNgDAFLRXHJwf8rtYpWotDJ+86EqzwHCKuuzYGV5f3ZWq2m6v +mzw3U2SM2Ugq25Qd7TwtDPf6NL+FfySmbJhEGgCYJWS7zvAnRRnzZx6tVqpk +97728Pu5lhAeU5wd5L+vTFqbHrIlX4JrtukJ0fD0VuySpFKZgKgGsmEUaQCA +AVJakbXHz/a5gWOD1321aX344rlTpy/elv5QynEck/LqnP2rp781N0fc47+3 +Xg31j7knUymrkqd4xNznNAtpYkqLtgVE5hYcPngTx2SjE6IiW26nfJ8tUgoJ +bigbeKUBAE6IutSpNrbTz2o308q69E//OvAvH50Tcdk+kLK6x9UFqx2G+2f3 +mIDqa6/ne+rQ8tLvfMYG50lQxJTe2ewTtOmnB20cYgltlJQ+Onfy308U6nS1 +PiqR8FxODGYDqzQAwAnZcD5gqM2UE107bdn9GJf+Nv5ZjRwjqefJ2Fd7TkBl +9VEfJ++pQas2x+2e4z5nZ1p5G7drLUVMlaRg+WdHKhQceyekUcXjlGDHUY4u +asaOm/S/t3lOdMPZwC4NAHAhzv778CGehx93XWYV5d+4DRjic75B/8VEy+1j +G+ZN9F4fvzbI/w37kR7LUh4+26Lrz3pSlLnAN7GceWZwjIkGfI3KK3/dHbf/ +SOLSMf2fH+YfFn24XKr9C6tsAIBlIsn96LXB7v981DW+SVHGTNuBrvGlcqrX +kw2Zk4aOXHG5mVS1V/1r/vCXpx6v0S5CehNQM3U8I24ZvIJziYkMLI2Skvwv +3vZOUmdTVhzlPOzd4zVdNzBsswEAFkhrYeiIQX/b+aBr1VBWH/Ozfcn7h8p2 +6neIf5vyimtCWccbJH/8j/2IT661dv6F/wREGrO9+ueQad46zAy7LNa5k8Ag +hKg/M93erSObLQUhLpO+r6BJIgD0LtpuRzgMcooqfraxV9afDRkxdHJ8Ee2l +s/sEbL3+jzHjIou023c0KwmqmKZotL3ywAQ7d/X6QdRnLlsQU9gCD2AAq0Ba +FOk0yGGtdsdNtNxOXu7hHLAtp4nh2YRmAmo3MYryfRMnah5qdiK7Fy1gJUEd +0xSNEi13jm0IXfvN8bTUi6XwpXrAKpDX5p6KmTH0uRdeW/DF5i1bIiPCPvl4 +ReypW80GnnCqJ+DLdjMjtu/Ztztq5f/+/P+fUyrq/8zYMfmlAaPX/Cu39CnH +75/hiGn8RglR5sfO9jYD+vVV02/w+DXXBXwZFgB6Od1vCsw5prEbVdRkbI8+ ++ahzPSLbGwsS1uei+oEOAPQ+OibgLuoHO+YU07iNKmtPTnPwS63r3MMQLSVZ +aReqBHytHgB6NUrJzX+Fvz7A1m/n2ZuGboNMGdPojZKtt+LmOtvZv+EfuHT9 +jqRT1xrgqQ0AAAAAAAAAAABgKvwAAAA6KCsrM/WCBABAr4XtzygAAAAAAAAA +AAAASwOH/YqVWLpYiUwVKAUMg8N+BZOli7lhJTJVoBRgATr7FbwxzRArkakC +pb0NStsUVHEE269QgCNmJ6hSgSS4hcrkAT6luDFpTdtrTgS+GZQnof6rvOpi +8umi1p79Q2X4ooOebQrRXHgy5XI91x92obdfIdtKksOnjnl54JCRE5cfut/9 +eHN2MSnTyNQgnQQU0AenT7jFyWQomQbjKjXQGQTgqylb2qtPfjrxZftAypWk +vTZt1aL9VEsWEsMXHShtU9ruJAR9mdXARS16+5W2u7tWJuY+kSsaribOthvk +Flsi5xKTPo0cJaCBOThVwi1QJm3Jur3EaEpZdEYguGrKGsXjExsTfo0b70C1 +khCijCCP5ZRLDDrDFx0oXBsaLwa9s0xznLmgOELsVxS1l7JqtLV/eiNs1Kuz +cprZx2RIIzcJKGEIrpdwS5RJV7IeGEspq84IB31NWaOoOL4hqbi5/Ft3qpVE +WX3U22nhH5QJ42T4wgWKbJCNF953CjjXQLGUqDeNx6M2xu8/9OO+qCWBMwMv +ixnisIQ+ZgctBYudPbsbVBiCKY2YJHTC256GIeH0mEwmY/AO6EtmXKUGOsMG +49aULfKHRzYcKJGqFA+pV5KWvECH8XvLqDRzNXxhD1U2pEWbXF0+v6m3bJKS +3JVvTdN4T6vFlMSOG+7d9TSL7/hkiqn5c1N2qO+aHC6/OmBIIx4J3aLztKeh +SzgTppMppGRGVWqoM6wwZk3ZISs9tOFQmWY9o1tJmn7zsZ+QXEVxA8XZ8IX9 +74CosiEv3fWmw4d5ek+qJHmBo8ZFd55urijb6/YKgvHJFFNFiK/ErD5QzO3z +Mvo08peA2Z6GLuHmKVNIyYyqlLkzZlhTVsjux01x+5tbB2Pt+78weLSrz8ob +rd1fIrkyb5T7tw/1114ehi/s+0WRDVnxFlfnsBtPdV/bdMnX7vXVncssqpWE +PqZ615qy48CfEq6XE9o04pLQDZ72NHQJZ8J0MoWUzIhK+Y4fXYxYU660V3z/ +9miKPYm8NN7dZYV+23wMX1hDZZsiyV3o6JVSrRde/mCn25ARS89rHmO1XosY +PazH+GRtv6JsKjhxulCsZIwpr/xld1K+uOMDZkJ8OzWjmvE2rltMujSilEAH +T3sauoTrYRYyhZTMaEo5jh8GcNdUAHQriXrfstXDq+eHQ3wNX9hBbZsiu7fV +w5fS45FoLtg+a7TtcPfZoZHbV4x+dk/KzX5FnBPs6Bicrd1FUsVU77mWOb7Y +t4+Wvv1d4x4wD4TuMSnSiFoCbTd42dPQJ9w8ZfIvmZGUch8/TD3BXFMsEE3Z +6z7YIfQJkTBISf7GedHXDXk86t2TIgBVTJZpxCCBjz0Ny4TrYzqZPINbplKj +1hQhsor0hKRLtTwfWiFo/uy+PedrDDevKEtwRb+SIIvJJo0YJHC3p2GdcJp3 +m0Qmr+CWqtTYNUUIKRc1yE2zmhHSJ00smlY23zwTo97ZOaw6XYrqi8jIYzKn +EYMEPvY0LBPOgNFl8gxumUpNU1MAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAACLBOzYAMCcICxzEmKyY7PQbACAKWivODg/5Hex5kDK8MmLrgg9 +MVxRlx07w+uru1JV2+11k+dmiowxG9HZsTFlwyTSAMAs0TM4I0UZ82dqjv+V +3fvaw+/nWh5H9ejGFGcH+e8rk9amh2zJF3xSH9tGOxBsx2YoG0aRBgAYQOUV +SGdw1no11F9z+p2yKnmKR8x9TrOQJqa0aFtAZG7B4YM3cUw29O6E3TCUDbzS +AAAnSLwC6QzO1Ndez/fUoeWl3/mMDc6ToIgpvbPZJ2jTTw+wHFSH3p2wGwaz +gVUaAOAEnVcgxcHdyuqjPk7eU4NWbY7bPcd9zs60co5H2lAdBi4pWP7ZkQqM +51shdSfshuFsYJcGALjg5BXI0eCMFGUu8E0sZ54ZvE3ThICvUXnlr7vj9h9J +XDqm//PD/MOiD5drHRLYZQMALBOuXoFcDM40U8cz4pbBKzhf0zRBYGmUlOR/ +8bZ3kjqbsuIo52HvHq/puoFhmw0AsEA4ewXyNThjBGlMzE5tTBD1Z6bbu3Vk +s6UgxGWS6TwPAMCo8PAK5GlwxgiOmKZotL3ywAQ7d/X6QdRnLlsQU2hSzwMA +MBp8vAJ5GpwxgiOmKRolWu4c2xC69pvjaakXS+FL9YBVwNcrkJ/BmfFjGr9R +QpT5sbO9zYB+fdX0Gzx+zXX0ZtUA0FvgY3BmipjGblRRk7E9+uSjzvWIbG8s +SFifi8f7CgB6A9wNzkwT07iNKmtPTnPwS63r3MMQLSVZaReqBHytHgB6NXwM +zkwR0+iNkq234uY629m/4R+4dP2OpFPXGuCpDQAAAAAAgEWgfJK+dEW+xNTd +AADAolE+PvxeALJzoywaPwAA6CkrK2OYPrCSAADAm66fM3g6DbFx86L7OQMA +AAALYE8CAIBwYCUBAEA4sJJYM4rKwwunbCsW/PVN63GQAaUAoAP59N7RnVu9 +3tkieCXB5CBjhoBSAOgJ0ZT3w093q36b7SV8JUHnIGPugFLAYqH0ahEaR1Gd +8f2Zx3KVOJvnSoLHQYZbcyYEn1LccM2k5So1FWRbSXL41DEvDxwycuLyQ/dp +Tk2XV11MPl3U2vOPqFxmdHuk69VCNBeeTLlcz/XXZBSeL7KSXQtmzZ4zZ877 +k4bbOE//9PuHrH9EK9BBhjKBfJoTjoGK02cbh1J2w08I9JkUqhToTtvdXSsT +c5/IFQ1XE2fbDXKLLdGfW+21aasW7adan5G4zOhA6dXSdich6MusBi6lpTOa +6aA5Z8GkaC57EkEOMvQJ5NV5YbCoOFW28ShlM/yEwZxJ/kqBnihqL2XVaIv3 +9EbYqFdn5eh63hKijCCP5XlUP1FC5zKjA4VVROPFoHeWac5QFxZHC+eVhDIa +OwcZhgRyaw4JLCpOkW1MSll1RjgMmeSpFGCipWCxs2d3p4cOlNVHvZ0W/kE5 +Oji5zHCBovRk44X3nQLONeguJcg9X9T77eNRG+P3H/pxX9SSwJmBl7vujXhN +baYEYmiOZfAOqCve8UaabDPCW6mBzrCB9zDgpRRggGzKDvVdk6P3s4GWvECH +8XvLqArM1WWGPVSllxZtcnX5/Kb+NQKp5wspyV351jSNfbb6jr8kdtxw764H +gfymNkMCcTTHMriKvuId0GabAd5KDXWGFXyHAR+lAC2E+ErM6gPFFB94Nf3m +Yz8huYribpGzywxbDxfq0stLd73p8GEexWM5lJ4vkrzAUeOiOw9oV5TtdXtF +8NSmTyD/5thlkik4Q8U7oM82BqXMncFs/cNHKUCNetuZsuPAn9TG8pIr80a5 +f/tQ/0LDw2WGNVSllxVvcXUOu/FU/9UoPV+aLvnavb668wqFZiWhTSCe5lgF +Z6x4Z+O02aaHp1LDnWEHz2HARylAhbzyl91J+eKOD00J8e3UjOoetyby0nh3 +lxX6iebjMsMaKq8WSe5CR6+UaorwKD1f5A92ug0ZsfS85glg67WI0cN6TG3W +0ZRNBSdOF4o7tvI0CUTZHDctBireAX22dRCqlE1n2MFzGLBWCjCh3kcsc3yx +bx8tffu7xj3QqaTs/lYPr56fhPF1mWEHtVeL7N5WD19qY0mkni9Ec8H2WaNt +h7vPDo3cvmL0s9t5btHEOcGOjsHZHRtwigSibo6DFhYVVzFmG6VSdp1hCb9h +wF4pIBSiKXvdBztM+ziMlORvnBd9ndpYEpfRjN7tPE9YJhBVc8KDM2abCZMq +5TMMeCsF+CGrSE9IulTL8wkdgubP7ttzvoaueVxGM4qyBFdEA55NAhE2Jyi4 +gWwbfLeplHIfBsKUAvwg5aIGuWmWbkL6pIm2aVxGM8rmm2di1Jtih1WnS5F8 +h5s5gcib4x2cMdusMIVSPsNAuFIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAABLBRzZAAAQDCZHNsIslyTz7BUA9ALQObK1VxycH/K7WHNoZfjk +RVd6HKGuqMuOneH11V2pqu32uslzM0VGm9JMveKB6YQAgLmBx2WPFGXMn6k5 +D1l272sPv59rdU/cEWcH+e8rk9amh2zJF3wOIW0ndKUZ6hWPmEYRAgBmjECX +PWZar4b6a44DVFYlT/GIua+3JkmLtgVE5hYcPngTx/Sjk2aoVzxi4hUCAGaP +IJc9Q6iv+Z7vnRWR8tLvfMYG50n0Lv7SO5t9gjb99ADLyXR0PnQGe8UjJlYh +AGAZ8HTZM4iy+qiPk/fUoFWb43bPcZ+zM61c94wfScHyz45UYDy9i+J8dcO9 +4h4TvxAAMAuQe/Y9Q1756+64/UcSl47p//ww/7Dow+VakwQVKcpc4JtYjnt6 +cZTGqlf40gUAFg5Sz75nQSX5X7ztnfRIoZIVRzkPe/d4TdetgmbKekbcMsJ+ +n4s0tr3Cki4A6AWg9OzTQtSfmW7v1mG20lIQ4jIJte0BZh86RnDEBIBeAErP +Pi3tlQcm2Lmr1w+iPnPZgphCU9keYJCGJSYA9AJQevZpIVruHNsQuvab42mp +F0tN+KV6DNKwxASAXgBSzz4NhCjzY2d7mwH9+qrpN3j8muum8qtGLg1TTADo +BSD27FPUZGyPPvmoc4KR7Y0FCetz8dhfGQaHHSEui0MAsHCQevYpa09Oc/BL +reu8KBMtJVlpF6oEfK1eGDjsCHFZHAKAJYPas49svRU319nO/g3/wKXrdySd +utZgMrNqHHaEuCwOAQAAAAAAAAAAAMBM8QMAABFlZWWmntAAAPRO2P7YAQAA +AAAAAAAAAADQgdabBofTjZW451iJTJU1KbUm0HrT4HC6weSeY25YiUyVNSm1 +KtB506CPhi+mGWIlMlXWpNRcofSUQRWHtzcNHqcbCnDE7ARVYpEEt1CZPMCn +1KKQV11MPl3U2rM2pLQia4+f7XMDxwav+2rT+vDFc6dOX7wt/aFUWAn1TFKI +5sKTKZfruf7qDa03DXqnG7KtJDl86piXBw4ZOXH5ofvdz2xnF5OyKEwN0klA +AX1w+vJZnEyGkmkQqrTX016btmrRfqrllKhLnWpjO/2s1pFRWZf+6V8H/uWj +cyIBh9pQmqS03UkI+jKrgUsl0HrToHe6abu7a2Vi7hO5ouFq4my7QW6xJXIu +MemLwlECGpiDU5XPAmXSlqzbS3gr7f0Qoowgj+V5Eoo/kQ3nA4baTDnR5fAo +ux/j0t/GP6tRWJsUdgmNF4PeWaY5vFxQHEHeNEijKWovZdVoB+LTG2GjXp2V +08w+JkNRuElACUNwvfJZoky6kvWAp1IrQFl91Ntp4R+UxRRn/334EM/Dj7tW +WUX5N24DhvicbxDWKMVIIBsvvO8UcK5BdylBbrai3sEej9oYv//Qj/uilgTO +DLz87N0C/CloY3bQUrDY2fOfj9h73TAVBZOETnhnm658jJhMJmPwDuhLxkup +NdCSF+gwfm8Z1SiX5H702mD37ukkRRkzbQe6xgs9PItqJEiLNrm6fH5Tf0lH +arZCSnJXvjVNY6itvkEviR033LvruR3f8ckUU/PnpuxQ3zU5XH5fwVAUPBK6 +ReeZbdryMWA6mUJKxkepNdD0m4/9hOQqipu71sLQEYO0B4p3oqw+5mf7kvcP +ldQfjrL/jRLVSJCX7nrT4cM8iqdoKM1WJHmBo8ZFd56Mrijb6/YKgvHJFFNF +iK/ErD5QzM0jk74o/CVgtsuhL585yhRSMj5KrQHJlXmj3L99qH9daLsd4TDI +Kar42eZWWX82ZMTQyfFFwldjqpEgK97i6hx246n+q1GarTRd8rV7fXXnBQXV +SkIfU72FTtlx4E8J150wbVFwSegGz2zTl48e08kUUjI+Sq0BeWm8u8sK/bxI +iyKdBjms1To9qu+fk5d7OAdsy2lC8dE0lUmKJHeho1dKNUV4lGYr8gc73YaM +WHpe88Cu9VrE6GE9xifraMqmghOnC8VKxpjyyl92J+WLOz6uJsS3UzOqGW8K +u8WkKwpKCXTwzDZ9+XQwC5lCSsZaqbUhu7/Vw6vnZ0vy2txTMTOGPvfCawu+ +2LxlS2RE2Ccfr4g9dQvNccDUJimye1s9fKkNMJGarRDNBdtnjbYd7j47NHL7 +itHPbpC5RRPnBDs6Bmdrt8xUMdU7uGWOL/bto6Vvf9e4B8yfLnWPSVEU1BJo +u8Er2wzlM0uZ/EvGXqnVQTRlr/tgh2mfXpGS/I3zoq9TG2DiMlvRu0E2o5gs +i4JBAp9sM5aPCdPJ5Bmct1IrQVaRnpB0qZb9Y0rUzZ/dt+d8DV3zuMxWFGUJ +ruhXEmQx2RQFgwTu2TZQPoPvNolMXsGFKbUSSLmoQW6alZaQPmmibRqX2Yqy ++eaZGPUe2WHV6VJuD1aMGJO5KBgk8Mk2Y/lYYXSZPIMLVwoAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAGDWgO0aAACCwWS7RpjlkmSevQKAXgA6 +27X2ioPzQ34Xa466DJ+86EqPo8wVddmxM7y+uitVtd1eN3lupshoU5qpVzww +nRAAMDfwePORooz5MzXnEsvufe3h93Ot7rE94uwg/31l0tr0kC35nI9wZN0J +XWmGesUjplGEAIAZg96brxutV0P9NacbKquSp3jE3Ndbk6RF2wIicwsOH7yJ +Y/rRSTPUKx4x8QoBALMHvTdfN9TXfM/3zopIeel3PmOD8yR6F3/pnc0+QZt+ +eoDlPDs6MzuDveIRE6sQALAM0Dr9daGsPurj5D01aNXmuN1z3OfsTCvXPWtH +UrD8syMVGI/oojik3XCvuMfELwQAzALkTn/PkFf+ujtu/5HEpWP6Pz/MPyz6 +cLnW80FFijIX+CaW455eHKWx6hW+dAGAhYPU6e9ZUEn+F297Jz1SqGTFUc7D +3j1e03WroJmynhG3jLDf5yKNba+wpAsAegEonf60EPVnptu7dXjHtBSEuExC +7W2A2VaPERwxAaAXgNLpT0t75YEJdu7q9YOoz1y2IKbQVN4GGKRhiQkAvQCU +Tn9aiJY7xzaErv3meFrqxVITfqkegzQsMQGgF4DU6U8DIcr82NneZkC/vmr6 +DR6/5rqpTKmRS8MUEwB6AYid/hQ1GdujTz7qnGBke2NBwvpcPM5PhsFhYojL +GBEALBykTn/K2pPTHPxS6zovykRLSVbahSoBX6sXBg4TQ1zGiABgyaB2+iNb +b8XNdbazf8M/cOn6HUmnrjWYzJEah4khLmNEAAAAAAAAAAAAADAL/AAAMCJl +ZWWmnvQAAAAAAAAAAAAAAAAAgAa0bjU4vG+sxE/HSmSqrEmpNYHWrQaH9w0m +Px1zw0pkqqxJqVWBzq0GfTR8Mc0QK5Gpsial5gqlywyqOLzdavB431CAI2Yn +qBKLJDg+mbixHqUsIdtKksOnjnl54JCRE5cfuk9zlri86mLy6aLWnn8kpRVZ +e/xsnxs4NnjdV5vWhy+eO3X64m3pD6XCRqqebQrRXHgy5XI919/BoXWrQe99 +w5B5djEpi8LUIJ0EFNAHpy8fDpnsxrMQ8Cm1aNru7lqZmPtErmi4mjjbbpBb +bIn+b8Xba9NWLdpPtZwSdalTbWynn9V6NCrr0j/968C/fHROJOCYG0rblLY7 +CUFfZjVwqQRatxr03je0mWcXk74oHCWggTk4VfnwyGQznoWBS6mFo6i9lFWj +zfXTG2GjXp2Vo+sES4gygjyW50ko3k02nA8YajPlRJfno+x+jEt/G/+sRmHd +ojBQaLwY9M4yzXHmguIIcqtBGo0u8+xiMhSFmwSUMATXKx8mmSzGMwrQK+1V +tBQsdvb85yMdtxNl9VFvp4V/UBZTnP334UM8Dz/uWmUV5d+4DRjic75BWFco +KkU2XnjfKeBcg+5Sgtx+Rb09Ph61MX7/oR/3RS0JnBl4+dm7BThW0MbsgDrz +DDAVBZOETnhnm658jPCW2QHnrPbAuEp7E2RTdqjvmhxdkwNVS16gw/i9ZVT1 +kOR+9Npg9+61IkUZM20HusYLPU6LqlLSok2uLp/f1F/SkdqvkJLclW9N01hs +q2/QS2LHDffuem7HdxoyxVTRZ54BhqLgkdAtOs9s05aPAd4yVbyyqtuAEZX2 +HgjxlZjVB4opPp9q+s3HfkJyFcXNXWth6IhB2iPGO1FWH/Ozfcn7h0rqD0fZ +WrRQV0peuutNhw/zKJ6iobRfkeQFjhoX3XlWuqJsr9srCKYhU0yGzDNAXxT+ +EjAb6NCXD4NM5qyaodJegnqXmLLjwJ/UTvKSK/NGuX/7UP+60HY7wmGQU1Tx +sy2fsv5syIihk+OLhK/GVJWSFW9xdQ678VT/1SjtV5ou+dq9vrrzgoJqJaGP +yZh5BmiLgktCN3hmm7589PCUyTeruhhRaa9AXvnL7qR8cceHpoT4dmpGdY9b +E3lpvLvLCv28SIsinQY5rNV6P6rvKpOXezgHbMtpQvHRNJVtiiR3oaNXSjVF +eJT2K/IHO92GjFh6XvPArvVaxOhhPaYh62jKpoITpwvFSsaYBjLPEJOuKCgl +0MEz2/Tl00GoTI5ZZQC30l6Feh+xzPHFvn209O3vGvdAJ/Gy+1s9vHp+cCWv +zT0VM2Pocy+8tuCLzVu2REaEffLxithTt9AcEExtmyK7t9XDl9oSE6n9CtFc +sH3WaNvh7rNDI7evGP3s7ptbNHFOsKNjcLZ2v0wVk0XmGWJSFAW1BNpu8Mo2 +Q/lQyuSeVRMqtTqIpux1H+ww7dMrUpK/cV70dWpLTFz2K3p332YUk2VRMEjg +k23G8jFhOpkqIyu1EmQV6QlJl2p5PlBD0PzZfXvO19A1j8t+RVGW4Ip+JUEW +k01RMEjgnm0D5TP4bpPIVBlfqZVAykUNctOstIT0SRNt07jsV5TNN8/EqPew +DqtOl6L6yjXymMxFwSCBT7YZy8cKo8tUmUopAAAAAAAAQM3/AcSCbZM= + "], {{0, 193}, { + 366, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], Selectable->False], @@ -539,7 +539,7 @@ UP3kGnlM+qJgkMAl27TlY4TRZapMpRQAAAAAAAAg5/8A3FptUQ== ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[2]=", - CellID->618109214] + CellID->1127345131] }, Open ]] }, Open ]] }, Open ]], @@ -549,7 +549,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCMultiLoopTID", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -561,7 +561,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 50.903800}", + "built" -> "{2020, 6, 20, 19, 6, 2.449668}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -584,8 +584,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -595,19 +594,19 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5651, 172, 386, 15, 31, "PrimaryExamplesSection", + Cell[5651, 172, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->34851636]}, + CellID->1923409498]}, "RasterizedOutput"->{ - Cell[10144, 346, 11384, 195, 214, "Output", + Cell[10145, 346, 11389, 195, 214, "Output", CellTags->"RasterizedOutput", - CellID->618109214]} + CellID->1127345131]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 23685, 596}, - {"RasterizedOutput", 23827, 600} + {"PrimaryExamplesSection", 23635, 595}, + {"RasterizedOutput", 23779, 599} } *) (*NotebookFileOutline @@ -621,7 +620,7 @@ Cell[3203, 91, 704, 18, 119, "Usage", Cell[CellGroupData[{ Cell[3932, 113, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->451424003], + CellID->497550741], Cell[4673, 139, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4729, 143, 97, 2, 70, "Input"], @@ -630,26 +629,26 @@ Cell[4829, 147, 761, 18, 75, "Output"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5651, 172, 386, 15, 31, "PrimaryExamplesSection", +Cell[5651, 172, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->34851636], + CellID->1923409498], Cell[CellGroupData[{ -Cell[6062, 191, 196, 6, 26, "ExampleSection", - CellID->1627843658], +Cell[6064, 191, 195, 6, 26, "ExampleSection", + CellID->655084334], Cell[CellGroupData[{ -Cell[6283, 201, 508, 16, 27, "Input", +Cell[6284, 201, 508, 16, 27, "Input", CellID->1095109255], -Cell[6794, 219, 3146, 115, 63, "Output"] +Cell[6795, 219, 3146, 115, 63, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9977, 339, 164, 5, 27, "Input"], -Cell[10144, 346, 11384, 195, 214, "Output", +Cell[9978, 339, 164, 5, 27, "Input"], +Cell[10145, 346, 11389, 195, 214, "Output", CellTags->"RasterizedOutput", - CellID->618109214] + CellID->1127345131] }, Open ]] }, Open ]] }, Open ]], -Cell[21567, 546, 23, 0, 41, "FooterCell"] +Cell[21573, 546, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCNIntegrate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCNIntegrate.nb index 66e46b53e..2bde42bc2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCNIntegrate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCNIntegrate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7422, 215] +NotebookDataLength[ 7421, 215] NotebookOptionsPosition[ 5109, 155] -NotebookOutlinePosition[ 7215, 207] -CellTagsIndexPosition[ 7172, 204] +NotebookOutlinePosition[ 7214, 207] +CellTagsIndexPosition[ 7171, 204] WindowTitle->FCNIntegrate WindowFrame->Normal*) @@ -79,7 +79,7 @@ FCNIntegrate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$117538], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$118110], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCNIntegrate", ".html"]], None}]}]}, @@ -168,7 +168,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 53.310611}", + "built" -> "{2020, 6, 20, 19, 6, 4.468094}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPartialD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPartialD.nb index d99cb20a9..4a09cf6a8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPartialD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPartialD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12890, 437] +NotebookDataLength[ 12889, 437] NotebookOptionsPosition[ 9117, 323] -NotebookOutlinePosition[ 11850, 398] -CellTagsIndexPosition[ 11738, 392] +NotebookOutlinePosition[ 11849, 398] +CellTagsIndexPosition[ 11737, 392] WindowTitle->FCPartialD WindowFrame->Normal*) @@ -85,7 +85,7 @@ FCPartialD.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$117982], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$118554], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCPartialD", ".html"]], None}]}]}, @@ -174,7 +174,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1502281876], + CellID->1567065955], Cell[CellGroupData[{ @@ -184,7 +184,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->115965169], + CellID->833419526], Cell[CellGroupData[{ @@ -323,8 +323,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCPartialD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -336,7 +336,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 54.192687}", + "built" -> "{2020, 6, 20, 19, 6, 5.276878}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -370,7 +370,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5429, 161, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1502281876]}, + CellID->1567065955]}, "PartialD"->{ Cell[6062, 190, 250, 8, 27, "Input", CellTags->"PartialD", @@ -391,8 +391,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11116, 369}, - {"PartialD", 11252, 373} + {"PrimaryExamplesSection", 11115, 369}, + {"PartialD", 11251, 373} } *) (*NotebookFileOutline @@ -405,10 +405,10 @@ Cell[4216, 116, 1188, 41, 108, "Usage", Cell[CellGroupData[{ Cell[5429, 161, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1502281876], + CellID->1567065955], Cell[CellGroupData[{ Cell[5842, 180, 195, 6, 26, "ExampleSection", - CellID->115965169], + CellID->833419526], Cell[CellGroupData[{ Cell[6062, 190, 250, 8, 27, "Input", CellTags->"PartialD", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPatternFreeQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPatternFreeQ.nb index 067d77389..28bc0bb38 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPatternFreeQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPatternFreeQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8698, 282] -NotebookOptionsPosition[ 5646, 193] -NotebookOutlinePosition[ 7933, 252] -CellTagsIndexPosition[ 7849, 247] +NotebookDataLength[ 8646, 281] +NotebookOptionsPosition[ 5648, 193] +NotebookOutlinePosition[ 7879, 251] +CellTagsIndexPosition[ 7795, 246] WindowTitle->FCPatternFreeQ WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCPatternFreeQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$118419], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$118991], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCPatternFreeQ", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->70537275], + CellID->1205296854], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2036576944], + CellID->1580844841], Cell[CellGroupData[{ @@ -206,7 +206,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 55.418326}", + "built" -> "{2020, 6, 20, 19, 6, 6.258959}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -228,8 +228,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -239,14 +238,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3814, 108, 386, 15, 31, "PrimaryExamplesSection", + Cell[3814, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->70537275]} + CellID->1205296854]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7707, 240} + {"PrimaryExamplesSection", 7651, 239} } *) (*NotebookFileOutline @@ -257,33 +256,33 @@ Cell[2887, 76, 291, 11, 45, "ObjectNameGrid"], Cell[3181, 89, 608, 15, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3814, 108, 386, 15, 31, "PrimaryExamplesSection", +Cell[3814, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->70537275], + CellID->1205296854], Cell[CellGroupData[{ -Cell[4225, 127, 196, 6, 26, "ExampleSection", - CellID->2036576944], +Cell[4227, 127, 196, 6, 26, "ExampleSection", + CellID->1580844841], Cell[CellGroupData[{ -Cell[4446, 137, 133, 4, 27, "Input", +Cell[4448, 137, 133, 4, 27, "Input", CellID->537255250], -Cell[4582, 143, 190, 6, 35, "Output", +Cell[4584, 143, 190, 6, 35, "Output", CellID->1097295116] }, Open ]], Cell[CellGroupData[{ -Cell[4809, 154, 135, 4, 29, "Input", +Cell[4811, 154, 135, 4, 29, "Input", CellID->1128750861], -Cell[4947, 160, 191, 6, 35, "Output", +Cell[4949, 160, 191, 6, 35, "Output", CellID->1194026401] }, Open ]], Cell[CellGroupData[{ -Cell[5175, 171, 211, 7, 27, "Input", +Cell[5177, 171, 211, 7, 27, "Input", CellID->362852429], -Cell[5389, 180, 191, 6, 35, "Output", +Cell[5391, 180, 191, 6, 35, "Output", CellID->1506757428] }, Open ]] }, Open ]] }, Open ]], -Cell[5619, 191, 23, 0, 41, "FooterCell"] +Cell[5621, 191, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPauliIsolate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPauliIsolate.nb index a4f501e6d..674d80121 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPauliIsolate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPauliIsolate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11337, 364] -NotebookOptionsPosition[ 8376, 275] -NotebookOutlinePosition[ 10490, 332] -CellTagsIndexPosition[ 10405, 327] +NotebookDataLength[ 11274, 363] +NotebookOptionsPosition[ 8375, 275] +NotebookOutlinePosition[ 10428, 331] +CellTagsIndexPosition[ 10343, 326] WindowTitle->FCPauliIsolate WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCPauliIsolate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$118848], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$119420], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCPauliIsolate", ".html"]], None}]}]}, @@ -129,7 +129,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1382987806], + CellID->2128213397], Cell["", "SectionHeaderSpacer"], @@ -193,7 +193,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->888861473], + CellID->511036289], Cell[CellGroupData[{ @@ -203,7 +203,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1011980600], + CellID->823763225], Cell[CellGroupData[{ @@ -275,8 +275,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"FCPauliIsolate", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -288,7 +288,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 56.632711}", + "built" -> "{2020, 6, 20, 19, 6, 7.166076}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -308,8 +308,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -321,12 +320,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5930, 180, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->888861473]} + CellID->511036289]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10262, 320} + {"PrimaryExamplesSection", 10200, 319} } *) (*NotebookFileOutline @@ -340,7 +339,7 @@ Cell[3203, 91, 407, 12, 85, "Usage", Cell[CellGroupData[{ Cell[3635, 107, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1382987806], + CellID->2128213397], Cell[4377, 133, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4433, 137, 117, 3, 70, "Input", @@ -353,19 +352,19 @@ Cell[4553, 142, 1316, 31, 113, "Output", Cell[CellGroupData[{ Cell[5930, 180, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->888861473], + CellID->511036289], Cell[CellGroupData[{ -Cell[6342, 199, 196, 6, 26, "ExampleSection", - CellID->1011980600], +Cell[6342, 199, 195, 6, 26, "ExampleSection", + CellID->823763225], Cell[CellGroupData[{ -Cell[6563, 209, 613, 18, 62, "Input", +Cell[6562, 209, 613, 18, 62, "Input", CellID->181454105], -Cell[7179, 229, 1131, 39, 43, "Output", +Cell[7178, 229, 1131, 39, 43, "Output", CellID->500707432] }, Open ]] }, Open ]] }, Open ]], -Cell[8349, 273, 23, 0, 41, "FooterCell"] +Cell[8348, 273, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPermuteMomentaRules.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPermuteMomentaRules.nb index f78281c52..a5979a889 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPermuteMomentaRules.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPermuteMomentaRules.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11148, 364] -NotebookOptionsPosition[ 7843, 268] -NotebookOutlinePosition[ 10230, 328] -CellTagsIndexPosition[ 10145, 323] +NotebookDataLength[ 11091, 363] +NotebookOptionsPosition[ 7844, 268] +NotebookOutlinePosition[ 10172, 327] +CellTagsIndexPosition[ 10088, 322] WindowTitle->FCPermuteMomentaRules WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCPermuteMomentaRules.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$119276], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$119848], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCPermuteMomentaRules", ".html"]], None}]}]}, @@ -123,7 +123,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->468718502], + CellID->694158644], Cell[CellGroupData[{ @@ -133,7 +133,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->158181839], + CellID->1962607751], Cell[CellGroupData[{ @@ -269,7 +269,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCPermuteMomentaRules", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -281,7 +281,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 57.865925}", + "built" -> "{2020, 6, 20, 19, 6, 8.081499}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -304,8 +304,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -317,12 +316,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3960, 110, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->468718502]} + CellID->694158644]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10002, 316} + {"PrimaryExamplesSection", 9945, 315} } *) (*NotebookFileOutline @@ -335,37 +334,37 @@ Cell[3223, 89, 712, 17, 119, "Usage", Cell[CellGroupData[{ Cell[3960, 110, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->468718502], + CellID->694158644], Cell[CellGroupData[{ -Cell[4372, 129, 195, 6, 26, "ExampleSection", - CellID->158181839], +Cell[4372, 129, 196, 6, 26, "ExampleSection", + CellID->1962607751], Cell[CellGroupData[{ -Cell[4592, 139, 166, 5, 27, "Input", +Cell[4593, 139, 166, 5, 27, "Input", CellID->687354172], -Cell[4761, 146, 378, 14, 37, "Output", +Cell[4762, 146, 378, 14, 37, "Output", CellID->393139574] }, Open ]], Cell[CellGroupData[{ -Cell[5176, 165, 146, 5, 27, "Input", +Cell[5177, 165, 146, 5, 27, "Input", CellID->20836829], -Cell[5325, 172, 351, 12, 37, "Output", +Cell[5326, 172, 351, 12, 37, "Output", CellID->1821074397] }, Open ]], Cell[CellGroupData[{ -Cell[5713, 189, 177, 5, 27, "Input", +Cell[5714, 189, 177, 5, 27, "Input", CellID->266318701], -Cell[5893, 196, 993, 32, 56, "Output", +Cell[5894, 196, 993, 32, 56, "Output", CellID->1512346392] }, Open ]], Cell[CellGroupData[{ -Cell[6923, 233, 159, 5, 27, "Input", +Cell[6924, 233, 159, 5, 27, "Input", CellID->1579987801], -Cell[7085, 240, 692, 21, 56, "Output", +Cell[7086, 240, 692, 21, 56, "Output", CellID->1585727552] }, Open ]] }, Open ]] }, Open ]], -Cell[7816, 266, 23, 0, 41, "FooterCell"] +Cell[7817, 266, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPrepareFAAmp.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPrepareFAAmp.nb index 67ce7c549..69a0fd526 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPrepareFAAmp.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCPrepareFAAmp.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13517, 468] -NotebookOptionsPosition[ 9923, 355] -NotebookOutlinePosition[ 12059, 412] -CellTagsIndexPosition[ 11974, 407] +NotebookDataLength[ 13464, 467] +NotebookOptionsPosition[ 9926, 355] +NotebookOutlinePosition[ 12003, 411] +CellTagsIndexPosition[ 11918, 406] WindowTitle->FCPrepareFAAmp WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCPrepareFAAmp.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$119714], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$120286], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCPrepareFAAmp", ".html"]], None}]}]}, @@ -129,7 +129,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->84626899], + CellID->1051490980], Cell["", "SectionHeaderSpacer"], @@ -173,7 +173,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->46585337], + CellID->1817862129], Cell[CellGroupData[{ @@ -183,7 +183,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1163075600], + CellID->829185205], Cell[BoxData[ RowBox[{"FCClearScalarProducts", "[", "]"}]], "Input", @@ -356,7 +356,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"FCPrepareFAAmp", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -368,7 +368,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 56, 58.986259}", + "built" -> "{2020, 6, 20, 19, 6, 9.071878}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -388,8 +388,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -399,14 +398,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4967, 160, 386, 15, 31, "PrimaryExamplesSection", + Cell[4969, 160, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->46585337]} + CellID->1817862129]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11832, 400} + {"PrimaryExamplesSection", 11774, 399} } *) (*NotebookFileOutline @@ -418,58 +417,58 @@ Cell[CellGroupData[{ Cell[3203, 91, 431, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3659, 107, 737, 24, 31, "NotesSection", +Cell[3659, 107, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->84626899], -Cell[4399, 133, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1051490980], +Cell[4401, 133, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4455, 137, 118, 3, 70, "Input", +Cell[4457, 137, 118, 3, 70, "Input", CellID->1044329933], -Cell[4576, 142, 330, 11, 37, "Output", +Cell[4578, 142, 330, 11, 37, "Output", CellID->2086284360] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4967, 160, 386, 15, 31, "PrimaryExamplesSection", +Cell[4969, 160, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->46585337], + CellID->1817862129], Cell[CellGroupData[{ -Cell[5378, 179, 196, 6, 26, "ExampleSection", - CellID->1163075600], -Cell[5577, 187, 113, 3, 27, "Input", +Cell[5382, 179, 195, 6, 26, "ExampleSection", + CellID->829185205], +Cell[5580, 187, 113, 3, 27, "Input", CellID->1251426035], Cell[CellGroupData[{ -Cell[5715, 194, 561, 15, 62, "Input", +Cell[5718, 194, 561, 15, 62, "Input", CellID->1953497285], -Cell[6279, 211, 620, 20, 89, "Output", +Cell[6282, 211, 620, 20, 89, "Output", CellID->395273206] }, Open ]], Cell[CellGroupData[{ -Cell[6936, 236, 111, 3, 27, "Input", +Cell[6939, 236, 111, 3, 27, "Input", CellID->1929840896], -Cell[7050, 241, 1366, 45, 64, "Output", +Cell[7053, 241, 1366, 45, 64, "Output", CellID->863259577] }, Open ]], Cell[CellGroupData[{ -Cell[8453, 291, 125, 3, 9, "ExampleDelimiter", +Cell[8456, 291, 125, 3, 9, "ExampleDelimiter", CellID->170735799], Cell[CellGroupData[{ -Cell[8603, 298, 294, 8, 45, "Input", +Cell[8606, 298, 294, 8, 45, "Input", CellID->688763902], -Cell[8900, 308, 406, 13, 37, "Output", +Cell[8903, 308, 406, 13, 37, "Output", CellID->1445715070] }, Open ]], Cell[CellGroupData[{ -Cell[9343, 326, 109, 3, 27, "Input", +Cell[9346, 326, 109, 3, 27, "Input", CellID->34271691], -Cell[9455, 331, 390, 16, 38, "Output", +Cell[9458, 331, 390, 16, 38, "Output", CellID->892754997] }, Open ]] }, Open ]] }, Open ]] }, Open ]], -Cell[9896, 353, 23, 0, 41, "FooterCell"] +Cell[9899, 353, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCProductSplit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCProductSplit.nb index 29e04113c..40ceaf554 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCProductSplit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCProductSplit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11113, 376] -NotebookOptionsPosition[ 7619, 272] -NotebookOutlinePosition[ 9966, 332] -CellTagsIndexPosition[ 9882, 327] +NotebookDataLength[ 11060, 375] +NotebookOptionsPosition[ 7621, 272] +NotebookOutlinePosition[ 9911, 331] +CellTagsIndexPosition[ 9827, 326] WindowTitle->FCProductSplit WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCProductSplit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$120146], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$120718], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCProductSplit", ".html"]], None}]}]}, @@ -135,7 +135,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->501285284], + CellID->1074682887], Cell["", "SectionHeaderSpacer"], @@ -150,7 +150,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"Abort", "\[Rule]", "False"}], "}"}], TraditionalForm]], "Output", - ImageSize->{99, 14}, + ImageSize->{99, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[39]=", @@ -176,7 +176,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1103055477], + CellID->1274128140], Cell[CellGroupData[{ @@ -186,7 +186,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->441132599], + CellID->1477869902], Cell[CellGroupData[{ @@ -285,7 +285,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 0.184309}", + "built" -> "{2020, 6, 20, 19, 6, 9.968463}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -308,8 +308,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -319,14 +318,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5190, 163, 388, 15, 31, "PrimaryExamplesSection", + Cell[5191, 163, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1103055477]} + CellID->1274128140]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9738, 320} + {"PrimaryExamplesSection", 9683, 319} } *) (*NotebookFileOutline @@ -338,46 +337,46 @@ Cell[CellGroupData[{ Cell[3203, 91, 734, 18, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3962, 113, 738, 24, 31, "NotesSection", +Cell[3962, 113, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->501285284], -Cell[4703, 139, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1074682887], +Cell[4704, 139, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4759, 143, 118, 3, 70, "Input", +Cell[4760, 143, 118, 3, 70, "Input", CellID->1951530481], -Cell[4880, 148, 249, 8, 35, "Output", +Cell[4881, 148, 249, 8, 37, "Output", CellID->1700704682] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5190, 163, 388, 15, 31, "PrimaryExamplesSection", +Cell[5191, 163, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1103055477], + CellID->1274128140], Cell[CellGroupData[{ -Cell[5603, 182, 195, 6, 26, "ExampleSection", - CellID->441132599], +Cell[5604, 182, 196, 6, 26, "ExampleSection", + CellID->1477869902], Cell[CellGroupData[{ -Cell[5823, 192, 182, 6, 27, "Input", +Cell[5825, 192, 182, 6, 27, "Input", CellID->1564402182], -Cell[6008, 200, 259, 9, 42, "Output", +Cell[6010, 200, 259, 9, 42, "Output", CellID->904376361] }, Open ]], Cell[CellGroupData[{ -Cell[6304, 214, 207, 7, 27, "Input", +Cell[6306, 214, 207, 7, 27, "Input", CellID->1806431082], -Cell[6514, 223, 259, 9, 42, "Output", +Cell[6516, 223, 259, 9, 42, "Output", CellID->576362631] }, Open ]], Cell[CellGroupData[{ -Cell[6810, 237, 345, 12, 27, "Input", +Cell[6812, 237, 345, 12, 27, "Input", CellID->719144238], -Cell[7158, 251, 395, 14, 42, "Output", +Cell[7160, 251, 395, 14, 42, "Output", CellID->1449583202] }, Open ]] }, Open ]] }, Open ]], -Cell[7592, 270, 23, 0, 41, "FooterCell"] +Cell[7594, 270, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCProgressBar.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCProgressBar.nb index 1fb8bd419..042e107ee 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCProgressBar.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCProgressBar.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7948, 250] +NotebookDataLength[ 7949, 250] NotebookOptionsPosition[ 5247, 172] -NotebookOutlinePosition[ 7445, 230] -CellTagsIndexPosition[ 7361, 225] +NotebookOutlinePosition[ 7446, 230] +CellTagsIndexPosition[ 7362, 225] WindowTitle->FCProgressBar WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCProgressBar.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$120580], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$121152], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCProgressBar", ".html"]], None}]}]}, @@ -185,7 +185,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 1.396183}", + "built" -> "{2020, 6, 20, 19, 6, 10.962980}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -224,7 +224,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7226, 218} + {"PrimaryExamplesSection", 7227, 218} } *) (*NotebookFileOutline diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRemoveTypesettingRules.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRemoveTypesettingRules.nb new file mode 100644 index 000000000..955c8ee84 --- /dev/null +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRemoveTypesettingRules.nb @@ -0,0 +1,335 @@ +(* Content-type: application/vnd.wolfram.mathematica *) + +(*** Wolfram Notebook File ***) +(* http://www.wolfram.com/nb *) + +(* CreatedBy='Mathematica 10.4' *) + +(*CacheID: 234*) +(* Internal cache information: +NotebookFileLineBreakTest +NotebookFileLineBreakTest +NotebookDataPosition[ 158, 7] +NotebookDataLength[ 9896, 325] +NotebookOptionsPosition[ 6790, 233] +NotebookOutlinePosition[ 8950, 290] +CellTagsIndexPosition[ 8866, 285] +WindowTitle->FCRemoveTypesettingRules +WindowFrame->Normal*) + +(* Beginning of Notebook Content *) +Notebook[{ +Cell[BoxData[GridBox[{ + {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{ + Cell[BoxData[ + ActionMenuBox[ + FrameBox[ + InterpretationBox[Cell[TextData[{ + "See Also", + StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow", + StripOnInput->False] + }]], + TextCell[ + Row[{"See Also", + Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]], + StripOnInput->False], {"\<\"FCAttachTypesettingRules\"\>":> + Documentation`HelpLookup[ + "paclet:FeynCalc/ref/FCAttachTypesettingRules"]}, + Appearance->None, + MenuAppearance->Automatic, + MenuStyle->"SeeAlso"]], + LineSpacing->{1.4, 0}], + "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\ +\[ThickSpace]", + Cell[BoxData[ + ActionMenuBox[ + FrameBox[ + InterpretationBox[Cell[TextData[{ + "URL", + StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow", + StripOnInput->False] + }]], + TextCell[ + Row[{"URL", + Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]], + StripOnInput-> + False], {"\<\"FeynCalc/ref/FCRemoveTypesettingRules\"\>":> + None, "\<\"Copy Wolfram Documentation Center URL\"\>":> + Module[{DocumentationSearch`Private`nb$}, + DocumentationSearch`Private`nb$ = NotebookPut[ + Notebook[{ + Cell["FeynCalc/ref/FCRemoveTypesettingRules"]}, Visible -> + False]]; SelectionMove[ + DocumentationSearch`Private`nb$, All, Notebook]; + FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; + NotebookClose[DocumentationSearch`Private`nb$]; Null], + Delimiter, "\<\"Copy web URL\"\>":> + Module[{DocumentationSearch`Private`nb$}, + DocumentationSearch`Private`nb$ = NotebookPut[ + Notebook[{ + Cell[ + BoxData[ + MakeBoxes[ + Hyperlink[ + "http://reference.wolfram.com/language/FeynCalc/ref/\ +FCRemoveTypesettingRules.html"], StandardForm]], "Input", TextClipboardType -> + "PlainText"]}, Visible -> False]]; + SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; + FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; + NotebookClose[DocumentationSearch`Private`nb$]; + Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{ + NotebookLocate[{ + URL[ + StringJoin[ + If[ + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$121590], + "http://reference.wolfram.com/system-modeler/", + "http://reference.wolfram.com/language/"], + "FeynCalc/ref/FCRemoveTypesettingRules", ".html"]], None}]}]}, + Appearance->None, + MenuAppearance->Automatic, + MenuStyle->"URLMenu"]], + LineSpacing->{1.4, 0}] + }], "AnchorBar"]} + }]], "AnchorBarGrid", + GridBoxOptions->{GridBoxItemSize->{"Columns" -> { + Scaled[0.65], { + Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, + "RowsIndexed" -> {}}}, + CellID->1], + +Cell[TextData[{ + Cell["FCRemoveTypesettingRules", "ObjectName"], + Cell[BoxData[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, + BaselinePosition->Baseline, + ImageSize->{8, 0}], + CacheGraphics->False], + Spacer[8]]]], + Cell[BoxData[""], "ObjectNameTranslation"] +}], "ObjectNameGrid"], + +Cell[BoxData[GridBox[{ + {"", Cell[TextData[{ + Cell[BoxData[ + RowBox[{"FCRemoveTypesettingRules", "[", "expr", "]"}]], + "InlineFormula"], + " \[LineSeparator]removes all typesetting rules attached to expr. \ +Effectively it sets the FormatValues of expr to an empty list." + }]]} + }]], "Usage", + GridBoxOptions->{ + GridBoxBackground->{ + "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, + "RowsIndexed" -> {}}}, + CellID->982511436], + +Cell[CellGroupData[{ + +Cell[TextData[{ + Cell[BoxData[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, + BaselinePosition->Baseline, + ImageSize->{6, 0}], + CacheGraphics->False], + Spacer[6]]]], + "Examples", + "\[NonBreakingSpace]\[NonBreakingSpace]", + Cell["(1)", "ExampleCount"] +}], "PrimaryExamplesSection", + WholeCellGroupOpener->True, + CellTags->"PrimaryExamplesSection", + CellID->2142052055], + +Cell[CellGroupData[{ + +Cell[TextData[{ + "Basic Examples", + "\[NonBreakingSpace]\[NonBreakingSpace]", + Cell["(1)", "ExampleCount"] +}], "ExampleSection", "ExampleSection", + WholeCellGroupOpener->True, + CellID->1317340036], + +Cell[BoxData[ + RowBox[{"FCAttachTypesettingRule", "[", + RowBox[{"ST1", ",", + RowBox[{"{", + RowBox[{"SubscriptBox", ",", "\"\\"", ",", "\"\\""}], "}"}]}], + "]"}]], "Input", + CellLabel->"In[1]:=", + CellID->1279586700], + +Cell[CellGroupData[{ + +Cell[BoxData["ST1"], "Input", + CellLabel->"In[2]:=", + CellID->2058585413], + +Cell[BoxData[ + FormBox[ + SubscriptBox["S", + RowBox[{"T", ",", "1"}]], TraditionalForm]], "Output", + ImageSize->{36, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[2]=", + CellID->703735332] +}, Open ]], + +Cell[BoxData[ + RowBox[{"FCRemoveTypesettingRules", "[", "ST1", "]"}]], "Input", + CellLabel->"In[3]:=", + CellID->1056152490], + +Cell[CellGroupData[{ + +Cell[BoxData["ST1"], "Input", + CellLabel->"In[4]:=", + CellID->1836481849], + +Cell[BoxData[ + FormBox["ST1", TraditionalForm]], "Output", + ImageSize->{27, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[4]=", + CellID->2077836747] +}, Open ]] +}, Open ]], + +Cell["", "SectionFooterSpacer"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[TextData[{ + Cell[BoxData[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, + BaselinePosition->Baseline, + ImageSize->{6, 0}], + CacheGraphics->False], + Spacer[6]]]], + "See Also" +}], "SeeAlsoSection", + WholeCellGroupOpener->True, + CellID->1255426704], + +Cell[TextData[StyleBox[ButtonBox["FCAttachTypesettingRules", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/FCAttachTypesettingRules", + ButtonNote->"FCAttachTypesettingRules"], + FontFamily->"Verdana"]], "SeeAlso", + CellID->830480392] +}, Open ]], + +Cell[" ", "FooterCell"] +}, +Saveable->False, +ScreenStyleEnvironment->"Working", +WindowSize->{725, 750}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowTitle->"FCRemoveTypesettingRules", +TaggingRules->{ + "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> + GridBox[{{ + RowBox[{ + ButtonBox[ + "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", + BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> + Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> + None, "RootCaptions" -> "", + "Metadata" -> { + "built" -> "{2020, 6, 20, 19, 6, 11.665055}", + "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", + "keywords" -> {}, "specialkeywords" -> {}, + "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> + "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> + "None", "summary" -> + "FCRemoveTypesettingRules[expr] removes all typesetting rules attached to \ +expr. Effectively it sets the FormatValues of expr to an empty list.", + "synonyms" -> {}, "tabletags" -> {}, "title" -> + "FCRemoveTypesettingRules", "titlemodifier" -> "", "windowtitle" -> + "FCRemoveTypesettingRules", "type" -> "Symbol", "uri" -> + "FeynCalc/ref/FCRemoveTypesettingRules"}, "SearchTextTranslated" -> ""}, +CellContext->"Global`", +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", +StyleDefinitions->Notebook[{ + Cell[ + StyleData[ + StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], + Cell[ + StyleData["Input"], CellContext -> "Global`"], + Cell[ + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, + FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", + StyleDefinitions -> "Default.nb"] +] +(* End of Notebook Content *) + +(* Internal cache information *) +(*CellTagsOutline +CellTagsIndex->{ + "PrimaryExamplesSection"->{ + Cell[4531, 130, 388, 15, 31, "PrimaryExamplesSection", + CellTags->"PrimaryExamplesSection", + CellID->2142052055]} + } +*) +(*CellTagsIndex +CellTagsIndex->{ + {"PrimaryExamplesSection", 8722, 278} + } +*) +(*NotebookFileOutline +Notebook[{ +Cell[596, 21, 3131, 77, 53, "AnchorBarGrid", + CellID->1], +Cell[3730, 100, 301, 11, 45, "ObjectNameGrid"], +Cell[4034, 113, 472, 13, 85, "Usage", + CellID->982511436], +Cell[CellGroupData[{ +Cell[4531, 130, 388, 15, 31, "PrimaryExamplesSection", + CellTags->"PrimaryExamplesSection", + CellID->2142052055], +Cell[CellGroupData[{ +Cell[4944, 149, 196, 6, 26, "ExampleSection", + CellID->1317340036], +Cell[5143, 157, 236, 7, 27, "Input", + CellID->1279586700], +Cell[CellGroupData[{ +Cell[5404, 168, 73, 2, 27, "Input", + CellID->2058585413], +Cell[5480, 172, 232, 8, 40, "Output", + CellID->703735332] +}, Open ]], +Cell[5727, 183, 123, 3, 27, "Input", + CellID->1056152490], +Cell[CellGroupData[{ +Cell[5875, 190, 73, 2, 27, "Input", + CellID->1836481849], +Cell[5951, 194, 189, 6, 35, "Output", + CellID->2077836747] +}, Open ]] +}, Open ]], +Cell[6167, 204, 31, 0, 29, "SectionFooterSpacer"] +}, Open ]], +Cell[CellGroupData[{ +Cell[6235, 209, 270, 12, 31, "SeeAlsoSection", + CellID->1255426704], +Cell[6508, 223, 240, 5, 56, "SeeAlso", + CellID->830480392] +}, Open ]], +Cell[6763, 231, 23, 0, 41, "FooterCell"] +} +] +*) + +(* End of internal cache information *) + diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRenameDummyIndices.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRenameDummyIndices.nb index dfba96374..7e077cfbc 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRenameDummyIndices.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRenameDummyIndices.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 22138, 796] -NotebookOptionsPosition[ 18304, 685] -NotebookOutlinePosition[ 20796, 747] -CellTagsIndexPosition[ 20711, 742] +NotebookDataLength[ 22079, 795] +NotebookOptionsPosition[ 18303, 685] +NotebookOutlinePosition[ 20737, 746] +CellTagsIndexPosition[ 20652, 741] WindowTitle->FCRenameDummyIndices WindowFrame->Normal*) @@ -61,7 +61,7 @@ FCCanonicalizeDummyIndices.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$121017], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$122025], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCCanonicalizeDummyIndices", ".html"]], None}]}]}, @@ -135,7 +135,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->364030378], + CellID->1189435418], Cell["", "SectionHeaderSpacer"], @@ -156,7 +156,7 @@ Cell[BoxData[ RowBox[{ "LorentzIndex", ",", "CartesianIndex", ",", "SUNIndex", ",", "SUNFIndex"}], "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{396, 34}, + ImageSize->{396, 35}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[51]="] @@ -181,7 +181,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1548271086], + CellID->47915233], Cell[CellGroupData[{ @@ -191,7 +191,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->180838452], + CellID->506785155], Cell[CellGroupData[{ @@ -685,8 +685,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCRenameDummyIndices", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -698,7 +698,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 2.250816}", + "built" -> "{2020, 6, 20, 19, 6, 12.589098}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -723,8 +723,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -734,14 +733,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5513, 168, 388, 15, 31, "PrimaryExamplesSection", + Cell[5514, 168, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1548271086]} + CellID->47915233]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 20567, 735} + {"PrimaryExamplesSection", 20510, 734} } *) (*NotebookFileOutline @@ -753,51 +752,51 @@ Cell[CellGroupData[{ Cell[3285, 93, 753, 16, 136, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4063, 113, 738, 24, 31, "NotesSection", +Cell[4063, 113, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->364030378], -Cell[4804, 139, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1189435418], +Cell[4805, 139, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4860, 143, 103, 2, 70, "Input"], -Cell[4966, 147, 486, 14, 55, "Output"] +Cell[4861, 143, 103, 2, 70, "Input"], +Cell[4967, 147, 486, 14, 56, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5513, 168, 388, 15, 31, "PrimaryExamplesSection", +Cell[5514, 168, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1548271086], + CellID->47915233], Cell[CellGroupData[{ -Cell[5926, 187, 195, 6, 26, "ExampleSection", - CellID->180838452], +Cell[5925, 187, 195, 6, 26, "ExampleSection", + CellID->506785155], Cell[CellGroupData[{ -Cell[6146, 197, 498, 18, 27, "Input", +Cell[6145, 197, 498, 18, 27, "Input", CellID->720389846], -Cell[6647, 217, 1640, 75, 39, "Output"] +Cell[6646, 217, 1640, 75, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8324, 297, 149, 5, 27, "Input", +Cell[8323, 297, 149, 5, 27, "Input", CellID->1752687288], -Cell[8476, 304, 1868, 75, 40, "Output"] +Cell[8475, 304, 1868, 75, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10381, 384, 267, 8, 27, "Input", +Cell[10380, 384, 267, 8, 27, "Input", CellID->1834012343], -Cell[10651, 394, 1230, 50, 40, "Output"] +Cell[10650, 394, 1230, 50, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11918, 449, 116, 3, 27, "Input", +Cell[11917, 449, 116, 3, 27, "Input", CellID->151485661], -Cell[12037, 454, 1230, 50, 40, "Output"] +Cell[12036, 454, 1230, 50, 40, "Output"] }, Open ]], -Cell[13282, 507, 1268, 36, 99, "Input"], +Cell[13281, 507, 1268, 36, 100, "Input"], Cell[CellGroupData[{ -Cell[14575, 547, 94, 2, 27, "Input"], -Cell[14672, 551, 3566, 127, 89, "Output"] +Cell[14574, 547, 94, 2, 27, "Input"], +Cell[14671, 551, 3566, 127, 89, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[18277, 683, 23, 0, 41, "FooterCell"] +Cell[18276, 683, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceAll.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceAll.nb index e480d653f..4b76fd3e4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceAll.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceAll.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8907, 292] -NotebookOptionsPosition[ 5904, 203] -NotebookOutlinePosition[ 8140, 262] -CellTagsIndexPosition[ 8056, 257] +NotebookDataLength[ 8847, 291] +NotebookOptionsPosition[ 5902, 203] +NotebookOutlinePosition[ 8082, 261] +CellTagsIndexPosition[ 7998, 256] WindowTitle->FCReplaceAll WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCReplaceAll.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$121450], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$122458], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCReplaceAll", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2137324929], + CellID->442513542], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1901306597], + CellID->818917728], Cell[CellGroupData[{ @@ -204,7 +204,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCReplaceAll", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -216,7 +216,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 3.448841}", + "built" -> "{2020, 6, 20, 19, 6, 13.678418}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -238,8 +238,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -249,14 +248,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3779, 108, 388, 15, 31, "PrimaryExamplesSection", + Cell[3779, 108, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2137324929]} + CellID->442513542]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7912, 250} + {"PrimaryExamplesSection", 7855, 249} } *) (*NotebookFileOutline @@ -267,33 +266,33 @@ Cell[2877, 76, 289, 11, 45, "ObjectNameGrid"], Cell[3169, 89, 585, 15, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3779, 108, 388, 15, 31, "PrimaryExamplesSection", +Cell[3779, 108, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2137324929], + CellID->442513542], Cell[CellGroupData[{ -Cell[4192, 127, 196, 6, 26, "ExampleSection", - CellID->1901306597], +Cell[4191, 127, 195, 6, 26, "ExampleSection", + CellID->818917728], Cell[CellGroupData[{ -Cell[4413, 137, 160, 5, 27, "Input", +Cell[4411, 137, 160, 5, 27, "Input", CellID->52762404], -Cell[4576, 144, 187, 6, 35, "Output", +Cell[4574, 144, 187, 6, 35, "Output", CellID->1612762649] }, Open ]], Cell[CellGroupData[{ -Cell[4800, 155, 269, 9, 27, "Input", +Cell[4798, 155, 269, 9, 27, "Input", CellID->1810816466], -Cell[5072, 166, 210, 7, 35, "Output", +Cell[5070, 166, 210, 7, 35, "Output", CellID->2011322610] }, Open ]], Cell[CellGroupData[{ -Cell[5319, 178, 306, 9, 27, "Input", +Cell[5317, 178, 306, 9, 27, "Input", CellID->1366564949], -Cell[5628, 189, 210, 7, 35, "Output", +Cell[5626, 189, 210, 7, 35, "Output", CellID->2023491188] }, Open ]] }, Open ]] }, Open ]], -Cell[5877, 201, 23, 0, 41, "FooterCell"] +Cell[5875, 201, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceD.nb index aa2d53b13..eef9df39d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12820, 450] -NotebookOptionsPosition[ 9291, 346] -NotebookOutlinePosition[ 11609, 406] -CellTagsIndexPosition[ 11524, 401] +NotebookDataLength[ 12771, 449] +NotebookOptionsPosition[ 9294, 346] +NotebookOutlinePosition[ 11557, 405] +CellTagsIndexPosition[ 11472, 400] WindowTitle->FCReplaceD WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$121883], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$122891], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCReplaceD", ".html"]], None}]}]}, @@ -133,7 +133,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->48787311], + CellID->2032965453], Cell["", "SectionHeaderSpacer"], @@ -176,7 +176,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->599988697], + CellID->1824880718], Cell[CellGroupData[{ @@ -186,7 +186,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1870792752], + CellID->1092603079], Cell["\<\ Applying the replacement rule directly to the expression doesn't give the \ @@ -262,7 +262,7 @@ Cell[BoxData[ FormBox["\[Nu]", TraditionalForm], TraditionalForm]}]]}], TraditionalForm]], "Output", - ImageSize->{171, 18}, + ImageSize->{171, 19}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[2]="] @@ -359,7 +359,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 4.473708}", + "built" -> "{2020, 6, 20, 19, 6, 14.683519}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -382,8 +382,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -393,14 +392,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5182, 163, 387, 15, 31, "PrimaryExamplesSection", + Cell[5184, 163, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->599988697]} + CellID->1824880718]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11381, 394} + {"PrimaryExamplesSection", 11328, 393} } *) (*NotebookFileOutline @@ -412,46 +411,46 @@ Cell[CellGroupData[{ Cell[3178, 91, 655, 16, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3858, 111, 737, 24, 31, "NotesSection", +Cell[3858, 111, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->48787311], -Cell[4598, 137, 31, 0, 70, "SectionHeaderSpacer"], + CellID->2032965453], +Cell[4600, 137, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4654, 141, 93, 2, 70, "Input"], -Cell[4750, 145, 371, 11, 37, "Output"] +Cell[4656, 141, 93, 2, 70, "Input"], +Cell[4752, 145, 371, 11, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5182, 163, 387, 15, 31, "PrimaryExamplesSection", +Cell[5184, 163, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->599988697], + CellID->1824880718], Cell[CellGroupData[{ -Cell[5594, 182, 196, 6, 26, "ExampleSection", - CellID->1870792752], -Cell[5793, 190, 115, 3, 32, "Notes"], +Cell[5597, 182, 196, 6, 26, "ExampleSection", + CellID->1092603079], +Cell[5796, 190, 115, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[5933, 197, 187, 6, 27, "Input", +Cell[5936, 197, 187, 6, 27, "Input", CellID->1718131501], -Cell[6123, 205, 398, 16, 37, "Output"] +Cell[6126, 205, 398, 16, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6558, 226, 152, 5, 27, "Input"], -Cell[6713, 233, 884, 34, 39, "Output"] +Cell[6561, 226, 152, 5, 27, "Input"], +Cell[6716, 233, 884, 34, 40, "Output"] }, Open ]], -Cell[7612, 270, 52, 0, 32, "Notes"], +Cell[7615, 270, 52, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[7689, 274, 302, 10, 27, "Input", +Cell[7692, 274, 302, 10, 27, "Input", CellID->1500698710], -Cell[7994, 286, 526, 21, 37, "Output"] +Cell[7997, 286, 526, 21, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8557, 312, 114, 3, 27, "Input"], -Cell[8674, 317, 551, 22, 37, "Output"] +Cell[8560, 312, 114, 3, 27, "Input"], +Cell[8677, 317, 551, 22, 37, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[9264, 344, 23, 0, 41, "FooterCell"] +Cell[9267, 344, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceMomenta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceMomenta.nb index eebed0284..bbac8b3c2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceMomenta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceMomenta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 27323, 884] -NotebookOptionsPosition[ 23715, 774] -NotebookOutlinePosition[ 25923, 832] -CellTagsIndexPosition[ 25838, 827] +NotebookDataLength[ 27273, 883] +NotebookOptionsPosition[ 23717, 774] +NotebookOutlinePosition[ 25871, 831] +CellTagsIndexPosition[ 25786, 826] WindowTitle->FCReplaceMomenta WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCReplaceMomenta.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$122316], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$123324], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCReplaceMomenta", ".html"]], None}]}]}, @@ -131,7 +131,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->49534846], + CellID->383032546], Cell["", "SectionHeaderSpacer"], @@ -195,7 +195,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1824691138], + CellID->1600806568], Cell[CellGroupData[{ @@ -205,7 +205,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->174733108], + CellID->1747687414], Cell[CellGroupData[{ @@ -775,7 +775,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCReplaceMomenta", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -787,7 +787,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 5.604165}", + "built" -> "{2020, 6, 20, 19, 6, 15.712615}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -808,8 +808,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -819,14 +818,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5945, 182, 388, 15, 31, "PrimaryExamplesSection", + Cell[5946, 182, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1824691138]} + CellID->1600806568]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 25694, 820} + {"PrimaryExamplesSection", 25642, 819} } *) (*NotebookFileOutline @@ -838,54 +837,54 @@ Cell[CellGroupData[{ Cell[3215, 91, 521, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3761, 109, 737, 24, 31, "NotesSection", +Cell[3761, 109, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->49534846], -Cell[4501, 135, 31, 0, 70, "SectionHeaderSpacer"], + CellID->383032546], +Cell[4502, 135, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4557, 139, 121, 3, 70, "Input", +Cell[4558, 139, 121, 3, 70, "Input", CellID->1998136416], -Cell[4681, 144, 1203, 31, 113, "Output", +Cell[4682, 144, 1203, 31, 113, "Output", CellID->580862538] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5945, 182, 388, 15, 31, "PrimaryExamplesSection", +Cell[5946, 182, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1824691138], + CellID->1600806568], Cell[CellGroupData[{ -Cell[6358, 201, 195, 6, 26, "ExampleSection", - CellID->174733108], +Cell[6359, 201, 196, 6, 26, "ExampleSection", + CellID->1747687414], Cell[CellGroupData[{ -Cell[6578, 211, 1895, 56, 152, "Input", +Cell[6580, 211, 1895, 56, 169, "Input", CellID->652639515], -Cell[8476, 269, 6448, 208, 91, "Output", +Cell[8478, 269, 6448, 208, 91, "Output", CellID->533319753] }, Open ]], Cell[CellGroupData[{ -Cell[14961, 482, 421, 14, 27, "Input", +Cell[14963, 482, 421, 14, 27, "Input", CellID->1708580280], -Cell[15385, 498, 6944, 216, 135, "Output", +Cell[15387, 498, 6944, 216, 135, "Output", CellID->909800019] }, Open ]], -Cell[22344, 717, 107, 3, 27, "Input", +Cell[22346, 717, 107, 3, 27, "Input", CellID->1788517480], -Cell[22454, 722, 297, 6, 66, "Notes", +Cell[22456, 722, 297, 6, 66, "Notes", CellID->854583664], -Cell[22754, 730, 214, 7, 45, "Input", +Cell[22756, 730, 214, 7, 45, "Input", CellID->117014617], Cell[CellGroupData[{ -Cell[22993, 741, 247, 8, 27, "Input", +Cell[22995, 741, 247, 8, 27, "Input", CellID->1500683361], -Cell[23243, 751, 272, 10, 56, "Output", +Cell[23245, 751, 272, 10, 56, "Output", CellID->355213937] }, Open ]], -Cell[23530, 764, 131, 4, 27, "Input", +Cell[23532, 764, 131, 4, 27, "Input", CellID->1564106320] }, Open ]] }, Open ]], -Cell[23688, 772, 23, 0, 41, "FooterCell"] +Cell[23690, 772, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceRepeated.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceRepeated.nb index 4d65618ee..de4b170b2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceRepeated.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCReplaceRepeated.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9623, 318] -NotebookOptionsPosition[ 6433, 223] -NotebookOutlinePosition[ 8704, 282] -CellTagsIndexPosition[ 8620, 277] +NotebookDataLength[ 9573, 317] +NotebookOptionsPosition[ 6435, 223] +NotebookOutlinePosition[ 8652, 281] +CellTagsIndexPosition[ 8568, 276] WindowTitle->FCReplaceRepeated WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCReplaceRepeated.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$122749], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$123757], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCReplaceRepeated", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->84386482], + CellID->1510377678], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1305051148], + CellID->1835539358], Cell[CellGroupData[{ @@ -223,8 +223,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCReplaceRepeated", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -236,7 +236,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 6.801885}", + "built" -> "{2020, 6, 20, 19, 6, 16.793883}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -258,8 +258,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -269,14 +268,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3812, 107, 386, 15, 31, "PrimaryExamplesSection", + Cell[3812, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->84386482]} + CellID->1510377678]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8478, 270} + {"PrimaryExamplesSection", 8424, 269} } *) (*NotebookFileOutline @@ -287,39 +286,39 @@ Cell[2902, 76, 294, 11, 45, "ObjectNameGrid"], Cell[3199, 89, 588, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3812, 107, 386, 15, 31, "PrimaryExamplesSection", +Cell[3812, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->84386482], + CellID->1510377678], Cell[CellGroupData[{ -Cell[4223, 126, 196, 6, 26, "ExampleSection", - CellID->1305051148], +Cell[4225, 126, 196, 6, 26, "ExampleSection", + CellID->1835539358], Cell[CellGroupData[{ -Cell[4444, 136, 167, 5, 27, "Input", +Cell[4446, 136, 167, 5, 27, "Input", CellID->1953443279], -Cell[4614, 143, 187, 6, 35, "Output", +Cell[4616, 143, 187, 6, 35, "Output", CellID->1385622949] }, Open ]], Cell[CellGroupData[{ -Cell[4838, 154, 274, 9, 27, "Input", +Cell[4840, 154, 274, 9, 27, "Input", CellID->2016543797], -Cell[5115, 165, 210, 7, 35, "Output", +Cell[5117, 165, 210, 7, 35, "Output", CellID->1020369204] }, Open ]], Cell[CellGroupData[{ -Cell[5362, 177, 231, 7, 27, "Input", +Cell[5364, 177, 231, 7, 27, "Input", CellID->1921067494], -Cell[5596, 186, 210, 7, 35, "Output", +Cell[5598, 186, 210, 7, 35, "Output", CellID->1391169941] }, Open ]], Cell[CellGroupData[{ -Cell[5843, 198, 311, 9, 27, "Input", +Cell[5845, 198, 311, 9, 27, "Input", CellID->1480097144], -Cell[6157, 209, 210, 7, 35, "Output", +Cell[6159, 209, 210, 7, 35, "Output", CellID->1012664729] }, Open ]] }, Open ]] }, Open ]], -Cell[6406, 221, 23, 0, 41, "FooterCell"] +Cell[6408, 221, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRerouteMomenta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRerouteMomenta.nb index 5bbc72b6c..8fe59186b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRerouteMomenta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCRerouteMomenta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 26042, 818] +NotebookDataLength[ 25986, 817] NotebookOptionsPosition[ 22298, 714] -NotebookOutlinePosition[ 24972, 778] -CellTagsIndexPosition[ 24887, 773] +NotebookOutlinePosition[ 24916, 777] +CellTagsIndexPosition[ 24831, 772] WindowTitle->FCRerouteMomenta WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCRerouteMomenta.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$123179], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$124187], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCRerouteMomenta", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->792842322], + CellID->1654346728], Cell["", "SectionHeaderSpacer"], @@ -176,7 +176,7 @@ Cell[BoxData[ ",", "CVE", ",", "SP", ",", "SPD", ",", "SPE", ",", "CSP", ",", "CSPD", ",", "CSPE", ",", "TC"}], "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{450, 89}, + ImageSize->{450, 91}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[335]=", @@ -202,7 +202,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->731448533], + CellID->929959985], Cell[CellGroupData[{ @@ -212,7 +212,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1220319058], + CellID->521475236], Cell[TextData[{ "Reroute momenta according to the momentum conservation relation ", @@ -715,7 +715,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCRerouteMomenta", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -727,7 +727,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 8.012620}", + "built" -> "{2020, 6, 20, 19, 6, 17.817257}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -754,8 +754,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -765,14 +764,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6464, 189, 387, 15, 31, "PrimaryExamplesSection", + Cell[6465, 189, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->731448533]} + CellID->929959985]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 24744, 766} + {"PrimaryExamplesSection", 24688, 765} } *) (*NotebookFileOutline @@ -784,29 +783,29 @@ Cell[CellGroupData[{ Cell[3215, 91, 1122, 25, 171, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4362, 120, 738, 24, 31, "NotesSection", +Cell[4362, 120, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->792842322], -Cell[5103, 146, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1654346728], +Cell[5104, 146, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5159, 150, 121, 3, 70, "Input", +Cell[5160, 150, 121, 3, 70, "Input", CellID->1812704255], -Cell[5283, 155, 1120, 27, 110, "Output", +Cell[5284, 155, 1120, 27, 112, "Output", CellID->1115039146] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6464, 189, 387, 15, 31, "PrimaryExamplesSection", +Cell[6465, 189, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->731448533], + CellID->929959985], Cell[CellGroupData[{ -Cell[6876, 208, 196, 6, 26, "ExampleSection", - CellID->1220319058], +Cell[6877, 208, 195, 6, 26, "ExampleSection", + CellID->521475236], Cell[7075, 216, 247, 8, 32, "Notes", CellID->1405927763], Cell[CellGroupData[{ -Cell[7347, 228, 1819, 55, 134, "Input", +Cell[7347, 228, 1819, 55, 135, "Input", CellID->1789291289], Cell[9169, 285, 6449, 208, 91, "Output", CellID->1039412028] @@ -819,7 +818,7 @@ Cell[15916, 508, 6316, 199, 91, "Output", }, Open ]] }, Open ]] }, Open ]], -Cell[22271, 712, 23, 0, 70, "FooterCell"] +Cell[22271, 712, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSchoutenBruteForce.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSchoutenBruteForce.nb index ac35d91f9..ac80d7e26 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSchoutenBruteForce.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSchoutenBruteForce.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 25458, 867] -NotebookOptionsPosition[ 21560, 755] -NotebookOutlinePosition[ 24123, 817] -CellTagsIndexPosition[ 24038, 812] +NotebookDataLength[ 25400, 866] +NotebookOptionsPosition[ 21559, 755] +NotebookOutlinePosition[ 24066, 816] +CellTagsIndexPosition[ 23981, 811] WindowTitle->FCSchoutenBruteForce WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCSchoutenBruteForce.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$123610], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$124618], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCSchoutenBruteForce", ".html"]], None}]}]}, @@ -137,7 +137,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->147640550], + CellID->712159934], Cell["", "SectionHeaderSpacer"], @@ -191,7 +191,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->847413702], + CellID->363321179], Cell[CellGroupData[{ @@ -201,7 +201,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1290856333], + CellID->502204985], Cell["\<\ One may not recognize it easily, but the following expression is zero by \ @@ -756,7 +756,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCSchoutenBruteForce", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -768,7 +768,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 9.243327}", + "built" -> "{2020, 6, 20, 19, 6, 18.804696}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -793,8 +793,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -806,12 +805,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6041, 178, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->847413702]} + CellID->363321179]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 23895, 805} + {"PrimaryExamplesSection", 23838, 804} } *) (*NotebookFileOutline @@ -825,7 +824,7 @@ Cell[3239, 91, 912, 20, 154, "Usage", Cell[CellGroupData[{ Cell[4176, 115, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->147640550], + CellID->712159934], Cell[4917, 141, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4973, 145, 124, 3, 70, "Input", @@ -838,37 +837,37 @@ Cell[5100, 150, 880, 21, 74, "Output", Cell[CellGroupData[{ Cell[6041, 178, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->847413702], + CellID->363321179], Cell[CellGroupData[{ -Cell[6453, 197, 196, 6, 26, "ExampleSection", - CellID->1290856333], -Cell[6652, 205, 139, 4, 32, "Notes", +Cell[6453, 197, 195, 6, 26, "ExampleSection", + CellID->502204985], +Cell[6651, 205, 139, 4, 32, "Notes", CellID->723339137], -Cell[6794, 211, 113, 3, 27, "Input", +Cell[6793, 211, 113, 3, 27, "Input", CellID->1332338150], Cell[CellGroupData[{ -Cell[6932, 218, 1043, 33, 62, "Input", +Cell[6931, 218, 1043, 33, 62, "Input", CellID->1838333672], -Cell[7978, 253, 5310, 217, 75, "Output", +Cell[7977, 253, 5310, 217, 75, "Output", CellID->343559860] }, Open ]], Cell[CellGroupData[{ -Cell[13325, 475, 187, 6, 27, "Input", +Cell[13324, 475, 187, 6, 27, "Input", CellID->148970268], Cell[CellGroupData[{ -Cell[13537, 485, 7004, 232, 81, "Print", +Cell[13536, 485, 7004, 232, 81, "Print", CellID->157369453], -Cell[20544, 719, 393, 10, 24, "Print", +Cell[20543, 719, 393, 10, 24, "Print", CellID->1838284525], -Cell[20940, 731, 352, 8, 24, "Print", +Cell[20939, 731, 352, 8, 24, "Print", CellID->1164973788] }, Open ]], -Cell[21307, 742, 187, 6, 35, "Output", +Cell[21306, 742, 187, 6, 35, "Output", CellID->1040921019] }, Open ]] }, Open ]] }, Open ]], -Cell[21533, 753, 23, 0, 41, "FooterCell"] +Cell[21532, 753, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb index 13e9d93a1..f3d8ed3f9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetDiracGammaScheme.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 50091, 1627] -NotebookOptionsPosition[ 43894, 1427] -NotebookOutlinePosition[ 46458, 1494] -CellTagsIndexPosition[ 46336, 1488] +NotebookDataLength[ 50062, 1627] +NotebookOptionsPosition[ 43914, 1428] +NotebookOutlinePosition[ 46424, 1494] +CellTagsIndexPosition[ 46302, 1488] WindowTitle->FCSetDiracGammaScheme WindowFrame->Normal*) @@ -81,7 +81,7 @@ FCSetDiracGammaScheme.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$124054], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$125062], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCSetDiracGammaScheme", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->36733847], + CellID->1223196223], Cell["", "SectionHeaderSpacer"], @@ -272,7 +272,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->82917860], + CellID->1187084404], Cell[CellGroupData[{ @@ -282,7 +282,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->32234158], + CellID->1196363630], Cell[CellGroupData[{ @@ -434,13 +434,14 @@ Cell[BoxData[ Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}]], "Input", + RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}]], "Input",\ + CellLabel->"In[4]:=", CellID->1854871493], Cell[BoxData[ FormBox["\<\"NDR-Discard\"\>", TraditionalForm]], "Output", - ImageSize->{75, 16}, + ImageSize->{89, 14}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[4]=", @@ -509,42 +510,42 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQtwVNUZgLF12o6dTlHHkanDjDqAPEQEOkhA3hgKQwcBLQEjlQxvNDqA -gHQKCGhKgwMjr2kAGzBoEcjwEEFBOkKlCNhQk/IKEAiPBBIxL7KbbDanu7lI +1:eJztnQtwVNUZgLF12o6dTlHHkanDjDqAPEQEpkhA3hgKQwcBLQEjlQxvNDqA +QNMpIKApDQ6MvKYBbMCgRSDDQwQF6QiVImBDDfIKEAiPBBIxL7KbbDanu7lI ILn3nLv33HPOfw7/NwMD7Gaz5zv/vbmb7PA9lvT6sPE/adKkybRfRH4bNmZm -n6lTx7w1vGnkLy8mT5s0IXnc2IHJ08dNGDe1a9JPI/84MPLr0j1NmkT/TLQk -XKv6GSBUcIPkgJ4RFYS/3zsxcV1+xcWNb4xbeTbY4NZQfvrwpAMlhFRkJfcc -fbA0poeuvrb/rwO7zz0eIJU5M3s+v7u44YiHy7I3rv7kiy8y5o5ZeKj09ltr -A+c//2DDjs/Sp3d64IFHWz3xRPv+754K3Lq5pmjv/JG9nnr01/c/3ubJLiO3 -X62J6YlJx1EyUxEL9gah5Js3O3pwA80zdRMNk4wopPTgy3FT9h9MX7bnaqjR -jbXFu4YP+vhKDQmeWti1/6bCcKyPXrI/MX75uUDhjqT5h8saHB/h619O+f3y -s1WEBE8u7D3qYFn9py05MG3o8jNV0UNkbb/BuxqewcKBwqJgbWX23BHr8hs/ -aYDQJNMUMWFuEEq2cPbgCpZnp000TjJCJVSwOaFj4jfO0xU8s2TEH97LDTje -gUJl9pttf9O+0+h91+1OExVHJ8ennAqSmssf9u6acrrRtQqTwIl3B885dGR9 -+neNTkPhq5mDeqTmRsaY3Dg2tf/s7MpbN13/clj3Ocej66nKfa//H/9tu/Tg -ycUJaeeqY35K9qiTTFHEhrVBKNmC4sEVLM9Om6hAMqKM0JUtY599qHkCZcLD -pVmZmVklMV/0RqjOW96z36qPkrq89Hlx44+PXETEPfdZcW3V2b/1afvyN2Wx -f4bA/97uk/jnDWdsDo2ygyNaxmVcjrzmq/jvgsQV0WuPm4QLN/WNWxQ9sIJn -Vo2c959yu0cOXVgzYNQe268wsaNSMkURE+YGoWQLZw+uYHp22ET5khFlVF/a -/KelO1M7taBNuHdCl9b365aaW3H5o9GD3vm64TFSc+XjPq179U184+3UJUM6 -D1m8La/SfqBm3klBQcGPt5QdmTIxI9/ukiFwYm77R54ZPHfd9q0b0v9ZeMdd -Qlc2Txo6K/3T7Rkf7LnkcDEfuvj3fq0G7ixiHdc1V3dMeO0wVZ5SyRRFP+Ko -l7lBsiS7QKlkmod6vHt23ETJk4woozp/4+y0k6V5Kzs7TXh10YG1E+N7DF20 -OI12YVZ1ceeS1NUZKya0uu9nD8e/umB9nouXmbXFu1/otyKP/dqs5ofDq6cl -jhqbPH32O2uySl0d2KELaT26Lo71+sYDNZfWPzd43w/Od1Ar2QWOepkbJE0y -E7WS3Xnw7lkOzElGlFF1PmP22twAqT7vPOGElHw1tMUzS7euOu74Bbe27PCb -XXqlXagmwZPz2jzcbWOBq7NpdELjZrC/sRc4kfJs65e2XI5plKvzlsU9PSPH -y+v+GGFMuGLJbJz1MjdInmQGiiW78sDhWRJ4rlZF6MqmpAG9GjDo1a9Lbr66 -Cp5dN3vduejLJuqEVxwd37rjnK3vf+v4/a5w0ae/a96h7qqi/EhSux5r/P2B -842syY/96pG+w0ZESBibcuKGnw/unXq9ca3vf7BD94Z6LeBLBqrXgjXDFvAl -E8ie3U0yoo7g6dTeHdp3qKNt8/t+3rTlU31eP1bR8G6VOTPbtZucufyra47v -ywzlr/1ts86RuQ4X7Z70QkpWub97XLI/vtnjrx2DM9sNoF2NaCAZul42Gkgm -WnjG62r4hPLXdGlpfzVSdSa1Y+vET1ZlHP3X3hyHt2mEy3P+8dbk6cs2btu6 -7+wN378YB0+ntH+o45Lc2N/PJweXEw5VMnS9MQFVMtHCM56r4UOZ8MDJ+T2e -HPbK8OS12eUO8128+5U2zR/85b33RLi3aadp9u8b4qC2/LuVSb27DRk/Y868 -BUt2FKj+EUwD+M/VaiUD1xsTYCUTHTzjudpoqgt2/WXBlgvWxUJt6PqRpbMO -4Wb7DEqWAEpGTKamcMuAFv23XrOuU8LluXu37bkM+EWelqBkCaBkxGxqK7JT -n2/TrPnT8QkTZi1Ky/z2e/wvB3wHJUsAJSMIgiAIgiAIgiAIgiAIgiAIgtxl +n6lTx/xpeNPIX15MnjZpQvK4sQOTp4+bMG5q16SfRv5xYOTXpXuaNIn+mWhJ +uFb1M0Co4AbJAT0jKgh/v2di4tr8iosb3hi34mywwa2h/IzhSftLCKnITu45 ++kBpTA9dfW3f3wZ2n3M8QCqPzez5/K7ihiMeLsvZsOrjzz/PnDNmwcHS22+t +DZz/7P312z/NmN7pgQcebfXEE+37v3MqcOvmmqI980b2eurRX9//eJsnu4zc +drUmpicmHUfJTEUs2BuEkm/e7OjBDTTP1E00TDKikNIDL8dN2XcgY+nuq6FG +N9YW7xw+6KMrNSR4akHX/hsLw7E+esm+xPhl5wKF25PmHSprcHyEr38x5ffL +zlYREjy5oPeoA2X1n7Zk/7Shy85URQ+RNf0G72x4BgsHCouCtZU5c0aszW/8 +pAFCk0xTxIS5QSjZwtmDK1ienTbROMkIlVDBpoSOiV87T1fwzOIRf3g3N+B4 +BwqVOW+2/U37TqP3Xrc7TVQcmRyfeipIai5/0Ltr6ulG1ypMAifeGTz74OF1 +Gd82Og2Fr2YN6pGWGxljcuPo1P4pOZW3brr+xbDus49H11OV+27/P/7HdunB +k4sS0s9Vx/yU7FEnmaKIDWuDULIFxYMrWJ6dNlGBZEQZoSubxz77UPMEyoSH +S7OzsrJLYr7ojVCdt6xnv5UfJnV56bPixh8fuYiIe+7T4tqqs3/v0/blr8ti +/wyB797qk/iX9WdsDo2yAyNaxmVejrzmq/jf/MTl0WuPm4QLN/aNWxg9sIJn +Vo6c+99yu0cOXVg9YNRu268wsaNSMkURE+YGoWQLZw+uYHp22ET5khFlVF/a +9OclO9I6taBNuHdCl9b165aWW3H5w9GD3v6q4TFSc+WjPq179U184620xUM6 +D1m0Na/SfqBm3klBQcGPt5QdnjIxM9/ukiFwYk77R54ZPGftti3rM/5VeMdd +Qlc2TRo6K+OTbZnv777kcDEfuviPfq0G7ihiHdc1V7dPeO0QVZ5SyRRFP+Ko +l7lBsiS7QKlkmod6vHt23ETJk4woozp/Q0r6ydK8FZ2dJry6aP+aifE9hi5c +lE67MKu6uGNx2qrM5RNa3fezh+Nfnb8uz8XLzNriXS/0W57Hfm1W88OhVdMS +R41Nnp7y9ursUlcHduhCeo+ui2K9vvFAzaV1zw3e+4PzHdRKdoGjXuYGSZPM +RK1kdx68e5YDc5IRZVSdz0xZkxsg1eedJ5yQki+HtnhmyZaVxx2/4NaWHXqz +S6/0C9UkeHJum4e7bShwdTaNTmjcDPY39gInUp9t/dLmyzGNcnXe0rinZxzz +8ro/RhgTrlgyG2e9zA2SJ5mBYsmuPHB4lgSeq1URurIxaUCvBgx69auSm6+u +gmfXpqw9F33ZRJ3wiiPjW3ecveW9bxy/3xUu+uR3zTvUXVWUH05q12O1vz9w +vpE9+bFfPdJ32IgICWNTT9zw88G9U683rvX9D3bo3lCvBXzJQPVasGbYAr5k +Atmzu0lG1BE8nda7Q/sOdbRtft/Pm7Z8qs/rRysa3q3y2Mx27SZnLfvymuP7 +MkMX1/y2WefIXIeLdk16ITW73N89LtkX3+zx147Cme0G0K5GNJAMXS8bDSQT +LTzjdTV8Qvmru7S0vxqpOpPWsXXixyszj/x7zzGHt2mEy7/7Z8rk6Us3bN2y +9+wN378YB0+ntn+o4+Lc2N/PJweXEw5VMnS9MQFVMtHCM56r4UOZ8MDJeT2e +HPbK8OQ1OeUO812865U2zR/85b33RLi3aadp9u8b4qC2/NsVSb27DRk/Y/bc ++Yu3F6j+EUwD+M/VaiUD1xsTYCUTHTzjudpoqgt2/nX+5gvWxUJt6PrhJbMO +4mb7DEqWAEpGTKamcPOAFv23XLOuU8LluXu27r4M+EWelqBkCaBkxGxqK3LS +nm/TrPnT8QkTZi1Mz/rme/wvB3wHJUsAJSMIgiAIgiAIgiAIgiAIgiAIgtxl YPlIKKj3dtCGBFCyRCjZI0Z7yB2ey0d1T84huqRb9shRMvdChOj1aevlw2WD iuc6mHkBL55mHBNvqTvzJNvimD1itYfc4bV8FMUxuqRd9shJMvdChOj1aevl w2ODgcc6mIEBL45mnAu8pO4ASVaUPXLVHmLitXxEmNElU9pSXAsRo9efrW+M @@ -576,7 +577,7 @@ N58igLyUTyvSODKlg2ToeiFMsh/I9iyjBgg+ygM8x2MBIC/lz4o0jkzpIBm+ XgCT7APSPUuoAcKP8gDN8VgYlJeygGjboLwURL0WZk0yXM/e0SDKAz3HY6F/ XspCD9s26CFZA71GTLIGnnmAGuWBnuOx0D8vZaGHbTqAJWug14hJ1sAzD2Cj PMBzPBYG5KUstLBNB7Jk+HrNmGT4nhWBUR4JoGQJoGQJoGRlYJRHAihZAihZ -AihZIRjlkQBKlgBKlgBKRhAEQfTl/9uYo7I= +AihZIRjlkQBKlgBKlgBKRhAEQfTl/1AKo+4= "], {{0, 73}, {484, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -590,7 +591,7 @@ AihZIRjlkQBKlgBKlgBKRhAEQfTl/9uYo7I= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[7]=", - CellID->1048714447] + CellID->1038320327] }, Open ]], Cell[CellGroupData[{ @@ -629,61 +630,61 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQtQVFUYgLGcamyaLMfJqWFGHTV8oKkNioaKEKZjo6IlGlkyKj6xEZ80 -ialFhg1Ook4oBoYWqQxq5jObNMlnmJCigCgKoqDxkl32ddsHpbJ7z7177zl7 -/7P834yOunDZ851/795d1K9T1PzwGU/4+PjEPmP9KXzqkuAFC6YuG9/W+pt3 -YmJnRcdMnzYyZuH06OkLBkY9af3DAOuPvFY+PrZfC5phtmj3tVsGaJg1aBjh -AWNp2vioE9WCUJ8bM2RKTs2jtxnuHv9y5OD4SzqhIX/JkLEHq+TPtPne0ZmR -6aX1NzM/mr6xWO90c21e5uYfDx/OiJ+6+lTNo4e16K4f2rp9389pC/u9+GLH -bq++6h/6+RXd/zebKo+unDS0d8fnX+jcvVfApL13TArW7FlIhh2I2yAjKpm4 -cS3NsMR6pVAm2f6ZItvKoWGENpaqA+NHfV9uEvRXVg8M3VlhbnZ79fHIsORr -uop9USvP1LpxLVGT837gnOM5aeuP3DE63Wi+/8uct5OLGwVBX7B62OSc2od3 -p/pE7Ljkokbbgyk1ZPSB5sNs1lVU6i0NefET00udjwsSKcMEG1KQJIttXEsz -LLVeSZRItiG6rRwaboEYb++K6Bt5WvzBqC9KmvjuV4Xyn8Efp/7c7LCEK3rB -VPbdsIEJV50uTXWXPx+9/NTZbWkX3TntCg15i3q87N9vyrH7Lj7LfCdrVFBi -oXUkhQcXFoTG5TX8f9P9X8IHL79kW0xj4VehH/zhct36grURKdcMbtwdElob -JtiQgChZbONammFZ6yWgSLIgua10DSOUMZbvnvZGe98IwtCaa3KzsnKrna6j -5GG9Rgh88+cqS2PxN8E93j9d63QY3d+fBkd+sr1I9tnAjqEkeUjIph1RAe8d -qnK+Z7U5E7sGZpRZX2DV/7UqcoPtaqQJc8XO4YFrbNOqL9o0acWfda4Obryx -ZcTkI64eBwrQ3rC4DQnIkkU2rqUZlrVeAook2yBvK1XDCGUMt3Z9vG5/Yr8u -pKFVhan8+2C/ocMjP/o0MWlM/zFr95Q0NJuF2rNzZmaUuvnMbLy1LWRQYmF9 -2Y4poz472fwBpbsc7//KgNHx6Xuzt6f9WvHYsY3lu2aNW5r2096MrUduOV0c -Nn3MzW9Duo3cX6nwcfooAAyTbBAhSxbdOJqGTXf2Rc87QzSnuWE56xVHoWTJ -baU4wwhlDKWZcSkFNSUb+4sNraHyROrMsKBxa9amkK5IG2/uT0rcnLEhulub -p14Km7tqW8l/r+ksVQcnhGwoUfWCx/TPmc2xkZOnxSyM+2xLbo30JBlvpAQN -XCv/wo4dEAzLs+G2ZM9gurXtzdHH/hH/AAiGZUNTMpwhR9yj8XpGXGqhTjBc -Fx9aQaj+bVyXAeuyN10SvZqw1J5ZFDA05YZB0Bes6P7SoMzbDwfKNrOBi+W/ -p+gC3eWEN/ze210mf+4NJesDX1ucr+aL0gGEYVk23JfsISROvCAMy4WqZDBD -jriHvjg9Lv2a7YURcWjrz83w67s8++vzom8WmSt/esu3j/2pt+5sVM+gLXS/ -j/ogd3an514ZHj7RSsS0hMsPaB5cIcbynVEjhjZj1NyT1Y854sWwAFDyQ8OB -fi+06zOYe8MCNMnyZhihjf5q4rA+/n3s9PBt83Tbrr2D51+ob/5hDflLevac -nZX8213RvwhoLE19vUN/66iaKw/OmpCQW0d356qPh3XoPO+C5qcCt+HGsABZ -MumKlyfDAmTJiCYYS7cEdHV9tdBYlNjXL/LHTRnnfj+a7/zdcjvmuvwfls1e -uD5zT/ax4gfUJ1Z/NcG/fd+kQre/aQEI2IYFyJIl3+N1AN6wAFkyogmEodUV -rAzqFf7h+JjUvDqRka06+GF333bPtm5lpXXbfrFu/20aKSx1FzdGDRs0Zsbi -5StWJe27De5tSGmAGxYAS1Z/4gViWAAsGeENw+0DX6zafcPxHG4x3j+7bukp -yQcJ4gZomDVoGOEMU8XuEV1Cs+86riPMdYVH9xwpwxdSFEHDrEHDCHdY6vMS -x3bv4PtaWET00jUpWefv4b8LpwsaZg0aRhAEQRAEQRAEQRAEQRAEQRCEZzCq -4n3gnnoAlIy4CSmqoqJgQj+norrwogEqFkuG3F1SFcrhK1ujJoEkhRrJ9s/H -MBAiBimqoqZgQj2nor7wog3KFisFsbukKpTDX7ZGaQJJEuWSbWAYiGu0ztYo -LJgwyKmoLbyIwdiw8nYMAaJeCqEcrsJAqhJIBFRIFjAMxDfaZ2uUFUwY5FTU -Fl5EYG5YcTuGAFmv+lAOX2EgNQkkAiok28AwEL9oHlURFBZMmORU3C68gMjW -KG/HiEPWSyGUw1V6SVUCSRxVkqmFgWTMMEIZTqIqcHMqELI1BBglgeiFciig -rWHZ0JdMa5Jl/u9wCDU4iapAzqkAyNYQYJQEohbKoYDGhuXCQDK1ScYTr2fh -JaoCK6fiwIuyNRD1Ct6WXoIoWd4MI7ThJqoCOqfCf7YGtF4J+DAsAJeMV7xa -ATuqAjqnwn+2BrRe+QA2LACXjCderQAeVYGcU/GCbA1kvfKBbFiALRlPvByC -URXWoGHWoGGEMzCqwho0zBo0jHAHRlVYg4ZZg4YRBEEQBEEQBEEQBEEQBEEQ -BEEeAYMpHgNVswPdegBvkkzIprCI/thRHkzhMf3jgNmKlKtms/WawSCyw8Qt -nzPMrhXFSLL90AqjWh5CJJvCKvqjIpjCa/qH5YpUqWaw9RrBJLLDwi2XM8yy -FcVEsv1OKY5q/Yd2YRoW0R81wRRO0z8MV6RONf2tF0M7w/aDazDGrGpEYrA0 -zLAVxWyAlUe1mtAyTMMi+qMimMJr+ofdilSqpr71Imho2P7ltRhjRjUiEZga -ZtiKYjfAiqNaTXdMyzANi+iPqmAKn+kfqit6DJWqqW+9a7Q1LGgzxvRqRABm -mFkrit0AK45q2QGfTYEbTGm6fwDSP5RWxGsAiAfDoN1CmGEaeFSyqpEAn02B -HExxACD9Q2dFvAaAeDAM3C2AGaaAZyWrGQn42RSIwRQHXpT+cQBOtRelf8C5 -deBdMwxUsgs4yKaADqY44D/944AD1S7gwzB0t14xw9AluwRqNgV0MMUB/+kf -BxyoJgPYMHS3XjHD0CW7BGw2BXIwxYEXpH8cwFdNBrJh4G69Y4aBS6YNZlNY -g4ZZg4ZZg4Ypg9kU1qBh1qBh1qBh6mA2hTVomDVomDVoGEEQBGHKv+Zq7iY= - +1:eJztnQtQVFUYgLGaamyaLMfRyWHGHB/4wOdEoqEihOnQqGiJipaMio/CRkyN +JjE1ybDBSdQJxcBQwweDb0uzUYtMLSx8oIAoCqKg8ZJd9nXbB6Wye8+9e+85 +e/+z/N+Mjrpw2fOdf+/eXdTvlej5EbOe8PHxiXvW+lPE9MXBCxZM/3h8G+tv +3o6NmxMTO3PGqNiFM2NmLhgU/aT1DwOsP/Jb+fjYfi1ohtmi3dduGaBh1qBh +hAeMpenjo09VC0J9XuzQabk1j95muHvyy1FDEi7phIYLi4eOPVIlf6bN947N +jsoorb+Z9eHMDcV6p5tr87M27fzxx8yE6StP1zx6WIvu+g9btu0/lL5wwEsv +derWvbt/6Koruv9vNlUeWz5pWJ9OL7zYuUfvgEn77pgUrNmzkAw7ELdBRlQy +ceNammGJ9UqhTLL9M0W2lUPDCG0sVYfHj95RbhL0V1YOCt1VYW52e/XJqLCU +a7qK/dHLz9S6cS1Rkzs1cN7J3PR1R+8YnW403/9p3lspxY2CoC9YOXxybu3D +u1N9Km5cSlGj7cGUFhJ+uPkwm3UVlXpLQ37CxIxS5+OCRMowwYYUJMliG9fS +DEutVxIlkm2IbiuHhlsgxtu7I/tH/S7+YNQXJU9856tC+c/gj1N/bm5Y4hW9 +YCr7bvigxKtOl6a6y6vCl54+uzX9b3dOu0JD/kc9X/YfMO34fRefZb6TPToo +qdA6ksKD8wtC4/Mb/r/p/k8RQ5Zesi2msfCr0Hd/c7lufcGayNRrBjfuDgmt +DRNsSECULLZxLc2wrPUSUCRZkNxWuoYRyhjL98x4vZ1vJGFozTV52dl51U7X +UfKwXiMEvnGoytJY/E1wz6m/1zodRnfxs+CoT7cVyT4b2DGUpAwN2bg9OmDK +D1XO96w2d2LXwMwy6wus+r9WRK23XY00Ya7YNSJwtW1a9UUbJy37s87VwY03 +No+cfNTV40AB2hsWtyEBWbLIxrU0w7LWS0CRZBvkbaVqGKGM4dbuT9YeTBrQ +hTS0qjCV7wj2GzYi6sPPkpLHDByzZm9JQ7NZqD07b3ZmqZvPzMZbW0MGJxXW +l22fNvrzX5s/oHSXE/w7vhaekLEvZ1v6zxWPHdtYvnvOuCXpB/Zlbjl6y+ni +sOljbn4b0m3UwUqFj9NHAWCYZIMIWbLoxtE0bLqzP+aDM0RzmhuWs15xFEqW +3FaKM4xQxlCaFZ9aUFOyYaDY0BoqT6XNDgsat3pNKumKtPHmweSkTZnrY7q1 +frp92Psrtpb895rOUnVkQsj6ElUveEz/nNkUFzV5RuzC+M8359VIT5LxRmrQ +oDXyL+zYAcGwPBtuS/YMpltb3wg//o/4B0AwLBuakuEMOeIejdcz49MKdYLh +uvjQCkL1iXFdXlubs/GS6NWEpfbMRwHDUm8YBH3Bsh7tB2fdfjhQtpkNXCT/ +PUUX6C4nvu43ZU+Z/Lk3lKwL7LfogpovSgcQhmXZcF+yh5A48YIwLBeqksEM +OeIe+uKM+IxrthdGxKGtPzfLr//SnK//EH2zyFx54E3fvvan3rqz0b2CNtP9 +PuqDvLmvPN9xRMREK5EzEi8/oHlwhRjLd0WPHNaM0e//Wv2YI14MCwAlPzQc +6Pdi275DuDcsQJMsb4YR2uivJg3v69/XTk/f1s+06doneP75+uYf1nBhca9e +c7NTTtwV/YuAxptpr3YYaB1Vc+WRORMS8+ro7lz1ybAOnT84r/mpwG24MSxA +lky64uXJsABZMqIJxtLNAV1dXy00FiX194vauTHz3C/HLjh/t9yOue7i9/Fz +F67L2ptzvPgB9YnVX030b9c/udDtb1oAArZhAbJkyfd4HYA3LECWjGgCYWh1 +BcuDeke8Nz42Lb9OZGSrjrzXw7ftc0+1svJUmwFxbv9tGiksdX9viB4+eMys +RUuXrUjefxvc25DSADcsAJas/sQLxLAAWDLCG4bbh79YseeG4zncYrx/du2S +05IPEsQN0DBr0DDCGaaKPSO7hObcdVxHmOsKj+09WoYvpCiChlmDhhHusNTn +J43t0cG3X1hkzJLVqdl/3MN/F04XNMwaNIwgCIIgCIIgCIIgCIIgCIIgCM9g +VMX7wD31ACgZcRNSVEVFwYR+TkV14UUDVCyWDLm7pCqUw1e2Rk0CSQo1ku2f +j2EgRAxSVEVNwYR6TkV94UUblC1WCmJ3SVUoh79sjdIEkiTKJdvAMBDXaJ2t +UVgwYZBTUVt4EYOxYeXtGAJEvRRCOVyFgVQlkAiokCxgGIhvtM/WKCuYMMip +qC28iMDcsOJ2DAGyXvWhHL7CQGoSSARUSLaBYSB+0TyqIigsmDDJqbhdeAGR +rVHejhGHrJdCKIer9JKqBJI4qiRTCwPJmGGEMpxEVeDmVCBkawgwSgLRC+VQ +QFvDsqEvmdYky/zf4RBqcBJVgZxTAZCtIcAoCUQtlEMBjQ3LhYFkapOMJ17P +wktUBVZOxYEXZWsg6hW8Lb0EUbK8GUZow01UBXROhf9sDWi9EvBhWAAuGa94 +tQJ2VAV0ToX/bA1ovfIBbFgALhlPvFoBPKoCOafiBdkayHrlA9mwAFsynng5 +BKMqrEHDrEHDCGdgVIU1aJg1aBjhDoyqsAYNswYNIwiCIAiCIAiCIAiCIAiC +IAiCPAIGUzwGqmYHuvUA3iSZkE1hEf2xozyYwmP6xwGzFSlXzWbrNYNBZIeJ +Wz5nmF0ripFk+6EVRrU8hEg2hVX0R0Uwhdf0D8sVqVLNYOs1gklkh4VbLmeY +ZSuKiWT7nVIc1foP7cI0LKI/aoIpnKZ/GK5InWr6Wy+GdobtB9dgjFnViMRg +aZhhK4rZACuPajWhZZiGRfRHRTCF1/QPuxWpVE1960XQ0LD9y2sxxoxqRCIw +NcywFcVugBVHtZrumJZhGhbRH1XBFD7TP1RX9BgqVVPfetdoa1jQZozp1YgA +zDCzVhS7AVYc1bIDPpsCN5jSdP8ApH8orYjXABAPhkG7hTDDNPCoZFUjAT6b +AjmY4gBA+ofOingNAPFgGLhbADNMAc9KVjMS8LMpEIMpDrwo/eMAnGovSv+A +c+vAu2YYqGQXcJBNAR1MccB/+scBB6pdwIdh6G69YoahS3YJ1GwK6GCKA/7T +Pw44UE0GsGHobr1ihqFLdgnYbArkYIoDL0j/OICvmgxkw8DdescMA5dMG8ym +sAYNswYNswYNUwazKaxBw6xBw6xBw9TBbApr0DBr0DBr0DCCIAjClH8BxALu +Tg== "], {{0, 54}, {467, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -697,7 +698,7 @@ g4ZZg4ZZg4Ypg9kU1qBh1qBh1qBh6mA2hTVomDVomDVoGEEQBGHKv+Zq7iY= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[9]=", - CellID->551636363] + CellID->91091737] }, Open ]], Cell["\<\ @@ -1428,7 +1429,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCSetDiracGammaScheme", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1440,7 +1441,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 10.479595}", + "built" -> "{2020, 6, 20, 19, 6, 19.974714}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1462,8 +1463,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1473,22 +1473,22 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[9400, 259, 386, 15, 31, "PrimaryExamplesSection", + Cell[9402, 259, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->82917860]}, + CellID->1187084404]}, "RasterizedOutput"->{ - Cell[15402, 508, 4650, 84, 94, "Output", + Cell[15419, 509, 4650, 84, 94, "Output", CellTags->"RasterizedOutput", - CellID->1048714447], - Cell[20895, 628, 3820, 71, 75, "Output", + CellID->1038320327], + Cell[20912, 629, 3823, 71, 75, "Output", CellTags->"RasterizedOutput", - CellID->551636363]} + CellID->91091737]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 45971, 1474}, - {"RasterizedOutput", 46113, 1478} + {"PrimaryExamplesSection", 45936, 1474}, + {"RasterizedOutput", 46080, 1478} } *) (*NotebookFileOutline @@ -1500,135 +1500,135 @@ Cell[CellGroupData[{ Cell[4098, 114, 656, 17, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4779, 135, 737, 24, 31, "NotesSection", +Cell[4779, 135, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->36733847], -Cell[5519, 161, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5553, 163, 71, 1, 70, "Notes", + CellID->1223196223], +Cell[5521, 161, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5555, 163, 71, 1, 70, "Notes", CellID->1067943069], -Cell[5627, 166, 919, 21, 70, "Notes", +Cell[5629, 166, 919, 21, 70, "Notes", CellID->190401776], -Cell[6549, 189, 257, 7, 70, "Notes", +Cell[6551, 189, 257, 7, 70, "Notes", CellID->1784502655], -Cell[6809, 198, 421, 9, 70, "Notes", +Cell[6811, 198, 421, 9, 70, "Notes", CellID->665441283], -Cell[7233, 209, 799, 19, 70, "Notes", +Cell[7235, 209, 799, 19, 70, "Notes", CellID->2003509557], -Cell[8035, 230, 1316, 23, 70, "Notes", +Cell[8037, 230, 1316, 23, 70, "Notes", CellID->93561036] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[9400, 259, 386, 15, 31, "PrimaryExamplesSection", +Cell[9402, 259, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->82917860], + CellID->1187084404], Cell[CellGroupData[{ -Cell[9811, 278, 194, 6, 26, "ExampleSection", - CellID->32234158], +Cell[9815, 278, 196, 6, 26, "ExampleSection", + CellID->1196363630], Cell[CellGroupData[{ -Cell[10030, 288, 128, 3, 27, "Input", +Cell[10036, 288, 128, 3, 27, "Input", CellID->1948773281], -Cell[10161, 293, 197, 6, 35, "Output", +Cell[10167, 293, 197, 6, 35, "Output", CellID->1851033209] }, Open ]], Cell[CellGroupData[{ -Cell[10395, 304, 250, 7, 27, "Input", +Cell[10401, 304, 250, 7, 27, "Input", CellID->98306849], -Cell[10648, 313, 1454, 58, 43, "Output", +Cell[10654, 313, 1454, 58, 43, "Output", CellID->319736968] }, Open ]], -Cell[12117, 374, 122, 3, 35, "ExampleText", +Cell[12123, 374, 122, 3, 35, "ExampleText", CellID->1475497628], Cell[CellGroupData[{ -Cell[12264, 381, 109, 3, 27, "Input", +Cell[12270, 381, 109, 3, 27, "Input", CellID->933234494], -Cell[12376, 386, 1155, 44, 43, "Output", +Cell[12382, 386, 1155, 44, 43, "Output", CellID->1219913945] }, Open ]], Cell[CellGroupData[{ -Cell[13568, 435, 133, 3, 27, "Input", +Cell[13574, 435, 138, 4, 27, "Input", CellID->1854871493], -Cell[13704, 440, 201, 6, 37, "Output", +Cell[13715, 441, 204, 6, 35, "Output", CellID->771760149] }, Open ]], -Cell[13920, 449, 141, 4, 36, "ExampleText", +Cell[13934, 450, 144, 4, 52, "ExampleText", CellID->2003592022], Cell[CellGroupData[{ -Cell[14086, 457, 295, 8, 27, "Input", +Cell[14103, 458, 295, 8, 27, "Input", CellID->415066987], -Cell[14384, 467, 187, 6, 35, "Output", +Cell[14401, 468, 187, 6, 35, "Output", CellID->2065197167] }, Open ]], Cell[CellGroupData[{ -Cell[14608, 478, 129, 3, 27, "Input", +Cell[14625, 479, 129, 3, 27, "Input", CellID->1400459732], -Cell[14740, 483, 197, 6, 35, "Output", +Cell[14757, 484, 197, 6, 35, "Output", CellID->153708414] }, Open ]], -Cell[14952, 492, 95, 1, 36, "ExampleText", +Cell[14969, 493, 95, 1, 36, "ExampleText", CellID->204593488], Cell[CellGroupData[{ -Cell[15072, 497, 327, 9, 27, "Input", +Cell[15089, 498, 327, 9, 27, "Input", CellID->1352029659], -Cell[15402, 508, 4650, 84, 94, "Output", +Cell[15419, 509, 4650, 84, 94, "Output", CellTags->"RasterizedOutput", - CellID->1048714447] + CellID->1038320327] }, Open ]], Cell[CellGroupData[{ -Cell[20089, 597, 129, 3, 27, "Input", +Cell[20106, 598, 129, 3, 27, "Input", CellID->969077787], -Cell[20221, 602, 199, 6, 35, "Output", +Cell[20238, 603, 199, 6, 35, "Output", CellID->1981877909] }, Open ]], -Cell[20435, 611, 105, 2, 36, "ExampleText", +Cell[20452, 612, 105, 2, 36, "ExampleText", CellID->1939646369], Cell[CellGroupData[{ -Cell[20565, 617, 327, 9, 27, "Input", +Cell[20582, 618, 327, 9, 27, "Input", CellID->1886065691], -Cell[20895, 628, 3820, 71, 75, "Output", +Cell[20912, 629, 3823, 71, 75, "Output", CellTags->"RasterizedOutput", - CellID->551636363] + CellID->91091737] }, Open ]], -Cell[24730, 702, 209, 4, 53, "ExampleText", +Cell[24750, 703, 209, 4, 53, "ExampleText", CellID->958789175], Cell[CellGroupData[{ -Cell[24964, 710, 194, 6, 27, "Input", +Cell[24984, 711, 194, 6, 27, "Input", CellID->1406824487], -Cell[25161, 718, 3880, 158, 56, "Output", +Cell[25181, 719, 3880, 158, 56, "Output", CellID->981092168] }, Open ]], Cell[CellGroupData[{ -Cell[29078, 881, 670, 21, 62, "Input", +Cell[29098, 882, 670, 21, 62, "Input", CellID->1776546156], -Cell[29751, 904, 4976, 198, 75, "Output", +Cell[29771, 905, 4976, 198, 75, "Output", CellID->8901553], Cell[CellGroupData[{ -Cell[34752, 1106, 7004, 232, 81, "Print", +Cell[34772, 1107, 7004, 232, 81, "Print", CellID->1870797322], -Cell[41759, 1340, 392, 10, 24, "Print", +Cell[41779, 1341, 392, 10, 24, "Print", CellID->2083320504], -Cell[42154, 1352, 350, 8, 24, "Print", +Cell[42174, 1353, 350, 8, 24, "Print", CellID->353050808] }, Open ]], -Cell[42519, 1363, 188, 6, 35, "Output", +Cell[42539, 1364, 188, 6, 35, "Output", CellID->2075390810] }, Open ]], Cell[CellGroupData[{ -Cell[42744, 1374, 128, 3, 27, "Input", +Cell[42764, 1375, 128, 3, 27, "Input", CellID->692469312], -Cell[42875, 1379, 198, 6, 35, "Output", +Cell[42895, 1380, 198, 6, 35, "Output", CellID->1788510841] }, Open ]] }, Open ]], -Cell[43100, 1389, 31, 0, 29, "SectionFooterSpacer"] +Cell[43120, 1390, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[43168, 1394, 270, 12, 31, "SeeAlsoSection", +Cell[43188, 1395, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[43441, 1408, 411, 14, 56, "SeeAlso", +Cell[43461, 1409, 411, 14, 56, "SeeAlso", CellID->830480392] }, Open ]], -Cell[43867, 1425, 23, 0, 41, "FooterCell"] +Cell[43887, 1426, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetMetricSignature.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetMetricSignature.nb index b25e4647e..1a0dc6fc7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetMetricSignature.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetMetricSignature.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11618, 399] +NotebookDataLength[ 11561, 398] NotebookOptionsPosition[ 8362, 305] -NotebookOutlinePosition[ 10670, 364] -CellTagsIndexPosition[ 10585, 359] +NotebookOutlinePosition[ 10613, 363] +CellTagsIndexPosition[ 10528, 358] WindowTitle->FCSetMetricSignature WindowFrame->Normal*) @@ -79,7 +79,7 @@ FCSetMetricSignature.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$124500], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$125508], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCSetMetricSignature", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->190415998], + CellID->866742111], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1133341347], + CellID->1867505532], Cell[BoxData[ RowBox[{"FCSetMetricSignature", "[", @@ -318,7 +318,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 11.692516}", + "built" -> "{2020, 6, 20, 19, 6, 21.095311}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -340,8 +340,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -353,12 +352,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4543, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->190415998]} + CellID->866742111]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10442, 352} + {"PrimaryExamplesSection", 10385, 351} } *) (*NotebookFileOutline @@ -371,10 +370,10 @@ Cell[3970, 110, 548, 13, 119, "Usage", Cell[CellGroupData[{ Cell[4543, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->190415998], + CellID->866742111], Cell[CellGroupData[{ Cell[4955, 146, 196, 6, 26, "ExampleSection", - CellID->1133341347], + CellID->1867505532], Cell[5154, 154, 183, 6, 27, "Input", CellID->529155880], Cell[CellGroupData[{ diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetPauliSigmaScheme.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetPauliSigmaScheme.nb index 196b1f426..9c79a28d0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetPauliSigmaScheme.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSetPauliSigmaScheme.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21124, 709] -NotebookOptionsPosition[ 16737, 571] -NotebookOutlinePosition[ 19065, 633] -CellTagsIndexPosition[ 18945, 627] +NotebookDataLength[ 21071, 708] +NotebookOptionsPosition[ 16738, 571] +NotebookOutlinePosition[ 19011, 632] +CellTagsIndexPosition[ 18891, 626] WindowTitle->FCSetPauliSigmaScheme WindowFrame->Normal*) @@ -81,7 +81,7 @@ FCSetPauliSigmaScheme.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$124939], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$125947], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCSetPauliSigmaScheme", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->598221700], + CellID->1165774624], Cell["", "SectionHeaderSpacer"], @@ -234,7 +234,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1353491598], + CellID->2140870251], Cell[CellGroupData[{ @@ -244,7 +244,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1634626631], + CellID->1197891786], Cell[CellGroupData[{ @@ -480,7 +480,7 @@ e+3g8w5yujhgqp5xcHBwcHBwcHBwpI//AUDM91w= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[6]=", - CellID->1701277177] + CellID->1160343031] }, Open ]], Cell[CellGroupData[{ @@ -572,7 +572,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCSetPauliSigmaScheme", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -584,7 +584,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 12.813072}", + "built" -> "{2020, 6, 20, 19, 6, 22.120037}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -604,8 +604,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -615,19 +614,19 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7032, 221, 388, 15, 31, "PrimaryExamplesSection", + Cell[7033, 221, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1353491598]}, + CellID->2140870251]}, "RasterizedOutput"->{ - Cell[11532, 423, 3129, 59, 40, "Output", + Cell[11533, 423, 3129, 59, 40, "Output", CellTags->"RasterizedOutput", - CellID->1701277177]} + CellID->1160343031]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 18677, 616}, - {"RasterizedOutput", 18821, 620} + {"PrimaryExamplesSection", 18623, 615}, + {"RasterizedOutput", 18767, 619} } *) (*NotebookFileOutline @@ -639,78 +638,78 @@ Cell[CellGroupData[{ Cell[4098, 114, 519, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4642, 134, 738, 24, 31, "NotesSection", +Cell[4642, 134, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->598221700], -Cell[5383, 160, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5417, 162, 280, 8, 70, "Notes", + CellID->1165774624], +Cell[5384, 160, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5418, 162, 280, 8, 49, "Notes", CellID->108611295], -Cell[5700, 172, 70, 1, 70, "Notes", +Cell[5701, 172, 70, 1, 32, "Notes", CellID->1537905166], -Cell[5773, 175, 233, 7, 70, "Notes", +Cell[5774, 175, 233, 7, 48, "Notes", CellID->1063338329], -Cell[6009, 184, 974, 31, 70, "Notes", +Cell[6010, 184, 974, 31, 83, "Notes", CellID->848562608] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7032, 221, 388, 15, 31, "PrimaryExamplesSection", +Cell[7033, 221, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1353491598], + CellID->2140870251], Cell[CellGroupData[{ -Cell[7445, 240, 196, 6, 26, "ExampleSection", - CellID->1634626631], +Cell[7446, 240, 196, 6, 26, "ExampleSection", + CellID->1197891786], Cell[CellGroupData[{ -Cell[7666, 250, 113, 3, 27, "Input", +Cell[7667, 250, 113, 3, 27, "Input", CellID->1875419531], -Cell[7782, 255, 196, 6, 35, "Output", +Cell[7783, 255, 196, 6, 35, "Output", CellID->20101800] }, Open ]], Cell[CellGroupData[{ -Cell[8015, 266, 133, 4, 27, "Input", +Cell[8016, 266, 133, 4, 27, "Input", CellID->179609494], -Cell[8151, 272, 1219, 52, 39, "Output", +Cell[8152, 272, 1219, 52, 39, "Output", CellID->3552359] }, Open ]], Cell[CellGroupData[{ -Cell[9407, 329, 220, 7, 27, "Input", +Cell[9408, 329, 220, 7, 27, "Input", CellID->1706373353], -Cell[9630, 338, 1081, 46, 39, "Output", +Cell[9631, 338, 1081, 46, 39, "Output", CellID->2061667095] }, Open ]], -Cell[10726, 387, 150, 5, 27, "Input", +Cell[10727, 387, 150, 5, 27, "Input", CellID->320749020], Cell[CellGroupData[{ -Cell[10901, 396, 112, 3, 27, "Input", +Cell[10902, 396, 112, 3, 27, "Input", CellID->504297775], -Cell[11016, 401, 198, 6, 35, "Output", +Cell[11017, 401, 198, 6, 35, "Output", CellID->773704112] }, Open ]], Cell[CellGroupData[{ -Cell[11251, 412, 278, 9, 27, "Input", +Cell[11252, 412, 278, 9, 27, "Input", CellID->1542692665], -Cell[11532, 423, 3129, 59, 40, "Output", +Cell[11533, 423, 3129, 59, 40, "Output", CellTags->"RasterizedOutput", - CellID->1701277177] + CellID->1160343031] }, Open ]], Cell[CellGroupData[{ -Cell[14698, 487, 131, 4, 27, "Input", +Cell[14699, 487, 131, 4, 27, "Input", CellID->1864890408], -Cell[14832, 493, 932, 29, 69, "Output", +Cell[14833, 493, 932, 29, 69, "Output", CellID->915050494] }, Open ]], -Cell[15779, 525, 149, 5, 70, "Input", +Cell[15780, 525, 149, 5, 70, "Input", CellID->1277991442] }, Open ]], -Cell[15943, 533, 31, 0, 70, "SectionFooterSpacer"] +Cell[15944, 533, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[16011, 538, 270, 12, 70, "SeeAlsoSection", +Cell[16012, 538, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[16284, 552, 411, 14, 70, "SeeAlso", +Cell[16285, 552, 411, 14, 70, "SeeAlso", CellID->655647701] }, Open ]], -Cell[16710, 569, 23, 0, 70, "FooterCell"] +Cell[16711, 569, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCShowEpsilon.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCShowEpsilon.nb index f7fe22b1e..504f5d38e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCShowEpsilon.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCShowEpsilon.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12573, 447] -NotebookOptionsPosition[ 8862, 328] -NotebookOutlinePosition[ 10974, 385] -CellTagsIndexPosition[ 10889, 380] +NotebookDataLength[ 12513, 446] +NotebookOptionsPosition[ 8861, 328] +NotebookOutlinePosition[ 10915, 384] +CellTagsIndexPosition[ 10830, 379] WindowTitle->FCShowEpsilon WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCShowEpsilon.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$125379], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$126387], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCShowEpsilon", ".html"]], None}]}]}, @@ -137,7 +137,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1794624197], + CellID->1310726639], Cell["", "SectionHeaderSpacer"], @@ -190,7 +190,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1998657009], + CellID->239843556], Cell[CellGroupData[{ @@ -200,7 +200,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1102064615], + CellID->1208258264], Cell[CellGroupData[{ @@ -328,8 +328,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCShowEpsilon", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -341,7 +341,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 14.042713}", + "built" -> "{2020, 6, 20, 19, 6, 23.199425}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -361,8 +361,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -372,14 +371,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5436, 177, 388, 15, 31, "PrimaryExamplesSection", + Cell[5436, 177, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1998657009]} + CellID->239843556]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10745, 373} + {"PrimaryExamplesSection", 10687, 372} } *) (*NotebookFileOutline @@ -393,7 +392,7 @@ Cell[3197, 91, 667, 20, 85, "Usage", Cell[CellGroupData[{ Cell[3889, 115, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1794624197], + CellID->1310726639], Cell[4631, 141, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4687, 145, 116, 3, 70, "Input", @@ -404,51 +403,51 @@ Cell[4806, 150, 569, 20, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5436, 177, 388, 15, 31, "PrimaryExamplesSection", +Cell[5436, 177, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1998657009], + CellID->239843556], Cell[CellGroupData[{ -Cell[5849, 196, 196, 6, 26, "ExampleSection", - CellID->1102064615], +Cell[5848, 196, 196, 6, 26, "ExampleSection", + CellID->1208258264], Cell[CellGroupData[{ -Cell[6070, 206, 109, 3, 27, "Input", +Cell[6069, 206, 109, 3, 27, "Input", CellID->7187582], -Cell[6182, 211, 209, 6, 35, "Output", +Cell[6181, 211, 209, 6, 35, "Output", CellID->1703461368] }, Open ]], Cell[CellGroupData[{ -Cell[6428, 222, 109, 3, 27, "Input", +Cell[6427, 222, 109, 3, 27, "Input", CellID->513597549], -Cell[6540, 227, 408, 14, 56, "Output", +Cell[6539, 227, 408, 14, 56, "Output", CellID->1973382540] }, Open ]], Cell[CellGroupData[{ -Cell[6985, 246, 115, 3, 29, "Input", +Cell[6984, 246, 115, 3, 29, "Input", CellID->1778637406], -Cell[7103, 251, 224, 7, 37, "Output", +Cell[7102, 251, 224, 7, 37, "Output", CellID->1406308911] }, Open ]], Cell[CellGroupData[{ -Cell[7364, 263, 108, 3, 27, "Input", +Cell[7363, 263, 108, 3, 27, "Input", CellID->41298138], -Cell[7475, 268, 397, 13, 59, "Output", +Cell[7474, 268, 397, 13, 59, "Output", CellID->419170546] }, Open ]], Cell[CellGroupData[{ -Cell[7909, 286, 114, 3, 29, "Input", +Cell[7908, 286, 114, 3, 29, "Input", CellID->905775658], -Cell[8026, 291, 224, 7, 37, "Output", +Cell[8025, 291, 224, 7, 37, "Output", CellID->1448932438] }, Open ]], Cell[CellGroupData[{ -Cell[8287, 303, 109, 3, 27, "Input", +Cell[8286, 303, 109, 3, 27, "Input", CellID->912335152], -Cell[8399, 308, 397, 13, 59, "Output", +Cell[8398, 308, 397, 13, 59, "Output", CellID->731912798] }, Open ]] }, Open ]] }, Open ]], -Cell[8835, 326, 23, 0, 41, "FooterCell"] +Cell[8834, 326, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCShowReferenceCard.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCShowReferenceCard.nb index 2672bf30e..8d6bb42ca 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCShowReferenceCard.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCShowReferenceCard.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 26956, 791] -NotebookOptionsPosition[ 24052, 708] -NotebookOutlinePosition[ 26335, 767] -CellTagsIndexPosition[ 26250, 762] +NotebookDataLength[ 26899, 790] +NotebookOptionsPosition[ 24051, 708] +NotebookOutlinePosition[ 26279, 766] +CellTagsIndexPosition[ 26194, 761] WindowTitle->FCShowReferenceCard WindowFrame->Normal*) @@ -59,7 +59,7 @@ FCShowReferenceCard.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$125859], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$126867], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCShowReferenceCard", ".html"]], None}]}]}, @@ -122,7 +122,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1975462649], + CellID->1817511794], Cell[CellGroupData[{ @@ -132,7 +132,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1988498291], + CellID->682357098], Cell[CellGroupData[{ @@ -709,7 +709,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCShowReferenceCard", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -721,7 +721,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 15.249327}", + "built" -> "{2020, 6, 20, 19, 6, 24.227010}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -743,8 +743,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -756,12 +755,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3858, 109, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1975462649]} + CellID->1817511794]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 26106, 755} + {"PrimaryExamplesSection", 26050, 754} } *) (*NotebookFileOutline @@ -769,30 +768,30 @@ Notebook[{ Cell[591, 21, 2318, 53, 53, "AnchorBarGrid", CellID->1], Cell[2912, 76, 296, 11, 45, "ObjectNameGrid"], -Cell[3211, 89, 622, 16, 134, "Usage", +Cell[3211, 89, 622, 16, 135, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[3858, 109, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1975462649], + CellID->1817511794], Cell[CellGroupData[{ -Cell[4271, 128, 196, 6, 26, "ExampleSection", - CellID->1988498291], +Cell[4271, 128, 195, 6, 26, "ExampleSection", + CellID->682357098], Cell[CellGroupData[{ -Cell[4492, 138, 110, 3, 27, "Input", +Cell[4491, 138, 110, 3, 27, "Input", CellID->883455219], -Cell[4605, 143, 678, 20, 37, "Output", +Cell[4604, 143, 678, 20, 37, "Output", CellID->1406122714] }, Open ]], Cell[CellGroupData[{ -Cell[5320, 168, 153, 4, 27, "Input", +Cell[5319, 168, 153, 4, 27, "Input", CellID->398948618], -Cell[5476, 174, 18510, 527, 740, "Print", +Cell[5475, 174, 18510, 527, 740, "Print", CellID->1009590126] }, Open ]] }, Open ]] }, Open ]], -Cell[24025, 706, 23, 0, 70, "FooterCell"] +Cell[24024, 706, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSplit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSplit.nb index 8398ec787..32ab6b69f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSplit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSplit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10500, 352] -NotebookOptionsPosition[ 7197, 255] -NotebookOutlinePosition[ 9507, 314] -CellTagsIndexPosition[ 9423, 309] +NotebookDataLength[ 10445, 351] +NotebookOptionsPosition[ 7198, 255] +NotebookOutlinePosition[ 9451, 313] +CellTagsIndexPosition[ 9367, 308] WindowTitle->FCSplit WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$126287], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$127295], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCSplit", ".html"]], None}]}]}, @@ -135,7 +135,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->855887565], + CellID->2027175993], Cell["", "SectionHeaderSpacer"], @@ -177,7 +177,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2024249960], + CellID->1702993599], Cell[CellGroupData[{ @@ -187,7 +187,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->441003340], + CellID->359754168], Cell[CellGroupData[{ @@ -256,7 +256,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCSplit", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -268,7 +268,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 16.610772}", + "built" -> "{2020, 6, 20, 19, 6, 25.399695}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -290,8 +290,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -301,14 +300,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5140, 164, 388, 15, 31, "PrimaryExamplesSection", + Cell[5141, 164, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2024249960]} + CellID->1702993599]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9279, 302} + {"PrimaryExamplesSection", 9223, 301} } *) (*NotebookFileOutline @@ -320,40 +319,40 @@ Cell[CellGroupData[{ Cell[3160, 91, 727, 18, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3912, 113, 738, 24, 31, "NotesSection", +Cell[3912, 113, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->855887565], -Cell[4653, 139, 31, 0, 70, "SectionHeaderSpacer"], + CellID->2027175993], +Cell[4654, 139, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4709, 143, 111, 3, 70, "Input", +Cell[4710, 143, 111, 3, 70, "Input", CellID->516520341], -Cell[4823, 148, 256, 9, 37, "Output", +Cell[4824, 148, 256, 9, 37, "Output", CellID->791302016] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5140, 164, 388, 15, 31, "PrimaryExamplesSection", +Cell[5141, 164, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2024249960], + CellID->1702993599], Cell[CellGroupData[{ -Cell[5553, 183, 195, 6, 26, "ExampleSection", - CellID->441003340], +Cell[5554, 183, 195, 6, 26, "ExampleSection", + CellID->359754168], Cell[CellGroupData[{ -Cell[5773, 193, 226, 8, 27, "Input", +Cell[5774, 193, 226, 8, 27, "Input", CellID->1633798001], -Cell[6002, 203, 351, 13, 42, "Output", +Cell[6003, 203, 351, 13, 42, "Output", CellID->1044001596] }, Open ]], Cell[CellGroupData[{ -Cell[6390, 221, 259, 9, 27, "Input", +Cell[6391, 221, 259, 9, 27, "Input", CellID->25854671], -Cell[6652, 232, 479, 16, 42, "Output", +Cell[6653, 232, 479, 16, 42, "Output", CellID->803702257] }, Open ]] }, Open ]] }, Open ]], -Cell[7170, 253, 23, 0, 41, "FooterCell"] +Cell[7171, 253, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSubsetQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSubsetQ.nb index 3dae5e08f..29b8b91c1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSubsetQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSubsetQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8334, 264] +NotebookDataLength[ 8277, 263] NotebookOptionsPosition[ 5430, 181] -NotebookOutlinePosition[ 7721, 240] -CellTagsIndexPosition[ 7637, 235] +NotebookOutlinePosition[ 7664, 239] +CellTagsIndexPosition[ 7580, 234] WindowTitle->FCSubsetQ WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$126716], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$127724], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCSubsetQ", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->579196669], + CellID->972295424], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2073784806], + CellID->2086026146], Cell[CellGroupData[{ @@ -194,7 +194,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 17.612233}", + "built" -> "{2020, 6, 20, 19, 6, 26.400955}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -216,8 +216,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -229,12 +228,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3806, 108, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->579196669]} + CellID->972295424]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7494, 228} + {"PrimaryExamplesSection", 7437, 227} } *) (*NotebookFileOutline @@ -247,10 +246,10 @@ Cell[3150, 89, 631, 15, 119, "Usage", Cell[CellGroupData[{ Cell[3806, 108, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->579196669], + CellID->972295424], Cell[CellGroupData[{ Cell[4218, 127, 196, 6, 26, "ExampleSection", - CellID->2073784806], + CellID->2086026146], Cell[CellGroupData[{ Cell[4439, 137, 256, 8, 27, "Input", CellID->798961655], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSymmetrize.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSymmetrize.nb index 533ecbb3d..3186ae027 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSymmetrize.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCSymmetrize.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10779, 359] -NotebookOptionsPosition[ 7437, 258] -NotebookOutlinePosition[ 9912, 327] -CellTagsIndexPosition[ 9800, 321] +NotebookDataLength[ 10722, 358] +NotebookOptionsPosition[ 7438, 258] +NotebookOutlinePosition[ 9854, 326] +CellTagsIndexPosition[ 9742, 320] WindowTitle->FCSymmetrize WindowFrame->Normal*) @@ -79,7 +79,7 @@ FCSymmetrize.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$127145], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$128153], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCSymmetrize", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->118210830], + CellID->1960560737], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->753929777], + CellID->572499190], Cell[CellGroupData[{ @@ -259,7 +259,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"FCSymmetrize", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -271,7 +271,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 18.649750}", + "built" -> "{2020, 6, 20, 19, 6, 27.315306}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -291,8 +291,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -302,26 +301,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4463, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4463, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->118210830]}, + CellID->1960560737]}, "Symmetrize"->{ - Cell[5095, 159, 259, 9, 27, "Input", + Cell[5096, 159, 259, 9, 27, "Input", CellTags->"Symmetrize", CellID->848650980], - Cell[5357, 170, 402, 14, 56, "Output", + Cell[5358, 170, 402, 14, 56, "Output", CellTags->"Symmetrize"], - Cell[5796, 189, 280, 9, 27, "Input", + Cell[5797, 189, 280, 9, 27, "Input", CellTags->"Symmetrize", CellID->1287424961], - Cell[6079, 200, 737, 23, 56, "Output", + Cell[6080, 200, 737, 23, 56, "Output", CellTags->"Symmetrize"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9322, 303}, - {"Symmetrize", 9459, 307} + {"PrimaryExamplesSection", 9263, 302}, + {"Symmetrize", 9401, 306} } *) (*NotebookFileOutline @@ -332,35 +331,35 @@ Cell[3622, 97, 289, 11, 45, "ObjectNameGrid"], Cell[3914, 110, 524, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4463, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4463, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->118210830], + CellID->1960560737], Cell[CellGroupData[{ -Cell[4875, 149, 195, 6, 26, "ExampleSection", - CellID->753929777], +Cell[4876, 149, 195, 6, 26, "ExampleSection", + CellID->572499190], Cell[CellGroupData[{ -Cell[5095, 159, 259, 9, 27, "Input", +Cell[5096, 159, 259, 9, 27, "Input", CellTags->"Symmetrize", CellID->848650980], -Cell[5357, 170, 402, 14, 56, "Output", +Cell[5358, 170, 402, 14, 56, "Output", CellTags->"Symmetrize"] }, Open ]], Cell[CellGroupData[{ -Cell[5796, 189, 280, 9, 27, "Input", +Cell[5797, 189, 280, 9, 27, "Input", CellTags->"Symmetrize", CellID->1287424961], -Cell[6079, 200, 737, 23, 56, "Output", +Cell[6080, 200, 737, 23, 56, "Output", CellTags->"Symmetrize"] }, Open ]] }, Open ]], -Cell[6843, 227, 31, 0, 29, "SectionFooterSpacer"] +Cell[6844, 227, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6911, 232, 270, 12, 31, "SeeAlsoSection", +Cell[6912, 232, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7184, 246, 211, 7, 56, "SeeAlso"] +Cell[7185, 246, 211, 7, 56, "SeeAlso"] }, Open ]], -Cell[7410, 256, 23, 0, 41, "FooterCell"] +Cell[7411, 256, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTopology.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTopology.nb index b2d9d3521..6821991f2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTopology.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTopology.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16894, 495] -NotebookOptionsPosition[ 13870, 408] -NotebookOutlinePosition[ 16159, 467] -CellTagsIndexPosition[ 16074, 462] +NotebookDataLength[ 16843, 494] +NotebookOptionsPosition[ 13872, 408] +NotebookOutlinePosition[ 16106, 466] +CellTagsIndexPosition[ 16021, 461] WindowTitle->FCTopology WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$127582], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$128590], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCTopology", ".html"]], None}]}]}, @@ -124,7 +124,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->10687640], + CellID->1448920176], Cell[CellGroupData[{ @@ -134,7 +134,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1423261979], + CellID->1648616447], Cell["A 2-loop topology with one external momentum Q", "Notes", CellID->61003118], @@ -408,8 +408,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCTopology", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -421,7 +421,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 19.742508}", + "built" -> "{2020, 6, 20, 19, 6, 28.219423}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -443,8 +443,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -454,14 +453,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3873, 111, 386, 15, 31, "PrimaryExamplesSection", + Cell[3873, 111, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->10687640]} + CellID->1448920176]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15932, 455} + {"PrimaryExamplesSection", 15877, 454} } *) (*NotebookFileOutline @@ -472,31 +471,31 @@ Cell[2866, 76, 287, 11, 45, "ObjectNameGrid"], Cell[3156, 89, 692, 18, 118, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3873, 111, 386, 15, 31, "PrimaryExamplesSection", +Cell[3873, 111, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->10687640], + CellID->1448920176], Cell[CellGroupData[{ -Cell[4284, 130, 196, 6, 26, "ExampleSection", - CellID->1423261979], -Cell[4483, 138, 82, 1, 32, "Notes", +Cell[4286, 130, 196, 6, 26, "ExampleSection", + CellID->1648616447], +Cell[4485, 138, 82, 1, 32, "Notes", CellID->61003118], Cell[CellGroupData[{ -Cell[4590, 143, 479, 14, 45, "Input", +Cell[4592, 143, 479, 14, 45, "Input", CellID->118610951], -Cell[5072, 159, 2789, 76, 108, "Output", +Cell[5074, 159, 2789, 76, 108, "Output", CellID->1251398012] }, Open ]], -Cell[7876, 238, 83, 1, 32, "Notes", +Cell[7878, 238, 83, 1, 32, "Notes", CellID->775051570], Cell[CellGroupData[{ -Cell[7984, 243, 765, 21, 62, "Input", +Cell[7986, 243, 765, 21, 62, "Input", CellID->1727195996], -Cell[8752, 266, 5052, 135, 155, "Output", +Cell[8754, 266, 5052, 135, 155, "Output", CellID->98652862] }, Open ]] }, Open ]] }, Open ]], -Cell[13843, 406, 23, 0, 70, "FooterCell"] +Cell[13845, 406, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTraceExpand.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTraceExpand.nb index ad89bddb8..0cbfd0f41 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTraceExpand.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTraceExpand.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 31459, 1157] -NotebookOptionsPosition[ 27014, 1016] -NotebookOutlinePosition[ 29178, 1074] -CellTagsIndexPosition[ 29092, 1069] +NotebookDataLength[ 31396, 1156] +NotebookOptionsPosition[ 27011, 1016] +NotebookOutlinePosition[ 29118, 1073] +CellTagsIndexPosition[ 29032, 1068] WindowTitle->FCTraceExpand WindowFrame->Normal*) @@ -80,7 +80,7 @@ FCTraceExpand.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$128030], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$129038], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCTraceExpand", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1546772099], + CellID->79362270], Cell["", "SectionHeaderSpacer"], @@ -205,7 +205,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->742136174], + CellID->231396513], Cell[CellGroupData[{ @@ -215,7 +215,7 @@ Cell[TextData[{ Cell["(3)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->496097389], + CellID->22608035], Cell[CellGroupData[{ @@ -1017,7 +1017,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCTraceExpand", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1029,7 +1029,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 20.737135}", + "built" -> "{2020, 6, 20, 19, 6, 29.253945}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1050,8 +1050,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1061,14 +1060,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6304, 192, 387, 15, 31, "PrimaryExamplesSection", + Cell[6302, 192, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->742136174]} + CellID->231396513]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 28949, 1062} + {"PrimaryExamplesSection", 28889, 1061} } *) (*NotebookFileOutline @@ -1080,85 +1079,85 @@ Cell[CellGroupData[{ Cell[4016, 113, 537, 16, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4578, 133, 739, 24, 31, "NotesSection", +Cell[4578, 133, 737, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1546772099], -Cell[5320, 159, 31, 0, 70, "SectionHeaderSpacer"], + CellID->79362270], +Cell[5318, 159, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5376, 163, 97, 2, 70, "Input"], -Cell[5476, 167, 767, 18, 75, "Output"] +Cell[5374, 163, 97, 2, 70, "Input"], +Cell[5474, 167, 767, 18, 75, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6304, 192, 387, 15, 31, "PrimaryExamplesSection", +Cell[6302, 192, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->742136174], + CellID->231396513], Cell[CellGroupData[{ -Cell[6716, 211, 195, 6, 26, "ExampleSection", - CellID->496097389], +Cell[6714, 211, 194, 6, 26, "ExampleSection", + CellID->22608035], Cell[CellGroupData[{ -Cell[6936, 221, 460, 14, 27, "Input", +Cell[6933, 221, 460, 14, 27, "Input", CellID->55860621], -Cell[7399, 237, 1533, 56, 42, "Output"] +Cell[7396, 237, 1533, 56, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8969, 298, 109, 3, 27, "Input", +Cell[8966, 298, 109, 3, 27, "Input", CellID->502042032], -Cell[9081, 303, 3669, 133, 64, "Output"] +Cell[9078, 303, 3669, 133, 64, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12787, 441, 177, 5, 27, "Input", +Cell[12784, 441, 177, 5, 27, "Input", CellID->611074974], -Cell[12967, 448, 1387, 50, 42, "Output"] +Cell[12964, 448, 1387, 50, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[14391, 503, 178, 5, 27, "Input", +Cell[14388, 503, 178, 5, 27, "Input", CellID->1030948092], -Cell[14572, 510, 1293, 46, 42, "Output"] +Cell[14569, 510, 1293, 46, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[15902, 561, 105, 2, 9, "ExampleDelimiter"], +Cell[15899, 561, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[16032, 567, 606, 19, 45, "Input", +Cell[16029, 567, 606, 19, 45, "Input", CellID->312665650], -Cell[16641, 588, 1924, 70, 42, "Output"] +Cell[16638, 588, 1924, 70, 42, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[18602, 663, 195, 6, 27, "Input", +Cell[18599, 663, 195, 6, 27, "Input", CellID->851121632], -Cell[18800, 671, 2178, 76, 42, "Output"] +Cell[18797, 671, 2178, 76, 42, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[21027, 753, 105, 2, 9, "ExampleDelimiter"], -Cell[21135, 757, 425, 13, 49, "Notes", +Cell[21024, 753, 105, 2, 9, "ExampleDelimiter"], +Cell[21132, 757, 425, 13, 49, "Notes", CellID->1671076290], Cell[CellGroupData[{ -Cell[21585, 774, 262, 8, 27, "Input", +Cell[21582, 774, 262, 8, 27, "Input", CellID->1858007214], -Cell[21850, 784, 1342, 56, 40, "Output"] +Cell[21847, 784, 1342, 56, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[23229, 845, 110, 3, 27, "Input", +Cell[23226, 845, 110, 3, 27, "Input", CellID->1593699893], -Cell[23342, 850, 1342, 56, 40, "Output"] +Cell[23339, 850, 1342, 56, 40, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[24721, 911, 174, 5, 27, "Input", +Cell[24718, 911, 174, 5, 27, "Input", CellID->805159379], -Cell[24898, 918, 1342, 56, 40, "Output"] +Cell[24895, 918, 1342, 56, 40, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[26279, 979, 31, 0, 29, "SectionFooterSpacer"] +Cell[26276, 979, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[26347, 984, 270, 12, 31, "SeeAlsoSection", +Cell[26344, 984, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[26620, 998, 352, 13, 56, "SeeAlso"] +Cell[26617, 998, 352, 13, 56, "SeeAlso"] }, Open ]], -Cell[26987, 1014, 23, 0, 41, "FooterCell"] +Cell[26984, 1014, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTraceFactor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTraceFactor.nb index 9fe48ebba..cf099c060 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTraceFactor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCTraceFactor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12039, 401] -NotebookOptionsPosition[ 8828, 307] -NotebookOutlinePosition[ 11002, 364] -CellTagsIndexPosition[ 10917, 359] +NotebookDataLength[ 12032, 401] +NotebookOptionsPosition[ 8825, 307] +NotebookOutlinePosition[ 10998, 364] +CellTagsIndexPosition[ 10913, 359] WindowTitle->FCTraceFactor WindowFrame->Normal*) @@ -80,7 +80,7 @@ FCTraceFactor.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$128478], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$129486], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCTraceFactor", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1694412650], + CellID->791522205], Cell["", "SectionHeaderSpacer"], @@ -194,7 +194,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1589549876], + CellID->594717692], Cell[CellGroupData[{ @@ -204,7 +204,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1786953722], + CellID->524813020], Cell["Pull constants out of the Dirac trace", "Notes", CellID->1912475528], @@ -320,7 +320,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 22.044482}", + "built" -> "{2020, 6, 20, 19, 6, 30.316765}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -351,14 +351,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5846, 181, 388, 15, 31, "PrimaryExamplesSection", + Cell[5845, 181, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1589549876]} + CellID->594717692]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10773, 352} + {"PrimaryExamplesSection", 10770, 352} } *) (*NotebookFileOutline @@ -370,39 +370,39 @@ Cell[CellGroupData[{ Cell[4016, 113, 527, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4568, 130, 739, 24, 31, "NotesSection", +Cell[4568, 130, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1694412650], -Cell[5310, 156, 31, 0, 70, "SectionHeaderSpacer"], + CellID->791522205], +Cell[5309, 156, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5366, 160, 97, 2, 70, "Input"], -Cell[5466, 164, 319, 10, 37, "Output"] +Cell[5365, 160, 97, 2, 70, "Input"], +Cell[5465, 164, 319, 10, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5846, 181, 388, 15, 31, "PrimaryExamplesSection", +Cell[5845, 181, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1589549876], + CellID->594717692], Cell[CellGroupData[{ -Cell[6259, 200, 196, 6, 26, "ExampleSection", - CellID->1786953722], -Cell[6458, 208, 75, 1, 32, "Notes", +Cell[6257, 200, 195, 6, 26, "ExampleSection", + CellID->524813020], +Cell[6455, 208, 75, 1, 32, "Notes", CellID->1912475528], Cell[CellGroupData[{ -Cell[6558, 213, 516, 17, 45, "Input", +Cell[6555, 213, 516, 17, 45, "Input", CellID->802335918], -Cell[7077, 232, 989, 34, 42, "Output"] +Cell[7074, 232, 989, 34, 42, "Output"] }, Open ]] }, Open ]], -Cell[8093, 270, 31, 0, 29, "SectionFooterSpacer"] +Cell[8090, 270, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8161, 275, 270, 12, 31, "SeeAlsoSection", +Cell[8158, 275, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8434, 289, 352, 13, 56, "SeeAlso"] +Cell[8431, 289, 352, 13, 56, "SeeAlso"] }, Open ]], -Cell[8801, 305, 23, 0, 41, "FooterCell"] +Cell[8798, 305, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCVariable.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCVariable.nb index 745adf79b..15d540e42 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCVariable.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FCVariable.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17195, 620] +NotebookDataLength[ 17139, 619] NotebookOptionsPosition[ 13358, 498] -NotebookOutlinePosition[ 15434, 554] -CellTagsIndexPosition[ 15349, 549] +NotebookOutlinePosition[ 15378, 553] +CellTagsIndexPosition[ 15293, 548] WindowTitle->FCVariable WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$128920], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$129928], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FCVariable", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1731146497], + CellID->2014718428], Cell[CellGroupData[{ @@ -127,7 +127,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1672467737], + CellID->1781802097], Cell["\<\ If we want to introduce constants c1 and c2, the naive way doesn't lead to \ @@ -499,7 +499,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FCVariable", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -511,7 +511,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 23.279628}", + "built" -> "{2020, 6, 20, 19, 6, 31.324824}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -530,8 +530,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -543,12 +542,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3547, 104, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1731146497]} + CellID->2014718428]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15205, 542} + {"PrimaryExamplesSection", 15149, 541} } *) (*NotebookFileOutline @@ -561,10 +560,10 @@ Cell[3156, 89, 366, 11, 85, "Usage", Cell[CellGroupData[{ Cell[3547, 104, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1731146497], + CellID->2014718428], Cell[CellGroupData[{ Cell[3960, 123, 196, 6, 26, "ExampleSection", - CellID->1672467737], + CellID->1781802097], Cell[4159, 131, 140, 4, 32, "Notes", CellID->247520490], Cell[CellGroupData[{ diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FDS.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FDS.nb index 5810117d0..8fcbbc73f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FDS.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FDS.nb @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$129360], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$130368], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FDS", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 24.526755}", + "built" -> "{2020, 6, 20, 19, 6, 32.310675}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FI.nb index 823bbdc7c..80271bb9b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FI.nb @@ -85,7 +85,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$140577], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$141585], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FI", ".html"]], None}]}]}, @@ -190,7 +190,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 53.943509}", + "built" -> "{2020, 6, 20, 19, 6, 58.870953}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORM.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORM.nb index bbb63b223..c22a60c71 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORM.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORM.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7172, 218] +NotebookDataLength[ 7171, 218] NotebookOptionsPosition[ 5101, 161] -NotebookOutlinePosition[ 6964, 210] -CellTagsIndexPosition[ 6921, 207] +NotebookOutlinePosition[ 6963, 210] +CellTagsIndexPosition[ 6920, 207] WindowTitle->FORM WindowFrame->Normal*) @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$141944], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$142952], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FORM", ".html"]], None}]}]}, @@ -174,7 +174,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 57.250397}", + "built" -> "{2020, 6, 20, 19, 7, 1.886522}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORM2FeynCalc.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORM2FeynCalc.nb index d3b79aff8..6bad0ba2c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORM2FeynCalc.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORM2FeynCalc.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23333, 824] -NotebookOptionsPosition[ 16156, 599] -NotebookOutlinePosition[ 20313, 715] -CellTagsIndexPosition[ 20196, 709] +NotebookDataLength[ 23327, 824] +NotebookOptionsPosition[ 16154, 599] +NotebookOutlinePosition[ 20309, 715] +CellTagsIndexPosition[ 20192, 709] WindowTitle->FORM2FeynCalc WindowFrame->Normal*) @@ -79,7 +79,7 @@ FORM2FeynCalc.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$141050], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$142058], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FORM2FeynCalc", ".html"]], None}]}]}, @@ -169,7 +169,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->376987914], + CellID->155956133], Cell["", "SectionHeaderSpacer"], @@ -219,7 +219,7 @@ Cell[BoxData[ RowBox[{"{", "}"}]}], ",", RowBox[{"Vectors", "\[Rule]", "Automatic"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{435, 53}, + ImageSize->{435, 54}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"FORM2FeynCalc", @@ -245,7 +245,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1071045998], + CellID->131678291], Cell[CellGroupData[{ @@ -255,7 +255,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1307185854], + CellID->701073080], Cell[CellGroupData[{ @@ -599,8 +599,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FORM2FeynCalc", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -612,7 +612,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 54.917912}", + "built" -> "{2020, 6, 20, 19, 7, 0.023328}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -648,68 +648,68 @@ CellTagsIndex->{ Cell[6361, 194, 146, 4, 70, "Input", CellTags->"FORM2FeynCalc", CellID->1139385107], - Cell[6510, 200, 926, 25, 74, "Output", + Cell[6510, 200, 926, 25, 75, "Output", CellTags->"FORM2FeynCalc"], - Cell[8131, 261, 158, 4, 27, "Input", + Cell[8129, 261, 158, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1971183578], - Cell[8292, 267, 624, 25, 39, "Output", + Cell[8290, 267, 624, 25, 39, "Output", CellTags->"FORM2FeynCalc"], - Cell[8953, 297, 133, 4, 27, "Input", + Cell[8951, 297, 133, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1292875249], - Cell[9089, 303, 329, 11, 53, "Output", + Cell[9087, 303, 329, 11, 53, "Output", CellTags->"FORM2FeynCalc"], - Cell[9720, 330, 333, 9, 45, "Input", + Cell[9718, 330, 333, 9, 45, "Input", CellTags->"FORM2FeynCalc", CellID->1620741920], - Cell[10056, 341, 384, 13, 39, "Output", + Cell[10054, 341, 384, 13, 39, "Output", CellTags->"FORM2FeynCalc"], - Cell[10477, 359, 133, 4, 27, "Input", + Cell[10475, 359, 133, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1897584456], - Cell[10613, 365, 389, 12, 53, "Output", + Cell[10611, 365, 389, 12, 53, "Output", CellTags->"FORM2FeynCalc"], - Cell[11039, 382, 169, 5, 27, "Input", + Cell[11037, 382, 169, 5, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1533060910], - Cell[11211, 389, 417, 15, 37, "Output", + Cell[11209, 389, 417, 15, 37, "Output", CellTags->"FORM2FeynCalc"], - Cell[11665, 409, 136, 4, 27, "Input", + Cell[11663, 409, 136, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1512515442], - Cell[11804, 415, 348, 12, 40, "Output", + Cell[11802, 415, 348, 12, 40, "Output", CellTags->"FORM2FeynCalc"], - Cell[12189, 432, 169, 5, 29, "Input", + Cell[12187, 432, 169, 5, 29, "Input", CellTags->"FORM2FeynCalc", CellID->2089442701], - Cell[12361, 439, 577, 23, 37, "Output", + Cell[12359, 439, 577, 23, 37, "Output", CellTags->"FORM2FeynCalc"], - Cell[12975, 467, 133, 4, 27, "Input", + Cell[12973, 467, 133, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1054646204], - Cell[13111, 473, 341, 11, 51, "Output", + Cell[13109, 473, 341, 11, 51, "Output", CellTags->"FORM2FeynCalc"], - Cell[13489, 489, 352, 10, 29, "Input", + Cell[13487, 489, 352, 10, 29, "Input", CellTags->"FORM2FeynCalc", CellID->1352382070], - Cell[13844, 501, 589, 23, 37, "Output", + Cell[13842, 501, 589, 23, 37, "Output", CellTags->"FORM2FeynCalc"], - Cell[14470, 529, 213, 6, 46, "Input", + Cell[14468, 529, 213, 6, 46, "Input", CellTags->"FORM2FeynCalc", CellID->476542838], - Cell[14686, 537, 861, 29, 42, "Output", + Cell[14684, 537, 861, 29, 42, "Output", CellTags->"FORM2FeynCalc"]}, "PrimaryExamplesSection"->{ - Cell[7497, 232, 388, 15, 31, "PrimaryExamplesSection", + Cell[7497, 232, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1071045998]} + CellID->131678291]} } *) (*CellTagsIndex CellTagsIndex->{ - {"FORM2FeynCalc", 18192, 646}, - {"PrimaryExamplesSection", 20052, 702} + {"FORM2FeynCalc", 18189, 646}, + {"PrimaryExamplesSection", 20049, 702} } *) (*NotebookFileOutline @@ -718,12 +718,12 @@ Cell[585, 21, 3033, 74, 53, "AnchorBarGrid", CellID->1], Cell[3621, 97, 290, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[3936, 112, 1125, 31, 211, "Usage", +Cell[3936, 112, 1125, 31, 228, "Usage", CellID->2010081510], Cell[CellGroupData[{ Cell[5086, 147, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->376987914], + CellID->155956133], Cell[5827, 173, 31, 0, 70, "SectionHeaderSpacer"], Cell[5861, 175, 310, 10, 70, "Notes"], Cell[6174, 187, 162, 3, 70, "Notes"], @@ -731,101 +731,101 @@ Cell[CellGroupData[{ Cell[6361, 194, 146, 4, 70, "Input", CellTags->"FORM2FeynCalc", CellID->1139385107], -Cell[6510, 200, 926, 25, 74, "Output", +Cell[6510, 200, 926, 25, 75, "Output", CellTags->"FORM2FeynCalc"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7497, 232, 388, 15, 31, "PrimaryExamplesSection", +Cell[7497, 232, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1071045998], + CellID->131678291], Cell[CellGroupData[{ -Cell[7910, 251, 196, 6, 26, "ExampleSection", - CellID->1307185854], +Cell[7909, 251, 195, 6, 26, "ExampleSection", + CellID->701073080], Cell[CellGroupData[{ -Cell[8131, 261, 158, 4, 27, "Input", +Cell[8129, 261, 158, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1971183578], -Cell[8292, 267, 624, 25, 39, "Output", +Cell[8290, 267, 624, 25, 39, "Output", CellTags->"FORM2FeynCalc"] }, Open ]], Cell[CellGroupData[{ -Cell[8953, 297, 133, 4, 27, "Input", +Cell[8951, 297, 133, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1292875249], -Cell[9089, 303, 329, 11, 53, "Output", +Cell[9087, 303, 329, 11, 53, "Output", CellTags->"FORM2FeynCalc"] }, Open ]], Cell[CellGroupData[{ -Cell[9455, 319, 105, 2, 9, "ExampleDelimiter"], -Cell[9563, 323, 132, 3, 32, "Notes"], +Cell[9453, 319, 105, 2, 9, "ExampleDelimiter"], +Cell[9561, 323, 132, 3, 49, "Notes"], Cell[CellGroupData[{ -Cell[9720, 330, 333, 9, 45, "Input", +Cell[9718, 330, 333, 9, 45, "Input", CellTags->"FORM2FeynCalc", CellID->1620741920], -Cell[10056, 341, 384, 13, 39, "Output", +Cell[10054, 341, 384, 13, 39, "Output", CellTags->"FORM2FeynCalc"] }, Open ]], Cell[CellGroupData[{ -Cell[10477, 359, 133, 4, 27, "Input", +Cell[10475, 359, 133, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1897584456], -Cell[10613, 365, 389, 12, 53, "Output", +Cell[10611, 365, 389, 12, 53, "Output", CellTags->"FORM2FeynCalc"] }, Open ]], Cell[CellGroupData[{ -Cell[11039, 382, 169, 5, 27, "Input", +Cell[11037, 382, 169, 5, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1533060910], -Cell[11211, 389, 417, 15, 37, "Output", +Cell[11209, 389, 417, 15, 37, "Output", CellTags->"FORM2FeynCalc"] }, Open ]], Cell[CellGroupData[{ -Cell[11665, 409, 136, 4, 27, "Input", +Cell[11663, 409, 136, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1512515442], -Cell[11804, 415, 348, 12, 40, "Output", +Cell[11802, 415, 348, 12, 40, "Output", CellTags->"FORM2FeynCalc"] }, Open ]], Cell[CellGroupData[{ -Cell[12189, 432, 169, 5, 29, "Input", +Cell[12187, 432, 169, 5, 29, "Input", CellTags->"FORM2FeynCalc", CellID->2089442701], -Cell[12361, 439, 577, 23, 37, "Output", +Cell[12359, 439, 577, 23, 37, "Output", CellTags->"FORM2FeynCalc"] }, Open ]], Cell[CellGroupData[{ -Cell[12975, 467, 133, 4, 27, "Input", +Cell[12973, 467, 133, 4, 27, "Input", CellTags->"FORM2FeynCalc", CellID->1054646204], -Cell[13111, 473, 341, 11, 51, "Output", +Cell[13109, 473, 341, 11, 51, "Output", CellTags->"FORM2FeynCalc"] }, Open ]], Cell[CellGroupData[{ -Cell[13489, 489, 352, 10, 29, "Input", +Cell[13487, 489, 352, 10, 29, "Input", CellTags->"FORM2FeynCalc", CellID->1352382070], -Cell[13844, 501, 589, 23, 37, "Output", +Cell[13842, 501, 589, 23, 37, "Output", CellTags->"FORM2FeynCalc"] }, Open ]], Cell[CellGroupData[{ -Cell[14470, 529, 213, 6, 46, "Input", +Cell[14468, 529, 213, 6, 46, "Input", CellTags->"FORM2FeynCalc", CellID->476542838], -Cell[14686, 537, 861, 29, 42, "Output", +Cell[14684, 537, 861, 29, 42, "Output", CellTags->"FORM2FeynCalc"] }, Open ]] }, Open ]] }, Open ]], -Cell[15586, 571, 31, 0, 29, "SectionFooterSpacer"] +Cell[15584, 571, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[15654, 576, 270, 12, 31, "SeeAlsoSection", +Cell[15652, 576, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[15927, 590, 187, 4, 56, "SeeAlso"] +Cell[15925, 590, 187, 4, 56, "SeeAlso"] }, Open ]], -Cell[16129, 597, 23, 0, 41, "FooterCell"] +Cell[16127, 597, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORMEpilog.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORMEpilog.nb index d761361e8..1affb94f1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORMEpilog.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORMEpilog.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7166, 217] +NotebookDataLength[ 7165, 217] NotebookOptionsPosition[ 5115, 160] -NotebookOutlinePosition[ 6958, 209] -CellTagsIndexPosition[ 6915, 206] +NotebookOutlinePosition[ 6957, 209] +CellTagsIndexPosition[ 6914, 206] WindowTitle->FORMEpilog WindowFrame->Normal*) @@ -81,7 +81,7 @@ FORMEpilog.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$141494], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$142502], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FORMEpilog", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 56.228565}", + "built" -> "{2020, 6, 20, 19, 7, 1.059840}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORMProlog.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORMProlog.nb index bd1262b5c..8cdf74ab7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORMProlog.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FORMProlog.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7200, 217] +NotebookDataLength[ 7199, 217] NotebookOptionsPosition[ 5132, 160] -NotebookOutlinePosition[ 6992, 209] -CellTagsIndexPosition[ 6949, 206] +NotebookOutlinePosition[ 6991, 209] +CellTagsIndexPosition[ 6948, 206] WindowTitle->FORMProlog WindowFrame->Normal*) @@ -81,7 +81,7 @@ FORMProlog.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$142388], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$143396], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FORMProlog", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 58.143261}", + "built" -> "{2020, 6, 20, 19, 7, 2.671023}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FRH.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FRH.nb index 90bc28c77..d22ae45dd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FRH.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FRH.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14076, 496] -NotebookOptionsPosition[ 10215, 372] -NotebookOutlinePosition[ 12899, 450] -CellTagsIndexPosition[ 12792, 444] +NotebookDataLength[ 14025, 495] +NotebookOptionsPosition[ 10217, 372] +NotebookOutlinePosition[ 12846, 449] +CellTagsIndexPosition[ 12739, 443] WindowTitle->FRH WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$145488], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$146496], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FRH", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->277173287], + CellID->1550617206], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->726842935], + CellID->1669025045], Cell[CellGroupData[{ @@ -171,7 +171,7 @@ Cell[BoxData[ RowBox[{"Hold", "[", RowBox[{"2", "-", "2"}], "]"}]}], "+", "1", "-", "1"}], "]"}], TraditionalForm]], "Output", - ImageSize->{177, 14}, + ImageSize->{177, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"FRH", @@ -385,7 +385,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 6.476129}", + "built" -> "{2020, 6, 20, 19, 7, 10.112289}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -404,8 +404,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -415,36 +414,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4289, 127, 387, 15, 31, "PrimaryExamplesSection", + Cell[4289, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->277173287]}, + CellID->1550617206]}, "FRH"->{ - Cell[4921, 156, 219, 7, 27, "Input", + Cell[4923, 156, 219, 7, 27, "Input", CellTags->"FRH", CellID->1505003969], - Cell[5143, 165, 334, 12, 35, "Output", + Cell[5145, 165, 334, 12, 37, "Output", CellTags->"FRH"], - Cell[5514, 182, 118, 4, 27, "Input", + Cell[5516, 182, 118, 4, 27, "Input", CellTags->"FRH", CellID->1714875295], - Cell[5635, 188, 184, 6, 35, "Output", + Cell[5637, 188, 184, 6, 35, "Output", CellTags->"FRH"], - Cell[5856, 199, 322, 11, 27, "Input", + Cell[5858, 199, 322, 11, 27, "Input", CellTags->"FRH", CellID->971664034], - Cell[6181, 212, 617, 23, 37, "Output", + Cell[6183, 212, 617, 23, 37, "Output", CellTags->"FRH"], - Cell[6835, 240, 117, 4, 27, "Input", + Cell[6837, 240, 117, 4, 27, "Input", CellTags->"FRH", CellID->866394763], - Cell[6955, 246, 2666, 91, 253, "Output", + Cell[6957, 246, 2666, 91, 253, "Output", CellTags->"FRH"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12058, 416}, - {"FRH", 12188, 420} + {"PrimaryExamplesSection", 12004, 415}, + {"FRH", 12135, 419} } *) (*NotebookFileOutline @@ -455,49 +454,49 @@ Cell[3558, 97, 280, 11, 45, "ObjectNameGrid"], Cell[3841, 110, 423, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4289, 127, 387, 15, 31, "PrimaryExamplesSection", +Cell[4289, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->277173287], + CellID->1550617206], Cell[CellGroupData[{ -Cell[4701, 146, 195, 6, 26, "ExampleSection", - CellID->726842935], +Cell[4702, 146, 196, 6, 26, "ExampleSection", + CellID->1669025045], Cell[CellGroupData[{ -Cell[4921, 156, 219, 7, 27, "Input", +Cell[4923, 156, 219, 7, 27, "Input", CellTags->"FRH", CellID->1505003969], -Cell[5143, 165, 334, 12, 35, "Output", +Cell[5145, 165, 334, 12, 37, "Output", CellTags->"FRH"] }, Open ]], Cell[CellGroupData[{ -Cell[5514, 182, 118, 4, 27, "Input", +Cell[5516, 182, 118, 4, 27, "Input", CellTags->"FRH", CellID->1714875295], -Cell[5635, 188, 184, 6, 35, "Output", +Cell[5637, 188, 184, 6, 35, "Output", CellTags->"FRH"] }, Open ]], Cell[CellGroupData[{ -Cell[5856, 199, 322, 11, 27, "Input", +Cell[5858, 199, 322, 11, 27, "Input", CellTags->"FRH", CellID->971664034], -Cell[6181, 212, 617, 23, 37, "Output", +Cell[6183, 212, 617, 23, 37, "Output", CellTags->"FRH"] }, Open ]], Cell[CellGroupData[{ -Cell[6835, 240, 117, 4, 27, "Input", +Cell[6837, 240, 117, 4, 27, "Input", CellTags->"FRH", CellID->866394763], -Cell[6955, 246, 2666, 91, 253, "Output", +Cell[6957, 246, 2666, 91, 253, "Output", CellTags->"FRH"] }, Open ]] }, Open ]], -Cell[9648, 341, 31, 0, 70, "SectionFooterSpacer"] +Cell[9650, 341, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9716, 346, 270, 12, 70, "SeeAlsoSection", +Cell[9718, 346, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[9989, 360, 184, 7, 70, "SeeAlso"] +Cell[9991, 360, 184, 7, 70, "SeeAlso"] }, Open ]], -Cell[10188, 370, 23, 0, 70, "FooterCell"] +Cell[10190, 370, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FUNCTION.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FUNCTION.nb index ded691916..866941527 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FUNCTION.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FUNCTION.nb @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$146882], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$147890], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FUNCTION", ".html"]], None}]}]}, @@ -167,7 +167,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 10.454556}", + "built" -> "{2020, 6, 20, 19, 7, 13.704731}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FV.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FV.nb index 8f1245ce7..636cd33d6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FV.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FV.nb @@ -10,8 +10,8 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13383, 491] -NotebookOptionsPosition[ 9453, 361] +NotebookDataLength[ 13382, 491] +NotebookOptionsPosition[ 9452, 361] NotebookOutlinePosition[ 12026, 438] CellTagsIndexPosition[ 11920, 432] WindowTitle->FV @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$148242], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$149250], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FV", ".html"]], None}]}]}, @@ -147,7 +147,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1196530961], + CellID->499007868], Cell[CellGroupData[{ @@ -157,7 +157,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->792562904], + CellID->800286819], Cell[CellGroupData[{ @@ -362,7 +362,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FV", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -374,7 +374,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 13.893687}", + "built" -> "{2020, 6, 20, 19, 7, 16.707747}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -403,35 +403,35 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4595, 134, 388, 15, 31, "PrimaryExamplesSection", + Cell[4595, 134, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1196530961]}, + CellID->499007868]}, "FV"->{ - Cell[5228, 163, 143, 5, 27, "Input", + Cell[5227, 163, 143, 5, 27, "Input", CellTags->"FV", CellID->1800701132], - Cell[5374, 170, 378, 16, 37, "Output", + Cell[5373, 170, 378, 16, 37, "Output", CellTags->"FV"], - Cell[5789, 191, 167, 6, 27, "Input", + Cell[5788, 191, 167, 6, 27, "Input", CellTags->"FV", CellID->1600944575], - Cell[5959, 199, 550, 23, 37, "Output", + Cell[5958, 199, 550, 23, 37, "Output", CellTags->"FV"], - Cell[6546, 227, 179, 6, 27, "Input", + Cell[6545, 227, 179, 6, 27, "Input", CellTags->"FV", CellID->2031151174], - Cell[6728, 235, 224, 7, 51, "Output", + Cell[6727, 235, 224, 7, 51, "Output", CellTags->"FV"], - Cell[6989, 247, 214, 8, 27, "Input", + Cell[6988, 247, 214, 8, 27, "Input", CellTags->"FV", CellID->1187758267], - Cell[7206, 257, 303, 9, 51, "Output", + Cell[7205, 257, 303, 9, 51, "Output", CellTags->"FV"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11196, 404}, + {"PrimaryExamplesSection", 11197, 404}, {"FV", 11326, 408} } *) @@ -443,56 +443,56 @@ Cell[3789, 100, 279, 11, 45, "ObjectNameGrid"], Cell[4071, 113, 499, 17, 86, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4595, 134, 388, 15, 31, "PrimaryExamplesSection", +Cell[4595, 134, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1196530961], + CellID->499007868], Cell[CellGroupData[{ -Cell[5008, 153, 195, 6, 26, "ExampleSection", - CellID->792562904], +Cell[5007, 153, 195, 6, 26, "ExampleSection", + CellID->800286819], Cell[CellGroupData[{ -Cell[5228, 163, 143, 5, 27, "Input", +Cell[5227, 163, 143, 5, 27, "Input", CellTags->"FV", CellID->1800701132], -Cell[5374, 170, 378, 16, 37, "Output", +Cell[5373, 170, 378, 16, 37, "Output", CellTags->"FV"] }, Open ]], Cell[CellGroupData[{ -Cell[5789, 191, 167, 6, 27, "Input", +Cell[5788, 191, 167, 6, 27, "Input", CellTags->"FV", CellID->1600944575], -Cell[5959, 199, 550, 23, 37, "Output", +Cell[5958, 199, 550, 23, 37, "Output", CellTags->"FV"] }, Open ]], Cell[CellGroupData[{ -Cell[6546, 227, 179, 6, 27, "Input", +Cell[6545, 227, 179, 6, 27, "Input", CellTags->"FV", CellID->2031151174], -Cell[6728, 235, 224, 7, 51, "Output", +Cell[6727, 235, 224, 7, 51, "Output", CellTags->"FV"] }, Open ]], Cell[CellGroupData[{ -Cell[6989, 247, 214, 8, 27, "Input", +Cell[6988, 247, 214, 8, 27, "Input", CellTags->"FV", CellID->1187758267], -Cell[7206, 257, 303, 9, 51, "Output", +Cell[7205, 257, 303, 9, 51, "Output", CellTags->"FV"] }, Open ]], -Cell[7524, 269, 87, 1, 32, "Notes", +Cell[7523, 269, 87, 1, 32, "Notes", CellID->97927264], Cell[CellGroupData[{ -Cell[7636, 274, 198, 6, 27, "Input", +Cell[7635, 274, 198, 6, 27, "Input", CellID->1140711302], -Cell[7837, 282, 599, 26, 37, "Output"] +Cell[7836, 282, 599, 26, 37, "Output"] }, Open ]] }, Open ]], -Cell[8463, 312, 31, 0, 29, "SectionFooterSpacer"] +Cell[8462, 312, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8531, 317, 270, 12, 70, "SeeAlsoSection", +Cell[8530, 317, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8804, 331, 607, 25, 70, "SeeAlso"] +Cell[8803, 331, 607, 25, 70, "SeeAlso"] }, Open ]], -Cell[9426, 359, 23, 0, 70, "FooterCell"] +Cell[9425, 359, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FVD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FVD.nb index 1ea7f8219..f3c6fc589 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FVD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FVD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14597, 538] -NotebookOptionsPosition[ 10158, 390] -NotebookOutlinePosition[ 13050, 477] -CellTagsIndexPosition[ 12943, 471] +NotebookDataLength[ 14592, 538] +NotebookOptionsPosition[ 10156, 390] +NotebookOutlinePosition[ 13047, 477] +CellTagsIndexPosition[ 12940, 471] WindowTitle->FVD WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$147335], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$148343], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FVD", ".html"]], None}]}]}, @@ -149,7 +149,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1763590825], + CellID->748504311], Cell[CellGroupData[{ @@ -159,7 +159,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1938429727], + CellID->311949260], Cell[CellGroupData[{ @@ -403,7 +403,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 11.401855}", + "built" -> "{2020, 6, 20, 19, 7, 14.507414}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -432,46 +432,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4629, 136, 388, 15, 31, "PrimaryExamplesSection", + Cell[4629, 136, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1763590825]}, + CellID->748504311]}, "FVD"->{ - Cell[5263, 165, 145, 5, 27, "Input", + Cell[5261, 165, 145, 5, 27, "Input", CellTags->"FVD", CellID->1179313259], - Cell[5411, 172, 352, 15, 37, "Output", + Cell[5409, 172, 352, 15, 37, "Output", CellTags->"FVD"], - Cell[5800, 192, 166, 6, 27, "Input", + Cell[5798, 192, 166, 6, 27, "Input", CellTags->"FVD", CellID->4229236], - Cell[5969, 200, 491, 21, 37, "Output", + Cell[5967, 200, 491, 21, 37, "Output", CellTags->"FVD"], - Cell[6497, 226, 180, 6, 27, "Input", + Cell[6495, 226, 180, 6, 27, "Input", CellTags->"FVD", CellID->417689841], - Cell[6680, 234, 226, 7, 51, "Output", + Cell[6678, 234, 226, 7, 51, "Output", CellTags->"FVD"], - Cell[6943, 246, 215, 8, 27, "Input", + Cell[6941, 246, 215, 8, 27, "Input", CellTags->"FVD", CellID->387897032], - Cell[7161, 256, 354, 11, 51, "Output", + Cell[7159, 256, 354, 11, 51, "Output", CellTags->"FVD"], - Cell[7626, 274, 216, 7, 27, "Input", + Cell[7624, 274, 216, 7, 27, "Input", CellTags->"FVD", CellID->117451470], - Cell[7845, 283, 561, 25, 37, "Output", + Cell[7843, 283, 561, 25, 37, "Output", CellTags->"FVD"], - Cell[8443, 313, 127, 4, 27, "Input", + Cell[8441, 313, 127, 4, 27, "Input", CellTags->"FVD", CellID->1697636138], - Cell[8573, 319, 571, 18, 69, "Output", + Cell[8571, 319, 571, 18, 69, "Output", CellTags->"FVD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11925, 433}, - {"FVD", 12056, 437} + {"PrimaryExamplesSection", 11923, 433}, + {"FVD", 12053, 437} } *) (*NotebookFileOutline @@ -482,64 +482,64 @@ Cell[3778, 100, 280, 11, 45, "ObjectNameGrid"], Cell[4061, 113, 543, 19, 86, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4629, 136, 388, 15, 31, "PrimaryExamplesSection", +Cell[4629, 136, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1763590825], + CellID->748504311], Cell[CellGroupData[{ -Cell[5042, 155, 196, 6, 26, "ExampleSection", - CellID->1938429727], +Cell[5041, 155, 195, 6, 26, "ExampleSection", + CellID->311949260], Cell[CellGroupData[{ -Cell[5263, 165, 145, 5, 27, "Input", +Cell[5261, 165, 145, 5, 27, "Input", CellTags->"FVD", CellID->1179313259], -Cell[5411, 172, 352, 15, 37, "Output", +Cell[5409, 172, 352, 15, 37, "Output", CellTags->"FVD"] }, Open ]], Cell[CellGroupData[{ -Cell[5800, 192, 166, 6, 27, "Input", +Cell[5798, 192, 166, 6, 27, "Input", CellTags->"FVD", CellID->4229236], -Cell[5969, 200, 491, 21, 37, "Output", +Cell[5967, 200, 491, 21, 37, "Output", CellTags->"FVD"] }, Open ]], Cell[CellGroupData[{ -Cell[6497, 226, 180, 6, 27, "Input", +Cell[6495, 226, 180, 6, 27, "Input", CellTags->"FVD", CellID->417689841], -Cell[6680, 234, 226, 7, 51, "Output", +Cell[6678, 234, 226, 7, 51, "Output", CellTags->"FVD"] }, Open ]], Cell[CellGroupData[{ -Cell[6943, 246, 215, 8, 27, "Input", +Cell[6941, 246, 215, 8, 27, "Input", CellTags->"FVD", CellID->387897032], -Cell[7161, 256, 354, 11, 51, "Output", +Cell[7159, 256, 354, 11, 51, "Output", CellTags->"FVD"] }, Open ]], -Cell[7530, 270, 71, 0, 32, "Notes"], +Cell[7528, 270, 71, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[7626, 274, 216, 7, 27, "Input", +Cell[7624, 274, 216, 7, 27, "Input", CellTags->"FVD", CellID->117451470], -Cell[7845, 283, 561, 25, 37, "Output", +Cell[7843, 283, 561, 25, 37, "Output", CellTags->"FVD"] }, Open ]], Cell[CellGroupData[{ -Cell[8443, 313, 127, 4, 27, "Input", +Cell[8441, 313, 127, 4, 27, "Input", CellTags->"FVD", CellID->1697636138], -Cell[8573, 319, 571, 18, 69, "Output", +Cell[8571, 319, 571, 18, 69, "Output", CellTags->"FVD"] }, Open ]] }, Open ]], -Cell[9171, 341, 31, 0, 29, "SectionFooterSpacer"] +Cell[9169, 341, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9239, 346, 270, 12, 31, "SeeAlsoSection", +Cell[9237, 346, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9512, 360, 604, 25, 56, "SeeAlso"] +Cell[9510, 360, 604, 25, 56, "SeeAlso"] }, Open ]], -Cell[10131, 388, 23, 0, 41, "FooterCell"] +Cell[10129, 388, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FVE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FVE.nb index 90f60f858..c8a3b7195 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FVE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FVE.nb @@ -83,7 +83,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$147788], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$148796], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FVE", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1746275286], + CellID->1756633144], Cell[CellGroupData[{ @@ -160,7 +160,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1281153066], + CellID->2016025041], Cell[CellGroupData[{ @@ -433,8 +433,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FVE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -446,7 +446,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 12.588866}", + "built" -> "{2020, 6, 20, 19, 7, 15.626746}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -477,7 +477,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4707, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1746275286]}, + CellID->1756633144]}, "FVE"->{ Cell[5341, 166, 145, 5, 27, "Input", CellTags->"FVE", @@ -529,10 +529,10 @@ Cell[4137, 114, 545, 19, 86, "Usage", Cell[CellGroupData[{ Cell[4707, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1746275286], + CellID->1756633144], Cell[CellGroupData[{ Cell[5120, 156, 196, 6, 26, "ExampleSection", - CellID->1281153066], + CellID->2016025041], Cell[CellGroupData[{ Cell[5341, 166, 145, 5, 27, "Input", CellTags->"FVE", @@ -584,11 +584,11 @@ Cell[9922, 369, 166, 5, 35, "Output"] Cell[10115, 378, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10183, 383, 270, 12, 70, "SeeAlsoSection", +Cell[10183, 383, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10456, 397, 748, 31, 70, "SeeAlso"] +Cell[10456, 397, 748, 31, 56, "SeeAlso"] }, Open ]], -Cell[11219, 431, 23, 0, 70, "FooterCell"] +Cell[11219, 431, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factor1.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factor1.nb index 9b9b94bcf..be9923eca 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factor1.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factor1.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12551, 449] -NotebookOptionsPosition[ 8276, 312] -NotebookOutlinePosition[ 11172, 396] -CellTagsIndexPosition[ 11061, 390] +NotebookDataLength[ 12497, 448] +NotebookOptionsPosition[ 8277, 312] +NotebookOutlinePosition[ 11117, 395] +CellTagsIndexPosition[ 11006, 389] WindowTitle->Factor1 WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$87357], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$87477], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Factor1", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->256108941], + CellID->1291900193], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1116701667], + CellID->1229784108], Cell[CellGroupData[{ @@ -313,7 +313,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Factor1", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -325,7 +325,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 30.104899}", + "built" -> "{2020, 6, 20, 19, 4, 49.986864}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -345,8 +345,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -356,41 +355,41 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4318, 127, 387, 15, 31, "PrimaryExamplesSection", + Cell[4318, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->256108941]}, + CellID->1291900193]}, "Factor1"->{ - Cell[4951, 156, 203, 8, 27, "Input", + Cell[4952, 156, 203, 8, 27, "Input", CellTags->"Factor1", CellID->106113384], - Cell[5157, 166, 310, 11, 37, "Output", + Cell[5158, 166, 310, 11, 37, "Output", CellTags->"Factor1"], - Cell[5504, 182, 212, 7, 27, "Input", + Cell[5505, 182, 212, 7, 27, "Input", CellTags->"Factor1", CellID->1501862951], - Cell[5719, 191, 521, 19, 37, "Output", + Cell[5720, 191, 521, 19, 37, "Output", CellTags->"Factor1"], - Cell[6277, 215, 240, 9, 27, "Input", + Cell[6278, 215, 240, 9, 27, "Input", CellTags->"Factor1", CellID->641613489], - Cell[6520, 226, 261, 9, 37, "Output", + Cell[6521, 226, 261, 9, 37, "Output", CellTags->"Factor1"], - Cell[6818, 240, 124, 4, 27, "Input", + Cell[6819, 240, 124, 4, 27, "Input", CellTags->"Factor1", CellID->916389340], - Cell[6945, 246, 310, 11, 37, "Output", + Cell[6946, 246, 310, 11, 37, "Output", CellTags->"Factor1"], - Cell[7292, 262, 126, 4, 27, "Input", + Cell[7293, 262, 126, 4, 27, "Input", CellTags->"Factor1", CellID->892191531], - Cell[7421, 268, 261, 9, 37, "Output", + Cell[7422, 268, 261, 9, 37, "Output", CellTags->"Factor1"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10144, 357}, - {"Factor1", 10278, 361} + {"PrimaryExamplesSection", 10088, 356}, + {"Factor1", 10223, 360} } *) (*NotebookFileOutline @@ -401,56 +400,56 @@ Cell[3577, 97, 284, 11, 45, "ObjectNameGrid"], Cell[3864, 110, 429, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4318, 127, 387, 15, 31, "PrimaryExamplesSection", +Cell[4318, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->256108941], + CellID->1291900193], Cell[CellGroupData[{ -Cell[4730, 146, 196, 6, 26, "ExampleSection", - CellID->1116701667], +Cell[4731, 146, 196, 6, 26, "ExampleSection", + CellID->1229784108], Cell[CellGroupData[{ -Cell[4951, 156, 203, 8, 27, "Input", +Cell[4952, 156, 203, 8, 27, "Input", CellTags->"Factor1", CellID->106113384], -Cell[5157, 166, 310, 11, 37, "Output", +Cell[5158, 166, 310, 11, 37, "Output", CellTags->"Factor1"] }, Open ]], Cell[CellGroupData[{ -Cell[5504, 182, 212, 7, 27, "Input", +Cell[5505, 182, 212, 7, 27, "Input", CellTags->"Factor1", CellID->1501862951], -Cell[5719, 191, 521, 19, 37, "Output", +Cell[5720, 191, 521, 19, 37, "Output", CellTags->"Factor1"] }, Open ]], Cell[CellGroupData[{ -Cell[6277, 215, 240, 9, 27, "Input", +Cell[6278, 215, 240, 9, 27, "Input", CellTags->"Factor1", CellID->641613489], -Cell[6520, 226, 261, 9, 37, "Output", +Cell[6521, 226, 261, 9, 37, "Output", CellTags->"Factor1"] }, Open ]], Cell[CellGroupData[{ -Cell[6818, 240, 124, 4, 27, "Input", +Cell[6819, 240, 124, 4, 27, "Input", CellTags->"Factor1", CellID->916389340], -Cell[6945, 246, 310, 11, 37, "Output", +Cell[6946, 246, 310, 11, 37, "Output", CellTags->"Factor1"] }, Open ]], Cell[CellGroupData[{ -Cell[7292, 262, 126, 4, 27, "Input", +Cell[7293, 262, 126, 4, 27, "Input", CellTags->"Factor1", CellID->892191531], -Cell[7421, 268, 261, 9, 37, "Output", +Cell[7422, 268, 261, 9, 37, "Output", CellTags->"Factor1"] }, Open ]] }, Open ]], -Cell[7709, 281, 31, 0, 29, "SectionFooterSpacer"] +Cell[7710, 281, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7777, 286, 270, 12, 31, "SeeAlsoSection", +Cell[7778, 286, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8050, 300, 184, 7, 56, "SeeAlso"] +Cell[8051, 300, 184, 7, 56, "SeeAlso"] }, Open ]], -Cell[8249, 310, 23, 0, 70, "FooterCell"] +Cell[8250, 310, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factor2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factor2.nb index ec6fdeef9..bb16f55ed 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factor2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factor2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15543, 555] +NotebookDataLength[ 15485, 554] NotebookOptionsPosition[ 10346, 391] -NotebookOutlinePosition[ 13650, 483] -CellTagsIndexPosition[ 13539, 477] +NotebookOutlinePosition[ 13592, 482] +CellTagsIndexPosition[ 13481, 476] WindowTitle->Factor2 WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$87794], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$87914], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Factor2", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1508085123], + CellID->1594849406], Cell["", "SectionHeaderSpacer"], @@ -170,7 +170,7 @@ Cell[BoxData[ RowBox[{ RowBox[{"FactorFull", "\[Rule]", "False"}], ",", RowBox[{"Method", "\[Rule]", "3"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{204, 14}, + ImageSize->{204, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[191]="] @@ -195,7 +195,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2128865875], + CellID->875411271], Cell[CellGroupData[{ @@ -205,7 +205,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->618603978], + CellID->1624003907], Cell[CellGroupData[{ @@ -391,8 +391,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Factor2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -404,7 +404,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 31.306495}", + "built" -> "{2020, 6, 20, 19, 4, 51.096018}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -427,8 +427,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -438,9 +437,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5845, 182, 388, 15, 31, "PrimaryExamplesSection", + Cell[5845, 182, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2128865875]}, + CellID->875411271]}, "Factor2"->{ Cell[6478, 211, 204, 8, 27, "Input", CellTags->"Factor2", @@ -476,8 +475,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12471, 439}, - {"Factor2", 12606, 443} + {"PrimaryExamplesSection", 12414, 438}, + {"Factor2", 12548, 442} } *) (*NotebookFileOutline @@ -486,26 +485,26 @@ Cell[579, 21, 2997, 74, 53, "AnchorBarGrid", CellID->1], Cell[3579, 97, 284, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[3888, 112, 683, 16, 119, "Usage", +Cell[3888, 112, 683, 16, 135, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[4596, 132, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1508085123], + CellID->1594849406], Cell[5338, 158, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5394, 162, 91, 2, 70, "Input"], -Cell[5488, 166, 296, 9, 35, "Output"] +Cell[5488, 166, 296, 9, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5845, 182, 388, 15, 31, "PrimaryExamplesSection", +Cell[5845, 182, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2128865875], + CellID->875411271], Cell[CellGroupData[{ -Cell[6258, 201, 195, 6, 26, "ExampleSection", - CellID->618603978], +Cell[6257, 201, 196, 6, 26, "ExampleSection", + CellID->1624003907], Cell[CellGroupData[{ Cell[6478, 211, 204, 8, 27, "Input", CellTags->"Factor2", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FactorFull.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FactorFull.nb index 515020c01..a5742f99e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FactorFull.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FactorFull.nb @@ -79,7 +79,7 @@ FactorFull.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$88233], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$88353], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FactorFull", ".html"]], None}]}]}, @@ -185,7 +185,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 32.525318}", + "built" -> "{2020, 6, 20, 19, 4, 52.189221}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factoring.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factoring.nb index 3cfebd87e..4982ec54b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factoring.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factoring.nb @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$88677], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$88797], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Factoring", ".html"]], None}]}]}, @@ -180,7 +180,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 33.553768}", + "built" -> "{2020, 6, 20, 19, 4, 52.992155}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factorout.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factorout.nb index 669b16189..731bbe4d9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factorout.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Factorout.nb @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$89122], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$89242], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Factorout", ".html"]], None}]}]}, @@ -171,7 +171,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 55, 34.395759}", + "built" -> "{2020, 6, 20, 19, 4, 54.048462}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FermionSpinSum.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FermionSpinSum.nb index 66fd31e27..3e9aa095f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FermionSpinSum.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FermionSpinSum.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 25402, 927] -NotebookOptionsPosition[ 19341, 736] -NotebookOutlinePosition[ 22687, 830] -CellTagsIndexPosition[ 22569, 824] +NotebookDataLength[ 25349, 926] +NotebookOptionsPosition[ 19343, 736] +NotebookOutlinePosition[ 22632, 829] +CellTagsIndexPosition[ 22514, 823] WindowTitle->FermionSpinSum WindowFrame->Normal*) @@ -82,7 +82,7 @@ FermionSpinSum.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$129816], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$130824], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FermionSpinSum", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1819187881], + CellID->1721176650], Cell["", "SectionHeaderSpacer"], @@ -213,7 +213,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->632377296], + CellID->905555107], Cell[CellGroupData[{ @@ -223,7 +223,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->76620452], + CellID->1872893834], Cell["\<\ FeynCalc uses the customary relativistic normalization of the spinors.\ @@ -749,7 +749,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 25.496689}", + "built" -> "{2020, 6, 20, 19, 6, 33.394449}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -769,8 +769,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -782,49 +781,49 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6576, 200, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->632377296]}, + CellID->905555107]}, "FermionSpinSum"->{ - Cell[7305, 233, 314, 10, 27, "Input", + Cell[7307, 233, 314, 10, 27, "Input", CellTags->"FermionSpinSum", CellID->278938360], - Cell[7622, 245, 598, 24, 37, "Output", + Cell[7624, 245, 598, 24, 37, "Output", CellTags->"FermionSpinSum"], - Cell[8257, 274, 139, 4, 27, "Input", + Cell[8259, 274, 139, 4, 27, "Input", CellTags->"FermionSpinSum", CellID->505730343], - Cell[8399, 280, 466, 17, 37, "Output", + Cell[8401, 280, 466, 17, 37, "Output", CellTags->"FermionSpinSum"], - Cell[8902, 302, 139, 4, 27, "Input", + Cell[8904, 302, 139, 4, 27, "Input", CellTags->"FermionSpinSum", CellID->1201144341], - Cell[9044, 308, 218, 7, 35, "Output", + Cell[9046, 308, 218, 7, 35, "Output", CellTags->"FermionSpinSum"], - Cell[9299, 320, 315, 10, 27, "Input", + Cell[9301, 320, 315, 10, 27, "Input", CellTags->"FermionSpinSum", CellID->1209998846], - Cell[9617, 332, 598, 24, 37, "Output", + Cell[9619, 332, 598, 24, 37, "Output", CellTags->"FermionSpinSum"], - Cell[10252, 361, 139, 4, 27, "Input", + Cell[10254, 361, 139, 4, 27, "Input", CellTags->"FermionSpinSum", CellID->723398437], - Cell[10394, 367, 466, 17, 37, "Output", + Cell[10396, 367, 466, 17, 37, "Output", CellTags->"FermionSpinSum"], - Cell[10897, 389, 138, 4, 27, "Input", + Cell[10899, 389, 138, 4, 27, "Input", CellTags->"FermionSpinSum", CellID->680865455], - Cell[11038, 395, 237, 8, 35, "Output", + Cell[11040, 395, 237, 8, 35, "Output", CellTags->"FermionSpinSum"], - Cell[11442, 414, 321, 10, 27, "Input", + Cell[11444, 414, 321, 10, 27, "Input", CellTags->"FermionSpinSum", CellID->1094170176], - Cell[11766, 426, 862, 34, 40, "Output", + Cell[11768, 426, 862, 34, 40, "Output", CellTags->"FermionSpinSum"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 21232, 781}, - {"FermionSpinSum", 21373, 785} + {"PrimaryExamplesSection", 21177, 780}, + {"FermionSpinSum", 21318, 784} } *) (*NotebookFileOutline @@ -838,7 +837,7 @@ Cell[4128, 115, 460, 13, 85, "Usage", Cell[CellGroupData[{ Cell[4613, 132, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1819187881], + CellID->1721176650], Cell[5355, 158, 31, 0, 70, "SectionHeaderSpacer"], Cell[5389, 160, 65, 0, 70, "Notes"], Cell[5457, 162, 132, 4, 70, "Notes"], @@ -851,84 +850,84 @@ Cell[5713, 174, 802, 19, 75, "Output"] Cell[CellGroupData[{ Cell[6576, 200, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->632377296], + CellID->905555107], Cell[CellGroupData[{ -Cell[6988, 219, 194, 6, 26, "ExampleSection", - CellID->76620452], -Cell[7185, 227, 95, 2, 32, "Notes"], +Cell[6988, 219, 196, 6, 26, "ExampleSection", + CellID->1872893834], +Cell[7187, 227, 95, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[7305, 233, 314, 10, 27, "Input", +Cell[7307, 233, 314, 10, 27, "Input", CellTags->"FermionSpinSum", CellID->278938360], -Cell[7622, 245, 598, 24, 37, "Output", +Cell[7624, 245, 598, 24, 37, "Output", CellTags->"FermionSpinSum"] }, Open ]], Cell[CellGroupData[{ -Cell[8257, 274, 139, 4, 27, "Input", +Cell[8259, 274, 139, 4, 27, "Input", CellTags->"FermionSpinSum", CellID->505730343], -Cell[8399, 280, 466, 17, 37, "Output", +Cell[8401, 280, 466, 17, 37, "Output", CellTags->"FermionSpinSum"] }, Open ]], Cell[CellGroupData[{ -Cell[8902, 302, 139, 4, 27, "Input", +Cell[8904, 302, 139, 4, 27, "Input", CellTags->"FermionSpinSum", CellID->1201144341], -Cell[9044, 308, 218, 7, 35, "Output", +Cell[9046, 308, 218, 7, 35, "Output", CellTags->"FermionSpinSum"] }, Open ]], Cell[CellGroupData[{ -Cell[9299, 320, 315, 10, 27, "Input", +Cell[9301, 320, 315, 10, 27, "Input", CellTags->"FermionSpinSum", CellID->1209998846], -Cell[9617, 332, 598, 24, 37, "Output", +Cell[9619, 332, 598, 24, 37, "Output", CellTags->"FermionSpinSum"] }, Open ]], Cell[CellGroupData[{ -Cell[10252, 361, 139, 4, 27, "Input", +Cell[10254, 361, 139, 4, 27, "Input", CellTags->"FermionSpinSum", CellID->723398437], -Cell[10394, 367, 466, 17, 37, "Output", +Cell[10396, 367, 466, 17, 37, "Output", CellTags->"FermionSpinSum"] }, Open ]], Cell[CellGroupData[{ -Cell[10897, 389, 138, 4, 27, "Input", +Cell[10899, 389, 138, 4, 27, "Input", CellTags->"FermionSpinSum", CellID->680865455], -Cell[11038, 395, 237, 8, 35, "Output", +Cell[11040, 395, 237, 8, 35, "Output", CellTags->"FermionSpinSum"] }, Open ]], Cell[CellGroupData[{ -Cell[11312, 408, 105, 2, 9, "ExampleDelimiter"], +Cell[11314, 408, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[11442, 414, 321, 10, 27, "Input", +Cell[11444, 414, 321, 10, 27, "Input", CellTags->"FermionSpinSum", CellID->1094170176], -Cell[11766, 426, 862, 34, 40, "Output", +Cell[11768, 426, 862, 34, 40, "Output", CellTags->"FermionSpinSum"] }, Open ]], Cell[CellGroupData[{ -Cell[12665, 465, 115, 3, 27, "Input"], -Cell[12783, 470, 2213, 83, 43, "Output"] +Cell[12667, 465, 115, 3, 27, "Input"], +Cell[12785, 470, 2213, 83, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[15033, 558, 90, 2, 27, "Input"], -Cell[15126, 562, 1495, 52, 43, "Output"] +Cell[15035, 558, 90, 2, 27, "Input"], +Cell[15128, 562, 1495, 52, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16658, 619, 89, 2, 27, "Input"], -Cell[16750, 623, 1640, 65, 42, "Output"] +Cell[16660, 619, 89, 2, 27, "Input"], +Cell[16752, 623, 1640, 65, 42, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[18429, 693, 31, 0, 29, "SectionFooterSpacer"] +Cell[18431, 693, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[18497, 698, 270, 12, 31, "SeeAlsoSection", +Cell[18499, 698, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[18770, 712, 529, 19, 56, "SeeAlso"] +Cell[18772, 712, 529, 19, 56, "SeeAlso"] }, Open ]], -Cell[19314, 734, 23, 0, 41, "FooterCell"] +Cell[19316, 734, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmp.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmp.nb index b7d8a7514..20b693d72 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmp.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmp.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15673, 550] +NotebookDataLength[ 15674, 550] NotebookOptionsPosition[ 11946, 437] -NotebookOutlinePosition[ 14444, 506] -CellTagsIndexPosition[ 14333, 500] +NotebookOutlinePosition[ 14445, 506] +CellTagsIndexPosition[ 14334, 500] WindowTitle->FeynAmp WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$132958], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$133966], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynAmp", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1386052971], + CellID->957939954], Cell["", "SectionHeaderSpacer"], @@ -181,7 +181,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->618300883], + CellID->1964290227], Cell[CellGroupData[{ @@ -191,7 +191,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->493798849], + CellID->908628951], Cell["\<\ This is a 1-loop gluon self-energy amplitude (ignoring factors of (2 \[Pi])).\ @@ -450,7 +450,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 34.080536}", + "built" -> "{2020, 6, 20, 19, 6, 40.743763}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -481,9 +481,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5461, 168, 387, 15, 31, "PrimaryExamplesSection", + Cell[5460, 168, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->618300883]}, + CellID->1964290227]}, "FeynAmp"->{ Cell[6200, 202, 864, 23, 45, "Input", CellTags->"FeynAmp", @@ -500,7 +500,7 @@ CellTagsIndex->{ (*CellTagsIndex CellTagsIndex->{ {"PrimaryExamplesSection", 13865, 482}, - {"FeynAmp", 13999, 486} + {"FeynAmp", 14000, 486} } *) (*NotebookFileOutline @@ -512,21 +512,21 @@ Cell[CellGroupData[{ Cell[3891, 112, 555, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4471, 130, 739, 24, 31, "NotesSection", +Cell[4471, 130, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1386052971], -Cell[5213, 156, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5247, 158, 165, 4, 70, "Notes", + CellID->957939954], +Cell[5212, 156, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5246, 158, 165, 4, 70, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5461, 168, 387, 15, 31, "PrimaryExamplesSection", +Cell[5460, 168, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->618300883], + CellID->1964290227], Cell[CellGroupData[{ Cell[5873, 187, 195, 6, 26, "ExampleSection", - CellID->493798849], + CellID->908628951], Cell[6071, 195, 104, 3, 32, "Notes"], Cell[CellGroupData[{ Cell[6200, 202, 864, 23, 45, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominator.nb index a3e4ad6d4..0dfd51a8a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 39979, 1339] -NotebookOptionsPosition[ 32874, 1121] -NotebookOutlinePosition[ 35922, 1202] -CellTagsIndexPosition[ 35798, 1196] +NotebookDataLength[ 39984, 1339] +NotebookOptionsPosition[ 32876, 1121] +NotebookOutlinePosition[ 35925, 1202] +CellTagsIndexPosition[ 35801, 1196] WindowTitle->FeynAmpDenominator WindowFrame->Normal*) @@ -84,7 +84,7 @@ FeynAmpDenominator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$131164], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$132172], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynAmpDenominator", ".html"]], None}]}]}, @@ -146,7 +146,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->228635681], + CellID->2051527841], Cell[CellGroupData[{ @@ -156,7 +156,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->862752378], + CellID->1744548355], Cell[TextData[{ "The old way to represent standard Lorentzian propagators is to use \ @@ -1134,7 +1134,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 29.310668}", + "built" -> "{2020, 6, 20, 19, 6, 36.595156}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1167,36 +1167,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4907, 133, 387, 15, 31, "PrimaryExamplesSection", + Cell[4907, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->228635681]}, + CellID->2051527841]}, "FeynAmpDenominator"->{ - Cell[5971, 174, 283, 8, 27, "Input", + Cell[5973, 174, 283, 8, 27, "Input", CellTags->"FeynAmpDenominator", CellID->1348679348], - Cell[6257, 184, 633, 21, 61, "Output", + Cell[6259, 184, 633, 21, 61, "Output", CellTags->"FeynAmpDenominator"], - Cell[6927, 210, 480, 15, 45, "Input", + Cell[6929, 210, 480, 15, 45, "Input", CellTags->"FeynAmpDenominator", CellID->1096136338], - Cell[7410, 227, 1496, 49, 64, "Output", + Cell[7412, 227, 1496, 49, 64, "Output", CellTags->"FeynAmpDenominator"], - Cell[9047, 285, 357, 11, 45, "Input", + Cell[9049, 285, 357, 11, 45, "Input", CellTags->"FeynAmpDenominator", CellID->1592188506], - Cell[9407, 298, 261, 8, 51, "Output", + Cell[9409, 298, 261, 8, 51, "Output", CellTags->"FeynAmpDenominator"], - Cell[21358, 713, 489, 15, 45, "Input", + Cell[21360, 713, 489, 15, 45, "Input", CellTags->"FeynAmpDenominator", CellID->484409356], - Cell[21850, 730, 407, 14, 57, "Output", + Cell[21852, 730, 407, 14, 57, "Output", CellTags->"FeynAmpDenominator"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 34925, 1168}, - {"FeynAmpDenominator", 35070, 1172} + {"PrimaryExamplesSection", 34927, 1168}, + {"FeynAmpDenominator", 35073, 1172} } *) (*NotebookFileOutline @@ -1207,140 +1207,140 @@ Cell[3990, 102, 295, 11, 45, "ObjectNameGrid"], Cell[4288, 115, 594, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4907, 133, 387, 15, 31, "PrimaryExamplesSection", +Cell[4907, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->228635681], + CellID->2051527841], Cell[CellGroupData[{ -Cell[5319, 152, 195, 6, 26, "ExampleSection", - CellID->862752378], -Cell[5517, 160, 429, 10, 66, "Notes"], +Cell[5320, 152, 196, 6, 26, "ExampleSection", + CellID->1744548355], +Cell[5519, 160, 429, 10, 66, "Notes"], Cell[CellGroupData[{ -Cell[5971, 174, 283, 8, 27, "Input", +Cell[5973, 174, 283, 8, 27, "Input", CellTags->"FeynAmpDenominator", CellID->1348679348], -Cell[6257, 184, 633, 21, 61, "Output", +Cell[6259, 184, 633, 21, 61, "Output", CellTags->"FeynAmpDenominator"] }, Open ]], Cell[CellGroupData[{ -Cell[6927, 210, 480, 15, 45, "Input", +Cell[6929, 210, 480, 15, 45, "Input", CellTags->"FeynAmpDenominator", CellID->1096136338], -Cell[7410, 227, 1496, 49, 64, "Output", +Cell[7412, 227, 1496, 49, 64, "Output", CellTags->"FeynAmpDenominator"] }, Open ]], -Cell[8921, 279, 101, 2, 32, "Notes"], +Cell[8923, 279, 101, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[9047, 285, 357, 11, 45, "Input", +Cell[9049, 285, 357, 11, 45, "Input", CellTags->"FeynAmpDenominator", CellID->1592188506], -Cell[9407, 298, 261, 8, 51, "Output", +Cell[9409, 298, 261, 8, 51, "Output", CellTags->"FeynAmpDenominator"] }, Open ]], -Cell[9683, 309, 115, 3, 32, "Notes"], +Cell[9685, 309, 115, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[9823, 316, 354, 10, 45, "Input"], -Cell[10180, 328, 434, 12, 61, "Output"] +Cell[9825, 316, 354, 10, 45, "Input"], +Cell[10182, 328, 434, 12, 61, "Output"] }, Open ]], -Cell[10629, 343, 107, 3, 32, "Notes"], +Cell[10631, 343, 107, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[10761, 350, 333, 9, 45, "Input"], -Cell[11097, 361, 425, 12, 61, "Output"] +Cell[10763, 350, 333, 9, 45, "Input"], +Cell[11099, 361, 425, 12, 61, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11559, 378, 309, 8, 45, "Input"], -Cell[11871, 388, 399, 11, 61, "Output"] +Cell[11561, 378, 309, 8, 45, "Input"], +Cell[11873, 388, 399, 11, 61, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12307, 404, 366, 10, 45, "Input"], -Cell[12676, 416, 518, 14, 61, "Output"] +Cell[12309, 404, 366, 10, 45, "Input"], +Cell[12678, 416, 518, 14, 61, "Output"] }, Open ]], -Cell[13209, 433, 211, 5, 48, "Notes"], +Cell[13211, 433, 211, 5, 48, "Notes"], Cell[CellGroupData[{ -Cell[13445, 442, 376, 11, 45, "Input"], -Cell[13824, 455, 434, 12, 61, "Output"] +Cell[13447, 442, 376, 11, 45, "Input"], +Cell[13826, 455, 434, 12, 61, "Output"] }, Open ]], -Cell[14273, 470, 75, 0, 32, "Notes"], +Cell[14275, 470, 75, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[14373, 474, 333, 9, 45, "Input"], -Cell[14709, 485, 456, 13, 61, "Output"] +Cell[14375, 474, 333, 9, 45, "Input"], +Cell[14711, 485, 456, 13, 61, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[15202, 503, 356, 10, 45, "Input"], -Cell[15561, 515, 429, 12, 39, "Output"] +Cell[15204, 503, 356, 10, 45, "Input"], +Cell[15563, 515, 429, 12, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16027, 532, 334, 9, 45, "Input"], -Cell[16364, 543, 448, 13, 39, "Output"] +Cell[16029, 532, 334, 9, 45, "Input"], +Cell[16366, 543, 448, 13, 39, "Output"] }, Open ]], -Cell[16827, 559, 55, 0, 32, "Notes"], +Cell[16829, 559, 55, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[16907, 563, 485, 14, 45, "Input"], -Cell[17395, 579, 556, 15, 61, "Output"] +Cell[16909, 563, 485, 14, 45, "Input"], +Cell[17397, 579, 556, 15, 61, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[17988, 599, 439, 12, 45, "Input"], -Cell[18430, 613, 507, 14, 59, "Output"] +Cell[17990, 599, 439, 12, 45, "Input"], +Cell[18432, 613, 507, 14, 59, "Output"] }, Open ]], -Cell[18952, 630, 238, 6, 49, "Notes"], +Cell[18954, 630, 238, 6, 49, "Notes"], Cell[CellGroupData[{ -Cell[19215, 640, 465, 13, 45, "Input"], -Cell[19683, 655, 515, 14, 59, "Output"] +Cell[19217, 640, 465, 13, 45, "Input"], +Cell[19685, 655, 515, 14, 59, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[20235, 674, 461, 13, 45, "Input"], -Cell[20699, 689, 507, 14, 59, "Output"] +Cell[20237, 674, 461, 13, 45, "Input"], +Cell[20701, 689, 507, 14, 59, "Output"] }, Open ]], -Cell[21221, 706, 112, 3, 32, "Notes"], +Cell[21223, 706, 112, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[21358, 713, 489, 15, 45, "Input", +Cell[21360, 713, 489, 15, 45, "Input", CellTags->"FeynAmpDenominator", CellID->484409356], -Cell[21850, 730, 407, 14, 57, "Output", +Cell[21852, 730, 407, 14, 57, "Output", CellTags->"FeynAmpDenominator"] }, Open ]], -Cell[22272, 747, 110, 3, 32, "Notes"], +Cell[22274, 747, 110, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[22407, 754, 574, 17, 62, "Input"], -Cell[22984, 773, 401, 14, 57, "Output"] +Cell[22409, 754, 574, 17, 62, "Input"], +Cell[22986, 773, 401, 14, 57, "Output"] }, Open ]], -Cell[23400, 790, 257, 5, 66, "Notes"], +Cell[23402, 790, 257, 5, 66, "Notes"], Cell[CellGroupData[{ -Cell[23682, 799, 393, 11, 45, "Input"], -Cell[24078, 812, 476, 13, 61, "Output"] +Cell[23684, 799, 393, 11, 45, "Input"], +Cell[24080, 812, 476, 13, 61, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[24591, 830, 572, 16, 62, "Input"], -Cell[25166, 848, 657, 18, 61, "Output"] +Cell[24593, 830, 572, 16, 62, "Input"], +Cell[25168, 848, 657, 18, 61, "Output"] }, Open ]], -Cell[25838, 869, 113, 3, 32, "Notes"], +Cell[25840, 869, 113, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[25976, 876, 480, 14, 45, "Input"], -Cell[26459, 892, 393, 13, 57, "Output"] +Cell[25978, 876, 480, 14, 45, "Input"], +Cell[26461, 892, 393, 13, 57, "Output"] }, Open ]], -Cell[26867, 908, 219, 4, 65, "Notes"], +Cell[26869, 908, 219, 4, 65, "Notes"], Cell[CellGroupData[{ -Cell[27111, 916, 225, 6, 27, "Input"], -Cell[27339, 924, 304, 10, 59, "Output"] +Cell[27113, 916, 225, 6, 27, "Input"], +Cell[27341, 924, 304, 10, 59, "Output"] }, Open ]], -Cell[27658, 937, 135, 3, 48, "Notes"], +Cell[27660, 937, 135, 3, 48, "Notes"], Cell[CellGroupData[{ -Cell[27818, 944, 904, 26, 79, "Input"], -Cell[28725, 972, 1156, 30, 59, "Output"] +Cell[27820, 944, 904, 26, 79, "Input"], +Cell[28727, 972, 1156, 30, 59, "Output"] }, Open ]], -Cell[29896, 1005, 111, 3, 32, "Notes"], +Cell[29898, 1005, 111, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[30032, 1012, 1017, 29, 79, "Input"], -Cell[31052, 1043, 586, 19, 51, "Output"] +Cell[30034, 1012, 1017, 29, 79, "Input"], +Cell[31054, 1043, 586, 19, 51, "Output"] }, Open ]] }, Open ]], -Cell[31665, 1066, 31, 0, 29, "SectionFooterSpacer"] +Cell[31667, 1066, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[31733, 1071, 270, 12, 31, "SeeAlsoSection", +Cell[31735, 1071, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[32006, 1085, 826, 31, 56, "SeeAlso"] +Cell[32008, 1085, 826, 31, 56, "SeeAlso"] }, Open ]], -Cell[32847, 1119, 23, 0, 41, "FooterCell"] +Cell[32849, 1119, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorCombine.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorCombine.nb index 8abc3bf81..eb177e5e4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorCombine.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorCombine.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15162, 512] -NotebookOptionsPosition[ 10908, 390] -NotebookOutlinePosition[ 13792, 465] -CellTagsIndexPosition[ 13663, 459] +NotebookDataLength[ 15100, 511] +NotebookOptionsPosition[ 10906, 390] +NotebookOutlinePosition[ 13732, 464] +CellTagsIndexPosition[ 13603, 458] WindowTitle->FeynAmpDenominatorCombine WindowFrame->Normal*) @@ -82,7 +82,7 @@ FeynAmpDenominatorCombine.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$130261], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$131269], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynAmpDenominatorCombine", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2009603879], + CellID->440435113], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1765718643], + CellID->625576992], Cell[CellGroupData[{ @@ -390,8 +390,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FeynAmpDenominatorCombine", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -403,7 +403,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 26.743172}", + "built" -> "{2020, 6, 20, 19, 6, 34.520584}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -424,8 +424,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -435,31 +434,31 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4563, 131, 388, 15, 31, "PrimaryExamplesSection", + Cell[4563, 131, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2009603879]}, + CellID->440435113]}, "FeynAmpDenominatorCombine"->{ - Cell[5197, 160, 238, 8, 27, "Input", + Cell[5195, 160, 238, 8, 27, "Input", CellTags->"FeynAmpDenominatorCombine", CellID->1769548352], - Cell[5438, 170, 1186, 42, 61, "Output", + Cell[5436, 170, 1186, 42, 61, "Output", CellTags->"FeynAmpDenominatorCombine"], - Cell[6661, 217, 161, 4, 27, "Input", + Cell[6659, 217, 161, 4, 27, "Input", CellTags->"FeynAmpDenominatorCombine", CellID->102451509], - Cell[6825, 223, 1173, 41, 61, "Output", + Cell[6823, 223, 1173, 41, 61, "Output", CellTags->"FeynAmpDenominatorCombine"], - Cell[8434, 287, 160, 4, 27, "Input", + Cell[8432, 287, 160, 4, 27, "Input", CellTags->"FeynAmpDenominatorCombine", CellID->1679025277], - Cell[8597, 293, 1240, 43, 61, "Output", + Cell[8595, 293, 1240, 43, 61, "Output", CellTags->"FeynAmpDenominatorCombine"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12917, 436}, - {"FeynAmpDenominatorCombine", 13070, 440} + {"PrimaryExamplesSection", 12858, 435}, + {"FeynAmpDenominatorCombine", 13010, 439} } *) (*NotebookFileOutline @@ -470,50 +469,50 @@ Cell[3733, 100, 302, 11, 45, "ObjectNameGrid"], Cell[4038, 113, 500, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4563, 131, 388, 15, 31, "PrimaryExamplesSection", +Cell[4563, 131, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2009603879], + CellID->440435113], Cell[CellGroupData[{ -Cell[4976, 150, 196, 6, 26, "ExampleSection", - CellID->1765718643], +Cell[4975, 150, 195, 6, 26, "ExampleSection", + CellID->625576992], Cell[CellGroupData[{ -Cell[5197, 160, 238, 8, 27, "Input", +Cell[5195, 160, 238, 8, 27, "Input", CellTags->"FeynAmpDenominatorCombine", CellID->1769548352], -Cell[5438, 170, 1186, 42, 61, "Output", +Cell[5436, 170, 1186, 42, 61, "Output", CellTags->"FeynAmpDenominatorCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[6661, 217, 161, 4, 27, "Input", +Cell[6659, 217, 161, 4, 27, "Input", CellTags->"FeynAmpDenominatorCombine", CellID->102451509], -Cell[6825, 223, 1173, 41, 61, "Output", +Cell[6823, 223, 1173, 41, 61, "Output", CellTags->"FeynAmpDenominatorCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[8035, 269, 110, 3, 27, "Input"], -Cell[8148, 274, 249, 8, 51, "Output"] +Cell[8033, 269, 110, 3, 27, "Input"], +Cell[8146, 274, 249, 8, 51, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8434, 287, 160, 4, 27, "Input", +Cell[8432, 287, 160, 4, 27, "Input", CellTags->"FeynAmpDenominatorCombine", CellID->1679025277], -Cell[8597, 293, 1240, 43, 61, "Output", +Cell[8595, 293, 1240, 43, 61, "Output", CellTags->"FeynAmpDenominatorCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[9874, 341, 110, 3, 27, "Input"], -Cell[9987, 346, 279, 9, 51, "Output"] +Cell[9872, 341, 110, 3, 27, "Input"], +Cell[9985, 346, 279, 9, 51, "Output"] }, Open ]] }, Open ]], -Cell[10293, 359, 31, 0, 29, "SectionFooterSpacer"] +Cell[10291, 359, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10361, 364, 270, 12, 31, "SeeAlsoSection", +Cell[10359, 364, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[10634, 378, 232, 7, 56, "SeeAlso"] +Cell[10632, 378, 232, 7, 70, "SeeAlso"] }, Open ]], -Cell[10881, 388, 23, 0, 41, "FooterCell"] +Cell[10879, 388, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorExplicit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorExplicit.nb index 66abfdc54..a730bf10d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorExplicit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorExplicit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15643, 523] -NotebookOptionsPosition[ 11531, 404] -NotebookOutlinePosition[ 14248, 475] -CellTagsIndexPosition[ 14118, 469] +NotebookDataLength[ 15583, 522] +NotebookOptionsPosition[ 11530, 404] +NotebookOutlinePosition[ 14189, 474] +CellTagsIndexPosition[ 14059, 468] WindowTitle->FeynAmpDenominatorExplicit WindowFrame->Normal*) @@ -84,7 +84,7 @@ FeynAmpDenominatorExplicit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$130699], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$131707], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynAmpDenominatorExplicit", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->674842152], + CellID->891184810], Cell["", "SectionHeaderSpacer"], @@ -182,7 +182,7 @@ Cell[BoxData[ RowBox[{"MomentumCombine", "\[Rule]", "False"}], ",", RowBox[{"SmallVariable", "\[Rule]", "False"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{433, 53}, + ImageSize->{433, 54}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[45]="] @@ -207,7 +207,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1215611829], + CellID->433821716], Cell[CellGroupData[{ @@ -217,7 +217,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1252861627], + CellID->1823468778], Cell[CellGroupData[{ @@ -417,7 +417,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 27.960534}", + "built" -> "{2020, 6, 20, 19, 6, 35.528635}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -439,8 +439,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -450,26 +449,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6399, 194, 388, 15, 31, "PrimaryExamplesSection", + Cell[6399, 194, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1215611829]}, + CellID->433821716]}, "FeynAmpDenominatorExplicit"->{ - Cell[7033, 223, 288, 10, 27, "Input", + Cell[7032, 223, 288, 10, 27, "Input", CellTags->"FeynAmpDenominatorExplicit", CellID->1979434489], - Cell[7324, 235, 1300, 44, 64, "Output", + Cell[7323, 235, 1300, 44, 64, "Output", CellTags->"FeynAmpDenominatorExplicit"], - Cell[8661, 284, 164, 4, 27, "Input", + Cell[8660, 284, 164, 4, 27, "Input", CellTags->"FeynAmpDenominatorExplicit", CellID->1414487344], - Cell[8828, 290, 1107, 42, 64, "Output", + Cell[8827, 290, 1107, 42, 64, "Output", CellTags->"FeynAmpDenominatorExplicit"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13555, 451}, - {"FeynAmpDenominatorExplicit", 13709, 455} + {"PrimaryExamplesSection", 13497, 450}, + {"FeynAmpDenominatorExplicit", 13650, 454} } *) (*NotebookFileOutline @@ -483,48 +482,48 @@ Cell[4170, 117, 508, 14, 102, "Usage", Cell[CellGroupData[{ Cell[4703, 135, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->674842152], + CellID->891184810], Cell[5444, 161, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5500, 165, 109, 2, 70, "Input"], -Cell[5612, 169, 726, 18, 74, "Output"] +Cell[5612, 169, 726, 18, 75, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6399, 194, 388, 15, 31, "PrimaryExamplesSection", +Cell[6399, 194, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1215611829], + CellID->433821716], Cell[CellGroupData[{ -Cell[6812, 213, 196, 6, 26, "ExampleSection", - CellID->1252861627], +Cell[6811, 213, 196, 6, 26, "ExampleSection", + CellID->1823468778], Cell[CellGroupData[{ -Cell[7033, 223, 288, 10, 27, "Input", +Cell[7032, 223, 288, 10, 27, "Input", CellTags->"FeynAmpDenominatorExplicit", CellID->1979434489], -Cell[7324, 235, 1300, 44, 64, "Output", +Cell[7323, 235, 1300, 44, 64, "Output", CellTags->"FeynAmpDenominatorExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[8661, 284, 164, 4, 27, "Input", +Cell[8660, 284, 164, 4, 27, "Input", CellTags->"FeynAmpDenominatorExplicit", CellID->1414487344], -Cell[8828, 290, 1107, 42, 64, "Output", +Cell[8827, 290, 1107, 42, 64, "Output", CellTags->"FeynAmpDenominatorExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[9972, 337, 110, 3, 27, "Input"], -Cell[10085, 342, 621, 21, 76, "Output"] +Cell[9971, 337, 110, 3, 27, "Input"], +Cell[10084, 342, 621, 21, 76, "Output"] }, Open ]] }, Open ]], -Cell[10733, 367, 31, 0, 29, "SectionFooterSpacer"] +Cell[10732, 367, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10801, 372, 270, 12, 31, "SeeAlsoSection", +Cell[10800, 372, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11074, 386, 415, 13, 56, "SeeAlso"] +Cell[11073, 386, 415, 13, 56, "SeeAlso"] }, Open ]], -Cell[11504, 402, 23, 0, 41, "FooterCell"] +Cell[11503, 402, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorSimplify.nb index 26cdbb688..13e3ab5ab 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 31096, 1085] -NotebookOptionsPosition[ 24055, 884] -NotebookOutlinePosition[ 28281, 992] -CellTagsIndexPosition[ 28151, 986] +NotebookDataLength[ 31041, 1084] +NotebookOptionsPosition[ 24056, 884] +NotebookOutlinePosition[ 28225, 991] +CellTagsIndexPosition[ 28095, 985] WindowTitle->FeynAmpDenominatorSimplify WindowFrame->Normal*) @@ -81,7 +81,7 @@ FeynAmpDenominatorSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$131625], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$132633], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynAmpDenominatorSimplify", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1104034988], + CellID->2063312335], Cell["", "SectionHeaderSpacer"], @@ -182,7 +182,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1330700296], + CellID->1112302457], Cell[CellGroupData[{ @@ -192,7 +192,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->690731379], + CellID->1414576502], Cell[CellGroupData[{ @@ -884,8 +884,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FeynAmpDenominatorSimplify", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -897,7 +897,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 30.673972}", + "built" -> "{2020, 6, 20, 19, 6, 37.770175}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -921,8 +921,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -934,59 +933,59 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5596, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1330700296]}, + CellID->1112302457]}, "FeynAmpDenominatorSimplify"->{ - Cell[6229, 198, 113, 3, 27, "Input", + Cell[6230, 198, 113, 3, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->792645925], - Cell[6345, 203, 233, 6, 37, "Output", + Cell[6346, 203, 233, 6, 37, "Output", CellTags->"FeynAmpDenominatorSimplify"], - Cell[7010, 229, 297, 9, 27, "Input", + Cell[7011, 229, 297, 9, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->50583569], - Cell[7310, 240, 207, 6, 35, "Output", + Cell[7311, 240, 207, 6, 35, "Output", CellTags->"FeynAmpDenominatorSimplify"], - Cell[7985, 270, 347, 11, 27, "Input", + Cell[7986, 270, 347, 11, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->1115628449], - Cell[8335, 283, 1654, 55, 62, "Output", + Cell[8336, 283, 1654, 55, 62, "Output", CellTags->"FeynAmpDenominatorSimplify"], - Cell[10026, 343, 279, 8, 27, "Input", + Cell[10027, 343, 279, 8, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->1440416368], - Cell[10308, 353, 1253, 44, 64, "Output", + Cell[10309, 353, 1253, 44, 64, "Output", CellTags->"FeynAmpDenominatorSimplify"], - Cell[11598, 402, 357, 11, 27, "Input", + Cell[11599, 402, 357, 11, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->204796635], - Cell[11958, 415, 1307, 46, 63, "Output", + Cell[11959, 415, 1307, 46, 63, "Output", CellTags->"FeynAmpDenominatorSimplify"], - Cell[13302, 466, 435, 14, 27, "Input", + Cell[13303, 466, 435, 14, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->1038515872], - Cell[13740, 482, 2445, 89, 65, "Output", + Cell[13741, 482, 2445, 89, 65, "Output", CellTags->"FeynAmpDenominatorSimplify"], - Cell[16222, 576, 191, 6, 27, "Input", + Cell[16223, 576, 191, 6, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->189899711], - Cell[16416, 584, 2331, 84, 65, "Output", + Cell[16417, 584, 2331, 84, 65, "Output", CellTags->"FeynAmpDenominatorSimplify"], - Cell[18784, 673, 194, 6, 27, "Input", + Cell[18785, 673, 194, 6, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->934998310], - Cell[18981, 681, 2099, 76, 57, "Output", + Cell[18982, 681, 2099, 76, 57, "Output", CellTags->"FeynAmpDenominatorSimplify"], - Cell[21117, 762, 391, 14, 27, "Input", + Cell[21118, 762, 391, 14, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->188914674], - Cell[21511, 778, 1962, 71, 64, "Output", + Cell[21512, 778, 1962, 71, 64, "Output", CellTags->"FeynAmpDenominatorSimplify"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 26240, 933}, - {"FeynAmpDenominatorSimplify", 26394, 937} + {"PrimaryExamplesSection", 26184, 932}, + {"FeynAmpDenominatorSimplify", 26338, 936} } *) (*NotebookFileOutline @@ -1000,7 +999,7 @@ Cell[4018, 114, 662, 16, 119, "Usage", Cell[CellGroupData[{ Cell[4705, 134, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1104034988], + CellID->2063312335], Cell[5447, 160, 31, 0, 70, "SectionHeaderSpacer"], Cell[5481, 162, 66, 1, 70, "Notes", CellID->1067943069] @@ -1009,84 +1008,84 @@ Cell[5481, 162, 66, 1, 70, "Notes", Cell[CellGroupData[{ Cell[5596, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1330700296], + CellID->1112302457], Cell[CellGroupData[{ -Cell[6009, 188, 195, 6, 26, "ExampleSection", - CellID->690731379], +Cell[6009, 188, 196, 6, 26, "ExampleSection", + CellID->1414576502], Cell[CellGroupData[{ -Cell[6229, 198, 113, 3, 27, "Input", +Cell[6230, 198, 113, 3, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->792645925], -Cell[6345, 203, 233, 6, 37, "Output", +Cell[6346, 203, 233, 6, 37, "Output", CellTags->"FeynAmpDenominatorSimplify"] }, Open ]], -Cell[6593, 212, 392, 13, 40, "Notes"], +Cell[6594, 212, 392, 13, 40, "Notes"], Cell[CellGroupData[{ -Cell[7010, 229, 297, 9, 27, "Input", +Cell[7011, 229, 297, 9, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->50583569], -Cell[7310, 240, 207, 6, 35, "Output", +Cell[7311, 240, 207, 6, 35, "Output", CellTags->"FeynAmpDenominatorSimplify"] }, Open ]], -Cell[7532, 249, 428, 17, 40, "Notes"], +Cell[7533, 249, 428, 17, 40, "Notes"], Cell[CellGroupData[{ -Cell[7985, 270, 347, 11, 27, "Input", +Cell[7986, 270, 347, 11, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->1115628449], -Cell[8335, 283, 1654, 55, 62, "Output", +Cell[8336, 283, 1654, 55, 62, "Output", CellTags->"FeynAmpDenominatorSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[10026, 343, 279, 8, 27, "Input", +Cell[10027, 343, 279, 8, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->1440416368], -Cell[10308, 353, 1253, 44, 64, "Output", +Cell[10309, 353, 1253, 44, 64, "Output", CellTags->"FeynAmpDenominatorSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[11598, 402, 357, 11, 27, "Input", +Cell[11599, 402, 357, 11, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->204796635], -Cell[11958, 415, 1307, 46, 63, "Output", +Cell[11959, 415, 1307, 46, 63, "Output", CellTags->"FeynAmpDenominatorSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[13302, 466, 435, 14, 27, "Input", +Cell[13303, 466, 435, 14, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->1038515872], -Cell[13740, 482, 2445, 89, 65, "Output", +Cell[13741, 482, 2445, 89, 65, "Output", CellTags->"FeynAmpDenominatorSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[16222, 576, 191, 6, 27, "Input", +Cell[16223, 576, 191, 6, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->189899711], -Cell[16416, 584, 2331, 84, 65, "Output", +Cell[16417, 584, 2331, 84, 65, "Output", CellTags->"FeynAmpDenominatorSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[18784, 673, 194, 6, 27, "Input", +Cell[18785, 673, 194, 6, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->934998310], -Cell[18981, 681, 2099, 76, 57, "Output", +Cell[18982, 681, 2099, 76, 57, "Output", CellTags->"FeynAmpDenominatorSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[21117, 762, 391, 14, 27, "Input", +Cell[21118, 762, 391, 14, 27, "Input", CellTags->"FeynAmpDenominatorSimplify", CellID->188914674], -Cell[21511, 778, 1962, 71, 64, "Output", +Cell[21512, 778, 1962, 71, 64, "Output", CellTags->"FeynAmpDenominatorSimplify"] }, Open ]] }, Open ]], -Cell[23500, 853, 31, 0, 29, "SectionFooterSpacer"] +Cell[23501, 853, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[23568, 858, 270, 12, 31, "SeeAlsoSection", +Cell[23569, 858, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[23841, 872, 172, 7, 56, "SeeAlso"] +Cell[23842, 872, 172, 7, 56, "SeeAlso"] }, Open ]], -Cell[24028, 882, 23, 0, 41, "FooterCell"] +Cell[24029, 882, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorSplit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorSplit.nb index d254c5432..a9bb07636 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorSplit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpDenominatorSplit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21796, 742] -NotebookOptionsPosition[ 16935, 599] -NotebookOutlinePosition[ 19870, 675] -CellTagsIndexPosition[ 19743, 669] +NotebookDataLength[ 21799, 742] +NotebookOptionsPosition[ 16936, 599] +NotebookOutlinePosition[ 19872, 675] +CellTagsIndexPosition[ 19745, 669] WindowTitle->FeynAmpDenominatorSplit WindowFrame->Normal*) @@ -81,7 +81,7 @@ FeynAmpDenominatorSplit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$132067], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$133075], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynAmpDenominatorSplit", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->945049631], + CellID->598185785], Cell["", "SectionHeaderSpacer"], @@ -201,7 +201,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->39104213], + CellID->991994802], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->567497691], + CellID->970086453], Cell[CellGroupData[{ @@ -612,7 +612,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 31.865841}", + "built" -> "{2020, 6, 20, 19, 6, 38.839044}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -645,31 +645,31 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6133, 188, 386, 15, 31, "PrimaryExamplesSection", + Cell[6133, 188, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->39104213]}, + CellID->991994802]}, "FeynAmpDenominatorSplit"->{ - Cell[6764, 217, 268, 8, 27, "Input", + Cell[6765, 217, 268, 8, 27, "Input", CellTags->"FeynAmpDenominatorSplit", CellID->403484877], - Cell[7035, 227, 2615, 93, 61, "Output", + Cell[7036, 227, 2615, 93, 61, "Output", CellTags->"FeynAmpDenominatorSplit"], - Cell[14194, 485, 414, 12, 45, "Input", + Cell[14195, 485, 414, 12, 45, "Input", CellTags->"FeynAmpDenominatorSplit", CellID->1257504819], - Cell[14611, 499, 454, 15, 51, "Output", + Cell[14612, 499, 454, 15, 51, "Output", CellTags->"FeynAmpDenominatorSplit"], - Cell[15668, 543, 225, 7, 27, "Input", + Cell[15669, 543, 225, 7, 27, "Input", CellTags->"FeynAmpDenominatorSplit", CellID->1174376888], - Cell[15896, 552, 391, 12, 51, "Output", + Cell[15897, 552, 391, 12, 51, "Output", CellTags->"FeynAmpDenominatorSplit"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 19010, 646}, - {"FeynAmpDenominatorSplit", 19159, 650} + {"PrimaryExamplesSection", 19011, 646}, + {"FeynAmpDenominatorSplit", 19161, 650} } *) (*NotebookFileOutline @@ -683,67 +683,67 @@ Cell[4042, 114, 626, 16, 119, "Usage", Cell[CellGroupData[{ Cell[4693, 134, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->945049631], -Cell[5434, 160, 31, 0, 14, "SectionHeaderSpacer"], + CellID->598185785], +Cell[5434, 160, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5490, 164, 106, 2, 27, "Input"], +Cell[5490, 164, 106, 2, 70, "Input"], Cell[5599, 168, 473, 13, 56, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6133, 188, 386, 15, 31, "PrimaryExamplesSection", +Cell[6133, 188, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->39104213], + CellID->991994802], Cell[CellGroupData[{ -Cell[6544, 207, 195, 6, 26, "ExampleSection", - CellID->567497691], +Cell[6545, 207, 195, 6, 26, "ExampleSection", + CellID->970086453], Cell[CellGroupData[{ -Cell[6764, 217, 268, 8, 27, "Input", +Cell[6765, 217, 268, 8, 27, "Input", CellTags->"FeynAmpDenominatorSplit", CellID->403484877], -Cell[7035, 227, 2615, 93, 61, "Output", +Cell[7036, 227, 2615, 93, 61, "Output", CellTags->"FeynAmpDenominatorSplit"] }, Open ]], Cell[CellGroupData[{ -Cell[9687, 325, 84, 2, 27, "Input"], -Cell[9774, 329, 353, 11, 51, "Output"] +Cell[9688, 325, 84, 2, 27, "Input"], +Cell[9775, 329, 353, 11, 51, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10164, 345, 99, 2, 27, "Input"], -Cell[10266, 349, 3268, 106, 61, "Output"] +Cell[10165, 345, 99, 2, 27, "Input"], +Cell[10267, 349, 3268, 106, 61, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[13571, 460, 110, 3, 27, "Input"], -Cell[13684, 465, 473, 15, 51, "Output"] +Cell[13572, 460, 110, 3, 27, "Input"], +Cell[13685, 465, 473, 15, 51, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[14194, 485, 414, 12, 45, "Input", +Cell[14195, 485, 414, 12, 45, "Input", CellTags->"FeynAmpDenominatorSplit", CellID->1257504819], -Cell[14611, 499, 454, 15, 51, "Output", +Cell[14612, 499, 454, 15, 51, "Output", CellTags->"FeynAmpDenominatorSplit"] }, Open ]], Cell[CellGroupData[{ -Cell[15102, 519, 110, 3, 27, "Input"], -Cell[15215, 524, 416, 14, 51, "Output"] +Cell[15103, 519, 110, 3, 27, "Input"], +Cell[15216, 524, 416, 14, 51, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[15668, 543, 225, 7, 27, "Input", +Cell[15669, 543, 225, 7, 27, "Input", CellTags->"FeynAmpDenominatorSplit", CellID->1174376888], -Cell[15896, 552, 391, 12, 51, "Output", +Cell[15897, 552, 391, 12, 51, "Output", CellTags->"FeynAmpDenominatorSplit"] }, Open ]] }, Open ]], -Cell[16314, 568, 31, 0, 29, "SectionFooterSpacer"] +Cell[16315, 568, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[16382, 573, 270, 12, 31, "SeeAlsoSection", +Cell[16383, 573, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[16655, 587, 238, 7, 56, "SeeAlso"] +Cell[16656, 587, 238, 7, 56, "SeeAlso"] }, Open ]], -Cell[16908, 597, 23, 0, 41, "FooterCell"] +Cell[16909, 597, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpList.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpList.nb index f04f504e5..42305a0e0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpList.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynAmpList.nb @@ -79,7 +79,7 @@ FeynAmpList.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$132509], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$133517], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynAmpList", ".html"]], None}]}]}, @@ -205,7 +205,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 33.138252}", + "built" -> "{2020, 6, 20, 19, 6, 39.932617}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalc.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalc.nb index 83c3d8722..f2ed8ebd3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalc.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalc.nb @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$135222], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$136230], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynCalc", ".html"]], None}]}]}, @@ -168,7 +168,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 40.058823}", + "built" -> "{2020, 6, 20, 19, 6, 46.344861}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalc2FORM.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalc2FORM.nb index 30fa2f2c1..24ab8d5d5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalc2FORM.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalc2FORM.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 33037, 1078] -NotebookOptionsPosition[ 24510, 807] -NotebookOutlinePosition[ 29351, 945] -CellTagsIndexPosition[ 29199, 938] +NotebookDataLength[ 32991, 1077] +NotebookOptionsPosition[ 24524, 807] +NotebookOutlinePosition[ 29307, 944] +CellTagsIndexPosition[ 29155, 937] WindowTitle->FeynCalc2FORM WindowFrame->Normal*) @@ -79,7 +79,7 @@ FeynCalc2FORM.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$133444], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$134452], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynCalc2FORM", ".html"]], None}]}]}, @@ -169,7 +169,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1504263802], + CellID->771017043], Cell["", "SectionHeaderSpacer"], @@ -242,7 +242,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1372230660], + CellID->389305769], Cell[CellGroupData[{ @@ -252,7 +252,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->504486489], + CellID->210065479], Cell[CellGroupData[{ @@ -597,81 +597,81 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQtQVNcZgE2baTtpZupjMrE1tNGgohafrUIoURQ1GlMj2kYtTStRqUGJ -g8ZnfMcYJcZHNKn4GFQwGtHxkfiOWo1G0ahV4xtRlIfKS0B3Ydk93eVio3D3 -7r17z/3vf3b/byaZPJg9h+8/3Au7K1/jmHejhv+kTp06Y37h/FvUkPERCQlD -Jvav6/yXv8SPGREbP2xor/ixw2KHJYTE/NT5H3s5/zrzVJ06rn9mImF3mL0D -NJAK/NCMkOMDA6q4e2her7BpFyzs4fnxr7yxK1/np2TLSu4fc7iYsbLT8a+8 -dfS+/h3aS85tWP7lnj0p04Z8cOz+49tzWG7sXpW6fUfy2Pb167/YrHnz4MgP -L1v0r8gJnip4j0lcqwo79wKwGfmLVdjrCXarshQfiu6x5Lolb3vMzPQSnXoc -+Tv79/4ip5JZL38QErkxz653c/bCb+JeX5JRzpj10gddBh8t+XGp4sNj+i25 -Vu6aycpufXbqvgRxhrcKnmMS16r7nXsD1Iz8yirY9QTaqi03bWC76OP6jhxj -losf9pl67MSa5LN67TjvQiff6THnspVVZq/tEjLnilXv49nvbO4dnnjVqZQ9 -OJMQOencw///r8JvosKmXnDdzMqvzo/8x3d6NTyCk1XuKjiOSVyrCjv3BqgZ -+ZVVsOuJUVblseVsGvqn5wIG6r/e/jAjInpK6jV9R7cK510otPuOfEd5xrKI -ln8/XqL729uSo282DU3JrnSa/++s6KWue1k19ryNXUPnus6I9drng6afKtW7 -lAQ3q9xVcByTuFbd79wboGbkX1ahricGWZWn4nba5IVfJ7YPVLI93j25ubmP -PqrkRNy/UrIqlNdT9VCVOV9EBHXuGj16RuKCvh36frw186HbO5yqB7RcnBbc -qFOfaau3bUlNPpD3xB5tOWkj+k1I/mpbyqq9t3V/ZyLBzyp3FRzHJK5VpZ1r -fzS4GWm2Wnlne+yodMXrKFarcNcTI6zKU5G1YVLSpfuZn3VQtF1ZdCz5vQER -kRM+mRn3Wqv6DYJjNuXatK9Wjb30XNqC+StS162cF/fXgQPijxTVOJ2O/F0D -ui3N9GD6Mcpvfb0gcXnK0thmz/zs+R4jZ63JfPK5btvNpPCQj3XebtXD0apW -FR7dasB3rWraOfxx5Ujl7TXd++wvcv8BaK1qwJNPzQPyhEerbvZ5I2XSyqsW -VnHDg23mKNj96m8CR++7V8ns9756/bm6ndbnevdDk73w4Liuf/78mus2UnF9 -UdsXIrfdrfFILj2h41Q/9+MoSX+vY+ekmxXMeml6i+df3lBrZxWZn4a2HXee -w88lauBpVZsKFW5V48tWNezcjOPKEw9XBrxWVePZp8YBqcCr6601Y/Wk1der -PmWPtosPv9m45ZSqp5RZ2anYxi/0+0+xVzstPRkf1Hzk92VVu85e+3JA+Prc -Sq8e6RHO6b8a0Kbqtlp6IqZV+Ios77/zVsSWszGmZ+ca9B55pPiJG7MpViV4 -uiWrVYh6XH+0GhpUr0GbMN+1CnZQmVqrbrBeSezSJrhNFS0Dnvl53aatI949 -Uyb7saXpMS81H3226g5huTg9uNnQb1WtUYuyk0N+1yjqSNW73+x3NkcEdFx5 -S6cfW9bKPzTs4NRsv7drxIA5p0tNfYuMKVYluLolqy7EP65K34n5hFVTDqqX -zyc8wpa1omNThbvbgzPxzZoMSXe9bmfLXj84fNSufC9vRwW7O9erG57qegXT -emVZeKN2i67rfVbFXnp+/cR3xn66YeuW/RkPEL0fEc6qBFe3ZNWF+MdV5ZVB -XKumHFRjr7eWC5NbNuz4t4TZCxcnzpi0+MBd72/xtrwtbwfX+9VL3YdPn/d+ -p1//fvZlnS9d2/N3/bNFQINfPv2Uk6frth9j7Ls5tABntXo9fm7JavViwh9X -PtdbtFZNOqg6r7fKlF/9qPWLUQd0vH4ox/2j0U1ajNf5aktF7s6PZm26KY3L -YSs8sXDCMYMs8MYYqxI63ZLV2vj1ccVqVVSfilRkLmn/2547OP8Zt9ITwwOb -xp1+oOcxKvM29QyM3FL9yqa99Oq+rXuzOb3V02iMsSqhzy1ZlcGvjytSq8L6 -dI/DcuvwqrcbP9uw77LDOVZOvh0Pb3735fth9Z4NmnqwSM8zlo6yc4lvtGgY -0LbHwNgJc5M2f19g3EuTPDHEavVD63dLVms8rl8fV8RWhfRJEARBEARBEARB -EARBEARBEE/gA0kLQj007schG8jxiQFBJnK0IWjBBDCO4wXiFkyM2BtoFInr -HHnB2Sp8wAulVfcAJnK8QNCCCUwcxxtQFUy0YMjeIKNIfOfICSOsgga8wKxi -7cLAxDuQF0xg4jjeYErBhIdVQ/YGGEXiPEeG1ypkwIu/VXnwdmFA4h3YCyYg -cRxvMKNgwsWqIXuDjCLxnSNmq5ABL95W5UHchQGKd+DuwgDFcbQ/mgkFE15W -te2Nhw3tD6gwd9VzVAdiq5ABLy1WMdR2uHdhtMVcAAsmHsHZMOLrE75gYopV -CVTBHb6RI8xWNaD7uGqyiqC2w70LoyXmAlsw8QDShhFfn+AFEzOsSiAL7nCN -HKG2qhoOx1WbVXFqOxKcIybQBRN0XRghfUrg7sIwQYM7iM+qhJDBHfFqOxK8 -IyaI0jA+0TBCVzDxobPK8BxXX7EK71OY2o4E74gJzjSMuA0jzAUT0c8qQ3lc -hbYK71OY2k71elwjJljTMKI2jHAXTMQ+qwzpcRXYqhk+BaztSOiPmIha3MDa -MBLVpwTus8oE1YvYqpA+FcHbhWECFzeQNoyE9SmB+qwyUfXitSqmT/fg7sIw -QYsbiBtGQvqUQH9WmYh6cVsVzydBEARBEARBEARBEARBEARB4ELQoIag2ya8 -hiZuEIKLNaSfAtZ/4V6u4QffShF09ARho4TrrM1J8yC0KsFvY9BiEV8BZDCk -UQLYf2F84x0c4RpqgY6eoCy/MH6zNifNg9Uqx42ZIhboCoC1pgHZf2F84x0M -aaUIOHqCs/zC+M3alDQPWqscN2aKWM5XAHnw1jQA+y8uOMY7sFaKoKMnKMsv -LjjN2pw0D1qr/DZmjliuVwB5ENc0QPsvTGW8Qx1oK0Ww0RPOjRKElSIz0jxI -ezp8v2BNaR6pvQJg6OloRfT+iwKYK0WagSq/4OzpwPvkW37xCEermjaGUKx6 -EPR0tOED/Re3oK4UaQSw/IKwp2OGT87lFw/wtKphYyjFaoB6Ov7d05EQvPyC -rqcjpE8J3GdVVLHU05HAEihhPmWVwYpF19MR3KdnzDqr4oulng62QAkT3yqD -FYuupyO4T02AnlXxxVJPB1ughIlulUGLRdfTEdynJkDPqvhiqacjXFADt1Um -qFislSImqE8Jw86qv4uVA29Ngwkc1EBtlYkqFmmliInqU8Kws+rvYmuBu6bB -BA1qoLfKRBSLuFLERPQpYdRZ9XuxBEEQBEEQBEEQBEEQBEEQhL8geK6CqIbm -6BvQHH0O0FyF+3KHIWUff0K550JFHlGA6/IoDpG+Ho0BMlfhvtxhSInDr1Cc -IxV5hAG2y+NuiPT1WBOo8gvHXIVCuUNDiaM8e//azRfKTDsA9vun09Yducfr -HYMgc8RY5KE5ygLb5XE3RP/9epQHrvzCMVfhvtyhusRhy9s6+q3lGSb/WZSH -PyyMnrivQN+vo6sCZo74ijw0RzcAd3ncDNFvvx7lgSy/8IqYKJc71JU47Pk7 -o0Pi5D5nVRtQh5qHchTuj+404ojic2egrRkPc0RW5BFqjioA/Hrk26tyO0Qf -/Hr0GpU1DReQwRpPa+lPijgPY+egQbI/20AHWRyFe18L6rO7QGHAvFozLuDD -Q0YWecSao0cg58i3V6UTH5ujPBpqGoC5Cs9rcUiKlB4fGNh+sfzv3dQUZLFc -T1uU9K2bnz/UdUMsF6e0bpVwVuHT4deaAQ8PGVzkEWuOHgCdI99elV58ao7y -aKhpgHVAwNYqOhgR8Me12bJj0ZIOsWWn9gwIGnFK9rfiq+yGlGd80i5w8PHa -T2xxb81AzhFmRcHmyKluAzxHgOWEmKMutNQ0IHMVMGuVHI1q0uGzG3L3U/Ag -i/XSzNYtRp5R+LV0vFoz8D0Xo1cUa45KIJ4jwHK+M0cVeKppgOYqYNYqz5jf -odUoOafwQZaSY4Oah63LUViFU2vGhJ6L0SuKNUeVYJsjwHI+OUd3eJgvZK4C -bC3rldkhYf++WUs4fJDFenl2SDflH9H4XG/hey4AKwo1R7ULopojzHK+OEev -gMxVQK5lLzo0vt/cmq8XgAdZHCXpk6NmnTL+J3v47AjMijRHQ+cItpy/zVEe -yFwFeBrDmrV9YdITbzyEDrJYs3YsWbQnl+Obr9wAnx0BXJHm6BvL+dEc3QGZ -qzAjjeEozy8ol6ZpQpDFbrlTVA5yJ4V3C7sizdEXlvOfORIEQRBe8z9y9YId - +1:eJztnQlwFFUagHHX2rVcq+QoS1zMrmCAABuulJCYjRCIIIiLBFyBzbpLBLIY +iFRAwCA3iBCRQ1A5K0BAkGM5lFtAWBACAgtyE0ICOYDcCcxMJjO9M+mwQtLd +0z39+u//zfxflZYHNe/l+990JzMDX+PY96OH/qpOnTqjnnD9LXrQ2MjExEEf +9q3r+pe3EkYNi0sYMrhHwughcUMSQ2N/7fqPPVx/nXmsTh33Pws84XCavQM0 +kAr80IyQ4wMDqrhzaHaP8EkXLML9n8e+8uaufJ1fkj0rpW/s4WJBKD+d8Mo7 +R0v079BRem790m/27EmdNGj6sZKHt+e03Ni9Ys32HSmj29ev/0Kz5s2Doz6+ +bNG/IiNYqmA9Jn6tKuzcC8Bm5C9WYa8n2K1KUnwoptvC65a87bFT00p16nHm +7+zb8+ucSsF6eXpo1IY8h97NOQq/j39jYbpNEKyXpnceeLT0l6WKD4/qs/Ca +zT2T5V177dR9CWIMaxUsx8SvVfmdewPUjPzKKtj1BNqqPXdj/3Yxx/UdOUGw +XPy418RjJ1alnNVrx3UXOvlet5mXrUJl9urOoTOvWPU+nuP25p4RyVddSoV7 +ZxKjks7d////Kvw+OnziBffNzHZ1TtQ/ftSr4QGMrDJXwXBM/FpV2Lk3QM3I +r6yCXU+MsiqNPWfT4D8/E9Bf//X2/JTImAlrruk7ulW47kJhr+7Id9rSF0e2 +/PvxUt3f3pYefbtpWGp2pcv8f6fFLHLfy6px5G3oEjbLfUas174cMPlUmd6l +RJhZZa6C4Zj4tSq/c2+AmpF/WYW6nhhkVZqKWxvHz/suuX2gku2x8uTm5j74 +VaUn4v+VmlWhvJ6qh6rM+ToyqFOXmJFTkuf2Dun96daM+7J3OFUPaLk4KbhR +x16TVm7bsiblQN4je7TnbBzWZ1zKt9tSV+y9pfs7ExF2VpmrYDgmfq0q7Vz7 +o8HNSLPVytvb40akKV5HsVqFu54YYVWaiqz1SUsulWR8EaJou7LoWMoH/SKj +xn02Nf71VvUbBMduyrVrX60aR9m5jXPnLFuzdvns+L/275dwpKjG6XTm7+rX +dVGGB9MPYbv53dzkpamL4po9+Ztnuw2ftirj0de67ZlLIkI/1Xm7VQ9Dq1pV +eHSrAd+1qmnn8MeVIZW3Vr3aa3+R/C9Aa1UDnnxqHpAnPFqV2eeN1KTlVy1C +xQ0PtgVnwe7Xfh84ct/dSsFx99s3nqnbcV2udz80OQoPjunyly+vuW8jFdfn +t30+atudGo/k1hM2RvVrP87StA86dFqSWSFYL01u8ezL62vtrCLj87C2Y35m +8HOJGlha1aZChVvV+LJVDTs347iyxMOVAa9V1Xj2qXFAKvDqemtNX5m08nrV +l+zRdvHhtxu3nFD1krJQfiqu8fN9fij2aqdlJxOCmg//qbxq19mrXw6IWJdb +6dUjPcA1/dcC2lTdVstOxLaKWJbl/XfeithzNsR271SDnsOPFD9yYzbFqghL +t2S1Cl6P6y9Ww4LqNWgT7rtWwQ6qoNaqDNYryZ3bBLepomXAk7+t27R15Ptn +yiV/bVla7IvNR56tukNYLk4Objb4P6rWqEX5yUF/bBR9pOrTb47bmyMDOiy/ +qdOP/ebylxqGuDQ77u4a1m/m6TJTPyJjilURpm7Jqhv+j6vSd2I+YdWUg+rl +6wkPsGct69BU4e5270xCsyaD0tzv29mz1w2MGLEr38vbUcHuTvXqRqxxv4Np +vbI4olG7+df1vqriKDu/Lum90Z+v37plf/o9RJ9HhLMqwtQtWXXD/3FVeWXg +16opB9XY663lwviWDTv8LXHGvAXJU5IWHLjj/S3enrfl3eB6T7/46tDJsz/q ++NyfZlzW+da1I3/XP1sENPjd44+5eLxu+1HGfppDC3BWq9dj55asVi/G/XFl +c71Fa9Wkg6rzequM7eonrV+IPqDj/UMpSo7GNGkxVue7LRW5Oz+ZtilTHJfT +Xnhi3rhjBllgjTFWRXS6Jau18evjitUqrz4VqchY2P4P3Xcw/j1uZSeGBjaN +P31Pz2NU5m3qHhi1pfqdTUfZ1X1b92Yz+qin0RhjVUSfW7IqgV8fV6RWufUp +j9Ny8/CKdxs/1bD34sM5Vka+nfczf/zmo/B6TwVNPFik5xVLZ/m55DdbNAxo +261/3LhZSzb/VGDcW5MsMcRq9UPrd0tWazyuXx9XxFa59EkQBEEQBEEQBEEQ +BEEQBEEQj+ADSQtCPTTuhyEbyPGJAUEmcrTBacEEMI7jBfwWTIzYG2gUiekc +WcHYKnzAC6VVeQATOV7AacEEJo7jDagKJlowZG+QUSS2c2SEEVZBA15gVrF2 +YWDiHcgLJjBxHG8wpWDCwqohewOMIjGeo4DXKmTAi71VafB2YUDiHdgLJiBx +HG8wo2DCxKohe4OMIrGdI2arkAEv1lalQdyFAYp34O7CAMVxtD+aCQUTVla1 +7Y2FDe0PqDB31XNUB2KrkAEvLVYx1HaYd2G0xVwACyYewdkwYusTvmBiilUR +VMEdtpEjzFY1oPu4arKKoLbDvAujJeYCWzDxANKGEVuf4AUTM6yKIAvuMI0c +obaqGgbHVZtVfmo7IowjJtAFE3RdGC59iuDuwgicBncQn1URLoM7/NV2RFhH +TBClYXyiYYSuYOJDZ1XAc1x9xSq8T25qOyKsIyY40zD8NowwF0x4P6sCyuPK +tVV4n9zUdqrXYxoxwZqG4bVhhLtgwvdZFZAeV46tmuGTw9qOiP6ICa/FDawN +I159iuA+qwKnehFb5dKnIni7MALHxQ2kDSNufYqgPqsCr3rxWuXTpzy4uzAC +p8UNxA0jLn2KoD+rAo96cVvlzydBEARBEARBEARBEARBEARB4ILToAan2ya8 +hiZuEJyLNaSfAtZ/YV6uYQfbShF09ARho4TprM1J8yC0KsJuY9BiEV8BJDCk +UQLYfxHYxjsYwjTUAh09QVl+EdjN2pw0D1arDDdmiligKwDWmgZk/0VgG+8Q +kFaKgKMnOMsvArtZm5LmQWuV4cZMEcv4CiAN3poGYP/FDcN4B9ZKEXT0BGX5 +xQ2jWZuT5kFrld3GzBHL9AogDeKaBmj/RVAZ71AH2koRbPSEcaMEYaXIjDQP +0p4O2yesKc0jtVcADD0drfDef1EAc6VIM1DlF5w9HXifbMsvHmFoVdPGEIpV +D4KejjZ8oP8iC+pKkUYAyy8Iezpm+GRcfvEAS6saNoZSrAaop+PfPR0Rzssv +6Ho6XPoUwX1WeRVLPR0RLIESwaesCrBi0fV0OPfpGbPOKv9iqaeDLVAi8G9V +gBWLrqfDuU9NgJ5V/sVSTwdboETg3aoALRZdT4dzn5oAPav8i6WeDndBDdxW +BU7FYq0UCZz6FDHsrPq7WCnw1jQEjoMaqK0KvIpFWikSePUpYthZ9XextcBd +0xA4DWqgtyrwKBZxpUjg0aeIUWfV78USBEEQBEEQBEEQBEEQBEEQ/gLnuQqi +Gpqjb0Bz9DlAcxXy5Q5Dyj7+hHLPhYo8vADX5VEcIj0fjQEyVyFf7jCkxOFX +KM6RijzcANvlkRsiPR9rAlV+YZirUCh3aChx2LL3r/73xXLTDoCj5PSmtUfu +svrEIMgcMRZ5aI6SwHZ55Ibov89HaeDKLwxzFfLlDtUlDnve1pHvLE03+fei +3D8/L+bDfQX6/ji6KmDmiK/IQ3OUAbjLIzNEv30+SgNZfmEVMVEud6grcTjy +d8aExkt9zao2oA41D+Us3B/TcdgRxdfOQFszHuaIrMjD1RxVAPh8ZNurkh2i +Dz4fvUZlTcMNZLDG01r6kyKuw9gpaIDkzzbQQRZn4d7Xg3rtLlAYMKvWjBv4 +8JCRRR6+5ugRyDmy7VXpxMfmKI2GmgZgrsLzWgySImXH+we2XyD9525qC7LY +S7LvyP3GcnXdEMvFCa1bJZ5V+HLYtWbAw0MGF3n4mqMHQOfItlelF5+aozQa +ahpgHRCwtYoORga8tDpb8mUaLemQisyvQp5+7i3pNwFUdkNs6Z+1Cxx4vPYL +W8xbM5BzhFmRszkyqtsAzxFgOS7mqAstNQ3IXAXMWqVHo5uEfHFD6n6qLR1S +WXR6zw83JBvlarsh1ktTW7cYfkbhj6Vj1ZqB77kYvSJfc1QC8RwBlvOdOarA +U00DNFcBs5YtfU5IqxFSTuGDLKXHBjQPX5ujsAqj1owJPRejV+RrjirBNkeA +5XxyjnJ4mC9krgJsLeuVGaHhX2XWEg4fZLFenhHaVflHNDbXW/ieC8CKXM1R +7YKo5giznC/O0SsgcxWQazmKDo3tM6vm+wXgQRZnadr46GmnjP/JHj47ArMi +zdHQOYIt529zlAYyVwGexrBmbZ+35JEPHkIHWaxZOxbO35PL8MNXMsBnRwBX +pDn6xnJ+NEc5IHMVZqQxnLb8Aps4TROCLA7L7SIbyJ0U3i3sijRHX1jOf+ZI +EARBeM3/ABmugoM= "], {{0, 73}, {464, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -685,7 +685,7 @@ qzAjjeEozy8ol6ZpQpDFbrlTVA5yJ4V3C7sizdEXlvOfORIEQRBe8z9y9YId ImageRegion->{{0, 1}, {0, 1}}, CellTags->{"FeynCalc2FORM", "RasterizedOutput"}, CellLabel->"Out[1]=", - CellID->780042133] + CellID->272149842] }, Open ]], Cell[BoxData[ @@ -820,7 +820,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 35.290011}", + "built" -> "{2020, 6, 20, 19, 6, 41.842728}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -841,8 +841,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -852,94 +851,94 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "FeynCalc2FORM"->{ - Cell[5939, 182, 146, 4, 70, "Input", + Cell[5938, 182, 146, 4, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1031702605], - Cell[6088, 188, 1502, 34, 113, "Output", + Cell[6087, 188, 1502, 34, 113, "Output", CellTags->"FeynCalc2FORM"], - Cell[8284, 258, 292, 10, 27, "Input", + Cell[8282, 258, 292, 10, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1451127405], - Cell[8579, 270, 829, 34, 59, "Output", + Cell[8577, 270, 829, 34, 59, "Output", CellTags->"FeynCalc2FORM"], - Cell[9445, 309, 155, 5, 27, "Input", + Cell[9443, 309, 155, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->208321779], - Cell[9603, 316, 114, 2, 23, "Print", + Cell[9601, 316, 114, 2, 23, "Print", CellTags->"FeynCalc2FORM"], - Cell[9754, 323, 216, 7, 27, "Input", + Cell[9752, 323, 216, 7, 27, "Input", CellTags->"FeynCalc2FORM", CellID->14977898], - Cell[9973, 332, 601, 25, 37, "Output", + Cell[9971, 332, 601, 25, 37, "Output", CellTags->"FeynCalc2FORM"], - Cell[10611, 362, 156, 5, 27, "Input", + Cell[10609, 362, 156, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1598383483], - Cell[10770, 369, 112, 2, 23, "Print", + Cell[10768, 369, 112, 2, 23, "Print", CellTags->"FeynCalc2FORM"], - Cell[11049, 382, 231, 7, 27, "Input", + Cell[11047, 382, 231, 7, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1937829856], - Cell[11283, 391, 1071, 42, 40, "Output", + Cell[11281, 391, 1071, 42, 40, "Output", CellTags->"FeynCalc2FORM"], - Cell[12391, 438, 156, 5, 27, "Input", + Cell[12389, 438, 156, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1415350890], - Cell[12550, 445, 126, 2, 23, "Print", + Cell[12548, 445, 126, 2, 23, "Print", CellTags->"FeynCalc2FORM"], - Cell[12713, 452, 317, 10, 27, "Input", + Cell[12711, 452, 317, 10, 27, "Input", CellTags->"FeynCalc2FORM", CellID->2088847593], - Cell[13033, 464, 1199, 47, 40, "Output", + Cell[13031, 464, 1199, 47, 40, "Output", CellTags->"FeynCalc2FORM"], - Cell[14269, 516, 156, 5, 27, "Input", + Cell[14267, 516, 156, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1981124799], - Cell[14428, 523, 126, 2, 23, "Print", + Cell[14426, 523, 126, 2, 23, "Print", CellTags->"FeynCalc2FORM"], - Cell[14711, 535, 346, 11, 27, "Input", + Cell[14709, 535, 346, 11, 27, "Input", CellTags->"FeynCalc2FORM", CellID->118791271], - Cell[15082, 550, 351, 11, 45, "Input", + Cell[15080, 550, 351, 11, 45, "Input", CellTags->"FeynCalc2FORM", CellID->2027596058], - Cell[15436, 563, 240, 7, 37, "Output", + Cell[15434, 563, 240, 7, 37, "Output", CellTags->"FeynCalc2FORM"], - Cell[15855, 582, 387, 12, 27, "Input", + Cell[15853, 582, 387, 12, 27, "Input", CellTags->"FeynCalc2FORM", CellID->730601730], - Cell[16245, 596, 5059, 91, 94, "Output", + Cell[16243, 596, 5075, 91, 94, "Output", CellTags->{"FeynCalc2FORM", "RasterizedOutput"}, - CellID->780042133], - Cell[21319, 690, 227, 7, 27, "Input", + CellID->272149842], + Cell[21333, 690, 227, 7, 27, "Input", CellTags->"FeynCalc2FORM", CellID->404985950], - Cell[21571, 701, 393, 12, 45, "Input", + Cell[21585, 701, 393, 12, 45, "Input", CellTags->"FeynCalc2FORM", CellID->69651380], - Cell[21967, 715, 1450, 39, 244, "Output", + Cell[21981, 715, 1450, 39, 244, "Output", CellTags->"FeynCalc2FORM"], - Cell[23432, 757, 331, 11, 27, "Input", + Cell[23446, 757, 331, 11, 27, "Input", CellTags->"FeynCalc2FORM", CellID->687280976], - Cell[23766, 770, 147, 5, 27, "Input", + Cell[23780, 770, 147, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->261285927]}, "PrimaryExamplesSection"->{ - Cell[7651, 229, 388, 15, 31, "PrimaryExamplesSection", + Cell[7650, 229, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1372230660]}, + CellID->389305769]}, "RasterizedOutput"->{ - Cell[16245, 596, 5059, 91, 94, "Output", + Cell[16243, 596, 5075, 91, 94, "Output", CellTags->{"FeynCalc2FORM", "RasterizedOutput"}, - CellID->780042133]} + CellID->272149842]} } *) (*CellTagsIndex CellTagsIndex->{ - {"FeynCalc2FORM", 26472, 853}, - {"PrimaryExamplesSection", 28913, 927}, - {"RasterizedOutput", 29057, 931} + {"FeynCalc2FORM", 26429, 852}, + {"PrimaryExamplesSection", 28870, 926}, + {"RasterizedOutput", 29013, 930} } *) (*NotebookFileOutline @@ -951,135 +950,135 @@ Cell[CellGroupData[{ Cell[3936, 112, 1015, 31, 211, "Usage", CellID->2010081510], Cell[CellGroupData[{ -Cell[4976, 147, 739, 24, 31, "NotesSection", +Cell[4976, 147, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1504263802], -Cell[5718, 173, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5752, 175, 162, 3, 70, "Notes"], + CellID->771017043], +Cell[5717, 173, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5751, 175, 162, 3, 49, "Notes"], Cell[CellGroupData[{ -Cell[5939, 182, 146, 4, 70, "Input", +Cell[5938, 182, 146, 4, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1031702605], -Cell[6088, 188, 1502, 34, 113, "Output", +Cell[6087, 188, 1502, 34, 113, "Output", CellTags->"FeynCalc2FORM"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7651, 229, 388, 15, 31, "PrimaryExamplesSection", +Cell[7650, 229, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1372230660], + CellID->389305769], Cell[CellGroupData[{ -Cell[8064, 248, 195, 6, 26, "ExampleSection", - CellID->504486489], +Cell[8062, 248, 195, 6, 26, "ExampleSection", + CellID->210065479], Cell[CellGroupData[{ -Cell[8284, 258, 292, 10, 27, "Input", +Cell[8282, 258, 292, 10, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1451127405], -Cell[8579, 270, 829, 34, 59, "Output", +Cell[8577, 270, 829, 34, 59, "Output", CellTags->"FeynCalc2FORM"] }, Open ]], Cell[CellGroupData[{ -Cell[9445, 309, 155, 5, 27, "Input", +Cell[9443, 309, 155, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->208321779], -Cell[9603, 316, 114, 2, 23, "Print", +Cell[9601, 316, 114, 2, 23, "Print", CellTags->"FeynCalc2FORM"] }, Open ]], Cell[CellGroupData[{ -Cell[9754, 323, 216, 7, 27, "Input", +Cell[9752, 323, 216, 7, 27, "Input", CellTags->"FeynCalc2FORM", CellID->14977898], -Cell[9973, 332, 601, 25, 37, "Output", +Cell[9971, 332, 601, 25, 37, "Output", CellTags->"FeynCalc2FORM"] }, Open ]], Cell[CellGroupData[{ -Cell[10611, 362, 156, 5, 27, "Input", +Cell[10609, 362, 156, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1598383483], -Cell[10770, 369, 112, 2, 23, "Print", +Cell[10768, 369, 112, 2, 23, "Print", CellTags->"FeynCalc2FORM"] }, Open ]], Cell[CellGroupData[{ -Cell[10919, 376, 105, 2, 9, "ExampleDelimiter"], +Cell[10917, 376, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[11049, 382, 231, 7, 27, "Input", +Cell[11047, 382, 231, 7, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1937829856], -Cell[11283, 391, 1071, 42, 40, "Output", +Cell[11281, 391, 1071, 42, 40, "Output", CellTags->"FeynCalc2FORM"] }, Open ]], Cell[CellGroupData[{ -Cell[12391, 438, 156, 5, 27, "Input", +Cell[12389, 438, 156, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1415350890], -Cell[12550, 445, 126, 2, 23, "Print", +Cell[12548, 445, 126, 2, 23, "Print", CellTags->"FeynCalc2FORM"] }, Open ]], Cell[CellGroupData[{ -Cell[12713, 452, 317, 10, 27, "Input", +Cell[12711, 452, 317, 10, 27, "Input", CellTags->"FeynCalc2FORM", CellID->2088847593], -Cell[13033, 464, 1199, 47, 40, "Output", +Cell[13031, 464, 1199, 47, 40, "Output", CellTags->"FeynCalc2FORM"] }, Open ]], Cell[CellGroupData[{ -Cell[14269, 516, 156, 5, 27, "Input", +Cell[14267, 516, 156, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->1981124799], -Cell[14428, 523, 126, 2, 23, "Print", +Cell[14426, 523, 126, 2, 23, "Print", CellTags->"FeynCalc2FORM"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[14603, 531, 105, 2, 9, "ExampleDelimiter"], -Cell[14711, 535, 346, 11, 27, "Input", +Cell[14601, 531, 105, 2, 9, "ExampleDelimiter"], +Cell[14709, 535, 346, 11, 27, "Input", CellTags->"FeynCalc2FORM", CellID->118791271], Cell[CellGroupData[{ -Cell[15082, 550, 351, 11, 45, "Input", +Cell[15080, 550, 351, 11, 45, "Input", CellTags->"FeynCalc2FORM", CellID->2027596058], -Cell[15436, 563, 240, 7, 37, "Output", +Cell[15434, 563, 240, 7, 37, "Output", CellTags->"FeynCalc2FORM"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[15725, 576, 105, 2, 9, "ExampleDelimiter"], +Cell[15723, 576, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[15855, 582, 387, 12, 27, "Input", +Cell[15853, 582, 387, 12, 27, "Input", CellTags->"FeynCalc2FORM", CellID->730601730], -Cell[16245, 596, 5059, 91, 94, "Output", +Cell[16243, 596, 5075, 91, 94, "Output", CellTags->{"FeynCalc2FORM", "RasterizedOutput"}, - CellID->780042133] + CellID->272149842] }, Open ]], -Cell[21319, 690, 227, 7, 27, "Input", +Cell[21333, 690, 227, 7, 27, "Input", CellTags->"FeynCalc2FORM", CellID->404985950], Cell[CellGroupData[{ -Cell[21571, 701, 393, 12, 45, "Input", +Cell[21585, 701, 393, 12, 45, "Input", CellTags->"FeynCalc2FORM", CellID->69651380], -Cell[21967, 715, 1450, 39, 244, "Output", +Cell[21981, 715, 1450, 39, 244, "Output", CellTags->"FeynCalc2FORM"] }, Open ]], -Cell[23432, 757, 331, 11, 27, "Input", +Cell[23446, 757, 331, 11, 27, "Input", CellTags->"FeynCalc2FORM", CellID->687280976], -Cell[23766, 770, 147, 5, 27, "Input", +Cell[23780, 770, 147, 5, 27, "Input", CellTags->"FeynCalc2FORM", CellID->261285927] }, Open ]] }, Open ]], -Cell[23940, 779, 31, 0, 29, "SectionFooterSpacer"] +Cell[23954, 779, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[24008, 784, 270, 12, 31, "SeeAlsoSection", +Cell[24022, 784, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[24281, 798, 187, 4, 56, "SeeAlso"] +Cell[24295, 798, 187, 4, 56, "SeeAlso"] }, Open ]], -Cell[24483, 805, 23, 0, 41, "FooterCell"] +Cell[24497, 805, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcExternal.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcExternal.nb index c14665e6a..a1d11505c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcExternal.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcExternal.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18355, 644] -NotebookOptionsPosition[ 13086, 483] -NotebookOutlinePosition[ 16484, 577] -CellTagsIndexPosition[ 16364, 571] +NotebookDataLength[ 18296, 643] +NotebookOptionsPosition[ 13085, 483] +NotebookOutlinePosition[ 16426, 576] +CellTagsIndexPosition[ 16306, 570] WindowTitle->FeynCalcExternal WindowFrame->Normal*) @@ -79,7 +79,7 @@ FeynCalcExternal.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$133892], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$134900], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynCalcExternal", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->771519112], + CellID->468668040], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1246622663], + CellID->441461993], Cell[CellGroupData[{ @@ -483,8 +483,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FeynCalcExternal", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -496,7 +496,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 36.479239}", + "built" -> "{2020, 6, 20, 19, 6, 42.943839}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -516,8 +516,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -529,49 +528,49 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4395, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->771519112]}, + CellID->468668040]}, "FeynCalcExternal"->{ - Cell[5028, 156, 180, 5, 27, "Input", + Cell[5027, 156, 180, 5, 27, "Input", CellTags->"FeynCalcExternal", CellID->642848596], - Cell[5211, 163, 286, 10, 40, "Output", + Cell[5210, 163, 286, 10, 40, "Output", CellTags->"FeynCalcExternal"], - Cell[5534, 178, 135, 4, 27, "Input", + Cell[5533, 178, 135, 4, 27, "Input", CellTags->"FeynCalcExternal", CellID->546432132], - Cell[5672, 184, 211, 6, 51, "Output", + Cell[5671, 184, 211, 6, 51, "Output", CellTags->"FeynCalcExternal"], - Cell[5920, 195, 469, 14, 27, "Input", + Cell[5919, 195, 469, 14, 27, "Input", CellTags->"FeynCalcExternal", CellID->1924736613], - Cell[6392, 211, 1747, 72, 42, "Output", + Cell[6391, 211, 1747, 72, 42, "Output", CellTags->"FeynCalcExternal"], - Cell[8176, 288, 135, 4, 27, "Input", + Cell[8175, 288, 135, 4, 27, "Input", CellTags->"FeynCalcExternal", CellID->127506318], - Cell[8314, 294, 551, 16, 51, "Output", + Cell[8313, 294, 551, 16, 51, "Output", CellTags->"FeynCalcExternal"], - Cell[8902, 315, 140, 4, 27, "Input", + Cell[8901, 315, 140, 4, 27, "Input", CellTags->"FeynCalcExternal", CellID->1535054786], - Cell[9045, 321, 1479, 60, 42, "Output", + Cell[9044, 321, 1479, 60, 42, "Output", CellTags->"FeynCalcExternal"], - Cell[10561, 386, 136, 4, 27, "Input", + Cell[10560, 386, 136, 4, 27, "Input", CellTags->"FeynCalcExternal", CellID->1247696784], - Cell[10700, 392, 992, 27, 103, "Output", + Cell[10699, 392, 992, 27, 103, "Output", CellTags->"FeynCalcExternal"], - Cell[11729, 424, 182, 6, 27, "Input", + Cell[11728, 424, 182, 6, 27, "Input", CellTags->"FeynCalcExternal", CellID->2037530155], - Cell[11914, 432, 551, 16, 51, "Output", + Cell[11913, 432, 551, 16, 51, "Output", CellTags->"FeynCalcExternal"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14996, 528}, - {"FeynCalcExternal", 15139, 532} + {"PrimaryExamplesSection", 14938, 527}, + {"FeynCalcExternal", 15081, 531} } *) (*NotebookFileOutline @@ -584,68 +583,68 @@ Cell[3938, 110, 432, 13, 85, "Usage", Cell[CellGroupData[{ Cell[4395, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->771519112], + CellID->468668040], Cell[CellGroupData[{ -Cell[4807, 146, 196, 6, 26, "ExampleSection", - CellID->1246622663], +Cell[4807, 146, 195, 6, 26, "ExampleSection", + CellID->441461993], Cell[CellGroupData[{ -Cell[5028, 156, 180, 5, 27, "Input", +Cell[5027, 156, 180, 5, 27, "Input", CellTags->"FeynCalcExternal", CellID->642848596], -Cell[5211, 163, 286, 10, 40, "Output", +Cell[5210, 163, 286, 10, 40, "Output", CellTags->"FeynCalcExternal"] }, Open ]], Cell[CellGroupData[{ -Cell[5534, 178, 135, 4, 27, "Input", +Cell[5533, 178, 135, 4, 27, "Input", CellTags->"FeynCalcExternal", CellID->546432132], -Cell[5672, 184, 211, 6, 51, "Output", +Cell[5671, 184, 211, 6, 51, "Output", CellTags->"FeynCalcExternal"] }, Open ]], Cell[CellGroupData[{ -Cell[5920, 195, 469, 14, 27, "Input", +Cell[5919, 195, 469, 14, 27, "Input", CellTags->"FeynCalcExternal", CellID->1924736613], -Cell[6392, 211, 1747, 72, 42, "Output", +Cell[6391, 211, 1747, 72, 42, "Output", CellTags->"FeynCalcExternal"] }, Open ]], Cell[CellGroupData[{ -Cell[8176, 288, 135, 4, 27, "Input", +Cell[8175, 288, 135, 4, 27, "Input", CellTags->"FeynCalcExternal", CellID->127506318], -Cell[8314, 294, 551, 16, 51, "Output", +Cell[8313, 294, 551, 16, 51, "Output", CellTags->"FeynCalcExternal"] }, Open ]], Cell[CellGroupData[{ -Cell[8902, 315, 140, 4, 27, "Input", +Cell[8901, 315, 140, 4, 27, "Input", CellTags->"FeynCalcExternal", CellID->1535054786], -Cell[9045, 321, 1479, 60, 42, "Output", +Cell[9044, 321, 1479, 60, 42, "Output", CellTags->"FeynCalcExternal"] }, Open ]], Cell[CellGroupData[{ -Cell[10561, 386, 136, 4, 27, "Input", +Cell[10560, 386, 136, 4, 27, "Input", CellTags->"FeynCalcExternal", CellID->1247696784], -Cell[10700, 392, 992, 27, 103, "Output", +Cell[10699, 392, 992, 27, 103, "Output", CellTags->"FeynCalcExternal"] }, Open ]], Cell[CellGroupData[{ -Cell[11729, 424, 182, 6, 27, "Input", +Cell[11728, 424, 182, 6, 27, "Input", CellTags->"FeynCalcExternal", CellID->2037530155], -Cell[11914, 432, 551, 16, 51, "Output", +Cell[11913, 432, 551, 16, 51, "Output", CellTags->"FeynCalcExternal"] }, Open ]] }, Open ]], -Cell[12492, 452, 31, 0, 29, "SectionFooterSpacer"] +Cell[12491, 452, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12560, 457, 270, 12, 31, "SeeAlsoSection", +Cell[12559, 457, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12833, 471, 211, 7, 56, "SeeAlso"] +Cell[12832, 471, 211, 7, 56, "SeeAlso"] }, Open ]], -Cell[13059, 481, 23, 0, 41, "FooterCell"] +Cell[13058, 481, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcForm.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcForm.nb index ea9b938f4..959251f9f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcForm.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcForm.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15691, 529] +NotebookDataLength[ 15633, 528] NotebookOptionsPosition[ 11036, 392] -NotebookOutlinePosition[ 14241, 478] -CellTagsIndexPosition[ 14125, 472] +NotebookOutlinePosition[ 14183, 477] +CellTagsIndexPosition[ 14067, 471] WindowTitle->FeynCalcForm WindowFrame->Normal*) @@ -82,7 +82,7 @@ FeynCalcForm.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$134339], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$135347], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynCalcForm", ".html"]], None}]}]}, @@ -149,7 +149,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1276139522], + CellID->294757877], Cell[CellGroupData[{ @@ -159,7 +159,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->318448114], + CellID->1260190245], Cell["This is the normal notebook display:", "Notes"], @@ -393,7 +393,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FeynCalcForm", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -405,7 +405,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 37.694365}", + "built" -> "{2020, 6, 20, 19, 6, 44.044038}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -430,8 +430,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -441,9 +440,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4942, 136, 388, 15, 31, "PrimaryExamplesSection", + Cell[4942, 136, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1276139522]}, + CellID->294757877]}, "FeynCalcForm"->{ Cell[5631, 167, 261, 8, 27, "Input", CellTags->"FeynCalcForm", @@ -471,8 +470,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13267, 442}, - {"FeynCalcForm", 13407, 446} + {"PrimaryExamplesSection", 13210, 441}, + {"FeynCalcForm", 13349, 445} } *) (*NotebookFileOutline @@ -483,12 +482,12 @@ Cell[3806, 100, 289, 11, 45, "ObjectNameGrid"], Cell[4098, 113, 819, 19, 136, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4942, 136, 388, 15, 31, "PrimaryExamplesSection", +Cell[4942, 136, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1276139522], + CellID->294757877], Cell[CellGroupData[{ -Cell[5355, 155, 195, 6, 26, "ExampleSection", - CellID->318448114], +Cell[5354, 155, 196, 6, 26, "ExampleSection", + CellID->1260190245], Cell[5553, 163, 53, 0, 32, "Notes"], Cell[CellGroupData[{ Cell[5631, 167, 261, 8, 27, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcInternal.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcInternal.nb index 261375aa8..cbda6d5a9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcInternal.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcInternal.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21790, 766] -NotebookOptionsPosition[ 16505, 605] -NotebookOutlinePosition[ 19911, 699] -CellTagsIndexPosition[ 19791, 693] +NotebookDataLength[ 21736, 765] +NotebookOptionsPosition[ 16506, 605] +NotebookOutlinePosition[ 19856, 698] +CellTagsIndexPosition[ 19736, 692] WindowTitle->FeynCalcInternal WindowFrame->Normal*) @@ -82,7 +82,7 @@ FeynCalcInternal.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$134782], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$135790], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynCalcInternal", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->688688892], + CellID->1036179685], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->915609596], + CellID->819570897], Cell[CellGroupData[{ @@ -605,8 +605,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FeynCalcInternal", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -618,7 +618,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 38.810751}", + "built" -> "{2020, 6, 20, 19, 6, 45.164357}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -638,8 +638,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -649,51 +648,51 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4556, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4556, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->688688892]}, + CellID->1036179685]}, "FeynCalcInternal"->{ - Cell[5188, 159, 469, 14, 27, "Input", + Cell[5189, 159, 469, 14, 27, "Input", CellTags->"FeynCalcInternal", CellID->1722777606], - Cell[5660, 175, 1747, 72, 42, "Output", + Cell[5661, 175, 1747, 72, 42, "Output", CellTags->"FeynCalcInternal"], - Cell[7444, 252, 136, 4, 27, "Input", + Cell[7445, 252, 136, 4, 27, "Input", CellTags->"FeynCalcInternal", CellID->1982442552], - Cell[7583, 258, 551, 16, 51, "Output", + Cell[7584, 258, 551, 16, 51, "Output", CellTags->"FeynCalcInternal"], - Cell[8171, 279, 140, 4, 27, "Input", + Cell[8172, 279, 140, 4, 27, "Input", CellTags->"FeynCalcInternal", CellID->1465614164], - Cell[8314, 285, 1479, 60, 42, "Output", + Cell[8315, 285, 1479, 60, 42, "Output", CellTags->"FeynCalcInternal"], - Cell[9830, 350, 136, 4, 27, "Input", + Cell[9831, 350, 136, 4, 27, "Input", CellTags->"FeynCalcInternal", CellID->1783117065], - Cell[9969, 356, 992, 27, 103, "Output", + Cell[9970, 356, 992, 27, 103, "Output", CellTags->"FeynCalcInternal"], - Cell[10998, 388, 180, 6, 27, "Input", + Cell[10999, 388, 180, 6, 27, "Input", CellTags->"FeynCalcInternal", CellID->53564155], - Cell[11181, 396, 551, 16, 51, "Output", + Cell[11182, 396, 551, 16, 51, "Output", CellTags->"FeynCalcInternal"], - Cell[11769, 417, 536, 16, 27, "Input", + Cell[11770, 417, 536, 16, 27, "Input", CellTags->"FeynCalcInternal", CellID->1030775122], - Cell[12308, 435, 1899, 79, 61, "Output", + Cell[12309, 435, 1899, 79, 61, "Output", CellTags->"FeynCalcInternal"], - Cell[14244, 519, 135, 4, 27, "Input", + Cell[14245, 519, 135, 4, 27, "Input", CellTags->"FeynCalcInternal", CellID->438838711], - Cell[14382, 525, 1214, 33, 120, "Output", + Cell[14383, 525, 1214, 33, 120, "Output", CellTags->"FeynCalcInternal"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 18416, 650}, - {"FeynCalcInternal", 18559, 654} + {"PrimaryExamplesSection", 18360, 649}, + {"FeynCalcInternal", 18504, 653} } *) (*NotebookFileOutline @@ -704,70 +703,70 @@ Cell[3802, 100, 293, 11, 45, "ObjectNameGrid"], Cell[4098, 113, 433, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4556, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4556, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->688688892], + CellID->1036179685], Cell[CellGroupData[{ -Cell[4968, 149, 195, 6, 26, "ExampleSection", - CellID->915609596], +Cell[4969, 149, 195, 6, 26, "ExampleSection", + CellID->819570897], Cell[CellGroupData[{ -Cell[5188, 159, 469, 14, 27, "Input", +Cell[5189, 159, 469, 14, 27, "Input", CellTags->"FeynCalcInternal", CellID->1722777606], -Cell[5660, 175, 1747, 72, 42, "Output", +Cell[5661, 175, 1747, 72, 42, "Output", CellTags->"FeynCalcInternal"] }, Open ]], Cell[CellGroupData[{ -Cell[7444, 252, 136, 4, 27, "Input", +Cell[7445, 252, 136, 4, 27, "Input", CellTags->"FeynCalcInternal", CellID->1982442552], -Cell[7583, 258, 551, 16, 51, "Output", +Cell[7584, 258, 551, 16, 51, "Output", CellTags->"FeynCalcInternal"] }, Open ]], Cell[CellGroupData[{ -Cell[8171, 279, 140, 4, 27, "Input", +Cell[8172, 279, 140, 4, 27, "Input", CellTags->"FeynCalcInternal", CellID->1465614164], -Cell[8314, 285, 1479, 60, 42, "Output", +Cell[8315, 285, 1479, 60, 42, "Output", CellTags->"FeynCalcInternal"] }, Open ]], Cell[CellGroupData[{ -Cell[9830, 350, 136, 4, 27, "Input", +Cell[9831, 350, 136, 4, 27, "Input", CellTags->"FeynCalcInternal", CellID->1783117065], -Cell[9969, 356, 992, 27, 103, "Output", +Cell[9970, 356, 992, 27, 103, "Output", CellTags->"FeynCalcInternal"] }, Open ]], Cell[CellGroupData[{ -Cell[10998, 388, 180, 6, 27, "Input", +Cell[10999, 388, 180, 6, 27, "Input", CellTags->"FeynCalcInternal", CellID->53564155], -Cell[11181, 396, 551, 16, 51, "Output", +Cell[11182, 396, 551, 16, 51, "Output", CellTags->"FeynCalcInternal"] }, Open ]], Cell[CellGroupData[{ -Cell[11769, 417, 536, 16, 27, "Input", +Cell[11770, 417, 536, 16, 27, "Input", CellTags->"FeynCalcInternal", CellID->1030775122], -Cell[12308, 435, 1899, 79, 61, "Output", +Cell[12309, 435, 1899, 79, 61, "Output", CellTags->"FeynCalcInternal"] }, Open ]], Cell[CellGroupData[{ -Cell[14244, 519, 135, 4, 27, "Input", +Cell[14245, 519, 135, 4, 27, "Input", CellTags->"FeynCalcInternal", CellID->438838711], -Cell[14382, 525, 1214, 33, 120, "Output", +Cell[14383, 525, 1214, 33, 120, "Output", CellTags->"FeynCalcInternal"] }, Open ]] }, Open ]], -Cell[15623, 562, 31, 0, 29, "SectionFooterSpacer"] +Cell[15624, 562, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[15691, 567, 270, 12, 31, "SeeAlsoSection", +Cell[15692, 567, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[15964, 581, 499, 19, 56, "SeeAlso"] +Cell[15965, 581, 499, 19, 56, "SeeAlso"] }, Open ]], -Cell[16478, 603, 23, 0, 41, "FooterCell"] +Cell[16479, 603, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcToLaTeX.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcToLaTeX.nb index 0969516cb..5543f8cbd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcToLaTeX.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynCalcToLaTeX.nb @@ -59,7 +59,7 @@ FeynCalcToLaTeX.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$135667], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$136675], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynCalcToLaTeX", ".html"]], None}]}]}, @@ -168,7 +168,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 41.035316}", + "built" -> "{2020, 6, 20, 19, 6, 47.432800}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynRule.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynRule.nb index d1447977f..b2dcf6a15 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynRule.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynRule.nb @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$138323], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$139331], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynRule", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->290293433], + CellID->395908320], Cell["", "SectionHeaderSpacer"], @@ -246,7 +246,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->449434060], + CellID->833699013], Cell[CellGroupData[{ @@ -256,7 +256,7 @@ Cell[TextData[{ Cell["(5)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->152723255], + CellID->511073477], Cell[TextData[{ "Derive the Feyman rule for the ", @@ -3475,8 +3475,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FeynRule", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -3488,7 +3488,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 47.257891}", + "built" -> "{2020, 6, 20, 19, 6, 53.098117}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -3520,7 +3520,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[7416, 233, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->449434060]}, + CellID->833699013]}, "FeynRule"->{ Cell[74761, 2806, 379, 11, 45, "Input", CellTags->"FeynRule", @@ -3546,14 +3546,14 @@ Cell[3899, 112, 600, 18, 85, "Usage", Cell[CellGroupData[{ Cell[4524, 134, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->290293433], -Cell[5265, 160, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5299, 162, 194, 6, 70, "Notes"], -Cell[5496, 170, 256, 7, 70, "Notes"], -Cell[5755, 179, 673, 19, 70, "Notes", + CellID->395908320], +Cell[5265, 160, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5299, 162, 194, 6, 32, "Notes"], +Cell[5496, 170, 256, 7, 32, "Notes"], +Cell[5755, 179, 673, 19, 84, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[6453, 202, 91, 2, 70, "Input"], +Cell[6453, 202, 91, 2, 27, "Input"], Cell[6547, 206, 808, 20, 75, "Output"] }, Open ]] }, Closed]] @@ -3561,10 +3561,10 @@ Cell[6547, 206, 808, 20, 75, "Output"] Cell[CellGroupData[{ Cell[7416, 233, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->449434060], + CellID->833699013], Cell[CellGroupData[{ Cell[7828, 252, 195, 6, 26, "ExampleSection", - CellID->152723255], + CellID->511073477], Cell[8026, 260, 143, 5, 32, "Notes"], Cell[CellGroupData[{ Cell[8194, 269, 214, 7, 27, "Input"], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanDoIntegrals.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanDoIntegrals.nb index e7c087de6..54ccd1530 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanDoIntegrals.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanDoIntegrals.nb @@ -81,7 +81,7 @@ FeynmanDoIntegrals.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$136106], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$137114], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynmanDoIntegrals", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2049594611], + CellID->1127425025], Cell["", "SectionHeaderSpacer"], @@ -256,7 +256,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"FeynmanDoIntegrals", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -268,7 +268,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 41.998169}", + "built" -> "{2020, 6, 20, 19, 6, 48.505340}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -339,7 +339,7 @@ Cell[4082, 114, 1819, 32, 291, "Usage", Cell[CellGroupData[{ Cell[5926, 150, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2049594611], + CellID->1127425025], Cell[6668, 176, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[6724, 180, 156, 4, 70, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParameterNames.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParameterNames.nb index f5d0cb103..05d58f9c2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParameterNames.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParameterNames.nb @@ -79,7 +79,7 @@ FeynmanParameterNames.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$136540], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$137548], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynmanParameterNames", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 43.034892}", + "built" -> "{2020, 6, 20, 19, 6, 49.402775}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParametrize.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParametrize.nb index e9ebd1a46..da16d1ae2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParametrize.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParametrize.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7860, 242] +NotebookDataLength[ 7863, 242] NotebookOptionsPosition[ 5218, 166] -NotebookOutlinePosition[ 7370, 224] -CellTagsIndexPosition[ 7290, 219] +NotebookOutlinePosition[ 7373, 224] +CellTagsIndexPosition[ 7293, 219] WindowTitle->FeynmanParametrize WindowFrame->Normal*) @@ -59,7 +59,7 @@ FeynmanParametrize.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$137408], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$138416], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynmanParametrize", ".html"]], None}]}]}, @@ -131,7 +131,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->587313829], + CellID->393263900], Cell["", "SectionHeaderSpacer"], @@ -167,7 +167,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FeynmanParametrize", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -179,7 +179,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 44.891956}", + "built" -> "{2020, 6, 20, 19, 6, 51.149786}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -218,7 +218,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"FeynmanParametrize", 7091, 210} + {"FeynmanParametrize", 7094, 210} } *) (*NotebookFileOutline @@ -232,7 +232,7 @@ Cell[3227, 91, 476, 14, 85, "Usage", Cell[CellGroupData[{ Cell[3728, 109, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->587313829], + CellID->393263900], Cell[4469, 135, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4525, 139, 156, 4, 70, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParametrize1.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParametrize1.nb index f8e520a8d..171dbf72d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParametrize1.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanParametrize1.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9359, 264] +NotebookDataLength[ 9302, 263] NotebookOptionsPosition[ 6123, 180] -NotebookOutlinePosition[ 8865, 246] -CellTagsIndexPosition[ 8784, 241] +NotebookOutlinePosition[ 8808, 245] +CellTagsIndexPosition[ 8727, 240] WindowTitle->FeynmanParametrize1 WindowFrame->Normal*) @@ -59,7 +59,7 @@ FeynmanParametrize1.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$136981], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$137989], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynmanParametrize1", ".html"]], None}]}]}, @@ -138,7 +138,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->213672981], + CellID->670498134], Cell["", "SectionHeaderSpacer"], @@ -181,7 +181,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FeynmanParametrize1", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -193,7 +193,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 43.842434}", + "built" -> "{2020, 6, 20, 19, 6, 50.170895}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -220,8 +220,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -240,7 +239,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"FeynmanParametrize1", 8583, 232} + {"FeynmanParametrize1", 8526, 231} } *) (*NotebookFileOutline @@ -254,7 +253,7 @@ Cell[3233, 91, 1029, 21, 171, "Usage", Cell[CellGroupData[{ Cell[4287, 116, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->213672981], + CellID->670498134], Cell[5028, 142, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5084, 146, 158, 4, 70, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanReduce.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanReduce.nb index 8d2a376d4..565ea456a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanReduce.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FeynmanReduce.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8743, 254] -NotebookOptionsPosition[ 5616, 171] -NotebookOutlinePosition[ 8262, 236] -CellTagsIndexPosition[ 8187, 231] +NotebookDataLength[ 8745, 254] +NotebookOptionsPosition[ 5617, 171] +NotebookOutlinePosition[ 8263, 236] +CellTagsIndexPosition[ 8188, 231] WindowTitle->FeynmanReduce WindowFrame->Normal*) @@ -59,7 +59,7 @@ FeynmanReduce.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$137835], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$138843], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FeynmanReduce", ".html"]], None}]}]}, @@ -138,7 +138,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->534488259], + CellID->2032980133], Cell["", "SectionHeaderSpacer"], @@ -184,7 +184,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 46.026403}", + "built" -> "{2020, 6, 20, 19, 6, 52.055540}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -221,16 +221,16 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "FeynmanReduce"->{ - Cell[5027, 146, 145, 4, 27, "Input", + Cell[5028, 146, 145, 4, 70, "Input", CellTags->"FeynmanReduce", CellID->160646569], - Cell[5175, 152, 375, 12, 37, "Output", + Cell[5176, 152, 375, 12, 37, "Output", CellTags->"FeynmanReduce"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"FeynmanReduce", 7999, 222} + {"FeynmanReduce", 8000, 222} } *) (*NotebookFileOutline @@ -242,20 +242,20 @@ Cell[CellGroupData[{ Cell[3197, 91, 1008, 21, 171, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4230, 116, 738, 24, 31, "NotesSection", +Cell[4230, 116, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->534488259], -Cell[4971, 142, 31, 0, 14, "SectionHeaderSpacer"], + CellID->2032980133], +Cell[4972, 142, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5027, 146, 145, 4, 27, "Input", +Cell[5028, 146, 145, 4, 70, "Input", CellTags->"FeynmanReduce", CellID->160646569], -Cell[5175, 152, 375, 12, 37, "Output", +Cell[5176, 152, 375, 12, 37, "Output", CellTags->"FeynmanReduce"] }, Open ]] }, Closed]] }, Open ]], -Cell[5589, 169, 23, 0, 41, "FooterCell"] +Cell[5590, 169, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FieldDerivative.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FieldDerivative.nb index b7b6f3282..c5e3219f3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FieldDerivative.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FieldDerivative.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18324, 639] +NotebookDataLength[ 18269, 638] NotebookOptionsPosition[ 14134, 515] -NotebookOutlinePosition[ 16926, 590] -CellTagsIndexPosition[ 16807, 584] +NotebookOutlinePosition[ 16871, 589] +CellTagsIndexPosition[ 16752, 583] WindowTitle->FieldDerivative WindowFrame->Normal*) @@ -80,7 +80,7 @@ FieldDerivative.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$138791], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$139799], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FieldDerivative", ".html"]], None}]}]}, @@ -160,7 +160,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->965135585], + CellID->1287093130], Cell["", "SectionHeaderSpacer"], @@ -219,7 +219,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1665045889], + CellID->1267520730], Cell[CellGroupData[{ @@ -229,7 +229,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1405584882], + CellID->187058607], Cell[CellGroupData[{ @@ -516,7 +516,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FieldDerivative", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -528,7 +528,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 48.791465}", + "built" -> "{2020, 6, 20, 19, 6, 54.381826}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -549,8 +549,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -560,9 +559,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6664, 206, 388, 15, 31, "PrimaryExamplesSection", + Cell[6665, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1665045889]}, + CellID->1267520730]}, "FieldDerivative"->{ Cell[7298, 235, 639, 20, 45, "Input", CellTags->"FieldDerivative", @@ -583,8 +582,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16129, 561}, - {"FieldDerivative", 16272, 565} + {"PrimaryExamplesSection", 16074, 560}, + {"FieldDerivative", 16217, 564} } *) (*NotebookFileOutline @@ -596,21 +595,21 @@ Cell[CellGroupData[{ Cell[4040, 113, 744, 21, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4809, 138, 738, 24, 31, "NotesSection", +Cell[4809, 138, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->965135585], -Cell[5550, 164, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5584, 166, 582, 20, 70, "Notes"], -Cell[6169, 188, 446, 12, 70, "Notes"] + CellID->1287093130], +Cell[5551, 164, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5585, 166, 582, 20, 70, "Notes"], +Cell[6170, 188, 446, 12, 70, "Notes"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6664, 206, 388, 15, 31, "PrimaryExamplesSection", +Cell[6665, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1665045889], + CellID->1267520730], Cell[CellGroupData[{ -Cell[7077, 225, 196, 6, 26, "ExampleSection", - CellID->1405584882], +Cell[7078, 225, 195, 6, 26, "ExampleSection", + CellID->187058607], Cell[CellGroupData[{ Cell[7298, 235, 639, 20, 45, "Input", CellTags->"FieldDerivative", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FieldStrength.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FieldStrength.nb index adb78ca56..def57d605 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FieldStrength.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FieldStrength.nb @@ -79,7 +79,7 @@ FieldStrength.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$139240], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$140248], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FieldStrength", ".html"]], None}]}]}, @@ -183,7 +183,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1193771266], + CellID->1191137323], Cell["", "SectionHeaderSpacer"], @@ -259,7 +259,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->380314619], + CellID->864585437], Cell[CellGroupData[{ @@ -269,7 +269,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->362136222], + CellID->102887294], Cell[CellGroupData[{ @@ -582,8 +582,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FieldStrength", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -595,7 +595,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 50.417948}", + "built" -> "{2020, 6, 20, 19, 6, 55.843601}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -661,7 +661,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[7823, 246, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->380314619]} + CellID->864585437]} } *) (*CellTagsIndex @@ -681,7 +681,7 @@ Cell[3934, 112, 1594, 45, 156, "Usage", Cell[CellGroupData[{ Cell[5553, 161, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1193771266], + CellID->1191137323], Cell[6295, 187, 31, 0, 70, "SectionHeaderSpacer"], Cell[6329, 189, 231, 6, 70, "Notes"], Cell[6563, 197, 453, 15, 70, "Notes"], @@ -697,10 +697,10 @@ Cell[7190, 222, 572, 17, 56, "Output", Cell[CellGroupData[{ Cell[7823, 246, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->380314619], + CellID->864585437], Cell[CellGroupData[{ Cell[8235, 265, 195, 6, 26, "ExampleSection", - CellID->362136222], + CellID->102887294], Cell[CellGroupData[{ Cell[8455, 275, 168, 5, 27, "Input", CellTags->"FieldStrength", @@ -737,14 +737,14 @@ Cell[13043, 473, 1819, 77, 43, "Output", CellTags->"FieldStrength"] }, Open ]] }, Open ]], -Cell[14889, 554, 31, 0, 70, "SectionFooterSpacer"] +Cell[14889, 554, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[14957, 559, 270, 12, 70, "SeeAlsoSection", +Cell[14957, 559, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[15230, 573, 184, 4, 70, "SeeAlso"] +Cell[15230, 573, 184, 4, 56, "SeeAlso"] }, Open ]], -Cell[15429, 580, 23, 0, 70, "FooterCell"] +Cell[15429, 580, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FinalFunction.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FinalFunction.nb index cf7c9833d..032f964cf 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FinalFunction.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FinalFunction.nb @@ -79,7 +79,7 @@ FinalFunction.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$139680], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$140688], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FinalFunction", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 51.951063}", + "built" -> "{2020, 6, 20, 19, 6, 57.052251}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FinalSubstitutions.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FinalSubstitutions.nb index 7b7e70979..8a56c5a87 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FinalSubstitutions.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FinalSubstitutions.nb @@ -82,7 +82,7 @@ FinalSubstitutions.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$140124], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$141132], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FinalSubstitutions", ".html"]], None}]}]}, @@ -180,7 +180,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 52.930054}", + "built" -> "{2020, 6, 20, 19, 6, 58.099734}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourDivergence.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourDivergence.nb index 79a8f2dea..2523d3c8b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourDivergence.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourDivergence.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16730, 592] -NotebookOptionsPosition[ 11978, 446] -NotebookOutlinePosition[ 14898, 526] -CellTagsIndexPosition[ 14780, 520] +NotebookDataLength[ 16676, 591] +NotebookOptionsPosition[ 11980, 446] +NotebookOutlinePosition[ 14842, 525] +CellTagsIndexPosition[ 14724, 519] WindowTitle->FourDivergence WindowFrame->Normal*) @@ -79,7 +79,7 @@ FourDivergence.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$142831], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$143839], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FourDivergence", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->416092128], + CellID->1147950935], Cell["", "SectionHeaderSpacer"], @@ -206,7 +206,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1638543689], + CellID->1101764745], Cell[CellGroupData[{ @@ -216,7 +216,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->545755177], + CellID->1659013034], Cell[CellGroupData[{ @@ -447,7 +447,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FourDivergence", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -459,7 +459,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 57, 59.174858}", + "built" -> "{2020, 6, 20, 19, 7, 3.745736}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -480,8 +480,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -491,36 +490,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6325, 193, 388, 15, 31, "PrimaryExamplesSection", + Cell[6326, 193, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1638543689]}, + CellID->1101764745]}, "FourDivergence"->{ - Cell[6958, 222, 151, 5, 27, "Input", + Cell[6960, 222, 151, 5, 27, "Input", CellTags->"FourDivergence", CellID->1686706616], - Cell[7112, 229, 465, 19, 37, "Output", + Cell[7114, 229, 465, 19, 37, "Output", CellTags->"FourDivergence"], - Cell[7614, 253, 222, 7, 27, "Input", + Cell[7616, 253, 222, 7, 27, "Input", CellTags->"FourDivergence", CellID->1594453358], - Cell[7839, 262, 390, 16, 37, "Output", + Cell[7841, 262, 390, 16, 37, "Output", CellTags->"FourDivergence"], - Cell[8266, 283, 175, 6, 27, "Input", + Cell[8268, 283, 175, 6, 27, "Input", CellTags->"FourDivergence", CellID->1521326595], - Cell[8444, 291, 696, 29, 37, "Output", + Cell[8446, 291, 696, 29, 37, "Output", CellTags->"FourDivergence"], - Cell[9177, 325, 221, 7, 27, "Input", + Cell[9179, 325, 221, 7, 27, "Input", CellTags->"FourDivergence", CellID->822682822], - Cell[9401, 334, 418, 17, 37, "Output", + Cell[9403, 334, 418, 17, 37, "Output", CellTags->"FourDivergence"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13947, 492}, - {"FourDivergence", 14089, 496} + {"PrimaryExamplesSection", 13891, 491}, + {"FourDivergence", 14033, 495} } *) (*NotebookFileOutline @@ -532,68 +531,68 @@ Cell[CellGroupData[{ Cell[3940, 112, 656, 18, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4621, 134, 738, 24, 31, "NotesSection", +Cell[4621, 134, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->416092128], -Cell[5362, 160, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1147950935], +Cell[5363, 160, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5418, 164, 98, 2, 70, "Input"], -Cell[5519, 168, 745, 18, 75, "Output"] +Cell[5419, 164, 98, 2, 70, "Input"], +Cell[5520, 168, 745, 18, 75, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6325, 193, 388, 15, 31, "PrimaryExamplesSection", +Cell[6326, 193, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1638543689], + CellID->1101764745], Cell[CellGroupData[{ -Cell[6738, 212, 195, 6, 26, "ExampleSection", - CellID->545755177], +Cell[6739, 212, 196, 6, 26, "ExampleSection", + CellID->1659013034], Cell[CellGroupData[{ -Cell[6958, 222, 151, 5, 27, "Input", +Cell[6960, 222, 151, 5, 27, "Input", CellTags->"FourDivergence", CellID->1686706616], -Cell[7112, 229, 465, 19, 37, "Output", +Cell[7114, 229, 465, 19, 37, "Output", CellTags->"FourDivergence"] }, Open ]], Cell[CellGroupData[{ -Cell[7614, 253, 222, 7, 27, "Input", +Cell[7616, 253, 222, 7, 27, "Input", CellTags->"FourDivergence", CellID->1594453358], -Cell[7839, 262, 390, 16, 37, "Output", +Cell[7841, 262, 390, 16, 37, "Output", CellTags->"FourDivergence"] }, Open ]], Cell[CellGroupData[{ -Cell[8266, 283, 175, 6, 27, "Input", +Cell[8268, 283, 175, 6, 27, "Input", CellTags->"FourDivergence", CellID->1521326595], -Cell[8444, 291, 696, 29, 37, "Output", +Cell[8446, 291, 696, 29, 37, "Output", CellTags->"FourDivergence"] }, Open ]], Cell[CellGroupData[{ -Cell[9177, 325, 221, 7, 27, "Input", +Cell[9179, 325, 221, 7, 27, "Input", CellTags->"FourDivergence", CellID->822682822], -Cell[9401, 334, 418, 17, 37, "Output", +Cell[9403, 334, 418, 17, 37, "Output", CellTags->"FourDivergence"] }, Open ]], Cell[CellGroupData[{ -Cell[9856, 356, 152, 5, 27, "Input"], -Cell[10011, 363, 434, 12, 61, "Output"] +Cell[9858, 356, 152, 5, 27, "Input"], +Cell[10013, 363, 434, 12, 61, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10482, 380, 173, 5, 27, "Input"], -Cell[10658, 387, 711, 24, 62, "Output"] +Cell[10484, 380, 173, 5, 27, "Input"], +Cell[10660, 387, 711, 24, 62, "Output"] }, Open ]] }, Open ]], -Cell[11396, 415, 31, 0, 29, "SectionFooterSpacer"] +Cell[11398, 415, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11464, 420, 270, 12, 31, "SeeAlsoSection", +Cell[11466, 420, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11737, 434, 199, 7, 56, "SeeAlso"] +Cell[11739, 434, 199, 7, 56, "SeeAlso"] }, Open ]], -Cell[11951, 444, 23, 0, 41, "FooterCell"] +Cell[11953, 444, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourLaplacian.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourLaplacian.nb index 0bf999178..d16b65308 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourLaplacian.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourLaplacian.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 26212, 920] -NotebookOptionsPosition[ 21822, 784] -NotebookOutlinePosition[ 24607, 862] -CellTagsIndexPosition[ 24490, 856] +NotebookDataLength[ 26208, 920] +NotebookOptionsPosition[ 21820, 784] +NotebookOutlinePosition[ 24605, 862] +CellTagsIndexPosition[ 24488, 856] WindowTitle->FourLaplacian WindowFrame->Normal*) @@ -81,7 +81,7 @@ FourLaplacian.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$143271], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$144279], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FourLaplacian", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1034393011], + CellID->964757514], Cell["", "SectionHeaderSpacer"], @@ -180,7 +180,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"Dimension", "\[Rule]", "D"}], "}"}], TraditionalForm]], "Output", - ImageSize->{112, 14}, + ImageSize->{112, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[118]="] @@ -205,7 +205,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2132342538], + CellID->2010393696], Cell[CellGroupData[{ @@ -215,7 +215,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2050018979], + CellID->282546429], Cell[CellGroupData[{ @@ -797,7 +797,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 0.569268}", + "built" -> "{2020, 6, 20, 19, 7, 4.805540}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -827,36 +827,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6046, 192, 388, 15, 31, "PrimaryExamplesSection", + Cell[6045, 192, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2132342538]}, + CellID->2010393696]}, "FourLaplacian"->{ - Cell[6680, 221, 149, 5, 27, "Input", + Cell[6678, 221, 149, 5, 27, "Input", CellTags->"FourLaplacian", CellID->678691277], - Cell[6832, 228, 315, 12, 39, "Output", + Cell[6830, 228, 315, 12, 39, "Output", CellTags->"FourLaplacian"], - Cell[7184, 245, 171, 5, 27, "Input", + Cell[7182, 245, 171, 5, 27, "Input", CellTags->"FourLaplacian", CellID->1086572094], - Cell[7358, 252, 217, 7, 35, "Output", + Cell[7356, 252, 217, 7, 35, "Output", CellTags->"FourLaplacian"], - Cell[7612, 264, 283, 10, 27, "Input", + Cell[7610, 264, 283, 10, 27, "Input", CellTags->"FourLaplacian", CellID->1385775268], - Cell[7898, 276, 1474, 54, 62, "Output", + Cell[7896, 276, 1474, 54, 62, "Output", CellTags->"FourLaplacian"], - Cell[9409, 335, 176, 5, 27, "Input", + Cell[9407, 335, 176, 5, 27, "Input", CellTags->"FourLaplacian", CellID->1428791386], - Cell[9588, 342, 11448, 401, 176, "Output", + Cell[9586, 342, 11448, 401, 176, "Output", CellTags->"FourLaplacian"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 23661, 828}, - {"FourLaplacian", 23802, 832} + {"PrimaryExamplesSection", 23659, 828}, + {"FourLaplacian", 23800, 832} } *) (*NotebookFileOutline @@ -868,60 +868,60 @@ Cell[CellGroupData[{ Cell[4040, 114, 792, 26, 88, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4857, 144, 739, 24, 31, "NotesSection", +Cell[4857, 144, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1034393011], -Cell[5599, 170, 31, 0, 70, "SectionHeaderSpacer"], + CellID->964757514], +Cell[5598, 170, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5655, 174, 97, 2, 70, "Input"], -Cell[5755, 178, 230, 7, 35, "Output"] +Cell[5654, 174, 97, 2, 70, "Input"], +Cell[5754, 178, 230, 7, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6046, 192, 388, 15, 31, "PrimaryExamplesSection", +Cell[6045, 192, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2132342538], + CellID->2010393696], Cell[CellGroupData[{ -Cell[6459, 211, 196, 6, 26, "ExampleSection", - CellID->2050018979], +Cell[6458, 211, 195, 6, 26, "ExampleSection", + CellID->282546429], Cell[CellGroupData[{ -Cell[6680, 221, 149, 5, 27, "Input", +Cell[6678, 221, 149, 5, 27, "Input", CellTags->"FourLaplacian", CellID->678691277], -Cell[6832, 228, 315, 12, 39, "Output", +Cell[6830, 228, 315, 12, 39, "Output", CellTags->"FourLaplacian"] }, Open ]], Cell[CellGroupData[{ -Cell[7184, 245, 171, 5, 27, "Input", +Cell[7182, 245, 171, 5, 27, "Input", CellTags->"FourLaplacian", CellID->1086572094], -Cell[7358, 252, 217, 7, 35, "Output", +Cell[7356, 252, 217, 7, 35, "Output", CellTags->"FourLaplacian"] }, Open ]], Cell[CellGroupData[{ -Cell[7612, 264, 283, 10, 27, "Input", +Cell[7610, 264, 283, 10, 27, "Input", CellTags->"FourLaplacian", CellID->1385775268], -Cell[7898, 276, 1474, 54, 62, "Output", +Cell[7896, 276, 1474, 54, 62, "Output", CellTags->"FourLaplacian"] }, Open ]], Cell[CellGroupData[{ -Cell[9409, 335, 176, 5, 27, "Input", +Cell[9407, 335, 176, 5, 27, "Input", CellTags->"FourLaplacian", CellID->1428791386], -Cell[9588, 342, 11448, 401, 176, "Output", +Cell[9586, 342, 11448, 401, 176, "Output", CellTags->"FourLaplacian"] }, Open ]] }, Open ]], -Cell[21063, 747, 31, 0, 29, "SectionFooterSpacer"] +Cell[21061, 747, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[21131, 752, 270, 12, 31, "SeeAlsoSection", +Cell[21129, 752, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[21404, 766, 376, 13, 56, "SeeAlso"] +Cell[21402, 766, 376, 13, 56, "SeeAlso"] }, Open ]], -Cell[21795, 782, 23, 0, 41, "FooterCell"] +Cell[21793, 782, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourVector.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourVector.nb index 8eed4dbfd..5468863a9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourVector.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FourVector.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16869, 616] +NotebookDataLength[ 16811, 615] NotebookOptionsPosition[ 11891, 459] -NotebookOutlinePosition[ 14752, 539] -CellTagsIndexPosition[ 14638, 533] +NotebookOutlinePosition[ 14694, 538] +CellTagsIndexPosition[ 14580, 532] WindowTitle->FourVector WindowFrame->Normal*) @@ -80,7 +80,7 @@ FourVector.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$143714], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$144722], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FourVector", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->259140023], + CellID->1354063284], Cell["", "SectionHeaderSpacer"], @@ -203,7 +203,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->489345380], + CellID->72975528], Cell[CellGroupData[{ @@ -213,7 +213,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->682577464], + CellID->554696271], Cell[CellGroupData[{ @@ -460,7 +460,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FourVector", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -472,7 +472,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 2.025456}", + "built" -> "{2020, 6, 20, 19, 7, 5.899821}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -493,8 +493,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -504,9 +503,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5963, 190, 387, 15, 31, "PrimaryExamplesSection", + Cell[5964, 190, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->489345380]}, + CellID->72975528]}, "FourVector"->{ Cell[6595, 219, 159, 5, 27, "Input", CellTags->"FourVector", @@ -532,8 +531,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13843, 505}, - {"FourVector", 13980, 509} + {"PrimaryExamplesSection", 13786, 504}, + {"FourVector", 13922, 508} } *) (*NotebookFileOutline @@ -545,25 +544,25 @@ Cell[CellGroupData[{ Cell[3972, 113, 594, 17, 103, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4591, 134, 738, 24, 31, "NotesSection", +Cell[4591, 134, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->259140023], -Cell[5332, 160, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5366, 162, 107, 3, 70, "Notes", + CellID->1354063284], +Cell[5333, 160, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5367, 162, 107, 3, 32, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[5498, 169, 94, 2, 70, "Input"], -Cell[5595, 173, 307, 10, 37, "Output"] +Cell[5499, 169, 94, 2, 27, "Input"], +Cell[5596, 173, 307, 10, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5963, 190, 387, 15, 31, "PrimaryExamplesSection", +Cell[5964, 190, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->489345380], + CellID->72975528], Cell[CellGroupData[{ Cell[6375, 209, 195, 6, 26, "ExampleSection", - CellID->682577464], + CellID->554696271], Cell[CellGroupData[{ Cell[6595, 219, 159, 5, 27, "Input", CellTags->"FourVector", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeIndex.nb index 1a0dc018e..9d0c73f13 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeIndex.nb @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$144601], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$145609], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FreeIndex", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 4.549587}", + "built" -> "{2020, 6, 20, 19, 7, 7.972886}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeIndexFreeQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeIndexFreeQ.nb index 1978a032b..74290f126 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeIndexFreeQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeIndexFreeQ.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15205, 550] -NotebookOptionsPosition[ 11094, 423] -NotebookOutlinePosition[ 13460, 483] -CellTagsIndexPosition[ 13375, 478] +NotebookDataLength[ 15147, 549] +NotebookOptionsPosition[ 11093, 423] +NotebookOutlinePosition[ 13403, 482] +CellTagsIndexPosition[ 13318, 477] WindowTitle->FreeIndexFreeQ WindowFrame->Normal*) @@ -83,7 +83,7 @@ FreeIndexFreeQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$144158], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$145166], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FreeIndexFreeQ", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1030659135], + CellID->1822731324], Cell[CellGroupData[{ @@ -160,7 +160,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1735968043], + CellID->514437521], Cell[CellGroupData[{ @@ -424,7 +424,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FreeIndexFreeQ", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -436,7 +436,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 3.260748}", + "built" -> "{2020, 6, 20, 19, 7, 6.990881}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -459,8 +459,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -472,12 +471,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4915, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1030659135]} + CellID->1822731324]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13231, 471} + {"PrimaryExamplesSection", 13174, 470} } *) (*NotebookFileOutline @@ -490,68 +489,68 @@ Cell[4136, 114, 754, 19, 119, "Usage", Cell[CellGroupData[{ Cell[4915, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1030659135], + CellID->1822731324], Cell[CellGroupData[{ -Cell[5328, 156, 196, 6, 26, "ExampleSection", - CellID->1735968043], +Cell[5328, 156, 195, 6, 26, "ExampleSection", + CellID->514437521], Cell[CellGroupData[{ -Cell[5549, 166, 239, 8, 27, "Input", +Cell[5548, 166, 239, 8, 27, "Input", CellID->19911176], -Cell[5791, 176, 620, 27, 37, "Output", +Cell[5790, 176, 620, 27, 37, "Output", CellID->1940347290] }, Open ]], Cell[CellGroupData[{ -Cell[6448, 208, 168, 5, 27, "Input", +Cell[6447, 208, 168, 5, 27, "Input", CellID->261119511], -Cell[6619, 215, 190, 6, 35, "Output", +Cell[6618, 215, 190, 6, 35, "Output", CellID->580176418] }, Open ]], Cell[CellGroupData[{ -Cell[6846, 226, 241, 8, 27, "Input", +Cell[6845, 226, 241, 8, 27, "Input", CellID->1157096663], -Cell[7090, 236, 620, 27, 37, "Output", +Cell[7089, 236, 620, 27, 37, "Output", CellID->1890260352] }, Open ]], Cell[CellGroupData[{ -Cell[7747, 268, 169, 5, 27, "Input", +Cell[7746, 268, 169, 5, 27, "Input", CellID->2058588956], -Cell[7919, 275, 190, 6, 35, "Output", +Cell[7918, 275, 190, 6, 35, "Output", CellID->1763054535] }, Open ]], Cell[CellGroupData[{ -Cell[8146, 286, 154, 5, 27, "Input", +Cell[8145, 286, 154, 5, 27, "Input", CellID->355266556], -Cell[8303, 293, 407, 17, 38, "Output", +Cell[8302, 293, 407, 17, 38, "Output", CellID->521798792] }, Open ]], Cell[CellGroupData[{ -Cell[8747, 315, 164, 5, 27, "Input", +Cell[8746, 315, 164, 5, 27, "Input", CellID->422670148], -Cell[8914, 322, 190, 6, 35, "Output", +Cell[8913, 322, 190, 6, 35, "Output", CellID->474556745] }, Open ]], Cell[CellGroupData[{ -Cell[9141, 333, 154, 5, 27, "Input", +Cell[9140, 333, 154, 5, 27, "Input", CellID->194904878], -Cell[9298, 340, 408, 17, 35, "Output", +Cell[9297, 340, 408, 17, 35, "Output", CellID->1485053130] }, Open ]], Cell[CellGroupData[{ -Cell[9743, 362, 165, 5, 27, "Input", +Cell[9742, 362, 165, 5, 27, "Input", CellID->2008364696], -Cell[9911, 369, 190, 6, 35, "Output", +Cell[9910, 369, 190, 6, 35, "Output", CellID->1874919223] }, Open ]] }, Open ]], -Cell[10128, 379, 31, 0, 29, "SectionFooterSpacer"] +Cell[10127, 379, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10196, 384, 270, 12, 31, "SeeAlsoSection", +Cell[10195, 384, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10469, 398, 583, 20, 56, "SeeAlso", +Cell[10468, 398, 583, 20, 56, "SeeAlso", CellID->1732330916] }, Open ]], -Cell[11067, 421, 23, 0, 41, "FooterCell"] +Cell[11066, 421, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeQ2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeQ2.nb index b5f197a38..725ef51ff 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeQ2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FreeQ2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11710, 402] -NotebookOptionsPosition[ 7759, 278] -NotebookOutlinePosition[ 10512, 356] -CellTagsIndexPosition[ 10404, 350] +NotebookDataLength[ 11705, 402] +NotebookOptionsPosition[ 7757, 278] +NotebookOutlinePosition[ 10509, 356] +CellTagsIndexPosition[ 10401, 350] WindowTitle->FreeQ2 WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$145045], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$146053], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FreeQ2", ".html"]], None}]}]}, @@ -145,7 +145,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1958716986], + CellID->849454148], Cell[CellGroupData[{ @@ -155,7 +155,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1349107249], + CellID->935437921], Cell[CellGroupData[{ @@ -291,7 +291,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 5.320880}", + "built" -> "{2020, 6, 20, 19, 7, 9.019898}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -321,36 +321,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4607, 132, 388, 15, 31, "PrimaryExamplesSection", + Cell[4607, 132, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1958716986]}, + CellID->849454148]}, "FreeQ2"->{ - Cell[5241, 161, 265, 9, 27, "Input", + Cell[5239, 161, 265, 9, 27, "Input", CellTags->"FreeQ2", CellID->1955436628], - Cell[5509, 172, 191, 6, 35, "Output", + Cell[5507, 172, 191, 6, 35, "Output", CellTags->"FreeQ2"], - Cell[5737, 183, 259, 9, 27, "Input", + Cell[5735, 183, 259, 9, 27, "Input", CellTags->"FreeQ2", CellID->486516925], - Cell[5999, 194, 190, 6, 35, "Output", + Cell[5997, 194, 190, 6, 35, "Output", CellTags->"FreeQ2"], - Cell[6226, 205, 152, 5, 27, "Input", + Cell[6224, 205, 152, 5, 27, "Input", CellTags->"FreeQ2", CellID->1336030699], - Cell[6381, 212, 190, 6, 35, "Output", + Cell[6379, 212, 190, 6, 35, "Output", CellTags->"FreeQ2"], - Cell[6608, 223, 180, 6, 27, "Input", + Cell[6606, 223, 180, 6, 27, "Input", CellTags->"FreeQ2", CellID->544368653], - Cell[6791, 231, 191, 6, 35, "Output", + Cell[6789, 231, 191, 6, 35, "Output", CellTags->"FreeQ2"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9648, 322}, - {"FreeQ2", 9782, 326} + {"PrimaryExamplesSection", 9646, 322}, + {"FreeQ2", 9779, 326} } *) (*NotebookFileOutline @@ -361,49 +361,49 @@ Cell[3675, 98, 283, 11, 45, "ObjectNameGrid"], Cell[3961, 111, 621, 17, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4607, 132, 388, 15, 31, "PrimaryExamplesSection", +Cell[4607, 132, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1958716986], + CellID->849454148], Cell[CellGroupData[{ -Cell[5020, 151, 196, 6, 26, "ExampleSection", - CellID->1349107249], +Cell[5019, 151, 195, 6, 26, "ExampleSection", + CellID->935437921], Cell[CellGroupData[{ -Cell[5241, 161, 265, 9, 27, "Input", +Cell[5239, 161, 265, 9, 27, "Input", CellTags->"FreeQ2", CellID->1955436628], -Cell[5509, 172, 191, 6, 35, "Output", +Cell[5507, 172, 191, 6, 35, "Output", CellTags->"FreeQ2"] }, Open ]], Cell[CellGroupData[{ -Cell[5737, 183, 259, 9, 27, "Input", +Cell[5735, 183, 259, 9, 27, "Input", CellTags->"FreeQ2", CellID->486516925], -Cell[5999, 194, 190, 6, 35, "Output", +Cell[5997, 194, 190, 6, 35, "Output", CellTags->"FreeQ2"] }, Open ]], Cell[CellGroupData[{ -Cell[6226, 205, 152, 5, 27, "Input", +Cell[6224, 205, 152, 5, 27, "Input", CellTags->"FreeQ2", CellID->1336030699], -Cell[6381, 212, 190, 6, 35, "Output", +Cell[6379, 212, 190, 6, 35, "Output", CellTags->"FreeQ2"] }, Open ]], Cell[CellGroupData[{ -Cell[6608, 223, 180, 6, 27, "Input", +Cell[6606, 223, 180, 6, 27, "Input", CellTags->"FreeQ2", CellID->544368653], -Cell[6791, 231, 191, 6, 35, "Output", +Cell[6789, 231, 191, 6, 35, "Output", CellTags->"FreeQ2"] }, Open ]] }, Open ]], -Cell[7009, 241, 31, 0, 29, "SectionFooterSpacer"] +Cell[7007, 241, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7077, 246, 270, 12, 31, "SeeAlsoSection", +Cell[7075, 246, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7350, 260, 367, 13, 56, "SeeAlso"] +Cell[7348, 260, 367, 13, 56, "SeeAlso"] }, Open ]], -Cell[7732, 276, 23, 0, 41, "FooterCell"] +Cell[7730, 276, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FromTFI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FromTFI.nb index 5e9706f86..304b85c93 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FromTFI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FromTFI.nb @@ -10,8 +10,8 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12114, 402] -NotebookOptionsPosition[ 8741, 300] +NotebookDataLength[ 12113, 402] +NotebookOptionsPosition[ 8740, 300] NotebookOutlinePosition[ 11232, 370] CellTagsIndexPosition[ 11121, 364] WindowTitle->FromTFI @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$145927], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$146935], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FromTFI", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1251218212], + CellID->2062862946], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->490846268], + CellID->73631693], Cell[CellGroupData[{ @@ -313,7 +313,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 7.652102}", + "built" -> "{2020, 6, 20, 19, 7, 11.101457}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -346,17 +346,17 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4459, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1251218212]}, + CellID->2062862946]}, "FromTFI"->{ - Cell[5092, 159, 449, 15, 27, "Input", + Cell[5091, 159, 449, 15, 27, "Input", CellTags->"FromTFI", CellID->546580717], - Cell[5544, 176, 981, 33, 108, "Output", + Cell[5543, 176, 981, 33, 108, "Output", CellTags->"FromTFI"], - Cell[6587, 214, 755, 24, 45, "Input", + Cell[6586, 214, 755, 24, 45, "Input", CellTags->"FromTFI", CellID->764654490], - Cell[7345, 240, 820, 26, 45, "Input", + Cell[7344, 240, 820, 26, 45, "Input", CellTags->"FromTFI", CellID->309007545]} } @@ -377,33 +377,33 @@ Cell[3861, 110, 573, 16, 101, "Usage", Cell[CellGroupData[{ Cell[4459, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1251218212], + CellID->2062862946], Cell[CellGroupData[{ -Cell[4872, 149, 195, 6, 26, "ExampleSection", - CellID->490846268], +Cell[4872, 149, 194, 6, 26, "ExampleSection", + CellID->73631693], Cell[CellGroupData[{ -Cell[5092, 159, 449, 15, 27, "Input", +Cell[5091, 159, 449, 15, 27, "Input", CellTags->"FromTFI", CellID->546580717], -Cell[5544, 176, 981, 33, 108, "Output", +Cell[5543, 176, 981, 33, 108, "Output", CellTags->"FromTFI"] }, Open ]], -Cell[6540, 212, 44, 0, 32, "Notes"], -Cell[6587, 214, 755, 24, 45, "Input", +Cell[6539, 212, 44, 0, 32, "Notes"], +Cell[6586, 214, 755, 24, 45, "Input", CellTags->"FromTFI", CellID->764654490], -Cell[7345, 240, 820, 26, 45, "Input", +Cell[7344, 240, 820, 26, 45, "Input", CellTags->"FromTFI", CellID->309007545] }, Open ]], -Cell[8180, 269, 31, 0, 29, "SectionFooterSpacer"] +Cell[8179, 269, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8248, 274, 270, 12, 31, "SeeAlsoSection", +Cell[8247, 274, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8521, 288, 178, 7, 56, "SeeAlso"] +Cell[8520, 288, 178, 7, 56, "SeeAlso"] }, Open ]], -Cell[8714, 298, 23, 0, 41, "FooterCell"] +Cell[8713, 298, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FunctionalD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FunctionalD.nb index 89dcf9139..bbf11a35a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/FunctionalD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/FunctionalD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 137517, 5544] +NotebookDataLength[ 137463, 5543] NotebookOptionsPosition[ 124755, 5139] -NotebookOutlinePosition[ 130807, 5310] -CellTagsIndexPosition[ 130688, 5304] +NotebookOutlinePosition[ 130753, 5309] +CellTagsIndexPosition[ 130634, 5303] WindowTitle->FunctionalD WindowFrame->Normal*) @@ -80,7 +80,7 @@ FunctionalD.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$146406], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$147414], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/FunctionalD", ".html"]], None}]}]}, @@ -185,7 +185,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1314156764], + CellID->2062288945], Cell["", "SectionHeaderSpacer"], @@ -222,7 +222,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1785706472], + CellID->1948359431], Cell[CellGroupData[{ @@ -232,7 +232,7 @@ Cell[TextData[{ Cell["(3)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->781139701], + CellID->469540013], Cell[TextData[{ "Instead of the usual ", @@ -5140,7 +5140,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"FunctionalD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -5152,7 +5152,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 8.880315}", + "built" -> "{2020, 6, 20, 19, 7, 12.313036}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -5176,8 +5176,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -5189,7 +5188,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6889, 209, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1785706472]}, + CellID->1948359431]}, "FunctionalD"->{ Cell[8185, 262, 246, 7, 27, "Input", CellTags->"FunctionalD", @@ -5303,8 +5302,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 126964, 5188}, - {"FunctionalD", 127103, 5192} + {"PrimaryExamplesSection", 126910, 5187}, + {"FunctionalD", 127049, 5191} } *) (*NotebookFileOutline @@ -5318,7 +5317,7 @@ Cell[4008, 113, 1696, 46, 165, "Usage", Cell[CellGroupData[{ Cell[5729, 163, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1314156764], + CellID->2062288945], Cell[6471, 189, 31, 0, 70, "SectionHeaderSpacer"], Cell[6505, 191, 335, 12, 70, "Notes", CellID->1067943069] @@ -5327,10 +5326,10 @@ Cell[6505, 191, 335, 12, 70, "Notes", Cell[CellGroupData[{ Cell[6889, 209, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1785706472], + CellID->1948359431], Cell[CellGroupData[{ Cell[7302, 228, 195, 6, 26, "ExampleSection", - CellID->781139701], + CellID->469540013], Cell[7500, 236, 660, 22, 49, "Notes"], Cell[CellGroupData[{ Cell[8185, 262, 246, 7, 27, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GA.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GA.nb index 190c475b2..a3285c5e5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GA.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GA.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16189, 592] +NotebookDataLength[ 16132, 591] NotebookOptionsPosition[ 11597, 442] -NotebookOutlinePosition[ 14686, 532] -CellTagsIndexPosition[ 14580, 526] +NotebookOutlinePosition[ 14629, 531] +CellTagsIndexPosition[ 14523, 525] WindowTitle->GA WindowFrame->Normal*) @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$152249], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$153257], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GA", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1166659898], + CellID->1097044057], Cell[CellGroupData[{ @@ -169,7 +169,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->731692333], + CellID->128047390], Cell[CellGroupData[{ @@ -443,7 +443,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GA", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -455,7 +455,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 23.715243}", + "built" -> "{2020, 6, 20, 19, 7, 25.344751}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -476,8 +476,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -489,7 +488,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4985, 146, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1166659898]}, + CellID->1097044057]}, "GA"->{ Cell[5618, 175, 119, 4, 27, "Input", CellTags->"GA", @@ -525,8 +524,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13572, 488}, - {"GA", 13702, 492} + {"PrimaryExamplesSection", 13515, 487}, + {"GA", 13645, 491} } *) (*NotebookFileOutline @@ -539,10 +538,10 @@ Cell[4005, 112, 955, 30, 105, "Usage", Cell[CellGroupData[{ Cell[4985, 146, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1166659898], + CellID->1097044057], Cell[CellGroupData[{ Cell[5398, 165, 195, 6, 26, "ExampleSection", - CellID->731692333], + CellID->128047390], Cell[CellGroupData[{ Cell[5618, 175, 119, 4, 27, "Input", CellTags->"GA", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GA5.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GA5.nb index 8ea4bf7ae..45e903639 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GA5.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GA5.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9823, 335] -NotebookOptionsPosition[ 6629, 235] -NotebookOutlinePosition[ 8985, 303] -CellTagsIndexPosition[ 8880, 297] +NotebookDataLength[ 9761, 334] +NotebookOptionsPosition[ 6627, 235] +NotebookOutlinePosition[ 8925, 302] +CellTagsIndexPosition[ 8820, 296] WindowTitle->GA5 WindowFrame->Normal*) @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$148690], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$149698], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GA5", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1661467686], + CellID->733126830], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1558667183], + CellID->601895162], Cell[CellGroupData[{ @@ -248,7 +248,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 15.088315}", + "built" -> "{2020, 6, 20, 19, 7, 17.703498}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -267,8 +267,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -278,26 +277,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4376, 127, 388, 15, 31, "PrimaryExamplesSection", + Cell[4376, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1661467686]}, + CellID->733126830]}, "GA5"->{ - Cell[5010, 156, 89, 3, 27, "Input", + Cell[5008, 156, 89, 3, 27, "Input", CellTags->"GA5", CellID->51140118], - Cell[5102, 161, 273, 10, 40, "Output", + Cell[5100, 161, 273, 10, 40, "Output", CellTags->"GA5"], - Cell[5412, 176, 122, 4, 27, "Input", + Cell[5410, 176, 122, 4, 27, "Input", CellTags->"GA5", CellID->306400430], - Cell[5537, 182, 207, 6, 51, "Output", + Cell[5535, 182, 207, 6, 51, "Output", CellTags->"GA5"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8440, 279}, - {"GA5", 8571, 283} + {"PrimaryExamplesSection", 8381, 278}, + {"GA5", 8511, 282} } *) (*NotebookFileOutline @@ -308,35 +307,35 @@ Cell[3712, 99, 280, 11, 45, "ObjectNameGrid"], Cell[3995, 112, 356, 11, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4376, 127, 388, 15, 31, "PrimaryExamplesSection", +Cell[4376, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1661467686], + CellID->733126830], Cell[CellGroupData[{ -Cell[4789, 146, 196, 6, 26, "ExampleSection", - CellID->1558667183], +Cell[4788, 146, 195, 6, 26, "ExampleSection", + CellID->601895162], Cell[CellGroupData[{ -Cell[5010, 156, 89, 3, 27, "Input", +Cell[5008, 156, 89, 3, 27, "Input", CellTags->"GA5", CellID->51140118], -Cell[5102, 161, 273, 10, 40, "Output", +Cell[5100, 161, 273, 10, 40, "Output", CellTags->"GA5"] }, Open ]], Cell[CellGroupData[{ -Cell[5412, 176, 122, 4, 27, "Input", +Cell[5410, 176, 122, 4, 27, "Input", CellTags->"GA5", CellID->306400430], -Cell[5537, 182, 207, 6, 51, "Output", +Cell[5535, 182, 207, 6, 51, "Output", CellTags->"GA5"] }, Open ]] }, Open ]], -Cell[5771, 192, 31, 0, 29, "SectionFooterSpacer"] +Cell[5769, 192, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[5839, 197, 270, 12, 31, "SeeAlsoSection", +Cell[5837, 197, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6112, 211, 475, 19, 56, "SeeAlso"] +Cell[6110, 211, 475, 19, 56, "SeeAlso"] }, Open ]], -Cell[6602, 233, 23, 0, 41, "FooterCell"] +Cell[6600, 233, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GAD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GAD.nb index a4ba14340..6c814dbb7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GAD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GAD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15908, 580] -NotebookOptionsPosition[ 11332, 431] -NotebookOutlinePosition[ 14393, 520] -CellTagsIndexPosition[ 14286, 514] +NotebookDataLength[ 15905, 580] +NotebookOptionsPosition[ 11331, 431] +NotebookOutlinePosition[ 14391, 520] +CellTagsIndexPosition[ 14284, 514] WindowTitle->GAD WindowFrame->Normal*) @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$149134], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$150142], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GAD", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1169550819], + CellID->956242952], Cell[CellGroupData[{ @@ -169,7 +169,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->585030036], + CellID->864805122], Cell[CellGroupData[{ @@ -444,7 +444,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 16.186326}", + "built" -> "{2020, 6, 20, 19, 7, 18.714551}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -475,46 +475,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4997, 146, 388, 15, 31, "PrimaryExamplesSection", + Cell[4997, 146, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1169550819]}, + CellID->956242952]}, "GAD"->{ - Cell[5630, 175, 121, 4, 27, "Input", + Cell[5629, 175, 121, 4, 27, "Input", CellTags->"GAD", CellID->617064291], - Cell[5754, 181, 289, 11, 37, "Output", + Cell[5753, 181, 289, 11, 37, "Output", CellTags->"GAD"], - Cell[6080, 197, 235, 8, 27, "Input", + Cell[6079, 197, 235, 8, 27, "Input", CellTags->"GAD", CellID->1166403079], - Cell[6318, 207, 880, 37, 37, "Output", + Cell[6317, 207, 880, 37, 37, "Output", CellTags->"GAD"], - Cell[7235, 249, 192, 6, 27, "Input", + Cell[7234, 249, 192, 6, 27, "Input", CellTags->"GAD", CellID->1483888506], - Cell[7430, 257, 299, 9, 51, "Output", + Cell[7429, 257, 299, 9, 51, "Output", CellTags->"GAD"], - Cell[7766, 271, 183, 6, 27, "Input", + Cell[7765, 271, 183, 6, 27, "Input", CellTags->"GAD", CellID->193869943], - Cell[7952, 279, 827, 35, 37, "Output", + Cell[7951, 279, 827, 35, 37, "Output", CellTags->"GAD"], - Cell[8816, 319, 223, 7, 27, "Input", + Cell[8815, 319, 223, 7, 27, "Input", CellTags->"GAD", CellID->488289901], - Cell[9042, 328, 353, 10, 51, "Output", + Cell[9041, 328, 353, 10, 51, "Output", CellTags->"GAD"], - Cell[9432, 343, 273, 9, 27, "Input", + Cell[9431, 343, 273, 9, 27, "Input", CellTags->"GAD", CellID->1528585205], - Cell[9708, 354, 739, 30, 39, "Output", + Cell[9707, 354, 739, 30, 39, "Output", CellTags->"GAD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13265, 476}, - {"GAD", 13396, 480} + {"PrimaryExamplesSection", 13264, 476}, + {"GAD", 13394, 480} } *) (*NotebookFileOutline @@ -525,63 +525,63 @@ Cell[3712, 99, 280, 11, 45, "ObjectNameGrid"], Cell[3995, 112, 977, 30, 105, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4997, 146, 388, 15, 31, "PrimaryExamplesSection", +Cell[4997, 146, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1169550819], + CellID->956242952], Cell[CellGroupData[{ -Cell[5410, 165, 195, 6, 26, "ExampleSection", - CellID->585030036], +Cell[5409, 165, 195, 6, 26, "ExampleSection", + CellID->864805122], Cell[CellGroupData[{ -Cell[5630, 175, 121, 4, 27, "Input", +Cell[5629, 175, 121, 4, 27, "Input", CellTags->"GAD", CellID->617064291], -Cell[5754, 181, 289, 11, 37, "Output", +Cell[5753, 181, 289, 11, 37, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[6080, 197, 235, 8, 27, "Input", +Cell[6079, 197, 235, 8, 27, "Input", CellTags->"GAD", CellID->1166403079], -Cell[6318, 207, 880, 37, 37, "Output", +Cell[6317, 207, 880, 37, 37, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[7235, 249, 192, 6, 27, "Input", +Cell[7234, 249, 192, 6, 27, "Input", CellTags->"GAD", CellID->1483888506], -Cell[7430, 257, 299, 9, 51, "Output", +Cell[7429, 257, 299, 9, 51, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[7766, 271, 183, 6, 27, "Input", +Cell[7765, 271, 183, 6, 27, "Input", CellTags->"GAD", CellID->193869943], -Cell[7952, 279, 827, 35, 37, "Output", +Cell[7951, 279, 827, 35, 37, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[8816, 319, 223, 7, 27, "Input", +Cell[8815, 319, 223, 7, 27, "Input", CellTags->"GAD", CellID->488289901], -Cell[9042, 328, 353, 10, 51, "Output", +Cell[9041, 328, 353, 10, 51, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[9432, 343, 273, 9, 27, "Input", +Cell[9431, 343, 273, 9, 27, "Input", CellTags->"GAD", CellID->1528585205], -Cell[9708, 354, 739, 30, 39, "Output", +Cell[9707, 354, 739, 30, 39, "Output", CellTags->"GAD"] }, Open ]] }, Open ]], -Cell[10474, 388, 31, 0, 70, "SectionFooterSpacer"] +Cell[10473, 388, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10542, 393, 270, 12, 70, "SeeAlsoSection", +Cell[10541, 393, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[10815, 407, 475, 19, 70, "SeeAlso"] +Cell[10814, 407, 475, 19, 70, "SeeAlso"] }, Open ]], -Cell[11305, 429, 23, 0, 70, "FooterCell"] +Cell[11304, 429, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GAE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GAE.nb index 7d7316c9b..c28363a98 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GAE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GAE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 20131, 735] -NotebookOptionsPosition[ 14532, 550] -NotebookOutlinePosition[ 17804, 646] -CellTagsIndexPosition[ 17697, 640] +NotebookDataLength[ 20077, 734] +NotebookOptionsPosition[ 14533, 550] +NotebookOutlinePosition[ 17749, 645] +CellTagsIndexPosition[ 17642, 639] WindowTitle->GAE WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$149585], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$150593], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GAE", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->718369389], + CellID->1302968242], Cell[CellGroupData[{ @@ -169,7 +169,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1585642947], + CellID->2104193888], Cell[CellGroupData[{ @@ -551,7 +551,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GAE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -563,7 +563,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 17.316393}", + "built" -> "{2020, 6, 20, 19, 7, 19.844244}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -585,8 +585,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -596,51 +595,51 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5070, 146, 387, 15, 31, "PrimaryExamplesSection", + Cell[5070, 146, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->718369389]}, + CellID->1302968242]}, "GAD"->{ - Cell[5703, 175, 121, 4, 27, "Input", + Cell[5704, 175, 121, 4, 27, "Input", CellTags->"GAD", CellID->617064291], - Cell[5827, 181, 313, 12, 37, "Output", + Cell[5828, 181, 313, 12, 37, "Output", CellTags->"GAD"], - Cell[6177, 198, 235, 8, 27, "Input", + Cell[6178, 198, 235, 8, 27, "Input", CellTags->"GAD", CellID->1166403079], - Cell[6415, 208, 988, 41, 37, "Output", + Cell[6416, 208, 988, 41, 37, "Output", CellTags->"GAD"], - Cell[7440, 254, 192, 6, 27, "Input", + Cell[7441, 254, 192, 6, 27, "Input", CellTags->"GAD", CellID->1483888506], - Cell[7635, 262, 391, 13, 51, "Output", + Cell[7636, 262, 391, 13, 51, "Output", CellTags->"GAD"], - Cell[8063, 280, 183, 6, 27, "Input", + Cell[8064, 280, 183, 6, 27, "Input", CellTags->"GAD", CellID->193869943], - Cell[8249, 288, 931, 39, 37, "Output", + Cell[8250, 288, 931, 39, 37, "Output", CellTags->"GAD"], - Cell[9217, 332, 223, 7, 27, "Input", + Cell[9218, 332, 223, 7, 27, "Input", CellTags->"GAD", CellID->488289901], - Cell[9443, 341, 353, 10, 51, "Output", + Cell[9444, 341, 353, 10, 51, "Output", CellTags->"GAD"], - Cell[9833, 356, 243, 8, 27, "Input", + Cell[9834, 356, 243, 8, 27, "Input", CellTags->"GAD", CellID->1528585205], - Cell[10079, 366, 346, 13, 37, "Output", + Cell[10080, 366, 346, 13, 37, "Output", CellTags->"GAD"], - Cell[10462, 384, 241, 8, 27, "Input", + Cell[10463, 384, 241, 8, 27, "Input", CellTags->"GAD", CellID->339703616], - Cell[10706, 394, 184, 6, 35, "Output", + Cell[10707, 394, 184, 6, 35, "Output", CellTags->"GAD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16530, 597}, - {"GAD", 16660, 601} + {"PrimaryExamplesSection", 16474, 596}, + {"GAD", 16605, 600} } *) (*NotebookFileOutline @@ -651,92 +650,92 @@ Cell[3788, 100, 280, 11, 45, "ObjectNameGrid"], Cell[4071, 113, 974, 29, 123, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5070, 146, 387, 15, 31, "PrimaryExamplesSection", +Cell[5070, 146, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->718369389], + CellID->1302968242], Cell[CellGroupData[{ -Cell[5482, 165, 196, 6, 26, "ExampleSection", - CellID->1585642947], +Cell[5483, 165, 196, 6, 26, "ExampleSection", + CellID->2104193888], Cell[CellGroupData[{ -Cell[5703, 175, 121, 4, 27, "Input", +Cell[5704, 175, 121, 4, 27, "Input", CellTags->"GAD", CellID->617064291], -Cell[5827, 181, 313, 12, 37, "Output", +Cell[5828, 181, 313, 12, 37, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[6177, 198, 235, 8, 27, "Input", +Cell[6178, 198, 235, 8, 27, "Input", CellTags->"GAD", CellID->1166403079], -Cell[6415, 208, 988, 41, 37, "Output", +Cell[6416, 208, 988, 41, 37, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[7440, 254, 192, 6, 27, "Input", +Cell[7441, 254, 192, 6, 27, "Input", CellTags->"GAD", CellID->1483888506], -Cell[7635, 262, 391, 13, 51, "Output", +Cell[7636, 262, 391, 13, 51, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[8063, 280, 183, 6, 27, "Input", +Cell[8064, 280, 183, 6, 27, "Input", CellTags->"GAD", CellID->193869943], -Cell[8249, 288, 931, 39, 37, "Output", +Cell[8250, 288, 931, 39, 37, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[9217, 332, 223, 7, 27, "Input", +Cell[9218, 332, 223, 7, 27, "Input", CellTags->"GAD", CellID->488289901], -Cell[9443, 341, 353, 10, 51, "Output", +Cell[9444, 341, 353, 10, 51, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[9833, 356, 243, 8, 27, "Input", +Cell[9834, 356, 243, 8, 27, "Input", CellTags->"GAD", CellID->1528585205], -Cell[10079, 366, 346, 13, 37, "Output", +Cell[10080, 366, 346, 13, 37, "Output", CellTags->"GAD"] }, Open ]], Cell[CellGroupData[{ -Cell[10462, 384, 241, 8, 27, "Input", +Cell[10463, 384, 241, 8, 27, "Input", CellTags->"GAD", CellID->339703616], -Cell[10706, 394, 184, 6, 35, "Output", +Cell[10707, 394, 184, 6, 35, "Output", CellTags->"GAD"] }, Open ]], -Cell[10905, 403, 160, 3, 48, "Notes"], +Cell[10906, 403, 160, 3, 48, "Notes"], Cell[CellGroupData[{ -Cell[11090, 410, 107, 2, 27, "Input"], -Cell[11200, 414, 176, 5, 35, "Output"] +Cell[11091, 410, 107, 2, 27, "Input"], +Cell[11201, 414, 176, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[11413, 424, 182, 5, 27, "Input"], -Cell[11598, 431, 664, 13, 79, "Message"], -Cell[12265, 446, 173, 5, 35, "Output"] +Cell[11414, 424, 182, 5, 27, "Input"], +Cell[11599, 431, 664, 13, 79, "Message"], +Cell[12266, 446, 173, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12475, 456, 109, 2, 27, "Input"], -Cell[12587, 460, 178, 5, 35, "Output"] +Cell[12476, 456, 109, 2, 27, "Input"], +Cell[12588, 460, 178, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12802, 470, 183, 5, 27, "Input"], -Cell[12988, 477, 190, 6, 35, "Output"] +Cell[12803, 470, 183, 5, 27, "Input"], +Cell[12989, 477, 190, 6, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[13215, 488, 108, 2, 27, "Input"], -Cell[13326, 492, 177, 5, 35, "Output"] +Cell[13216, 488, 108, 2, 27, "Input"], +Cell[13327, 492, 177, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[13530, 501, 31, 0, 29, "SectionFooterSpacer"] +Cell[13531, 501, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[13598, 506, 270, 12, 31, "SeeAlsoSection", +Cell[13599, 506, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13871, 520, 619, 25, 56, "SeeAlso"] +Cell[13872, 520, 619, 25, 56, "SeeAlso"] }, Open ]], -Cell[14505, 548, 23, 0, 41, "FooterCell"] +Cell[14506, 548, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GFAD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GFAD.nb index af27132b0..4955ab9cd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GFAD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GFAD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12028, 382] -NotebookOptionsPosition[ 8699, 290] -NotebookOutlinePosition[ 11258, 352] -CellTagsIndexPosition[ 11173, 347] +NotebookDataLength[ 11976, 381] +NotebookOptionsPosition[ 8701, 290] +NotebookOutlinePosition[ 11204, 351] +CellTagsIndexPosition[ 11119, 346] WindowTitle->GFAD WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$154879], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$155887], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GFAD", ".html"]], None}]}]}, @@ -132,7 +132,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->415952031], + CellID->1820026523], Cell[CellGroupData[{ @@ -142,7 +142,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->239829988], + CellID->2022735874], Cell[CellGroupData[{ @@ -303,7 +303,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 29.904006}", + "built" -> "{2020, 6, 20, 19, 7, 31.032912}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -328,8 +328,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -339,14 +338,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4241, 119, 387, 15, 31, "PrimaryExamplesSection", + Cell[4241, 119, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->415952031]} + CellID->1820026523]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11030, 340} + {"PrimaryExamplesSection", 10975, 339} } *) (*NotebookFileOutline @@ -357,33 +356,33 @@ Cell[2836, 76, 281, 11, 45, "ObjectNameGrid"], Cell[3120, 89, 1096, 26, 171, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4241, 119, 387, 15, 31, "PrimaryExamplesSection", +Cell[4241, 119, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->415952031], + CellID->1820026523], Cell[CellGroupData[{ -Cell[4653, 138, 195, 6, 26, "ExampleSection", - CellID->239829988], +Cell[4654, 138, 196, 6, 26, "ExampleSection", + CellID->2022735874], Cell[CellGroupData[{ -Cell[4873, 148, 370, 12, 27, "Input", +Cell[4875, 148, 370, 12, 27, "Input", CellID->1372671718], -Cell[5246, 162, 1428, 39, 59, "Output", +Cell[5248, 162, 1428, 39, 59, "Output", CellID->150129956] }, Open ]], Cell[CellGroupData[{ -Cell[6711, 206, 123, 3, 27, "Input", +Cell[6713, 206, 123, 3, 27, "Input", CellID->1951300851], -Cell[6837, 211, 1164, 46, 59, "Output", +Cell[6839, 211, 1164, 46, 59, "Output", CellID->369428740] }, Open ]], Cell[CellGroupData[{ -Cell[8038, 262, 130, 4, 27, "Input", +Cell[8040, 262, 130, 4, 27, "Input", CellID->813934019], -Cell[8171, 268, 462, 15, 72, "Output", +Cell[8173, 268, 462, 15, 72, "Output", CellID->618367511] }, Open ]] }, Open ]] }, Open ]], -Cell[8672, 288, 23, 0, 41, "FooterCell"] +Cell[8674, 288, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GGV.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GGV.nb index c620a5b97..09b2845fe 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GGV.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GGV.nb @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$155315], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$156323], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GGV", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 30.938984}", + "built" -> "{2020, 6, 20, 19, 7, 32.030661}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GHP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GHP.nb index 7c79e6317..3746df0c7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GHP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GHP.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12644, 443] -NotebookOptionsPosition[ 8754, 318] -NotebookOutlinePosition[ 11466, 397] -CellTagsIndexPosition[ 11359, 391] +NotebookDataLength[ 12582, 442] +NotebookOptionsPosition[ 8752, 318] +NotebookOutlinePosition[ 11406, 396] +CellTagsIndexPosition[ 11299, 390] WindowTitle->GHP WindowFrame->Normal*) @@ -83,7 +83,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$156223], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$157231], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GHP", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1853416107], + CellID->454988069], Cell[CellGroupData[{ @@ -160,7 +160,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1687938001], + CellID->215714581], Cell[CellGroupData[{ @@ -319,7 +319,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GHP", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -331,7 +331,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 33.122946}", + "built" -> "{2020, 6, 20, 19, 7, 33.930707}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -351,8 +351,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -362,36 +361,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4732, 137, 388, 15, 31, "PrimaryExamplesSection", + Cell[4732, 137, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1853416107]}, + CellID->454988069]}, "GHP"->{ - Cell[5366, 166, 151, 5, 27, "Input", + Cell[5364, 166, 151, 5, 27, "Input", CellTags->"GHP", CellID->1087938540], - Cell[5520, 173, 376, 15, 38, "Output", + Cell[5518, 173, 376, 15, 38, "Output", CellTags->"GHP"], - Cell[5933, 193, 147, 5, 27, "Input", + Cell[5931, 193, 147, 5, 27, "Input", CellTags->"GHP", CellID->16593768], - Cell[6083, 200, 494, 18, 60, "Output", + Cell[6081, 200, 494, 18, 60, "Output", CellTags->"GHP"], - Cell[6614, 223, 153, 5, 27, "Input", + Cell[6612, 223, 153, 5, 27, "Input", CellTags->"GHP", CellID->1429235603], - Cell[6770, 230, 378, 15, 38, "Output", + Cell[6768, 230, 378, 15, 38, "Output", CellTags->"GHP"], - Cell[7185, 250, 285, 10, 27, "Input", + Cell[7183, 250, 285, 10, 27, "Input", CellTags->"GHP", CellID->1957617706], - Cell[7473, 262, 300, 9, 51, "Output", + Cell[7471, 262, 300, 9, 51, "Output", CellTags->"GHP"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10626, 363}, - {"GHP", 10757, 367} + {"PrimaryExamplesSection", 10567, 362}, + {"GHP", 10697, 366} } *) (*NotebookFileOutline @@ -402,49 +401,49 @@ Cell[3792, 101, 280, 11, 45, "ObjectNameGrid"], Cell[4075, 114, 632, 19, 86, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4732, 137, 388, 15, 31, "PrimaryExamplesSection", +Cell[4732, 137, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1853416107], + CellID->454988069], Cell[CellGroupData[{ -Cell[5145, 156, 196, 6, 26, "ExampleSection", - CellID->1687938001], +Cell[5144, 156, 195, 6, 26, "ExampleSection", + CellID->215714581], Cell[CellGroupData[{ -Cell[5366, 166, 151, 5, 27, "Input", +Cell[5364, 166, 151, 5, 27, "Input", CellTags->"GHP", CellID->1087938540], -Cell[5520, 173, 376, 15, 38, "Output", +Cell[5518, 173, 376, 15, 38, "Output", CellTags->"GHP"] }, Open ]], Cell[CellGroupData[{ -Cell[5933, 193, 147, 5, 27, "Input", +Cell[5931, 193, 147, 5, 27, "Input", CellTags->"GHP", CellID->16593768], -Cell[6083, 200, 494, 18, 60, "Output", +Cell[6081, 200, 494, 18, 60, "Output", CellTags->"GHP"] }, Open ]], Cell[CellGroupData[{ -Cell[6614, 223, 153, 5, 27, "Input", +Cell[6612, 223, 153, 5, 27, "Input", CellTags->"GHP", CellID->1429235603], -Cell[6770, 230, 378, 15, 38, "Output", +Cell[6768, 230, 378, 15, 38, "Output", CellTags->"GHP"] }, Open ]], Cell[CellGroupData[{ -Cell[7185, 250, 285, 10, 27, "Input", +Cell[7183, 250, 285, 10, 27, "Input", CellTags->"GHP", CellID->1957617706], -Cell[7473, 262, 300, 9, 51, "Output", +Cell[7471, 262, 300, 9, 51, "Output", CellTags->"GHP"] }, Open ]] }, Open ]], -Cell[7800, 275, 31, 0, 29, "SectionFooterSpacer"] +Cell[7798, 275, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7868, 280, 270, 12, 31, "SeeAlsoSection", +Cell[7866, 280, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8141, 294, 571, 19, 56, "SeeAlso"] +Cell[8139, 294, 571, 19, 56, "SeeAlso"] }, Open ]], -Cell[8727, 316, 23, 0, 70, "FooterCell"] +Cell[8725, 316, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GO.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GO.nb index 71052f123..3faf2aa7c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GO.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GO.nb @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$158984], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$159992], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GO", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 40.306182}", + "built" -> "{2020, 6, 20, 19, 7, 40.357141}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GP.nb index 92c38639d..707cbf262 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GP.nb @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$159432], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$160440], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GP", ".html"]], None}]}]}, @@ -163,7 +163,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 41.255438}", + "built" -> "{2020, 6, 20, 19, 7, 41.144066}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GS.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GS.nb index 995cc6bba..550b920c9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GS.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GS.nb @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$161227], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$162235], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GS", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1090110818], + CellID->1261089462], Cell[CellGroupData[{ @@ -166,7 +166,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->808016956], + CellID->291639673], Cell[CellGroupData[{ @@ -397,7 +397,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GS", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -409,7 +409,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 45.520183}", + "built" -> "{2020, 6, 20, 19, 7, 44.861481}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -443,7 +443,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5004, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1090110818]}, + CellID->1261089462]}, "GS"->{ Cell[5637, 172, 116, 4, 27, "Input", CellTags->"GS", @@ -488,10 +488,10 @@ Cell[4005, 112, 974, 27, 105, "Usage", Cell[CellGroupData[{ Cell[5004, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1090110818], + CellID->1261089462], Cell[CellGroupData[{ Cell[5417, 162, 195, 6, 26, "ExampleSection", - CellID->808016956], + CellID->291639673], Cell[CellGroupData[{ Cell[5637, 172, 116, 4, 27, "Input", CellTags->"GS", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GSD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GSD.nb index ccd983bab..54fd9e171 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GSD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GSD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14716, 523] +NotebookDataLength[ 14658, 522] NotebookOptionsPosition[ 10306, 383] -NotebookOutlinePosition[ 13374, 470] -CellTagsIndexPosition[ 13267, 464] +NotebookOutlinePosition[ 13316, 469] +CellTagsIndexPosition[ 13209, 463] WindowTitle->GSD WindowFrame->Normal*) @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$160324], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$161332], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GSD", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1012071324], + CellID->312088196], Cell[CellGroupData[{ @@ -167,7 +167,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->539816469], + CellID->1506117666], Cell[CellGroupData[{ @@ -383,8 +383,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GSD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -396,7 +396,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 43.084491}", + "built" -> "{2020, 6, 20, 19, 7, 42.760859}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -419,8 +419,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -430,9 +429,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5006, 144, 388, 15, 31, "PrimaryExamplesSection", + Cell[5006, 144, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1012071324]}, + CellID->312088196]}, "GSD"->{ Cell[5639, 173, 115, 4, 27, "Input", CellTags->"GSD", @@ -463,8 +462,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12393, 431}, - {"GSD", 12524, 435} + {"PrimaryExamplesSection", 12336, 430}, + {"GSD", 12466, 434} } *) (*NotebookFileOutline @@ -472,15 +471,15 @@ Notebook[{ Cell[575, 21, 3136, 76, 53, "AnchorBarGrid", CellID->1], Cell[3714, 99, 280, 11, 45, "ObjectNameGrid"], -Cell[3997, 112, 984, 28, 105, "Usage", +Cell[3997, 112, 984, 28, 121, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5006, 144, 388, 15, 31, "PrimaryExamplesSection", +Cell[5006, 144, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1012071324], + CellID->312088196], Cell[CellGroupData[{ -Cell[5419, 163, 195, 6, 26, "ExampleSection", - CellID->539816469], +Cell[5418, 163, 196, 6, 26, "ExampleSection", + CellID->1506117666], Cell[CellGroupData[{ Cell[5639, 173, 115, 4, 27, "Input", CellTags->"GSD", @@ -522,9 +521,9 @@ Cell[9445, 340, 31, 0, 29, "SectionFooterSpacer"] Cell[CellGroupData[{ Cell[9513, 345, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9786, 359, 478, 19, 56, "SeeAlso"] +Cell[9786, 359, 478, 19, 70, "SeeAlso"] }, Open ]], -Cell[10279, 381, 23, 0, 41, "FooterCell"] +Cell[10279, 381, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GSE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GSE.nb index 74f039d1f..d2d5860a7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GSE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GSE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18395, 653] -NotebookOptionsPosition[ 13547, 500] -NotebookOutlinePosition[ 16623, 587] -CellTagsIndexPosition[ 16516, 581] +NotebookDataLength[ 18330, 652] +NotebookOptionsPosition[ 13545, 500] +NotebookOutlinePosition[ 16560, 586] +CellTagsIndexPosition[ 16453, 580] WindowTitle->GSE WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$160774], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$161782], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GSE", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1106263241], + CellID->787382993], Cell[CellGroupData[{ @@ -167,7 +167,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1743763658], + CellID->440135586], Cell[CellGroupData[{ @@ -501,7 +501,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"GSE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -513,7 +513,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 44.359254}", + "built" -> "{2020, 6, 20, 19, 7, 43.881176}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -536,8 +536,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -547,41 +546,41 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5079, 144, 388, 15, 31, "PrimaryExamplesSection", + Cell[5079, 144, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1106263241]}, + CellID->787382993]}, "GSD"->{ - Cell[5713, 173, 115, 4, 27, "Input", + Cell[5711, 173, 115, 4, 27, "Input", CellTags->"GSD", CellID->4519520], - Cell[5831, 179, 346, 13, 37, "Output", + Cell[5829, 179, 346, 13, 37, "Output", CellTags->"GSD"], - Cell[6214, 197, 182, 7, 27, "Input", + Cell[6212, 197, 182, 7, 27, "Input", CellTags->"GSD", CellID->714510926], - Cell[6399, 206, 383, 13, 51, "Output", + Cell[6397, 206, 383, 13, 51, "Output", CellTags->"GSD"], - Cell[6819, 224, 161, 5, 27, "Input", + Cell[6817, 224, 161, 5, 27, "Input", CellTags->"GSD", CellID->1291429952], - Cell[6983, 231, 1200, 47, 37, "Output", + Cell[6981, 231, 1200, 47, 37, "Output", CellTags->"GSD"], - Cell[8220, 283, 200, 7, 27, "Input", + Cell[8218, 283, 200, 7, 27, "Input", CellTags->"GSD", CellID->1183068674], - Cell[8423, 292, 333, 10, 51, "Output", + Cell[8421, 292, 333, 10, 51, "Output", CellTags->"GSD"], - Cell[8793, 307, 259, 9, 27, "Input", + Cell[8791, 307, 259, 9, 27, "Input", CellTags->"GSD", CellID->957956427], - Cell[9055, 318, 981, 38, 37, "Output", + Cell[9053, 318, 981, 38, 37, "Output", CellTags->"GSD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15640, 548}, - {"GSD", 15771, 552} + {"PrimaryExamplesSection", 15578, 547}, + {"GSD", 15708, 551} } *) (*NotebookFileOutline @@ -592,69 +591,69 @@ Cell[3790, 100, 280, 11, 45, "ObjectNameGrid"], Cell[4073, 113, 981, 27, 122, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5079, 144, 388, 15, 31, "PrimaryExamplesSection", +Cell[5079, 144, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1106263241], + CellID->787382993], Cell[CellGroupData[{ -Cell[5492, 163, 196, 6, 26, "ExampleSection", - CellID->1743763658], +Cell[5491, 163, 195, 6, 26, "ExampleSection", + CellID->440135586], Cell[CellGroupData[{ -Cell[5713, 173, 115, 4, 27, "Input", +Cell[5711, 173, 115, 4, 27, "Input", CellTags->"GSD", CellID->4519520], -Cell[5831, 179, 346, 13, 37, "Output", +Cell[5829, 179, 346, 13, 37, "Output", CellTags->"GSD"] }, Open ]], Cell[CellGroupData[{ -Cell[6214, 197, 182, 7, 27, "Input", +Cell[6212, 197, 182, 7, 27, "Input", CellTags->"GSD", CellID->714510926], -Cell[6399, 206, 383, 13, 51, "Output", +Cell[6397, 206, 383, 13, 51, "Output", CellTags->"GSD"] }, Open ]], Cell[CellGroupData[{ -Cell[6819, 224, 161, 5, 27, "Input", +Cell[6817, 224, 161, 5, 27, "Input", CellTags->"GSD", CellID->1291429952], -Cell[6983, 231, 1200, 47, 37, "Output", +Cell[6981, 231, 1200, 47, 37, "Output", CellTags->"GSD"] }, Open ]], Cell[CellGroupData[{ -Cell[8220, 283, 200, 7, 27, "Input", +Cell[8218, 283, 200, 7, 27, "Input", CellTags->"GSD", CellID->1183068674], -Cell[8423, 292, 333, 10, 51, "Output", +Cell[8421, 292, 333, 10, 51, "Output", CellTags->"GSD"] }, Open ]], Cell[CellGroupData[{ -Cell[8793, 307, 259, 9, 27, "Input", +Cell[8791, 307, 259, 9, 27, "Input", CellTags->"GSD", CellID->957956427], -Cell[9055, 318, 981, 38, 37, "Output", +Cell[9053, 318, 981, 38, 37, "Output", CellTags->"GSD"] }, Open ]], -Cell[10051, 359, 160, 3, 48, "Notes"], -Cell[10214, 364, 127, 4, 27, "Input"], +Cell[10049, 359, 160, 3, 48, "Notes"], +Cell[10212, 364, 127, 4, 70, "Input"], Cell[CellGroupData[{ -Cell[10366, 372, 214, 6, 27, "Input"], -Cell[10583, 380, 664, 13, 79, "Message"], -Cell[11250, 395, 173, 5, 35, "Output"] +Cell[10364, 372, 214, 6, 70, "Input"], +Cell[10581, 380, 664, 13, 70, "Message"], +Cell[11248, 395, 173, 5, 35, "Output"] }, Open ]], -Cell[11438, 403, 128, 4, 27, "Input"], +Cell[11436, 403, 128, 4, 70, "Input"], Cell[CellGroupData[{ -Cell[11591, 411, 214, 6, 27, "Input"], -Cell[11808, 419, 576, 22, 39, "Output"] +Cell[11589, 411, 214, 6, 70, "Input"], +Cell[11806, 419, 576, 22, 39, "Output"] }, Open ]], -Cell[12399, 444, 128, 4, 27, "Input"] +Cell[12397, 444, 128, 4, 70, "Input"] }, Open ]], -Cell[12542, 451, 31, 0, 29, "SectionFooterSpacer"] +Cell[12540, 451, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12610, 456, 270, 12, 31, "SeeAlsoSection", +Cell[12608, 456, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[12883, 470, 622, 25, 56, "SeeAlso"] +Cell[12881, 470, 622, 25, 70, "SeeAlso"] }, Open ]], -Cell[13520, 498, 23, 0, 41, "FooterCell"] +Cell[13518, 498, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GTI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GTI.nb index 38555f024..8cb13a752 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GTI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GTI.nb @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$162111], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$163119], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GTI", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 47.827378}", + "built" -> "{2020, 6, 20, 19, 7, 46.867163}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GV.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GV.nb index d9894ab3c..edbf86ade 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GV.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GV.nb @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$162559], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$163567], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GV", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 48.776521}", + "built" -> "{2020, 6, 20, 19, 7, 47.659667}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma1.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma1.nb index 889e4ecb9..50942abe0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma1.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma1.nb @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$150033], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$151041], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Gamma1", ".html"]], None}]}]}, @@ -176,7 +176,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 18.613921}", + "built" -> "{2020, 6, 20, 19, 7, 20.918338}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma2.nb index ac946952e..84c4ceae0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma2.nb @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$150477], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$151485], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Gamma2", ".html"]], None}]}]}, @@ -175,7 +175,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 19.549158}", + "built" -> "{2020, 6, 20, 19, 7, 21.707288}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma3.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma3.nb index 362e0b558..fc7c9b300 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma3.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gamma3.nb @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$150921], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$151929], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Gamma3", ".html"]], None}]}]}, @@ -177,7 +177,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 20.517376}", + "built" -> "{2020, 6, 20, 19, 7, 22.513839}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GammaEpsilon.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GammaEpsilon.nb index 1995dc146..535efbcdb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GammaEpsilon.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GammaEpsilon.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16058, 557] -NotebookOptionsPosition[ 11887, 430] -NotebookOutlinePosition[ 14728, 509] -CellTagsIndexPosition[ 14612, 503] +NotebookDataLength[ 16005, 556] +NotebookOptionsPosition[ 11888, 430] +NotebookOutlinePosition[ 14674, 508] +CellTagsIndexPosition[ 14558, 502] WindowTitle->GammaEpsilon WindowFrame->Normal*) @@ -81,7 +81,7 @@ GammaEpsilon.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$151369], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$152377], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GammaEpsilon", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->76090078], + CellID->1966569867], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1264124567], + CellID->814497628], Cell["\<\ If the argument is of the form (1+a Epsilon) the result is not calculated but \ @@ -443,7 +443,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 21.513053}", + "built" -> "{2020, 6, 20, 19, 7, 23.328388}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -463,8 +463,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -474,36 +473,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4468, 129, 386, 15, 31, "PrimaryExamplesSection", + Cell[4468, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->76090078]}, + CellID->1966569867]}, "GammaEpsilon"->{ - Cell[5218, 163, 188, 6, 27, "Input", + Cell[5219, 163, 188, 6, 27, "Input", CellTags->"GammaEpsilon", CellID->584681345], - Cell[5409, 171, 1448, 51, 109, "Output", + Cell[5410, 171, 1448, 51, 109, "Output", CellTags->"GammaEpsilon"], - Cell[6894, 227, 188, 6, 27, "Input", + Cell[6895, 227, 188, 6, 27, "Input", CellTags->"GammaEpsilon", CellID->862497870], - Cell[7085, 235, 1196, 44, 61, "Output", + Cell[7086, 235, 1196, 44, 61, "Output", CellTags->"GammaEpsilon"], - Cell[8386, 286, 141, 4, 27, "Input", + Cell[8387, 286, 141, 4, 27, "Input", CellTags->"GammaEpsilon", CellID->910709306], - Cell[8530, 292, 2197, 78, 111, "Output", + Cell[8531, 292, 2197, 78, 111, "Output", CellTags->"GammaEpsilon"], - Cell[10764, 375, 135, 4, 27, "Input", + Cell[10765, 375, 135, 4, 27, "Input", CellTags->"GammaEpsilon", CellID->766916522], - Cell[10902, 381, 223, 8, 37, "Output", + Cell[10903, 381, 223, 8, 37, "Output", CellTags->"GammaEpsilon"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13796, 475}, - {"GammaEpsilon", 13934, 479} + {"PrimaryExamplesSection", 13740, 474}, + {"GammaEpsilon", 13880, 478} } *) (*NotebookFileOutline @@ -514,51 +513,51 @@ Cell[3704, 99, 289, 11, 45, "ObjectNameGrid"], Cell[3996, 112, 447, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4468, 129, 386, 15, 31, "PrimaryExamplesSection", +Cell[4468, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->76090078], + CellID->1966569867], Cell[CellGroupData[{ -Cell[4879, 148, 196, 6, 26, "ExampleSection", - CellID->1264124567], -Cell[5078, 156, 115, 3, 32, "Notes"], +Cell[4881, 148, 195, 6, 26, "ExampleSection", + CellID->814497628], +Cell[5079, 156, 115, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[5218, 163, 188, 6, 27, "Input", +Cell[5219, 163, 188, 6, 27, "Input", CellTags->"GammaEpsilon", CellID->584681345], -Cell[5409, 171, 1448, 51, 109, "Output", +Cell[5410, 171, 1448, 51, 109, "Output", CellTags->"GammaEpsilon"] }, Open ]], Cell[CellGroupData[{ -Cell[6894, 227, 188, 6, 27, "Input", +Cell[6895, 227, 188, 6, 27, "Input", CellTags->"GammaEpsilon", CellID->862497870], -Cell[7085, 235, 1196, 44, 61, "Output", +Cell[7086, 235, 1196, 44, 61, "Output", CellTags->"GammaEpsilon"] }, Open ]], -Cell[8296, 282, 65, 0, 32, "Notes"], +Cell[8297, 282, 65, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[8386, 286, 141, 4, 27, "Input", +Cell[8387, 286, 141, 4, 27, "Input", CellTags->"GammaEpsilon", CellID->910709306], -Cell[8530, 292, 2197, 78, 111, "Output", +Cell[8531, 292, 2197, 78, 111, "Output", CellTags->"GammaEpsilon"] }, Open ]], Cell[CellGroupData[{ -Cell[10764, 375, 135, 4, 27, "Input", +Cell[10765, 375, 135, 4, 27, "Input", CellTags->"GammaEpsilon", CellID->766916522], -Cell[10902, 381, 223, 8, 37, "Output", +Cell[10903, 381, 223, 8, 37, "Output", CellTags->"GammaEpsilon"] }, Open ]] }, Open ]], -Cell[11152, 393, 31, 0, 29, "SectionFooterSpacer"] +Cell[11153, 393, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11220, 398, 270, 12, 31, "SeeAlsoSection", +Cell[11221, 398, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11493, 412, 352, 13, 56, "SeeAlso"] +Cell[11494, 412, 352, 13, 56, "SeeAlso"] }, Open ]], -Cell[11860, 428, 23, 0, 41, "FooterCell"] +Cell[11861, 428, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GammaExpand.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GammaExpand.nb index 535ec3bf5..e8c1c9629 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GammaExpand.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GammaExpand.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11362, 385] -NotebookOptionsPosition[ 7698, 273] -NotebookOutlinePosition[ 10311, 346] -CellTagsIndexPosition[ 10198, 340] +NotebookDataLength[ 11309, 384] +NotebookOptionsPosition[ 7700, 273] +NotebookOutlinePosition[ 10256, 345] +CellTagsIndexPosition[ 10143, 339] WindowTitle->GammaExpand WindowFrame->Normal*) @@ -79,7 +79,7 @@ GammaExpand.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$151806], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$152814], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GammaExpand", ".html"]], None}]}]}, @@ -139,7 +139,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->472552310], + CellID->921467754], Cell[CellGroupData[{ @@ -149,7 +149,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->60948968], + CellID->1829479915], Cell[CellGroupData[{ @@ -274,7 +274,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GammaExpand", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -286,7 +286,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 22.606577}", + "built" -> "{2020, 6, 20, 19, 7, 24.320044}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -305,8 +305,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -318,29 +317,29 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4329, 126, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->472552310]}, + CellID->921467754]}, "GammaExpand"->{ - Cell[4960, 155, 204, 6, 27, "Input", + Cell[4962, 155, 204, 6, 27, "Input", CellTags->"GammaExpand", CellID->53996644], - Cell[5167, 163, 415, 14, 37, "Output", + Cell[5169, 163, 415, 14, 37, "Output", CellTags->"GammaExpand"], - Cell[5619, 182, 216, 7, 27, "Input", + Cell[5621, 182, 216, 7, 27, "Input", CellTags->"GammaExpand", CellID->1712828018], - Cell[5838, 191, 718, 25, 59, "Output", + Cell[5840, 191, 718, 25, 59, "Output", CellTags->"GammaExpand"], - Cell[6593, 221, 205, 6, 27, "Input", + Cell[6595, 221, 205, 6, 27, "Input", CellTags->"GammaExpand", CellID->509676592], - Cell[6801, 229, 288, 9, 37, "Output", + Cell[6803, 229, 288, 9, 37, "Output", CellTags->"GammaExpand"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9557, 317}, - {"GammaExpand", 9695, 321} + {"PrimaryExamplesSection", 9502, 316}, + {"GammaExpand", 9640, 320} } *) (*NotebookFileOutline @@ -353,40 +352,40 @@ Cell[3900, 110, 404, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4329, 126, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->472552310], + CellID->921467754], Cell[CellGroupData[{ -Cell[4741, 145, 194, 6, 26, "ExampleSection", - CellID->60948968], +Cell[4741, 145, 196, 6, 26, "ExampleSection", + CellID->1829479915], Cell[CellGroupData[{ -Cell[4960, 155, 204, 6, 27, "Input", +Cell[4962, 155, 204, 6, 27, "Input", CellTags->"GammaExpand", CellID->53996644], -Cell[5167, 163, 415, 14, 37, "Output", +Cell[5169, 163, 415, 14, 37, "Output", CellTags->"GammaExpand"] }, Open ]], Cell[CellGroupData[{ -Cell[5619, 182, 216, 7, 27, "Input", +Cell[5621, 182, 216, 7, 27, "Input", CellTags->"GammaExpand", CellID->1712828018], -Cell[5838, 191, 718, 25, 59, "Output", +Cell[5840, 191, 718, 25, 59, "Output", CellTags->"GammaExpand"] }, Open ]], Cell[CellGroupData[{ -Cell[6593, 221, 205, 6, 27, "Input", +Cell[6595, 221, 205, 6, 27, "Input", CellTags->"GammaExpand", CellID->509676592], -Cell[6801, 229, 288, 9, 37, "Output", +Cell[6803, 229, 288, 9, 37, "Output", CellTags->"GammaExpand"] }, Open ]] }, Open ]], -Cell[7116, 242, 31, 0, 29, "SectionFooterSpacer"] +Cell[7118, 242, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7184, 247, 270, 12, 31, "SeeAlsoSection", +Cell[7186, 247, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7457, 261, 199, 7, 56, "SeeAlso"] +Cell[7459, 261, 199, 7, 56, "SeeAlso"] }, Open ]], -Cell[7671, 271, 23, 0, 41, "FooterCell"] +Cell[7673, 271, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gauge.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gauge.nb index 1883b4706..689b78935 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gauge.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gauge.nb @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$153126], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$154134], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Gauge", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 25.792519}", + "built" -> "{2020, 6, 20, 19, 7, 27.220980}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GaugeField.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GaugeField.nb index 1acc49d58..9435ded57 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GaugeField.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GaugeField.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10303, 342] -NotebookOptionsPosition[ 6900, 241] -NotebookOutlinePosition[ 9433, 310] -CellTagsIndexPosition[ 9321, 304] +NotebookDataLength[ 10249, 341] +NotebookOptionsPosition[ 6901, 241] +NotebookOutlinePosition[ 9378, 309] +CellTagsIndexPosition[ 9266, 303] WindowTitle->GaugeField WindowFrame->Normal*) @@ -81,7 +81,7 @@ GaugeField.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$152690], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$153698], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GaugeField", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->550294348], + CellID->1902455443], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1849237363], + CellID->1651740328], Cell[CellGroupData[{ @@ -242,7 +242,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GaugeField", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -254,7 +254,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 24.791362}", + "built" -> "{2020, 6, 20, 19, 7, 26.315314}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -274,8 +274,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -285,26 +284,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4488, 129, 387, 15, 31, "PrimaryExamplesSection", + Cell[4488, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->550294348]}, + CellID->1902455443]}, "GaugeField"->{ - Cell[5121, 158, 105, 3, 27, "Input", + Cell[5122, 158, 105, 3, 27, "Input", CellTags->"GaugeField", CellID->1050712800], - Cell[5229, 163, 191, 6, 35, "Output", + Cell[5230, 163, 191, 6, 35, "Output", CellTags->"GaugeField"], - Cell[5457, 174, 256, 7, 27, "Input", + Cell[5458, 174, 256, 7, 27, "Input", CellTags->"GaugeField", CellID->1376527682], - Cell[5716, 183, 401, 17, 40, "Output", + Cell[5717, 183, 401, 17, 40, "Output", CellTags->"GaugeField"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8843, 286}, - {"GaugeField", 8980, 290} + {"PrimaryExamplesSection", 8787, 285}, + {"GaugeField", 8925, 289} } *) (*NotebookFileOutline @@ -315,35 +314,35 @@ Cell[3708, 99, 287, 11, 45, "ObjectNameGrid"], Cell[3998, 112, 465, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4488, 129, 387, 15, 31, "PrimaryExamplesSection", +Cell[4488, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->550294348], + CellID->1902455443], Cell[CellGroupData[{ -Cell[4900, 148, 196, 6, 26, "ExampleSection", - CellID->1849237363], +Cell[4901, 148, 196, 6, 26, "ExampleSection", + CellID->1651740328], Cell[CellGroupData[{ -Cell[5121, 158, 105, 3, 27, "Input", +Cell[5122, 158, 105, 3, 27, "Input", CellTags->"GaugeField", CellID->1050712800], -Cell[5229, 163, 191, 6, 35, "Output", +Cell[5230, 163, 191, 6, 35, "Output", CellTags->"GaugeField"] }, Open ]], Cell[CellGroupData[{ -Cell[5457, 174, 256, 7, 27, "Input", +Cell[5458, 174, 256, 7, 27, "Input", CellTags->"GaugeField", CellID->1376527682], -Cell[5716, 183, 401, 17, 40, "Output", +Cell[5717, 183, 401, 17, 40, "Output", CellTags->"GaugeField"] }, Open ]] }, Open ]], -Cell[6144, 204, 31, 0, 29, "SectionFooterSpacer"] +Cell[6145, 204, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6212, 209, 270, 12, 31, "SeeAlsoSection", +Cell[6213, 209, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6485, 223, 373, 13, 56, "SeeAlso"] +Cell[6486, 223, 373, 13, 56, "SeeAlso"] }, Open ]], -Cell[6873, 239, 23, 0, 41, "FooterCell"] +Cell[6874, 239, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GaugeXi.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GaugeXi.nb index 2ac1971d2..03d68b663 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GaugeXi.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GaugeXi.nb @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$153570], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$154578], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GaugeXi", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 26.722081}", + "built" -> "{2020, 6, 20, 19, 7, 28.270745}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GenPaVe.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GenPaVe.nb index b45240f45..36e66719a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GenPaVe.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GenPaVe.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 24526, 848] -NotebookOptionsPosition[ 21310, 757] -NotebookOutlinePosition[ 23744, 818] -CellTagsIndexPosition[ 23659, 813] +NotebookDataLength[ 24466, 847] +NotebookOptionsPosition[ 21309, 757] +NotebookOutlinePosition[ 23685, 817] +CellTagsIndexPosition[ 23600, 812] WindowTitle->GenPaVe WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$154444], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$155452], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GenPaVe", ".html"]], None}]}]}, @@ -135,7 +135,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1660470701], + CellID->353710828], Cell[CellGroupData[{ @@ -145,7 +145,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->963975070], + CellID->738732987], Cell[CellGroupData[{ @@ -758,7 +758,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GenPaVe", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -770,7 +770,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 28.816045}", + "built" -> "{2020, 6, 20, 19, 7, 30.056784}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -794,8 +794,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -805,14 +804,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4306, 122, 388, 15, 31, "PrimaryExamplesSection", + Cell[4306, 122, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1660470701]} + CellID->353710828]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 23515, 806} + {"PrimaryExamplesSection", 23457, 805} } *) (*NotebookFileOutline @@ -823,33 +822,33 @@ Cell[2851, 76, 284, 11, 45, "ObjectNameGrid"], Cell[3138, 89, 1143, 29, 136, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4306, 122, 388, 15, 31, "PrimaryExamplesSection", +Cell[4306, 122, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1660470701], + CellID->353710828], Cell[CellGroupData[{ -Cell[4719, 141, 195, 6, 26, "ExampleSection", - CellID->963975070], +Cell[4718, 141, 195, 6, 26, "ExampleSection", + CellID->738732987], Cell[CellGroupData[{ -Cell[4939, 151, 603, 21, 27, "Input", +Cell[4938, 151, 603, 21, 27, "Input", CellID->368433704], -Cell[5545, 174, 3032, 101, 66, "Output", +Cell[5544, 174, 3032, 101, 66, "Output", CellID->309973990] }, Open ]], Cell[CellGroupData[{ -Cell[8614, 280, 177, 5, 27, "Input", +Cell[8613, 280, 177, 5, 27, "Input", CellID->1936776923], -Cell[8794, 287, 7063, 269, 114, "Output", +Cell[8793, 287, 7063, 269, 114, "Output", CellID->1532602074] }, Open ]], Cell[CellGroupData[{ -Cell[15894, 561, 227, 6, 27, "Input", +Cell[15893, 561, 227, 6, 27, "Input", CellID->1745093936], -Cell[16124, 569, 5120, 181, 129, "Output", +Cell[16123, 569, 5120, 181, 129, "Output", CellID->1743003657] }, Open ]] }, Open ]] }, Open ]], -Cell[21283, 755, 23, 0, 70, "FooterCell"] +Cell[21282, 755, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GenericPropagatorDenominator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GenericPropagatorDenominator.nb index 3b31f20e4..89f0e4bc7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GenericPropagatorDenominator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GenericPropagatorDenominator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10843, 324] +NotebookDataLength[ 10786, 323] NotebookOptionsPosition[ 7634, 237] -NotebookOutlinePosition[ 10224, 300] -CellTagsIndexPosition[ 10140, 295] +NotebookOutlinePosition[ 10167, 299] +CellTagsIndexPosition[ 10083, 294] WindowTitle->GenericPropagatorDenominator WindowFrame->Normal*) @@ -61,7 +61,7 @@ GenericPropagatorDenominator.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$154012], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$155020], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GenericPropagatorDenominator", ".html"]], None}]}]}, @@ -129,7 +129,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1762351469], + CellID->1950778714], Cell[CellGroupData[{ @@ -139,7 +139,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->138778744], + CellID->269409316], Cell[CellGroupData[{ @@ -250,7 +250,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 27.733186}", + "built" -> "{2020, 6, 20, 19, 7, 29.072550}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -276,8 +276,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -289,12 +288,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4224, 116, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1762351469]} + CellID->1950778714]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9996, 288} + {"PrimaryExamplesSection", 9939, 287} } *) (*NotebookFileOutline @@ -307,10 +306,10 @@ Cell[3294, 92, 905, 20, 154, "Usage", Cell[CellGroupData[{ Cell[4224, 116, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1762351469], + CellID->1950778714], Cell[CellGroupData[{ Cell[4637, 135, 195, 6, 26, "ExampleSection", - CellID->138778744], + CellID->269409316], Cell[CellGroupData[{ Cell[4857, 145, 245, 7, 27, "Input", CellID->1373353974], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GhostPropagator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GhostPropagator.nb index 85af6659d..cb8006fb1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GhostPropagator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GhostPropagator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14877, 520] -NotebookOptionsPosition[ 10803, 395] -NotebookOutlinePosition[ 13308, 464] -CellTagsIndexPosition[ 13189, 458] +NotebookDataLength[ 14882, 520] +NotebookOptionsPosition[ 10805, 395] +NotebookOutlinePosition[ 13311, 464] +CellTagsIndexPosition[ 13192, 458] WindowTitle->GhostPropagator WindowFrame->Normal*) @@ -83,7 +83,7 @@ GhostPropagator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$155776], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$156784], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GhostPropagator", ".html"]], None}]}]}, @@ -167,7 +167,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->67709635], + CellID->654112286], Cell["", "SectionHeaderSpacer"], @@ -219,7 +219,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->906798300], + CellID->1893658216], Cell[CellGroupData[{ @@ -229,7 +229,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1553986753], + CellID->1937541171], Cell[CellGroupData[{ @@ -408,7 +408,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 31.985995}", + "built" -> "{2020, 6, 20, 19, 7, 32.888197}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -439,26 +439,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6552, 206, 387, 15, 31, "PrimaryExamplesSection", + Cell[6553, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->906798300]}, + CellID->1893658216]}, "GhostPropagator"->{ - Cell[7185, 235, 174, 5, 27, "Input", + Cell[7187, 235, 174, 5, 27, "Input", CellTags->"GhostPropagator", CellID->785205895], - Cell[7362, 242, 388, 15, 38, "Output", + Cell[7364, 242, 388, 15, 38, "Output", CellTags->"GhostPropagator"], - Cell[8759, 305, 129, 4, 27, "Input", + Cell[8761, 305, 129, 4, 27, "Input", CellTags->"GhostPropagator", CellID->357152074], - Cell[8891, 311, 292, 10, 37, "Output", + Cell[8893, 311, 292, 10, 37, "Output", CellTags->"GhostPropagator"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12687, 440}, - {"GhostPropagator", 12829, 444} + {"PrimaryExamplesSection", 12689, 440}, + {"GhostPropagator", 12832, 444} } *) (*NotebookFileOutline @@ -470,58 +470,58 @@ Cell[CellGroupData[{ Cell[4176, 116, 838, 25, 148, "Usage", CellID->2010081510], Cell[CellGroupData[{ -Cell[5039, 145, 737, 24, 31, "NotesSection", +Cell[5039, 145, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->67709635], -Cell[5779, 171, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5813, 173, 251, 8, 70, "Notes"], + CellID->654112286], +Cell[5780, 171, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5814, 173, 251, 8, 32, "Notes"], Cell[CellGroupData[{ -Cell[6089, 185, 99, 2, 70, "Input"], -Cell[6191, 189, 300, 10, 37, "Output"] +Cell[6090, 185, 99, 2, 27, "Input"], +Cell[6192, 189, 300, 10, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6552, 206, 387, 15, 31, "PrimaryExamplesSection", +Cell[6553, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->906798300], + CellID->1893658216], Cell[CellGroupData[{ -Cell[6964, 225, 196, 6, 26, "ExampleSection", - CellID->1553986753], +Cell[6966, 225, 196, 6, 26, "ExampleSection", + CellID->1937541171], Cell[CellGroupData[{ -Cell[7185, 235, 174, 5, 27, "Input", +Cell[7187, 235, 174, 5, 27, "Input", CellTags->"GhostPropagator", CellID->785205895], -Cell[7362, 242, 388, 15, 38, "Output", +Cell[7364, 242, 388, 15, 38, "Output", CellTags->"GhostPropagator"] }, Open ]], Cell[CellGroupData[{ -Cell[7787, 262, 84, 2, 27, "Input"], -Cell[7874, 266, 718, 28, 65, "Output"] +Cell[7789, 262, 84, 2, 27, "Input"], +Cell[7876, 266, 718, 28, 65, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8629, 299, 105, 2, 9, "ExampleDelimiter"], +Cell[8631, 299, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[8759, 305, 129, 4, 27, "Input", +Cell[8761, 305, 129, 4, 27, "Input", CellTags->"GhostPropagator", CellID->357152074], -Cell[8891, 311, 292, 10, 37, "Output", +Cell[8893, 311, 292, 10, 37, "Output", CellTags->"GhostPropagator"] }, Open ]], Cell[CellGroupData[{ -Cell[9220, 326, 84, 2, 27, "Input"], -Cell[9307, 330, 476, 17, 60, "Output"] +Cell[9222, 326, 84, 2, 27, "Input"], +Cell[9309, 330, 476, 17, 60, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[9822, 352, 31, 0, 29, "SectionFooterSpacer"] +Cell[9824, 352, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9890, 357, 270, 12, 31, "SeeAlsoSection", +Cell[9892, 357, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10163, 371, 598, 19, 56, "SeeAlso"] +Cell[10165, 371, 598, 19, 56, "SeeAlso"] }, Open ]], -Cell[10776, 393, 23, 0, 41, "FooterCell"] +Cell[10778, 393, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonField.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonField.nb index ca3c08872..9e5ddcc21 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonField.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonField.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9763, 330] -NotebookOptionsPosition[ 6487, 231] -NotebookOutlinePosition[ 8895, 298] -CellTagsIndexPosition[ 8783, 292] +NotebookDataLength[ 9701, 329] +NotebookOptionsPosition[ 6485, 231] +NotebookOutlinePosition[ 8835, 297] +CellTagsIndexPosition[ 8723, 291] WindowTitle->GluonField WindowFrame->Normal*) @@ -79,7 +79,7 @@ GluonField.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$156661], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$157669], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GluonField", ".html"]], None}]}]}, @@ -138,7 +138,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1170093930], + CellID->538561834], Cell[CellGroupData[{ @@ -148,7 +148,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1644362186], + CellID->766937330], Cell[CellGroupData[{ @@ -231,8 +231,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GluonField", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -244,7 +244,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 34.190798}", + "built" -> "{2020, 6, 20, 19, 7, 34.935847}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -262,8 +262,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -273,26 +272,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4255, 125, 388, 15, 31, "PrimaryExamplesSection", + Cell[4255, 125, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1170093930]}, + CellID->538561834]}, "GluonField"->{ - Cell[4889, 154, 104, 3, 27, "Input", + Cell[4887, 154, 104, 3, 27, "Input", CellTags->"GluonField", CellID->807080920], - Cell[4996, 159, 191, 6, 35, "Output", + Cell[4994, 159, 191, 6, 35, "Output", CellTags->"GluonField"], - Cell[5224, 170, 256, 7, 27, "Input", + Cell[5222, 170, 256, 7, 27, "Input", CellTags->"GluonField", CellID->1368218379], - Cell[5483, 179, 401, 17, 40, "Output", + Cell[5481, 179, 401, 17, 40, "Output", CellTags->"GluonField"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8305, 274}, - {"GluonField", 8443, 278} + {"PrimaryExamplesSection", 8246, 273}, + {"GluonField", 8383, 277} } *) (*NotebookFileOutline @@ -303,35 +302,35 @@ Cell[3600, 97, 287, 11, 45, "ObjectNameGrid"], Cell[3890, 110, 340, 11, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4255, 125, 388, 15, 31, "PrimaryExamplesSection", +Cell[4255, 125, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1170093930], + CellID->538561834], Cell[CellGroupData[{ -Cell[4668, 144, 196, 6, 26, "ExampleSection", - CellID->1644362186], +Cell[4667, 144, 195, 6, 26, "ExampleSection", + CellID->766937330], Cell[CellGroupData[{ -Cell[4889, 154, 104, 3, 27, "Input", +Cell[4887, 154, 104, 3, 27, "Input", CellTags->"GluonField", CellID->807080920], -Cell[4996, 159, 191, 6, 35, "Output", +Cell[4994, 159, 191, 6, 35, "Output", CellTags->"GluonField"] }, Open ]], Cell[CellGroupData[{ -Cell[5224, 170, 256, 7, 27, "Input", +Cell[5222, 170, 256, 7, 27, "Input", CellTags->"GluonField", CellID->1368218379], -Cell[5483, 179, 401, 17, 40, "Output", +Cell[5481, 179, 401, 17, 40, "Output", CellTags->"GluonField"] }, Open ]] }, Open ]], -Cell[5911, 200, 31, 0, 29, "SectionFooterSpacer"] +Cell[5909, 200, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[5979, 205, 270, 12, 31, "SeeAlsoSection", +Cell[5977, 205, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6252, 219, 193, 7, 56, "SeeAlso"] +Cell[6250, 219, 193, 7, 56, "SeeAlso"] }, Open ]], -Cell[6460, 229, 23, 0, 41, "FooterCell"] +Cell[6458, 229, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonGhostVertex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonGhostVertex.nb index 95c74d570..f75deb9c3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonGhostVertex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonGhostVertex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15477, 523] -NotebookOptionsPosition[ 11445, 405] -NotebookOutlinePosition[ 14140, 476] -CellTagsIndexPosition[ 14020, 470] +NotebookDataLength[ 15424, 522] +NotebookOptionsPosition[ 11446, 405] +NotebookOutlinePosition[ 14086, 475] +CellTagsIndexPosition[ 13966, 469] WindowTitle->GluonGhostVertex WindowFrame->Normal*) @@ -88,7 +88,7 @@ GluonGhostVertex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$157103], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$158111], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GluonGhostVertex", ".html"]], None}]}]}, @@ -174,7 +174,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1286729640], + CellID->1972347725], Cell["", "SectionHeaderSpacer"], @@ -247,7 +247,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->303763348], + CellID->407103227], Cell[CellGroupData[{ @@ -257,7 +257,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->693409499], + CellID->1265945198], Cell[CellGroupData[{ @@ -406,7 +406,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GluonGhostVertex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -418,7 +418,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 35.406504}", + "built" -> "{2020, 6, 20, 19, 7, 35.954802}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -440,8 +440,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -456,21 +455,21 @@ CellTagsIndex->{ CellID->607510152], Cell[7055, 214, 410, 13, 37, "Output", CellTags->"GluonGhostVertex"], - Cell[8158, 263, 392, 12, 27, "Input", + Cell[8159, 263, 392, 12, 27, "Input", CellTags->"GluonGhostVertex", CellID->1492094433], - Cell[8553, 277, 678, 28, 40, "Output", + Cell[8554, 277, 678, 28, 40, "Output", CellTags->"GluonGhostVertex"]}, "PrimaryExamplesSection"->{ Cell[7526, 234, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->303763348]} + CellID->407103227]} } *) (*CellTagsIndex CellTagsIndex->{ - {"GluonGhostVertex", 13505, 452}, - {"PrimaryExamplesSection", 13877, 463} + {"GluonGhostVertex", 13451, 451}, + {"PrimaryExamplesSection", 13823, 462} } *) (*NotebookFileOutline @@ -484,7 +483,7 @@ Cell[4393, 121, 1012, 27, 119, "Usage", Cell[CellGroupData[{ Cell[5430, 152, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1286729640], + CellID->1972347725], Cell[6172, 178, 31, 0, 70, "SectionHeaderSpacer"], Cell[6206, 180, 254, 8, 70, "Notes"], Cell[6463, 190, 415, 14, 70, "Notes", @@ -501,30 +500,30 @@ Cell[7055, 214, 410, 13, 37, "Output", Cell[CellGroupData[{ Cell[7526, 234, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->303763348], + CellID->407103227], Cell[CellGroupData[{ -Cell[7938, 253, 195, 6, 26, "ExampleSection", - CellID->693409499], +Cell[7938, 253, 196, 6, 26, "ExampleSection", + CellID->1265945198], Cell[CellGroupData[{ -Cell[8158, 263, 392, 12, 27, "Input", +Cell[8159, 263, 392, 12, 27, "Input", CellTags->"GluonGhostVertex", CellID->1492094433], -Cell[8553, 277, 678, 28, 40, "Output", +Cell[8554, 277, 678, 28, 40, "Output", CellTags->"GluonGhostVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[9268, 310, 84, 2, 27, "Input"], -Cell[9355, 314, 746, 32, 43, "Output"] +Cell[9269, 310, 84, 2, 27, "Input"], +Cell[9356, 314, 746, 32, 43, "Output"] }, Open ]] }, Open ]], -Cell[10128, 350, 31, 0, 29, "SectionFooterSpacer"] +Cell[10129, 350, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10196, 355, 270, 12, 31, "SeeAlsoSection", +Cell[10197, 355, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10469, 369, 934, 31, 71, "SeeAlso"] +Cell[10470, 369, 934, 31, 71, "SeeAlso"] }, Open ]], -Cell[11418, 403, 23, 0, 41, "FooterCell"] +Cell[11419, 403, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonPropagator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonPropagator.nb index b05afdc04..129b62de6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonPropagator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonPropagator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 42383, 1550] +NotebookDataLength[ 42326, 1549] NotebookOptionsPosition[ 35070, 1321] -NotebookOutlinePosition[ 38951, 1428] -CellTagsIndexPosition[ 38830, 1422] +NotebookOutlinePosition[ 38894, 1427] +CellTagsIndexPosition[ 38773, 1421] WindowTitle->GluonPropagator WindowFrame->Normal*) @@ -87,7 +87,7 @@ GluonPropagator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$157593], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$158601], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GluonPropagator", ".html"]], None}]}]}, @@ -186,7 +186,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2079292544], + CellID->625150897], Cell["", "SectionHeaderSpacer"], @@ -272,7 +272,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1965231034], + CellID->1140230058], Cell[CellGroupData[{ @@ -282,7 +282,7 @@ Cell[TextData[{ Cell["(5)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->104593034], + CellID->1867840360], Cell[CellGroupData[{ @@ -1334,7 +1334,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 36.674137}", + "built" -> "{2020, 6, 20, 19, 7, 37.022128}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1356,8 +1356,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1367,9 +1366,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[8229, 259, 388, 15, 31, "PrimaryExamplesSection", + Cell[8228, 259, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1965231034]}, + CellID->1140230058]}, "GluonPropagator"->{ Cell[8862, 288, 206, 6, 27, "Input", CellTags->"GluonPropagator", @@ -1421,8 +1420,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 37093, 1368}, - {"GluonPropagator", 37236, 1372} + {"PrimaryExamplesSection", 37036, 1367}, + {"GluonPropagator", 37179, 1371} } *) (*NotebookFileOutline @@ -1434,27 +1433,27 @@ Cell[CellGroupData[{ Cell[4370, 120, 1332, 40, 148, "Usage", CellID->2010081510], Cell[CellGroupData[{ -Cell[5727, 164, 739, 24, 31, "NotesSection", +Cell[5727, 164, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2079292544], -Cell[6469, 190, 31, 0, 70, "SectionHeaderSpacer"], -Cell[6503, 192, 250, 8, 70, "Notes"], -Cell[6756, 202, 356, 13, 70, "Notes", + CellID->625150897], +Cell[6468, 190, 31, 0, 14, "SectionHeaderSpacer"], +Cell[6502, 192, 250, 8, 32, "Notes"], +Cell[6755, 202, 356, 13, 32, "Notes", CellID->1067943069], -Cell[7115, 217, 386, 12, 70, "Notes"], +Cell[7114, 217, 386, 12, 49, "Notes"], Cell[CellGroupData[{ -Cell[7526, 233, 99, 2, 70, "Input"], -Cell[7628, 237, 540, 15, 56, "Output"] +Cell[7525, 233, 99, 2, 27, "Input"], +Cell[7627, 237, 540, 15, 56, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[8229, 259, 388, 15, 31, "PrimaryExamplesSection", +Cell[8228, 259, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1965231034], + CellID->1140230058], Cell[CellGroupData[{ -Cell[8642, 278, 195, 6, 26, "ExampleSection", - CellID->104593034], +Cell[8641, 278, 196, 6, 26, "ExampleSection", + CellID->1867840360], Cell[CellGroupData[{ Cell[8862, 288, 206, 6, 27, "Input", CellTags->"GluonPropagator", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonSelfEnergy.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonSelfEnergy.nb index 87a95ec4c..21b763990 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonSelfEnergy.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonSelfEnergy.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19555, 685] -NotebookOptionsPosition[ 15800, 572] -NotebookOutlinePosition[ 18314, 641] -CellTagsIndexPosition[ 18195, 635] +NotebookDataLength[ 19501, 684] +NotebookOptionsPosition[ 15802, 572] +NotebookOutlinePosition[ 18258, 640] +CellTagsIndexPosition[ 18139, 634] WindowTitle->GluonSelfEnergy WindowFrame->Normal*) @@ -85,7 +85,7 @@ GluonSelfEnergy.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$158049], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$159057], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GluonSelfEnergy", ".html"]], None}]}]}, @@ -160,7 +160,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1101359715], + CellID->1581393849], Cell["", "SectionHeaderSpacer"], @@ -218,7 +218,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->402777423], + CellID->2005035180], Cell[CellGroupData[{ @@ -228,7 +228,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->822962424], + CellID->1023324955], Cell[CellGroupData[{ @@ -572,8 +572,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"GluonSelfEnergy", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -585,7 +585,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 37.982017}", + "built" -> "{2020, 6, 20, 19, 7, 38.162735}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -605,8 +605,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -616,26 +615,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6689, 205, 387, 15, 31, "PrimaryExamplesSection", + Cell[6689, 205, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->402777423]}, + CellID->2005035180]}, "GluonSelfEnergy"->{ - Cell[7321, 234, 317, 10, 27, "Input", + Cell[7323, 234, 317, 10, 27, "Input", CellTags->"GluonSelfEnergy", CellID->407959539], - Cell[7641, 246, 3130, 122, 96, "Output", + Cell[7643, 246, 3130, 122, 96, "Output", CellTags->"GluonSelfEnergy"], - Cell[10808, 373, 366, 11, 27, "Input", + Cell[10810, 373, 366, 11, 27, "Input", CellTags->"GluonSelfEnergy", CellID->1914387770], - Cell[11177, 386, 3474, 133, 141, "Output", + Cell[11179, 386, 3474, 133, 141, "Output", CellTags->"GluonSelfEnergy"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17683, 617}, - {"GluonSelfEnergy", 17825, 621} + {"PrimaryExamplesSection", 17626, 616}, + {"GluonSelfEnergy", 17769, 620} } *) (*NotebookFileOutline @@ -649,7 +648,7 @@ Cell[4270, 118, 540, 16, 85, "Usage", Cell[CellGroupData[{ Cell[4835, 138, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1101359715], + CellID->1581393849], Cell[5577, 164, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5633, 168, 98, 2, 70, "Input"], @@ -658,35 +657,35 @@ Cell[5734, 172, 894, 26, 64, "Output"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6689, 205, 387, 15, 31, "PrimaryExamplesSection", +Cell[6689, 205, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->402777423], + CellID->2005035180], Cell[CellGroupData[{ -Cell[7101, 224, 195, 6, 26, "ExampleSection", - CellID->822962424], +Cell[7102, 224, 196, 6, 26, "ExampleSection", + CellID->1023324955], Cell[CellGroupData[{ -Cell[7321, 234, 317, 10, 27, "Input", +Cell[7323, 234, 317, 10, 27, "Input", CellTags->"GluonSelfEnergy", CellID->407959539], -Cell[7641, 246, 3130, 122, 96, "Output", +Cell[7643, 246, 3130, 122, 96, "Output", CellTags->"GluonSelfEnergy"] }, Open ]], Cell[CellGroupData[{ -Cell[10808, 373, 366, 11, 27, "Input", +Cell[10810, 373, 366, 11, 27, "Input", CellTags->"GluonSelfEnergy", CellID->1914387770], -Cell[11177, 386, 3474, 133, 141, "Output", +Cell[11179, 386, 3474, 133, 141, "Output", CellTags->"GluonSelfEnergy"] }, Open ]] }, Open ]], -Cell[14678, 523, 31, 0, 29, "SectionFooterSpacer"] +Cell[14680, 523, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[14746, 528, 270, 12, 31, "SeeAlsoSection", +Cell[14748, 528, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[15019, 542, 739, 25, 56, "SeeAlso"] +Cell[15021, 542, 739, 25, 56, "SeeAlso"] }, Open ]], -Cell[15773, 570, 23, 0, 70, "FooterCell"] +Cell[15775, 570, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonVertex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonVertex.nb index efef8660f..ea17407c4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonVertex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GluonVertex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 39718, 1476] -NotebookOptionsPosition[ 34054, 1304] -NotebookOutlinePosition[ 37259, 1388] -CellTagsIndexPosition[ 37142, 1382] +NotebookDataLength[ 39666, 1475] +NotebookOptionsPosition[ 34056, 1304] +NotebookOutlinePosition[ 37205, 1387] +CellTagsIndexPosition[ 37088, 1381] WindowTitle->GluonVertex WindowFrame->Normal*) @@ -81,7 +81,7 @@ GluonVertex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$158533], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$159541], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GluonVertex", ".html"]], None}]}]}, @@ -217,7 +217,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->539519014], + CellID->1538104089], Cell["", "SectionHeaderSpacer"], @@ -291,7 +291,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->478867501], + CellID->1824121399], Cell[CellGroupData[{ @@ -301,7 +301,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2087086991], + CellID->1837822583], Cell[CellGroupData[{ @@ -1304,8 +1304,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"GluonVertex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1317,7 +1317,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 39.174541}", + "built" -> "{2020, 6, 20, 19, 7, 39.300137}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1342,8 +1342,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1353,36 +1352,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[8918, 278, 387, 15, 31, "PrimaryExamplesSection", + Cell[8919, 278, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->478867501]}, + CellID->1824121399]}, "GluonVertex"->{ - Cell[9551, 307, 356, 11, 27, "Input", + Cell[9553, 307, 356, 11, 27, "Input", CellTags->"GluonVertex", CellID->824487557], - Cell[9910, 320, 1203, 53, 40, "Output", + Cell[9912, 320, 1203, 53, 40, "Output", CellTags->"GluonVertex"], - Cell[14268, 510, 318, 11, 27, "Input", + Cell[14270, 510, 318, 11, 27, "Input", CellTags->"GluonVertex", CellID->1094321460], - Cell[14589, 523, 630, 26, 37, "Output", + Cell[14591, 523, 630, 26, 37, "Output", CellTags->"GluonVertex"], - Cell[18092, 673, 432, 13, 27, "Input", + Cell[18094, 673, 432, 13, 27, "Input", CellTags->"GluonVertex", CellID->410547695], - Cell[18527, 688, 961, 41, 41, "Output", + Cell[18529, 688, 961, 41, 41, "Output", CellTags->"GluonVertex"], - Cell[26066, 986, 384, 13, 27, "Input", + Cell[26068, 986, 384, 13, 27, "Input", CellTags->"GluonVertex", CellID->1809122983], - Cell[26453, 1001, 389, 16, 38, "Output", + Cell[26455, 1001, 389, 16, 38, "Output", CellTags->"GluonVertex"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 36326, 1354}, - {"GluonVertex", 36464, 1358} + {"PrimaryExamplesSection", 36271, 1353}, + {"GluonVertex", 36410, 1357} } *) (*NotebookFileOutline @@ -1394,90 +1393,90 @@ Cell[CellGroupData[{ Cell[4038, 114, 2723, 77, 245, "Usage", CellID->2010081510], Cell[CellGroupData[{ -Cell[6786, 195, 738, 24, 31, "NotesSection", +Cell[6786, 195, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->539519014], -Cell[7527, 221, 31, 0, 70, "SectionHeaderSpacer"], -Cell[7561, 223, 238, 8, 70, "Notes"], -Cell[7802, 233, 413, 14, 70, "Notes", + CellID->1538104089], +Cell[7528, 221, 31, 0, 14, "SectionHeaderSpacer"], +Cell[7562, 223, 238, 8, 32, "Notes"], +Cell[7803, 233, 413, 14, 49, "Notes", CellID->14058075], -Cell[8218, 249, 78, 1, 70, "Notes", +Cell[8219, 249, 78, 1, 32, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[8321, 254, 94, 2, 70, "Input"], -Cell[8418, 258, 439, 13, 37, "Output"] +Cell[8322, 254, 94, 2, 27, "Input"], +Cell[8419, 258, 439, 13, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[8918, 278, 387, 15, 31, "PrimaryExamplesSection", +Cell[8919, 278, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->478867501], + CellID->1824121399], Cell[CellGroupData[{ -Cell[9330, 297, 196, 6, 26, "ExampleSection", - CellID->2087086991], +Cell[9332, 297, 196, 6, 26, "ExampleSection", + CellID->1837822583], Cell[CellGroupData[{ -Cell[9551, 307, 356, 11, 27, "Input", +Cell[9553, 307, 356, 11, 27, "Input", CellTags->"GluonVertex", CellID->824487557], -Cell[9910, 320, 1203, 53, 40, "Output", +Cell[9912, 320, 1203, 53, 40, "Output", CellTags->"GluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[11150, 378, 84, 2, 27, "Input"], -Cell[11237, 382, 2864, 117, 43, "Output"] +Cell[11152, 378, 84, 2, 27, "Input"], +Cell[11239, 382, 2864, 117, 43, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[14138, 504, 105, 2, 9, "ExampleDelimiter"], +Cell[14140, 504, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[14268, 510, 318, 11, 27, "Input", +Cell[14270, 510, 318, 11, 27, "Input", CellTags->"GluonVertex", CellID->1094321460], -Cell[14589, 523, 630, 26, 37, "Output", +Cell[14591, 523, 630, 26, 37, "Output", CellTags->"GluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[15256, 554, 84, 2, 27, "Input"], -Cell[15343, 558, 2570, 103, 40, "Output"] +Cell[15258, 554, 84, 2, 27, "Input"], +Cell[15345, 558, 2570, 103, 40, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[17962, 667, 105, 2, 9, "ExampleDelimiter"], +Cell[17964, 667, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[18092, 673, 432, 13, 27, "Input", +Cell[18094, 673, 432, 13, 27, "Input", CellTags->"GluonVertex", CellID->410547695], -Cell[18527, 688, 961, 41, 41, "Output", +Cell[18529, 688, 961, 41, 41, "Output", CellTags->"GluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[19525, 734, 84, 2, 27, "Input"], -Cell[19612, 738, 6275, 236, 93, "Output"] +Cell[19527, 734, 84, 2, 27, "Input"], +Cell[19614, 738, 6275, 236, 93, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[25936, 980, 105, 2, 9, "ExampleDelimiter"], +Cell[25938, 980, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[26066, 986, 384, 13, 27, "Input", +Cell[26068, 986, 384, 13, 27, "Input", CellTags->"GluonVertex", CellID->1809122983], -Cell[26453, 1001, 389, 16, 38, "Output", +Cell[26455, 1001, 389, 16, 38, "Output", CellTags->"GluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[26879, 1022, 84, 2, 27, "Input"], -Cell[26966, 1026, 6275, 236, 93, "Output"] +Cell[26881, 1022, 84, 2, 27, "Input"], +Cell[26968, 1026, 6275, 236, 93, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[33280, 1267, 31, 0, 29, "SectionFooterSpacer"] +Cell[33282, 1267, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[33348, 1272, 270, 12, 31, "SeeAlsoSection", +Cell[33350, 1272, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[33621, 1286, 391, 13, 56, "SeeAlso"] +Cell[33623, 1286, 391, 13, 56, "SeeAlso"] }, Open ]], -Cell[34027, 1302, 23, 0, 41, "FooterCell"] +Cell[34029, 1302, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GrassmannParity.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GrassmannParity.nb index d85ea2b79..ee3079673 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/GrassmannParity.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/GrassmannParity.nb @@ -79,7 +79,7 @@ GrassmannParity.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$159874], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$160882], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/GrassmannParity", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 42.133310}", + "built" -> "{2020, 6, 20, 19, 7, 41.967073}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gstrong.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gstrong.nb index b425772be..d47360440 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gstrong.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Gstrong.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11065, 374] -NotebookOptionsPosition[ 7710, 271] -NotebookOutlinePosition[ 9987, 335] -CellTagsIndexPosition[ 9878, 329] +NotebookDataLength[ 11006, 373] +NotebookOptionsPosition[ 7709, 271] +NotebookOutlinePosition[ 9929, 334] +CellTagsIndexPosition[ 9820, 328] WindowTitle->Gstrong WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$161668], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$162676], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Gstrong", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1358631479], + CellID->243430653], Cell["", "SectionHeaderSpacer"], @@ -185,7 +185,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1228889562], + CellID->1530498778], Cell[CellGroupData[{ @@ -195,7 +195,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->321004010], + CellID->645350502], Cell[CellGroupData[{ @@ -284,7 +284,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 46.780473}", + "built" -> "{2020, 6, 20, 19, 7, 45.856491}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -304,8 +304,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -315,21 +314,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5593, 172, 388, 15, 31, "PrimaryExamplesSection", + Cell[5592, 172, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1228889562]}, + CellID->1530498778]}, "Gstrong"->{ - Cell[6226, 201, 99, 3, 27, "Input", + Cell[6225, 201, 99, 3, 27, "Input", CellTags->"Gstrong", CellID->1539112275], - Cell[6328, 206, 210, 7, 37, "Output", + Cell[6327, 206, 210, 7, 37, "Output", CellTags->"Gstrong"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9568, 316}, - {"Gstrong", 9703, 320} + {"PrimaryExamplesSection", 9510, 315}, + {"Gstrong", 9645, 319} } *) (*NotebookFileOutline @@ -341,41 +340,41 @@ Cell[CellGroupData[{ Cell[4089, 115, 462, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4576, 132, 739, 24, 31, "NotesSection", +Cell[4576, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1358631479], -Cell[5318, 158, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5352, 160, 192, 6, 70, "Notes", + CellID->243430653], +Cell[5317, 158, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5351, 160, 192, 6, 32, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5593, 172, 388, 15, 31, "PrimaryExamplesSection", +Cell[5592, 172, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1228889562], + CellID->1530498778], Cell[CellGroupData[{ -Cell[6006, 191, 195, 6, 26, "ExampleSection", - CellID->321004010], +Cell[6005, 191, 195, 6, 26, "ExampleSection", + CellID->645350502], Cell[CellGroupData[{ -Cell[6226, 201, 99, 3, 27, "Input", +Cell[6225, 201, 99, 3, 27, "Input", CellTags->"Gstrong", CellID->1539112275], -Cell[6328, 206, 210, 7, 37, "Output", +Cell[6327, 206, 210, 7, 37, "Output", CellTags->"Gstrong"] }, Open ]], Cell[CellGroupData[{ -Cell[6575, 218, 84, 2, 27, "Input"], -Cell[6662, 222, 191, 5, 51, "Output"] +Cell[6574, 218, 84, 2, 27, "Input"], +Cell[6661, 222, 191, 5, 51, "Output"] }, Open ]] }, Open ]], -Cell[6880, 231, 31, 0, 29, "SectionFooterSpacer"] +Cell[6879, 231, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6948, 236, 270, 12, 31, "SeeAlsoSection", +Cell[6947, 236, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7221, 250, 447, 16, 56, "SeeAlso"] +Cell[7220, 250, 447, 16, 56, "SeeAlso"] }, Open ]], -Cell[7683, 269, 23, 0, 41, "FooterCell"] +Cell[7682, 269, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Hill.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Hill.nb index 88815eb8d..012820b96 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Hill.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Hill.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14207, 495] +NotebookDataLength[ 14204, 495] NotebookOptionsPosition[ 10384, 372] -NotebookOutlinePosition[ 13020, 449] -CellTagsIndexPosition[ 12912, 443] +NotebookOutlinePosition[ 13017, 449] +CellTagsIndexPosition[ 12909, 443] WindowTitle->Hill WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$163001], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$164009], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Hill", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->175122901], + CellID->982163640], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1644841593], + CellID->1203041653], Cell[CellGroupData[{ @@ -372,8 +372,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"Hill", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -385,7 +385,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 49.786257}", + "built" -> "{2020, 6, 20, 19, 7, 48.755562}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -416,7 +416,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4335, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->175122901]}, + CellID->982163640]}, "Hill"->{ Cell[4968, 157, 142, 5, 27, "Input", CellTags->"Hill", @@ -442,8 +442,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12169, 415}, - {"Hill", 12300, 419} + {"PrimaryExamplesSection", 12166, 415}, + {"Hill", 12297, 419} } *) (*NotebookFileOutline @@ -456,10 +456,10 @@ Cell[3863, 110, 447, 14, 85, "Usage", Cell[CellGroupData[{ Cell[4335, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->175122901], + CellID->982163640], Cell[CellGroupData[{ Cell[4747, 147, 196, 6, 26, "ExampleSection", - CellID->1644841593], + CellID->1203041653], Cell[CellGroupData[{ Cell[4968, 157, 142, 5, 27, "Input", CellTags->"Hill", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypExplicit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypExplicit.nb index ac8b00254..f80b4a9e6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypExplicit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypExplicit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14036, 485] -NotebookOptionsPosition[ 9993, 361] -NotebookOutlinePosition[ 12796, 439] -CellTagsIndexPosition[ 12681, 433] +NotebookDataLength[ 14038, 485] +NotebookOptionsPosition[ 9994, 361] +NotebookOutlinePosition[ 12797, 439] +CellTagsIndexPosition[ 12682, 433] WindowTitle->HypExplicit WindowFrame->Normal*) @@ -79,7 +79,7 @@ HypExplicit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$164759], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$165767], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/HypExplicit", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1441194382], + CellID->1256325313], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->139053032], + CellID->1976662876], Cell[CellGroupData[{ @@ -374,7 +374,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 54.343384}", + "built" -> "{2020, 6, 20, 19, 7, 52.876920}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -406,34 +406,34 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4448, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1441194382]}, + CellID->1256325313]}, "HypExplicit"->{ - Cell[5081, 157, 182, 5, 27, "Input", + Cell[5082, 157, 182, 5, 27, "Input", CellTags->"HypExplicit", CellID->713088732], - Cell[5266, 164, 247, 8, 38, "Output", + Cell[5267, 164, 247, 8, 38, "Output", CellTags->"HypExplicit"], - Cell[5550, 177, 160, 5, 27, "Input", + Cell[5551, 177, 160, 5, 27, "Input", CellTags->"HypExplicit", CellID->335460950], - Cell[5713, 184, 666, 24, 60, "Output", + Cell[5714, 184, 666, 24, 60, "Output", CellTags->"HypExplicit"], - Cell[6416, 213, 281, 9, 27, "Input", + Cell[6417, 213, 281, 9, 27, "Input", CellTags->"HypExplicit", CellID->1980165795], - Cell[6700, 224, 1581, 58, 37, "Output", + Cell[6701, 224, 1581, 58, 37, "Output", CellTags->"HypExplicit"], - Cell[8318, 287, 161, 5, 27, "Input", + Cell[8319, 287, 161, 5, 27, "Input", CellTags->"HypExplicit", CellID->1855078663], - Cell[8482, 294, 890, 32, 60, "Output", + Cell[8483, 294, 890, 32, 60, "Output", CellTags->"HypExplicit"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11876, 405}, - {"HypExplicit", 12015, 409} + {"PrimaryExamplesSection", 11877, 405}, + {"HypExplicit", 12016, 409} } *) (*NotebookFileOutline @@ -446,47 +446,47 @@ Cell[3908, 110, 515, 14, 102, "Usage", Cell[CellGroupData[{ Cell[4448, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1441194382], + CellID->1256325313], Cell[CellGroupData[{ -Cell[4861, 147, 195, 6, 26, "ExampleSection", - CellID->139053032], +Cell[4861, 147, 196, 6, 26, "ExampleSection", + CellID->1976662876], Cell[CellGroupData[{ -Cell[5081, 157, 182, 5, 27, "Input", +Cell[5082, 157, 182, 5, 27, "Input", CellTags->"HypExplicit", CellID->713088732], -Cell[5266, 164, 247, 8, 38, "Output", +Cell[5267, 164, 247, 8, 38, "Output", CellTags->"HypExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[5550, 177, 160, 5, 27, "Input", +Cell[5551, 177, 160, 5, 27, "Input", CellTags->"HypExplicit", CellID->335460950], -Cell[5713, 184, 666, 24, 60, "Output", +Cell[5714, 184, 666, 24, 60, "Output", CellTags->"HypExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[6416, 213, 281, 9, 27, "Input", +Cell[6417, 213, 281, 9, 27, "Input", CellTags->"HypExplicit", CellID->1980165795], -Cell[6700, 224, 1581, 58, 37, "Output", +Cell[6701, 224, 1581, 58, 37, "Output", CellTags->"HypExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[8318, 287, 161, 5, 27, "Input", +Cell[8319, 287, 161, 5, 27, "Input", CellTags->"HypExplicit", CellID->1855078663], -Cell[8482, 294, 890, 32, 60, "Output", +Cell[8483, 294, 890, 32, 60, "Output", CellTags->"HypExplicit"] }, Open ]] }, Open ]], -Cell[9399, 330, 31, 0, 29, "SectionFooterSpacer"] +Cell[9400, 330, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9467, 335, 270, 12, 31, "SeeAlsoSection", +Cell[9468, 335, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9740, 349, 211, 7, 56, "SeeAlso"] +Cell[9741, 349, 211, 7, 56, "SeeAlso"] }, Open ]], -Cell[9966, 359, 23, 0, 70, "FooterCell"] +Cell[9967, 359, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypInt.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypInt.nb index bdd48e9c4..0dc7cce1b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypInt.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypInt.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9168, 305] -NotebookOptionsPosition[ 6019, 210] -NotebookOutlinePosition[ 8508, 279] -CellTagsIndexPosition[ 8400, 273] +NotebookDataLength[ 9166, 305] +NotebookOptionsPosition[ 6018, 210] +NotebookOutlinePosition[ 8507, 279] +CellTagsIndexPosition[ 8399, 273] WindowTitle->HypInt WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$165194], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$166202], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/HypInt", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1163149135], + CellID->1614945777], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1258941768], + CellID->249071723], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"HypInt", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -223,7 +223,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 55.428625}", + "built" -> "{2020, 6, 20, 19, 7, 53.865342}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -256,24 +256,24 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3679, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1163149135]}, + CellID->1614945777]}, "HypInt"->{ - Cell[4313, 137, 177, 5, 27, "Input", + Cell[4312, 137, 177, 5, 27, "Input", CellTags->"HypInt", CellID->204607872], - Cell[4493, 144, 242, 8, 38, "Output", + Cell[4492, 144, 242, 8, 38, "Output", CellTags->"HypInt"], - Cell[4772, 157, 147, 5, 27, "Input", + Cell[4771, 157, 147, 5, 27, "Input", CellTags->"HypInt", CellID->1185900959], - Cell[4922, 164, 1031, 39, 77, "Output", + Cell[4921, 164, 1031, 39, 77, "Output", CellTags->"HypInt"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7941, 255}, - {"HypInt", 8075, 259} + {"PrimaryExamplesSection", 7940, 255}, + {"HypInt", 8074, 259} } *) (*NotebookFileOutline @@ -286,27 +286,27 @@ Cell[3132, 89, 522, 15, 102, "Usage", Cell[CellGroupData[{ Cell[3679, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1163149135], + CellID->1614945777], Cell[CellGroupData[{ -Cell[4092, 127, 196, 6, 26, "ExampleSection", - CellID->1258941768], +Cell[4092, 127, 195, 6, 26, "ExampleSection", + CellID->249071723], Cell[CellGroupData[{ -Cell[4313, 137, 177, 5, 27, "Input", +Cell[4312, 137, 177, 5, 27, "Input", CellTags->"HypInt", CellID->204607872], -Cell[4493, 144, 242, 8, 38, "Output", +Cell[4492, 144, 242, 8, 38, "Output", CellTags->"HypInt"] }, Open ]], Cell[CellGroupData[{ -Cell[4772, 157, 147, 5, 27, "Input", +Cell[4771, 157, 147, 5, 27, "Input", CellTags->"HypInt", CellID->1185900959], -Cell[4922, 164, 1031, 39, 77, "Output", +Cell[4921, 164, 1031, 39, 77, "Output", CellTags->"HypInt"] }, Open ]] }, Open ]] }, Open ]], -Cell[5992, 208, 23, 0, 41, "FooterCell"] +Cell[5991, 208, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricAC.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricAC.nb index 84865099f..d32ca83bb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricAC.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricAC.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23393, 763] -NotebookOptionsPosition[ 17446, 588] -NotebookOutlinePosition[ 21248, 687] -CellTagsIndexPosition[ 21128, 681] +NotebookDataLength[ 23339, 762] +NotebookOptionsPosition[ 17447, 588] +NotebookOutlinePosition[ 21193, 686] +CellTagsIndexPosition[ 21073, 680] WindowTitle->HypergeometricAC WindowFrame->Normal*) @@ -85,7 +85,7 @@ HypergeometricAC.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$163442], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$164450], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/HypergeometricAC", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->560833998], + CellID->520602728], Cell["", "SectionHeaderSpacer"], @@ -181,7 +181,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"Collect2", "\[Rule]", "True"}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{111, 14}, + ImageSize->{111, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"HypergeometricAC", @@ -207,7 +207,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->242832536], + CellID->1636275926], Cell[CellGroupData[{ @@ -217,7 +217,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->404156245], + CellID->949216221], Cell["These are all transformation rules currently built in.", "Notes"], @@ -601,7 +601,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 50.996089}", + "built" -> "{2020, 6, 20, 19, 7, 49.704780}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -626,8 +626,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -640,48 +639,48 @@ CellTagsIndex->{ Cell[5968, 172, 151, 4, 70, "Input", CellTags->"HypergeometricAC", CellID->860770759], - Cell[6122, 178, 265, 9, 35, "Output", + Cell[6122, 178, 265, 9, 37, "Output", CellTags->"HypergeometricAC"], - Cell[7154, 225, 283, 8, 27, "Input", + Cell[7155, 225, 283, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->1062959179], - Cell[7440, 235, 1497, 46, 109, "Output", + Cell[7441, 235, 1497, 46, 109, "Output", CellTags->"HypergeometricAC"], - Cell[8974, 286, 283, 8, 27, "Input", + Cell[8975, 286, 283, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->1497393441], - Cell[9260, 296, 1462, 46, 149, "Output", + Cell[9261, 296, 1462, 46, 149, "Output", CellTags->"HypergeometricAC"], - Cell[10759, 347, 283, 8, 27, "Input", + Cell[10760, 347, 283, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->1365244505], - Cell[11045, 357, 1503, 47, 149, "Output", + Cell[11046, 357, 1503, 47, 149, "Output", CellTags->"HypergeometricAC"], - Cell[12585, 409, 282, 8, 27, "Input", + Cell[12586, 409, 282, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->411308116], - Cell[12870, 419, 1773, 54, 124, "Output", + Cell[12871, 419, 1773, 54, 124, "Output", CellTags->"HypergeometricAC"], - Cell[14680, 478, 282, 8, 27, "Input", + Cell[14681, 478, 282, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->436366778], - Cell[14965, 488, 501, 16, 54, "Output", + Cell[14966, 488, 501, 16, 54, "Output", CellTags->"HypergeometricAC"], - Cell[15503, 509, 283, 8, 27, "Input", + Cell[15504, 509, 283, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->417226545], - Cell[15789, 519, 502, 16, 54, "Output", + Cell[15790, 519, 502, 16, 54, "Output", CellTags->"HypergeometricAC"]}, "PrimaryExamplesSection"->{ - Cell[6448, 194, 387, 15, 31, "PrimaryExamplesSection", + Cell[6448, 194, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->242832536]} + CellID->1636275926]} } *) (*CellTagsIndex CellTagsIndex->{ - {"HypergeometricAC", 19747, 638}, - {"PrimaryExamplesSection", 20985, 674} + {"HypergeometricAC", 19691, 637}, + {"PrimaryExamplesSection", 20929, 673} } *) (*NotebookFileOutline @@ -695,76 +694,76 @@ Cell[4280, 118, 866, 20, 154, "Usage", Cell[CellGroupData[{ Cell[5171, 142, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->560833998], + CellID->520602728], Cell[5912, 168, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5968, 172, 151, 4, 70, "Input", CellTags->"HypergeometricAC", CellID->860770759], -Cell[6122, 178, 265, 9, 35, "Output", +Cell[6122, 178, 265, 9, 37, "Output", CellTags->"HypergeometricAC"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6448, 194, 387, 15, 31, "PrimaryExamplesSection", +Cell[6448, 194, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->242832536], + CellID->1636275926], Cell[CellGroupData[{ -Cell[6860, 213, 195, 6, 26, "ExampleSection", - CellID->404156245], -Cell[7058, 221, 71, 0, 32, "Notes"], +Cell[6861, 213, 195, 6, 26, "ExampleSection", + CellID->949216221], +Cell[7059, 221, 71, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[7154, 225, 283, 8, 27, "Input", +Cell[7155, 225, 283, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->1062959179], -Cell[7440, 235, 1497, 46, 109, "Output", +Cell[7441, 235, 1497, 46, 109, "Output", CellTags->"HypergeometricAC"] }, Open ]], Cell[CellGroupData[{ -Cell[8974, 286, 283, 8, 27, "Input", +Cell[8975, 286, 283, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->1497393441], -Cell[9260, 296, 1462, 46, 149, "Output", +Cell[9261, 296, 1462, 46, 149, "Output", CellTags->"HypergeometricAC"] }, Open ]], Cell[CellGroupData[{ -Cell[10759, 347, 283, 8, 27, "Input", +Cell[10760, 347, 283, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->1365244505], -Cell[11045, 357, 1503, 47, 149, "Output", +Cell[11046, 357, 1503, 47, 149, "Output", CellTags->"HypergeometricAC"] }, Open ]], Cell[CellGroupData[{ -Cell[12585, 409, 282, 8, 27, "Input", +Cell[12586, 409, 282, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->411308116], -Cell[12870, 419, 1773, 54, 124, "Output", +Cell[12871, 419, 1773, 54, 124, "Output", CellTags->"HypergeometricAC"] }, Open ]], Cell[CellGroupData[{ -Cell[14680, 478, 282, 8, 27, "Input", +Cell[14681, 478, 282, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->436366778], -Cell[14965, 488, 501, 16, 54, "Output", +Cell[14966, 488, 501, 16, 54, "Output", CellTags->"HypergeometricAC"] }, Open ]], Cell[CellGroupData[{ -Cell[15503, 509, 283, 8, 27, "Input", +Cell[15504, 509, 283, 8, 27, "Input", CellTags->"HypergeometricAC", CellID->417226545], -Cell[15789, 519, 502, 16, 54, "Output", +Cell[15790, 519, 502, 16, 54, "Output", CellTags->"HypergeometricAC"] }, Open ]] }, Open ]], -Cell[16318, 539, 31, 0, 29, "SectionFooterSpacer"] +Cell[16319, 539, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[16386, 544, 270, 12, 31, "SeeAlsoSection", +Cell[16387, 544, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[16659, 558, 745, 25, 56, "SeeAlso"] +Cell[16660, 558, 745, 25, 56, "SeeAlso"] }, Open ]], -Cell[17419, 586, 23, 0, 41, "FooterCell"] +Cell[17420, 586, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricIR.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricIR.nb index 54e9f76e6..e553b90d5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricIR.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricIR.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14788, 501] -NotebookOptionsPosition[ 10344, 368] -NotebookOutlinePosition[ 13275, 447] -CellTagsIndexPosition[ 13155, 441] +NotebookDataLength[ 14786, 501] +NotebookOptionsPosition[ 10343, 368] +NotebookOutlinePosition[ 13274, 447] +CellTagsIndexPosition[ 13154, 441] WindowTitle->HypergeometricIR WindowFrame->Normal*) @@ -83,7 +83,7 @@ HypergeometricIR.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$163886], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$164894], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/HypergeometricIR", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2114820751], + CellID->310660251], Cell["", "SectionHeaderSpacer"], @@ -200,7 +200,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2096248643], + CellID->2091263996], Cell[CellGroupData[{ @@ -210,7 +210,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2092094247], + CellID->1164930803], Cell[CellGroupData[{ @@ -381,7 +381,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 52.179907}", + "built" -> "{2020, 6, 20, 19, 7, 50.775375}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -412,36 +412,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "HypergeometricIR"->{ - Cell[5578, 165, 151, 4, 70, "Input", + Cell[5577, 165, 151, 4, 27, "Input", CellTags->"HypergeometricIR", CellID->384078315], - Cell[5732, 171, 270, 9, 37, "Output", + Cell[5731, 171, 270, 9, 37, "Output", CellTags->"HypergeometricIR"], - Cell[6697, 216, 260, 8, 27, "Input", + Cell[6696, 216, 260, 8, 27, "Input", CellTags->"HypergeometricIR", CellID->1374832181], - Cell[6960, 226, 726, 27, 63, "Output", + Cell[6959, 226, 726, 27, 63, "Output", CellTags->"HypergeometricIR"], - Cell[7723, 258, 412, 15, 27, "Input", + Cell[7722, 258, 412, 15, 27, "Input", CellTags->"HypergeometricIR", CellID->907804769], - Cell[8138, 275, 574, 18, 60, "Output", + Cell[8137, 275, 574, 18, 60, "Output", CellTags->"HypergeometricIR"], - Cell[8749, 298, 167, 5, 27, "Input", + Cell[8748, 298, 167, 5, 27, "Input", CellTags->"HypergeometricIR", CellID->1094444131], - Cell[8919, 305, 438, 16, 40, "Output", + Cell[8918, 305, 438, 16, 40, "Output", CellTags->"HypergeometricIR"]}, "PrimaryExamplesSection"->{ - Cell[6063, 187, 388, 15, 31, "PrimaryExamplesSection", + Cell[6062, 187, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2096248643]} + CellID->2091263996]} } *) (*CellTagsIndex CellTagsIndex->{ - {"HypergeometricIR", 12299, 413}, - {"PrimaryExamplesSection", 13011, 434} + {"HypergeometricIR", 12298, 413}, + {"PrimaryExamplesSection", 13010, 434} } *) (*NotebookFileOutline @@ -453,56 +453,56 @@ Cell[CellGroupData[{ Cell[4180, 116, 575, 15, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4780, 135, 739, 24, 31, "NotesSection", +Cell[4780, 135, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2114820751], -Cell[5522, 161, 31, 0, 70, "SectionHeaderSpacer"], + CellID->310660251], +Cell[5521, 161, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5578, 165, 151, 4, 70, "Input", +Cell[5577, 165, 151, 4, 27, "Input", CellTags->"HypergeometricIR", CellID->384078315], -Cell[5732, 171, 270, 9, 37, "Output", +Cell[5731, 171, 270, 9, 37, "Output", CellTags->"HypergeometricIR"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6063, 187, 388, 15, 31, "PrimaryExamplesSection", +Cell[6062, 187, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2096248643], + CellID->2091263996], Cell[CellGroupData[{ -Cell[6476, 206, 196, 6, 26, "ExampleSection", - CellID->2092094247], +Cell[6475, 206, 196, 6, 26, "ExampleSection", + CellID->1164930803], Cell[CellGroupData[{ -Cell[6697, 216, 260, 8, 27, "Input", +Cell[6696, 216, 260, 8, 27, "Input", CellTags->"HypergeometricIR", CellID->1374832181], -Cell[6960, 226, 726, 27, 63, "Output", +Cell[6959, 226, 726, 27, 63, "Output", CellTags->"HypergeometricIR"] }, Open ]], Cell[CellGroupData[{ -Cell[7723, 258, 412, 15, 27, "Input", +Cell[7722, 258, 412, 15, 27, "Input", CellTags->"HypergeometricIR", CellID->907804769], -Cell[8138, 275, 574, 18, 60, "Output", +Cell[8137, 275, 574, 18, 60, "Output", CellTags->"HypergeometricIR"] }, Open ]], Cell[CellGroupData[{ -Cell[8749, 298, 167, 5, 27, "Input", +Cell[8748, 298, 167, 5, 27, "Input", CellTags->"HypergeometricIR", CellID->1094444131], -Cell[8919, 305, 438, 16, 40, "Output", +Cell[8918, 305, 438, 16, 40, "Output", CellTags->"HypergeometricIR"] }, Open ]] }, Open ]], -Cell[9384, 325, 31, 0, 29, "SectionFooterSpacer"] +Cell[9383, 325, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9452, 330, 270, 12, 31, "SeeAlsoSection", +Cell[9451, 330, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9725, 344, 577, 19, 56, "SeeAlso"] +Cell[9724, 344, 577, 19, 56, "SeeAlso"] }, Open ]], -Cell[10317, 366, 23, 0, 41, "FooterCell"] +Cell[10316, 366, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricSE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricSE.nb index cbc2df455..7a090b9f7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricSE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/HypergeometricSE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13503, 456] -NotebookOptionsPosition[ 9386, 334] -NotebookOutlinePosition[ 12187, 409] -CellTagsIndexPosition[ 12067, 403] +NotebookDataLength[ 13439, 455] +NotebookOptionsPosition[ 9383, 334] +NotebookOutlinePosition[ 12126, 408] +CellTagsIndexPosition[ 12006, 402] WindowTitle->HypergeometricSE WindowFrame->Normal*) @@ -79,7 +79,7 @@ HypergeometricSE.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$164324], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$165332], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/HypergeometricSE", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1137431033], + CellID->849222086], Cell["", "SectionHeaderSpacer"], @@ -198,7 +198,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1593127181], + CellID->710717678], Cell[CellGroupData[{ @@ -208,7 +208,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1231340239], + CellID->989794880], Cell[CellGroupData[{ @@ -347,7 +347,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 53.261201}", + "built" -> "{2020, 6, 20, 19, 7, 51.890940}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -368,8 +368,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -379,31 +378,31 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "HypergeometricSE"->{ - Cell[5400, 163, 152, 4, 70, "Input", + Cell[5399, 163, 152, 4, 70, "Input", CellTags->"HypergeometricSE", CellID->1143734993], - Cell[5555, 169, 274, 9, 37, "Output", + Cell[5554, 169, 274, 9, 37, "Output", CellTags->"HypergeometricSE"], - Cell[6524, 214, 263, 8, 27, "Input", + Cell[6521, 214, 263, 8, 27, "Input", CellTags->"HypergeometricSE", CellID->388138933], - Cell[6790, 224, 671, 24, 60, "Output", + Cell[6787, 224, 671, 24, 60, "Output", CellTags->"HypergeometricSE"], - Cell[7498, 253, 369, 12, 27, "Input", + Cell[7495, 253, 369, 12, 27, "Input", CellTags->"HypergeometricSE", CellID->998113844], - Cell[7870, 267, 895, 32, 60, "Output", + Cell[7867, 267, 895, 32, 60, "Output", CellTags->"HypergeometricSE"]}, "PrimaryExamplesSection"->{ - Cell[5890, 185, 388, 15, 31, "PrimaryExamplesSection", + Cell[5889, 185, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1593127181]} + CellID->710717678]} } *) (*CellTagsIndex CellTagsIndex->{ - {"HypergeometricSE", 11382, 380}, - {"PrimaryExamplesSection", 11923, 396} + {"HypergeometricSE", 11322, 379}, + {"PrimaryExamplesSection", 11863, 395} } *) (*NotebookFileOutline @@ -415,49 +414,49 @@ Cell[CellGroupData[{ Cell[3960, 112, 617, 17, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4602, 133, 739, 24, 31, "NotesSection", +Cell[4602, 133, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1137431033], -Cell[5344, 159, 31, 0, 70, "SectionHeaderSpacer"], + CellID->849222086], +Cell[5343, 159, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5400, 163, 152, 4, 70, "Input", +Cell[5399, 163, 152, 4, 70, "Input", CellTags->"HypergeometricSE", CellID->1143734993], -Cell[5555, 169, 274, 9, 37, "Output", +Cell[5554, 169, 274, 9, 37, "Output", CellTags->"HypergeometricSE"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5890, 185, 388, 15, 31, "PrimaryExamplesSection", +Cell[5889, 185, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1593127181], + CellID->710717678], Cell[CellGroupData[{ -Cell[6303, 204, 196, 6, 26, "ExampleSection", - CellID->1231340239], +Cell[6301, 204, 195, 6, 26, "ExampleSection", + CellID->989794880], Cell[CellGroupData[{ -Cell[6524, 214, 263, 8, 27, "Input", +Cell[6521, 214, 263, 8, 27, "Input", CellTags->"HypergeometricSE", CellID->388138933], -Cell[6790, 224, 671, 24, 60, "Output", +Cell[6787, 224, 671, 24, 60, "Output", CellTags->"HypergeometricSE"] }, Open ]], Cell[CellGroupData[{ -Cell[7498, 253, 369, 12, 27, "Input", +Cell[7495, 253, 369, 12, 27, "Input", CellTags->"HypergeometricSE", CellID->998113844], -Cell[7870, 267, 895, 32, 60, "Output", +Cell[7867, 267, 895, 32, 60, "Output", CellTags->"HypergeometricSE"] }, Open ]] }, Open ]], -Cell[8792, 303, 31, 0, 29, "SectionFooterSpacer"] +Cell[8789, 303, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8860, 308, 270, 12, 31, "SeeAlsoSection", +Cell[8857, 308, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9133, 322, 211, 7, 56, "SeeAlso"] +Cell[9130, 322, 211, 7, 56, "SeeAlso"] }, Open ]], -Cell[9359, 332, 23, 0, 41, "FooterCell"] +Cell[9356, 332, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPD.nb index ee7bef8c0..52795fbd7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPD.nb @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$165629], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$166637], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IFPD", ".html"]], None}]}]}, @@ -167,7 +167,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 56.452443}", + "built" -> "{2020, 6, 20, 19, 7, 54.870293}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPDOff.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPDOff.nb index 23595bedf..85764517b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPDOff.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPDOff.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12031, 422] -NotebookOptionsPosition[ 8096, 298] -NotebookOutlinePosition[ 10825, 376] -CellTagsIndexPosition[ 10715, 370] +NotebookDataLength[ 12036, 422] +NotebookOptionsPosition[ 8098, 298] +NotebookOutlinePosition[ 10828, 376] +CellTagsIndexPosition[ 10718, 370] WindowTitle->IFPDOff WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$166072], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$167080], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IFPDOff", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->243646067], + CellID->1697019588], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->117025203], + CellID->1048855979], Cell[CellGroupData[{ @@ -311,7 +311,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 57.265956}", + "built" -> "{2020, 6, 20, 19, 7, 55.685244}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -341,36 +341,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4490, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4490, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->243646067]}, + CellID->1697019588]}, "IFPDOff"->{ - Cell[5122, 159, 181, 6, 27, "Input", + Cell[5124, 159, 181, 6, 27, "Input", CellTags->"IFPDOff", CellID->826601079], - Cell[5306, 167, 535, 22, 39, "Output", + Cell[5308, 167, 535, 22, 39, "Output", CellTags->"IFPDOff"], - Cell[5878, 194, 127, 4, 27, "Input", + Cell[5880, 194, 127, 4, 27, "Input", CellTags->"IFPDOff", CellID->1054150874], - Cell[6008, 200, 264, 8, 51, "Output", + Cell[6010, 200, 264, 8, 51, "Output", CellTags->"IFPDOff"], - Cell[6309, 213, 148, 5, 27, "Input", + Cell[6311, 213, 148, 5, 27, "Input", CellTags->"IFPDOff", CellID->480977190], - Cell[6460, 220, 363, 14, 39, "Output", + Cell[6462, 220, 363, 14, 39, "Output", CellTags->"IFPDOff"], - Cell[6860, 239, 126, 4, 27, "Input", + Cell[6862, 239, 126, 4, 27, "Input", CellTags->"IFPDOff", CellID->426656521], - Cell[6989, 245, 369, 12, 53, "Output", + Cell[6991, 245, 369, 12, 53, "Output", CellTags->"IFPDOff"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9949, 342}, - {"IFPDOff", 10083, 346} + {"PrimaryExamplesSection", 9951, 342}, + {"IFPDOff", 10086, 346} } *) (*NotebookFileOutline @@ -381,49 +381,49 @@ Cell[3654, 98, 284, 11, 45, "ObjectNameGrid"], Cell[3941, 111, 524, 15, 101, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4490, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4490, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->243646067], + CellID->1697019588], Cell[CellGroupData[{ -Cell[4902, 149, 195, 6, 26, "ExampleSection", - CellID->117025203], +Cell[4903, 149, 196, 6, 26, "ExampleSection", + CellID->1048855979], Cell[CellGroupData[{ -Cell[5122, 159, 181, 6, 27, "Input", +Cell[5124, 159, 181, 6, 27, "Input", CellTags->"IFPDOff", CellID->826601079], -Cell[5306, 167, 535, 22, 39, "Output", +Cell[5308, 167, 535, 22, 39, "Output", CellTags->"IFPDOff"] }, Open ]], Cell[CellGroupData[{ -Cell[5878, 194, 127, 4, 27, "Input", +Cell[5880, 194, 127, 4, 27, "Input", CellTags->"IFPDOff", CellID->1054150874], -Cell[6008, 200, 264, 8, 51, "Output", +Cell[6010, 200, 264, 8, 51, "Output", CellTags->"IFPDOff"] }, Open ]], Cell[CellGroupData[{ -Cell[6309, 213, 148, 5, 27, "Input", +Cell[6311, 213, 148, 5, 27, "Input", CellTags->"IFPDOff", CellID->480977190], -Cell[6460, 220, 363, 14, 39, "Output", +Cell[6462, 220, 363, 14, 39, "Output", CellTags->"IFPDOff"] }, Open ]], Cell[CellGroupData[{ -Cell[6860, 239, 126, 4, 27, "Input", +Cell[6862, 239, 126, 4, 27, "Input", CellTags->"IFPDOff", CellID->426656521], -Cell[6989, 245, 369, 12, 53, "Output", +Cell[6991, 245, 369, 12, 53, "Output", CellTags->"IFPDOff"] }, Open ]] }, Open ]], -Cell[7385, 261, 31, 0, 29, "SectionFooterSpacer"] +Cell[7387, 261, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7453, 266, 270, 12, 31, "SeeAlsoSection", +Cell[7455, 266, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7726, 280, 328, 13, 56, "SeeAlso"] +Cell[7728, 280, 328, 13, 56, "SeeAlso"] }, Open ]], -Cell[8069, 296, 23, 0, 70, "FooterCell"] +Cell[8071, 296, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPDOn.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPDOn.nb index 3159cc0b4..fa3498db5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPDOn.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IFPDOn.nb @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$166510], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$167518], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IFPDOn", ".html"]], None}]}]}, @@ -177,7 +177,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 58.342273}", + "built" -> "{2020, 6, 20, 19, 7, 56.682475}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IncludePair.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IncludePair.nb index d26e6bd14..4d4d5a19b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IncludePair.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IncludePair.nb @@ -83,7 +83,7 @@ IncludePair.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$166955], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$167963], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IncludePair", ".html"]], None}]}]}, @@ -181,7 +181,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 58, 59.292807}", + "built" -> "{2020, 6, 20, 19, 7, 57.488274}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IndexPosition.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IndexPosition.nb index df97be5ca..405b2ace8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IndexPosition.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IndexPosition.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6792, 206] +NotebookDataLength[ 6793, 206] NotebookOptionsPosition[ 4803, 151] -NotebookOutlinePosition[ 6585, 198] -CellTagsIndexPosition[ 6542, 195] +NotebookOutlinePosition[ 6586, 198] +CellTagsIndexPosition[ 6543, 195] WindowTitle->IndexPosition WindowFrame->Normal*) @@ -79,7 +79,7 @@ IndexPosition.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$167399], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$168407], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IndexPosition", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 0.291510}", + "built" -> "{2020, 6, 20, 19, 7, 58.533598}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/InitialFunction.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/InitialFunction.nb index 6542500ce..004b16c56 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/InitialFunction.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/InitialFunction.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6960, 209] +NotebookDataLength[ 6961, 209] NotebookOptionsPosition[ 4874, 152] -NotebookOutlinePosition[ 6753, 201] -CellTagsIndexPosition[ 6710, 198] +NotebookOutlinePosition[ 6754, 201] +CellTagsIndexPosition[ 6711, 198] WindowTitle->InitialFunction WindowFrame->Normal*) @@ -79,7 +79,7 @@ InitialFunction.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$167841], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$168849], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/InitialFunction", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 1.298241}", + "built" -> "{2020, 6, 20, 19, 7, 59.541390}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/InitialSubstitutions.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/InitialSubstitutions.nb index 180cd796a..fac7c25d0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/InitialSubstitutions.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/InitialSubstitutions.nb @@ -82,7 +82,7 @@ InitialSubstitutions.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$168285], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$169293], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/InitialSubstitutions", ".html"]], None}]}]}, @@ -180,7 +180,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 2.305622}", + "built" -> "{2020, 6, 20, 19, 8, 0.538110}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/InsideDiracTrace.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/InsideDiracTrace.nb index cc3510263..452dbb581 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/InsideDiracTrace.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/InsideDiracTrace.nb @@ -79,7 +79,7 @@ InsideDiracTrace.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$168731], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$169739], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/InsideDiracTrace", ".html"]], None}]}]}, @@ -209,7 +209,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 3.316695}", + "built" -> "{2020, 6, 20, 19, 8, 1.343519}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntegralTable.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntegralTable.nb index 1e970e633..025adff08 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntegralTable.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntegralTable.nb @@ -84,7 +84,7 @@ IntegralTable.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$169178], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$170186], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IntegralTable", ".html"]], None}]}]}, @@ -183,7 +183,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 4.305410}", + "built" -> "{2020, 6, 20, 19, 8, 2.357683}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate2.nb index 8c7bd1e12..c12a514fa 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 82809, 2951] -NotebookOptionsPosition[ 68414, 2482] -NotebookOutlinePosition[ 76050, 2701] -CellTagsIndexPosition[ 75934, 2695] +NotebookDataLength[ 82804, 2951] +NotebookOptionsPosition[ 68412, 2482] +NotebookOutlinePosition[ 76047, 2701] +CellTagsIndexPosition[ 75931, 2695] WindowTitle->Integrate2 WindowFrame->Normal*) @@ -88,7 +88,7 @@ Integrate2.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$169633], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$170641], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Integrate2", ".html"]], None}]}]}, @@ -171,7 +171,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1661719191], + CellID->106623255], Cell["", "SectionHeaderSpacer"], @@ -203,7 +203,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1066608491], + CellID->572860895], Cell[CellGroupData[{ @@ -213,7 +213,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->656544217], + CellID->439476420], Cell[CellGroupData[{ @@ -2064,7 +2064,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"0.047429`", ",", "0"}], "}"}], TraditionalForm]], "Output", - ImageSize->{88, 14}, + ImageSize->{88, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Integrate2", @@ -2096,7 +2096,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"0.028382`", ",", "0"}], "}"}], TraditionalForm]], "Output", - ImageSize->{88, 14}, + ImageSize->{88, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Integrate2", @@ -2482,8 +2482,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Integrate2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -2495,7 +2495,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 5.463432}", + "built" -> "{2020, 6, 20, 19, 8, 3.276881}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -2533,169 +2533,169 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6745, 190, 388, 15, 31, "PrimaryExamplesSection", + Cell[6744, 190, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1066608491]}, + CellID->572860895]}, "Integrate2"->{ - Cell[7378, 219, 443, 16, 27, "Input", + Cell[7376, 219, 443, 16, 27, "Input", CellTags->"Integrate2", CellID->524907050], - Cell[7824, 237, 442, 16, 55, "Output", + Cell[7822, 237, 442, 16, 55, "Output", CellTags->"Integrate2"], - Cell[8472, 265, 299, 10, 27, "Input", + Cell[8470, 265, 299, 10, 27, "Input", CellTags->"Integrate2", CellID->546710902], - Cell[8774, 277, 316, 10, 37, "Output", + Cell[8772, 277, 316, 10, 37, "Output", CellTags->"Integrate2"], - Cell[9127, 292, 293, 10, 27, "Input", + Cell[9125, 292, 293, 10, 27, "Input", CellTags->"Integrate2", CellID->89878903], - Cell[9423, 304, 431, 15, 55, "Output", + Cell[9421, 304, 431, 15, 55, "Output", CellTags->"Integrate2"], - Cell[9891, 324, 355, 12, 27, "Input", + Cell[9889, 324, 355, 12, 27, "Input", CellTags->"Integrate2", CellID->1742557754], - Cell[10249, 338, 661, 23, 59, "Output", + Cell[10247, 338, 661, 23, 59, "Output", CellTags->"Integrate2"], - Cell[10947, 366, 336, 11, 27, "Input", + Cell[10945, 366, 336, 11, 27, "Input", CellTags->"Integrate2", CellID->1356840886], - Cell[11286, 379, 219, 7, 37, "Output", + Cell[11284, 379, 219, 7, 37, "Output", CellTags->"Integrate2"], - Cell[13086, 444, 289, 10, 27, "Input", + Cell[13084, 444, 289, 10, 27, "Input", CellTags->"Integrate2", CellID->1084770727], - Cell[13378, 456, 191, 6, 35, "Output", + Cell[13376, 456, 191, 6, 35, "Output", CellTags->"Integrate2"], - Cell[14234, 492, 336, 11, 27, "Input", + Cell[14232, 492, 336, 11, 27, "Input", CellTags->"Integrate2", CellID->1725124689], - Cell[14573, 505, 191, 6, 35, "Output", + Cell[14571, 505, 191, 6, 35, "Output", CellTags->"Integrate2"], - Cell[14801, 516, 405, 14, 27, "Input", + Cell[14799, 516, 405, 14, 27, "Input", CellTags->"Integrate2", CellID->1940746510], - Cell[15209, 532, 249, 8, 37, "Output", + Cell[15207, 532, 249, 8, 37, "Output", CellTags->"Integrate2"], - Cell[15495, 545, 435, 15, 27, "Input", + Cell[15493, 545, 435, 15, 27, "Input", CellTags->"Integrate2", CellID->582396558], - Cell[15933, 562, 264, 10, 55, "Output", + Cell[15931, 562, 264, 10, 55, "Output", CellTags->"Integrate2"], - Cell[16234, 577, 347, 12, 27, "Input", + Cell[16232, 577, 347, 12, 27, "Input", CellTags->"Integrate2", CellID->845490247], - Cell[16584, 591, 246, 9, 37, "Output", + Cell[16582, 591, 246, 9, 37, "Output", CellTags->"Integrate2"], - Cell[16867, 605, 374, 13, 27, "Input", + Cell[16865, 605, 374, 13, 27, "Input", CellTags->"Integrate2", CellID->1121674397], - Cell[17244, 620, 396, 14, 56, "Output", + Cell[17242, 620, 396, 14, 56, "Output", CellTags->"Integrate2"], - Cell[17677, 639, 333, 11, 27, "Input", + Cell[17675, 639, 333, 11, 27, "Input", CellTags->"Integrate2", CellID->1584122311], - Cell[18013, 652, 275, 9, 37, "Output", + Cell[18011, 652, 275, 9, 37, "Output", CellTags->"Integrate2"], - Cell[18325, 666, 301, 10, 27, "Input", + Cell[18323, 666, 301, 10, 27, "Input", CellTags->"Integrate2", CellID->1907301251], - Cell[18629, 678, 383, 14, 55, "Output", + Cell[18627, 678, 383, 14, 55, "Output", CellTags->"Integrate2"], - Cell[19049, 697, 465, 16, 27, "Input", + Cell[19047, 697, 465, 16, 27, "Input", CellTags->"Integrate2", CellID->1237143526], - Cell[19517, 715, 556, 19, 60, "Output", + Cell[19515, 715, 556, 19, 60, "Output", CellTags->"Integrate2"], - Cell[20110, 739, 741, 25, 45, "Input", + Cell[20108, 739, 741, 25, 45, "Input", CellTags->"Integrate2", CellID->2080558124], - Cell[20854, 766, 5608, 188, 372, "Output", + Cell[20852, 766, 5608, 188, 372, "Output", CellTags->"Integrate2"], - Cell[26499, 959, 490, 17, 27, "Input", + Cell[26497, 959, 490, 17, 27, "Input", CellTags->"Integrate2", CellID->204763000], - Cell[26992, 978, 906, 32, 56, "Output", + Cell[26990, 978, 906, 32, 56, "Output", CellTags->"Integrate2"], - Cell[27935, 1015, 587, 20, 70, "Input", + Cell[27933, 1015, 587, 20, 70, "Input", CellTags->"Integrate2", CellID->1234589200], - Cell[28525, 1037, 5325, 180, 206, "Output", + Cell[28523, 1037, 5325, 180, 206, "Output", CellTags->"Integrate2"], - Cell[33887, 1222, 162, 5, 27, "Input", + Cell[33885, 1222, 162, 5, 27, "Input", CellTags->"Integrate2", CellID->1839623139], - Cell[34052, 1229, 1777, 56, 139, "Output", + Cell[34050, 1229, 1777, 56, 139, "Output", CellTags->"Integrate2"], - Cell[35866, 1290, 124, 4, 27, "Input", + Cell[35864, 1290, 124, 4, 27, "Input", CellTags->"Integrate2", CellID->1653791497], - Cell[35993, 1296, 212, 6, 35, "Output", + Cell[35991, 1296, 212, 6, 35, "Output", CellTags->"Integrate2"], - Cell[36242, 1307, 704, 24, 78, "Input", + Cell[36240, 1307, 704, 24, 78, "Input", CellTags->"Integrate2", CellID->1526670238], - Cell[36949, 1333, 3820, 144, 194, "Output", + Cell[36947, 1333, 3820, 144, 194, "Output", CellTags->"Integrate2"], - Cell[40806, 1482, 169, 5, 27, "Input", + Cell[40804, 1482, 169, 5, 27, "Input", CellTags->"Integrate2", CellID->20428829], - Cell[40978, 1489, 195, 6, 35, "Output", + Cell[40976, 1489, 195, 6, 35, "Output", CellTags->"Integrate2"], - Cell[41210, 1500, 387, 13, 27, "Input", + Cell[41208, 1500, 387, 13, 27, "Input", CellTags->"Integrate2", CellID->512808203], - Cell[41600, 1515, 192, 6, 35, "Output", + Cell[41598, 1515, 192, 6, 35, "Output", CellTags->"Integrate2"], - Cell[41945, 1531, 302, 9, 29, "Input", + Cell[41943, 1531, 302, 9, 29, "Input", CellTags->"Integrate2", CellID->18981591], - Cell[42250, 1542, 5465, 177, 394, "Output", + Cell[42248, 1542, 5465, 177, 394, "Output", CellTags->"Integrate2"], - Cell[57844, 2051, 249, 9, 27, "Input", + Cell[57842, 2051, 249, 9, 27, "Input", CellTags->"Integrate2", CellID->182134904], - Cell[58096, 2062, 247, 8, 35, "Output", + Cell[58094, 2062, 247, 8, 37, "Output", CellTags->"Integrate2"], - Cell[58524, 2080, 345, 12, 27, "Input", + Cell[58522, 2080, 345, 12, 27, "Input", CellTags->"Integrate2", CellID->237838384], - Cell[58872, 2094, 247, 8, 35, "Output", + Cell[58870, 2094, 247, 8, 37, "Output", CellTags->"Integrate2"], - Cell[59134, 2105, 146, 5, 27, "Input", + Cell[59132, 2105, 146, 5, 27, "Input", CellTags->"Integrate2", CellID->1890146765], - Cell[59305, 2114, 336, 11, 27, "Input", + Cell[59303, 2114, 336, 11, 27, "Input", CellTags->"Integrate2", CellID->593727658], - Cell[59644, 2127, 220, 7, 37, "Output", + Cell[59642, 2127, 220, 7, 37, "Output", CellTags->"Integrate2"], - Cell[59901, 2139, 345, 12, 33, "Input", + Cell[59899, 2139, 345, 12, 33, "Input", CellTags->"Integrate2", CellID->1759046432], - Cell[60249, 2153, 327, 11, 56, "Output", + Cell[60247, 2153, 327, 11, 56, "Output", CellTags->"Integrate2"], - Cell[60613, 2169, 119, 4, 27, "Input", + Cell[60611, 2169, 119, 4, 27, "Input", CellTags->"Integrate2", CellID->1795528063], - Cell[60735, 2175, 211, 6, 35, "Output", + Cell[60733, 2175, 211, 6, 35, "Output", CellTags->"Integrate2"], - Cell[60983, 2186, 344, 12, 33, "Input", + Cell[60981, 2186, 344, 12, 33, "Input", CellTags->"Integrate2", CellID->190638847], - Cell[61330, 2200, 211, 6, 35, "Output", + Cell[61328, 2200, 211, 6, 35, "Output", CellTags->"Integrate2"], - Cell[61578, 2211, 401, 14, 33, "Input", + Cell[61576, 2211, 401, 14, 33, "Input", CellTags->"Integrate2", CellID->1701338238], - Cell[61982, 2227, 5031, 190, 332, "Output", + Cell[61980, 2227, 5031, 190, 332, "Output", CellTags->"Integrate2"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 70818, 2534}, - {"Integrate2", 70956, 2538} + {"PrimaryExamplesSection", 70816, 2534}, + {"Integrate2", 70953, 2538} } *) (*NotebookFileOutline @@ -2707,252 +2707,252 @@ Cell[CellGroupData[{ Cell[4376, 121, 1123, 24, 173, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5524, 149, 739, 24, 31, "NotesSection", +Cell[5524, 149, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1661719191], -Cell[6266, 175, 31, 0, 70, "SectionHeaderSpacer"], -Cell[6300, 177, 396, 7, 70, "Notes", + CellID->106623255], +Cell[6265, 175, 31, 0, 14, "SectionHeaderSpacer"], +Cell[6299, 177, 396, 7, 83, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6745, 190, 388, 15, 31, "PrimaryExamplesSection", +Cell[6744, 190, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1066608491], + CellID->572860895], Cell[CellGroupData[{ -Cell[7158, 209, 195, 6, 26, "ExampleSection", - CellID->656544217], +Cell[7156, 209, 195, 6, 26, "ExampleSection", + CellID->439476420], Cell[CellGroupData[{ -Cell[7378, 219, 443, 16, 27, "Input", +Cell[7376, 219, 443, 16, 27, "Input", CellTags->"Integrate2", CellID->524907050], -Cell[7824, 237, 442, 16, 55, "Output", +Cell[7822, 237, 442, 16, 55, "Output", CellTags->"Integrate2"] }, Open ]], -Cell[8281, 256, 166, 5, 32, "Notes"], +Cell[8279, 256, 166, 5, 32, "Notes"], Cell[CellGroupData[{ -Cell[8472, 265, 299, 10, 27, "Input", +Cell[8470, 265, 299, 10, 27, "Input", CellTags->"Integrate2", CellID->546710902], -Cell[8774, 277, 316, 10, 37, "Output", +Cell[8772, 277, 316, 10, 37, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[9127, 292, 293, 10, 27, "Input", +Cell[9125, 292, 293, 10, 27, "Input", CellTags->"Integrate2", CellID->89878903], -Cell[9423, 304, 431, 15, 55, "Output", +Cell[9421, 304, 431, 15, 55, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[9891, 324, 355, 12, 27, "Input", +Cell[9889, 324, 355, 12, 27, "Input", CellTags->"Integrate2", CellID->1742557754], -Cell[10249, 338, 661, 23, 59, "Output", +Cell[10247, 338, 661, 23, 59, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[10947, 366, 336, 11, 27, "Input", +Cell[10945, 366, 336, 11, 27, "Input", CellTags->"Integrate2", CellID->1356840886], -Cell[11286, 379, 219, 7, 37, "Output", +Cell[11284, 379, 219, 7, 37, "Output", CellTags->"Integrate2"] }, Open ]], -Cell[11520, 389, 1541, 51, 86, "Notes"], +Cell[11518, 389, 1541, 51, 86, "Notes"], Cell[CellGroupData[{ -Cell[13086, 444, 289, 10, 27, "Input", +Cell[13084, 444, 289, 10, 27, "Input", CellTags->"Integrate2", CellID->1084770727], -Cell[13378, 456, 191, 6, 35, "Output", +Cell[13376, 456, 191, 6, 35, "Output", CellTags->"Integrate2"] }, Open ]], -Cell[13584, 465, 625, 23, 67, "Notes"], +Cell[13582, 465, 625, 23, 67, "Notes"], Cell[CellGroupData[{ -Cell[14234, 492, 336, 11, 27, "Input", +Cell[14232, 492, 336, 11, 27, "Input", CellTags->"Integrate2", CellID->1725124689], -Cell[14573, 505, 191, 6, 35, "Output", +Cell[14571, 505, 191, 6, 35, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[14801, 516, 405, 14, 27, "Input", +Cell[14799, 516, 405, 14, 27, "Input", CellTags->"Integrate2", CellID->1940746510], -Cell[15209, 532, 249, 8, 37, "Output", +Cell[15207, 532, 249, 8, 37, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[15495, 545, 435, 15, 27, "Input", +Cell[15493, 545, 435, 15, 27, "Input", CellTags->"Integrate2", CellID->582396558], -Cell[15933, 562, 264, 10, 55, "Output", +Cell[15931, 562, 264, 10, 55, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[16234, 577, 347, 12, 27, "Input", +Cell[16232, 577, 347, 12, 27, "Input", CellTags->"Integrate2", CellID->845490247], -Cell[16584, 591, 246, 9, 37, "Output", +Cell[16582, 591, 246, 9, 37, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[16867, 605, 374, 13, 27, "Input", +Cell[16865, 605, 374, 13, 27, "Input", CellTags->"Integrate2", CellID->1121674397], -Cell[17244, 620, 396, 14, 56, "Output", +Cell[17242, 620, 396, 14, 56, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[17677, 639, 333, 11, 27, "Input", +Cell[17675, 639, 333, 11, 27, "Input", CellTags->"Integrate2", CellID->1584122311], -Cell[18013, 652, 275, 9, 37, "Output", +Cell[18011, 652, 275, 9, 37, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[18325, 666, 301, 10, 27, "Input", +Cell[18323, 666, 301, 10, 27, "Input", CellTags->"Integrate2", CellID->1907301251], -Cell[18629, 678, 383, 14, 55, "Output", +Cell[18627, 678, 383, 14, 55, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[19049, 697, 465, 16, 27, "Input", +Cell[19047, 697, 465, 16, 27, "Input", CellTags->"Integrate2", CellID->1237143526], -Cell[19517, 715, 556, 19, 60, "Output", +Cell[19515, 715, 556, 19, 60, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[20110, 739, 741, 25, 45, "Input", +Cell[20108, 739, 741, 25, 45, "Input", CellTags->"Integrate2", CellID->2080558124], -Cell[20854, 766, 5608, 188, 372, "Output", +Cell[20852, 766, 5608, 188, 372, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[26499, 959, 490, 17, 27, "Input", +Cell[26497, 959, 490, 17, 27, "Input", CellTags->"Integrate2", CellID->204763000], -Cell[26992, 978, 906, 32, 56, "Output", +Cell[26990, 978, 906, 32, 56, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[27935, 1015, 587, 20, 70, "Input", +Cell[27933, 1015, 587, 20, 70, "Input", CellTags->"Integrate2", CellID->1234589200], -Cell[28525, 1037, 5325, 180, 206, "Output", +Cell[28523, 1037, 5325, 180, 206, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[33887, 1222, 162, 5, 27, "Input", +Cell[33885, 1222, 162, 5, 27, "Input", CellTags->"Integrate2", CellID->1839623139], -Cell[34052, 1229, 1777, 56, 139, "Output", +Cell[34050, 1229, 1777, 56, 139, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[35866, 1290, 124, 4, 27, "Input", +Cell[35864, 1290, 124, 4, 27, "Input", CellTags->"Integrate2", CellID->1653791497], -Cell[35993, 1296, 212, 6, 35, "Output", +Cell[35991, 1296, 212, 6, 35, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[36242, 1307, 704, 24, 78, "Input", +Cell[36240, 1307, 704, 24, 78, "Input", CellTags->"Integrate2", CellID->1526670238], -Cell[36949, 1333, 3820, 144, 194, "Output", +Cell[36947, 1333, 3820, 144, 194, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[40806, 1482, 169, 5, 27, "Input", +Cell[40804, 1482, 169, 5, 27, "Input", CellTags->"Integrate2", CellID->20428829], -Cell[40978, 1489, 195, 6, 35, "Output", +Cell[40976, 1489, 195, 6, 35, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[41210, 1500, 387, 13, 27, "Input", +Cell[41208, 1500, 387, 13, 27, "Input", CellTags->"Integrate2", CellID->512808203], -Cell[41600, 1515, 192, 6, 35, "Output", +Cell[41598, 1515, 192, 6, 35, "Output", CellTags->"Integrate2"] }, Open ]], -Cell[41807, 1524, 113, 3, 32, "Notes"], +Cell[41805, 1524, 113, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[41945, 1531, 302, 9, 29, "Input", +Cell[41943, 1531, 302, 9, 29, "Input", CellTags->"Integrate2", CellID->18981591], -Cell[42250, 1542, 5465, 177, 394, "Output", +Cell[42248, 1542, 5465, 177, 394, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[47752, 1724, 79, 2, 27, "Input"], -Cell[47834, 1728, 9973, 318, 605, "Output"] +Cell[47750, 1724, 79, 2, 27, "Input"], +Cell[47832, 1728, 9973, 318, 605, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[57844, 2051, 249, 9, 27, "Input", +Cell[57842, 2051, 249, 9, 27, "Input", CellTags->"Integrate2", CellID->182134904], -Cell[58096, 2062, 247, 8, 35, "Output", +Cell[58094, 2062, 247, 8, 37, "Output", CellTags->"Integrate2"] }, Open ]], -Cell[58358, 2073, 141, 3, 49, "Notes"], +Cell[58356, 2073, 141, 3, 49, "Notes"], Cell[CellGroupData[{ -Cell[58524, 2080, 345, 12, 27, "Input", +Cell[58522, 2080, 345, 12, 27, "Input", CellTags->"Integrate2", CellID->237838384], -Cell[58872, 2094, 247, 8, 35, "Output", +Cell[58870, 2094, 247, 8, 37, "Output", CellTags->"Integrate2"] }, Open ]], -Cell[59134, 2105, 146, 5, 27, "Input", +Cell[59132, 2105, 146, 5, 27, "Input", CellTags->"Integrate2", CellID->1890146765], Cell[CellGroupData[{ -Cell[59305, 2114, 336, 11, 27, "Input", +Cell[59303, 2114, 336, 11, 27, "Input", CellTags->"Integrate2", CellID->593727658], -Cell[59644, 2127, 220, 7, 37, "Output", +Cell[59642, 2127, 220, 7, 37, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[59901, 2139, 345, 12, 33, "Input", +Cell[59899, 2139, 345, 12, 33, "Input", CellTags->"Integrate2", CellID->1759046432], -Cell[60249, 2153, 327, 11, 56, "Output", +Cell[60247, 2153, 327, 11, 56, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[60613, 2169, 119, 4, 27, "Input", +Cell[60611, 2169, 119, 4, 27, "Input", CellTags->"Integrate2", CellID->1795528063], -Cell[60735, 2175, 211, 6, 35, "Output", +Cell[60733, 2175, 211, 6, 35, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[60983, 2186, 344, 12, 33, "Input", +Cell[60981, 2186, 344, 12, 33, "Input", CellTags->"Integrate2", CellID->190638847], -Cell[61330, 2200, 211, 6, 35, "Output", +Cell[61328, 2200, 211, 6, 35, "Output", CellTags->"Integrate2"] }, Open ]], Cell[CellGroupData[{ -Cell[61578, 2211, 401, 14, 33, "Input", +Cell[61576, 2211, 401, 14, 33, "Input", CellTags->"Integrate2", CellID->1701338238], -Cell[61982, 2227, 5031, 190, 332, "Output", +Cell[61980, 2227, 5031, 190, 332, "Output", CellTags->"Integrate2"] }, Open ]] }, Open ]], -Cell[67040, 2421, 31, 0, 29, "SectionFooterSpacer"] +Cell[67038, 2421, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[67108, 2426, 270, 12, 31, "SeeAlsoSection", +Cell[67106, 2426, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[67381, 2440, 991, 37, 56, "SeeAlso"] +Cell[67379, 2440, 991, 37, 56, "SeeAlso"] }, Open ]], -Cell[68387, 2480, 23, 0, 41, "FooterCell"] +Cell[68385, 2480, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate3.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate3.nb index 4af11e70b..7d3ebb710 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate3.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate3.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16809, 588] -NotebookOptionsPosition[ 11957, 438] -NotebookOutlinePosition[ 15201, 528] -CellTagsIndexPosition[ 15087, 522] +NotebookDataLength[ 16807, 588] +NotebookOptionsPosition[ 11956, 438] +NotebookOutlinePosition[ 15200, 528] +CellTagsIndexPosition[ 15086, 522] WindowTitle->Integrate3 WindowFrame->Normal*) @@ -79,7 +79,7 @@ Integrate3.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$170103], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$171111], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Integrate3", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2140586692], + CellID->1930744654], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1006211834], + CellID->263199831], Cell[CellGroupData[{ @@ -451,7 +451,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 6.978679}", + "built" -> "{2020, 6, 20, 19, 8, 4.582352}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -485,44 +485,44 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4499, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2140586692]}, + CellID->1930744654]}, "Integrate3"->{ - Cell[5133, 157, 298, 10, 31, "Input", + Cell[5132, 157, 298, 10, 31, "Input", CellTags->"Integrate3", CellID->425224867], - Cell[5434, 169, 310, 11, 61, "Output", + Cell[5433, 169, 310, 11, 61, "Output", CellTags->"Integrate3"], - Cell[5781, 185, 419, 14, 56, "Input", + Cell[5780, 185, 419, 14, 56, "Input", CellTags->"Integrate3", CellID->1726046539], - Cell[6203, 201, 599, 23, 38, "Output", + Cell[6202, 201, 599, 23, 38, "Output", CellTags->"Integrate3"], - Cell[6839, 229, 695, 24, 56, "Input", + Cell[6838, 229, 695, 24, 56, "Input", CellTags->"Integrate3", CellID->1210488286], - Cell[7537, 255, 2122, 76, 127, "Output", + Cell[7536, 255, 2122, 76, 127, "Output", CellTags->"Integrate3"], - Cell[9696, 336, 284, 9, 27, "Input", + Cell[9695, 336, 284, 9, 27, "Input", CellTags->"Integrate3", CellID->757263318], - Cell[9983, 347, 191, 6, 35, "Output", + Cell[9982, 347, 191, 6, 35, "Output", CellTags->"Integrate3"], - Cell[10211, 358, 340, 11, 27, "Input", + Cell[10210, 358, 340, 11, 27, "Input", CellTags->"Integrate3", CellID->818446262], - Cell[10554, 371, 280, 9, 37, "Output", + Cell[10553, 371, 280, 9, 37, "Output", CellTags->"Integrate3"], - Cell[10871, 385, 289, 10, 27, "Input", + Cell[10870, 385, 289, 10, 27, "Input", CellTags->"Integrate3", CellID->1567611943], - Cell[11163, 397, 191, 6, 35, "Output", + Cell[11162, 397, 191, 6, 35, "Output", CellTags->"Integrate3"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13966, 484}, - {"Integrate3", 14104, 488} + {"PrimaryExamplesSection", 13965, 484}, + {"Integrate3", 14103, 488} } *) (*NotebookFileOutline @@ -535,61 +535,61 @@ Cell[3890, 110, 584, 14, 119, "Usage", Cell[CellGroupData[{ Cell[4499, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2140586692], + CellID->1930744654], Cell[CellGroupData[{ -Cell[4912, 147, 196, 6, 26, "ExampleSection", - CellID->1006211834], +Cell[4912, 147, 195, 6, 26, "ExampleSection", + CellID->263199831], Cell[CellGroupData[{ -Cell[5133, 157, 298, 10, 31, "Input", +Cell[5132, 157, 298, 10, 31, "Input", CellTags->"Integrate3", CellID->425224867], -Cell[5434, 169, 310, 11, 61, "Output", +Cell[5433, 169, 310, 11, 61, "Output", CellTags->"Integrate3"] }, Open ]], Cell[CellGroupData[{ -Cell[5781, 185, 419, 14, 56, "Input", +Cell[5780, 185, 419, 14, 56, "Input", CellTags->"Integrate3", CellID->1726046539], -Cell[6203, 201, 599, 23, 38, "Output", +Cell[6202, 201, 599, 23, 38, "Output", CellTags->"Integrate3"] }, Open ]], Cell[CellGroupData[{ -Cell[6839, 229, 695, 24, 56, "Input", +Cell[6838, 229, 695, 24, 56, "Input", CellTags->"Integrate3", CellID->1210488286], -Cell[7537, 255, 2122, 76, 127, "Output", +Cell[7536, 255, 2122, 76, 127, "Output", CellTags->"Integrate3"] }, Open ]], Cell[CellGroupData[{ -Cell[9696, 336, 284, 9, 27, "Input", +Cell[9695, 336, 284, 9, 27, "Input", CellTags->"Integrate3", CellID->757263318], -Cell[9983, 347, 191, 6, 35, "Output", +Cell[9982, 347, 191, 6, 35, "Output", CellTags->"Integrate3"] }, Open ]], Cell[CellGroupData[{ -Cell[10211, 358, 340, 11, 27, "Input", +Cell[10210, 358, 340, 11, 27, "Input", CellTags->"Integrate3", CellID->818446262], -Cell[10554, 371, 280, 9, 37, "Output", +Cell[10553, 371, 280, 9, 37, "Output", CellTags->"Integrate3"] }, Open ]], Cell[CellGroupData[{ -Cell[10871, 385, 289, 10, 27, "Input", +Cell[10870, 385, 289, 10, 27, "Input", CellTags->"Integrate3", CellID->1567611943], -Cell[11163, 397, 191, 6, 35, "Output", +Cell[11162, 397, 191, 6, 35, "Output", CellTags->"Integrate3"] }, Open ]] }, Open ]], -Cell[11381, 407, 31, 0, 29, "SectionFooterSpacer"] +Cell[11380, 407, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11449, 412, 270, 12, 31, "SeeAlsoSection", +Cell[11448, 412, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11722, 426, 193, 7, 56, "SeeAlso"] +Cell[11721, 426, 193, 7, 56, "SeeAlso"] }, Open ]], -Cell[11930, 436, 23, 0, 41, "FooterCell"] +Cell[11929, 436, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate4.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate4.nb index 585c37baf..c06ade801 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate4.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate4.nb @@ -80,7 +80,7 @@ Integrate4.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$170542], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$171550], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Integrate4", ".html"]], None}]}]}, @@ -171,7 +171,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 8.204284}", + "built" -> "{2020, 6, 20, 19, 8, 5.599163}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate5.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate5.nb index 6ddd4a5d7..e0bbd8524 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate5.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integrate5.nb @@ -80,7 +80,7 @@ Integrate5.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$170986], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$171994], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Integrate5", ".html"]], None}]}]}, @@ -171,7 +171,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 9.107369}", + "built" -> "{2020, 6, 20, 19, 8, 6.397570}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntegrateByParts.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntegrateByParts.nb index 279ab0dd0..3c6cc2bfe 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntegrateByParts.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntegrateByParts.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9648, 315] +NotebookDataLength[ 9588, 314] NotebookOptionsPosition[ 6332, 217] -NotebookOutlinePosition[ 8825, 285] -CellTagsIndexPosition[ 8707, 279] +NotebookOutlinePosition[ 8765, 284] +CellTagsIndexPosition[ 8647, 278] WindowTitle->IntegrateByParts WindowFrame->Normal*) @@ -59,7 +59,7 @@ IntegrateByParts.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$171428], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$172436], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IntegrateByParts", ".html"]], None}]}]}, @@ -134,7 +134,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1668615542], + CellID->751564616], Cell["", "SectionHeaderSpacer"], @@ -150,7 +150,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"Hold", "\[Rule]", "False"}], "}"}], TraditionalForm]], "Output", - ImageSize->{95, 14}, + ImageSize->{95, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"IntegrateByParts", @@ -176,7 +176,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->532919514], + CellID->1289378673], Cell[CellGroupData[{ @@ -186,7 +186,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2112475075], + CellID->1050582824], Cell[BoxData[ RowBox[{"(*", @@ -218,7 +218,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"IntegrateByParts", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -230,7 +230,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 10.136089}", + "built" -> "{2020, 6, 20, 19, 8, 7.209782}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -251,8 +251,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -262,24 +261,24 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "IntegrateByParts"->{ - Cell[4597, 142, 151, 4, 70, "Input", + Cell[4596, 142, 151, 4, 70, "Input", CellTags->"IntegrateByParts", CellID->1168038147], - Cell[4751, 148, 258, 8, 35, "Output", + Cell[4750, 148, 258, 8, 37, "Output", CellTags->"IntegrateByParts"], Cell[5681, 190, 597, 21, 27, "Input", CellTags->"IntegrateByParts", CellID->328713984]}, "PrimaryExamplesSection"->{ - Cell[5070, 163, 387, 15, 31, "PrimaryExamplesSection", + Cell[5069, 163, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->532919514]} + CellID->1289378673]} } *) (*CellTagsIndex CellTagsIndex->{ - {"IntegrateByParts", 8268, 263}, - {"PrimaryExamplesSection", 8564, 272} + {"IntegrateByParts", 8207, 262}, + {"PrimaryExamplesSection", 8503, 271} } *) (*NotebookFileOutline @@ -291,26 +290,26 @@ Cell[CellGroupData[{ Cell[3215, 91, 559, 17, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3799, 112, 739, 24, 31, "NotesSection", +Cell[3799, 112, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1668615542], -Cell[4541, 138, 31, 0, 70, "SectionHeaderSpacer"], + CellID->751564616], +Cell[4540, 138, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4597, 142, 151, 4, 70, "Input", +Cell[4596, 142, 151, 4, 70, "Input", CellTags->"IntegrateByParts", CellID->1168038147], -Cell[4751, 148, 258, 8, 35, "Output", +Cell[4750, 148, 258, 8, 37, "Output", CellTags->"IntegrateByParts"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5070, 163, 387, 15, 31, "PrimaryExamplesSection", +Cell[5069, 163, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->532919514], + CellID->1289378673], Cell[CellGroupData[{ Cell[5482, 182, 196, 6, 26, "ExampleSection", - CellID->2112475075], + CellID->1050582824], Cell[5681, 190, 597, 21, 27, "Input", CellTags->"IntegrateByParts", CellID->328713984] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integratedx.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integratedx.nb index b81662452..e3288d5e7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integratedx.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Integratedx.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8406, 251] +NotebookDataLength[ 8405, 251] NotebookOptionsPosition[ 6362, 195] -NotebookOutlinePosition[ 8196, 243] -CellTagsIndexPosition[ 8153, 240] +NotebookOutlinePosition[ 8195, 243] +CellTagsIndexPosition[ 8152, 240] WindowTitle->Integratedx WindowFrame->Normal*) @@ -89,7 +89,7 @@ Integratedx.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$171862], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$172870], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Integratedx", ".html"]], None}]}]}, @@ -208,7 +208,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 11.334975}", + "built" -> "{2020, 6, 20, 19, 8, 8.107019}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntermediateSubstitutions.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntermediateSubstitutions.nb index 1eebb8bca..7cdbad859 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntermediateSubstitutions.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IntermediateSubstitutions.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7137, 212] +NotebookDataLength[ 7136, 212] NotebookOptionsPosition[ 4977, 154] -NotebookOutlinePosition[ 6930, 204] -CellTagsIndexPosition[ 6887, 201] +NotebookOutlinePosition[ 6929, 204] +CellTagsIndexPosition[ 6886, 201] WindowTitle->IntermediateSubstitutions WindowFrame->Normal*) @@ -81,7 +81,7 @@ IntermediateSubstitutions.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$172309], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$173317], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IntermediateSubstitutions", ".html"]], None}]}]}, @@ -167,7 +167,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 12.203439}", + "built" -> "{2020, 6, 20, 19, 8, 8.897122}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/InverseMellin.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/InverseMellin.nb index 81bd6d62c..8b648c319 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/InverseMellin.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/InverseMellin.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 43021, 1581] -NotebookOptionsPosition[ 31296, 1205] -NotebookOutlinePosition[ 37803, 1391] -CellTagsIndexPosition[ 37684, 1385] +NotebookDataLength[ 42961, 1580] +NotebookOptionsPosition[ 31295, 1205] +NotebookOutlinePosition[ 37744, 1390] +CellTagsIndexPosition[ 37625, 1384] WindowTitle->InverseMellin WindowFrame->Normal*) @@ -85,7 +85,7 @@ InverseMellin.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$172758], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$173766], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/InverseMellin", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1264895552], + CellID->1191700203], Cell[CellGroupData[{ @@ -167,7 +167,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1623030332], + CellID->402984487], Cell[CellGroupData[{ @@ -1206,7 +1206,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"InverseMellin", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1218,7 +1218,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 13.376294}", + "built" -> "{2020, 6, 20, 19, 8, 9.771264}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1241,8 +1241,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1254,138 +1253,138 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5144, 144, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1264895552]}, + CellID->1191700203]}, "InverseMellin"->{ - Cell[5778, 173, 188, 6, 27, "Input", + Cell[5777, 173, 188, 6, 27, "Input", CellTags->"InverseMellin", CellID->1487905241], - Cell[5969, 181, 242, 8, 40, "Output", + Cell[5968, 181, 242, 8, 40, "Output", CellTags->"InverseMellin"], - Cell[6248, 194, 239, 8, 27, "Input", + Cell[6247, 194, 239, 8, 27, "Input", CellTags->"InverseMellin", CellID->1769575859], - Cell[6490, 204, 242, 8, 39, "Output", + Cell[6489, 204, 242, 8, 39, "Output", CellTags->"InverseMellin"], - Cell[6769, 217, 160, 5, 27, "Input", + Cell[6768, 217, 160, 5, 27, "Input", CellTags->"InverseMellin", CellID->795107064], - Cell[6932, 224, 366, 13, 40, "Output", + Cell[6931, 224, 366, 13, 40, "Output", CellTags->"InverseMellin"], - Cell[7335, 242, 213, 7, 27, "Input", + Cell[7334, 242, 213, 7, 27, "Input", CellTags->"InverseMellin", CellID->1138973234], - Cell[7551, 251, 379, 14, 56, "Output", + Cell[7550, 251, 379, 14, 56, "Output", CellTags->"InverseMellin"], - Cell[7967, 270, 212, 7, 27, "Input", + Cell[7966, 270, 212, 7, 27, "Input", CellTags->"InverseMellin", CellID->634260831], - Cell[8182, 279, 446, 16, 40, "Output", + Cell[8181, 279, 446, 16, 40, "Output", CellTags->"InverseMellin"], - Cell[8665, 300, 221, 8, 27, "Input", + Cell[8664, 300, 221, 8, 27, "Input", CellTags->"InverseMellin", CellID->323775439], - Cell[8889, 310, 446, 16, 40, "Output", + Cell[8888, 310, 446, 16, 40, "Output", CellTags->"InverseMellin"], - Cell[9461, 335, 312, 10, 27, "Input", + Cell[9460, 335, 312, 10, 27, "Input", CellTags->"InverseMellin", CellID->1105681850], - Cell[9776, 347, 215, 7, 56, "Output", + Cell[9775, 347, 215, 7, 56, "Output", CellTags->"InverseMellin"], - Cell[10099, 361, 3149, 101, 243, "Input", + Cell[10098, 361, 3149, 101, 243, "Input", CellTags->"InverseMellin", CellID->988000997], - Cell[13251, 464, 261, 8, 29, "Input", + Cell[13250, 464, 261, 8, 29, "Input", CellTags->"InverseMellin", CellID->478330132], - Cell[13537, 476, 198, 7, 27, "Input", + Cell[13536, 476, 198, 7, 27, "Input", CellTags->"InverseMellin", CellID->1863843750], - Cell[13738, 485, 484, 17, 58, "Output", + Cell[13737, 485, 484, 17, 58, "Output", CellTags->"InverseMellin"], - Cell[14259, 507, 198, 7, 27, "Input", + Cell[14258, 507, 198, 7, 27, "Input", CellTags->"InverseMellin", CellID->1662530554], - Cell[14460, 516, 442, 15, 58, "Output", + Cell[14459, 516, 442, 15, 58, "Output", CellTags->"InverseMellin"], - Cell[14939, 536, 191, 6, 27, "Input", + Cell[14938, 536, 191, 6, 27, "Input", CellTags->"InverseMellin", CellID->1349819643], - Cell[15133, 544, 812, 28, 61, "Output", + Cell[15132, 544, 812, 28, 61, "Output", CellTags->"InverseMellin"], - Cell[15982, 577, 210, 7, 27, "Input", + Cell[15981, 577, 210, 7, 27, "Input", CellTags->"InverseMellin", CellID->209318413], - Cell[16195, 586, 615, 23, 61, "Output", + Cell[16194, 586, 615, 23, 61, "Output", CellTags->"InverseMellin"], - Cell[16847, 614, 288, 10, 27, "Input", + Cell[16846, 614, 288, 10, 27, "Input", CellTags->"InverseMellin", CellID->108977754], - Cell[17138, 626, 588, 21, 57, "Output", + Cell[17137, 626, 588, 21, 57, "Output", CellTags->"InverseMellin"], - Cell[17763, 652, 289, 10, 27, "Input", + Cell[17762, 652, 289, 10, 27, "Input", CellTags->"InverseMellin", CellID->1588128285], - Cell[18055, 664, 781, 28, 57, "Output", + Cell[18054, 664, 781, 28, 57, "Output", CellTags->"InverseMellin"], - Cell[18873, 697, 286, 10, 27, "Input", + Cell[18872, 697, 286, 10, 27, "Input", CellTags->"InverseMellin", CellID->1038982726], - Cell[19162, 709, 779, 28, 57, "Output", + Cell[19161, 709, 779, 28, 57, "Output", CellTags->"InverseMellin"], - Cell[19978, 742, 265, 10, 27, "Input", + Cell[19977, 742, 265, 10, 27, "Input", CellTags->"InverseMellin", CellID->1975519554], - Cell[20246, 754, 635, 23, 57, "Output", + Cell[20245, 754, 635, 23, 57, "Output", CellTags->"InverseMellin"], - Cell[20918, 782, 293, 11, 27, "Input", + Cell[20917, 782, 293, 11, 27, "Input", CellTags->"InverseMellin", CellID->1312317430], - Cell[21214, 795, 1000, 34, 61, "Output", + Cell[21213, 795, 1000, 34, 61, "Output", CellTags->"InverseMellin"], - Cell[22251, 834, 211, 7, 27, "Input", + Cell[22250, 834, 211, 7, 27, "Input", CellTags->"InverseMellin", CellID->1086751012], - Cell[22465, 843, 786, 28, 59, "Output", + Cell[22464, 843, 786, 28, 59, "Output", CellTags->"InverseMellin"], - Cell[23288, 876, 239, 8, 27, "Input", + Cell[23287, 876, 239, 8, 27, "Input", CellTags->"InverseMellin", CellID->410476681], - Cell[23530, 886, 773, 27, 57, "Output", + Cell[23529, 886, 773, 27, 57, "Output", CellTags->"InverseMellin"], - Cell[24340, 918, 211, 7, 27, "Input", + Cell[24339, 918, 211, 7, 27, "Input", CellTags->"InverseMellin", CellID->1961481381], - Cell[24554, 927, 879, 32, 62, "Output", + Cell[24553, 927, 879, 32, 62, "Output", CellTags->"InverseMellin"], - Cell[25470, 964, 220, 7, 27, "Input", + Cell[25469, 964, 220, 7, 27, "Input", CellTags->"InverseMellin", CellID->617286063], - Cell[25693, 973, 630, 23, 61, "Output", + Cell[25692, 973, 630, 23, 61, "Output", CellTags->"InverseMellin"], - Cell[26360, 1001, 242, 8, 27, "Input", + Cell[26359, 1001, 242, 8, 27, "Input", CellTags->"InverseMellin", CellID->1098001734], - Cell[26605, 1011, 1017, 36, 61, "Output", + Cell[26604, 1011, 1017, 36, 61, "Output", CellTags->"InverseMellin"], - Cell[27659, 1052, 242, 8, 27, "Input", + Cell[27658, 1052, 242, 8, 27, "Input", CellTags->"InverseMellin", CellID->1981996384], - Cell[27904, 1062, 1007, 36, 61, "Output", + Cell[27903, 1062, 1007, 36, 61, "Output", CellTags->"InverseMellin"], - Cell[28948, 1103, 230, 7, 27, "Input", + Cell[28947, 1103, 230, 7, 27, "Input", CellTags->"InverseMellin", CellID->371125491], - Cell[29181, 1112, 718, 26, 65, "Output", + Cell[29180, 1112, 718, 26, 65, "Output", CellTags->"InverseMellin"], - Cell[29914, 1141, 176, 6, 27, "Input", + Cell[29913, 1141, 176, 6, 27, "Input", CellTags->"InverseMellin", CellID->941829466]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 33404, 1253}, - {"InverseMellin", 33545, 1257} + {"PrimaryExamplesSection", 33345, 1252}, + {"InverseMellin", 33486, 1256} } *) (*NotebookFileOutline @@ -1398,191 +1397,191 @@ Cell[4254, 116, 865, 24, 120, "Usage", Cell[CellGroupData[{ Cell[5144, 144, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1264895552], + CellID->1191700203], Cell[CellGroupData[{ -Cell[5557, 163, 196, 6, 26, "ExampleSection", - CellID->1623030332], +Cell[5557, 163, 195, 6, 26, "ExampleSection", + CellID->402984487], Cell[CellGroupData[{ -Cell[5778, 173, 188, 6, 27, "Input", +Cell[5777, 173, 188, 6, 27, "Input", CellTags->"InverseMellin", CellID->1487905241], -Cell[5969, 181, 242, 8, 40, "Output", +Cell[5968, 181, 242, 8, 40, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[6248, 194, 239, 8, 27, "Input", +Cell[6247, 194, 239, 8, 27, "Input", CellTags->"InverseMellin", CellID->1769575859], -Cell[6490, 204, 242, 8, 39, "Output", +Cell[6489, 204, 242, 8, 39, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[6769, 217, 160, 5, 27, "Input", +Cell[6768, 217, 160, 5, 27, "Input", CellTags->"InverseMellin", CellID->795107064], -Cell[6932, 224, 366, 13, 40, "Output", +Cell[6931, 224, 366, 13, 40, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[7335, 242, 213, 7, 27, "Input", +Cell[7334, 242, 213, 7, 27, "Input", CellTags->"InverseMellin", CellID->1138973234], -Cell[7551, 251, 379, 14, 56, "Output", +Cell[7550, 251, 379, 14, 56, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[7967, 270, 212, 7, 27, "Input", +Cell[7966, 270, 212, 7, 27, "Input", CellTags->"InverseMellin", CellID->634260831], -Cell[8182, 279, 446, 16, 40, "Output", +Cell[8181, 279, 446, 16, 40, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[8665, 300, 221, 8, 27, "Input", +Cell[8664, 300, 221, 8, 27, "Input", CellTags->"InverseMellin", CellID->323775439], -Cell[8889, 310, 446, 16, 40, "Output", +Cell[8888, 310, 446, 16, 40, "Output", CellTags->"InverseMellin"] }, Open ]], -Cell[9350, 329, 86, 2, 32, "Notes"], +Cell[9349, 329, 86, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[9461, 335, 312, 10, 27, "Input", +Cell[9460, 335, 312, 10, 27, "Input", CellTags->"InverseMellin", CellID->1105681850], -Cell[9776, 347, 215, 7, 56, "Output", +Cell[9775, 347, 215, 7, 56, "Output", CellTags->"InverseMellin"] }, Open ]], -Cell[10006, 357, 90, 2, 32, "Notes"], -Cell[10099, 361, 3149, 101, 243, "Input", +Cell[10005, 357, 90, 2, 32, "Notes"], +Cell[10098, 361, 3149, 101, 243, "Input", CellTags->"InverseMellin", CellID->988000997], -Cell[13251, 464, 261, 8, 29, "Input", +Cell[13250, 464, 261, 8, 29, "Input", CellTags->"InverseMellin", CellID->478330132], Cell[CellGroupData[{ -Cell[13537, 476, 198, 7, 27, "Input", +Cell[13536, 476, 198, 7, 27, "Input", CellTags->"InverseMellin", CellID->1863843750], -Cell[13738, 485, 484, 17, 58, "Output", +Cell[13737, 485, 484, 17, 58, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[14259, 507, 198, 7, 27, "Input", +Cell[14258, 507, 198, 7, 27, "Input", CellTags->"InverseMellin", CellID->1662530554], -Cell[14460, 516, 442, 15, 58, "Output", +Cell[14459, 516, 442, 15, 58, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[14939, 536, 191, 6, 27, "Input", +Cell[14938, 536, 191, 6, 27, "Input", CellTags->"InverseMellin", CellID->1349819643], -Cell[15133, 544, 812, 28, 61, "Output", +Cell[15132, 544, 812, 28, 61, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[15982, 577, 210, 7, 27, "Input", +Cell[15981, 577, 210, 7, 27, "Input", CellTags->"InverseMellin", CellID->209318413], -Cell[16195, 586, 615, 23, 61, "Output", +Cell[16194, 586, 615, 23, 61, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[16847, 614, 288, 10, 27, "Input", +Cell[16846, 614, 288, 10, 27, "Input", CellTags->"InverseMellin", CellID->108977754], -Cell[17138, 626, 588, 21, 57, "Output", +Cell[17137, 626, 588, 21, 57, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[17763, 652, 289, 10, 27, "Input", +Cell[17762, 652, 289, 10, 27, "Input", CellTags->"InverseMellin", CellID->1588128285], -Cell[18055, 664, 781, 28, 57, "Output", +Cell[18054, 664, 781, 28, 57, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[18873, 697, 286, 10, 27, "Input", +Cell[18872, 697, 286, 10, 27, "Input", CellTags->"InverseMellin", CellID->1038982726], -Cell[19162, 709, 779, 28, 57, "Output", +Cell[19161, 709, 779, 28, 57, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[19978, 742, 265, 10, 27, "Input", +Cell[19977, 742, 265, 10, 27, "Input", CellTags->"InverseMellin", CellID->1975519554], -Cell[20246, 754, 635, 23, 57, "Output", +Cell[20245, 754, 635, 23, 57, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[20918, 782, 293, 11, 27, "Input", +Cell[20917, 782, 293, 11, 27, "Input", CellTags->"InverseMellin", CellID->1312317430], -Cell[21214, 795, 1000, 34, 61, "Output", +Cell[21213, 795, 1000, 34, 61, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[22251, 834, 211, 7, 27, "Input", +Cell[22250, 834, 211, 7, 27, "Input", CellTags->"InverseMellin", CellID->1086751012], -Cell[22465, 843, 786, 28, 59, "Output", +Cell[22464, 843, 786, 28, 59, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[23288, 876, 239, 8, 27, "Input", +Cell[23287, 876, 239, 8, 27, "Input", CellTags->"InverseMellin", CellID->410476681], -Cell[23530, 886, 773, 27, 57, "Output", +Cell[23529, 886, 773, 27, 57, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[24340, 918, 211, 7, 27, "Input", +Cell[24339, 918, 211, 7, 27, "Input", CellTags->"InverseMellin", CellID->1961481381], -Cell[24554, 927, 879, 32, 62, "Output", +Cell[24553, 927, 879, 32, 62, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[25470, 964, 220, 7, 27, "Input", +Cell[25469, 964, 220, 7, 27, "Input", CellTags->"InverseMellin", CellID->617286063], -Cell[25693, 973, 630, 23, 61, "Output", +Cell[25692, 973, 630, 23, 61, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[26360, 1001, 242, 8, 27, "Input", +Cell[26359, 1001, 242, 8, 27, "Input", CellTags->"InverseMellin", CellID->1098001734], -Cell[26605, 1011, 1017, 36, 61, "Output", +Cell[26604, 1011, 1017, 36, 61, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[27659, 1052, 242, 8, 27, "Input", +Cell[27658, 1052, 242, 8, 27, "Input", CellTags->"InverseMellin", CellID->1981996384], -Cell[27904, 1062, 1007, 36, 61, "Output", +Cell[27903, 1062, 1007, 36, 61, "Output", CellTags->"InverseMellin"] }, Open ]], Cell[CellGroupData[{ -Cell[28948, 1103, 230, 7, 27, "Input", +Cell[28947, 1103, 230, 7, 27, "Input", CellTags->"InverseMellin", CellID->371125491], -Cell[29181, 1112, 718, 26, 65, "Output", +Cell[29180, 1112, 718, 26, 65, "Output", CellTags->"InverseMellin"] }, Open ]], -Cell[29914, 1141, 176, 6, 27, "Input", +Cell[29913, 1141, 176, 6, 27, "Input", CellTags->"InverseMellin", CellID->941829466] }, Open ]], -Cell[30105, 1150, 31, 0, 29, "SectionFooterSpacer"] +Cell[30104, 1150, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[30173, 1155, 270, 12, 31, "SeeAlsoSection", +Cell[30172, 1155, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[30446, 1169, 808, 31, 56, "SeeAlso"] +Cell[30445, 1169, 808, 31, 56, "SeeAlso"] }, Open ]], -Cell[31269, 1203, 23, 0, 41, "FooterCell"] +Cell[31268, 1203, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Isolate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Isolate.nb index 05fff5b07..933f2fdc8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Isolate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Isolate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18488, 642] -NotebookOptionsPosition[ 12051, 446] -NotebookOutlinePosition[ 16271, 559] -CellTagsIndexPosition[ 16100, 552] +NotebookDataLength[ 18438, 641] +NotebookOptionsPosition[ 12054, 446] +NotebookOutlinePosition[ 16218, 558] +CellTagsIndexPosition[ 16047, 551] WindowTitle->Isolate WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$173667], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$174675], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Isolate", ".html"]], None}]}]}, @@ -133,7 +133,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->773008384], + CellID->1342222497], Cell["", "SectionHeaderSpacer"], @@ -156,7 +156,7 @@ Cell[BoxData[ RowBox[{"IsolateTimes", "\[Rule]", "False"}], ",", RowBox[{"IsolatePlus", "\[Rule]", "False"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{371, 34}, + ImageSize->{371, 35}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Isolate", @@ -182,7 +182,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->476043383], + CellID->1435130856], Cell[CellGroupData[{ @@ -192,7 +192,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->704436246], + CellID->1933483265], Cell[CellGroupData[{ @@ -459,7 +459,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 15.670179}", + "built" -> "{2020, 6, 20, 19, 8, 11.976747}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -482,8 +482,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -493,67 +492,67 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Isolate"->{ - Cell[4689, 141, 133, 4, 70, "Input", + Cell[4690, 141, 133, 4, 70, "Input", CellTags->"Isolate", CellID->2088060696], - Cell[4825, 147, 557, 15, 55, "Output", + Cell[4826, 147, 557, 15, 56, "Output", CellTags->"Isolate"], - Cell[6075, 198, 174, 6, 27, "Input", + Cell[6078, 198, 174, 6, 27, "Input", CellTags->"Isolate", CellID->1761911845], - Cell[6252, 206, 243, 9, 37, "Output", + Cell[6255, 206, 243, 9, 37, "Output", CellTags->"Isolate"], - Cell[6532, 220, 396, 14, 27, "Input", + Cell[6535, 220, 396, 14, 27, "Input", CellTags->"Isolate", CellID->1164516818], - Cell[6931, 236, 392, 15, 37, "Output", + Cell[6934, 236, 392, 15, 37, "Output", CellTags->"Isolate"], - Cell[7360, 256, 131, 4, 27, "Input", + Cell[7363, 256, 131, 4, 27, "Input", CellTags->"Isolate", CellID->810104736], - Cell[7494, 262, 369, 14, 51, "Output", + Cell[7497, 262, 369, 14, 51, "Output", CellTags->"Isolate"], - Cell[7900, 281, 199, 6, 27, "Input", + Cell[7903, 281, 199, 6, 27, "Input", CellTags->"Isolate", CellID->113729976], - Cell[8102, 289, 728, 28, 37, "Output", + Cell[8105, 289, 728, 28, 37, "Output", CellTags->"Isolate"], - Cell[8867, 322, 578, 20, 27, "Input", + Cell[8870, 322, 578, 20, 27, "Input", CellTags->"Isolate", CellID->689489417], - Cell[9448, 344, 442, 17, 37, "Output", + Cell[9451, 344, 442, 17, 37, "Output", CellTags->"Isolate"], - Cell[9927, 366, 112, 4, 27, "Input", + Cell[9930, 366, 112, 4, 27, "Input", CellTags->"Isolate", CellID->1089652184], - Cell[10064, 374, 109, 1, 42, "Print", + Cell[10067, 374, 109, 1, 42, "Print", CellTags->{"Info-e2b39ee4-0424-4b02-a1ac-880dc8e10ae5", "Isolate"}], - Cell[10176, 377, 1047, 30, 57, "Print", + Cell[10179, 377, 1047, 30, 57, "Print", CellTags->{"Info-e2b39ee4-0424-4b02-a1ac-880dc8e10ae5", "Isolate"}], - Cell[11272, 413, 296, 8, 27, "Input", + Cell[11275, 413, 296, 8, 27, "Input", CellTags->"Isolate", CellID->2019918870], - Cell[11571, 423, 242, 9, 37, "Output", + Cell[11574, 423, 242, 9, 37, "Output", CellTags->"Isolate"], - Cell[11828, 435, 169, 5, 27, "Input", + Cell[11831, 435, 169, 5, 27, "Input", CellTags->"Isolate", CellID->808271947]}, "PrimaryExamplesSection"->{ - Cell[5443, 169, 387, 15, 31, "PrimaryExamplesSection", + Cell[5444, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->476043383]}, + CellID->1435130856]}, "Info-e2b39ee4-0424-4b02-a1ac-880dc8e10ae5"->{ - Cell[10064, 374, 109, 1, 42, "Print", + Cell[10067, 374, 109, 1, 42, "Print", CellTags->{"Info-e2b39ee4-0424-4b02-a1ac-880dc8e10ae5", "Isolate"}], - Cell[10176, 377, 1047, 30, 57, "Print", + Cell[10179, 377, 1047, 30, 57, "Print", CellTags->{"Info-e2b39ee4-0424-4b02-a1ac-880dc8e10ae5", "Isolate"}]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Isolate", 14182, 494}, - {"PrimaryExamplesSection", 15682, 540}, - {"Info-e2b39ee4-0424-4b02-a1ac-880dc8e10ae5", 15850, 544} + {"Isolate", 14128, 493}, + {"PrimaryExamplesSection", 15628, 539}, + {"Info-e2b39ee4-0424-4b02-a1ac-880dc8e10ae5", 15797, 543} } *) (*NotebookFileOutline @@ -565,85 +564,85 @@ Cell[CellGroupData[{ Cell[3160, 91, 707, 16, 136, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3892, 111, 738, 24, 31, "NotesSection", +Cell[3892, 111, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->773008384], -Cell[4633, 137, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1342222497], +Cell[4634, 137, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4689, 141, 133, 4, 70, "Input", +Cell[4690, 141, 133, 4, 70, "Input", CellTags->"Isolate", CellID->2088060696], -Cell[4825, 147, 557, 15, 55, "Output", +Cell[4826, 147, 557, 15, 56, "Output", CellTags->"Isolate"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5443, 169, 387, 15, 31, "PrimaryExamplesSection", +Cell[5444, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->476043383], + CellID->1435130856], Cell[CellGroupData[{ -Cell[5855, 188, 195, 6, 26, "ExampleSection", - CellID->704436246], +Cell[5857, 188, 196, 6, 26, "ExampleSection", + CellID->1933483265], Cell[CellGroupData[{ -Cell[6075, 198, 174, 6, 27, "Input", +Cell[6078, 198, 174, 6, 27, "Input", CellTags->"Isolate", CellID->1761911845], -Cell[6252, 206, 243, 9, 37, "Output", +Cell[6255, 206, 243, 9, 37, "Output", CellTags->"Isolate"] }, Open ]], Cell[CellGroupData[{ -Cell[6532, 220, 396, 14, 27, "Input", +Cell[6535, 220, 396, 14, 27, "Input", CellTags->"Isolate", CellID->1164516818], -Cell[6931, 236, 392, 15, 37, "Output", +Cell[6934, 236, 392, 15, 37, "Output", CellTags->"Isolate"] }, Open ]], Cell[CellGroupData[{ -Cell[7360, 256, 131, 4, 27, "Input", +Cell[7363, 256, 131, 4, 27, "Input", CellTags->"Isolate", CellID->810104736], -Cell[7494, 262, 369, 14, 51, "Output", +Cell[7497, 262, 369, 14, 51, "Output", CellTags->"Isolate"] }, Open ]], Cell[CellGroupData[{ -Cell[7900, 281, 199, 6, 27, "Input", +Cell[7903, 281, 199, 6, 27, "Input", CellTags->"Isolate", CellID->113729976], -Cell[8102, 289, 728, 28, 37, "Output", +Cell[8105, 289, 728, 28, 37, "Output", CellTags->"Isolate"] }, Open ]], Cell[CellGroupData[{ -Cell[8867, 322, 578, 20, 27, "Input", +Cell[8870, 322, 578, 20, 27, "Input", CellTags->"Isolate", CellID->689489417], -Cell[9448, 344, 442, 17, 37, "Output", +Cell[9451, 344, 442, 17, 37, "Output", CellTags->"Isolate"] }, Open ]], Cell[CellGroupData[{ -Cell[9927, 366, 112, 4, 27, "Input", +Cell[9930, 366, 112, 4, 27, "Input", CellTags->"Isolate", CellID->1089652184], Cell[CellGroupData[{ -Cell[10064, 374, 109, 1, 42, "Print", +Cell[10067, 374, 109, 1, 42, "Print", CellTags->{"Info-e2b39ee4-0424-4b02-a1ac-880dc8e10ae5", "Isolate"}], -Cell[10176, 377, 1047, 30, 57, "Print", +Cell[10179, 377, 1047, 30, 57, "Print", CellTags->{"Info-e2b39ee4-0424-4b02-a1ac-880dc8e10ae5", "Isolate"}] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[11272, 413, 296, 8, 27, "Input", +Cell[11275, 413, 296, 8, 27, "Input", CellTags->"Isolate", CellID->2019918870], -Cell[11571, 423, 242, 9, 37, "Output", +Cell[11574, 423, 242, 9, 37, "Output", CellTags->"Isolate"] }, Open ]], -Cell[11828, 435, 169, 5, 27, "Input", +Cell[11831, 435, 169, 5, 27, "Input", CellTags->"Isolate", CellID->808271947] }, Open ]] }, Open ]], -Cell[12024, 444, 23, 0, 41, "FooterCell"] +Cell[12027, 444, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolateNames.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolateNames.nb index 4e143b32b..a95260b24 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolateNames.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolateNames.nb @@ -80,7 +80,7 @@ IsolateNames.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$173221], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$174229], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IsolateNames", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 14.676198}", + "built" -> "{2020, 6, 20, 19, 8, 10.903620}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolatePrint.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolatePrint.nb index 231a6feac..530e97fee 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolatePrint.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolatePrint.nb @@ -79,7 +79,7 @@ IsolatePrint.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$174103], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$175111], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IsolatePrint", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 16.772533}", + "built" -> "{2020, 6, 20, 19, 8, 13.010760}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolateSplit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolateSplit.nb index ce270e0fb..658bbf8a2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolateSplit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/IsolateSplit.nb @@ -79,7 +79,7 @@ IsolateSplit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$174545], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$175553], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/IsolateSplit", ".html"]], None}]}]}, @@ -168,7 +168,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 17.568794}", + "built" -> "{2020, 6, 20, 19, 8, 13.814708}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/KD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/KD.nb index 2c1b4bc7c..b66552eef 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/KD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/KD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11064, 403] -NotebookOptionsPosition[ 7013, 265] -NotebookOutlinePosition[ 9829, 351] -CellTagsIndexPosition[ 9725, 345] +NotebookDataLength[ 11069, 403] +NotebookOptionsPosition[ 7015, 265] +NotebookOutlinePosition[ 9832, 351] +CellTagsIndexPosition[ 9728, 345] WindowTitle->KD WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$175868], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$176876], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/KD", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->893998821], + CellID->1906086775], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->605950437], + CellID->1938257492], Cell[CellGroupData[{ @@ -265,8 +265,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"KD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -278,7 +278,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 20.768248}", + "built" -> "{2020, 6, 20, 19, 8, 16.618373}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -306,46 +306,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3551, 106, 387, 15, 31, "PrimaryExamplesSection", + Cell[3551, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->893998821]}, + CellID->1906086775]}, "MT"->{ - Cell[4183, 135, 139, 5, 27, "Input", + Cell[4185, 135, 139, 5, 27, "Input", CellTags->"MT", CellID->2071184026], - Cell[4325, 142, 564, 24, 38, "Output", + Cell[4327, 142, 564, 24, 38, "Output", CellTags->"MT", CellID->52901115], - Cell[4926, 171, 254, 9, 27, "Input", + Cell[4928, 171, 254, 9, 27, "Input", CellTags->"MT", CellID->828510540], - Cell[5183, 182, 204, 7, 35, "Output", + Cell[5185, 182, 204, 7, 35, "Output", CellTags->"MT", CellID->1251562506], - Cell[5424, 194, 174, 6, 27, "Input", + Cell[5426, 194, 174, 6, 27, "Input", CellTags->"MT", CellID->493237874], - Cell[5601, 202, 240, 8, 51, "Output", + Cell[5603, 202, 240, 8, 51, "Output", CellTags->"MT", CellID->368769417], - Cell[5878, 215, 207, 7, 27, "Input", + Cell[5880, 215, 207, 7, 27, "Input", CellTags->"MT", CellID->2090805972], - Cell[6088, 224, 337, 10, 51, "Output", + Cell[6090, 224, 337, 10, 51, "Output", CellTags->"MT", CellID->1408413043], - Cell[6462, 239, 242, 9, 27, "Input", + Cell[6464, 239, 242, 9, 27, "Input", CellTags->"MT", CellID->921483723], - Cell[6707, 250, 240, 8, 51, "Output", + Cell[6709, 250, 240, 8, 51, "Output", CellTags->"MT", CellID->117264146]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8752, 307}, - {"MT", 8881, 311} + {"PrimaryExamplesSection", 8754, 307}, + {"MT", 8884, 311} } *) (*NotebookFileOutline @@ -356,55 +356,55 @@ Cell[2839, 76, 279, 11, 45, "ObjectNameGrid"], Cell[3121, 89, 405, 13, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3551, 106, 387, 15, 31, "PrimaryExamplesSection", +Cell[3551, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->893998821], + CellID->1906086775], Cell[CellGroupData[{ -Cell[3963, 125, 195, 6, 26, "ExampleSection", - CellID->605950437], +Cell[3964, 125, 196, 6, 26, "ExampleSection", + CellID->1938257492], Cell[CellGroupData[{ -Cell[4183, 135, 139, 5, 27, "Input", +Cell[4185, 135, 139, 5, 27, "Input", CellTags->"MT", CellID->2071184026], -Cell[4325, 142, 564, 24, 38, "Output", +Cell[4327, 142, 564, 24, 38, "Output", CellTags->"MT", CellID->52901115] }, Open ]], Cell[CellGroupData[{ -Cell[4926, 171, 254, 9, 27, "Input", +Cell[4928, 171, 254, 9, 27, "Input", CellTags->"MT", CellID->828510540], -Cell[5183, 182, 204, 7, 35, "Output", +Cell[5185, 182, 204, 7, 35, "Output", CellTags->"MT", CellID->1251562506] }, Open ]], Cell[CellGroupData[{ -Cell[5424, 194, 174, 6, 27, "Input", +Cell[5426, 194, 174, 6, 27, "Input", CellTags->"MT", CellID->493237874], -Cell[5601, 202, 240, 8, 51, "Output", +Cell[5603, 202, 240, 8, 51, "Output", CellTags->"MT", CellID->368769417] }, Open ]], Cell[CellGroupData[{ -Cell[5878, 215, 207, 7, 27, "Input", +Cell[5880, 215, 207, 7, 27, "Input", CellTags->"MT", CellID->2090805972], -Cell[6088, 224, 337, 10, 51, "Output", +Cell[6090, 224, 337, 10, 51, "Output", CellTags->"MT", CellID->1408413043] }, Open ]], Cell[CellGroupData[{ -Cell[6462, 239, 242, 9, 27, "Input", +Cell[6464, 239, 242, 9, 27, "Input", CellTags->"MT", CellID->921483723], -Cell[6707, 250, 240, 8, 51, "Output", +Cell[6709, 250, 240, 8, 51, "Output", CellTags->"MT", CellID->117264146] }, Open ]] }, Open ]] }, Open ]], -Cell[6986, 263, 23, 0, 41, "FooterCell"] +Cell[6988, 263, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/KDD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/KDD.nb index 1889c0452..8141d2be0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/KDD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/KDD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11296, 410] +NotebookDataLength[ 11236, 409] NotebookOptionsPosition[ 7176, 271] -NotebookOutlinePosition[ 10058, 358] -CellTagsIndexPosition[ 9954, 352] +NotebookOutlinePosition[ 9998, 357] +CellTagsIndexPosition[ 9894, 351] WindowTitle->KDD WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$174992], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$176000], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/KDD", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1094012394], + CellID->1987572999], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->651166284], + CellID->269810848], Cell[CellGroupData[{ @@ -271,8 +271,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"KDD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -284,7 +284,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 18.538316}", + "built" -> "{2020, 6, 20, 19, 8, 14.636406}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -302,8 +302,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -315,7 +314,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3558, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1094012394]}, + CellID->1987572999]}, "MT"->{ Cell[4191, 135, 140, 5, 27, "Input", CellTags->"MT", @@ -351,8 +350,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8978, 314}, - {"MT", 9108, 318} + {"PrimaryExamplesSection", 8918, 313}, + {"MT", 9048, 317} } *) (*NotebookFileOutline @@ -365,10 +364,10 @@ Cell[3127, 89, 406, 13, 84, "Usage", Cell[CellGroupData[{ Cell[3558, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1094012394], + CellID->1987572999], Cell[CellGroupData[{ Cell[3971, 125, 195, 6, 26, "ExampleSection", - CellID->651166284], + CellID->269810848], Cell[CellGroupData[{ Cell[4191, 135, 140, 5, 27, "Input", CellTags->"MT", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/KDE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/KDE.nb index d22ff99ad..d40e1221a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/KDE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/KDE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12607, 467] -NotebookOptionsPosition[ 8154, 315] -NotebookOutlinePosition[ 11054, 403] -CellTagsIndexPosition[ 10948, 397] +NotebookDataLength[ 12548, 466] +NotebookOptionsPosition[ 8153, 315] +NotebookOutlinePosition[ 10996, 402] +CellTagsIndexPosition[ 10890, 396] WindowTitle->KDE WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$175429], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$176437], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/KDE", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->201794191], + CellID->989041271], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1654846392], + CellID->360692079], Cell[CellGroupData[{ @@ -328,7 +328,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 19.672449}", + "built" -> "{2020, 6, 20, 19, 8, 15.622369}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -347,8 +347,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -360,44 +359,44 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3560, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->201794191]}, + CellID->989041271]}, "MTD"->{ - Cell[4193, 135, 141, 5, 27, "Input", + Cell[4192, 135, 141, 5, 27, "Input", CellTags->"MTD", CellID->1680977301], - Cell[4337, 142, 567, 24, 39, "Output", + Cell[4336, 142, 567, 24, 39, "Output", CellTags->"MTD", CellID->2008652801], - Cell[4941, 171, 253, 9, 27, "Input", + Cell[4940, 171, 253, 9, 27, "Input", CellTags->"MTD", CellID->2085004373], - Cell[5197, 182, 228, 8, 35, "Output", + Cell[5196, 182, 228, 8, 35, "Output", CellTags->"MTD", CellID->1261470169], - Cell[6407, 238, 176, 6, 27, "Input", + Cell[6406, 238, 176, 6, 27, "Input", CellTags->"MTD", CellID->964321899], - Cell[6586, 246, 243, 8, 51, "Output", + Cell[6585, 246, 243, 8, 51, "Output", CellTags->"MTD", CellID->1000250313], - Cell[6866, 259, 209, 7, 27, "Input", + Cell[6865, 259, 209, 7, 27, "Input", CellTags->"MTD", CellID->1887554420], - Cell[7078, 268, 484, 16, 51, "Output", + Cell[7077, 268, 484, 16, 51, "Output", CellTags->"MTD", CellID->1264465576], - Cell[7599, 289, 244, 9, 27, "Input", + Cell[7598, 289, 244, 9, 27, "Input", CellTags->"MTD", CellID->623099946], - Cell[7846, 300, 242, 8, 51, "Output", + Cell[7845, 300, 242, 8, 51, "Output", CellTags->"MTD", CellID->221320876]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9960, 359}, - {"MTD", 10090, 363} + {"PrimaryExamplesSection", 9902, 358}, + {"MTD", 10032, 362} } *) (*NotebookFileOutline @@ -410,65 +409,65 @@ Cell[3127, 89, 408, 13, 84, "Usage", Cell[CellGroupData[{ Cell[3560, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->201794191], + CellID->989041271], Cell[CellGroupData[{ -Cell[3972, 125, 196, 6, 26, "ExampleSection", - CellID->1654846392], +Cell[3972, 125, 195, 6, 26, "ExampleSection", + CellID->360692079], Cell[CellGroupData[{ -Cell[4193, 135, 141, 5, 27, "Input", +Cell[4192, 135, 141, 5, 27, "Input", CellTags->"MTD", CellID->1680977301], -Cell[4337, 142, 567, 24, 39, "Output", +Cell[4336, 142, 567, 24, 39, "Output", CellTags->"MTD", CellID->2008652801] }, Open ]], Cell[CellGroupData[{ -Cell[4941, 171, 253, 9, 27, "Input", +Cell[4940, 171, 253, 9, 27, "Input", CellTags->"MTD", CellID->2085004373], -Cell[5197, 182, 228, 8, 35, "Output", +Cell[5196, 182, 228, 8, 35, "Output", CellTags->"MTD", CellID->1261470169] }, Open ]], Cell[CellGroupData[{ -Cell[5462, 195, 234, 8, 27, "Input", +Cell[5461, 195, 234, 8, 27, "Input", CellID->1799001225], -Cell[5699, 205, 187, 6, 35, "Output", +Cell[5698, 205, 187, 6, 35, "Output", CellID->2094228019] }, Open ]], Cell[CellGroupData[{ -Cell[5923, 216, 235, 8, 27, "Input", +Cell[5922, 216, 235, 8, 27, "Input", CellID->1071300852], -Cell[6161, 226, 209, 7, 35, "Output", +Cell[6160, 226, 209, 7, 35, "Output", CellID->873532203] }, Open ]], Cell[CellGroupData[{ -Cell[6407, 238, 176, 6, 27, "Input", +Cell[6406, 238, 176, 6, 27, "Input", CellTags->"MTD", CellID->964321899], -Cell[6586, 246, 243, 8, 51, "Output", +Cell[6585, 246, 243, 8, 51, "Output", CellTags->"MTD", CellID->1000250313] }, Open ]], Cell[CellGroupData[{ -Cell[6866, 259, 209, 7, 27, "Input", +Cell[6865, 259, 209, 7, 27, "Input", CellTags->"MTD", CellID->1887554420], -Cell[7078, 268, 484, 16, 51, "Output", +Cell[7077, 268, 484, 16, 51, "Output", CellTags->"MTD", CellID->1264465576] }, Open ]], Cell[CellGroupData[{ -Cell[7599, 289, 244, 9, 27, "Input", +Cell[7598, 289, 244, 9, 27, "Input", CellTags->"MTD", CellID->623099946], -Cell[7846, 300, 242, 8, 51, "Output", +Cell[7845, 300, 242, 8, 51, "Output", CellTags->"MTD", CellID->221320876] }, Open ]] }, Open ]] }, Open ]], -Cell[8127, 313, 23, 0, 41, "FooterCell"] +Cell[8126, 313, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/KK.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/KK.nb index 1abadc541..f4fa02da4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/KK.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/KK.nb @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$176307], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$177315], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/KK", ".html"]], None}]}]}, @@ -174,7 +174,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 21.904841}", + "built" -> "{2020, 6, 20, 19, 8, 17.627414}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Kummer.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Kummer.nb index 297feef73..e03325ff8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Kummer.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Kummer.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 65232, 2282] +NotebookDataLength[ 65231, 2282] NotebookOptionsPosition[ 50593, 1773] -NotebookOutlinePosition[ 58340, 2012] -CellTagsIndexPosition[ 58228, 2006] +NotebookOutlinePosition[ 58339, 2012] +CellTagsIndexPosition[ 58227, 2006] WindowTitle->Kummer WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$176750], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$177758], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Kummer", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1622183496], + CellID->671352331], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->842763816], + CellID->1849867123], Cell[CellGroupData[{ @@ -1773,8 +1773,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Kummer", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1786,7 +1786,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 23.123162}", + "built" -> "{2020, 6, 20, 19, 8, 18.804850}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1817,21 +1817,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4478, 129, 388, 15, 31, "PrimaryExamplesSection", + Cell[4478, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1622183496]}, + CellID->671352331]}, "Kummer"->{ - Cell[5111, 158, 354, 10, 27, "Input", + Cell[5111, 158, 354, 10, 45, "Input", CellTags->"Kummer", CellID->318247247], Cell[5468, 170, 537, 17, 41, "Output", CellTags->"Kummer"], - Cell[6042, 192, 355, 10, 27, "Input", + Cell[6042, 192, 355, 10, 45, "Input", CellTags->"Kummer", CellID->1547382498], Cell[6400, 204, 552, 18, 54, "Output", CellTags->"Kummer"], - Cell[6989, 227, 353, 10, 27, "Input", + Cell[6989, 227, 353, 10, 45, "Input", CellTags->"Kummer", CellID->87779889], Cell[7345, 239, 552, 18, 54, "Output", @@ -2006,7 +2006,7 @@ CellTagsIndex->{ (*CellTagsIndex CellTagsIndex->{ {"PrimaryExamplesSection", 52520, 1818}, - {"Kummer", 52654, 1822} + {"Kummer", 52653, 1822} } *) (*NotebookFileOutline @@ -2017,28 +2017,28 @@ Cell[3591, 97, 283, 11, 45, "ObjectNameGrid"], Cell[3877, 110, 576, 15, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4478, 129, 388, 15, 31, "PrimaryExamplesSection", +Cell[4478, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1622183496], + CellID->671352331], Cell[CellGroupData[{ -Cell[4891, 148, 195, 6, 26, "ExampleSection", - CellID->842763816], +Cell[4890, 148, 196, 6, 26, "ExampleSection", + CellID->1849867123], Cell[CellGroupData[{ -Cell[5111, 158, 354, 10, 27, "Input", +Cell[5111, 158, 354, 10, 45, "Input", CellTags->"Kummer", CellID->318247247], Cell[5468, 170, 537, 17, 41, "Output", CellTags->"Kummer"] }, Open ]], Cell[CellGroupData[{ -Cell[6042, 192, 355, 10, 27, "Input", +Cell[6042, 192, 355, 10, 45, "Input", CellTags->"Kummer", CellID->1547382498], Cell[6400, 204, 552, 18, 54, "Output", CellTags->"Kummer"] }, Open ]], Cell[CellGroupData[{ -Cell[6989, 227, 353, 10, 27, "Input", +Cell[6989, 227, 353, 10, 45, "Input", CellTags->"Kummer", CellID->87779889], Cell[7345, 239, 552, 18, 54, "Output", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LC.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LC.nb index b2a28c0f4..1f6dbd7e1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LC.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LC.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15341, 559] -NotebookOptionsPosition[ 10753, 409] -NotebookOutlinePosition[ 13837, 499] -CellTagsIndexPosition[ 13731, 493] +NotebookDataLength[ 15281, 558] +NotebookOptionsPosition[ 10752, 409] +NotebookOutlinePosition[ 13778, 498] +CellTagsIndexPosition[ 13672, 492] WindowTitle->LC WindowFrame->Normal*) @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$178109], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$179117], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/LC", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2053325263], + CellID->629416082], Cell[CellGroupData[{ @@ -164,7 +164,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->427460382], + CellID->242280381], Cell[CellGroupData[{ @@ -422,7 +422,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 26.975298}", + "built" -> "{2020, 6, 20, 19, 8, 22.349097}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -443,8 +443,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -454,46 +453,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4864, 141, 388, 15, 31, "PrimaryExamplesSection", + Cell[4864, 141, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2053325263]}, + CellID->629416082]}, "LC"->{ - Cell[5497, 170, 181, 6, 27, "Input", + Cell[5496, 170, 181, 6, 27, "Input", CellTags->"LC", CellID->230950391], - Cell[5681, 178, 585, 25, 35, "Output", + Cell[5680, 178, 585, 25, 35, "Output", CellTags->"LC"], - Cell[6303, 208, 111, 4, 27, "Input", + Cell[6302, 208, 111, 4, 27, "Input", CellTags->"LC", CellID->92802358], - Cell[6417, 214, 585, 25, 35, "Output", + Cell[6416, 214, 585, 25, 35, "Output", CellTags->"LC"], - Cell[7039, 244, 122, 4, 27, "Input", + Cell[7038, 244, 122, 4, 27, "Input", CellTags->"LC", CellID->1961193735], - Cell[7164, 250, 422, 11, 69, "Output", + Cell[7163, 250, 422, 11, 69, "Output", CellTags->"LC"], - Cell[7623, 266, 199, 7, 27, "Input", + Cell[7622, 266, 199, 7, 27, "Input", CellTags->"LC", CellID->1694017561], - Cell[7825, 275, 629, 27, 38, "Output", + Cell[7824, 275, 629, 27, 38, "Output", CellTags->"LC"], - Cell[8491, 307, 147, 5, 27, "Input", + Cell[8490, 307, 147, 5, 27, "Input", CellTags->"LC", CellID->918021002], - Cell[8641, 314, 402, 11, 51, "Output", + Cell[8640, 314, 402, 11, 51, "Output", CellTags->"LC"], - Cell[9080, 330, 399, 14, 27, "Input", + Cell[9079, 330, 399, 14, 27, "Input", CellTags->"LC", CellID->1267409184], - Cell[9482, 346, 545, 22, 37, "Output", + Cell[9481, 346, 545, 22, 37, "Output", CellTags->"LC"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12722, 455}, - {"LC", 12852, 459} + {"PrimaryExamplesSection", 12664, 454}, + {"LC", 12793, 458} } *) (*NotebookFileOutline @@ -504,63 +503,63 @@ Cell[3635, 98, 279, 11, 45, "ObjectNameGrid"], Cell[3917, 111, 922, 26, 105, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4864, 141, 388, 15, 31, "PrimaryExamplesSection", +Cell[4864, 141, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2053325263], + CellID->629416082], Cell[CellGroupData[{ -Cell[5277, 160, 195, 6, 26, "ExampleSection", - CellID->427460382], +Cell[5276, 160, 195, 6, 26, "ExampleSection", + CellID->242280381], Cell[CellGroupData[{ -Cell[5497, 170, 181, 6, 27, "Input", +Cell[5496, 170, 181, 6, 27, "Input", CellTags->"LC", CellID->230950391], -Cell[5681, 178, 585, 25, 35, "Output", +Cell[5680, 178, 585, 25, 35, "Output", CellTags->"LC"] }, Open ]], Cell[CellGroupData[{ -Cell[6303, 208, 111, 4, 27, "Input", +Cell[6302, 208, 111, 4, 27, "Input", CellTags->"LC", CellID->92802358], -Cell[6417, 214, 585, 25, 35, "Output", +Cell[6416, 214, 585, 25, 35, "Output", CellTags->"LC"] }, Open ]], Cell[CellGroupData[{ -Cell[7039, 244, 122, 4, 27, "Input", +Cell[7038, 244, 122, 4, 27, "Input", CellTags->"LC", CellID->1961193735], -Cell[7164, 250, 422, 11, 69, "Output", +Cell[7163, 250, 422, 11, 69, "Output", CellTags->"LC"] }, Open ]], Cell[CellGroupData[{ -Cell[7623, 266, 199, 7, 27, "Input", +Cell[7622, 266, 199, 7, 27, "Input", CellTags->"LC", CellID->1694017561], -Cell[7825, 275, 629, 27, 38, "Output", +Cell[7824, 275, 629, 27, 38, "Output", CellTags->"LC"] }, Open ]], Cell[CellGroupData[{ -Cell[8491, 307, 147, 5, 27, "Input", +Cell[8490, 307, 147, 5, 27, "Input", CellTags->"LC", CellID->918021002], -Cell[8641, 314, 402, 11, 51, "Output", +Cell[8640, 314, 402, 11, 51, "Output", CellTags->"LC"] }, Open ]], Cell[CellGroupData[{ -Cell[9080, 330, 399, 14, 27, "Input", +Cell[9079, 330, 399, 14, 27, "Input", CellTags->"LC", CellID->1267409184], -Cell[9482, 346, 545, 22, 37, "Output", +Cell[9481, 346, 545, 22, 37, "Output", CellTags->"LC"] }, Open ]] }, Open ]], -Cell[10054, 372, 31, 0, 29, "SectionFooterSpacer"] +Cell[10053, 372, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10122, 377, 270, 12, 31, "SeeAlsoSection", +Cell[10121, 377, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10395, 391, 316, 13, 56, "SeeAlso"] +Cell[10394, 391, 316, 13, 56, "SeeAlso"] }, Open ]], -Cell[10726, 407, 23, 0, 41, "FooterCell"] +Cell[10725, 407, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LCD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LCD.nb index 5ba193ba0..205dff361 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LCD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LCD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14578, 521] +NotebookDataLength[ 14521, 520] NotebookOptionsPosition[ 10284, 383] -NotebookOutlinePosition[ 13233, 468] -CellTagsIndexPosition[ 13126, 462] +NotebookOutlinePosition[ 13176, 467] +CellTagsIndexPosition[ 13069, 461] WindowTitle->LCD WindowFrame->Normal*) @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$177664], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$178672], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/LCD", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->288407350], + CellID->413101153], Cell[CellGroupData[{ @@ -164,7 +164,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1781901275], + CellID->1945499528], Cell[CellGroupData[{ @@ -290,7 +290,7 @@ Cell[BoxData[ RowBox[{"p", ",", "D"}], "]"}], ",", RowBox[{"Momentum", "[", RowBox[{"q", ",", "D"}], "]"}]}], "]"}]], "Output", - ImageSize->{608, 15}, + ImageSize->{424, 33}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"LCD", @@ -383,8 +383,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"LCD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -396,7 +396,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 25.757254}", + "built" -> "{2020, 6, 20, 19, 8, 21.249212}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -417,8 +417,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -430,7 +429,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4847, 141, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->288407350]}, + CellID->413101153]}, "LCD"->{ Cell[5480, 170, 183, 6, 27, "Input", CellTags->"LCD", @@ -450,7 +449,7 @@ CellTagsIndex->{ Cell[7813, 274, 148, 5, 27, "Input", CellTags->"LCD", CellID->531209658], - Cell[7964, 281, 503, 15, 51, "Output", + Cell[7964, 281, 503, 15, 69, "Output", CellTags->"LCD"], Cell[8504, 301, 417, 14, 27, "Input", CellTags->"LCD", @@ -461,8 +460,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12250, 429}, - {"LCD", 12380, 433} + {"PrimaryExamplesSection", 12193, 428}, + {"LCD", 12323, 432} } *) (*NotebookFileOutline @@ -475,10 +474,10 @@ Cell[3907, 111, 915, 26, 105, "Usage", Cell[CellGroupData[{ Cell[4847, 141, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->288407350], + CellID->413101153], Cell[CellGroupData[{ Cell[5259, 160, 196, 6, 26, "ExampleSection", - CellID->1781901275], + CellID->1945499528], Cell[CellGroupData[{ Cell[5480, 170, 183, 6, 27, "Input", CellTags->"LCD", @@ -504,7 +503,7 @@ Cell[CellGroupData[{ Cell[7813, 274, 148, 5, 27, "Input", CellTags->"LCD", CellID->531209658], -Cell[7964, 281, 503, 15, 51, "Output", +Cell[7964, 281, 503, 15, 69, "Output", CellTags->"LCD"] }, Open ]], Cell[CellGroupData[{ @@ -518,11 +517,11 @@ Cell[8924, 317, 637, 25, 37, "Output", Cell[9588, 346, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9656, 351, 270, 12, 31, "SeeAlsoSection", +Cell[9656, 351, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[9929, 365, 313, 13, 56, "SeeAlso"] +Cell[9929, 365, 313, 13, 70, "SeeAlso"] }, Open ]], -Cell[10257, 381, 23, 0, 41, "FooterCell"] +Cell[10257, 381, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Lagrangian.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Lagrangian.nb index 765ef2a31..da3db2ba1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Lagrangian.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Lagrangian.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17358, 595] -NotebookOptionsPosition[ 12639, 453] -NotebookOutlinePosition[ 15898, 541] -CellTagsIndexPosition[ 15784, 535] +NotebookDataLength[ 17303, 594] +NotebookOptionsPosition[ 12640, 453] +NotebookOutlinePosition[ 15842, 540] +CellTagsIndexPosition[ 15728, 534] WindowTitle->Lagrangian WindowFrame->Normal*) @@ -79,7 +79,7 @@ Lagrangian.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$177220], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$178228], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Lagrangian", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->550561036], + CellID->955704647], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->612130881], + CellID->1520574417], Cell[CellGroupData[{ @@ -454,7 +454,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Lagrangian", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -466,7 +466,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 24.593071}", + "built" -> "{2020, 6, 20, 19, 8, 20.149505}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -490,8 +490,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -503,39 +502,39 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4649, 131, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->550561036]}, + CellID->955704647]}, "Lagrangian"->{ - Cell[5281, 160, 141, 4, 27, "Input", + Cell[5282, 160, 141, 4, 27, "Input", CellTags->"Lagrangian", CellID->345064330], - Cell[5425, 166, 915, 32, 56, "Output", + Cell[5426, 166, 915, 32, 56, "Output", CellTags->"Lagrangian"], - Cell[6441, 205, 142, 4, 27, "Input", + Cell[6442, 205, 142, 4, 27, "Input", CellTags->"Lagrangian", CellID->1741218479], - Cell[6586, 211, 1362, 48, 56, "Output", + Cell[6587, 211, 1362, 48, 56, "Output", CellTags->"Lagrangian"], - Cell[7985, 264, 142, 4, 27, "Input", + Cell[7986, 264, 142, 4, 27, "Input", CellTags->"Lagrangian", CellID->1557246101], - Cell[8130, 270, 1988, 70, 56, "Output", + Cell[8131, 270, 1988, 70, 56, "Output", CellTags->"Lagrangian"], - Cell[10155, 345, 141, 4, 27, "Input", + Cell[10156, 345, 141, 4, 27, "Input", CellTags->"Lagrangian", CellID->249786913], - Cell[10299, 351, 727, 26, 40, "Output", + Cell[10300, 351, 727, 26, 40, "Output", CellTags->"Lagrangian"], - Cell[11063, 382, 142, 4, 27, "Input", + Cell[11064, 382, 142, 4, 27, "Input", CellTags->"Lagrangian", CellID->1220998815], - Cell[11208, 388, 834, 30, 40, "Output", + Cell[11209, 388, 834, 30, 40, "Output", CellTags->"Lagrangian"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14824, 502}, - {"Lagrangian", 14961, 506} + {"PrimaryExamplesSection", 14768, 501}, + {"Lagrangian", 14905, 505} } *) (*NotebookFileOutline @@ -548,55 +547,55 @@ Cell[3886, 110, 738, 17, 136, "Usage", Cell[CellGroupData[{ Cell[4649, 131, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->550561036], + CellID->955704647], Cell[CellGroupData[{ -Cell[5061, 150, 195, 6, 26, "ExampleSection", - CellID->612130881], +Cell[5061, 150, 196, 6, 26, "ExampleSection", + CellID->1520574417], Cell[CellGroupData[{ -Cell[5281, 160, 141, 4, 27, "Input", +Cell[5282, 160, 141, 4, 27, "Input", CellTags->"Lagrangian", CellID->345064330], -Cell[5425, 166, 915, 32, 56, "Output", +Cell[5426, 166, 915, 32, 56, "Output", CellTags->"Lagrangian"] }, Open ]], -Cell[6355, 201, 61, 0, 32, "Notes"], +Cell[6356, 201, 61, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[6441, 205, 142, 4, 27, "Input", +Cell[6442, 205, 142, 4, 27, "Input", CellTags->"Lagrangian", CellID->1741218479], -Cell[6586, 211, 1362, 48, 56, "Output", +Cell[6587, 211, 1362, 48, 56, "Output", CellTags->"Lagrangian"] }, Open ]], Cell[CellGroupData[{ -Cell[7985, 264, 142, 4, 27, "Input", +Cell[7986, 264, 142, 4, 27, "Input", CellTags->"Lagrangian", CellID->1557246101], -Cell[8130, 270, 1988, 70, 56, "Output", +Cell[8131, 270, 1988, 70, 56, "Output", CellTags->"Lagrangian"] }, Open ]], Cell[CellGroupData[{ -Cell[10155, 345, 141, 4, 27, "Input", +Cell[10156, 345, 141, 4, 27, "Input", CellTags->"Lagrangian", CellID->249786913], -Cell[10299, 351, 727, 26, 40, "Output", +Cell[10300, 351, 727, 26, 40, "Output", CellTags->"Lagrangian"] }, Open ]], Cell[CellGroupData[{ -Cell[11063, 382, 142, 4, 27, "Input", +Cell[11064, 382, 142, 4, 27, "Input", CellTags->"Lagrangian", CellID->1220998815], -Cell[11208, 388, 834, 30, 40, "Output", +Cell[11209, 388, 834, 30, 40, "Output", CellTags->"Lagrangian"] }, Open ]] }, Open ]], -Cell[12069, 422, 31, 0, 29, "SectionFooterSpacer"] +Cell[12070, 422, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12137, 427, 270, 12, 31, "SeeAlsoSection", +Cell[12138, 427, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12410, 441, 187, 7, 56, "SeeAlso"] +Cell[12411, 441, 187, 7, 56, "SeeAlso"] }, Open ]], -Cell[12612, 451, 23, 0, 41, "FooterCell"] +Cell[12613, 451, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftPartialD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftPartialD.nb index aed5ec426..3cc62ae39 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftPartialD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftPartialD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17673, 620] +NotebookDataLength[ 17617, 619] NotebookOptionsPosition[ 12503, 458] -NotebookOutlinePosition[ 15858, 553] -CellTagsIndexPosition[ 15742, 547] +NotebookOutlinePosition[ 15802, 552] +CellTagsIndexPosition[ 15686, 546] WindowTitle->LeftPartialD WindowFrame->Normal*) @@ -85,7 +85,7 @@ LeftPartialD.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$178551], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$179559], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/LeftPartialD", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->797566762], + CellID->1412961657], Cell[CellGroupData[{ @@ -164,7 +164,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1164783384], + CellID->878487806], Cell[CellGroupData[{ @@ -459,7 +459,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"LeftPartialD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -471,7 +471,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 28.174638}", + "built" -> "{2020, 6, 20, 19, 8, 23.448537}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -492,8 +492,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -503,9 +502,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4865, 141, 387, 15, 31, "PrimaryExamplesSection", + Cell[4865, 141, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->797566762]}, + CellID->1412961657]}, "LeftPartialD"->{ Cell[5498, 170, 271, 8, 27, "Input", CellTags->"LeftPartialD", @@ -546,8 +545,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14436, 504}, - {"LeftPartialD", 14575, 508} + {"PrimaryExamplesSection", 14379, 503}, + {"LeftPartialD", 14519, 507} } *) (*NotebookFileOutline @@ -558,12 +557,12 @@ Cell[3932, 103, 289, 11, 45, "ObjectNameGrid"], Cell[4224, 116, 616, 21, 95, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4865, 141, 387, 15, 31, "PrimaryExamplesSection", +Cell[4865, 141, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->797566762], + CellID->1412961657], Cell[CellGroupData[{ -Cell[5277, 160, 196, 6, 26, "ExampleSection", - CellID->1164783384], +Cell[5278, 160, 195, 6, 26, "ExampleSection", + CellID->878487806], Cell[CellGroupData[{ Cell[5498, 170, 271, 8, 27, "Input", CellTags->"LeftPartialD", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftRightPartialD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftRightPartialD.nb index 37de2886b..b500e8f4a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftRightPartialD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftRightPartialD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18343, 633] -NotebookOptionsPosition[ 13307, 483] -NotebookOutlinePosition[ 16654, 573] -CellTagsIndexPosition[ 16533, 567] +NotebookDataLength[ 18341, 633] +NotebookOptionsPosition[ 13306, 483] +NotebookOutlinePosition[ 16653, 573] +CellTagsIndexPosition[ 16532, 567] WindowTitle->LeftRightPartialD WindowFrame->Normal*) @@ -89,7 +89,7 @@ LeftRightPartialD.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$179444], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$180452], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/LeftRightPartialD", ".html"]], None}]}]}, @@ -167,7 +167,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->679018927], + CellID->985111061], Cell[CellGroupData[{ @@ -177,7 +177,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1737714940], + CellID->364677217], Cell[CellGroupData[{ @@ -496,7 +496,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 30.726278}", + "built" -> "{2020, 6, 20, 19, 8, 25.555101}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -530,44 +530,44 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5425, 154, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->679018927]}, + CellID->985111061]}, "LeftRightPartialD"->{ - Cell[6058, 183, 149, 4, 27, "Input", + Cell[6057, 183, 149, 4, 27, "Input", CellTags->"LeftRightPartialD", CellID->538126232], - Cell[6210, 189, 344, 12, 45, "Output", + Cell[6209, 189, 344, 12, 45, "Output", CellTags->"LeftRightPartialD"], - Cell[6591, 206, 144, 4, 27, "Input", + Cell[6590, 206, 144, 4, 27, "Input", CellTags->"LeftRightPartialD", CellID->438418910], - Cell[6738, 212, 611, 22, 56, "Output", + Cell[6737, 212, 611, 22, 56, "Output", CellTags->"LeftRightPartialD"], - Cell[7386, 239, 281, 8, 27, "Input", + Cell[7385, 239, 281, 8, 27, "Input", CellTags->"LeftRightPartialD", CellID->1906170176], - Cell[7670, 249, 472, 18, 45, "Output", + Cell[7669, 249, 472, 18, 45, "Output", CellTags->"LeftRightPartialD"], - Cell[8179, 272, 142, 4, 27, "Input", + Cell[8178, 272, 142, 4, 27, "Input", CellTags->"LeftRightPartialD", CellID->521183313], - Cell[8324, 278, 931, 36, 56, "Output", + Cell[8323, 278, 931, 36, 56, "Output", CellTags->"LeftRightPartialD"], - Cell[9292, 319, 399, 11, 45, "Input", + Cell[9291, 319, 399, 11, 45, "Input", CellTags->"LeftRightPartialD", CellID->146402203], - Cell[9694, 332, 582, 23, 45, "Output", + Cell[9693, 332, 582, 23, 45, "Output", CellTags->"LeftRightPartialD"], - Cell[10313, 360, 143, 4, 27, "Input", + Cell[10312, 360, 143, 4, 27, "Input", CellTags->"LeftRightPartialD", CellID->1596263636], - Cell[10459, 366, 1351, 52, 56, "Output", + Cell[10458, 366, 1351, 52, 56, "Output", CellTags->"LeftRightPartialD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15327, 529}, - {"LeftRightPartialD", 15471, 533} + {"PrimaryExamplesSection", 15326, 529}, + {"LeftRightPartialD", 15470, 533} } *) (*NotebookFileOutline @@ -580,61 +580,61 @@ Cell[4468, 120, 932, 30, 113, "Usage", Cell[CellGroupData[{ Cell[5425, 154, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->679018927], + CellID->985111061], Cell[CellGroupData[{ -Cell[5837, 173, 196, 6, 26, "ExampleSection", - CellID->1737714940], +Cell[5837, 173, 195, 6, 26, "ExampleSection", + CellID->364677217], Cell[CellGroupData[{ -Cell[6058, 183, 149, 4, 27, "Input", +Cell[6057, 183, 149, 4, 27, "Input", CellTags->"LeftRightPartialD", CellID->538126232], -Cell[6210, 189, 344, 12, 45, "Output", +Cell[6209, 189, 344, 12, 45, "Output", CellTags->"LeftRightPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[6591, 206, 144, 4, 27, "Input", +Cell[6590, 206, 144, 4, 27, "Input", CellTags->"LeftRightPartialD", CellID->438418910], -Cell[6738, 212, 611, 22, 56, "Output", +Cell[6737, 212, 611, 22, 56, "Output", CellTags->"LeftRightPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[7386, 239, 281, 8, 27, "Input", +Cell[7385, 239, 281, 8, 27, "Input", CellTags->"LeftRightPartialD", CellID->1906170176], -Cell[7670, 249, 472, 18, 45, "Output", +Cell[7669, 249, 472, 18, 45, "Output", CellTags->"LeftRightPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[8179, 272, 142, 4, 27, "Input", +Cell[8178, 272, 142, 4, 27, "Input", CellTags->"LeftRightPartialD", CellID->521183313], -Cell[8324, 278, 931, 36, 56, "Output", +Cell[8323, 278, 931, 36, 56, "Output", CellTags->"LeftRightPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[9292, 319, 399, 11, 45, "Input", +Cell[9291, 319, 399, 11, 45, "Input", CellTags->"LeftRightPartialD", CellID->146402203], -Cell[9694, 332, 582, 23, 45, "Output", +Cell[9693, 332, 582, 23, 45, "Output", CellTags->"LeftRightPartialD"] }, Open ]], Cell[CellGroupData[{ -Cell[10313, 360, 143, 4, 27, "Input", +Cell[10312, 360, 143, 4, 27, "Input", CellTags->"LeftRightPartialD", CellID->1596263636], -Cell[10459, 366, 1351, 52, 56, "Output", +Cell[10458, 366, 1351, 52, 56, "Output", CellTags->"LeftRightPartialD"] }, Open ]] }, Open ]], -Cell[11837, 422, 31, 0, 29, "SectionFooterSpacer"] +Cell[11836, 422, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11905, 427, 270, 12, 31, "SeeAlsoSection", +Cell[11904, 427, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12178, 441, 1087, 37, 56, "SeeAlso"] +Cell[12177, 441, 1087, 37, 56, "SeeAlso"] }, Open ]], -Cell[13280, 481, 23, 0, 41, "FooterCell"] +Cell[13279, 481, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftRightPartialD2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftRightPartialD2.nb index f1cb4cd38..9d4143429 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftRightPartialD2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeftRightPartialD2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17853, 621] -NotebookOptionsPosition[ 12731, 470] -NotebookOutlinePosition[ 16153, 561] -CellTagsIndexPosition[ 16031, 555] +NotebookDataLength[ 17800, 620] +NotebookOptionsPosition[ 12732, 470] +NotebookOutlinePosition[ 16098, 560] +CellTagsIndexPosition[ 15976, 554] WindowTitle->LeftRightPartialD2 WindowFrame->Normal*) @@ -87,7 +87,7 @@ LeftRightPartialD2.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$178997], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$180005], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/LeftRightPartialD2", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->671106449], + CellID->1939299969], Cell[CellGroupData[{ @@ -175,7 +175,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->914591965], + CellID->314333988], Cell[CellGroupData[{ @@ -470,8 +470,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"LeftRightPartialD2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -483,7 +483,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 29.444730}", + "built" -> "{2020, 6, 20, 19, 8, 24.556854}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -505,8 +505,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -516,46 +515,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5315, 152, 387, 15, 31, "PrimaryExamplesSection", + Cell[5315, 152, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->671106449]}, + CellID->1939299969]}, "LeftRightPartialD2"->{ - Cell[5947, 181, 152, 4, 27, "Input", + Cell[5948, 181, 152, 4, 27, "Input", CellTags->"LeftRightPartialD2", CellID->1441499680], - Cell[6102, 187, 345, 12, 45, "Output", + Cell[6103, 187, 345, 12, 45, "Output", CellTags->"LeftRightPartialD2"], - Cell[6484, 204, 145, 4, 27, "Input", + Cell[6485, 204, 145, 4, 27, "Input", CellTags->"LeftRightPartialD2", CellID->245328226], - Cell[6632, 210, 517, 19, 45, "Output", + Cell[6633, 210, 517, 19, 45, "Output", CellTags->"LeftRightPartialD2"], - Cell[7186, 234, 283, 8, 27, "Input", + Cell[7187, 234, 283, 8, 27, "Input", CellTags->"LeftRightPartialD2", CellID->2023605728], - Cell[7472, 244, 513, 20, 45, "Output", + Cell[7473, 244, 513, 20, 45, "Output", CellTags->"LeftRightPartialD2"], - Cell[8022, 269, 144, 4, 27, "Input", + Cell[8023, 269, 144, 4, 27, "Input", CellTags->"LeftRightPartialD2", CellID->1740047024], - Cell[8169, 275, 809, 33, 46, "Output", + Cell[8170, 275, 809, 33, 46, "Output", CellTags->"LeftRightPartialD2"], - Cell[9015, 313, 402, 11, 45, "Input", + Cell[9016, 313, 402, 11, 45, "Input", CellTags->"LeftRightPartialD2", CellID->1526795536], - Cell[9420, 326, 623, 25, 45, "Output", + Cell[9421, 326, 623, 25, 45, "Output", CellTags->"LeftRightPartialD2"], - Cell[10080, 356, 143, 4, 27, "Input", + Cell[10081, 356, 143, 4, 27, "Input", CellTags->"LeftRightPartialD2", CellID->959639857], - Cell[10226, 362, 1197, 49, 40, "Output", + Cell[10227, 362, 1197, 49, 40, "Output", CellTags->"LeftRightPartialD2"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14810, 517}, - {"LeftRightPartialD2", 14955, 521} + {"PrimaryExamplesSection", 14754, 516}, + {"LeftRightPartialD2", 14900, 520} } *) (*NotebookFileOutline @@ -563,66 +562,66 @@ Notebook[{ Cell[590, 21, 3469, 82, 53, "AnchorBarGrid", CellID->1], Cell[4062, 105, 295, 11, 45, "ObjectNameGrid"], -Cell[4360, 118, 930, 30, 95, "Usage", +Cell[4360, 118, 930, 30, 113, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5315, 152, 387, 15, 31, "PrimaryExamplesSection", +Cell[5315, 152, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->671106449], + CellID->1939299969], Cell[CellGroupData[{ -Cell[5727, 171, 195, 6, 26, "ExampleSection", - CellID->914591965], +Cell[5728, 171, 195, 6, 26, "ExampleSection", + CellID->314333988], Cell[CellGroupData[{ -Cell[5947, 181, 152, 4, 27, "Input", +Cell[5948, 181, 152, 4, 27, "Input", CellTags->"LeftRightPartialD2", CellID->1441499680], -Cell[6102, 187, 345, 12, 45, "Output", +Cell[6103, 187, 345, 12, 45, "Output", CellTags->"LeftRightPartialD2"] }, Open ]], Cell[CellGroupData[{ -Cell[6484, 204, 145, 4, 27, "Input", +Cell[6485, 204, 145, 4, 27, "Input", CellTags->"LeftRightPartialD2", CellID->245328226], -Cell[6632, 210, 517, 19, 45, "Output", +Cell[6633, 210, 517, 19, 45, "Output", CellTags->"LeftRightPartialD2"] }, Open ]], Cell[CellGroupData[{ -Cell[7186, 234, 283, 8, 27, "Input", +Cell[7187, 234, 283, 8, 27, "Input", CellTags->"LeftRightPartialD2", CellID->2023605728], -Cell[7472, 244, 513, 20, 45, "Output", +Cell[7473, 244, 513, 20, 45, "Output", CellTags->"LeftRightPartialD2"] }, Open ]], Cell[CellGroupData[{ -Cell[8022, 269, 144, 4, 27, "Input", +Cell[8023, 269, 144, 4, 27, "Input", CellTags->"LeftRightPartialD2", CellID->1740047024], -Cell[8169, 275, 809, 33, 46, "Output", +Cell[8170, 275, 809, 33, 46, "Output", CellTags->"LeftRightPartialD2"] }, Open ]], Cell[CellGroupData[{ -Cell[9015, 313, 402, 11, 45, "Input", +Cell[9016, 313, 402, 11, 45, "Input", CellTags->"LeftRightPartialD2", CellID->1526795536], -Cell[9420, 326, 623, 25, 45, "Output", +Cell[9421, 326, 623, 25, 45, "Output", CellTags->"LeftRightPartialD2"] }, Open ]], Cell[CellGroupData[{ -Cell[10080, 356, 143, 4, 27, "Input", +Cell[10081, 356, 143, 4, 27, "Input", CellTags->"LeftRightPartialD2", CellID->959639857], -Cell[10226, 362, 1197, 49, 40, "Output", +Cell[10227, 362, 1197, 49, 40, "Output", CellTags->"LeftRightPartialD2"] }, Open ]] }, Open ]], -Cell[11450, 415, 31, 0, 29, "SectionFooterSpacer"] +Cell[11451, 415, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11518, 420, 270, 12, 31, "SeeAlsoSection", +Cell[11519, 420, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11791, 434, 898, 31, 56, "SeeAlso"] +Cell[11792, 434, 898, 31, 56, "SeeAlso"] }, Open ]], -Cell[12704, 468, 23, 0, 70, "FooterCell"] +Cell[12705, 468, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeviCivita.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeviCivita.nb index beb31b7d4..50ac97def 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeviCivita.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LeviCivita.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23521, 882] -NotebookOptionsPosition[ 17307, 689] -NotebookOutlinePosition[ 20806, 783] -CellTagsIndexPosition[ 20692, 777] +NotebookDataLength[ 23462, 881] +NotebookOptionsPosition[ 17306, 689] +NotebookOutlinePosition[ 20748, 782] +CellTagsIndexPosition[ 20634, 776] WindowTitle->LeviCivita WindowFrame->Normal*) @@ -80,7 +80,7 @@ LeviCivita.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$179892], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$180900], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/LeviCivita", ".html"]], None}]}]}, @@ -175,7 +175,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1571136183], + CellID->753810409], Cell["", "SectionHeaderSpacer"], @@ -222,7 +222,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->672121972], + CellID->768372068], Cell[CellGroupData[{ @@ -232,7 +232,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->596443126], + CellID->627877048], Cell[CellGroupData[{ @@ -702,7 +702,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 31.978952}", + "built" -> "{2020, 6, 20, 19, 8, 26.670175}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -727,8 +727,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -738,46 +737,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6639, 209, 387, 15, 31, "PrimaryExamplesSection", + Cell[6638, 209, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->672121972]}, + CellID->768372068]}, "LeviCivita"->{ - Cell[7271, 238, 204, 6, 27, "Input", + Cell[7270, 238, 204, 6, 27, "Input", CellTags->"LeviCivita", CellID->970809287], - Cell[7478, 246, 600, 25, 37, "Output", + Cell[7477, 246, 600, 25, 37, "Output", CellTags->"LeviCivita"], - Cell[8115, 276, 198, 6, 27, "Input", + Cell[8114, 276, 198, 6, 27, "Input", CellTags->"LeviCivita", CellID->1735126440], - Cell[8316, 284, 685, 29, 38, "Output", + Cell[8315, 284, 685, 29, 38, "Output", CellTags->"LeviCivita"], - Cell[10523, 380, 197, 6, 27, "Input", + Cell[10522, 380, 197, 6, 27, "Input", CellTags->"LeviCivita", CellID->2075117917], - Cell[10723, 388, 600, 25, 37, "Output", + Cell[10722, 388, 600, 25, 37, "Output", CellTags->"LeviCivita"], - Cell[11360, 418, 189, 6, 27, "Input", + Cell[11359, 418, 189, 6, 27, "Input", CellTags->"LeviCivita", CellID->528234025], - Cell[11552, 426, 685, 29, 38, "Output", + Cell[11551, 426, 685, 29, 38, "Output", CellTags->"LeviCivita"], - Cell[13097, 498, 197, 6, 27, "Input", + Cell[13096, 498, 197, 6, 27, "Input", CellTags->"LeviCivita", CellID->293666632], - Cell[13297, 506, 599, 25, 37, "Output", + Cell[13296, 506, 599, 25, 37, "Output", CellTags->"LeviCivita"], - Cell[13933, 536, 189, 6, 27, "Input", + Cell[13932, 536, 189, 6, 27, "Input", CellTags->"LeviCivita", CellID->19954627], - Cell[14125, 544, 572, 25, 35, "Output", + Cell[14124, 544, 572, 25, 35, "Output", CellTags->"LeviCivita"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 19574, 739}, - {"LeviCivita", 19711, 743} + {"PrimaryExamplesSection", 19516, 738}, + {"LeviCivita", 19653, 742} } *) (*NotebookFileOutline @@ -786,104 +785,104 @@ Cell[582, 21, 3075, 75, 53, "AnchorBarGrid", CellID->1], Cell[3660, 98, 287, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[3972, 113, 1269, 36, 154, "Usage", +Cell[3972, 113, 1269, 36, 155, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5266, 153, 739, 24, 31, "NotesSection", +Cell[5266, 153, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1571136183], -Cell[6008, 179, 31, 0, 70, "SectionHeaderSpacer"], -Cell[6042, 181, 107, 3, 70, "Notes", + CellID->753810409], +Cell[6007, 179, 31, 0, 70, "SectionHeaderSpacer"], +Cell[6041, 181, 107, 3, 70, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[6174, 188, 94, 2, 70, "Input"], -Cell[6271, 192, 307, 10, 37, "Output"] +Cell[6173, 188, 94, 2, 70, "Input"], +Cell[6270, 192, 307, 10, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6639, 209, 387, 15, 31, "PrimaryExamplesSection", +Cell[6638, 209, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->672121972], + CellID->768372068], Cell[CellGroupData[{ -Cell[7051, 228, 195, 6, 26, "ExampleSection", - CellID->596443126], +Cell[7050, 228, 195, 6, 26, "ExampleSection", + CellID->627877048], Cell[CellGroupData[{ -Cell[7271, 238, 204, 6, 27, "Input", +Cell[7270, 238, 204, 6, 27, "Input", CellTags->"LeviCivita", CellID->970809287], -Cell[7478, 246, 600, 25, 37, "Output", +Cell[7477, 246, 600, 25, 37, "Output", CellTags->"LeviCivita"] }, Open ]], Cell[CellGroupData[{ -Cell[8115, 276, 198, 6, 27, "Input", +Cell[8114, 276, 198, 6, 27, "Input", CellTags->"LeviCivita", CellID->1735126440], -Cell[8316, 284, 685, 29, 38, "Output", +Cell[8315, 284, 685, 29, 38, "Output", CellTags->"LeviCivita"] }, Open ]], Cell[CellGroupData[{ -Cell[9038, 318, 174, 5, 27, "Input"], -Cell[9215, 325, 617, 26, 38, "Output"] +Cell[9037, 318, 174, 5, 27, "Input"], +Cell[9214, 325, 617, 26, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9869, 356, 88, 2, 27, "Input"], -Cell[9960, 360, 390, 10, 51, "Output"] +Cell[9868, 356, 88, 2, 27, "Input"], +Cell[9959, 360, 390, 10, 51, "Output"] }, Open ]], -Cell[10365, 373, 133, 3, 48, "Notes"], +Cell[10364, 373, 133, 3, 48, "Notes"], Cell[CellGroupData[{ -Cell[10523, 380, 197, 6, 27, "Input", +Cell[10522, 380, 197, 6, 27, "Input", CellTags->"LeviCivita", CellID->2075117917], -Cell[10723, 388, 600, 25, 37, "Output", +Cell[10722, 388, 600, 25, 37, "Output", CellTags->"LeviCivita"] }, Open ]], Cell[CellGroupData[{ -Cell[11360, 418, 189, 6, 27, "Input", +Cell[11359, 418, 189, 6, 27, "Input", CellTags->"LeviCivita", CellID->528234025], -Cell[11552, 426, 685, 29, 38, "Output", +Cell[11551, 426, 685, 29, 38, "Output", CellTags->"LeviCivita"] }, Open ]], Cell[CellGroupData[{ -Cell[12274, 460, 166, 5, 27, "Input"], -Cell[12443, 467, 617, 26, 38, "Output"] +Cell[12273, 460, 166, 5, 27, "Input"], +Cell[12442, 467, 617, 26, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[13097, 498, 197, 6, 27, "Input", +Cell[13096, 498, 197, 6, 27, "Input", CellTags->"LeviCivita", CellID->293666632], -Cell[13297, 506, 599, 25, 37, "Output", +Cell[13296, 506, 599, 25, 37, "Output", CellTags->"LeviCivita"] }, Open ]], Cell[CellGroupData[{ -Cell[13933, 536, 189, 6, 27, "Input", +Cell[13932, 536, 189, 6, 27, "Input", CellTags->"LeviCivita", CellID->19954627], -Cell[14125, 544, 572, 25, 35, "Output", +Cell[14124, 544, 572, 25, 35, "Output", CellTags->"LeviCivita"] }, Open ]], Cell[CellGroupData[{ -Cell[14734, 574, 168, 5, 27, "Input"], -Cell[14905, 581, 561, 24, 37, "Output"] +Cell[14733, 574, 168, 5, 27, "Input"], +Cell[14904, 581, 561, 24, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[15503, 610, 324, 9, 27, "Input"], -Cell[15830, 621, 170, 5, 35, "Output"] +Cell[15502, 610, 324, 9, 27, "Input"], +Cell[15829, 621, 170, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[16037, 631, 374, 10, 27, "Input"], -Cell[16414, 643, 170, 5, 35, "Output"] +Cell[16036, 631, 374, 10, 27, "Input"], +Cell[16413, 643, 170, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[16611, 652, 31, 0, 29, "SectionFooterSpacer"] +Cell[16610, 652, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[16679, 657, 270, 12, 31, "SeeAlsoSection", +Cell[16678, 657, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[16952, 671, 313, 13, 56, "SeeAlso"] +Cell[16951, 671, 313, 13, 56, "SeeAlso"] }, Open ]], -Cell[17280, 687, 23, 0, 41, "FooterCell"] +Cell[17279, 687, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li2.nb index 31683b33b..83051766b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10253, 359] +NotebookDataLength[ 10196, 358] NotebookOptionsPosition[ 6730, 247] -NotebookOutlinePosition[ 9248, 320] -CellTagsIndexPosition[ 9143, 314] +NotebookOutlinePosition[ 9191, 319] +CellTagsIndexPosition[ 9086, 313] WindowTitle->Li2 WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$180338], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$181346], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Li2", ".html"]], None}]}]}, @@ -138,7 +138,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1092268077], + CellID->1505375025], Cell[CellGroupData[{ @@ -148,7 +148,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1205041486], + CellID->2057750741], Cell[CellGroupData[{ @@ -260,7 +260,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 33.140678}", + "built" -> "{2020, 6, 20, 19, 8, 27.737254}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -279,8 +279,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -292,7 +291,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4233, 125, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1092268077]}, + CellID->1505375025]}, "Li2"->{ Cell[4867, 154, 117, 4, 27, "Input", CellTags->"Li2", @@ -313,8 +312,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8558, 291}, - {"Li2", 8689, 295} + {"PrimaryExamplesSection", 8501, 290}, + {"Li2", 8632, 294} } *) (*NotebookFileOutline @@ -327,10 +326,10 @@ Cell[3832, 110, 376, 11, 85, "Usage", Cell[CellGroupData[{ Cell[4233, 125, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1092268077], + CellID->1505375025], Cell[CellGroupData[{ Cell[4646, 144, 196, 6, 26, "ExampleSection", - CellID->1205041486], + CellID->2057750741], Cell[CellGroupData[{ Cell[4867, 154, 117, 4, 27, "Input", CellTags->"Li2", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li3.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li3.nb index 5465752ec..f2b89eaf2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li3.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li3.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10962, 392] -NotebookOptionsPosition[ 7134, 268] -NotebookOutlinePosition[ 9794, 346] -CellTagsIndexPosition[ 9689, 340] +NotebookDataLength[ 10908, 391] +NotebookOptionsPosition[ 7135, 268] +NotebookOutlinePosition[ 9739, 345] +CellTagsIndexPosition[ 9634, 339] WindowTitle->Li3 WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$180773], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$181781], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Li3", ".html"]], None}]}]}, @@ -139,7 +139,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->561434554], + CellID->1678459872], Cell[CellGroupData[{ @@ -149,7 +149,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->209679981], + CellID->549591580], Cell[CellGroupData[{ @@ -281,7 +281,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 34.211482}", + "built" -> "{2020, 6, 20, 19, 8, 28.742246}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -300,8 +300,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -311,36 +310,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4236, 126, 387, 15, 31, "PrimaryExamplesSection", + Cell[4236, 126, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->561434554]}, + CellID->1678459872]}, "Li3"->{ - Cell[4868, 155, 117, 4, 27, "Input", + Cell[4869, 155, 117, 4, 27, "Input", CellTags->"Li3", CellID->750513892], - Cell[4988, 161, 220, 8, 37, "Output", + Cell[4989, 161, 220, 8, 37, "Output", CellTags->"Li3"], - Cell[5245, 174, 125, 4, 27, "Input", + Cell[5246, 174, 125, 4, 27, "Input", CellTags->"Li3", CellID->1277219612], - Cell[5373, 180, 247, 8, 51, "Output", + Cell[5374, 180, 247, 8, 51, "Output", CellTags->"Li3"], - Cell[5657, 193, 169, 6, 27, "Input", + Cell[5658, 193, 169, 6, 27, "Input", CellTags->"Li3", CellID->918353048], - Cell[5829, 201, 243, 9, 55, "Output", + Cell[5830, 201, 243, 9, 55, "Output", CellTags->"Li3"], - Cell[6109, 215, 220, 8, 53, "Input", + Cell[6110, 215, 220, 8, 53, "Input", CellTags->"Li3", CellID->85803135], - Cell[6332, 225, 220, 8, 37, "Output", + Cell[6333, 225, 220, 8, 37, "Output", CellTags->"Li3"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8963, 312}, - {"Li3", 9093, 316} + {"PrimaryExamplesSection", 8907, 311}, + {"Li3", 9038, 315} } *) (*NotebookFileOutline @@ -351,49 +350,49 @@ Cell[3549, 97, 280, 11, 45, "ObjectNameGrid"], Cell[3832, 110, 379, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4236, 126, 387, 15, 31, "PrimaryExamplesSection", +Cell[4236, 126, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->561434554], + CellID->1678459872], Cell[CellGroupData[{ -Cell[4648, 145, 195, 6, 26, "ExampleSection", - CellID->209679981], +Cell[4649, 145, 195, 6, 26, "ExampleSection", + CellID->549591580], Cell[CellGroupData[{ -Cell[4868, 155, 117, 4, 27, "Input", +Cell[4869, 155, 117, 4, 27, "Input", CellTags->"Li3", CellID->750513892], -Cell[4988, 161, 220, 8, 37, "Output", +Cell[4989, 161, 220, 8, 37, "Output", CellTags->"Li3"] }, Open ]], Cell[CellGroupData[{ -Cell[5245, 174, 125, 4, 27, "Input", +Cell[5246, 174, 125, 4, 27, "Input", CellTags->"Li3", CellID->1277219612], -Cell[5373, 180, 247, 8, 51, "Output", +Cell[5374, 180, 247, 8, 51, "Output", CellTags->"Li3"] }, Open ]], Cell[CellGroupData[{ -Cell[5657, 193, 169, 6, 27, "Input", +Cell[5658, 193, 169, 6, 27, "Input", CellTags->"Li3", CellID->918353048], -Cell[5829, 201, 243, 9, 55, "Output", +Cell[5830, 201, 243, 9, 55, "Output", CellTags->"Li3"] }, Open ]], Cell[CellGroupData[{ -Cell[6109, 215, 220, 8, 53, "Input", +Cell[6110, 215, 220, 8, 53, "Input", CellTags->"Li3", CellID->85803135], -Cell[6332, 225, 220, 8, 37, "Output", +Cell[6333, 225, 220, 8, 37, "Output", CellTags->"Li3"] }, Open ]] }, Open ]], -Cell[6579, 237, 31, 0, 29, "SectionFooterSpacer"] +Cell[6580, 237, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6647, 242, 270, 12, 31, "SeeAlsoSection", +Cell[6648, 242, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6920, 256, 172, 7, 56, "SeeAlso"] +Cell[6921, 256, 172, 7, 56, "SeeAlso"] }, Open ]], -Cell[7107, 266, 23, 0, 70, "FooterCell"] +Cell[7108, 266, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li4.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li4.nb index 3d44b3e20..97eade3b1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li4.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Li4.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8767, 304] -NotebookOptionsPosition[ 5840, 213] -NotebookOutlinePosition[ 7855, 268] -CellTagsIndexPosition[ 7771, 263] +NotebookDataLength[ 8765, 304] +NotebookOptionsPosition[ 5839, 213] +NotebookOutlinePosition[ 7854, 268] +CellTagsIndexPosition[ 7770, 263] WindowTitle->Li4 WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$181208], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$182216], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Li4", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->680588170], + CellID->313251580], Cell[CellGroupData[{ @@ -127,7 +127,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1334442938], + CellID->873198721], Cell[CellGroupData[{ @@ -226,7 +226,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 35.310056}", + "built" -> "{2020, 6, 20, 19, 8, 29.750002}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -257,12 +257,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3538, 104, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->680588170]} + CellID->313251580]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7628, 256} + {"PrimaryExamplesSection", 7627, 256} } *) (*NotebookFileOutline @@ -275,37 +275,37 @@ Cell[3127, 89, 386, 11, 85, "Usage", Cell[CellGroupData[{ Cell[3538, 104, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->680588170], + CellID->313251580], Cell[CellGroupData[{ -Cell[3950, 123, 196, 6, 26, "ExampleSection", - CellID->1334442938], +Cell[3950, 123, 195, 6, 26, "ExampleSection", + CellID->873198721], Cell[CellGroupData[{ -Cell[4171, 133, 99, 3, 27, "Input", +Cell[4170, 133, 99, 3, 27, "Input", CellID->992630456], -Cell[4273, 138, 222, 8, 37, "Output", +Cell[4272, 138, 222, 8, 37, "Output", CellID->457429502] }, Open ]], Cell[CellGroupData[{ -Cell[4532, 151, 106, 3, 27, "Input", +Cell[4531, 151, 106, 3, 27, "Input", CellID->391133913], -Cell[4641, 156, 249, 8, 51, "Output", +Cell[4640, 156, 249, 8, 51, "Output", CellID->273760835] }, Open ]], Cell[CellGroupData[{ -Cell[4927, 169, 151, 5, 27, "Input", +Cell[4926, 169, 151, 5, 27, "Input", CellID->841018092], -Cell[5081, 176, 246, 9, 55, "Output", +Cell[5080, 176, 246, 9, 55, "Output", CellID->1963138404] }, Open ]], Cell[CellGroupData[{ -Cell[5364, 190, 184, 6, 27, "Input", +Cell[5363, 190, 184, 6, 27, "Input", CellID->492560377], -Cell[5551, 198, 223, 8, 37, "Output", +Cell[5550, 198, 223, 8, 37, "Output", CellID->1636998240] }, Open ]] }, Open ]] }, Open ]], -Cell[5813, 211, 23, 0, 41, "FooterCell"] +Cell[5812, 211, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Loop.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Loop.nb index bdcfb709c..3767192a8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Loop.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Loop.nb @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$181638], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$182646], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Loop", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 36.406598}", + "built" -> "{2020, 6, 20, 19, 8, 30.741447}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LorentzIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LorentzIndex.nb index 61793611b..21d0f8c2a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LorentzIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LorentzIndex.nb @@ -10,8 +10,8 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10359, 339] -NotebookOptionsPosition[ 6880, 236] +NotebookDataLength[ 10358, 339] +NotebookOptionsPosition[ 6879, 236] NotebookOutlinePosition[ 9408, 305] CellTagsIndexPosition[ 9294, 299] WindowTitle->LorentzIndex @@ -81,7 +81,7 @@ LorentzIndex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$182080], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$183088], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/LorentzIndex", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->685723364], + CellID->1984722436], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1385024416], + CellID->99251197], Cell["This denotes a 4-dimensional Lorentz index.", "Notes"], @@ -249,7 +249,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 37.363695}", + "built" -> "{2020, 6, 20, 19, 8, 31.855653}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -280,25 +280,25 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4553, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4553, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->685723364]}, + CellID->1984722436]}, "LorentzIndex"->{ - Cell[5249, 161, 143, 4, 27, "Input", + Cell[5248, 161, 143, 4, 27, "Input", CellTags->"LorentzIndex", CellID->1526768444], - Cell[5395, 167, 200, 6, 35, "Output", + Cell[5394, 167, 200, 6, 35, "Output", CellTags->"LorentzIndex"], - Cell[5734, 182, 166, 5, 27, "Input", + Cell[5733, 182, 166, 5, 27, "Input", CellTags->"LorentzIndex", CellID->1273197083], - Cell[5903, 189, 200, 6, 35, "Output", + Cell[5902, 189, 200, 6, 35, "Output", CellTags->"LorentzIndex"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8807, 281}, + {"PrimaryExamplesSection", 8806, 281}, {"LorentzIndex", 8946, 285} } *) @@ -310,37 +310,37 @@ Cell[3714, 99, 289, 11, 45, "ObjectNameGrid"], Cell[4006, 112, 522, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4553, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4553, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->685723364], + CellID->1984722436], Cell[CellGroupData[{ -Cell[4965, 149, 196, 6, 26, "ExampleSection", - CellID->1385024416], -Cell[5164, 157, 60, 0, 32, "Notes"], +Cell[4966, 149, 194, 6, 26, "ExampleSection", + CellID->99251197], +Cell[5163, 157, 60, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[5249, 161, 143, 4, 27, "Input", +Cell[5248, 161, 143, 4, 27, "Input", CellTags->"LorentzIndex", CellID->1526768444], -Cell[5395, 167, 200, 6, 35, "Output", +Cell[5394, 167, 200, 6, 35, "Output", CellTags->"LorentzIndex"] }, Open ]], -Cell[5610, 176, 99, 2, 32, "Notes"], +Cell[5609, 176, 99, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[5734, 182, 166, 5, 27, "Input", +Cell[5733, 182, 166, 5, 27, "Input", CellTags->"LorentzIndex", CellID->1273197083], -Cell[5903, 189, 200, 6, 35, "Output", +Cell[5902, 189, 200, 6, 35, "Output", CellTags->"LorentzIndex"] }, Open ]] }, Open ]], -Cell[6130, 199, 31, 0, 29, "SectionFooterSpacer"] +Cell[6129, 199, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6198, 204, 270, 12, 31, "SeeAlsoSection", +Cell[6197, 204, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6471, 218, 367, 13, 56, "SeeAlso"] +Cell[6470, 218, 367, 13, 56, "SeeAlso"] }, Open ]], -Cell[6853, 234, 23, 0, 41, "FooterCell"] +Cell[6852, 234, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LorentzToCartesian.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LorentzToCartesian.nb index 50b6b011d..6f1e9411e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/LorentzToCartesian.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/LorentzToCartesian.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18796, 660] -NotebookOptionsPosition[ 15275, 552] -NotebookOutlinePosition[ 17493, 610] -CellTagsIndexPosition[ 17408, 605] +NotebookDataLength[ 18736, 659] +NotebookOptionsPosition[ 15274, 552] +NotebookOutlinePosition[ 17434, 609] +CellTagsIndexPosition[ 17349, 604] WindowTitle->LorentzToCartesian WindowFrame->Normal*) @@ -59,7 +59,7 @@ LorentzToCartesian.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$182514], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$183522], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/LorentzToCartesian", ".html"]], None}]}]}, @@ -130,7 +130,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->280971684], + CellID->713288073], Cell["", "SectionHeaderSpacer"], @@ -161,7 +161,7 @@ Cell[BoxData[ RowBox[{"SIS", "\[Rule]", "True"}], ",", RowBox[{"LorentzIndex", "\[Rule]", "True"}], ",", RowBox[{"SP", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{501, 72}, + ImageSize->{501, 73}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[381]=", @@ -187,7 +187,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1336889648], + CellID->107049637], Cell[CellGroupData[{ @@ -197,7 +197,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1586818607], + CellID->1088292468], Cell[CellGroupData[{ @@ -553,7 +553,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"LorentzToCartesian", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -565,7 +565,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 38.566304}", + "built" -> "{2020, 6, 20, 19, 8, 32.874122}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -586,8 +586,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -597,14 +596,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5775, 174, 388, 15, 31, "PrimaryExamplesSection", + Cell[5775, 174, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1336889648]} + CellID->107049637]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17264, 598} + {"PrimaryExamplesSection", 17206, 597} } *) (*NotebookFileOutline @@ -618,50 +617,50 @@ Cell[3227, 91, 495, 13, 102, "Usage", Cell[CellGroupData[{ Cell[3747, 108, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->280971684], + CellID->713288073], Cell[4488, 134, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4544, 138, 122, 3, 70, "Input", CellID->446069166], -Cell[4669, 143, 1045, 24, 93, "Output", +Cell[4669, 143, 1045, 24, 94, "Output", CellID->61602561] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5775, 174, 388, 15, 31, "PrimaryExamplesSection", +Cell[5775, 174, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1336889648], + CellID->107049637], Cell[CellGroupData[{ -Cell[6188, 193, 196, 6, 26, "ExampleSection", - CellID->1586818607], +Cell[6187, 193, 196, 6, 26, "ExampleSection", + CellID->1088292468], Cell[CellGroupData[{ -Cell[6409, 203, 123, 4, 27, "Input", +Cell[6408, 203, 123, 4, 27, "Input", CellID->2133361503], -Cell[6535, 209, 403, 17, 37, "Output", +Cell[6534, 209, 403, 17, 37, "Output", CellID->1369736194] }, Open ]], Cell[CellGroupData[{ -Cell[6975, 231, 110, 3, 27, "Input", +Cell[6974, 231, 110, 3, 27, "Input", CellID->151214086], -Cell[7088, 236, 893, 39, 39, "Output", +Cell[7087, 236, 893, 39, 39, "Output", CellID->263079240] }, Open ]], Cell[CellGroupData[{ -Cell[8018, 280, 176, 6, 27, "Input", +Cell[8017, 280, 176, 6, 27, "Input", CellID->2100534216], -Cell[8197, 288, 627, 27, 38, "Output", +Cell[8196, 288, 627, 27, 38, "Output", CellID->1423936308] }, Open ]], Cell[CellGroupData[{ -Cell[8861, 320, 110, 3, 27, "Input", +Cell[8860, 320, 110, 3, 27, "Input", CellID->507274850], -Cell[8974, 325, 6235, 220, 75, "Output", +Cell[8973, 325, 6235, 220, 75, "Output", CellID->354058269] }, Open ]] }, Open ]] }, Open ]], -Cell[15248, 550, 23, 0, 41, "FooterCell"] +Cell[15247, 550, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MLimit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MLimit.nb index b64956853..02086ef7a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MLimit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MLimit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7720, 250] -NotebookOptionsPosition[ 4981, 168] -NotebookOutlinePosition[ 7235, 231] -CellTagsIndexPosition[ 7127, 225] +NotebookDataLength[ 7668, 249] +NotebookOptionsPosition[ 4982, 168] +NotebookOutlinePosition[ 7182, 230] +CellTagsIndexPosition[ 7074, 224] WindowTitle->MLimit WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$184725], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$185733], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/MLimit", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->595846432], + CellID->1834770960], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2022648806], + CellID->1118423252], Cell[CellGroupData[{ @@ -169,7 +169,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"MLimit", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -181,7 +181,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 43.815787}", + "built" -> "{2020, 6, 20, 19, 8, 37.965980}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -200,8 +200,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -211,21 +210,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3589, 106, 387, 15, 31, "PrimaryExamplesSection", + Cell[3589, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->595846432]}, + CellID->1834770960]}, "MLimit"->{ - Cell[4222, 135, 503, 18, 27, "Input", + Cell[4223, 135, 503, 18, 27, "Input", CellTags->"MLimit", CellID->1100919712], - Cell[4728, 155, 187, 6, 35, "Output", + Cell[4729, 155, 187, 6, 35, "Output", CellTags->"MLimit"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 6819, 212}, - {"MLimit", 6952, 216} + {"PrimaryExamplesSection", 6765, 211}, + {"MLimit", 6899, 215} } *) (*NotebookFileOutline @@ -236,22 +235,22 @@ Cell[2846, 76, 283, 11, 45, "ObjectNameGrid"], Cell[3132, 89, 432, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3589, 106, 387, 15, 31, "PrimaryExamplesSection", +Cell[3589, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->595846432], + CellID->1834770960], Cell[CellGroupData[{ -Cell[4001, 125, 196, 6, 26, "ExampleSection", - CellID->2022648806], +Cell[4002, 125, 196, 6, 26, "ExampleSection", + CellID->1118423252], Cell[CellGroupData[{ -Cell[4222, 135, 503, 18, 27, "Input", +Cell[4223, 135, 503, 18, 27, "Input", CellTags->"MLimit", CellID->1100919712], -Cell[4728, 155, 187, 6, 35, "Output", +Cell[4729, 155, 187, 6, 35, "Output", CellTags->"MLimit"] }, Open ]] }, Open ]] }, Open ]], -Cell[4954, 166, 23, 0, 41, "FooterCell"] +Cell[4955, 166, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MT.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MT.nb index 8e60cdc30..84fa52d23 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MT.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MT.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13084, 467] +NotebookDataLength[ 13026, 466] NotebookOptionsPosition[ 8992, 332] -NotebookOutlinePosition[ 11755, 414] -CellTagsIndexPosition[ 11649, 408] +NotebookOutlinePosition[ 11697, 413] +CellTagsIndexPosition[ 11591, 407] WindowTitle->MT WindowFrame->Normal*) @@ -84,7 +84,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$187409], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$188417], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/MT", ".html"]], None}]}]}, @@ -145,7 +145,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->149447409], + CellID->84842974], Cell[CellGroupData[{ @@ -155,7 +155,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->352333591], + CellID->1007788359], Cell[CellGroupData[{ @@ -332,8 +332,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"MT", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -345,7 +345,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 50.971172}", + "built" -> "{2020, 6, 20, 19, 8, 44.500466}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -363,8 +363,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -374,9 +373,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4608, 132, 387, 15, 31, "PrimaryExamplesSection", + Cell[4608, 132, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->149447409]}, + CellID->84842974]}, "MT"->{ Cell[5240, 161, 152, 5, 27, "Input", CellTags->"MT", @@ -407,8 +406,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10788, 375}, - {"MT", 10917, 379} + {"PrimaryExamplesSection", 10731, 374}, + {"MT", 10859, 378} } *) (*NotebookFileOutline @@ -419,12 +418,12 @@ Cell[3897, 102, 279, 11, 45, "ObjectNameGrid"], Cell[4179, 115, 404, 13, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4608, 132, 387, 15, 31, "PrimaryExamplesSection", +Cell[4608, 132, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->149447409], + CellID->84842974], Cell[CellGroupData[{ -Cell[5020, 151, 195, 6, 26, "ExampleSection", - CellID->352333591], +Cell[5019, 151, 196, 6, 26, "ExampleSection", + CellID->1007788359], Cell[CellGroupData[{ Cell[5240, 161, 152, 5, 27, "Input", CellTags->"MT", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MTD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MTD.nb index eee88be16..21eeb23e7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MTD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MTD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13227, 470] +NotebookDataLength[ 13170, 469] NotebookOptionsPosition[ 9101, 335] -NotebookOutlinePosition[ 11884, 417] -CellTagsIndexPosition[ 11777, 411] +NotebookOutlinePosition[ 11827, 416] +CellTagsIndexPosition[ 11720, 410] WindowTitle->MTD WindowFrame->Normal*) @@ -84,7 +84,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$186503], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$187511], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/MTD", ".html"]], None}]}]}, @@ -145,7 +145,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1942422787], + CellID->1212598838], Cell[CellGroupData[{ @@ -155,7 +155,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1624809085], + CellID->1463954554], Cell[CellGroupData[{ @@ -335,8 +335,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{808, 840}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"MTD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -348,7 +348,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 48.745138}", + "built" -> "{2020, 6, 20, 19, 8, 42.276907}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -366,8 +366,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -379,7 +378,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4599, 132, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1942422787]}, + CellID->1212598838]}, "MTD"->{ Cell[5233, 161, 154, 5, 27, "Input", CellTags->"MTD", @@ -410,8 +409,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10902, 378}, - {"MTD", 11033, 382} + {"PrimaryExamplesSection", 10845, 377}, + {"MTD", 10976, 381} } *) (*NotebookFileOutline @@ -424,10 +423,10 @@ Cell[4169, 115, 405, 13, 84, "Usage", Cell[CellGroupData[{ Cell[4599, 132, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1942422787], + CellID->1212598838], Cell[CellGroupData[{ Cell[5012, 151, 196, 6, 26, "ExampleSection", - CellID->1624809085], + CellID->1463954554], Cell[CellGroupData[{ Cell[5233, 161, 154, 5, 27, "Input", CellTags->"MTD", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MTE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MTE.nb index ffb4a13f9..e6dad4385 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MTE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MTE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16431, 610] -NotebookOptionsPosition[ 11412, 440] -NotebookOutlinePosition[ 14488, 533] -CellTagsIndexPosition[ 14381, 527] +NotebookDataLength[ 16371, 609] +NotebookOptionsPosition[ 11411, 440] +NotebookOutlinePosition[ 14429, 532] +CellTagsIndexPosition[ 14322, 526] WindowTitle->MTE WindowFrame->Normal*) @@ -84,7 +84,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$186954], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$187962], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/MTE", ".html"]], None}]}]}, @@ -145,7 +145,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1903374112], + CellID->379911311], Cell[CellGroupData[{ @@ -155,7 +155,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1366075322], + CellID->1966409247], Cell[CellGroupData[{ @@ -453,7 +453,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 49.855256}", + "built" -> "{2020, 6, 20, 19, 8, 43.386054}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -472,8 +472,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -483,51 +482,51 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4601, 132, 388, 15, 31, "PrimaryExamplesSection", + Cell[4601, 132, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1903374112]}, + CellID->379911311]}, "MTD"->{ - Cell[5235, 161, 154, 5, 27, "Input", + Cell[5234, 161, 154, 5, 27, "Input", CellTags->"MTD", CellID->1680977301], - Cell[5392, 168, 412, 17, 39, "Output", + Cell[5391, 168, 412, 17, 39, "Output", CellTags->"MTD"], - Cell[5841, 190, 284, 9, 27, "Input", + Cell[5840, 190, 284, 9, 27, "Input", CellTags->"MTD", CellID->2085004373], - Cell[6128, 201, 207, 7, 35, "Output", + Cell[6127, 201, 207, 7, 35, "Output", CellTags->"MTD"], - Cell[7338, 254, 192, 7, 27, "Input", + Cell[7337, 254, 192, 7, 27, "Input", CellTags->"MTD", CellID->964321899], - Cell[7533, 263, 235, 7, 51, "Output", + Cell[7532, 263, 235, 7, 51, "Output", CellTags->"MTD"], - Cell[7805, 275, 153, 5, 27, "Input", + Cell[7804, 275, 153, 5, 27, "Input", CellTags->"MTD", CellID->842419980], - Cell[7961, 282, 412, 17, 39, "Output", + Cell[7960, 282, 412, 17, 39, "Output", CellTags->"MTD"], - Cell[8410, 304, 225, 8, 27, "Input", + Cell[8409, 304, 225, 8, 27, "Input", CellTags->"MTD", CellID->1887554420], - Cell[8638, 314, 463, 15, 51, "Output", + Cell[8637, 314, 463, 15, 51, "Output", CellTags->"MTD"], - Cell[9138, 334, 252, 9, 27, "Input", + Cell[9137, 334, 252, 9, 27, "Input", CellTags->"MTD", CellID->623099946], - Cell[9393, 345, 230, 7, 51, "Output", + Cell[9392, 345, 230, 7, 51, "Output", CellTags->"MTD"], - Cell[9660, 357, 148, 5, 27, "Input", + Cell[9659, 357, 148, 5, 27, "Input", CellTags->"MTD", CellID->141115701], - Cell[9811, 364, 407, 17, 37, "Output", + Cell[9810, 364, 407, 17, 37, "Output", CellTags->"MTD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13218, 484}, - {"MTD", 13349, 488} + {"PrimaryExamplesSection", 13160, 483}, + {"MTD", 13290, 487} } *) (*NotebookFileOutline @@ -538,80 +537,80 @@ Cell[3886, 102, 280, 11, 45, "ObjectNameGrid"], Cell[4169, 115, 407, 13, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4601, 132, 388, 15, 31, "PrimaryExamplesSection", +Cell[4601, 132, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1903374112], + CellID->379911311], Cell[CellGroupData[{ -Cell[5014, 151, 196, 6, 26, "ExampleSection", - CellID->1366075322], +Cell[5013, 151, 196, 6, 26, "ExampleSection", + CellID->1966409247], Cell[CellGroupData[{ -Cell[5235, 161, 154, 5, 27, "Input", +Cell[5234, 161, 154, 5, 27, "Input", CellTags->"MTD", CellID->1680977301], -Cell[5392, 168, 412, 17, 39, "Output", +Cell[5391, 168, 412, 17, 39, "Output", CellTags->"MTD"] }, Open ]], Cell[CellGroupData[{ -Cell[5841, 190, 284, 9, 27, "Input", +Cell[5840, 190, 284, 9, 27, "Input", CellTags->"MTD", CellID->2085004373], -Cell[6128, 201, 207, 7, 35, "Output", +Cell[6127, 201, 207, 7, 35, "Output", CellTags->"MTD"] }, Open ]], Cell[CellGroupData[{ -Cell[6372, 213, 265, 8, 27, "Input", +Cell[6371, 213, 265, 8, 27, "Input", CellID->1799001225], -Cell[6640, 223, 166, 5, 35, "Output"] +Cell[6639, 223, 166, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6843, 233, 266, 8, 27, "Input", +Cell[6842, 233, 266, 8, 27, "Input", CellID->1071300852], -Cell[7112, 243, 189, 6, 35, "Output"] +Cell[7111, 243, 189, 6, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[7338, 254, 192, 7, 27, "Input", +Cell[7337, 254, 192, 7, 27, "Input", CellTags->"MTD", CellID->964321899], -Cell[7533, 263, 235, 7, 51, "Output", +Cell[7532, 263, 235, 7, 51, "Output", CellTags->"MTD"] }, Open ]], Cell[CellGroupData[{ -Cell[7805, 275, 153, 5, 27, "Input", +Cell[7804, 275, 153, 5, 27, "Input", CellTags->"MTD", CellID->842419980], -Cell[7961, 282, 412, 17, 39, "Output", +Cell[7960, 282, 412, 17, 39, "Output", CellTags->"MTD"] }, Open ]], Cell[CellGroupData[{ -Cell[8410, 304, 225, 8, 27, "Input", +Cell[8409, 304, 225, 8, 27, "Input", CellTags->"MTD", CellID->1887554420], -Cell[8638, 314, 463, 15, 51, "Output", +Cell[8637, 314, 463, 15, 51, "Output", CellTags->"MTD"] }, Open ]], Cell[CellGroupData[{ -Cell[9138, 334, 252, 9, 27, "Input", +Cell[9137, 334, 252, 9, 27, "Input", CellTags->"MTD", CellID->623099946], -Cell[9393, 345, 230, 7, 51, "Output", +Cell[9392, 345, 230, 7, 51, "Output", CellTags->"MTD"] }, Open ]], Cell[CellGroupData[{ -Cell[9660, 357, 148, 5, 27, "Input", +Cell[9659, 357, 148, 5, 27, "Input", CellTags->"MTD", CellID->141115701], -Cell[9811, 364, 407, 17, 37, "Output", +Cell[9810, 364, 407, 17, 37, "Output", CellTags->"MTD"] }, Open ]] }, Open ]], -Cell[10245, 385, 31, 0, 29, "SectionFooterSpacer"] +Cell[10244, 385, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10313, 390, 270, 12, 31, "SeeAlsoSection", +Cell[10312, 390, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10586, 404, 784, 31, 56, "SeeAlso"] +Cell[10585, 404, 784, 31, 56, "SeeAlso"] }, Open ]], -Cell[11385, 438, 23, 0, 41, "FooterCell"] +Cell[11384, 438, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Mandelstam.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Mandelstam.nb index 5a60c3cbd..3e2ca6ad7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Mandelstam.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Mandelstam.nb @@ -88,7 +88,7 @@ Mandelstam.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$182951], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$183959], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Mandelstam", ".html"]], None}]}]}, @@ -207,7 +207,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 39.625434}", + "built" -> "{2020, 6, 20, 19, 8, 33.960628}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Map2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Map2.nb index cb9198aa9..e73b0c672 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Map2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Map2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11182, 396] -NotebookOptionsPosition[ 7308, 272] -NotebookOutlinePosition[ 10002, 350] -CellTagsIndexPosition[ 9896, 344] +NotebookDataLength[ 11129, 395] +NotebookOptionsPosition[ 7310, 272] +NotebookOutlinePosition[ 9947, 349] +CellTagsIndexPosition[ 9841, 343] WindowTitle->Map2 WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$183398], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$184406], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Map2", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1935818076], + CellID->1073980152], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->83404821], + CellID->2013136412], Cell[CellGroupData[{ @@ -285,7 +285,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 40.661048}", + "built" -> "{2020, 6, 20, 19, 8, 35.029126}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -304,8 +304,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -317,34 +316,34 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4322, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1935818076]}, + CellID->1073980152]}, "Map2"->{ - Cell[4954, 157, 166, 6, 27, "Input", + Cell[4956, 157, 166, 6, 27, "Input", CellTags->"Map2", CellID->194230717], - Cell[5123, 165, 286, 10, 37, "Output", + Cell[5125, 165, 286, 10, 37, "Output", CellTags->"Map2"], - Cell[5446, 180, 143, 5, 27, "Input", + Cell[5448, 180, 143, 5, 27, "Input", CellTags->"Map2", CellID->1407522381], - Cell[5592, 187, 213, 7, 37, "Output", + Cell[5594, 187, 213, 7, 37, "Output", CellTags->"Map2"], - Cell[5842, 199, 202, 7, 27, "Input", + Cell[5844, 199, 202, 7, 27, "Input", CellTags->"Map2", CellID->1867340703], - Cell[6047, 208, 275, 10, 37, "Output", + Cell[6049, 208, 275, 10, 37, "Output", CellTags->"Map2"], - Cell[6359, 223, 142, 5, 27, "Input", + Cell[6361, 223, 142, 5, 27, "Input", CellTags->"Map2", CellID->722460655], - Cell[6504, 230, 213, 7, 37, "Output", + Cell[6506, 230, 213, 7, 37, "Output", CellTags->"Map2"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9156, 316}, - {"Map2", 9288, 320} + {"PrimaryExamplesSection", 9101, 315}, + {"Map2", 9233, 319} } *) (*NotebookFileOutline @@ -357,47 +356,47 @@ Cell[3844, 110, 453, 14, 85, "Usage", Cell[CellGroupData[{ Cell[4322, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1935818076], + CellID->1073980152], Cell[CellGroupData[{ -Cell[4735, 147, 194, 6, 26, "ExampleSection", - CellID->83404821], +Cell[4735, 147, 196, 6, 26, "ExampleSection", + CellID->2013136412], Cell[CellGroupData[{ -Cell[4954, 157, 166, 6, 27, "Input", +Cell[4956, 157, 166, 6, 27, "Input", CellTags->"Map2", CellID->194230717], -Cell[5123, 165, 286, 10, 37, "Output", +Cell[5125, 165, 286, 10, 37, "Output", CellTags->"Map2"] }, Open ]], Cell[CellGroupData[{ -Cell[5446, 180, 143, 5, 27, "Input", +Cell[5448, 180, 143, 5, 27, "Input", CellTags->"Map2", CellID->1407522381], -Cell[5592, 187, 213, 7, 37, "Output", +Cell[5594, 187, 213, 7, 37, "Output", CellTags->"Map2"] }, Open ]], Cell[CellGroupData[{ -Cell[5842, 199, 202, 7, 27, "Input", +Cell[5844, 199, 202, 7, 27, "Input", CellTags->"Map2", CellID->1867340703], -Cell[6047, 208, 275, 10, 37, "Output", +Cell[6049, 208, 275, 10, 37, "Output", CellTags->"Map2"] }, Open ]], Cell[CellGroupData[{ -Cell[6359, 223, 142, 5, 27, "Input", +Cell[6361, 223, 142, 5, 27, "Input", CellTags->"Map2", CellID->722460655], -Cell[6504, 230, 213, 7, 37, "Output", +Cell[6506, 230, 213, 7, 37, "Output", CellTags->"Map2"] }, Open ]] }, Open ]], -Cell[6744, 241, 31, 0, 29, "SectionFooterSpacer"] +Cell[6746, 241, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6812, 246, 270, 12, 31, "SeeAlsoSection", +Cell[6814, 246, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7085, 260, 181, 7, 56, "SeeAlso"] +Cell[7087, 260, 181, 7, 56, "SeeAlso"] }, Open ]], -Cell[7281, 270, 23, 0, 41, "FooterCell"] +Cell[7283, 270, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MemSet.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MemSet.nb index 5e334d8a5..3939c76e7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MemSet.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MemSet.nb @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$183834], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$184842], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/MemSet", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 41.715423}", + "built" -> "{2020, 6, 20, 19, 8, 36.059154}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MetricTensor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MetricTensor.nb index 0eee126df..2e8ef22ad 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MetricTensor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MetricTensor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17097, 628] -NotebookOptionsPosition[ 12043, 467] -NotebookOutlinePosition[ 14836, 546] -CellTagsIndexPosition[ 14720, 540] +NotebookDataLength[ 17044, 627] +NotebookOptionsPosition[ 12045, 467] +NotebookOutlinePosition[ 14781, 545] +CellTagsIndexPosition[ 14665, 539] WindowTitle->MetricTensor WindowFrame->Normal*) @@ -81,7 +81,7 @@ MetricTensor.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$184282], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$185290], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/MetricTensor", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->45285396], + CellID->879066313], Cell["", "SectionHeaderSpacer"], @@ -201,7 +201,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1410517924], + CellID->1745332483], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->926168638], + CellID->1715519887], Cell[CellGroupData[{ @@ -468,7 +468,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"MetricTensor", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -480,7 +480,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 42.681959}", + "built" -> "{2020, 6, 20, 19, 8, 36.877507}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -500,8 +500,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -511,36 +510,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5905, 188, 388, 15, 31, "PrimaryExamplesSection", + Cell[5906, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1410517924]}, + CellID->1745332483]}, "MetricTensor"->{ - Cell[6538, 217, 171, 5, 27, "Input", + Cell[6540, 217, 171, 5, 27, "Input", CellTags->"MetricTensor", CellID->187143262], - Cell[6712, 224, 421, 17, 39, "Output", + Cell[6714, 224, 421, 17, 39, "Output", CellTags->"MetricTensor"], - Cell[7483, 261, 219, 6, 27, "Input", + Cell[7485, 261, 219, 6, 27, "Input", CellTags->"MetricTensor", CellID->524835668], - Cell[7705, 269, 397, 16, 39, "Output", + Cell[7707, 269, 397, 16, 39, "Output", CellTags->"MetricTensor"], - Cell[8139, 290, 154, 5, 27, "Input", + Cell[8141, 290, 154, 5, 27, "Input", CellTags->"MetricTensor", CellID->125271051], - Cell[8296, 297, 193, 6, 35, "Output", + Cell[8298, 297, 193, 6, 35, "Output", CellTags->"MetricTensor"], - Cell[8526, 308, 199, 6, 27, "Input", + Cell[8528, 308, 199, 6, 27, "Input", CellTags->"MetricTensor", CellID->1318549517], - Cell[8728, 316, 313, 9, 51, "Output", + Cell[8730, 316, 313, 9, 51, "Output", CellTags->"MetricTensor"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13909, 512}, - {"MetricTensor", 14049, 516} + {"PrimaryExamplesSection", 13854, 511}, + {"MetricTensor", 13994, 515} } *) (*NotebookFileOutline @@ -552,84 +551,84 @@ Cell[CellGroupData[{ Cell[4060, 114, 426, 13, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4511, 131, 737, 24, 31, "NotesSection", +Cell[4511, 131, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->45285396], -Cell[5251, 157, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5285, 159, 109, 3, 70, "Notes", + CellID->879066313], +Cell[5252, 157, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5286, 159, 109, 3, 70, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[5419, 166, 116, 3, 70, "Input", +Cell[5420, 166, 116, 3, 70, "Input", CellID->1215792887], -Cell[5538, 171, 306, 10, 37, "Output"] +Cell[5539, 171, 306, 10, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5905, 188, 388, 15, 31, "PrimaryExamplesSection", +Cell[5906, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1410517924], + CellID->1745332483], Cell[CellGroupData[{ -Cell[6318, 207, 195, 6, 26, "ExampleSection", - CellID->926168638], +Cell[6319, 207, 196, 6, 26, "ExampleSection", + CellID->1715519887], Cell[CellGroupData[{ -Cell[6538, 217, 171, 5, 27, "Input", +Cell[6540, 217, 171, 5, 27, "Input", CellTags->"MetricTensor", CellID->187143262], -Cell[6712, 224, 421, 17, 39, "Output", +Cell[6714, 224, 421, 17, 39, "Output", CellTags->"MetricTensor"] }, Open ]], Cell[CellGroupData[{ -Cell[7170, 246, 107, 3, 27, "Input"], -Cell[7280, 251, 166, 5, 35, "Output"] +Cell[7172, 246, 107, 3, 27, "Input"], +Cell[7282, 251, 166, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[7483, 261, 219, 6, 27, "Input", +Cell[7485, 261, 219, 6, 27, "Input", CellTags->"MetricTensor", CellID->524835668], -Cell[7705, 269, 397, 16, 39, "Output", +Cell[7707, 269, 397, 16, 39, "Output", CellTags->"MetricTensor"] }, Open ]], Cell[CellGroupData[{ -Cell[8139, 290, 154, 5, 27, "Input", +Cell[8141, 290, 154, 5, 27, "Input", CellTags->"MetricTensor", CellID->125271051], -Cell[8296, 297, 193, 6, 35, "Output", +Cell[8298, 297, 193, 6, 35, "Output", CellTags->"MetricTensor"] }, Open ]], Cell[CellGroupData[{ -Cell[8526, 308, 199, 6, 27, "Input", +Cell[8528, 308, 199, 6, 27, "Input", CellTags->"MetricTensor", CellID->1318549517], -Cell[8728, 316, 313, 9, 51, "Output", +Cell[8730, 316, 313, 9, 51, "Output", CellTags->"MetricTensor"] }, Open ]], -Cell[9056, 328, 135, 3, 48, "Notes"], +Cell[9058, 328, 135, 3, 48, "Notes"], Cell[CellGroupData[{ -Cell[9216, 335, 109, 3, 27, "Input"], -Cell[9328, 340, 389, 16, 37, "Output"] +Cell[9218, 335, 109, 3, 27, "Input"], +Cell[9330, 340, 389, 16, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9754, 361, 110, 3, 27, "Input"], -Cell[9867, 366, 365, 15, 37, "Output"] +Cell[9756, 361, 110, 3, 27, "Input"], +Cell[9869, 366, 365, 15, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10269, 386, 238, 7, 27, "Input"], -Cell[10510, 395, 169, 5, 35, "Output"] +Cell[10271, 386, 238, 7, 27, "Input"], +Cell[10512, 395, 169, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[10716, 405, 288, 8, 27, "Input"], -Cell[11007, 415, 169, 5, 35, "Output"] +Cell[10718, 405, 288, 8, 27, "Input"], +Cell[11009, 415, 169, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[11203, 424, 31, 0, 29, "SectionFooterSpacer"] +Cell[11205, 424, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11271, 429, 270, 12, 31, "SeeAlsoSection", +Cell[11273, 429, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11544, 443, 457, 19, 56, "SeeAlso"] +Cell[11546, 443, 457, 19, 56, "SeeAlso"] }, Open ]], -Cell[12016, 465, 23, 0, 41, "FooterCell"] +Cell[12018, 465, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Momentum.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Momentum.nb index c3659b320..11f63bdc1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Momentum.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Momentum.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17592, 635] -NotebookOptionsPosition[ 11406, 434] -NotebookOutlinePosition[ 15202, 544] -CellTagsIndexPosition[ 15090, 538] +NotebookDataLength[ 17533, 634] +NotebookOptionsPosition[ 11405, 434] +NotebookOutlinePosition[ 15144, 543] +CellTagsIndexPosition[ 15032, 537] WindowTitle->Momentum WindowFrame->Normal*) @@ -84,7 +84,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$186048], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$187056], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Momentum", ".html"]], None}]}]}, @@ -146,7 +146,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->945790157], + CellID->478843493], Cell[CellGroupData[{ @@ -156,7 +156,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->165659172], + CellID->15234094], Cell["This is a 4-dimensional momentum.", "Notes"], @@ -434,8 +434,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Momentum", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -447,7 +447,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 47.557806}", + "built" -> "{2020, 6, 20, 19, 8, 41.179863}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -468,8 +468,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -481,64 +480,64 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4728, 133, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->945790157]}, + CellID->478843493]}, "Momentum"->{ - Cell[5413, 164, 127, 4, 27, "Input", + Cell[5412, 164, 127, 4, 27, "Input", CellTags->"Momentum", CellID->600679238], - Cell[5543, 170, 246, 9, 37, "Output", + Cell[5542, 170, 246, 9, 37, "Output", CellTags->"Momentum"], - Cell[5945, 189, 150, 5, 27, "Input", + Cell[5944, 189, 150, 5, 27, "Input", CellTags->"Momentum", CellID->298033535], - Cell[6098, 196, 189, 6, 37, "Output", + Cell[6097, 196, 189, 6, 37, "Output", CellTags->"Momentum"], - Cell[6391, 209, 149, 5, 27, "Input", + Cell[6390, 209, 149, 5, 27, "Input", CellTags->"Momentum", CellID->22007276], - Cell[6543, 216, 189, 6, 37, "Output", + Cell[6542, 216, 189, 6, 37, "Output", CellTags->"Momentum"], - Cell[6769, 227, 146, 5, 27, "Input", + Cell[6768, 227, 146, 5, 27, "Input", CellTags->"Momentum", CellID->1076166182], - Cell[6918, 234, 267, 10, 37, "Output", + Cell[6917, 234, 267, 10, 37, "Output", CellTags->"Momentum"], - Cell[7222, 249, 128, 4, 27, "Input", + Cell[7221, 249, 128, 4, 27, "Input", CellTags->"Momentum", CellID->1156784400], - Cell[7353, 255, 228, 7, 51, "Output", + Cell[7352, 255, 228, 7, 51, "Output", CellTags->"Momentum"], - Cell[7618, 267, 261, 9, 27, "Input", + Cell[7617, 267, 261, 9, 27, "Input", CellTags->"Momentum", CellID->1010535805], - Cell[7882, 278, 524, 21, 37, "Output", + Cell[7881, 278, 524, 21, 37, "Output", CellTags->"Momentum"], - Cell[8443, 304, 127, 4, 27, "Input", + Cell[8442, 304, 127, 4, 27, "Input", CellTags->"Momentum", CellID->856207433], - Cell[8573, 310, 316, 10, 51, "Output", + Cell[8572, 310, 316, 10, 51, "Output", CellTags->"Momentum"], - Cell[8926, 325, 165, 5, 27, "Input", + Cell[8925, 325, 165, 5, 27, "Input", CellTags->"Momentum", CellID->265634009], - Cell[9094, 332, 268, 8, 51, "Output", + Cell[9093, 332, 268, 8, 51, "Output", CellTags->"Momentum"], - Cell[9399, 345, 167, 5, 27, "Input", + Cell[9398, 345, 167, 5, 27, "Input", CellTags->"Momentum", CellID->168866988], - Cell[9569, 352, 233, 7, 51, "Output", + Cell[9568, 352, 233, 7, 51, "Output", CellTags->"Momentum"], - Cell[9839, 364, 235, 8, 27, "Input", + Cell[9838, 364, 235, 8, 27, "Input", CellTags->"Momentum", CellID->1679956191], - Cell[10077, 374, 234, 7, 51, "Output", + Cell[10076, 374, 234, 7, 51, "Output", CellTags->"Momentum"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13394, 480}, - {"Momentum", 13529, 484} + {"PrimaryExamplesSection", 13336, 479}, + {"Momentum", 13471, 483} } *) (*NotebookFileOutline @@ -551,92 +550,92 @@ Cell[4161, 115, 542, 14, 102, "Usage", Cell[CellGroupData[{ Cell[4728, 133, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->945790157], + CellID->478843493], Cell[CellGroupData[{ -Cell[5140, 152, 195, 6, 26, "ExampleSection", - CellID->165659172], -Cell[5338, 160, 50, 0, 32, "Notes"], +Cell[5140, 152, 194, 6, 26, "ExampleSection", + CellID->15234094], +Cell[5337, 160, 50, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[5413, 164, 127, 4, 27, "Input", +Cell[5412, 164, 127, 4, 27, "Input", CellTags->"Momentum", CellID->600679238], -Cell[5543, 170, 246, 9, 37, "Output", +Cell[5542, 170, 246, 9, 37, "Output", CellTags->"Momentum"] }, Open ]], -Cell[5804, 182, 116, 3, 32, "Notes"], +Cell[5803, 182, 116, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[5945, 189, 150, 5, 27, "Input", +Cell[5944, 189, 150, 5, 27, "Input", CellTags->"Momentum", CellID->298033535], -Cell[6098, 196, 189, 6, 37, "Output", +Cell[6097, 196, 189, 6, 37, "Output", CellTags->"Momentum"] }, Open ]], -Cell[6302, 205, 64, 0, 32, "Notes"], +Cell[6301, 205, 64, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[6391, 209, 149, 5, 27, "Input", +Cell[6390, 209, 149, 5, 27, "Input", CellTags->"Momentum", CellID->22007276], -Cell[6543, 216, 189, 6, 37, "Output", +Cell[6542, 216, 189, 6, 37, "Output", CellTags->"Momentum"] }, Open ]], Cell[CellGroupData[{ -Cell[6769, 227, 146, 5, 27, "Input", +Cell[6768, 227, 146, 5, 27, "Input", CellTags->"Momentum", CellID->1076166182], -Cell[6918, 234, 267, 10, 37, "Output", +Cell[6917, 234, 267, 10, 37, "Output", CellTags->"Momentum"] }, Open ]], Cell[CellGroupData[{ -Cell[7222, 249, 128, 4, 27, "Input", +Cell[7221, 249, 128, 4, 27, "Input", CellTags->"Momentum", CellID->1156784400], -Cell[7353, 255, 228, 7, 51, "Output", +Cell[7352, 255, 228, 7, 51, "Output", CellTags->"Momentum"] }, Open ]], Cell[CellGroupData[{ -Cell[7618, 267, 261, 9, 27, "Input", +Cell[7617, 267, 261, 9, 27, "Input", CellTags->"Momentum", CellID->1010535805], -Cell[7882, 278, 524, 21, 37, "Output", +Cell[7881, 278, 524, 21, 37, "Output", CellTags->"Momentum"] }, Open ]], Cell[CellGroupData[{ -Cell[8443, 304, 127, 4, 27, "Input", +Cell[8442, 304, 127, 4, 27, "Input", CellTags->"Momentum", CellID->856207433], -Cell[8573, 310, 316, 10, 51, "Output", +Cell[8572, 310, 316, 10, 51, "Output", CellTags->"Momentum"] }, Open ]], Cell[CellGroupData[{ -Cell[8926, 325, 165, 5, 27, "Input", +Cell[8925, 325, 165, 5, 27, "Input", CellTags->"Momentum", CellID->265634009], -Cell[9094, 332, 268, 8, 51, "Output", +Cell[9093, 332, 268, 8, 51, "Output", CellTags->"Momentum"] }, Open ]], Cell[CellGroupData[{ -Cell[9399, 345, 167, 5, 27, "Input", +Cell[9398, 345, 167, 5, 27, "Input", CellTags->"Momentum", CellID->168866988], -Cell[9569, 352, 233, 7, 51, "Output", +Cell[9568, 352, 233, 7, 51, "Output", CellTags->"Momentum"] }, Open ]], Cell[CellGroupData[{ -Cell[9839, 364, 235, 8, 27, "Input", +Cell[9838, 364, 235, 8, 27, "Input", CellTags->"Momentum", CellID->1679956191], -Cell[10077, 374, 234, 7, 51, "Output", +Cell[10076, 374, 234, 7, 51, "Output", CellTags->"Momentum"] }, Open ]] }, Open ]], -Cell[10338, 385, 31, 0, 29, "SectionFooterSpacer"] +Cell[10337, 385, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10406, 390, 270, 12, 31, "SeeAlsoSection", +Cell[10405, 390, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10679, 404, 685, 25, 56, "SeeAlso"] +Cell[10678, 404, 685, 25, 56, "SeeAlso"] }, Open ]], -Cell[11379, 432, 23, 0, 41, "FooterCell"] +Cell[11378, 432, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MomentumCombine.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MomentumCombine.nb index df7ba2c3e..11251ac5d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MomentumCombine.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MomentumCombine.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19890, 719] -NotebookOptionsPosition[ 14094, 538] -NotebookOutlinePosition[ 17518, 633] -CellTagsIndexPosition[ 17399, 627] +NotebookDataLength[ 19836, 718] +NotebookOptionsPosition[ 14095, 538] +NotebookOutlinePosition[ 17463, 632] +CellTagsIndexPosition[ 17344, 626] WindowTitle->MomentumCombine WindowFrame->Normal*) @@ -83,7 +83,7 @@ MomentumCombine.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$185155], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$186163], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/MomentumCombine", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1214575988], + CellID->2128621040], Cell["", "SectionHeaderSpacer"], @@ -203,7 +203,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->230264059], + CellID->1632786840], Cell[CellGroupData[{ @@ -213,7 +213,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1928490421], + CellID->1747839335], Cell[CellGroupData[{ @@ -539,7 +539,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"MomentumCombine", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -551,7 +551,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 45.029284}", + "built" -> "{2020, 6, 20, 19, 8, 38.979521}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -571,8 +571,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -588,46 +587,46 @@ CellTagsIndex->{ Cell[5594, 169, 463, 14, 37, "Output", CellTags->"MomentumCombine", CellID->1656307801], - Cell[6751, 219, 320, 10, 27, "Input", + Cell[6752, 219, 320, 10, 27, "Input", CellTags->"MomentumCombine", CellID->607844623], - Cell[7074, 231, 264, 8, 51, "Output", + Cell[7075, 231, 264, 8, 51, "Output", CellTags->"MomentumCombine"], - Cell[7375, 244, 276, 9, 27, "Input", + Cell[7376, 244, 276, 9, 27, "Input", CellTags->"MomentumCombine", CellID->199069763], - Cell[7654, 255, 753, 32, 37, "Output", + Cell[7655, 255, 753, 32, 37, "Output", CellTags->"MomentumCombine"], - Cell[8444, 292, 141, 4, 27, "Input", + Cell[8445, 292, 141, 4, 27, "Input", CellTags->"MomentumCombine", CellID->316549312], - Cell[8588, 298, 594, 24, 37, "Output", + Cell[8589, 298, 594, 24, 37, "Output", CellTags->"MomentumCombine"], - Cell[9219, 327, 135, 4, 27, "Input", + Cell[9220, 327, 135, 4, 27, "Input", CellTags->"MomentumCombine", CellID->1834428785], - Cell[9357, 333, 367, 11, 51, "Output", + Cell[9358, 333, 367, 11, 51, "Output", CellTags->"MomentumCombine"], - Cell[9761, 349, 143, 4, 27, "Input", + Cell[9762, 349, 143, 4, 27, "Input", CellTags->"MomentumCombine", CellID->1175875424], - Cell[9907, 355, 663, 28, 37, "Output", + Cell[9908, 355, 663, 28, 37, "Output", CellTags->"MomentumCombine"], - Cell[10607, 388, 139, 4, 27, "Input", + Cell[10608, 388, 139, 4, 27, "Input", CellTags->"MomentumCombine", CellID->1928655829], - Cell[10749, 394, 506, 15, 69, "Output", + Cell[10750, 394, 506, 15, 69, "Output", CellTags->"MomentumCombine"]}, "PrimaryExamplesSection"->{ - Cell[6118, 190, 387, 15, 31, "PrimaryExamplesSection", + Cell[6118, 190, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->230264059]} + CellID->1632786840]} } *) (*CellTagsIndex CellTagsIndex->{ - {"MomentumCombine", 16021, 583}, - {"PrimaryExamplesSection", 17256, 620} + {"MomentumCombine", 15965, 582}, + {"PrimaryExamplesSection", 17200, 619} } *) (*NotebookFileOutline @@ -641,7 +640,7 @@ Cell[4160, 116, 460, 13, 101, "Usage", Cell[CellGroupData[{ Cell[4645, 133, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1214575988], + CellID->2128621040], Cell[5387, 159, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5443, 163, 148, 4, 70, "Input", @@ -654,73 +653,73 @@ Cell[5594, 169, 463, 14, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6118, 190, 387, 15, 31, "PrimaryExamplesSection", +Cell[6118, 190, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->230264059], + CellID->1632786840], Cell[CellGroupData[{ -Cell[6530, 209, 196, 6, 26, "ExampleSection", - CellID->1928490421], +Cell[6531, 209, 196, 6, 26, "ExampleSection", + CellID->1747839335], Cell[CellGroupData[{ -Cell[6751, 219, 320, 10, 27, "Input", +Cell[6752, 219, 320, 10, 27, "Input", CellTags->"MomentumCombine", CellID->607844623], -Cell[7074, 231, 264, 8, 51, "Output", +Cell[7075, 231, 264, 8, 51, "Output", CellTags->"MomentumCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[7375, 244, 276, 9, 27, "Input", +Cell[7376, 244, 276, 9, 27, "Input", CellTags->"MomentumCombine", CellID->199069763], -Cell[7654, 255, 753, 32, 37, "Output", +Cell[7655, 255, 753, 32, 37, "Output", CellTags->"MomentumCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[8444, 292, 141, 4, 27, "Input", +Cell[8445, 292, 141, 4, 27, "Input", CellTags->"MomentumCombine", CellID->316549312], -Cell[8588, 298, 594, 24, 37, "Output", +Cell[8589, 298, 594, 24, 37, "Output", CellTags->"MomentumCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[9219, 327, 135, 4, 27, "Input", +Cell[9220, 327, 135, 4, 27, "Input", CellTags->"MomentumCombine", CellID->1834428785], -Cell[9357, 333, 367, 11, 51, "Output", +Cell[9358, 333, 367, 11, 51, "Output", CellTags->"MomentumCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[9761, 349, 143, 4, 27, "Input", +Cell[9762, 349, 143, 4, 27, "Input", CellTags->"MomentumCombine", CellID->1175875424], -Cell[9907, 355, 663, 28, 37, "Output", +Cell[9908, 355, 663, 28, 37, "Output", CellTags->"MomentumCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[10607, 388, 139, 4, 27, "Input", +Cell[10608, 388, 139, 4, 27, "Input", CellTags->"MomentumCombine", CellID->1928655829], -Cell[10749, 394, 506, 15, 69, "Output", +Cell[10750, 394, 506, 15, 69, "Output", CellTags->"MomentumCombine"] }, Open ]], Cell[CellGroupData[{ -Cell[11292, 414, 420, 13, 45, "Input", +Cell[11293, 414, 420, 13, 45, "Input", CellID->986758311], -Cell[11715, 429, 667, 28, 37, "Output"] +Cell[11716, 429, 667, 28, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[12419, 462, 111, 3, 27, "Input", +Cell[12420, 462, 111, 3, 27, "Input", CellID->160099516], -Cell[12533, 467, 595, 24, 37, "Output"] +Cell[12534, 467, 595, 24, 37, "Output"] }, Open ]] }, Open ]], -Cell[13155, 495, 31, 0, 29, "SectionFooterSpacer"] +Cell[13156, 495, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[13223, 500, 270, 12, 31, "SeeAlsoSection", +Cell[13224, 500, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13496, 514, 556, 19, 56, "SeeAlso"] +Cell[13497, 514, 556, 19, 56, "SeeAlso"] }, Open ]], -Cell[14067, 536, 23, 0, 41, "FooterCell"] +Cell[14068, 536, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MomentumExpand.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MomentumExpand.nb index b3d31f1f2..3ffe544b3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/MomentumExpand.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/MomentumExpand.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16410, 584] -NotebookOptionsPosition[ 11229, 423] -NotebookOutlinePosition[ 14574, 517] -CellTagsIndexPosition[ 14456, 511] +NotebookDataLength[ 16348, 583] +NotebookOptionsPosition[ 11227, 423] +NotebookOutlinePosition[ 14514, 516] +CellTagsIndexPosition[ 14396, 510] WindowTitle->MomentumExpand WindowFrame->Normal*) @@ -81,7 +81,7 @@ MomentumExpand.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$185599], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$186607], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/MomentumExpand", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1642036370], + CellID->223417773], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1027830822], + CellID->898264850], Cell[CellGroupData[{ @@ -423,8 +423,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"MomentumExpand", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -436,7 +436,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 46.307170}", + "built" -> "{2020, 6, 20, 19, 8, 40.072838}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -456,8 +456,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -467,51 +466,51 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4492, 129, 388, 15, 31, "PrimaryExamplesSection", + Cell[4492, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1642036370]}, + CellID->223417773]}, "MomentumExpand"->{ - Cell[5126, 158, 236, 7, 27, "Input", + Cell[5124, 158, 236, 7, 27, "Input", CellTags->"MomentumExpand", CellID->2119019213], - Cell[5365, 167, 274, 8, 51, "Output", + Cell[5363, 167, 274, 8, 51, "Output", CellTags->"MomentumExpand"], - Cell[5676, 180, 185, 6, 27, "Input", + Cell[5674, 180, 185, 6, 27, "Input", CellTags->"MomentumExpand", CellID->840853851], - Cell[5864, 188, 696, 29, 37, "Output", + Cell[5862, 188, 696, 29, 37, "Output", CellTags->"MomentumExpand"], - Cell[6597, 222, 133, 4, 27, "Input", + Cell[6595, 222, 133, 4, 27, "Input", CellTags->"MomentumExpand", CellID->422127778], - Cell[6733, 228, 332, 10, 51, "Output", + Cell[6731, 228, 332, 10, 51, "Output", CellTags->"MomentumExpand"], - Cell[7102, 243, 229, 7, 27, "Input", + Cell[7100, 243, 229, 7, 27, "Input", CellTags->"MomentumExpand", CellID->1994358378], - Cell[7334, 252, 696, 29, 37, "Output", + Cell[7332, 252, 696, 29, 37, "Output", CellTags->"MomentumExpand"], - Cell[8067, 286, 134, 4, 27, "Input", + Cell[8065, 286, 134, 4, 27, "Input", CellTags->"MomentumExpand", CellID->1059717092], - Cell[8204, 292, 369, 11, 51, "Output", + Cell[8202, 292, 369, 11, 51, "Output", CellTags->"MomentumExpand"], - Cell[8610, 308, 253, 8, 27, "Input", + Cell[8608, 308, 253, 8, 27, "Input", CellTags->"MomentumExpand", CellID->242711247], - Cell[8866, 318, 928, 39, 37, "Output", + Cell[8864, 318, 928, 39, 37, "Output", CellTags->"MomentumExpand"], - Cell[9831, 362, 133, 4, 27, "Input", + Cell[9829, 362, 133, 4, 27, "Input", CellTags->"MomentumExpand", CellID->277317176], - Cell[9967, 368, 452, 14, 51, "Output", + Cell[9965, 368, 452, 14, 51, "Output", CellTags->"MomentumExpand"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13126, 468}, - {"MomentumExpand", 13268, 472} + {"PrimaryExamplesSection", 13067, 467}, + {"MomentumExpand", 13208, 471} } *) (*NotebookFileOutline @@ -522,70 +521,70 @@ Cell[3746, 99, 291, 11, 45, "ObjectNameGrid"], Cell[4040, 112, 427, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4492, 129, 388, 15, 31, "PrimaryExamplesSection", +Cell[4492, 129, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1642036370], + CellID->223417773], Cell[CellGroupData[{ -Cell[4905, 148, 196, 6, 26, "ExampleSection", - CellID->1027830822], +Cell[4904, 148, 195, 6, 26, "ExampleSection", + CellID->898264850], Cell[CellGroupData[{ -Cell[5126, 158, 236, 7, 27, "Input", +Cell[5124, 158, 236, 7, 27, "Input", CellTags->"MomentumExpand", CellID->2119019213], -Cell[5365, 167, 274, 8, 51, "Output", +Cell[5363, 167, 274, 8, 51, "Output", CellTags->"MomentumExpand"] }, Open ]], Cell[CellGroupData[{ -Cell[5676, 180, 185, 6, 27, "Input", +Cell[5674, 180, 185, 6, 27, "Input", CellTags->"MomentumExpand", CellID->840853851], -Cell[5864, 188, 696, 29, 37, "Output", +Cell[5862, 188, 696, 29, 37, "Output", CellTags->"MomentumExpand"] }, Open ]], Cell[CellGroupData[{ -Cell[6597, 222, 133, 4, 27, "Input", +Cell[6595, 222, 133, 4, 27, "Input", CellTags->"MomentumExpand", CellID->422127778], -Cell[6733, 228, 332, 10, 51, "Output", +Cell[6731, 228, 332, 10, 51, "Output", CellTags->"MomentumExpand"] }, Open ]], Cell[CellGroupData[{ -Cell[7102, 243, 229, 7, 27, "Input", +Cell[7100, 243, 229, 7, 27, "Input", CellTags->"MomentumExpand", CellID->1994358378], -Cell[7334, 252, 696, 29, 37, "Output", +Cell[7332, 252, 696, 29, 37, "Output", CellTags->"MomentumExpand"] }, Open ]], Cell[CellGroupData[{ -Cell[8067, 286, 134, 4, 27, "Input", +Cell[8065, 286, 134, 4, 27, "Input", CellTags->"MomentumExpand", CellID->1059717092], -Cell[8204, 292, 369, 11, 51, "Output", +Cell[8202, 292, 369, 11, 51, "Output", CellTags->"MomentumExpand"] }, Open ]], Cell[CellGroupData[{ -Cell[8610, 308, 253, 8, 27, "Input", +Cell[8608, 308, 253, 8, 27, "Input", CellTags->"MomentumExpand", CellID->242711247], -Cell[8866, 318, 928, 39, 37, "Output", +Cell[8864, 318, 928, 39, 37, "Output", CellTags->"MomentumExpand"] }, Open ]], Cell[CellGroupData[{ -Cell[9831, 362, 133, 4, 27, "Input", +Cell[9829, 362, 133, 4, 27, "Input", CellTags->"MomentumExpand", CellID->277317176], -Cell[9967, 368, 452, 14, 51, "Output", +Cell[9965, 368, 452, 14, 51, "Output", CellTags->"MomentumExpand"] }, Open ]] }, Open ]], -Cell[10446, 386, 31, 0, 29, "SectionFooterSpacer"] +Cell[10444, 386, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10514, 391, 270, 12, 31, "SeeAlsoSection", +Cell[10512, 391, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10787, 405, 400, 13, 56, "SeeAlso"] +Cell[10785, 405, 400, 13, 56, "SeeAlso"] }, Open ]], -Cell[11202, 421, 23, 0, 70, "FooterCell"] +Cell[11200, 421, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NPointTo4Point.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NPointTo4Point.nb index 8cebfa16c..bbce93e24 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NPointTo4Point.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NPointTo4Point.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 380362, 6551] -NotebookOptionsPosition[ 376857, 6444] -NotebookOutlinePosition[ 379140, 6506] -CellTagsIndexPosition[ 379016, 6500] +NotebookDataLength[ 382140, 6580] +NotebookOptionsPosition[ 378635, 6473] +NotebookOutlinePosition[ 380917, 6535] +CellTagsIndexPosition[ 380793, 6529] WindowTitle->NPointTo4Point WindowFrame->Normal*) @@ -59,7 +59,7 @@ NPointTo4Point.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$190524], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$191532], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/NPointTo4Point", ".html"]], None}]}]}, @@ -130,7 +130,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->520539732], + CellID->1873892205], Cell["", "SectionHeaderSpacer"], @@ -178,7 +178,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2035077065], + CellID->308361647], Cell[CellGroupData[{ @@ -188,7 +188,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->100727435], + CellID->1411963305], Cell[BoxData[ RowBox[{ @@ -499,5929 +499,5958 @@ fictitious masses!"], Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJzsvXtcFOX7/5+/3x/90nqXGanYViAICoJKvsU4pVaS2Inymwfo96A8RAJq -ngqtdx99+/WAnAqzL3hIRVLEfiYPUcrQEETQUBEVJUAQFpDDsgvL7uzuzP7Y -ZXfZw8zszOwss0PX848etste87qv67rvueeemfty+WRV+PL/67HHHlv7//T9 -Jzxq46wvvoj66oNn+v5nQdza6BVxy5a+Fbdu2YplX/h/8n/3fXj/yccee6Xv -7zX/VgMAAAAAANgBtKs0cfn8gIkuUxbvuS3FHNyso8FuMyEWAAmQHvSQN/x2 -slKCkX7CwAgwSMjqMg/8JUbVSF1G8PiwApFjm3U02G0mxAIgAdKDDlj3jeQv -jjcqyD5hYAQYPDBVr0o7KZBejwtYWtbt2GYdDXabCbEASID0oIGi/uDH/62Q -kn7CwAj7YEq4JrOC9NauZek1cp6YJYGTWLPbTIjFIMMXnf0MmfSwI7Kq7e/8 -z20Z6SeaD+tObvsmMX3/D9tXR3150vz6CPcn1kGaCo78cqfHWkphiLAoY03o -K+8VddE9AiHK5pyFUyNKJf3/h4qv52QVtyltlIr1Vh+Jmz3B6cmRLoErD93v -tb2vyGqPbYwMC5r0gmD60sx6hFQq1l2Zta+wXcXoQKioOHHl+uSDB5LXrUy6 -LEJZMjsAF7G2s/dIwg2xMIdOLLjUqYPu+IAni6/p4SjIq3cGv2eyPGn5iVqt -ajo6x2/9rd6+f2Kd59/2/X+vdpMboYCy5dfVH2dQOMVj8keNwqtr3Ma+WchW -7imFJ5cGOgkW6nOvj97bKRFfne/AjStFqb13klbtudKKKDqu7XlnzNO+u6oR -22TK6499f66xz4iq9fTCF10//auHUComq88/+Wdr35wB7amvltBMT7T97BLv -t3Ja+n6maj4x1zviXDvKglkDnMTa3t4jDDfEwgIaseBUp/7Y9MYHXHiaHo4D -+ujUnKmrbkrJPulD2ZAxfdyr31f3JYqy8afX/v31HRmpEQoHbj8b4b/SKPbk -yO/9d9I4tnJP0ZizKeVMwjQ349zrO+kWRMyILhZbzNKoSlW0XDjfrMs/6Y0Y -13FvF4ltE4oqpLp1CnnVlhlz9j5QEEhVNGZFerh6ePUxyTtoc2UvveOomjID -xk0/+FA7L+yLtd+4oJ+FKlpmVa25K2LL8H3EUazt7D2icHMfCzIcPRYc69RC -c3wgMMLL9HAkZLe/8pm2/b6c7BMNaOeFNb6jXnr3P3u3rdl46I7pM4r4PyFF -Jfw5xHNRiXHqod2Vx+LDA0O+TFwX8eYUgYt/dNYDg0nauUdsTdFwPD69Slz3 -g59p7vUl3+9hnvPzO8ySj65ULd1XoybO/LGe6qMh5AZR8bW0JeEpVQPzAQKp -xCDCgrTI4FeXHdyXuCEyxN0n4qfS3L1bYhf4u726tlDUVbLAeYzhTNp1KfT5 -cYtK6d1OVTUefmM+/qUzh7HWfmuz91gOt91jQQJfYsGj8WEopYdDIbny0fhp -39cpyD7R0Vu5I8jzmeFOwfHnWk0XXgl/Qkx36UK3ad/Vmv4E6zgX9LxLrGZq -omzK/mCs0+zjzbpLU7Lck9XmpKYXWVxt41tDHmTG76+WqRUPLHJPLbv7tY/X -FxVmUw66UjXfigo/n7O2qAtv8KOltg9VV/nxbStCPZ4a7hKV16b/Gb5UMqQV -q92cQ0+1omqsLTfESRD1RyeqVtan+730VkHd+ZBRzoYUl5QsGDNq9kV6c1CS -cxNnsVaz5j3m4cbFzrEggS+x4NH4QC5Mzav0cCjERWEv+f2feiXZJxqQhp8+ -fue7u91tf25/a8zIqV+bLODh/kQpPPHJ3BAz5sUU94dIdHGWYPqRJrN86br4 -mrNPSq32SlhS8pHgZf26NFnuKZuOzhV4Rpf3mH+BY62j5lD8oVrNpAYv95Ca -pKlui81nIXSlqlHR5e1r9lfhPwlBR63R32CS0vXuo0Ny2zAyqWT0Vm7wdOn/ -haTkw5cmbtYsy2KPTgeM+/fR+8Ufjh09Xz8ZE1+aN5rqZGwgyjM9R47yDTCN -cj8cxZpV7zENNz72jgVej+uHL7Hg0fhgpcm8Sg+HQlLygaufYfUX/xO1xlsb -facn1Wh8j3X9+cl49+jrUis/sXLcy+Gufj+Y/8Q4xD3lyyd4f3NXd/XPZD3Z -0trNWwmv+U721TJJMPzxZ9x9Zq26YUhaedUWn4kxN8zum9GTivVWZ+3cf5P+ -K8jEbe+n59qnPm+cacfIpJJBkvCZDfWH/Z0Ni9gPD04fF3BUSO9mKsl1Ezex -Ztd77IbbzrEggS+x4NH4QCaMb+nhUPRWrPF+pf+kQ/iJWjNjSP73pBX9swjk -790z/BP+tvYTcpCaRD+vWPMwa0I8ebfWtKIuLTBw+z39uq383lZGuYdvTa25 -jbjv3+5m8yLJlUUeAVnmkaYjFXl4Ojm9rEv74AzaVXnqrJCyU/AMYrLmB22I -NrGR2h/f/WxgJQRfKhnmCb/JKOGbkEe5H3mHaVYR1GjrqfmTF+e1oVYtmkBy -buIq1mx6j91w2zkWJPAlFjwaH4hN8S89HAqV8Giw3ybjp+4sP9GA9dzO+Px/ -rfif7zL27vpy44HbJu8c4P+EHPn9bf4B5rcH+0LsNGbehh2pacnfrtp8Qn9H -UdF28+zO4GdHuK/NvlIjpRwJAmv94OSe/N42/zn7GixeYqAqVdWWF+3xxLDH -dAwb7mNyBqevFhNdWjHF2SM0NuHA0czD+XUyg9OJpBKBIc2XUoOffcZvxx91 -HTX5//F6amTA7gsN7beyo13+9VJU1nUx0lmY8Pn6lIM/pW6MSSzqpD0TIzk3 -cRRr9ryHb59puO0fCzL4EgsejQ/4pviZHg5Fb+WXQZFXJKSfMDBiHVRUuPH9 -nabPOhpfGtsOPWuYpGxT+NbybpzLb/tLpWeQRKpj4lCxZuQ91sPNGXyJhUPp -VFtJm6GTHg5Fz19r5iWYPP9t+QkDI1SQN+SmpF9oGZgbaUNMb3GQBDrW5A15 -aam/NRPeMrOzVDoGrUl1TBwl1gy9x3q4uYQvsXAUnWqrUodUejgQvbf/d3hC -lZz0EwZGqIEh7R39y9BqlaQiO278iOde351XIbb5QpWeNVTWKkKsTKTtJpWe -QSpSHRNHiDUj77Eebu7hSywcQac1qUMwPRwGVVv+hi9+N76jZvkJAyMAAAAA -YANo19UDP90wftLR8hMGRgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAIY2aFdp4vL5ARNdpizec1sKr1UAgwqkHwAAeMjqMg/8JUbVSF1G -8Pgwgh1wAcA+QPoBAIALpupVaWer0utxAUvLhmbJbMBRgfQDCMCUvLmK5pFU -PiK9tWtZeg39XSaZw6OA8kgqTxn89ANYBOutPhI3e4LTkyNdAlceuk9QORlp -Kjjyy50ea30JQ4RFGWtCX3mviFaNMxrCUPH1nKziNpLKQxxIVctqj22MDAua -9IJg+tLMeoQ9ndSiY2+ppKCi4sSV65MPHkhetzLpsshoP0msuzJrX2G7rZt/ -Qu5RQdmcs3BqhL7cEqQfa+kHcEXvnaRVe660IoqOa3veGfO0765qy23ulS2/ -rv44g8L0A5M/ahReXeM2lmb9TXrCem+nRHx1vgM35ziRKq8/9v25xj55qtbT -C190/fSvHrZ0UomOvaWSg7afXeL9Vk5L309VzSfmekeca+8fHjBZff7JP1sV -fX/SU18tYTpCQO5RQik8uTTQSWBcChDSj4X0A7hD0XLhfLMu4aQ3YlzHvV0k -NvuTvvBH+K8spVo3UX7vv7RrQ9MUhnUWRMyILhZbzOK4kapGFVLd6oy8asuM -OXsfKFjSSSE69pZqBVVTZsC46Qcfame9yoYMv3FBP2tKdisasyI9XD28+pjk -HbTZtECemYnW3BWxZfi+gNyjJrgxZ1PKmYRpbiZlaiH9bE0/wFHovho1caZ5 -EWi1SvhziOeiEuPgod2Vx+LDA0O+TFwX8eYUgYt/dNZAOWfanY7UGr4wrPP3 -MM/5+R1mqcyxVFR8LW1JeEqVjG2d+E4YFKlqNSIsSIsMfnXZwX2JGyJD3H0i -firN3bsldoG/26trC0VdJQucxxiGrK5Loc+PW1RK79YzSS17yD0q1hQNx+PT -q8R1P/iZnpsg/ahAkn6Ag4CJCj+fs7aoyzw7uksXuk37rtY0KbGOc0HPu8Rq -JjrKpuwPxjrNPt6su2wm63Sy2pzU9CKLa3cSawTCZHe/9vH6osJsOsSlVFVX -+fFtK0I9nhruEpXXpv8ZOzoJnDAYUjVIK1a7OYeeakXVWFtuiJMg6o9OVK2s -T/d76a2CuvMho5wNw4GkZMGYUbMv0rsYIBkcIPesW0MeZMbvr5apFQ8szk2Q -fhSAc5Ojg4oub1+zvwrnZqfo4izB9CNNZqmnLcGcUqu94JeUfCR4Wb90TNbp -lE1H5wo8o8t7zL8gtkYgDKlJmuq22HyGxLHUPjBJ6Xr30SG5bRibOkmiY2+p -GnorN3i69H8jKfnwpYmb7/TNd7FHpwPG/fvo/eIPx46er5+4ii/NG0114qoU -nvhkboiGmZ4jR/kGaP85L6bYePyD3LNmraPmUPyhWs0VCd65CdKPECrpB3AP -1ludtXP/TfyiiJLL4a5+Pzwwu5g3Trye8uUTvL+5q7tAZ7KQTmSNUJi8aovP -xJgbUseRqqfn2qc+b5xpx9jTSRode0vVQDI4ZDbUH/Z3Niz4Pzw4fVzAUSG9 -G88kE1fIPSvWbt5KeM13sq+WSYLhjz/j7jNr1Q3DKQDSzzpw3eTAIA9PJ6eX -dWkfb0G7Kk+dFZo8jIPUJPp5xZonjSbxJu/+W/OXirq0wMDt9/SryfJ7Wxl1 -OktrJMIkVxZ5BGSZZyFXUjFZ84M2RNvJkNof3/1sYKXCdp1WomNvqRrMB4dN -RoNDE/Io9yPvMM2KixptPTV/8uK8NtTSBBkkgwPkHkVras2TAPv+7W523QTp -Zx04Nzkqqra8aI8nhj2mY9hwn4S/zbJPfn+bf4D5XdC+xHMaM2/DjtS05G9X -bT6hv8+paLt5dmfwsyPc12ZfqZFSzhIca6TC5Pe2+c/Z12DxSgQ3UjHRpRVT -nD1CYxMOHM08nF8nM0wxbdVJITr2loohzZdSg599xm/HH3UdNfn/8XpqZMDu -Cw3tt7KjXf71UlTWdTHSWZjw+fqUgz+lboxJLOqk/bQu2eAAuUfBWj845yZI -PwrAuYnPoKLCje/vNH0O0/iC3XboWcMkZZvCt5Z346wyOJRUTnXSM0gilVsc -KqBq/uSeGtIP+Gcgb8hNSb/QMjDT0iZeUg2bnY6iNXlDXlrqb82ED7M6ilSO -ddIxaE0qtzhKQNWcx5RHUukYdOz0AxwfDGnv6F8pVqskFdlx40c89/ruvAqx -zW9c07OGylpFiJX5lSNI5VQn+1K5xRECquZP7nEtlZ5Bx08/AAAAAAAAAAAA -AAAAAAAAAAAAAAAAYOiDdpUmLp8fMNFlyuI9t6VD9jb2P6SZ5IATAADgCbK6 -zAN/iVE1UpcRPD5syL62+A9pJjngBAAA+AKm6lVpJ9DS63EBS8volSTgD/+Q -ZpIDTgD4A6bkx4U9X3TyF+mtXcvSKZR5ZQ9OYjr4zXRAwAkAFyBNBUd+udNj -rdtjiLAoY03oK+8VsVCsU1Z7bGNkWNCkFwTTl2bWa94dR8XXc7KK2yx21OJW -pw5lc87CqRH6zcpYkor1Vh+Jmz3B6cmRLoErD93HL0FACyZeJQUVFSeuXJ98 -8EDyupVJl0VGO79h3ZVZ+wrbbX1P09Fzz1ozOQq0DrppSYrdYw0AtFC2/Lr6 -4wwKMyJM/qhReHWN21gWCknL6499f64R0RREPr3wRVd9YZfe2ykRX523qFLG -nU79sYUnlwY6CYw30mRBau+dpFV7rrQiio5re94Z87Tvrmob94th4FVy0Paz -S7zfymnp+6mq+cRc74hz7f0jFiarzz/5Z6ui70966qslTActR889a83kKtD6 -w9NLS3LsHWsAoEdfRkb4rzTdWJ8EJkVncA+rkOpWZ+RVW2bM2auvJYN1FkTM -iNaUynQMnVoUjTmbUs4kTDMt3GazVEXLhfPNukFKeiPGdZyhtDRTaHvVCqqm -zIBxhuI4DRl+44J+1hQxUDRmRXq4enj1Mck7aHMlTq1SSnIdPPesNZO7QOvk -0UpLK7AQa1Vr7orYMqrhBABSVMKfQzwXlRjnE9pdeSw+PDDky8R1EW9OEbj4 -R2cN7MVPe3wgtaZGxdfSloSnVA2UHMM6fw/znJ/fYda1ONSpaDgen14lrrMo -KsqSVC3dV6MmzjQvWsBErfZbql5VqxFhQVpk8KvLDu5L3BAZ4u4T8VNp7t4t -sQv83V5dWyjqKlngPMYwkHZdCn2ealFRKvAl99jSr4W1QNNNy0GINRSbAFik -u3Sh27Tvak27CtZxLuh5l1jN3EvZlP3BWKfZx5t1V/Jk44OsNic1vchiOYHQ -mqqr/Pi2FaEeTw13iRooMSa7+7WP1xcVZtMzznQiDzLj91fLcAtesyNV862o -8PM5a4twq0Hb06sapBWr3ZxDNbXZsLbcECdB1B+dqFpZn+730lsFdedDRjkb -RihJyYIxo2ZfZO0eHl9yjy39ahYDTT8tNdg51nBuAlhEdHGWYPqRJrMOYVx4 -RVLykeBl/Zo82figbDo6V+AZXd5j/gWxNQ2YpHS9++iQ3DZdf0Vqkqa6LTaf -sXGks6PmUPyhWs1EFW8QYEeqGhVd3r5mfxX+DXK7elUDScHro/eLPxw7er5+ -Li2+NG801bm0Unjik7khZsyLKTYelfmSe0RwF2gmaanB3rGe6TlylG8AXqwB -gC6Sy+Gufj88MFtiMO4OPeXLJ3h/c1e38sFkzZ/YWj891z71eeNMuy6T5VVb -fCbGmNeL5kbnzVsJr/lO9tUySTD88WfcfWatumEYPdiQivVWZ+3cf1NCux+z -4VUNJONVZkP9YX9nwz2Ihwenjws4ilc0mxl8yT129LMYaEZpqcHOsYbrJoBF -kJpEP69Y8zzWdIfJu7XVlxV1aYGB2+/pF83l97YyGh/MrWGy5gdt/TVbkNof -3/1sYF1FcmWRR0CWea/gSqcBnILXLEhFHp5OTi/r0j4PhXZVnjorpPwAFxte -1WA+Xm0yGq+akEe5H3mHaRaB1GjrqfmTF+e1Ua4fbhW+5B4b+lkOtAHqaanB -zrGGcxPAJvL72/wDzO/N9nUHpzHzNuxITUv+dtXmE/rbuYq2m2d3Bj87wn1t -9pUaKeXExbGGiS6tmOLsERqbcOBo5uH8OplhNim/t81/zr4Gi1c0uNE5AM4g -YKtUVVtetMcTwx7TMWy4T8Lf1J8tZsWrGNJ8KTX42Wf8dvxR11GT/x+vp0YG -7L7Q0H4rO9rlXy9FZV0XI52FCZ+vTzn4U+rGmMSiTlYfIOZL7tmqn/VAD0Aj -Le0fazg3AayCigo3vr/T9NFQ42UE26FhDZOUbQrfWt6Ns/DhUDrVHEulZ5BE -Krc4VEwZeMnRAq124FgDAAPkDbkp6RdaBuZ/2u6QVMPm+EDFmrwhLy31t2bC -52sdRaeac6l0DFqTyi2OElOmXnKgQKsdPdYAwAAMae/oX4JXqyQV2XHjRzz3 -+u68CrHNazg0rKGyVhFiZb7nCDq5lkrPIBWp3OIIMbXFSw4SaDUfYg0AAAAA -AAAAAAAAAAAAAAAAAAAAAAAAjgvaVZq4fH7ARJcpi/fclsINeGBQgfQDAAAP -WV3mgb/EqBqpywgeHwYvXAKDCqQfAAC4YKpelXa2Kr0eF7C0jLXCGQBAAUg/ -AA9MyZtLaB5J5SnSW7uWpVMoXMseEFPAwOCnHzC4IE0FR36502Otz2OIsChj -Tegr7xXZXsMH660+Ejd7gtOTI10CVx66r6sbgIqv52QVt5HsaMaBVLWs9tjG -yLCgSS8Ipi/NrEfY04nvBBZQNucsnBqh32bNulpSUFFx4sr1yQcPJK9bmXRZ -ZLSXHdZdmbWvsN3Wl0whpkNFqg5+pR/gsChbfl39cQaFuQcmf9QovLrGbSwL -dbF77ySt2nOlFVF0XNvzzpinfXdV6/dk6b2dEvHVeYsSa9xJldcf+/5cI6Ip -OX164Yuu+nI8LOgkdoJtKIUnlwY6CYy3ACVTSw7afnaJ91s5LX0/VTWfmOsd -ca69f3jAZPX5J/9sVfT9SU99tYTpCAExHTJS9YfnU/oBjktf7CP8V5pusk8C -kxo6OChaLpxv1vUE6Y0Y13GGYtCamtIFETOiNXU+HUKqGlVIdatI8qotM+bs -1RfssVknmRNsQNGYsynlTMI005JzhGqtoGrKDBhnKOvTkOE3LuhnTfkFRWNW -pIerh1cfk7yDNleS1IpVteauiC3DdwfEdAhJ7TfLp/QDHBiV8OcQz0UlxpFD -uyuPxYcHhnyZuC7izSkCF//orIF9+WkPDqTWtHRfjZo407jSANb5e5jn/PwO -szzmWCoqvpa2JDylaqA0HUs68Z3AVKqi4Xh8epW4zqIcKoFatRoRFqRFBr+6 -7OC+xA2RIe4+ET+V5u7dErvA3+3VtYWirpIFzmMMo1bXpdDnqZZDNUBSOgFi -OsSk8iv9AEemu3Sh27Tvak2TEus4F/S8S6xmlqNsyv5grNPs4826a2aywUFW -m5OaXmRx4U5iTfOtqPDzOWuLTOo3y+5+7eP1RYXZXIhLqaqu8uPbVoR6PDXc -JWqgFB07OgmcwEgq8iAzfn+1DLdUN75aDdKK1W7OoZqqclhbboiTIOqPTlSt -rE/3e+mtgrrzIaOcDcOBpGTBmFGzL9K7biEZHCCmQ0oq39IPcGREF2cJph9p -Mks945IxkpKPBC/rV7nJBgdl09G5As/o8h7zL4itqVHR5e1r9leZ3YVFapKm -ui02nx5xLFWtqY1Tut59dEhuG8amTgInMJDaUXMo/lCtZgKLNzjgq9VAUqr7 -6P3iD8eOnq+fuIovzRtNdeKqFJ74ZG6IhpmeI0f5Bmj/OS+m2HgIhJgOIan8 -Sz/AkZFcDnf1++GB2cW8ceL1lC+f4P3NXd1aApMFfyJrWG911s79NyUWySKv -2uIzMca82DWXUvX0XPvU540z7Rh7OgmdQF/qzVsJr/lO9tUySTD88WfcfWat -umEYVfDVaiAZHDIb6g/7OxsW/B8enD4u4CjVouU6SCauENOhI5WH6Qc4MkhN -op9XrHnGaBJv8m5t3WhFXVpg4PZ7+uVp+b2tjAYHS2vIw9PJ6WVd2odu0K7K -U2eFhqeEJFcWeQRkmacgV1IxWfODtv6qOEjtj+9+NrCoYrtOEicwkWoAp1Q3 -gVoN5oPDJqPBoQl5lPuRd5hmxUWNtp6aP3lxXhvliuj9kAwOENOhJNUAX9IP -cGjk97f5B5jfBe1LPKcx8zbsSE1L/nbV5hP6G6eKtptndwY/O8J9bfaVGinl -FMGxpmrLi/Z4YthjOoYN90n429At5Pe2+c/Z12DxPgQ3UjHRpRVTnD1CYxMO -HM08nF8nM0wxbdVJ6gQmUgfAGRyI1GJI86XU4Gef8dvxR11HTf5/vJ4aGbD7 -QkP7rexol3+9FJV1XYx0FiZ8vj7l4E+pG2MSizppP61LNjhATIeO1AF4k36A -Q4OKCje+v9P0IUzjC3bboWcNk5RtCt9a3o2zyuBQUjnVSdsgiVpugZgyM8gj -qWoHTj/AwZE35KakX2gZmGlpEy+phs3BgaI1eUNeWupvzYQPszqKVI510jRo -TS23QExpG+SRVLWjpx/g4GBIe0f/orZaJanIjhs/4rnXd+dViG1+3ZqeNVTW -KkKsTK4cQSqnOmkbpKKWWyCmQ1UqRbUAAAAAAAAAAAAAAAAAAAAAAAAAAAD/ -ONCu0sTl8wMmukxZvOe21Na7quxas7dZYPCBDOEE6OYA35DVZR74S4yqkbqM -4PFhtr5Fx641e5sFBh/IEE6Abg7wDkzVq9JOUKTX4wKWltHbId/O1uxtFhh8 -IEM4Abo5YDOYkptLWemtXcvSKRRI5cKavc2SwFU4GMAjqWrIEI6Abg4YgTQV -HPnlTo+1DMYQYVHGmtBX3iuyufCoZgPkI3GzJzg9OdIlcOWh+7od+lHx9Zys -4jaLXbf6/r67MmtfYTutNwdltcc2RoYFTXpBMH1pZr3xK+xMrBlARcWJK9cn -HzyQvG5l0mWR0cZuNpkdgAfh4FCqHmVzzsKpEfpN26xLxQMyhDYsuB0/2fq/ -+gd1c8AqypZfV3+cQWEOgMkfNQqvrnEby0JR7N47Sav2XGlFFB3X9rwz5mnf -XdX6nOq9nRLx1XnTYmaYrD7/5J+tir6E6amvllBLCnn9se/PNSKaosynF77o -OlCwhpE1A2j72SXeb+W09P1M1XxirnfEuXaUBbMGeBAOTqXqjy08uTTQSWC8 -oSiZVFwgQ+gfmwW3EybbP6mbA9bpi0GE/0rT7exJYFJABwdFy4XzzbqMlN6I -cR1nKLusqd5cEDEjWlNRU//HjVmRHq4eXn1M8g7aXIlTOhMPVCHVrWXIq7bM -mLNXV9KGoTU9qqbMgHGGgjINGX7jgn7WbPxvo1mDaMcPB7dSdYIbczalnEmY -ZlrAjlAqAQ6bIarW3BWxZfie5b3biZLtn9TNAQqohD+HeC4qMc50tLvyWHx4 -YMiXiesi3pwicPGPzhrYAZ92qpNa09J9NWriTOM9/bHO38M85+d3UB5iSA+B -iq+lLQlPqZKRWDABERakRQa/uuzgvsQNkSHuPhE/lebu3RK7wN/t1bWFoq6S -Bc5jDEN316XQ56kW4qQCj8LBoVRFw/H49CpxnUVxVaLM4VuGkJR1GDpu12CR -bIyEab91uCACNtJdutBt2ne1psmBdZwLet4lVjMTUjZlfzDWafbxZt21K1mq -y2pzUtOLLC7uSaxpvhUVfj5nbZFJpWTZ3a99vL6ooD4nITyEqqv8+LYVoR5P -DXeJGijKZg1pxWo351BNPTOsLTfESRD1RyeqVtan+730VkHd+ZBRzoY0lZQs -GDNq9kXWVvN5FA7OpCIPMuP3V8twC38TZg6/MoTk3DRE3N7/LU6ykcGvIAI2 -Iro4SzD9SJNZOI2Ls0hKPhK8bFjFJUl1ZdPRuQLP6PIe8y+IralR0eXta/ZX -9ZpmJ1KTNNVtMZ1pCskh1JrqMaXr3UeH5LZR7AQkRaKP3i/+cOzo+foJlfjS -vNFUJ1RK4YlP5oaYMS+m2Lhr8igcHEntqDkUf6hWM1/GGySJM4dfGTLTc+Qo -3wAHyhA7uB0/2UjhVxCJuzlABcnlcFe/Hx6YXVQb50BP+fIJ3t/c1V0rM1m+ -JrKG9VZn7dx/U2IRNHnVFp+JMeZlpZkcQk/PtU993jjTbnvSZjbUH/Z3NixE -Pzw4fVzAUbxC08zgUTi4kXrzVsJrvpN9tUwSDH/8GXefWatuGAYo4szhVYaQ -XDcNEbcTJhtNYQ4cRMBGkJpEP69Y86zS5MDk3doKzYq6tMDA7ff0C7vye1sZ -pbqlNeTh6eT0si7twy9oV+Wps0LD05+SK4s8ArLopALeITBZ84O2/roxSO2P -735G/WLfPGk3GSVtE/Io9yPvMM1KgBptPTV/8uK8Nsrlwa3Co3BwJ1UHTuFv -kszhVYaQnJuGgNtJk422MIcNImAr8vvb/APM70b25YDTmHkbdqSmJX+7avMJ -/S1HRdvNszuDnx3hvjb7So2UcqhwrKna8qI9nhj2mI5hw30S/jakp/zeNv85 -+xrovDOBcwhMdGnFFGeP0NiEA0czD+fXySjOpjCk+VJq8LPP+O34o66jJv8/ -Xk+NDNh9oaH9Vna0y79eisq6LkY6CxM+X59y8KfUjTGJRZ2szqZ4FA5upA6A -M0iSZA6vMoTk3MR/t5MmG21hjhtEwGZQUeHG93eaPgxpfO1sO/SsYZKyTeFb -y7tpXe2zK5hLeBQOHkmFDKGDw7p96AQRoIi8ITcl/ULLwFRMmwNJNWxmFEVr -8oa8tNTfmik9VMrwEA4Pj8LBH6mQIdRxWLcPqSACFMGQ9o7+RVu1SlKRHTd+ -xHOv786rENt8JUvPGiprFSF0H2hhV7BDwKNw8EEqZAh1HNbtQzCIAAAAAAAA -AAAAAAAAAAAAAAAAAAAAQxy0qzRx+fyAiS5TFu+5LWVtfxM7mXVA/jktJQI8 -AAAA28jqMg/8JUbVSF1G8PgwgtcuHcasA/LPaSkR4AEAAFgHU/WqtDNd6fW4 -gKVlbO3GbyezDsg/p6VEgAeAfzyYEtYL7IX01q5l6RRKmjqGWRK4SpLBb6mj -AR4AhhBIU8GRX+70WBtNMERYlLEm9JX3imyvZIL1Vh+Jmz3B6cmRLoErD93X -7ZSPiq/nZBW3kWylR0kqvnEWUDbnLJwaod9MzLpaPGS1xzZGhgVNekEwfWlm -vfE77lh3Zda+wnZm7xWiouLEleuTDx5IXrcy6bLIaPM0m8wOwIMksdZSak0g -DpANsJE5BuweawBwBJQtv67+OIPCRAuTP2oUXl3jNpaFEs+9d5JW7bnSiig6 -ru15Z8zTvruq9WNA7+2UiK/OWxQ8oyOV2LhtKIUnlwY6CYw3uiRTi4u8/tj3 -5xoRTd3t0wtfdB0oQIPJ6vNP/tmq6Bt5euqrJTRHF7T97BLvt3Ja+n6maj4x -1zviXDvKglkDPEgSay2l2ATCANkCG5ljwN6xBgCHoC/RI/xXmm55TwKTcjA4 -KFounG/WDTTSGzGu4wzljzUVngsiZkRrilsylEpm3BbNjTmbUs4kTDMtrEao -lgBUIdWtdsmrtsyYs1dXiUfRmBXp4erh1cck76DNldRr/mpRNWUGjDOUm2nI -8BsX9LOmZIGNZg2iHT9JrLWUchMIAmRTQ1jJHD0sxFrVmrsitoxqOAGAC1TC -n0M8F5UYpynaXXksPjww5MvEdRFvThG4+EdnDeyST3vYIbWmpftq1MSZxpv+ -Y52/h3nOz+8w67R0peIbZ6pW0XA8Pr1KXGdR9JNArRVtqPha2pLwlCqZmiKI -sCAtMvjVZQf3JW6IDHH3ifipNHfvltgF/m6vri0UdZUscB5jGLq7LoU+T7VM -JxV4lCRsNYF2gFjMHPvHmqwGBwA4Bt2lC92mfVdrOnZjHeeCnneJ1UzplE3Z -H4x1mn28WbdAQDbsyGpzUtOLLFYpSKxpvhUVfj5nbZFJxWLZ3a99vL6oMJv4 -0ZVKYJyRWuRBZvz+ahluQWp8tWTaVF3lx7etCPV4arhLFPVSaNKK1W7OoZpq -Z1hbboiTIOqPTlStrE/3e+mtgrrzIaOcDSOUpGTBmFGzL9p+v0cHj5KEnSaQ -B8j+mWPvWMO5CXB8RBdnCaYfaTLrZ8Z1UiQlHwleNqy6kww7yqajcwWe0eUW -6/PE1tSo6PL2NfurzB5WQGqSprotNp8L0pVKYJyB2o6aQ/GHajWzYLwRBl+t -FW1qTd2b0vXuo0Ny22wvIX30fvGHY0fP18+lxZfmjaY6l1YKT3wyN8SMeTHF -xucBHiUJEbSTR00YoMHIHHvHeqbnyFG+AXixBgAHQXI53NXvB/M1deNe1lO+ -fIL3N3d1axtMbiUQWcN6q7N27r8psegZ8qotPhNjzOtO05NKaJy+2pu3El7z -neyrZZJg+OPPuPvMWnXDMDThqyXTpqfn2qc+b5xpt/3clNlQf9jf2XAP4uHB -6eMCjtKpaU8Oj5KErSb0Qy9ALGaOnWMN102A44PUJPp5xZp3D00vm7xbWylZ -UZcWGLj9nn4hXn5vK6Nhx9Ia8vB0cnpZl/YJI7Sr8tRZoeFhOsmVRR4BWeb9 -jY5UEuPM1OrAKUhNoJbIFCZrftDWX/EGqf3x3c+or+mZj1ebjMarJuRR7kfe -YZpFIDXaemr+5MV5bZRLcFuFR0liexOYB4jFzLFzrOHcBPAA+f1t/gHmDwv0 -9TKnMfM27EhNS/521eYT+lvEirabZ3cGPzvCfW32lRop5f6AY03Vlhft8cSw -x3QMG+6T8Ldh1JHf2+Y/Z1+DxcsfVKWSGmeidgCcEYZILb4pTHRpxRRnj9DY -hANHMw/n18kozskxpPlSavCzz/jt+KOuoyb/P15PjQzYfaGh/VZ2tMu/XorK -ui5GOgsTPl+fcvCn1I0xiUWdrD5AzKMksbUJTAOEb20AGplj/1jDuQngA6io -cOP7O02fODVenbAdetYwSdmm8K3l3Thjgv2l0jZIotYO2jiDR0lCxBBoAgD8 -05A35KakX2gZmFNqe1lSDZt9lqI1eUNeWupvzYTPfNtZKk2DVtSyro1LeJQk -xL/jfRMA4J8GhrR39C+yq1WSiuy48SOee313XoXY5qUhetZQWasIsTKTtJtU -dtWyro17eJQkRAyBJgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAwD5oV2ni8vkB -E12mLN5zWwo39U0A54AHAADgAlld5oG/xKgaqcsIHh8GL3GaAM4BDwAAwAmY -qlelnQ1Lr8cFLC1jrRjHkACcAx4AOAJT8uYqnUdS+Yj01q5l6RSK4bIHjwI6 -+M5xNMADgM0gTQVHfrnTY63bY4iwKGNN6CvvFdleGgjrrT4SN3uC05MjXQJX -HrqvK4CAiq/nZBW3keySxoFUtaz22MbIsKBJLwimL82sR1jUaWmZBZTNOQun -Rui3brMulRRUVJy4cn3ywQPJ61YmXRYZ7Y+HdVdm7Stst/WtVb4EFE8Tbg73 -f2XFOZAeAGAVZcuvqz/OoDC9weSPGoVX17iNtb3ctrr3TtKqPVdaEUXHtT3v -jHnad1e1vuf13k6J+Oq8ReU27qTK6499f64R0VSyPr3wRVd9iR8WdBJYtg2l -8OTSQCeB8baiZFLJQdvPLvF+K6el76eq5hNzvSPOtfcPP5isPv/kn62Kvj/p -qa+WMB2B+BJQXAhz2JpzID0AwDp96RXhv9J0734SmJTmwUHRcuF8s64nS2/E -uI4z1JjWlKouiJgRrSkf6hBS1ahCqltIkldtmTFnr74IkO06iSzbgKIxZ1PK -mYRppmXsCKVaQdWUGTDOUCqoIcNvXNDPmpIOisasSA9XD68+JnkHba6kWHzW -HL4EFB+iHLbmHEgPYxOtuStiy6hmAPBPQiX8OcRzUYlxcqDdlcfiwwNDvkxc -F/HmFIGLf3TWwHb/tMcHUmtauq9GTZxpXL0A6/w9zHN+fodZV+FYKiq+lrYk -PKVqoPgcSzpxLDPVqWg4Hp9eJa6zKLFKIFWtRoQFaZHBry47uC9xQ2SIu0/E -T6W5e7fELvB3e3VtoairZIHzGMO0oetS6PNUS6xSgS8BZZLD7LV6aKcHVOsA -iOguXeg27bta006FdZwLet4lVjORUjZlfzDWafbxZt1lOdn4IKvNSU0vslgb -ILGm+VZU+PmctUUmZaFld7/28fqiwmy6xaVUVVf58W0rQj2eGu4SNVBsjg2d -+JYZ6UQeZMbvr5bhlv/Gl6pBWrHazTlUU6kOa8sNcRJE/dGJqpX16X4vvVVQ -dz5klLNhuJGULBgzavZFFu739MOXgJKrUuPnMEutHurpAecmgAjRxVmC6Uea -zLLbuBKNpOQjwcuGtW6S8UHZdHSuwDO63GJVnNiaGhVd3r5mf1Wvaa9GapKm -ui02n4FxLFWtKblTut59dEhuG8amTjzLDHR21ByKP1SrmSDjDT74UjWQlP8+ -er/4w7Gj5+snxuJL80ZTnRgrhSc+mRtixryYYuPxmy8BtWIHP4cJgfRQG6fH -TM+Ro3wD8NID+IcjuRzu6veD+Uq2cW73lC+f4P3NXd2KApM1fyJrWG911s79 -NyUW+Siv2uIzMca8gDaXUvX0XPvU540z7RibOvEs09d581bCa76TfbVMEgx/ -/Bl3n1mrbhhGLXypGkgGn8yG+sP+zoYbCg8PTh8XcJRqFXTr8CWgZHYIc5gQ -SA9j4LoJIAKpSfTzijVPSk1uT96tLYCtqEsLDNx+T7/8Lb+3ldH4YGkNeXg6 -Ob2sS/tcD9pVeeqs0PCMrOTKIo+ALPMs50oqJmt+0NZfbAep/fHdzwaWVmzV -SWyZiU4DOOW/CaRqMB98NhkNPk3Io9yPvMM0KzpqtPXU/MmL89ooV1m3Cl8C -SqyKJIdZaPU/IT3g3AQQIr+/zT/A/C5uX247jZm3YUdqWvK3qzaf0N+YVbTd -PLsz+NkR7muzr9RIKWchjjVVW160xxPDHtMxbLhPwt+Gbi2/t81/zr4Gi1cu -uJGKiS6tmOLsERqbcOBo5uH8Oplh7mqrTmLLTHQOgDP4EEnFkOZLqcHPPuO3 -44+6jpr8/3g9NTJg94WG9lvZ0S7/eikq67oY6SxM+Hx9ysGfUjfGJBZ1svo0 -MF8Cim+HNIdZaPU/Ij3g3AQQg4oKN76/0/Q5T+M1AduhZw2TlG0K31rejdMT -HUoqX3SqSaVyi0M5itRLbKpyqFarHTg9AEDekJuSfqFlYCanze2kGjZ7CkVr -8oa8tNTfmgkfxnUUqXzRqbYulVscxVFWvMSuKodptdrR0wMAMKS9o39pW62S -VGTHjR/x3Ou78yrENq/h0LOGylpFiJX5myNI5YtOilK5xREcReoldlXpcIRW -q/mQHgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAwSKBdpYnL5wdMdJmyeM9tKdxN -5ysQRwAAhhCyuswDf4lRNVKXETw+DN6e5CsQRwAAhhKYqlelnWRLr8cFLC1j -rXAGMLhAHIEhBKaEK39Ah/TWrmXpFArXsgdf0o8vOvsZ/DgCAAWQpoIjv9zp -sdaXMERYlLEm9JX3imyv4YP1Vh+Jmz3B6cmRLoErD93XVRhAxddzsorb8HY0 -oyMV37gtyGqPbYwMC5r0gmD60sx6hD2pOJZZQNmcs3BqhH7PNOtSSUFFxYkr -1ycfPJC8bmXSZZHRXnZYd2XWvsJ2W18X5SD97BhQdnXqYCGgJJ3CWhx51OmA -oYSy5dfVH2dQmDJh8keNwqtr3MayUBe7907Sqj1XWhFFx7U974x52ndXtX5U -7r2dEvHVeYt6aXSkEhtniLz+2PfnGhFNCenTC1901dfWYUEqgWXbUApPLg10 -Ehjv50kmlRy0/ewS77dyWvp+qmo+Mdc74lx7/9kJk9Xnn/yzVdH3Jz311RKm -JyhO0s9+AWVXp/7YLASUsFNYiyOPOh0wpOgbeiL8V5rumE8Ckxo6OChaLpxv -1uWu9EaM6zhDZWdNgeiCiBnRmqKdDKWSGWcGqpDqFmjkVVtmzNmrr75js1RC -yzagaMzZlHImYZpp/ThCqVZQNWUGjDPU6GnI8BsX9LOmloKiMSvSw9XDq49J -3kGbK3FKphpMtOauiC3D9wU36WfHgLKrUwsrASXqFNbiyKNOBwwtVMKfQzwX -lRinHtpdeSw+PDDky8R1EW9OEbj4R2cNbLJPu9ORWtPSfTVq4kzjmgFY5+9h -nvPzO8ySj65UfOO2qEXF19KWhKdUDVR9Y0uqpWWmOhUNx+PTq8R1FrVNCaSq -1YiwIC0y+NVlB/clbogMcfeJ+Kk0d++W2AX+bq+uLRR1lSxwHmMYZ7ouhT5P -tbbpgDeI6yBwnH52CyiLOmkHlNVOwaNOBwwxuksXuk37rtY0jbCOc0HPu8Rq -pibKpuwPxjrNPt6su4Ym63Sy2pzU9CKLq20Sa5pvRYWfz1lbZFKMWXb3ax+v -LyrMpnB0pRIYZ6pW1VV+fNuKUI+nhrtEDVR5Y0MqvmVGOpEHmfH7q2W4dbfx -pWqQVqx2cw7VlIjD2nJDnARRf3SiamV9ut9LbxXUnQ8Z5Ww4G0lKFowZNfsi -vesBknMTl+lnv4CyqJNRQJl3Cgt41OmAIYbo4izB9CNNZsliXP9FUvKR4GXD -fRCSTqdsOjpX4BldbnHHhNiaGhVd3r5mf5XZfVOkJmmq22Lz2TldqQTGbVCr -1tS6KV3vPjoktw1jVSqOZQY6O2oOxR+q1Uw58YYyfKkaSOpuH71f/OHY0fP1 -103iS/NGU71uUgpPfDI3RMNMz5GjfAO0/5wXU2w8aHGcfmp7BZQlnUwDyrRT -WMKjTqc2TjkjzFIO4AuSy+Gufj+Y3+UwTpWe8uUTvL+5q7ukZrKQTmQN663O -2rn/psQiceRVW3wmxpiXraYnldA4U7V6eq596vPGmXaMPan4lunrvHkr4TXf -yb5aJgmGP/6Mu8+sVTcMfRxfqgaSc1NmQ/1hf2fD/aaHB6ePCziKV7ubBJLr -Ji7TT489AsqOTsYBZa9T8KjTAUMMpCbRzyvWPMyaVJm8W1thWlGXFhi4/Z5+ -/Vd+byujTmdpDXl4Ojm9rEv7zBfaVXnqrNDwXI/kyiKPgCzzEZCOVBLjTNRi -suYHbf1VbpDaH9/9bGB5wVapxJaZ6DSAU3ebQKoG83PTJqNzUxPyKPcj7zDN -gp8abT01f/LivDbKFdH7ITk3cZV+9gsouzoN0Asoe52CR50OGGrI72/zDzC/ -b9mXKk5j5m3YkZqW/O2qzSf0dyYVbTfP7gx+doT72uwrNVLKIxSONVVbXrTH -E8Me0zFsuE/C34ZElt/b5j9nX4PFSwxUpZIaZ6IWE11aMcXZIzQ24cDRzMP5 -dTLDvNBWqcSWmegcAGcoI5KKIc2XUoOffcZvxx91HTX5//F6amTA7gsN7bey -o13+9VJU1nUx0lmY8Pn6lIM/pW6MSSzqpD0kkJybOEo/+wWUXZ0D0Agovimm -nYJHnQ4YaqCiwo3v7zR9dtT4Ett26FnDJGWbwreWd+OM0vaXSs8gp1JZ8yq3 -OJSjhkpA2RTGo04HDD3kDbkp6RdaBuZG2lRJqmGz01G0Jm/IS0v9rZnw8VM7 -S6VjkGOpbHqVWxzFUUMnoCx3Ch51OmDogSHtHf1ru2qVpCI7bvyI517fnVch -tnlNl541VNYqQqzMiOwmlZ5BTqWy71VucQRHDZWAst4pNPCo0wEAAAAAAAAA -AAAAAAAAAAAAAAAAAPAAtKs0cfn8gIkuUxbvuS219T4ou9YAgCKQxgAwtJDV -ZR74S4yqkbqM4PFhBG9wcmQNACgCaQwAQwxM1avSzgul1+MClpbRq85gZ2sA -QBFIYwCwP5iSg0UE6a1dy9IpVB3lwtrQg5MQM4NHUtWQxgBAD6Sp4Mgvd3qs -dXIMERZlrAl95b0iFgp6ymqPbYwMC5r0gmD60sx6zRvhqPh6TlZxG84+WVh3 -Zda+wnY6L/phvdVH4mZPcHpypEvgykP3jffst2aNkjdI7NuGsjln4dQI/c5p -xD6hCQchxneR9RZxkY06WHC+DYmHh2U3scUaAPAJZcuvqz/OoDD7wuSPGoVX -17iNZaHYtLz+2PfnGhFNwe7TC1901Zdr6b2dEvHVedPaY5isPv/kn62KvrGi -p75aQq0v9t5JWrXnSiui6Li2550xT/vuqkaoWaPoDUL7NqIUnlwa6CQw3tUT -zyd0rXIRYmIXkbWIE6n6Y7PgfMaJhwtBN2FoDQD4BNp+NsJ/penm+yQwKUyD -e1iFVLcWI6/aMmPOXn2FGKyzIGJGtKYApg5FY1akh6uHVx+TvIM2V1Irdqlo -uXC+WTcoSG/EuI7TVRW3Zo2qN4js24iiMWdTypmEaaZV5Cx8QhNuQkzmIsIW -cZSN/YLZcD7TxCOAoJswtAYAPEIl/DnEc1GJ8WCAdlceiw8PDPkycV3Em1ME -Lv7RWQP79dMeDUitqVHxtbQl4SlVA4XEsM7fwzzn53dQHYjJ7Wvovho1cab5 -Lv/40PUGXfvkBhUNx+PTq8R1FhVO6frEtkaxHGINFi4iaBGHUmk7n93EoNtN -AGCo01260G3ad7Wm/QfrOBf0vEusZrKobMr+YKzT7OPNulUDstFAVpuTml5k -sf5BaE3VVX5824pQj6eGu0QNFA6T3f3ax+uLCupTQRK1mm9FhZ/PWVtErSoz -XW9YsU/LIciDzPj91TLc6tu0fWJLo9gMcf+3OC7CbxFnUhk5n8XEI7OG300A -YIgjujhLMP1Ik1nGG5dTkZR8JHjZsNBNMhoom47OFXhGl/eYf0FsTQMmKV3v -Pjokt03XiZGapKlu/UVYKUJiHxVd3r5mfxXVJxXoeoPcPh2HdNQcij9Uq5kp -4w2PhD5RCk98MjfEjHkxxcYjIschxncRfos4ksrQ+SwmnhVrastuYgUqiQEA -jozkcrir3w8PzNYdjLtJT/nyCd7f3NUtJzBZ4Se21k/PtU993jjTrus18qot -PhNjzKtAM7GP9VZn7dx/U0K9O9LzBn37hAZv3kp4zXeyr5ZJguGPP+PuM2vV -DcPQRN8njBvFbogJXYTfIm6kMnY+u4lBr5sAwBAHqUn084o173iabjJ5t7am -sqIuLTBw+z392rf83lZGo4G5NUzW/KCtvxILUvvju58NLFZIrizyCMgS0li7 -wFeLPDydnF7WpS2JjXZVnjortP4kHR1vMLFPalAHTvVtBj5h2CgNbIWY1EX4 -LeJOqg56zmc3Meh1EwAY6sjvb/MPML9h29dNnMbM27AjNS3521WbT+jvyira -bp7dGfzsCPe12VdqpCjVQ+BYw0SXVkxx9giNTThwNPNwfp3MMBuU39vmP2df -A513SnDsq9ryoj2eGPaYjmHDfRL+pjJCUPUGU/uEBgfAGR4Z+IRJozSwF2JS -FxG1iBupA9BzPruJQaubAMDQBxUVbnx/p+ljqMbLC7ZDwxomKdsUvrW8m1Yf -ZFOt/b1B2yAjn5jgUCFWk7aIR1K5FQYA/wTkDbkp6RdaBmar2m6SVMNmp6Ni -Td6Ql5b6WzPVp7Fp26eGnb1B0yBDn1iacYwQq623iD9SuRMGAP8YMKS9o39d -W62SVGTHjR/x3Ou78yrENi9v07CGylpFCN2rA3bV6rCbN2gbZOQTfBwhxGpq -LeKDVC6FAQAAAAAAAAAAAAAAAAAAAAAAAAAAAIBDg3aVJi6fHzDRZcriPbel -tj73wK41AKACZB0ADDlkdZkH/hKjaqQuI3h8WIHIkawBABUg6wBg6IGpelXa -iab0elzA0jIae9za3xoAUAGyDnAMMCU/Ltr5orMf6a1dy9Ip1HvlwhoVeORt -HknlF4OfdcBQB2kqOPLLnR5rPRZDhEUZa0Jfea+IhUqjstpjGyPDgia9IJi+ -NLNe8zY8Kr6ek1XcRrJtHBc6dSibcxZOjdDvtGZdKp6s3uojcbMnOD050iVw -5aH7xvUTsO7KrH2F7bReurR0oC3WcODA2/guGlKJQUkqSaowhEl3o2bHoJmd -rAMAA8qWX1d/nEFhtoPJHzUKr65xG8tCFWx5/bHvzzX2pbaq9fTCF131pWp6 -b6dEfHXeoiAcdzr1xxaeXBroJDDeBZRMKi69d5JW7bnSiig6ru15Z8zTvruq -dT0bk9Xnn/yzVdE3XPTUV0uoWSRwIENrlnDibUIXDZXEoCiV2A8MYdDd6Nhh -LesAYAC0/WyE/0rTqgAkMKmYg3tYhVS3sCKv2jJjzl59zR6ssyBiRrSm+Kdj -6NSiaMzZlHImYZpp1TlCqQRGWi6cb9YNMdIbMa7j3i4S9xvPivRw9fDqY5J3 -0OZKisVtCRxIw5qqNXdFbBm+Q7nxNpGLNAyFxKAqlcwPzKDd3ejZYSnrAMAI -lfDnEM9FJca5gnZXHosPDwz5MnFdxJtTBC7+0VkDhQRod21Sa2pUfC1tSXhK -1UARNazz9zDP+fkdZr2FQ52KhuPx6VXiOouKqARSrTRZQ/fVqIkzzUtB0Bam -/dbCgZRRNR5+Yz7+M1UcZ4UGCxfxPzHoSsX3A1O12m+pdjdOsg4AjOkuXeg2 -7bta09THOs4FPe8Sq5lOKZuyPxjrNPt4s+4qnaxry2pzUtOLLFYICK2pusqP -b1sR6vHUcJeogaJpsrtf+3h9UWE29eJMJ/IgM35/tQy3Wje+VHJhmm9FhZ/P -WVtEuTw2TQdShWSU4DIr+r/FcRHvE4OuVAI/MFKrptfd6NuhCpybAIqILs4S -TD/SZJZhxqVkJCUfCV42LCyTdG1l09G5As/o8h7zL4itacAkpevdR4fktun6 -H1KTNNVtcanZc6gc6eyoORR/qFYzYcQbgvClWmkyKrq8fc3+Kjq3t+k50ApK -4YlP5oZomOk5cpRvgPaf82KKjcc/jrMC30W8Twy6UslTxa7djb4dK1DJOgAw -RnI53NXvhwdmSwbGadlTvnyC9zd3dZfvTJbria3103PtU583zrTrslRetcVn -Yox5XW5udN68lfCa72RfLZMEwx9/xt1n1qobhh6KL5VMGNZbnbVz/00JvR5J -z4FUIZnBcpkVhC7ifWLQk8osVUgM6qHS3ejboQpcNwEUQWoS/bxizVNTk5aT -d2uLSSvq0gIDt9/TrzXL721l1LXNrWGy5gdt/bVxkNof3/1sYHFAcmWRR0CW -0Gx2yZVOAzjVugmkEptCHp5OTi/r0pYPR7sqT50VUnv8ip4DqUIySnDnbRIX -8T4x6EhlmioEBul2N/p2qALnJoAq8vvb/APM77X2paXTmHkbdqSmJX+7avMJ -/V1QRdvNszuDnx3hvjb7So0UpXoIHGuY6NKKKc4eobEJB45mHs6vkxlmX/J7 -2/zn7GuweOuCG50D4AxBRFLxTana8qI9nhj2mI5hw30S/qY43tByIGXIRglu -vE3qoiGQGFSl2pAq+Abpdze6digD5yaAMqiocOP7O00f+zS+nLcdGtYwSdmm -8K3l3Tg571A61aRSuRXGCjzyNkg1hZ3uxknWAYAZ8obclPQLLQPzOW1aJtWw -2bWpWJM35KWl/tZM+Lyso+hUW5XKnTD24I+3QaoxbHU3brIOAMzAkPaO/nVk -tUpSkR03fsRzr+/OqxDb/II3DWuorFWEWFklcASd1qRyKYxd+OBtkMpQ7SDm -MAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA4MGhXaeLy+QETXaYs3nNbCjvO8BWI -IwAAQwhZXeaBv8SoGqnLCB4fBu9Q8hWIIwAAQwlM1avSTrKl1+MClpbhbBEK -8AGIIzAUwZS8WQLgkVR+Ib21a1k6hVKz7MGjUPJI6uDHEQDogDQVHPnlTo+1 -HoUhwqKMNaGvvFdke9lQrLf6SNzsCU5PjnQJXHnovq4OACq+npNV3Ia3vRd3 -UtWy2mMbI8OCJr0gmL40sx5hTye+E1hA2ZyzcGqEfpM362rxsGy1QXZ3Zda+ -wnZbX8mErCOFSdbhaSLOMWtxpNZq4jyxATYSGOA9ypZfV3+cQWHuhMkfNQqv -rnEby0JJ6947Sav2XGlFFB3X9rwz5mnfXdX6pO69nRLx1XmLkmncSZXXH/v+ -XCOiKSd9euGLrvoqNizoJHaCbSiFJ5cGOgmMNyAlU4sLQav7XCurzz/5Z6ui -b8Toqa+WMD1BQdaRwyDrcCFssrU4Umw1YZ7YAhsJDPAetP1shP9K0y3+SWBS -/gYHRcuF8826TiK9EeM67u0isf47rLMgYka0pt6mQ0hVowqpbo1GXrVlxpy9 -+gI8Nuskc4INKBpzNqWcSZhmWvCOUC0BBK1WNGZFerh6ePUxyTtoc6VlvVQD -qtbcFbFl+F6ArLMG7azDh6jJ1uJIudVEOm2AnQQG+I5K+HOI56IS4xxEuyuP -xYcHhnyZuC7izSkCF//orIGqALS7Hqk1Ld1XoybONK4cgHX+HuY5P7/DLAs5 -loqKr6UtCU+pGqivxpJOfCcwlapoOB6fXiWusyjGSqCWdqspQ1INAbKOqlTK -WcdujtHOYbp5wmICA0OU7tKFbtO+qzXNV6zjXNDzLrGaOYqyKfuDsU6zjzfr -LqbJup6sNic1vcjispvEmuZbUeHnc9YWmdRmlt392sfriwqzuRyXUlVd5ce3 -rQj1eGq4S9RAPTV2dBI4gZFU5EFm/P5qGW6hcHy19FtNFZJzE2QdJWt0so5R -kwmh12ryPLF/AgNDEtHFWYLpR5rMEse4dIuk5CPBy4ZlZJKup2w6OlfgGV1u -seBMbE2Nii5vX7O/yuwhAKQmaarb4lKzB1s5lqrWlLspXe8+OiS3DWNTJ4ET -GEjtqDkUf6hWM/3E69r4aum32gpK4YlP5oZomOk5cpRvgPaf82KKjQdFyDqq -UtVUs45RkwmhncM4Ohm0mmECD6ScEWYpB/AOyeVwV78fzBeJjdOmp3z5BO9v -7uou1pkspxNZw3qrs3buvymxyCB51RafiTHmxau5lKqn59qnPm+cacfY00no -BPpSb95KeM13sq+WSYLhjz/j7jNr1Q3DmICvln6rqUJy3QRZR9FaP1SyjlGT -CaHbajyd1mAxgYGhCFKT6OcVax5vTdpM3q2tA62oSwsM3H5Pv7Isv7eVUdez -tIY8PJ2cXtalLYyNdlWeOis0PKQmubLIIyBLaDZr40oqJmt+0NZf6Aap/fHd -zwZWLWzXSeIEJlIN4BQKJ1BLv9VUITk3QdZZtUY36xg1mRDqrWaeJywmMDAk -kd/f5h9gfoO0L22cxszbsCM1LfnbVZtP6O95Ktpunt0Z/OwI97XZV2qkKNVD -4FhTteVFezwx7DEdw4b7JPxt6DHye9v85+xrsHibgRupmOjSiinOHqGxCQeO -Zh7Or5MZpoW26iR1AhOpA+B0bSK1dFtNGZJzE2SdNWv0s45Bk0mg2mob8oTF -BAaGJqiocOP7O00fIjW+3LYdetYwSdmm8K3l3ThJ7lBSOdVJ2yCJWjtos45D -hVI9JLKOXVUO1Wq1lYYDQxZ5Q25K+oWWgUmSNm2SathMQorW5A15aam/NRM+ -5+ooUjnWSdOgFbWsa6OEo4RSzXk02co6luPoKK1WWw8QMITBkPaO/lVjtUpS -kR03fsRzr+/OqxDbvLhLzxoqaxUhVqZGjiCVU520DZKqZV0bDRwhlOohknV2 -iaMjtFpNLUAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8A+0qTVw+P2Ciy5TFe25L -bb0nyq41wHYcOb6QLQAAECCryzzwlxhVI3UZwePDCN7m5MgaYDuOHF/IFgAA -iMBUvSrthFV6PS5gaRnOJpfcWQNsx5HjC9kCAPwBU3KztCG9tWtZOoXyo1xY -G2JwEmJHji9kCwBwAdJUcOSXOz3WxiMMERZlrAl95b0im8t6avZGPhI3e4LT -kyNdAlceuq/bvB8VX8/JKm7D2TML667M2lfYTuulP1ntsY2RYUGTXhBMX5pZ -b/wCujVr1BxCbN8GlM05C6dG6HcSI3YITTgIMY5/WI0vfgoxtabH1P+2WgMA -gDHKll9Xf5xBYU6IyR81Cq+ucRvLQsnp3jtJq/ZcaUUUHdf2vDPmad9d1fqh -vfd2SsRX501LkWGy+vyTf7Yq+ga3nvpqCbVBQl5/7PtzjYimOPjphS+6DtSa -sWaNokMI7duCUnhyaaCTwHiXSzyH0LXKRYgJ/MNafAlTiJE1HZb+t8UaAACM -QdvPRvivNN2MngQm5WlwULRcON+sG0qkN2Jcx71dJNZ/h3UWRMyI1tTD1P9x -Y1akh6uHVx+TvIM2V1IsfIkqpLqVKXnVlhlz9uqq0VizRtkhBPZtQdGYsynl -TMI006pqFg7BQdWauyK2DF80NyEm9A9L8SVKIYbZolNi7n9brAEAwByV8OcQ -z0UlxuMW2l15LD48MOTLxHURb04RuPhHZw3sX0974CK1pqX7atTEmcbb8WOd -v4d5zs/voHrLg/wQqPha2pLwlCoZiQUj6DqErn0Sa4qG4/HpVeI6i4qfFBxC -UpCC4xBb+ofd+GqwSCFG1gj9DwDAoNNdutBt2ne1pr0a6zgX9LxLrGZqq2zK -/mCs0+zjzbq1DLKBS1abk5peZLH4RGJN862o8PM5a4tMyifL7n7t4/VFBfU5 -KuEhVF3lx7etCPV4arhLFLWqZ/QcQm6flkOQB5nx+6tluNWorTuE5NzEZYjx -/cNefPu/xUkh+tbI/A8AwGAjujhLMP1Ik9lgY1xaRVLykeBlw80UkoFL2XR0 -rsAzutzitguxNTUqurx9zf6qXtNhBalJmuq2uJTGA7skh1Brar+UrncfHZLb -RmH0ousQEvt0HNJRcyj+UK1m/o43NhI6RCk88cncEA0zPUeO8g3Q/nNeTLHx -OM1xiHH8w2p88VOIrjVy/5MxEAIjzEIAAABdJJfDXf1+ML9VYtx5e8qXT/D+ -5q5uSYbJzQgia1hvddbO/TclFp1YXrXFZ2KMeUVoJofQ03PtU583zrRTGC7o -OoSufXxrN28lvOY72VfLJMHwx59x95m16oZheLfuEJLrJi5DrMfUP+zFlzCF -aFqz4n8AAAYbpCbRzyvWfJjQdN7Ju7XFmxV1aYGB2+/p1/fl97YyGrgsrSEP -Tyenl3VpC1ejXZWnzgoND2FLrizyCMgS0ngkCu8QmKz5QVt/1Rek9sd3P6O2 -pkfdIczsE1kzgFONmoJDSM5NXIWY2D/sxJc0hRhY04HnfwAABh35/W3+Aea3 -kfs6r9OYeRt2pKYlf7tq8wn9nWdF282zO4OfHeG+NvtKjRSleggca6q2vGiP -J4Y9pmPYcJ+Evw3jivzeNv85+xrovNODcwhMdGnFFGeP0NiEA0czD+fXySjO -rak6hKl9fGsD4IyNFBxCcm7iKMTE/mEnvqQpRNvaAHBuAgDHABUVbnx/p+nD -scaLHrZDzxomKdsUvrW8m9YyDZuCh4RDTHCoFnEeX7atAQBgL+QNuSnpF1oG -JtbazptUw+ZQQNGavCEvLfW3ZrqvCrEreAg4xNKMY7TIIeLLcrYAAGA/MKS9 -o//egFolqciOGz/iudd351WIbX4Nnp41VNYqQuheILArWAefHYKPI7TIAeJr -l2wBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgEEC7SpNXD4/YKLLlMV7 -bkuH8qZy7LbUka0BAADwHFld5oG/xKgaqcsIHh9GsFPFkIDdltrfGiapPPlb -g/EeGJaf4KJ4sP/jLVC5CgAAPoOpelXaabr0elzA0jIae43zDXZbOhjWFI3Z -XyTfMN6Rw/ITSxQP9r0bS2fTeABwZDAlb9YReCSVR0hv7VqWTqEKPHtwFUd2 -W2pfa9KK/3580GRnRctPzFA2HHov+rKY+A8AwG5gvdVH4mZPcHpypEvgykP3 -CSrhIE0FR36502Ot/2OIsChjTegr7xXZXNSbQBgqvp6TVdxGslUoB1LVstpj -GyPDgia9IJi+NLMeYU8ntejYWyoJyuachVMjTAv1dldm7Stst3XXBR6kHJOW -WvrfFms6KEZBdvt/3t5uUqPZ8hMTVI1Z4csusdBBAIA2vXeSVu250oooOq7t -eWfM0767qi03GlO2/Lr64wwK0zlM/qhReHWN21iaRRboCeu9nRLx1XmL8qvc -SZXXH/v+XGOfPFXr6YUvuuor37Ggk0p07C2VDKXw5NJAJ4HRxt2YrD7/5J+t -fVNxtKe+WsL0BMWDlGPUUgL/2+Y36lEQFbwbbJpDlp8YoRJmfxB1QQQrCwAH -KFounG/WZab0RozruLeLzC/g0fazEf4rKZcNYFKcjqYwrLMgYka0pqq2Q0hV -owqpbkVJXrVlxpy9+kp+NuukEB17SyWV15izKeVMwrSBQrGKxqxID1cPrz4m -eQdtJruFrmrNXRFbhu8CHqQcjZYaQ+B/htZ0v6UeBenNuKlvmFRotvzESGzL -/7fg4/MdcGoCuKb7atTEmeaVfvrmTj+HeC4qMR4n0O7KY/HhgSFfJq6LeHOK -wMU/OmugCg7tgYLUGr4wrPP3MM/5+ea9hmOpqPha2pLwFKMVEpZ04jthUKSS -2FE0HI9PrxLX0StiboCk5hSPUo7hISz9z9QavSjI7//vaVNMqhJbfjJw0Ee5 -C5eco1rOGQDsBSYq/HzO2qIu81TsLl3oNu27WtMxEes4F/S8S6xmHqlsyv5g -rNPs4826hQOygUJWm5OaXmSxdERijUCY7O7XPl5fVJhNL7mUquoqP75tRajH -U8NdogZqvLKjk8AJgyGV0A7yIDN+f7VMrXjA/rmJRylHAk3/M7JGNwqKuu/9 -3CONnwO0/MRwxLazSxblPqJcYRIA7AIqurx9zf4qnHvtoouzBNOPNJl1IeMC -bZKSjwQvG1bOSQYKZdPRuQLP6PIe8y+IrREIQ2qSprotNn+0lWOpas07I6Xr -3UeHGNZI2NFJEh17SyWw01FzKP5QrWbmTvfcpBSe+GRuiIaZniNH+QZo/zkv -ptj4PMCjlCODnv8ZWKMfBWX9j6+4vn9ZQvaJXl/H7x//r/+vBU5NAJdgvdVZ -O/fflOD2EsnlcFe/Hx6YrSUZ95Se8uUTvA3LAkwW/4msEQqTV23xmRhzQ+o4 -UvX0XPvU540z+oUQNnSSRsfeUvHt3LyV8JrvZF8tkwTDH3/G3WfWqhsW4z8p -JNdNPEo5JofQY+p/+tYYREFRl+bntqi0m+yTfrDOgqgPTzTb+rAlANgA8vB0 -cnpZl3aChHZVnjorNHlqB6lJ9POKNe+Tmp4yefffmr/sy+7AwO339Ivp8ntb -GQ0UltZIhEmuLPIIyBKa9RyupGKy5gdt/UXzkNof3/1sYKHGdp1WomNvqcTC -dCgb9v3bneU1PR6lHN1DEPufmWAdVKOAVO/y89lg/KiF5Se6wxUuDc8yv3QF -gMFD1ZYX7fHEsMd0DBvuk/C32eAnv7/NP8D8JnxfT3EaM2/DjtS05G9XbT6h -v82raLt5dmfwsyPc12ZfqZFSXg/AsUYqTH5vm/+cfQ0Wb5xwIxUTXVoxxdkj -NDbhwNHMw/l1MsNM2FadFKJjb6n4dgawx7mJTylH7xDE/mdibQCqUei9tW5q -yPFmlOwTLeLLn71/+CGzV94AYLBARYUb399pOrUyXmGwHXrWMEnZpvCt5Xh7 -rTiUVE510jNIItUOwqzjUHFUW/EPO4cYFGviog9f/dLErZafaJCUxry7n/Iz -oQDAHfKG3JT0Cy0DyartKUk1bPY7itbkDXlpqb81E/YbR5HKsU46Bq1IZV0Y -JRwljmrroWThEINjDalOCvvC+IEMnE809Fxb887eOjg1AfwAQ9o7+hfK1SpJ -RXbc+BHPvb47r0Js85I0PWuorFWEWJm+OoJUTnWyKJV1YTRwhDiqqYXSxkMM -jjWkZu/CHbd7ST/RIL2+/u3vB3suAgAAAPwDQTv+3Bz/m/GzF5afaJFWxL+d -eH8wN+oFAAAA/pFg3beOHrrWhZJ90o/s7vYFCffg1AQAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAOB4oF2licvnB0x0mbJ4z22pfet/DeaxHIEh396h -3cCh3ToAGFTkDb+drKRTBUFWl3ngLzGqRuoygseHEWyZyRJ4x8IklSd/axia -L0EMpm85YWg3cGi3DgAGEaz7RvIXxxtpbV+FqXpV2lOZ9HpcwFK8spXsgX8s -RWP2F8k36O1+yQ8G07ecMLQbOLRbBwCDh6L+4Mf/raBRs8wY6a1dy9JrBuf6 -xfxY0or/fnzQTpsVY0ruT3qD6VtOGNoNHNqtAwC7I6va/s7/3JZZ/0NLsO7K -rH2F7SzuwImKihNXrk8+eCB53cqkyyKTHU4sjyW7/T9vb68il440FRz55U4P -5TMNhgiLMtaEvvJeEa1ScQxBxddzsorbcOrUUPMtvdZhvdVH4mZPcHpypEvg -ykP38Uuss8vgNlAtqz22MTIsaNILgulLM+vtvluora0DAIAQefXO4PeYLIpj -svr8k3+29l22oD311RI2eiHafnaJ91s5LX22VM0n5npHnGtHSY8lKng3eFc1 -8RCkbPl19ccZdOaumPxRo/DqGrexNMuYMqf3dkrEV+c7TPxHzbd0W9d7J2nV -niutiKLj2p53xjztS+Y5Fhm8Bsrrj31/rrGvUarW0wtfdP3UovaCHWDeOgAA -SEAfnZozddVN2it6isasSA9XD68+JnkHbbasqcwAVVNmwLjpB/urXSobMvzG -Bf2sqUFNfCzpzbipb+S2Ecyq+051Ef4r6ZdEld/7r9US26rW3BWxZfSrreKA -dRZEzIguFhtaQc23tFunaLlwvll3NpLeiHEd93aRmPivedhANaqQ6pZi5VVb -ZszZ+4BwvZf71gEAQIrs9lc+07YTbUiPdt/KSU7cdzRr/66V/2vhh3HFItuW -gRBhQVpk8KvLDu5L3BAZ4u4T8VNp7t4tsQv83V5dWyjqKlngPMYwYHZdCn1+ -3KJS0lvJ8vv/e9qUb+7ir+qphD+HeC4qwR2A0O7KY/HhgSFfJq6LeHOKwMU/ -OmugyDSlcxNJRW+T41BwINb5e5jn/PwOWr5l3Dot3VejJs40Lzpuap+/DUTF -19KWhKeQLfZy3joAAMiRXPlo/LTvcUtMop0XN8x+Z+/fmk6vqE2d8sLrpx9Z -bGhPF2nFajfn0FOtqBpryw1xEkT90YmqlfXpfi+9VVB3PmSUs+FsJClZMGbU -7IukZwhF3fd+7pEEj0J1ly50m/ZdLcH4i3WcC3reJVYz31U2ZX8w1mn28Wbd -4gtb5ybKDpTd/drH64sKWhNsxq3TfCsq/HzO2qIustGUrw1UdZUf37Yi1OOp -4S5ReRalgfRw3joAAMgRF4W95Pd/6nHu5nZfi/P0iOlfslc1HXlVEHSsmcLK -uVL4/7P35mFNnN3/f/2rV7V96lKqYlMLgqAgqNRHbFiqtpUK3Wj9ukF/F63V -oqBStxZtn3708eOCbC3WfsGlKqSK2K+VS5TWYosgghYVUVEKCEIAWUICIZkk -M/mRkISQzExmkoHJ4Hn95UXMmfe5zzn33HPPZM6pTxYEmrAwqlA3EXaXb3Z3 -WqY9/0iKPpo4ZdvdntUt9vgsf8K/Mx4UfjR+bIj+ukl8eeFYS9dNytofX3X+ -4Ar+3ozoz7m8WccbiDRre0wnVWs3uSRFi3mvGG5PkJyb+ryb4z5qjDffxLt+ -UB9ApCphhssyclcZ806Niq7sijlUgf8kxFBwUK35+VvxJtexgabbvXbinYUa -AQBAU9YfOvvgbcx3XY+YOCG0UHuiQJt/mcv796FHOGcwupCcm9Lrao/5Ohru -Nz06MmsCP0NIejpU1KT4uBCdvyRXQp19fiC852A8uXWVrpzsadgbZOa6icYA -yiu2e02Juknrpp+V3mHdlYI9h25Z/pk1Vx3sU/ep15vnWgn8ZN07AADI6S6L -8Xw1ocr8ga223MBRI/0zNOtW+YP/6z9hRjLR9gq945mcm7YanZsakMfZiz2D -NRt+PdPBmZBpy3JayDcRkcq9Pl6bje82q0TXsv7fjQ7NGQ2pivfxiCacMjST -27R9/2g87znF+fntMrTalN/fwcC5icYASq4udeMLyE/DvUe10Tvk0dnE1JLe -VqNoR/mZ80LCJ/W46CAma3zYgmhPR0j1j+99bsue3kB4BwAAZVTCjAAf7QnC -BGXTmU+njXp+0psrv927bfZ4z50MdEnGkMbLyQGjR/rs/qOmrSr3Px7PjeLv -u1TXejsz0ulfEyMEN8RIe37c6k1JR35K3hIVX9Buqdy7b2+cEXiy0egE1lEQ -7uYWnq/dHZE/2OnLJ7zh3zO5OYxbuHl3ckrit+u2ndLfS1e03Dq/J2D0CNcN -mVerpISnRsuTG/UBlN/f6Tv/YB2Fq1KbvFO15ES6PTPsKR3DhnvF/UP8EDkH -HcREl1dNd3QLio47nJF+LLdGRnxxyI53AABQp7v8S//wq2RP04qvhDlP2WKX -j8KKCz567UtiZagof8sHewg+N94UGljIBxCTlGwN3VFK/+VLduKdeqg7OEDe -AQBATtffMQvjiB4iV2seN17p4rrmhj3upiOVCcFfkP/AUl6XnZR6qQln8a2d -3PB2M5mGdADldTkpyb81WrldagfeqYe6gwPoHQAAZHTf+d/QuAq8kxPWXVuU -uY0/6ln3b/4U2d92OlJ1YMnuOxav5zCktQ0xWdaqJGWZayeNeOGNfTll4oHz -zOIAorJmkak2modgzzv1UHdwELwDAIAYVUvu5i9+t/DYgd2Btv21LfY3wrvd -AAAAAMdBO64d/ukmnf5NbIN13s44er2DY+dTAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAA4EkD7SiOXxnCn+I0fdn+O1LGHtwfILN2CLOeQjgA -EiA9BhZ53W+ny+n9fMmKrwCUkNWkH/5bjKqRmrSAScGWm6+ya9YOYdZTCAdA -AqTHQIJ13kz84mQ9nXd+WfEVgCqYqlulPedLb6zlryBo2ms3Zu0QZj2FcAAk -QHoMIIraIx//t4zWq1qt+IopmBIuuSwgvb33s9Qq2zuPDI5ZEtiKNbOeQjgG -Ga7o7GXIpIcdIavY9e7/3DHpzySrOb3zm/jUQz/sWh/x5WnT6yPcr6iRhrzj -v9ztspRPGCIsSIsJevX9AtLefNSQVZ/YEh7sP/Ul3qwV6bWad06j4htZgsIW -kmY5lHRi3ZXH186b7PDsKCe/NUcf4PcntwZlY9aSGWHFup4jxGqxznLBwfxW -694GiIoK49dsSjxyOHHjmoQrIqMXN9lktg82Yq1jAAeQJOgQDlMGrPTYTRsy -WVxND64ir9wT8L7JdqaqIWO+z6bbmhd4Y+0X3/H+/651WvqKsunX9R+nUTi/ -Y/LH9cJrMS7jLfSNpaS99sT3F+p7ykLVfHbJy86f6rphdN9JCvvqYhtuRCnq -7L6bsG7/1WZE0XZ9/7vjnvfeW8lMrwWl8PQKPwfekuK+flh4ajFZbe7pv5p7 -lgRoV22lhGZuoq3nl3u+ndXU8zVV46kFnmEXWlEGzPY5wUas9ccewAEkDDqE -w4yBKz0204YUjqYHd0Efn5k/Y92t/ttzyrq0WRNe+76yJ42U9T+9/u+v+7W9 -xflKz/iG+a4pJmtAaIz8/n8t9jSnJF4h1V32yyu2z55/4KHu+g5rzwubHVko -NlufUdWpaLp0sVGXedKbUc4T3ikQ2ypWY7Y+a2vSubiZLsY1Yq5WUS8Id3N2 -8+hhqqf/NrpNG1UN6fwJs4480i4Ke0LpM8H/Z00/cBvN6mEp1loGdACJgs5+ -OFTN2auiS/BHfKiVHsM6tVBMGwtGOJkeXEZ25yuvmbtMOwei7ZdivMdMfO8/ -B3bGbDl6t/8TjOZfUQl/DnRfWmQ8Omhn+YnYUL/AL+M3hr01nefkGyl4aPgG -7cQjtdZzgX49ZXloUkXfCRRr/z3YPSS3zbSrD02dWjqvRUyZQ9j5m4ZURd3J -2NQKcc0PPv1rhEgtMYgwLyU84LXPjhyM3xwe6OoV9lNx9oHt0Yt8XV7bkC/q -KFrkOM5wMu24HPTihKXFjN1LZTHWjA0gw0Ef8HCQNIgfqqXHZtoMofTgNJKr -iyfN/L7GfJS7y3f7u48c7hAQe6FZaeErncVLXGZ+V93fCNZ2wf9Fp2jNukTZ -kPnheId5Jxt116VkiSerzkpOLTC71Ca0puooPblzVZDbc8OdInIMzZpk9772 -8viizGSxQVen5lNR/ur5Gwo68KY9WlKRh+mxhyplasVDsxohUEuGtGy9i2PQ -mWZUjbVkBzrwIv5oR9XK2lSfiW/n1VwMHONoyG9J0aJxY+b9ydjGPWuxZnQA -rQ86LgMcDpLJZ6iWHrtpM2TSg9OIC4In+vzfWpObgkjdTx+/+929zpa/dr09 -btSMr/tt4Jl/RfTnXN6s4w0myaJtip1Urb0MlhQt5r2i35QmSzxlQ8YCnntk -qVkfdWJrGjBJ8SbXsYHZLbp8QaoSZrgsM11/0NWpRkVXdsUcqsB/EoKO1Laq -o7FHqzWLL7wawVdLRnf5Znen3m9Iij6aOGWbZtcVe3yWP+HfGQ8KPxo/NkS/ -EhNfXjiW6kpMKTz1yYJAExZGFRpXIUuxZnoArQ06PgMdjjnuo8Z48+0oHANe -eiynzVBJD04jKfrQ2cewW6yju3yL96yEKk1ksI6/PpnkGnlDSvYVyZVQZ58f -TIz0i29X6crJnt/c0136W7OZTGytl67rn3q9ea5VFxd5xXavKVE3TZ5yp6cT -664U7Dl0i/7Pi80N3rod97r3NG8tU3nDnx7p6jV33U1DceGrJYMk29Prao/5 -Ohp2sB8dmTWBnyFk7E4qO7FmfACZDfoAh4NkYTw0S4/1tBkq6cFpustiPF/t -PQ31gVQl/nvqqt41BvLPvtm+cf8gZF9BquJ9PKJNY6yJ77R92m8qalL8/Hbd -12/ayu/vsCrxTK1hssaHLYg2T5DqH9/7vG9jQXJ1qRtfYBpjOjqRR2cTU0t6 -++aiHeVnzgspP6lH7Lhac7vz4L9dTdZv+GrJMM32rUbZ3oA8zl7sGazZQlCj -zWdCpi3LaWGu/S9bsTbAzAAyG/QBDgfJ5DMUS49JnQbopc1QSQ9OoxJmBPhs -vWvyWyWs607a6v+z6n++Szuw98sth+/0+0UCzlfkD3b68k3vDfbE12Hcws27 -k1MSv1237ZT+dqKi5db5PQGjR7huyLxaJaUcBhxrmOjyqumObkHRcYcz0o/l -1sgMKuX3d/rOP1hn9vMFqjpVLTmRbs8Me0rHsOFe/c7O9KX2gVMjRGqJwJDG -y8kBo0f67P6jpq0q9z8ez43i77tU13o7M9LpXxMjBDfESHt+3OpNSUd+St4S -FV/Qzujjp+zEug8GBhD/ENYGfeDDQTb5DLXSY1ZnH/TSZsikB6fpLv/SP/wq -rQcQcb6CivK3fLCn/4OOxtfFtkPDGiYp2Rq6o7QT58J74HXSNkii1j6xq1ir -rRxAxoPOGnYVDlZLj8G0GTrpwWm6/o5ZGGf6ELkVX5HXZSelXmrqWxhp42u6 -XWg1lK3J63JSkn9rJHy+c4B10jRoSa19Yi+xVls9gIwHnU3sJRwslx6DaTOk -0oPDdN/539C4ClonJ4KvYEhrW+8etFolKctcO2nEC2/syykT27ynRMMaKmsW -IRaW0AOmk7ZBKmrtE3uItdrKAWQ86OxjD+FgtfQYTJshmB6cRdWSu/mL32nd -gbPiKwAAAABAB7Tj2uGfbtJ6MtKKrwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAA10E7iuNXhvCnOE1ftv+O9El8qh5GAGARSD8AwENWk374 -bzGqRmrSAiYFD8V3LloCRgBgEUg/AMAFU3WrtGs16Y21/BUljHU/5w4wAgCL -QPoBHAFTsnNVL72997PUKlrvJRxiDP4IsBVrK+CQVI4CBQgMOkhD3vFf7nZZ -qm0MERakxQS9+n4BrZZkpCgbs5bMCNO3fUHFN7IEhS04HV+wznLBwfxWwjdD -UnIB6648vnbeZIdnRzn5rTn6gE7bZwJk1Se2hAf7T32JN2tFeq3mtcrELlAC -FRXGr9mUeORw4sY1CVdERi9UtDQCFGEh1vjDbnmgOJCWtKRC+gEAHZRNv67/ -OI3CcgiTP64XXotxGU+zXSbZsYWnV/g58IxbknXfSQr76mJbvxrAZLW5p/9q -VvTUTldtpcSsPii60H03Yd3+q82Iou36/nfHPe+9t9LGd/TLa098f6G+x4iq -+eySl50//buL0AVqoK3nl3u+ndXU81VV46kFnmEXWnunB0sjQBFWYk087GQD -xYG0pCkV0g8AaNCTjmG+a4qp9j6U3/8v7VbOhCjqs7YmnYub6dKvXSbWnhc2 -O7JQjPX9N0G4m7ObRw9TPf239e+epqbugqLp0sVG3XQgvRnlPOGdArFtDqAK -qW4jSV6xffb8Aw8VBC5QRNWQzp8w68gj7apXWZfmM8H/Z01Ha0sjQFUuK7Em -G3bCgeJAWtKV+sSnHwDQQSX8OdB9aZFxYaGd5SdiQ/0Cv4zfGPbWdJ6Tb6Sg -r/sy7UmA2Jqi7mRsaoW45gef/pNAT2n9HuwekttGsbTouqCl81rElDmmHayt -8UL7qfh6yvLQpAqZZRcQYV5KeMBrnx05GL85PNDVK+yn4uwD26MX+bq8tiFf -1FG0yHGcYcrquBz04oSlxYzdemYx1nrMhp1goDiUlpB+ADAQdBYvcZn5XXX/ -IsHaLvi/6BStWXgpGzI/HO8w72Sj7jKebBKQVWclpxaY7SXgW0MepsceqpSp -FQ/NJgG17N7XXh5flFFcntF1QfOpKH/1/A0FHXhnP1pe9KDqKD25c1WQ23PD -nSJyWvRfI3ZBWrbexTHoTDOqxlqyAx14EX+0o2plbarPxLfzai4GjnE0TAeS -okXjxsz7k7GbKKzF2vApzrDjDxSH0hLSDwAGAtGfc3mzjjeYlIK2Y3JStXYD -QlK0mPeKfiubbBJQNmQs4LlHlnaZfoBjra3qaOzRas3SD28SQKoSZrgso7pi -o+uCGhVd2RVzqAL/VjQdL4z+DyYp3uQ6NjC7BbPkQnf5Znen3k8kRR9NnLLt -bs96F3t8lj/h3xkPCj8aPzZEv3AVX144lurCVSk89cmCQBMWRhUaz38sxZp8 -2PEHikNpCemnppZ+AEALyZVQZ58fHppsLhgXQlfpysme39zTbRhYs7Fvbu3W -7bjXvad5a5nKG/70SFevuetuGmpNXrHda0rUTelAuIB1Vwr2HLpFv2cj8Zj0 -0nX9U683z7VillwgmRzS62qP+ToaNvwfHZk1gZ8hZOzGMzuxtjDs+APFobSE -9AOAgQCpivfxiDZNYk0hTNv3j6YQFDUpfn677ut3t+X3d1g1CeBbU2tuuR78 -t6vJAlVydakbX0C1Kui4gDw6m5ha0qF9+AjtKD9zXkj5USk8g5is8WELop0P -kOof3/u8b1OF2AXTyWGr0eTQgDzOXuwZrNlxUaPNZ0KmLctpQc1NWAl7sSYZ -dvyB4lBaQvoBwIAgf7DTl296V7anEBzGLdy8Ozkl8dt1207p77sqWm6d3xMw -eoTrhsyrVVLKWUtgrRecSUB+f6fv/IN1lH+iQdUFVUtOpNszw57SMWy4V9w/ -1J/ixTGIiS6vmu7oFhQddzgj/VhujcywGiZyAUMaLycHjB7ps/uPmraq3P94 -PDeKv+9SXevtzEinf02MENwQI+35cas3JR35KXlLVHxBO6OrVnZiTTrsRAPF -obSE9AOAAQEV5W/5YE//50KNNxBsh541TFKyNXRHaSeNXY+Bd4GeQStcGBw4 -FGuQ2p+hkH4AQBd5XXZS6qWmvpWfthASqpicBChak9flpCT/1kj14Vqj7w2o -C3QMWuvC4MChWINUI4ZI+gEAXTCkta1351qtkpRlrp004oU39uWUiW2+qKdn -DZU1ixAr13sD5gI9g7a4MDhwKNYgla5B+08/AAAAAAAAAAAAAAAAAAAAAAAA -AAAAALBT0I7i+JUh/ClO05ftvyOFu++APQJZCgBPGLKa9MN/i1E1UpMWMCk4 -T8S2HgAwB7IUAJ40MFW3SrsMld5Yy19RAp0UADsEsvQJA1Ny5tqYQ1I5ivT2 -3s9SKXSnHVw4FHcOSeUu9pmlAAWQhrzjv9ztslQkGCIsSIsJevX9AtubumDd -lcfXzpvs8OwoJ781Rx/oOgag4htZgsIWklfpsSBVLas+sSU82H/qS7xZK9Jr -EeZ04g8CAygbs5bMCNO/Ds6yWlJQUWH8mk2JRw4nblyTcEVk9MI6rLNccDC/ -1bafl1IbBEhRKtCNO2QpYM8om35d/3EahUUFJn9cL7wW4zKegebX3XcT1u2/ -2owo2q7vf3fc8957K/VvY+m+kxT21UWz5mrsSZXXnvj+Qn2PPFXz2SUvO+v7 -5jCgk3gQbEMpPL3Cz4Fn/KpSMrXkoK3nl3u+ndXU81VV46kFnmEXWnvrHpPV -5p7+q1nR81+6aisl1pY+lUGAFKUEzbhDlgJ2TU9Qw3zX9G8GQII1jXJwUDRd -utioS3HpzSjnCYZO0JqG0nlhsyM1HT7tQqoaVUh12y7yiu2z5x/Qt+qxWSfZ -INiAoj5ra9K5uJn9W+MRqrWAqiGdP8HQ06cuzWeC/8+a3guKekG4m7ObRw9T -Pf23lZM0KVY1Z6+KLiEYDgqDAClKTTC9uEOWAvaNSvhzoPvSIuMMRTvLT8SG -+gV+Gb8x7K3pPCffSEFf/wDa1URqTUvntYgpc4x7DGDtvwe7h+S2mSQoy1JR -8fWU5aFJFX0d3RjSiT8I1kpV1J2MTa0Q15i1bSVQq1YjwryU8IDXPjtyMH5z -eKCrV9hPxdkHtkcv8nV5bUO+qKNokeM4w3TUcTnoRaq9UA2o6o+9GULlGSn8 -QYAUpWKNbtwhSwE7p7N4icvM76r7ZxvWdsH/RadozfJF2ZD54XiHeScbdRfD -ZNUkq85KTi0wuyInsab5VJS/ev6Ggn7Nm2X3vvby+KLMZJHDplRVR+nJnauC -3J4b7hTR18GNGZ0Eg2CVVORheuyhShluS3F8tRqkZetdHIM0LeWwluxAB17E -H+2oWlmb6jPx7byai4FjHA11LilaNG7MvD/pLfQpnpuIBgFS1LI1+nGHLAXs -HNGfc3mzjjeY5JRxsxhJ0WLeK/qbLGTVpGzIWMBzjyztMv2A2JoaFV3ZFXOo -wuT2KlKVMMNlmem6h2Wpak1jnOJNrmMDs1swJnUSDIIVUtuqjsYerdasTPGq -Hl+tBpI+3RkPCj8aPzZEvyIVX144luqKVCk89cmCQA1z3EeN8eZr/7kwqhB3 -biMZBEhRS9asiTtkqU65IUuNIMxSYBCRXAl19vnhoclVunFGdZWunOz5zT3d -VpY1O+RE1rDuSsGeQ7ckZlkgr9juNSXKtM01m1L1dF3/1OvNc60YczoJB4G+ -1Fu34173nuatZSpv+NMjXb3mrrtpmC7w1Wogqfr0utpjvo6GnfxHR2ZN4Gfg -9fomwfJ1E+kgQIpasGZV3CFLATsHqYr38Yg2TQVNRk3bp+0YrahJ8fPbdV+/ -7yy/v8OqajK3hjw6m5ha0qF9mgbtKD9zXmh4/EdydakbX2CaW2xJxWSND1t6 -W+Ig1T++93nfnp7tOkkGwRqpBnBaihOo1WBa9VuNqr4BeZy92DNYs5WiRpvP -hExbltNCue15L5bOTRYGAVKUojU1nbhDlgL2jvzBTl++6e3NnoxyGLdw8+7k -lMRv1207pb8jqmi5dX5PwOgRrhsyr1ZJKccex5qqJSfS7ZlhT+kYNtwr7h9D -vsvv7/Sdf7DO7IcO7EjFRJdXTXd0C4qOO5yRfiy3RmZYO9qqk3QQrJHaB07V -E6nFkMbLyQGjR/rs/qOmrSr3Px7PjeLvu1TXejsz0ulfEyMEN8RIe37c6k1J -R35K3hIVX9BOezlKem6iMAiQohSs9UIj7pClgL2DivK3fLCn/9OVxlfitkPP -GiYp2Rq6o7QTZ/vArqSyqpO2QRK19o9dxV3NnRRVQ5YCHEdel52Ueqmpbwml -zaiEKiariaI1eV1OSvJvjYRPqdqLVJZ10jRoSa39Yy9xV7Meeg5JpWmQ+1kK -DAQY0trWe09FrZKUZa6dNOKFN/bllIltvjSmZw2VNYsQC6sme5DKqk7aBqmo -tX/sIe5q7qQo21IHRC0AAAAAAAAAAAAAAAAAAAAAAAAAAAAADCBoR3H8yhD+ -FKfpy/bfkcI9bGCwgQwEAMAMWU364b/FqBqpSQuYFEzlLeMAwCSQgQAAmIOp -ulXapar0xlr+ihLoRwAMMpCBgBmYkhvXz1zRyWmkt/d+lkqhzStzQFgBYwY/ -A4FBBGnIO/7L3S5LNY8hwoK0mKBX3y9goDWKrPrElvBg/6kv8WatSK/V/HAc -Fd/IEhS2mL1Li12dOpSNWUtmhOnf/cWQVKy78vjaeZMdnh3l5Lfm6AP8/gOD -oZYUVFQYv2ZT4pHDiRvXJFwRGb35DessFxzMb7X1d5oQVksMWLFABgJ2jLLp -1/Ufp1FYeGDyx/XCazEu4xnoIi2vPfH9hXpE07D77JKXnfVtYrrvJIV9ddGs -RRl7OvXHFp5e4efAM34vJQNSu+8mrNt/tRlRtF3f/+645733VjLzshiaaslB -W88v93w7q6nnq6rGUws8wy609s4NmKw29/RfzYqe/9JVWymxdnqAsFpk4IoF -MhCwX3oCH+a7pv976kmwpuMM7mEVUt3WjLxi++z5B/SNZLD2vLDZkZo+mfah -U4uiPmtr0rm4mf37oNksVdF06WKjbi6Q3oxynmBoKj2Yai2gakjnTzB0xqlL -85ng/7Omg4GiXhDu5uzm0cNUT/9t5TiNSqkAYaXAgBXLk5KBqubsVdElVJMM -sA9Uwp8D3ZcWGYcN7Sw/ERvqF/hl/Mawt6bznHwjBX2vtqc9OZBa67nWv56y -PDSpoq+BH9b+e7B7SG6bSQazqFNRdzI2tUJcY9ajkyGpWjqvRUyZY9qxYDDU -qtWIMC8lPOC1z44cjN8cHujqFfZTcfaB7dGLfF1e25Av6iha5DjOMGV1XA56 -kWpHUSpAWCmq1X46UMXCrFQ7zEDL3S0B+6OzeInLzO+q+2ck1nbB/0WnaM0S -R9mQ+eF4h3knG3UXzGSTg6w6Kzm1wOyqndCaqqP05M5VQW7PDXeK6GvYJ7v3 -tZfHF2UmqyDWdCIP02MPVcpw+0czI1XzqSh/9fwNBbh9oAdYrQZp2XoXxyBN -YzasJTvQgRfxRzuqVtam+kx8O6/mYuAYR8NcIClaNG7MvD8Zu98DYaWkVj2w -xcKkVLvMQDg3cRHRn3N5s443mOSdcdcVSdFi3iv6LW6yyUHZkLGA5x5Z2mX6 -AbE1DZikeJPr2MDsFl1ZIFUJM1yWmS6MWNLZVnU09mi1Zj2IV2vMSFWjoiu7 -Yg5V4N+HHmi1Gki6XWc8KPxo/NgQ/apVfHnhWKqrVqXw1CcLAk1YGFVoPP9B -WCmoHfBiGfoZOMd91BhvPl4GAnaL5Eqos88PD02u5I2zrqt05WTPb+7pNhKs -2fAnttZL1/VPvd4816pLGHnFdq8pUabNotnReet23Ove07y1TOUNf3qkq9fc -dTcNRcqEVKy7UrDn0C0J7XJhSK0Gkpkhva72mK+jYbf/0ZFZE/gZeB2zrQPC -alntQBfLE5CBcN3ERZCqeB+PaNN00WTdtH3a1suKmhQ/v1339XvT8vs7rJoc -TK1hssaHLb3dWpDqH9/7vG+bQnJ1qRtfYJp8bOk0gNM/mgGpyKOziaklHdrH -jtCO8jPnhZSfk2JIrQbTmWGr0czQgDzOXuwZrNluUaPNZ0KmLctpodw/3CIQ -VipqB7JYnogMhHMTJ5E/2OnLN70F2pN1DuMWbt6dnJL47bptp/R3TRUtt87v -CRg9wnVD5tUqKeX8wLGGiS6vmu7oFhQddzgj/VhujcywaJPf3+k7/2Cd2S8h -2NHZB06t2SpV1ZIT6fbMsKd0DBvuFfcP9Ud4mVKLIY2XkwNGj/TZ/UdNW1Xu -fzyeG8Xfd6mu9XZmpNO/JkYIboiR9vy41ZuSjvyUvCUqvqCd0Ud1IayW1Q5c -sTwpGQjnJm6CivK3fLCn/xOYxlfrtkPDGiYp2Rq6o7QTZ3/BrnSqWZZK2yCJ -WnaBsPaHK8VC26DdZiBgz8jrspNSLzX1LbO0WZdQxeTkQMWavC4nJfm3RsLH -WO1Fp5p1qTQNWlLLLhBWI7hSLDQN2ncGAvYMhrS29e5oq1WSssy1k0a88Ma+ -nDKxzRs4NKyhsmYRYmFZZQ862ZY6IGrZBcJK1yCHpFJUCwAAAAAAAAAAAAAA -AAAAAAAAAAAA8GSBdhTHrwzhT3Gavmz/HemTeEsVRgBgEUg/AMBDVpN++G8x -qkZq0gImBT+JP6GDEQBYBNIPAHDBVN0q7VpNemMtf0UJYw0auAOMAMAikH4A -R8CU7FzVS2/v/SyVQoPUocvgjwBbsbYCDknlKFCAwKCDNOQd/+Vul6XaxhBh -QVpM0KvvF9jewAfrrjy+dt5kh2dHOfmtOfpA93p+VHwjS1DYYvbKrZ7/31ku -OJjfSvgrP2ouyKpPbAkP9p/6Em/WivRahn4ir2zMWjIjTP/qMGIXKIGKCuPX -bEo8cjhx45qEKyKjt8ZZGgGKcCDWLErVQzemkH4AwDjKpl/Xf5xGYTmEyR/X -C6/FuIxnoCl2992EdfuvNiOKtuv73x33vPfeSn2ldt9JCvvqYv9OZpisNvf0 -X82Kntrpqq2UmNUHRRfktSe+v1CPaHo0n13ysnO/zjhWoxSeXuHnwDN+rSWe -C9RAW88v93w7q6nnq6rGUws8wy609k4PlkaAqlj7jzWrUvXHphdTSD8AYJ6e -dAzzXdP/XfYkWNNABwdF06WLjboZSnozynmCoeeypnVzXtjsSE07Tf1/rheE -uzm7efQw1dN/W7lp30zKLqAKqW7fR16xffb8A6YdbqxxpD5ra9K5uJn926iZ -uUARVUM6f4KhVU1dms8E/581LQUsjQBFOBBrdqXqBNOLKaSfsYnm7FXRJVTD -BgDEqIQ/B7ovLTJOJrSz/ERsqF/gl/Ebw96aznPyjRT0vf6e9iRAak1L57WI -KXOMX+iPtf8e7B6S20axtOi6oEbF11OWhyZVyMxt0XRBUXcyNrVCXGPW4pPQ -BUSYlxIe8NpnRw7Gbw4PdPUK+6k4+8D26EW+Lq9tyBd1FC1yHGeYujsuB71I -tcUnFTgUaxal0o0ppF+/0YBuFABDdBYvcZn5XXX/FRzWdsH/RadozcJL2ZD5 -4XiHeScbdZfxZJOArDorObXAbC+BxJrmU1H+6vkbCvq1SZbd+9rL44syilcH -9FxQdZSe3LkqyO254U4RfT3arHIBeZgee6hShtt+mtgFadl6F8cgTac0rCU7 -0IEX8Uc7qlbWpvpMfDuv5mLgGEfDdCApWjRuzLw/GbuJwqFYsyaVfkwh/YyB -cxPAFKI/5/JmHW8wqQbjziySosW8Vwx74ySTgLIhYwHPPbLUbBed2JoaFV3Z -FXOoorv/Ag+pSpjhsozqio2uCxowSfEm17GB2S39D0zHhbaqo7FHqzULWLzJ -gdgFkvbTGQ8KPxo/NkS/cBVfXjiW6sJVKTz1yYJAExZGFRqfBzgUa5akWhNT -SD+1cfrNcR81xpuPl34AQAvJlVBnnx9Md76Na6GrdOVkz2/u6XYgrNnYJ7KG -dVcK9hy6JTHLX3nFdq8pUaY9pZlyoZeu6596vXmulWLtmFu7dTvude9p3lqm -8oY/PdLVa+66m4ZZhdgFkskhva72mK+jYcP/0ZFZE/gZeC2srYNDsWZHqlUx -hfQzBq6bAKZAquJ9PKJNk1hTC9P2adszK2pS/Px23ddvl8vv77BqEjC3hjw6 -m5ha0qF9DgjtKD9zXmh4plZydakbX0C1Kqi7gMkaH7b0tpFBqn9873PzTRV6 -LujAaT9N4oLp5LDVaHJoQB5nL/YM1uy4qNHmMyHTluW0UO49bhEOxZo9qTqo -xxTSzxg4NwGMIX+w05dvfHdaQ08tOIxbuHl3ckrit+u2ndLfyFW03Dq/J2D0 -CNcNmVerpJSzFseaqiUn0u2ZYU/pGDbcK+4fw3Qlv7/Td/7BOso/0aDqAia6 -vGq6o1tQdNzhjPRjuTUy6hsOBAPSC87kQOQChjReTg4YPdJn9x81bVW5//F4 -bhR/36W61tuZkU7/mhghuCFG2vPjVm9KOvJT8pao+IJ2Rp/W5VCs2ZHaB42Y -QvoZAecmgDlQUf6WD/b0fy7UeA/BduhZwyQlW0N3lHbS2KkeAi4MDhwaKJBq -tTW7TT8AoIu8Ljsp9VJT38pPWwsJVUxWFkVr8rqclOTfGmn/8mMIuDA4cGig -QKo11uw7/QCALhjS2ta7Fa5WScoy104a8cIb+3LKxDbvKdGzhsqaRYiV670h -4MLgwKGBAqlDL/0AAAAAAAAAAAAAAAAAAAAAAAAAAAAA60E7iuNXhvCnOE1f -tv+O9Em8PQwjALALZCAAmCGrST/8txhVIzVpAZOCn8SfA8IIAOwCGQgA5mCq -bpV2oSa9sZa/ooSxThPcAUYAYBfIQGBwwZRcujiX3t77WSqF9qlDl8EfAW5l -CDDQQA0C1oI05B3/5W6XpQkFQ4QFaTFBr75fwFhPIbWyMWvJjDD928BQ8Y0s -QWEL5Vfp9crqrjy+dt5kh2dHOfmtOfrAuAkD1lkuOJjfSviLRWqOy6pPbAkP -9p/6Em/WivRahn7rz4DjfaCiwvg1mxKPHE7cuCbhisjonXKWRoAiLGQIflgt -DxQlqSQ5Yxt0wwoZCABEKJt+Xf9xGoVVDSZ/XC+8FuMynqnm15q+L6dX+Dnw -jN9U2X0nKeyri2b91Yjpvpuwbv/VZkTRdn3/u+Oe995bqatdTFabe/qvZkVP -4XTVVkrMLFJ0XF574vsL9Yim3/TZJS8792vEYzVMOG4AbT2/3PPtrKaer6oa -Ty3wDLvQ2js3WBoBqmLZyBDCsJIOFEWpxMZtg2ZYIQMBgJCerArzXdP/Dfsk -WNMohxBFfdbWpHNxM/t3RsPa88JmR2qafFIz0nTpYqNuZpHejHKeoGsqragX -hLs5u3n0MNXTf1u5aQ9Qyo6jCqlui0pesX32/AOmrXqsgBHHDaga0vkTDG13 -6tJ8Jvj/rGmPYGkEKMJOhhCFVQPhQFGVSmbcFs30wgoZCADEqIQ/B7ovLTKu -D7Sz/ERsqF/gl/Ebw96aznPyjRT0vZSf9sxDbE1RdzI2tUJcY9a1E2v/Pdg9 -JLfNtEJIhWnpvBYxZY5puwJmHFej4uspy0OTKmTmtgbacTUizEsJD3jtsyMH -4zeHB7p6hf1UnH1ge/QiX5fXNuSLOooWOY4zzK4dl4NepNqulAosZoges7AS -DBTtmOIat1Yt3bBCBgIACZ3FS1xmflfdvzKxtgv+LzpFa9ZPyobMD8c7zDvZ -qLsaJ5t5ZNVZyakFZlsC+NaQh+mxhypluB2lZfe+9vL4osx8lUUiTPOpKH/1 -/A0F1PpA03Nc1VF6cueqILfnhjtFmLeEG3jH1dKy9S6OQZqub1hLdqADL+KP -dlStrE31mfh2Xs3FwDGOhrlAUrRo3Jh5fzJ2R5C1DDF8ihNW/IGiK5XAuFVq -6YcVMhAASBD9OZc363iDSVIb94uRFC3mvWLY4iaZeZQNGQt47pGlZpvhONba -qo7GHq3WLOLwCgSpSpjhsgxv4UUsTI2KruyKOVRB9a42Xcc1YJLiTa5jA7Nb -+h9jMBwnaaWd8aDwo/FjQ/SrVvHlhWOprlqVwlOfLAg0YWFUofFUzVKGkIcV -f6Box5Q0ZwY6rJCBamoZCDyZSK6EOvv8YLqBbZzSXaUrJ3t+c0+3kWDN3QRz -a7dux73uPc1by1Te8KdHunrNXXfTUFnyiu1eU6JM21yTCcO6KwV7Dt2SUM9o -uo730nX9U683z7VSPAyDjpPMDOl1tcd8HQ27/Y+OzJrAz6Da0N4y7GSIhbDi -DxQ9qfRzhtCgVWGFDAQAEpCqeB+PaNNc1KT0tH3aztmKmhQ/v1339bve8vs7 -rJp58K2pcTtKqyVXl7rxBXjJjW8KeXQ2MbWkQ/tkENpRfua80PJTV9Qdx2SN -D1t6W+Ig1T++97n5jsogOG46M2w1mhkakMfZiz2DNdstarT5TMi0ZTktlDuT -W4S9DCEJK/5A0ZFqTc5Y9F1NJ6yQgQBAhvzBTl++6a3gnpR2GLdw8+7klMRv -1207pb8fq2i5dX5PwOgRrhsyr1ZJKScfgbVecApEfn+n7/yDdXi/tMAxpWrJ -iXR7ZthTOoYN94r7h8o0Q9VxTHR51XRHt6DouMMZ6cdya2TU19lMOY4hjZeT -A0aP9Nn9R01bVe5/PJ4bxd93qa71dmak078mRghuiJH2/LjVm5KO/JS8JSq+ -oJ3RJSs7GUIaVqKBoirV2pwh9b0XGmGFDAQAMlBR/pYP9vR/vNN4K8B26FnD -JCVbQ3eUduIWIJPCOOU4m3BooAZeKm2DrKodIhkIPLHI67KTUi819S3gtCmd -UMVkgVC0Jq/LSUn+rZHoiV5mhXHIcZbh0EANsFSaBllWO3QyEHhiwZDWtt4d -bbVKUpa5dtKIF97Yl1MmtvnanJ41VNYsQoiWbcwK08EFx+0CDg3UgEnlltqh -loEAAAAAAAAAAAAAAAAAAAAAAAAAAABDCrSjOH5lCH+K0/Rl++9Ibb1fy6y1 -gTYLDDKQHoMPFDjATWQ16Yf/FqNqpCYtYFJwnsierA20WWCQgfQYfKDAAY6C -qbpV2mWK9MZa/ooSG9+9z6y1gTYLDDKQHoMPFDjAEJiSnQta6e29n6VS6L7K -hrWBNksCW+GwAg5JhfQYfKDAATOQhrzjv9ztspTEGCIsSIsJevX9Att7s2Dd -lcfXzpvs8OwoJ781Rx/o2hSg4htZgsIWnFfpYZ3lgoP5rdb8IFHZmLVkRlj/ -HmrWW9O8aqYwfs2mxCOHEzeuSbgiMnprnE1m++BAOFiUqpZVn9gSHuw/9SXe -rBXptQglnSRAelCAoTHHT7Pej56gAgcoomz6df3HaRRWApj8cb3wWozLeAZ6 -snffTVi3/2ozomi7vv/dcc97763Uv1el+05S2FcX+7dJw2S1uaf/alb0pE1X -baWEVmoohadX+DnwjN5paYs1bSft5Z5vZzX1fE3VeGqBZ9iFVpQBs3167T8c -rEqV1574/kJ9jzxV89klLzvr2xuR6SQD0oMCTI05YZo9SQUOUKUnEmG+a/q/ -KJ8Ea7rz4KBounSxUZeX0ptRzhMMDZ01faHzwmZHanp16v9zvSDczdnNo4ep -nv7bynGachIfqD5ra9K5uJl9PdRssdaDqiGdP8HQqqYuzWeC/8+algI0zKqa -s1dFl+CPOAfCwa5UNaqQ6nap5BXbZ88/oG+ARKiTDHtMDzK4PeZEafYkFThA -GZXw50D3pUXG44h2lp+IDfUL/DJ+Y9hb03lOvpGCvnfr0852UmtaOq9FTJlj -3CoAa/892D0kt43qLEN8CEXdydjUCnGNeX9PEhBhXkp4wGufHTkYvzk80NUr -7Kfi7APboxf5ury2IV/UUbTIcZxh6u64HPQi1RafBlT1x94MwX/Qh0PhYFkq -Kr6esjw0qaKv8R5R2nAtPUgYAmOuxyzNrFJlnxEkKXCAOp3FS1xmflfdP0Ww -tgv+LzpFa9ZDyobMD8c7zDvZqLuCJct2WXVWcmqB2SU+iTXNp6L81fM3FPTr -wSy797WXxxdl1Bc8+IdAHqbHHqqU4faeJkVatt7FMUjTKQ1ryQ504EX80Y6q -lbWpPhPfzqu5GDjG0ZCskqJF48bM+5PewpQkdTkUDjalqjpKT+5cFeT23HCn -iL5Ge4Rpw630IIHzY274FCfNyOBWBOHcxAiiP+fyZh1vMMlQ47YvkqLFvFf0 -O8xk2a5syFjAc48s7TL9gNiaGhVd2RVzqKK7f44iVQkzXJbRWazgHKKt6mjs -0WrN8op26pK0n854UPjR+LEh+mWV+PLCsVSXVUrhqU8WBGqY4z5qjDdf+8+F -UYXGBcqhcLAsVa1pN1S8yXVsYHYLRqaTwI4dp4cR9pUeahvHnDzNSOFWBIkL -HKCO5Eqos88PD00urY0zoat05WTPb+7pruOt2cEmsoZ1Vwr2HLolMQudvGK7 -15Qo027V9A5x63bc697TvLVM5Q1/eqSr19x1N80qEReS1E2vqz3m62jYjn50 -ZNYEfgZeC2sSSJZVHAoHm1L1dF3/1OvNc60YmU58O3acHiRwe8wtpBlNVXYc -QbhuYgSkKt7HI9o0tzSZMG2ftk21oibFz2/Xff1msfz+Dquy3dwa8uhsYmpJ -h/YRGLSj/Mx5oaEDmuTqUje+gE5CEAtW4/aeJsc0dbcapW4D8jh7sWewZj9A -jTafCZm2LKeFcu/xXkhSl0PhYEsqJmt82NLbaAip/vG9z/v2l4jThlPpQQL3 -x5wkzWirMmBvEYRzEzPIH+z05Zvek+zJBIdxCzfvTk5J/HbdtlP625iKllvn -9wSMHuG6IfNqlZRywHCsqVpyIt2eGfaUjmHDveL+MSSp/P5O3/kH6+j8coJA -cC/0UhdDGi8nB4we6bP7j5q2qtz/eDw3ir/vUl3r7cxIp39NjBDcECPt+XGr -NyUd+Sl5S1R8QTvtVTFZ6nIoHOxIxUSXV013dAuKjjuckX4st0ZmWH+TpA2n -0oMMbo85aZrRVtWHvUUQzk0MgYryt3ywp/8jkcZX0LZDzxomKdkauqO0k9Y1 -P7OC2YRD4bArqaRpA+lBHfsc86ETQYAW8rrspNRLTX2rMW0mJFQxmVcUrcnr -clKSf2uk9GiplYewezgUDnuRakEnpAd17HPMh1QEAVpgSGtb74ayWiUpy1w7 -acQLb+zLKRPbvCNBzxoqaxYhdB9rYVawXcChcNiDVFKdkB7Usc8xH4IRBAAA -AAAAAAAAAAAAAAAAAAAAAAAAGPqgHcXxK0P4U5ymL9t/R8rYK04GyKwdwqyn -T864AQAAECOrST/8txhVIzVpAZOCGfvR3gCZtUOY9fTJGTcAAAASMFW3Srs6 -l95Yy19RwlRLhQEya4cw6+mTM24AMLTAlLDNMSBIb+/9LJVCS1P7MEsCWxnC -rKeDP24AAPQHacg7/svdLksTCoYIC9Jigl59v8D2jjRYd+XxtfMmOzw7yslv -zdEHuvflo+IbWYLCFpJX6VGSim/cFmTVJ7aEB/tPfYk3a0V6LUJJKgnKxqwl -M8L6vQEM6ywXHMxvte6nhaioMH7NpsQjhxM3rkm4IjJ6eZpNZvtgIUP09B8r -4mG3wlOSPLFkbWjkIQDYM8qmX9d/nEZhfYjJH9cLr8W4jGegy3P33YR1+682 -I4q26/vfHfe8995K/etIuu8khX110aznGR2pxMatRF574vsL9Yim2/LZJS87 -6zvRkEklQyk8vcLPgWf0dkpMVpt7+q9mRc9U01VbKaFpEW09v9zz7aymnq+p -Gk8t8Ay70IoyYLZPLxsZoj+22VjhDrtVnhLmiSVrQyQPAcCe6ZnXwnzXUH6/ -vDUdYXBQNF262KgrVOnNKOcJhibImj7PeWGzIzUtLq2USmbcOlCFVLdLJa/Y -Pnv+AX0HHUKppPLqs7YmnYub2dcNTVEvCHdzdvPoYaqn/7Zy6g1/taga0vkT -DB1n6tJ8Jvj/rOlaQMOsqjl7VXQJ/siykyG9mI+VBrNht24AifLEkrUhkocA -YNeohD8Hui8tMq4ztLP8RGyoX+CX8RvD3prOc/KNFPS9kp72zENqTUvntYgp -c4zf+4+1/x7sHpLbZlJpdKXiG7dFLSq+nrI8NKmir9cagVQSO4q6k7GpFeIa -Wp06EWFeSnjAa58dORi/OTzQ1Svsp+LsA9ujF/m6vLYhX9RRtMhxnGHe67gc -9CLVTp0GSN7qz2KGEI4V0bDTP4QeGnnCpTwEAM7SWbzEZeZ31f1rBmu74P+i -U7RmHaZsyPxwvMO8k426DQOymUdWnZWcWmC2tUBiTfOpKH/1/A0F/foWy+59 -7eXxRZnJepWuVALj1qpVdZSe3LkqyO254U4Rfb3V8KUS2kEepsceqpTR7yIt -LVvv4hikaXiGtWQHOvAi/mhH1craVJ+Jb+fVXAwc42g4G0mKFo0bM+9Petct -JOcm1jKEbKwIh50I6/PEDG7lIQBwFNGfc3mzjjeYVIZxtxRJ0WLeK/qdbbKZ -R9mQsYDnHllq1haZ2JoaFV3ZFXOowuQmMVKVMMNlmenSn65UAuM2qFVrWtYU -b3IdG5jdgpFJJbDTVnU09mi1Zv1L+9xE0kU640HhR+PHhuivm8SXF46let2k -FJ76ZEGghjnuo8Z487X/XBhVaDyJspQh5GNFPOxEWJsn5nArD/tCbIRJiAHA -DpFcCXX2+eGhyV6DcV10la6c7PnNPd3+gTV3E4isYd2Vgj2HbknMqkResd1r -SpRp62l6UgmNW6tWT9f1T73ePNeKkUnFt3Prdtzr3tO8tUzlDX96pKvX3HU3 -zSYlXEjOTel1tcd8HQ33mx4dmTWBn0Gnob2a9LqJnQyxMFbEw079ENbmCcfy -EAC4CVIV7+MRbZrTmrqYtk/bL1lRk+Lnt+u+frNbfn+HVTOPuTXk0dnE1JIO -7QNlaEf5mfNCw0NMkqtL3fgC0+mVjlQS49aoxWSND1t6m9Ug1T++93nfXgq+ -VGJhOuh1kVabn5u2Gp2bGpDH2Ys9gzUbfmq0+UzItGU5LZRbcPdCcm5iL0N0 -4I0V8bDTO4Q1ecKxPAQAjiJ/sNOXb3qTtqcuHMYt3Lw7OSXx23XbTulvwypa -bp3fEzB6hOuGzKtVUsrTH441VUtOpNszw57SMWy4V9w/hqqV39/pO/9gndkv -NqhKJTVujVpMdHnVdEe3oOi4wxnpx3JrZIZFMJFUfDt90Ds3YUjj5eSA0SN9 -dv9R01aV+x+P50bx912qa72dGen0r4kRghtipD0/bvWmpCM/JW+Jii9opz1F -kZybWMqQPnDGimTYaRzC2jzhVh4CAFdBRflbPtjT/0FZ4/0E26FnDZOUbA3d -UdqJswky8FLpGSSROgDCWINDGcLUIcjhVB4CAIeR12UnpV5q6lsIausioYrJ -mYeiNXldTkryb42Ez9oOsFQ6Bi1IZVwYm3AoQxg4BCUVXMlDAOA2GNLa1ruR -rVZJyjLXThrxwhv7csrENm9g07OGyppFiIXl34BJpWeQVCrjwtiHQxli4yEo -woU8BAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA2QDuK41eG8Kc4TV+2/44U7mrb -C8zGxZ6tAQAAmCGrST/8txhVIzVpAZOCCX7/Cgw6zMbFnq0BAACYg6m6VdqF -r/TGWv6KEnq9LYABg9m42LM1ABgqYEpubCJwRWcv0tt7P0ul0Fv2SYWtaDIb -F3u2BgD2B9KQd/yXu12Wih9DhAVpMUGvvl/AQFdTWfWJLeHB/lNf4s1akV6r -+fk7Kr6RJShsIXkpGBs6dSgbs5bMCNO/1c2yVDxZ3ZXH186b7PDsKCe/NUcf -GPdMwDrLBQfzWwl/ZUnJcRL7tsGA73hwIJqW4oKDDVHGw7xMbLEGAFxC2fTr -+o/TKKy+MPnjeuG1GJfxDHTcltee+P5CPaLpBn52ycvO+t403XeSwr66aNZo -jT2d+mMLT6/wc+AZv3GUTCou3XcT1u2/2owo2q7vf3fc8957K3UzDSarzT39 -V7OiZ5Lsqq2UmFmk6DihfRthwnccq/YfTUtxwcXqKONCUCZWWgMALoG2ng/z -XUO5W4M13XlwD6uQ6vZo5BXbZ88/oG+Hg7Xnhc2O1HT7tA+dWhT1WVuTzsXN -7N/hjlAqgZGmSxcbdfOU9GaU8wRdF3VFvSDczdnNo4epnv7byk1bl1J1nMi+ -jTDiuxkciKaluBAYtzLKBBCUCQ1rqubsVdEl1JuxAICdoBL+HOi+tMg4d9HO -8hOxoX6BX8ZvDHtrOs/JN1LQ17SA9ixBak2Niq+nLA9Nqujrmoa1/x7sHpLb -ZjLrsahTUXcyNrVCXGPWfZVAqgWXNXRei5gyx7TLAj50Hadrn2HfqcGlaNI/ -hB46UaBbJpQh634CAHZMZ/ESl5nfVfevH6ztgv+LTtGaRaSyIfPD8Q7zTjbq -dg3IZglZdVZyaoHZTg+hNVVH6cmdq4LcnhvuFNHXJU1272svjy/KTJaCrOlE -HqbHHqqU4XYGx5dKLkzzqSh/9fwNBdS6YtN13IL9gfd9IJxiN5pEMBhlMmv4 -ZUIVODcBHEX051zerOMNJhlv3DtGUrSY94pho5tkllA2ZCzguUeWmjUZJ7am -AZMUb3IdG5jdoitipCphhktvh1f2dbZVHY09Wq1ZwOLNZvhSLbiMiq7sijlU -QfVJBbqOk9sfBN+VwlOfLAg0YWFUofEkzbFoEsFclC1YU5uXiQX6ojDHfdQY -bz5eFADAnpFcCXX2+eGhyb6DcZl0la6c7PnNPd12gjU7/8TWeum6/qnXm+da -dVUjr9juNSXKtOU1Ozpv3Y573Xuat5apvOFPj3T1mrvupmHGwJdKJgzrrhTs -OXRLQn2GoOc4ffuEBq32nXGnWI8m9UPYEgV6ZUIVuG4COApSFe/jEW1akJoy -mbZP20BaUZPi57frvn7vW35/h1WzhKk1TNb4sKW37QxS/eN7n/dtVkiuLnXj -C4Qma2q2dBrA66KOL5XYFPLobGJqSYe2VTnaUX7mvNDyk3R0HLfGPvO+U4Bj -0aR3CGujQK9MqALnJoCryB/s9OWb3rDtKROHcQs3705OSfx23bZT+ruyipZb -5/cEjB7huiHzapUUpXoIHGuY6PKq6Y5uQdFxhzPSj+XWyAyrQfn9nb7zD9aZ -/daEHZ194MxmRFLxTalaciLdnhn2lI5hw73i/qEyaVF13Fr7jPtOBW5Fk8Yh -bIgCrTKhDJybAM6CivK3fLCn/2OoxtsLtkPDGiYp2Rq6o7QTpwbtSqeaVCqz -wgbecdoGSX2nBKeiycwhBtcaAAwF5HXZSamXmvpWsdoySahisuioWJPX5aQk -/9ZI+NCtvehUW5TKrLCBdpymQUthogh3osnEIQbbGgAMETCkta13X1utkpRl -rp004oU39uWUiW3+wTkNa6isWYRYWLjag05LUpkVpmPAHKdtkEqYKMKFaDJz -iMG1BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA06AdxfErQ/hTnKYv239HCi/K -4TAQSgAAhgqymvTDf4tRNVKTFjApGH76yWEglAAADBkwVbdKu8KW3ljLX1FC -4/2pgJ0BoQSGFpiSMxf/HJLKOaS3936WSqG5LXNwKJockqpmI5QAgHVXHl87 -b7LDs6Oc/NYcfUDwXn+kIe/4L3e7LJUThggL0mKCXn2/wPYupfjCUPGNLEFh -C8mLz1iQqkfZmLVkRpj+RW0MSaUWoEFQi4es+sSW8GD/qS/xZq1IrzV+qwHW -WS44mN9q6y9JIfGowEAoSdLMUiipOU6cKjbARA4Ddkr33YR1+682I4q26/vf -Hfe8995K86xRNv26/uM0CqsmTP64XngtxmU8Ax20iYV130kK++qiWT859qTq -jy08vcLPgWf8ElEGpFIJ0CCoxUVee+L7C/WIpvf32SUvO/e1HMJktbmn/2pW -9EwXXbWVEmtPUJB4lGAilIReWwolRccJU8UWmHAcsFcUTZcuNuqyUHozynnC -OwVik/+Ctp4P813Tv6MACdZ026EpDGvPC5sdqekRahdSdYLrs7YmnYub2b9p -nc1SKQRoENQSgCqkup0pecX22fMP6HoyKeoF4W7Obh49TPX031ZuXXtcSDyK -gpkIJZHXlkJJ2XGCVLEF6x1XNWevii6hGi2AfTqvRUyZY9q6QK0S/hzovrTI -OJBoZ/mJ2FC/wC/jN4a9NZ3n5Bsp6GtCQLvuSK3hC8Pafw92D8ltM8k/FqUq -6k7GplaIa8waqjIkFX8cBkutBW2o+HrK8tCkCpmaSSDxqFhjOJS4XhNDO43p -pgqDjhvLhtYhnAIT5a+ev6HArG1zZ/ESl5nfVffPVKztgv+LTtGa1YmyIfPD -8Q7zTjbqLqPJ6k5WnZWcWmB2wU1ijUCY7N7XXh5flJms4liTijxMjz1UKcNt -9s2MVIJxGCS1ZNpUHaUnd64KcntuuFME/eZ3JEDiWbbGbCgJvSaEnuPkqTLw -jhuAcxOXQEVXdsUcqsC50S76cy5v1vEGk5QxbjcjKVrMe8WwgUxSd8qGjAU8 -98hSs61mYmsEwpCqhBkuy4pNHmllSWpb1dHYo9Wa1RxepTAjlSRAg6DWgja1 -pgNS8SbXsYHZLdT2kJTCU58sCDRhYVSh8YwIiWfJ2gCEkjTNzKGdxmrCVBkE -x/uybo77qDHefLysA+wLrLtSsOfQLQluiCRXQp19fjDdHjZOmK7SlZM9v7mn -u0y3Zi+dyBqhMHnFdq8pUaZtvdmReut23Ove07y1TOUNf3qkq9fcdTcNJcaE -VNIADYJaMm16uq5/6vXmuVbmyhwSz4I1xkNJP83oOt4LvVRh0HE9cN3EEZBH -ZxNTSzq07a7RjvIz54X9HgRDquJ9PKJNI61JmGn7tA2nFTUpfn677uv3lOX3 -d1hVd+bWSIRJri514wuEJus19qTqwGn2zYBUCwEaBLVEpjBZ48OW3t5HSPWP -733O6J4eJB5Fa2omQmldmlF33PpUYdBxPXBu4gKqlpxIt2eGPaVj2HCvuH9M -UlL+YKcv3/TWaE/COIxbuHl3ckrit+u2ndLf7VS03Dq/J2D0CNcNmVerpChV -FTjWSIXJ7+/0nX+wzux3DOxI7QOnUmyVSiFAg6AW3xQmurxquqNbUHTc4Yz0 -Y7k1Mmb3RiDxKFjrxeZQWptmVB23IVUYdFwPnJuGCqgof8sHe/o/Pmp8oW07 -9KxhkpKtoTtKO3HSG6T2hzG1A6DNMhBNq60NWig55TgwBJHXZSelXmrqWx5p -Eyahisn0o2hNXpeTkvxbI+ETriDVCAbVMq6NEhBNa6wNbii54zgwNMGQ1rbe -/WK1SlKWuXbSiBfe2JdTJrb5DgM9a6isWYRYWBSBVKbVMq6NBhBN+w8lFxwH -AAAAAAAAAAAAAAAAAAAAAAAAAAAABgu0ozh+ZQh/itP0ZfvvSG29j8usNYAt -ICsAAGAVWU364b/FqBqpSQuYFGzrzwGZtQawBWQFAADsgqm6VdqFrPTGWv6K -EpwXc7JnDWALyAoAoA+m5MymAIekSm/v/SyVQtdUNqxRgStDzRWdvXA9KwDA -NpCGvOO/3O2yVLQYIixIiwl69f0C2/t1Yt2Vx9fOm+zw7CgnvzVHH+heyY+K -b2QJCltI3oTFglS1rPrElvBg/6kv8WatSK9FKOnE04Trcu9HneWCg/mt1vxQ -UdmYtWRGWP/eatZbM4YrQ82GTh39B/+JyAoAGDSUTb+u/ziNwmoKkz+uF16L -cRnPQC/p7rsJ6/ZfbUYUbdf3vzvuee+9lfo3knTfSQr76qJZgzH2pMprT3x/ -oR7R9HE+u+RlZ30nGjKduBC6jMlqc0//1azomdy6aisltCYPpfD0Cj8HntG7 -Lm2xZmyYI0PNik79sc0Gf6hnBQAMHmjr+TDfNf1fMU+CNX1ncFA0XbrYqCtC -6c0o5wnvFIj1n2HteWGzIzVdLu1CqhpVSHXbQPKK7bPnH9D3qiHUiQ+Ry4p6 -Qbibs5tHD1M9/beVkzTrNLdZn7U16VzczL7eajSsqZqzV0WX4I8mV4aaJZ1a -zAefVCqBEXvLCgCwE1TCnwPdlxYZFzfaWX4iNtQv8Mv4jWFvTec5+UYK+t5K -T7u6Sa1p6bwWMWWO8Uv2sfbfg91DcttMyptlqaj4esry0KSKvh5pBDqtcdkq -VYq6k7GpFeIa876flCBpE8CVoWZRJ+HgczwrAMBO6Cxe4jLzu+r+9YC1XfB/ -0Slas/hTNmR+ON5h3slG3S4AWXXLqrOSUwvM9jNIrGk+FeWvnr+hoF9TZNm9 -r708vigzWd2xKVXVUXpy56ogt+eGO0X09UTD12mVy2TgW0MepsceqpTh9qSm -BMm5iStDzZpOssHndlYAgJ0g+nMub9bxBpOKNG6YIilazHtFv/NPVt3KhowF -PPfI0i7TD4itqVHRlV0xhyq6+xckUpUww2VZscmjrixLVWs6wxRvch0bmN2C -kem0ymVScKy1VR2NPVqtWSnTnYWUwlOfLAjUMMd91BhvvvafC6MKjSdFrgw1 -SzrJB5/jWWGESVYAwGAiuRLq7PPDQ5N9BOO07ypdOdnzm3u6/RVrduyJrGHd -lYI9h25JzNJfXrHda0qUaZ9nNqXq6br+qdeb51oxMp1WuUxT1a3bca97T/PW -MpU3/OmRrl5z1900m1dJIblu4spQs6PTwuBzOysAwE5AquJ9PKJNC0mT9tP2 -aVsyK2pS/Px23dfvjMvv77Cqus2tIY/OJqaWdGg7UqMd5WfOCw29wyRXl7rx -BUKT5TBbUjFZ48OW3p4wSPWP733et9GEr9Mql2mrMoDTk5oaJOcmrgw1e9mr -A2/wuZ0VAGAvyB/s9OWb3oDtSXuHcQs3705OSfx23bZT+nu2ipZb5/cEjB7h -uiHzapUUpXoIHGuqlpxIt2eGPaVj2HCvuH8MFSm/v9N3/sE6s5+JsCMVE11e -Nd3RLSg67nBG+rHcGplhdUuk0wqXaavqYyDOTZwZanZ09oEz+BzPCgCwG1BR -/pYP9vR/rNR4u8B26FnDJCVbQ3eUduJscNiVVBKd7A4gI3BlqO1Kp3qoZwUA -DDLyuuyk1EtNfatPbdonVDFZRBStyetyUpJ/ayR8jtZepFrQyd4AMgdHhtpu -dKqfiKwAgEEGQ1rbejf61SpJWebaSSNeeGNfTpnY5h+Q07OGyppFiIVbwvYg -lVQnmwPILHY/1Hak05LUoZMVAAAAAAAAAAAAAAAAAAAAAAAAAAAAADCkQDuK -41eG8Kc4TV+2/44U3mgDDAaQdQAAkCKrST/8txhVIzVpAZOCCX65CwCMAlkH -AAA5mKpbpV22Sm+s5a8owXmhKQAwDWQdQA1MyZmLag5J5RbS23s/S6XQbZY5 -OBRKDknlFoOfdQDbIA15x3+522WpojBEWJAWE/Tq+wW2dw7FuiuPr5032eHZ -UU5+a44+0DUHQMU3sgSFLXgvI2NPqh5lY9aSGWH6d5QxJBV/HGxBVn1iS3iw -/9SXeLNWpNcilKSS0N/rXs2d5YKD+a22/uQTso4Ua+LIUsrpoFsglE1pYSjr -AA6hbPp1/cdpFFYjmPxxvfBajMt4Brpad99NWLf/ajOiaLu+/91xz3vvrdS/ -e6X7TlLYVxfNeryxJ1V/bOHpFX4OPOP3ZzIglXgcrERee+L7C/WIpuX62SUv -O+s7BJFJJcPca0xWm3v6r2ZFz+TTVVspsXaqgKwjx4o4spVy+sPTKxB6phjK -OoBLoK3nw3zXUH5hsTUdcHBQNF262KgrCenNKOcJ7xSI9Z9h7XlhsyM1/Tzt -QqpOcH3W1qRzcTP792uzWSrZOFgHqpDqdpTkFdtnzz+gb25EKJVUnpnXinpB -uJuzm0cPUz39t5Wbd3elphKyzgK048heyvWapVcg9EwxlHUAp1AJfw50X1pk -nNFoZ/mJ2FC/wC/jN4a9NZ3n5Bsp6Hv/Pu3SI7WmpfNaxJQ5xn0OsPbfg91D -cttMEppFqYq6k7GpFeIas16iDEnFHwdr1Wo/FV9PWR6aVNHXro9AqjVe2wxk -HVWplOPIbsrRLRBWsg7gFp3FS1xmflfdPzuxtgv+LzpFa5Y7yobMD8c7zDvZ -qLuKJis9WXVWcmqB2RU8iTXNp6L81fM3FPTr/Sy797WXxxdlJqsj1qQiD9Nj -D1XKcPtcMyOVYBysUtuDqqP05M5VQW7PDXeK6GvPhy/VKq9tBbKOkjU6cWQz -5egXiFWmgCcL0Z9zebOON5jkoHFrGEnRYt4r+u1ustJTNmQs4LlHlpr1gCa2 -pkZFV3bFHKowuR2LVCXMcFlWbPKoKEtS26qOxh6t1qzp8OqFGakE42CFWqP/ -g0mKN7mODcxuwcikWuU1GUrhqU8WBJqwMKrQeAqErKMqVU01juylnDUFYpUp -MqhkHcAtJFdCnX1+eGhyVW+cNl2lKyd7fnNPt6lgzXY6kTWsu1Kw59AtiVn6 -yCu2e02JMm21zY7UW7fjXvee5q1lKm/40yNdveauu2moWSakEo4DfbX3ZMaf -d13/1OvNc60YmVSrvLYVyDqK1nqhEkfWUs6qArHKFPBkgVTF+3hEm6aOJm2m -7dM2h1bUpPj57bqv36eW399hVemZW0MenU1MLenQ9sZGO8rPnBcaHheSXF3q -xhcITdaA7EnVgdfn2napJONgjVpM1viwpbeJEFL943uf9+0F4Uu1ymtbgayz -aI1uHFlMOQPUC8QqU8AThvzBTl++6e3QnrRxGLdw8+7klMRv1207pb+Dqmi5 -dX5PwOgRrhsyr1ZJUaqHwLGmasmJdHtm2FM6hg33ivvHUB/y+zt95x+sM/th -BDtS+8CpF1ulko6DNWox0eVV0x3dgqLjDmekH8utkRlWxkRSrfDadiDrLFij -H0fWUq4PGgVihSngiQMV5W/5YE//xzKNL7dth541TFKyNXRHaSfOdgNI7Q8N -gyRSB0CYZSCU1lnjUMqp7S/rAM4hr8tOSr3U1Lfk0qZNQhWTpUfRmrwuJyX5 -t0bCp1pBqhGUDVqQyrgwSkAoaVvjUMqp7TTrAM6BIa1tvbvbapWkLHPtpBEv -vLEvp0xs8w+w6VlDZc0ixMINWpBK1yCpVMaF0QBCyVwcB1onbYN2m3UAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAOCAdhTHrwzhT3Gavmz/Hamtb8iyZ2v2 -zJPjqQlPrOMAAJAiq0k//LcYVSM1aQGTgvNEQ9eaPfPkeGoCnuOYpPz0b3XG -bzIw/wsuioeHPt4O/YcAYEiAqbpV2tWq9MZa/ooSnFcaDxVr9syT46kJ+I4r -6jO/SLxp/MYD87+Yo3h48L1ovJdyAwBgO5iSnX0N6e29n6VSaI3NfWtUGBpR -4BCmjkvL/vvxkX7vrzP/iwnKuqPvR15hos0sADwZIA15x3+522VpssMQYUFa -TNCr7xfY3ugc6648vnbeZIdnRzn5rTn6QNdGBhXfyBIUtuC8GhLrLBcczG+l -9RNyWfWJLeHB/lNf4s1akV5r/HIUa6zpUDZmLZkR1r+5p/XWjBkCUaDmAnFc -bKB/XIhdoG1KC57jsjv/886uChnpX/qhqheEfnbZ9qgBwJOBsunX9R+nUVgJ -Y/LH9cJrMS7jabYAwKP7bsK6/VebEUXb9f3vjnvee2+lforqvpMU9tXF/h03 -MVlt7um/mntWpGhXbaWE2klAXnvi+wv1PWZVzWeXvOzc11XNKms6lMLTK/wc -eEZvSLbFmrFh7keBoguEcbEF87jgumCdKSLHRXnvBfQNGf5fjFAJMz+MuCSC -hykAgApo6/kw3zWUX0ZvTes0HBRNly426kpYejPKecI7BYadDqw9L2x2pKZX -s/4/1wvC3ZzdPHqY6um/jeqdZFQh1W17ySu2z55/QNd3zUpruu9mbU06Fzez -ryMnDWuq5uxV0SX4Az0EokDZBYK42OSIWVxwXbDOFLHj0ltrZ7xp6EeL/5c+ -0Kb/t+jji21wagIAKqiEPwe6Ly0ynlHQzvITsaF+gV/Gbwx7azrPyTdS0Ndb -hfasSGpNS+e1iClzjBvPYO2/B7uH5FKuYvJDoOLrKctDk4h3WihbU9SdjE2t -ENfQ6xZtQFV/7M0Q/OfbhkAU6LowGHEhcoGpEMsf/O/M6f161Jr/pe+gj7OX -LL/QCqcmAKBEZ/ESl5nfVfdfumJtF/xfdIrWrDiVDZkfjneYd7JRt5FBNivK -qrOSUwvMNlFIrGk+FeWvnr+hoMO4ZmX3vvby+KKM+hUN4SFUHaUnd64Kcntu -uFNEX+dQq6whD9NjD1XK1IqHzJ+bhkAU6LlAHhdaLpDFhdAFZkKsqPnexzXc -+JFF878YjthyfvnS7MeU+w0CwBOO6M+5vFnHG0ymAeO2X5KixbxXDDcFSGZF -ZUPGAp57ZKnZ7QNia2pUdGVXzKGK7v6rSaQqYYbLMjqP2pIcQq357UnxJtex -gQR7LZSstVUdjT1arVlc0z03KYWnPlkQqGGO+6gx3nztPxdGFRqfB4ZAFOi6 -oIEgLnRcII8LsQuMhFhZ++Orzh9ckZD9Re9q2+8f/5//1wSnJgCgiORKqLPP -D6Zb/saV21W6crKnYZvCmjsdRNaw7krBnkO3JGZnDHnFdq8pUTelth9CT9f1 -T73ePEd1Q8Xc2q3bca97T/PWMpU3/OmRrl5z192kdxOf5LppCESBrgu9DHBc -iF1gJMSKmhQfl6XFnWR/6QVrz4v46FQjNCoCAKogVfE+HtGm1aup3Gn7/tFU -bk+1+fntuq+/TyC/v8OqWdHcGvLobGJqSYd2JYl2lJ85LzQ83iS5utSNLxDS -qGS8Q2Cyxoctvc3NkOof3/uc8p4eiftqzW9UDv7bleE9vSEQBeouDGJciF1g -JMRI5V4fr83GT4WY/0V3uPwVoQLTi0oAAEiQP9jpy//R5AeDPZXrMG7h5t3J -KYnfrtt2Sn8HW9Fy6/yegNEjXDdkXq2SUt6fwLGmasmJdHtm2FM6hg33ivvH -MCnK7+/0nX+wjs5vU3AOgYkur5ru6BYUHXc4I/1Ybo2M+l1oAvd7GYhz01CI -AlUXBjEuJC4wEuLu2xtnBJ5sRMn+okV85fMPjj2y7sdWAPCkgoryt3ywp/9S -z3jHw3boWcMkJVtDd5SSv/vFtkMMrjVKDIEocMoFRoSJCz567ct+Dpv/RYOk -OOq9Q2TviwAAABd5XXZS6qWmvuLRVm5CFZNTCkVr8rqclOTfGunWMXuCmYP7 -UeCQC0wIQyoTgr/o98th879o6Loe8+6BGjg1AYA1YEhrW+89ALVKUpa5dtKI -F97Yl1MmtnmLnJ41VNYsQuj+BIRNwczC5Sjo4IILzAhDqg4s2X2nm/QvGqQ3 -Nr3z/WAvdAAAAIAnELTtr22xvxk/xmH+Fy3Ssth34h88ge/GBQAAAAYXrPN2 -xtHrHSjZX3qR3du1KO4+nJoAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAJkA7iuNXhvCnOE1ftv+OdGB7lg3mseyBIe8vOAgAACXkdb+dLjdvVECM -rCb98N9iVI3UpAVMCiZ4hyhD4B0Lk5Sf/q1uaP5wYzDHlhXAQQAAKIB13kz8 -4mQ9rVduYapulfZUJr2xlr8Cr9Umc+AfS1Gf+UXiTXovZeUGgzm2rAAOAgBg -GUXtkY//W0ajlZ4x0tt7P0utGpzrF9NjScv++/GRAXrBMqZk/6Q3mGPLCuAg -AACEyCp2vfs/d2SW/6M5WGe54GB+K4OvJEVFhfFrNiUeOZy4cU3CFVG/t7KY -H0t253/e2VVBLh1pyDv+y90uymcaDBEWpMUEvfp+Aa3eeVaCim9kCQpbcHrr -UBtbet5h3ZXH186b7PDsKCe/NUcfdA/C6XdwHdSjbMxaMiPMii5X9LHVQQAA -8JFX7gl435odcUxWm3v6r+aeyxa0q7ZSwkQJoq3nl3u+ndXUY0vVeGqBZ9iF -VpT0WKK89wL2VhK/ZFnZ9Ov6j9PoLFwx+eN64bUYl/E0+7paT/edpLCvLrb1 -Gz9qY0vXu+67Cev2X21GFG3X97877nlvspFjkMFzUP814ekVfg48azowWoX1 -DgL/P3tvHtbE9fb/1796VeunWosiNLUgCAqCSv2IDUvVtlLh04XWxw36u2hd -ioBL3Vq0y1cfHxdka7H2AdcKqIh9rFyitBYtgghaVERFKSAIAWQJCYRkskx+ -JCQhJDOTmWTCZPB+/eVFzJ33Ofd9zpw5s7wBAA/F07Pzpq+9Q3lHT9qQGe7m -7ObRyxRP/23GPtBmIG9M5zrOPNLn0CmrT/Nx9D+hcrTG/y3RnTXT38lpxVlV -9x7qwnyjqM9Qkof/bdJzXN6SsyqmlJbJD+3ID5sVWSTQtYJc31JunbT58qUm -zdFIdDva2fE/hQL8/83CBmqDZ29NOh83w8XEsYn5BtItAwCGEuJ7X3vN2IX3 -En1F193sxPiDGZmH9kb91+JP1hTxLdsGQnj5KeEBb644cjB+c3igq1fY0ZKc -A9tjFvq6vLmhgN9ZvNDBXjdhdl4NGuu4pITwOrLk0f/MmPbtA+xdPTnvRKD7 -kmLMYa/oqjgZG+oX+FX8xrB3p3GcfCMz+42xSR2bCCzOB/wOiQ5EO/4Idg/J -a6fUt2a3Tk3XjYjJsw0tzAfGZ2cDpfWnYlMrBbU/+Zg8NjHdQEoyAOBZQ3h9 -0cQZP2LaYio6rmye+/6Bf1SDXlqTPO3Vt889NXoJP1VE5etcHILOtiiUaGtO -oB0n4s8OhVJWl+oz4b382kuBYxx0RyNh8UL7MXOvEB4hpLU/+riG49wH1VWy -2GXGDzU48y/aftF/rFOMarEra8z6eLzd3FNNmp0Xuo5NpDtQ/OAbL48vyymd -e5rdOtWn/ILV8zYUdhJNpaxsIPI4PfZQlVgpfUzPscmqDSQvAwCeQQSFwRN8 -/rcO41Ju18017m7RfRbP8sbjb3L8TzaR2DaX8U5/Nj/QgAXRRZqJsKdis7vT -UvXxR1j8yYTJ2+73nvSgT89xHf+d8ajok/HjQrTnTYKrC8aZOm+S1f38hvNH -17DnIP6VOZyZxxvxNKt9sZNq1JtcwuJFnNc/19pZExyb+ls32330GG+uQesG -QL4DkeqE6S5LiZtKW+uUCv61XesPVWLfCcHmBrZXH4s9VqM+juAfm2ykgVRk -AMCziLD4Y2efA4+NV6fdNyMmOIYWqQ8UipZf53D+fegJxhGMKgTHpvT6ul98 -HXTXm54cmenIzeARHg6ltSk+LnjHL+G1UGefnzCa1of+5NZdtnKSp25vkJ7z -JgodKKnc7jU5+jali35mtg7tqcrcc+iO6ces2dfAO3fj3vKe6q1mCmf486Nc -veasvd2N833mG0hWBgA8k/SUr/d8I6Ha+Iat9rzA0aP8M1TrVsmj//V3nJ6M -t71C7fcMjk1b9Y5NjcjTnEWewaoNv9654GzI1KW5rcSbiEjVXh+vzfqXmuX8 -G9n/d6tTdURDquN9PGJw5wvV5DZ13z+qlvce4vz8dunsQSUPd9BwbKLQgcLr -S9y4mcSH4b5ftbB1yJNziamlffaois6Ksxd4uHfqsbOBGmT1B//tavGenjUa -aIYMAHgmkfMyAnzUBwgDZM1nP586+qWJ76z8fu+2WeM9d9Lg7IwiTVeTA14e -5bP7z9r26rzvPEaO5u67XN92NyvS6V8TIjJvCZCOgrjVm5KOHE3eEh1f2GFq -rPfc3Tg98FST3gGsszDczS28QL01Inm005eLe8G/d3Kzs1+weXdySuL3a7ed -1t4sIG29c2FPwMsjXDdkXa8W4R4aTU8p5DtQ8nCn77yD9STOSi1qnbw1N9Lt -hWHPaRg23CvuH/ybyFnYQD1ptBybrNFAM2QAwLNJT8VX/uHXiUax4FqY8+Qt -tNwlTjeCwk/e/ApfmYJfsOWjPTif628KWRfiDkSFpVtDd5RRf/mSjbROCQ00 -t4EAABDQ/ff6BXF4N5ErVbcbr3Rxjbpl5juNrApSlRD85d+4VxRUSOpzklIv -N2MsvtWTG9ZuJt0QdqCkPjcl+fcmM7dLbaB1SmigJQ0EAACXnnv/ExpXiXVw -QnvqirO2cUe/6P7tFb7tPdqOVB9YvPueyfM5FGlrRwzWtHJhedaaiSNeeXtf -brnAei0z2YEKcQvfUBvFn2CudUpoIB0NBAAAB3lr3uYv/zBx24HNoWj/a1vs -7622d8gEAAAAaEHReePw0dtU/JuYBu26m3HsZifLjqcAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAYICisyR+ZQh3stO0pfvviWi7s99KYW2Q -Z6eleEAPAOxAUv/7mQpqjy+Z8RWAHsS16Yf/FiiUSG1awMRg2t4DaqWwNsiz -01I8oAcANoB23U788lQDlRd+mfEVgDZQeY9cvSgQ3VrDXY7j6mszYW2QZ6el -eEAPACxAWnfk0/8up/SqVjO+QhlUBudkJhDd3bsitdpya5LBCUsAU7ke/Jba -GtADgO0irtz1/v+7Z+DPJK49s/Pb+NRDP+1aF/HVGcPzI8yvmAZpzD/+6/1u -U9MQivAK09YHvfFhIaF5HynQnqrja+ZOsntxtJNf1LFHGptxheBWdmZRK4Gb -Djmp4pqTW8KD/ae8ypm5PL2Opjdey5qyF08P01oL4UtFuyoyDxa0mfe6QAW/ -KD5qU+KRw4kboxKu8fXe7GRR2H4YyLUWujqQVBOwC8wSjIvKdLkSYvVcA4BV -kFTtCfjQYL9Z3pgxz2fTXdULvNGOS//x/v9udJn6iklkzb+t+zSNxAoNlTxt -4N1Y7zLehLEsGXruJ6zdf70Fkbbf3P++/Uvee6u0B5Cee0lhX19qxxyWJKVK -6k7+eLGhN6C85dzi15w/J/biIImMd2a5nx1H3/YOSyoqrss781dL75pB0V1X -JaQ4uyjaLizzfC+7ufdr8qbT8z3DLrYpaAjb3wgmcq39bXo6kGQT8AvMTHCK -iqhcibF2rgHASiienp03fe2dgdtzsvq0mY5v/ljVOzJlDUff+vc3A2xvMb9i -6mfaLoT5RhH7jOohefjfJk3PSSBtvnypSTNZiG5HOzv+p1Cg/QztyA+bFVkk -MFrokpaqkIo0W1GSyu2z5h14bPnVN2lD9tak83EzXAZYshpJlTZkhrs5u3n0 -MsXTfxtVV0d5YzrXceaRJ+qFeG+ufRz9T6jcwi0Mq4WZXPdBUweSbQJRgZkH -XlHhlqsJaMi1vCVnVUwp2XQCAE2I733tNWOXoXOgouPyeu8xEz747sDO9VuO -3R94iyn2VwiR804Eui8p1q9vRVfFydhQv8Cv4jeGvTuN4+Qbmdlvm015viKM -pqbrRsTk2foG3mjHH8HuIXnths4/FKUqFYKbKctCkyrJbnHiR5PWn4pNrRTU -/uQzcGrFk4oPwstPCQ94c8WRg/GbwwNdvcKOluQc2B6z0NflzQ0F/M7ihQ72 -ulm082rQWMclJbRdDWcw13R1IOUaUGFUYOa2Qv2pUVHhNsHquQZTeIARhNcX -TZzxY63xiOqp2O3vPmq4XUDsxRYZua/g01Wy2GXGDzUDv4K2X/Qf6xSjWgvK -GrM+Hm8391STZmeBaL4S12QnpxYabW8QRFN9yi9YPW9DYaf+yBY/+MbL48ty -gxUjNanyzrJTO1cFuY0c7hSRa2QVRUkq8jg99lCVWCl9bDS14kglQlS+zsUh -6GyLQom25gTacSL+7FAoZXWpPhPey6+9FDjGQTdDCYsX2o+Ze4W26z2M5Zq+ -DqTaBCV2gZnVCiVeUeE3wcq5hmMTwAiCwuAJPv9bZ3CdFak/+un7Pzzoav1r -13v2o6d/M2ADD/MrMt7pz+YHGrAguqhvsPKvzOHMPN5oMDrVrtlJNeo9EWHx -Is7ruks2BPOVrDFjPsc9sszo4g5+NKWCf23X+kOVBheqkeqE6S5LDReRVKWq -QIUlm1zHBea0DvwBKlLbq4/FHqtRLZyxplZsqUT0VGx2d+r7hrD4kwmTt6m2 -ZdGn57iO/854VPTJ+HEh2rW04OqCcWTX0sRZ7oOhXNPZgZRrALvAzGgFQVHh -N8HauZ7tPnqMNxcr1wBgPYTFHzv7GF4q6anY4j0zoVo1aNDOvz6b6Bp5S2Ti -KyZ+5Vqos89Phl/RH5vdZSsneX77QLOHYc41CLxoaE9V5p5Dd4yfEpZUbvea -HH3b4LoZVal9dN/83Oud820kh61xtDt3497ynuqtZgpn+POjXL3mrL2tm6mw -pRJBMF+l19f94uuguwbx5MhMR24Gj7Zr4czkmtYOpNYE3AKj3gqiosJvgpVz -DedNACP0lK/3fKPvMNQPUp347ymr+laeyD/7ZvnG/YOY+AoxSHW8j0eM4bhS -jc2p+9ShpbUpfn67Hmo33CUPd5g1XxlHQ56cS0wt7bO/VXRWnL3A0+kWXl/i -xs00HKjkpaLipsetiHrmQGp+/uAL4z09alI1yOoP/tvVYNmPLZUIw/lqq958 -1Yg8zVnkGazaBFIqWs6GTF2a20qfPzBzudZgeQdSaQJBgZnTCvyiwm+ClXMN -xyaAEeS8jACfrfcNLuSj3ffSVv/Xqv/3Q9qBvV9tOXxvwEMe2F8hRvJopy/X -8EJx79i0s1+weXdySuL3a7ed1l4KlrbeubAn4OURrhuyrleLSA8kjGjy1txI -txeGPadh2HAvvYOs5OFO33kH642eGiErFeVfXTXNwS0oJu5wRvovebVi8utm -nIb3gTG14knFA0WariYHvDzKZ/efte3Ved95jBzN3Xe5vu1uVqTTvyZEZN4S -IB0Fcas3JR05mrwlOr6wg9YbiJnJdT80dCDZJhAWmDmtwC8qvCZYP9dwbAKY -oafiK//w65TuEDXjK0oFv2DLR3sG3qqqv6dhOdSiocLSraE7yrowDigskmqb -DIEOtH4TqAVkXQ0AgOV0/71+QRylO8LN+YpS9XLYnKTUy839i1H12KS2OUgA -lWiS+tyU5N+bcC+ZsUiqbTIEOtDKTaASkJ01AACW0nPvf0LjKikdacz4ihoU -aWvv20xXyoXlWWsmjnjl7X255QKL95SoRVOIW/iIiSUoi6TaJkOgA63WBGoB -2VsDAGAZ8ta8zV/+QekSqRlfAQAAAAAqKDpvHD56m9JdsGZ8BQAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgF4UnSXxK0O4k52mLd1/TzRk -n3N4RppJDHQCAAAsQVybfvhvgUKJ1KYFTAwesq8pfUaaSQx0AgAAbAGV98jV -C2jRrTXc5aW02c3bGM9IM4mBTgDYAypjx4k9W3SyF9HdvStSq6m/9tF8GMnp -4DfTBoFOAJgAacw//uv9blPDHkV4hWnrg974sJCSUR024pqTW8KD/ae8ypm5 -PL1O9a5oheBWdmZRK4EJEBM6NciashdPD9OaFtEkFe2pOr5m7iS7F0c7+UUd -e4RtOU4Jc3qVEAW/KD5qU+KRw4kboxKu8fVe8Ih2VWQeLGiz9L2stl57pprJ -UKI1UC1LQqyeawCghKz5t3WfppFYEaGSpw28G+tdxlM0UcVCUnfyx4sNvbOC -vOXc4tecP/+7z927515S2NeX2jHHACM6tb/NO7Pcz46jb6hHg9Se+wlr919v -QaTtN/e/b/+S994qC/0hzOhVYhRtF5Z5vpfd3PtVedPp+Z5hF9v6ZixUXJd3 -5q8Wae9/6a6rEpo7adl67ZlqJlOJ1v48tbIkxtq5BgBq9FZkmG9UCVkjQ8nD -/6Zs8I35s1KRZndGUrl91rwDjzXeOWhHftisyCKB0cKSIZ1qpA3ZW5POx81w -GWD2arFUafPlS02aSUp0O9rZ8T+FAsuEUu5VE8gb07mOM488US/EZfVpPo7+ -J1Sm5dKGzHA3ZzePXqZ4+m8baBFIQa6N156pZjKXaI08SmVpAhpyLW/JWRVT -Ss0TFQBwkPNOBLovKdavJ0VXxcnYUL/Ar+I3hr07jePkG5nZ78lNeX4gjKZU -CG6mLAtNquz3n0c7/gh2D8lrNxhaDOqU1p+KTa0U1P7kM3ASoEuqmq4bEZNn -G5qUm6NW/SnZXlUqEV5+SnjAmyuOHIzfHB7o6hV2tCTnwPaYhb4ub24o4HcW -L3Sw102knVeDxjouKaHtajhbao8u/WpoSzTVshyEXIO5PEAjXSWLXWb8UDNw -qKDtF/3HOsWo1l6yxqyPx9vNPdWkOZMnmh/ENdnJqYVG2wm40eSdZad2rgpy -GzncKSK3Vfs18YNvvDy+LDdYnjGmE3mcHnuoSqyUPjaaBGiSqvqUX7B63obC -TqxJ0Zq9qkJUvs7FIehsi0KJtuYE2nEi/uxQKGV1qT4T3suvvRQ4xkE3QwmL -F9qPmXuFtmt4bKk9uvQraUw09bJUYeVcw7EJoBH+lTmcmccbDQaE2sw6qUa9 -DSEsXsR5XbsnTzQ/yBoz5nPcI8u6DT/Aj6YCFZZsch0XmNOqGa9IdcJ0l6WG -KzaGdLZXH4s9VqNaqGJNAvRIVSr413atP1SJfYHcqr2qoqdis7tT3yfC4k8m -TN52v/dEAn16juv474xHRZ+MHxeiXUsLri4YR3YtLeOd/mx+oAELoov0Z2W2 -1B4ezCXanLJUYe1cz3YfPcabi5VrAKCK8Fqos89Pjw22GPSHQ3fZykme3z7Q -7HyYs+ePH62P7pufe71zvk1TyZLK7V6To2+LbEHnnbtxb3lP9VYzhTP8+VGu -XnPW3tbNHnRIRXuqMvccukPdQ5KOXlVBMF+l19f94uuguwbx5MhMR24Gj7Zr -4WypPXr005hos8pShZVzDedNAI0g1fE+HjGGdawaDlP3/aMaDtLaFD+/XQ+1 -m+aShzvMmh8Mo6HipsetiHqcIjU/f/BF/76K8PoSN26m4ahgSqcOWf3Bf7sa -LFAtl4o8OZeYWtqpvh9K0Vlx9gKP9A1cdPSqCsP5aqvefNWIPM1Z5Bms2gRS -KlrOhkxdmtuqMA5hJmypPTr005xoHeTLUoWVcw3HJoBOJI92+nINr832Dgc7 -+wWbdyenJH6/dttp7eVcaeudC3sCXh7huiHrerWIdOFiREP5V1dNc3ALiok7 -nJH+S16tWLealDzc6TvvYL3RIxrM6OwHYxKwVKq8NTfS7YVhz2kYNtwr7h/y -9xbT0qso0nQ1OeDlUT67/6xtr877zmPkaO6+y/Vtd7Minf41ISLzlgDpKIhb -vSnpyNHkLdHxhR203kDMltqzVD/tie6HQllaP9dwbAJoRcEv2PLRnoG3hupv -I1gOhWiosHRr6I6yLoyND5vSqWRYKrWABFKZxaZyakYv2VqilTacawAwA0l9 -TlLq5eb+9Z96OCRU0zk/kIkmqc9NSf69Cff+WlvRqWRcKpWApqQyi63k1Nxe -sqFEK2091wBgBijS1t63Ba+UC8uz1kwc8crb+3LLBRbv4VCIphC38BET6z1b -0Mm0VGoByUhlFlvIqSW9ZCOJVrIh1wAAAAAAAAAAAAAAAAAAAAAAAAAAAABg -uyg6S+JXhnAnO01buv+eaChfgKe3pVbqt2cnHQAAAPiIa9MP/y1QKJHatICJ -wUP5gUt6W2qlfnt20gEAAEAAKu+Rq1fnoltruMtLaTPOsD3obamV+u3ZSQcA -4IPK2LFlwBadrEZ0d++KVBLGtfTBVFrpbamV+m3w0wEA1gRpzD/+6/1uU2Me -RXiFaeuD3viwkAYPH3HNyS3hwf5TXuXMXJ5ep3rqXSG4lZ1Z1ErwOjMmdGqQ -NWUvnh6mfXEZTVLRnqrja+ZOsntxtJNf1LFH2OYJg6GWEAW/KD5qU+KRw4kb -oxKu8fXeZYd2VWQeLGiz9CFTFqTVnJYaV7gl0XRYPR0AYCPImn9b92kaibUW -KnnawLux3mU8Db7YkrqTP15sQFQ+zucWv+as9bjpuZcU9vUlI3815nRqf5t3 -ZrmfHUf/pZo0SO25n7B2//UWRNp+c//79i95762i5003FNUSo2i7sMzzvezm -3q/Km07P9wy72NY3HaLiurwzf7VIe/9Ld12V0NwZkQVpNaulOBVuab9ZOx0A -YCv01nqYb9TAl+wTYI6HDubPSkWarRlJ5fZZ8w5oXXDQjvywWZEqk0/b0KlG -2pC9Nel83IyBJm4WS5U2X77UpDkaiW5HOzvqHLEHU60J5I3pXEedrU99mo+j -/wmV/YK0ITPczdnNo5cpnv7bKgi8YuUtOatiSrG7gwVppdBSfXAq3MxoWmhI -BwCwAjnvRKD7kmL9uUHRVXEyNtQv8Kv4jWHvTuM4+UZm9r+Xn/LkQBhNqRDc -TFkWmlTZ7/eGdvwR7B6S124whzKoU1p/Kja1UlBrZDBKk1Q1XTciJs82tFsY -DLVKJcLLTwkPeHPFkYPxm8MDXb3CjpbkHNges9DX5c0NBfzO4oUO9rqDZufV -oLFk7VB1EFgnsCitZvyE+lOjCjeB1dMBAKygq2Sxy4wfagbOiWj7Rf+xTjGq -taOsMevj8XZzTzVp9giIJgdxTXZyaqHRvhFuNHln2amdq4LcRg53iuj3dxM/ -+MbL48tyg4UfYzqRx+mxh6rEmObX9EhVfcovWD1vQyGmibWV1aoQla9zcQhS -ucqhrTmBdpyIPzsUSlldqs+E9/JrLwWOcdBNf8LihfZj5l6hdt5CcGxiUVoJ -oFjhprByOgCAFfCvzOHMPN5oMGz0LWOExYs4r+t2ywkmB1ljxnyOe2RZt+EH -+NFUoMKSTa7jAnNaNRMzUp0w3WWp4VqQIZ3t1cdij9WoVsFYkxg9UpUK/rVd -6w9VYt8JYW21KgisujMeFX0yflyIdqEuuLpgHNmFuox3+rP5gSpmu48e481V -/3NBdJH+EZhFaSWCWoWbwtrp0MMgHQBgOwivhTr7/PTYYC9Jf6x1l62c5Pnt -A82ehDkb/vjR+ui++bnXO+fbNGNEUrnda3K0odM1Mzrv3I17y3uqt5opnOHP -j3L1mrP2tm7aoUMq2lOVuefQHSHlGYImtSoIJsP0+rpffB10FzieHJnpyM0g -a1qugeC8iUVppfYTRBVuCiunAwBYAVId7+MRYzgOVWNt6j61b7S0NsXPb9dD -7Qa65OEOsyYHw2iouOlxa5/VDFLz8wdf9O94CK8vceNmGo43pnTqwDC/pkEq -8uRcYmppp/pOK0VnxdkLPNJ36tGkVoXhZLhVbzJsRJ7mLPIMVu0wKRUtZ0Om -Ls1tJe2I3gfBsYlFaaX6E/gVbgorpwMA2IHk0U5fruFF+N6xZme/YPPu5JTE -79duO629tCttvXNhT8DLI1w3ZF2vFpEeEhjRUP7VVdMc3IJi4g5npP+SVyvW -LSklD3f6zjtYb/SICTM6+8GYxCyVKm/NjXR7YdhzGoYN94r7h/xN5HSpRZGm -q8kBL4/y2f1nbXt13nceI0dz912ub7ubFen0rwkRmbcESEdB3OpNSUeOJm+J -ji/soLxKJzg2sSmt1H4Cv8KJsX46AIAlKPgFWz7aM/CmU/09CsuhEA0Vlm4N -3VHWhTGQbUqnkmGplAMSqGUWFqWVrp8AAIAkkvqcpNTLzf2LV/VYS6imc3Ig -E01Sn5uS/HsT7o3UtqJTybhUigFNqWUWFqWVhp8AAIAKKNLW3rc5rpQLy7PW -TBzxytv7cssFFu8YUIimELfwERPrVVvQybRUq6hlFhal1cKfAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAIBnAkVnSfzKEO5kp2lL998T0XbXgpXCAowARQIAwOAi -rk0//LdAoURq0wImBuM8pWozYQFGgCIBAGCQQeU9cvWCVXRrDXd5KV2WB1YK -CzACFAkAmAKVsebMn0VSexHd3bsilYQDrG2EJYBd3c4uhkyRAAAJkMb847/e -7zY1oaAIrzBtfdAbHxZa7hiD9lQdXzN3kt2Lo538oo490hhEKAS3sjOLWgne -ZcaAVC2ypuzF08O0714zLRULcc3JLeHB/lNe5cxcnl6n/yIBtKsi82BBm3kP -byr4RfFRmxKPHE7cGJVwja/3rjmLwvbDom4nJRW7/BhQiwVbiwQA6EXW/Nu6 -T9NILJlQydMG3o31LuNpMMXuuZ+wdv/1FkTafnP/+/Yvee+t0g7BnntJYV9f -MrKIY06q9rd5Z5b72XH03wtKJBUTSd3JHy82ICqb8nOLX3Pud/lBxXV5Z/5q -kfZOIN11VUKKk4Si7cIyz/eym3u/Jm86Pd8z7GKbgoawOljU7SSl4pffoKrF -hKVFAgA001uyYb5RA00CCDDHQAcDafPlS02a6UB0O9rZUWczrfLEzg+bFaky -EbUJqRrBDdlbk87HzRjoQ4crFQeFVKTZ7ZJUbp8174DGuEjakBnu5uzm0csU -T/9tFeQdV9XIG9O5jjpPn/o0H0f/EyqHBwvD6kSzp9vJSiUqv8FTi4PNFom8 -JWdVTCnZOgAAy5DzTgS6LynWLzhFV8XJ2FC/wK/iN4a9O43j5BuZ2e8rQHnm -IYymputGxOTZ+jYJaMcfwe4hee0Gg5lBqdL6U7GplYJaI49UHKkmWq0Q3ExZ -FppUKVaSBOHlp4QHvLniyMH4zeGBrl5hR0tyDmyPWejr8uaGAn5n8UIHe93s -2nk1aCxZL1QysKjbqUpVY1R+g6WWdUVC5HUCAHTTVbLYZcYPNQNHJtp+0X+s -U4xqqSdrzPp4vN3cU02aU32imUdck52cWmi0e0EQTfUpv2D1vA2FA5yhxQ++ -8fL4stxgCceYVORxeuyhKjGmfze2VCJh8s6yUztXBbmNHO4UQd5vTlS+zsUh -SGUph7bmBNpxIv7sUChldak+E97Lr70UOMZBN9EIixfaj5l7hbbrPSzqdqpS -ldjlN0hqibTZZJHAsQkYTPhX5nBmHm80qH59Pxph8SLO67pNb4KZR9aYMZ/j -HlnWbfgBfjSlgn9t1/pDlQaXopHqhOkuSw1XdQxJba8+FnusRrWexZp2sKWa -aLVSZRNUssl1XGBOq+U+3RmPij4ZPy5EuyQWXF0wjuySWMY7/dn8QAMWRBfp -T9Us6naqUnHKb5DUmtCmtL0ime0+eow3F6tIAIB2hNdCnX1+emywo6E/ZLrL -Vk7y/PaBZmvBnKsJeNHQnqrMPYfuCI1qXFK53WtytKFTNzNS79yNe8t7qrea -KZzhz49y9Zqz9rZuAsGWSiysj+6bn3u9c77N8mknvb7uF18H3aWEJ0dmOnIz -qDiKE8OibqcmFbf8BkktkTYtNlUkcN4EDCZIdbyPR4zhsFENman71Abh0toU -P79dD7X74JKHO8yaeYyjIU/OJaaWdqrvFVJ0Vpy9wNPdKiW8vsSNm2k4cpiT -qgHDvxtHKl4oVNz0uLXPIAip+fmDL8hv1xhOO1v1pp1G5GnOIs9g1V6OUtFy -NmTq0txW0o7lJmFRt1ORSlB+g6QWL5TNFgkcm4BBRfJopy/X8FJw75Cxs1+w -eXdySuL3a7ed1l6hlbbeubAn4OURrhuyrleLSFc2RjR5a26k2wvDntMwbLhX -3D+6uUHycKfvvIP1Rg+FMCO1H4xpB08qdiiUf3XVNAe3oJi4wxnpv+TVikmu -h1Gk6WpywMujfHb/Wdtenfedx8jR3H2X69vuZkU6/WtCROYtAdJRELd6U9KR -o8lbouMLO2i9D5hF3U5WKmH5DZpa7FC2WyRwbAIGFwW/YMtHewbeO6q/1WA5 -1KKhwtKtoTvKujCGJIuk0i2MSVjU7daXSjngM1IkAGANJPU5SamXm/uXm+oh -k1BN58xDMpqkPjcl+fcm3Dt62SOVXmEMw55ut7ZUigGfpSIBAGuAIm3tfXvc -SrmwPGvNxBGvvL0vt1xg8e4QtWgKcQsfMbGJwQap9AqzCdjQ7daWSq/aIVgk -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAMBWFJ0l8StDuJOdpi3df08EL68BBhUo -PwAAsBDXph/+W6BQIrVpAROD4XFMYFCB8gMAABNU3iNXr1ZFt9Zwl5fS5scB -ACSA8gNwQGWsOYtmkVQ2Irq7d0UqCT9c+mBRQlkklaUMfvkBgw7SmH/81/vd -psYSivAK09YHvfFhoeXuQGhP1fE1cyfZvTjayS/q2CONTYFCcCs7s6gV69Vj -zElVimtObgkP9p/yKmfm8vQ6hEadxpFpQNaUvXh6mPaVbqalEqLgF8VHbUo8 -cjhxY1TCNb7eK/LQrorMgwVtlj40CrVHBqo5hfIDhgCy5t/WfZpGYvmBSp42 -8G6sdxlPg+N2z/2EtfuvtyDS9pv737d/yXtvlXZk9NxLCvv6kpGjG3NSJXUn -f7zYgKg8qc8tfs1Z67BDg06cyJYh451Z7mfH0X/dKJFUYhRtF5Z5vpfd3PtV -edPp+Z5hF9v6pgdUXJd35q8Wae9/6a6rEpo7Q0DtkYJiTqH8gKFAb/rDfKMG -vtOfAHPceTCQNl++1KSZEUS3o50ddW7RKgvr/LBZkSovUJuQqlRIRZrdGUnl -9lnzDmj9gSzXiRfZAqQN2VuTzsfNGGhvhyvVBPLGdK6jzvSnPs3H0f+EyupB -2pAZ7ubs5tHLFE//bRXGjq79IVpyVsWUYvcF1B45wdRyCuUHDAnkvBOB7kuK -9QtZ0VVxMjbUL/Cr+I1h707jOPlGZvbbAFAedITR1HTdiJg8W9/YAO34I9g9 -JK/doJQZlqoQ3ExZFppU2e/9RpNOjMjm6pTWn4pNrRTUGlmv4khVKhFefkp4 -wJsrjhyM3xwe6OoVdrQk58D2mIW+Lm9uKOB3Fi90sNdN3Z1Xg8aSNUvt7w18 -YwWoPTLRqOYUyg8YGnSVLHaZ8UPNwBUT2n7Rf6xTjGqhI2vM+ni83dxTTZrT -ZqJBJ67JTk4tNDp3J4im+pRfsHrehsIBBs/iB994eXxZbrAcYlKqvLPs1M5V -QW4jhztF9Hu90aETO7JZOpHH6bGHqsSYtuDYUlWIyte5OASpPOfQ1pxAO07E -nx0Kpawu1WfCe/m1lwLHOOimA2HxQvsxc69QOxkgODZB7ZmORj2nUH7A0IB/ -ZQ5n5vFGg+rTt5URFi/ivK7biyYYdLLGjPkc98gyo11r/GhKBf/arvWHKnsG -LqiQ6oTpLksNV0gMS1WqrHhKNrmOC8xpRenUiRXZDJ3t1cdij9WoFrBYkwO2 -VBUERt4Zj4o+GT8uRLtwFVxdMI7swlXGO/3Z/EAVs91Hj/Hmqv+5ILpI/zgA -tWcqmjk5hfJT6pefHgblB9g4wmuhzj4/Ge4069ded9nKSZ7fPtCc8ZuzkY4X -De2pytxz6I7QqF4kldu9JkcbemszKVVL983Pvd4534bSqRMrMnWdd+7GveU9 -1VvNFM7w50e5es1Ze1s3q2BLVUEwOaTX1/3i66Db8H9yZKYjNwPLWpwAgvMm -qD0T0czKKZQfMDRAquN9PGIMi0ZVe1P3qW2qpbUpfn67Hmq3pyUPd5g16Iyj -IU/OJaaWdqrvu1F0Vpy9wNPdwyq8vsSNm2lYhUxJRcVNj1v7THiQmp8/+KJ/ -68NSnfiRzdGpA8MWHEeqCsPJYave5NCIPM1Z5Bms2nFRKlrOhkxdmttK2mi9 -D4JjE9QeyWhKKjmF8gOGCJJHO325+leDVfTWnp39gs27k1MSv1+77bT2wqm0 -9c6FPQEvj3DdkHW9WkS6SjCiyVtzI91eGPachmHDveL+0U0Pkoc7fecdrDd6 -JIIZqSj/6qppDm5BMXGHM9J/yasV69aWlurEj2yOzn4wJgc8qSjSdDU54OVR -Prv/rG2vzvvOY+Ro7r7L9W13syKd/jUhIvOWAOkoiFu9KenI0eQt0fGFHZRX -rQTHJqg9MtH6oJBTKD9giKDgF2z5aM/A+zD1z9kth1o0VFi6NXRHWRfGSLEp -qWzRqSSUyiws6iiQanY0my0/wPaR1OckpV5u7l9pqWsvoZrOSiYZTVKfm5L8 -exPukxa2IpUtOpWmpTILizoKpJoTzbbLD7B9UKStvW/rWSkXlmetmTjilbf3 -5ZYLLD6JphZNIW7hIybWV7YglS06SUplFhZ1FEgdeuUHAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAGRRdJbErwzhTnaatnT/PRFcDgcGFSg/AACwENemH/5boFAi -tWkBE4Nxnr4FAOsA5QcAACaovEeuXq2Kbq3hLi8FawNgMIHyA3BAZew4i2aL -TvYiurt3RSoJu1j6gJwCOga//AAaQXuqjq+ZO8nuxdFOflHHHvVgj2ykMf/4 -r/e7TQ17FOEVpq0PeuPDQhqMVsQ1J7eEB/tPeZUzc3l6neoxdIXgVnZmUavR -m7mY1alB1pS9eHqY9k1idEk17gQGpBKi4BfFR21KPHI4cWNUwjW+3hvk0K6K -zIMFbZY+7znUckpuxFHBeiMFyg9gjJ77CWv3X29BpO03979v/5L33irjApQ1 -/7bu0zQSyw9U8rSBd2O9y3gaDKkldSd/vNiAqHy9zy1+zVnrONNzLyns60tG -hmfM6dT+Nu/Mcj87jv5bLmmQitMJgyqVGEXbhWWe72U3935V3nR6vmfYxba+ -6QEV1+Wd+atF2vtfuuuqhObOEEMvp2RGHCWsN1Kg/ADmkDZfvtSkGRui29HO -jjoTZB296Q/zjRr41nsCzDGvwUIhFWl2ZySV22fNO6D1pEE78sNmRapcN21D -pxppQ/bWpPNxMwa6qlkuFa8TBk+qCeSN6VxHnclOfZqPo/8JlRmCtCEz3M3Z -zaOXKZ7+2yowPE91IVpyVsWUYvfFEMwpiRFHEeuNlGe9/ABboetGxOTZhq/X -V8p5JwLdlxTrJ0/RVXEyNtQv8Kv4jWHvTuM4+UZm9r8on/L8QBit94z/Zsqy -0KTKfi80tOOPYPeQvHaDOmZQp7T+VGxqpaDWyPGTJqkYnTBYUpVKhJefEh7w -5oojB+M3hwe6eoUdLck5sD1moa/LmxsK+J3FCx3sdbNr59WgsWTNSft7A99H -YyjnVAX2iDNDrfpTa42UZ7b8ABsB5Resnreh0Mi3uKtkscuMH2oGjh+0/aL/ -WKcY1UJH1pj18Xi7uaeaNKfNRPODuCY7ObXQ6NwdN5q8s+zUzlVBbiOHO0X0 -e5+JH3zj5fFlucFaiDGdyOP02ENVYkw3ajqkYnfCIElVISpf5+IQpPJ4Q1tz -Au04EX92KJSyulSfCe/l114KHOOgmw6ExQvtx8y9Qu28hWByGLI57fsUZ8RR -Vqu05kh5hssPsAkU/Gu71h+qxLguy78yhzPzeKNB9el7uAiLF3Fe1+1FE8wP -ssaM+Rz3yDKjXWv8aCpQYckm13GBOa0acUh1wnSXpYbLI4Z0tlcfiz1Wo1oV -Yo04eqRidcIgSVVBYJyd8ajok/HjQrQLV8HVBePILlxlvNOfzQ9UMdt99Bhv -rvqfC6KL9KfqoZxT/BFHUa3VRwpWZDN0sq/8AOZBe6oy9xy6I8RMi/BaqLPP -T4Y7zfq11122cpLntw80Z/zm7PnjR+uj++bnXu+cb9Pok1Ru95ocbeg7zYzO -O3fj3vKe6q1mCmf486Ncveasva0bqvRIxeqEQZKqgmBySK+v+8XXQbfh/+TI -TEduBpb5NgEEC9chm1PCEUdNrfVHClZk6jpZWH4A0yBPziWmlnaqb29RdFac -vcAbcN8QUh3v4xFjWDSq2pu6T+1mLa1N8fPb9VC7PS15uMOs+cEwGipuetza -5/2C1Pz8wRf9+wnC60vcuJmGJciUTh0YbtQWS8XvhEGSqsJwctiqNzk0Ik9z -FnkGq3ZclIqWsyFTl+a2kvYh74NgchiSOTU54qiqtd5IecbLD2AUeWtupNsL -w57TMGy4V9w/BgNF8minL9fwgm1v7dnZL9i8Ozkl8fu1205rL5xKW+9c2BPw -8gjXDVnXq0WkqwQjGsq/umqag1tQTNzhjPRf8mrFugWb5OFO33kH642eh2BG -Zz8YI85SqfidMGhSUaTpanLAy6N8dv9Z216d953HyNHcfZfr2+5mRTr9a0JE -5i0B0lEQt3pT0pGjyVui4ws7KN+tSzQ5DMGckhhx1NRab6Q88+UH2DoKfsGW -j/YMvA9T/5zdcihEQ4WlW0N3lHVhDBOb0qkcKlKZhUUdZX2p1AJC+QHPApL6 -nKTUy839Ky117SVU01nJZKJJ6nNTkn9vwr3p1lZ0KoeUVGZhUUdZWSqVgFB+ -wDMDirS19209K+XC8qw1E0e88va+3HKBxU9cU4imELfwEROLK1vQOfSkMguL -OspqUqkFhPIDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGooOkviV4ZwJztNW7r/ -nmjIXsmmt5lW6rRnJBcAAACmENemH/5boFAitWkBE4OH7JOL9DbTSp32jOQC -AADAJKi8R65eoItureEuL6XmSsAe6G2mlTrtGckFAJgClcGuAaBBdHfvilQS -prT0wUj50dtMK3Xa4OcCAKwM0ph//Nf73abGPIrwCtPWB73xYSENvqLimpNb -woP9p7zKmbk8vU71+LhCcCs7s6jV6I1aFHWiPVXH18ydZPfiaCe/qGOPsC0I -zEHWlL14epj2JWA0qcXoBwakEqLgF8VHbUo8cjhxY1TCNb7ee+rQrorMgwVt -lj6qaevlZ0EzBybC0miDkAsAsB1kzb+t+zSNxHILlTxt4N1Y7zKeBs9rSd3J -Hy82ICpD5HOLX3PWOsX03EsK+/qSkVEZFZ099xPW7r/egkjbb+5/3/4l771V -9Mz3Mt6Z5X52HP0XVNKgFqcfBlUqMYq2C8s838tu7v2qvOn0fM+wi219MyIq -rss781eLtPe/dNdVCc2dFG29/CxppnEiLOs0a+cCAGyI3nIP840a+LZ6Aszx -x8H8WalIszUjqdw+a94BrZcM2pEfNitS5ZZppk5p8+VLTZqjkeh2tLOjzq/Z -IqQN2VuTzsfNGGiIZrFa3H4YPKkmkDemcx11/jj1aT6O/idUPgbShsxwN2c3 -j16mePpvq8CwK9WFaMlZFVOK3Re2Xn4UmmmEcSIsiaakJRcAwBbkvBOB7kuK -9ecGRVfFydhQv8Cv4jeGvTuN4+Qbmdn/gnvKkwNhNKVCcDNlWWhSZb+HGdrx -R7B7SF67wRxKVaearhsRk2cbOgGYI1Vafyo2tVJQa2TWSZda434YLKlKJcLL -TwkPeHPFkYPxm8MDXb3CjpbkHNges9DX5c0NBfzO4oUO9rrje+fVoLFkfUX7 -ewPfg4At5WdGfNxEEGH1XAAAW+gqWewy44eagdM32n7Rf6xTjGr5KGvM+ni8 -3dxTTZptAqLJQVyTnZxaaLRvhBtN3ll2aueqILeRw50i+j3LxA++8fL4stxg -7UdVp+pTfsHqeRsKMS2WKUlFHqfHHqoSYxpJ06EWux8GSaoKUfk6F4cglT0b -2poTaMeJ+LNDoZTVpfpMeC+/9lLgGAfdDCgsXmg/Zu4VauctBMcmtpQfAdQT -QYiVcwEAbIF/ZQ5n5vFGgwGt770iLF7EeV13HYRgcpA1ZsznuEeWGV0xwY+m -AhWWbHIdF5jTqjmGINUJ012WGi4HqepUKvjXdq0/VIl9JwQVqe3Vx2KP1ajW -wljzDE1qMfphkKSqIPC8znhU9Mn4cSHatbrg6oJxZNfqMt7pz+YHqpjtPnqM -N1f9zwXRRfqLBbaUHxGUE0GItXOhh0EuAMCmEF4Ldfb5yfAqh/5w6y5bOcnz -2weabQ9zNvzxo/XRffNzr3fOt2mGiaRyu9fkaEO/aGo60Z6qzD2H7ggpjzzj -gHfuxr3lPdVbzRTO8OdHuXrNWXtbN7nRoRa7HwZJqgqC+TC9vu4XXwfdNY4n -R2Y6cjOwfLMJIDhvYkv5UYtvIhGEWDkXAMAWkOp4H48Yw6GoGm5T96mNoqW1 -KX5+ux5q9+glD3eYNTkYRkPFTY9b+zxbkJqfP/iif1NFeH2JGzfTcMhR0Yk8 -OZeYWtqpvoNJ0Vlx9gKP9J16+A1XYhpJW6wWvx8GSaoKw/lwq9582Ig8zVnk -GazaZFIqWs6GTF2a20ra7bwPgmMTW8qPanwdWIkgxMq5AADWIHm005dreL9A -73Czs1+weXdySuL3a7ed1l49lrbeubAn4OURrhuyrleLSI8KjGgo/+qqaQ5u -QTFxhzPSf8mrFetOFiQPd/rOO1hv9JQJWZ3y1txItxeGPadh2HCvuH/I30SO -0/A+MOYZS9Xi98OgSUWRpqvJAS+P8tn9Z217dd53HiNHc/ddrm+7mxXp9K8J -EZm3BEhHQdzqTUlHjiZviY4v7KC8UCc4NrGm/KjF74fascn6uQAA9qDgF2z5 -aM/A+071tyksh0I0VFi6NXRHWRfGFG19nZQDMqqWNqnMYlMdZVYv0V6EAABo -kNTnJKVebu5fvKqHW0I1nZMDmWiS+tyU5N+bcO/5trJOigEZVkunVGaxlY4y -s5doL0IAAPpBkbb2vv13pVxYnrVm4ohX3t6XWy6weNOAQjSFuIWPmFiyWk0n -5YCMqqVfKrPYQkeZ1Uu0FyEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAsB9FZ0n8 -yhDuZKdpS/ffE9F2y4KVwgKDDJQHAABMIK5NP/y3QKFEatMCJgbjPKJqM2GB -QQbKAwAARkDlPXL1slV0aw13eSldlgdWCgsMMlAeAEAaVMaaLQAWSRXd3bsi -lYT9q22EJYBFfc4ihkx5AAAVkMb847/e7zY1p6AIrzBtfdAbHxZabhqD9lQd -XzN3kt2Lo538oo490nhZKAS3sjOLWgleZ8aAVKW45uSW8GD/Ka9yZi5Pr0NI -6SRA1pS9eHrYQOO/rorMgwVt5j28qeAXxUdtSjxyOHFjVMI1vt6L5iwK2w9b -+pyUTuzCG2ypBLCuPADASsiaf1v3aRqJtRMqedrAu7HeZTwNptg99xPW7r/e -gkjbb+5/3/4l771V2ne+9NxLCvv6kpFFHHNSJXUnf7zYgKi8xc8tfs1Z6/5D -pJMIGe/Mcj87jt77P1FxXd6Zv1qkvdNId12VkGJERduFZZ7vZTf3fk3edHq+ -Z9jFNgUNYfv1sqTPSerEL7zBk0oE28oDAKxFb+2G+UaRfom/OQY6GEibL19q -0kwKotvRzo46p2mVLXZ+2KxIlY+oTUhVKqQizS6VpHL7rHkHtG5DuDqJkDZk -b006Hzej329O2pAZ7ubs5tHLFE//bRXkHVfVyBvTuY46T5/6NB9H/xMqhwcL -w2phS5+T1UlUeIMklVCeDZaHvCVnVUwpeZcPAKAFOe9EoPuSYv3KU3RVnIwN -9Qv8Kn5j2LvTOE6+kZn97/2nPPkQRlPTdSNi8mx9mwS0449g95C8doNRzbBU -heBmyrLQpMp+XzocnQRxpPWnYlMrBbWUvFARXn5KeMCbK44cjN8cHujqFXa0 -JOfA9piFvi5vbijgdxYvdLDXTbCdV4PGkvVCJQNb+pyqTjVGhTcoUllXHkQW -JwBgNbpKFrvM+KFm4PhE2y/6j3WKUa35ZI1ZH4+3m3uqSXPOTzT5iGuyk1ML -jbYxCKKpPuUXrJ63oXCAObT4wTdeHl+WG6zlmJQq7yw7tXNVkNvI4U4R/T50 -2Dpx4yCP02MPVYmp+3SLyte5OASpLOXQ1pxAO07Enx0Kpawu1WfCe/m1lwLH -OOimG2HxQvsxc6/QcL2nD7b0OVWdSuzCGwypuHFstTzg2AQwAv/KHM7M440G -o1DfkkZYvIjzunYXnWjykTVmzOe4R5YZeU/jR1Mq+Nd2rT9UaXBBGqlOmO6y -1HB5x7BUpcrep2ST67jAnFaUSCdOnPbqY7HHalQLZMqTD4FPd8ajok/GjwvR -LowFVxeMI7swlvFOfzY/0IAF0UX6szVb+pyqTpzCGwypOHFsuDxmu48e483F -Kg8AsB7Ca6HOPj89NtjX0B873WUrJ3l++0CzV2HOBQW8aGhPVeaeQ3eERsUu -qdzuNTna0KmbSalaum9+7vXO+TaUSCd2nDt3497ynuqtZgpn+POjXL3mrL1t -NPthQjD5pNfX/eLroLug8OTITEduBhVHcWLY0ufUdOIW3mBIxY5jw+UB500A -IyDV8T4eMYbjRzV2pu5Te5lLa1P8/HY91G6sSx7uMGvyMY6GPDmXmFraqb5p -SNFZcfYCT3fDlPD6EjdupuEQYkoqKm563Npn7IPU/PzBF/2bNtg6iVUpqfp0 -K40nn616k08j8jRnkWewakdHqWg5GzJ1aW4rabtyk7Clz6noJCi8wZCKL0yD -rZUHHJsAZpA82unLNbwg3Dt27OwXbN6dnJL4/dptp7WXfKWtdy7sCXh5hOuG -rOvVItIljhFN3pob6fbCsOc0DBvuFfePboaQPNzpO+9gvdHTIcxIRflXV01z -cAuKiTuckf5LXq1Yt9rG04mvqg9qkw+KNF1NDnh5lM/uP2vbq/O+8xg5mrvv -cn3b3axIp39NiMi8JUA6CuJWb0o6cjR5S3R8YQetdwOzpc/J6iQsvMGRih2n -H1srDzg2AQyh4Bds+WjPwJtI9fccLIdaNFRYujV0R1kXxoaLTUkl0Em3KiZh -S59bXye1gM9IeQCAVZHU5ySlXm7uX3Sqx05CNZ2TD8lokvrclOTfm3Dv67UV -qSZ00quKYVjS59bWSSXgs1QeAGBVUKStvW/TXCkXlmetmTjilbf35ZYLLN4g -ohZNIW7hIyYuUduCVEKd9KqyCWy+z62tk0apQ7A8AAAAAAAAAAAAAAAAAAAA -AAAAAAAAgEFC0VkSvzKEO9lp2tL990SWvmmF3mjWDmuD2HI6IAtDnme24YDt -Ia5NP/y3QKFEatMCJgZb+uwgvdGsHdYGseV0QBaGPM9swwEbBJX3yNXLI9Gt -NdzlpRbaRtAbzdphbRBbTgdkYcjzzDb8GQOVsemUWHR374pUEratTESzdlgC -mEqiLacDsjDkeWYbzlqQxvzjv97vNjVOUIRXmLY+6I0PCy03CEJ7qo6vmTvJ -7sXRTn5Rxx5pzAoUglvZmUWtWO8gI0Bcc3JLeLD/lFc5M5en1+k/bY92VWQe -LGgz5wlHWVP24ulhA15rZkE01Ut1iuKjNiUeOZy4MSrhGl/vdXMWhe2HgSRq -GdhX+Ek0o6XYdWJuNOuUij5DIAukmkCQFzMxTo0NzQYAI8iaf1v3aRqJtQQq -edrAu7HeZTwNpts99xPW7r/egkjbb+5/3/4l771V2iLquZcU9vUlI183fCR1 -J3+82ICozKPPLX7Nud9SBxXX5Z35q0XaW+TddVVCSiUp451Z7mfH0XvlpiXR -1J7hyzzfy27u/Zq86fR8z7CLbQoawvbrZSKJ2t826ivMJJrVUtw6MSuaVUpF -jyGQBZJNwB+/ZoKTGtuYDQBG6J00w3yjSL+R3xyDHgykzZcvNWmqWXQ72tlR -Zxut8rLOD5sVqTIFJYdCKtLsjEgqt8+ad0Dj4iNtyAx3c3bz6GWKp/+2CmP7 -UQJ5Ddlbk87Hzei3eLMkWi/yxnSuo85Gpz7Nx9H/hMo8gUJYeUvOqphS7Dwx -k8Q+jPtKhVESzetAvDoxMx1WKBX96OzPAtkmEI1f88BJDQOzAdFAAwYROe9E -oPuSYv1MKLoqTsaG+gV+Fb8x7N1pHCffyMz+l/hTHlCE0dR03YiYPFvf3gDt -+CPYPSSv3bAciUMpBDdTloUmVYqV5MCPJq0/FZtaKailZD+K8PJTwgPeXHHk -YPzm8EBXr7CjJTkHtscs9HV5c0MBv7N4oYO9bvx2Xg0aS9Z+VAeBVQGDScTt -K7wkUv8JLUZ1YnY0qqVCjiGQBapNUEMlLyYDGqdmcGYDPcATxEboKlnsMuOH -moGFhbZf9B/rFKNarMgasz4ebzf3VJPmHJhoQIlrspNTC43OvwmiqT7lF6ye -t6FwgNOz+ME3Xh5flhuvbXBDyTvLTu1cFeQ2crhTRL+5mwmwoyGP02MPVYmp -W2OLyte5OASpXNzQ1pxAO07Enx0Kpawu1WfCe/m1lwLHOOiORsLihfZj5l6h -tmImGDKMJZGor3CTiAf1OjErmlmlQoYhkAWqTVAS54XqhICdmkGaDXTAsclG -4F+Zw5l5vNEgf/r+MsLiRZzXddu2BANK1pgxn+MeWWZkJI0fTangX9u1/lCl -wZVUpDphustSrPMKglBKlWdOySbXcYE5rSQnMIxo7dXHYo/VqNZflI9NBNbY -GY+KPhk/LkR73iS4umAc2fMmGe/0Z/MDVcx2Hz3Gm6v+54LoIv3JgKEkEvcV -fhLxoFwn5kZTUi6V/izoMfSyQLUJxHkxZ0JQGqdmkGYDMgMNGEyE10KdfX56 -bHBCrp/07rKVkzy/faA5OTZnkxwvGtpTlbnn0B2hUfIlldu9JkcbOmwTC+uj -++bnXu+cbzPj2NQX7c7duLe8p3qrmcIZ/vwoV685a28bDS5MCI5N6fV1v/g6 -6K43PTky05GbgWXWTQDBco6ZJJroK/wkkv8JE3ViVjQt1EqFBEMgC9SaYF5e -CAJqGZiawZoNtMB5k42AVMf7eMQYJl6V9Kn71GbV0toUP79dD7U7uZKHO8wa -UMbRkCfnElNLO9V3qyk6K85e4Onu9BFeX+LGzcSau7FCoeKmx619bjlIzc8f -fEH+LB6/mUqq1thK42PTVr1jUyPyNGeRZ7Bqw0+paDkbMnVpbitp0/I+CIYM -c0nUgNVX+Emk9hMEdUI5mvmlQoIhkAUqTTA3LzgB8VMzWLOBFjg22QqSRzt9 -uYZXMnuTbme/YPPu5JTE79duO629xihtvXNhT8DLI1w3ZF2vFpGeWzGiyVtz -I91eGPachmHDveL+0ZW25OFO33kH67Eea8AIhfKvrprm4BYUE3c4I/2XvFox -+WUSTjP7oHZsQpGmq8kBL4/y2f1nbXt13nceI0dz912ub7ubFen0rwkRmbcE -SEdB3OpNSUeOJm+Jji/soDwpEg0ZZpLYD0ZfESSRwk8Q1gnlaBaUChmGQBbI -NsGCvGAHxE/NoM0GWuDYZDMo+AVbPtoz8KZK/ZNly6EWDRWWbg3dUdaFWVRM -CrNlWJVEen5icKORYghkwfpNoBZwEGcDwBaR1OckpV5u7l8tqZOeUE3ngCIZ -TVKfm5L8exPeDanMCbN52JNEOn5isKORhf1ZsHYTqAQc1NkAsFFQpK29b5dW -KReWZ62ZOOKVt/fllgss3o+nFk0hbuEjeMs8JoWxAjYkkZ6fGNxo1GBzFjRY -rQnUAg7ibAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8wyg6S+JXhnAnO01buv+e -CN7nMpSBXAMAwBLEtemH/xYolEhtWsDEYHhCcSgDuQYAgC2g8h65egEturWG -u7yUms0HwCog1wDbQGXsOL1ni042Irq7d0UqCYPXwYUtGWeLzj5sM9fAswHS -mH/81/vdpgYMivAK09YHvfFhIQ1mneKak1vCg/2nvMqZuTy9TvVst0JwKzuz -qJXg5V9M6NQga8pePD1M+7IymqSiPVXH18ydZPfiaCe/qGOPqFhA0KsWC+ME -6WR3VWQeLGiz7IFHcm2HyjQJDbkmyIWpXJNrOH4tWQAdRQ7YNLLm39Z9mkZi -XYRKnjbwbqx3GU+DkbSk7uSPFxsQlQPyucWvOWuNV3ruJYV9fcnIjYw5ndrf -5p1Z7mfH0X+RJg1Se+4nrN1/vQWRtt/c/779S957q+gZtRTVYoKToN7eFdfl -nfmrRdo7G3TXVQnNPUCRaTtUpmnoyDVuLkzlmmTDcWvJEuhoOGDTKNouhPlG -kbaCMMd0BvNnpSLNvoakcvuseQe0njFoR37YrEiVlaVt6FQjbcjemnQ+bsZA -4zaLpUqbL19q0swCotvRzo460/bBVIsDToKkDZnhbs5uHr1M8fTfVkHe1tZA -pOm2Q2WahpZc4+XCVK5JNxyvSy3A/IbLW3JWxZSSt74BmELOOxHovqRYP1WK -roqTsaF+gV/Fbwx7dxrHyTcys/9d/JRHFmG03hPxmynLQpMq+y3B0I4/gt1D -8toNyotBndL6U7GplYJaI1NRmqSq6boRMXm2oTnBYKilnCD6wW47VKbJaDTn -WgWFOqRc51RricaG68sGCwyW0FWy2GXGDzUDaxFtv+g/1ilGtf6QNWZ9PN5u -7qkmzYky0cgS12QnpxYanVLjRpN3lp3auSrIbeRwp4h+CzDxg2+8PL4sN1ik -MaYTeZwee6hKjGl4TY9U1af8gtXzNhRi2j9bWS2RNuwE0Qxe26EyTUSjN9d9 -nxLUoRHUGk5cS9ZvuA44NrEF/pU5nJnHGw2KQt8YRVi8iPO6bouYYGTJGjPm -c9wjy4w2k/GjqUCFJZtcxwXmtGoGBFKdMN2lzz6WeZ3t1cdij9WoFmtYA4Ee -qUoF/9qu9Ycqse8GsLZaE9qUxgkygYx3+rP5gQYsiC7CnvDw2w6VSRjNCrkm -rENjKNe5EreWBqHh/WU52330GG8ucVkCNoDwWqizz0+GG8D6JdFdtnKS57cP -NCfi5uyW40fro/vm517vnG/TFImkcrvX5GhDX2hmdN65G/eW91RvNVM4w58f -5eo1Z+1t3QiiQyraU5W559AdIeUhQpNaIm1aBiaIPgjbDpVJFI32XFOvQ6oN -74NaLdHYcC1w3sQWkOp4H48Yw1yqSmLqPrXLsrQ2xc9v10PtrrHk4Q6zRpZh -NFTc9Li1z5sFqfn5gy/6T/OF15e4cTN5BssxpnTqwLJot1wq8uRcYmppp9qT -W9FZcfYCj/SdejSpxQuFnyC6MNF2qEwy0ZR05Nq8OiTfcPNricaGa4FjE2uQ -PNrpyzW8+NlbEnb2CzbvTk5J/H7tttPa65nS1jsX9gS8PMJ1Q9b1apGC7E9g -REP5V1dNc3ALiok7nJH+S16tWLeOkjzc6TvvYL3RYwrM6OwHYyBYKlXemhvp -9sKw5zQMG+4V9w/5m8jpUosdCj9B9ECi7VCZpqL1YXGuza1Dsg23oJZobLgW -ODaxBwW/YMtHewbeIKp/Km05FKKhwtKtoTvKujCq16Z0KhmWSjkggVoraKMH -m8r40KhMeoWxquEAK5HU5ySlXm7uXwCpSyKhms4CIxNNUp+bkvx7E+4NrLai -U8m4VIoBTailXRtt2ErGh05l0pxr9jQcYCso0tbetyOslAvLs9ZMHPHK2/ty -ywUWX2SgEE0hbuEjJtY8tqCTaan0qqVdG83YQsaHSmVaJddsaDgAAAAAAAAA -AAAAAAAAAAAAAAAAAAAw6Cg6S+JXhnAnO01buv+eCC7oMg+9GbHlaAAAADiI -a9MP/y1QKJHatICJwfBcIPPQmxFbjgYAAIAHKu+Rq5e/oltruMtLMd7QCQwu -9GbElqMBwBAClbFmH4FFUnsR3d27IpWEfeozCSOppDcjthyNDGwZTWzRCZAA -acw//uv9blMZRRFeYdr6oDc+LLTctRPtqTq+Zu4kuxdHO/lFHXukeTG/QnAr -O7OoleB9WAxI1SJryl48PUz7/i7TUrEQ15zcEh7sP+VVzszl6XX6z7ujXRWZ -BwvacJ8xJNdw/PgWQEfDMWAilcb9g98cUxnB0opZ1eZG0zKw/y2Npo+tp4BJ -nRqsVPwAGWTNv637NI3EAgyVPG3g3VjvMp4GR+me+wlr919vQaTtN/e/b/+S -994q7Tzacy8p7OtLRjZjzEnV/jbvzHI/O47+uyWJpGIiqTv548UGRGUMfW7x -a8791jaouC7vzF8t0t7i766rEhpFJNlw3PiWQEfDMaIykUqc/sFqjqmMYIJb -1WZF02Dc/5ZE0w9s4ylgVKf2t61S/AApFG0XwnyjBr5ongBz3GcwkDZfvtSk -Gbei29HOjv8pFGg/Qzvyw2ZFqrwubUKqRnBD9tak83EzBnqZ4UrFQSEVabYb -JJXbZ807oDG/kTZkhrs5u3n0MsXTf1uFoWsn6YbjxLcE8xsub8lZFVOKLZqh -VOL1j1FzTGUEG7yqNi+aVolh/1OIxuYUMKxTDT2jHjAPOe9EoPuSYv3MK7oq -TsaG+gV+Fb8x7N1pHCffyMz+d9NTTj1hNDVdNyImz9Z/1T7a8Uewe0heu0Hu -GZQqrT8Vm1opqDXy2cSRaqLVCsHNlGWhSZViJSmoNpxqfDobri8b34yA4aoz -7h8SzaEQX4VRVZsVDbf/yTEEUsCmUQ/QSlfJYpcZP9QMHEJo+0X/sU4xqpWB -rDHr4/F2c081aU5hiVIvrslOTi00OtkliKb6lF+wet6GwgHWyOIH33h5fFlu -sCBkTCryOD32UJUY0wMaWyqRMHln2amdq4LcRg53iiBnskat4cTxrd9wHQQT -I5NVh90/pptDNn7fpxhVTT0aUf+TYgikgF2jHqAR/pU5nJnHGw3SpW+bIixe -xHldd+WCIPWyxoz5HPfIMqNrHPjRlAr+tV3rD1X2DBzDSHXCdJelJQZ3xzIk -tb36WOyxGtVKCqtKsaWaaLVSZTVTssl1XGBOK4nZi2rDCeIPQsNlvNOfzQ9U -Mdt99BhvrvqfC6KL9OdphqsOo3/w84gH5aqmGo24/4kYSilg2agH6EN4LdTZ -5yfD6xL6yeouWznJ89sHmpNvc7Zz8aKhPVWZew7dERoNYUnldq/J0YZuz8xI -vXM37i3vqd5qpnCGPz/K1WvO2tu68saWSiysj+6bn3u9c76NxPxFteFU49Pc -cC0Ei3Ymq07LwP4x3Ryy8XGrmmI0E/1PiiGQApaNeoA+kOp4H48Yw15WJWvq -PrUxs7Q2xc9v10Ptfq7k4Q6zUm8cDXlyLjG1tFPtS63orDh7gae741l4fYkb -N5NnsFZiTqoGDA9oHKl4oVBx0+PWPpMZpObnD74gt6dHvuHmxae54VoIJkam -UonfP6abQyY+YVWbEU0DVv+TYgikgGWjHqARyaOdvlzDa7a9ybKzX7B5d3JK -4vdrt53WXmmUtt65sCfg5RGuG7KuV4sUZH8CI5q8NTfS7YVhz2kYNtwr7h/d -IJY83Ok772C90TMEzEjtB6NK8aRih0L5V1dNc3ALiok7nJH+S16tmOTammzD -zY1Pb8O1EEyMDKUSv39INIdEfMKqphytH2scm1iTAnaNeoBOFPyCLR/tGXgn -qv5JruVQi4YKS7eG7ijrwphXWSSVXmGsajgpbKpFZjWHyf6nBbakwKZ0Kuko -foA8kvqcpNTLzf1LE3WyEqrpTD3JaJL63JTk35twb71lj1R6hbGo4WSxlRaZ -2Rzm+p8+2JICW9GppK34AfKgSFt73y6wUi4sz1ozccQrb+/LLRdYvKVKLZpC -3MJHTCxI2CCVXmEa2NBwathCi8xqDpP9Ty9sSYEt6CQpFQAAAAAAAAAAAAAA -AAAAAAAAAAAAgDEUnSXxK0O4k52mLd1/TzRkr24+I83E5Flu+1CC3jxCVQC2 -jbg2/fDfAoUSqU0LmBiM83gi+3lGmonJs9z2oQS9eYSqAGwcVN4jV6+ZRLfW -cJeXDtW3Nj4jzcTkWW77UILePEJVACxBdHfvilQSlpr0gcoY2EcY/GbaDs9I -is2DRVLpzeOzPCKGEEhj/vFf73cTFzHaU3V8zdxJdi+OdvKLOvaIij8ADuKa -k1vCg/2nvMqZuTy9TvXQtkJwKzuzqNW891jJmrIXTw8b6BHWVZF5sKDN0sf3 -SPWP6ulBXmHa+qA3PiykwZSTSueYaiZD+dUwMC+QYl0szA433T+2Xo3U4ujk -mp9H61UFwCyy5t/WfZpmcoHRcz9h7f7rLYi0/eb+9+1f8t5bZeH7RCR1J3+8 -2ICofKXPLX7NWevP0nMvKezrS0b2YCaR8c4s97Pj6L2zERXX5Z35q0XaO466 -66qE5tYpyf7p/T3J0wbejfUu42kwjKbQOaaayVR+tT9vlBdIsRr8DifqH1uv -RnPiWJZHq1UFwDCKtgthvlGm34Asbb58qUkzeES3o50d/1MosPCXpSLNdoOk -cvuseQe0Di5oR37YrEiVRyUFpA3ZW5POx83o9wiTNmSGuzm7efQyxdN/W4WZ -FpZk+0eDOeYymD9LtnNMNZO5/GrkGeYFsxXmhWJ1iok6HLd/bL0azYtjSR6t -VhUA08h5JwLdlxTrF7uiq+JkbKhf4FfxG8PencZx8o3MHPhOeWXXjYjJsw1f -ao8PcUCF4GbKstCkyn5PMrTjj2D3kLx2w4rHjyOtPxWbWimoNdPYmgCq/UN5 -NqCrc2jSr4a2/OLmBVI84H8YdThO/7CmGqnGMVeV9aoCYJyuksUuM36oGTgN -oe0X/cc6xajWQ7LGrI/H28091dR/YozyC1bP21DYiTU7imuyk1MLjc7ycQPK -O8tO7VwV5DZyuFNEvweZ+ME3Xh5flhsveLDjII/TYw9ViSkbW5OBav8QzQZW -7hxa9CtpzC9RXiDFxB2O3T8sqkaKcUww+FUBMA7/yhzOzOONBiWib3ciLF7E -eb1/Z1jBv7Zr/aFK7CvlssaM+Rz3yDIjX2mCgEqVX0rJJtdxgTmtmqBIdcJ0 -l6UlGHd/YsRprz4We6xGtYyiWqIy3unP5gcasCC6SH+SoNo/BLOB1TsHC+by -S5wXSDFxh2P3D5uqkVocUwx6VQCMI7wW6uzz02OD7Rv9SuguWznJ89sH6vNv -tKcqc8+hO0LKOcQLqKX75ude75xv08SVVG73mhxt6NKMHefO3bi3vKd6q5nC -Gf78KFevOWtvG404c6HWP+bt8NPVOZbrpzG/JvICKSbucOz+YVM1UotDXZWV -qwJgHKQ63scjxrC2VJUwdZ/abVpam+Lnt+uhanmCPDmXmFraqTZCVnRWnL3A -I30nF1ZAVNz0uLXPKQWp+fmDL/pP8IXXl7hxM3kY5/vYwjSYbWxNAJX+USF5 -uMOs2YCOzrFUP8351YGVF0ixkrDDsfuHTdVILY45qnRYoyoA5pE82unLNbzu -3VsJdvYLNu9OTkn8fu2206oLj/LW3Ei3F4Y9p2HYcK+4f8jfZIwREOVfXTXN -wS0oJu5wRvovebVi3QpK8nCn77yD9VhPTmDE6ccqJUq2f1RIW+9c2BPw8gjX -DVnXq0UKsj9BV+dYpJ/2/PaDkRdIMXGH4/UPi6qRUhxzVPUDx6YhioJfsOWj -PQPvtNQ/g6YFCgFRYenW0B1lXZh1S7sw01i/f+jqHGxsLb9KSLEpCPrHpqQO -Yh4ZqArAFpDU5ySlXm7uX42pKyGhmua5i0xASX1uSvLvTXi3L9MujBRW7h+6 -OofgezaTXyWk2LQU4izbitRBzSMzVQHYAijS1t63EayUC8uz1kwc8crb+3LL -BXQ8U00hoELcwkfwTgpoF0YBq/UPXZ1jAhvJrxJSbOp/k8myLUgdxDwyWRUA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALAGRWdJ/MoQ7mSnaUv33xNZ+t4u -eqMBgEmg5ABgKCKuTT/8t0ChRGrTAiYG5/NtKRoAmASr5FBhxZnf6/Xf0GD8 -F0ykjw99uh18lQDABkDlPXL1WlN0aw13eSnJl4gPTjQAMAl2yUkbsr5MvK3/ -XgjjvxgjfXzwgxiyL9IHgAGgMtactLNIai+iu3tXpJIw1GYiGhlY1Nssksoi -DEtOVP7fnx4Z8H4/478YIKs/9mHkNTpMlYEhAdKYf/zX+92mhiuK8ArT1ge9 -8WGhxT7Oqvf/H18zd5Ldi6Od/KKOPdIY1CgEt7Izi1oJ3lXKgFQtsqbsxdPD -tC+NNC0VC3HNyS3hwf5TXuXMXJ5ep/+SFbSrIvNgQZs5D7YPFGZpNH2gMAgx -ziZdOvHrxALoKGDMUGqwSk587//9Z9cAB1vjvwxA3pAZuuIqfWMWYDWy5t/W -fZpGYoGNSp428G6sdxlP8b36WPTcT1i7/3oLIm2/uf99+5e891Zpx1/PvaSw -ry8ZOW4yJ1X727wzy/3sOPovNCaSiomk7uSPFxt6WypvObf4Ned+PzVUXJd3 -5q+W3vWkoruuSkjpkGIszJJo+oGhMAjBySYNOnHrxBLoKGDcUHglx8//IKA/ -hdh/0UPOy/o44jIfzmmBXhRtF8J8o0i/Qd4cPzIMpM2XLzVp6lN0O9rZ8T+F -utN4tCM/bFakymDZJqRqBDdkb006HzdjoIEmrlQcFFKRZi9JUrl91rwDGh84 -aUNmuJuzm0cvUzz9t1G6DmwsjEI0eUvOqphS7A6FwjAFTjZp0IkX2QLoKWCc -UPglJ7qzZvo7A/xrjf/Sj6L5/xZ+eqkdDk2AUrVQORHovqRYf7gouipOxob6 -BX4VvzHs3WkcJ9/IzH5DFMrjmjCamq4bEZNn67vOoB1/BLuH5BmWKINSpfWn -YlMrBbVG5s44Uk20WiG4mbIsNAl/Z8NyYeSQN/zyTgj2nXxQGGSlGmeTJp2D -USfUC5hayUke/c+MaQM8bY3/0v+jT3MWL7tI1uwWGOJ0lSx2mfFDzcB1Gdp+ -0X+sU4xqOSVrzPp4vN3cU02as3SicS2uyU5OLTTaISCIpvqUX7B63obCTv2C -FD/4xsvjy3KDBT9jUpHH6bGHqsRK6WPj8YgtlUiYvLPs1M5VQW4jhztFkHb2 -pC6MFATHJigMUtGws0mHTuI6YaqAqZactPZHH9dw/ZtFjf+i+8XWC8uW5Dwl -7XMIDG34V+ZwZh5vNKhxfa8uYfEizuu6HW+CcS1rzJjPcY8sM9obx4+mVPCv -7Vp/qLJn4FIJqU6Y7rLU8D5ShqS2Vx+LPVajWjNijUdsqSZarVQ961GyyXVc -IM7eBqloxMKIkPFOfzY/UMVs99FjvLnqfy6ILtI/DkBhkJWqNM4mPTqxIpuh -k8YCpl5ysrqf33D+6JqQ6C/aprb/8el//V8zHJqAPoTXQp19fjLcz9Yvy+6y -lZM8defg5uzV40VDe6oy9xy6IzSaniWV270m///svXlYE1f7/1//6lWtT12K -IjS1IAgKgkp9pIalalup8HSh9esG/V20LkXApW4t2uWjjx8XZGux9gsqLoCK -2K+VS5TWokUQUYuKqCiFSGSVJSQQkkkykx8JIYRkZjKTTMjC/frLy5A797nv -9zlz5pyZc0ffFVqCq/fux73tPc1byVTW8BdHuXrNXXdXPSbgu0ruWC9dt7/w -evcC1QUM2o5RguS+CYRB0VovA7PJjJ94lun7yaCADZCchJPi47K0tJPsf3rB -2gsiPj3TaOyTpYDNgFTH+3jEaEtTIctp+/9RyLJHSn5+ux/3LYKLH+80qF/r -WkOenU9MvdmhnCahHRXnLjaon90R3Fjqxs5q0JKp+VxVIeUe+rer1lwR31Ui -U5io8WlLb8k1pOaXD7+kvKZH3zFKkFybQBh6rRFn01g/B1En9ARMagoPpGqf -j9cWzedxdP9H9XOFK0KztG8qgaGM+MkuX/YvWm/D9cjSzn7hlj3JKYk/rNt+ -pm97VtJy7+LegDEjXDdm36gWUr75xrEma8mLdHtp2Asqhg33ivtHPQKJH+/y -nX+Iq/PihXlc7QenPxK5im8K411bPd3BLSgm7khmxvF8joj6ri9dx6hBcm0C -YeizRpxNY/0cRJ3QEzCpKVy672+aEXi6ESX7HyX8619+fPyZYS9bATYKyivc -+vHegfMYzdt546FnDRPc3Ba6swzvYBMrctW8jjGCFUXboly1Fj/lgyFgftGn -c74e0GDd/1EgKI3+8DDZeRHA0ETMzU1KvdLUrwylLBOqmewvFK2JuXkpyb83 -EorUelw1n2PMYT3RthhXrcVP+aAIGKlKCP5qwJvDuv+joOv2hg8OcuDSBOCA -Ia1tvQvccpmgPHvtpBGvvrM/r5xv9PovPWuoqJmH6FnBsAZXzekYs1hDtC3I -VWvxU5+rzDiGVB9csudBN+n/KBDe2fyfnwZ74gUAAAAMQdC2v7bH/q75GIfu -/ygRlsf+J/7JYJ5KDAAAAAxJsM77mcdud6Bk/9OL6NHuRXGP4dIEAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAbSjNH5VCHuK0/RlBx4ITVuQazB/ -yxKw7fbaduvkQ6CBADB4iLm/n63QrQpAjIiTceRvPipHOGkBk4IJDuxkCLzf -wgQVZ3/n2uZbCYMZ28HHtlsnHwINBIDBAuu8m/jV6Tpa50lhsm6Z8lImvLOW -vQKvjiRz4P+WpC77q8S7+AdFWjeDGdvBx7ZbJx8CDQSAQUJSm/7Zf8txyntR -QXh/38rU6sG5f9H+LWH5fz9LN9HpwZjU/Be9wYzt4GPbrZMPgQYCgGkRVe7+ -4H8eiPT/oS5YZ0XWocJWBs//RHnF8VGbE9OPJG6KSrjOG3DkiO5viR78z392 -V5K7jtQXnPj1YRflKw2GNBSlbQh686MiWtXfDATl38nJKm7BKRxDLbY0Wyeq -ObU1PNh/6musWSsyak1+uuUgt06FtDFnyYwwA+pJ0cfYBgIAQIi4am/AR4Ys -imOi2vyzfzX33LagXbVVAiZ6Idp6cbnn+zlNPbZkjWcWeIZdakVJf4tX8GHA -viriMVba9Nv6z9LozF0x8fO6hlsbXCbQrExqON0PksK+udw2IH7UYku3deLa -Uz9dquuJlqz5/JLXnb/QqRVgAgavdX1fazi7ws+OZUitQ4MwvIEAAJCAPj83 -f8a6e7RX9CR1WeFuzm4ePUz19N+uW+TYAGT1GWzHWem95Sel3DQfR/+TinLN -xL8lvLd2xru5LQQT655LXZhvFP1BSvz4v3qrZsuac1fH3GRk/MPaC8JmRxbz -1a2gFlv6rUMlQtVKpbhyx+z5B58SLodaY+tUxnO2JV2Im+mi59pk/gYCAECK -6ME3XjN3E50Qj3bez0mMP5SZdXhf1P9Z8unaYp5xuzBIQ0FKeMCclemH4reE -B7p6hR0tzT24I2aRr8ucjYW8jpJFDvb/KeL3/m3HtaBxjktLSbeSxU/+d+b0 -7x7hr+rJGk4Gui8twR2A0M6KU7GhfoFfx28Ke286y8k3Mqu/6jOlaxNJPfEB -v0MhgFj7H8HuIflttGJrcOvkKP92yvLQJLK1UCttnYR7Oja1ks/52Ufvtcnc -DQQAgBzBjcWTZv6EW/MRbb+6Zd4HB/9R9HtJTfL01945/1znhHm6CMvXuzgE -nWtG5VhLbqAdK+LPdlQurU31mfh+Aedy4FgH9dVIULLIfuy8q6RXCAnnJx/X -cIJHoTpLl7jM/LGG4OYAa7vkP84pRjHfldZnfzLBbt7pRtXiC1PXJsoBFD36 -1svjq3JaE2wDWyfrKDu9a3WQ28jhThF5OqVs+rDK1iFPM2IPV4nkkqfMXJtM -2kAAAMjhFwVP9Pm/tTi7uZ2317q7RffuScjqT8xh+Z9qpLByLm048/mCQC0W -Rhd39E4ruyu2uDstU15/BCWfTpyy/WHP9B17fp7t+O/MJ8WfThgf0nffxL+2 -cLy++yZp7S9vOn98HX8Y4l2dy5p1op7IZ2XR56Qa5WaVoGQx6w31/gvJtam/ -dW+5jx7rzdZq3QCoBxCpTpjhsoy8qYy1TgEmKN3sOj5QezXUmlvXVn0s9liN -8jpCfG2ykAbq6SMAACh69ifOPng7D123IyY6hhYrLxRo869zWf8+/AznCkYX -kmtTBrf2uK+Der/pWfosR3ZmA+nlUMJJ8XEhun4Jroc6+/xMuKmiOb51la2a -7KleG2TmvolGAMWVO7ymRN+ltelncOv6vPvC690LrQSDofW17t79uLe9p3kr -mcoa/uIoV6+56+4SPuxh9gYCAEBOd/kGzzcTqnUfdWvLDxw9yj9TMXUVP/m/ -/o4zkolWWOj9nta1aZvGtakeeZ672DNYseDXMxycC5m2LK+FfBERqdrn47VF -c7dZxruV8//udCiuaEh1vI9HDOGQoRjfpu3/R9Hynkucn99ude1L8eOdDFyb -aARQcGOpGzuL/DLc+6tGtQ4TNT5tQZSXI6Tmlw+/NGZNz/Jap0bKPfRvV6PX -9EzRQAAAKCNryAzwUV4gtJA2nfti2uhXJr276od922dP8NzFQNliDGm8lhww -ZpTPnj85bdX533uMHM3ef4Xbej870ulfEyOy7vCR9sK4NZuT0o8mb42OL2rX -192772+aEXi6UeMC1lEU7uYWXqhcHRE/2eXL/oXo5dye8c3OfuGWPckpiT+s -236m72EBScu9i3sDxoxw3Zh9o1pIeGnUP7hRD6D48S7f+Ye4FO5KjWodxru2 -erqDW1BM3JHMjOP5HBHxCpIVtk7DNUauTaZoIAAA1Omu+No//AZZR+ZfD3Oe -stUiH4XlF30652tiz1Be4daP9xJ8rrkuZFrIA4gJbm4L3VlG//AlaN0gtE5u -sgYCAEBO198bFsYRPUTeQ+etVS6uUXcscTUdqUoI/or8DVIxNzcp9UoTzvxb -Ob7hrWYyDWkAxdy8lOTfGw1cLoXWmR4TNhAAADK6H/xvaFwl3sUJ664tyd7O -Hv2y+3dXeZa3nI5UH1yy54He+zkMaW1DtKa1MkF59tpJI159Z39eOd90LdMb -QFTUzNP2jeZPQOtMxiA0EAAAYmQt+Vu++kPPYwcWB9r21/bY3wm38wEAAAAr -B+24deToXTr1m8wN1nk/89jtDiu7ngIAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAABDDbSjNH5VCHuK0/RlBx4IGXtw30RmAWOAXA8dINeGIOb+ -fraC3utLBnwFoISIk3Hkbz4qRzhpAZOC9RdfNa9ZwBgg10MHyDV9sM67iV+d -rqNz5pcBXwGogsm6ZcprvvDOWvYKgqK9FmMWMAbI9dABck0bSW36Z/8tp3VU -qwFf0QaTwi2XHoT3961MrTa+8sjgmCUBcq0XyPXQwWZybXJElbs/+J8HWvWZ -RJyzu76LTz388+71EV+f1b4/wv2KHKkvOPHrwy590sSQhqK0DUFvflREWpuP -FtLGnCUzwvoq8qD8OzlZxS0k9XIouYp1V51YO2+y3cujnfyijj3pNr7PiWpO -bQ0P9p/6GmvWioxahNRVrLMi61Bhq2GnAaK84viozYnpRxI3RSVc52kc3GSU -2X7MkWs60aPlJ/OJVkFVlpBrbVu4GWEo3ThCYgDbyLVlIa7aG/CR1iKlrD5z -vs/m+4oDvLH2y//x/v9uder7irTpt/WfpVG4amPi53UNtza4TNBTN5YG0oaz -K/zsWJrV4rofJIV9c7kNN1UUXe1+mLDuwI1mRNJ2+8AH9q9476syUsXi2lM/ -XarrMSJrPr/kdecvVLU78FzFRLX5Z/9q7pkSoF21VQKaikNbLy73fD+nqedr -ssYzCzzDLrWiDJhVY5Zc04geTT8ZT3Tfz1OTJeRaB+KMMJBuAiEZh03k2tJA -n5+bP2PdvYHLc1Ju2izHOT9V9aRZWnf07X9/O6DsLc5XeqIW5htFXklUA/Hj -/+qtaU4ZSV3OtqQLcTNdBlQyxdoLwmZHFvN1plBUXZU0XbncqOoSwrvRzo7/ -KeIb5ygqEarWO8SVO2bPP/hUQuCqpC4r3M3ZzaOHqZ7+2+kWbZTVZ7AdZ6U/ -U07aelLp4+h/UlEPnIZZWXPu6pib+DEyU64pR4+un8wnutcsNVlCrnUhy4jR -6SYUkjEOW0uurQvRg2+8Zu7WrhyItl/Z4D124offH9y1YeuxhwOfS9T9iqzh -ZKD70hJNXaCdFadiQ/0Cv47fFPbedJaTb2RWf2Fs2homtibhno5NreRzfvYZ -KIweZfwR7B6S36Zd24emq0o6b0VMeYuw/jcNb5Wf8m+nLA9Nquy/3BO4SgzS -UJASHjBnZfqh+C3hga5eYUdLcw/uiFnk6zJnYyGvo2SRg726O3dcCxrnuLSU -3g4pSUVyM+Za+SnV6Jk30XRlScwQzrUCnYwwlW5dIRnqqhXl2roQ3Fg8aeZP -HN3e2F2xx9991HC7gNhLzVI9X+ksXeIy88eagUawtkv+45xiFPMGaX32JxPs -5p1uVN1tkmlYVJOTnFqkc9eObw15mhF7uEoklzzVEYZc9OhbL4+vyrVmEXRd -VXzKK1wzf2NRB57EaHnbg6yj7PSu1UFuI4c7ReSpS0vhu0qGsHy9i0PQuWZU -jrXkBtqxIv5sR+XS2lSfie8XcC4HjnVQq1ZQssh+7Lyr9OayJOOV2XItpxc9 -cyaavizJGJq57v0UJyNMpBtfSAa5alW5ti74RcETff5vrdamHcI9+tkHPz7q -bPlr9/v2o2d8O2ABT/crvKtzWbNO1GslU1kXO6lGeXMuKFnMekO9tEuiYWl9 -5gKWe2SZziIwjrW26mOxx2oUkxc8YSDVCTNclmlPLOi6Kkd513dvOFyJv0FO -x1uNv8EEpZtdxwfmtmBkrpLRXbHF3an3G4KSTydO2a5YdcWen2c7/jvzSfGn -E8aH9M2v+NcWjqc6v5I2nPl8QaCCt9xHj/VmK/+5MLpYc2wwU65pR898iTZE -lmQM2VzjZ4ShdMt1hWSAq9aWaw20cm2BCEo+cfbRXnPtrtjqPSuhWpEErOOv -zye5Rt4Rkn1FcD3U2edn7YVbzVR2la2a7PndI9UNtCHr0rrW7t2Pe9t7mreS -qazhL45y9Zq77q5aUeLKHV5Tou9qPehOz1Wsuypr7+F79N8wJm57L123v/B6 -90IrRuYqGSQazuDWHvd1UK9LP0uf5cjObKC3P0oylzZPrulHz2yJNkiWZAzN -XBNmhIl09zFQSPRdtbZcWxfd5Rs83+y9DPWDVCf+e+rq3jkA8s/+2b5x/yBk -X0Gq4308YrRzoEjltP3Kb0o4KX5+ux/3rfaKH+80SMP41uSKncFD/3bVmrQI -bix1Y2dpJ4+Oq8iz84mpN3tL56IdFecuNlB+gAvPICZqfNqCKPsBUvPLh1/2 -Lybgu0qGtoa3aWi4Hnmeu9gzWLEwIEebz4VMW5bXQrP8L8l4Za5c042eGROt -hrosyRh6uSbNiLHpJhaSYa6qsIpcWxeyhswAn20PtXYEsa4HaWv+z+r/+THt -4L6vtx55MOCNAZyviJ/s8mVr7yH3pNLOfuGWPckpiT+s236mbx9S0nLv4t6A -MSNcN2bfqBZSDi6BtV5whCF+vMt3/iGuzhsGVF2VteRFur007AUVw4Z7DbhA -0/cW411bPd3BLSgm7khmxvF8jkgdUyJXicCQxmvJAWNG+ez5k9NWnf+9x8jR -7P1XuK33syOd/jUxIusOH2kvjFuzOSn9aPLW6PiidtqTK5Lxyky5ph89syW6 -HxqyJGIo5po0I8amm1hIhrjaj1Xk2srorvjaP/wG1adEib6C8gq3frx34OOL -mrfAxkPPGia4uS10Z1knjvBM7yo9gySuWiYWlWsrSrQcco2DFfVrG8+1BdL1 -94aFcdoPkRvwFTE3Nyn1SlP/xEWZSu3lQoOhY03MzUtJ/r2R8FFgE7tKx6A+ -Vy0TS8m1FSVaDrnGxYr6te3n2uLofvC/oXGVtC5OBF/BkNa23pVcuUxQnr12 -0ohX39mfV843+t6TnjVU1MxD9ExXTOYqPYNUXLVMLCHXVpRoit5aJpaQa7mZ -0z1Ucm1hyFryt3z1B619NQO+AgAAAAB0QDtuHTl6l9YTtAZ8BQAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYBO0ojV8Vwp7iNH3ZgQdCq3zA -3URNsIHIANYLyA8Y2og4GUf+5qNyhJMWMCmY4ABLy8ZETbCByADWC8gPGOJg -sm6Zck4mvLOWveKmNRYsNlETbCAygPUC8gMAJcL7+1amVtM6ItDSMFETBj8y -mBRWcAAVNtAxAYAcrLvqxNp5k+1eHu3kF3XsiWbdZqyzIutQYSvheYxIfcGJ -Xx926RkxRTWntoYH+099jTVrRUYtQycZSxtzlswI6yvygvLv5GQVt+DUd9HX -BFJQXnF81ObE9COJm6ISrvM0zjw0ymw/1AIox5CGorQNQW9+VESr2Bw+uukg -jh4tP0mEZPuuqqAqS0qYXH4AYMl0P0xYd+BGMyJpu33gA/tXvPdVqa4emKg2 -/+xfzZKePtJVWyXQ6QfSpt/Wf5amd+Ymrj3106W6Hpuy5vNLXnf+4u8uPV+g -grTh7Ao/O5ZmAbLuB0lh31xuG+CmviaQg7ZeXO75fk5Tz9dkjWcWeIZdakUZ -MNvfCGoB7Pk98fO6hlsbXCbQLISKB0E68KJH009CIQ0BV/t+nposqWFq+QGA -ZSNpunK5UdUzhXejnR3/U8RX/n9dVribs5tHD1M9/bcPLDQmV/acMN+oUv2V -FFGJULUUJa7cMXv+wafGF2KR1OVsS7oQN9NlQHFMrL0gbHZkMR/r/zPyJuhB -Vp/BdpyV/kw565Vy03wc/U8qikIbabYPygHsRfz4v7SLdOP+LEE6dKJH108i -IQ0JV3vNUpMlRUwsPwCwHNDOilOxoX6BX8dvCntvOsvJNzJrYC1keeetiClv -aRdjxkfWcDLQfWmJ5jBAbh/l305ZHppUKdK1RdNbCfd0bGoln/Ozz8BBoGcU -+CPYPSS/jfIogDQUpIQHzFmZfih+S3igq1fY0dLcgztiFvm6zNlYyOsoWeRg -rx61Oq4FjXNcWsrY1jPdANK+NtFNB0H0aCdaAQ0h2Yyr9GVpTvkBgEWBtV3y -H+cUo5jDSeuzP5lgN+90Y/+KAMYrXDN/Y1EHpaG9s3SJy8wfawZ2aUL7so6y -07tWB7mNHO4UkdeivQghqslJTi3SWfbAt4Y8zYg9XCWSS57qDAJy0aNvvTy+ -KqcxkxSWr3dxCDrXjMqxltxAO1bEn+2oXFqb6jPx/QLO5cCxDurhQFCyyH7s -vKsM7Pf0Qi+A5NcmWgGUE6UDP3p0/ZSTC8lWXTVMluaTHwBYFspSyEk1yuUM -Qcli1hv9uz8o7/ruDYcrqe4K867OZc06Ua/VcUns94AJSje7jg/MbRn4G9L6 -zAUs98gynX0oHGtt1cdij9UoJqp4gwBSnTDDZRmdyWV3xRZ3p95vCEo+nThl -+8Oe2Tn2/Dzb8d+ZT4o/nTA+pG/iyr+2cDzViau04cznCwK1WBhdrDkE0g0g -ybWJTgBJ0oEfPdqJJhWSjbpqqCzNJz8AsCw0u1VX2arJnt89Uq6UYN1VWXsP -36NR3lBwPdTZ52ftvSMi+3103f7C690LrRR/Rtfavftxb3tP81YylTX8xVGu -XnPX3VWPHuLKHV5Tou8KKbeCbHDI4NYe93VQL/g/S5/lyM5sYGzjmW4ADdlv -opcO/OjR85O+kGzBVYNlaT75AYBloehW0/b/o+hWEk6Kn9/ux4q5HvLsfGLq -zQ7lQ0BoR8W5iw36n1pCquN9PGK0+xuefUzU+LQFUY4ASM0vH36pu6ZHz1sV -Uu6hf7tqTVAFN5a6sbPodGDtwWGbxuBQjzzPXewZrFhxkaPN50KmLctrQfVa -pAr1APYifrzToGsT9XTgR4+On4YIyTZcVUNPluaTHwBYFj3dys5+4ZY9ySmJ -P6zbfkaxiytryYt0e2nYCyqGDfeK+4dKNxU/2eXL1t5DxrGP8a6tnu7gFhQT -dyQz43g+R0R9nopjrR+cQUD8eJfv/ENcym+TYEjjteSAMaN89vzJaavO/95j -5Gj2/ivc1vvZkU7/mhiRdYePtBfGrdmclH40eWt0fFE7o7NWqgFUIGm5d3Fv -wJgRrhuzb1QLKY9QtNJBFD2qfhoqJFtwtR8asjSv/ADAotBcjjAWlFe49eO9 -Ax9hZdI+XWuY4Oa20J1lnVazqG5RASSJnun9pGfQilyVW6EsAcAcKLtVQjVT -/VTMzU1KvdLUP09l1j4da2JuXkry743Gvzs1qFhKAPVFz8R+0jFoRa7KrVWW -ADC4yATl2WsnjXj1nf155Xym1gcwpLWtd0uAYfv0rKGiZh5ilVNTSwggleiZ -zE+bdZWitwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAmAG0ozR+VQh7itP0ZQce -CG18d5/ZxpoodEMqIwAAAHiIOBlH/uajcoSTFjApuIBnbn9MCrONNVHohlRG -AAAAcMFk3TLl1Fx4Zy17xU3brtTAbGNNFLohlREA0AGTwmIB0I/w/r6VqRQK -9doEzDbWRKEbUhkBbBqkvuDErw+79F1yMKShKG1D0JsfFTFXMUbamLNkRljf -UWMo/05OVnELyeF3lFzFuqtOrJ032e7l0U5+UceeUC3xQYKo5tTW8GD/qa+x -Zq3IqEUs2VUVdANLCsorjo/anJh+JHFTVMJ1nsbZfVhnRdahwlZj32C1jlgZ -0lhd5RhjTY3JMwIAZkfa9Nv6z9IozLIw8fO6hlsbXCYwUAS877cbzq7ws2Np -HoPZ/SAp7JvLOsXb6Lja/TBh3YEbzYik7faBD+xf8d5XZeTZNOLaUz9dqusx -Ims+v+R1575aP5boat/P0wssOWjrxeWe7+c09XxV1nhmgWfYpdbesRAT1eaf -/atZ0vMnXbVVAkOHQ+uIlUGNJVCOsaEzdUYAwPz0qDzMN2rg8f0kGFIwiBBJ -Xc62pAtxMweWXcPaC8JmRyoqiBroqqTpyuVG1bAlvBvt7KiuYW0oqESoWscU -V+6YPf9gXzUgC3S11yy9wOpBVp/BdlTXDOKm+Tj6n1TUdpDUZYW7Obt59DDV -0397BY3KwppYR6wMbCyBcowMnYkzAgAWgKzhZKD70hLNgQHtrDgVG+oX+HX8 -prD3prOcfCOz+k/8p31tIrYm4Z6OTa3kc3RKgmLtfwS7h+S3aY2hdF1V0nkr -Yspb2gUSDPFW+Sn/dsry0KTK/vp2Fukq3cDK5UhDQUp4wJyV6Yfit4QHunqF -HS3NPbgjZpGvy5yNhbyOkkUO9uoLQce1oHFUa61SwdpiRfsnlJ/qKEcP5swI -AFgCnaVLXGb+WDOwk2Ntl/zHOcUoZo3S+uxPJtjNO92oWh0guzaJanKSU4t0 -Fo3wrSFPM2IPV4lwy1WLHn3r5fFVudasj66rik95hWvmbyzCLTtNy9seZB1l -p3etDnIbOdwpor+eneW5Sj+wCoTl610cghQl67CW3EA7VsSf7ahcWpvqM/H9 -As7lwLEO6rFPULLIfuy8q4ztOFpfrAigqRx9mC8jAGAJ8K7OZc06Ua/VYTSL -0QhKFrPeUK+Tk1ybpPWZC1jukWVd2h/gWGurPhZ7rEYxr8QbFpDqhBkuy7Qn -gnRdlaO867s3HK7E3zKn463G32CC0s2u4wNzWzDLdNWQwCogqQOe+aT40wnj -Q/pm6fxrC8dTnaVLG858viBQi4XRxZpXFeuLFRH0lKMP82UEACwBwfVQZ5+f -n2otjmj2sq6yVZM9v3ukWo0wZL9J19q9+3Fve0/zVjKVNfzFUa5ec9fdVXdk -ceUOrynR2mW06bmKdVdl7T18T0C7zxG3vZeu2194vXuhFbNIVw0KrAKSkTCD -W3vc10G9u/EsfZYjO5NOiXtyrC9W1H+CTDn6MF9GAMASQKrjfTxitHugopdN -26+sSC3hpPj57X7ct3QufrzToGsTvjU5brlqueDGUjd2lnZno+Mq8ux8YurN -DuWzS2hHxbmLDZQf6cIziIkan7b0ltxBan758Mv+lRmLc1UN9cAq0B4Jt2mM -hPXI89zFnsGK5SU52nwuZNqyvBbKFeD1Yn2xovMTxMrRh/kyAgAWgfjJLl+2 -9q5yTy+zs1+4ZU9ySuIP67af6dvUlbTcu7g3YMwI143ZN6qFlDsDgbVecIYF -8eNdvvMPcXXeL6HqqqwlL9LtpWEvqBg23CvuH+pPG+MYxHjXVk93cAuKiTuS -mXE8nyNST30tztV+aAQWQxqvJQeMGeWz509OW3X+9x4jR7P3X+G23s+OdPrX -xIisO3ykvTBuzeak9KPJW6Pji9oZnaJbV6zo/QSxcsgxb0YAwCJAeYVbP947 -8HFTzdUJ46FnDRPc3Ba6s6wTpxeb3lV6Bq3IVTmpt+bFVmLFuM8AMNQRc3OT -Uq809c9clb0soZrJaxNFa2JuXkry742EDweb2FU6Bq3IVbl+b82LTcSKcZ8B -AJBjSGtb77K4XCYoz147acSr7+zPK+cbvVZAzxoqauYheiarJnOVnkErcpWi -t+bFymPFuM8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAoAPaURq/KoQ9xWn6sgMP -hMY+B8CsNVObBcwCiAQAAH2IOBlH/uajcoSTFjApuIBnSdZMbRYwCyASAAD0 -gsm6ZcoppvDOWvaKm0ZWEGDWmqnNAmYBRAIAZgWTWtOygvD+vpWpFKr6msOa -qc2SYF1JtC5sRiQAYG6Q+oITvz7s0jdaYUhDUdqGoDc/KmKuVoy0MWfJjLC+ -o8xQ/p2crOIWOqeYKc+mPrF23mS7l0c7+UUde6JZPAHrrMg6VNhK611IUc2p -reHB/lNfY81akVGr+Za/IdbUoLzi+KjNielHEjdFJVznaZxGaJTZfsyQRPzI -608iJVdJ0mocDEjOakUCAFaEtOm39Z+lUZiPYeLndQ23NrhMYKomu6KczNkV -fnYszWM2ux8khX1zWac4HDHdDxPWHbjRjEjabh/4wP4V731VqqECE9Xmn/2r -WdLT5btqqwTULIprT/10qa7Hgqz5/JLXnftL8BhkTQ3aenG55/s5TT1fkzWe -WeAZdqkVZcCsGrMkkTDypEmk6CqxceNgQnJWKhIAsCZ6+kOYb9TA8gAkGFK/ -iRBJXc62pAtxMweWdcPaC8JmRyrKh1Iz0nTlcqNq2BLejXZ2VNWqltRlhbs5 -u3n0MNXTf3sFxQKmqESoWu0SV+6YPf+gqrCQgdb6kNVnsB3VBXe4aT6O/icV -5RdomJU1566OuYmfJ/MkkSjyCgiTSNVVMuPG+MyE5KxTJABgVcgaTga6Ly3R -VDPaWXEqNtQv8Ov4TWHvTWc5+UZm9VcUoD2sEVuTcE/HplbyOTolR7H2P4Ld -Q/LbtEcKUseUdN6KmPKWdrkF2o4pP+XfTlkemlQpIrEwAKShICU8YM7K9EPx -W8IDXb3CjpbmHtwRs8jXZc7GQl5HySIHe/Xo2nEtaBzVQqVqZHXH3w3Bf0jL -jEnsQyfyBEmk6yq+cUO9ZVhyViUSALAuOkuXuMz8sWZgt8faLvmPc4pRzCOl -9dmfTLCbd7pRtY5ANqyJanKSU4t0lkbwrSFPM2IPV4lwy2GLHn3r5fFVue78 -kMQxxae8wjXzNxZRLi9NaE3WUXZ61+ogt5HDnSKoF4MTlq93cQhS1HvDWnID -7VgRf7ajcmltqs/E9ws4lwPHOqgHGkHJIvux867Su28hGXbMlkT1pziRx08i -XVcJjBvkLbOSszaRAIB1wbs6lzXrRL1W19KsRCMoWcx6Q72iTjKsSeszF7Dc -I8u6tD/AsdZWfSz2WI1iBoo3UCDVCTNcluFNGYkdk6O867s3HK6ks2VOYk2u -qOFTutl1fGBui/FFtDOfFH86YXxI35SYf23heKpTYmnDmc8XBCp4y330WG+2 -8p8Lo4s1h2ozJZE88vhJpOsqeVrNLDm5NYkEAKwLwfVQZ5+fn2otl2j2x66y -VZM9v3ukWrcwZKtC19q9+3Fve0/zVjKVNfzFUa5ec9fdVXd5ceUOrynR2mW6 -yRzDuquy9h6+J6DXF4mb2UvX7S+83r3Qavywk8GtPe7roN5KeJY+y5GdSafc -t5x0SmyeJOqJPH4S6blqWFpxDTIuuT6sRSQAYF0g1fE+HjHafVLRH6ftV1a8 -lnBS/Px2P+5bZBc/3mnQsIZvTY5bDlsuuLHUjZ2F1y3xTSHPziem3uxQPtOE -dlScu9hA7ZEuPGuYqPFpS2/1HqTmlw+/pL5coz3sbNMYduqR57mLPYMVazly -tPlcyLRleS2Ua9r3QjLsmC+JJJHHTyIdVw1NK2nb5UxIzhpFAgBWhvjJLl+2 -9j5zT3+0s1+4ZU9ySuIP67af6dv+lbTcu7g3YMwI143ZN6qFlLsNgbVecAYK -8eNdvvMPcfHeOMExJWvJi3R7adgLKoYN94r7h+IYhmMN411bPd3BLSgm7khm -xvF8jojifBhDGq8lB4wZ5bPnT05bdf73HiNHs/df4bbez450+tfEiKw7fKS9 -MG7N5qT0o8lbo+OL2mk/B0w27JgniaSRJ0oiVVeNSCtx23sxWnLWKRIAsDJQ -XuHWj/cOfDBVcx3DeOhZwwQ3t4XuLOvE7e/mdMySsaIkmt5V2gYHUXIAANBA -zM1NSr3S1D+XVfbHhGomhzWK1sTcvJTk3xuJHhc2n2MWj/Uk0dSu0jQ4qJID -AIAeGNLa1ruALpcJyrPXThrx6jv788r5Rr+CTs8aKmrmIUQrJOZ0zCqwhiSa -2lVmvbVBkQAAAAAAAAAAAAAAAAAAAAAAAAAAAADAIIF2lMavCmFPcZq+7MAD -IWNnzZjIrG0AwYEIAABAioiTceRvPipHOGkBk4IZe3vSRGZtAwgORAAAAHIw -WbdMOW0V3lnLXnGTXmWEQTdrG0BwIAKAbYFJ4ebfVAjv71uZSqF8rWWYJcGK -RDL4wbE0IAKApYLUF5z49WGXvtEEQxqK0jYEvflREVM12eVyaWPOkhlhfYeb -ofw7OVnFLXjnmtFxFeuuOrF23mS7l0c7+UUde0Knbgaz3uIhqjm1NTzYf+pr -rFkrMmo1zxvAOiuyDhW2GvaOJ8orjo/anJh+JHFTVMJ1nsZBeUaZ7cccItGN -lUExJ9GDvuBQazVxTo2ACbGpMbk8AIBxpE2/rf8sjcKsCRM/r2u4tcFlAlM1 -2RWFZ86u8LNjaR682f0gKeybyzrl4ui42v0wYd2BG82IpO32gQ/sX/HeV8XM -aEHTW1zEtad+ulSHKMpnn1/yunN/MSBMVJt/9q9mSc8w0lVbJaA5VKCtF5d7 -vp/T1PM1WeOZBZ5hl1pRBsyqMYtICGJFO+aEetAXHIqtJsypMTAhNjWmlgcA -ME+PasN8owYWDCDBkNI/hEjqcrYlXYibObDQG9ZeEDY7UlFo1EBXJU1XLjeq -Rh/h3WhnR3Wd68H0lgBUIlStdokrd8yef1BVykhSlxXu5uzm0cNUT//tFboF -WEmR1WewHdWlf7hpPo7+JxUFH2iYlTXnro65iR9cM4mEIFZ0Y06kB33Bodxq -Ij+NgBmx9WFieQCACZA1nAx0X1qiqTm0s+JUbKhf4Nfxm8Lem85y8o3M6q8x -QHvYIbYm4Z6OTa3kc3SKkGLtfwS7h+S3afVAuq4q6bwVMeUt7ZIMg+GtHt9Q -/u2U5aFJlSI5RZCGgpTwgDkr0w/FbwkPdPUKO1qae3BHzCJflzkbC3kdJYsc -7NWX4I5rQeOolkxVQ1JewYwiUX6qEyvDYq6Ahh5o641uThkUm1nlAQCmoLN0 -icvMH2sG9lWs7ZL/OKcYxfxMWp/9yQS7eacbVXf7ZMOOqCYnObVIZ8kB3xry -NCP2cJUIt0C26NG3Xh5flWvN4ui6qviUV7hm/sYi3NLUJvaWzDdZR9npXauD -3EYOd4qgXpZOWL7exSFIUXkOa8kNtGNF/NmOyqW1qT4T3y/gXA4c66AebgQl -i+zHzrtK776FZPAxm0jkRLGiH/PeT0n0YGSryXNqerGZUR4AYAp4V+eyZp2o -1+o0mjVrBCWLWW+ol9BJhh1pfeYClntkmc5iO461tupjscdqFJNEvA6IVCfM -cFmmPbGj66oc5V3fveFwJf6TEKb2Vo9vckXVoNLNruMDc1uML+ed+aT40wnj -Q/omxvxrC8dTnRhLG858viBQwVvuo8d6s5X/XBhdrDl+m0kkJLEyKOaketCF -tt5w/DSg1YaKzXzyAABTILge6uzzs/YCuWaX6SpbNdnzu0eqhQpDthJ0rd27 -H/e29zRvJVNZw18c5eo1d91ddc8VV+7wmhKtXbibnqtYd1XW3sP3BLT7EEPe -kvnWR9ftL7zevdBq/LUpg1t73NdBvaHwLH2WIzsTr8A4CSQTY/OIhCxW9GNO -Xw90W43npz4YFJv55AEApgCpjvfxiNHWuqLLTNuvrIEt4aT4+e1+3LeqLn68 -06BhB9+aHLdAtlxwY6kbO0u789BxFXl2PjH1ZofyWSS0o+LcxQbKT+ox5C2R -KUzU+LSlt14QUvPLh19SX9PTHny2aQw+9cjz3MWewYoVHTnafC5k2rK8Fsrl -1nshGXzMJRLiWNGLuWF6oN5qw3PKoNjMJw8AMAniJ7t82dqbwz1dxs5+4ZY9 -ySmJP6zbfqZvv1fScu/i3oAxI1w3Zt+oFlIWN4G1XnA6oPjxLt/5h7g6b3JQ -dVXWkhfp9tKwF1QMG+4V9w/1h8iZ8hbfFMa7tnq6g1tQTNyRzIzj+RwRxQk2 -hjReSw4YM8pnz5+ctur87z1Gjmbvv8JtvZ8d6fSviRFZd/hIe2Hcms1J6UeT -t0bHF7XTfhqYbPAxj0iIY0Uv5obqgWqrDc0pvrV+aIjNvPIAAJOA8gq3frx3 -4OOjmksNxkPPGia4uS10Z1knTgc3vau0DZJ4awLfzIZFiWTQYm5RrZbraTgA -2CBibm5S6pWm/gmissskVDPZASlaE3PzUpJ/byR8xtfErtI0qMdbxn0zJ5Yi -ksGNuaW0Wq6/awCATYIhrW29K+ZymaA8e+2kEa++sz+vnG/0i+L0rKGiZh6i -Z1poMleZ9ZZx38yPJYhk8GNuCa2WU+saAAAAAAAAAAAAAAAAAAAAAAAAAAAA -gI2DdpTGrwphT3GavuzAA+FQ3EWGCABmBOQHAHiIOBlH/uajcoSTFjApeCi+ -NQgRAMwIyA8AcMFk3TLlXE14Zy17xU16FQFsAogAYEZAfsCgg0mt6f5ceH/f -ylQKBVttl8GPgHUpBDAp0AEBI0DqC078+rBL34CCIQ1FaRuC3vyoiKma7HK5 -tDFnyYywvkPDUP6dnKziFryD0kjc6q46sXbeZLuXRzv5RR17olkDAeusyDpU -2Er4YiO1hotqTm0ND/af+hpr1oqMWoaOBGCg4f2gvOL4qM2J6UcSN0UlXOdp -nGKnLwIUMYNC8NOqP1CUXCXRjIHoioQhV0F+wFBF2vTb+s/SKExsMPHzuoZb -G1wmMFWTXVEe5uwKPzuW5oGW3Q+Swr65rFOGjZjuhwnrDtxoRiRttw98YP+K -974qVffFRLX5Z/9qlvT0na7aKoGORYoNF9ee+ulSHaIoS31+yevOA+r1GAwT -DVeDtl5c7vl+TlPPV2WNZxZ4hl1q7R0e9EWAqrPmUAhhWkkDRdFVYuMGQiAS -BlwF+QFDlB5hhflGDTyInwRDSvMQIqnL2ZZ0IW7mwAJqWHtB2OxIRS1Qakaa -rlxuVI0swrvRzo6q2tOSuqxwN2c3jx6mevpvr9AuFUq54ahEqFqiElfumD3/ -oHZFHwNgpOFqZPUZbEd1dR5umo+j/0lFFQV9EaCIeRRClFYFhIGi6iqZccMg -EonRrg55+QFDFVnDyUD3pSWaXQTtrDgVG+oX+HX8prD3prOcfCOz+s/upz3y -EFuTcE/HplbyOTrFPbH2P4LdQ/LbtDsJqWNKOm9FTHlLu6oBMw2Xo/zbKctD -kypFurZM3XA50lCQEh4wZ2X6ofgt4YGuXmFHS3MP7ohZ5OsyZ2Mhr6NkkYO9 -enTtuBY0jmpVUyqYUSF96KSVIFC0c4pr3BhvdUXClKtDVX7AkKWzdInLzB9r -BvZMrO2S/zinGMUUSlqf/ckEu3mnG1U35GQjj6gmJzm1SGdVAN8a8jQj9nCV -CLfwtOjRt14eX5XrTrRIHFN8yitcM39jEbVy0fQaLusoO71rdZDbyOFOEbqV -40zfcLmwfL2LQ5CiOBzWkhtox4r4sx2VS2tTfSa+X8C5HDjWQT0cCEoW2Y+d -d5WxHUGzKUT9KU5a8QNF11UC44Z6iy8SJlwdwvIDhiy8q3NZs07Ua+las6yM -oGQx6w31KjfJyCOtz1zAco8s01kPx7HWVn0s9liNYh6H10eQ6oQZLsvw5l7E -jslR3vXdGw5XUt3VpttwBZigdLPr+MDcloG/MRgNJ6m4nfmk+NMJ40P6Jq78 -awvHU524ShvOfL4gUIuF0cWaQ7WZFEKeVvxA0c4pqWYM8VauKxKGXMWxbICf -1ic/YMgiuB7q7POz9hq2pqq7ylZN9vzukWotwZDdBF1r9+7Hve09zVvJVNbw -F0e5es1dd1fducSVO7ymRGtXwyZzDOuuytp7+J6AuqjpNryXrttfeL17oZXi -zzDYcJLBIYNbe9zXQb3g/yx9liM7E69qt2GYRyF60oofKHqu0teMHoN9DBQJ -E67iW6bvpxXKDxiyINXxPh4x2nJUqHrafmXhagknxc9v9+O+hW/x450GjTz4 -1uS4haflghtL3dhZePrGN4U8O5+YerND+XAQ2lFx7mKD/qeuqDccEzU+bemt -nIPU/PLhl7qLKoPQcO3BYZvG4FCPPM9d7BmsWHGRo83nQqYty2uhXAtdL+ZT -CEla8QNFx1VDNENikFgkxro6xOUHDF3ET3b5srW3gntUbWe/cMue5JTEH9Zt -P9O3JStpuXdxb8CYEa4bs29UCynrj8BaLzh9RPx4l+/8Q1y8ly1wTMla8iLd -Xhr2gophw73i/qEyzFBtOMa7tnq6g1tQTNyRzIzj+RwR9Xk2Uw3HkMZryQFj -Rvns+ZPTVp3/vcfI0ez9V7it97Mjnf41MSLrDh9pL4xbszkp/Wjy1uj4onZG -Z63mUQhpWokCRdVVQzVDaJBYJMa6OuTlBwxdUF7h1o/3DnzCU3M1wHjoWcME -N7eF7izrxO2DTDpmVQ03J1YUKNO7Ss+gWV21EfkBQxkxNzcp9UpT/xxOqeqE -aib7CEVrYm5eSvLvjURP9DLrmBU13MxYUaBM7Codg2Z21XbkBwxlMKS1rXdR -Wy4TlGevnTTi1Xf255Xzjb49p2cNFTXzEKKZG7OOqbCGhlsEVhQok7lKz6BZ -XbU1+QEAAAAAAAAAAAAAAAAAAAAAAAAAAACAyUE7SuNXhbCnOE1fduCBEPbR -gcEGFAgAgA4iTsaRv/moHOGkBUwKLuCZ2x9gqAEKBABAF0zWLVNOVYV31rJX -3ISaCMAgAwoEdMCkcP8MqBDe37cylUJJXOYA+QGaDL4CgUEEqS848evDLn19 -HkMaitI2BL35URFz5VmkjTlLZoT1neuF8u/kZBW34B2lR8dVrLvqxNp5k+1e -Hu3kF3XsCdW6GSSIak5tDQ/2n/oaa9aKjFqEOVdxLDMA3aiSgvKK46M2J6Yf -SdwUlXCdp3FKHtZZkXWosNXYF0XNID98hVis/FSYpLOAAgFLRdr02/rP0ihM -PDDx87qGWxtcJjBVk11RweXsCj87luaZk90PksK+uaxTKY2Oq90PE9YduNGM -SNpuH/jA/hXvfVVGdjhx7amfLtX1GJE1n1/yunNfVR0GXCWwbBw0o0oO2npx -uef7OU09X5U1nlngGXaptXdswES1+Wf/apb0/ElXbZXA0OHBLPIjVoglyq/v -503SWUCBgIXSk/gw36iBZ+WTYEh1HkIkdTnbki7EzRxY4wxrLwibHako12mg -q5KmK5cbVcOB8G60s6O6YLShoBKhaiFJXLlj9vyDfXV3jHaV0LIR0IyqHmT1 -GWxHdXUebpqPo/9JRRUFSV1WuJuzm0cPUz39t1fgFEulgnnkR6YQC5Rfr1nT -dJYhr0DAUpE1nAx0X1qiKWG0s+JUbKhf4Nfxm8Lem85y8o3M6j9en/bgQGxN -wj0dm1rJ5+jU38Ta/wh2D8lv0xIxXVeVdN6KmPKWdikCQ7xVfsq/nbI8NKmy -v94bU67qWjbUT7pRlcuRhoKU8IA5K9MPxW8JD3T1CjtamntwR8wiX5c5Gwt5 -HSWLHOzVo2vHtaBxVKuaUsGM8utDRyEWKT+Td5ahqkDAYuksXeIy88eagZ0H -a7vkP84pRjHFkdZnfzLBbt7pRtUNM9ngIKrJSU4t0rlrx7eGPM2IPVwlwq0N -LXr0rZfHV+VaEyG6rio+5RWumb+xCLfGMy1ve5B1lJ3etTrIbeRwp4j++m5M -uIpveZCiqkBYvt7FIUhRHA5ryQ20Y0X82Y7KpbWpPhPfL+BcDhzroB4LBCWL -7MfOu8rYdqPZ5Kf+FEchlic/U3eWIaxAwGLhXZ3LmnWiXkt3mpVfBCWLWW+o -V6FJBgdpfeYClntkmc56NY61tupjscdqFPMsPA0j1QkzXJZpz43ouipHedd3 -bzhcib8VTcdbjb/BBKWbXccH5rZgjLqKY9kAPw2JqgKSituZT4o/nTA+pG/W -yr+2cDzVWau04cznCwK1WBhdrDlUm0l+5AqxNPkNSmeRD1EFAhaL4Hqos8/P -2mvMmqrrKls12fO7R6p7fUMW/HWt3bsf97b3NG8lU1nDXxzl6jV33V21+MWV -O7ymRGsXrKbnKtZdlbX38D0BbRkSt72XrttfeL17oRVjzlV8y/T9NCiqCkhG -hgxu7XFfB/Vq/7P0WY7sTLyq3YZhHvnpUYiFyW8QOksfQ1CBgMWCVMf7eMRo -y0Whumn7lWWqJZwUP7/dj/sWpsWPdxo0OOBbk+PWhpYLbix1Y2dp64+Oq8iz -84mpNzuUj/OgHRXnLjZQflQKzyAmanza0lvfBqn55cMv+9c9jHWV2LIhfqqh -HlUF2iPDNo2RoR55nrvYM1ix3CJHm8+FTFuW10K51rpezCc/EoVYnPzUmKKz -DHEFApaL+MkuX7b2bm2P6uzsF27Zk5yS+MO67Wf6tkwlLfcu7g0YM8J1Y/aN -aiFlfRBY6wVHw+LHu3znH+LqvAxB1VVZS16k20vDXlAxbLhX3D/Un+LFMYjx -rq2e7uAWFBN3JDPjeD5HpJ5YGusqsWVD/OyHRlQxpPFacsCYUT57/uS0Ved/ -7zFyNHv/FW7r/exIp39NjMi6w0faC+PWbE5KP5q8NTq+qJ3RKat55EeqEIuT -Xz8m6CxDXoGA5YLyCrd+vHfgE5iad+vGQ88aJri5LXRnWSdOHzG9q/QMmtVV -xqJqXqwoUJYmPzkoELB1xNzcpNQrTf1zLKXqEqqZ1DBFa2JuXkry742ED92a -2FU6Bs3sKpNRNS9WFCgLkp/c7N7ajgIBSwZDWtt6F53lMkF59tpJI159Z39e -Od/o22d61lBRMw/RM7Mymav0DJrVVeajal6sKFAWIj9ze2trCgQAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAOdpRGr8qhD3FafqyAw+EsM8NWCKgUgAYYog4GUf+ -5qNyhJMWMCm4gGdufwBAF1ApAAw1MFm3TDkNFd5Zy15xE2oWABYIqHSIgUnh -3hhQIby/b2Uqhaq1AGA+QKVWC1JfcOLXh136LjkY0lCUtiHozY+KGCifIqo5 -tTU82H/qa6xZKzJqFS+Xo/w7OVnFLTrnbdH0E+uuOrF23mS7l0c7+UUde4Jf -o8AQpI05S2aE9R0RxpC3OHEwg6ukoLzi+KjNielHEjdFJVznaRxkh3VWZB0q -bDXuRU5q+TJT6kGlvQx5lQLmQNr02/rP0ihMKjDx87qGWxtcJjBQk11ce+qn -S3U9Gpc1n1/yunNfHZnuB0lh31zWKWNGx8/uhwnrDtxoRiRttw98YP+K974q -ZnqStOHsCj87lubxlQx4SxCHQXWVHLT14nLP93Oaer4qazyzwDPsUmtvv8dE -tfln/2qW9PxJV22VwNCuTyVf5ko9qLQXUClgBnqSGuYbNfAsexIMKaCD+7MS -oWplUFy5Y/b8g32VZrD2grDZkYpamgb6KWm6crlR1c+Fd6OdHdXVnI1CUpez -LelC3MyB5dKM9pYwDoPnqh5k9RlsR3X1HG6aj6P/SUWVA0ldVribs5tHD1M9 -/bdX4BQzVZtozl0dc5MgFhTyZb7Ug0pVfzgEVApYGrKGk4HuS0s05Yl2VpyK -DfUL/Dp+U9h701lOvpFZ/cff0742kVrruY+/nbI8NKmyv8IZ1v5HsHtIfpuW -Oun6qaTzVsSUt7TrBBjiqoR7Oja1ks/RKeXJlLe6cRgsV+VypKEgJTxgzsr0 -Q/FbwgNdvcKOluYe3BGzyNdlzsZCXkfJIgd79cjZcS1oHNWqo/3RqDv+bgiV -Z6Tw82Xe1Cs/BZUSxGGwXB0ElQKWRmfpEpeZP9YM7BhY2yX/cU4xiumLtD77 -kwl28043qm6Gya5Nopqc5NQinTtyQmuyjrLTu1YHuY0c7hTRX9FM9OhbL4+v -yrVmOHT9VHzKK1wzf2MRbgFmWq4iTzNiD1eJcMtMM+EtfhwGyVUFwvL1Lg5B -iuJtWEtuoB0r4s92VC6tTfWZ+H4B53LgWAd1PxeULLIfO+8qvdtmitcmonyZ -M/VyUOlQUSlgafCuzmXNOlGvpSnNyiyCksWsN9QrzCTXJml95gKWe2SZzlo0 -sTUFmKB0s+v4wNwWVe9EqhNmuCzTnvTQ9VOO8q7v3nC4En+PmY6rbdXHYo/V -KKZ7eF2JIW9x4jBIriogqYid+aT40wnjQ/pmpPxrC8dTnZFKG858viBQwVvu -o8d6s5X/XBhdjDsMk+TLfKkHlQ4llWpAqFJgEBFcD3X2+Vl7/VhTUV1lqyZ7 -fvdIdR9vyH4TsbVeum5/4fXuhVaVGMSVO7ymRGtXk6bnJ9ZdlbX38D0BbX3p -Grx3P+5t72neSqayhr84ytVr7rq76j7IhLf4cRgkVxWQ9PoMbu1xXwf1Sv6z -9FmO7Ey8qtok6L9vIs2X2VIPKh1KKgUsDaQ63scjRlsKCkVN26+sJC3hpPj5 -7X7ct+gsfrzToGuTtjVM1Pi0pbeiC1Lzy4df9q8SCG4sdWNnaQuLjp/Is/OJ -qTc7lM/poB0V5y42UH4Girjhctwy00Z7SxyHQXJVgXav36bR6+uR57mLPYMV -SylytPlcyLRleS2Uy6H3ou/apCdfZkw9qHToqBSwOMRPdvmytXdiexRlZ79w -y57klMQf1m0/07cdKmm5d3FvwJgRrhuzb1QLKecexxrGu7Z6uoNbUEzckcyM -4/kckXoaJn68y3f+Ia7OWw5U/ZS15EW6vTTsBRXDhnvF/UP98VyChveC05WM -9ZY4DoPmKoY0XksOGDPKZ8+fnLbq/O89Ro5m77/Cbb2fHen0r4kRWXf4SHth -3JrNSelHk7dGxxe1056Okl6bKOTLbKkHlQ4hlQKWB8or3Prx3oFPV2reiRsP -DWuY4Oa20J1lnTjiN72ftA2a1VvGXLV8LC31oFLKDCGVAqZAzM1NSr3S1D9/ -UioqoZpJfVKxJubmpST/3kj4NK2J/aRp0MzeMumq5WNBqQeV0mBoqRQwBRjS -2ta7oCyXCcqz104a8eo7+/PK+UbfGtOwhoqaeYieKZPJ/KRt0KzeMu+q5WMh -qQeVmtFVAAAAAAAAAAAAAAAAAAAAAAAAAAAA2wHtKI1fFcKe4jR92YEHQmO3 -S5m1ZmqztgFkEBhMQCHAoCDiZBz5m4/KEU5awKRgKgdaD541U5u1DSCDwGAC -CgEGB0zWLVPOUYR31rJX3DTy6HtmrZnarG0AGQQGE1AIMLgI7+9bmUqhPq85 -rJnaLAmY1GoWFyCDuFhRBq0Lm1HIEAapLzjx68Mu8h6CdVedWDtvst3Lo538 -oo49wT/XnxaimlNbw4P9p77GmrUio1bx7jjKv5OTVdyic5xWz693VmQdKmw1 -5H1AaWPOkhlhA0uYGW5NcdJLcXzU5sT0I4mbohKu8zTOFTTKbD+U0qF4Z7Kh -KG1D0JsfFTFQqYZOLsh8IhYJZFAHJjOIH3n9SbSCvk8Bq1MIQAVp02/rP0vT -Ow3ofpiw7sCNZkTSdvvAB/aveO+rMvJYE3HtqZ8u1SGKmt3nl7zu3FcmpvtB -Utg3lwdWKcNEtfln/2qW9Gimq7ZKQEsX0oazK/zsWBpHShpjTVnIernn+zlN -PV+TNZ5Z4Bl2qRVlwGy/v9TS0fN74ud1Dbc2uEygeSw8HjRyQQqhSCCDODCZ -QeLuSZZEK+j7VLA2hQCU6ElDmG/UwHPq8ZA0XbncqFKk8G60s6O6ArLBvywR -qtYyxJU7Zs8/2FdIBmsvCJsdqSiV2ffTdVnhbs5uHj1M9fTfXoFTE5PY7bqc -bUkX4mb2lzAzxloPsvoMtqO6Ugw3zcfR/6TiRH8jzfZBNR0qDCmnhfuzVHNB -DpFIbC2Dsubc1TE38ZNkngySdU/CJFpB36eCtSkEoIas4WSg+9ISzSCinRWn -YkP9Ar+O3xT23nSWk29k1sCj7eWdtyKmvKV9tj4x5AZR/u2U5aFJlf0FzLD2 -P4LdQ/LbqAqU2L6Eezo2tZLP0S2vSQLSUJASHjBnZfqh+C3hga5eYUdLcw/u -iFnk6zJnYyGvo2SRg726b3ZcCxpHtcImFeimg/bIxlQumBWJtWWQpOqHmTOo -QCfyBEm0pr5vQwoBKNJZusRl5o81A6WGtV3yH+cUo5i+SOuzP5lgN+90Y//t -K8YrXDN/YxFu0WJRTU5yapHOTTmhQVlH2eldq4PcRg53iugvWCZ69K2Xx1fl -1Gc7+PaRpxmxh6tEuKWfSRGWr3dxCFIUKsNacgPtWBF/tqNyaW2qz8T3CziX -A8c6qJUqKFlkP3beVQb2e3qhmw6ykc3EuTBcJHhYVwZJRh5zZrD3U5zI4yfR -uvq+zSgEoAjv6lzWrBP1WoLSrLoiKFnMeqNvQVixSXh994bDlfi7odL6zAUs -98iyLu0PSAzKFWVbSje7jg/MbVEZRaoTZrgsozNTwbHfVn0s9liNYm5FW7ck -1Z8znxR/OmF8SN+cin9t4Xiqcyppw5nPFwRqsTC6WLOj000Hychm8lwYKhJ8 -rCuDb7mPHuvNtsAM4kceP4lW1vdtRSEARQTXQ519fn6qdYuuKYOuslWTPb97 -pLztxrqrsvYeviegHWkig3103f7C690LrSq74sodXlOitYtF07N/737c297T -vJVMZQ1/cZSr19x1d3U6Di4kus3g1h73dVCvRT9Ln+XIzsSrIG0Y9NJh2G4F -U7lgViRWlUGSWbE5M0gYefwkWlnftxWFABRBquN9PGK0paCQwbT9yirREk6K -n9/ux4q5CfLsfGLqzQ7lEytoR8W5iw2Un9bBM4iJGp+29BZsQWp++fDL/vt6 -wY2lbuwsOmrAd1gFTulncrR1u01Dt/XI89zFnsGKxQA52nwuZNqyvBbK1en1 -QicdCsSPdxo0sjGRC2ZFYlUZJBl5zJVB0sjjJ9HK+r6tKASgivjJLl+29t5m -jwzs7Bdu2ZOckvjDuu1nFLuOspa8SLeXhr2gYthwr7h/qD9IimMQ411bPd3B -LSgm7khmxvF8jkg9IRM/3uU7/xCXzosOOPb7oadbDGm8lhwwZpTPnj85bdX5 -33uMHM3ef4Xbej870ulfEyOy7vCR9sK4NZuT0o8mb42OL2pn9EFSqulQIGm5 -d3FvwJgRrhuzb1QLKXcepnLBrEisKoNkI495MkgaeaIkWlfftxmFAFRBeYVb -P9478HlIzdtnRqBhEBPc3Ba6s6yT1toB4w6bDdOng6lcmM0rC8eiMignTaJV -9X3bUQhAHTE3Nyn1SlP//Ekpg4RqhvVJxaCYm5eS/Hsj1UdUadu3BkycDqZy -YSavrAFLyaBcf4eynr5vUwoBqIMhrW29679ymaA8e+2kEa++sz+vnM/EghUN -g6iomYfQ3W1l3GHzY7J0MJULs3llLVhCBuXUOpQ19H0bVAgAAAAAAAAAAAAA -AAAAAAAAAAAAAIAtg3aUxq8KYU9xmr7swAMhY4ebmMiszcBsfGwpiZYcGVuK -MwBYNiJOxpG/+agc4aQFTApm7HU9E5m1GZiNjy0l0ZIjY0txBgALB5N1y5QT -NeGdtewVN5kqt2EiszYDs/GxpSRacmRsKc6ACcCkcNPLPML7+1amUiiWahlm -SbAueTAbH5tJIuM/asnWTG0WMAKkvuDErw+79I0pGNJQlLYh6M2PihgoWCSq -ObU1PNh/6musWSsyahVve6P8OzlZxS0k5+hR8hPrrjqxdt5ku5dHO/lFHXtC -p1ADg66SIG3MWTIjbMDZX1hnRdahwlbDXipEecXxUZsT048kbopKuM7TOJbN -KLP9mEEe+Ek0LOy66VP/iuHxsbok4kDSUwz5UYgzwDDSpt/Wf5ZGYbaAiZ/X -Ndza4DKBgSLg4tpTP12qQxTFi88ved25r6RL94OksG8u69Qno+Nn98OEdQdu -NCOSttsHPrB/xXtflZGnnBjgKhnShrMr/OxYGudSYqLa/LN/NUt6Ok5XbZWA -pkW09eJyz/dzmnq+Jms8s8Az7FIryoDZfn/NIQ/iJNIOO0H6jIuPtSURF8Ig -G/SjEGeAYXqyFeYbRflweUPKzeD+rESoWvoRV+6YPf9gXxUZrL0gbHakoril -gX5Kmq5cblT1MeHdaGdHdW3lQXOV1L26nG1JF+Jm9tdBk9Rlhbs5u3n0MNXT -f3sF9Wq/SmT1GWxHda0ZbpqPo/9JRYUBI832YR55kCWRbtgJ0mdMfCwxibLm -3NUxN6nXiCAOsoFtgTgDzCJrOBnovrREM9ZoZ8Wp2FC/wK/jN4W9N53l5BuZ -1X8ePe3Bh9SaHOXfTlkemlTZX2wMa/8j2D0kv01r6KHrp5LOWxFT3tKuAWBy -V0nsSLinY1Mr+RxaNTqRhoKU8IA5K9MPxW8JD3T1CjtamntwR8wiX5c5Gwt5 -HSWLHOzVQ3fHtaBxVGt0UsHM8lCgk0T6YVd+qpM+Qx2zzCSSFWVgtqdAnKH4 -xaDQWbrEZeaPNQNFibVd8h/nFKOYm0rrsz+ZYDfvdKPqLpds8BHV5CSnFuks -txBak3WUnd61Osht5HCniP7iYqJH33p5fFWuNXWh66fiU17hmvkbi3DLIZvS -VUI7yNOM2MNVIvr1o4Xl610cghSlzrCW3EA7VsSf7ahcWpvqM/H9As7lwLEO -6g4mKFlkP3beVQa2A3sxpzx6P8VJIs2wy4nSpwfrSiL5mGl4T6FlbcjHGWAQ -3tW5rFkn6rVkpFkqRVCymPWGevWYZPCR1mcuYLlHlunURCa2pgATlG52HR+Y -26LqGUh1wgyXZdqzGbp+ylHe9d0bDlfiPwlhUlcJ7LRVH4s9VqOYEtLubiT1 -ozOfFH86YXxI31SQf23heKpTQWnDmc8XBGqxMLpYc4gyszzwk0gr7CTp04d1 -JfEt99Fjvdl4SSRoC6Wegg/EmSjOAHMIroc6+/z8VOtmXlMtXWWrJnt+90h1 -j27IhgKxtV66bn/h9e6FVlWWxZU7vKZEa1eKpucn1l2VtffwPQFt4TDhKr6d -e/fj3vae5q1kKmv4i6Ncveauu6szUONC0t0yuLXHfR3US+jP0mc5sjPpVLMn -x5zyIEwinbCTpY++YxacRD3zeWZ7CsSZ1ncAg0Cq4308YrT7uUIt0/Yr6y5L -OCl+frsf9y0oix/vNGjw0baGiRqftvRWa0Fqfvnwy/4VAMGNpW7sLG3F0PET -eXY+MfVmh/IBHLSj4tzFBspP6jHhKrFjKujVj5brdrdtGt2tHnmeu9gzWLGG -IUebz4VMW5bXQrm4t17MJQ/SJNILO3H6DHNMhaUlkcK1ibmeAnGm9yXAIMRP -dvmytXdBe9RiZ79wy57klMQf1m0/07fVKWm5d3FvwJgRrhuzb1QLKScVxxrG -u7Z6uoNbUEzckcyM4/kckXqKJX68y3f+Ia7OKyxU/ZS15EW6vTTsBRXDhnvF -/UP9IXJGXMW30w+97oYhjdeSA8aM8tnzJ6etOv97j5Gj2fuvcFvvZ0c6/Wti -RNYdPtJeGLdmc1L60eSt0fFF7Yw+/2oeeZAmkV7YidNniGP9WFoS9V+bGOwp -EGe6XwMMAeUVbv1478DHJjXvso2HhjVMcHNb6M6yThxhm95PegZJXDWBY2bD -ouQhH9Sw204SLTsythRngGHE3Nyk1CtN/ZNjpVoSqpnUHhVrYm5eSvLvjYRP -sprYTzoG9bjKuGPmxFLkIR/ksNtSEi05MrYUZ4B5MKS1rXexWC4TlGevnTTi -1Xf255XzjV4gomENFTXzED1LASbzk0FXGXfM/FiCPOSDGnZbSqIlR8aW4gwA -AAAAAAAAAAAAAAAAAAAAAAAAAGB60I7S+FUh7ClO05cdeCC0yrNFbKAJtgez -SYEUkwPxAWwOESfjyN98VI5w0gImBVvl23I20ATbg9mkQIrJgfgAtgcm65Yp -p1nCO2vZK24yVjZiELGBJtgezCYFUkwOxAegAya1pltr4f19K1MplG21YAa/ -CdaVYrPAbFIgxeTYQC8GDAKpLzjx68MufWLFkIaitA1Bb35UZHyBIKy76sTa -eZPtXh7t5Bd17InqhH6Ufycnq7gF76w0uqZ6P+qsyDpU2Er4Th+1hotqTm0N -D/af+hpr1oqMWobeX5c25iyZEdZ3UBhxw/U1gSJmSDFO3PTnl5KfJBk3DlMm -hVhFVpxiFVTjRuaWiXux2TUD0Efa9Nv6z9IozEkw8fO6hlsbXCYwUJO9+2HC -ugM3mhFJ2+0DH9i/4r2vqq+zdj9ICvvmsk4JOgNMYaLa/LN/NUt6BNNVWyXQ -sUix4eLaUz9dqkMU5ZjPL3ndeUCpGoORNpxd4WfH0jzEEq/h+ppA9dfMkWKC -uJHll6KfxOIxDlMmhVBF1pzivt+mFjdSTN2LzawZwADQ1othvlGUz6A3pEAP -DpKmK5cbVeIQ3o12dlQXSlbU3C4Imx2pKINplClJXVa4m7ObRw9TPf23V2iX -SaXccFQiVC1/iCt3zJ5/ULuakQFI6nK2JV2ImzmwaJpOw/U1QQNZc+7qmJv4 -jTFPignjRphfqn6SiccImE+KJgTRsO4UK6EYNz1GTNyLzasZwBBkDScD3ZeW -aOYW7aw4FRvqF/h1/Kaw96aznHwjs/qPraetalJrSjpvRUx5S7MMA9b+R7B7 -SH6bdmoNMEUM3Yb33KzfTlkemlQp0rVFs+ES7unY1Eo+R6egJ1HDqTSH+Oh+ -M6dYN24EzaSdEQU0Mk5ukLGkMKsiDSwzxbTjZt5eTNM+w20H6NBZusRl5o81 -A/OEtV3yH+cUo7jwS+uzP5lgN+90o+oOlUzVopqc5NQinXtZEmuKT3mFa+Zv -LBpQ21j06Fsvj6/KdeeQ9E0x1HBZR9npXauD3EYOd4rQLZpGq+HI04zYw1Ui -3GLThA3XC8nAZc4U48cNv5l0/ZSTZ9x8STFQRfqwxBQbFDez9WK99i2gIwNq -eFfnsmadqNfKhmZFFUHJYtYb6uVxElVL6zMXsNwjy3S2Y4ityVHe9d0bDldq -bUwi1QkzXHpLVxprirGGK8AEpZtdxwfmtgz8DToNb6s+FnusRjHtwpM0ccMJ -kDac+XxBoIK33EeP9WYr/7kwuliz55k5xXLduOE3k3ZGSDNuxqQYpiIiLDjF -hsbNjL3YYjUD6CC4Hurs87P2FopmLrrKVk32/O6RahHCkJVqImtYd1XW3sP3 -BDo6EVfu8JoSrV0J3CBThNBteC9dt7/wevdCK8Wf0bV2737c297TvJVMZQ1/ -cZSr19x1d9V9gbjh+iCZVJszxX0MjBt+M+n5ST/jhAYZTwqzKurD4lJscNzM -1YstWTOADkh1vI9HjHYQFbmYtl9ZoVnCSfHz2/24b8VW/HinQarWtYY8O5+Y -erNDWbob7ag4d7FB/eCM4MZSN3ZWA86iB21TDDQcEzU+bemtGoTU/PLhl9RX -Y4jDKMcvNk3ccH2QDFzmSjFx3PCbScdPQzKut+FyppLCrIr6sMAUq6EXN3P0 -YkvXDKCL+MkuX7b2xmBPLuzsF27Zk5yS+MO67Wf69hIlLfcu7g0YM8J1Y/aN -aiFK9SdwrMla8iLdXhr2gophw73i/lErRfx4l+/8Q1y8VwTommKg4Rjv2urp -Dm5BMXFHMjOO53NE1GddBGHsBUfSJA3XB8nAZaYUE8eNqJlU/TQ046QN74WZ -pDCroj4sL8X90IubGXqxxWsGwAHlFW79eO/AhzM172GNh541THBzW+jOsk7c -zsukY1bVcKOwqJaSNNP0ftI2aFBSGPdZPxaVYrlN9WLaBk3XkYcgYm5uUuqV -pv7JhzIXCdVMqpqiNTE3LyX590ai5zuZdcyKGm4sltJSfc00sZ80DRqYFMZ9 -poSlpFhuY72YpkETd+QhCIa0tvWuhstlgvLstZNGvPrO/rxyvtErpvSsoaJm -HkI032DWMRXW0HBmsISWUmmmyfykbdCgpJhEpRSxhBTLbaoX0zY4CB0ZAAAA -AAAAAAAAAAAAAAAAAAAAAIDBBu0ojV8Vwp7iNH3ZgQdC2BEEBgkQHjkQH2Bo -I+JkHPmbj8oRTlrApGCC1wQBgGlAeORAfIAhDibrlinnZMI7a9krbsJJh8Dg -AMIjB+IDAEqE9/etTKVQgpM5MCmsUwAgPD0MfnwAYLAR1ZzaGh7sP/U11qwV -GbWaL0xjnRVZhwpbjX3rDakvOPHrwy59PR9DGorSNgS9+VERUwWm5XJpY86S -GWF9B2Sh/Ds5WcUtJGdjUXIV6646sXbeZLuXRzv5RR17QrUIAAm6KbBYV1XQ -DSweIDxyt4hzpy8+tiZjEqkYARMaBkyIuPbUT5fqEEWd6PNLXnfuL4+CiWrz -z/7VLOnJWldtlcDQcULa9Nv6z9IoTPAw8fO6hlsbXCYwVWBaUS/n7Ao/O5bm -4Y3dD5LCvrmsU3KMjqvdDxPWHbjRjEjabh/4wP4V731VRvYVghRYoqt9P08v -sLiA8MghzJ2++NiejAmlYgxM5AgwKahEqFrLEFfumD3/oKqAiqQuK9zN2c2j -h6me/tsrDCz7iLZeDPONGnjoPAmGFKMhRFKXsy3pQtzMgcXCsPaCsNmRirqX -BroqabpyuVHVjYV3o50d/1PEN85RghRYoqu9ZukFlgAQHrkRgtzpi48NypjQ -shEwo2GAGdDOilOxoX6BX8dvCntvOsvJNzJL44B4lH87ZXloUqWIxAJ9ZA0n -A92Xlmiqj9QN2kMEsTUJ93RsaiWfo1PIEmv/I9g9JL9NS390XVXSeStiylva -x/ob4q3yU50UWKSrdAMLwlNhWHwU0MidLcuYrlQYzBFgYrC2S/7jnGIU0wJp -ffYnE+zmnW5U3r/KOspO71od5DZyuFME/UJpJHSWLnGZ+WPNQNETukE+RIhq -cpJTi3RuuPGtIU8zYg9XiXCLLIsefevl8VW51oSTrquKT3mFa+ZvLOrAEzIt -b+VEKbA8V+kHln6rGcCKhEfumJw8d0Y3XI99y5ExuVRMnyPAtGjWLhGULGa9 -MWDlFhOUbnYdH5jbQm3SIG048/mCQC0WRhdrapx3dS5r1ol6LckQu0EyREjr -Mxew3CPLdJaacay1VR+LPVajmCLhyQ+pTpjhsqxU6+lbuq7KUd713RsOV+Jv -IdPxliQFluaqIYGl32o92JjwyB0jz50utixjHMsG+GlgjqioDjAczUx1la2a -7PndowH3x123v/B690Irc9EWXA919vlZe3mY2A1Dlv11rd27H/e29zRvJVNZ -w18c5eo1d91dtW7FlTu8pkRrF3+m5yrWXZW19/A9Ae1Q0UuBhblqUGDpt5oB -rEh4ZI7Rz53NyhjfMn0/Dc4RYFIUmZq2X1nAWMJJ8fPb/Vgsx0SNT1t6q5Qg -Nb98+CWjSytIdbyPR4x2pvHc6EX8eKdBQwS+NTlukWW54MZSN3ZWg1Yz6biK -/P/svXtcFPXb/59/9UjrU2bkgbYCQUAQVPIjxim1koROlHeo0O9heYg4GHkq -tD7dent7QE6F2Q0eUmFVxL4mD1HKsBBE0FARFSVAEBaQw7ILy+7s7sz+2GV3 -2cPM7MwemFm4nn/5ALn2db2v13vmPe+ZnevhmdTMih5VD2y0p/r0OR7lR5zo -lYB1UrVQH1j6WVsBOzIecShzajcibWy+VaxYI8CmDFTKYdLijTvTM1K/W7vl -pPLGIMa/tGbmFLeQuKSDOdlHChvE1r1Eldzf7udveJcVR4YSacfNc7uCnh3n -ui73Sp0ItSCpIXDsJ7m33W/h/iaj7zFQlSrvKIh2e2LMY2rGjPVO+of607e0 -SsA6qUPQGFi6WVsFOzIefihzazcCbWyBVaxYI8Cm6F7hDhMov3jT+7v0n3S1 -rgx60TBhxebwbZW9OPa2vVR6Ae1IqoJULRhPMYzjwzZvMGpjK9YIsCmqSqXU -DechYgBJU35a5sW2oeWRdWXQiSZpKshI/62V8GFZG0ulE9COpCpMqgXjDev4 -sMgbDNvYmgcHwGbIhVW58VPHPff6noIqwTDvp2JIZ9fgfrGVZdCLhorb+YiJ -RZHNpNILaEdSTakF4zEwPizxBqM2tv7BAQAAAAAAAAAAAAAAAAAAAAAAAAAA -wGqgPeXJq8P8PZxmLtt7WwR3K4FhwrrGAxsDwMhC3JB98G8BqkAasoKmhhbx -mdYDjBKsazywMQCMMDB5v1y1yhRdj/dfWYHzpkwAsAHWNR7YGADogMnsZnNB -dGv3qkwKbUwB1mNHrlNY23hgY2C0grQUHf3lTp+pyY8hvJKshJBX3iuxQq9P -cf3xTVGhgdNf4MxZmd2o/BI2Kriexy3toPdeKqy/9mj8gmkOT453Cog5fF/3 -tf1YbzV3f3En4RfoKGVNEt8yZK15EbMiNS/mMp07tRoZjyoDUinChOvUWCEj -C4yHB3HhrGJjuzIGAAwia/v1i4+zKKzKMMmjZt7VBJfJVuhDLWk8/sP55oEp -Im8/E/Gis6bfSv/ttMivLxi1+yKm/07K2r1X2hFp17W970x62md3rXraYeLG -wlN/tUsHpkxfY63QKCLFrAnjW4iMd2plgANH96WRZLlTVEswqsMqlWpUJlyn -+WwrZGS28XAhLJyVbGxHxgAANWjnuUi/GP13vpNgTs8a3I+VitR7NJKarXMX -7tN0ZMG6iyLnRit7TlJC2nbxQqv6oCC6Eevs+HaJQPXzZm6Um7Ob5wDTvQK3 -VBu2pKSaNVF8C5E2521OO5s0W79JGWHulGtENKrDJ1UHeXv+mrgKfNEMuU6F -+RnpBjHTeAQQFM5aNmaXMQCACnLesWD3pWW67kZ7q48nhgcEf5W8PvLNmRwn -v2ju0GviaR8lSKMpUMG1jOXhaTVDncCw7t9D3cMKuwzNTR5HSe/VFR7zDN+e -b52s6cYnDyhtOpGYWSNoMGqgSZA7bbXGozpcUvVkNx95Iwz/2TIGXUc7I+sa -w6qFs1NjAAAVessjXGZ/X68/r7Cu84HPO8UpVz+yltwPJjssONGqvkwnO0qI -6/PSM0uMLugJo8l7Kk9sXxPi9tRYpxVDnb/Ed7/x9vyyynjBSaJK+Vt+8ecL -15VQ63ZMN2sT8WkljjzITjxQK8Zt7oyfOz21+KM6TFJ1ITk3MeY6szKyovHI -opEXDg87NQYAUIH/53zOnKMtBpbU7WAiLPuI87J2g5rkKCFryVnEcY+uNNrK -Jo6mBBOWb3CdGJzfoZ7cSF3KLJdl5TjPy5LEQfmXdyQcqKH6pALdrMnj00m8 -q+5w4uF65doTb17j505brcJ4VIdJqvIjeCc/WRSsZJ77+Ak+/qp/Lo4t1T14 -M+Q6MzOyovFMRFMQFg4XezWGDgbGAAAtwsvhzr4/Gm4/6xqyr3L1NK9v76q3 -AczZ+SeONkjftU+93zjbqbaopGart0esYddlsjhYfy1314GbQuoep5c1/fiE -AW/eSnrNZ4aPiumcsY8/4+o9f+0N7QEBP3e6NRpEf1SHSaouJNdNzLjO7Iys -awzrFc5OjQEAVEDqkn094wydpDTkjD2qdsvShoyAgB33NHvWknvbzDpKGEbD -xK0POgY7nyD1P7372dAmg/DKUjd/Lg9nTwNfFfLwTGpmRY+qKzbaU336HM/0 -k3R0sjYnPmlANTjNnQlyp66WeFSHSaouJOcmplxnZkbWNYb1CmenxgAASkju -b/fzN7yRO2BIh0mLN+5Mz0j9bu2Wk5q7qdKOm+d2BT07znVd7pU6EUr1I3Ci -YfxLa2ZOcQuJSzqYk32ksEGsXcVJ7m33W7i/Ce9LEjhx5B0F0W5PjHlMzZix -3kn/UDlCUM3a3PiEAYfAmddEuVNVSzyqwyZVB5JzE0OuMzcj6xrDioWzT2MA -ADVQfvGm93fpP56qeyFvOTSiYcKKzeHbKntx5441Vdk+a9oBSXJnVY0UJspE -CbvKiElh5NjVMAIAbSRN+WmZF9uGll8qQ6bUWdPeVKJJmgoy0n9rJXoY17qq -bJ01zYAmcmdNjRSmpVLEfjJiThgF7GcYAcAcMKSzS934Xi6syo2fOu651/cU -VAks3jamEQ0Vt/MRohWXdVWpsVnWtAOS5m5rtdaXShF7yIhJYRSxh2EEAAAA -AAAAAAAAAAAAAAAAAAAAAAAARh9oT3ny6jB/D6eZy/beFsEdZYAe1vUPuBEA -ABXihuyDfwtQBdKQFTQ1lOAbqwBAgHX9A24EAGAQTN4vVy1PRdfj/VdW4Lxw -FACIsa5/wI2AfYLJ4CLfVohu7V6VSaEb7KgEjGcS6/oH3AgwDdJSdPSXO32m -Zj6G8EqyEkJeea/E8g6kWH/t0fgF0xyeHO8UEHP4vrrJACq4nsct7SB5Gxcl -qfjBrYCsNS9iVqTmBWKm1eIhrj++KSo0cPoLnDkrsxt1v3CP9VZz9xd3En7J -kVqZiONbgDUSx4EB42mgmxFDxjOuJrFUU/4hQX80LI0GAFZB1vbrFx9nUVgd -YZJHzbyrCS6TrdAdu/9Oytq9V9oRade1ve9Metpnd63mINp/Oy3y6wtGTc7o -SCUObhky3qmVAQ4c3ZdbkqnFRdJ4/IfzzYiyZfmZiBedh3rrYOLGwlN/tUsH -Dj59jbVCo4gUcyeMbwnWSBwnKhPG03w2vYyYMh5BNfGkmvIPGcajYUk0ALAK -aOe5SL8Y/dfck2BOJx0cpG0XL7Sq563oRqyz49slAs3vsO6iyLnRyk6bZkol -C26J5ua8zWlnk2brN1MjVEsAKhWpd6YkNVvnLtyn7r4jbeZGuTm7eQ4w3Stw -S7Vh21DKZSKIbwnmJy5vz18TV4EvmhnjDUIzI+aMR1RNI6mm/EMq22g0aEQj -KzEAWICcdyzYfWmZrrfQ3urjieEBwV8lr498cybHyS+aO/RmfNqHCNJoKnqv -rvCYp/uif6z791D3sMIug2MEXan4wc1VK206kZhZI2gwavRJoNaENlRwLWN5 -eFqNWEEJ2rnTjG/NxHVlE7fJYNB4dDNi1niq3xpVk8LgU4xPOBrUIOuEAgAW -0Fse4TL7+3r9KYR1nQ983ilOuSyTteR+MNlhwYlW9VU92SFCXJ+XnllitClC -Ek35W37x5wvXleg1Zhbf/cbb88sqg9UaXakEwc1SizzITjxQK8ZtQo2vlkyb -vKfyxPY1IW5PjXVaQa3LG73cyePbPnEtJAcuxoxHPyMmjacgqqbpwbd4NCgB -5ybARvD/nM+Zc7TFYKLoNm0Rln3EeVl724LkECFryVnEcY+uNLrBQRxNgfIv -70g4UGNwzxipS5nlsqzc4NFVulIJgpuhtqvucOLheuUyE28K46s1oU2h7HVT -vsF1YnB+B4W1L+3cieMPQ+Iy3slPFgUrmec+foKPv+qfi2NLdQ/VDBnPnIyY -Mx5JNYldRwTt0SCDSokBwBKEl8OdfX80vCmha+O+ytXTvL69q95OMGfbnyga -1l/L3XXgptDIzpKard4esYa9pulJJQxOX+3NW0mv+czwUTGdM/bxZ1y956+9 -oT1u4Ksl06ah79qn3m+c7aQgkW6Z6Ma3cuIaSBbVzBjPrIwYMx5ZNU0Pvun4 -JkaDEnDdBNgIpC7Z1zPO0OJKG8/Yo2oyLW3ICAjYcU+z9y25t82sQ4RxNOTh -mdTMih5Vj220p/r0OZ72mSbhlaVu/lyewUKVjlSS4OapVYPThJpALVEoTNz6 -oGOwyw1S/9O7n1Hb06Oeu3nxrZy4BpIDF3PGo50Rg8YjrqbpwacSXwveaFAC -zk2ArZDc3+7nb3jPdsDGDpMWb9yZnpH63dotJzV3ZaUdN8/tCnp2nOu63Ct1 -IpTqR+BEk3cURLs9MeYxNWPGeif9o53Eknvb/RbubzL6AgdVqaTBzVE7BM4U -JlKLHwrjX1ozc4pbSFzSwZzsI4UNYorLa6q5mxvfuolrIDtwMWM8szJizHjE -1aQw+BTiDwHnJoB9oPziTe/v0n9MVPfy33LoRcOEFZvDt1X24hxUbS+VdkAS -tdbVZkdloogdZcQ245k1+FYXDAA2R9KUn5Z5sW1oXaiycUqdNQ8RFKNJmgoy -0n9rJXz01sZSaQY0odbK2uyoTBSxo4xYZDwzB9/qggFgOMCQzq7BfW2FXFiV -Gz913HOv7ymoElj8hXB60VBxOx8xsRq0mVTrqrW6NiV2VCaK2FFGLDGeWYNv -EzcCAAAAAAAAAAAAAAAAAAAAAAAAAAAAwwraU568Oszfw2nmsr23RaPoRSqj -NnGAQcB1AEANcUP2wb8FqAJpyAqaGjqKvho4ahMHGARcBwAUweT9ctXqTXQ9 -3n9lBY03Yto5ozZxgEHAdQA7wGR2c9EuurV7VSaFzqojjuFP3I5cAdiIUTvd -AJuBtBQd/eVOn6mDC4bwSrISQl55r8QK7UfF9cc3RYUGTn+BM2dldqPy2+qo -4Hoet7SDzjvCVK99Phq/YJrDk+OdAmIO39ftS4D1VnP3F3cSftOQUtYk8c3E -SolrkLXmRcyK1O+RZyJxitiLK+yojgxJVaNvFZa6DgC0yNp+/eLjLAqrHUzy -qJl3NcFlshVaY0saj/9wvhlR9nQ+E/Gis6ZVTf/ttMivLxj1XSOm/07K2r1X -2hFp17W970x62md3rfqdLJi4sfDUX+3SgTnY11grNIpIMWvC+OZircTVyHin -VgY4cHTe0mkqcaqB7cQVdlRHpqRqPt7IKuxzHQAMgXaei/SLofwCYnPa6OB+ -rFSk3gOS1Gydu3CfpjsO1l0UOTda2ZyTEtK2ixda1VNXdCPW2fHtEoHq583c -KDdnN88BpnsFbqk2bA9KNWui+OZjpcTV8przNqedTZo91BXOVOJUVdqJK+yo -jsxJHQxrZBVStfRCWcl1AKCDnHcs2H1pme6MQXurjyeGBwR/lbw+8s2ZHCe/ -aO7Q+/RpH4VIoylQwbWM5eFpNUNN1LDu30Pdwwq7DGcLeRwlvVdXeMwz7GRg -nazpxh+exKVNJxIzawQNZnbTJsFeXGFHdWRWKqFV2OQ6ANCltzzCZfb39fru -x7rOBz7vFKdcTslacj+Y7LDgRKv6Kp3sKCSuz0vPLDHaISCMJu+pPLF9TYjb -U2OdVgw1TRPf/cbb88sq46UXiSrlb/nFny9cV0KtJzTdrE3EZyRx5EF24oFa -Me1u2lSwF1fYUR2ZlEpmFRa5DgB04f85nzPnaIuBx3VbvQjLPuK8rNlOJzsK -yVpyFnHcoyuNejoTR1OCCcs3uE4Mzu9QT0GkLmWWy7JynOdQSeKg/Ms7Eg7U -UL1tTDdr8vhMJN5VdzjxcL1yJUv3KCHjnfxkUbABi2NLdQ+B9uIKO6ojc1LJ -rcIi1wGALsLL4c6+Pz4w2DXQtWVf5eppXt/eVW9amHNngTjaIH3XPvV+42yn -2qWSmq3eHrGGHbDJ4mD9tdxdB24KqducXtb045sIqMH8xG/eSnrNZ4aPiumc -sY8/4+o9f+0NoyOVudiLK+yojoxJNWEVFrkOAHRB6pJ9PeMMram05Yw9qn7S -0oaMgIAd9zT74JJ728w6ChlGw8StDzoGu9Ag9T+9+9nQlojwylI3fy4P50kf -fFXIwzOpmRU9qkbdaE/16XM804810cnanPjDkrgas7tpk2AvrrCjOjIoVQue -VVjkOgDQQ3J/u5+/4e3WAVs6TFq8cWd6Rup3a7ec1NyhlXbcPLcr6Nlxruty -r9SJUKofgRMN419aM3OKW0hc0sGc7COFDWLtAlFyb7vfwv1NeN+6wIkj7yiI -dntizGNqxoz1TvqHyjymmrW58W2e+BA2OUrYiyvsqI6MSR0Cxyqsch0A6IHy -ize9v0v/sU/dy3nLoRENE1ZsDt9W2Yu7l2FNVbbPml7AYUucIvbiCjuqI9uk -KtjnOgAwQNKUn5Z5sW1oSaeyZUqdNY9CVKJJmgoy0n9rJXpk1rqqbJ01nYDD -mzhF7MQVdlRHNklVsNR1AGAAhnR2De6eK+TCqtz4qeOee31PQZXA4i9404iG -itv5CNHdX+uqUmOzrOkFHP7EKcJ6V9ha54iVakotk64DAAAAAAAAAAAAAAAA -AAAAAAAAAAAACEF7ypNXh/l7OM1ctve2yNJ3o7A52giDzUMNhSOHzaMNtQPY -gbgh++DfAlSBNGQFTQ0t4o/caCMMNg81FI4cNo821A5gCZi8X65aG4mux/uv -rMB5meVIiTbCYPNQQ+HIYfNoQ+1GAZjMnq6HRbd2r8qk0L/V/qNRwY5qx+ah -hsKRw+bRHv7aARaAtBQd/eVOnyn3YwivJCsh5JX3SizucKp80/LR+AXTHJ4c -7xQQc/i+uhUAKriexy3twHu9F91Qg7/qrebuL+6k9eVBcf3xTVGhgdNf4MxZ -md2o+7V4c6KpkbXmRcyK1G/rZn40XRioHc4QQeFow0Th1OgnBbUDWIqs7dcv -Ps6isJDAJI+aeVcTXCZboft2/52UtXuvtCPSrmt735n0tM/uWo0f+2+nRX59 -wahrmhmhMHFj4am/2qUDs6+vsVZILaKk8fgP55sHIsjbz0S86DzUT8esaGpk -vFMrAxw4Ou/GtCSabmAmakcwRFA4OoGZKJzms42SgtoBLATtPBfpF0P5hcLm -dOrBQdp28UKr2s2iG7HOjm+XCDS/w7qLIudGK/ttWhRK2syNcnN28xxgulfg -lmrjzp64oFKRevdEUrN17sJ96o47ZkZT/23e5rSzSbOHerFZEk1XKyO1Ixoi -KBxlGCqcCuOklEDtdJG356+Jq4CXrDOLnHcs2H1pmW4Z0N7q44nhAcFfJa+P -fHMmx8kvmjv0fnza04Q0moreqys85uk2D8C6fw91DyvsMpwnZoQyWxgquJax -PDytRkwSgVo0adOJxMwaQYP1e1gzXDvjIYLCUYPBwhEmBbXTQd585I0weJKP -YXrLI1xmf1+vbyys63zg805xylWUrCX3g8kOC060qi+AyaaJuD4vPbPEaGOA -JJryt/zizxeuK9HrzSy++42355dVxgsb+qHIIIwm76k8sX1NiNtTY51WDPWM -Mysa8iA78UCtmHYPayowWTv8IYLCUYKxwpElBbUbAs5NbID/53zOnKMtBlbQ -bd0iLPuI87J2B5hkmshachZx3KMrjXo0E0dToPzLOxIO1PTrOxupS5nlsqwc -5ylP2qFIIYmmUDa3Kd/gOjE4v4NiRJxoXXWHEw/XK5dydKeJjHfyk0XBBiyO -LdU9BjBcO4XxEEHh2Fw48qSgdjq1m+c+foKPP17tgGFDeDnc2ffHBwYX5LoV -76tcPc3r27vq62xztr6JomH9tdxdB24KjSovqdnq7RFr2L/arFBmCdPQd+1T -7zfOdpoxTQaj3byV9JrPDB8V0zljH3/G1Xv+2htGhxFzYbJ2GvSHCApHCWYK -ZyIpqN0QcN3EBpC6ZF/POENHKis+Y4+qFbS0ISMgYMc9zaaw5N42s6aJcTTk -4ZnUzIoeVQ9vtKf69Dme9slR4ZWlbv5cHs51Pe1QtIVh4tYHHYNtbZD6n979 -jPL2AsmgKWzTw5qp2hEPERSOEsxNOjV4SUHthoBzEyuQ3N/u5294J3Og4g6T -Fm/cmZ6R+t3aLSc1tyulHTfP7Qp6dpzrutwrdSKU6kfgRJN3FES7PTHmMTVj -xnon/aO1tuTedr+F+5vwvm9BNxRtYRj/0pqZU9xC4pIO5mQfKWwQU18UEgza -ILY4xDFUO+IhgsJRhJnCDYGTFNROBzg3sQOUX7zp/V36T1TqXilbDr1omLBi -c/i2yl5cfzIpbHijUYJVtYPCUYdVhVNA7QC2ImnKT8u82Da0jFNVPKXOmv6h -GE3SVJCR/lsr0QOpzAkb7mhUYUvtoHA0YUvhFFA7gNVgSGfX4IavQi6syo2f -Ou651/cUVAks/u40vWiouJ2PEF3RMylseKPRgw21g8KZARsKp4DaAQAAAAAA -AAAAAAAAAAAAAAAAAAAAALYA7SlPXh3m7+E0c9ne2yJL35Bi3WgAs4A3AABg -CHFD9sG/BagCacgKmhpq6Xf+rBsNYBbwBgAATIHJ++WqJazoerz/ygqc120y -Fw1gFvAGAFAGk8FegE0Q3dq9KpNCL1QmolEBjGE77N0bAGAWSEvR0V/u9Jk6 -smAIryQrIeSV90osb8GJ9dcejV8wzeHJ8U4BMYfvq9+yjwqu53FLO/De6kVH -Kn5wSxDXH98UFRo4/QXOnJXZjQglqdTiaDX3VnP3F3ea8xVCWWtexKxI/VZx -5kfTBYxBEf0SjApvAICtkbX9+sXHWRQWUZjkUTPvaoLLZCu0h+6/k7J275V2 -RNp1be87k5722V2rmYv9t9Miv75g1CyNjlTi4GYiaTz+w/lmRNms+UzEi86a -jjNkUunEGRhacWPhqb/apQOHtb7GWiGtw4aMd2plgANH552WlkTTDQzGoIhx -CUa6NwDA5qCd5yL9Yii/q9ecVjI4SNsuXmhVHxdEN2KdHd8uEWh+h3UXRc6N -VrayNFMqWXDzQKUi9XaVpGbr3IX7NK13CKXSiyNt5ka5Obt5DjDdK3BLtXHv -UWKkzXmb084mzR7qoUYjmrw9f01cBf6AgjEoazYqAalaAuzJGwBge+S8Y8Hu -S8t0LYj2Vh9PDA8I/ip5feSbMzlOftHcoVfP0z4EkUZT0Xt1hcc83YYBWPfv -oe5hhV0Gs5quVPzglqhFBdcyloen1Qz1QiOQSjuOuaqkTScSM2sEDdbvPQ3G -oKiWsAQj1xsAMAz0lke4zP6+Xn+KYl3nA593ilOu+WQtuR9MdlhwolV98U92 -CBLX56VnlhhtY5BEU/6WX/z5wnUlem2PxXe/8fb8sspgUUdXKkFwc9XKeypP -bF8T4vbUWKcVQ73P8KXSj2MC/GjIg+zEA7Vi2r2ntZAcf8AYlNSSlWDEegMA -hgH+n/M5c462GEwD3a4owrKPOC9rd79JDkGylpxFHPfoSqP2x8TRFCj/8o6E -AzUG96SRupRZLsvKDZ5wpSuVILgFahXKRjflG1wnBud3YGRS6ccxBU60rrrD -iYfrlWtkuscfGe/kJ4uClcxzHz/Bx1/1z8WxpbqHajAGBbXkJRix3gCAYUB4 -OdzZ98cHBlsbum7vq1w9zevbu+o9BnNuKxBFw/prubsO3BQauV5Ss9XbI9aw -ZzU9qYTBzVWroe/ap95vnO3EyKTSj0Nf1c1bSa/5zPBRMZ0z9vFnXL3nr71h -dEQlhWRtDMYwrdZECUasNwBgGEDqkn094wznj9LtM/aouixLGzICAnbc02yI -S+5tM+sQZBwNeXgmNbOiR9VkGu2pPn2Op31mSnhlqZs/l2ewEKYjlSS4OWox -ceuDjsEWN0j9T+9+NrTfgi+VfhxzVGmxRe9pMAY1tWrwSjBivQEAw4Hk/nY/ -f8N7wgNud5i0eOPO9IzU79ZuOam5VSvtuHluV9Cz41zX5V6pE6FUPwInmryj -INrtiTGPqRkz1jvpH+1BQnJvu9/C/U1G3w6hKpU0uDlqMf6lNTOnuIXEJR3M -yT5S2CDWLmiJpNKNY46qIWxy/AFjmFY7BE4JRrA3AGA4QPnFm97fpf80qe4u -geXQi4YJKzaHb6vsxZmbtpdKLyCJVGbH0CqAMfSxmtoR4A0AGB4kTflpmRfb -htadKren1Flz7lCMJmkqyEj/rZXw0V4bS6UT0IRU5sbQeoAxdLCi2pHgDQAY -HjCks2tws1shF1blxk8d99zrewqqBBZ/b5xeNFTczkdM7GbYTCq9gKRSmRxD -6wLGsLbakeMNAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABGNWhPefLqMH8P -p5nL9t4WjaJ3gY3axAEGAdcBADXEDdkH/xagCqQhK2hq6Cj6dvuoTRxgEDzX -YcLqU7816b6jwvgnuEgfHPh4K60+VQBgP2Dyfrlq9Sa6Hu+/sgLnVdAjlFGb -OMAg+K6TNud+mXpD980Yxj8xRvpg/7txeC9vBwCTYDK7uWgX3dq9KpNCV/ER -x/AnbkeuAGyEoetEVf/z8SG99xwa/8QAWdPh96IvW6MdMTAiQFqKjv5yp8/U -wQVDeCVZCSGvvFdiaetthbKF2/FNUaGB01/gzFmZ3ah84QoquJ7HLe3Aezkm -iab+2qPxC6Y5PDneKSDm8H3dnjxYbzV3f3En4ZflqWVtrNMKyFrzImZFat7A -aVbi+KFUmEqcIgy4Ar+apseHklQSq5iJOR4eVa4T3/7vt3fo9fA1/oke8mZu -+KpLVji8ACMBWduvX3ycRWGNjUkeNfOuJrhMptkKAQ9J4/EfzjcPzDl5+5mI -F501vdX6b6dFfn3BqOcoMf13UtbuvdKOSLuu7X1n0tM+u2vV8xgTNxae+qt9 -YIWG9jXWCo0iUsyaQKdlyHinVgY4cHTfDk07ccJQphKnGpgJVxBWk3R8KEol -Dm4mZnh41LmOX/RukP5AG/9EBzkv94MVF/lwBQ4MgHaei/SLofwOfXNayOF+ -rFSk3gOS1Gydu3CfpjMc1l0UOTda2V+aEtK2ixda1T4X3Yh1dny7RLUdIG3m -Rrk5u3kOMN0rcIvRnVXKWRPptABpc97mtLNJs/W7kdJMnCiUqcQpwowriKqp -hHB8qEolC24etD08Cl0nuhk/6w29Dr7GPxkCbft/Sz6+0AWnJkChXKgcC3Zf -WqY7XdDe6uOJ4QHBXyWvj3xzJsfJL5o71BKG9lGINJoCFVzLWB6epnONj3X/ -HuoeVmjkT/I4SnqvrvCYZ9jFxzpZ4+g0N2tp04nEzBpBg1GnbPqJE4ayGIZd -ocSomgTjQ7uUuMEtUUvZw6PRdZL7/zt7pl5XX+OfDH3oo/yI5eeptvsFRji9 -5REus7+v15+lWNf5wOed4pTLKVlL7geTHRacaFVfpZMdhcT1eemZJUY7BITR -5D2VJ7avCXF7aqzTiqEun+K733h7flllvOAnUaX8Lb/484XrSnooGZte1vg6 -zcoaeZCdeKBWrJA+MJ7aNBMnC2UpTLpi8Lc41cQfH7pSCYKbq5aOh0ej66QN -P/i6Ruk+L2r8E+0ndpxbvjT/EeXWlMDIhv/nfM6coy0GHtftViYs+4jzsnbH -m+QoJGvJWcRxj6402hsnjqYEE5ZvcJ0YrL3KR+pSZrksw3uIlCQOyr+8I+FA -DdXb23SzxtNpRtZddYcTD9crl594U5tW4uShyJDxTn6yKNiAxbGluodqhl2B -X0388aFdSlKr2NTDo9F1ssafXnF+/7KQ7CeaVLt+//i//l8bnJqAQYSXw519 -fzTcz9a1ZV/l6mle2mtwc+4sEEcbpO/ap95vnNVcyktqtnp7xN4QUY+D9ddy -dx24KaS+F0A3azydpjCOdvNW0ms+M3xUTOeMffwZV+/5a29oDy90EjcRylKY -dAVhNfHHh55U+lYxEVADFQ+PRtdJGzJ8XZaW95L9ZBCsu2jFhydbzX12Bxhx -IHXJvp5xhtZU2nLGnn+UthywUkDAjnuaTXDJvW1mHYUMo2Hi1gcdg+3XkPqf -3v1saNdCeGWpmz+Xh+NRfFXIwzOpmRU9quUW2lN9+hzP9ONX1LMm1mlO1lpk -Tfv/7Wqw7KSbOEkoS2HKFaTVxB8fOlLNsQpJQLoeHo2uQ2p3+3pv1H0kx/gn -6o8rXhnONbyoBEYzkvvb/fwNbwsP2NJh0uKNO9MzUr9bu+Wk5vastOPmuV1B -z45zXZd7pU5E+eIbJxrGv7Rm5hS3kLikgznZRwobxNploeTedr+F+5vwvnWB -E0feURDt9sSYx9SMGeud9A+V4w3VrIl1mpP1EDhTm17ipKEshxlXkFaTaHyo -SjXXKoQB6Xt4FLqu/9b6WcEnWlGyn6gQXP7s/SMPzfuyFTBCQfnFm97fpb+O -0b2ctxwa0TBhxebwbZX4bzWxpipWZa0YxsQpYkfjY3up9AIyKpVtrhOUfPjq -V3oJG/9EibA89t0DlB+cBEYNkqb8tMyLbUPOUNkypc6a84VKNElTQUb6b61E -DrWuKtZkrRjuxCliP+Nja6l0AjIslWWuQ2pTQr/U++aw8U+U9F1LeGdfA5ya -ABwwpLNrcINbIRdW5cZPHffc63sKqgQW7//SiIaK2/kI0faFdVWpYUPWCiYS -p4g9jI+tpdILyKhU1rkOqdsXsfN2P+lPlIiub3j7h+FeewEAAACjELTrry2J -v+k+xmH8ExWiqsS3k++PwjcyAwAAAMML1nsr5/C1HpTsJ4OI7+5YknQPTk0A -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAUQHvKk1eH+Xs4zVy297bI -tg25hvOzWMLITnlkZ6cYBQkCwDAhafrtVDWdd/eLG7IP/i1AFUhDVtDU0CK+ -7aThfxYmrD71W9OI/VbCcA7v8DOys1OMggQBYFjAem+kfnmimdb7pDB5v1x1 -KhNdj/dfiddH0nrgf5a0OffL1Bv4L4q0e4ZzeIefkZ2dYhQkCADDgbTx0Mf/ -U4XT3osKolu7V2XWDc/1i+Fniar+5+NDI/vtwcM5vMPPyM5OMQoSBAAbIq7Z -8c5/3xab/o/GYL3V3P3FnVZ8BSjKL02O2ZB66GDq+piUy3y9V44Yf5b49n+/ -vaOGXDrSUnT0lzt9FC+vsP7ao/ELpjk8Od4pIObwfapd1i0BFVzP45Z24PSO -oTa89BJUiOuPb4oKDZz+AmfOyuxGm7/gcpizUyNrzYuYFWnlrlL4WJogAAD4 -SGp3Bb1nzo44Jm4sPPVX+8BlC9rXWCu0xhREO88t93orr20glrz15CKvyPOd -KOln8YveDdpdS3yAlbX9+sXHWdQXrv13UtbuvdKOSLuu7X1n0tM+ZLGtSP/t -tMivL3TpDSG14aWboKTx+A/nmweSkrefiXjR+VOjdgE2YPiy0/wZ79TKAAeO -tTseEmJ+ggAAEIE+Or1w1tqbtHf0pM3cKDdnN88BpnsFbjFucmwG8pZsf8c5 -hwbbT8qasnwdA48p2zUTf5boZvysN/I7CFbVA6e6SL8YGkcoadvFC63qs5Ho -Rqyz49slAhK57flr4iqscvzDuosi50aXCrSJUBte2gkqUKlINvghkpqtcxfu -e0C4I2qP2amD521OO5s028XEuYn5BAEAIEZ8+2vv2TuI3hCP9t7KS03en8M9 -sDvmvyI+jC/lW7bJhfCKMqKCXl11aH/yxqhgV+/In8vz922NW+Ln8uq6Yn5P -2ZIpk7Sng55LIc87Li0nvY8suf+/s2d+exd/V0/OOxbsvrQM9+iD9lYfTwwP -CP4qeX3kmzM5Tn7RXP2uz4reqys85hl2sNaP33zkjTDTV5yUxhDr/j3UPayw -i9bwmp8gKriWsTw8jWw71E6zkzadSMysETT86Gvy3MR0ggAAkCC88tHU2T/g -9nxEu//cuOCdff8oJ720Pn3mC6+feWT0hnm6iKq+cJkScrodVWAd+cEOnBV/ -dKMKWWOm70tvFTVcCJ4wRXs2EpYtmTRhwZ89ZNGkDT/4ukYRPAfVWx7hMvv7 -eoKzC9Z1PvB5pzjlYlfWkvvBZIcFJ1qHdl4wfvHnC9eV9JAdbKgc3CiPofju -N96eX1bRWmCbmaC8p/LE9jUhbk+NdVpRYNTNRoNdZoc8yE48UCtWSB9Y59xk -0wQBACBBUBL6ku//NeLcyu29Fu/uFjt4Q0LecvRVTuDxVgrb5jLeyU8WBRuw -OLZUfZjvr97o7rRMdf4Rln34kseWOwNrd+zRGX/Hf+fcL/1w8sQwzXWT4NLi -iaaum2SNP73i/P5l/GMQ/8/5nDlHW4g0q5o+p9WrtvCEZR9xXh66+YLyL+9I -OFCD/yTEUILz3MdP8PE3SFAP6mOI1KXMcllGnq31ElQovyBWvsF1YrDhhqg9 -Z9dVdzjxcL3qPEJ8bmJJgiamCQCMeoRlHzj74t126Lu24iXH8FLViQJt/2U+ -598HHuKcwehCcm7Kbmo84jdFe7/p4aE5jv45PNLTobQhw9eF6PwlvBzu7Psj -4R0V3YNbX+XqaV7qvUGsv5a768BN019ENr3wpjGGkpqt3h6xN2jd9zMzwSF1 -n3q/cbaTIE/7y+7mraTXfGb4qJjOGfv4M67e89feIHzYg/EEAQAgob8qweuV -lDrjx9G6CoPHPxOYo1y3Su7/X6DjrHSi7RV6n2dwbtqsc25qQR7lf+QVqtzw -GzgWnA6bsaygg3wTEand7eu9UfdWs5x/Ne//Xe9RntGQumRfzzjC44Xy4DZj -zz/KzAdOcQEBO1S9L5GHZ1IzKwa7Y6I91afP8Qif1DN9cKMxhsIrS938ueRn -YiskiIlbH3QgqtMRUv/Tu59ZsqfHvuy0yJr2/9vV4j09WyQIAAA15LycIF/V -CcIAWdvpT2eMf3rqG6u/271l7mSv7VZoW4whrZfSg559xnfnHw1ddYX/8Xxq -vP+ei02dt3Kjnf710grudQHSXZz0+Ya0Qz+nb4pNLuk2Ndf7b62fFXyiVecE -1lMS5eYWVazaGpHc3+7nT/g4w8DBzWHS4o070zNSv1u75aTyXrq8oyDa7Ykx -j6kZM9Y76R/ih8hNH9yoj6Hk3na/hfubKFyYWpQgxr+0ZuYUt5C4pIM52UcK -G8TEF4d2mJ2ONKucm2yRIAAAFOmv/iow6grZLBZcjnT22MTK52AFJR+++hWx -MpRfvOn9XQS/190UsjnkY4gJKzaHb6uk//4lliQ4srNT2CxBAABI6Ps7YXES -0UPkCuXD1KtdXGOus3ErHalNCf2S/Oujkqb8tMyLbTiLb9XBDW830waQjqGk -qSAj/bdWM3dMWZDgyM5OYdMEAQAgpP/2/4Yn1eCdnLD+xrLcLf7jn3T/9k8+ -+/bSkbp9ETtvm7yew5DOLsRgTSsXVuXGTx333Ot7CqoENs3M5Bii4na+oTya -H8FcgiM7O8WwJAgAAAHyjsKNX/5u4rED1oF2/bUl8TfCe/kAAACAnYP2XD34 -8w06/ZuYBuu9lXP4Wo+dnU8BAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAwAzQnvLk1WH+Hk4zl+29LbLa0/82CgvYGvADYJdImn47VU3v60tm -/AkwfIgbsg/+LUAVSENW0NRQ0+1bmQ0L2BrwA2CHYL03Ur880UznhV9m/Akw -rGDyfrlq4SC6Hu+/kqDzL2vCArYG/ADYH9LGQx//TxWtV7Wa8Sc2AZPBdZsJ -RLd2r8qss7x9yfCEtRDwg0lGlR8A+0Zcs+Od/75t0J9J3HBq+7fJmQd+3PHF -iq9OGV4f4f6JKbD+2qPxC6Y5PDneKSDm8H38fuYKpKXo6C93+kwdYjCEV5KV -EPLKeyU99FSQIGvNi5gVqenpgwqu53FLO0g67lCSSi1rOojrj2+KCg2c/gJn -zsrsRoRUKtZbzd1f3GneKwVRfmlyzIbUQwdT18ekXObrvP3JorDaIKz1A50R -pqXT+mZQQ9W6bPYDABggqd0V9J7BPrG8JWeh74Zbyhd4Y90X3vb5/672mvoT -k/TfSVm790o7Iu26tvedSU/77K417l4ga/v1i4+zKKy+MMmjZt7VBJfJbxZb -69wk451aGeDA0e031387LfLrC124U46iVCpZ00LSePyH880DQeTtZyJedP5U -3QAETyombiw89Vf7wLoC7WusFdI8cqCd55Z7vZXXNvBn8taTi7wiz3eiVgir -hbV+oDHCNHVa3Qyaj6dmXXb7AQAMQB+dXjhr7U397TlZU9Ycx1d/qB2YbLLm -n1/79zd6bW9x/8QU0raLF1rVU1F0I9bZ8e0SgaGUznORfjHkvUh1kNz7n+mO -1jo3SZvzNqedTZrtotcLFesuipwbXSowWt9SlUoha5qgUpF630pSs3Xuwn0P -pARSpc3cKDdnN88BpnsFbqHb+VHeku3vOOfQQ9Xie8APvo6Bx5QdxS0Mq4W9 -fqA8wnR1Wt8Mg2GpWZflfgAAQ8S3v/aevcOwcyDafTHBZ8JL7/5n3/aETYfv -6D8aiv8nNOi9usJjnlEvbTnvWLD70jLdKY72Vh9PDA8I/ip5feSbMzlOftHc -odbatI9FxNGkTScSM2sEDT/66k/wgRn+e6h7WGGXYXcgmlJJsjZDreq3gmsZ -y8PTaobWDARSiUF4RRlRQa+uOrQ/eWNUsKt35M/l+fu2xi3xc3l1XTG/p2zJ -lEnag2fPpZDnHZeW2+hON+v8oPot1RFm1gx0rUsMe/wAAEqEVz6aOvuHBuNJ -0l+9M9D9mbEOQYnn22XU/oQaGL/484XrSnoMJ01veYTL7O/r9cNiXecDn3eK -U67/ZC25H0x2WHCiVb1rQHYsEtfnpWeWGG3A4EdDHmQnHqgVK6QPjCa4Qnz3 -G2/PL6sMVoN0pZJkTVvtAPKeyhPb14S4PTXWaUWBtj8VvlQyRFVfuEwJOd2O -KrCO/GAHzoo/ulGFrDHT96W3ihouBE+Yoj36CMuWTJqw4E/r3dvTgXV+UNAb -YSbNQN+6ZLDDDwAwiKAk9CXf/2s0uG+KNP388Tvf3+3t+GvHW5PGz/pGbwMP -909kvJOfLAo2YHFsqeH8Q/mXdyQcqMG5Dcz/cz5nztEWg0mp6qydVq/aChGW -fcR5WbP/T3YskrXkLOK4R1caNWPHidZVdzjxcL1yEYo3wZG6lFkuywwXiHSl -kmRNU63O/8GE5RtcJwbnd2BkUsnor97o7jT4F8KyD1/y2KLcusUenfF3/HfO -/dIPJ08M06yTBZcWT6S6TqbqhEFY5wfaI8ycGcyxLhls8AMAaBCWfeDsq91T -V9NfvclnTkqdch5gPX99MtU1+rrIxJ9QAuuv5e46cBP/C7vCy+HOvj8ahtWd -kn2Vq6d5fXtXvctizv0F42g3byW95jPDR8V0ztjHn3H1nr/2hvbIIKnZ6u0R -e8Pg3ho9qaRZ01N7V+/ZyL5rn3q/cbYTI5NKBsmxKLup8YjfFO39hYeH5jj6 -5/CsfZ+bhX6gP8KMmcEs65LBuB8AQIf+qgSvVwZPQ0Mgdan/nr5mcBmG/LNn -rl/SP4iJP6EA8vBMambFYCdatKf69DmeXgikLtnXM85wLimn5Iw9qo+XNmQE -BOy4p9m4l9zbZtaxCD+aQnmHd/+/XQ0Wn8IrS938uYaTkI5UE1nTVYuJWx90 -IKojG1L/07ufDe044Uslw/BYtFnnWNSCPMr/yCtUucGjQNtPh81YVtBh5R7C -LPUD3RFm0AxaqFuXDIb9AAB6yHk5Qb6b7xh8Vwnru531+X+t+e/vs/bt/mrT -wdt639vA/xNTn9NREO32xJjH1IwZ6613vlMiub/dz9/w/vDAlHSYtHjjzvSM -1O/WbjmpuaUs7bh5blfQs+Nc1+VeqRNRniQE0QbBmeCSe9v9Fu5vMvqmCFWp -FLKmpxbjX1ozc4pbSFzSwZzsI4UNYm1hiKQSgSGtl9KDnn3Gd+cfDV11hf/x -fGq8/56LTZ23cqOd/vXSCu51AdJdnPT5hrRDP6dvik0u6bbuIpm1fqA/woyZ -YQga1iWCYT8AgBH91V8FRl2h+qCuuX9CCZRfvOn9XfqPoepuZVgOvWiYsGJz -+LbKXpz9F9tLpReQRKr9wio/2JEZFCPUD8Boo+/vhMVJ9J4IN+NPKCJpyk/L -vNg2tAZVTUkzNhDxoRNN0lSQkf5bK+FtNRtLpRPQlFT7hS1+sCMzKEayH4DR -Rf/t/w1PqqF1pjHjTyiDIZ1dg9v9CrmwKjd+6rjnXt9TUCWweA+BXjRU3M5H -TCw7bSaVXkAqUu0XNvjBjsxAUS0A2APyjsKNX/5O69amGX8CAAAAAHRAe64e -/PkGrQdbzfgTAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABY -BdpTnrw6zN/DaeayvbdFVvuSgI3CsvBDrctIKsfwY900oRYAwBzihuyDfwtQ -BdKQFTQ1tIjP7rAs/FDrMpLKMfxYN02oBQAwCCbvl6uWbqLr8f4rK6zVd9tG -YVn4odZlJJVj+LFumlALwPZgMrhyNoHo1u5VmXVWf2eijcKy8EOty4gpByNT -z7ppjphaABaC9dcejV8wzeHJ8U4BMYfv4/eyViAtRUd/udNnyvcYwivJSgh5 -5b0SWk3oaAhDBdfzuKUdJI1zqEkV1x/fFBUaOP0FzpyV2Y1WeqG1rDUvYlak -ptEPsVSst5q7v7jTvPeUovzS5JgNqYcOpq6PSbnM13npokVhSSExiakPhXKY -FXYIBqYeTjmsOnoW2IkUJqYGYDP676Ss3XulHZF2Xdv7zqSnfXbXGh8YZG2/ -fvFxFoUlByZ51My7muAymWaDVHrC+m+nRX59oQvXZxSlShqP/3C+eSCgvP1M -xIvOn/7dZ+IPqCDjnVoZ4MDRbUKHJxUTNxae+qtdOjCV+hprhTSnC9p5brnX -W3ltA38mbz25yCvyfCdqhbDkENbC1IdCOSwsByNTj6AcVhs9s+1EDiNTA7AZ -0raLF1rVzhDdiHV2fLtEYPBfBkoe6RdTTrXZoeTe/9Bu3k1TGNZdFDk3ulRg -tJSkLBWVitR7H5KarXMX7ntgeTMeaXPe5rSzSbNd9BqkGkmVNnOj3JzdPAeY -7hW4Rb9lnmnkLdn+jnMOPVStX2VNWb6OgceUjcFphJW356+Jq6DTu5KoFqY+ -FMphYTmYmXqE5bDS6JlrJxMwMjWA4aH36gqPeYbdrxVy3rFg96VlugVDe6uP -J4YHBH+VvD7yzZkcJ79o7lATa9oThDQavjCs+/dQ97DCLoOTE12pClRwLWN5 -eFqN2GKp0qYTiZk1goYfffUPhkRSiUF4RRlRQa+uOrQ/eWNUsKt35M/l+fu2 -xi3xc3l1XTG/p2zJlEna03TPpZDnHZeW07u9K28+8kYYweNKZtSC5IOgHBQg -KQfDU8+4HHRHz6p2YnhqAMyB8Ys/X7iupMfQd73lES6zv6/Xdw/WdT7weac4 -5RJK1pL7wWSHBSda1ZfKZBNEXJ+XnllitBtHEo1AmPjuN96eX1YZLIHoSZX3 -VJ7YvibE7amxTisKOgw10ZKKPMhOPFArVkgfGB0MCaSSIar6wmVKyOl2VIF1 -5Ac7cFb80Y0qZI2Zvi+9VdRwIXjCFO2UE5YtmTRhwZ/0FsrkE5B+LQiBclCB -pBxMTj38ctAePSvaSQmjUwNgBpR/eUfCgRqcJyH4f87nzDnaYmBqVQ/rtHrV -lbmw7CPOy9p7BCQTRNaSs4jjHl1pdDeBOBqBMKQuZZbLMsNVEV2pSjBh+QbX -icH5HfofQEdqV93hxMP1yvUg3sEQXyoZ/dUb3Z0G/0JY9uFLHlvuDKxcsUdn -/B3/nXO/9MPJE8M0i0PBpcUTqS4OZbyTnywKVjLPffwEH3/VPxfHlhoeGGjX -ghAoBwlUysHw1FMYl4P+6FnPTkqYnRrA8IP113J3HbiJ38lQeDnc2fdHwzsA -upbrq1w9zevbu+pLf3M2vYmiEQqT1Gz19oi9IbJM6iB91z71fuNsJ0UfGke7 -eSvpNZ8ZPiqmc8Y+/oyr9/y1N7QTHF8qGSQTMLup8YjfFO2m+sNDcxz9c3j0 -bu6aWBzSrgUhUA4qkJSDyamnQb8c9EfPenZSwuzUAIYb5OGZ1MyKHtUjLWhP -9elzPL0n9ZC6ZF/POEM7Ki03Y88/yv8pbcgICNhxT7OPLLm3zawJYhyNRJjw -ylI3f66h86hLxcStDzoQ1bxA6n969zPjTSR6UtXImvb/29VgoY4vlQzDCbhZ -ZwK2II/yP/IKVe5qKND202EzlhV0oCYj6kHh3ESrFoRAOahAUg6mph5xOeiP -nvXspITZqQEMK/KOgmi3J8Y8pmbMWO+kfwxsIrm/3c/f8HblgOUcJi3euDM9 -I/W7tVtOau5wSjtuntsV9Ow413W5V+pElJ2BE41UmOTedr+F+5uMvmxBVSrG -v7Rm5hS3kLikgznZRwobxNRXbwSJD4JzMCSSSgSGtF5KD3r2Gd+dfzR01RX+ -x/Op8f57LjZ13sqNdvrXSyu41wVId3HS5xvSDv2cvik2uaSb9hOxps9NtGpB -ApSDAmTlYGbqEZeD7ujhxzfXToxPDYB1oPziTe/v0n/2UvdS3XLoRcOEFZvD -t1X24hzB7EgqW7HmcEE5LIRVA2jW6FlXLQAYImnKT8u82Da0gFNZLqXOmhOE -YjRJU0FG+m+thE+d2pFUVmLd4YJyWApbBtDM0bOynQDAGAzp7Brcg1bIhVW5 -8VPHPff6noIqgcXfsqYXDRW38xETKzc7ksoyrDtcaqAcFsKGATRr9GxiJwAA -AAAAAAAAAAAAAAAAAAAAAAAAgJEA2lOevDrM38Np5rK9t0WW3sy2bjRbhwVY -CFgIAACFQtyQffBvAapAGrKCpoZa+sU460azdViAhYCFAAAYAJP3y1WLSNH1 -eP+VFfReem/jaLYOC7AQsBAAsBJMxsx2g+jW7lWZFBqAMhHN1mEthKmS0cVe -dA4yqiwEAEyAtBQd/eVOn6njAobwSrISQl55r8TixppaZK15EbMiNW88QwXX -87ilHTiv68J6q7n7izvpfH0P6689Gr9gmsOT450CYg7f130TvxnRhkD5pckx -G1IPHUxdH5Nyma/z4jKLwlKQrQMTJRPXH98UFRo4/QXOnJXZjcov+hPXi0md -aqhai0yWfVoIAEYEsrZfv/g4i8I6DZM8auZdTXCZbIWmz5rP5p1aGeDA0X0b -Z//ttMivL+i3QMPEjYWn/mqXDkzqvsZaIbWJ238nZe3eK+2ItOva3ncmPe2z -uxaxIJoWtPPccq+38toG/kzeenKRV+T5TtQKYU3L1oGRkkkaj/9wvhlR9q0+ -E/Gis6YLD169GNWp+Wxq1iLFTi0EACOBgXkS6Rej30WABHMaxBAibc7bnHY2 -abZ+9zesuyhybrSyT6b2v3Gj3JzdPAeY7hW4pZpaz01p28ULrepDiehGrLOj -ulmzedG0yFuy/R21PWKasnwdA48pOwZYGNakbB0YKhkqFal33CQ1W+cu3Kfp -KmRUL4Z1qqBoLRNB7NNCADASkPOOBbsvLdM9fqC91ccTwwOCv0peH/nmTI6T -XzR3qPEA7QMIcTRp04nEzBpBg1FnUqz791D3sMIuqrceSAWr6L26wmOeYacB -IhBeUUZU0KurDu1P3hgV7Ood+XN5/r6tcUv8XF5dV8zvKVsyZZL2fNFzKeR5 -qr016YMvm8GSqX4ruJaxPDytZqj/HEG97MlaI9ZCAGCv9JZHuMz+vl5/ymFd -5wOfd4pTri9lLbkfTHZYcKJVvb9AdgAR1+elZ5YYbZngR0MeZCceqBXjds0W -3/3G2/PLKurrRhLByt/yiz9fuK6Een9lUdUXLlNClC3KsI78YAfOij+6UYWs -MdP3pbeKGi4ET5iiPZQIy5ZMmrDgT+vdI9GBSDZjJRtA3lN5YvuaELenxjqt -GOo3h18v+7LWiLQQANgv/D/nc+YcbTGY9LotV4RlH3Fe1txcIDuAyFpyFnHc -oyv7DH+BE62r7nDi4XrlyhTvAILUpcxyWUZnKUksWIHyL+9IOFBD8EgBLiR9 -n3Pul344eWKYZtEruLR4ItVFr4x38pNFwQYsji3FP+ARy2aoZDr/BxOWb3Cd -GJzfoRaHXy87s9bIsxAA2DPCy+HOvj8+MNiq0J2nfZWrp3l9e1e9hWPOTQHj -aDdvJb3mM8NHxXTO2MefcfWev/aG9sgjqdnq7RFr2Ima3kcMCsb6a7m7DtwU -0pu7JAeW7KbGI35TtDcLHh6a4+ifQ6dDNSVIZTNTsrti3d/3XfvU+42znWp9 -+PWyM2uNMAsBgJ2D1CX7esYZzlXlPJ2xR9UmWdqQERCw455m811yb5tZBxD8 -aArcrtkK4ZWlbv5cOtMV/yOQh2dSMyt6VM9AoT3Vp8/xqDU4MzywbNY5sLQg -j/I/8gpV7tYo0PbTYTOWFXRQbn9NDROymSoZJm590DHYwAep/+ndz4b29PDr -ZWfWGlEWAgD7R3J/u5+/4T3egXnqMGnxxp3pGanfrd1yUnNbWNpx89yuoGfH -ua7LvVInojydCKINgnMAkdzb7rdwfxOdb6LgfIS8oyDa7Ykxj6kZM9Y76R9K -faeR1kvpQc8+47vzj4auusL/eD413n/PxabOW7nRTv96aQX3ugDpLk76fEPa -oZ/TN8Uml3Rbd8VLQTYzJcP4l9bMnOIWEpd0MCf7SGGDWHshQVQv+7LWyLEQ -AIwMUH7xpvd36T+wqru/YTn0omHCis3h2yp7ae2hWFcw22FVyUjqxSqdChPW -Gl0WAgC7QNKUn5Z5sW1ogauapyl11jyAUIwmaSrISP+tldqjuuZ9xIiALSUz -VS+26FSYlDrqLAQAdgGGdHYN3ktQyIVVufFTxz33+p6CKoHFuw30oqHidj5C -96Ej6wq2G9hQMir1YoNOU1JHqYUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAVoP2 -lCevDvP3cJq5bO9t0Wh8hwuMAMBmwJ/AqETckH3wbwGqQBqygqaGFvGZ1jP8 -wAgAbAb8CYxOMHm/XLUUE12P919ZMQo7DsAIAGwG/AmwA0zGzEW76NbuVZkU -Gq2OXNg5Akz5wQzsSKo9wk5/AuwE6689Gr9gmsOT450CYg7fJ2gFgLQUHf3l -Tp+peYshvJKshJBX3iuxXkcaWWtexKxIzYvRUMH1PG5pB8470bDeau7+4k7C -705SSoHaaNBBXH98U1Ro4PQXOHNWZjcqXzxAnAIlUH5pcsyG1EMHU9fHpFzm -67x9ztQIUIK1fsAXZnowmbCuOUUHfwKALv13UtbuvdKOSLuu7X1n0tM+u2uN -39sia/v1i4+zKKx2MMmjZt7VBJfJ1mqurWxac2plgANH96Wd/bfTIr++oN9q -DhM3Fp76q106MDX6GmuFRvanmAKV0aCFpPH4D+ebB4LI289EvOis6QqElwI1 -0M5zy73eymsb+FN568lFXpHnOwdnv6kRoAhr/UAsjGwwGZFqRtHBnwCgj7Tt -4oVWtb9FN2KdHbXdorUMuC3SL0a/2QAJ5jTiIZbXnLc57WzSbP0mcVh3UeTc -aGWTUu1/40a5Obt5DjDdK3BLtWFjU6opUBgNmqBSkXqTSFKzde7CfZqGRkYp -UETeku3vqO3+05Tl6xh4TNnzwdQIUIW1fiATRjiYDFmXdtHBn7oh2vPXxFVQ -rRkwKui9usJjnmFXA4WcdyzYfWmZrlfQ3urjieEBwV8lr498cybHyS+aO9Sf -gPYEJ44mbTqRmFkjaDBqYIp1/x7qHlbYRXHm0E1BBf5omJGF6reCaxnLw9Nq -hlr0EaaA8IoyooJeXXVof/LGqGBX78ify/P3bY1b4ufy6rpifk/ZkimTtEek -nkshz1Ptmkof1vmBUBjBYDIslXLRwZ+6yJuPvBEGT/IBQ2D84s8XrisxavDc -Wx7hMvv7ev05gHWdD3zeKU65rpK15H4w2WHBiVb1VTrZBBfX56VnlhhtFeBH -Qx5kJx6oFeM21xbf/cbb88sqilcHdFMgGQ3aWQwg76k8sX1NiNtTY51WDLXk -I05BVPWFy5QQZfM5rCM/2IGz4o9uVCFrzPR96a2ihgvBE6ZoZ7uwbMmkCQv+ -tN69Pd102OYHMmH4g8mkVDpFB3/qAucmQA+Uf3lHwoEanHur/D/nc+YcbTFw -um6/G2HZR5yXNTvVZBNc1pKziOMeXdln+AucaF11hxMP1ytXdnjnJqQuZZbL -MqoLMropkIwGzSx0/g8mLN/gOjE4vwMzlQJJR++c+6UfTp4YplmXCi4tnkh1 -XSrjnfxkUbABi2NLcQ9v7PMDeWnwB5NhqQqqRQd/KnT9Oc99/AQff3J/AqME -rL+Wu+vATSGuC4SXw519f3xgsHeg6/O+ytXTvL69q94PMGfT3jjazVtJr/nM -8FExnTP28WdcveevvaGdSpKard4esYYdv4mglwLpaNDL4q5Y9/d91z71fuNs -J2YqBZK5n93UeMRvinY//+GhOY7+OXTa11OChX4wURr8wWRSqgYqRQd/6gLX -TYAG5OGZ1MyKHtXTNGhP9elzPL1nf5C6ZF/POEOPKn0+Y4+qR7W0ISMgYMc9 -zea15N42syY4fjQFbnNthfDKUjd/LlXT00nBxGjQzQITtz7oGGwchNT/9O5n -Q3smxCkYzv3NOnO/BXmU/5FXqHJDRYG2nw6bsaygg3IPc2qw1g8kwvAHkymp -dIsO/tQFzk2ACnlHQbTbE2MeUzNmrHfSPwZml9zf7udveNN1wOcOkxZv3Jme -kfrd2i0nNbdVpR03z+0Kenac67rcK3UiyqYkiDYIzrlJcm+738L9TZS/gUE1 -BQqjQS8LjH9pzcwpbiFxSQdzso8UNoi1i12iFDCk9VJ60LPP+O78o6GrrvA/ -nk+N999zsanzVm60079eWsG9LkC6i5M+35B26Of0TbHJJd3WvWhirR9IhREN -JjNS6Rcd/KkDnJsAyqD84k3v79J/7FN3f8By6EXDhBWbw7dV9tLY1LB9CvQC -mpECe7AjP7BKKqM66QW0a38CowpJU35a5sW2oYWdyucpddac4BSjSZoKMtJ/ -a6X67KzO39k0BToBzU2BPdiRH9gilWGddALavz+BUQWGdHYNbkwr5MKq3Pip -4557fU9BlcDiPSV60VBxOx8xczlnsxToBbQkBfZgR35gg1RGdVpfKgAAAAAA -AAAAAAAAAAAAAAAAAAAAAACMRtCe8uTVYf4eTjOX7b0tgpvrALsAfwLAqETc -kH3wbwGqQBqygqaGwpcpAXYB/gSA0Qkm75erFqOi6/H+Kyts1MgDAMwD/Dkq -wWR2c4VsR1LtFNGt3asyKXSeHV7spe72otN+Yac/AYXqtcZH4xdMc3hyvFNA -zOH7+O/dVyAtRUd/udNnap5gCK8kKyHklfdKLO8phC8MFVzP45Z2kLxKjwGp -GmSteRGzIjWv/rOSVGoFooO4/vimqNDA6S9w5qzMbkQoSSUF5Zcmx2xIPXQw -dX1MymW+zsvosN5q7v7iTsu+Pcpai5o1kuBPU9ibPwHb0H8nZe3eK+2ItOva -3ncmPe2zu9b4nSaytl+/+DiLwtICkzxq5l1NcJlshcbWxML6b6dFfn3BqHca -c1I1n807tTLAgaP7WlorSKVSIFpIGo//cL4ZUTa/PhPxorOmiQ+ZVHLQznPL -vd7Kaxv4U3nryUVekec7B2c/Jm4sPPVXu3Tgv/Q11grNPQCw1qJmjCT40yR2 -50/ANkjbLl5oVZtJdCPW2VHbT1nLQGkj/WL0e1SQYE4THJrCsO6iyLnRygae -rJCqFtyctzntbNJs/TaIFkulUCCaoFKRep9IUrN17sJ9mr5BhFJNIG/J9nfU -tuxpyvJ1DDymbK0gbeZGuTm7eQ4w3StwSzVJk2J5e/6auAqCsWCtRemPJPiT -Aiz0J8A0vVdXeMwzfFO/Qs47Fuy+tEzXpGhv9fHE8IDgr5LXR745k+PkF80d -amtBe0KRRsMXhnX/HuoeVthlYFMGpUqbTiRm1ggajFr0Wkkq/jiYq1b1W8G1 -jOXhaTVD7eUIpCoUCK8oIyro1VWH9idvjAp29Y78uTx/39a4JX4ur64r5veU -LZkySXtE6rkU8jzVVqdaKLdFYKVFKY8k+JOiWtVvWeRPgFkwfvHnC9eVGLVA -7i2PcJn9fb2+4bCu84HPO8UpFzGyltwPJjssONGqviQmm1Di+rz0zBKj63KS -aATCxHe/8fb8sspgqcOYVORBduKBWjFu+3jrSCUYB7PUDiDvqTyxfU2I21Nj -nVYMtZPDl6pEVPWFy5QQZcc4rCM/2IGz4o9uVCFrzPR96a2ihgvBE6ZoZ7uw -bMmkCQv+pLfWp3huYqNF6Ywk+JOSWgXr/AkwCcq/vCPhQA3OjUz+n/M5c462 -GNhKtxeMsOwjzsuabWGyCSVryVnEcY+u7DP8BXE0AmFIXcosl2WGqx+GpHbV -HU48XK9c8eHNfetIJSkQTbU6/wcTlm9wnRic34GRSVVC0oY7537ph5MnhmnW -pYJLiydSXZfKeCc/WRSsZJ77+Ak+/qp/Lo4txT28sdeiCqojCf6koJaV/tSB -0J+ALcD6a7m7DtwU4g658HK4s++PDwwu1HVN1Ve5eprXt3fVF9/mbJITRSMU -JqnZ6u0Ra9jFmhmpN28lveYzw0fFdM7Yx59x9Z6/9oZ2illDKmmB6Km9K9b9 -fd+1T73fONuJkUlVQjL3s5saj/hN0e7nPzw0x9E/B6+VNwmmr5tYa1ENVEYS -/GlaLSv9CTAE8vBMamZFj+rRFbSn+vQ5nt6DNkhdsq9nnKEhlKaasUfVEFra -kBEQsOOeZqdYcm+bWRPKOBqJMOGVpW7+XEOHMSdVDU77eCtINVEgumoxceuD -jsH+PEj9T+9+NrRngi9VieHc36wz91uQR/kfeYUqN1QUaPvpsBnLCjootzQf -xNS5iaUWpTuS4E8qalnoT4AJ5B0F0W5PjHlMzZix3kn/GDhLcn+7n7/hHc4B -UzlMWrxxZ3pG6ndrt5zU3MOUdtw8tyvo2XGu63Kv1IkoOwAnGqkwyb3tfgv3 -Nxl93YEZqUPgzH1LpVIoED21GP/SmplT3ELikg7mZB8pbBBrF7tEUjGk9VJ6 -0LPP+O78o6GrrvA/nk+N999zsanzVm60079eWsG9LkC6i5M+35B26Of0TbHJ -Jd20F6Wk5ybWWpT+SII/Tatloz8BtoLyize9v0v/GUvdi3HLoRcNE1ZsDt9W -2YuzgwBS9aERkEQq+2FV3cGflBkt/gRsh6QpPy3zYtvQKkplqpQ6a04oitEk -TQUZ6b+1Ej6oClJ1oBzQlFT2w5a6gz9pMIr8CdgODOnsGtwFVsiFVbnxU8c9 -9/qegiqBxRfI9KKh4nY+YmLtBFLpBqQilf2woe7gT1uoHRn+BAAAAAAAAAAA -AAAAAAAAAAAAAAAAoAHaU568Oszfw2nmsr23RaP0jikMAsBywKLAKEPckH3w -bwGqQBqygqaGUnmb9QgEBgFgOWBRYLSByfvlqkWY6Hq8/8qK0fn2exgEgOWA -RQEWgMkYuGIX3dq9KpNCR9ERDTsHgRE/mIcdSbVT2GlRgIVg/bVH4xdMc3hy -vFNAzOH7+C+5VyAtRUd/udNnat5iCK8kKyHklfdKrNAgRVx/fFNUaOD0Fzhz -VmY3Kr87jgqu53FLO4zeqDXwwb3V3P3FnYTf4KOkn9pQmIGsNS9iVqTmPWbE -WVAC5Zcmx2xIPXQwdX1MymW+zpvWTA0CJVjrB3xhpgeT7dalpRMsCowa+u+k -rN17pR2Rdl3b+86kp3121xq/QETW9usXH2dRWOpgkkfNvKsJLpOt0Eha0nj8 -h/PNiLJh95mIF501jV36b6dFfn1Bv0sZJm4sPPVXu3RgUvQ11gqNjE9RP5Wh -MAcZ79TKAAeO7js28bKgBtp5brnXW3ltA38qbz25yCvyfOfg1Dc1CBRhrR+I -hZENJtutS1MnWBQYNUjbLl5oVftbdCPW2VHbvFjLgNUi/WL0X6xPgjlNZ/BA -pSL19oqkZuvchfs0vWSw7qLIudHKVplqpM3cKDdnN88BpnsFbqk2bItJVT+F -oTAHaXPe5rSzSbP1e7oZZUEReUu2v6O2GU1Tlq9j4DFl0wBTg6Aboj1/TVwF -wXCw1g9kwggHk+3WpatztFgUAPTpvbrCY57ha/EVct6xYPelZbrzBu2tPp4Y -HhD8VfL6yDdncpz8orlD7+KnPcFJoylQwbWM5eFpNUMtx7Du30Pdwwq7KM4Z -uvpV4A+FGSlIm04kZtYIGoz6jRJmgfCKMqKCXl11aH/yxqhgV+/In8vz922N -W+Ln8uq6Yn5P2ZIpk7RHpJ5LIc9TbeKphWIDdJb6AVcYwWDai3XBogBAAsYv -/nzhuhKjfsO95REus7+v158DWNf5wOed4pSLKllL7geTHRacaFVfopNNcHF9 -XnpmidE+AWE0eU/lie1rQtyeGuu0YqjFmPjuN96eX1ZRXHfR1U8yFLRTQB5k -Jx6oFeP2wibOQlT1hcuUEGUvNKwjP9iBs+KPblQha8z0femtooYLwROmaKe6 -sGzJpAkL/qS30Kd4bmKjHwiF4Q+mvVgXLAoAhKD8yzsSDtTg3Fvl/zmfM+do -i4HTdRuvCMs+4rys2VQnm+CylpxFHPfoyj7DXxBHU4IJyze4TgzO71CLQ+pS -Zrkso7oUo6ufZChoptBVdzjxcL1ycYo38YmzIGkwnXO/9MPJE8M0i1LBpcUT -qS5KZbyTnywKVjLPffwEH3/VPxfHluIe3tjrB3xh+INpL9YFi6qVay2qA6FF -gdEA1l/L3XXgphDXAsLL4c6+Pz4w2DvQ9Xlf5eppXt/eVW9dmLNpTxxtkL5r -n3q/cbZTrU9Ss9XbI9awXzQR9PSTDgW9FG7eSnrNZ4aPiumcsY8/4+o9f+0N -7RGDOAuSiZ/d1HjEb4p2M//hoTmO/jl4TapJMH3dxFo/EArDH0x7sS5YFADw -QB6eSc2s6FE9SoP2VJ8+x9N79gepS/b1jDM0qNLnM/aoui9LGzICAnbc0+yG -S+5tM2uCG0bDxK0POgZ7tiD1P7372dDGiPDKUjd/LlW709FvYijopqAFpxc2 -SRaGE3+zzsRvQR7lf+QVqtxNUaDtp8NmLCvooNyvexBT5yaW+oFUGP5g2ot1 -waIAYIS8oyDa7Ykxj6kZM9Y76R8Ds0vub/fzN7zpOuBzh0mLN+5Mz0j9bu2W -k5r7tNKOm+d2BT07znVd7pU6EWVH4kTD+JfWzJziFhKXdDAn+0hhg1i7TJTc -2+63cH8T5e9eUNVPYSjopTAEzsQnygJDWi+lBz37jO/OPxq66gr/4/nUeP89 -F5s6b+VGO/3rpRXc6wKkuzjp8w1ph35O3xSbXNJNe0VKem5irR9IhRENpr1Y -FywKAOaA8os3vb9L/5lP3f0By6ERDRNWbA7fVtlLY0fD9vppBzQjC/bAKj8o -SAeTVVIZ1Uk7oF1bFBg9SJry0zIvtg0t7FQ+T6mz5gSnEk3SVJCR/lsr1Qdn -df7OpvppBjQ3C/bAFj8oTA8mW6QyrJNmQPu3KDB6wJDOrsE9dIVcWJUbP3Xc -c6/vKagSWHzBTiMaKm7nI2Yu5Gymn3ZAS7JgD2zwg4LaYLJBKqM6aQccGRYF -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAOuD9pQnrw7z93CauWzvbRHcXAdYB1gU -AEYf4obsg38LUAXSkBU0NZTKu88BYFgBiwLAKAST98tVK1HR9Xj/lRXQKAFg -G2DRUQYms5trYzuSar+Ibu1elUmh+ezwYi+ltxeddg07LTrKwfprj8YvmObw -5HingJjD9/Hfu69AWoqO/nKnz9QkwRBeSVZCyCvvlVjesAVfGCq4nsct7SB5 -mx4DUjXIWvMiZkVqXkpmJanUCjQMaklB+aXJMRtSDx1MXR+Tcpmv8z46rLea -u7+407IvkLLWpQpx/fFNUaGB01/gzFmZ3ah86QJYdFRaFLA2/XdS1u690o5I -u67tfWfS0z67a43faSJr+/WLj7MoLCowyaNm3tUEl8lWaGxNLKz/dlrk1xeM -eqcxJ1Xz2bxTKwMcOLovzLSCVCoFGga15KCd55Z7vZXXNvCn8taTi7wiz3cO -Tn1M3Fh46q926cB/6WusFZo7+1nrUknj8R/ONyPKTvdnIl501rRYAosyoJYc -W1sUsDbStosXWtVOEt2IdXbUNlPWMlDUSL8Y/bfnk2BOExyawrDuosi50coG -nqyQqhbcnLc57WzSbP0GbRZLpVCgYVBrAnlLtr+jtmVPU5avY+AxZWsFaTM3 -ys3ZzXOA6V6BW6pJWhXL2/PXxFUQDAdrXapApSL1jpukZuvchfs0TZjAosOt -1gS2tihgU3qvrvCYZ/imfoWcdyzYfWmZbknQ3urjieEBwV8lr498cybHyS+a -O/TCfdqziTQavjCs+/dQ97DCLgODMihV2nQiMbNG0GDUPNRKUvHHYbjUKhQI -rygjKujVVYf2J2+MCnb1jvy5PH/f1rglfi6vrivm95QtmTJJe0TquRTyPNVW -p1oodopnqUtRwbWM5eFpNUNtBcGiw6uWTRYFrAzGL/584boSo/7HveURLrO/ -r9d3G/b/s3fmQU2cbxyvf3WqP1uPoghNLQiCgqBSR2o4qrYVhelB63hBZ2g9 -ioBHvVq0x+g4HsjVYu2AigegInasjCitouUQUYuKqCiFSOQ0QCAcyebY/FhI -Qkh2N7vJhmzk+fzFDPDk+77P933z7ru779Ny2XecQxS2fJHVZX4+wWbemQbV -xTDZaBJXZyUmF+pdkZNEIxAmfvyDh9u3ZTqLHItJRZ6lRR+pFOMWtmZGKkE/ -DJJajK6yDU52AVjFOFSQ7W/DCbvaqlDKapK9Ji7M413xH2unGeqi4sW2Y+dd -p7fWpzjw2ehSeVvpmd1rAlxGDncI6y8jCBYdVLUY7LAowDAK4Y09G49U4NzF -FF6fy5l1sk7HU9q1YETFSzjvqHfayUaTrC59Acc1vLRT9xfE0QiEIVVxM5yW -6657LCS1pep49PFqbLmHN5SYkUqSoEFQi0FShjv9adEXE8YHqRel7QWLxlNd -lMrqz361wB/jPdfRYz25vT8uiizCnd7Y61IlVu+oZIvzeP9sgUocWHRQ1WKw -waIAs6DdlRn7jtwX4Xa26Eawo9dvz3Su0rUd1Vm6erL7j49V+xnG7JATRSMU -JqnY6TElUreKtWWk3n8Q877nNM9epnKGvzrK2WPu+nuaMciEVNIEDYJaDJKB -n8avOeFtp9nMf546y56bjlfKmwTDi1LWulRN552vPT682KzSBxYdVLUYFrco -wDDI8wvxybfaeh9aUbSVn79UP+ApG6Qq1sstStcKmKOmHegtCC3lJfn47Hmi -3neWPNll1GjSj0YiTHRzmQs3Q9dblpOqAqewNQNSDSRoENRi6A787VoDvw55 -kb3EPRDbTVEqms4HTVueI6Bc1bwPQwOfpS5FxQ3PBH2VjpDq3z/5pn9PDyw6 -qGoxLGxRgFnkgpxwl9eGvaJi2HCPmP90bCV5utubq3t7s8dRNraLtu5NTIr/ -ef2Os+o7olLB/Uv7/MaMcN6UebOqi3LucaKRCpM82e09/zBf70UHy0jtB2co -mSqVQoIGQS2KNBQk+o0Z5bX3Kq+lKvcnt5GjuQeu8ZsfZIY7vD4xLONuO9Ka -H7N2S0LqscRtkbGFrbSfxCUd+Kx1KSosWDPdziUgKuZoetqJXJ5Yc9kAFh1k -tRa2KGARFML8bZ/tG/h0pfaVuOnQi4aKbm0P3lXagbN9AFIHwpha9sOq1INF -KTOELAqYAwk/OyH5WmP/EqrXUXFVTI4mitEk/JykxL8aCJ9SBalaMKmW/bAl -9WBRGgwtiwLmAEWaW/o21pVyUVnmukkj3vzgQE5Zu8nvUdOLphA3CREDqyaQ -aia17IcNqQeLWlAtAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJgRRVtJ7Oog7hSH -6csPPuyCe9gAGwGXAsAQQ8xLO/pvu0KJ8FL8JgXCO4sAGwGXAsBQA5V3y3uX -oV1313FX3qJXjwAABgVw6RADlcG1MaCi68H+VckUyrwOLmBRQBt2unSIg3ZX -nlw3b7LN/0Y7+EQcf4p/wr0Sqcs7+cejTkPjGUXqC1M2Brz7aSEDlTrF1ae3 -hQb6Tn2LM2tlWg324rii/W5WRpFA7ywtmjqpNfkllapC1pC1dEaI+qQyw2pJ -UQiLYiO2xKcejd8cEXdDqHXyG9pRnnE4v9m09zTZa1EVdDsTXEoRa3IpwDTd -j+LWH7zZhEhb7hz82PYNz/2V+qeHyBr/3PBlCoVFBSp5UVt/e6PTBAaqSEtq -Tv96uRbBSiFfWPq2o7pMTPfDhJDvr+iVKKOjk0qTX1ap6o+vP7fSx4ajfYom -mVpyFM2XVrgvzGrs+Vd5w9kF7iGXm/vGPSquyT33T5O05086aypFxg591lpU -/dn0OhNcShWrcinANNLGa1caVE7quhfpaK8pW6yhJ6kh3hEDz6knwZiKM3go -pF2qbRdJxc7Z8w+pC8mgrXkhs8OxOplG6qTQ5JdXal/Y2qztCRdjZg6s2kao -1gDyujSuvaYyDj/Fy973FFbBQFqbEeri6OLWw1R33x3lOIVKNSGastdE3SLo -DvZatE8evc4El1LFulwKmJWO22FT3tM9E18prz/l77qsWDslio7y09HBPv7f -xW4O+Wg6x8E7PKP/aHvaA580Ws91/J2kFcEJFf1V3NDWvwNdg3JbdNxJVydJ -k19uqVL+mejkinaeXkVRArVKJVKflxTqN2dV6uHYraH+zh4hx0qyD+2MWuzt -NGdTvrCteLGdrWY6aisIGEe1oqgGytUHWGdRup0JLqUo1ZpdCjAMKsxfO39T -oV6l4Y6SpU4zf6ke6Da05bLvOIcobPkiq8v8fILNvDMNqothsoEvrs5KTC7U -uyInjCZvKz2ze02Ay8jhDmH9VdvEj3/wcPu2TGeFQ1cnSZNfZqnIs7ToI5Vi -3GrX+Goxuso2ONkFYIXZUEG2vw0n7GqrQimrSfaauDCPd8V/rJ1mnIuKF9uO -nXed3jUJxVHPOovS70xwKSWp1uxSgGEUwht7Nh6pwLmLKbw+lzPrZJ2Op7Sr -roiKl3DeUW9fkw18WV36Ao5reGmn7i+Io2GgopItzuP9swUqcUhV3Ayn5bqL -Hro6SZr88kptqToefbwaW5nijXp8tRgk1a7TnxZ9MWF8kHpF2l6waDzVFams -/uxXC/wx3nMdPdaT2/vjosgi3LmNfRY1pjPBpRSkWrNLAWZBuysz9h25L8Lt -bNGNYEev357pXKVrO6qzdPVk9x8fqzYJjNnMJ47WR+edrz0+vNis0iep2Okx -JVK3WDQ9naRNfmml3n8Q877nNM9epnKGvzrK2WPu+nua6QJfLQbJqE/j15zw -ttPs5D9PnWXPTcermE2C4RUpCy1qVGeCSw1LtV6XAgyDPL8Qn3yrrfehFUVb -+flL9QOeskGqYr3conStgDlq2oHe0stSXpKPz54n6n1nyZNdRg183WiouOGZ -oK9aC1L9+yff9G9BiG4uc+Fm6BqLjk4DTX6JpWrAqXZNoBZDd9Rv1xr1dciL -7CXugdhWilLRdD5o2vIcAeX64X0YGvUstagG6p0JLqUiVYNVuRRgFrkgJ9zl -tWGvqBg23CPmPx1bSZ7u9ubq3t7scZSN7aKtexOT4n9ev+Os+o6oVHD/0j6/ -MSOcN2XerOqinHucaKiwYM10O5eAqJij6WkncnlizYJM8mS39/zDfL23HKjq -pNDkl1ZqPzijnkgtijQUJPqNGeW19yqvpSr3J7eRo7kHrvGbH2SGO7w+MSzj -bjvSmh+zdktC6rHEbZGxha20H8MlHfWstWg/NDoTXGpYaj/W41LAIiiE+ds+ -2zfw6UrtK3HToRENFd3aHryrtANn78D8OukFtCKpSlK17IdVFlVaVeqtSKrS -yl0KmAMJPzsh+Vpj/xKq11FxVUwOfCrRJPycpMS/GggfUTWzTjoBrUiq0rBa -9sMWiyqtKvVWJFX5MrgUMAco0tzSt1utlIvKMtdNGvHmBwdyytpNfo+aRjSF -uEmIGFgymU3nSyuVolr2wwaLKq0q9VYklaJaAAAAAAAAAAAAAAAAAAAAAAAA -AAAA60DRVhK7Oog7xWH68oMPu0y9FcpsNHOHZSGQDrYBGQEASyDmpR39t12h -RHgpfpMCTX31jdlo5g7LQiAdbAMyAgAWAZV3y3uXWV1313FX3qJ3rL2Zo5k7 -LAuBdLANyAgA9ILKLHNB3vVg/6pkCoVNLRHN3GFJgHQMflh2AhkBXjqQuryT -fzzqNDTHoUh9YcrGgHc/LTS9YCjaXXly3bzJNv8b7eATcfyp6lh9RfvdrIwi -gd5RWT1/31GecTi/mdbrfuLq09tCA32nvsWZtTKtRvu9c2OiaVAIi2IjtsSn -Ho3fHBF3Q6h1IJtJYfuxQDrUyBqyls4IUR9fBunAoJQOfD8zAGQEGLLIGv/c -8GUKhZUMKnlRW397o9MEBopZdz+KW3/wZhMibblz8GPbNzz3V6pHRvfDhJDv -rwysQIaKa3LP/dMk7bF9Z02liJq1JTWnf71ci2CVlC8sfduxv8qMUdE0KJov -rXBfmNXY82/yhrML3EMuNysYCKvBIulQf3b9uZU+NhztozUhHZTSQexn04CM -AEOWHieFeEcMPIOeBGMK3+Agbbx2pUE1ervuRTraa2olYyWX80Jmh2NlMNV/ -XJsR6uLo4tbDVHffHeU49S7xUEi7VLtdkoqds+cfUtWhMTKaGnldGtdeUwWG -n+Jl73sKO62fRlh5U/aaqFv4PW6ZdPQhrc3annAxZubAUm6QDgrpIPOzCQzR -jABAD/L6U/6uy4q1B5+io/x0dLCP/3exm0M+ms5x8A7P6D+2nvZkSBqtl47b -YVPe0z6IH239O9A1KLeF6rYI+Uco2u8krQhOqBCTRBgAUp+XFOo3Z1Xq4dit -of7OHiHHSrIP7Yxa7O00Z1O+sK14sZ2tZuZpKwgYR7V6pgaSk/YtmA4p/0x0 -ckU7T6/MKKSDcjp60fMzOZARAMCjo2Sp08xfqgcOJLTlsu84hyhsZSary/x8 -gs28Mw2qK3CyyVBcnZWYXNiie61OEg37rTB/7fxNhQPKG4sf/+Dh9m0Z9ZUV -4UfI20rP7F4T4DJyuENYfyU1Q3SVbXCyC8CKkKGCbH8bTtjVVoVSVpPsNXFh -Hu+K/1g7zWATFS+2HTvvOr3rFpLJ0GLpQJ6lRR+pFOOWwIZ0UGtd329x/KwG -MgIAlBFen8uZdbJOx5TaFVVExUs472j2okkmQ1ld+gKOa3hpp+4viKMpFcIb -ezYeqdC5c4xUxc1wWk5nsUXyEUqs5EvJFufx/tkCigtNksrO6U+LvpgwPki9 -LGwvWDSe6rJQVn/2qwX+GO+5jh7rye39cVFkkfY0ZqF0tFQdjz5ejS2l8WZC -SAfl1uH7Wf2JkBFS+jOihU5GgKGD6Eawo9dvz3Q2ILSd3Fm6erL7j49VV/zG -3OAgioZ2V2bsO3JfpGc9ScVOjymRurWgjfkINZ13vvb48GKz6UMvjV9zwttO -s53+PHWWPTcdrzo0CSQLdcuk4/6DmPc9p3n2MpUz/NVRzh5z19/TzF2QDmqt -I/SzISAjAKAHUhXr5Ral63LMydMO9JZVlvKSfHz2PFFvT0ue7DJqMtSPhjy/ -EJ98q633ER5FW/n5S/WaJ5tEN5e5cDPoGBrvI1BxwzNBX7EXpPr3T76hvmWh -O/S2aw29OuRF9hL3QGw/Q6loOh80bXmOgHJZ7z5IJkPLpUMFTglsSAeldJD4 -2RCQEQDQR/J0tzdX985tj5NtbBdt3ZuYFP/z+h1n1TdOpYL7l/b5jRnhvCnz -ZlUXZcPhRJMLcsJdXhv2iophwz1i/tMMZcmT3d7zD/Nx3uGg8xGosGDNdDuX -gKiYo+lpJ3J5YoprQhRpKEj0GzPKa+9VXktV7k9uI0dzD1zjNz/IDHd4fWJY -xt12pDU/Zu2WhNRjidsiYwtbaa8JSSZDC6WjH5yZENJhOB2kfjYIZAQAcFAI -87d9tm/gI53aOwCmQy8aKrq1PXhXaQetnRFmBVsSSAerMH86aAcc4hkBhhQS -fnZC8rXG/tVhr5PjqpicDClGk/BzkhL/aqD6AK4xH8F6IB2swszpoBkQMgIM -MVCkuaVv61kpF5Vlrps04s0PDuSUtZt8PU4vmkLcJETo3ktmVjArgHSwCrOl -g3ZAyAgAAAAAAAAAAAAAAAAAAAAAAAAAAADw8qBoK4ldHcSd4jB9+cGHXYwd -42KmsEMKZvsQEg0AgPUg5qUd/bddoUR4KX6TAgleFWVN2CEFs30IiQYAwIpA -5d3y3sVu19113JW3mCo6YKawQwpm+xASDQDmBJVZza6BFUntoevB/lXJFKri -siOsiQzl1AypRAMALmh35cl18ybb/G+0g0/E8af4B/wrkbq8k3886jQ0WaBI -fWHKxoB3Py00vWYLvjBF+92sjCIByWliFpCqRtaQtXRGiPr0M8NS8RBXn94W -Gug79S3OrJVpNdqv8qMd5RmH85uNe31SISyKjdgSn3o0fnNE3A2h1vl7JoXV -BGGri9QwkBqSNhrTh9aZaAAYLLofxa0/eLMJkbbcOfix7Rue+yv1TzaRNf65 -4csUCsstVPKitv72RqcJDBQKJxbW/TAh5PsrekXaLCdV/dn151b62HC0T+Yk -k4qLpOb0r5drEaxW+IWlbzv219lBxTW55/5pkvZMPp01lSKaE4yi+dIK94VZ -jT3/Jm84u8A95HKzgoGwGljrIvVnM5AawjYa1YdWmmgAGCykjdeuNKjGWNe9 -SEd7TT1lDT12D/GOGHhMPwnGFBWiKQxtzQuZHY6V8WSFVJXg2qztCRdjZg6s -BEcolQCFtEu1kyWp2Dl7/iFV9SBpbUaoi6OLWw9T3X13lFOvedqLvC6Na6+p -qsNP8bL3PYXVWKARVt6UvSbqFkHPstZFKnlMpIaojUamhrWJBgD20XE7bMp7 -uiUBlPL6U/6uy4q1JxVFR/np6GAf/+9iN4d8NJ3j4B2e0X+yP+1ZhTQavjC0 -9e9A16DcFp1pxYJSpfwz0ckV7Ty9KqUEUg20WtF+J2lFcEKFWEkRpD4vKdRv -zqrUw7FbQ/2dPUKOlWQf2hm12NtpzqZ8YVvxYjtbzfdFW0HAOKrVSDWQ1ZIY -AOtcxHBqiNtIV1jvb1mXaABgG6gwf+38TYV6JZA7SpY6zfyleuA4RFsu+45z -iMIWnbK6zM8n2Mw706DaJiCbVcTVWYnJhXr7KCTRCISJH//g4fZtmc7yz2JS -kWdp0UcqxbgVtPGlkgmTt5We2b0mwGXkcIcw6hXfuso2ONkFYEXdUEG2vw0n -7GqrQimrSfaauDCPd8V/rJ1mkhIVL7YdO+86vWsSit9NrHMRs6khbSNhn1hV -ogGAXSiEN/ZsPFKBcw9beH0uZ9bJOp2Ro10RRlS8hPOOZsOcZFaR1aUv4LiG -l3bq/oI4GoEwpCpuhtNy3RWhhaS2VB2PPl6NrYXxJkB8qQZarcQK9ZRscR7v -ny0wvVJ2+tOiLyaMD1Ivp9sLFo2nupyW1Z/9aoE/xnuuo8d6cnt/XBRZhD8x -s85FZkgNcRsJsa5Ea0GYaAAYHNDuyox9R+6LcG0ouhHs6PXbM539C+3h1lm6 -erL7j49V2xLG3CkgikYoTFKx02NKpG65bMtIvf8g5n3PaZ69TOUMf3WUs8fc -9fc0kw++VHJhfXTe+drjw4vNpk9ZafyaE952mtsQz1Nn2XPT6dT0VlK5bmKh -ixhPDWkbaQhjcaIBgDUgzy/EJ99q632cR9FWfv5S/YBnrJCqWC+3KN0BjA23 -aQd6K09LeUk+PnueqPfQJU92GTWr6EcjESa6ucyFm6E76iwnVQVOBW0CqUSh -UHHDM0FfiR6k+vdPvqG+1aM7ZW3XmrLqkBfZS9wDsX0gpaLpfNC05TkCylXc -+zD03cRaF6kwPTUG20hLGGsTDQDsQC7ICXd5bdgrKoYN94j5T2fASZ7u9ubq -3vjtGW42tou27k1Miv95/Y6z6ru7UsH9S/v8xoxw3pR5s6qL8qjAiUYqTPJk -t/f8w3y911MsI7UfnAmQSCp+KFRYsGa6nUtAVMzR9LQTuTwxxbU0ijQUJPqN -GeW19yqvpSr3J7eRo7kHrvGbH2SGO7w+MSzjbjvSmh+zdktC6rHEbZGxha20 -19Kk302sdVE/JqeGQhtpCGNvogHAelAI87d9tm/gc6fa2xSmQy8aKrq1PXhX -aQfOcLYiqUwLYztDODVDK9EAMJhI+NkJydca+1e9vcMtrorJwUsxmoSfk5T4 -VwPh87vWI5VZYVbAUE3NkEs0AAwmKNLc0rc/rpSLyjLXTRrx5gcHcsraTd40 -oBdNIW4SIgY2QKxBKrPCrIahl5ohmmgAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -MIyirSR2dRB3isP05QcfdjF2lIyZwgKsBYwEAABziHlpR/9tVygRXorfpEAq -J4JbMizAWsBIAAAwCCrvlvcuRrvuruOuvMVU4QMzhQVYCxgJGMKgMrikNxdd -D/avSqZQPZYdYU0EjGQ+hpSRAGsE7a48uW7eZJv/jXbwiTj+lODsf6Qu7+Qf -jzoNzRQoUl+YsjHg3U8LTS8agy9M0X43K6NIgHcIGh2p1FptBLKGrKUzQtTn -thlWi4e4+vS20EDfqW9xZq1Mq9E+TgDtKM84nN9s3CucCmFRbMSW+NSj8Zsj -4m4Itc6pMymsJghbjaSGbmrASASY2UgA0Ev3o7j1B282IdKWOwc/tn3Dc3+l -/tEqssY/N3yZQmEthEpe1Nbf3ug0gYFq2sTCuh8mhHx/Ra+2HB2pVFptDLL6 -cyt9bDjaZ4qSqcVFUnP618u1CFYG/cLStx37a/2g4prcc/80SXsmh86aShHN -CUDRfGmF+8Ksxp5/kzecXeAecrlZwUBYDaw1kvqz6aUGjESEuY0EAL1IG69d -aVANp657kY72moLOGnq8GOIdMbC6AAnGVN6hKQxtzQuZHY7VETVSKoVWG6W5 -Nmt7wsWYmQNr2BGqJUAh7VLtZEkqds6ef0hV9EhamxHq4uji1sNUd98d5frV -WkmR16Vx7TWVffgpXva+p7DqECaG1cBaI6nk0UsNGIkQcxsJAPTpuB025T3d -MgZKef0pf9dlxdrDVNFRfjo62Mf/u9jNIR9N5zh4h2f0FySgPaWQRsMXhrb+ -HegalNuiM0rpSiVptRFqpfwz0ckV7Ty9+qoEag1oU7TfSVoRnFAhVlIEqc9L -CvWbsyr1cOzWUH9nj5BjJdmHdkYt9naasylf2Fa82M5WM3O2FQSMo1oRlT6s -MxLd1ICR2GEkAMBAhflr528q1KvB3FGy1GnmL9UDhxzactl3nEMUtoaT1WV+ -PsFm3pkG1TU82ZQirs5KTC7U25YgiUYgTPz4Bw+3b8t01mZ0pZK0mrZa5Fla -9JFKMW7tb3y1ZNrkbaVndq8JcBk53CGMetW5rrINTnYBWGE5VJDtb8MJu9qq -UMpqkr0mLszjXfEfa6eZRETFi23HzrvO3L0c7UaxzUj0UwNGYoORAABDIbyx -Z+ORCpxbucLrczmzTtbp2Fq7JI2oeAnnHc1uNsmUIqtLX8BxDS/t1P0FcTQC -YUhV3Ayn5brLNbpSSVpNU21L1fHo49XYWhVvSsFXa0CbEisxVLLFebx/tsD0 -at3pT4u+mDA+SL3cbS9YNJ7qcldWf/arBf46LIoswp2G2WckY1IDRrK8kQBA -2fusUca+I/dFuB4R3Qh29Prtmc5WhfZY6CxdPdn9x8eqPQNjbhMQRSMUJqnY -6TElUrfENz2ppK2mp/b+g5j3Pad59jKVM/zVUc4ec9ff00wO+GrJtKnpvPO1 -x4cXm02fUtL4NSe87TS3CZ6nzrLnpuNVIzcJFhrJqNSAkSxsJADAQJ5fiE++ -1db7rI2irfz8pfoBjxohVbFeblG64wEbC9MO9BallvKSfHz2PFFvcEue7DJq -StGPRiJMdHOZCzdDd0jQkWqg1fTVqsCp/U2gligUKm54JugrLoRU//7JN9S3 -YnSnlO1aU0od8iJ7iXsgtk+jVDSdD5q2PEdAudo5NVhrJBXUUwNGsqiRAKAH -uSAn3OW1Ya+oGDbcI+Y/nbElebrbm6t7j7dnLNjYLtq6NzEp/uf1O86qb71K -Bfcv7fMbM8J5U+bNqi7KlsWJRipM8mS39/zDfL23PahKpdBqemr7wZlSiNTi -h0KFBWum27kERMUcTU87kcsTU1zrokhDQaLfmFFee6/yWqpyf3IbOZp74Bq/ -+UFmuMPrE8My7rYjrfkxa7ckpB5L3BYZW9jK7FqXtUbqh0ZqwEgWMxIAUEch -zN/22b6BD4Vq7yGYDr1oqOjW9uBdpR04Y838UmkHJFFrBm2sBow0EDASAJiK -hJ+dkHytsX8d2TsW4qqYnFIoRpPwc5IS/2ogfFTXzFJpBjSglnFtbAeMpAUY -CQAYAEWaW/o2r5VyUVnmukkj3vzgQE5Zu8lX9PSiKcRNQsTA7oTZpDKrlnFt -1gEYiWm1Q9RIAAAAAAAAAAAAAAAAAAAAAAAAAAAALzmKtpLY1UHcKQ7Tlx98 -2DUUz0CBHgDYDPgTGJKIeWlH/21XKBFeit+kwDyhpfUMPtADAJsBfwJDE1Te -Le9dinXdXcddeWsIntgPPQCwGfAnwA5QmWUu2rse7F+VTKGs6ssLO3vAUn4w -AiuSao2w058AO0G7K0+umzfZ5n+jHXwijj/FP+ZfidTlnfzjUaehcYsi9YUp -GwPe/bTQ9Iou+MIU7XezMooEOGeKoR3lGYfzmwnfPaTWBHH16W2hgb5T3+LM -WplWw9B79rKGrKUzQtRnoxE3gRIKYVFsxJb41KPxmyPibgi1zpoz1AOUeGn8 -YEGpOC5iSueQ9ycwZOh+FLf+4M0mRNpy5+DHtm947q/U97us8c8NX6ZQWO2g -khe19bc3Ok1goJQ2sbDuhwkh318ZWKoNFdfknvunSdozNDprKkV69qfYBEnN -6V8v1/Z8kLzpwtK3HQcUwTEaWf25lT42HO1zO/GaQA1F86UV7guzGnv+Vd5w -doF7yOXmvtFvqAco8pL4waJSCVzEgE7wJzBkkDZeu9KgGuRd9yId7TXVljX0 -uC3EO2LgYf0kGFN2h6YwtDUvZHY4VuRT/ce1GaEuji5uPUx1991RrlsYlHIT -FNIu1Z6OpGLn7PmHdEv4GNOQ2qztCRdjZg6sE6fXBIrI69K49prqOfwUL3vf -U1jNBEM9oB2iKXtN1C2Cvng5/GBZqYQuMl3nkPcnMDTpuB025T3dwgBKef0p -f9dlxdpeUXSUn44O9vH/LnZzyEfTOQ7e4Rn95/vTHuCk0fCFoa1/B7oG5bZQ -HDl0m6BUtN9JWhGcUCHWj0WzCVL+mejkinaeXg1TwiYg9XlJoX5zVqUejt0a -6u/sEXKsJPvQzqjF3k5zNuUL24oX29lqpuW2goBxVKuO9vdG7YkPg6g8KWX1 -frCwVH0XMaQT/AkMKVBh/tr5mwr1CiR3lCx1mvlL9cAZCm257DvOIQpbV8nq -Mj+fYDPvTIPqKp1sgIursxKTC/W2CkiiEQgTP/7Bw+3bMpLVl/FNkLeVntm9 -JsBl5HCHMP1ybLSagDxLiz5SKcatr03chK6yDU52AVjxNlSQ7W/DCbvaqlDK -apK9Ji7M413xH2unGe2i4sW2Y+ddp7fQpzj2XwI/WFIqvouY0An+BIYUCuGN -PRuPVODc+RZen8uZdbJOx+za9WJExUs472i2vkkGuKwufQHHNbxUb5OcOBqB -MKQqbobTcqoLMrpNwEBFJVucx/tnCwZ+MJ0mtFQdjz5eja1P8cY+cRNIKmKn -Py36YsL4IPW6tL1g0Xiq61JZ/dmvFvhjvOc6eqwnt/fHRZFFel8+vbwUfrCw -VKW+i5jRiRfZCJ3W7E9giIB2V2bsO3JfhOsC0Y1gR6/fdDe2ta3eWbp6svuP -j1UbDMZs2hNFIxQmqdjpMSVSt2g2EXSb0Efnna89PrzYTHFo6Ee7/yDmfc9p -nr1M5Qx/dZSzx9z19zSTBnETSMZ+Gr/mhLedZj//eeose246Xo1uEgyvS18W -P1hSqpqBLmJGJ15k+jqt15/AUAF5fiE++VZb79M0irby85fqBzyZhVTFerlF -6XoUs/q0A731p6W8JB+fPU/Uu+GSJ7uMGuD60UiEiW4uc+FmUDU99Sag4oZn -gr46OUj17598o79nQq8JKnDqa5M0QXfsb9ca+3XIi+wl7oHYhopS0XQ+aNry -HAHliuV9GBr7L48fLCWV2EWm6gR/AkMGuSAn3OW1Ya+oGDbcI+Y/nYeGJU93 -e3N1b4n3WN3GdtHWvYlJ8T+v33FWfZ9WKrh/aZ/fmBHOmzJvVnVRNiVONFJh -kie7vecf5lN+A4NqE1BhwZrpdi4BUTFH09NO5PLE1PcTCDqkD5yxT9QEFGko -SPQbM8pr71VeS1XuT24jR3MPXOM3P8gMd3h9YljG3XakNT9m7ZaE1GOJ2yJj -C1tpP4xLOvZfLj9YRiqxi0zVCf4EAG0Uwvxtn+0b+Nin9haB6dCLhopubQ/e -VdpBYyP6JWgCe7CizmSVVGvRqbRyfwJDCgk/OyH5WmP/wq7X6nFVTA4citEk -/JykxL8aaL/Y8RI0gT1YUWeyRaq16FS+DP4EhhQo0tzSt9OtlIvKMtdNGvHm -BwdyytpNfsGbXjSFuEmIGLmcewmawB6sqDPZINVadFKUCgAAAAAAAAAAAAAA -AAAAAAAAAAAAAABDEUVbSezqIO4Uh+nLDz7sgpvrALsAfwLAkETMSzv6b7tC -ifBS/CYFwsuUALsAfwLA0ASVd8t7F6Ndd9dxV96iVygBAMwM+HNIgsqs5grZ -iqRaKV0P9q9KplB5dnCxlrxbi07rhZ3+BJS9ZzufXDdvss3/Rjv4RBx/ilMV -AQOpyzv5x6NOQ+MEReoLUzYGvPtpocnFQwmEKdrvZmUUCUiO0rOAVDWyhqyl -M0LU55IxJVVcfXpbaKDv1Lc4s1am1TB0TgBdqaQohEWxEVviU4/Gb46IuyHU -OowO7SjPOJzfbNrbo6y1KE5qwJ+WkUqKmf0JmIfuR3HrD95sQqQtdw5+bPuG -5/5KfXPJGv/c8GUKhaUFKnlRW397o9MEBgpbEwvrfpgQ8v0VvfJplpOq/uz6 -cyt9bDjaZ2YyIFVSc/rXy7UIVqv6wtK3HQcU8RksqeQomi+tcF+Y1djzr/KG -swvcQy43941+VFyTe+6fJmnPn3TWVIqMnQBYa1GC1IA/B1sqOeb2J2AepI3X -rjSohnrXvUhHe009ZQ09qQ3xjhh4gD4JxhTBoSkMbc0LmR2O1fBkhVSV4Nqs -7QkXY2YOrNFmulSFtEu1rSOp2Dl7/iHdMj/ml2oAeV0a115Tsoef4mXvewor -rSCtzQh1cXRx62Gqu++OcopFivXVstWihKkBfw6qVAOY25/AINBxO2zKe7on -9Svl9af8XZcVa5tU0VF+OjrYx/+72M0hH03nOHiHZ/SfuU97QJFGwxeGtv4d -6BqU26JjUwtKlfLPRCdXtPP06ocyJFWpaL+TtCI4oUKspAZzUpVKpD4vKdRv -zqrUw7FbQ/2dPUKOlWQf2hm12NtpzqZ8YVvxYjtbzfdFW0HAOKqlTunDSovq -pwb8OYhS2eRPwCygwvy18zcV6pVA7ihZ6jTzl+qB0wHactl3nEMUtoiR1WV+ -PsFm3pkG1SUx2YASV2clJhfqXZeTRCMQJn78g4fbt2U6Sx2LSUWepUUfqRTj -1rZmQqq8rfTM7jUBLiOHO4Tpl5Mzs1SMrrINTnYBWMU4VJDtb8MJu9qqUMpq -kr0mLszjXfEfa6cZ7aLixbZj511n7h6JdotYaFH81IA/B08qBjv8CZgFhfDG -no1HKnBuMwuvz+XMOlmn4yztcjCi4iWcdzT7zCQDSlaXvoDjGl6qtyNNHI1A -GFIVN8Npue7qx0JSW6qORx+vxhZ9eAOKGakYqKhki/N4/2zBwL4wt1QMkjLc -6U+LvpgwPki9Lm0vWDSe6rpUVn/2qwX+OiyKLNL78umFtRZV6qcG/Dl4UjHY -4E/AHKDdlRn7jtwX4Xa56Eawo9dvurvI2r7qLF092f3Hx6qreWM2yYmiEQqT -VOz0mBKpW8XaMlLvP4h533OaZy9TOcNfHeXsMXf9Pc1IZEZqH513vvb48GIz -xaHBkFQMkrGfxq854W2n2c9/njrLnpuOV8rbJFhrUTUDUwP+HDypGBb3J2AW -kOcX4pNvtfU+uqJoKz9/qX7AY1BIVayXW5SuITBfTTvQWxVbykvy8dnzRL31 -LHmyy6gBpR+NRJjo5jIXboauwywnVQVObWuTpaLihmeCvnI6SPXvn3yjv2di -ZqkYumN/u9bYr0NeZC9xD8Q2VJSKpvNB05bnCCiXNKcGSy1KnBrw5+BJxbCw -PwFzIBfkhLu8NuwVFcOGe8T8p/OEruTpbm+u7v3nHl/Z2C7aujcxKf7n9TvO -qm+KSgX3L+3zGzPCeVPmzaouyg7AiUYqTPJkt/f8w3y91x0sI7UfnAFlqlRU -WLBmup1LQFTM0fS0E7k8MfX9BKakokhDQaLfmFFee6/yWqpyf3IbOZp74Bq/ -+UFmuMPrE8My7rYjrfkxa7ckpB5L3BYZW9jK7KKUtRYlTg34czClWtifgAVR -CPO3fbZv4DOW2tfjpkMvGiq6tT14V2kHzigAqUZHI5HKfljVmS9H0q1IKjCU -kfCzE5KvNfavonp9FVfFpEspRpPwc5IS/2ogfIsCpBoTzZBU9sOWznyJkm5F -UoGhDIo0t/RtKyvlorLMdZNGvPnBgZyydpMvkOlFU4ibhIiBtRNINYdU9sOG -znzJkm5FUgEAAAAAAAAAAAAAAAAAAAAAAAAAAACloq0kdnUQd4rD9OUHH3YN -xfus0AOmA30IPQAAjCLmpR39t12hRHgpfpMC84SW1jP4QA+YDvQh9AAAMAsq -75b3LvK67q7jrrw1BM/Mhx4wHehD6AHAqkBlVnNt3/Vg/6pkCnVIX17Y2QNW -ZCElW/twMIEeABgH7a48uW7eZJv/jXbwiTj+FKcEAQZSl3fyj0edhuYLFKkv -TNkY8O6nhQwUSBFXn94WGug79S3OrJVpNdjr44r2u1kZRQK9E7XINRE3EO0o -zzic30z46h+1VuvrZABZQ9bSGSHq88SMang/CmFRbMSW+NSj8Zsj4m4ItQ5n -M9QDlGCvhVQw0JngInO7CAAG0v0obv3Bm02ItOXOwY9t3/DcX6k/LGSNf274 -MoXCogiVvKitv73RaQIDhaQlNad/vVzbI0bedGHp247qSjHdDxNCvr+iV6iM -GMIGouKa3HP/NEl7Bl1nTaVILyLFVhPoNA1Z/bmVPjYc7bMuaTdcg6L50gr3 -hVmNPf8qbzi7wD3kcnPfvGKoByjCWgupP5uBzgQXmdtFADAQaeO1Kw2qYdZ1 -L9LRXlO8WEOPKUO8IwaeVk+CMUVn8FBIu1TbOpKKnbPnH1LXkkFb80Jmh2PV -MilB1EBpbUaoi6OLWw9T3X13lOsW06TcaiKdJiCtzdqecDFm5sDaajQbrkFe -l8a119Sv4ad42fuewuoMGOoBympZa6E+eUx0JriIARfJm7LXRN2iagIA6Kfj -dtiU93SPxVfK60/5uy4r1raUoqP8dHSwj/93sZtDPprOcfAOz+g/4J72xEIa -Talov5O0Ijihor+GGdr6d6BrUG6L7ugij0PcQFzothpHp7GtlvLPRCdXtPP0 -6n4SNVyJ1OclhfrNWZV6OHZrqL+zR8ixkuxDO6MWezvN2ZQvbCtebGer+b5o -KwgYR7XuJ31YZyHanQkuMpuL5LUnPgyCJ/kA2qDC/LXzNxXq1RvuKFnqNPOX -6oFDEW257DvOIQpbfsnqMj+fYDPvTIPqYp5sYhFXZyUmF+rtKBBGk7eVntm9 -JsBl5HCHsP6aZeLHP3i4fVumv0IjUUXSQFzotRpfp1GtRp6lRR+pFOPWpCZs -uLKrbIOTXQBWPg0VZPvbcMKutiqUsppkr4kL83hX/MfaaeYRUfFi27HzrjN3 -L0e7RWyzkFGdCS4yk4vguwkwBoXwxp6NRypwbmMLr8/lzDpZpzMmtGuviIqX -cN7R7JCTTCyyuvQFHNfwUr29dOJoGKioZIvzeP9sgUocUhU3w2k53qKNJA5x -A3Gh22o8nUa0uqXqePTxamzlizerEDecpCZ1+tOiLyaMD1KveNsLFo2nuuKV -1Z/9aoG/Dosii/AnZtZZyNjOBBeZyUXvuY4e68kldxEAaIN2V2bsO3JfhGsW -0Y1gR6/fdPe/tUdEZ+nqye4/PlbtQxhzs4A4Wh+dd772+PBis0qfpGKnx5RI -3XrRZHFIG4gL3Vbj6TSEfrT7D2Le95zm2ctUzvBXRzl7zF1/TzMdETecZFZJ -49ec8LbT3Cl4njrLnpuOV9faJFhoIaM7E1xkHhfBdRNAE+T5hfjkW229D90o -2srPX6of8JgVUhXr5Rala2VsREw70FsbW8pL8vHZ80S9aS55ssuoiUU3Gipu -eCboq9mCVP/+yTf9uxyim8tcuBl4AwNflYEG4kK91cQ6jWm1Bpya1CQN151V -tmvNKnXIi+wl7oHYVo1S0XQ+aNryHAHlEt/UYKmFNNDrTHCReVwE300AHeSC -nHCX14a9omLYcI+Y/3TGnOTpbm+u7r3fnhFhY7to697EpPif1+84q76dKxXc -v7TPb8wI502ZN6u6KHsXJxoqLFgz3c4lICrmaHraiVyeWLOMlDzZ7T3/MB/v -LQ2cOBQaiAvVVhPrNKbV/eDMKkQNR5GGgkS/MaO89l7ltVTl/uQ2cjT3wDV+ -84PMcIfXJ4Zl3G1HWvNj1m5JSD2WuC0ytrCV2Ysm1lqoHxqdiR8KXMSAi+C7 -CWAahTB/22f7Bj4dqr2TYDo0oqGiW9uDd5V24A5eJlWxqtVKAw1nO1bVmeAi -ALAaJPzshORrjf3rv94REVfF5PiiEk3Cz0lK/KuB6PldZlWxptVKgw23Aqyn -M8FFAGBNoEhzS9+GuFIuKstcN2nEmx8cyClrN3mDiEY0hbhJiBAt+ZhVpYIN -rVYaaLjVYA2dCS4CAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAARVtJ7Oog7hSH -6csPPuyCe/AA6wCLAsDQQ8xLO/pvu0KJ8FL8JgXCO5cA6wCLAsAQBJV3y3tX -ol1313FX3jJTVQ4AMBqw6NADlcHlMaCi68H+VckUKt4OLmBRQAM7LQqg3ZUn -182bbPO/0Q4+EcefEhz/j9TlnfzjUaeh8Ywi9YUpGwPe/bTQ9AJB+MIU7Xez -MooEeOeg0ZFKrdV0EFef3hYa6Dv1Lc6slWk1CHNScSIzgKwha+mMEPVJa4al -kqIQFsVGbIlPPRq/OSLuhlDrEDy0ozzjcH6zaS+Zstaiauh2JliUCtZkUcAM -dD+KW3/wZhMibblz8GPbNzz3V+o7S9b454YvUyisK1DJi9r62xudJjBQUJtY -WPfDhJDvr+hVWaMjlUqraSGpOf3r5VoEKzx9YenbjuqKPAxIJYhsGrL6cyt9 -bDjap4CSSSVH0XxphfvCrMaef5U3nF3gHnK5uW/oo+Ka3HP/NEl7/qSzplJk -7OhnrUXVn02vM8GilLAqiwJmQNp47UqDyvRd9yId7TVllzX05DXEO2LgOfsk -GFN8h6YwtDUvZHY4VurTSKkUWk0ThbRLtUkkqdg5e/4hdc0ek6USRjYBaW3W -9oSLMTMHVp0jlGoAeV0a115T2Yef4mXvewqrwCCtzQh1cXRx62Gqu++OcpxC -q5oQTdlrom4R9AVrLaqSR68zwaKUsC6LAuam43bYlPd0D/RXyutP+bsuK9bO -iqKj/HR0sI//d7GbQz6aznHwDs/oP5qf9sAnjYYvDG39O9A1KLdFx6N0pZK0 -2ki1ivY7SSuCEyr6a8UxJVU/srE6pfwz0ckV7Ty9iqgEUpVKpD4vKdRvzqrU -w7FbQ/2dPUKOlWQf2hm12NtpzqZ8YVvxYjtbzczZVhAwjmpF1P7eoFo9gXUW -pduZYFEq0azZogDzoML8tfM3FepVSu4oWeo085fqgQMDbbnsO84hClvByOoy -P59gM+9Mg+p6mGzgi6uzEpML9S7KSaIRCBM//sHD7dsynXUOXakkrTZGrbyt -9MzuNQEuI4c7hPXXhmNCKn5ko3Qiz9Kij1SKcat140vF6Crb4GQXgBWWQwXZ -/jacsKutCqWsJtlr4sI83hX/sXaaoS4qXmw7dt51etckFAc+6yxKvzPBoubo -VQx2WBRgHoXwxp6NRypwbrgKr8/lzDpZp2Mr7aoxouIlnHc0m8wkA19Wl76A -4xpeqrcdTRyNQBhSFTfDabnu0oeuVJJWG6lWiVXIKdniPN4/W4AyKhUnshE6 -W6qORx+vxhaneAMfXyoGSbXu9KdFX0wYH6RelLYXLBpPdVEqqz/71QJ/jPdc -R4/15Pb+uCiyCHcaZp9FjelMsKihaNZsUYBx0O7KjH1H7otw+1t0I9jR6zfd -LWRtU3WWrp7s/uNj1aW8MZv5RNEIhUkqdnpMidQtdk1PKmmrjVGrpvPO1x4f -XmxGmZOKH5m+zvsPYt73nObZy1TO8FdHOXvMXX9PM2PgS8UgGfhp/JoT3naa -zfznqbPsuel4Fb9JMLwoZaFFjepMsKiBaNZrUYB5kOcX4pNvtfU+t6JoKz9/ -qX7AA0FIVayXW5SuGzBTTTvQW5daykvy8dnzRL3vLHmyy6iBrx+NRJjo5jIX -boauvehINdBqumpRccMzQV9tHKT690++6d/WMFUqcWRjdGrAqdZNIBVDd+Bv -1xr4dciL7CXugdhuilLRdD5o2vIcAeVS6n0YGvistagK6p0JFqXQcBVWZVGA -ceSCnHCX14a9omLYcI+Y/3RGgOTpbm+u7p3YHlPZ2C7aujcxKf7n9TvOqu+I -SgX3L+3zGzPCeVPmzaouyunHiUYqTPJkt/f8w3y9dx2oSqXQanpqUWHBmul2 -LgFRMUfT007k8sSadaOpUokjG6OzH5yBTyQVRRoKEv3GjPLae5XXUpX7k9vI -0dwD1/jNDzLDHV6fGJZxtx1pzY9ZuyUh9VjitsjYwlbaT+KSDnzWWrQfGp0J -FjUQrR/rsShgKRTC/G2f7Rv4gKX2xbjp0IuGim5tD95V2oEzBMwvlV5Ai0pl -rFfZjxV1JljU6GhWbVHATEj42QnJ1xr7l1C9poqrYtKiFKNJ+DlJiX81ED5Q -a2apdAJaWCqTvcp+rKgzwaLGRLN+iwJmAkWaW/r2lJVyUVnmukkj3vzgQE5Z -u8mvUtOLphA3CREDCyezSaUX0KJSme9V9mNFnQkWHZoWBQAAAAAAAAAAAAAA -AAAAAAAAAAAAAKweRVtJ7Oog7hSH6csPPuyCO9kA6wCLAsDQQ8xLO/pvu0KJ -8FL8JgXCm4sA6wCLAsAQBJV3y3tXol1313FX3qJXlQAAzA9YdIiByuDaGOin -68H+VckUitIOLuBSQAM7LTrEQbsrT66bN9nmf6MdfCKOP8U/jF+J1OWd/ONR -p6HBjCL1hSkbA979tND0oqL4whTtd7MyigR6J2rRlEqt1UYga8haOiNEfQgY -Q2qV4urT20IDfae+xZm1Mq2GoZfy6UolRSEsio3YEp96NH5zRNwNodY5dWhH -ecbh/GbTXtVkrUtxUgMWHZIWBZim+1Hc+oM3mxBpy52DH9u+4bm/Ut9WssY/ -N3yZQmFRgUpe1Nbf3ug0gYGC18TCuh8mhHx/Ra9QGR2pVFptDLL6cyt9bDja -B1QyoFZSc/rXy7UIVhj6wtK3HQdUzBksqeQomi+tcF+Y1djzr/KGswvcQy43 -9w19VFyTe+6fJmnPn3TWVIqMHf2sdSlBasCiQ86iANNIG69daVCZvutepKO9 -pnKxhp6khnhHDDyqngRjiuPQFIa25oXMDseqZRoplUKrjdJcm7U94WLMzIEF -0UxWq1RIu1TbT5KKnbPnH9KtqWN+qQaQ16Vx7TX1cfgpXva+p7A6BtLajFAX -Rxe3Hqa6++4oxylXqgnRlL0m6hZBX7DWpYSpAYsOtlQDMGBRwHJ03A6b8p7u -mfhKef0pf9dlxdr2VHSUn44O9vH/LnZzyEfTOQ7e4Rn9p9vTHvWk0fCFoa1/ -B7oG5bboGJSuVJJWG6FWyj8TnVzRztMr1smUWkX7naQVwQkVYiU1mJOqVCL1 -eUmhfnNWpR6O3Rrq7+wRcqwk+9DOqMXeTnM25Qvbihfb2Womz7aCgHFU64r2 -9wbVGgSsdKl+asCigyt1ECwKWApUmL92/qZCvWLDHSVLnWb+Uj1wYKAtl33H -OURhyxdZXebnE2zmnWlQXQyTjXpxdVZicqHeFTlJNAJh4sc/eLh9W6azyKEr -laTVtNUiz9Kij1SKcQtJM6FW3lZ6ZveaAJeRwx3C9Gu3mVkqRlfZBie7AKw8 -GyrI9rfhhF1tVShlNcleExfm8a74j7XTDHVR8WLbsfOu07smofjdxEaX4qcG -LDqoUjHMbFHAMiiEN/ZsPFKBc8NVeH0uZ9bJOh1PaRdeERUv4byj2WEmGfWy -uvQFHNfwUr29aOJoBMKQqrgZTst11z10pZK0mqbalqrj0cersRUf3mhiSK0S -q2BTssV5vH+2YKBic0vFIKl5nf606IsJ44PUi9L2gkXjqS5KZfVnv1rgj/Ge -6+ixntzeHxdFFuHOxOx1qVI/NWDRQZWKYW6LakFoUYBZ0O7KjH1H7otwO1t0 -I9jR6zfd/WNtR3WWrp7s/uNj1XW8MTv5RNEIhUkqdnpMidStF01PKmmr6am9 -/yDmfc9pnr1M5Qx/dZSzx9z19zTDkAm1ajrvfO3x4cVmiqIZkopBMvDT+DUn -vO00m/nPU2fZc9Px6maTYPi6ibUuVTMwNWDRQZWKYWaLAoMO8vxCfPKttt6H -VhRt5ecv1Q94IAipivVyi9K1AuaoaQd6q0RLeUk+PnueqDedJU92GTXq9aOR -CBPdXObCzdD1Fh2pBlpNX60KnELSJqtFxQ3PBH21a5Dq3z/5Rn/DxMxSMXQH -/natgV+HvMhe4h6I7aYoFU3ng6YtzxFQrnbeh6HvJpa6lDg1YNFBlYphZosC -g4tckBPu8tqwV1QMG+4R85/OCJA83e3N1b0T2+MoG9tFW/cmJsX/vH7HWfXt -UKng/qV9fmNGOG/KvFnVRTn3ONFIhUme7Paef5iv96IDVakUWk1PbT84o8lU -taiwYM10O5eAqJij6Wkncnli6stopqSiSENBot+YUV57r/JaqnJ/chs5mnvg -Gr/5QWa4w+sTwzLutiOt+TFrtySkHkvcFhlb2Ep7RUr63cRalxKnBiw6yFLN -b1GAfSiE+ds+2zfw6UrtK3HToRcNFd3aHryrtAPH/+aXSjugRdUyJpX9sKoz -waKUGUIWBcyBhJ+dkHytsX/91OuouCom/UkxmoSfk5T4VwPhA7VmlkozoIXV -MimV/bClM8GiNBhaFgXMAYo0t/RtKCvlorLMdZNGvPnBgZyydpMvjelFU4ib -hIiBVZPZpFqXWualsh82dCZY1IJSAQAAAAAAAAAAAAAAAAAAAAAAAAAAAMC8 -KNpKYlcHcac4TF9+8GHXy3wbm9mWmqnfhk46AAAAiBHz0o7+265QIrwUv0mB -VE4Zt1aYbamZ+m3opAMAAIAEVN4t712dd91dx1156yUuScBsS83Ub0MnHQAA -ABToerB/VTKFirTMgcoss2PFbEvN1G+Dnw4AMAK0u/LkunmTbf432sEn4vhT -/MP4lUhd3sk/HnWSD3hqoeggrj69LTTQd+pbnFkr02qwd8cV7XezMooEesdp -WVyqCllD1tIZIeoTwBhSi9MPFpBKikJYFBuxJT71aPzmiLgbQq1D6tCO8ozD -+c2mvqdJraOUKFJfmLIx4N1PC00vzoNvEuKOMqGlA3NharRBSAcAmJvuR3Hr -D95sQqQtdw5+bPuG5/5K/ZlP1vjnhi9TDC60qISihaTm9K+XaxGsYPeFpW87 -qsvEdD9MCPn+il6VMotKVX98/bmVPjYc7dMpGVBL0A+DKpUcRfOlFe4Lsxp7 -/lXecHaBe8jl5r7pEBXX5J77p0na8yedNZUiY2dEih3V83mSF7X1tzc6TWCg -3jqxSfA6ypSW6ufCtH4zdzoAwPxIG69daVANua57kY72mrLFGnqMHuIdMfCc -eiND0UQh7VJtzUgqds6ef0hdSAZtzQuZHY6VymSN1L6wtVnbEy7GzBxYDc1k -tYT9MHhSDSCvS+Paa4rj8FO87H1PYUUMpLUZoS6OLm49THX33VGOU6tUE6Ip -e03ULfy+oNxRfRhTmwkHMpPodRSNlup/kF4uTImmNHs6AGCw6bgdNuU93QPx -lfL6U/6uy4q1baroKD8dHezj/13s5pCPpnMcvMMzBh5tTxCKEPKAivY7SSuC -Eyr6C5ihrX8HugbltujMoZaVKuWfiU6uaOfpVepkSq1+PwyWVKUSqc9LCvWb -syr1cOzWUH9nj5BjJdmHdkYt9naasylf2Fa82M5WM3W3FQSMo1pUtL83iGtk -0O0o2t9NRpiEsKNofwRhLsiwZDoAYJBBhflr528q1Ks03FGy1GnmL9UD5260 -5bLvOIcobOEoq8v8fILNvDMNcoOhMMTVWYnJhXr7RoQB5W2lZ3avCXAZOdwh -rL9gmfjxDx5u35bpLPwsKRV5lhZ9pFKMW0WaCbX4/TBIUjG6yjY42QVgtdlQ -Qba/DSfsaqtCKatJ9pq4MI93xX+snWb6ExUvth077zq96xaSyZBuWsm+m+ja -r++3OCYh7igC6OeCFMulAwAGFYXwxp6NRypwngkQXp/LmXWyTmc0a1ddERUv -4bzTfxOEOFQPsrr0BRzX8FK9OyYkAZVY2ZaSLc7j/bMFqqBIVdwMp+W6a0HL -SW2pOh59vBpbCONNMgypxemHQZKKQVLwOv1p0RcTxgepF+rtBYvGU12oy+rP -frXAH+M919FjPbm9Py6KLNL+HqDbUSTfTcbYD98kxB1FBO1ckGK5dADA4IF2 -V2bsO3JfhGtA0Y1gR6/fdG9xaA+0ztLVk91/fCw2GIoMooBqOu987fHhxWZV -XEnFTo8pkbrFoi0m9f6DmPc9p3n2MpUz/NVRzh5z19/TTIBMqMXvh0GSikEy -Gabxa05422lucDxPnWXPTccrmk0CyUKdbkcZc7+JtkmIO4r6RxjIBSmWSwcA -DBbI8wvxybfaeh/kUbSVn79UP+CZNaQq1sstSncQYgNt2oHeKtFSXpKPz54n -EsOhyMALiIobngn6CrYg1b9/8k3/Xpbo5jIXbobueLOgVA04VaRNVkvcD4Mk -FUN3MtyuNRnWIS+yl7gHYjtMSkXT+aBpy3MElEud90EyGdJJK4bkyS6jvpto -mYS4o+h9hAq8XJBiuXQAwKAgF+SEu7w27BUVw4Z7xPynM0lLnu725uo+LNAz -0GxsF23dm5gU//P6HWex+7oUQpGAExAVFqyZbucSEBVzND3tRC5PrFm8Sp7s -9p5/mK/3ionFpPaDM8mYqpa4HwZNKoo0FCT6jRnltfcqr6Uq9ye3kaO5B67x -mx9khju8PjEs42470pofs3ZLQuqxxG2RsYWttJ9OJpsMqXYUhlRw/9I+vzEj -nDdl3qzqojwj0zUJUUfR+4h+6H03WTYdAMAWFML8bZ/tG/jEqfYGBSPQCIiK -bm0P3lXagTNFs02q0sJqGZNqWV6KjmLchwAAKCX87ITka439K9fegRZXxfCE -TyWghJ+TlPhXA+Ez3yySqrS4WialWhbr7yjGfQgAAAaKNLf03fNQykVlmesm -jXjzgwM5Ze1MvFtOI6BC3CREDKxXWSLV0mqZl2pZrLmjGPchAAAAAAAAAAAA -AAAAAAAAAAAAAAAAYLUo2kpiVwdxpzhMX37wYZept+qZjWbusCwE0gGwCrAQ -YCHEvLSj/7YrlAgvxW9SoKnvAjIbzdxhWQikA2AVYCHAUqDybnnvqqXr7jru -ylv0zvk3czRzh2UhkA6AVYCFAC1QmQUucbse7F+VTKHsqSWimTssC4F0GI1F -ho9xWJHUIWWhoQRSl3fyj0edhoyIIvWFKRsD3v200ORq11gdndPbQgN9p77F -mbUyrQZ7V17Rfjcro0iAc0IZ2lGecTi/2Zg3FmUNWUtnhAwsn2d8NOzwnKLY -iC3xqUfjN0fE3RBqHddmUth+KOUC7a48uW7eZJv/jXbwiTj+FL/EBy0gHXhQ -62cLDB98YcQps6BUWtaigJVZCDABWeOfG75MobA2QCUvautvb3SaYHq1a6Wk -5vSvl2sRrPTzhaVvO6pr5XQ/TAj5/srAwm+ouCb33D9N0h4XddZUimg5RVZ/ -bqWPDUfrCE1TovXWBl/hvjCrseff5A1nF7iHXG5WMBC2Xy+1XHQ/ilt/8GYT -Im25c/Bj2zc891eaeA4OpAMXKv1skeFDLAwvZRaVSsNaVLA2CwHG05ObEO8I -ykfzG1MZB/djpV2q/QJJxc7Z8w+pa/OgrXkhs8Ox0qAqpLUZoS6OLm49THX3 -3VFOvcwo9r9Z2xMuxszsL9lmSrQe5HVpXHtNWRx+ipe97ymsSAKNsPKm7DVR -t/C7m2oupI3XrjSoJqOue5GO9prq28YyZNNBLthwP1tm+JAJ00uZZaVStxYV -2GghshENmIC8/pS/67Ji7Z5VdJSfjg728f8udnPIR9M5Dt7hGf2n+dN2LGm0 -nov7O0krghMq+ovnoa1/B7oG5bZQtSxxfCn/THRyRTuPVjlRpD4vKdRvzqrU -w7FbQ/2dPUKOlWQf2hm12NtpzqZ8YVvxYjtbzTzQVhAwjmo5UQ0kpQfo5qKX -jtthU97TrR5BDKTDSPD72cLDB1cYQcqsZqRbm4WgmIiZ6ChZ6jTzl+qBQw5t -uew7ziEKW9PI6jI/n2Az70yD6pqWzLHi6qzE5EK9y3TCaPK20jO71wS4jBzu -ENZfLE/8+AcPt2/LqK9/8OMjz9Kij1SK6Ze67irb4GQXgFVlQwXZ/jacsKut -CqWsJtlr4sI83hX/sXYa74qKF9uOnXed3sqSxMl0c4H9Vpi/dv6mQtyC2ZAO -5iDqZ0sOH0Jh+CmzopFuXRaC7yYzIbw+lzPrZJ2Oy7QLzYiKl3DeUe8SkzlW -Vpe+gOMaXqpXUZo4GgYqKtniPN4/W6AaXkhV3Ayn5XTWLjjxW6qORx+vxlZb -tJ1MUuo6/WnRFxPGB6lXWe0Fi8ZTXWXJ6s9+tcAf4z3X0WM9ub0/Loos0p5U -6OZCqRDe2LPxSAX+HXpIBwn96dBCJx39EPezhYcPvjD8lFnTSLcuCxGPaMAU -RDeCHb1+e6azVaHtjc7S1ZPdf3ysuhY3ZheaOFofnXe+9vjwYrMqp5KKnR5T -InXrb9OLf/9BzPue0zx7mcoZ/uooZ4+56+/pDSVcSJycxq854W2n2Z1+njrL -nptOpyi3knSVRS8XaHdlxr4j90W0hwKkgxak/WzJ4UMoDD9l1jTSrcpCcN1k -JpCqWC+3KF1/YN6YdqC3/rSUl+Tjs+eJeuNY8mSXUY7VjYaKG54J+mrgINW/ -f/JN/5W+6OYyF24GHX8Qq1XSLXWt1Hfydi0n1yEvspe4B2LbA0pF0/mgactz -BJSLfvdB4mQ6uUCeX4hPvtXW++GKtvLzl+opP6kH6aCBgX621PAhFYafMmsa -6VZlIfhuMheSp7u9ubr3eHu8YWO7aOvexKT4n9fvOKu+pSkV3L+0z2/MCOdN -mTeruiinECcaKixYM93OJSAq5mh62olcnliz+JM82e09/zCfzqsPBGr7oOdk -FGkoSPQbM8pr71VeS1XuT24jR3MPXOM3P8gMd3h9YljG3XakNT9m7ZaE1GOJ -2yJjC1tpr9LJnEw1F3JBTrjLa8NeUTFsuEfMf9QfIod0UIVCP1tm+JAKI0qZ -FY10q7IQfDeZDYUwf9tn+wY+JKl9TW06NKKholvbg3eVdtDaqGJWrSUxfy7o -BRzi6aACq4aPkjRlrJJKaq2hZSGABAk/OyH5WmP/iqrXG3FVTDqWSjQJPycp -8a8Gqs9D045vDZg5F3QCQjqowZbhozScMrZINaBzyFkIIAFFmlv6NoWVclFZ -5rpJI9784EBOWbvJmyQ0oinETUKE7q19ZtWyArPlgl5ASAd12DB8lNRSxgap -pDqHqIUAAAAAAAAAAAAAAAAAAAAAAAAAAACYQdFWErs6iDvFYfrygw+7TD1q -hNlo5g4LsBNwEQAMecS8tKP/tiuUCC/Fb1KgqS/PMRvN3GEBdgIuAgAAlXfL -e1eQXXfXcVfeMrG2ArPRzB0WYCfgIgAwM6jMajYOuh7sX5VMoRioJaKZO6yJ -WFGWrYsh5SIAIALtrjy5bt5km/+NdvCJOP4Uv+SCEqnLO/nHo05DkxGK1Bem -bAx499NCBgrpiKtPbwsN9J36FmfWyrQa7DVxRfvdrIwiAZ3z3UgbiHaUZxzO -bzbmFT9ZQ9bSGSEDzvUyIRp2pExRbMSW+NSj8Zsj4m4ItQ4xMymsJghbs4wv -zHCiKUml1mo6MORJNVbmIgAYRLofxa0/eLMJkbbcOfix7Rue+yv1zwqRNf65 -4csUCisuVPKitv72RqcJDFRzltSc/vVyLYJVPb6w9G1HdS2Y7ocJId9f0Sts -RgxhA1FxTe65f5qkPSO6s6ZSRGvUyurPrfSx4WidOWlKtN6K2SvcF2Y19vyb -vOHsAveQy80KBsJqYG2WiYWRJZqiVCqtpgVTnlRhbS4CgEFE2njtSoNqxHbd -i3S011Qo1tDj+BDvCMqn0htT+QUPhbRLtWckqdg5e/4hde0ZtDUvZHY4VhWT -EkQNlNZmhLo4urj1MNXdd0c59dKu2P9mbU+4GDOzv8aZKdF6kNelce01dWT4 -KV72vqew6gEmhu0XzNYskwkjTDRVqRRaTROGPKmSZ20uAgBL0XE7bMp7usfo -K+X1p/xdlxVrzwSKjvLT0cE+/t/Fbg75aDrHwTs8o/8ge9qzFmk0paL9TtKK -4ISK/iplaOvfga5BuS26EwF5HOIG0lUl5Z+JTq5o59Gqv4nU5yWF+s1ZlXo4 -dmuov7NHyLGS7EM7oxZ7O83ZlC9sK15sZ6uZOdsKAsZRrb9JH1ZmGVcYQaLp -SiVptZFqmfCklbsIAAYPVJi/dv6mQr2iwh0lS51m/lI9cFSjLZd9xzlEYStF -WV3m5xNs5p1pUO0UkM1a4uqsxORCvc0PwmjyttIzu9cEuIwc7hDWX5VM/PgH -D7dvy/SXfySqSBpI2CG40ZBnadFHKsX0a0N3lW1wsgvAypihgmx/G07Y1VaF -UlaT7DVxYR7viv9YO808IipebDt23nUG7tjhNIqFWSYUhp9oulJJWm2MWkY8 -aeUuAoDBQyG8sWfjkQqcu8XC63M5s07W6Yxd7RorouIlnHfUe+9ks5asLn0B -xzW8VK+YMnE0DFRUssV5vH+2QCUOqYqb4bQcb0VIEoe4gYTgRGupOh59vBpb -+dKeVUhqQ6c/Lfpiwvgg9Yq3vWDReKorXln92a8W+OuwKLII/xuYtVnGF4af -aLpSyVNvCU9auYsAYNBAuysz9h25L8J1ouhGsKPXb890dkO0R1xn6erJ7j8+ -Vu1wGHMngjhaH513vvb48GKzSp+kYqfHlEjd+tJkcUgbSEPV/Qcx73tO8+xl -Kmf4q6OcPeauv6c3reFCMquk8WtOeNtp7hQ8T51lz02nUwidEqzNMqEw/ETT -k2pc6kkCqjHek1btIgAYPJDnF+KTb7X1PtGjaCs/f6l+wNNMSFWsl1uU7qjD -Rty0A72loKW8JB+fPU/U2/GSJ7uMmrV0o6HihmeCvjIvSPXvn3zTv38iurnM -hZuBN+rwVRloIC1VGujVhlbqzyrbtWaVOuRF9hL3QGyrRqloOh80bXmOgHIp -bGqwNMukwvATTUeqsaknCMicJ1VYm4sAYNCQC3LCXV4b9oqKYcM9Yv7TGb6S -p7u9ubq3kXtGnI3toq17E5Pif16/46z6RrFUcP/SPr8xI5w3Zd6s6qI8MHCi -ocKCNdPtXAKiYo6mp53I5Yk1C1/Jk93e8w/z8V4owYlDoYE0VPVDb1ZBkYaC -RL8xo7z2XuW1VOX+5DZyNPfANX7zg8xwh9cnhmXcbUda82PWbklIPZa4LTK2 -sJXZ5S5rs0wqjCjRVKWakHr8gEx5sh+rchEAsA2FMH/bZ/sGPnqqvVNhOjSi -oaJb24N3lXbg7tFYTNVLAKuyrCRNtPml0gs4iJ4EAGAAEn52QvK1xv6lau+I -i6tictaiEk3Cz0lK/KuB6FFgC6l6WWBLlpUGE21uqXQCDqonAQDQBUWaW/q2 -2pVyUVnmukkj3vzgQE5Zu8n7BjSiKcRNQoTorrbFVL1MsCHLSgOJNrdUegEH -0ZMAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8LKgaCuJXR3EneIwffnBh12MnSNj -prBDCmb7EBINAID1IOalHf23XaFEeCl+kwLzhOwOO6Rgtg8h0QAAWBGovFve -u9jturuOu/IWU1UPzBR2SMFsH0KiAcDMoDLYOGCergf7VyVTqEvLjrAmYl0W -YrYPh1SiAYAItLvy5Lp5k23+N9rBJ+L4U4IiEkhd3sk/HnUami9QpL4wZWPA -u58WMlA3Rlx9eltooO/UtzizVqbVYC/WK9rvZmUUCfCOLaOjk1qTzS2VBFlD -1tIZIQOOWUM7yjMO5zcb9/6mQlgUG7ElPvVo/OaIuBtCrRPwTAqrCcJWC+EL -My41+inWfIrxfWhliQaAQaT7Udz6gzebEGnLnYMf277hub9S/3QVWeOfG75M -obDiQiUvautvb3SawEBNdknN6V8v1/aIkTddWPq2o7p6TvfDhJDvr+iVgqOj -k0qTzS2VDFn9uZU+NhytI0BRcU3uuX+apD2TT2dNpYhmREXzpRXuC7Mae/5N -3nB2gXvI5WYFA2E1sNZCxMJop4Ygxab1obUlGgAGEWnjtSsNqhHbdS/S0V5T -01lDj+NDvCMon+NvTGUfPBTSLtW2jqRi5+z5h9QFe9DWvJDZ4VgdUSN1Umiy -uaWSyqvN2p5wMWZmf8k5aW1GqIuji1sPU919d5TrF1clRV6XxrXXlPXhp3jZ -+57CijnQCCtvyl4TdYugZ1lrITJhdFNDkGJTUsPGRAMAK+m4HTblPd3aA0p5 -/Sl/12XF2vOKoqP8dHSwj/93sZtDPprOcfAOz+g/+p/2xEIaTalov5O0Ijih -or+uG9r6d6BrUG6LzrRCVydJk80tlSSOlH8mOrminUerHCpSn5cU6jdnVerh -2K2h/s4eIcdKsg/tjFrs7TRnU76wrXixna1mWm4rCBhHtRyqBnntiQ+DqDzg -xUoL4Qqjn5re3+ql2Fhh7Ew0ALAQVJi/dv6mQr0yzB0lS51m/lI9cLpBWy77 -jnOIwtadsrrMzyfYzDvToNopIJtYxNVZicmFelsphNHkbaVndq8JcBk53CGs -v46b+PEPHm7fluks/+jqJGmyuaUSxkGepUUfqRTTL9XdVbbByS4AqyqHCrL9 -bThhV1sVSllNstfEhXm8K/5j7TSTlKh4se3YedfpXZNQ/G5io4UIhdFMjZIo -xYb6xKoSDQCsQyG8sWfjkQqc29jC63M5s07W6QxF7ao0ouIlnHc0O/AkE4us -Ln0BxzW8VK/8NHE0DFRUssV5vH+2QCUOqYqb4bRcd0VIVydJk80tlSBOS9Xx -6OPV2LKa9pRFUqo7/WnRFxPGB6mX0+0Fi8ZTXU7L6s9+tcAf4z3X0WM9ub0/ -Looswv0yZ6+F8IXRSg1Jig1hXYnWgjDRADBooN2VGfuO3BfhOlF0I9jR67dn -Ots02iOus3T1ZPcfH6v2OYy5WUAcrY/OO197fHixWaVPUrHTY0qkblFuejpJ -m2xuqfhx7j+Ied9zmmcvUznDXx3l7DF3/T29SRgXkikrjV9zwttOcxvieeos -e246XvFwEgxfN7HWQoTC6KSGLMX0hbE40QDAJpDnF+KTb7X1PtGjaCs/f6l+ -wGNWSFWsl1uU7hjGRty0A70lrqW8JB+fPU/Um/KSJ7uMmlh0o6HihmeCvsI4 -SPXvn3zTv4siurnMhZuhO+ro6DTQZHNLJRamgl6pbqX+lLVda8qqQ15kL3EP -xPaBlIqm80HTlucIKNdR78PQdxNLLUQqjF5qiFNsnDAVbEs0ALAGuSAn3OW1 -Ya+oGDbcI+Y/nXla8nS3N1f3/nbPiLOxXbR1b2JS/M/rd5xV3y6WCu5f2uc3 -ZoTzpsybVV2UBwZONFRYsGa6nUtAVMzR9LQTuTyxZpkqebLbe/5hvt7rKVR1 -UmiyuaXix+mH3pSFIg0FiX5jRnntvcprqcr9yW3kaO6Ba/zmB5nhDq9PDMu4 -24605ses3ZKQeixxW2RsYSvttTTpdxNrLUQqjF5qiFNsjLB+2JZoALAqFML8 -bZ/tG/joqfZOhenQiIaKbm0P3lXagTM5mF8nvYAkUs0gjNWwykLKQU3N0Eo0 -AAwyEn52QvK1xv6Fb++Ii6ticvxSiSbh5yQl/tVA+My3mXXSCWhAKuPC2A5b -LKQc5NQMuUQDwCCDIs0tfRvuSrmoLHPdpBFvfnAgp6zd5H0DGtEU4iYhYmA7 -xWw6GZTKuDDrgA0WUg5qaoZoogEAAAAAAAAAAAAAAAAAAAAAAAAAAKwJRVtJ -7Oog7hSH6csPPuwy9UATNkczd1gr5SXojZegCUzxcnTFy9EKwDTEvLT/s3f2 -UVHUYd/PvzphPWVFabXdgeDyooCaR7wBSankFnuj5z6hYedYpJG8RFYWWk9H -D8cQQSioDoj3Q+AGiJ2SI0j5aBEqIKEgKkiAECwQ4LILy+7s7sw+7LIL+zIz -OzM7y+zA9fmL09q13+u6vr/Zmd/OznX8LymqRbry1i+NoPJcar5Gc3RYnjIH -qjEHUmCLuVGKuZEFYCeYZkKjPy+RX00Iiqm38/H7zhzN0WF5yhyoxhxIgS3m -RinmRhYAS8ivH343l8IMU/5Hc3RYO8HU3GxhOGc1aOGcKXDSUOcsBV3mRhaA -TbCJ9sKEjctc71/kFry74LbpeAFsrEV0rHqY1g8JFZ3Fe7dHhPg8JVgTU9Rt -+hN5JtEMqPvLolZGmz2LzI5ouufqXEzf/fHR/zl+9KPdGZckJk9ysyvsdBDi -kpqA9J0v/OnmuK0jFIaIa/KSwp99tYa9+Tzm9USlV8tEF4dwnjdnqxqUUqBW -DTpYe4x5CpRw3oayWQqOummALU8Cc4aJmxmJObWDiGqkIeflxQ/6H243fJ5g -iu6qU38MqiZ9Mt7dLqPmBWV38TdnexHdaO/TUU+7z0zDYRTNgFp8KibYVWDy -nEx7ounHhr+5/L/KBib/N03/yU3Lo88OoyyEnYawpKY5DfzywVt5FM79MOW/ -veIrSR5L7B9cPv3eVvXUTtzIjP7snPkYP1vVoJgClWrQgsBjTFKgiNM2lMVS -cNVN49uz40lgDqEauHCu32Av+bU49ycNg55VvaLtQneh7yQ+y0P2t1jPDMUF -VckNWxXK1gNrw74zDPJhGM3w/5btyzyTtmpmLps90SbR9BUFPTk9+6Ynb/WT -IT/q5ifQCKsZLN8VX0/wSGmikpow+ekYHbib8rwEJkOOCLGupw7s7vnotbG6 -ka3T/4y8GlRToFANmhB4jH4KJvC0oayVgrtuGuSx4kkTSBsKOBnoWEtxcmRw -6KfpH0W/GCBwC4wVmT/EXzt2ZYf3OsvxBoyiodKG7DcjM1sVJBGoRVP1lCTn -tkq7aM0MRcTns7ev/893/+dY+ifbQz39ov9vXfl3B+L/O9DjP/dUS0Yv//cT -i6fX1Oif4Y9RnRk6DcXB5UQl1Yh/DPXaetk0HdJ60j6UMagndve3CK8tVSMU -92jopqCHjsFsBrT2GM0UzNLhbUP1r9pbCm67yZYnzTKi2lDAKcBGzoY85hav -OxFR95W+vsR1Y0n/zFUxJql+P2xPDeXZzITRNKONJSm7woUPuLjtoDyXDT8a -cqcoOb9dQX+etbz5A48nwnWj17Ch8lBXwY7/dxfVqrtzV//Hf53vOhf6yBPT -n0ayy/+9+JGNv9M7haXofKKSjtVFeaz6utN8VZN0h+xQpugsy8qtGbEsM/16 -Km597uf7YTPFi1C6KZBUg3YWWiKP0UvBFL42VMtOKbjsJnueNAU+m3iG6XwZ -2eU3BM/MfB+ESi4dSspvpfPVJkk0rW5sTt3Hno+Hlg8xmGdtiDbSUZBc0Kk7 -t6L92UQyz/rE7Yv/e8njW4zXTdI/Nz9O9bpJLT759qZQHeu8Fj3iH6T/c3Pc -RfzPc+KSSn7fIFhT2GexdonrSXIoU/ed2CTwim20GvNNu55IR8ZKj21ULyDp -pkBuMDpZkHiMXgpa3jeUtVJw1002Paml21DAeTD1xnjjzmXLv7il3wbAJtpF -qflNMnoNJIpmZLzhHb8Xzgwz+GyaitZ0Pe05/xX+enwELvc+5Om3IfGaleFx -IflsKurp/iHwienvm/75nzVPBp3Am9dNgu2zMtKSyi5Fuq/+9o7FbghxPZl8 -PUG7nsrWA37ecZbT1ImglwIzg5EENGLuMXopmMLLhrJXCs66yaonTYHrJp6h -88aKI/ph1aqu7ODgQ226Exbkn9NHc+tH9beqoaMtP1eKqd16gxcNU/TfGZoa -mIN0fv/Ke5T39Ai0GaA3z1pr/dm0z+SzqQ/5t/yN5RG6DT8tOvjzlhXbKoYo -zwOfwpbzbZQU6Uhf7RtvueSIK6BsO8joUEarnrLarcIgEdUPaTopMDUYQUBi -j9FLwRSeNpStUnDYzWns96Qp8NnEMya94bp48ydfZWUf/TJx/0ndV5GaoYpY -4X0L7jGwwMUv7W+KXsOJhkn+3BXwhDA8Pu34iaIfqroU1E+tcKLNQO+zCUP6 -/8xa//BDq7/6f10jHVX/x/eBRUFHLvQMXy+Ndftf/7FDdFWK3K1Oe//jzP/5 -v1l749Jr7tL2PqnzKZRUeTslMMjya2SCCqiGmipT1z+80HNPaW2HnPKHKN16 -KttSAsOO9eD8oAQfqinYYTD8gMQeo5uCCfxsKHul4KybM7DgSRPgs4lnmF5T -z+1ozg4qqd77Wqr5TbBc1hOT1e+LPNg4RmObxvEp0AvIIAUWcaqGzoFuarlu -KDC76L2R0cHmYnHSaDxA2VOemXthYOZUlbt6KnsqsrN+7ad6N7DJ/+fQFOgE -ZJoCizhLQ+dAN7VO0VBgttDImksTli589PkjFc1Su39Q7czReAOGDI9MfVvA -aT1RxaAEYXh26rAU6AW0JwUWcYaGzoFuap2moQAAAAAAAAAAAAAAAAAAAAAA -AAAAALMEOlqXvnNLkLdbwLacG3Jefl06B1JwKHOgPnMgBQAA6KDoKjr+lxTV -Il1565dG8PLXdXMgBYcyB+ozB1IAAIAWmGZCoz8NlV9NCIqppzfbwjmYAyk4 -lDlQnzmQAgDwHEzNzYaF/Prhd3MpjBl1YmY/Ba6axQxoMQDME7CJ9sKEjctc -71/kFry74DbBQAyk73zhTzfHbR3FMERck5cU/uyrNfbPY8UXhkqvlokuDuE8 -TgsbaxEdqx4m/AUftRQUncV7t0eE+DwlWBNT1M3Sz9/V/WVRK6ONjwVjngJF -eNAs2qGmXoIWA8B8YeJmRmJO7SCiGmnIeXnxg/6H260Xq3rglw/eyqNwpocp -/+0VX0nyWMLCaGliYRM3MqM/O2c+pQxTdFed+mNQNXlYGO9ul1ktfYopKLuL -vznbi+jGN5+OetrdbBoOY9TiUzHBrgLTR1YySYHquzl/s5iFghYDwDxCNXDh -XL9h8cuvxbk/OT2XfBp0uDI6cDflWRRMxtDQFIbdPR+9NlY3KtP4j3tF24Xu -Qt9JfJaH7G+xnIlJOQVUJTfscClbD6wN+85yeg2TRHrL9mWeSVtlPiKNdgoU -4UGzmIWCFgPAvGXsyg7vdZbPxNdqxD+Gem29bLro0bGW4uTI4NBP0z+KfjFA -4BYYK5p5tD3twx1pNHxh2N3fIry2VI1QPN7RTUGLShuy34zMbFVYx6KZgqqn -JDm3VdplNb6TZgoU4VOzGIQiZv60GADmG5ik+v2wPTVWg4rH6qI8Vn3daX6A -wEbOhjzmFq87KVT3lb6+xHVjSb9hh4LscKfoLMvKrbHa4CGJRiBMcetzP98P -mymeedJLQTPaWJKyK1z4gIvbDusxiLRSQO4UJee3K3BHS9NLgSL8ahb9UCwl -zucWA8D8ApVcOpSU34pzJ4Tk9w2CNYV9FivVdOqK7PIbgmem9+1JDnfqvhOb -BF6xjVY7/MTRCIQhHRkrPaZG2FKAbgo6MFndx56Ph5YPmb8xnRRGOgqSCzp1 -J9d4By56KejeWnzy7U2hFmyOu2h68OZZs2iHImT+tBgA5hHYRLsoNb9JhrsC -ZJci3Vd/a7krb7pOxxt3Llv+xS3D7giTrzCIohEKU7Ye8POOs5wXTQTdFKYY -b3jH74UzwxQPC9bRmq6nPee/wl+Pj8Dl3oc8/TYkXps+4tFLgSI8axbtUITM -nxYDwLwB+ef00dz6Uf0caHS05edKsdmdekhH+mrfeMsFplunK47oRy+rurKD -gw+1GbfylW0HGR3urKORCJPVbhUGicQUb3SingKm6L8zNDUiBun8/pX3rDd8 -6KVgAG98PL0UKMKzZtEOxULifG8xAMwPNEMVscL7FtxjYIGLX9rfFkcC5e2U -wCDLb6Qn16nr4s2ffJWVffTLxP0njV8yq4aaKlPXP7zQc09pbYccpaoCJxqp -MGVbSmDYsR7Kv5uhmgIm+XNXwBPC8Pi04yeKfqjqUlA/cScoyBQ4By66KVCE -X82iG4qFxPnfYgAADKCS6r2vpZrf8mq6v2E/9KJhsvp9kQcbx2hsws+BFCjC -q0zZFMarxAEAYAdlT3lm7oWBmbNS/TrN6GBz1VOMpuypyM76tZ/2r1LmQAoU -4U+m7ArjUeIAALAGhgyPTG3TazWy5tKEpQsfff5IRbPU7t10etFQxaAEYXgu -OgdSoAgfMmVXmAE+JA4AAAAAAAAAAAAAAAAAAAAAAAAAAADMe9DRuvSdW4K8 -3QK25dyQ2/sFM7vRAMAmYDkAmIsouoqO/yVFtUhX3vqlEeclzhQNAGwClgOA -OQmmmdDozzXlVxOCYuqpPzhzFqIBgE3AcgAwK2BqbnYl5NcPv5tLYZwrF9Hm -GFy1mC580TkFWA4AaIL0nS/86ea4rXWOIeKavKTwZ1+tsXuE9zTq/rKoldHG -p5Ch0qtlootDOA8gw8ZaRMeqh+n8ghKbaC9M2LjM9f5FbsG7C26bDluwFY1S -QUjiM0TRWbx3e0SIz1OCNTFF3brHDxAXhCZctJhJOjywIpkssBwAsIZ64JcP -3sqjcDqHKf/tFV9J8lhi/wjv6fcWn4oJdhWYPiFz4kZm9GfnzOe6YYruqlN/ -DKomF854d7uM2gfUxM2MxJzaQUQ10pDz8uIH/Q+3I9SiUSwIYXymKLuLvznb -OxlEM3g66ml346QhvILQhJMWM0iHB1YkBSwHAKyBDldGB+42f7I/CUzG/RCi -6i3bl3kmbZX5RDbs7vnotbG64aLT/0y0Xegu9J3EZ3nI/hZqU0RVAxfO9RuW -rvxanPuTL9VIqUSjWhCi+MxBVXLDFpWy9cDasO+Ms4isCoKDZrB8V3w9vmiO -Wkw7HR5Y0UaQeWU5AHAoGvGPoV5bL5suC3SspTg5Mjj00/SPol8MELgFxopm -hgHQPiAQR1P1lCTntkq7rKaFYnd/i/DaUjVCdWGQCtYzdmWH9zrL8Qn40C0I -3fi2A6LShuw3IzNbZ2bgUSiIpveHF7bg3wHGYYtppcMnK4LlAMDBjNVFeaz6 -utPc4tjI2ZDH3OJ1p03qvtLXl7huLOk3XN+THRAUnWVZuTVWOwH40ZA7Rcn5 -7QrcSdaKW5/7+X7YTO36yIZg3auS6vfD9tRQG2tNtyA24tOqySSa0caSlF3h -wgdc3HbMzLyzXRCSzybOWkwzHX5ZESwHAA5F8vsGwZrCPgsjm86pkV1+Q/CM -cSOa7ICg7juxSeAV2zhu+QJOtJGOguSCTt2JG94BAenIWOmxrY7GvbbEgrWo -5NKhpPxWql8b0y0IeXw6NTH5N5is7mPPx0PLhwxBCQuiFp98e1OojnVeix7x -D9L/uTnuoulBi6MW006HZ1YEy5lgYTkAsB/ZpUj31d/esdgaMLXxeOPOZcu/ -uGW43GeyyW8drel62nP+K/z1+Ahc7n3I029D4rXplaJsPeDnHWc5XpveW0wJ -xibaRan5TTLq64ZeQejHtxHQyHjDO34vnBk2xLVdEJLrJm5aTD8dnllx3lsO -ABwK0pG+2jfe0oI6G684op+ErerKDg4+1Gbcm1a2HWR0QMCPpsWdZK2V1W4V -BonENG4Twn8L5J/TR3PrR/WzxtHRlp8rxbZva6JTECbxSQJiiv47Q1Mzf5DO -7195b2aDxXZBSD6buGox3XR4ZsV5bzkAcCzK2ymBQZbfqU7a2HXx5k++yso+ -+mXi/pPGb01VQ02VqesfXui5p7S2Q45SfQuCaFPgHBCUbSmBYcd66PzAAuct -NEMVscL7FtxjYIGLX9rfVNYx1YIwjU8YEJP8uSvgCWF4fNrxE0U/VHUpps+M -KRSE5LOJoxbTT4dfVpz3lgMAB4NKqve+lmp+X6vp5b/90IuGyer3RR5sHKO1 -Z8GmYMcXhF5ARgUxw6laTJKOU+nU2qg8WA4AHI6ypzwz98LAzHmb3sYZHWwe -EChGU/ZUZGf92k/11lgmb0FJhUMLQicgw4JYh3GOFttKx1l0am1KBcsBwGyA -IcMjU/vOWo2suTRh6cJHnz9S0Sy1e7+ZXjRUMShB6J6tsSvYgMMKQi8go4Lg -4wwtppKOM+i0JRUsBwAAAAAAAAAAAAAAAAAAAAAAAAAAANgBOlqXvnNLkLdb -wLacG3J7v6NlNxoAUAFcBwBzDkVX0fG/pKgW6cpbvzSC4NelHEUDACqA6wBg -7oFpJjT6E0351YSgmHoaz391fDQAoAK4DgBmBUzNwa6E/Prhd3MpTETlItrc -g5MWM4AvOqcA1wEATZC+84U/3Ry3tc4xRFyTlxT+7Ks1LAwbVXQW790eEeLz -lGBNTFG37tfqqPRqmejiEM4zvLCxFtGx6mE6P0LEJtoLEzYuc71/kVvw7oLb -pvMEbEWjVA2S+Pah7i+LWhltfKobcU1o4uwt5lKnARYqD64DAPZQD/zywVt5 -FE7nMOW/veIrSR5LWBiErewu/uZsL6IbJn466ml34yiZiRuZ0Z+dM5+Lhim6 -q079MaiaXDLj3e0yah9QEzczEnNqBxHVSEPOy4sf9D/cjlCLRrEahPHtRC0+ -FRPsKjB94iheTehGdfIWc6rT+N4sVB5cBwCsgQ5XRgfuNh8MQAKToTm4b6uS -G7ZjlK0H1oZ9Z5xeg909H702Vjec04CqV7Rd6C70ncRnecj+FmqDOFUDF871 -G9at/Fqc+5Mv1UipRKNaDaL4dqLqLduXeSZtlfmEO6ua4KAZLN8VX4+v29lb -zLFOPcwrbxpkvrkOAByHRvxjqNfWy6bLAh1rKU6ODA79NP2j6BcDBG6BsaKZ -WQK0Dwik0bSotCH7zcjM1pkhZ9jd3yK8tlSNUF0S5PF1jF3Z4b3OcgIBPnSr -QTc+eUBVT0lybqu0y2r6KoWakMzI4EuLOdRJu/LgOgBwMGN1UR6rvu40tzg2 -cjbkMbd43TmTuq/09SWuG0v6DRf3ZAcERWdZVm6N1TYAYTTNaGNJyq5w4QMu -bjtmhpopbn3u5/thM7XrIxtqda9Kqt8P21NDbWI03WrYiE+rIMidouT8dgXu -ZHDbNSH5bOJLiznTyajy4DoAcCiS3zcI1hT2WRjZdNSL7PIbgmeMXxaQHRDU -fSc2CbxiG8ctXyCOpgOT1X3s+Xho+ZBhnSEdGSs9ttXRuNGWJD4quXQoKb+V -6nfGdKtBHp9OQUY6CpILOnVnsnhHCcKaqMUn394UqmOd16JH/IP0f26Ou2h6 -0OJLiznSybDy4DoLLFwHAHYiuxTpvvrbOxZbA6Y2Hm/cuWz5F7cMWzJMNvmJ -o00x3vCO3wtnhg3GVrYe8POOs5xQzSQ+NtEuSs1vklFfMfSqQT8+YcCm62nP -+a/w1+MjcLn3IU+/DYnXpg8vtmtCct3ElxZzo5Nx5cF1AOBIkI701b7xlv7T -2XjFEf28Z1VXdnDwoTbjZrey7SCjA4JlNEzRf2doakoM0vn9K+/NbPjIarcK -g0RiGjcI4atF/jl9NLd+VD+uGx1t+blSbPueJjrVYBKfNKABnMngFGpC8tnE -lxZzpXMaepUH1wGAQ1HeTgkMsvxOddLGros3f/JVVvbRLxP3nzR+DasaaqpM -Xf/wQs89pbUdcpTqW+BEwyR/7gp4Qhgen3b8RNEPVV2K6bNAZVtKYNixHjo/ -rcCJrxmqiBXet+AeAwtc/NL+prKIqVaDaXzCgDPgHCUo1ITks4k3LeZG5wz0 -Kg+uAwDHgkqq976Wan5fq+nlv/3QiIbJ6vdFHmwco7VhwaZax1eDdkBGNTGD -Ly12Kp1aG5UH1wGAw1H2lGfmXhiYOW/T2zijg80DApVoyp6K7Kxf+6neF0s7 -PjUcXA2aARnWxDoMP1rsLDq1NqWC6wBgNsCQ4ZGp7wa0GllzacLShY8+f6Si -WWr3ZjONaKhiUILQPU9jV60Bh1WDdkBGNcGHLy12Bp22pILrAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAA5i7oaF36zi1B3m4B23JuyO29i4LdaAAAAMC8RNFV -dPwvKapFuvLWL40g+Ak4R9EAAACA+QmmmdDoL2/kVxOCYuppPKfZ8dEAwBxM -zY9Lcb7oBDgHrGIT+fXD7+ZSGFvMRTSAz6j7y6JWRhON30T6zhf+dHPc1vrE -EHFNXlL4s6/WsDCQVNFZvHd7RIjPU4I1MUXdul+0o9KrZaKLQyQP+eJCpwHz -ArIkFZtoL0zYuMz1/kVuwbsLblMdvECCw6rKvlQDdAtLkTllac6Lj421iI5V -D9P6pbB1NeyJBsxR1OJTMcGugijczyb1wC8fvJVH4RwGU/7bK76S5LGEhWHZ -yu7ib872IrqB46ejnnY3zq+ZuJEZ/dk5q9lp3Ok0vrd1AVmQOnEzIzGndhBR -jTTkvLz4Qf/D7XY+xcZxVWVdqvHt6RWWatS5ZWmOi48puqtO/TGomvzwGu9u -l1FrDEE1GEYD5iiq3rJ9mWfSVlnOF9ODDldGB+4muqCygslgHTxQldywjaJs -PbA27DvjhBvs7vnotbG6AZ7OoVMPfgHtlqoauHCu33CUkV+Lc3/ypRqpfUId -VlX2pU6FpVdYisw1S3NbfFWvaLvQXeg7ic/ykP0tFEflElSDYTRgTqLqKUnO -bZV2Wc++1KER/xjqtfWy6X9Hx1qKkyODQz9N/yj6xQCBW2CsaOaZ+7QXMmk0 -LSptyH4zMrN1Zlgddve3CK8tVSMWK5lDnYQFZEmqnrErO7zXWY5SYKJW/6qj -qsquVLqFpchctbQe5ys+3WoAwBTInaLk/HYF7lxmHWN1UR6rvu409zo2cjbk -Mbd43cmTuq/09SWuG0v6DdfeZAtZ0VmWlVtjtXtBGE0z2liSsitc+ICL246Z -4XSKW5/7+X7YbHFCxZlOsgKyI1X3qqT6/bA9Nbhzr52pqmxKpV9YisxVS2ud -tfg0qwEAkyg7CpILOnVnMUSfTZLfNwjWFPZZ+MZ0HIzs8huCZ6a3i0kWsrrv -xCaBV2zjuOULxNF0YLK6jz0fDy0fMiw4pCNjpce2Oou7SznSOUJaQHakalHJ -pUNJ+a3433A7VVXZk8qksLq3EJ98e1OoBZvjLpoereeqpTkvPiH0qmEDKi0G -eI/ydtpz/iv89fgIXO59yNNvQ+I1M/fKLkW6r/72jsUeganZxht3Llv+xS3D -RTmTzXniaFOMN7zj98KZYYP3lK0H/LzjLKdYc6Oz6TppAdmQik20i1Lzm2S0 -V97sV5VFqYwKS5G5aWlnLj69agCAGThzmfUgHemrfeMtjagz24oj+pnQqq7s -4OBDbcYdZGXbQUYL2TIapui/MzQ1Rgbp/P6V92Yu+WW1W4VBIrHF6SRXOqfB -K6D9UpF/Th/NrR/Vzx1HR1t+rhRTvgNrtqvKstRpqBeWInPR0s5dfHrVAAAz -iD6bJq+tUgKDLL9cnTSb6+LNn3yVlX30y8T9J43fbaqGmipT1z+80HNPaW2H -HKX63jjRMMmfuwKeEIbHpx0/UfRDVZdi+pxK2ZYSGHasx+o3FtzonAGngPZK -1QxVxArvW3CPgQUufml/U785eFaryrrUGWgUliJzzdJOX3xa1QAAqqCS6r2v -pZrfzGl6kW4/NKJhsvp9kQcbx3Cc7FQ6tRxLpReQR1K1pGop4lRWmQfFZ10z -ABhQ9pRn5l4YmDmB05sto4PNhUwlmrKnIjvr137CG2SdRaeWc6l0AvJIqta2 -Woo4i1XmRfFZ1wwAM2DI8MjU7rBWI2suTVi68NHnj1Q0S+3eJKYRDVUMShAb -J2zOoJNrqfQC8kgqRbUUcQarzIPis64ZAAAAAAAAAAAAAAAAAAAAAAAAAAAA -cHrQ0br0nVuCvN0CtuXckNv7NT+70QCuAFcAAMApiq6i439JUS3Slbd+acR5 -iTNFA7gCXAEAALdgmgmN/kRWfjUhKKaexhM0HR8N4ApwBQDQBFPzZkeAR1In -kV8//G4uhUmsXESjAl+qzRedU/DdFQBgB0jf+cKfbo7bWrEYIq7JSwp/9tUa -+2fFYhPthQkbl7nev8gteHfBbcND/VHp1TLRxSGSB3VxINWIur8samW08cFi -tqXiycLNeuqlsRbRsephWr9MVHQW790eEeLzlGBNTFG36W/umUTDgYtqWycF -rnAuVwDA7KAe+OWDt/IonEphyn97xVeSPJawMJx64mZGYk7tIKIaach5efGD -/ofbjWto4kZm9GfnrOafcSfV+N7iUzHBrgLTh16SScWFMGtM0V116o9B1eTB -bby7XUYtorK7+JuzvZMRNIOno552nxmIwyiaNZxUmyApcIWzuAIAZgl0uDI6 -cDfOw8fxYTLIBgfVwIVz/YYVKL8W5/7kSzVS42vY3fPRa2N1EzKdQqpBcG/Z -vswzaavMh6wRSiUIQpC1qle0Xegu9J3EZ3nI/haK40RRldywOaVsPbA27DvD -mB+G0ayic1NtgqTAFc7hCgCYLTTiH0O9tl42XdnoWEtxcmRw6KfpH0W/GCBw -C4wVzTw0n/bSJo2mZ+zKDu91pmMAsLu/RXhtqRqxWNscSlX1lCTntkq7rAaA -EkhlkjUjYfpXpQ3Zb0ZmtipIItCHY2NYJwWuoBXNMa4AgFljrC7KY9XXneaL -ARs5G/KYW7zuzE/dV/r6EteNJf2GLQCypa3oLMvKrbHazCCJpntVUv1+2J4a -s2nKiluf+/l+2GxxaseZVOROUXJ+uwJ3ODW+VEZZk0EYTTPaWJKyK1z4gIvb -DlZHs3FpDPykwBWUoznMFQAwa0h+3yBYU9hnYV/TYSuyy28InpnetSZZ2uq+ -E5sEXrGN45YvEEfTopJLh5LyWyfMVyPSkbHSY1udxX2uHEkd6ShILujUnZDi -HYXwpTLKmhSSaFrdRJ26jz0fDy0fohZRLT759qZQCzbHXTQ9KHJsDJykwBV0 -omkd4goAmDVklyLdV397x2ITwdTz4407ly3/4pZhb4DJdj1RNGyiXZSa3ySz -8r6y9YCfd5zlJGpupDZdT3vOf4W/Hh+By70PefptSLw2fQTAl8ooa5rCbpnt -1ow3vOP3wplh9g4jXBrDiHlS4ArK0Yyw7goAmDWQjvTVvvGWq0jn+RVH9EOd -VV3ZwcGH2owb2cq2g4yWtnU05J/TR3PrR/UjrtHRlp8rxdN3u8pqtwqDRGKL -c2HupBrAm1mPL5VR1rSFYYr+O0NTs3SQzu9feY/V3Ruuqk2cFLiCUjSHugIA -Zg/l7ZTAIMtvXyc977p48ydfZWUf/TJx/0njV6yqoabK1PUPL/TcU1rbIUep -vgVONM1QRazwvgX3GFjg4pf29/RyVLalBIYd67H6jQg3UmfAOQoRSWWQNW1h -mOTPXQFPCMPj046fKPqhqkvB7ukxN9UmTgpcQSmag10BALMHKqne+1qq+T2l -pnsF9kMvGiar3xd5sHEMZ03xSCq3wljBqaoNrnB8NABwOpQ95Zm5FwZmTj31 -ns/oYHMFUYym7KnIzvq1n/AmWv5I5U4YezhLtcEVsxENAJwRDBkemdqk1mpk -zaUJSxc++vyRimap3XvV9KKhikEJYmMXgg9SuRTGLs5QbXCF46MBAAAAAAAA -AAAAAAAAAAAAAAAAAAAAsws6Wpe+c0uQt1vAtpwb8nn0g415mzjAIeA6AKCG -oqvo+F9SVIt05a1fGnFewrWeWWPeJg5wCLgOACiCaSY0+rM3+dWEoJh6nCdo -zlHmbeIAh4DrAN6Cqbm5zpdfP/xuLoXxpnOO2U+cqxYzgEdS+cW8XW6AM4H0 -nS/86ea4rUWOIeKavKTwZ1+tYWuktVar7i+LWhltfBwZKr1aJro4hPMkMmys -RXSsepjwN4aUUsAm2gsTNi5zvX+RW/Dugtt0xhEQoOgs3rs9IsTnKcGamKJu -3Q/0iVOgF2das43EKcJBi/Grbbs+PHAjLanz2HUAYA/qgV8+eCuPwgkSpvy3 -V3wlyWMJWyOtdTNjTsUEuwpMH5U5cSMz+rNz5gPeMEV31ak/BlWTa3C8u11m -tWIopjBxMyMxp3YQUY005Ly8+EH/w+12Pu1F2V38zdneySCawdNRT7sbp+fg -pcAkju3EKcJJi4mrTVYfHriRptR56zoAsAt0uDI6cLf5I/5JYDL+hhBVb9m+ -zDNpq8xHs2F3z0evjdUN85z+Z6LtQneh7yQ+y0P2t1iOE6Wagmrgwrl+w3FB -fi3O/cmXaqT2JYCq5IYdJWXrgbVh3xnHCFmlwCyOrcRN0AyW74qvxy8BNy0m -qzZhfXjgRrpS56vrAMA+NOIfQ722Xja1FzrWUpwcGRz6afpH0S8GCNwCY0Uz -UwFoHw2Io6l6SpJzW6VdVmNDsbu/RXhtqRqhuMbopqBn7MoO73WWkxWYZKF/ -VdqQ/WZkZuvMXDeiFOjGoYym94cXtuDfU8Vhi41YVZugPjxyI7hOS+o6ALCT -sbooj1Vfd5qvFmzkbMhjbvG6MzB1X+nrS1w3lvQbLuzJjgaKzrKs3BqrTQX8 -aMidouT8dgXuSGvFrc/9fD9sJjlhsycF3auS6vfD9tTgTpumlcUkmtHGkpRd -4cIHXNx2zMxxI0yBZhyqkBwlOGvx9Ks41cavD4/cCK7TwmcT4Egkv28QrCns -szCl6VwY2eU3BM9M70WTHA3UfSc2CbxiG8ctX8CJNtJRkFzQqTt3wzsaIB0Z -Kz221VG8e5VuClpUculQUn4r/nfSdLIw+TeYrO5jz8dDy4cwWynQi2MDtfjk -25tCdazzWvSIf5D+z81xF02Pfxy1mLza+PXhkRvBdeSuAwA7kV2KdF/97R2L -XQZTJ4837ly2/Itbhit+Jjv81tGarqc957/CX4+PwOXehzz9NiRem14sytYD -ft5xlnO22UkBm2gXpeY3yWgvI+KaTDHe8I7fC2eGMVsp0ItDFZIzWG5abKPa -+PXhkRvBdVq4bgIcCdKRvto33tLNOievOKKfDK3qyg4OPtRm3J5Wth1kdDTA -j6bFHWmtldVuFQaJxBR3GOikgPxz+mhu/ah+Gjc62vJzpZjyPVN4ATFF/52h -qXE9SOf3r7w3sytCnAK9OFQhOUpw12KSauPXh0duBNdp4bMJcCjK2ymBQZZf -z0462XXx5k++yso++mXi/pPGL05VQ02VqesfXui5p7S2Q45SfQuCaFPgHA2U -bSmBYcd6KP9Wg2oKmqGKWOF9C+4xsMDFL+1v6rfz4gTEJH/uCnhCGB6fdvxE -0Q9VXYrp006SFGjFoQzZUYKbFpNWm6g+PHIjuA4+mwDHgkqq976Wan6nqOkO -gP3Qi4bJ6vdFHmwco7FSHJ8CvYCkKbAuzDY8ajFINYfHrgMA+1H2lGfmXhiY -OQXUOzmjg82jAcVoyp6K7Kxf+6neZWvy/zk0BToBbaTAujBK8KjFINUEfrsO -AOwHQ4ZHpraetRpZc2nC0oWPPn+kollq92/C6UVDFYMShOHdPg5LgV5A0hRY -F0YDHrUYpNIN6LSuAwAAAAAAAAAAAAAAAAAAAAAAAAAAAABnBx2tS9+5Jcjb -LWBbzg05PKQGcCLAnAAwX1F0FR3/S4pqka689Usj4GeXgBMB5gSAeQummdDo -z0flVxOCYuopPo4XAGYBMOe8B1Pz5mqZR1L5hfz64XdzKUynnV141G4eSeUd -zmlOgBFI3/nCn26O21otGCKuyUsKf/bVGvsnjWIT7YUJG5e53r/ILXh3wW3D -6ABUerVMdHGI5FF6HEjVKjqL926PCPF5SrAmpqgbYU8nfhFYQN1fFrUy2vhc -ONtq8bDOelr2WIvoWPWwfb/ipJY7OJMKdNsN5gR4gXrglw/eyqNwmoEp/+0V -X0nyWMLCFOyJmxmJObWDiGqkIeflxQ/6H243+mviRmb0Z+espqxxJ1XZXfzN -2V5EN4H6dNTT7sbBNyzoJC6CfajFp2KCXQWmzywlU4sLQdaTpVV0V536Y1A1 -eVQZ726XMT0GUMkdnEkJmu0GcwL8AB2ujA7cbT4VgAQmE3NwUA1cONdv8Lr8 -Wpz7ky/VSI2vYXfPR6+N1Y3odAqpWlQlN+y/KFsPrA37zjizx26dZEWwA1Vv -2b7MM2mrzGfkEaolgCBrVa9ou9Bd6DuJz/KQ/S0ks4k1g+W74usJqkAhd3Am -NcH02g3m1ENqTsAp0Ih/DPXaetm0SehYS3FyZHDop+kfRb8YIHALjBXNDBKg -vaxIo+kZu7LDe53psAHs7m8RXluqRiycyrFUVNqQ/WZkZuvMSDaWdOIXgalU -VU9Jcm6rtMtqfiuBWtpZU4byAAX83MGZVKLRbTeYcwqY7uH8jNVFeaz6utPc -dtjI2ZDH3OJ15zHqvtLXl7huLOk3XB6TLStFZ1lWbo3VpTlJNN2rkur3w/bU -mI1zVtz63M/3w2aL0x4upWpGG0tSdoULH3Bx2zEzgo0dnQRFYCQVuVOUnN+u -wJ0tjq+WftZUobj8iXIHZ9qORr/dYM4p4LPJ+ZH8vkGwprDPorWm015kl98Q -PDO9o0uyrNR9JzYJvGIbxy1fII6mRSWXDiXlt1p8z4p0ZKz02FZncQ8ox1K1 -ugk5dR97Ph5aPoSxqZOgCAykjnQUJBd06s4r8ZY/vlr6WdtALT759qZQHeu8 -Fj3iH6T/c3PcRdxjG0nu4Exb0Zi0G8xJw5wAp8guRbqv/vaOxeW6qR/GG3cu -W/7FLcN1M5OtcqJo2ES7KDW/SWblC2XrAT/vOMt511xKNTLe8I7fC2eGMfZ0 -EhaBvtSm62nP+a/w1+MjcLn3IU+/DYnXphcyvlr6WVPF9qkpae7gTBvRGLUb -zDkFXDc5P0hH+mrfeEtP6Pyw4oh+dLSqKzs4+FCbcZNX2XaQ0bKyjob8c/po -bv2ofpY2Otryc6V4+j4gWe1WYZBIbHFyx5VUTNF/Z2hqNg7S+f0r781sINiv -k6QITKROgzNbnEAt/aypYmv528gdnEkxmpZOu8GcU8BnEw9Q3k4JDLL8nnPS -D66LN3/yVVb20S8T9580fv2oGmqqTF3/8ELPPaW1HXKU6lvgRNMMVcQK71tw -j4EFLn5pf08bX9mWEhh2rMfqFw/cSMUkf+4KeEIYHp92/ETRD1VdiukzNHt1 -khaBidQZcJY/kVq6WVOGdPlTyB2cSSHaFDTaDebUA59NfACVVO99LdX8fkvT -62j7oRcNk9XvizzYOIbjN6eSyqlO2gFJ1DpAGzs4Vbu1/HGmFswJzBWUPeWZ -uRcGZs6l9H7I6GBzWVGMpuypyM76tZ/wdlVnkcqxTpoBbahlXRtrOEu7tZx3 -nEdSaQbkrTmB2QFDhkemNnC1GllzacLShY8+f6SiWWr3L6vpRUMVgxLExhW6 -M0jlVCftgKRqWdfGMs7Qbi1/nMm1VHbVOrs5AQAAAAAAAAAAAAAAAAAAAAAA -AAAAgLkAOlqXvnNLkLdbwLacG3J41Isl87k+8zl3AAA4RdFVdPwvKapFuvLW -L42AHy9aMp/rM59zBwCAWzDNhEZ/Qiy/mhAUU4/zbM75zXyuz3zOHXAOMDU/ -Ltf5opOPyK8ffjeXwphX9uBXN2e/Ps7DfM4dYBuk73zhTzfHbS1+DBHX5CWF -P/tqDQsjOxWdxXu3R4T4PCVYE1PUrfvZNyq9Wia6OIT3UC0OdRpQ95dFrYw2 -PgSMJanYRHthwsZlrvcvcgveXXAbfxDBbKjFw7pB07LHWkTHqoft/S0kj7qJ -J4u4d7bqA94AACqoB3754K08Cuc5mPLfXvGVJI8lLIyTVnYXf3O2F9ENRz4d -9bS7cSbLxI3M6M/OWc0q406n8b3Fp2KCXQWmD6hkQerEzYzEnNpBRDXSkPPy -4gf9D7ez82QWmmpxIWjQZHUV3VWn/hhUTR7WxrvbZUwPQjzqJi6EvbNVH/AG -AFACHa6MDtxt/sB6EpiMnsF9W5XcsEejbD2wNuw740QZ7O756LWxuimXzqFT -j6q3bF/mmbRV5gPR7JaqGrhwrt9wxJFfi3N/8qUa6eyrJYCgQape0Xahu9B3 -Ep/lIftbrAeVUovOn24SBCHona36gDf0aAbLd8XXU20/MC/RiH8M9dp62dQl -6FhLcXJkcOin6R9FvxggcAuMFc084572UYI0mhaVNmS/GZnZOjMtDLv7W4TX -lqoRi3XCoU5VT0lybqu0y2pYJ0tS9Yxd2eG9znJ0wWyopd0gNuBRN9ntHXhj -ChhRAdhkrC7KY9XXnea+x0bOhjzmFq87kVL3lb6+xHVjSb/h+pzsKKHoLMvK -rbHaGyCMphltLEnZFS58wMVtx8x0MMWtz/18P2y2OOniTCdypyg5v12BO0ia -Ham6VyXV74ftqcGdDO1gtWTa8BvEAjzqJrkwLXnv7E7cRnzeegM+mwCbSH7f -IFhT2GfhLdOZKbLLbwiemd5SJjlKqPtObBJ4xTaOW75AHE0HJqv72PPx0PIh -w+JDOjJWemyrs7gDlSOdIx0FyQWdulNFvBXNjlQtKrl0KCm/Ff/bbkertaFN -a90gG6jFJ9/eFGrB5riLpgdXHnWTXBh576wBbxi8sc5r0SP+QXjeAIApZJci -3Vd/e8div8DUkOONO5ct/+KW4cKdyc4/cbQpxhve8XvhzLDBn8rWA37ecZZT -o7nR2XQ97Tn/Ff56fAQu9z7k6bch8dr02mRDKjbRLkrNb5LRXp0sqSXTZsS8 -QSzAo26SCaPfO/DGFHDdBNgE6Uhf7RtvaUqdIVcc0c9gVnVlBwcfajPuMivb -DjI6SlhGwxT9d4amxrYgnd+/8t7MtoCsdqswSCS2OLXkSuc0OIOkWZCK/HP6 -aG79qH4yNzra8nOlmPLdWCypJQpF3CAW4FE3iUMx6R14Ywr4bAJso7ydEhhk -+UXrpCFdF2/+5Kus7KNfJu4/afz+UzXUVJm6/uGFnntKazvkKNW3wImGSf7c -FfCEMDw+7fiJoh+quhTT513KtpTAsGM9Vr+34EbnDDgr2l6pmqGKWOF9C+4x -sMDFL+1v6jcKs6UWPxRxg1iBR93ED8W0d+ANPfDZBFAAlVTvfS3V/IZP0wt5 -+6ERDZPV74s82DiG43an0qnlWCrtgCRqHaDNNjzqJrvCwBsAQB1lT3lm7oWB -mZM5vSEzOtg8SlCJpuypyM76tZ/wZlln0anlXCrNgDbUsq6NEvzpJsv1AW8A -AHUwZHhkagdZq5E1lyYsXfjo80cqmqV2f8lAIxqqGJQgNvYHnEEn11LZVcu6 -NhrwoZsOqQ94AwAAAAAAAAAAAAAAAAAAAAAAAAAAAACcCHS0Ln3nliBvt4Bt -OTfk8LgZvgJ9BABgDqHoKjr+lxTVIl1565dGwA8o+Qr0EQCAuQSmmdDoT7Ll -VxOCYupxng8K8AHoIzDnwNRw/Q9o5dcPv5tLYXAte/DIeDySOvt9BADKIH3n -C3+6OW5rOWGIuCYvKfzZV2vYmo6t1ar7y6JWRhuf7oVKr5aJLg7hPdiLjlRs -or0wYeMy1/sXuQXvLrhNdYIBCYrO4r3bI0J8nhKsiSnqRpxZqgG6hcXDOutp -2WMtomPVw/b+HpMD4+EXnKVusrxGmLgOTxOxx2z1kVrWxD6xAzYMDPAb9cAv -H7yVR+HECVP+2yu+kuSxhK3p2LqBLqdigl0Fpk+enLiRGf3ZOat5aXSkTtzM -SMypHURUIw05Ly9+0P9wu53LRdld/M3ZXkQ3S/p01NPuxhE2zijV+Pb0CosL -QdaTRlB0V536Y1A1ecQY726XMf2A4sR4xAVnoZvsSmXgOlwIU7bVR4pZE/rE -HtgwMMBv0OHK6MDd5k/MJ4HJJB1CVL1l+zLPpK0yn3SG3T0fvTZWN2mToVTV -wIVz/YblJ78W5/7kSzVS+4SiKrlhj0bZemBt2HfGATxOKHUqLL3CEkCQtapX -tF3oLvSdxGd5yP4W62Gp02gGy3fF1+NXgRvjkRXc7m6yK5W+6/AhStlWHyln -TaTTDpgbmMxyAK/QiH8M9dp62bSX6FhLcXJkcOin6R9FvxggcAuMFc08ZJ/2 -uiOOpuopSc5tlXZZTeHE7v4W4bWlasTCgnSl6hm7ssN7neVMAiZq9a9KG7Lf -jMxsnRmu5pRS6RaWdtaUIRmFwKHxjFgVnKVusiyVsuvY9RhtD9P1CYsGNpUN -0zfmCmN1UR6rvu40Nys2cjbkMbd43QmKuq/09SWuG0v6DVfSZOtO0VmWlVtj -dc2NHw25U5Sc367AnRCtuPW5n++HzRYncnSl6l6VVL8ftqcGd+QzLbWTaEYb -S1J2hQsfcHHbMTNMzfmk0i8s/aypQnKg4Mx406/iFJydbrIplY7rGKVMCL2s -yX3ieANPA59NcwbJ7xsEawr7LFxjOrRFdvkNwTPTe8gk607dd2KTwCu20Wq3 -GSfaSEdBckGn7iwJz4FIR8ZKj211Fne10pWqRSWXDiXlt+LfXkBHrcm/wWR1 -H3s+Hlo+hDmnVCaFpZ+1DdTik29vCtWxzmvRI/5B+j83x100PShyZDzygrPT -TZalaqm6jlHKhND2MI5OBlkzNDAVywH8QnYp0n31t5Y7xKaeGW/cuWz5F7cM -V+pM9tKtozVdT3vOf4W/Hh+By70PefptSLw2bV1l6wE/7zjLydX0pGIT7aLU -/CYZbW8S5z7FeMM7fi+cGcacUiqjwtLPmiokJ7HcGM9GwdnoJrtSjVBxHaOU -CaGbNZ5OW7BoYCNw3TRnQDrSV/vGWzZb55kVR/RDoFVd2cHBh9qM28rKtoOM -1h1+NC3uhGitrHarMEgktjhloyMV+ef00dz6Uf0Ab3S05edKMeXb3/ACYor+ -O0NTU26Qzu9feW9m18LppE5DvbD0s6YKyYGCO+ORFNz+brIpla7rGKVMCPWs -mfuERQMbgc+muYPydkpgkOW3o5OecV28+ZOvsrKPfpm4/6TxC0/VUFNl6vqH -F3ruKa3tkKNU34Ig2hQ4DlS2pQSGHeux+ikDVamaoYpY4X0L7jGwwMUv7W/q -d2bjBMQkf+4KeEIYHp92/ETRD1VdiunTQqeTOgONwtLNmjJkBwpujEdacHu7 -ya5U+q5jkDIJVLO2wycsGtgIfDbNIVBJ9d7XUs3vIDW91rYfetEwWf2+yION -YzgOd7xUegF5JFVLqtYB2mwDxmMWbdb66FRZa20kDsxNlD3lmbkXBmbOkPSe -yehg04EUoyl7KrKzfu0nvMnVwVLpBOSRVK1NtaxrowQYj3a02e2js2Sttd0g -YK6CIcMjU1vGWo2suTRh6cJHnz9S0Sy1+0fY9KKhikEJYuO8yGFS6QXkkVRb -alnXRgMwHnuuc0gfnSFrLbUGAQAAAAAAAAAAAAAAAAAAAAAAAAAAAE4EOlqX -vnNLkLdbwLacG3L4xhdwCsCWADC/UXQVHf9LimqRrrz1SyPgh4OAUwC2BIB5 -DqaZ0OjPSuVXE4Ji6nEe4QkAsw7YEuAbmJo3l/c8kjqJ/Prhd3MpDFcFCOBL -u/micwqwJcAdSN/5wp9ujttaMBgirslLCn/21Rr7595iE+2FCRuXud6/yC14 -d8Ftw5P7UenVMtHFIZIHZnEg1Yi6vyxqZbTxAV+2peLJws166qWxFtGx6mHC -HyFSS1zRWbx3e0SIz1OCNTFF3Sz9fJ+FxK0hKYUJXLTbuoZgy3ljS8CZUA/8 -8sFbeRTOizDlv73iK0keS1iYNz1xMyMxp3YQUY005Ly8+EH/w+1Gw07cyIz+ -7JzVHDLupBrfW3wqJthVYPrwSTKpuBBmjSm6q079MaiaXGLj3e0yq4gUE1d2 -F39zthfRTaY+HfW0u9lsHcawkbg1xAYweWcu2k1QQ7DlvLAl4ESgw5XRgbvN -n0RPApPZNDioBi6c6zcsAPm1OPcnX6qRGl/D7p6PXhurG4bpFFINgnvL9mWe -SVtlPuyMUCpBEIKsVb2i7UJ3oe8kPstD9rdYjvWknDiqkht2i5StB9aGfWc5 -fYcBzBPXDJbviq8nEE1mAAMctZuohmDLuWFLgC9oxD+Gem29bOovdKylODky -OPTT9I+iXwwQuAXGimYeXk97ZZFG0zN2ZYf3OtNn8WN3f4vw2lI1YuEwDqWq -ekqSc1ulXVaDOAmkMsmaGLqJa1FpQ/abkZmtCutYjk7cVDbVaQX4peDYmdY1 -BFval7iT2BLgC2N1UR6rvu409yI2cjbkMbd43fmHuq/09SWuG0v6DRfKZCtL -0VmWlVtjdUlNEk33qqT6/bA9NWazkxW3Pvfz/bDZ4jyNM6nInaLk/HYF7pBo -fKmMsiaEXuKa0caSlF3hwgdc3HZYT3lzfOLTUPxsIioFl87EryHY0o7EncaW -AF+Q/L5BsKawz8IUpnNVZJffEDwzvUVMsrLUfSc2CbxiG602k4mjaVHJpUNJ -+a0WX4QjHRkrPbbVWdy0ypHUkY6C5IJO3fka3lrAl8ooa0LoJq4Dk9V97Pl4 -aPmQ+XvMQuJq8cm3N4XqWOe16BH/IP2fm+Mu4h/wiEvBsTO11jUEW9qVuA5n -sKUJhLYEnADZpUj31d9abgCbWmK8ceey5V/cMlyIM9ktJ4qGTbSLUvObZFbu -ULYe8POOsxwHzY3Uputpz/mv8NfjI3C59yFPvw2J16YXEb5URlkTQjfxKcYb -3vF74cwwxbdhMXEjtq+bSEvBpTONmNcQbGlX4lNwbkuALyAd6at94y17qbPE -iiP6yc2qruzg4ENtxl1jZdtBRivLOhryz+mjufWj+qnV6GjLz5Xi6Ru1ZLVb -hUEiscUZGXdSDeAMiSaQyihrQqgnjin67wxNTblBOr9/5T3rzZNZSNyIrc8m -G6Xgqt3ENQRbmsFTWwK8QXk7JTDI8svPSUu4Lt78yVdZ2Ue/TNx/0vh9pmqo -qTJ1/cMLPfeU1nbIUapvgRNNM1QRK7xvwT0GFrj4pf09vRqUbSmBYcd6rH6p -wI3UGXDWApFUBlmTQDVxTPLnroAnhOHxacdPFP1Q1aWgfhLMYuJGSD+bKJSC -m3YT1xBsyTBx57IlwB9QSfXe11LNbxA1vZS2H3rRMFn9vsiDjWM4BuaRVHaF -8Spx1nCqrMGW1vAqcYCXKHvKM3MvDMycAOktkdHBpsEoRlP2VGRn/dpPeA8r -f6SyK4xHibOJs2QNtiR8N74kDvAVDBkemdoR1mpkzaUJSxc++vyRimap3Ru3 -9KKhikEJYuO0hw9S2RVmgA+Js48zZA22JIEPiQMAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAwFvQ0br0nVuCvN0CtuXckMPNAQAAAADnKLqKjv8lRbVIV976pRFU -HgMPAAAAAI4F00xo9BdL8qsJQTH1OE97BYB5DabmzW4Cj6QCHMIvn8ivH343 -l8IoXgDgAer+sqiV0URzLJG+84U/3Ry3tT4xRFyTlxT+7Ks19k/2xCbaCxM2 -LnO9f5Fb8O6C24aH96PSq2Wii0Mkz8ziQKoR8xqyJBW/Dvag6Czeuz0ixOcp -wZqYom6EPak4kVmAblUpwiOf4MkidgU21iI6Vj1M+HtVcB0VHOQ6gDZq8amY -YFdBFO5nk3rglw/eyqNwGoYp/+0VX0nyWMLC1OmJmxmJObWDiGqkIeflxQ/6 -H243mm7iRmb0Z+esRpFxJ9X43tY1ZEEqcR0Youwu/uZsL6Ibm3466ml344Qd -FqQSRLYPmlWlGpU/PsGF0BWYorvq1B+DqsnD6Xh3u8wqIriOEo5xHUAfVW/Z -vswzaassZ3XpQYcrowN3E11QWcFkQg2epIEL5/oN60F+Lc79yZdqpMbXsLvn -o9fG6uZhOoVUg2DcGtotlawOzEBVcsP+lLL1wNqw74wzeOyvKlFkO6BZVRM0 -g+W74uvxRfPIJwRBCFyh6hVtF7oLfSfxWR6yv8VyAiy4jhKs9AhgAVVPSXJu -q7TLeo6kDo34x1CvrZdN/zs61lKcHBkc+mn6R9EvBgjcAmNFM8+vp72QSaPp -Gbuyw3ud6eP4sbu/RXhtqRqxcAmHUglryJJU/DowVat/VdqQ/WZkZuvM7De2 -pFpHZqqTblXNZBMP6eCRT9h1BbiOSjR7XAewCXKnKDm/XYE741jHWF2Ux6qv -O82tiY2cDXnMLV53DqHuK319ievGkn7DxS7ZQlZ0lmXl1lhdFpNE070qqX4/ -bE+N2fhkxa3P/Xw/bLY4LeRMKlkN2ZFKUAdGaifRjDaWpOwKFz7g4rZjZtYb -G1LxI89SVU0h+WzikU/IhWnJXWF34jbig+sAB6LsKEgu6NSdLxB9Nkl+3yBY -U9hn0VjT0Sqyy28Inpne5iVZyOq+E5sEXrGNVhvCxNG0qOTSoaT8VovvYpGO -jJUe2+os7pHlSOoIaQ3ZkUpQBwZqTf4NJqv72PPx0PIhjFWpOJEZ6GRSVd1b -iE++vSlUxzqvRY/4B+n/3Bx30fTgyiOfkAsjd4U14Dpb0ex2nQkWrgPoobyd -9pz/Cn89PgKXex/y9NuQeM2sibJLke6rv7XcxDVt63jjzmXLv7hluJhmsjlP -FA2baBel5jfJrDqsbD3g5x1nORGaG6lN10lryIZUwjrQV3vLbM9jvOEdvxfO -DGPsScWPTF8no6qaQnLdxCOfkAmj7wpwnY1odrsOcAQ4M471IB3pq33jLfuh -a+uKI/rhzaqu7ODgQ23GnV9l20FGC9k6GvLP6aO59aP62dXoaMvPleLpe4Vk -tVuFQSKxxVkVd1IN4NXQfqkkdWCiFlP03xmamnWDdH7/ynszeyD2SiWOzETn -NNSragrJZxOPfEIciokrwHUUEjfAzHWAIyD6bJq8tkoJDLL8LnSyra6LN3/y -VVb20S8T9580fiepGmqqTF3/8ELPPaW1HXKU6nvjRNMMVcQK71twj4EFLn5p -f08vDmVbSmDYsR6rXxtwI3UGnBraK5W0DkzUYpI/dwU8IQyPTzt+ouiHqi7F -9EmmvVKJIzPROQONqppA8tnEJ5/gh2LqCnCdjWgzMHMdMLugkuq9r6Wa349q -ejlsP/SiYbL6fZEHG8dwTAhSzaERcG5UlSK8yohNYeA6xtHsdx3gCJQ95Zm5 -FwZmTmL0bc3oYNMkFKMpeyqys37tJ7ylFaSaQDngHKoqRfiTEcuuANcxicaS -6wBHgCHDI1O7ulqNrLk0YenCR58/UtEstXvzlV40VDEoQWycuoBUugHnWFUp -woeMWHeFDnAdh64DAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAq6Ghd+s4tQd5u -Adtybsjhm3sAAACAcxRdRcf/kqJapCtv/dIIgp8dAwAAAMAsgmkmNPqLJfnV -hKCYepynxgLAfAdT82ZDgUdSAQ7hkU/k1w+/m0thpC8A8AN1f1nUymiiOZNI -3/nCn26O21qfGCKuyUsKf/bVGvuHhGIT7YUJG5e53r/ILXh3wW3Dc/pR6dUy -0cUhkmdacSBVq+gs3rs9IsTnKcGamKJuhD2d+EVgAfN2s1VV6zpwIJUifPEJ -niZiV2BjLaJj1cOEPyYF1zlIKuAo1OJTMcGuArxnvU6+OPDLB2/lUTgTw5T/ -9oqvJHksYWGA9cTNjMSc2kFENdKQ8/LiB/0PtxtNN3EjM/qzc1ajwriTquwu -/uZsL6KbA3466ml340wZFnQSF8E+cNrNglqCOsyqVKpReeITXAhdgSm6q079 -MaiaPJaOd7fLrCKC6xwkFXAYqt6yfZln0lbhzRbUosOV0YG7iS6orGAy7AZP -0sCFc/2GJSG/Fuf+5Es1UuNr2N3z0WtjdfMqnUKqFlXJDTs+ytYDa8O+M06d -sVsnWRHsAL/d9leVqA6zJ9UEzWD5rvh6fNF88Qk+RK5Q9Yq2C92FvpP4LA/Z -32I5nhVc5yCpgMNQ9ZQk57ZKu/Dn3mrEP4Z6bb1s+t/RsZbi5Mjg0E/TP4p+ -MUDgFhgrmnm+PO2FTBpNz9iVHd7rTB+Xj939LcJrS9WIhUs4lopKG7LfjMxs -nZl2xpJO/CIwlUrYbrbUWtdhtqSaySaekcEXn7DrCnCdg6QCjgK5U5Sc364g -nMk+VhflserrTnN3YiNnQx5zi9edQ6j7Sl9f4rqxpN9wsUu2kBWdZVm5NVaX -xSTRdK9Kqt8P21NjNt5YcetzP98Pmy3ODLmUqhltLEnZFS58wMVtx8x0M3Z0 -EhSBkVSydrOhFr8OsyTVFJLPJr74hFyVltwVdmdtIz64DnAsyo6C5IJO3fkC -0WeT5PcNgjWFfRaNNR19Irv8huCZ6W1ekoWs7juxSeAV22i1IUwcTYtKLh1K -ym+1+DoW6chY6bGtzuI2WY6lanUzXuo+9nw8tHwIY1MnQREYSB0hbTdLanHq -MEtSdW8hPvn2plAd67wWPeIfpP9zc9xF0+MrX3xiIw6pK6wB1zlIqtbUdSZY -uA6gh/J22nP+K/z1+Ahc7n3I029D4jWzJsouRbqv/tZyE9e0reONO5ct/+KW -4WKayeY8UTRsol2Umt8ks+qwsvWAn3ec5cRmLqUaGW94x++FM8MYezoJi0Bf -atN10nazU1W8OsySVFNIrpv44hOyOPRdAa5zkFTA0RDNZEc60lf7xlv2Q9fW -FUf0c5pVXdnBwYfajDu/yraDjBaydTTkn9NHc+tH9WOw0dGWnyvF07cLyWq3 -CoNEYouzKq6kYor+O0NT012Qzu9feW9mV8F+nSRFYCJ1Grx226uWuA6zJNUU -ks8mvviEWBUTV4DrHCQVcDREn02T11YpgUGWX4dOttV18eZPvsrKPvpl4v6T -xu8kVUNNlanrH17ouae0tkOOUn1vnGiaoYpY4X0L7jGwwMUv7e/p9aFsSwkM -O9Zj9WsDbqRikj93BTwhDI9PO36i6IeqLsX0aZu9OkmLwETqDDjttlctcR1m -TaoJJJ9NvPEJfhymrgDXOUgqwBmopHrva6nmt6SaXg7bD71omKx+X+TBxjEc -EzqVVE510g7Il6pqSaVSxKkyIk2HTVXgOnNm23WAI1D2lGfmXhiYOYnRtzWj -g02TUIym7KnIzvq1n/CuVmeRyrFOmgH5UlWtbakUcZaMbKTDsivAdSZw4DrA -EWDI8MjUrq5WI2suTVi68NHnj1Q0S+3efKUXDVUMShAbpy7OIJVTnbQD8qWq -FKVSxBkyIk2HdVfoANc5SCoAAAAAAAAAAAAAAAAAAAAAAAAAAAAN0NG69J1b -grzdArbl3JDb+30ku9EAgArgOgCYcyi6io7/JUW1SFfe+qURBD+m5CgaAFAB -XAcAcw9MM6HRn2jKryYExdTjPA6Tu2gAQAVwHQA4HkzNzZaE/Prhd3MpDCrl -Itocg6sWM4BHUrXgOgCgB9J3vvCnm+O2FjmGiGvyksKffbXG7gGguqccFyZs -XOZ6/yK34N0Ftw2P4UelV8tEF4dwnleFjbWIjlUP0/rBnaKzeO/2iBCfpwRr -Yoq6TX/8bSsatYIQx7cDdX9Z1Mpo41O8iAtCEx60mEOpRtgoPrgOANhBPfDL -B2/lUTiXw5T/9oqvJHksYWE49cTNjMSc2kFENdKQ8/LiB/0PtxsX2cSNzOjP -zpmPAcMU3VWn/hhUTa6a8e52GbUPKGV38TdnexHdbO7TUU+7z8x5sRWNYkEI -49uDWnwqJthVYPqESbyC0I3q/C3mVKrxvVkoPrgOANgBHa6MDtyN8/BxfJgM -ssFBNXDhXL/hUCW/Fuf+5Es1UuNr2N3z0WtjdbMojf+4V7Rd6C70ncRnecj+ -FopDJ1GV3LDdo2w9sDbsO8MkGFvRKBeEIL49qHrL9mWeSVtlPtHMqiA4aAbL -d8XX44vmQYu5lWoQzLj4pswr1wGA49CIfwz12nrZdE2gYy3FyZHBoZ+mfxT9 -YoDALTBWNPPseNpHA9Joesau7PBeZ/oofOzubxFeW6pGKB8OSN8ClTZkvxmZ -2aogiWAC3YLQjU8STdVTkpzbKu2ymrZJoSAk8yB41GIOpdIuPrgOABzJWF2U -x6qvO81PvrCRsyGPucXrzpnUfaWvL3HdWNJvuLgnOxooOsuycmustgFIoule -lVS/H7anxmx0seLW536+HzZTvD4iewvNaGNJyq5w4QMubjuoTRyjVxDy+LQK -gtwpSs5vV+BOgrZdEJLPJh61mDOpjIoPrgMAxyH5fYNgTWGfhZFNx5rILr8h -eGZ6W5vkaKDuO7FJ4BXbaLUBThxNi0ouHUrKb50wPzdDOjJWemyro3GjLclb -aHVzV+o+9nw8tHyIwikg3YKQxKdTkJGOguSCTt2ZLN5RgrAgavHJtzeF6ljn -tegR/yD9n5vjLpp+DvCoxRxJZVh8cJ0pFq4DADuRXYp0X/2t5aa1qY3HG3cu -W/7FLcPmAZMdfqJo2ES7KDW/SWblaGXrAT/vOMtpzEzewsh4wzt+L5wZprB2 -6BaEbnz8aE3X057zX+Gvx0fgcu9Dnn4bEq9NH15sF4TkuolHLeZGKuPiz3vX -AYDjQDrSV/vGW/pPZ+MVR/RjmFVd2cHBh9qMO93KtoOMjgbW0ZB/Th/NrR/V -j7hGR1t+rhRP3w4rq90qDBKJadwjhPcWmKL/ztDUxBWk8/tX3qO2u0K9IMzi -E0WbBmcSNIWCkHw28ajF3Ek1QK/48951AOBAlLdTAoNMv6bWMWlj18WbP/kq -K/vol4n7Txq/g1UNNVWmrn94oeee0toOOUr1LXCiaYYqYoX3LbjHwAIXv7S/ -p49byraUwLBjPXR+XYHzFpjkz10BTwjD49OOnyj6oapLQfH0kmpBmMbHjzYD -zlGCQkFIPpv41GJupM5Ar/jz3nUA4EhQSfXe11LNb2o1vfy3H3rRMFn9vsiD -jWO09q7ZFDwnCmIGjzLikVRwHQA4GmVPeWbuhYGZkza9jTM62FwUFKMpeyqy -s37tp/ujDXYFz4GCWIfhTUb8kQquAwCHgyHDI1O72FqNrLk0YenCR58/UtEs -tXuzmV40VDEoQeieqrEr2ACfC4IPjzLig1RwHQAAAAAAAAAAAAAAAAAAAAAA -AAAAADDroKN16Tu3BHm7BWzLuSG395tddqMBAEXAeAAwt1B0FR3/S4pqka68 -9UsjCH6WylE0AKAIGA8A5hiYZkKjP8uUX00Iiqmn8eBYx0cDAIqA8QCAMpia -TzsL8uuH382lMEeVi2hzDH4Zg1+A8YB5CdJ3vvCnm+O2jiwYIq7JSwp/9tUa -tqZga7Xq/rKoldHGB3mh0qtlootD9J7hhU20FyZsXOZ6/yK34N0Ft02nMWBj -LaJj1cO0frqo6Czeuz0ixOcpwZqYom7Tn9HbikatjMTx7YCFMuLBgTHwu2k7 -I0pSSaxiH2zUH4wHAGaoB3754K08CqdkmPLfXvGVJI8lbE3B1k2CORUT7Cow -fcjkxI3M6M/OWY1GI2biZkZiTu0gohppyHl58YP+h9sNyw5TdFed+mNQNblk -xrvbZdQiKruLvznbi+imnJ+Oetp9ZmKOrWgUy0gY3x7YKCNOVC6MQdhN0owo -SiUObh9s1B+MBwBmoMOV0YG7zR+OTwKTiTmEqHrL9mWeSVtlPtQMu3s+em2s -bj4ntSADF871Gw4x8mtx7k++VCOdCi7aLnQX+k7iszxkfwvF8Z2oSm7YmVK2 -Hlgb9p1hpo6taJTLSBDfHpiXUTNYviu+Hl80N8Yg6qYOwoyoSiULbo9mNmw8 -v4wHADbRiH8M9dp62dTa6FhLcXJkcOin6R9FvxggcAuMFc08T5/2IYg4mqqn -JDm3VdplNXATu/tbhNeWqhFLc5MK0zN2ZYf3OstJA7SF6V+VNmS/GZnZqiCJ -YALdMtKNz2YZTWUTT9bg0BhGrLpJkBHt4uMGZ6qWZRvPD+MBgE3G6qI8Vn3d -ab5EsZGzIY+5xetOfdR9pa8vcd1Y0m+4Ric7BCk6y7Jya6yu5vGjIXeKkvPb -FbjDoBW3Pvfz/bDZ+kqHRJjuVUn1+2F7aihPhiaMphltLEnZFS58wMVtB7XZ -bfTKSB7f8WWchuSziTNjTL+K0038jOhKJQjOSC27Np43xgMAm0h+3yBYU9hn -4UfTUS+yy28InpnenSY5BKn7TmwSeMU2Wu1j40Qb6ShILujUnX/heRvpyFjp -sa0O535ZYmFaVHLpUFJ+K52vt0miaXUTbOo+9nw8tHyIQkS6ZSSJPwtlVItP -vr0pVMc6r0WP+Afp/9wcd9H0UM2RMci7iZ8R7eKTWoVjG2vnh/FMsDAeAEwh -uxTpvvpby71nUzeON+5ctvyLW4Y9ACZfK1hHa7qe9pz/Cn89PgKXex/y9NuQ -eG16UShbD/h5x1lOqCYThk20i1Lzm2T0PE6c5hTjDe/4vXBmmEJQumWkGx8/ -GuMyGiG5buLGGDa6iZ8RPanMrIIbkHUbG5nzxgMAmyAd6at94y1tpHPjiiP6 -Edqqruzg4ENtxg1rZdtBRocg/Gha3GHQWlntVmGQSIyzp4EfCvnn9NHc+lH9 -WG50tOXnSjG126/womGK/jtDU7NrkM7vX3mP2tYK9TIyi0+cuwF6ZTRC8tnE -nTFIuomfER2pTK1CmruWDRvPK+MBgG2Ut1MCgyy/E550o+vizZ98lZV99MvE -/SeNX6WqhpoqU9c/vNBzT2lthxyl+hYE0abA8bayLSUw7FgP3o8kcEJphipi -hfctuMfAAhe/tL8pHm9womGSP3cFPCEMj087fqLoh6ouBcVzS6plZBofP9oM -9MpohOSziSNjkHaTKCOqUu2wCnHuU9ht4/llPACgACqp3vtaqvm9qaZX8fZD -Lxomq98XebBxDHftcCmMHF6VkRI8ysjxUmkHnDUb86hNAEAXZU95Zu6FgZlz -L70bMzrY9DbFaMqeiuysX/uJbu3lThgF+FNGqvAoIwdLpRlwVm3MpzYBAF0w -ZHhkajNaq5E1lyYsXfjo80cqmqV27xnTi4YqBiUI0RkXl8Iowocy0oNHGTlM -KrtqwXgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAr0BH69J3bgnydgvYlnNDbu+3 -wuxGA7gCXAEAAKcouoqO/yVFtUhX3vqlEQS/auUoGsAV4AoAALgF00xo9Cey -8qsJQTH1OI/55C4awBXgCgCYFTA17CPYQH798Lu5FCbGchGNCjxqMY+k8t0V -ADDrIH3nC3+6OW5rkWOIuCYvKfzZV2vYmsmu1ar7y6JWRhufx4VKr5aJLg6R -PIqLklRsor0wYeMy1/sXuQXvLrhNZ24GAYrO4r3bI0J8nhKsiSnqRkilYmMt -omPVw0x+9mheDXujmcJBi/G7wFKLWXYjnf6SaSI2nlO6AgCcGfXALx+8lUfh -BAxT/tsrvpLksYStmey6gS6nYoJdBabPipy4kRn92TmrCWd0pE7czEjMqR1E -VCMNOS8vftD/cLudT29Rdhd/c7YX0Q0xPx31tLtxGg6eVEzRXXXqj0HV5MFt -vLtdRuvgYV0Ne6KZBuaixcRdYKHF7Eql0V9SCFN2SlcAgFODDldGB+42f8Y9 -CUzG9BCi6i3bl3kmbZX5bDLs7vnotbG6MZsMpaoGLpzrNxwU5Nfi3J98qUZq -n1BUJTfsHClbD6wN+844L8dKqqpXtF3oLvSdxGd5yP4WOqM/rathTzRT9Zy0 -mKwLdreYXanU+0sOUcpO6QoAcG404h9DvbZeNj0YoGMtxcmRwaGfpn8U/WKA -wC0wVjTzWHzaRwPiaKqekuTcVmmX1dxM7O5vEV5bqkYsjgh0peoZu7LDe53l -CAEmavWvShuy34zMbJ2Z00YglUF8wmrYDYctNmLVBZZazLJU6v1l13hcuAIA -nJyxuiiPVV93mi8hbORsyGNu8brzRXVf6etLXDeW9Bs2DsiOBorOsqzcGqst -EPxoyJ2i5Px2Be5MZ8Wtz/18P2y2OCGkK1X3qqT6/bA9Nbgjn2mpnUQz2liS -sitc+ICL246ZuWz4UkmgXw174azF06/idIGdFrMplWZ/mRsPj9l3BQA4OZLf -NwjWFPZZrGDTiS2yy28InjHuwJMdDdR9JzYJvGIbxy1fwIk20lGQXNCpOzfE -W3dIR8ZKj211FnfH0pWqRSWXDiXlt+LfCUFHrcm/wWR1H3s+Hlo+hJFJJYN2 -NchQi0++vSnUgs1xF00Pihy1mLwL7LSYZalaOv1lajx8Zt0VAODkyC5Fuq/+ -9o7F1oPpShlv3Lls+Re3DPscTHb4raM1XU97zn+Fvx4fgcu9D3n6bUi8Nn2I -ULYe8POOsxw0TU8qNtEuSs1vktFejsS5TzHe8I7fC2eGMTKp9OLbqIa9cNNi -G11go8XsSjVCtb/sGm/WXQEATg7Skb7aN95y7elWyooj+nnVqq7s4OBDbcbN -dGXbQUZHA/xoWtyZzlpZ7VZhkEhscfpMRyryz+mjufWj+ung6GjLz5Viynfq -4QXEFP13hqbm0iCd37/y3syeD75UuvGnwauGvXDXYpIu2N9iNqUy6S+7xpt1 -VwCAs6O8nRIYZPmd7eRKcV28+ZOvsrKPfpm4/6Txa17VUFNl6vqHF3ruKa3t -kKNU34Ig2hQ4607ZlhIYdqzH6pclVKVqhipihfctuMfAAhe/tL+p30SOExCT -/Lkr4AlheHza8RNFP1R1KabPiYmk0os/g0OOQty0mLQL9raYXamM+suu8Wbf -FQDg7KCS6r2vpZrfiWq6w2A/9KJhsvp9kQcbx3D2RBwvlV5AEqmsxGcLaDGz -aKT95bKAADBPUPaUZ+ZeGJg5W9WvlIwONtcdxWjKnorsrF/7CW+9dbBUOgFt -SbU3PqtAi2lHs6GTuwICwHwCQ4ZHpjbctRpZc2nC0oWPPn+kollq92/O6UVD -FYMSxMZliMOk0gtIRao98VkHWsxef7ksIAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAA4O+hoXfrOLUHebgHbcm7I7X2sDLvRAIAVwJYAwDcUXUXH/5KiWqQrb/3S -iPMSZ4oGAKwAtgQA3oFpJjT680j51YSgmHoaT411fDQAYAWwJTArYGp+XJPz -RecU8uuH382lMO+Vi2hswaOO8Egqj3BOWwJODNJ3vvCnm+O2ViOGiGvyksKf -fbWGhbm3is7ivdsjQnyeEqyJKerW/SAelV4tE10cInk4HRc6Daj7y6JWRhuf -aWZbKp6sifbChI3LXO9f5Ba8u+C26QgFbKxFdKx6mMnvLs2F2RuNkloTOOgI -vjDnNI/DTE6tO46WSoKjbAnMJ9QD/5+9s4+Lomz7fv7VJ627zChf2goEAVFA -yUsMkJRKLvGlqO7Q0OdjmUYChqYWWneXXly+IAiJ2QOil4qbIHabPIKYlxbi -C0goiAoSr8ICAi67sOzO7s7swy67sC8zszOzs+wsHN+//LDusb/j5Zw555yZ -8/j1y5VpFCYzmOxRk+BmjPMEFrpgyxpO7j/f1DcClG1nw15x0vW+6b2bFP7N -RZOGcLbTqfttwenV/g48/f02yaTi0nsvcf2BG22IvLPkwJLxz3rtqdbuUINJ -G/JP/9Em7zsa9DRUi2mNXVNhllijolb/x22REWJhnCse6xU5lexYWyoZVitL -YASBduSF+66jvMcxk445uD8rl2gXTWSV22cHHdT17MEeXwqfHaHu/8kNnRrk -Tdlbk87FzzTs70YolcBI6+WLLdojiOR2pNOkxYWifuP8Fa5Orh59TJ0WsK2C -egtdPGE0rCnbctZGFRMElEitHrbJCJkwrhWP1YqcQnasLZVUntXKEhhBKAU/ -B7otu65fCmh3xcnYUP/ArxO+Cn/Hm+foG8Ef3LKf9rAltaZCRSUpH4cmVQ52 -d8Me/xbitii/02gw2FCnvDEzNrVSVGfSe5RAqhmX1XTfXOU+x7gVBHvCqKFs -Ovb2IiqPTOGrtXHl4ArjXvFoPrVWkeMHYUikcqAsgWFOd1GY88wfag0rG+s8 -H/CiY5R6tqRoznp/gsP8zBbtRTjZsJXWZienFposABBaU3aVZsatDXZ9ZrTj -qsFubtL733p6bCg3mlnZTCdSnxGbXi3F7YuNL5VcmPpTYcEXQRsLKXfIpi+M -EhQPAkRqbVk5hMI4Vjwq6xY5QRCGQiqhnaEqS2DYI/x9Hm/W8Waj+tXvJiO+ -/hHvNd36M9mwVTSfWMBziyg1aRtNbE0NJi7a5PJSYE67dnghNYkznJcXGT1m -aiOdnTVHY4/WqueDeGMNX6oZl1HhtZ0x6ZV07l7TFkaGQnDqkwWBaua4jR3n -5af558LIq/inSmK1Nq4cfGGcKh6rFzl5LVlVKoGdoSpLYAQgvhbq5PNjvdGK -gH7V9ZSumTLtu/vaq3wmS/HE1vrpKfnU8+1zHdoilFVu93SPNO7LbRudZXfi -3/Sa7qVhKm/0k8+5eM5bf3tgIONLJROG9Vbzd6eXiekNONrCKGF+gkqq1paV -QyiMS8Vj7SJnVkssScW3MzRlCYwMkJoEH48o48pTV930vZp+0vK6FH//nVW6 -JWlZ1Q5Gw9bYGiZtqW/vb4+D1P609PPBNQTxjWWufnyB0eTRVjoHwOuLjS+V -2BTy8Oy+1OIuTftwtKviTJ6A2tNVtIVRwtxBwIxa22WERBi3iseaRc60lliS -SixMi9XKEhgxyB7E+foZ30rtqzqH8Qs370pO2ff9+m2ndDdL5e1lebvnPj/G -ZWPWjRoJSvUncKxhwitrvSe6BkfFHz6RcSy/Tjow+ZNVxfkGHWo0eanCNjoH -wRlrRFLxTSnbcyNcnxr1hJZRoz3j/6J4OKErjBqkBwEKam2TEVJh3Coe6xW5 -BbXEllR8O4PAuQmwGFRYsOW93YZPdepfrVsODWuYuHhr6I7Sbpx1Ck7pVJFK -ta2wIcOOMsIpqTbVSc/gEBY5AOAga8xJSr3cOjhd01RdYg2bw5aKNVljbkry -hRbCx2G5olNlVqrthA0t9pMRzki1sU46Boe0yAEAHwzp6OxfblYpxeVZ0ZPH -vPDW3txykcXvb9OwhkrbhIiZO7tc0GlOqi2FDT32kBEOSbWpThalcr0sAQAA -AAAAAAAAAAAAAAAAAAAAAAAAAIAqaFdRwppFfu6O3ssP3JXAhjKA1YGSAwDA -HNK6jMN/ilAVUpc2d3IIvCIJWB0oOQAAzIIpe5WamavkVrTf6mKcHUABgFWg -5ADKYAq7ua62I6n2heTOns9SKbSRZQ97SaW96LQ7hr7kAA6ANF86/su9HnOD -CkMEhWkxwa+/W2h5P1mst/p49PwpDk+PdfRfd/SBdpt/VHQrm3+1HW/3LttJ -1aFoyQ6bEa7bIowlqfhxsARp7cktK0ICpr7Mm7U6owGhJJUEQ6/7NXdX8A8V -dFj6xqUtUskkOFBy5rCbkgPsC0Xrr1+uTKMwIcFkj5oEN2OcJ7DQrrr3XuL6 -AzfaEHlnyYEl45/12lOt2/qk925S+DcXTTqi2U6q7rcFp1f7O/D0t69kQSpx -HBgiazi5/3wTou5tfTbsFSddax4yqWSYeo1JG/JP/9Em7zv+9DRUi5keLWyS -SgbBgZIzi72UHGBnoB154b7rKO8XzKS1DQ7y1ssXW7RDQnI70mnS4kKR7jPs -8aXw2RHqdpqckKoV3JS9Nelc/EzDdmkWSyWLAzNQuUS7qCSr3D476KCuGxCh -VFJ5Jl7Lm/grXJ1cPfqYOi1gW4VpO9QBlG05a6OK8UNgo1TSDg6UHAW4U3LA -cEIp+DnQbdl1/YpGuytOxob6B36d8FX4O948R98I/uD297RHH6k1Dd03V7nP -0W8MgD3+LcRtUX6nUU3bUKq8MTM2tVJUZ9LKkyWp+HFgqlbzqagk5ePQpMrB -pnEEUpl4TQ2SZgc2rjrKwYGSo6hW86ntSw4YTnQXhTnP/KHWsDqxzvMBLzpG -qWc8iuas9yc4zM9s0V5Ik40+aW12cmqhyUU8iTX1p8KCL4I2Fhq0Xpbe/9bT -Y0O50QTJZlKR+ozY9GopbptpdqQSxIGR2j6UXaWZcWuDXZ8Z7bhqsEkcvlRG -XlOC5Nxky6qjExwoOUpqVVwpOWA4Ifx9Hm/W8WajGtTvzCK+/hHvNd0aMtno -UzSfWMBziyg1acFMbE2FCq/tjEmvNLodi9QkznBeXmT0tKiNpHbWHI09Wque -1uENGXakEsSBgVq9/4OJiza5vBSY046RSWXkNRkKwalPFgSqmeM2dpyXn+af -CyOv6h8CbVx1lIMDJUdBLZdKTg+jkgPsDvG1UCefH+uNrur1K6endM2Uad/d -116pM1lRJ7KG9Vbzd6eXiU0qSFa53dM90rg3tW2klt2Jf9NrupeGqbzRTz7n -4jlv/e2B8ciGVMI40Fd7X6r/eU/Jp55vn+vAyKQy8poSJNdNtqw6HVSCAyVn -Xi2XSg4YTiA1CT4eUcbVo66c6Xs1bZ7ldSn+/jurdMvKsqodjEafqTXk4dl9 -qcVdmqbXaFfFmTzBwONC4hvLXP34AqM5oO2kasFrM225VJI4MFGLSVvq2/u7 -7iC1Py39fHCBBV8qI68pQXJuslUq6QYHSo6KWu6UHDCskD2I8/Uzvh3aVzkO -4xdu3pWcsu/79dtO6W54ytvL8nbPfX6My8asGzUSlOpP4FhTtudGuD416gkt -o0Z7xv81MD5kVXG+QYcaTd6NsI3UQXCGjKVSSePARC0mvLLWe6JrcFT84RMZ -x/LrpAMzYyKpDLymBsm5yUappB8cKDnzajlUcsDwAhUWbHlvt+GTmfpX3JZD -zxomLt4auqO0G2e5AaQaQsMgiVQrCDMPp1IJJUcZOy45wB6RNeYkpV5uHZxy -aSonsYbN0UfRmqwxNyX5QgvhU60gVQ/KBs1IZV0YJbiSSig5Gth3yQH2CIZ0 -dPYvGauU4vKs6MljXnhrb265yOJ3sOlZQ6VtQsTMDVqQStcgqVTWhdGAC6mE -krOGWs6WHAAAAAAAAAAAAAAAAAAAAAAAAAAAgB2DdhUlrFnk5+7ovfzAXckI -2rtkhDg+QtzEZST7DgB2jrQu4/CfIlSF1KXNnRxC8ALocGSEOD5C3MRlJPsO -APYOpuxVaiaUklvRfquLcTabHKaMEMdHiJu4jGTfAYAUTGE36wiSO3s+S6XQ -tHTYMfSO26QqRmx+VSPbd2DEgDRfOv7LvR5zBxcMERSmxQS//m4hC509pbUn -t6wICZj6Mm/W6owG9QviqOhWNv9qO972WySaequPR8+f4vD0WEf/dUcf6G/5 -j3VX8A8VdBC+3EfJaxL7DGHJcR2KluywGeGG7efMOE4RrlcFR/OrxTAvHE0x -AHAZReuvX65MozABw2SPmgQ3Y5wnsNB1WtZwcv/5JkTdufts2CtOui4wvXeT -wr+5aNLSjJjee4nrD9xoQ+SdJQeWjH/Wa0+1dhsUTNqQf/qPNnnfYaGnoVps -YpGi14T2mcKW41oUgtOr/R14ehtjmnOcqmGOVwVX86v7eZO8cC/FAMBp0I68 -cN91lPf8ZdKhBvdn5RLtGpCscvvsoIO6xjPY40vhsyPU/TApIW+9fLFFezSR -3I50mrS4UKT5exN/hauTq0cfU6cFbKsw7rxJ1Wsi+8xhyXGtvKbsrUnn4mcO -NmIz5zhVlRyvCu7mVyvPOC+4XjAzRSPFyractVHFsJ83YI8oBT8Hui27rl++ -aHfFydhQ/8CvE74Kf8eb5+gbwR/cwp72UYjUmgoVlaR8HJpUOdifDHv8W4jb -ovxO4wFMbkdN981V7nOMmwSw4zVd+0PjuLwxMza1UlTHfgNru6kKlvRrYC2/ -hHkZ8hSTtSkBAG7TXRTmPPOHWsMBiXWeD3jRMUo9w1M0Z70/wWF+Zot24YDs -KCStzU5OLTRZtCC0puwqzYxbG+z6zGjHVYP9yKT3v/X02FBuOhskUaX+VFjw -RdDGQmptmOl6bca+TRxH6jNi06ultBtYU8GOqoIV/SoW80uWl6FOMZybAPtF -+Ps83qzjzUbDTr+7ivj6R7zXdCv/ZEchRfOJBTy3iFKTNsrE1tRg4qJNLi8F -5rRrjwpITeIM5+VFOI/GkthBhdd2xqRXUr2TTddrcvu2cLyz5mjs0Vr15Jru -gUshOPXJgkAjFkZe1T8q21NV4GG7/JLnZchTPMdt7DgvP7wUAwDHEV8LdfL5 -sd5oIUN/pPSUrpky7bv72vUVJncWiK3101Pyqefb5zq0A0dWud3TPdK4uTSZ -Hay3mr87vUxMfeTR85q+fTMGdTB3vOxO/Jte0700TOWNfvI5F89562+bHDyZ -Yk9VYbl+FvNrJi9DnWK4bgLsF6Qmwccjyni0qEfK9L2aVs3yuhR//51VuqV5 -WdUORkchY2uYtKW+vb/BC1L709LPB1dvxDeWufrxBTgPH+GrQh6e3Zda3KXp -gY12VZzJE5h/0oqO10zsD4njWqzRwNqeqsJS/SzndwC8vAx1iuHcBNgxsgdx -vn7Gd4D7RorD+IWbdyWn7Pt+/bZTupvG8vayvN1znx/jsjHrRo0EpfoTONYw -4ZW13hNdg6PiD5/IOJZfJx2Ys8qq4nyDDjXivQiCY0fZnhvh+tSoJ7SMGu0Z -/xeVQwtVr5nat7rjg1jj3GRPVWGRftbzOwhOXoY8xXBuAuwZVFiw5b3dhk+i -6q8wWA4Na5i4eGvojtJu3OUVNlVZ32t6BofMcYrYT1Xgw7X8qriXYgDgPrLG -nKTUy62Ds0zNSEmsYfMoRMWarDE3JflCC9FTvOyqsrbXdAwOreMUsZOqIPke -Z/Kr4miKAYD7YEhHZ/9Cv0opLs+Knjzmhbf25paLLH7nnIY1VNomRIjmxuyq -0mI1r+kZHHrHKcL5qjADR/Kr4nCKAQAAAAAAAAAAAAAAAAAAAAAAAAAAAGCk -g3YVJaxZ5Ofu6L38wF0JbIIDDAVQdQAAkCKtyzj8pwhVIXVpcyeHwGudwFAA -VQcAADmYslepmbZKbkX7rS6muPcqAFgCVB1ADUxhNxfVdiTVvpDc2fNZKoWu -uOwBqQSGvuoAW4M0Xzr+y70ec4MfQwSFaTHBr79baHGHU/Xmz8ej509xeHqs -o/+6ow+03QlQ0a1s/tV2kn3TbCBVJa09uWVFSMDUl3mzVmc0IOzpxA8CCyha -ssNmhOt2YDOvlrIpDVh3Bf9QQYelb4lCKoeLVC12UXWAHaFo/fXLlWkUZiOY -7FGT4GaM8wQWum/33ktcf+BGGyLvLDmwZPyzXnuqddu19N5NCv/mokkjN9tJ -lTWc3H++CVF3uD4b9oqTrukPCzqJg2AZCsHp1f4OPP3dQcnU0jOFSRvyT//R -Ju87+PQ0VIuZHioglcNGqu7n7aDqAHsC7cgL911HeY9jJp16cJC3Xr7Yoh0S -ktuRTpMWF4p0n2GPL4XPjlC3AOWEVBUql2iXk2SV22cHHdS1BbJYJ1kQLEDe -lL016Vz8TMNudIRq6ZmSN/FXuDq5evQxdVrAtgqSRrTKtpy1UcX4UYBUDiOp -/WY5UnXAsEEp+DnQbdl1/YpGuytOxob6B36d8FX4O948R98I/uCW/bSPEqTW -NHTfXOU+R7+fAfb4txC3RfmdRgVtY6moqCTl49CkysEGeCzpxA8CU6nyxszY -1EpRnUmnVAK1TExRg6RBA6RymEnlTtUBw4buojDnmT/UGlYn1nk+4EXHKPV0 -R9Gc9f4Eh/mZLdqraLKjhLQ2Ozm10OQKnsSa+lNhwRdBGwsN2kVL73/r6bGh -3Gh2ZEupyq7SzLi1wa7PjHZcNdjwjh2dBEFgJBWpz4hNr5bidvHGV8vIFCVI -zk2QymEllUtVBwwbhL/P48063mxUg/rdZMTXP+K9plvuJjtKKJpPLOC5RZSa -tI0mtqZChdd2xqRXGt2ORWoSZzgvLzJ6VNTGUlXqDjxFm1xeCsxpx9jUSRAE -BlI7a47GHq1VTz/xhja+WkamyFAITn2yIFDNHLex47z8NP9cGHlV/xAIqRxG -UjlWdXoYVR1gX4ivhTr5/FhvdFWvXzY9pWumTPvuvnZRgcnKP5E1rLeavzu9 -TGxSPrLK7Z7ukcYttW0pVUdPyaeeb5/rwNjTSRgE+lLL7sS/6TXdS8NU3ugn -n3PxnLf+9sDhBV8tI1OUILluglQOH6kcqzpg2IDUJPh4RBmXjrpspu/VdKeW -16X4+++s0q1Ty6p2MDpKmFpDHp7dl1rcpenhjXZVnMkTDDwuJL6xzNWPLzCa -A9pKKiZtqW/v772D1P609PPB1RXLdZIEgYnUAfC6eOOrZWSKEiTnJkjlcJI6 -ABeqDhg+yB7E+foZ3w7tKxuH8Qs370pO2ff9+m2ndHdQ5e1lebvnPj/GZWPW -jRoJSvUncKwp23MjXJ8a9YSWUaM94/8aGB+yqjjfoEONJi9G2EYqJryy1nui -a3BU/OETGcfy66QDc01LdZIGgYnUQXCGNpFaBqaoQXJuglQOI6mDcKHqgGEE -KizY8t5uw8cy9S+3LYeeNUxcvDV0R2k3znIDp6TaVCdtgyRqraDNPJBKZgbt -SKqKe1UH2B2yxpyk1Mutg1MuTdkk1rB5lKBoTdaYm5J8oYXwqVauSLWxTpoG -zahlXRslIJW0DdqRVBVHqw6wOzCko7N/dVulFJdnRU8e88Jbe3PLRRa/gE3P -GiptEyJmbtByQapNddI2SKqWdW00gFQOV6nm1Nqy6gAAAAAAAAAAAAAAAAAA -AAAAAAAAAACrg3YVJaxZ5Ofu6L38wF2JpXussGsNsCFQGAAA2A5pXcbhP0Wo -CqlLmzs5hOBdVRtZA2wIFAYAADYEU/YqNbNYya1ov9XFOJti2s4aYEOgMACA -JpjCblYE7Eiq5M6ez1Ip9IG1hTUq2FGo7Uiqyv4LAwAsAGm+dPyXez3mRiyG -CArTYoJff7fQ4g6k6p2Qj0fPn+Lw9FhH/3VHH2i36kdFt7L5V9vxtt+ynVSV -tPbklhUhAVNf5s1andGAUNJJzc6A3O4K/qGCDiYvISpassNmhBs2dGNuTR+o -CioYxn9EFAYADA2K1l+/XJlGYSqFyR41CW7GOE9goTt2773E9QdutCHyzpID -S8Y/67WnWjcie+8mhX9z0aSrme2kyhpO7j/fhKibjJ8Ne8VJ1wGHTCcdO31i -pQ35p/9ok/cd2XoaqsW0jhwKwenV/g48vV0xLbGmbxiqggqm8R/uhQEAQwTa -kRfuu47yhr9MOungIG+9fLFFe9yR3I50mrS4UKT7DHt8KXx2hLofJiekqlC5 -RLsGJKvcPjvooK5HDqFOenbkTfwVrk6uHn1MnRawrcK0Qygx8qbsrUnn4mcO -dmGzxJq+VqgKSoJN4k8qlQCuFYayLWdtVDFsAQ7YFqXg50C3Zdf1CxHtrjgZ -G+of+HXCV+HvePMcfSP4g/vX0x7apNY0dN9c5T5Hf3N/7PFvIW6L8juNxraN -paKikpSPQ5MqB7u+EeikbYepKnljZmxqpaiO/e7VUBVUrBHG384Lg6y5CQAM -Fd1FYc4zf6g13CsY6zwf8KJjlHrmp2jOen+Cw/zMFu0SANnQltZmJ6cWmixm -kFhTfyos+CJoY6FB72Tp/W89PTaUG03tbClV2VWaGbc22PWZ0Y6rBru84euk -b8cM+NaQ+ozY9Gop7e7VVICqMG+NLP72XRhwbgK4gPD3ebxZx5uNBoN+axXx -9Y94rw2sgZMMbUXziQU8t4hSkx7KxNZUqPDazpj0yl7DGSZSkzjDeXmR0XOu -NpaqUrejKdrk8lJgTjtGppO+HXPgWOusORp7tFY9TaZ7CFIITn2yINCIhZFX -9c8DUBXmrJHH384LY47b2HFefniFAQBDhvhaqJPPj/VGPVb0a76ndM2Uad/d -1640MFmuJ7KG9Vbzd6eXiU1qX1a53dM90ri/tC2l6ugp+dTz7XMdGJlO+nbo -qyq7E/+m13QvDVN5o598zsVz3vrbJgdVpkBVmLFmJv72XRhw3QRwAaQmwccj -yngUqWt++l5Nq2Z5XYq//84q3bK4rGoHo6Ftag15eHZfanGXpsc22lVxJk8w -8Oys+MYyVz++wGgubCupmLSlvr2/EQ1S+9PSzweXXPB10rfDRNUA1uheDVVB -0ZoKP/72XRhwbgI4gexBnK+f/j1nNX017zB+4eZdySn7vl+/7ZTuhq28vSxv -99znx7hszLpRI0Gp/gSONWV7boTrU6Oe0DJqtGf8XwMHIVlVnG/QoUaTd0Rs -IxUTXlnrPdE1OCr+8ImMY/l10oE5LZFOunaYqBrEGucmqAoq1vrBib+dFwac -mwBugAoLtry32/CZUv21AsuhZw0TF28N3VHajTNCOSWVRKdtA8gKnAq1yn6q -QjXcCwMAhhJZY05S6uXWwamnpuYTa9gcQRStyRpzU5IvtMiJP+eGVDM6bRdA -9uBKqFX2UxWqEVEYADCUYEhHZ/+St0opLs+Knjzmhbf25paLLH57nJ41VNom -RMysaXBBKqlOWwaQXbgQapX9VIU5qcOnMAAAAAAAAAAAAAAAAAAAAAAAAAAA -AADbgHYVJaxZ5Ofu6L38wF2JpRuvcNnaMIPLoYbEkcPlaEPuAG4grcs4/KcI -VSF1aXMnh1j6KiGXrQ0zuBxqSBw5XI425A7gCJiyV6mZG0luRfutLsbZd3O4 -WBtmcDnUkDhyuBxtyN0IAFPY0/Ww5M6ez1IpNEW1f2tUsKPccTnUkDhyuBzt -oc8dYAFI86Xjv9zrMVf9GCIoTIsJfv3dQsvbhmK91cej509xeHqso/+6ow+0 -/RBQ0a1s/tV2vJ3I6Jrq/6i7gn+ooIPWm4nS2pNbVoQETH2ZN2t1RoP+O/dM -rGlRtGSHzQg37EDH3Jo+NsgdToggcbSxReK0GDoFuQM4iqL11y9XplGYSGCy -R02CmzHOE1hoad17L3H9gRttiLyz5MCS8c967anW1WPv3aTwby6aNHhjYAqT -NuSf/qNN3jf6ehqqxdQsyhpO7j/fhKg7U58Ne8VpsL0OI2taFILTq/0deHob -b1piTd+wLXJHECJIHB3Dtkic7rdNnILcARwE7cgL911HebdiJu1vcJC3Xr7Y -oq1mye1Ip0mLC0W6z7DHl8JnR6ibeVpkSt7EX+Hq5OrRx9RpAdsqTJuQ4oLK -JdrVE1nl9tlBB7WdgRha0343e2vSufiZg43eaFhTtuWsjSrGT49tckcUIkic -ARxMnAZTp9RA7gCuoRT8HOi27Lr+KEG7K07GhvoHfp3wVfg73jxH3wj+4Ob7 -tIcJqTUN3TdXuc/Rb3KAPf4txG1RfqfxOGFgirEwVFSS8nFoUqWUxAI1a/LG -zNjUSlEd+w2ybZw70xBB4vTgZuIInYLcARyjuyjMeeYPtYaFhXWeD3jRMUo9 -i1I0Z70/wWF+Zov2AphsmEhrs5NTC00WBkisqT8VFnwRtLHQoPGz9P63nh4b -yk0nNvRNkUFoTdlVmhm3Ntj1mdGOqyg3esO3htRnxKZXS2k3yB6A5BBny9zh -hwgSNwgXE0fmFOQO4BbC3+fxZh1vNioF/b4w4usf8V4bWAEmGSaK5hMLeG4R -pSYNoImtqVDhtZ0x6ZW9hpWN1CTOcF5ehPOUJ21TpJBYU6n78BRtcnkpMKed -QYNsrbXOmqOxR2vVUzm6w0QhOPXJgkA1c9zGjvPy0/xzYeRV/WOAjXOnMg0R -JI7LiSN3CnKnlzs9jHIHDBnia6FOPj/WG12Q62e8p3TNlGnf3ddeZzNZ+iay -hvVW83enl4lNMi+r3O7pHmncZ5uRKUbCdPSUfOr59rkOBsOk31rZnfg3vaZ7 -aZjKG/3kcy6e89bfNjmMkEIy/bZl7nQYhggSNwjnEmfGKcgdwC2QmgQfjyjj -ilRnfPpeTT9seV2Kv//OKt2isKxqB6NhYmoNeXh2X2pxl6YxNtpVcSZPMPDk -qPjGMlc/vgDnup62KdrCMGlLfXt/Bx6k9qeln1NeXiAJmso6DbJtlTviEEHi -BuFg4gbAcwpyB3AM2YM4Xz/jO5l9GXcYv3DzruSUfd+v33ZKd7tS3l6Wt3vu -82NcNmbdqJGgVH8Cx5qyPTfC9alRT2gZNdoz/q+B0pZVxfkGHWrEe9+Crina -wjDhlbXeE12Do+IPn8g4ll8npT4pJAhaP9Y4xNkod8QhgsTpwb3EDYLjFOQO -4ByosGDLe7sNn6jUv1K2HHrWMHHx1tAdpd249WlLYUNrjRKcyh0kjjqcSpwK -cgdwFVljTlLq5dbBaZwm44k1bNYPRWuyxtyU5AstRA+k2k7YUFujCldyB4mj -CVcSp4LcAZwGQzo6+xd8VUpxeVb05DEvvLU3t1xk8bvT9Kyh0jYhQnRFb0th -Q2uNHlzIHSSOAVxInApyBwAAAAAAAAAAAAAAAAAAAAAAAAAAAFgDtKsoYc0i -P3dH7+UH7kos3SGFXWuAbYHaAADARkjrMg7/KUJVSF3a3MkhBO9r2sgaYFug -NgAAsBWYslepmcJKbkX7rS7G2W7TdtYA2wK1AQCUwRSwFmAVJHf2fJZKoReq -LaxRAQrDeth7bQAAI5DmS8d/uddj7siCIYLCtJjg198ttLwFJ9ZbfTx6/hSH -p8c6+q87+kC7yz4qupXNv9qOt6sXHan4xi1BWntyy4qQgKkv82atzmhAKEml -ZmdAc3cF/1BBB5NXCBUt2WEzwg1bxTG3pg8UBkUMUzAiagMArI2i9dcvV6ZR -mERhskdNgpsxzhNYaA/dey9x/YEbbYi8s+TAkvHPeu2p1o3F3rtJ4d9cNGmW -RkcqsXGGyBpO7j/fhKgbbZ8Ne8VJ13GGTCodO32hlTbkn/6jTd53WOtpqBbT -OmwoBKdX+zvw9Pa0tMSavmEoDIqYpmC41wYAWB20Iy/cdx3lvXqZtJLBQd56 -+WKL9rgguR3pNGlxoUj3Gfb4UvjsCHUrS4ZSyYwzA5VLtMtVssrts4MO6lrv -EEqlZ0fexF/h6uTq0cfUaQHbKkx7jxIjb8remnQufuZgDzVLrOlrhcKgqtkk -BaRqCbCn2gAA66MU/Bzotuy6/rBGuytOxob6B36d8FX4O948R98I/uDW87QP -QaTWNHTfXOU+R79hAPb4txC3RfmdRqOarlR845aoRUUlKR+HJlUO9kIjkErb -DlNV8sbM2NRKUR37vaehMCiqJUzB8K0NABgCuovCnGf+UGs4RLHO8wEvOkap -53yK5qz3JzjMz2zRXvyTHYKktdnJqYUmyxgk1tSfCgu+CNpYaND2WHr/W0+P -DeVGkzq6UgmMM1Wr7CrNjFsb7PrMaMdVg73P8KXSt2MGfGtIfUZserWUdu9p -KkBhUFJLloJhWxsAMAQIf5/Hm3W82WgY6HdFEV//iPfawOo3ySFI0XxiAc8t -otSk/TGxNRUqvLYzJr3S6J40UpM4w3l5kdETrnSlEhi3QK1K3eimaJPLS4E5 -7RiZVPp2zIFjrbPmaOzRWvUcme7xRyE49cmCQCMWRl7VP1RDYVBQS56CYVsb -ADAEiK+FOvn8WG+0tKFf7T2la6ZM++6+do2ByW0FImtYbzV/d3qZ2KTqZZXb -Pd0jjXtW05NKaJypWh09JZ96vn2uAyOTSt8OfVVld+Lf9JrupWEqb/STz7l4 -zlt/2+SIyhQoDPNqzaRg2NYGAAwBSE2Cj0eU8fhRV/v0vZouy/K6FH//nVW6 -BXFZ1Q5GhyBTa8jDs/tSi7s0TabRroozeYKBZ6bEN5a5+vEFRhNhOlJJjDNR -i0lb6tv7W9wgtT8t/XxwvQVfKn07TFQNYI3e01AY1NRqwUvBsK0NABgKZA/i -fP2M7wn3VbvD+IWbdyWn7Pt+/bZTulu18vayvN1znx/jsjHrRo0EpfoTONaU -7bkRrk+NekLLqNGe8X8NHCRkVXG+QYcaTd4OoSqV1DgTtZjwylrvia7BUfGH -T2Qcy6+TDkxoiaTStcNE1SBWOf5AYZhXOwhOCoZxbQDAUIAKC7a8t9vwaVL9 -VQLLoWcNExdvDd1R2o0zNq0vlZ5BEqm2jSErQGEYwpraYVAbADA0yBpzklIv -tw7OOzXVnljD5tihaE3WmJuSfKGF8NFeK0ulY9CMVNvFkD2gMPRgUe1wqA0A -GBowpKOzf7FbpRSXZ0VPHvPCW3tzy0UWvzdOzxoqbRMiZlYzrCaVnkFSqbaM -IbtAYbCtdvjUBgAAAAAAAAAAAAAAAAAAAAAAAAAAAMActKsoYc0iP3dH7+UH -7kpG0OYpI9ZxwFZAyQEAZaR1GYf/FKEqpC5t7uSQS0Jb6xkyRqzjgK2AkgMA -6mDKXqVmAie5Fe23uhhn78xhyoh1HLAVUHKAPYMpbHOpL7mz57NUCm1Yhx1D -77itUswAO5JqR4zYsQZwDKT50vFf7vWYG+QYIihMiwl+/d1Ci1tvq7eDPh49 -f4rD02Md/dcdfaDtV4CKbmXzr7bj7EGGdVfwDxV0EL5dSM0Fae3JLStCAqa+ -zJu1OqOBpTfpFS3ZYTPCdVuWEbtA25QGc45TxA5SbEOpOIXBls6RW3IAYCGK -1l+/XJlGYY6EyR41CW7GOE+wvPW2qvde4voDN9oQeWfJgSXjn/XaU60btb13 -k8K/uWjY2g2TNuSf/qNN3jcMexqqxSaDhqILsoaT+8839f2Qsu1s2CtOBk1z -GKMQnF7t78DT304TzwVmpsw5TtUw91NsU6kEhcGCzhFbcgBgKWhHXrjvOsr7 -FDNp04ODvPXyxRbtoUpyO9Jp0uJCke4z7PGl8NkR6jaeuv/cxF/h6uTq0cfU -aQHbKowbiVJ2AZVLtAtAssrts4MOGrf8YeJIU/bWpHPxMw3bt5m4wMyUOcf1 -ULblrI0qxg+BHaTYtlIJC8NyncO45ADAqigFPwe6LbuuP8jQ7oqTsaH+gV8n -fBX+jjfP0TeCP7jtPu2jAak1Dd03V7nP0e9wgD3+LcRtUX4nxWFG1wUVKipJ -+Tg0qVJqaoumC/LGzNjUSlGdSWtRIhcYmKIYhKZjby/Cf6zKjlJsY6mmhcGS -zmFZcgBgVbqLwpxn/lBrOJvDOs8HvOgYpZ6EKZqz3p/gMD+zRXttT3Y0kNZm -J6cWmqwrkFhTfyos+CJoY6FBy2fp/W89PTaUU5yz0XNB2VWaGbc22PWZ0Y6r -TNu30XIBqc+ITa+W4ra9JnSBvilKkJyb7CjFtpSKXxhs6BymJQcAVkX4+zze -rOPNRiNDvyOM+PpHvNcG1slJjgaK5hMLeG4RpSYr6sTWVKjw2s6Y9Mpew8ke -UpM4w3l5EcUHWOm6oAYTF21yeSkwp93wh+m40FlzNPZorXoGije6iV2gbYoM -heDUJwsC1cxxGzvOy0/zz4WRV/XPA3aUYhtLVZkWBjs68Swz0MmxktPDqOQA -wHLE10KdfH40XgXXL+ae0jVTpn13X7sawWSFn8ga1lvN351eJjYpalnldk/3 -SOMm22y50E9Pyaeeb5/roDigTK2V3Yl/02u6l4apvNFPPufiOW/97YEjDLEL -tE1RguS6yY5SbEupOgwLgx2deJbp6+RYyQGAVUFqEnw8oowLWl3M0/dq+lXL -61L8/XdW6ZbOZVU7GB0NTK0hD8/uSy3u0jTwRrsqzuQJBp6vFd9Y5urHF1B8 -RIi6C5i0pb69v68OUvvT0s9NF1jouaAFr+01sQu0TVGC5NxkRym2lVTiwrBU -5zAuOQCwLrIHcb5++rep1fQVs8P4hZt3Jafs+379tlO6m7ry9rK83XOfH+Oy -MetGjQSl+hM41pTtuRGuT416Qsuo0Z7xfw0ct2RVcb5Bhxopv65B1QVMeGWt -90TX4Kj4wycyjuXXSamvQhAEpB+c0U3iAl1T1CA5N9lTim0jlbgwLNU5nEsO -AKwMKizY8t5uw4dF9RcBLIeeNUxcvDV0R2k3jeVru3KBXWGUsKP4cEqqvehU -ca/kAIAVZI05SamXWwdngZpiTqxhc5RRtCZrzE1JvtBC+y0Q+3GBXWFUsZ/4 -cEaqvehUcbTkAIAVMKSjs39ZXKUUl2dFTx7zwlt7c8tFFr8WTs8aKm0TIgwf -+LEHF9gVRg97iA+HpNqLTnNSbVlyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAMZ9CuooQ1i/zcHb2XH7grGUFbfY1YxwEbAlUHANSQ1mUc/lOEqpC6tLmT -Qwj2SxiOjFjHARuCV3WYuOL0hUb9LShM/4KLvD595XZoHAUMUzBlr1Ize5Pc -ivZbXUxxR/NhwIh1HLAh+FUnb8rasO+2/lYVpn8xRV5/aGkU1R4EAGAAprCb -i3bJnT2fpVJo8D3sGHrH7agqACthXHWS8n+uPGKw66DpX4xQNB59N+KaiPg/ -ACMLpPnS8V/u9Zg7uGCIoDAtJvj1dwst7oKt7ql2csuKkICpL/Nmrc5oUO+n -gopuZfOvtlPe47VfU2/18ej5UxyeHuvov+7oA/02QVh3Bf9QQQfhu/DUvDbV -yQKKluywGeG6DTYZOY5vSoM5xylig6rAz6b5+FCSSlIqDGFSwyOq6qR3/7F4 -p0G3X9O/GKBs4od+doWFwwswHFC0/vrlyjQKc2xM9qhJcDPGeQLNrgR4yBpO -7j/f1DfmlG1nw15x0nVh672bFP7NRZMmoMT03ktcf+BGGyLvLDmwZPyzXnuq -teMYkzbkn/6jrW+GhvY0VItNLFL0mkCnZSgEp1f7O/D0N3+m7TihKXOOUzVs -i6ogzCZpfChKJTbOEAY1POKqTnhp6VzDQJv+RQ+lIOv9VZeFcAUO9IF25IX7 -rqO8RT6Tbm64PyuXaNeAZJXbZwcd1PVpwx5fCp8doW4fTQl56+WLLdo6l9yO -dJq0uFCzHCBv4q9wdXL16GPqtIBtJndWKXtNpNMC5E3ZW5POxc80bDZK03Ei -U+Yc10PZlrM2qhg/BLapCqJsqiGMD1WpZMaZQbuGR2DVScqiZ7xt0OvX9C+D -oK3/++HKi51wagJU6onKz4Fuy67rDxe0u+JkbKh/4NcJX4W/481z9I3gD3Z8 -oX0UIrWmQkUlKR+HJuld42OPfwtxW5RvUp/kdtR031zlPse4pw47XuPoZOq1 -vDEzNrVSVGfSCJu+44SmqEHS8snGVaHGJJsE8aGdSlzjlqilXMMjsepkD/41 -09ug/6/pXwZ/9FFO2MfnqTYGBoY53UVhzjN/qDUcpVjn+YAXHaPU0ylFc9b7 -ExzmZ7Zor9LJjkLS2uzk1EKTFQJCa8qu0sy4tcGuz4x2XDXYD1R6/1tPjw3l -phN+ElXqT4UFXwRtLOyiVNj0vMbXychrpD4jNr1aqpLXmw5tmo6TmaIEybnJ -llXR/ylONvHjQ1cqgXGmaunU8EisOnndfh+XFfrPi5r+ZeAX2/M+XpbziHKX -SGB4I/x9Hm/W8WajGtdvRia+/hHvtYEVb5KjkKL5xAKeW0Spydo4sTU1mLho -k8tLgQNX+UhN4gzn5XgPkZLYQYXXdsakV1K9vU3XazydDLzurDkae7RWPf3E -G9q0HCc3RYZCcOqTBYFq5riNHeflp/nnwsir+odqG1cFfjbx40M7laSlYtUa -HolVp2j46XWn966Jyf6ic7Xzt5X//b+tcGoC+hFfC3Xy+dF4PVu/LHtK10yZ -NnANzuTOArG1fnpKPvV8+5zuUl5Wud3TPfK2hLodrLeavzu9TEx9LYCu13g6 -zWFqrexO/Jte0700TOWNfvI5F895628PHF7oOG7GFCVIrptsWRWE2cSPDz2p -9EvFjEEdVGp4JFadvC7Fx3lZUTfZX/rBHl9a9cGpFqbP7gDDDqQmwccjyrg0 -1WU5fe9f6rLsKyV//51VukVwWdUORkchY2uYtKW+vb8fGlL709LPB1ctxDeW -ufrxBTg1iq8KeXh2X2pxl2a6hXZVnMkTmH/8irrXxDqZeD2AovHQ31yMpp10 -HScxRQmSc5OtqoI0m/jxoSOVSamQGKRbwyOx6pDqPT6em/UfyTH9i/bnClaH -8o0vKoGRjOxBnK+f8W3hvrJ0GL9w867klH3fr992Snd7Vt5elrd77vNjXDZm -3aiRUL74xrGGCa+s9Z7oGhwVf/hExrH8OunAtFBWFecbdKgR760LHDvK9twI -16dGPaFl1GjP+L+oHG+oek2sk4nXg+AMbXqOk5qiBsm5yUZVQZpNovhQlcq0 -VAgN0q/hEVh1vXe+mhGY2YKS/UWD6Nrn7x17yOxlK2CYggoLtry323Aeo385 -bzk0rGHi4q2hO0rxdzVhUxWnvFYNoeMUsaP4WF8qPYM2lcq1qhMVfvDG1wYO -m/5Fjbgocmk65QcngRGDrDEnKfVy62BlaMoysYbN8ULFmqwxNyX5QgtRhbKr -ijNeq4bacYrYT3ysLZWOQRtL5VjVIdWJIRsM3hw2/YuanpKYJQfr4NQE4IAh -HZ39C9wqpbg8K3rymBfe2ptbLrJ4/ZeGNVTaJkSIli/YVaWFC16rbOE4Rewh -PtaWSs+gTaVyruqQmoNhu+72kv5FjeTWpsX7h3ruBQAAAIxA0M4/tsVe0H+M -w/QvGiTlsYsTHozAHZkBAACAoQXrvnPiaEkXSvaXfqT3d34YXwWnJgAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHsA7SpKWLPIz93Re/mBu5Jh2BFs -eDs4vL1TjQAHAQDAQ1qXcfhPEapC6tLmTg4h2DTUnhneDg5v71T4DmLiitMX -Gs2+SiOvT1+5nayfPQAA3AVT9io1k1HJrWi/1XiNLO2c4e3g8PZOReSgvClr -w77b+Lub6pDXH1oahdduDwAAimAK2y9VSO7s+Sy1Zhi/1j28HRze3qlMHZSU -/3PlEbItrxWNR9+NuCYaAmkAwH2Q5kvHf7nXQ/lMgyGCwrSY4NffLaTV0I0h -qOhWNv9qO053Fay7gn+ooMPMbpD0vMN6q49Hz5/i8PRYR/91Rx9QbbRuCUPr -oEpae3LLipCAqS/zZq3OaLD6HpdD7J0WRUt22IxwBo2l6EPPQendfyzeWSk1 -/c/9KJv4oZ9dGYphBQBcR9H665cr0+jMXTHZoybBzRjnCTSbjTKn925S+DcX -Ow0GOSZtyD/9R1vfFBTtaagWExzh6HrXey9x/YEbbYi8s+TAkvHPeu2pHpIN -iofOQVnDyf3nm/qcUradDXvF6VOTjgFWYOi8031NcHq1vwOPSdNDRtBxUHhp -6VzCqlIKst5fdVlo+/UIALA1aEdeuO86+mNYVvVPs42wlW05a6OKWTk8YI8v -hc+OuCoaGLTyJv4KVydXjz6mTgvYRnDrmLZ38tbLF1u0xw3J7UinSYsLSZZX -7NBBFSqXaJdiZZXbZwcdrCdcX7JH77TGs7cmnYuf6Wzm3GQbByVl0TPezmnH -Pf2grf/74cqLnXBqAgCl4OdAt2XXcccn2l1xMjbUP/DrhK/C3/HmOfpG8Adb -I1M6N5H03Tb4nTvZ+xIOneCn71n332EfRF/FmzZij38LcVuUT2/YMvZOQ/fN -Ve5zjJtYG9q3XwdRUUnKx6FJxItLduudvDEzNrVSVPejj9lzk00clD3410zv -7+7jBR59lBP28fkOODUBgKq7KMx55g+1BMdfrPN8wIuOUerpoKI56/0JDvMz -W7RrE2ydm9DHv2+ev+TgX+rjirw22fvlt84+MtnHXo30/reeHhvKaT1ay9g7 -9afCgi+CNhZ2kR0o7NVBZVdpZtzaYNdnRjuuyjVpaKPDLr1D6jNi06ulKnk9 -O+cm9h2U1+33cVmB92gi1p738bIcfPMAMMIQ/j6PN+t4M9HhSdMZOalWs8gl -vv4R77WB2xMk5yaF4NQnCwLVzHEbO87LT/PPhZFX8Q7z3SXRbq6R/UaVzcff -4AWcbMEXg9QkznBeTu/ZWsbeqVDhtZ0x6ZX4T0IMBwdV6tdtija5vBRovLxk -z9511hyNPVqrOY8Qn5ts7KCi4afXnd67ZqoM6/xt5X//byucmgCgD/G1UCef -HwnvOegP/57SNVOmDaxFsHPd1FOy6tVJoVc1t3TQtl/m8f6W/hDneSfND1Zu -93SPvC0h98cQht5hvdX83ellYrNrK/bq4KC6Tz3fPke0hmR/3pXdiX/Ta7qX -hqm80U8+5+I5b/1twoc9bOOgvC7Fx3mZ6UkMe3xp1QenCM58ADDSQGoSfDyi -CEeUevhP3/uXevj3DSl//50DDSJlVTtYODd15geOfS7ghHpqLHvwfwMmzUgm -WsFRiW8sc/XjC8wPXaXwZvb/3upS/0dG3iEPz+5LLe5vkIl2VZzJExA+qWeP -DmLSlvp2RHM6Qmp/Wvq5JWt63PNuAEXjob+5WLymZw0Hkeo9Pp6bTZ/+6CpY -HconvEgEgJGG7EGcrx/hDf++4e8wfuHmXckp+75fv+2U7l66vL0sb/fc58e4 -bMy6USMhXIQwP/YVrWc+nT722clvr/l+z7bZE6bFETZHllXF+QYdaiSYtBpo -Llzh6rqiQLNCQ9s7ZXtuhOtTo57QMmq0Z/xfxA+R26GDmPDKWu+JrsFR8YdP -ZBzLr5MSXxzaoXd60lg5N1nDwd47X80IzGwxHjWia5+/d4zoogwARiCosGDL -e7sJHuLVXzaxLqJr4U7uW4h2EcPExVtDd5SSb/aCB0e8Uw13B4e3dyo2HRQV -fvDG1yaGxEWRS9PJngkFgBGIrDEnKfVyK87A0Az/xBrrD//um2ucXdbdwl++ -kTXmpiRfaGE4cDngnWq4Ozi8vVOx6SBSnRiyweSF556SmCUH6+DUBADGYEhH -J2I061OKy7OiJ4954a29ueUi662DY70N17O2+Y192u2734V4P4NK24TG2mj+ -hO28Uw13B4e3dyq2HURqDobtumt81SS5tWnx/qE5ywIAAACAAWjnH9tiL5g8 -fSIpj12c8GAY73gLAAAAcBWs+86JoyVdJs8OSe/v/DCe8CkLAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAACsA9pVlLBmkZ+7o/fyA3cl0N/NBsgf -Hlv25r8q4Wlqi+FgJK06vjjo70hB1njhdIX5ng0WfmVEI63LOPynCFUhdWlz -J4f07wCKiStOX2gkL3jTOEPkGYFJqn7eG+c3ezscYSyEk5HEG18swUl/RwZY -9+19GzKb6Gy2xeArIx1M2avUnE8kt6L9Vuvaksqbsjbsu024h6dpnCHyzECF -RYdP3Gv+fYkfHGEsg6ORxB9fLMBRf0cE8oYjK/9ZTqspG4OvMAFTDMOLA8md -PZ+l1gwWuaT8nyuPEGwQbRrnIYq8WewsNXJB3qH/14Sougq4eISxp2ByO5Iq -0/FlIZz3dzgjrdy55B93peb/I/lXsN7q49Hzpzg8PdbRf93RB/jNxlVI86Xj -v9zrMTcUMURQmBYT/Pq7haS9BWmhaMkOmxGua7iDim5l86+2W7WdjeEvasC6 -K/iHCjoM9juT3v3H4p2VeAkwjTODZHE4NfjCLEwNKryasG7TviOH9321LvGa -ULOBj6w68YPFS5YuXRoSMGGce/DqQ/WMtz3lbDBV0tqTW1aEBEx9mTdrdUaD -2sHhEEl6X8QbX5Sxsr8AXWTVu+e+S291Fu8rvfcS1x+40YbIO0sOLBn/rNee -atMcKlp//XJlGoUpDSZ71CS4GeM8wUzfWxooBKdX+zvw9JvB9d5NCv/mYqe1 -9pg2/UVM2pB/+o+2vksktKehWjzww8JLS+fixcs0zgySxeHUEAtjnhq0I+/j -aX/Pbu37qrLl1IJp4ec79LeXExV+ELDDktkvZ4Mpazi5/3zf/F6lbDsb9orT -p9ouGfYdSXpfJBpf1LC2vwBd0EdngmasL6OzSIT3FXnr5Yst2hKR3I50mrS4 -UGT8tY68cN915I1C9ZBV/dNsT3bKyJuytyadi5/pbNCoFHt8KXx2xFWRNRZU -TH9R3sRf4erk6tHH1GkB2/Sav0nKome8ndNuLMM0zgySxeHUkAljmhplc4bf -pFlH+tu7KhrTfCYF/KzfxpzCEUbZlrM2qpggFpwNpgqVS7Qrg7LK7bODDtZr -V4ntOJL0vkg8vijBgr8Au0jvfuM5cyet7fPNfaX75ir3OSaNrpWCnwPdll3X -r1S0u+JkbKh/4NcJX4W/481z9I3gD/a9pj1mia3JGzNjUytFdT/6GJ6b+sbt -byFui/I7GZ6cGPwiLrIH/5rp/d1945U60zgzSJYhnEsNoTDC1CCCSykr5r7x -2ZFDCZtXBLp4hv+7KOfg9qgPfZ3f2Fgg7Lr+4cTxA0e5rivBL05aVkTvtrj5 -RupEmvu/bttgoqKSlI9Dk/SWiO02kkzKhgyr+wuwi/jGR5Nn7qfVEJP8K5iw -4IugjYVdxkOhuyjMeeYPtYbfwjrPB7zoGKWe1Smas96f4DA/s0U7VyEbs9La -7OTUQpOFCnxrSH1GbHq1VCWvNz1TSO9/6+mxoZzmFMuSX8RDXrffx2WFyZNF -pnFmkCwDtVxLDZkw4tRIyr90nhh8pg1VYe05gQ68Vf95jKoUDak+r/79Ut3F -wHETB44p4usfjh83/3d61yQUj6hcDKayqzQzbm2w6zOjHVflDjRxstdIknlq -7ov4WNlfgF1EhSGv+vzfBsPbpQrBqU8WBBqxMPJqfxXgfkULKry2Mya9Eue+ -pvD3ebxZx5uNxpmm7XVSreYSXXz9I95runVysjGraD6xgOcWUWrcdxrPWmfN -0dijterZFt6ZAqlJnOG8HGd6RB4BC34RD0XDT687vXfN+P+ZxplBsgbhXGp0 -/wdfGGFqVL0Vm90c+z8RX//gVfdt9/ouErBHZ/0m/e3Eg6sfTHhpkW72K7qy -8CWqs9/BMM5xGzvOy48ojGSa1dg4mCr1S3NFm1xeChxYJLbXSJrxlPyLuFjb -X/IBCNBEfP19J5+BxWnLvoL1VvN3p5fhvxUqvhbq5POj8bf0a6+ndM2UaQNL -W0zW4U2tld2Jf9NrupeGqbzRTz7n4jlv/e2BgSyr3O7pHnmb+SPZtH8RD3ld -io+z6UAwjTODZGnhYGr6rREKI04NyREmo7HhmO/EgbsGD4/MmuR3QkDvprj5 -2T5ng6mjp+RTz7fPdWj12WskyTw1+0VcrOwvwC695THTXk+sofNgJMFXkIdn -96UW9zfdRLsqzuQJDP4HUpPg4xFlPELUtTd971/q/9l3hPb33znQnVNWtYPR -mMW3plLf3zz0NxejqxjxjWWufnwLSpD2L+KBVO/x8dxscvPWNM4MktX/A1xN -DYkw4tQYH2G26h1hmpFHOR9NC1Ev26jQtjOLpi/PbTdpA0uOuSMqR4OJSVvq -2xHNsRqp/Wnp54NrevYaSSJPKX0RFyv7C7CLUnBiro8mRxZ9RdmeG+H61Kgn -tIwa7Rn/l1G9yB7E+foZ37fsqz2H8Qs370pO2ff9+m2ndLc65e1lebvnPj/G -ZWPWjRoJ5RIhsNYPzplCVhXnG3So0YKXnOj+Ii69d76aEZjZYuymaZwZJIvD -qSEVRpQaDGm5kjz3+ed8dv2nrrMm/388nhnrt/dyY8edrAjH/3p1Ff+WCHlc -EP/FpqQj/07eEplQ+Jj2vIP0iMrZYGLCK2u9J7oGR8UfPpFxLL9OOnBFYb+R -xPeU2hdNsb6/AMv0VnwdsOIG1SdemX5FDSos2PLebsPLA/1rdsuhZw0TF28N -3VFKuF8Q+79IgKjwgze+xnnm1TTODCNvluGYGpvBqWDadSTZjhtgZ/T8GbMw -nt5zyQy+0o+sMScp9XLr4JxSU3sMVqnwoWNN1pibknyhxcJ96djQj1Qnhmz4 -E++OlGmcGUfeLMMuNbaEK8G0+0iyGzfA3ui9+6/QeHpvlTH4ig4M6ejsXxZX -KcXlWdGTx7zw1t7ccpHFV9D0rKHSNiFi4WSSHf1IzcGwXXfxH2M3jbMFkTfL -MEqN7eFCMO08kuzGDbBHlO35mzf8RuvOH4OvAHignX9si73QTjTyTOMMkQcA -YMSAdt08/O/btJ7IZPAVwBis+86JoyVdZCca0zhD5AEAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAALkT88tuzNf0FnT2agXUUJaxb5uTt6Lz9w -V8La8/1WMjtygLwAgF2DSap+3hvnN3s7nJsYIa3LOPynCFUhdWlzJ4dQ6fVq -S7MjB8gLANgzqLDo8Il7zb8v8YNzEzMwZa9SM3uW3Ir2W23SwphjZkcOkBcA -sF/kgrxD/68JUXUVcPHchCnsacVEcmfPZ6k1rMfQSmYtxI5SM6LyAgwPsN7q -49Hzpzg8PdbRf93RBwQdnpHmS8d/uddDPhSpmaKDtPbklhUhAVNf5s1andGg -3owZFd3K5l9tZ9pxChVeTVi3ad+Rw/u+Wpd4TajZK0lWnfjB4iVLly4NCZgw -zj149aF6xrs+sxhM9WapgsK0mODX3y2k1XePhjBGwSTxEeuu4B8q6GC2Kyle -algwa4yiJTtsRjhRTzEbpIatIrfzvACAEb33EtcfuNGGyDtLDiwZ/6zXnmrT -A7Oi9dcvV6aZnR1RMUULWcPJ/ef7rmdUyrazYa84fapto9F7Nyn8m4udDIYE -2pH38bS/Z7f2fVXZcmrBtPDzHfo7+YkKPwjYYcl1E4vB7Bv5skdNgpsxzhNo -9oSlJ4x2MAlNYdKG/NN/tMn7wtzTUC2mmR7C1Fhm1hiF4PRqfwcefr9Lm6SG -rSK377wAgDHy1ssXW7RFLLkd6TRpcaHI6L/0VWe47zrzzWspmKIJKpdoF01k -ldtnBx2s17bhwR5fCp8dcVVE97pM2ZzhN2nWkYea+aiiMc1nUsDP+p26LT03 -sRhMLbKqf9LuV05TGM1gEpmSN/FXuDq5evQxdVrANpxGkaQQpcZCs8bim7K3 -Jp2Ln+mMd26yTWrYKnLu5kXZlrM2qpj9dqDACKL75ir3Oca9tFVKwc+Bbsuu -69cW2l1xMjbUP/DrhK/C3/HmOfpG8A17sROYIoTcICoqSfk4NKlysBM79vi3 -ELdF+Z0m4xYRXEpZMfeNz44cSti8ItDFM/zfRTkHt0d96Ov8xsYCYdf1DyeO -Hzgsd10JfnHSsiIr3cZlJ5i0D4AMUkMUTJazbPvUyBszY1MrRXU/+uCdm2yc -GupFbm95IW1MDwDmwYQFXwRtLOwyHgrdRWHOM3+oNSx0rPN8wIuOUepZnaI5 -6/0JDvMzW5RmTamR1mYnpxaarFUQGlR2lWbGrQ12fWa046rcgS5P0vvfenps -KMeZrUnKv3SeGHymDVVh7TmBDrxV/3mMqhQNqT6v/v1S3cXAcRMHhpb4+ofj -x83/nYUbBqawFUyyAyDdSBIKIwwm8yzjYtvUIPUZsenVUpW8Hv/cZMvU0Cxy -+8oLnJsAi0CF13bGpFfi3LwX/j6PN+t4s9E407SKTqrVLCKIr3/Ee+3TgZ7q -xKb6UDSfWMBziyg1acBOYrAPTFy0yeWlwJx2rVGkJnGG83K8CVxvxWY3x/5P -xNc/eNV9272+mSj26KzfpL+deHD1gwkvLdJNAkVXFr5EdRKoEJz6ZEGgEQsj -r+IfANgLJskBkEkk8YURB5NplvGxZWpkNUdjj9aqLy+Izk02To2KTpHbV17m -uI0d5+VHPmQAABest5q/O70Mv1mf+Fqok8+P9UYLBPqjo6d0zZRp392XmjVF -BpFBHT0ln3q+fa5Da1dWud3TPfK2xNQOyUDLaGw45jtxYPH84ZFZk/xOCNi+ -ictiMJnd1KCdGuJgsptlG6ZG9iD+Ta/pXhqm8kY/+ZyL57z1tw3OHbZMjQ6q -RW5XeYHrJoApyMOz+1KL+1vPol0VZ/IEBg+XITUJPh5RxiNEPTqm7/1L/T/l -dSn+/jurZOZNkYFnEJO21LcjmoGG1P609PPB5Q7xjWWufny8QWI80LbqDbRm -5FHOR9NC1KsXKrTtzKLpy3PZbu3OYjDVyKp2MDoA0koNcTDZzbKNU6NF0Xjo -by441022Sg2TIrervMC5CWCEsj03wvWpUU9oGTXaM/4vo4qWPYjz9TO+s9o3 -OhzGL9y8Kzll3/frt51S34ylYIoEHIOY8Mpa74muwVHxh09kHMuvkw5MB2VV -cb5BhxpN3v/AkJYryXOff85n13/qOmvy/8fjmbF+ey83dtzJinD8r1dX8W+J -kMcF8V9sSjry7+QtkQmFj9m9aGIxmGrk7WV5u+c+P8ZlY9aNGgnlIwLd1BAF -k4EpEmycmkGIzk02Sg39Ise3w928wLkJsBqosGDLe7sNHxPVX1VgBRoGMXHx -1tAdpd12uXBt/WDSs0YaTNazzGk4lRrICwBQQdaYk5R6uXVwTqkZHYk1LJ+b -qBiUNeamJF9oofp4OgexcjDpWDMTTNazzHW4khrICwBQBkM6OvuXxVVKcXlW -9OQxL7y1N7dcxMbaCw2DqLRNiNjlFZM+VgsmPWukwWQ9y/YBF1IDeQEAAAAA -AAAAAAAAAAAAAAAAAAAAAABGCmhXUcKaRX7ujt7LD9yVcOiJEM4KGzIgApZj -pRhCagDAykjrMg7/KUJVSF3a3MkhHHqdkbPChgyIgOVYKYaQGgCwNpiyV6mZ -9kluRfutLrZSdw8GcFbYkAERsBwrxRBSA+jAFHDZbF0kd/Z8lkqhPeuQw1lh -QwY3I2BfQ9JKMeRmagAypHWn475LSE3/ceeXq74+3YTzLjrSfOn4L/d6zNU3 -hggK02KCX3+30PLGO1hv9fHo+VMcnh7r6L/u6APtlv+o6FY2/2o73hZjdKTi -G7cEae3JLStCAqa+zJu1OqMBoSSVFFR4NWHdpn1HDu/7al3iNaHejm1YdwX/ -UEGHZS9dMo4AyRfNCYPUUIJaBOxoSOJhmpSBX7EkhlZODTC0KJtPBPlsuqPe -RAx7fHGx1/+5aXTRq2j99cuVaRTmG5jsUZPgZozzBBYaVffeS1x/4EYbIu8s -ObBk/LNee6p19dt7Nyn8m4smbdvoSCU2zhBZw8n955sQdfvps2GvOOma6ZBJ -JQftyPt42t+zW/u+qmw5tWBa+PmO/nGGSRvyT//R1jd/QHsaqsVMhxrjCBB+ -0ZwwSA1FqETAjoYkLgRJsTSG1k4NMMQoGtNmTXpjf3VfoSua/v3m3769Z9BR -pi/f4b7rcHZtxodJUxsc5K2XL7ZoS19yO9Jp0kBXaPUZ9FL47Ah1z08jqEol -M84MVC7RLprIKrfPDjqoawJEKNUMyuYMv0kDTXMa03wmBfysbpUgb+KvcHVy -9ehj6rSAbRU4bX8pwTgCRF80JwxSQxUKEbCjIUkAQVIsjCELqVG25ayNKqYa -WcDaoI8vx3iNe3Xp/xyMi9ly9J7hM5ZKwc+Bbsuu62cL7a44GRvqH/h1wlfh -73jzHH0j+PUDMzjaA4HUmobum6vc5+i3LsAe/xbitii/02gk0JWKb9wStaio -JOXj0KTKwZM7gVSVChFcSlkx943PjhxK2Lwi0MUz/N9FOQe3R33o6/zGxgJh -1/UPJ44fGPtdV4JfpNpslD4EEWA1dJAaRuBHwI6GJO2kmMHqqYF2Hpyjt2JX -gNtzox3mxp5vM1w47i4Kc575Q63h8MA6zwe86BilnicpmrPen+AwP7NFe51M -NhCktdnJqYUml/4k1tSfCgu+CNpYaNDIWXr/W0+PDeVG8x+6UgmMM1Wr7CrN -jFsb7PrMaMdVg+3h8KWqkZR/6TwxWN2zDWvPCXTgrfrPY1SlaEj1efXvl+ou -Bo6bODCuxNc/HD9u/u+W3zDAgSQCzENnAqSGAUQRsKMhSWYKPynmsHJq4NzE -LZDGf69c8sP97vY/dv59/NgZ35bpd/4U/j6PN+t4s1Hp6LePEV//iPfawIox -yUBQNJ9YwHOLKO0x/oDYmgoVXtsZk15pdD8YqUmc4bzceEpEVyqBcQvUqtRd -d4o2ubwUmNOOkUlVQ9II+8SDqx9MeGmRbgYourLwJaozQIXg1CcLAo1YGHkV -/xxCGgHGoTMFUqNiLzV2NCTNmFKZJsUc1k7NHLex47z8yFMDDBW9FVu8ZvW3 -gsG6/vhkskvELb2Tk/haqJPPj/VGywr69dZTumbKtO/ua6/LmSxuE1nDeqv5 -u9PLxCYFIqvc7ukeadw9m55UQuNM1eroKfnU8+1zHRiZVDUkoyyjseGY78SB -lfOHR2ZN8juB15rbIsxGgL3QQWroQRoBOxqS5ML6MUyKOaycGrhu4hRIzb6/ -TV3bf2cV+WvvbF+DVs5ITYKPR5Rxzanrbfpezf+T16X4+++s0i0iy6p2MBoI -ptaQh2f3pRZ3aR60QbsqzuQJBmSJbyxz9eMblx0dqSTGmajFpC317f39dpDa -n5Z+PrhGgS9VjfEo26o3ypqRRzkfTQtRL12o0LYzi6Yvz22n3PebGhQiwF7o -IDV0MBMBOxqSRKaIk2IOK6cGzk3cAuu5m/bFf6/9xw9pB/d8veXwXcN3JmQP -4nz9jO/H9tWbw/iFm3clp+z7fv22U7rbm/L2srzdc58f47Ix60aNhHJZ4FhT -tudGuD416gkto0Z76p0xZVVxvkGHGk3eqKAqldQ4E7WY8Mpa74muwVHxh09k -HMuvkw5EkEgqhrRcSZ77/HM+u/5T11mT/z8ez4z123u5seNOVoTjf726in9L -hDwuiP9iU9KRfydviUwofMzuzJxaBFgMHaSGKhQiYEdDEt8UcVLIsX5q4Nxk -V6DCgi3v7TZ88FL/Ot1y6FnDxMVbQ3eUduPUs/Wl0jNIItUeYDN0kBoWsaMh -aYUsA8AgssacpNTLrYMTNU299d+jYgE61mSNuSnJF1oIHyy2slQ6Bs1J5Tws -hw5SwyL2MyRZzzIAGIAhHZ39C8Qqpbg8K3rymBfe2ptbLrJ4QYOeNVTaJkTM -zHWtJpWeQSpSOQzroVMDqWERexiSVqkiAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAABUaFdRwppFfu6O3ssP3JVY+jgUu9asbXbkQBRACKzl2MUIAgB7Q1qX -cfhPEapC6tLmTg6x9B1rdq1Z2+zIgSiAEFjLsf4IwsQVpy80QndyYGSBKXuV -msmZ5Fa03+piC1vbsGvN2mZHDkQBhMBazlCMIHlT1oZ9t+1zWwwAsAzJnT2f -pVJoG20La9Y2ayGYwm6OGUQBhMBajnVHkKT8nyuPUO7cCAA2AOutPh49f4rD -02Md/dcdfUC1Jw/pF7HuCv6hgg5ab4JLa09uWRESMPVl3qzVGQ36e5wwsTYA -KryasG7TviOH9321LvGaUG+7S4vMDhihFD2k+dLxX+71mAsthggK02KCX3+3 -kIVudabxREW3svlX2/F25CTRRD/Lwzuw+MKGKrZk0BtB0rv/WLyTes9ZABhq -eu8lrj9wow2Rd5YcWDL+Wa891RS3viL8IiZtyD/9R1vflAztaagWUxtesoaT -+8839VlQtp0Ne8VpsAEZI2sDoB15H0/7e3Zr39eULacWTAs/34GyYHYAKtFT -tP765co0ChNgTPaoSXAzxnkCzY4GeBDEs/duUvg3F00anRJDO8vDPbDEwqwf -W1JojyDhpaVzKY92ABhq5K2XL7Zo61NyO9Jp0mJd40iGX5Q38Ve4Orl69DF1 -WsC2Cpye13igcol2wUVWuX120EFt7zSG1nQomzP8Jg20G2tM85kU8LO6yQwN -s8q2nLVRxWL8DylEr+/sGO67rojAgAlMOsHhQRBPFfb4UvjsCHWLbErQzbKF -+TL7u/oe2iSwZMKsHFsz0B5BkrLoGW9T7jgLADak++Yq9znGjWH6ir674mRs -qH/g1wlfhb/jzXP0jeDXy6h8ERdya6ioJOXj0CTqSw2I4FLKirlvfHbkUMLm -FYEunuH/Lso5uD3qQ1/nNzYWCLuufzhx/MDRo+tK8ItU2zQPQLmlC34QlIKf -A92WXdc/gpJGgPYhlG48sce/hbgtyu80PiSxm2U24WRgcYUNTWzZGkGyB/+a -6W3UhRYAOAgmLPgiaGNhF848Cus8H/CiY5R6Rqhoznp/gsP8zBYllS/i/xCR -NWVXaWbc2mDXZ0Y7rqLeClNS/qXzxGB1t0usPSfQgbfqP49RlaIh1efVv1+q -uxg4buLA2Uh8/cPx4+b/Tm/qTPHcRBSE7qIw55k/1BoedEjiSXYIldZmJ6cW -miwa0Yyn9P63nh4byk1n4+xmmS24GFhCYUMUW3ZGkLxuv4/LCniWEuA4qPDa -zpj0SoJbzvoNwsTXP+K9NriaTf5FutZU6pcvija5vBRIebHBuE3ztsE2zSce -XP1gwkuLdNdNoisLX6J63aQQnPpkQaCaOW5jx3n5af65MPIq/vGDOAjC3+fx -Zh1vNjpMEEeA5BCqaD6xgOcWUdpj/AG9eCI1iTOcl+NFgd0sEzAYWD3sL7D4 -woYqtqyMIEXDT687vXeN6qIoANgArLeavzu9TExYy/pjoad0zZRp2qUAs1+k -ZU1HT8mnnm+f67D83JTR2HDMd+LA/aaHR2ZN8jshoHd73vx1E2kQxNdCnXx+ -rDdarCGOAJPbIvTiKavc7ukeeVtC3Q6zLFsOZwNLKGyoYsvKCJLXpfg4013i -BoAhBHl4dl9qcZfm+TW0q+JMnsDk2R31WJi+9y/13/sq2t9/Z5WM2hdxwbOG -SVvq2/t7lCG1Py39nPqanvG5aaveuakZeZTz0bQQ9YKfCm07s2j68tx21KxF -A8ydm8wEAalJ8PGIMj5a4cdTjaxqB6NDKPV4im8sc/Xj452h2c2ypXA0sKTC -hiq2rIwgpHqPj+dmxo+rAIB1UbbnRrg+NeoJLaNGe8b/ZTo++saCw/iFm3cl -p+z7fv22U+pbr9S+iAuONUx4Za33RNfgqPjDJzKO5ddJKc4jMaTlSvLc55/z -2fWfus6a/P/xeGas397LjR13siIc/+vVVfxbIuRxQfwXm5KO/Dt5S2RC4WPa -zzSTnpsoBEH2IM7Xz/guN04E1Mjby/J2z31+jMvGrBs1EsonUVrxlFXF+QYd -asR7EYfdLFsEZwNLKmzIYsvKCOq989WMwMwWmnM1AOAU+msIXLPGdVBhwZb3 -dhtOT20WT0xcvDV0Ryn+ZjV2lhdOBVY1pLFlxZqo8IM3vobLJsC+0YyFxBo2 -RxZr1uwAWWNOUurl1sEpvo3iKWvMTUm+0EL0pLL95YUrgVUNcWzZsIZUJ4Zs -+NPk+Q8AsB+U4vKs6MljXnhrb265yLKNaFi3ZjdgSEdn/80A28UTlbYJEaKl -HnvNCxcCqxrS2LJjDak5GLbrLlw1AQAAAFwB7fxjW+wFys8bAQAAAICVwbrv -nDha0gVPQQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD4oF1FCWsW -+bk7ei8/cFcCXTKtiP2G2n6V2x0QasCekDVeOF1hnR4G0rqMw3+KUBVSlzZ3 -cgiVBrAAQ/BCjYkrTl9olJn7KhWgSIYDVi4SAGARrPv2vg2ZTVbqlY0pe5Wa -45nkVrTfauiSaUXwQy1vytqw7zb+DqI0bEORDA+sWSQAwCryhiMr/1mO086M -XSR39nyWWgNzsyHAONSS8n+uPNJg0WkFimS4YYUiAQBWkVbuXPKPu1Lz/5GC -qdqTW1aEBEx9mTdrdUaD/ibHWHcF/1BBh2Xbb2G91cej509xeHqso/+6ow8I -elAjzZeO/3Kvx8wMkFiqBShassNmhBdpm1SjolvZ/KvteM14WMPwFzXghVp6 -9x+Ld1ZakGP2ioQkiVwrEmqm6GBadVYtEnrj0eIiAQBWkVXvnvsuKwv8soaT -+8839Y0AZdvZsFecPh3YPh+TNuSf/qOtb0qG9jRUi5kee3rvJa4/cKMNkXeW -HFgy/lmvPdWmpxRF669frkwzO/EmlGoJCsHp1f4OvDC9M0Xv3aTwby52WmtH -TNNfJAq18NLSuXjxogh7RUKYRO4VCRVTtCCoOmsVCe3xaGGRAACroI/OBM1Y -X8bGYg0qlyj6p5ayyu2zgw7W968PyJv4K1ydXD36mDotYBtZLzJlW87aqGIx -/ofy1ssXW7QDR3I70mnS4kKRsYKOvHDfdUUEBsxLtQR5U/bWpHPxM531z00q -7PGl8NkRV0XWWMc3/UXiUEvKome8ndNOJoMk+OwVCVESOVgkFEzRhKjqrFQk -tMcjhSIBgCFDevcbz5k7H9Ba4Ue7K07GhvoHfp3wVfg73jzH/8/emcc1ca1x -//rX/dTe3ltrqQqXa0EoqAhqtKJhabWtVKy2VF+Xgu/H1taLihb3ot201gXZ -KtZeUHEBVMT78cpbFGvRIoi4IouilC2yiCwhgZBMkpm8JIQQkpnJnDCBCTzf -v/wAPvOc5/ecM2fOmTmPZ3ByZbcBXHQn9pOAaHMWB2jLl+vTenv52OmG5bRV -ytpTvq5LcvVHHXZdpbYmF5wJiysRVfzM63lv6hh3fvN3nZvRZGaHN+OKpMie -/Dh54jeP6BpKE3z2k0QNuYgm6eskMcNV1KyzWJKQX44KBkkCAH2G+OaiMZMP -VCAOEETTJe/XHELUUz1FTcrHo2xmnqnTLA0oW+6d2bXSz+WloQ7L05GruzAc -dghh1qpZG7JbDLtya95ip8k/lfdsi5muSstTY+KyjRZayK1hlYlhR0qlKnml -8Z1C+uhr9/HrC8yuwYZ+RTLkFQd4zkG077/RBJ/lJOn8LYWIJunTJDHpKlKe -qKiyzjJJQnk5ChgkCQD0GaJs/9G8/1T13ItV1J79dLavAXPW5HT3Tk1N5+hy -zZKHOHeR/es9tmwIcd4m5xG+TJcHui833XXYcA++8eX0wYU3doceKSHZmRZe -e9t+6skagx5olquKmqTZ9q7B94z2oUisNZUdDzterp6okt0psLLISU5L84w7 -vOkgm3lFMhRVv0xx/OgGyd8xCT77SUItImUL+itJaF1FyROarLNEkqD3R+ok -AYC+R5z7sSMPfb9Fvy+03fviDTeDpYC2O5+5v/trI+Kk2PSUmGgvTd575AH5 -B6DiGwGOvJ8N28Kuq8bWHhSGv+UxwUPDOPuhf33Z2f3tdfm6kUFWssN97Jp8 -8/dqkK9Ihrwilue0hGTw64buuYndJKEV0SR9miRmu4qWdRZIEjOSnEGSAECf -0V4Q6jYlsgz15Rx1X5iw/0/1f+vIaC+v3Y9lKkJaV9mAadIfK/9l/r/ZX9PD -nl6IirvVWW4Tbyk6f7G2h99YWQRvfIhhD2fXVTJrOhSCw286GzzFiG8uceEn -15r/FhbyFcnASvfx3DfTvWJAF3wWk8SkiCbpsyTplatoWWeRJEFOcgZJAgB9 -hrI2yYe37SHq/mdHX7AZOWfznpjYqO/WbT+r3nolhNdXTrR18QsJP5qUeCKj -Qoo+LaYddpQN6cEuLwz5i5YhQ93D/zQYKmRPdnnyDbes2XWVxFo3JHcK2eNd -nrMOC3rx/QrqFUlpL9w4yfdMHV0RbZrgs5ckDEQ0RV8lSe9cRco6iyQJepIz -SBIA6Dvai7Z6B91EXWPWX0PgELgwa8tHe3vO/Nh1Fc0aIb61LWDnvV4dBcOK -/6LsBTO2mj8jhiRBBcHgQEkSAGCZtruhc8LR3g/W9gX0VZ4+QCZIi467+qx7 -WsyuqyjWZIL02JjLdb38dooN/7HSSP/1vfnAGJIEEcYGB1CSAADLtBf/GBBe -gjDuKMUFKWvHvPjqO/vTC0SWOvOgFxBYY1PnOjvLrqJZw6X1QqyXHzKy4z9W -dmjxnuJeTYghSRBAMDigkgQAWEbZkLF5/W8NsM48MMGb/tgedhn5xRQDIEkG -NOwkCQCwDd5y++ixfMuU5gH6FaK1MOn4nRYW7imQJAMW9pIEAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY28qcnlrz1I8onqQAlEEwWgWACAwSZ -4PK5Ivh0BQlC8vjU/l38aTtgBOg9EEwWgWACAwSiNT9q/ZnqXh7pNcjAhXlH -kx7WXJvHhxGg10AwWQSCCQwU5FUJy34oML+uGVsQCut5bpPXXjz8/6oxVUsW -F0cAa4qkiuvBtDIgmMCAQVqye973xYi1eYj20pNrZ75h87dhDl6rjz+hqK2N -1WSe/O/DNlMDJYHVZseH+k35MLsFzQsypOWntwT5e4/7p/3UFYlV6oOZcdH9 -1OScBnOr4+DCnIjVm6ISjkZtXB15Q6g510VWGrngg3nz58/39x41fKzfisOV -Zp8Azd1IalHUpS6eFNhVImrQBJOZKRSsLTMBoH+Rle71+ZC2xDUJ7Q8j1x28 -WY/Jm+4cnDfyHx77So17gOLZ/75cFl9meuZGyJ5X194OdRr1XlavR1RZ1ekD -lzpmjSpl/YXF/3L8THvkf3txdOBXV5rMOMkSb7z4idv7qc86/quy7uxst8BL -jfqnjomyF3jv7M3slLOR7Lp27bkVXjb2+uULB0UwmZhCwuoyEwD6F/z5+VmT -1j1AW9GTP7t6pU7bVyX5axztPsgWGdptvBjoudp0QVYtssc/jLNjYUTF5RLt -epasZMe0WYcqtZtoRHNm4LTgHBHq7FdZk8i3m5rwVDO1VQjieXbep/RLZzMY -AZT1aStDblEEgruR7HSvOnVb9K/hk516lNYdBMFkYAoRDmYmAHAZafFX7pN3 -o1aN06P19vKx0w1LXKuUtad8XZfk6o8BeGvR6bAAL9+tERsD35to7+AZnNxd -Xxx5RKW1psJFd2I/CYgu6V6pJJp/83edm9FkNARgtZmxQT4zPk84HLE5yNfZ -PfBYXtqhHSELPZ1mbMgStuQutB2pG5darvu9Zrckr5Wxl2poa4jrw7lIygVn -wuJKRBU/83remwZPMGlMUWI9mQkAXEZ8c9GYyQcqzH1HjxBmrZq1IbvFsGO1 -5i12mvxTeU+zRNMl79ccQtRzREVNysejbGaeqdPO9OhGVGl5akxcttGyB6U1 -Zcu9M7tW+rm8NNRhebquIo300dfu49cXkNROkxR86WTrd74eVxENab429st/ -b8ZViqo43uj3Myuu+A631fV5ce7CkcNnXkN7JmE4nHIuklhlYtiRUqlKXml0 -bxo0waQxpcbKMxMAuIwo23807z9VPbdjFbVnP53ta8CcNTmGHRQX3tgdeqSE -ZJ9YeO1t+6knawx6raZydHS5Zq1EnLvI/vWuVXe6EVVRkzTb3jX4nlGxaGpr -aghx3ibnEb5pDVrnsLLISU5LyWaW7UWbXR06fyPOXTB67PaHHZNa4vkFvt2b -SU9yFowaMbdrdiq6PmcE09lpdwynuw4b7sGnimEnnItkU9nxsOPl6vk+2b1p -sASTxpRqAGQmfe8GgH5FnPuxI0+3+I0C0V6avPfIA/IPdsU3Ahx5Pxua1e+z -bfe+eMPtm0fatQ1zdkmorXXSducz93d/bdT6JyvZ4T52TT7JxhrNCJAoqDrh -aatb1X+aMNWOn1SLtnFteqrPwUg+KAx/y2OCh4Zx9kP/+rKz+9vr8nUD7OAI -Jq0pOqwkMwGAy7QXhLpNiSxDfgkJe3ohKu5WZ6VMvKXo/MXaHiawsgje+BDD -/qbusxP2/6n+S3lFrJfX7sddC/GyxzvNGlENrRHSusoGTNPpsfJf5v+7e+VE -fHOJCz+ZrPcajgDb9EaAGux52iI3f/WyigqvPz93wtJ01LLkpoZTjkZSh0Jw -+E1ng+emwRBME6bosJLMBAAuo6xN8uFpch7lPzWkB7u8MOQvWoYMdQ//06Dj -yp7s8uQbbiB39FmbkXM274mJjfpu3fazXVvE8oYHF/f6vPKi84aUm2USxh2M -xBohvL5yoq2LX0j40aTEExkVUt2UV/Z4l+eswwKjT0kIrO56jM8rL/P2/F7R -VJbx7fiXhvH3XxU0FqYEO/x99PLk+yKsOSt81abohGMxW9ZEZDcjT01ph1PO -RrIbknvTwA8mA1M0WElmAgCnaS/a6h10k+kbyszBhVlbPtpb1GOHV3+to/cg -WCPEt7YF7LzXapUr6pyKpAqCaZrBkpkAYFHa7obOCe/FS+TUyARp0XFXn3VP -UjV91owFRHIYW5MJ0mNjLtdZ8XmBXImkCoLJhEGUmQBgQdqLfwwIt9BXegTW -2NS5yK5SigtS1o558dV39qcXiHq9/oBgDZfWCzGrn5dyIZIqCKZpBl1mAoDF -UDZkbF7/G+ykAgAAAFwCb7l99Fg+1G8CAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAObIn55Y8taPUG/UDPCWvIgv5vLHOkxcerBYwtr3DBYy -O6gAaQDAqiEkj0/t38WftgPuTehIKxKP3hXhKqwi3meMP5Patv1pdlAB0gCA -NYML844mPay5No8P9yYzIJTtSs3UWXJ/LX/FLbbKi1vI7KACpAEA60Vee/Hw -/6vGVC1ZXLw3EQqrWTGRFO77PK6M9QBayGwvsSJdVINMGmAAQLSXnlw78w2b -vw1z8Fp9/Al5/WoVVpN58r8P2+i7IjNTZqCoS108KbCrCBEuup+anNNgVDKH -IbgwJ2L1pqiEo1EbV0feEGrOIZSVRi74YN78+fP9vUcNH+u34nCl2cdasxhP -9ammtdnxoX5TPsxGqjZIjrT89JYgf+9x/7SfuiKxSt1AsyJJ00CitSj5cFaj -eWeukunCglkGbuvRH7poYSHJrVQaACCj/WHkuoM36zF5052D80b+w2NfqfGo -rHj2vy+XxZucGjExZQ6K2nMrvGzs9QvktRdHB351pcmMLoE3XvzE7f3UZx3/ -VVl3drZb4KVG/VNyRdkLvHf25rmJxXh29HzZ8+ra26FOoxAr4ZIhqzp94FLH -k6FKWX9h8b8cP7vbWaIdOZKUDSSkVRnn/qiXd8S4rapUjKgNpS69M2vabT36 -RZeua7OQ5FYqDQCQIX929UqdNoMl+Wsc7T7IFhn8SUdqBnquzjNZv5CBKbM8 -rE7dFv1r+GSnHsVbiebMwGnBOSLURzNlTSLfbmrCU818VCGI59l5n9Kvp93b -exOL8dQie/wDcpV2MnC5RLsCJSvZMW3WoUpt2SHESFI1UF6dHOTi6DK+g3Fu -3tt7lv8zDZUuCGaV9WkrQ25RhJW7unS6x0aSc1caAOgdrbeXj51uWPFapaw9 -5eu6JFe/y+KtRafDArx8t0ZsDHxvor2DZ3Byz0LgFKYooTYoF5wJiysRVfzM -69ltO/rtb/6uczOajPotVpsZG+Qz4/OEwxGbg3yd3QOP5aUd2hGy0NNpxoYs -YUvuQtuRunGp5brfa3ZL8iy0jctOPJHHQHp1cNGd2E8Cokukup9QRZJllS2u -C23Bd9Nu96MuyElubdIAQG8ghFmrZm3IbjHsB615i50m/1TeM8uJpkverzmE -qKd0ipqUj0fZzDxTpzRpSo20PDUmLttooYLcIFaZGHakVKqSVxp1W5X00dfu -49cXkMzWJAVfOtn6na/HVURDmq+N/fLfm3GVoiqON/r9zIorvsNtdV1LnLtw -5PCZ19jbM9BvEUvxpBsDkYLZgbLl3pldK/1cXhrqsDy9oeu/UUbSfJVJsbAu -DO9NnNPFrCS3LmkAwHxw4Y3doUdKSHaIhdfetp96ssagn2nqVkeXa1YQxLmL -7F/v2r+gM9WBoiZptr1r8L02w1+QGGwqOx52vFw9HyTrtlhZ5CSnpWQTuPai -za4Onb8R5y4YPXb7w46HBOL5Bb7dm0lPchaMGjG3axIouj5nBNNJoKL27Kez -fQ2YsyaHfABgL540YyBKMPX+hhDnbXIe4ZvWoHWOOpLmqkyOpXWZ7jpsuAff -ynQxN8mtSxomXQYAjCHaS5P3HnlAXpxQfCPAkfdzpcHqgH7XaLv3xRtu3zyS -mjRFh7HBB4Xhb3lM8NAwzn7oX192dn97Xb6uv8tKdriPXZMvMTZF09ESBVUn -PG11i+dPE6ba8ZNq2d7EZTGe5u1rUFvrpO3OZ+7v/tqo9Y86kuyqbGFdTD83 -cVAXs5PcqqQBALPAnl6IirvVonn1Bm8pOn+xtscbTFhZBG98iGH3UHeNCfv/ -VP+lvCLWy2v3Y5lpU3SQG9SiEBx+09lgSim+ucSFn0zWSQw72ja9jlaDPU9b -5OavXr1Q4fXn505Yms52NXsW46lG9ninWWOgoTVCWlfZgGmGLKz8l/n/7l7T -o44kuypbWBdT9yaO6qIDLcmtShoAQEfZkB7s8sKQv2gZMtQ9/E+DdJY92eXJ -N9xW7egaNiPnbN4TExv13brtZ9U7sQxM0UBisBuSbit7vMtz1mGB0fcfBFZ3 -PcbnlZd5e36vaCrL+Hb8S8P4+68KGgtTgh3+Pnp58n0R1pwVvmpTdMKxmC1r -IrKb2Z0BshhPNfKGBxf3+rzyovOGlJtlEsYjAok1Qnh95URbF7+Q8KNJiScy -KqS6iTVVJMntmKuy5XWhvTdxVpduEJKc3BR3pQEAy4ALs7Z8tLfnO6L6Swqs -gGaQEN/aFrDzXqtVLlxbPp4I1mgjybrKnIZTuqhAGgBggEyQFh139Vn3nFLT -NSLLWL43MTQoE6THxlyuY/qGOgexcDwZWzMRSdZV5jpc0UUF0gAAUwissalz -u0KlFBekrB3z4qvv7E8vELHxgI9mEJfWCzGrfGLSx2LxRLBGG0nWVbYOuKCL -CqQBAAAAAAAAAAAAAAAAAAAAAAAAAAAABgl4S17EF3P5Yx0mLj1YLLH610EA -JoDoAABwG2lF4tG7IlyFVcT7jPFncuQ2YPWA6AAAcBxC2a7UzJsl99fyV9yC -OgWDARAdAFiCUMC6g2WRFO77PI5BedY+BES3NBwUHQAsi7Ti3K5vIuKO/Lz7 -y+Vbz1WTfIiO1WSe/O/DNlOjD4HVZseH+k35MJu96i6KutTFkwK7DhnDRfdT -k3MayM4XQ3GVaC89uXbmGzZ/G+bgtfr4E5RiAhRIy09vCfL3HvdP+6krEqsw -Rq7SggtzIlZviko4GrVxdeQNod6JbURrUfLhrMZefnHJTdHNCWM/Ka4FNT9p -sbToAGBNKGuSZvE2FaoPESOar3zg8X9vG6waKJ7978tl8QwmbITseXXt7VCn -UWwVqlYXgDm3wsvGXv8AzPbi6MCvrhiVbUNxtf1h5LqDN+sxedOdg/NG/sNj -X2kvT36RVZ0+cKkaU5cFv7D4X45dlXToXKUHb7z4idv7qc86/quy7uxst8BL -jZ0DFSGtyjj3R33HrQRvqyoVmztWcVN0M8LYX4p3XR4tP+mxtOgAYF0oBPFT -7WYcKO3o3orqY2+9+fXDHpV+OjpMoOfqngf302BOURtK5NWp26J/DZ/cs+Aa -0ZwZOC1YXfDTAKauyp9dvVKnHZsk+Wsc7XT1ps0Fl0u0S1qykh3TZh3qKgJE -6aoJlDWJfDtdxRxBPM/O+5S6ToK8OjnIxdFlfAfj3Ly3F5HU/NWZqE9bGXKL -KhbcFB05jP2neKdZtPw0gcVFBwArA2++GuoxfPT8bw/tCt1y/GHPl1SVtad8 -XZfk6qc73lp0OizAy3drxMbA9ybaO3gGJ3ef9Y88TFFbkwvOhMWViCqMioES -zb/5u87NaDLo/Kiuami9vXzsdMO6COZ4q/mt6E7sJwHRJd3jPIWrKhVWmxkb -5DPj84TDEZuDfJ3dA4/lpR3aEbLQ02nGhixhS+5C25G68bPlut9rTCuN6jBR -zIiromt+yzSM/as4an72v+gAYHW0F+3xdn15qI1P2KX6nmvlrXmLnSb/VN6z -JxNNl7xfcwhRTw0VNSkfj7KZeaZOu9BAN0xJy1Nj4rKNVjvIrWGViWFHSqWk -haqlj752H7++wGACieqq+rfCrFWzNmSTlohG8rYDZcu9M7tW+rm8NNRheXfZ -PnJX1UgKvnSy9VMXbCMa0nxt7Jf/3oyrFFVxvNHvZ1Zc8R1uqxuYxLkLRw6f -eQ3tscT0MMVB0VVoYexPxdHzU02/iw4AVgQmOLZs3k+PWhv+2P3+yGGTvn6g -X/lTeO1t+6knawz6q37tGHHuIvvXu7YG6IYpRU3SbHvX4Htthr8gsdZUdjzs -eLl6fkrW97GyyElOSw3nlKiuqnDhjd2hR0rI98VRvNX7G0Kct8l5hG9aA0Hn -qhqaKthJT3IWjBoxt2sKLbo+ZwTTKbSi9uyns33VTHcdNtyDr/nnnDU5hoMx -F0VHDmP/KW5OfqrpX9EBwKpoL9riMbWzDgzR8senY5yD7+uNU+IbAY68nysN -VkD0e2vbvS/ecPvmkXYBxpytB2NrDwrD3/KY4KFhnP3Qv77s7P72unzdoCEr -2eE+do1h9Ww0V4n20uS9Rx6Ikbsvdds7abvzmfu7vzYSdK6qoRmmEgVVJzxt -dVsPTxOm2vGTyOpy00A/heai6Ohh7DfFzcpPNf0qOgBYF1hZ1JvjVnZO/LA/ -90/z7FHHGSuL4I0PMexm6t46Yb/m7+QVsV5eux93renLHu80a5git6YiLVSt -Et9c4sJPNuy3KK5iTy9Exd1q0bwGhbcUnb9Yy/i9LTKDhLSusqGz2A5W/sv8 -f3cvRpG7qsZwmNqmN0zVYM/TFrn5q9d+VHj9+bkTlqY3MK773Qn9MMVN0VHD -2I+K62Cen2r6VXQAsDKItuL4Vf9n5fc/xR/at3XL0eKeX4rInuzy5BtuHXf0 -VpuRczbviYmN+m7d9rNdu83yhgcX9/q88qLzhpSbZRLG/YrCWickfV/2eJfn -rMMCo49ImLqqbEgPdnlhyF+0DBnq3mNkRveWEF5fOdHWxS8k/GhS4omMCqku -glSuEljd9RifV17m7fm9oqks49vxLw3j778qaCxMCXb4++jlyfdFWHNW+KpN -0QnHYrasichuRn5v2MQwxUXR0cPYb4p3g5Cf/S46AAwocGHWlo/29nxzVX+V -o/egWSPEt7YF7LzXSrI0Y3lX0QzSuMpxOCW6FSmusmbRAcDqkAnSouOuPuue -nmp6a+d2BQugWJMJ0mNjLtdRvgFsYVdRDJpyleNwRXQrUlxl9aIDgNVBYI1N -nTsBKqW4IGXtmBdffWd/eoGo19+oo1nDpfVCzMSM1GKuohlk4irH4YLoVqQ4 -Q28BAAAAAAAAAAAAAAAAAAAAAAAAAAAAwILgLXkRX8zlj3WYuPRgsYS1PWwL -mR1sgDrcBHQBAAsjrUg8eleEq7CKeJ8x/qx9s2ghs4MNUIebgC4AYGkIZbtS -Mz+T3F/LX3ELrR5Bn5sdbIA63AR0AawZQmFNz+SSwn2fxzGo8coNs4ONQaWO -FXWcQaUL0C8Q7aUn1858w+Zvwxy8Vh9/Ql5AQIXVZJ7878M2Uz2HwGqz40P9 -pnyYzVZZdpVKUZe6eFJg15FluOh+anJOg9FpZfRIy09vCfL3HvdP+6krEqv0 -P/EnWouSD2c1mvedJi7MiVi9KSrhaNTG1ZE3hHqnyfXKrM4Ie9IwM2UGoA73 -Oo5xPM3TRUtPiTvd5bAuwECh/WHkuoM36zF5052D80b+w2NfqfHhLIpn//ty -WTyDyQwhe15dezvUaRRbZdnVxWnOrfCysdc/TrO9ODrwqytGReCokVWdPnCp -GlMXrb6w+F+O3QV9CGlVxrk/6uUd/aWtqlSM2CfwxoufuL2f+qzjvynrzs52 -C7zUiLNgVgeL0jAxZQ6gDvc6DkU8kXXRYiwxt3UBBgryZ1ev1Gk7lSR/jaOd -riq0jo5kCvRc3bMMAA3mVPOhdq86dVv0r+GTe5ZvI5ozA6cFqyuRMgOXS7Rr -JbKSHdNmHdKW/JFXJwe5OLqM72Ccm/f2IpJCpXQoaxL5drqCO4J4np33KXVh -hF6a1cGiNAxMmeUhqKOBWx2HIp7Iumgwlrj/dVHWp60MucU0rMBAoPX28rHT -DUsOqJS1p3xdl+TqpwLeWnQ6LMDLd2vExsD3Jto7eAYnd1cOQO5i1NbkgjNh -cSWiCqPSokTzb/6uczOaDLsZrWMqXHQn9pOA6BKpiiFYbWZskM+MzxMOR2wO -8nV2DzyWl3ZoR8hCT6cZG7KELbkLbUfqRqSW636vMS1Uig470tCYogTUMQ3n -Oo7mt0bxRNeFUmI6LK4LlAIZbBDCrFWzNmQbFXJuzVvsNPmn8p4dj2i65P2a -Q4h6EqaoSfl4lM3MM3Xah3C6LiYtT42JyzZaVyC3hlUmhh0plZKWvZY++tp9 -/PoC48kVpWPKlntndq30c3lpqMPy7qJ1ppAUfOlk66eu90Y0pPna2C//vRlX -KarieKPfz6y44jvcVtevxLkLRw6feY29bTb9RrEkDY0pNaCOWXCu46io4omo -C53EtFhYF7g3DS5w4Y3doUdKSDZ0hdfetp96ssagW+gXtRHnLrJ/XbdNQNPF -FDVJs+1dg++1Gf6CxFpT2fGw4+Xq6RtZ18DKIic5LSWbb1E7poYQ521yHuGb -1sBwYYOmiHbSk5wFo0bM7ZoBiq7PGcF0BqioPfvpbF8D5qzJIb1jsCgNjSkV -qKOLQz+pw1LHoYknki70EtNiaV2muw4b7sGn1wUYGBDtpcl7jzwQk4osvhHg -yPu50mDBQj+Z2+598YbbN4+0iwfmLJsbW3tQGP6WxwQPDePsh/71ZWf3t9fl -6/qdrGSH+9g1huW46R3rpO3OZ+7v/trY+9EvUVB1wtNWt3L+NGGqHT+JrBB3 -r2BRGlpTdIA6VHCw49DFE0UXExLTYmFd4Llp0IA9vRAVd6tF87IM3lJ0/mJt -jxeOsLII3vgQw4RWJ/OE/ZrK1vKKWC+v3Y+7Vrplj3ea1cXIralIy16rxDeX -uPCTyXKazBQhrats6Kyrg5X/Mv/fzFeNDHvZNr1eVoM9T1vk5q9eulDh9efn -Tlia3sC4JjkzWJTGhCk6QB1yONpxqOOJposOMolpsbAucG8aHCgb0oNdXhjy -Fy1DhrqH/2kwaMme7PLkG+70diSzzcg5m/fExEZ9t2772a49WHnDg4t7fV55 -0XlDys0yCeOco7DWCUnXkD3e5TnrsIDscw0SU4Tw+sqJti5+IeFHkxJPZFRI -GU7LCazueozPKy/z9vxe0VSW8e34l4bx918VNBamBDv8ffTy5PsirDkrfNWm -6IRjMVvWRGQ3szstZ1EaBqZoAHVI4GzHoY4nmi7doN2bLK8L3JuALnBh1paP -9vZ8q1N/EaD3oFkjxLe2Bey810o6iLHrGNexvDTIBkEdHZzqOKALMCCRCdKi -464+654CapI5sozNLsbQmkyQHhtzuY7qHWh2HbMCLCwNokFQpydc6TigCzBw -IbDGps5VbJVSXJCydsyLr76zP71A1OulEjRruLReiFEt+7DrmNVgMWmQDYI6 -xnCh44AuAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD0D3hLXsQXc/ljHSYu -PVgsYe1YLguZHVSwG0NQpJeAHADQh0grEo/eFeEqrCLeZ4w/ax+aW8jsoILd -GIIivcTychDionOXBVCKHQDUEMp2pWbSJrm/lr/iFlvFfSxkdlDBbgxBkV7S -F3LIq1PWR+WTH1sBAIMTSeG+z+MYFM7mhtleQiisqfezG0NQpJdYVg5JwQ/L -EhgXvQQGPkR76cm1M9+w+dswB6/Vx5+Q1/ZRYTWZJ//7sI2+FzEzhYK0/PSW -IH/vcf+0n7oisUp9pAouup+anNNAdmClaRR1qYsnBfYs0tpalHw4q9G8z+Fx -YU7E6k1RCUejNq6OvCHUO6KzV2Z1RtiTRn08QW12fKjflA+z2auw1zOeZklD -00ZzYmicML2xhuKtHv2hCEs9hWU5tDDsd9Li7z/YzbzwMTDAaX8Yue7gzXpM -3nTn4LyR//DYV2p8qJbi2f++XBZvcr7ExBQSsqrTBy5VdxhR1l9Y/C/Hrrpp -7cXRgV9dMSoCahJF7bkVXjb2eicqE9KqjHN/1HdM1fC2qlIxokW88eInbu+n -Puv4b8q6s7PdAi814iyY1cGiNB0+yZ5X194OdRqFWIWBBuN4oktD2UazYkiR -MANfEbZ6CrtyaGHe74SZ8316PWoAAwT5s6tX6rTJIMlf42j3QVdJSh0dQ3Cg -52rTR+QzMIUILpdo1ztkJTumzTrUVaeNaM4MnBasriCNgLw6dVv0r+GTuyt4 -yquTg1wcXcZ3MM7Ne3uRca1qWpQ1iXw7XZU0QTzPzvuUujYOglllfdrKkFsU -kWVRGi3mVK+jxDieahCloWqjmdJQJEwvhTbprb4H/aMISz2FZTk6bSL0O8mD -tZPeZVz2GBg8tN5ePna6Yb0ZlbL2lK/rklz93oa3Fp0OC/Dy3RqxMfC9ifYO -nsHJPSu+UJiihN4gLroT+0lAtN7DPtH8m7/r3IwmwySmtiMXnAmLKxFVIFWX -xmozY4N8ZnyecDhic5Cvs3vgsby0QztCFno6zdiQJWzJXWg7Ujc6tVz3e41p -dWkdjCvRsCMN8khoRjzRpaFvI6pjmt8aJQz7cE4RzW9Z6Cn0DUT1Cq3fyZ78 -OHmiQeleACCEWatmbchuMczi1rzFTpN/Ku+Zo0TTJe/XHELUEzJFTcrHo2xm -nqlTmjSlRlqeGhOXbbTMQGlQ2XLvzK6Vfi4vDXVY3l3BU/roa/fx6wuM52/k -drDKxLAjpVKVvBLp3qTenv3SydZPXaSTaEjztbFf/nszrlJUxfFGv59ZccV3 -uK3ubiTOXThy+MxraDNghvcmtqShGwmRdKGLJ6I0ptpIGRO0hGEZzimiYqmn -mGogZUBY6XfyigM85yB4kRLQBxfe2B16pIRkc1d47W37qSdrDLqIfjEyce4i -+9e71/apTXWgqEmabe8afK/N8Bc0BlXqzx/yNjmP8NU97mNlkZOclpI9pZDY -aSo7Hna8XD2PQ743GVaX3t5dXTrpSc6CUSPmdj03ia7PGcH0uUlRe/bT2b5q -prsOG+7B1/xzzpoc8pGAPWloRkIUXejjiSQNo5whBy1hTNCtiB7WowhbPYVd -OdD7naLqlymOH90g+Ts0gYABA9Femrz3yAMxqc7iGwGOvJ8rDZ7t9VOx7d4X -b7hpn8RpTdFBZbCLtjufub/7a6PWrqxkh/vYNfkSJnYeFIa/5THBQ8M4+6F/ -fdnZ/e11+UZdnhSae1OioOqEp61uv+lpwlQ7flIt2jzd9HMTi9KYt7uBHE8U -aXqTM2gJwx4cVIStnsKuHGb0O3lFLM8JdWEcGLhgTy9Exd1q0bxihrcUnb9Y -2+NFGawsgjc+xDC51ak4Yf+f6r/sSCgvr92PZaZN0UFmkJDWVTZ0lkTDyn+Z -/+/ulQrxzSUu/GSyOwG5Y1oUgsNvOvfmuWmb3r2pBnuetsjNX73gp8Lrz8+d -sDS9ATdpsQem7k0sSqNG9ninWSMhUjxRpTE3Z9AShi04qgh7PYVNOXQw7XdY -6T6e+2az31UBBhTKhvRglxeG/EXLkKHu4X8aJKPsyS5PvuGmaEcq2oycs3lP -TGzUd+u2n1XvfDIwRQOJQUJ4feVEWxe/kPCjSYknMiqkupmc7PEuz1mHBWSf -bpDY6Qbt3kRgdddjfF55mbfn94qmsoxvx780jL//qqCxMCXY4e+jlyffF2HN -WeGrNkUnHIvZsiYiuxl5IKS9N7EojRp5w4OLe31eedF5Q8rNMgnjmyhqPNGk -6UXOICUMO3BWEbZ6CrtydMO037UXbpzke6YOcYYHDF5wYdaWj/b2nM3oP8Kz -AoJBQnxrW8DOe+THm7DuGKexvDRo1vpQGo4KzSlFrE0OUfaCGVvhsQlAQSZI -i467+qx7OqhJxcgylu9NTAzKBOmxMZfrqN5tZd0xrmNhaVCs9ak03BWaK4pY -nRxYaaT/+rvMdoIBQAeBNTZ1rmirlOKClLVjXnz1nf3pBSI2VvQRDOLSeiFG -tVbDumPWgcWkQbPWh9JwXWguKGJ1cmBlhxbvKYanJgAAAIAr4E1/bA+7bKkP -0gAAAAAAFaK1MOn4nRZ4CwIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AIBl8Ja8iC/m8sc6TFx6sFjSR4fL98tFgU4g+GwxkPoOtAVgE5ng8rki9MoT -+kgrEo/eFeEqrCLeZ4w/k2qrLEB2UUJcdO6yQEb7/4zby0IEBhv9oviAhDN9 -h7tm++WikOH9DdGaH7X+TDXTCudUVpTtSs3QLrm/lr+ij4pLkl9UXp2yPiqf -/AhKFVl72YnAYKNfFB+QcKjvcNVsv1wUMryfkVclLPuhgKQ6mHlICvd9HldG -/9jCOoYXlRT8sCyhivxeY9xeliNgNoTCKp/b+kVxk1hjMDnRd7httl8uys0M -H/hIS3bP+75YavoPu8GFORGrN0UlHI3auDryhlDvJBCitSj5cFajJU6tkpaf -3hLk7z3un/ZTVyRW6R9ITHZRafH3H+wuIWuVcXvNiICmfOfJtTPfsPnbMAev -1cefUNSXxmoyT/73YZupUZLAarPjQ/2mfJiNVAYOwTFcdD81OaeBrNAOEyys -OGeDSZJ13I4kKTTh7dVFrWAcYEy/tAWgRVa61+dDpJVUvPHiJ27vpz7rEEtZ -d3a2W+Clxk4lCWlVxrk/6jueVvC2qlIxq2LKqk4fuFTdkYnK+guL/+X4me6o -e6qLCjPn++wrNT5T37i96BHooP1h5LqDN+sxedOdg/NG/sOD7FKKZ//7clk8 -g+kWIXteXXs71GkUYolSNMfai6MDv7rSZIYsllacs8GkyDruRpIUyvD27qLW -MQ5wuC0APfjz87MmrXuAsJ6lrEnk201NeKqZOCoE8Tw771Pqmszy6uQgF0eX -8R2Mc/PeznIJL1wu0a7RyEp2TJt1qLJzvY76opIHaye9m9ZgOMk2bi96BNTX -fXb1Sp22h0vy1zjafZAtMrxS48VAz9WMC7TLHv+AXD4b0TGiOTNwWnCOCHWt -iwXFlfVpK0NuUcSCs8GkyjrORpIUqvD2ssNayTjA4bYA9EiLv3KfvPtJj+ko -VpsZG+Qz4/OEwxGbg3yd3QOP5aUd2hGy0NNpxoYsYUvuQtuRutGj5brfa3ZL -8tjbJcRbi06HBXj5bo3YGPjeRHsHz+BkvQLMuOhO7CcB0aSLdT2RPflx8sRv -Hhn+oXF7ySKAROvt5WOnG9bJVilrT/m6LsnVH0Rom4Y8nNIHitQxovk3f9e5 -GU1GQ6rFFaetDk/rc+d/799gGmcdNyNpRkrQMSDGAS60BTAL8c1FYyYfqDBI -VknBl062fufrcRXRkOZrY7/892ZcpaiK441+P7Piiu9wW51y4tyFI4fPvMbC -yr4OoumS92sOIepZqaIm5eNRNjPP1GmepZUt987sWunn8tJQh+XppiqxyCsO -8JyDjF6tMW4veQSYeyvMWjVrQ3aL4SjVmrfYafJP5T3NUjaNfjiVlqfGxGUb -rSHRWKNwTProa/fx6wtIpn8WVpzhvYmLwSTPOo5GEj0laBkA4wA32gKYgSjb -fzTvP1UGO7vtRZtdHZZqtBLnLhg9dvvDjgkK8fwC3+7NpCc5C0aNmNs1xxBd -nzOC6RxDUXv209m+BsxZk2PYVzT1l6PLNcsQ4txF9q9/pl9ImRDnbXIe4Wu8 -XGdwsapfpjh+dMNw8cO4vaQRYOoqLryxO/RICcnmvfDa2/ZTT9YY9BzqptEM -p4qapNn2rsH3jKpJ0wSK3DGsLHKS01IytSyt+HTXYcM9+FRhpPNZTT8HU2Wc -dVyNJHJK0DIAxgGOtAVAR5z7sSNPt47eBY2OiYKqE562urXZpwlT7fhJtazu -EernZNu9L95wM1iaa7vzmfu7vzbSqy+viOU5GSeYcXvJI8AEor00ee+RB+Qf -7IpvBDjyfjY0S900c7ZIqKxROiYr2eE+dk0+yd6ahRU3/dzE2WB20TPruBpJ -5JSgZQCMAxxpC4BOe0Go25TIMoP3ogx13KanYw32PG2Rm7/64ViF15+fO2Fp -egO79STVOTlh/59qnzruMF5eux/LVIS0rrIB06QhVv7L/H+bfJbHSvfx3Dcb -7V4at5c8AqbBnl6IirvVWUoTbyk6f7G2hwmsLII3PsRw8CJrWieyxzvNGk6N -rdE4Jr65xIWfTNbrLKy4qXsTR4NJnXVcjSRyStAyAMYBjrQFQEdZm+TD08ik -g8Dqrsf4vPIyb8/vFU1lGd+Of2kYf/9VQWNhSrDD30cvT74vwpqzwldtik44 -FrNlTUR2M9sTjI6ctBk5Z/OemNio79ZtP6veAiWE11dOtHXxCwk/mpR4IqNC -anKy1F64cZLvmTrDDDNuL0kETKNsSA92eWHIX7QMGeoe/qdBd5c92eXJN9x2 -JmmaGnnDg4t7fV550XlDys0yCeNeQWKN1jHZ412esw4LjD7NsbzitCMqZ4NJ -nXUcjSR6StAwMMYBjrQFMIP2oq3eQTdR3km1OPrP8mYjyl4wYyvJS5/G7bVU -BHBh1paP9vZ0gZWmmWmNEN/aFrDzHuVRTpyGU8HkcCTZjUn/MpDaAphD293Q -OeG9eIWafTQ5acYqmz5YaaT/+rtGG94qsvZaLgIyQVp03NVn3dN9NprWDYo1 -mSA9NuZynRUfGciVYHI6kuzGpH8ZSG0BzKK9+MeA8BKu3JyU4oKUtWNefPWd -/ekFIrOfrLGyQ4v3FJN/KmfcXktGgMAamzrXx1lqWhdo1nBpvRDj4DwfDS4E -k8ORZDcm/ctAagtgNsqGjM3rfxtAm3940x/bwy5T7pIat3fARQAAAGAAgLfc -Pnosf4BULyJaC5OO32mhu9EYt3dARQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAYWOAteRFfzOWPdZi49GCxBN59NwcOxpCDLg1gINoAwDbS -isSjd0W4CquI9xnjz6SiLGAIWQwJcdG5ywL6I0JkgsvniizzKRzI2peYmwAA -AFBCKNuVmtFRcn8tf4VReV+AAeQxlFenrI/KpzzHlWjNj1p/ptpCp+mBrH2J -WQkAAP0IobCaxJQU7vs8roxr0zwrCqDKOIaSgh+WJVSR333kVQnLfiggKSlo -WZcAS4KSAADAFKK99OTamW/Y/G2Yg9fq408oKk5jNZkn//uwzdSISWC12fGh -flM+zEYqS0eOtPz0liB/73H/tJ+6IrFKfZoyLrqfmpzTYFT1h94n6gYSrUXJ -h7Mae3cSJmcDSO6YWTEk0UJ3FZIYSou//2B3CVlFL2nJ7nnfF6PV+iLHimRl -ZsoMFHWpiycF5mnL05inbG+uqAEtAQCAKe0PI9cdvFmPyZvuHJw38h8e+0qN -j9RXPPvfl8viGcxCCdnz6trboU6jEEumkiGrOn3gUnWHM8r6C4v/5fiZtl5H -e3F04FdXmpiPO5QNJKRVGef+qO+Y3eFtVaVic0cyzgaQ2jHkGFJoQR1DYeZ8 -H7JAyEr3+nzIyi6QFcnKxJQ5KGrPrfCysV+sd6dAVra3V0RNAABgivzZ1St1 -2hSS5K9xtPsgW2TwJ3jjxUDP1XlMawfKHv+AXM6bDFwu0S5syUp2TJt1qFK7 -REA0ZwZOC84RMZx8UjVQXp0c5OLoMr6DcW7e20mKKOpQ1qetDLlF0X7OBpDO -McQYUmlBHUPJg7WT3k1rMLSPPz8/a9K6Byys6FmRrAxMmYO8OnVb9K/hk530 -703IyvbuisgJAABm0Xp7+djphnW7VcraU76uS3L1uyDeWnQ6LMDLd2vExsD3 -Jto7eAYnV+omj8hDK601FS66E/tJQLTe+gDR/Ju/69yMJqOBj9YOdQNNYqKK -tyn7/RxAUsfMi6GxFlTInvw4eeI3jwz/UFr8lfvk3WhVKAeKrOa4Sm1QLjgT -FlciqviZ1/PeRKms5a5ICkUCAIAZEMKsVbM2ZLcYJnVr3mKnyT+V9+xORNMl -79ccQtTzM0VNysejbGaeqdM+z9MNrdLy1Ji4bKMlB0prypZ7Z3at9HN5aajD -8nRdOSnpo6/dx68vMJ4S03hF00CTMBzEuBhASsfQY0iuBQXyigM85yCj1+TE -NxeNmXygAvEuMjBkNeEqkrJYZWLYkVKpSl5pfKegVJYh6FckgyIBAAAZXHhj -d+iREpJtWuG1t+2nnqwx6DSacs/R5ZqlCnHuIvvXdXsQNEOroiZptr1r8D2j -Su/U1tQQ4rxNziN8dSsEWFnkJKeleSR5T2OHuoFUKGrPfjrbV81012HDPfia -f85Zk0M+CnI2gOSOmRVDlbEWFCiqfpni+NENwyFMlO0/mvefqp679d1x1qNH -nAeErPSuoijbVHY87Hi5+mmG7E5BqazpOJt5RdL2kCcAghsAoNK8R5S898gD -8q8hxTcCHHk/VxrMdfUTuO3eF2+46Z7fzdkuobbWSdudz9zf/bVR65+sZIf7 -2DX5JLsWVHZoG2gS0xNszgaQ0jH0GHbRUwsK5BWxPKclRgOkOPdjR94hw1CY -ZADIararxgYfFIa/5THBQ8M4+6F/fdnZ/e11+bqbGrWylroiGRQJAAAoYE8v -RMXd6ixzi7cUnb9Y2+P1Gqwsgjc+xDDX1Qk8Yf+f6r/sSEMvr92PuxbWZY93 -mjW0GlojpHWVDZimL2Plv8z/d/c6kvjmEhd+ci3JshK5VyYaaBJTgxhHA0jr -GFoMqbWgACvdx3PfbPQmQntBqNuUyDLU17esXtZeuEqdJx0oBIffdDZ4iqFW -1lJXJIMiAQCAMcqG9GCXF4b8RcuQoe7hfxr0G9mTXZ58w/3bjgS2GTln856Y -2Kjv1m0/27XlK294cHGvzysvOm9IuVkmoavqbsoaIby+cqKti19I+NGkxBMZ -FVLdjFP2eJfnrMMCss84SOwwaKApaAcxzgaQ1jG0GFJrQUV74cZJvmfqDP1X -1ib58LY9RN0ht25Ze+cqRZ50QnKnoFHWQlckhSIBAIBVcGHWlo/29pwD6T/4 -9x4Ea4T41raAnffIT0Rh1yvW4FQAVX0RQ1H2ghlbSWbN7UVbvYNuMn2bnlWX -2MfysiIbpFXWIlekgCoBAIBlZIK06Lirz7rniJoERl+doYCxNZkgPTbmch3V -hgW7XrEJVwKo6pMYYqWR/uvvkm1ItN0NnROO9hL5IJYV0aAJZS1wRSqoEwAA -WIfAGps6txxUSnFBytoxL776zv70AlGvv0FHsIZL64UY1ZyQXa/YhwsBVPVJ -DLGyQ4v3FJNPmtuLfwwIL0G4OQ1aWZEN0iprkStSQZcAAAAA/QLe9Mf2sMuU -b0soGzI2r/+tAXYiBiwmEgAAAKDvIVoLk47faaG79eAtt48ey7dM/Sagv2GQ -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAED/grfkRXwxlz/WYeLS -g8USeK/XgkCo+wwINYtAMAFKZILL54os8z2ItCLx6F0RrsIq4n3G+DOpAgqY -CVmoCXHRucsC+lMSLKj+QAWymkUgmAAFRGt+1Poz1b08JIvSurJdqRn2JPfX -8ldAnUoLQh5qeXXK+qh8ysM5Lav+QAWymkUgmAA58qqEZT8UmF8pjCGSwn2f -x5UhnsEJmINhqCUFPyxLqCK/+/SR+iYhFFb53MbNrIZgAgMBacnued8Xoxa8 -IYNoLz25duYbNn8b5uC1+vgT/dLQRGtR8uGsxt4dgEVjXw+sJvPkfx+20XdO -ZqZQkJaf3hLk7z3un/ZTVyRWqY9YxkX3U5NzGnpR5wbpcl2QhVpa/P0Hu0vI -NDZLfRaFUJ9kWpsdH+o35cNspFqHCI71UghcmBOxelNUwtGojasjbwj1jsrh -WlazG8wuFHWpiycFdhVU4nYwgYGErHSvz4esLPG2P4xcd/BmPSZvunNw3sh/ -eOwr1Q6ZhLQq49wf9R3zdrytqlRsbvZR2tdD8ex/Xy6LNzn1YmIKCVnV6QOX -qjuMKOsvLP6X42faw/vbi6MDv7rSxHp/o7gcdaiFmfN9yBpplvosCtHhsex5 -de3tUKdRiHV40RwzXwi88eInbu+nPuv4r8q6s7PdAi81dg6o3MtqdoPZde3a -cyu8bOz1i/1xN5jAQAJ/fn7WpHUPWFjTkT+7eqVO268k+Wsc7T7IFml+Xp0c -5OLoMr6DcW7e2+mqgSnr01aG3KKoC0dlX4+O1A/0XG26ZCYDU4jgcol2GUVW -smParEOV2gU0ojkzcFpwjojlJRaKy1GHWvJg7aR30xoM3TBLfRaF0CJ7/ANy -jXhEx8wVQlmTyLebmvBU85ygEMTz7LxPqauRczCrtbAUTK171anbon8Nn+zU -oxAtV4MJDCikxV+5T96NVooNby06HRbg5bs1YmPgexPtHTyDk3uWVVa13l4+ -drphMWnT0NawNm1fWXvK13VJrn7isu4qvUFcdCf2k4BovdUzovk3f9e5GU1m -3pxQL0eF7MmPkyd+88jwD81RvwfsCIE8nJohK6UQWG1mbJDPjM8TDkdsDvJ1 -dg88lpd2aEfIQk+nGRuyhC25C21H6u4XLdf9XrNbkoe2Wd/HWc1iMOWCM2Fx -JaKKn3k9703WEEzA6hHfXDRm8oEKxLsI0XTJ+zWHEPXMSVGT8vEom5ln6rqf -wwlh1qpZG7JbkMdjholHZb81b7HT5J/Ke7bFfFel5akxcdlGSxeUBpUt987s -Wunn8tJQh+Xputoy0kdfu49fX2B2FTTEy1EgrzjAcw4yegPKPPW7fWNJCLrh -FFUFSseohZAUfOlk63e+HlcRDWm+NvbLf2/GVYqqON7o9zMrrvgOt9UNoOLc -hSOHz7yG9kzSx1nNWjCxysSwI6VSlbzS6N7E+WACAwBRtv9o3n+qem5tKmrP -fjrb14A5a3K6+42mqnJ0uWYxQpy7yP717i0PXHhjd+iREoTXC7ovN9112HAP -vvHl9KG2L7z2tv3UkzUGPc9cVxU1SbPtXYPvGZV9pjGoUn9PlLfJeYSvbv0M -K4uc5LSUZHZoOsjmXI4CRdUvUxw/umG4FmKm+p2wJwTNcGqOCuSOUQqhai/a -7OrQ+Rtx7oLRY7c/7Hi+JJ5f4Nu9mfQkZ8GoEXO7pvqi63NGMJ3q91dWsxTM -prLjYcfL1c9PZPcmbgcTGBCIcz925Om2Rxijn8xt9754w027XkS0lybvPfLA -zO84TU+KaO2LbwQ48n42bAvrrlIZ7KLtzmfu7/7aqLUrK9nhPnZNvvkbemiX -o0BeEctzMh4HzFRfxaoQ5m2RIMtKLQTNcJooqDrhaavbInmaMNWOn1SLtlXf -p1nNVjAfFIa/5THBQ8M4+6F/fdnZ/e11+bqbGoeDCQwU2gtC3aZElqG+pqZO -5gn7/1T/t45hz8tr92P1DAt7eiEq7lZnQUq8pej8xVo0u6YSz4R9rCyCNz7E -sMOw7iqZQUJaV9mAacYWrPyX+f/uXmQT31ziwk9G7IHmX44CrHQfz32z0Saz -meqzKYQa2eOdZg2nSLJSC2E4nG7TG05rsOdpi9z81WtUKrz+/NwJS9NRi733 -YVarYS+YWhSCw286Gzw3cTaYwMBBWZvkw9PkDxIdyWwzcs7mPTGxUd+t235W -vXeqbEgPdnlhyF+0DBnqHv4n4qBHm3gM7Mue7PLkG24ms+4qiUFCeH3lRFsX -v5Dwo0mJJzIqpLoZsOzxLs9ZhwW9+MgJ6XJUtBdunOR7ps5wIDBLfRaFUCNv -eHBxr88rLzpvSLlZJmE8VKHKSiUEgdVdj/F55WXent8rmsoyvh3/0jD+/quC -xsKUYIe/j16efF+ENWeFr9oUnXAsZsuaiOxm5FlGX2W1GvaC2Q3JvYmjwQQG -Fu1FW72DbqK+lKm/CMAhcGHWlo/29nw8YN1VBIOE+Na2gJ33KM8LYvly1Iiy -F8zYSvJurnnqm8byQqBZY0OIfgOCCQxO2u6GzglHfY1Yk8xmLAZZHpkgLTru -6rPuWSbrrjI2KBOkx8ZcruvlSXVs+I+VRvqvv2u0Ba4yU31GWFgIFGvsCNGf -QDCBwUh78Y8B4SUIw5NSXJCydsyLr76zP71AxMFPuAmssalzM4Z9VxEM4tJ6 -IdbLuSU7/mNlhxbvKSZ/jR1ZfQQsJgSaNTaE6H8gmMDgQ9mQsXn9b6i7koCV -gDf9sT3sMuXbEqA+AABcBW+5ffRYPlTwGYAQrYVJx++00N16QH0AAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPoLvCUv4ou5/LEOE5ceLJaw9lqz -hcz2y0X7pS0DDIhh74EYAoMJaUXi0bsiXIVVxPuM8WftTEcLme2Xi/ZLWwYY -EMPeQxZDQlx07rJA/5ARJj8BACuAULYrNTMwyf21/BVGdVo5ZrZfLtovbRlg -QAx7D3kM5dUp66Py9Y+BZfITALAaJIX7Po8rY31yZSGz/XLRfmmLSQiFNQ05 -EMPeYxhDScEPyxJ6VPRg8hMA4AxEe+nJtTPfsPnbMAev1cef6BejJlqLkg9n -NZp3iCUuzIlYvSkq4WjUxtWRN4R6Z/X0yiwjFHWpiycF9qh0w+W20EigB1aT -efK/D9tMDZcEVpsdH+o35cNspKp2tPSMJy66n5qc04BWCstSacbAvh79EENy -x8yKYRcM01ta/P0Hu0ukiD8BAI7Q/jBy3cGb9Zi86c7BeSP/4bGvVHtAPyGt -yjj3R33HnApvqyoVI44ceOPFT9zeT33W8d+UdWdnuwVeasRZMMsIRe25FV42 -9npV2LjdFkoJ9Nv07H9fLotn8GRByJ5X194OdRqFWHGVBuN4qtqLowO/utLE -vMUWSjPT9vXb0R8xpHYMOYZamKe3MHO+T89AMPkJAHAC+bOrV+q0mSnJX+No -90G2SPPz6uQgF0eX8R2Mc/PeTlINjxZlTSLfbmrCU828UCGI59l5n1IXju6l -WSbIq1O3Rf8aPtlJ13k53hYqCfTouDsGeq7OY1p6UPb4B+Rq4NTuGcVTDdGc -GTgtOEfEcNGLhTRT1qetDLlFEQLOxpDOMcQYag0ipLfkwdpJ76Y16Nln8hMj -aCMPAL0Gby06HRbg5bs1YmPgexPtHTyDk3uWfFa13l4+drphzWkqsNrM2CCf -GZ8nHI7YHOTr7B54LC/t0I6QhZ5OMzZkCVtyF9qO1HXDlut+r9ktyWNvp5u6 -LXLBmbC4ElHFz7yeYyl329IDcgmUtad8XZfk6jeHVk3kcdWMeBLNv/m7zs1o -MhzUWE6zbhgXAedcDCkdQ48hWnrLnvw4eeI3j6RoPzECyq8DloZouuT9mkOI -eqKmqEn5eJTNzDN13SsKhDBr1awN2S2MZ3GSgi+dbP3O1+MqoiHN18Z++e/N -uEpRFccb/X5mxRXf4ba6EVycu3Dk8JnX2Nv/oGoLVpkYdqRUqpJXIt2b+rkt -3Y2ikKA1b7HT5J/Ke462NGrSjavS8tSYuGyjlST0eEoffe0+fn2B8ZMOy2nW -BcMRknMxpHMMMYao6S2vOMBzDtJ/+5HJT4yAexNgcTQVn6PLNUsM4txF9q9/ -pisPjgtv7A49UkKxhUxKe9FmV4elmjFbnLtg9NjtDzsmX8TzC3y7N5Oe5CwY -NWJu17OG6PqcEUyfNRS1Zz+d7WvAnDU5hoMNSVuayo6HHS9XTzCR703925ZO -qCUQXnvbfurJGoOxkFpNmnFVUZM02941+J5RWXjkeGJlkZOclpIFgtU0647h -dNdhwz34VhZD+oYjxRA9vRVVv0xx/OiGGO0nut8gRR4AeoN+wrfd++INN+2z -PNFemrz3yAPEonY043mioOqEp61uj+ZpwlQ7flItq+89GLflQWH4Wx4TPDSM -sx/615ed3d9el280gHCwLSoTEohvBDjyfq40WKWiUtO8vRLkeMpKdriPXZMv -YWKqN2nWhenZOwdjaKLhKDE0I73lFbE8px7zKCY/MQKemwCLo074Cfv/VCd8 -R0p6ee1+rJ6FYU8vRMXd6izIircUnb9Yy+ytHcPxfJveeF6DPU9b5OavXiRT -4fXn505Yms5ysXHytmhRCA6/6dyb56a+bYspCbCyCN74EMMhjDoCssc7zRpX -keIpvrnEhZ9MdpNmN826MDVCcjaGNI6hxlAL0/TGSvfx3Dfrv2DC5CdGwL0J -sDgdCW8zcs7mPTGxUd+t235Wvb+qbEgPdnlhyF+0DBnqHv4nkzGDwOqux/i8 -8jJvz+8VTWUZ345/aRh//1VBY2FKsMPfRy9Pvi/CmrPCV22KTjgWs2VNRHYz -2w8aJG3pBu3e1M9tYSCB7MkuT77h9j5FBOQNDy7u9XnlRecNKTfLJIxvoqjx -lD3e5TnrsIDsAx0W00wP2hGSszGkdQwtht0wTe/2wo2TfM/U4Wg/MQLuTYDF -0V8osHYGUltMgwuztny0t+fslt0IoFkjxLe2Bey8R37cDUelGXwxFGUvmLG1 -R4OZ/AQA+h5NwkeWcW3QMIuB1BZGyARp0XFXn3XP+9mNAIo1mSA9NuZyHdVb -4NyVZnDFECuN9F9/tw3xJwDQ1yjFBSlrx7z46jv70wtEFjwvqC8YSG1BgMAa -m7DOaTa7EUCzhkvrhRjVCw1cl2bwxBArO7R4T3E74k8AAAAAwFLgTX9sD7vc -oET7CQAAAABYCqK1MOn4nRYc7ScAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAGXhLXsQXc/ljHSYuPVgsgcPiLQtE29LIn55Y8taPJabLlAMmgEiy -yIANpkxw+VyRmQfxm0BakXj0rghXYRXxPmP84fhDy0IWbUJcdO6ygD5pjRPA -gilhxRCSx6f27+JP2zEAB4G+BSLJIgM2mERrftT6M9WoBZ+ZWle2KzUjnOT+ -Wv4K2mKRQK8hj7a8OmV9VD75CZkqsgSwbEpYLbgw72jSw5pr8/gDbhDoYyCS -LDJwgymvSlj2QwFJrS52kRTu+zyubGCFjrsYRltS8MOyhCrye41xAvRRShAK -q3osk9dePPz/qjFVSxYXBwFrCia3I2llDOBgSkt2z/u+WMqCJaK99OTamW/Y -/G2Yg9fq40/0aykTrUXJh7Mae3cKFY19PbCazJP/fdhG31GZmTIDRV3q4kmB -XWVicNH91OScBrJiM6zR84oayKItLf7+g90lZDIbJwBZSrAYfPXhobXZ8aF+ -Uz7MRqpDR26L1LFeRh4X5kSs3hSVcDRq4+rIG0LNGTWy0sgFH8ybP3++v/eo -4WP9VhyuNPvEa84GUyUtP70lyN973D/tp65IrFI3cNBEkv0xwdqCyTVkpXt9 -PmRlF6j9YeS6gzfrMXnTnYPzRv7DY1+pNkiEtCrj3B/1HZN2vK2qVGzuDYrS -vh6KZ//7clm8yaczJqbMQVF7boWXjb1+CbP24ujAr640WepsSOMrUkVbmDnf -h6ydxglAlhIsBr/DRdnz6trboU6jEGukkkHtmPmRxxsvfuL2fuqzjv+qrDs7 -2y3wUqP+CWqi7AXeO3szQeVsMGVVpw9c6piCq5T1Fxb/y/EzbSGIQRFJ1scE -qwsm18Cfn581ad0DFpZv5M+uXqnTyinJX+No90G2SPPz6uQgF0eX8R2Mc/Pe -TleSS1mftjLkFkVpSir7enSIF+i52nRtSwamzEFenbot+tfwyU49ymsSzZmB -04JzRJZYcTG+InW0JQ/WTno3rcHQDeMEIEsJFoOvRfb4B+T63STQOWZu5JU1 -iXy7qQlPNbNbhSCeZ+d9Sr8GOINBoK8yWQtLwVThcol2ZVBWsmParEOV2kXg -fowkLZweE6wtmJxDWvyV++TdT5BahLcWnQ4L8PLdGrEx8L2J9g6ewck96x+r -Wm8vHzvdsJazaRgXMia3r6w95eu6JFc/DVl3ldqgXHAmLK5EVPEzr+e9qSMX -f/N3nZvRZObNyYwrkiJ78uPkid88MlzVM04AUynBTvCRh1MzpKSMPFabGRvk -M+PzhMMRm4N8nd0Dj+WlHdoRstDTacaGLGFL7kLbkbqhqeW632t2S/LQ3uHp -40xmOZi46E7sJwHReivA/RdJxnBxTND81hqDyQnENxeNmXygAvEuQjRd8n7N -IUR971fUpHw8ymbmmbruOzghzFo1a0N2C/JgzLBHU9lvzVvsNPmn8p5tMd9V -aXlqTFy20cM3uUGsMjHsSKlUJa80vlNIH33tPn59gdnVyNCvSIa84gDPOcjo -PUnjBKBPCbaCTzecIkWezjHqyEsKvnSy9Ttfj6uIhjRfG/vlvzfjKkVVHG/0 -+5kVV3yH2+q6vTh34cjhM6+hPZP0cSazGUxly70zu1b6ubw01GF5uq5OUb9F -kiFcHBNU1hpMjiDK9h/N+09Vz805Re3ZT2f7GjBnTU63XJryx9Hlmmdgce4i -+9c/09UoxoU3doceKUHYSuy+3HTXYcM9+MaX04favvDa2/ZTT9YYJI65ripq -kmbbuwbfM6q9TGKwqex42PFy9VyJ7E6BlUVOclpKMsUxHWczr0janqpfpjh+ -dMPw74wTgDQltLAXfJrhFCXy9FJSRl7VXrTZ1aHzN+LcBaPHbn/YMa8lnl/g -272Z9CRnwagRc7smqKLrc0YwnaD2VyazHEyV+pu4vE3OI3x1a8D9F0n6rtEJ -F8cEqw0mZxDnfuzI0y2FMkZfi7Z7X7zhpl0sItpLk/ceeWDmJ5umZ5u09sU3 -Ahx5Pxu2hXVXjQ0+KAx/y2OCh4Zx9kP/+rKz+9vr8nXJKSvZ4T52Tb75e3rI -VyRDXhHLczJOZuMEoEwJFoNv3hYJspTUkacZBBIFVSc8bXUL+08Tptrxk2rR -9q77NJPZDWYXbXc+c3/310atf/0WSdNwc0yw0mByifaCULcpkWWor6SotZiw -/0/1f+sY87y8dj9WT+Gxpxei4m51VoXEW4rOX6xFs2uqR5uwj5VF8MaHGErO -uqvkBrUoBIffdDZ4ihHfXOLCT+5FGiFfkQysdB/PfbPRqyjGCUCREiwGX43s -8U6zhlMkKakjbzgIbNMbBGqw52mL3PzVKysqvP783AlL0xsQK532YSarYSuY -hLSusgHTjKBY+S/z/929DNVvkTQFd8cEKwwmt1DWJvnwNBFAokMLm5FzNu+J -iY36bt32s+qtP2VDerDLC0P+omXIUPfwPxFvebQ9moF92ZNdnnzDPUzWXSUx -2A3JnUL2eJfnrMOCXnzkhHpFUtoLN07yPVNnmM3GCUCWEiwGX4284cHFvT6v -vOi8IeVmmYRxB0OVkiryBFZ3PcbnlZd5e36vaCrL+Hb8S8P4+68KGgtTgh3+ -Pnp58n0R1pwVvmpTdMKxmC1rIrKbkacVfZXJatgLJiG8vnKirYtfSPjRpMQT -GRVS3fND/0WSFi6PCVYXTO7RXrTVO+gm05dVu9B/huUQuDBry0d7ez4bsO4q -mkFCfGtbwM57lOcFsX9FCkTZC2ZsJXmD3zgBzEuJPgh+30e+3+BUMCGSphgs -wexj2u6GzglHe4lcqwX6UmAfIBOkRcddfdY9T2LdVRSDMkF6bMzlul6eS8dG -E7DSSP/1d8l2pIwTwKyUUGPh4Pd95PsTrgQTImmaQRTMPqW9+MeAcJRvtpTi -gpS1Y1589Z396QUiDj5XElhjU+c6L/uuohnEpfVCrJcTJHaagJUdWrynmPw1 -duMEQE6JbiwW/L6PfP/DhWBCJE0x6ILZhygbMjav/21g76sNbvCmP7aHXW6g -6jfGCQApAQAAB8Bbbh89lg/FegYmRGth0vE7LXQ3GuMEgJQAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAzAZvyYv4Yi5/rMPEpQeLJfBuOjIW -CiDo0ntAGgCwWqQViUfvinAVVhHvM8afSUlYoAcWCiDo0nv6UBpCXHTusmAA -FV4HgP6GULYrNTM/yf21/BVG5XcBU1gogKBL7+lTaeTVKeuj8uGo2MEIobAa -2a3IVR2Swn2fx5VxbeJnRZG0UABBl97TR9JICn5YllAFx8VyH2nFuV3fRMQd -+Xn3l8u3nqsmkQyryTz534dtprKcwGqz40P9pnyYjVSjjdxWe+nJtTPfsPnb -MAev1cefaCs846L7qck5DTSVnPrBVZW0/PSWIH/vcf+0n7oisQpj5CctuDAn -YvWmqISjURtXR94Q6p2VRLQWJR/OauzdAZvksTXEiiNJ08BeBXCw6mJuZyTD -WGLdVfpOGmnx9x/sLkGtuQf0McqapFm8TYXqA7aJ5isfePzf2wZP1Ipn//ty -WTyDyQwhe15dezvUaRRi/VAy2h9Grjt4sx6TN905OG/kPzz2lXZlcXtxdOBX -V5pIM7hfXJVVnT5wqbrDPWX9hcX/cvxMW0aDzk968MaLn7i9n/qs478q687O -dgu81NjZ1QhpVca5P+o7Jg94W1Wp2NyBkDq23Vh1JCkb2LsADlpdzOuMpFBI -3OfSCDPn+5DFF+ASCkH8VLsZB0o70l1RfeytN7/uWa+1Q/VAz9Wmi8JqkT3+ -Abm2NQnyZ1ev1GkzR5K/xtHug2xR1++I5szAacE5IqOJY/+4qsLlEu26iaxk -x7RZhyrlJvw0gbImkW83NeGpZj7aoQ7PzvuUuvq0vDo5yMXRZXwH49y8t5MU -Oew2UZ+2MuQWRSDoYtvVJKuOJFUDEQJIxqDVxazOSAGFxH0ujeTB2knvpjVY -03rnYARvvhrqMXz0/G8P7QrdcvxhzzctlbWnfF2X5Or3Bry16HRYgJfv1oiN -ge9NtHfwDE7urnGO3B1orWlovb187HT9mtBE82/+rnMzmgwSq59dxUV3Yj8J -iNZbKKDwU6XCajNjg3xmfJ5wOGJzkK+ze+CxvLRDO0IWejrN2JAlbMldaDtS -1/1brvu9ZrckD213mLaguT5Gse3879YSSTOShw7QhbXOiCyxCdiWRvbkx8kT -v3kEq3qcp71oj7fry0NtfMIu1fdcPm7NW+w0+afynp2EaLrk/ZpDiHq2pKhJ -+XiUzcwzddqnZbruIC1PjYnLNloAoLGm/q0wa9WsDdkt+rkvffS1+/j1BQaT -q/50Vdly78yulX4uLw11WJ6uq/JE7qcaScGXTrZ+5+txFdGQ5mtjv/z3Zlyl -qIrjjX4/s+KK73BbXdcS5y4cOXzmNbS5L8MxkCy2aqwokujJQwvowlJnpDNF -LrEp2JVGXnGA5xwEL1VyHExwbNm8nx61Nvyx+/2RwyZ9/UCi90vhtbftp56s -MUggTQHl6HLNc744d5H967p1Y5ruoKhJmm3vGnzPqKo5tTUVLryxO/RIicGu -MFYWOclpqeHEqJ9dVak/ncjb5DzCV7dUQO6nmvaiza4Onb8R5y4YPXa7eiGV -eH6Bb/dm0pOcBaNGzO2aBIquzxnBdH6uqD376WxfNdNdhw334Gv+OWdNDvnY -TB5bNdYUSeTkoQV0YakzmjClMpbYFOxKo6j6ZYrjRzeYro4C/UJ70RaPqZFl -6gwiWv74dIxz8H29m5P4RoAj7+dKg8UF/axru/fFG266p2NzlriprBHtpcl7 -jzwwrs4nK9nhPnZNvqTnT/vT1S7a7nzm/u6vjQSdn2poOlqioOqEp61u8fxp -wlQ7flIt2t6w6fk5ZWzVWFMkkZOHFtCFpc5I71gnPSU2BbvSyCtieU6oS7JA -H4OVRb05bmXn/ir25/5pnuF/Yvq/jeCNDzHMPHXWTdiv+bsOkb28dj/uWkqW -Pd5pVncwtoY9vRAVd6uz1izeUnT+Yq3OLfHNJS78ZMPk6y9XCWldZQOm6WFY -+S/z/929TEHupxrDjrZNr6PVYM/TFrn5q1cvVHj9+bkTlqajlnY3NQbSxFbz -ayuKJHLy0AK6sNQZqUxRS2wKdqXBSvfx3DejvnMB9DFEW3H8qv+z8vuf4g/t -27rlaHHPLydkT3Z58g13ZTuyzmbknM17YmKjvlu3/WzXJqe84cHFvT6vvOi8 -IeVmmYRxvyWxpmxID3Z5YchftAwZ6q53x5Q93uU567DA6LuK/nGVEF5fOdHW -xS8k/GhS4omMCqkufFR+Eljd9RifV17m7fm9oqks49vxLw3j778qaCxMCXb4 -++jlyfdFWHNW+KpN0QnHYrasichuRn4pmXYMpI2t1nMriSS5HQYNJAV0Ibdm -VmckN0UtMT2sS9NeuHGS75k6xLkFwC1wYdaWj/b2nGHoP633HjRrhPjWtoCd -98iOHOGUqzR+ch/riSS7XnEdTumismJpRNkLZmyFxybrRyZIi467+qx7uqbJ -us49KhZAsSYTpMfGXK6jfCeYK66a8pP7WEkk2fXKCuCKLiprlgYrjfRff9fo -RRDAGiGwxqbOZWKVUlyQsnbMi6++sz+9QNS7Q1qQreHSeiFm4kmEC64y8ZP7 -cD6S7HplNXBBF5U1S4OVHVq8pxiemgAAAACugDf9sT3sMuOXMAAAAADAwhCt -hUnH77TAWxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB04C15EV/M -5Y91mLj0YLHE6j8o5TIQau4AWgAAC8gEl88VIdYDYIi0IvHoXRGuwirifcb4 -MynaCZgJWagJcdG5ywKZqf/KBAsmycDDwloAwGCAaM2PWn+m2kJntxHKdqVm -PJPcX8tfAZUiLQh5qOXVKeuj8nt7Zqxlk2TgYUktAGBwIK9KWPZDAUltL3aR -FO77PK4MJo19gGGoJQU/LEuo6tVtpY+ShFAMtGHbAloAwOBAWrJ73vfFUtN/ -yMBU+ektQf7e4/5pP3VFYpX++cFEa1Hy/2fv3MOauLZAf/rX+Y5tT2s9VIRD -PSAUVAQ1Wqm8Wj2tKLa2VK8v8H60th5UVHwXbXtqa1GRV8XaAypaAQWxn5Vb -FGvRIgj4BARFKY9ECCKPkEAek2Qml4QQ8piZzCQTEmD9/vIbydprr7X2nj1r -z+x1tLDdvCOoMFHtqQ1zXrd7YbSz37qTjwlqZSPNBad+ftBjZI4jVtUMZC05 -y6aFlqkLNaP8ezmZxW14lWkYQ7dFFXimFld//V5MjRk+xgsSJt2hwBBuUWpU -0IwPimhVsiPQ1sC5FvUFvbA32xcAMDKQ1O4P+ICRXSAJ+8yhS029Q1PeemHZ -ay6faI6Qx8Ts/HN/tPauFdEedq3A1BuU6EH8xsOlrYi04/bh9+1f8j5Qa3hL -kT39ZdOqVKNPZ4SqmoOMe261n53TMq07hag6MfTzKx2WOhXSsEUiU/MKFgXg -2YsieEHCoDt69ZY8a+LeinIdR7PKKq6y+M61lC9oh72ZvgCAkQH67PzcaRsr -mEjWoFKhOiMjqdkza+6Rxr7EhbQpM8zdxX1yL5M8/XeT1eOSt+auibwpwP9P -6dOrV1rUI1pYvt7F8b0ivr4G7RdDfdaVEQgwrqo5SJtydiX+GjvdVfvepMA6 -C0JnRRTzLZGpMmyR2NTCig3T3sltI1ODxPh4QcKkO/qQPPqWdgVwXG0JnGsh -X9AOewq+AABAXP251/SYx7S2gdDuqjPRIX6BO+O2hr471cnZJyKzcUAAyr+d -vDIk0ZSsBWnJaW26b4VPfFO/trRCzj0d6LG8RHsuZFZVYmlSTlZ0Sg2/4QeW -7r2pd0L8LdhjYX6HiTORCS3iInn83fSpXz4k6yiJ8Y0FCTPuoH1voutci/kC -vzkiKPgCAABB6dIJ0w810HxuwDou+b/qHKlcg8qasz8aZzcnq0WVs5B33c3a -uybI/cVRzuF5tCucULw3YbzCtXO3FHXpzzHdZctcp39fr9sXE1UV1+ckpRQZ -ZIDwpSGN6dHHasUKaaPhnUL88AuvyZsrTa5DRr9FPKQNh1huYaQvSZIYnzxI -mHEH+b2JljsURM61jC8ImyOAgi8AAOAXBY9n/Y+tu0ks4579eF6gHgvWFw9M -P6pyyYn1qpyOoGSp0790tmwwQdk2t7GBVPMWA8296TF6jLevYXPaoLwbMVHH -anC23nnX3naaeapZb2owSVVZc8Y8J4+Iuwb7UDjSOupORp+sV66g8e4USF38 -NNcVZYYzkXEjm9giHjL2jzNcPryB83dUjI8bJGqYcwfJvYmOO0icawlf0A97 -Yl8AAKBBUPKRC4v+fov2IO25+9nrnno5ip7bn3i982s7zeyJ8ecmTFSbuf9Y -Bf4HoIIbIS6sH/T7wqyqhtIq7se+5T3FW8Ukp1F/fdnN6+2N5ZopS1Kzx2vi -+nLTN/Rot4iHtCGZ5bocZ1YegOy5iShIGHWHKftN9JxrAV+YEEsUfAEAgKgy -ynNGfB3dt4aUg3TKwT+VP+sdan5+MY8kCkzc0tiGqMYlUv/jov8wn9NDnlxI -SLnZV3IS7ao6f5GrozdSF8eaHKk/9TCrKp40DTLO0Tfc9J5iBKXL3X0zuaa/ -Hka7RTyQ2gMsr+1k76GQGZ8gSBhzRx+SR9+YdG+i7lyL+IJ2LFHwBQAAcm5G -AGvXA7obs72D1M5+wfZ9SckJ/924+6xyTxjjXV8z1cE9KDL2eEb6T/kNYvpb -zqT3JnlbXoT73577i5rnRnnF/qk3W0oe7/Xx1d+TZ1ZVHGkD4NwpJI/2+sw9 -yjHjwxq6LeIiur91WmBWC1khaRLj4wUJg+5QIm2ruLg/4JXn3bZkl9YJKRe8 -puVci/iCfixR8AUAAApR1U7/sFK6yW/t5IYNgfIKd3y4X3dJyqyq9KRhgpu7 -Qr65a9YZNYzozy9aPHun6Ut104LEttwxXHwBACOFnjtRC2LpvUSuHqT0U4GD -gISTm5hy9enAYp1ZVelIk3DykpMut5j57RQT+iO18cGbzfnA2KQgUWIr7hhG -vgCAkYKo+ruQ2Boa845cUJm9YcLz//j3wbxKvqXOPDADDGnv6NsAYFhVetJQ -cSsPMfMLS2b0R+qOLNtXbdZKnXaQDGAL7hhWvgCAkYK8LX/75t/aIAE+PEE7 -/tgdfZn2iyl6QJAwATO+AIARA9p16/iJcijNMwzBuu9nnLzdxcA9BYLEXJjz -BQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAVkH65Kflb31n2iep -gB5gTAYBYzIL2NNqSDiXz1XBpyu0wISPTh/c6ztrD0Ss+YAxGQSMySxgT6uB -dZcnbM5qMvOssREGyis7nvGg+dr7vhCxZgPGZBAwJrOAPa2HlJ226ttK0wuu -MQUmGzrPbVLuxaP/rwlRdBXaYsQOJUsqbN2YQwwwJrOAPa2IuCbm/a+raRZw -wkS1pzbMed3uhdHOfutOPsapyK0EaS449fODHmMTJYZwi1KjgmZ8UESrrhw+ -4vozO8KC/Sf902nm6nS28sRolH8vJ7O4zdSyPSivOG7dtoS04wlb18Xf4KkO -nJHUxi9+7/1FixYF+48bMzFo9dFGk4+mtl1LqpG15CybFtpfImrEGJOaKDqM -4Mhk3phqhlJwAnSR1O4P+IC0DjoOogfxGw+XtiLSjtuH37d/yftAraHHZE9/ -2bQqtc74SgOTPGvi3opyHUez5ikeEvaZQ5d6VzkKeeuFZa+5fKKuRSCqTgz9 -/EqHCUdsou0XV3rOz3na+1N5y9l5nqGX2rWPQ+MXLfb/xpzVlM1asr9t7rnV -fnZO2uULR4QxqYiixUiOTMaN2d/8UApOgC7os/Nzp22soJfRkz69eqVFHV7C -8vUuju8V8fXltl8M9VlnvCCrGsmjb2nX48YDlQrV+SxJzZ5Zc480qjfRsM6C -0FkRxXy6CzZ5c7qv48y0J6qlmIyTynL0P61d05tCxMpbc9dE3iQwhO1ask+9 -ppxdib/GTnfVKa07AoxJQRRNbDAySbFpY/aJtbXgBJhFXP251/QYU6rGqem+ -FT7xTf3C2wo593Sgx/IS7bBFu6vORIf4Be6M2xr67lQnZ5+IzIH64rRnVFJp -vQ/3t5NXhiTWDGQqsc7fgj0W5ncYhCzCLUgOC5j9adrRuO1hgW5eoSfKco/s -iVzi4zp7SyGvq2SJg71mKHVdD3rVcXlZN2UtlZAWmtfG5iwp5WRFp9TwG35g -6Q7/kWNMElGEDJ3IpIwtGtMGgxNgFkHp0gnTDzWY+o4exitcO3dLUZd+IHSX -LXOd/n29rlis45L/q86RyjWNrDn7o3F2c7Ja1CsTshlVXJ+TlFJk8JhOKE3e -dTdr75og9xdHOYfnaUrliB9+4TV5cyVOUTdh5SZXh6DzragCa8sNtHMK/70T -VcjYKazx8wsargSOcdDEqKBkif2YOdfoPZNQnE5tzpJIY3r0sVqxQtpoMPxH -jDFJRCkZ4pFJEVs0pk0GJ8As/KLg8az/sXW3D2Xcsx/PC9Rjwfpi/ZhCeTdi -oo7V4Gxt8q697TTzVLNeoKlKWifWqx7vBSVLnf7Vn3Unm1FlzRnznDwi7hpU -sSaWpgQTlG1zGxuY26ZWDqmLn+a6Am8lJKra7uHc9z+CksXjJ+5+0LuoxZ5d -8HV8I+Nx8eJxYxf2r6b41xeMpbqaGrDhmx6jx3j7EtmwD5uzZEfdyeiT9col -Kt7wHynGJBGlGAaRST66jVnAesa01eCkYk+AMoKSj1xYmuQ3HTBRbeb+YxX4 -H+wKboS4sH7QF6sdZj13P3vd88uH6tyGKbskxNL66Ln9idc7v7ar9ZPU7PGa -uL4cZ2ONJGLTOeyffBw0WegnaTMdfTO49DZajS/1bdCSFfdj3/Ke4q1iktOo -v77s5vX2xnLNvDEyjEkqiowhEpnGsU1j2mpwAswiqozynBFfR/u9GeTJhYSU -m30lPNGuqvMXuToikLo41uRI/fhQhtmUg38q/1LakOznF/OoPxktefSNSTOq -vjRM3NLYhqjiH6n/cdF/BjIngtLl7r6ZeNGmH7G7tCK2GXmWu9QzWJkGUKCt -5xdOWZFHtyy5senURi2pQcY5+oab3tJ0JBjTiCgyhkhkGsN2janBpoITYBY5 -NyOApfIRnR+15UW4/+25v6h5bpRX7J96sSZ5vNfHV3/PszfM7OwXbN+XlJzw -3427z/Zvk0rbKi7uD3jlebct2aV1QsoBgSMN411fM9XBPSgy9nhG+k/5DWLN -Kk3yaK/P3KMcg08fMKTlelLAKy+z9v3e0FGX/9XkF0f7HrzKab+fHeH89/Hh -mff4SGdh7NptiWknknasjyvqpL2UIp1ObdaSA+AM/+FvTAqiSBgikUmKLRtz -AJsKToBhRFU7/cNKqb6hTB2UV7jjw/1VOjuS2o/n5kNDGia4uSvkm7vdQzID -bFOWVIAxjQORaR1jKoa4PQE9eu5ELYg14yVyYiSc3MSUq08H1lWqMDMhgYgP -ZWkSTl5y0uWWIXxeoK1YUgHGpAJEpjWMqRgO9gR0EFV/FxJroa/KMKS9oy/J -rpALKrM3THj+H/8+mFfJN/t5mYY0VNzKQ4b8OsoWLKkAYxoHItM6xlQMF3sC -Wsjb8rdv/g12/gAAAABbAu26dfxEOdRvAgAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAABc0K6yuM8W+k50nrricLWQsffvLSR2RAGuAZgCnA4M -NcQN6cfv8FEF0pAaMCGYSi1Wa4odUYBrAKYApwNDDkwukqtWUcJ7G3xX32Sq -fLOFxI4owDUAU4DTAV0w2ZB5eBbeP/BpSh3jxxFaSKyZDCG/KEaSa4aWX4Yi -Nuh0wCiYqPbUhjmv270w2tlv3cnH+CWXFUhzwamfH/QYG0IYwi1KjQqa8UER -rep4+Ijrz+wIC/af9E+nmavT2cqTjFH+vZzM4jaD4i7kOhF3EOuuyjxa2G7a -sZYorzhu3baEtOMJW9fF3+BpnWdollgKamthDb+okbXkLJsW2l98ZyS5RiFu -OLf3y7iUYz/EbArfea4J5+DsIeQXSqpSi0Y6MDS6B7C004HBRvQgfuPh0lZE -2nH78Pv2L3kfqDU8zl729JdNq1IprDowybMm7q0o13E0K7fiIWGfOXSpqVcZ -eeuFZa+5fHKnr2qzqDox9PMrHdTjjLCDmJidf+6P1t6JBe1h1wpoRi7afnGl -5/ycp70/k7ecnecZeqkdZUCscbW1sIpf+tvmnlvtZ+ekXRhupLhG3pwxl7Xt -vrLuEdZ55T3v/3tLL1U0hPxCUVUq0UgLpka3Bks7HRh0pE+vXmlRx5mwfL2L -43tFfL0/6fV6qM+6Mqr1CyWPvqVdVRwPVCpUZzokNXtmzT3SqF6dYp0FobMi -ivkUV25EHZQ2ZYa5u7hP7mWSp/9u3QprxpE3p/s6zkx7olrkyTipLEf/08o6 -0jTEyltz10TeJDCr7fqlT72mnF2Jv8ZOd9UpWjpsXENOr8yZjrMP1fZO6LKm -E2+98YVu3ekh5BeqqlKIRpowNLo1WHo8Atal+1b4xDf1izQr5NzTgR7LS7R9 -hnZXnYkO8QvcGbc19N2pTs4+EZkDtZZpjzVSab0P+reTV4Yk1gwMf6zzt2CP -hfkd+uFLLoe4gwQg3ILksIDZn6YdjdseFujmFXqiLPfInsglPq6ztxTyukqW -ONhrRmjX9aBXHZeX0dtpJS1QblxtK/pFysmKTqnhN/zA0p0Dh41rjIB2Xo3y -HjN+0VdH9kbtOPlA983kIeQXuqqqoOUp5ka3DY1HYLDBeIVr524p6tIPiu6y -Za7Tv6/XjUWs45L/q86RyvWNrDn7o3F2c7Ja1E/LZGNNXJ+TlFJk8MhOKE3e -dTdr75og9xdHOYfntfX/TPzwC6/JmysNl0AkWpF0kBBh5SZXh6DzragCa8sN -tHMK/70TVcjYKazx8wsargSOcdBEv6Bkif2YOdforX0pjgWb8wvSmB59rFas -kDYazIHDxTXGEVXt8/d4eZRdQPSlVt0NkiHkF7qqKsg9ZeHRbSPjERhsUN6N -mKhjNTh7nLxrbzvNPNWsF3GqUsuJ9arnfEHJUqd/9WeMycaarDljnpNHxN0e -/f8glqYEE5RtcxsbmNumVg6pi5/mugJvVUQih7iDhIiqtns497UjKFk8fuJu -Ze4Ge3bB1/GNjMfFi8eNXdi/TuNfXzCW6jpNxj378bxAJW96jB7j7av654L1 -xfgTs835paPuZPTJeuXKF28OHC6u0QLHNQjnxKr3v3/Y3fZHzHz70dO+qBBq -/ecQ8gtdVck9ZfHRbQvjERhkMFFt5v5jFfjFCQU3QlxYPzTqPcNrx1vP3c9e -9/zyofq53JT8ObG0Pnpuf+L1zq/tav0kNXu8Jq4vF1KXQ9pBQkjGQjqH/ZOP -gya//SRtpqNvBpfePqvxdZoN+qXifuxb3lO8VUxyGvXXl9283t5Yrplqholr -jDW+w3tmfJ2yK1jXHx9PcIu4p9XhIeQXeqqa5ikSgf1QHd1WH4/AYIM8uZCQ -crNL9VYL2lV1/iJX5x0cpC6ONTlSP1aU8Tbl4J/Kv5Q2JPv5xTzqTyJLHn1j -0ljTl4aJWxrbEFXAIvU/LvrPwFO/oHS5u28mXuTha2Wkg4Toj4VdWmOhGXmW -u9QzWJlgUKCt5xdOWZHXhhqVqIOxsWCjftEg4xx9w01vfT5MXEMOUpfwxqQ1 -fR1H/jw4yyf2T0T7f4eMX+ioaqqnCASaMrqtPB6BQUbelhfh/rfn/qLmuVFe -OgNNieTxXh9f/c3P3nizs1+wfV9ScsJ/N+4+27+9KW2ruLg/4JXn3bZkl9YJ -KQcHjjSMd33NVAf3oMjY4xnpP+U3iDXLNcmjvT5zj3LwPoPAkUOhg7hgSMv1 -pIBXXmbt+72hoy7/q8kvjvY9eJXTfj87wvnv48Mz7/GRzsLYtdsS004k7Vgf -V9RJe2VOOhZs1i8D4MyBw8U1xhToqU5d+3/WfP196pEDO3ccr9b9NmgI+YWq -qqZ6ilAg/dFt5fEI2CYor3DHh/t1X7/Ufk43HxrSMMHNXSHf3O3GzSwwq5Wt -Y1N+UYBr+hlCfrG8qvQEkoYQAOAg4eQmplx9OrDAUsVbX86dAShLk3DykpMu -txC9wMqsVkMAW/GLAlyjw9Dxi6VVpSPQmKoAgAuGtHf0JYgVckFl9oYJz//j -3wfzKvlmJ0xoSEPFrTyEaE3FrFZDBlvwiwJcY8BQ8IulVaUnkIqqAAAAAAAA -AAAAAAAAAAAAAAAAAAAAwHAD7SqL+2yh70TnqSsOVwth29gULGRDcA0AACMV -cUP68Tt8VIE0pAZMCIbPBE3BQjYE1wAAMGLB5CK5akUuvLfBd/VNRus+jBQs -ZENwDQDYPJgMMhqWRXj/wKcpFMqqDi5Dy+8WsqFtugYAhiTihnN7v4xLOfZD -zKbwneeacL7KRpoLTv38oMfY1IMh3KLUqKAZHxQxUC1HXH9mR1iw/6R/Os1c -nc5WflOO8u/lZBa34R3WRkdPTFR7asOc1+1eGO3st+7kYzqVGciRteQsmxba -f46ZcW1JQXnFceu2JaQdT9i6Lv4GT+ukNay7KvNoYbt530VSM4I1/K6GCWMa -hpBGY3NsaGHXAACgQt6cMZe17b7yRC2s88p73v/3ll4+Qvb0l02rUiksBTHJ -syburSjXcQwUmJawzxy61IQoCyVfWPaaS3/BF1F1YujnVwyql9HRU/QgfuPh -0lZE2nH78Pv2L3kfqGXmcBYZ99xqPzsn7TM2ybQlB22/uNJzfs7T3p/KW87O -8wy91N43BWJidv65P1p71w9oD7tWYOosSMUIVvF7f9sMGJMghMy1oaVdAwBA -HzJO6kzH2Ydqe+cgWdOJt9744oFObZXeoRjqs073wH0STClGgwcqFaozRJKa -PbPmHumvMYN1FoTOilCW0NT/AUU9pU+vXmlRT8TC8vUujpo6zmYhbcrZlfhr -7HTdmm6E2hpB3pzu66gpRsNJZTn6n1YWDZA2ZYa5u7hP7mWSp//uKpzaoBoR -rblrIm8SmIOCEazk9z71GDEmQQjRsCEeDLgGAABKoJ1Xo7zHjF/01ZG9UTtO -PtB9/VXOPR3osbxEe4pCu6vORIf4Be6M2xr67lQnZ5+IzIEz+mnPUaTSFCj/ -dvLKkMSagdsl1vlbsMfC/A69GYquniq6b4VPfFO/QoApqko5WdEpNfwGg3qj -BNoqFAi3IDksYPanaUfjtocFunmFnijLPbIncomP6+wthbyukiUO9pr7Rdf1 -oFepFvHUQPnAf3wjWNHvtI1JN4SMYHHXAABAFVHVPn+Pl0fZBURfatXN6XeX -LXOd/n297syFdVzyf9U5UrmElTVnfzTObk5WizqFQTZHietzklKKDLIyhNLk -XXez9q4Jcn9xlHP4QOkx8cMvvCZvrtRbl9LVU/m/vMK1c7cU4ZZepqUq0pge -faxWjFsLG19bJcLKTa4OQcpaaFhbbqCdU/jvnahCxk5hjZ9f0HAlcIyDZsoT -lCyxHzPnGr1nEor3JiIjWM3vJhmTZggZw8KuAQCAEgjnxKr3v3/Y3fZHzHz7 -0dO+qNAug8m79rbTzFPNeqNauyCLoGSp0780yXySOUrWnDHPySPibo/+fxBL -U4IJyra5jQ3MbVNPn0hd/DTXFfpLVbp6KlDejZioYzX4LwHQUbWj7mT0yXrl -Oh1vOsXXVglJgemMx8WLx41d2L84519fMJbq4lzGPfvxvEAlb3qMHuPtq/rn -gvXFuHdgEiNYye+mGpNeCBnD0q7RgtA1ADDiEVXt8J7ZV1wF6/rj4wluEfe0 -bk6CGyEurB8a9TI+2lNBz93PXvf88qE6ZWLKvgOxtD56bn/i9c6v7eohLKnZ -4zVxvX4daXp6YqLazP3HKgS0ZwVDgRX3Y9/ynuKtYpLTqL++7Ob19sZyzcSI -r60SkgkwncP+ycdBs6nxJG2mo28GXpFqEow/N5EawTp+N9mY9ELIGBZ2DQAA -VEDqEt6YtKZvgYr8eXCWj061ZaQujjU5Un86UE4FUw6q/k7akOznF/OoP78v -efSNSXOUvjRM3NLY1lfLBan/cdF/BhIygtLl7r6Z+tMBHT2RJxcSUm52qd6u -Qruqzl/kUn5Tj7jjCtxa2ATaKtGfAHdpTYDNyLPcpZ7ByqySAm09v3DKirw2 -yvW6+zB2bzJiBGv5XQM9Y9ILIWNY2DUAAFAC66lOXft/1nz9feqRAzt3HK/W -/ZxF8nivj6/+VnnvVGBnv2D7vqTkhP9u3H22f+dZ2lZxcX/AK8+7bckurRNS -HrE40jDe9TVTHdyDImOPZ6T/lN8g1ugkebTXZ+5RjsGXLlT1lLflRbj/7bm/ -qHlulJfOvZi+qgPgTKdE2mJIy/WkgFdeZu37vaGjLv+ryS+O9j14ldN+PzvC -+e/jwzPv8ZHOwti12xLTTiTtWB9X1El7ZU56b6JgBOv4fQAaxsQXRRxC5Fje -NQAAMAHKK9zx4X7dd2K1UyjmQ0MaJri5K+Sbu90484zl9aQtkERb28em/K4w -YkzGHQ0AwBBAwslNTLn6dGANrZoK+vaoGICyNAknLznpcgvhO98W1pOmQGPa -2j624neFUWMy7mgAAIYGGNLe0Ze7V8gFldkbJjz/j38fzKvkm53QoCENFbfy -ECPPIBbTk7ZAKtraPrbgd4URYzLuaAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY -yqBdZXGfLfSd6Dx1xeFqIWPvLlhI7MgB/GKzgGsAwPKIG9KP3+GjCqQhNWBC -MJVzu60pduQAfrFZwDUAMAhgcpFctUQT3tvgu/omU8UOLCR25AB+sVnANQAw -iAjvH/g0hUKNV9sQayaYbMhkTEaUX4YW4BrA0mCi2lMb5rxu98JoZ791Jx/j -V41QIM0Fp35+0EM+qVETZQKylpxl00L7T1dD+fdyMovb8A5WI0Fcf2ZHWLD/ -pH86zVydztY+QgDrrso8Wthu2mebKK84bt22hLTjCVvXxd/gaZ0mZ5ZYjRDm -vKP8kpZblBoVNOODIgYqDhna0zS/qNF1cZ+6I8MvzI+ake0aYLggehC/8XBp -KyLtuH34ffuXvA/UGp78Inv6y6ZVqUYXM1REmYKMe261n52T9smfourE0M+v -GNSrI0bCPnPoUhOiLFZ+YdlrLgP1fTAxO//cH63S3iHTw64V0BwWaPvFlZ7z -c572/kzecnaeZ+ildpQBsRoY9E6vTpJnTdxbUa7jGCieTmBP2n5RY+jiEeMX -xkfNCHcNMFyQPr16pUU9GITl610cNfWmNfQGU6jPOt1yBSaKMknDppxdib/G -TtetNId1FoTOilBWOqUGKhWqM1mSmj2z5h5RlyaSNmWGubu4T+5lkqf/7iqc -ArVkyJvTfR011Xw4qSxH/9PKGg5mitXAoHfUmFJoCQ8Ce9L2iwpDF1vfL/LW -3DWRNwnMatOjZmS7BhiWdN8Kn/imfl0EhZx7OtBjeYl2KKDdVWeiQ/wCd8Zt -DX13qpOzT0SmboUDAlGEEAuUcrKiU2r4DQZVULHO34I9FuZ36I80ct1Q/u3k -lSGJNWIFRRBuQXJYwOxP047GbQ8LdPMKPVGWe2RP5BIf19lbCnldJUsc7DWT -Sdf1oFepVkGlDzPeoX1vomtP+n4hdDEZFvcLxaL2tjlqVP8LrgGGCRivcO3c -LUUGJaK7y5a5Tv++XnfAYB2X/F91jlQuwmTN2R+Ns5uT1SI3KkqJuD4nKaXI -ILWALxBpTI8+VivGrdAtfviF1+TNlYbrK0Ld5F13s/auCXJ/cZRzOPVKc8LK -Ta4OQcpiclhbbqCdU/jvnahCxk5hjZ9f0HAlcIyDZmgJSpbYj5lzjYG9HEOY -8g7ZvYmWaxRE9qTpFzIXk2Jhv1CcAG1x1CjANcAwAuXdiIk6VoOzEcu79rbT -zFPNesNCu2KOoGSp078GdnCIRfUia86Y5+QRcbdH/z9wBHbUnYw+Wa9cweGN -DqQufprrCrwlF4luCmUhoLJtbmMDc9vMr9Cd8bh48bixC/sXgfzrC8ZSXQTK -uGc/nheox4L1xbgzE4PeIbk30XENiT1p+YXcxaRY2i9veowe4+07WH5hbtSA -a4BhBCaqzdx/rEKA62TBjRAX1g+NeokG7WDuufvZ655fPhQbFUWGocCK+7Fv -eU/xVjHJadRfX3bzentjuWboSWr2eE1cr182nEy3fnpuf+L1zq/t5t+b0jns -n3wcNMnzJ2kzHX0z8GqGmwWD3jFtv4mePen4xYiLSbGwX4wvzm1z1IBrgOED -8uRCQsrNLtXLMmhX1fmLXJ0XhZC6ONbkSP2AVgbzlIOqSt7ShmQ/v5hHEuOi -yMAXqAanQrdCULrc3TcTL6zxRGHilsa2vhJASP2Pi/5DPaenP9B2aQ20ZuRZ -7lLPYGX2QoG2nl84ZUVeG+Wa5NRg0DtKJI++MeneRN2e9PyiAc/FpFjYL8Ym -QNsdNSPeNcDwQN6WF+H+t+f+oua5UV6xf+qNDMnjvT6++ju0vcFsZ79g+76k -5IT/btx9Vrl3SkEUCTgCB8AZHZJHe33mHuXgfbGBIwrjXV8z1cE9KDL2eEb6 -T/kNYoorVAxpuZ4U8MrLrH2/N3TU5X81+cXRvgevctrvZ0c4/318eOY9PtJZ -GLt2W2LaiaQd6+OKOpl9aGLQO0qkbRUX9we88rzbluzSOiHlGYGWPen5ZQB6 -E6Dl/UI6AdryqBnhrgFGFCivcMeH+3Xf6tROAjACPYGY4OaukG/uduPeYhjX -zaaxvHdoSAO/aLC1UQOuAYYlEk5uYsrVpwOrQFUwx9cxPMooCpRw8pKTLrcQ -vWvLuG62joW9Q1ka+EUXGxo14Bpg+IIh7R19WWyFXFCZvWHC8//498G8Sj4T -WSx6AlFxKw8hSsoxrtvQwGLeoSEN/GKIjYwacA0AAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAANYB7SqL+2yh70TnqSsOVwvNPZaLWWkjkJHmDqtoaPtmAYAR -j7gh/fgdPqpAGlIDJgSb+6E5s9JGIJZ3ByaoOneZw0i9bwnn8rkq+uffGdPQ -4ljYLAAAMAAmF8lVs4vw3gbf1TfNrLvErLQRyGC4Q9qUvTmhHP9sBBqyu8sT -Nmc1Ua2zREtDC2NJswCA7YPJhlKYC+8f+DSFQk1za0hjiiHkEcu6Q1j57ao0 -yuX7cJGy01Z9W4lzmrdpWCVgLGAWAGAYTFR7asOc1+1eGO3st+7kY/wCMgqk -ueDUzw96jE1wGMItSo0KmvFBEXMV9mQtOcumhfYfNYny7+VkFrfhHVhJohZx -H7Huqsyjhe20PocX15/ZERbsP+mfTjNXp7O1D3oxRRodbbWwhkcMO24L7lCj -GyeE0sTVX78XQ73wsSHimpj3v66mJQDlFcet25aQdjxh67r4GzytU3YZCRh8 -6EWp2WYBAIYRPYjfeLi0FZF23D78vv1L3gdqDQ/Vkj39ZdOqVApLO0zyrIl7 -K8p1HM0qDCTIuOdW+9k5aR+DLKpODP38ikERUGII+4iJ2fnn/mjtXS6iPexa -ATWJEvaZQ5eaeiXIWy8se81loJqbSdJoaKuFVTxC0HEru0ONYZwQSeMVLArA -sylFJLX7Az6gtTuEtl9c6Tk/52mvBvKWs/M8Qy+1o6QaMgHtKDXTLADAMNKn -V6+0qANSWL7exfG9/pKUGnqHVqjPOsrlW0ypXkesXlPOrsRfY6frlt3EOgtC -Z0UoK0hTE0LQR2lTZpi7i/vkXiZ5+u+uMqxVjQsqFaoTZJKaPbPmHlEXkDNR -GmVttTWwjkcIOm5ld/TJNIgTYmnCig3T3qFc9lgf9Nn5udM2VtDI6Mmb030d -NdX0OKksR//TyhpKTAUMgZ50o9Q8swCAJem+FT7xTf2SMwo593Sgx/IS7YkQ -7a46Ex3iF7gzbmvou1OdnH0iMgcqvtCeCYmlSTlZ0Sk1/AaDktBY52/BHgvz -O/QHEqliJH2kq5jqf/m3k1eGJFo0DWJzHlH9r0HHre0OwjjBRfL4u+lT9erD -Ukdc/bnX9JjHOt1AuAXJYQGzP007Grc9LNDNK/REWe6RPZFLfFxnbynkdZUs -cbDXLDC6rge9SrUKOSWYilLzzAIAlgPjFa6du6WoS3+C6S5b5jr9+3rd6QPr -uOT/qnOkcq0sa87+aJzdnKwWdXaAbCYU1+ckpRQZpH/wpSGN6dHHasUKaaPh -nCN++IXX5M2VhktNEsVI+khoEyJp8q67WXvXBLm/OMo5nHoJXZrYnEcURB23 -qjvI4gQPacMhlluYqe/FCUqXTph+qEHvbiqs3OTqEKQs5oq15QbaOYX/3okq -ZOwU1vj5BQ1XAsc4aO5GgpIl9mPmXGNuO5apKDXPLABgKVDejZioYzU4++68 -a287zTzVrBfZ2sXIBCVLnf6lSWiTzISy5ox5Th4Rd3v0/wNHWkfdyeiT9coF -IN6cg9TFT3Ndgbf6JFaMpI+EkEhTKD8MKdvmNjaQaiJExj378bxAPRasL8af -m23OIyQdt6I7yOMEDxn7xxkuH97A+TsqDuIXBY9n/Y+t9/KHfhXy3QNVyDMe -Fy8eN3Zh/3MT//qCsVSfm6gGDCNRSmwWALAamKg2c/+xCvxPCQU3QlxYPzTq -LRS1h0PP3c9e99RkA0zZ3TCUVnE/9i3vKd4qJjmN+uvLbl5vbyzXjDhJzR6v -ievLcbL+RIqR9pGGYrpJj57bn3i982s740l6G/QIWcet5w4jcYKHtCGZ5Wpy -Vk1Q8pEL64i+8UnuTekc9k8+Dpr9pidpMx19M7iMPmozEqXmmQUALADy5EJC -ys0u1atDaFfV+YtcnZd1kLo41uRI/XlHORymHPxT+Ze9Qe3nF/OoP8ctefSN -STMhvjSFcvv46BtueuthQelyd99MvBGOL8pIH2kpholbGtv6CrUh9T8u+g/z -OT0b9Qhxx63pDg14cYIHUnuA5bXd1FcPRJVRnjMMKsTq35t2ad2bmpFnuUs9 -g5UJPwXaen7hlBV5bSiubFNhJErNMwsAMI28LS/C/W/P/UXNc6O8Yv/UG3eS -x3t9fPX3q3uHg539gu37kpIT/rtx99n+3VdpW8XF/QGvPO+2Jbu0Tkh5BBJI -6wNnzpE82usz9ygH76saHFEU+khDMYx3fc1UB/egyNjjGek/5TeIGX5oslmP -EHfcmu4YgOq9SXR/67TArBYTbw9ybkYAS3Xr0YAhLdeTAl55mbXv94aOuvyv -Jr842vfgVU77/ewI57+PD8+8x0c6C2PXbktMO5G0Y31cUSfTaxlGotQ8swCA -NUB5hTs+3K+7otJOI5gPPWmY4OaukG/u4h+xYk3FBg2b8shQcwe/aPHsnaY/ -H4iqdvqHldrUtowtmAUArIOEk5uYcvXpwEpdNRwMUhumQkeahJOXnHS5hei1 -Y+spNrjYikeGnDuQ2vjgzXdId6TI6bkTtSD28SCfMUSKTZgFAKwFhrR39OWv -FXJBZfaGCc//498H8yr5Zico6ElDxa08hChBYU3FBh9b8MiQcwdSd2TZvmqz -Hg9E1d+FxNbYys3JZswCAAAAmAba8cfu6Mvmvrwib8vfvvk3hl9osCbMmAUA -AAAwAaz7fsbJ210M3FPQrlvHT5SbV7/JZmDOLAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAwVEC7yuI+W+g70XnqisPVwuHxZrCNAqZmFqvY00KN -QmwMQyScy+eqdL62MLwCECJuSD9+h48qkIbUgAnBBTzlNUxQde4yh/zjfzAy -bfBMDZiOVexpoUYhNoYdWHd5wuasJinZFYAMTC6Sq+4wwnsbfFf3l/6UNmVv -TijHP8JUAUY2DXxTA6ZiFXtaqFGIjeGGlJ226ttKIekVi4DJhtsTg/D+gU9T -6gaelYSV365KY+PffQbJyEYZol7QNzVgHlaxp4UahdgYJohrYt7/ulpMekVV -ZvTUhjmv270w2tlv3cnHBHWwkeaCUz8/6DE22WEItyg1KmjGB0W0ytXhI64/ -syMs2H/SP51mrk5nK49SRvn3cjKL2/CqAVmiuX6w7qrMo4XtOmeKiau/fi+m -RqwwBM/IRrFZL+ArZqYjUF5x3LptCWnHE7aui7/B0zoSB8/UDOmsDyVjUhNl -ArKWnGXTQvtLStm2PUnR7Yj5jVqzL8AgIandH/CBTmrW8IpCIXoQv/FwaSsi -7bh9+H37l7wP1Bqepy97+sumVakUliuY5FkT91aU6ziapVRx1WefOXSpqVcZ -eeuFZa+5fKI+pF9UnRj6+ZUOxgOUoLnePonZ+ef+aO19REJ72LUCTcO8gkUB -eMbCM7JRbNYLxIqZ7gi0/eJKz/k5T3t/Km85O88z9FJ73wxEZGrGdB6AojGp -iDIFGffcaj87J+1yh7ZrTzIMO2Jeo9bsCzBYoM/Oz522sUJIdkWhkD69eqVF -Pd6E5etdHN8r4usLar8Y6rPOeNFQNZJH39Iu840HKhWqc1KSmj2z5h5pVCfQ -sM6C0FkRxXyG81UEzUmbMsPcXdwn9zLJ03+3VoE1YcWGae/ktumrgWdko9is -F8gUM9UR8uZ0X8eZaU9UDwkyTirL0f+0smY7sakNRbTmrom8SWALBo1JQZQp -SJtydiX+GjvdVacUrxXtaSqGHTGzUUvHBmATiKs/95oeo13ozPCKLt23wie+ -qV/PWyHnng70WF6i7Wy0u+pMdIhf4M64raHvTnVy9onIHKiBTXtWJJWmQPm3 -k1eGJGplz7DO34I9FuZ3mHhzotscEZLH302f+uVD/T80ZmSj2KQXcBUjdATC -LUgOC5j9adrRuO1hgW5eoSfKco/siVzi4zp7SyGvq2SJg71mku+6HvSq4/Iy -ervb8qaf3llI5dmUGWOSiCKEWKCUkxWdUsNv+IGle2+yoj0Z7ggZthMbgNUQ -lC6dMP1Qg5TsijYYr3Dt3C1FXfojo7tsmev07+t1f4V1XPJ/1TlSuciTNWd/ -NM5uTlaL+jGbbFYU1+ckpRQZ5C0Ipcm77mbtXRPk/uIo5/A8TQ0Z8cMvvCZv -rjR5HUizOQKkDYdYbmEGrwyRG9m4bjboBULFiB0hrNzk6hB0vhVVYG25gXZO -4b93ogoZO4U1fn5Bw5XAMQ6aGUdQssR+zJxr9B7wKM4/TBmTRJQSWvZEGtOj -j9WKFdJGwyndavYkh35HSLGN2ACsCL8oeDzrf2wZ2ZUBUN6NmKhjNTh7vbxr -bzvNPNWsN/JUtZ4T61X5DkHJUqd/aTZoSGZFWXPGPCePiLsG5Z2JpSnBBGXb -3MYGavJnSF38NNcVOMspGffsx/MC9Viwvlh/RqHXHAEy9o8zXD68oT8mcY1M -VTGb9QK+YoSOUIiqtns49/2PoGTx+Im7H/Q+X2LPLvg6vpHxuHjxuLEL+9fG -/OsLxlJdGw+Y8U2P0WO8fYnMSKazErrGJBGloGfPjrqT0SfrlY8deFO69exJ -e7yQd4QUW4gNwKoISj5yYWl2afCvqMFEtZn7j1XgfyoquBHiwvpB/1fa4dpz -97PXPTXZLVN2Ooil9dFz+xOvd35tV+snqdnjNXF9uekvadNrjgBpQzLL1XDg -EBrZKDbrBULFiB1BMv+kc9g/+Tho9hSepM109M3g0tvbNr42ZtCYpKLIMBRY -cT/2Le8p3iomOY3668tuXm9vLNfc1KxmT6Y7QorVYwOwNqLKKM8Z8XUI2RUV -yJMLCSk3+2pbol1V5y9ydf4CqYtjTY7UHzDKcJ1y8E/lX/ZO0n5+MY/6s/OS -R9+YNCvqS8PELY1tiGpCQOp/XPSfgSSboHS5u2+mGcOPXnMEILUHWF7bDXZl -CYxsFBv1AqlixI7Qn392ac0/zciz3KWewcqkjgJtPb9wyoo8ujXMjc0/DBrT -iCgyiL2jUG70H33DTe9xw2r2ZLojpFg5NgDrI+dmBLBUfie+0nutLS/C/W/P -/UXNc6O8Yv/UG3ySx3t9fPU3gXvD1c5+wfZ9SckJ/924+2z/vrG0reLi/oBX -nnfbkl1aJ6QcVTjSMN71NVMd3IMiY49npP+U3yDWLFslj/b6zD3KMeMjJ1rN -ESG6v3VaYFaLfh/xjGwUm/UCqWJEjsCQlutJAa+8zNr3e0NHXf5Xk18c7Xvw -Kqf9fnaE89/Hh2fe4yOdhbFrtyWmnUjasT6uqJP2KoN0/mHQmBREkUDgnT5w -pnTr2ZPhjpBg5dgAbANR1U7/sFIB6RVKoLzCHR/u131C0H7MNx8a0jDBzV0h -39wlPC+I4eaI4Rctnr0T52VWE41sFJvygoIZR1gNyxuTtkAbtifjlgFGOj13 -ohbE6rzNbHiFIhJObmLK1acDC01VuJqQusKHsjQJJy856XKLmSfVMaE8Uhsf -vPkOXobdZCMbxVa8oGDKEdbEwsakKdCm7cm4ZYARj6j6u5DYGgnpFcpgSHtH -336MQi6ozN4w4fl//PtgXiXf7AQCDWmouJWHmLmwZEZ5pO7Isn3V+K+xm2Fk -o9iCFxTMOML6WMyYtAXasD0ZtwwAKJT58vztm3/T3k00vALQB+34Y3f0ZcK3 -JcDIAAAApKBdt46fKNd+/9XwCkAPrPt+xsnbXWS3HjAyAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAoAHtKov7bKHvROepKw5XCwfpXXNmG7VK -FwASwCMMAsYERiTihvTjd/ioAmlIDZgQPEgnUzLbKJ40TFB17jKHkRMxJJzL -56rgAzE6WCWohitgTGBkgslFctW8K7y3wXe1QfHcodAovjRpU/bmhHJzDyzF -ussTNmc12ebpcjaLVYJquALGBJgGkw2ltbbw/oFPU+osc/TeIDWqL01Y+e2q -NLZZtxUpO23Vt5Wm145kiqEVSxqsElTDFTDmyAQT1Z7aMOd1uxdGO/utO/kY -v+S1AmkuOPXzgx5j0wSGcItSo4JmfFBEq6AeDcVQ/r2czOI20wpHyVpylk0L -1Slzg3VXZR4tbLfA+ZkkhjWjUYpdEFd//V5MDb0CVjqIa2Le/7qapoCRFEvK -Gh/Fceu2JaQdT9i6Lv4GT+v4LEaCikFjUhNFB3H9mR1hwf6T/uk0c3U6W3k4 -um0bExiCiB7Ebzxc2opIO24fft/+Je8DtYan8Mue/rJpVSqFdQsmedbEvRXl -Oo5msVd6iomqE0M/v9JBO1hl3HOr/eyctEqwYWJ2/rk/WnufL9Aedq2A0fAn -1N+cRql3gVewKADPlxSR1O4P+IBugn8ExVKvudsvrvScn/O096fylrPzPEMv -tfdNqAwFFYPGpCKKFhL2mUOXmnqFyFsvLHvN5RN1mRrbNSYwBJE+vXqlRR2p -wvL1Lo7vFfH1/qQ3bkJ91lGu9yx59C3tQuQ0FcM6C0JnRRTzaS3/pE05uxJ/ -jZ3uqpnYpU2ZYe4u7pN7meTpvxunRKEZEOlvTqN0uiCs2DDtndw2E1fI6LPz -c6dtrKCX0Rs5sdSLvDnd13Fm2hPVc4KMk8py9D+tLOROw7/y1tw1kTcJbMGg -MSmIogkqFaozrZKaPbPmHmlUZ4+taExgWNN9K3zim/pFshVy7ulAj+Ul2iMA -7a46Ex3iF7gzbmvou1OdnH0iMgdKRNOeT0il4SuGdf4W7LEwv0N/DBCLknKy -olNq+A0/sFwpl662nP4mSaPXBcnj76ZP/fKhiVk9cfXnXtNjzKjNOPRjSYFw -C5LDAmZ/mnY0bntYoJtX6Imy3CN7Ipf4uM7eUsjrKlniYK+Z5LuuB73quLyM -3mY95cLlzBiTRBQh5AJR/u3klSGJWqlj6xkTGMZgvMK1c7cUdemHVXfZMtfp -39frRjPWccn/VedI5QpJ1pz90Ti7OVkt6udtsvlEXJ+TlFJk8NBPIo1AMfHD -L7wmb640XEfhi0Ia06OP1YoV0kYL3JtM0Z++NLpdkDYcYrmFmfpqk6B06YTp -hxpMfZlieMSSQli5ydUh6HwrqsDacgPtnMJ/70QVMnYKa/z8goYrgWMcNBOo -oGSJ/Zg51+g94FG8NzFlTBJRSujaU951N2vvmiD3F0c5h+dpqqhZzZjAsAXl -3YiJOlaDs0vKu/a208xTzXoxq6oQnVivyhQISpY6/as/50w2n8iaM+Y5eUTc -NSiiTiyNQDGkLn6a6wq8pRWOqI66k9En65XLPbr3Jhn37MfzAvVYsL5Yf3DT -1p8URrogY/84w+XDGzh/R6VT/KLg8az/sWW0f0je5SEWS6Kq7R7Off8jKFk8 -fuLuB71PCNizC76Ob2Q8Ll48buzC/qU+//qCsVSX+gNmfNNj9BhvXyIzkums -hK4xyUPRFHsqlB/TlW1zGxuoSR5bz5jkMQkMUTBRbeb+YxX4H1kKboS4sH5o -1FtCa0dsz93PXvfUpI9M2SMgkkaomKRmj9fE9eU4+yGGoirux77lPcVbxSSn -UX992c3r7Y3lBmPQHGjrT1OaCV2QNiSzXE1OjAhKPnJhHdF3OhWGUyyRTKfp -HPZPPg6aLZInaTMdfTO49LbqjT83MWhM00KRRGA/Pbc/8Xrn13a1XKsZExiO -IE8uJKTc7Ksgi3ZVnb/I1XmLB6mLY02O1I82ZcROOfin8i97Z0E/v5hH/Wlo -yaNvTJpPDKWRKCYoXe7um4kXvsSKKZTbrEffcGM+p0dffxOk0ewCUnuA5bXd -1N1jUWWU54z4Otqvcw2vWNKfTndpTafNyLPcpZ7ByhyVAm09v3DKirw2siLM -OBi7NzFoTFNDkUAgJm5pbENUtyOk/sdF/xnI6VnNmMCwQ96WF+H+t+f+oua5 -UV6xf+qFreTxXh9f/e3T3oi1s1+wfV9ScsJ/N+4+279BKm2ruLg/4JXn3bZk -l9YJKYcXjjRSxSSP9vrMPcrB+5aCQLE+LHhvoqU/bWn0uyC6v3VaYFaLiSNc -zs0IYKlmDzo/GlaxhCEt15MCXnmZte/3ho66/K8mvzja9+BVTvv97Ajnv48P -z7zHRzoLY9duS0w7kbRjfVxRJ+11Pum9iUFjmhGK+AIx3vU1Ux3cgyJjj2ek -/5TfINY8jFnPmMCIBOUV7vhwv+4SXPtJ33zoScMEN3eFfHMX/0weZhWjiDWt -QQC/aPHsnaa/dCuq2ukfVsr4TXxoxZKtY3lj0hM4pI0JDFEknNzElKtPB5Zo -qog1IemDDx1pEk5ectLlFqKtEGYVo4j1rEEEUhsfvPmOGZtqPXeiFsSa8RI5 -MUMnloYAFjYmHYFD35jAEAVD2jv6UswKuaAye8OE5//x74N5lXyzn77pSUPF -rTyEaGHGrGIUsaY1iEDqjizbV23Wp4qi6u9CYmssc4bZUIilIYPFjElP4PAw -JgAAFgTt+GN39OU2MycneVv+9s2/wZ40AAAAYD5Y9/2Mk7e7GLinoF23jp8o -h/pNAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADBiQbvK4j5b6DvR -eeqKw9VCxt4ttpDYEYVVbMhsoxAGgwPYGRh2iBvSj9/howqkITVgQjCVip3W -FDuisIoNmW0UTxomqDp3mUN+OIWEc/lcFXyERRlqdqZyBQBsBUwukqvmAOG9 -Db6rTa2pOlhiRxRWsSGzjeJLkzZlb04oJzw+FOsuT9ic1QSHuFGHqp2pXAEA -20J4/8CnKXWMr6AsJNZMMNlQGotWsSGzjepLE1Z+uyqNjX/3kbLTVn1biVPJ -jlmGVgxQxLidqVwBgEFGXH9mR1iw/6R/Os1cnc7WPoQY667KPFrYbtphbSiv -OG7dtoS04wlb18Xf4Gmdq2OWWI0QUe2pDXNet3thtLPfupOPCQqhI80Fp35+ -0GNsusEQblFqVNCMD4po1bajoRjKv5eTWdyGV4aKBAu5hhQSw5rSKL0uiKu/ -fi+mBq+WlLgm5v2vq3X/x2ZjoB9ZS86yaaH9FbhMiwFzWlRBzc5UrgDAYCJh -nzl0qal3zpC3Xlj2mssnmmILmJidf+6P1t6FE9rDrhXQnAXR9osrPefnPO39 -mbzl7DzP0EvtKANiNYgexG88XNqKSDtuH37f/iXvA7WGJ/vLnv6yaVUqhUU+ -JnnWxL0V5TqOZt1VeoqJqhNDP7/SQb3HFnKNifqb1CjtLvAKFgXg+VJSuz/g -A71tLpuNgf62uedW+9k5aVeHpB0D5rZI3c5UrgDAIIJKheoshqRmz6y5Rxr7 -nuKlTZlh7i7uk3uZ5Om/m27lOnlzuq/jzLQnqjWijJPKcvQ/razeTEOsvDV3 -TeRNgpJ30qdXr7SoR42wfL2L43tFfP2OtV8M9VlHufCt5NG3tGuC01QM6ywI -nRVRzKeaNLKMa0zT38RGaXdBWLFh2ju5bfomQp+dnzttY4VORs9mY0CtXlPO -rsRfY6e76lQuphsD5rVIx85UrhhAOkgBgBpod9WZ6BC/wJ1xW0Pfnerk7BOR -qVUCHOXfTl4Zkkj9ER7hFiSHBcz+NO1o3PawQDev0BNluUf2RC7xcZ29pZDX -VbLEwV4zV3RdD3rVcXkZvQ100jLW2nTfCp/4pn69aoWcezrQY3mJ9rAhtQDt -eYncnriKYZ2/BXsszO8wmHmZdY3F9DdZGvUuSB5/N33qlw/1/1Bc/bnX9Bji -+oc2FwNSTlZ0Sg2/4QeW7r2JMAYs1yIuhnamcsUAyoMUAMjAOi75v+ocqVy0 -yZqzPxpnNyerRfWQL++6m7V3TZD7i6Ocw/Mo1wISVm5ydQg634oqsLbcQDun -8N87UYWMncIaP7+g4UrgGAfN3UhQssR+zJxr9NajFMMe4xWunbulqEt/rHeX -LXOd/n297mxFaAHyeUlcn5OUUmSQiSGRRqCY+OEXXpM3Vxo+dDDsGmrQ198k -abS6IG04xHILM3gPUFC6dML0Qw0Et0mbiwGkMT36WK1YIW00vFMQxgBF6LeI -h6GdqVwxAO5NADOoai4n1qvyIIKSpU7/+kS7lDcmKNvmNjaQ/CFeC1HVdg/n -Far7j6Bk8fiJux/0rrCwZxd8Hd/IeFy8eNzYhf3PTfzrC8ZSfW6Scc9+PC9Q -yZseo8d4+6r+uWB9Mf4cifJuxEQdq8HZBedde9tp5qlmvbmE2AIk85KsOWOe -k0fEXYOy5yT2xFcMqYuf5roCzxCMumbAhlrg2JC2/qQw0gUZ+8cZLh/e0J9b -+UXB41n/Y+O+RmBzMdBRdzL6ZL3yaQbvTkEYA2Z4jbxFPAztTOWKoapUBikA -GEU7qnvufva6p94De8/tT7ze+bXd/HtTOof9k4+DZr/pSdpMR98MLr1Vv/El -GSaqzdx/rAL/W0zBjRAX1g+NeittYguYstdAJI1QMUnNHq+J68txXoRm1jWW -0t8kaf1Q6oK0IZnlariMEZR85MI6ou9NY6paJwYq7se+5T3FW8Ukp1F/fdnN -6+2N5ZqbGnEMWKpFPAztTOWKAfDcBDCDMqqnHPxTGdW9cefnF/NIosDELY1t -iGpoI/U/LvoP9cSR/r1pl9a9qRl5lrvUM1iZ8FOgrecXTlmRR7fit7GwR55c -SEi52VfzFe2qOn+Rq/NGEVIXx5ocqT8F4FmgD8mjb0yalwylkSgmKF3u7puJ -d5Nm1jWW0p+2NNpdQGoPsLy2G7xqIaqM8pwRX6eviM3GgBoZ5+gbbnpPMcQx -YKkW8TC0M5UrBsC9CWCG3qi2s1+wfV9ScsJ/N+4+q9xExXjX10x1cA+KjD2e -kf5TfoOY4loZQ1quJwW88jJr3+8NHXX5X01+cbTvwauc9vvZEc5/Hx+eeY+P -dBbGrt2WmHYiacf6uKJO2mORNOzlbXkR7n977i9qnhvlFfun3sQlebzXx1d/ -exzHAkqkbRUX9we88rzbluzSOiHlmyiONFLFJI/2+sw9ysHLTDHoGurQ1Z+2 -NPpdEN3fOi0wq0XfBXJuRgBLtfjRumarMTAAzp2CJAYs1CIuhnamcsUAuDcB -zKCdDRj+oLzCHR/u1132MWsBetIwwc1dId/cxT8HxiqusaY1COAXLZ69E2ep -Lqra6R9WSvtl5SEVAxZpkQBDO1O5AgAWQhXVhpmR4YuEk5uYcvXpwLqZWQvQ -kSbh5CUnXW4heiHbKq6xnjWIQGrjgzffwdsp6bkTtSCW+CVyYoZODFigRSIM -7UzlCgBYBLmgMnvDhOf/8e+DeZV8S32YbntgSHtH34YHwxagJw0Vt/IQotWy -VVxjTWsQgdQdWbavGn+lLqr+LiS2xqST/IZCDFikRSIM7UzlCgAAwEgE7fhj -d/Rlwrcl5G352zf/RveVGsAAQztTuQIAADASwbrvZ5y83UV260G7bh0/UQ71 -m8zC0M5UrgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIwA0K6yuM8W -+k50nrricLVwkF5atUqjAC426AsbVGm4MmimBp+OLCScy+eqzPsIQtyQfvwO -H1UgDakBE4IH6SxDvEYxQdW5yxzyj+EN+0vlCkAGc76wqEqARTDV+4w0BAxX -sO7yhM1ZTWYeWYXJRXLVBCO8t8F3NWnlR+bAb1TalL05oZzwcEjD/lK5AhiB -IV9YXiXAApjkfeYaAoYlUnbaqm8rTa/bpYfw/oFPU+oYXizRbVRY+e2qNDb+ -jGfYXypXLAImG4aPZeb5YlBUAiwGHe8z2hAw/BDXxLz/dbXY+B8OgPKK49Zt -S0g7nrB1XfwNns7BHVWZRwvbLXiklKwlZ9m0UJ1iK3iNiqu/fi+mBq9Xhv2l -ckVVLfTUhjmv270w2tlv3cnHBJW3keaCUz8/6DF2y8EQblFqVNCMD4poFWXD -l4WrGMq/l5NZ3GZGzRu6Lfb9l5m+GCSVmJSvBSXvUxNFB3H9mR1hwf6T/uk0 -c3U6W3nYtiW9j9NcP/S8bxRrzjOA9ZHU7g/4gFbWFm2/uNJzfs7T3sCQt5yd -5xl6qb0vajAxO//cH629ayS0h10rsETgyLjnVvvZOWkVAiNqlFewKOBAreGh -+Ib9pXJFoRA9iN94uLQVkXbcPvy+/UveeLJlT3/ZtCqVwloOkzxr4t6Kch1H -s2AoHsSKiaoTQz+/0sG4HwhbNN8Xg6YSU/K1oOh9KqJoIWGfOXSpqVeIvPXC -stdcPlGXaLCU9wmao+99Y1hzngFsAPTZ+bnTNlbQyKrIm9N9HWemPVGtyWSc -VJaj/2lltWRpU2aYu4v75F4mefrvtkR9LWlTzq7EX2Onu2ruTcSNCis2THsn -t01/UWrYXypXeht6evVKi3p8CcvXuzi+V8TXF91+MdRnnfHymWokj76lXcwa -BzLFsM6C0FkRxXxmE4dELTLgi8FTyQB5a+6ayJsEzmPQ+xRE0QSVCtWpYUnN -nllzjzSqE2iW8T5Rc7S9bwwG5hlSnwK2jrj6c6/pMbr1xxBuQXJYwOxP047G -bQ8LdPMKPVGWe2RP5BIf19lbCnldJUsc7DUDqut60KuOy8uY25FEu6vORIf4 -Be6M2xr67lQnZ5+ITHUFZSknKzqlht/wA8uVQgFlyePvpk/98qF+LsGwv1Su -6NJ9K3zim/pVqxVy7ulAj+Ul2ooR90Vhwr2JVBq+Yljnb8EeC/M7TJyeTGgR -F8q+GDyVDKBcKZsZ75uiKrlAlH87eWVIolb2zKLeN2yOCALvD8I8A9XPhzSC -0qUTph9q0BsewspNrg5B51tRBdaWG2jnFP57J6qQsVNY4+cXNFwJHOOgiRJB -yRL7MXOumb9rMgDWccn/VedI5YJP1pz90Ti7OVktcgXSmB59rFaskDZSuzdJ -Gw6x3MIMXuMx7C+VKzrq8QrXzt1S1KU/4rvLlrlO/75e91f4fVFBdm8S1+ck -pRQZ5GNIpBEoJn74hdfkzZUmP8PSbxEPyr4YPJUMoDiPMeV9I6rSDQB5192s -vWuC3F8c5Ryep6kgZDHv4zdHAIH3lVh4noF705CGXxQ8nvU/tt6mqahqu4fz -ClVcCEoWj5+4+0Hvqgd7dsHX8Y2Mx8WLx41d2L+e4V9fMJbqekbGPfvxvEA9 -Fqwv1h+dqgLKifWqxIegZKnTvz6501F3MvpkvXLVRvXeJGP/OMPlwxv6f2fY -XypXBkB5N2KijtXgbGDzrr3tNPNUs95AxemLOj9Pcm+SNWfMc/KIuGtQ25lY -GoFiSF38NNcVOO4xwxfkLeJB2ReUFGNEJcPm3vQYPcbbl8gOxuTT9T65qqYE -gEL5PVHZNrexgZr8mSW9j9McAQTeV2LpeYaKTwFbRVDykQtLk6LuhyRm0jns -n3wcNHngJ2kzHX0zuIzuR2qPiJ67n73u+WXF/di3vKd4q5jkNOqvL7t5vb2x -3GDkaiNtSGa5GgazYX+pXFGDiWoz9x+rwP9OVHAjxIX1g/6vDPvSn9wwZb+J -SBqhYpKaPV4T15ebvqVDu0U8KPti8FQywPgam0Hvm6wqcTj10XP7E693fm1X -y7WY9/GbI4DA+0osPM/Ac9OQRlQZ5Tkjvk7vLRr9mNmlFTPNyLPcpZ7Bygdx -Bdp6fuGUFXkM13xWjogpB/9U6tQb135+MY+00vQyztE33Cg8NyG1B1he2w12 -Sg37S+VKn8QnFxJSbvYVtkS7qs5f5Or8BVIXx5ocqT8REPdF8ugbk+5NhtJI -FBOULnf3zTRj6UC7RTwo+2LwVDLA2DzGoPfNUBVPICZuaWxDVPcHpP7HRf8Z -SLJZxPvEzRFA4H0lFp5n4N40pJFzMwJYqpDQgCEt15MCXnmZte/3ho66/K8m -vzja9+BVTvv97Ajnv48Pz7zHRzoLY9duS0w7kbRjfVxRJ9MvcfaOCDv7Bdv3 -JSUn/Hfj7rO6G8hU702i+1unBWa16EezYX+pXOm91pYX4f635/6i5rlRXrF/ -6s0oksd7fXz1d7YJ+iJtq7i4P+CV5922ZJfWCSkPORxppIpJHu31mXuUY8Zn -LnRbxIWyLwZPJQNI5zEGvW+eqjgCMd71NVMd3IMiY49npP+U3yDWPMVYxPvE -zRFB4P1BmGfg3jS0EVXt9A8rtan3LLUzCSbDL1o8eyfOYs2wv1SuUALlFe74 -cL9um4z0xURpmODmrpBv7pp1Yswg+2LQVGIey3ufnkCb9z4AGKHnTtSCWHov -8loY1Yign+vRAamND958B29HyrC/VK5QRMLJTUy5+nRg9cxEXwagI03CyUtO -utxi5mkxg+2LQVLJMljY+3QEDgXvA4ARRNXfhcTW2MrNSS6ozN4w4fl//Ptg -XiXf5GwhUndk2b5q/LWaYX+pXKEMhrR39KXjGepLP/SkoeJWHmLmi0nW8MWg -qGQ5LOZ9egKHhvcBwAjytvztm39j+IUGa4J2/LE7+jLhHq1hf6lcAUyCti+A -YYQR7wOAMdCuW8dPlA+TWkVY9/2Mk7e7yKY7w/5SuQLQxiRfAMMECt4HAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAQQLvK4j5b6DvReeqKw9VC -eHvbgoCpmQIsCQw9JJzL56rgAxnKiBvSj9/howqkITVgQnDfWZiYoOrcZQ75 -AQ1gZ9rgmRowBbAkMNTAussTNmc1mXlw2IgCk4vkqjuM8N4G39X9BUmlTdmb -E8oJjwYFO5sCvqkB+oAlgSGGlJ226ttK06unUQSTDcPHBeH9A5+m1A08Kwkr -v12Vxsa/+wySnY0yRB2hb2rbYCga0zYtCQD6iGti3v+6WrcCECaqPbVhzut2 -L4x29lt38jFBgW6kueDUzw96jA1ODOEWpUYFzfigiFYRQHxZuIqh/Hs5mcVt -ZlTZodti3391V2UeLWzXOelMXP31ezE1ePWU8OxsTutaDBdHoLziuHXbEtKO -J2xdF3+Dp3VQD56pGdJZHysYUyGuP7MjLNh/0j+dZq5OZyvPLLdtSwLAICCp -3R/wgV7uWfQgfuPh0lZE2nH78Pv2L3kfqDU84l/29JdNq1IprL4wybMm7q0o -13E0C9TiQayYqDox9PMrHYwPOcIWMTE7/9wfrb2PSGgPu1agaZhXsCgAz154 -dja9dS2GjSPQ9osrPefnPO39qbzl7DzP0EvtfXMqkakZ03kAqxhTwj5z6FJT -rzLy1gvLXnP5RF0Nw3YtCQCDAPrs/NxpGyt0Mk3Sp1evtKjHrbB8vYvje0V8 -/Z+1Xwz1WWe8dK4ayaNvaRdPx4FMMayzIHRWRDGf2RQLUYvSpswwdxf3yb1M -8vTfrVX2TVixYdo7uW36auDZ2eTWteUOG0fIm9N9HWemPVE9Ksg4qSxH/9PK -WujEpjYU0Zq7JvImgS1s1pgKVCpUZwYlNXtmzT3SqM4J26olAWAwEFd/7jU9 -hrg2Xfet8Ilv6tfJVsi5pwM9lpdoxy7aXXUmOsQvcGfc1tB3pzo5+0RkDlSC -pz2KSaXhK4Z1/hbssTC/w8Sbkwkt4iJ5/N30qV8+1M/dGbOzUYaBIxBuQXJY -wOxP047GbQ8LdPMKPVGWe2RP5BIf19lbCnldJUsc7DX3i67rQa86Li+jt19P -uYC4TRoT5d9OXhmSqJUQHgKWBABLIShdOmH6oQaCCRfjFa6du6WoS39wdJct -c53+fb3ur7COS/6vOkcq13my5uyPxtnNyWpRZw3IRrG4PicppcggdUEijUAx -8cMvvCZvrjS5Bhv9FvGQNhxiuYUZvARFbmfjug0PRwgrN7k6BJ1vRRVYW26g -nVP4752oQsZOYY2fX9BwJXCMg2YOFZQssR8z5xq9ZxKKM6otGlPedTdr75og -9xdHOYfnaYo12bolAcBy8IuCx7P+x8bdc0V5N2KijtXg7Bnzrr3tNPNUs97I -U5WfTqxX5U0EJUud/tWfOScbxbLmjHlOHhF3DSpOE0sjUAypi5/mugJngSjj -nv14XqAeC9YX609OtFvEQ8b+cYbLhzf00yG4dqaq2HBxhEJUtd3Due9/BCWL -x0/c/aD3IQF7dsHX8Y2Mx8WLx41d2L/a519fMJbqan/AjG96jB7j7UtkRjKd -lVjZmArlJ3Jl29zGBmpSwrZtSQCwJIKSj1xYmgy3FpioNnP/sQr870QFN0Jc -WD/o/0p73PXc/ex1T01qy5TMPJE0QsUkNXu8Jq4vN/0lbdot4iFtSGa5Gk4F -hHY2ynByBMmMms5h/+TjoNkleZI209E3g0tvt974at9mjdlPz+1PvN75tV2t -nw1bEgAsjKgyynNGfJ3+G0vIkwsJKTf7ym2iXVXnL3J1/gKpi2NNjtQfM8px -N+Xgn8q/7J2h/fxiHvUn0yWPvjFpFBtKI1FMULrc3TeT5iA0q0U8kNoDLK/t -BvvMBHY2yvByhP6MuktrRm1GnuUu9QxWpqkUaOv5hVNW5NGtM29sRrVRY2Li -lsY2RHU7Qup/XPSfgZyezVoSACyOnJsRwFIFtta1trwI97899xc1z43yiv1T -b1KVPN7r46u/mdw77uzsF2zfl5Sc8N+Nu8/2b/NK2you7g945Xm3LdmldULK -gwRHGqlikkd7feYe5ZjxkRPdFnER3d86LTCrRb+beHY2yvByBIa0XE8KeOVl -1r7fGzrq8r+a/OJo34NXOe33syOc/z4+PPMeH+ksjF27LTHtRNKO9XFFnbRX -GaQzqs0aE+NdXzPVwT0oMvZ4RvpP+Q1izUOdjVoSAAYFUdVO/7BS2m+LorzC -HR/u13080M5XmA89aZjg5q6Qb+4SnhfEfIsE8IsWz96J83quiXY2ynB0hNWw -KWMOaUsCgPn03IlaEGvKy80STm5iytWnA6tM1bgzIW+FDx1pEk5ectLlFjNP -qmNCf6Q2PnjzHYMtcIUZdjbKsHOENbEVYw59SwKAuYiqvwuJrTFp0sSQ9o6+ -RLlCLqjM3jDh+X/8+2BeJd/sD87pSUPFrTzEzOUlM/ojdUeW7avGf43dDDsb -ZRg5wvrYgjGHhyUBwDzkbfnbN/9Gd7sUMADt+GN39OU2olkH7AwAAEAHtOvW -8RPlUFfILLDu+xknb3eR3XrAzgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAANqgXWVxny30neg8dcXhaiFjL1tbSKxVGrVKX4YTYEDzARsCIwxx -Q/rxO3xUgTSkBkwIZuywSQuJtUqjVunLcAIMaD54NsQEVecuc7TPPTG8AgBD -FUwukqsWYcJ7G3xXG1SPtTGxVmnUKn0ZToABzQffhtKm7M0J5dqH0xpeAYCh -jfD+gU9T6hhfcVlIrFUatUpfjILJhsw8BAY0H30bCiu/XZWmU2TE8AoA2DaY -qPbUhjmv270w2tlv3cnH2iWyse6qzKOF7aYdrYnyiuPWbUtIO56wdV38DZ7W -CUJmiSVHXH9mR1iw/6R/Os1cnc7WPmTalvtC4gItkOaCUz8/6DE2Y2IItyg1 -KmjGB0W0au3hY2hPlH8vJ7O4jV51LkvFGAX5WljBgPiKmWRDmrEtrv76vZga -MekVALBlRA/iNx4ubUWkHbcPv2//kveBWnXUY2J2/rk/WnsXWmgPu1ZAc/JA -2y+u9Jyf87T3Z/KWs/M8Qy+1owyIJUfCPnPoUlOv/vLWC8tec/lEUyLDtvtC -6AItZE9/2bQqlcLDBSZ51sS9FeU6jmYdWDwI7CmqTgz9/EoH9e5aKMaMy9fC -KgYkVoy2DWnHNq9gUYCuIQyvAIDtIn169UqLOlyF5etdHN8r4quuN2WGubu4 -T+5lkqf/bpwafaTIm9N9HWemPVEtDWWcVJaj/2llRWszxRoBlQrViRhJzZ5Z -c4809mUwbLwvRC7Q7lj7xVCfdWVUCyJKHn1Lu0Y5HgT2VGCdBaGzIor5FJNe -DMSYvDV3TeRNgv7brAHJFKNpQ/qxLazYMO2d3DYt+YZXAMAWQLurzkSH+AXu -jNsa+u5UJ2efiMxG3VVk963wiW/qV8ImAuEWJIcFzP407Wjc9rBAN6/QE2W5 -R/ZELvFxnb2lkNdVssTBXjMSu64Hveq4vIy5zW7yvqD828krQxKppy+s2hcd -8F0g554O9Fheoj2zklqA9tRK155Y52/BHgvzO/SnOYZjbADKpclt0oC4iplm -Q+qxLXn83fSpXz4Uk10BANsA67jk/6pzpHKtJmvO/mic3ZysloGkAsYrXDt3 -S1EX5WWVsHKTq0PQ+VZUgbXlBto5hf/eiSpk7BTW+PkFDVcCxzhoZnBByRL7 -MXOuMbD/Ybwv8q67WXvXBLm/OMo5PI+wgpNN9WWgUwQu6C5b5jr9+3rdCff/ -s3fmYU2cW8Bv/7pPbXtvraUuXK4FQVARl2hLDcuttlcqVltqP5eC32Nr66WK -Flyrtrd1KSqyVay9uKAVqKL28cpXFGu1RRBwRQQLIiDIIgKGBLJMkpl8JAQI -ycxk3smETML5/eUzkvOe95zz7jPvofEmXdcqrzqZmJxrspmEaE/5n1/6jIsq -Nl3pcBxj3TAcm/hoQErF0G2IFNvK6j0CjzDDtx9NnwAAT9DloU6o0u0ySPLn -u7zSu2uNi65ERx4sozhFJkVWss7LdZGuz5bkzxs5ZvPdzhkZ8fiM0PnVtHt5 -84YPnd291hBfnjWU6VpD1XDio5mBRsxakWfc39DURaP9oKNwrcfQQMYbGLat -SxfULhD9/obL1KP1Rp0RtQVoulZVfdpMF6/wmybJ6tHsiVXGTXJfRGYFTmOs -14Cvew0eMkFopwYkV4yVDTWMY1tV88MUt/euSOieAABPMIz5jpufjvbWL/AJ -WUX6zoO3EVPt0fTnqbU1P/qO6DmjeZgy1VmY1sDpew9Udemm4/rHPm/90mL5 -2NQPddGYcYHkSoib4PsHRhtV1BZgc1yCZk9F2RafMSuKpMzlsIuxbsyvm3hr -QErF0G3YDaPYVlYnCdz7TKJMnwAAT9DG/Pjd97Ux3xmnfn7R5dqNbOzhmfjk -q11pYvG2ktNnG5i9ymPcn28y6M/rsceZ872DtZtkGrzp9Ozxi7I4ToFOVhdC -3vigGdM1Wazqh7n/Zr6nZ9u6mHMBVhkrGBdh3IuRe1OLonwrq66VuT0lBQs9 -helkIzS3MdaNubGJpwakVQzNhsixjVXsEvisM3zBxPQJAPCEzph3GjZr3Y7E -pPivV20+oT1iVTdnhXs+8/RTep4e5BNzn0m3QWCNlxMDXnxBsOO36tbK7P+M -e36wcPel2pY7GeGufx25JP2WGHuSE/PZ2oSUw4nrV8TmPuF6oUFSF0J0ednE -EZ5BETGH0lJ/zK6WM5yj27guDFyguLfdV2h8wk9iAS3K5ttndwa8+KzH6oyC -SinjQRTJnory7b4zDtSSfaDDYYwZQDs28daAtIqh2RA9tmV31kwKPN6I0z0B -AJ5guFdg7zhSXcyDi3LWv7ez75SXWwsgSCMkVzeFbL1JfgEOT/3CKwNq+sOG -4tx50zb0qbDpEwDgCbqYj6vkW7/BCkeqCyMUtZkJyZce9U79ubUAY2mK2qyk -xPONVG+B89cvfDGgpl9siFXEBUcZvkJB8gQAeIFaUpyxctSzL725O6tYbI37 -gvoRR6oLAgTW0tp15MCxBRCk4fImEUa1ocR3v/DBgJp+sSFWuW/BjlIZ7RMA -AAAA6D/w1j82bzxv+LaE6RMAAAAA6D+I9jtpR6634XRPAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAADsBbyuM/XS2cIzrxEV7S6WQv9KKgKn5A/gC -ADhAUXv+VAnLTABmkFenHrohxjVY9f6AUcFMsoACLCEzNSEpOXW+VmHup0yw -YpA4Hlb2BQAMBIj2ovio43WoGaeZSlfL1Lr+THprpXAp5K+0IuSmVtZlRMUX -kd/PiSDbqkHieFjTFwAwMFDWpCzeVkySLIxbpHd2fZJcCZPGfsDY1NLibYtT -aiwaVvopSAiVo3XbVvAFAAwM5GXRc74plZv/Qwaiqo6tDwv2H/t3l6lLU2sM -LyQm2kvSD+S0WHYxFiGrOLpy+min5wa7+i0/co8iSzZWf/Hoz3c7zPRx1Kpa -gKrx5IJJoYX69NG4+NbJ9LxmslQ3nNG3RB1kppaXfvNOdJkFPiYLEi7doSGw -htz9kUFT3s1FSo1Hoa2Jc63qC7Swt9gXADAwUFTsDHiXk1MgRc2xPefqOpum -uunMgn+4fdxzsT0hr8k+9UdT51wR76ipkLAdoGR341btLWjClK3X984Z9rcJ -uypMhxTVo/99vni/2dUZpaqWoGo4tdTPyWWBwUghK00I/eJCq7XuqjQtkcrU -ootzA8jsxRCyIOHQHZ16Kx7XNVyLdB+OmLaVVFly51rLF8hhb6EvAGBggD8+ -PWPSqttcbNbgSql+R0ZRtuW1GfsedG1cKOvSwzzdPMd1MtbbfzNdljB1U+ay -iKsS8v9UPrp0oVHfoqVFK9yc38kVG2vQcjbUd3khhQDzqlqCsu7kpoRfYia7 -G45NGuLJxdDXwvPE1tipMi2R2tTS2ysnvZXZzFINsiDh0h1dKMq3IacUJ9WW -wrlW8gVy2FvmCwAYIMhLv/CZHH0P6RgIby85tjHEL3BD7JrQf010cfUNT3/Q -KwAXX0/6MCSBza4FbQ5rQ9qvLRnzunGyao264adAr4X5hn0ht6pSS1PWHt+Y -XCau/l7Qd2zq7BB/Dfaand3KdlRAL5EUxb1vJ0/86k+WO0nmgoQbdyCPTajO -tZovyIujwjJfAMAAQVIwf9TkPdWI6wai9Zz/y64R2jmoqj7j/eFO04836vYs -1G03j29fFuT5/CDXJVnIeVcYjk2EKOezGatz24z7mPbCBe6Tv6vqWxeWqsqr -TiYm55rsAJFLwx6kbjxYIdcoH5iOFPI/v/QZF1XMOjsaeolkKKv3CDzC2L4k -SR8k3LiDfmxCcoeGyrnW8QVlcRRY5gsAGCCIc4NHCv5b0/eQWNVw4qOZgUbM -WpHX2/3o8i8nVOn2dCT5811e6XNkQ0gK13oMDWS6b9Fb3Oteg4dMEJoWZwgu -uhIdebCM5Ohd9PsbLlOP1ht1DaxUVdWnzXTxCr9pcg5FIq218sjGI1XaGTTZ -SIFVxk1yX1Ro2hOZNzLLEslQ1fwwxe29KyR/x0QN0iDRw507aMYmFHfQONca -vkAPe2pfAADQgyT/fTcB+nmLYSPtuPnpaG+jPYqO6x/7vPVLC+Luifl1EyGr -SN958Db5B6CSKyFugu+N68KtqqbSbt+J+eeE8RN0jHUZ9JcXPHzeWFXU02Up -yrb4jFlRxP5AD7lEMpTVSQL3hSS9MiMog4RTd7A5b0JzrhV8wSKWLPMFAAwQ -ZMWR3lPiKlHfGtI20vG772t/1tnU/PyiyxUaQt74oBnTtUus6oe5/+Z+Tw97 -eCY++WpXIky8reT02YY+emOVsYJxEcZdD7eqkknrQVV74FUPo1WMpGChpzC9 -gf3rYcglkoFV7BL4rKN7D4UOiiDhzB1dKMq3shqbmDvXKr5AjiXLfAEAAwR1 -Q1qAYNNd1IPZzkbqNGzWuh2JSfFfr9p8QnsmTIguL5s4wjMoIuZQWuqP2dVy -9CNn2rFJ3ZwV7vnM00/peXqQT8x9o95ScW+7r9D4TJ5bVUmk9UIyUijKt/vO -OFBrwYc1qCWSIruzZlLg8UaW6a3JgoRDd2hRNt8+uzPgxWc9VmcUVEoZ64nk -XKv4Aj2WLPMFAAwUZCUb/MMKUDe/DTc3eAQuyln/3s6+U1JuVUWTRkiubgrZ -etOiO2o40V+cO2/aBvZTdXZBwi93OIovAGCg0HEjclYM2kvk+kaKvhXYDyhq -MxOSLz3qnaxzqyqKNEVtVlLi+UYLv53iQn+sIi44ypIPjFkFiRa+uMOBfAEA -AwVZ6bchMWUI/Y5aUpyxctSzL725O6tYbK07DyyAwFpauw4AOFYVTRoubxJh -Fn5hyY3+WOW+BTtKLZqpIwdJL3xwh0P5AgAGCurm7HVRvzbDBrhjgrf+sXnj -eeQXU4yAIOECbnwBAAMGvO3aocNFkJrHASHa76Qdud7GwZgCQWIp3PkCAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+gLcVxn46WzjGdeKivaVS -eNmaPTaxpJUKhboAAHsUtedPlfT5dMX0CWAGeXXqoRtiXINV7w8YFcwkfy9A -jk0saaVCoS4AwBaivSg+6nidku4JYB5CLVPrBnPprZXCpZDYlD02saSVCoW6 -AABLlDUpi7cVS2mf2AZCZZfrNumdXZ8kV7K6e86K2KMxbWJJKxUKdQEANORl -0XO+KZXTPmEAIas4unL6aKfnBrv6LT9yjyRHtxas/uLRn+92mOslCawhd39k -0JR3c5EyzSEohotvnUzPa2abywcX5cUuXxufcih+zfK4KyKDW2iI9pL0Azkt -lt2YxltjauRVx9aHBfuP/bvL1KWpNdoLufltSVJozGtRobaoC4lHOCnUJnUB -AAMUFTsD3u2zc2z6hAGyu3Gr9hY0YcrW63vnDPvbhF0VpokEVI/+9/ni/Qym -W4TicV3DtUj34YhZUNEUk5UmhH5xoZVFG8Nbzn7o/fbJR50/VTeemOkdeq6l -q+0S8prsU380KTv/pKOmQsK2+fLWmIqaY3vO1XUqo246s+Afbh/rUz3w15Kk -UJrXskJtUhcKj9hlXQDAEPzx6RmTVt2W0j1hgPLRpQuN+hYuLVrh5vxOrti4 -pJazob7Lzado1aMo34acoRtRMeLJxdDXwvPEqHtd6vpUofPUlIe6pYKqdr/A -2f8nbaJvZV16mKeb57hOxnr7b6ZLH6duylwWcZXCFrw1pgZXSvU7g4qyLa/N -2PdAfyLJV0uSQmVehEKtVBcWUHjELusCAIbIS7/wmRxtmDXO9Aki7deWjHnd -OBW3Rt3wU6DXwnzDTgRvLzm2McQvcEPsmtB/TXRx9Q1P7804jtyd0kojV4x4 -8muw1+zsVpMuFWu4mBQWMO2TlAOx68ICPXxCDxdm7tsS8YGv+7TVOaK2/A9G -DOsZL9ouB73svLAQ7VyYNvs8rc5dP7etMXHx9aQPQxLKerd9+WlJFiFBh9Xr -QgeqR/hcFwBggKRg/qjJe6qVdE+QIEQ5n81Yndtm3Eu1Fy5wn/xdVV+xROs5 -/5ddI7QTblV9xvvDnaYfb9RvE9B1p/Kqk4nJuSZ7SDTSKBST//mlz7ioYpLp -n7T4c/cRQaebcA3RnBno5LLktye4RlWTLBj59sXqC4FDRvS0VUn+B8OGTP8d -bU3CcGziozHVbTePb18W5Pn8INclWT2ZiHhqSfSQoMXKdaEH0SO8rgsAmEWc -GzxS8N8aFd2TTlQNJz6aGWjErBV5xs0aF12JjjxYRnJ4L/r9DZepR+uNWo4u -yXVClW6HRZI/3+WVng1zmu5UVZ8208Ur/KZJXmtqaRSKYZVxk9wXkc0IZSXr -vFy7/keSP2/kmM13O6ekxOMzQudX0+7lzRs+dHb3rFJ8edZQprPKXjO+7jV4 -yAQhlRnpdNZiY2N2QkgK13oMDcxs1ivHV0sihwQt1q4LfeNC8wi/6wIA5pDk -v+8m6Dk3IH/CFEJWkb7z4G3yD3YlV0LcBN8bizVsbh03Px3t/dWf+m0JNkck -VNIoFVOUbfEZs6KI5GyNpuWm1tb86DuiZzf+YcpUZ2FaA9qpsPl1E2+N2U3H -9Y993vqlRa8fXy2JHBK0WLkuZkDzCL/rAgDmkBVHek+Jq8TonjADe3gmPvlq -V1JPvK3k9NmGPiKwyljBuAjjzkvb3Mbvvq/9S2V1kp9fdHn3HrqifCur7tRU -Go1ikoKFnsJ0slZn3HI3GbTceuxx5nzvYO12iAZvOj17/KIs1Fzl5sYmnhqT -kDc+aMZ0nR9W9cPcf/fuIPHVksghQYuV62IGNI/wuy4AYA51Q1qAQBeW1E+Y -iGnOCvd85umn9Dw9yCfmvlFzV9zb7is0PnbubG5Ow2at25GYFP/1qs0nuk93 -lc23z+4MePFZj9UZBZVSxq2CRBqtYory7b4zDtSafJpDYI2XEwNefEGw47fq -1srs/4x7frBw96XaljsZ4a5/Hbkk/ZYYe5IT89nahJTDietXxOY+QZ5S0vao -vDUmIbq8bOIIz6CImENpqT9mV8t7pug8tSR6SNBg/bqYAckjPK8LAJhFVrLB -P6xAQvuEG3BRzvr3dvZ979Rwm8Jy0KQRkqubQrbebLfLnXBeGZPHluTWJrbF -keoCAObpuBE5K6bPK+OmT7hCUZuZkHzpUe90X9fcWGwgkoMiTVGblZR4vtGO -rwzkizF5bUlubWJbHKkuAMAAWem3ITFlCton3EFgLa1d++MataQ4Y+WoZ196 -c3dWsdjiTQM0abi8SYTxcJ6PBh+MyWNLcmsT2+JIdQEAhqibs9dF/Wp42Gn6 -BAAAAAD6F7zt2qHDRYYv1Jo+AQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAADASuBthbGfzhaOcZ24aG+pFN7mZwMPbchDlRwYsDYAcI28OvXQ -DTGuwar3B4wKZpIjFzCGzIaEpOTU+Vr6S08UtedPlVjn4z5wa3/CNgAAAKCE -UMvUut5RemulcOlVyIjNAnIbKusyouKLKG+mJdqL4qOO11npfkBwa3/CKgAA -wIYQKrsJTOmdXZ8kV/JtmmdHBtSY2lBavG1xSg356KOsSVm8rZgkSaJ1VQKs -CUoAAABTCFnF0ZXTRzs9N9jVb/mRexQ5tLH6i0d/vtthrscksIbc/ZFBU97N -RUq0R4686tj6sGD/sX93mbo0tUZ7PzQuvnUyPa/ZJI8RvU7UFSTaS9IP5LRY -drcnbw1IrhgrG5L4oqcUEhvKS795J7qMLEeZvCx6zjelaNnLyLEjtzITxQJV -48kFk0IL9Ql32HnWkhJ1oAUAADBFdjdu1d6CJkzZen3vnGF/m7CrwjRJgOrR -/z5fvJ/BLJRQPK5ruBbpPhwxCSwZippje87VdSqjbjqz4B9uH9/o6NK3NCH0 -iwutzPsdygoS8prsU380dc7u8I6aCgnbnoy3BqRWDNmGFL6gtqHo4twAMkMo -KnYGvMvJKZAduZWJKDaoGk4t9XNyWWAwUiB71tISUQMAAJiifHTpQqM+hKRF -K9yc38kVG/0J3nI21Hd5IdNsiIrybcgJysnAlVL9xpaibMtrM/Y90G8REE8u -hr4WnidmOPmkqqCyLj3M081zXCdjvf03900j2Bd1U+ayiKsU9eetAekUQ7Qh -lS+obSi9vXLSW5nNxvLxx6dnTFp1m4MdPTtyKwNRbFDWndyU8EvMZHfDsQnZ -s5aViBwAAMCK9mtLxrxunIlco274KdBrYb5hE8TbS45tDPEL3BC7JvRfE11c -fcPTH/RMHpG7VlppGlx8PenDkASD/QHiya/BXrOzW006Plo51BU0i5m85Obk -29iApIqxs6GpL6hQ3Pt28sSv/jT+Q3npFz6To9HyajqKW9moSi1QWXt8Y3KZ -uPp7Qd+xidKz1iuRFIoAAAAWEKKcz2aszm0zDur2wgXuk7+r6tuciNZz/i+7 -RmjnZ6r6jPeHO00/3qhfz9N1rfKqk4nJuSZbDpTS1G03j29fFuT5/CDXJVnN -3T+T//mlz7ioYtMpMY1WNBU0C8NOjI8GpFQM3YbkvqBAWb1H4BFm8pqcpGD+ -qMl7qhFHEcdwqxlVkTyLPUjdeLBCrlE+MB0pKD3LEPQSyaAIAABABhddiY48 -WEZyTCv6/Q2XqUfrjRqNLoF1QpVuq0KSP9/llZ4zCJquVVWfNtPFK/xmh/F/ -UEvTQkgK13oMDezZIcAq4ya5LyokiXsaOdQVpELVcOKjmYFaXvcaPGSCUPfP -WSvyyHtB3hqQXDFWNtSY+oICVc0PU9zeu2LchYlzg0cK/lvT97S+184G9LGz -Q7iVXlUUz7ZWHtl4pEq7miEbKSg9a97OLEskrQ95ACCoAQAa3XtE6TsP3ib/ -GlJyJcRN8P0Do7muYQB33Px0tHfP+p3NcQm1tC46rn/s89YvLXr9FGVbfMas -KCI5taCSQ1tBs5ifYPPWgJSKoduwm76+oEBZnSRwX2jSQUry33cT7DM2hVkc -wK2sVTUVePtOzD8njJ+gY6zLoL+84OHzxqqinkGN2rPWKpEMigAAABSwh2fi -k6+26TLE420lp8829Hm9BquMFYyLMI51bQCP331f+5edYejnF13evbGuKN/K -qms1lkbIGx80Y7q2jFX9MPffvftIkoKFnsL0BpJtJXKtzFTQLOY6MZ4akFYx -NBtS+4ICrGKXwGedyZsIsuJI7ylxlaivb9m9Wy1QlTpOOlHVHnjVw2gVQ+1Z -a5VIBkUAAABj1M1Z4Z7PPP2UnqcH+cTcN2o3invbfYXG57edAew0bNa6HYlJ -8V+v2nyi+8hX2Xz77M6AF5/1WJ1RUCnFmWpBIo0QXV42cYRnUETMobTUH7Or -5T0zTkX5dt8ZB2rJPuMgkcOgguag7cR4a0BaxdBsSO0LKmR31kwKPN5orL+6 -IS1AsOku6gm5fbvVMlUp4qQLkpGCxrNWKpEUigAAAE7BRTnr39vZdw5kuPC3 -HARphOTqppCtN8lvROFWK87glQE1/WFDce68aRtIZs2ykg3+YQVM36bnVCXu -sb5bkQXSetYqJVJAFQAAwDGK2syE5EuPeueIugBG352hgLE0RW1WUuL5RqoD -C2614hK+GFDTLzbEKuKCo26QHUh03IicFYP2EvkAdiuiQDOetUKJVFAHAABw -DoG1tHYdOWjUkuKMlaOefenN3VnFYou/QUeQhsubRBjVnJBbrbiHDwbU9IsN -scp9C3aUkk+aZaXfhsSUIQxOA9atyAJpPWuVEqmgCwAAAACbgLf+sXnjecq3 -JdTN2euifm2GkwiHxUwAAAAA9D9E+520I9fb6IYevO3aocNF1snfBNgaBgEA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA2Ba8rTD209nCMa4TF+0t -lcJ7vVYETN1vgKk5BIwJUKKoPX+qxDrfg8irUw/dEOMarHp/wKhgJllAAZaQ -mZqQlJw6X0t/S4IVve+oQFRzCBgToIBoL4qPOl5n4SVZlNLVMrWu25PeWilc -CnkqrQi5qZV1GVHxRZSXc1rX+44KRDWHgDEBcpQ1KYu3FbPPFMYQ6Z1dnyRX -It7BCbDB2NTS4m2LU2rIR59+8r5ZCJVdrtv4GdVgTMARkJdFz/mmFDXhDRmE -rOLoyumjnZ4b7Oq3/Mg9w9TQRHtJ+oGcFssuwKKRbwBWf/Hoz3c76BsnM1Eo -yKuOrQ8L9h/7d5epS1NrtFcs4+JbJ9Pzmi3Ic4NUXDdkppaXfvNOdBmZj1l5 -n0NHaG8ybcjdHxk05d1cpFyHCIpZ6AhclBe7fG18yqH4NcvjrogMrsrhW1Rz -a8xuVI0nF0wK7U6oxG9jAo6EomJnwLucbPHK7sat2lvQhClbr++dM+xvE3ZV -6LtMQl6TfeqPps55O95RUyFhG32U8g1QPfrf54v3m516MRGFhKLm2J5zdZ1C -1E1nFvzD7WP95f2y0oTQLy60ct7eKIqjNrXo4twAskqy8j6HjujUWPG4ruFa -pPtwxDy8aIqxdwTecvZD77dPPur8qbrxxEzv0HMtXR0q/6KaW2N2l91waqmf -k4thsj/+GhNwJPDHp2dMWnWbgz0d5aNLFxr17UpatMLN+Z1cse55XXqYp5vn -uE7GevtvpssGpm7KXBZxlSIvHJV8AzpDP9R3ufmUmQxEIYIrpfptFEXZltdm -7Hug30AjnlwMfS08T8zxFgtFcdSmlt5eOemtzGZjNVh5n0NH6FGUb0POEY+o -GFtHqOtThc5TUx7q1gmq2v0CZ/+ftNnIeRjVejgypl69upObEn6JmezeJxEt -X40JOBTy0i98JkejpWLD20uObQzxC9wQuyb0XxNdXH3D0/umVda0X1sy5nXj -ZNLmoc1hbV6+uuGnQK+F+YaBy7mq9AJx8fWkD0MSDHbPiCe/BnvNzm5lOTih -FkeF4t63kyd+9afxH7Lxfh+4cQRyd8rCrZSOwBouJoUFTPsk5UDsurBAD5/Q -w4WZ+7ZEfODrPm11jqgt/4MRw3rGi7bLQS87LyxEO6zv56jm0JjK2uMbk8vE -1d8L+o5N9mBMwO6RFMwfNXlPNeIoQrSe83/ZNUI7c1LVZ7w/3Gn68cbedTgh -yvlsxurcNuT+mGHgUclvL1zgPvm7qr51Ya+qvOpkYnKuydYFpUB1283j25cF -eT4/yHVJVk9uGfmfX/qMiypmnQUNsTgKlNV7BB5hJm9AsfN+r24cOYKuO0X1 -AqVi1I6QFn/uPiLodBOuIZozA51clvz2BNeoapIFI9++WH0hcMiIng5Ukv/B -sCHTf0dbk/RzVHNmTOxB6saDFXKN8oHJ2MR7YwIOgDg3eKTgvzV9jzZVDSc+ -mhloxKwVeb3tRpdVOaFKtxkhyZ/v8krvkQcuuhIdebAM4fWC3uJe9xo8ZILQ -tDhDqOWLfn/DZerReqOWx1ZVVX3aTBev8JsmaZ9pBGq03xMVrvUYGtizf4ZV -xk1yX0QyOzRvZDbFUaCq+WGK23tXjPdCWHq/C+4cQdOdsvECuWKUjtDIStZ5 -uXb9jyR/3sgxm+92ri+Jx2eEzq+m3cubN3zo7O6pvvjyrKFMp/q2imqOjNla -eWTjkSrt+olsbOK3MQGHQJL/vpug53iEMYbB3HHz09He+v0iQlaRvvPgbZbf -cZqfFNHKl1wJcRN8b1wXzlWlEthNx/WPfd76pUUvV1G2xWfMiiL2B3poxVGg -rE4SuJv2Ayy9r+HUEeyOSJDdSu0Imu40tbbmR98RPUckD1OmOgvTGtCO6vs1 -qrky5u07Mf+cMH6CjrEug/7ygofPG6uKegY1HhsTcBRkxZHeU+IqUV9T0wbz -+N33tT/r7Pb8/KLLtTMs7OGZ+OSrXQkp8baS02cb0OSaCzwz8rHKWMG4COMG -w7mqZAIJeeODZkzXt2BVP8z9d+8mm6RgoacwHbEFsi+OAqxil8BnnckhM0vv -c+kILYryray6UyS3UjvCuDvdZNCd1mOPM+d7B2v3qDR40+nZ4xdloSZ778eo -1sKdMfWoag+86mG0buKtMQHHQd2QFiDQxQ8SncHsNGzWuh2JSfFfr9p8Qnt2 -qm7OCvd85umn9Dw9yCfmPmKnRxt4DOQr7m33FRofJnOuKolAQnR52cQRnkER -MYfSUn/Mrpb3zIAV5dt9ZxyoteAjJ6TiqJDdWTMp8HijcUfAyvscOkKLsvn2 -2Z0BLz7rsTqjoFLKuKtCdSuVIwis8XJiwIsvCHb8Vt1amf2fcc8PFu6+VNty -JyPc9a8jl6TfEmNPcmI+W5uQcjhx/YrY3CfIs4z+imot3BmzF5KxiafGBBwL -WckG/7AC1JcyDTcBeAQuyln/3s6+ywPOVUUQSEiubgrZepPyviCOi6NGnDtv -2gaSd3PZed881ncEmjQuHGEzwJjAwKTjRuSsGNTXiHXBzGIzyPooajMTki89 -6p1lcq4qY4GK2qykxPONFt5Ux4X+WEVccNQNkyNwDUvvM8LKjkCRxo0jbAkY -ExiIyEq/DYkpQ+ie1JLijJWjnn3pzd1ZxWIefsJNYC2tXYcx3KuKIBCXN4kw -C+eW3OiPVe5bsKOU/DV2ZO8jYDVHoEnjwhG2B4wJDDzUzdnron5FPZUE7AS8 -9Y/NG89Tvi0B3gcAgK/gbdcOHS6CDD4OCNF+J+3I9Ta6oQe8DwAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAACArcDbCmM/nS0c4zpx0d5SKWevNVtJ -rE0KtUldHAywoeWADYGBhLw69dANMa7BqvcHjArm7E5HK4m1SaE2qYuDATa0 -HDIbEpKSU+drDS8ZMX0CAHYJoZapdTMw6a2VwqUmeVp5JtYmhdqkLg4G2NBy -yG2orMuIii8yvAbW9AkA2DHSO7s+Sa7kfLplJbE2KdQmdTELobKnTghsaDnG -NpQWb1uc0iejh+kTAOAxhKzi6Mrpo52eG+zqt/zIPcNk1ER7SfqBnBZ2l1ji -orzY5WvjUw7Fr1ked0VkcFePRWIZoWo8uWBSaJ9MN3yuC40LDMDqLx79+W6H -ue6SwBpy90cGTXk3FymrHS197YmLb51Mz2tGS4VlrTBjIN8AG9iQXDFWNuyG -YXjLS795J7pMTvsEAHiL7G7cqr0FTZiy9freOcP+NmFXhf6CfkJek33qj6bO -WRbeUVMhQew58JazH3q/ffJR58/UjSdmeoeea8E5EMsIVcOppX5OLgZZ2Phd -F0oXGNbp0f8+X7yfwcqCUDyua7gW6T4cMeMqDab21MhKE0K/uNDKvMZWCjPz -8g3rYQsbUiuGbEM9zMNbdHFuQF9DmD4BAJ6ifHTpQqM+VqVFK9yc38kV657X -pYd5unmO62Sst/9mkmx4tKjrU4XOU1Me6uaFqtr9Amf/n7SJoy0UywRl3clN -Cb/ETHbvabw8rwuVCwzoHB1DfZcXMk09qCjfhpwNnFo9E3tqIZ5cDH0tPE/M -cNOLgzBTN2Uui7hKYQLe2pBOMUQb6gUihLf09spJb2U2G8g3fWICrZ0BwArg -7SXHNob4BW6IXRP6r4kurr7h6X1TPmvary0Z87pxzmkqsIaLSWEB0z5JORC7 -LizQwyf0cGHmvi0RH/i6T1udI2rL/2DEsJ5m2HY56GXnhYXcnXRT10VZe3xj -cpm4+ntB376Uv3XpA7kL1A0/BXotzDesDq03kftVFvYknvwa7DU7u9W4m+M4 -zHphnAScdzakVAzdhmjhrbj37eSJX/0pp3tiAiRbB/ofovWc/8uuEdqJmqo+ -4/3hTtOPN/buKBCinM9mrM5tYzyLkxZ/7j4i6HQTriGaMwOdXJb89gTXqGqS -BSPfvlh9IXDIiJ4eXJL/wbAh03/n7vyDqi7Yg9SNByvkGuUDpLHJxnXprRSF -C9oLF7hP/q6qb29L4026flVedTIxOddkJwndnvI/v/QZF1VsutLhOMy6Ydhn -8s6GdIoh2hA1vJXVewQeYYZvP5o+MQHGJsAG6DI+J1Tpthgk+fNdXvm4Jz04 -LroSHXmwjOIImRRZyTov10W6PluSP2/kmM13O6djxOMzQudX0+7lzRs+dHb3 -WkN8edZQpmsNVcOJj2YGGjFrRZ5xZ0NSl9bKIxuPVGknmMhjk23r0gW1C0S/ -v+Ey9Wi9UV9I7U2aflVVnzbTxSv8pklaeGR7YpVxk9wXkRmC0zDrteHrXoOH -TBDamQ3pK45kQ/TwVtX8MMXtvSsSuic9/4NkZwDgFsOA77j56Whv/eqekFWk -7zx4GzGpHU1/nlpb86PviJ4zmocpU52FaQ2cvvdgWpfbd2L+OWH8BB1jXQb9 -5QUPnzdWFZl0IDysi8aMCyRXQtwE3z8w2qWi8ia7sxJkeyrKtviMWVEkZSLK -kjDrxvx8noc2NFNxFBuyCG9ldZLAvc88yvSJCbBuAmyANuDH776vDfjOIPXz -iy7XzsKwh2fik692JWTF20pOn21g9h6PcX++yaA/r8ceZ873DtZukmnwptOz -xy/K4jjZOHld9KhqD7zqYcm6qX/rYs4FWGWsYFyEcRdGbQFF+VZW/SqSPSUF -Cz2F6WSDNLdh1o25PpO3NqRRDNWGepiGN1axS+CzzvAFE9MnJsDYBNiAzoB3 -GjZr3Y7EpPivV20+oT1fVTdnhXs+8/RTep4e5BNzn0mfQWCNlxMDXnxBsOO3 -6tbK7P+Me36wcPel2pY7GeGufx25JP2WGHuSE/PZ2oSUw4nrV8TmPuF6oUFS -l17QxiYb14WBCxT3tvsKjY/3KSygbL59dmfAi896rM4oqJQyHkRR7ako3+47 -40At2Qc6HIaZAbR9Jm9tSKsYmg17YRresjtrJgUeb8TpnpgAYxNgAww3Cuwd -R6qLeXBRzvr3dvad73JrATRphOTqppCtN8kvwOGpawaeDcW586Zt6FNh0ycA -wAd0AR9XybdOgxWOVBdGKGozE5IvPeqd93NrARRpitqspMTzjVRvgfPXNQPL -hlhFXHDUjQ7aJwBge9SS4oyVo5596c3dWcViK94X1B84Ul0QILCWVqxrms2t -BdCk4fImEUb1QgPfXTNwbIhV7luwo1RG+wQAAAAA+g+89Y/NG883q+meAAAA -AED/QbTfSTtyvQ2newIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADw -A7ytMPbT2cIxrhMX7S2VwvX0VgRMbRPA7P0GmHrAoag9f6qE5UX/ZpBXpx66 -IcY1WPX+gFHBcOGiFSEzNSEpOXW+VkH7O1PvWzEeHA/uzA6YATqTAQbRXhQf -dbwONaE0U+lqmVrX/qS3VgqX0qanBCyD3NTKuoyo+CLy6zc1ZN63bjw4HhyZ -HTAPdCYDC2VNyuJtxSS5wLhFemfXJ8mV9DNJgBOMTS0t3rY4pYa8GzT1fj/F -A6FytBWDZWa3DXbqBehMBgTysug535TKOZBEyCqOrpw+2um5wa5+y4/cM8zV -TLSXpB/IabHs3isa+QZg9ReP/ny3g77JMROFgrzq2PqwYP+xf3eZujS1RnvX -Mi6+dTI9r5ksk43lmBbXDZmp5aXfvBNdRuZjU++TxQOHltfeTNqQuz8yaMq7 -uUhJ7shxGLMzgLdeIFfMQkfgorzY5WvjUw7Fr1ked0XU56oiDjoTgP8oKnYG -vMvJxq3sbtyqvQVNmLL1+t45w/42YVeFvu0S8prsU380dU4g8Y6aCgnbmKKU -b4Dq0f8+X7zf7ISKiSgkFDXH9pyr6xSibjqz4B9uH+vv7JeVJoR+caGV81ZE -URy1qUUX5waQVdLU+2TxwKHlO1VUPK5ruBbpPhwxASsZjmN2BvDWC9SKsXcE -3nL2Q++3Tz7q/Km68cRM79BzLV2jE0edCcB/8MenZ0xadZuDzQXlo0sXGvVB -KS1a4eb8Tq5Y97wuPczTzXNcJ2O9/TfTJQFTN2Uui7hKkfqSSr4BnQEd6rvc -fO5MBqIQwZVS/eaIomzLazP2PdDv5BBPLoa+Fp4n5njjhKI4alNLb6+c9FZm -s7Eapt4niwcOLa9HUb4NOTk4GQ5jdgbw1gt0irF1hLo+Veg8NeWhbtGlqt0v -cPb/SZvmnavOBLAD5KVf+EyOvoe0c4u3lxzbGOIXuCF2Tei/Jrq4+oan982v -rGm/tmTM68a5os3DOHUyuXx1w0+BXgvzDcORc1XpBeLi60kfhiQYbOMQT34N -9pqd3cqyl0QtjgrFvW8nT/zqT+M/NPW+uXjgxvLIvaKjmx0RXnqBVDFKR2AN -F5PCAqZ9knIgdl1YoIdP6OHCzH1bIj7wdZ+2OkfUlv/BiGE9Y1zb5aCXnRcW -or35AHnY7R1JwfxRk/dUI44iROs5/5ddI7TzIVV9xvvDnaYfb+xdXROinM9m -rM5tQ+4YGIYTlfz2wgXuk7+r6lsX9qrKq04mJueabEhQClS33Ty+fVmQ5/OD -XJdk9aSUkf/5pc+4qGLWyc8Qi6NAWb1H4BFm8l6Tqffp44Ery9P1igPS7Gi6 -8dALlIpRO0Ja/Ln7iKDTTbiGaM4MdHJZ8tsTXKOqSRaMfPti9YXAISN6RiNJ -/gfDhkz/HW2BB2OTvSPODR4p+G9N3wNLVcOJj2YGGjFrRV5v0OnSKydU6Vby -kvz5Lq/07r3joivRkQfLEF4v6C3uda/BQyYITYszhFq+6Pc3XKYerTdqT2xV -VdWnzXTxCr9pku2ZRqBG+2FL4VqPoYE9GzlYZdwk90Ukcz7zRmZTHAWqmh+m -uL13xXiHw9T7pPGghzvL0/SKA9PsCIrx1gvkilE6QiMrWefl2vU/kvx5I8ds -vtu5viQenxE6v5p2L2/e8KGzu9dN4suzhjJdN6F1JgCPkeS/7ybo2adnjGGI -dtz8dLS3fuOCkFWk7zx4m+UHheanOrTyJVdC3ATfG9eFc1WpBHbTcf1jn7d+ -adHLVZRt8Rmzooj9gR5acRQoq5ME7qat29T7lPHAoeXZnXQ4tNmZwlsvUCpG -7QiasSm1tuZH3xE9500PU6Y6C9Ma0N57gHWTvSMrjvSeEleJ+pqaNkTH776v -/Vln+/Pziy7X7jtjD8/EJ1/tykOJt5WcPtuAJtdcOJmRj1XGCsZFGDcDzlUl -E0jIGx80Y7qGiVX9MPffvbs9koKFnsJ0xHbFvjgKsIpdAp91JkfHpt6niAcO -La9FUb6VVa/osGZnBk+9QKsYtSOMx6ZNBmNTPfY4c753sHbDT4M3nZ49flFW -M2J6Wxib7B11Q1qAQBcVSHSGqNOwWet2JCbFf71q8wntiai6OSvc85mnn9Lz -9CCfmPuIrY82nBjIV9zb7is0PiLmXFUSgYTo8rKJIzyDImIOpaX+mF0t75k+ -Ksq3+844UGvB1zZIxVEhu7NmUuDxRuPmbep9snjg0PJalM23z+4MePFZj9UZ -BZVSxj2OQ5udAbz1Aq1iVI4gsMbLiQEvviDY8Vt1a2X2f8Y9P1i4+1Jty52M -cNe/jlySfkuMPcmJ+WxtQsrhxPUrYnOfIM8yYGyye2QlG/zDClBftTRc2vMI -XJSz/r2dfeepnKuKIJCQXN0UsvUm5cU1HBdHjTh33rQNJG/cmnqfXTz0g+Ud -2+zcwCsvaLhxBDBw6bgROSsG9X1WXYiy2JWwPorazITkS496546cq8pYoKI2 -KynxfKOFV6ZxoT9WERccdcPkYFtD5n1W8aDFypZ3cLNzBV+8oOHKEcAARlb6 -bUhMGUI7UUuKM1aOevalN3dnFYt5+GE2gbW0dp0KcK8qgkBc3iTCLJwxcqM/ -VrlvwY5S8vepTb2PHA+9WM3yA8Ds3MEHL2i4cQQwwFE3Z6+L+hX1rBGwE/DW -PzZvPE95bG/qfYgHLkA2OwAAJuBt1w4dLoJUMg4I0X4n7cj1Nro+0NT7EA+W -wsrsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADMHbCmM/nS0c -4zpx0d5SaT+9l2ylQm1SFwfDAeIBwgAA7B95deqhG2Jcg1XvDxgV3E83XFqp -UJvUxcFwgHggk0ZISk6dr7XObRoAAFgBQi1T62aW0lsrhUtNEq3aVaE2qYuD -4QDxQC5NWZcRFV8El8cCgJ0hvbPrk+TKfp5YWqlQm9TFLITKnvpFB4gHY2nS -4m2LU2rgAlmA9xCyiqMrp492em6wq9/yI/coUsFj9ReP/ny3g75bYSaKBarG -kwsmhRbqcyLg4lsn0/Oa2eYWwkV5scvXxqccil+zPO6KyOBWHKK9JP1ATosV -b9/tWxHLC7VyXTiMDe0Nqg25+yODprybi5SMD0ExiwKDa9fQQmNYCwplWAV5 -6TfvRJehZpwDgH5Gdjdu1d6CJkzZen3vnGF/m7CrwvT6ftWj/32+eL/ZiRwT -UWxQNZxa6ufkssCg0clKE0K/uNDKogHjLWc/9H775KPOn6obT8z0Dj3X0tWj -E/Ka7FN/NHXOJ/GOmgqJNQYo04pYVqi168JhbHTqpHhc13At0n04YqJYNMXY -BgbXrqGHUn9LCmVeBdHFuQFcNU4AsBLKR5cuNOqjVFq0ws35nVyx0Z909oCh -vssLzSZyYyCKlYZ1Jzcl/BIz2d1wbNIQTy6GvhaeJ0ZdmqnrU4XOU1Me6ubW -qtr9Amf/n7T5rpV16WGebp7jOhnr7b+ZJJ2dxZhWxMJCOaiLuilzWcRVCtdy -GBt6FOXbkJOYIyrGKjA4d42Z4ij0t6RQlCpIb6+c9FZmsz3trQIDm/ZrS8a8 -bpyRWqNu+CnQa2G+YfeDt5cc2xjiF7ghdk3ovya6uPqGpz9QMBBFCbVAZe3x -jcll4urvBX3Hps4+6Ndgr9nZrSYNDGu4mBQWMO2TlAOx68ICPXxCDxdm7tsS -8YGv+7TVOaK2/A9GDOvpytouB73svLCQu5NuFhWhw+p1YZx3m5vYQB6bWEQa -VWBw7Bqr6c9KGloVFPe+nTzxqz9hVw+wDwhRzmczVue2Gbfp9sIF7pO/q+rb -eIjWc/4vu0Zop6eq+oz3hztNP96oNitKi7zqZGJyrsmmC7lA7EHqxoMVco3y -gWmjk//5pc+4qGKSuaW0+HP3EUGnm3AN0ZwZ6OSy5LcnuEZVkywY+fbF6guB -Q0b09OCS/A+GDZn+u+XnH5ZUhBYr14Xh2MRVbNCNTUiBQacYZWBw7BpmsG8p -zKWhVkFZvUfgEQYvcAJ2AS66Eh15sIzktFv0+xsuU4/WG/UZutTSCVW6jQlJ -/nyXVz7uSZ1NLaoTVX3aTBev8JsmebZJBLZWHtl4pEo7MSRrdFhl3CT3RWTr -BFnJOi/Xrv+R5M8bOWbz3c4ZIvH4jND51bR7efOGD53dvdYQX541lOlaQ9Vw -4qOZgUbMWpFn3K8gV4QWa9flda/BQyYIqerSBXexQTM2oQQGfaRRBwanrrEg -Hhi1FHI4qYKq5ocpbu9dIfk7ppUCgP6BkFWk7zx4mzxLm+RKiJvg+wdGmw6G -baTj5qejvfVbBLSi6DAVePtOzD8njJ+gY6zLoL+84OHzxqqinr5LUbbFZ8yK -IqmpKJr+PLW25kffET1nNA9TpjoL0xo4PedGrggtVq6L+XUTh7HB7rwJOdKo -A4Nb11hLf0RpLKqgrE4SuHO5lQ0AVgF7eCY++WpXhlG8reT02YY+b/BglbGC -cRHGTV3bRsbvvq/9y85I9/OLLleYF0UHuUA9qtoDr3oYTQglBQs9helkfbFx -f77JoD+vxx5nzvcO1m6SafCm07PHL8riOK03ckVosXJdzI1NHMaGFkX5VlZj -E1KkUQcGt66xlv4spCFWAavYJfBZZ433fQCAM9TNWeGezzz9lJ6nB/nE3Ddq -JYp7232Fxqe1nW3EadisdTsSk+K/XrX5hPZIloEoGkgE9kLS6BTl231nHKg1 -+ZaFwBovJwa8+IJgx2/VrZXZ/xn3/GDh7ku1LXcywl3/OnJJ+i0x9iQn5rO1 -CSmHE9eviM19wvXL4qgVocH6daEdmziMDS3K5ttndwa8+KzH6oyCSinjQRQ1 -0qgCg1qxLqw4NnHYUjipguzOmkmBxxu5nZMBQP+Di3LWv7ez7zTLcG+BE9AE -EpKrm0K23uTj1SucW4bXWD82OAwMm7jGltagQJw7b9oGWDYBDoGiNjMh+dKj -3vmxro3EVXI8NjEUqKjNSko838jPa1c4twzfsXJscBgYNnGN7axBBVYRFxx1 -g9NDNQCwIQTW0op1TUfVkuKMlaOefenN3VnFYi72xNAE4vImEcbDFZPGCpax -D6wWGxwGhk1cY0trUIFV7luwoxRWTQAAAABfwFv/2LzxfPPAmTcBAAAAPIdo -v5N25HobvAUBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOCB4W2Hs -p7OFY1wnLtpbKuXnl7p2g02MaaVCITAsB2wI6FHUnj9Vgp52YiAjr049dEOM -a7Dq/QGjgplkdgUosYkxrVQoBIblgA0BHUR7UXzU8Tp+Xh7HWwi1TK0bzKW3 -VgqXQopPi7CJMa1UKASG5YANAS3KmpTF24pJEqX1M4TKLtdt0ju7PkmuVJj/ -Q8A8NjGmlQrlZ2DYVyvjpw2BfkJeFj3nm1I52o8IWcXRldNHOz032NVv+ZF7 -FDmfsfqLR3++22GuMRBYQ+7+yKAp7+YipYRDUAwX3zqZntdMlnGHCbgoL3b5 -2viUQ/FrlsddERncx0K0l6QfyGmx7O4wDo3JTBQK8qpj68OC/cf+3WXq0tQa -7e3U/DYmOaa14KRQ+wkM/rYyK7kGsH8UFTsD3kXd0JXdjVu1t6AJU7Ze3ztn -2N8m7KowvVJf9eh/ny/ez2DOQyge1zVci3QfjpiuFE0xWWlC6BcXWlkEOt5y -9kPvt08+6vypuvHETO/Qcy1dnRAhr8k+9UeTsvNPOmoqJGzbEIfGZCIKCUXN -sT3n6jqFqJvOLPiH28f6vAf8NSZKLSwt1I4Cg7etzEquARwA/PHpGZNW3Ubb -0VM+unShUR+O0qIVbs7v5IqN5bacDfVdzjjHp6J8G3IqbUTFiCcXQ18LzxOj -LiXU9alC56kpD3XTQVXtfoGz/0/adNzKuvQwTzfPcZ2M9fbfTJdITd2UuSzi -KoUtODQmA1GI4Eqpfg9IUbbltRn7HugPJW1oTBZQ1MLCQu0oMPTwsJVZxzWA -IyAv/cJncvQ99ju67deWjHndOGe2Rt3wU6DXwnzDRoO3lxzbGOIXuCF2Tei/ -Jrq4+oan9+Z7Rm41tNLIFSOe/BrsNTu71aTZYA0Xk8ICpn2SciB2XVigh0/o -4cLMfVsiPvB1n7Y6R9SW/8GIYT2tr+1y0MvOCwvRDmdp85LT6tz1c0Rj0oii -hF4gLr6e9GFIQlnvzq/tjMllLczgaIFhy1bGsWsAx0dSMH/U5D3VbN/RI0Q5 -n81YndtmHInthQvcJ39X1Vcs0XrO/2XXCO2kSlWf8f5wp+nHG/VrdbpWI686 -mZica7JPQCONQjH5n1/6jIsqJpmDSYs/dx8RdLoJ1xDNmYFOLkt+e4JrVDXJ -gpFvX6y+EDhkRE+nI8n/YNiQ6b+jTT0ZdkFcGZNGlBZUe6rbbh7fvizI8/lB -rkuyetLy2MyY9CDWwhyOFRi2bWUcuwZwdMS5wSMF/63pe36pajjx0cxAI2at -yDNuHLjoSnTkwTKSM1rR72+4TD1abxRnunTPCVW67QBJ/nyXV3q2l2lajao+ -baaLV/hNkwzP1NIoFMMq4ya5LyKb2spK1nm5dv2PJH/eyDGb73ZO4IjHZ4TO -r6bdy5s3fOjs7umx+PKsoUynx71mfN1r8JAJQioz0umsBdWYNKI07OzZCSEp -XOsxNDCzWS/Udsakj0m0WpjDsQLDxq2MU9cwjQfAbpHkv+8m6DlGQIGQVaTv -PHib/INdyZUQN8H3xmINg7Pj5qejvb/6U7+IZ7MTTiWNUjFF2RafMSuKSM7W -aLqg1NqaH31H9BwrPEyZ6ixMa0Cb3JmfHnNoTFpRdFB7p4uO6x/7vPVLi16u -zYzJaS3M4UiBYfNWxq1rAEdHVhzpPSWuEvl1Luzhmfjkq13pLfG2ktNnG/qI -wCpjBeMijANUG5zjd9/X/qWyOsnPL7q8e8dZUb6VVasxlUajmKRgoacwnaz7 -MO6CNhl0QfXY48z53sHafR0N3nR69vhFWc2IWT3NdUEcGtOMKDrIBBLyxgfN -mK63wKp+mPvv3i0XmxmT01qYw3ECQ4uNWxm3rgEcHXVDWoBA1+JQftScFe75 -zNNP6Xl6kE/MfaMuUHFvu6/Q+PC2Mzidhs1atyMxKf7rVZtPdJ+FKptvn90Z -8OKzHqszCiqljJs3iTRaxRTl231nHKg1+fyCwBovJwa8+IJgx2/VrZXZ/xn3 -/GDh7ku1LXcywl3/OnJJ+i0x9iQn5rO1CSmHE9eviM19gtx6aLsgDo3JQBQN -JAIJ0eVlE0d4BkXEHEpL/TG7Wt4zp7WdMbmsBT2OExhabNzKyEWxdQ0wEJCV -bPAPK2D6FipzcFHO+vd29n3503BRbzlo0gjJ1U0hW2+222XwW9+YaAJ5bEzO -zcJr7KqVDSzXAJbTcSNyVowFL5FTo6jNTEi+9Kh3VqcLThYbiOSgSFPUZiUl -nm+04ysDrWxMFIG8NibnZuE79tPKBpxrAEuRlX4bElNmnTurCKyltWs3WaOW -FGesHPXsS2/uzioWW7yTgyYNlzeJMB5O8tGwmjHRBPLYmJybxT6wh1Y2QF0D -WIa6OXtd1K8cn0kDAAAAgEXgbdcOHS6C/E0AAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAABAf4K3FcZ+Ols4xnXior2lUktfaudWGkCFY9vZsWvH -K8DUAF+RV6ceuiHGNVj1/oBRwUwygqJKIyQlp87X0t+Coag9f6oEvvZiDDM7 -M3nCGiu6jNuYBGhg22ABwOoQapla18FIb60ULr1qYbZucmnKuoyo+CLKe0qJ -9qL4qON1/Lwtjp8wtTOTJ6zKt6rLuI1JgAZWDRYA+hPpnV2fJFdyNVkyliYt -3rY4pYa8K1PWpCzeVkySGY1bCJUDNjXzdmbyBJl+chm3MQnQgNJgAYBjCFnF -0ZXTRzs9N9jVb/mRe4aJnYn2kvQDOS1IF0LKq46tDwv2H/t3l6lLU2sMrzom -kyYv/ead6DKypFXysug535T2/R8aVQ3A6i8e/fluh7khh8AacvdHBk15Nxcp -xRstqsaTCyaFFuoTneDiWyfT85rJMuhYqUQdzOzM5AkiZC5jKwopipDhMpCo -VbUAOwokALASsrtxq/YWNGHK1ut75wz724RdFfrmRchrsk/90dQ5R8I7aiok -zDoDRc2xPefqOiWom84s+Ifbxzc6NPTSRBfnBvQUaSioYmfAu0ZHCpSqGqB6 -9L/PF+9nMKkmFI/rGq5Fug9HTD9Kg6rh1FI/J5cFBg1cVpoQ+sWFVmtd92xa -InM7M3mCBJnLWEpCjSJEOAwkSlUtwb4CCQCsgvLRpQuN+kiTFq1wc34nV6x7 -Xpce5unmOa6Tsd7+m/smTaMGV0r1e2SKsi2vzdj3oGv5Ty1NenvlpLcym43n -pvjj0zMmrbrdZ3uISlXDn7WcDfVdXsg0QaOifBtyamxKlHUnNyX8EjPZ3bBL -0RBPLoa+Fp4ntsbGoWmJKHZm8gQFMpexBDmKTFA3ZS6LuEoRB1wGEoWqlmBv -gQQAFoK3lxzbGOIXuCF2Tei/Jrq4+oanP+g7K2y/tmTM68aJpVlJw8XXkz4M -SWCw9lfc+3byxK/+NP5DeekXPpOjqRMtkquqbvgp0GthvmGPQqsn8thELU1Z -e3xjcpm4+ntB3y6ls0/5NdhrdnYr2x4fvURSTO3M5AkK5lxGBldRZAJtjnVD -uAkkZFUdKZAAwGKI1nP+L7tGaOdeqvqM94c7TT/e2LtJQIhyPpuxOreNaexT -SlO33Ty+fVmQ5/ODXJdkNZvZhVBW7xF4hJm8cyUpmD9q8p5qimGSStX2wgXu -k7+r6vsrmlrTjU3yqpOJybkmmyjk0rAHqRsPVsg1ygemDVz+55c+46KKGS48 -SSqLXCIZpnZm8gQFepdRwU0UmcBwbOImkOhVdfhAAgDL0eViTqjSbWdI8ue7 -vNK7PY6LrkRHHiyjOBVGlabRfg1RuNZjaKC51b+q5ocpbu9dMW4S4tzgkYL/ -1pCe/lKrKvr9DZepR+uNugFqPWnGJlV92kwXr/CbJscHJNJaK49sPFKlnYSS -NXCsMm6S+6JC08asajjx0cxAI2atyDPuKZFLJMPUzkyeoKhK6jLzP+QkikyL -e91r8JAJQiqTdsFdINGo6viBBACWYxicHTc/He2tX5sTsor0nQdvI34xSSWt -m47rH/u89UsLvVBldZLAfaFJg5Pkv+8mINu8p1VVciXETfC98a+o9WRz3mQq -7fadmH9OGD9Bx1iXQX95wcPnjVVFPX2RomyLz5gVRezPYZBLJMPUzkyeoEDp -Mno4iSITzK+bOA0kNqo6TCABgOVog3P87vva4OwMMT+/6HLtjAl7eCY++Wqb -LhM83lZy+mwDs7dwyKQR8sYHzZiudWJVP8z9t9ndGKxil8Bnncmxtqw40ntK -XKWxImZUxSpjBeMijFsvea21KMq3shqbyKV1oqo98KqH0eRTUrDQU5jewP4N -K+QSyTC1M5MnKFC4zBycRJEJ5sYmzgKJvaoOE0gAYDmdwek0bNa6HYlJ8V+v -2nxCexaqbs4K93zm6af0PD3IJ+Y+w+6FRBohurxs4gjPoIiYQ2mpP2ZXy83O -IWV31kwKPN6IGz1WN6QFCDbd7TMtZaCq4t52X6HxyTaJnlqUzbfP7gx48VmP -1RkFlVJjBVBq3QtJA1eUb/edcaDWgm9TUEskxdTOTJ6gQOYyBnASRabK0I1N -HAaSBao6TCABgOUYLup5Ik2cO2/aBpJZmKxkg39YAfKuNi7KWf/ezr7ybFlr -QnJ1U8jWmxZd82IlOzN5ggQ7l3HrHc6AQKLAwiABAFJ0wYm+7WJFaVhFXHAU -6feKHTciZ8WgvZHchaI2MyH50qPeKa/taq2ozUpKPN9o4Scv1rEzkyeIsHIZ -t97hEggkEiwOEgAwQS0pzlg56tmX3tydVSy2+PtybqRhlfsW7Cgln4TJSr8N -iSljdWsagbW0dp0B2LTWuLxJhFn4kaK17MzkCTLILuPWO9wDgWQEB0ECAPwH -b/1j88bzlIfH6ubsdVG/NsPOtqWY2pnJEzaAyxwaboIEAHgO0X4n7cj1Nrp+ -DG+7duhwEeRvsghTOzN5whZwmcPCXZAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAdo3y4Y8L//ktu09kAUPAkhwCxhw44G2FsZ/OFo5xnbhob6nU -zr9eUNSeP1WC9gkGi58MAAhp+U+7twtf2wKdgIWAJTkEjDmQkFenHrohxjVY -9f6AUcFMch3zFqK9KD7qeB3K1VQsfjIQwEWFh9Lu1v8+RwidgGWAJTkEjDmw -INQytW7RIL21UrjUnhPyKmtSFm8rRsrPxeInbCBUdrUsUzacPfD/6jBNWw4f -OwF7Mia/LWln8NiYdhSTdqRqD9I7uz5JruSVx9GQl0XP+aYUKccM2U8IWcXR -ldNHOz032NVv+ZF7FJnMsfqLR3++22HOzQTWkLs/MmjKu7lISe7IZZEqhotv -nUzPa2ab+gUX5cUuXxufcih+zfK4KyLdpSWKirh578yZO3dusP/wIWOClh54 -wPp6Y94aUyOvOrY+LNh/7N9dpi5NrdFWcMBYkpkoFOzNmBp59antX8UmH/w+ -+vMlG06RbZvYUQN32Oaj17u9JP1ATos93/SnqNgZ8C7aliTZT2R341btLWjC -lK3X984Z9rcJuypMW4Dq0f8+X7yfwThOKB7XNVyLdB+OmICVDGrFZKUJoV9c -aGXhPLzl7Ifeb5981PlTdeOJmd6h51oMr9QS587z32rJBJW3xlTUHNtzrnMK -rlE3nVnwD7eP9ZkBBoQlmYhCwu6Mqa5PmyFYe0d75Tbx5MI7E/7vNaPdIjtq -4A7efAh5TfapP5o6Jw94R02FxD4HKPzx6RmTVt1G2Z4j+4ny0aULjfqYkBat -cHN+J1ds/LOWs6G+y81nkdSjKN+GnBycBDrFiCcXQ18LzxOjToDV9alC56kp -D3VzHVXtfoGz/0+GeaEZdALqpsxlEVcpbMFbY2pwpVS/taEo2/LajH0P9DNn -G1qSFg4tyUAUIvZmTK3Mqc7T9lR0ilDVHf7nq1/2zehrRw3cwZuPsi49zNPN -c1wnY739N9OlPaTtiGyMvPQLn8nRSNnPzP2k/dqSMa8bJ2/WqBt+CvRamG9o -Bby95NjGEL/ADbFrQv810cXVNzy9NykycjzQSiNXjHjya7DX7OxWk5jAGi4m -hQVM+yTlQOy6sEAPn9DDhZn7tkR84Os+bXWOqC3/gxHDeppA2+Wgl50XFqId -ONImyKbVuevntjUmLr6e9GFIQllv12Q7SzKGG0vSiKLEYYyJP7kUOWHIyLn/ -2bc9cv2Ru31fTrajBg7NpwfGHZENkBTMHzV5TzXKC3f0PyFEOZ/NWJ3bZmzm -9sIF7pO/q+r7K6L1nP/LrhHaGYOqPuP94U7TjzfqZ3p08SCvOpmYnGuyCKaR -RqGY/M8vfcZFFZPMK6TFn7uPCDrdhGuI5sxAJ5clvz3BNaqaZMHIty9WXwgc -MqInCCT5HwwbMv13tEkVw5DgozHVbTePb18W5Pn8INclWT2Ja2xmSYZwZUka -UVoc3piykh3+Xi8McgrYeK6p7xmJHTVwaD498HlsEucGjxT8t6ZvmKkaTnw0 -M9CIWSvyutxO+hM9uOhKdOTBMpJzYtHvb7hMPVpv5ENdTuSEKt2aXJI/3+WV -7j1YunhQ1afNdPEKv2mSBplaGoViWGXcJPdFZFMNWck6L9eu/5Hkzxs5ZrN2 -/4J4fEbo/Gravbx5w4fO7p6uiC/PGsp0utJr2Ne9Bg+ZIOxrWGN4a8xOCEnh -Wo+hgZnNeuVsZ0myEDWGO0vSiNI4vDGx2sOL53z3Z3vzH9FvDxs86cs++/p2 -1MCh+aB1RDZCkv++m6Bn49OynxCyivSdB2+Tf48ruRLiJvje+FeGHuy4+elo -76/+1K902ezxUkmjVExRtsVnzIoiktM2mpBIra350XdEzzbvw5SpzsK0BrTj -RvPTFd4as5uO6x/7vPVLi14/m1nSPBxaklYUHQ5hTFnJ+glT4yq1lSDa/vho -lEf4LQMV7aiBQ/Ppgc/rJllxpPeUrniz8CfYwzPxyVe7ckDibSWnzzb0+Qus -MlYwLsLY+loPjt99X/uXyuokP7/o8u5tWUX5VlbxYCqNRjFJwUJPYTqZO41D -YpNBSNRjjzPnewdr19kavOn07PGLslBzbpsLCZ4ak5A3PmjGdO0Jq/ph7r97 -NyVsZklzcGhJM6LocAhjYpXxr45d1vUGAXZ/92u+Mfcxw/+1mwYOzacHPo9N -6oa0AMGmuyifN5H9RN2cFe75zNNP6Xl6kE+fuNWiuLfdV2h8gNzpQadhs9bt -SEyK/3rV5hPdB4bK5ttndwa8+KzH6oyCSiljc5NIo1VMUb7dd8aBWpPdSQJr -vJwY8OILgh2/VbdWZv9n3PODhbsv1bbcyQh3/evIJem3xNiTnJjP1iakHE5c -vyI29wny7JQ2JHhrTEJ0ednEEZ5BETGH0lJ/zK6W98xTbWdJWji0JANRNDiC -MTsV6Cjd/9n/WfbNd/v37dqw/lBp32+D7KiBQ/Pphs9jU+e4vME/rADpJUIW -P9GCi3LWv7ez7wuNhitfy0GTRkiubgrZerOdT1usjOGVMcGS5hgQxuRVTGpo -LckrVe3X49am40bkrBikl8jZ/KQLRW1mQvKlR73zFZ0H0bYUaUCRpqjNSko8 -32jHNwLyxZhgSfMMFGPyJSY15i3JF1Xt3OPWRVb6bUgM2jd5LH7SDYG1tHZt -uWrUkuKMlaOefenN3VnFYov3H9Ck4fImEWb3ExU+GBMsaY6BZUw+xKSGmSX5 -oKoDeNyaqJuz10X9inSKxuInAAAAAIAC3nbt0OEipFdjWfwEAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAW4G2FsZ/OFo5xnbhob6mUs1f5 -rSR2QDFwXMNDlRwYsDZgD8irUw/dEOMarHp/wKhgzi5rtJLYAUU/uoaQlJw6 -X0t/P4ui9vypEut8hwjR0p+wDQAA6FcItUyt62+kt1YKl17lKvW2lcQOKPrV -Ncq6jKj4IsprQon2ovio43VWuqwNoqU/YRUAgINBqOzG1dI7uz5JruR84mQl -sRZiR37R9JtrpMXbFqfUkI8+ypqUxduKSTLWWVclwJqgBABgSwhZxdGV00c7 -PTfY1W/5kXvkubI1WP3Foz/f7TDXtRFYQ+7+yKAp7+Yi5REjR151bH1YsP/Y -v7tMXZpao72QGBffOpme10yazZ5aJ+oKEu0l6QdyWthdTYmL8mKXr41PORS/ -ZnncFZHB1YgWiWWgtgE28Au5YqxcQ+LinlL6zzXy0m/eiS4jy8AmL4ue800p -Sm42KqwVhAzkG8AoWpiJYoGq8eSCSaGF+txA7ALGkhJ1oAUAYEtkd+NW7S1o -wpSt1/fOGfa3CbsqTG+lVz363+eL9zOY1xGKx3UN1yLdhyPmuCRDUXNsz7m6 -TmXUTWcW/MPt4xsdXfqWJoR+caGVeUumrCAhr8k+9UdT53wJ76ipkCD2DXjL -2Q+93z75qPNn6sYTM71Dz7XgHIg1r7YBNvELtWLIrqFwcb+7RnRxbgCZfRUV -OwPe5eQUyEpBaF6+AQyjhYkoNqgaTi31c3JZYDBSIAeMpSWiBgBgS5SPLl1o -1DtFWrTCzfmdXLHRn3Q29VDf5YVMUyEqyrch518mA1dK9TtQirItr83Y90C/ -6CaeXAx9LTxPzHA6R1VBZV16mKeb57hOxnr7b+6bJc086vpUofPUlIe6aZ+q -dr/A2f8nbUZoBLHqpsxlEVcpzMpbv9AphugaKhf3u2ukt1dOeiuz2Vht/PHp -GZNW3eZgR4+DIOyvaGEgig3KupObEn6JmexuODYhB4xlJSIHAMAb2q8tGfO6 -caJljbrhp0CvhfmGQY23lxzbGOIXuCF2Tei/Jrq4+oanP+iZjiH3gbTSOpf+ -15M+DEkwWHETT34N9pqd3WrSldDKoa4gBVjDxaSwgGmfpByIXRcW6OETergw -c9+WiA983aetzhG15X8wYlhPs227HPSy88JCtLNsxtmceekXUsXYucbUxWbg -2jWKe99OnvjVn8bly0u/8JkcjZYClOMg7KWfo4WNqtQClbXHNyaXiau/F/Qd -mygDxnolkkIRAABPIEQ5n81YndtmHCbthQvcJ39X1TdAidZz/i+7RmhnPKr6 -jPeHO00/3qhfIdP1gfKqk4nJuSaLeEpp6rabx7cvC/J8fpDrkqzm7p/J//zS -Z1xUsekkk0YrmgpSIi3+3H1E0OkmXEM0ZwY6uSz57QmuUdUkC0a+fbH6QuCQ -ET1dniT/g2FDpv+OtiZh2Nvw0S+UiqG7htzF5uDWNcrqPQKPMJPX5CQF80dN -3lONOIpwHITd9HO0mFEVKWCwB6kbD1bINcoHpiMFZcAwBL1EMigCAOAFuOhK -dOTBMpKDT9Hvb7hMPVpvFIa6jMkJVbrFvyR/vssrPYcFNH2gqj5tpotX+M0O -4/+glqaFkBSu9Rga2LPmxirjJrkvIpsK08ihriAlspJ1Xq5d5Ujy540cs/lu -58SKeHxG6Pxq2r28ecOHzu6enIsvzxrKdN2kajjx0cxALa97DR4yQaj756wV -eeTdFW/9Qq4YK9doTF1sDm5do6r5YYrbe1eMuzBxbvBIwX9r+p7W97rPgD7u -4zQIbRUt9KqiBExr5ZGNR6q0qxmykYIyYMzbmWWJpPUhDwAENQArQcgq0nce -vE3+faHkSoib4PsHRrNHw5DouPnpaO+eFTGbcw1qaV10XP/Y561fWvT6Kcq2 -+IxZUURyDkAlh7aClNB0gKm1NT/6jug51HiYMtVZmNaAdqhrfibMW79QKobu -mm76utgc3LpGWZ0kcDcdvyT577sJ9hlb2CzcBmE3/RotrFU1FXj7Tsw/J4yf -oGOsy6C/vODh88aqop5BjTpgrFUiGRQBANga7OGZ+OSrbbpXmfC2ktNnG/q8 -sIJVxgrGRRhHjzYkxu++r/3LTsf6+UWXd29VK8q3suoDjaUR8sYHzZiudWBV -P8z9d++Gj6Rgoacwnay7IdfKTAUpMe4ANxl0gPXY48z53sHaXSUN3nR69vhF -Wc24WYl9MNfb8NQvtIqhuYbaxebg1jVYxS6BzzqTNxFkxZHeU+IqUV/f4jYI -u+nHaLFAVerw02jfSznwqofRKoY6YKxVIhkUAQDYFHVzVrjnM08/pefpQT4x -940iUXFvu6/Q+ES0MySchs1atyMxKf7rVZtPdB+iKptvn90Z8OKzHqszCiql -jDtrEmmE6PKyiSM8gyJiDqWl/phdLe+ZwynKt/vOOFBL9mEEiRwGFSSFwBov -Jwa8+IJgx2/VrZXZ/xn3/GDh7ku1LXcywl3/OnJJ+i0x9iQn5rO1CSmHE9ev -iM19gty8aHsb3vqFVjE011C7mB7OXSO7s2ZS4PFGY7OoG9ICBLpRDwkOg9BQ -mX6KFstUpQi/LkhGCpqAsVKJpFAEAMB7cFHO+vd29p1VGC6lLQdBGiG5uilk -603yO0a41Yrv8MovGjt2jTh33rQNJLNmWckG/7ACpi/pd8PTmlo/WpAF0gaM -VUqkgCoAADtAUZuZkHzpUe+sSxcS6PsdFDCWpqjNSko830h1BMCtVnYAX/yi -sWfXYBVxwVE3yA4kOm5EzopBe4mczzW1crQgCjQTMFYokQrqAADsAgJrae06 -G9CoJcUZK0c9+9Kbu7OKxRZ/1Y0gDZc3iTCqWRa3WtkNfPCLxp5dg1XuW7Cj -lHzSLCv9NiSmDGFw4nVNNVaMFmSBtAFjlRKpoAsAAAAAm4C3/rF543nKlzDU -zdnron5Ffc0FsB/MBAAAAED/Q7TfSTtyvY1u6MHbrh06XGSd/E2ArWEQAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABPwNsKYz+dLRzjOnHR3lIp -vOBrdZQPf1z4z29RPkMFKAFjAnaDovb8qRL4hoIx8urUQzfEuAar3h8wKrjr -CkxCUnLqfC19ewc7s4KQlv+0e7vwtS3QnVoOGBOwG4j2ovio43UWXiw1oCDU -MrVuhJHeWilc2p2wUlmXERVfRHl1JNiZHbio8FDa3frf5wihO7UYMCZgPyhr -UhZvK2afXYshhMoBlwvSO7s+Sa7sbePS4m2LU2rIR59+srNZ7MwRyoazB/5f -HaZpy+FjdwrGBABrIS+LnvNNad8kMYSs4ujK6aOdnhvs6rf8yD2KHM5Y/cWj -P9/tMNc4Cawhd39k0JR3c5HyypHLIlUMF986mZ7XbEEWFtQSu/6rvST9QE5L -n5uw5KXfvBNdRpZyh8zOlpRugKM4AhflxS5fG59yKH7N8rgrIt1FLoqKuHnv -zJk7d26w//AhY4KWHnjA+spn3hqzG1XjyQWTQrvT/fDbmABgbRQVOwPeNcoZ -9v/bO/O4Jq7u/z/+1Vf1aetSFOHhsSAUVAQ1UtGwVG0riq0t1a9Lwe+L1tYH -FRX3ot201gXZKtZ+QcUFUBGfl5VfUayiIgi4sipKAYkQRJaQsCSTZCY/whKy -zExmJhMS8Lz/8hXJued+zj137tw7mdP+KGLdodw6RNp479Anlm+57i/THcKy -F3+sXx5Xrn/phUleVvPvhtiPplnzFA9ix9pLovy/vdrI+hsTCVvExFXp52/W -ddwioa1VZSJVw4KMBV54euHpzLx1NQZMINCGS184z0150fFVee25Oc7+lxvU -XzMmzFroucuQpb7ZitnTNv/8Cg8LG/VSdOYrJgAYG/TlhdmT1xVo7DRJX1y/ -Wtudt235a+ysP84San+t4ZK/+2r9BR27kTz5mXY9bhzIHMOaMvynBWUL2d1i -IWpRWp0U4GjnOKGD8c6eO9TKgrUVrJ38YWq9tht4OjNuXd3ugAmEvCaBa+0W -/7zzPkHGi+NYe55Wr5VNYTqV16WuDL5DoIXZitntXnXK9qg/w6bYa5RJNVcx -AcDoiEu+dZmyh7h8WcvdwHHTtUspK+T8095OS3PUBy7aUnwm1M/De1v4Jv+P -JtnYugcl9dYnpp3FpNbwHcOa/vJ1mp/eyPDixKBFXCRPf5ky6fvH2nt3+nTW -ywAIBMLPiAnwmvF1/JHwLQHeDi7+x/NSD+8MXuRuP2NjpqA5Z5GVpep60XzL -Z6T10rwWyo4qIa0bTupz19dNJ6aUdzY0tlRY+RtH89rUH8QEAKMgyl08dsrB -SoIJFxNkrpq9MatZOzNa8pbYT/m1QvNbWONlz5G2wcpFnqwm+fPRFrPO1nYv -1ciyWFyREh2bpbNvQWKNwDHx4+9cJmwoZFyji36LeEgrD3IcAu5ozwPkOuv3 -bWAEoq1wvb2Vz4U6VIHVp3pb2ARea0IVsqpYzpi5GZVXvUdYqSZQUc4iyxGz -btC7J6E4nZqdmMizhNCjZWKF9JnOtcnsxQQAIyHM8h3D+b8q3ANXVHB7T8jR -UpwzY8GNmTZup2q0Mq+zPHFURee+iShnsc07X/XUGSbJYllN4hwbp6AHOhWJ -ia0ROIaUR0y2X4azOpTxz305x1uLeWuytScn2i3iIav6fardZ7e190Jwdabq -2EAJhKK9eIuTbdf/iHIWjhm341HH/SX28iLX+r3Ep9kLR4+a37PUF96aN4rq -Ur9XxulOw0a4colkJPNZiYnEbCw/EXqiQnn/hHdtMm8xAcBoiHI+t+Mcfqa7 -nsfay5L2HS3A/52o6LafHec37W+p513rg2/edVZtbTHZmSeyRuiYpHSny7g1 -+cwf0qbdIh7SyhiOve48QKizXgZSIEim0wRe1Ul3K9URyfN4N2tuIp/eUwD6 -l/pmKGZBUdj7rhNdOxlvM/i1oQ4uM9flqy5qZiwmABiT9sIQ56kR5dpPLCHP -L0bG3ukqx4g2F1+4xNf4C6Q8nDMhWDthlHk38cDfyr/smKE9PPY86dmalzzZ -xSiLda2ROCbKXerITaKZgQa1iAdStp/jsqVYew+GQGe9DKxAaE+n29Wm0xrk -ZepiZ1/lHpUCrbswf+KyNLqlyPVNp2YrZjcy3pH3HLTum8xWTAAwLnJ+ohen -c1SrfVafFuT4+qB/dDNosEvY31qTquTpbneu9mFyR95ZWM7bsjc6JvLHdTvO -9RwaS+sLLu3zGj7EYWNybnkb5QzBsUbqmOTJbvfZR3gG/MiJbou4tBdtmux9 -tla7m3g662VgBQJDam9Few0fytl7rbKxPP2HCW8M4x64zmsoSg6yfXNMYNJD -IdKUGbZqc1T88eita8KzmmivMkinU7MVsxeca5OZigkAxqe9eJtnQC7tR0VR -QebWz/Zp3h6o71cYDj1rmOjOdr9dDwjfF8R+iwQIsxbO2KZz28RYZ70MxECY -DBATAMyH1vsh88KYPNws4aVGxV5/0bvK7Mw7BvtW+NCxJuGlxURfqTXwTXVs -+I+URfhuuK9zBK4wQGe9DLhAmBIQEwDMhfaSX/zCmP1GHEMaGpGuRZ1cVJi8 -duyQtz84kFYoNPj1DPSsoeI6AWLg2pId/5Hyw0v2luA/xm6AznoZQIEwPSAm -AJgH8vr0LRv+ontWCuiANt7cEXqlnmjWAZ0BAADogDbfPXY8H+oKGQTWUpR4 -4l4z2aUHdAYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHhFkD4/ -ufT9X6AQNiuAmIaANueFfzOfO8520rJDJW2s/aTBSGYBADAeWNuT0wd2c6ft -hOnUcEBMwxBXJhy7L0QVSGWc11hf1t7naiSzAAAYDVSQdyzxUc2NT7gwnRoM -iGkomLxd3nlX0/ZwLXeFTo1mMzMLAICRkPIvHfl/1YiiOROmU4MxbzExWX/a -yWor2v91bDnrGhrJLACwC9ZedmrtrHct/jnM1mP1iacEVc2RmoxT/33USp7Y -1EzRQVxxZmuAr+f4f9m4rUioUr4cGhU+TEnKrmdaBQoVZIev3hwZfyxy0+qI -24LO9xdJyiIWfvzJggULfD1Hjxjns+LIM8bvtGZRTJy+s4CsNmXJZP+eCkSv -jpgKDOFnxYX4TP00i1apQVJYEJOkj1hLcdKRzAZmL7DFCw0LZgGg72h/FLHu -UG4dIm28d+gTy7dc95fpziWyF3+sXx6nd6FFxRQtJFVnDl7uWIIr5HUXl/zb -7qvu0hbtJVH+315tZJBdaMOlL5znprzo+Kq89twcZ//LDepv1xNmLfTcZchS -n0UxCfpuGDL++RUeFjbq1fFeCTE7ZmTJy2r+3RD70TTL4JLAhpiEfcTEVenn -b9ZJO2RurSoT0QwPYWgMMwsAfYj0xfWrtd350Ja/xs764yyh1p90DHR/99V5 -eqvuUTBFE1Ta1r0FIyndOW324WfdlXKwpgz/aUHZQrr3ZfKaBK61W/zzzqWt -jBfHsfY8rV5M29DplEUxCftuANLqlO1Rf4ZNsdeo3GpCMeV1qSuD7xBowaaY -XUie/Ey7RDshrIhJ1EdpdVKAo53jhA7GO3vuwKmESQpRaAw0CwCmouVu4Ljp -2hWvFXL+aW+npTnqEwDaUnwm1M/De1v4Jv+PJtnYugcladauJjBFCLlBVHgv -5gu/qNLeeulY01++TvPTG3WmAISfERPgNePr+CPhWwK8HVz8j+elHt4ZvMjd -fsbGTEFzziIrS9UU13zLZ6T10jwjnQizJKZu38khtiblnQ2NLRVW/sbRnE5N -KCblquLsiEn72sSimCynjPmMcwAwOpggc9XsjVnN2lnVkrfEfsqvFZo5gzVe -9hxpG6xcIMpqkj8fbTHrbK1crykl4oqU6NgsnW0PQoPy5gdnd6/0cXxjsG1g -mqrykvjxdy4TNhTiLPzaCtfbW/lcqEMVWH2qt4VN4LUmVCGriuWMmZtRedV7 -hJUqS0U5iyxHzLrB3vGDendYERO/7z3QUhJ5lhB6tEyskD7TmU5NJybFaxNb -I5Ps2mR8MZmnDC7mMc4BwOiggtt7Qo6W4pw3C27MtHE7VaOVtZ2lq6MqOvcj -RDmLbd7pPRAhNtWBrCZxjo1T0AOd0xMSgx1gorzNDqO8U+u7jSLlEZPtl+Gt -BduLtzjZdv2PKGfhmHE7HnXccmAvL3Kt30t8mr1w9Kj5PetJ4a15o6iuJ2X8 -c1/O8dZi3pps/LmERTFx+t7jEg0lG8tPhJ6oUK7T8aZT04k53WnYCFduX4lJ -cm3qCzGZpgw+5jDOAcDYYO1lSfuOFuCX1BPd9rPj/KZ93KGeaK0PvnnX+fvH -Yr2myCAy2EPrva9cPvyzoduupHSny7g1+W26dkhyNoFXddLdSrUP/zzezZqb -yGf7PJhFMXvQ7Ls+dK0VFIW97zrRtZPxNoNfG+rgMnNdvmoeNpmY+u+bWBWT -yXkTi2KymzImH+cAYHSQ5xcjY+90lYNFm4svXOJrPA+FlIdzJgRrJ5sy0SYe -+Fv5l9LKGA+PPU8k+k2RgWcQE9c+q0c6cxap+H3Bf3r3tUS5Sx25SXj5pp2z -29VytgZ5mbrY2Ve5EaJA6y7Mn7gsje0C7KyJSdx3feCHphsZ78h7DlpLfZOJ -qe/axOLIVCJ5sovRtYklMdlNGROPcwAwNvL6tCDH1wf9o5tBg13C/tZKDsnT -3e5c7UPajkSzsJy3ZW90TOSP63acU57rUjBFAo5BTHBr5SQrR5/gsGOJCSfT -K8WqlaXkyW732Ud4Oj8lwZDaW9Few4dy9l6rbCxP/2HCG8O4B67zGoqSg2zf -HBOY9FCINGWGrdocFX88euua8KwmdheTLIpJ3He94FjrBWc6NZ2YpNcmFsVU -Iq0vuLTPa/gQh43JueVtlGdqtsTEN8U0ZUw8zgHATEAFmVs/26f5xKn6BgUr -0DCIie5s99v1oKVf7oEbX0x61kBMUlgUk/WUAQBAIeGlRsVef9G7Qu1MtIhy -lq9NVAxKeGkx0VdqDf+5j8kwsph0rIGYemBRTNZTBgAAJRjS0Nh1/qGQiwqT -144d8vYHB9IKhWxsF9AwiIrrBEi/XOSrYzQx6VkDMUlhUUzWUwYAAAAAAAAA -AAAAAAAAAAAAAAAAAAAABgRoc174N/O542wnLTtU0tbvH2IwCUbSEEJjOBAa -AOifiCsTjt0XogqkMs5rrC+VF3gD2hhJQwiN4UBoAKCfgsnb5Z3LvraHa7kr -7kDVAwYYSUMIjeFAaAAjg8ngttm4tBXt/zqWQrHXvqV/xd1IGkJoDOeVCg1A -hrjy/O7vw2OP/rZnfeC289U4P2tHajJO/fdRq77xjSH8rLgQn6mfZrFXK0ZW -m7Jksn/PK8tQ4cOUpOx6vLeV0XEVay87tXbWuxb/HGbrsfrEUzqlCQgQV5zZ -GuDrOf5fNm4rEqoQSq6Sggqyw1dvjow/FrlpdcRtgdr737CW4qQjmQ2G/X6T -mgImiDu+Y8zE1A2KqhVDNHxVQ9MD3ZTEo3+GBuhb5DWJszmbi5SvJMOarn7s -+r93tW56ZS/+WL88jsJ6A5O8rObfDbEfzVbZa2U5mfMrPCxs1F+n2V4S5f/t -VZ0icHRcbX8Use5Qbh0ibbx36BPLt1z3lxn4HhlJ1ZmDl6sRZZHxi0v+bddT -l4fMVXLQhktfOM9NedHxVXntuTnO/pcbuvIME1eln79Z17F+QFurykRMU42K -AiaJO7FjtMUkCIqhGr6yoelpm15K4tJPQwP0MTJenJv1jINlHQNdVn38/fe+ -e6RROqgj3v7uqzXLAJDApEQOIdLqlO1Rf4ZN0SzfhjVl+E8LUpYP1YKqq9IX -16/Wdid8W/4aO2tV9WqmoNK27k0TSenOabMP95QUInRVD/KaBK61qv4OL45j -7XlaWXVBWp0U4GjnOKGD8c6eO4pxKtVSgoICpok7mWN0xSQIioEashAaeV3q -yuA7BMqabWi63aOXkgT0z9AAfQ7adD3EdcSYBT8c3h2y9cQjzWcs5fzT3k5L -c9SjhbYUnwn18/DeFr7J/6NJNrbuQUm9lQNoJwKxNSnvbGhsqbBSp7Qo1vSX -r9P89EatTKDraictdwPHTdeussDE287/Fd6L+cIvqrT34k7gqkKB8DNiArxm -fB1/JHxLgLeDi//xvNTDO4MXudvP2JgpaM5ZZGWpmpSab/mMpFq3lD74Cpgw -7oSOEYlJNyh6MHpoKFaiN8PQ0E3JgRsaoK9oL97r6TR0sIVX6OU6zY3jlrwl -9lN+rdBMD6zxsudI22DlOklWk/z5aItZZ2u775PJEkFckRIdm6Vz649vDXmW -EHq0TIxb9lr8+DuXCRsKtdY/dF1V/q8gc9XsjVm4BadpeduBvPnB2d0rfRzf -GGwb2FsHEN9VJW2F6+2tfJTl37D6VG8Lm8BrTahCVhXLGTM3o/Kq9wgrVV6J -chZZjph1g70DA/XuEChgsriTOUYoJs2g6MPIoaE4AZpdaOinJJlj/Tk0QB+B -8I4v/+TXxy31N/fMtRw2+bsC9TqighszbdxO1WgNHfVKNKKcxTbvqHaMSRJB -VpM4x8Yp6EGr9n/gWGssPxF6okK5wsJLBKQ8YrL9Mu0lEV1XFajg9p6Qo6X4 -h810vFX7G0yUt9lhlHdqPUbmqhKSmtqJT7MXjh41v2cFKLw1bxTVFaCMf+7L -Od5azFuTjXv5JVHARHEnDw2xmPSCog9jh2a607ARrtx+FhomKUnumJL+GBqg -r2gv3urq1lVVBmu++eVYh6CHahcn0W0/O85vz7S2FdTHW+uDb951/v5x9305 -k81tXWsFRWHvu0507WS8zeDXhjq4zFyXrxrSktKdLuPWaNfipucq1l6WtO9o -gYj26CPuexet975y+fDPBozMVSUkWZbAqzrpbqXaOX8e72bNTcSr8m0QpAqY -Ju56QkMsJr2g6MPIodG/ODfD0DBKSXLHuuhnoQH6EKQ88r3xK7tWQcjfB6a5 -a1SFRsrDOROCtceccrxNPND5d9LKGA+PPU96NpElT3YxSgR8awrcstcKUe5S -R26S9rCj4yry/GJk7J3mzqd40ObiC5f4lJ/UwzOIiWuf1XeV7kEqfl/wn949 -CnxXlWhn2Xa1LKtBXqYudvZVbl0o0LoL8ycuS6unXEWcGnoUMF3cSRwjFpNe -UPRh5NDomwDNNjTdUE9JIlP9NjRA34K1lsSt+p+VP/0ad3j/tq3HSjR/MyF5 -utudq30e2zHeLCznbdkbHRP547od53qON6X1BZf2eQ0f4rAxObe8jfKwILDW -BU4iSJ7sdp99hKfziwqqrsrr04IcXx/0j24GDXbRuBzT9xYT3Fo5ycrRJzjs -WGLCyfRKsUpBIlcxpPZWtNfwoZy91yoby9N/mPDGMO6B67yGouQg2zfHBCY9 -FCJNmWGrNkfFH4/euiY8q4ndmyYKCpgm7qSOEYmJb4o4KOQYPzSkE6DZhqYX -GimJb6qfhgYwN1BB5tbP9mk+eKl+n2449Kxhojvb/XY9aMEZz8Z3lZ5BElfN -n34UdyNE2ayB0ABAFxJealTs9Re9C7XO8dZ1RsUCdKxJeGkx0VdqCZ/5NrKr -dAzqc9X86T9xZz3K5g6EBgC6wJCGxq4NYoVcVJi8duyQtz84kFYoNHiviZ41 -VFwnQPTchhjNVXoGqbhq/vSHuLMe5f4BhAYAAAAAAAAAAAAAAAAAAAAAAAAA -AAAYCKDNeeHfzOeOs5207FBJmxk9aWG2jvUZoIDhGElDCA0AGBlxZcKx+0JU -gVTGeY31NaPfCJqtY30GKGA4RtIQQgMAxgaTt8s7l31tD9dyV9wxUtUMBpit -Y30GKGA4RtIQQgP0gMngttm4tBXt/zqWQtnTPsdsHeszzFOB/pWSRtLQPEMD -kCGuPL/7+/DYo7/tWR+47Xw1zg+8kZqMU/991KpvfGMIPysuxGfqp1mG1xrC -2stOrZ31rsU/h9l6rD7xtLtWACp8mJKUXY/33i5aroorzmwN8PUc/y8btxUJ -VSz9Zl1Wm7Jksn/Pe8b0u0oKKsgOX705Mv5Y5KbVEbcFam9Cw1qKk45kNhj2 -S0Z8eQ37oj7HIDSUoBaafpSSJGjGpasVQzQ0cmiAvkVekzibs7lI+XIurOnq -x67/e1frplf24o/1y+MorDcwyctq/t0Q+9EsFIBufxSx7lBuHSJtvHfoE8u3 -XPeX9cxS7SVR/t9e1SmHRsdVSdWZg5erEWUJ5otL/m2nUVCGMTL++RUeFjbq -78Akc5UctOHSF85zU150fFVee26Os//lhq48w8RV6edv1nWsH9DWqjIR01Qj -lpfpF/U5BqGhCJXQ9KOUJEM3LoZpaOzQAH2MjBfnZj3jYFnHQJdVH3//ve8e -aZRX6Yi3v/tqzRfik8CkWAwO0hfXr9Z2D/22/DV21qpSy8oraIb/tCBlIU0t -KLuKStu69zgkpTunzT6sXQuHicPVKduj/gybollzjdBVPchrErjWqko0vDiO -tedpZf0BaXVSgKOd44QOxjt77ijGKadLzVsSeRl9UZ9jEBrK3uoPTT9KSVKD -OnExUEMWQiOvS10ZfIeqsoCxQZuuh7iOGLPgh8O7Q7aeeKT5jKWcf9rbaWmO -erTQluIzoX4e3tvCN/l/NMnG1j0oqfcd+rQTgdRaJy13A8dNVy8JgDX95es0 -P71RKxPouqpAhfdivvCLKhUrqEFsTco7GxpbKqzUqQdK4KpCgfAzYgK8Znwd -fyR8S4C3g4v/8bzUwzuDF7nbz9iYKWjOWWRlqcr95ls+I6lW8KSPjrz6Oqvn -i3hAaBiBr3A/SkkmcSHD6KGBGhlmR3vxXk+noYMtvEIv12luHLfkLbGf8muF -ZnpgjZc9R9oGK9dJsprkz0dbzDpb232fTJYI4oqU6NgsnVt/EmvK/xVkrpq9 -MUujOrL48XcuEzYUaq1/6Lkqb35wdvdKH8c3BtsG6pY2o+Uq8iwh9GiZGLdW -Nb6rStoK19tb+SgLoWH1qd4WNoHXmlCFrCqWM2ZuRuVV7xFWqrwS5SyyHDHr -huEHBjjgyUvaWQpf1AVCwwAihftRShKaIosLKUYODVybzAuEd3z5J78+bqm/ -uWeu5bDJ3xWoV9QU3Jhp43aqRmvwqtdkEeUstnlHdS5AkgiymsQ5Nk5BD3RO -EIitKVDB7T0hR0u1zoOR8ojJ9su0l0R0XVWCifI2O4zyTq3XbICOq43lJ0JP -VCgXg3iJhu+qEpLq0olPsxeOHjW/ZwUovDVvFNUVoIx/7ss53lrMW5ONfw3B -l5eks+RxIQRCo2AvNP0oJQlMkceFFGOHZrrTsBGuXPLQAH1Fe/FWV7eu+ipY -880vxzoEPVS7OIlu+9lxftPe9Vcfb60PvnnX+fvH3bsvTDa3iaxh7WVJ+44W -iHQGiKR0p8u4NdpVqem62kXrva9cPvyzgeIg1LVWUBT2vutE107G2wx+baiD -y8x1+apkx3dVCUmWJfCqTrpbqXbOn8e7WXMT8epdGwShvMSd1RMXQiA09CBV -uB+lJL4pPXEhxcihgfsmswIpj3xv/MqupQvy94Fp7ho1oJHycM6EYO0xpxxv -Ew90/p20MsbDY8+Tnv1oyZNdjBJB1xry/GJk7J3mzgdt0ObiC5f4KrdEuUsd -uUnaw466q5i49ll9V80ZpOL3Bf/R3Tii52o3OLWqCVxVop1l29WyrAZ5mbrY -2Ve5daFA6y7Mn7gsrZ5yPW1qkMhL3lkKX9RtDEJDAz0K96OUJHdMgR8XUowc -Grg2mRdYa0ncqv9Z+dOvcYf3b9t6rETzNxOSp7vdudrnsR3jzcJy3pa90TGR -P67bca7npFRaX3Bpn9fwIQ4bk3PL2ygPCxxr8vq0IMfXB/2jm0GDXdSumJIn -u91nH+Hp/KKCqquY4NbKSVaOPsFhxxITTqZXiqnfABB0vAucRCNyFUNqb0V7 -DR/K2XutsrE8/YcJbwzjHrjOayhKDrJ9c0xg0kMh0pQZtmpzVPzx6K1rwrOa -2F2Zk8pL1llqX9QFQkMVCgr3o5QkdqwLetcm44cGrk39ClSQufWzfZoPXqrf -pxsOPWuY6M52v10PWnBmrX7kan+ATekgNCzSr8Rk1zEA0EDCS42Kvf6id6HW -Od66zqhYgI41CS8tJvpKLeGDy/3IVbOHXekgNGzSf8RkeRQBgBYY0tDYdQyg -kIsKk9eOHfL2BwfSCoUGb2jQs4aK6wSInrVuP3LVjGFXum4gNCzSH8Q0yigC -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKA/gTbnhX8znzvOdtKyQyVtrD25 -ZSSzrxTsaggRMRyICAD0FeLKhGP3hagCqYzzGuvL2s/BjWT2lYJdDSEihmP8 -iGCi4vNXeFAzHQAUmLxd3rlia3u4lrviDltVeIxk9pWCXQ0hIobTFxGRVidv -iMzvny/rAAAj0Fa0/+tYChWuzcOsgWCy/pT67GoIETEc40akrfDn5fGU6lUC -rwBYe9mptbPetfjnMFuP1SeeEtTkQWoyTv33USt5FlEzRQdxxZmtAb6e4/9l -47YioUr54hNU+DAlKbse77WS+pHVpiyZ7K9Z/7SlOOlIZgOzH62jguzw1Zsj -449FblodcVug9i5Ng8yqjLAXGuV7BPhZcSE+Uz/NYq8UnqaejEJD0kcmGuoO -GEOs0fFWDRNEBN8xZsliFA0ppp645KeP91CudwwMaNofRaw7lFuHSBvvHfrE -8i3X/WW6r76Svfhj/fI4vYslKqZoIak6c/BydYcRed3FJf+26ylw1l4S5f/t -VZ1qnXqR8c+v8LCwUXvvMSauSj9/s65jnYa2VpWJaFpEGy594Tw35UXH1+S1 -5+Y4+19uQFkwq4LF0HT4JHlZzb8bYj+aZrkEEnT1pB8awj4y0pBgwAz8iBA7 -RjsiRtGQeuoJMhZ4GTxxAAMB6YvrV2u7R0Jb/ho76497Ckeq6JiC/d1X63+R -PQVTNEGlbd37HZLSndNmH+4pqIY1ZfhPC1LWeaaBtDple9SfYVN662xKq5MC -HO0cJ3Qw3tlzRzFOeW4y5DUJXGtVLTNeHMfa87Sygg0Ns/K61JXBdwiUZTE0 -3TApM0eIrp5KaIaGqI8MQ0MwYAwMtF5v1T0wSUTIHKObLEbQkE7qtRWsnfyh -drVjTUizBhiQtNwNHDdduzCMQs4/7e20NEd9KKAtxWdC/Ty8t4Vv8v9oko2t -e1CSZl0WAlOEkBtEhfdivvCLUrvTx5r+8nWan96oPYKJ7Uh5Z0NjS4WVtGpA -I/yMmACvGV/HHwnfEuDt4OJ/PC/18M7gRe72MzZmCppzFllZqiaB5ls+I6nW -gFZBuV4MO6GhPRMy0JN+aMj7SNexzv/VGTDsY3YRIXSMWUToashW6kme/jJl -klYFZC2gytKrBibIXDV7Y1az9hBuyVtiP+XXCs0kxBove460DVauxmQ1yZ+P -tph1tlau15QScUVKdGyWzh4DoUF584Ozu1f6OL4x2Dawtwqq+PF3LhM2FOou -3vDtIM8SQo+WiRXSZ7SuTcqz2fX2Vj7KUppYfaq3hU3gtSZUIauK5YyZm1F5 -1XuElepqJMpZZDli1g16K2CKWcZWaMhmQlpxIdOTZmj09ZFQE3oDhmXMLiJk -jtGPCCMN2Uk9aeVBjkMA6XOAcG16tUAFt/eEHC3FOdwV3Jhp43aqRmuAqpcM -E+Ustnmnd1+a2FQHsprEOTZOQQ9atf+DxKBC+duHvM0Oo7xV9/pIecRk+2V4 -dyk4dhrLT4SeqFAu4mhfm7RrQO/orQGd+DR74ehR83vum4S35o2iet8k45/7 -co63kulOw0a4cjv/OW9NNv7EzF5oSGZCOnEh15NWaCiNGXzoDRg99EZEjf4T -EXIZGUVEQVtDdlJPVvX7VLvPbuP8Hb2sAQYGWHtZ0r6jBSLcIItu+9lxfnum -tXmhPg5bH3zzrnP3bTipKTKIDPbQeu8rlw//bOi2Kynd6TJuTX4bFTsFRWHv -u0507WS8zeDXhjq4zFyXr5PyuJBcmxJ4VSfdrVTnTc/j3ay5iXx663T9K0AW -Q8PsdIO2nnRCY8iYoTdg2MMMI6JHRvoR6YGehqyknrQyhmNPvsaD+6ZXBuT5 -xcjYO82dj5ihzcUXLvE1npJBysM5E4K1R7ZyHE488LfyLztGk4fHnicS/abI -wDOIiWuf1XcVLkMqfl/wn97tBVHuUkduEt6VAN+xbmS8I+85GHLftF3t2lSD -vExd7Oyr3PBToHUX5k9cllaP6rWogb4sYzE0SiRPdjGaCWnpSTc0TMcMvQHD -FmYbERLH6EWEuYaspB5Stp/jsoX0UQu4Nr0ayOvTghxfH/SPbgYNdgn7W2tu -kDzd7c7VPvXtGIcWlvO27I2Oifxx3Y5zymNPCqZIwDGICW6tnGTl6BMcdiwx -4WR6pVi1fpM82e0++wgP73cbOHZ6oXdtwpDaW9Few4dy9l6rbCxP/2HCG8O4 -B67zGoqSg2zfHBOY9FCINGWGrdocFX88euua8Kwm2hMhaZaxGBol0vqCS/u8 -hg9x2JicW95G+SJKV096oTFgzNAaMOxgthEhdYxeRAzQkJXUay/aNNn7bC2Z -GnBtAnpABZlbP9unuZRRv39nBRoGMdGd7X67HuC/24R1x8wa44eGnrU+DI2Z -BhoiYpg1YdbCGdsYP+UPvHpIeKlRsddf9C4HO8dhRDnL1yYqBiW8tJjoK7VE -jxqz7pi5Y+TQ0LHWp6Ex30BDRJiDlEX4brhP7TAYALrAkIbGrm1ohVxUmLx2 -7JC3PziQVihkY0efhkFUXCdAiPYZWHesf2C00NCz1oehMfdAQ0SYgZQfXrK3 -BO6aAAAAAHMBbby5I/SKsX6TBgAAAAB0wVqKEk/ca6b5qCsAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAABACtqcF/7NfO4420nLDpW09dGb5U3SKKAA -5fsK0JlFQMz+h4R35Xwx/coT6ogrE47dF6IKpDLOa6xvH70rEa9RTFR8/gpP -Qvo93f6yoMArBXvKA2SYJK0GKiBmfwNryY/ccLaaaoVzIivydnnnlNP2cC13 -BWllSfbAb1RanbwhMh///ZMKvP6yo8ArBUvKA3owSVoNVEDMfoa0Kn75z4U4 -pcGY0Va0/+vYcvLFM+toN9pW+PPy+Cr8OVC3vywrQAQmG4C3C4Ypbxr6YyBM -klYDFRCzfyAu3fPJTyVi/X/YCyrIDl+9OTL+WOSm1RG3BWqvAcFaipOOZDYY -4ZVVWHvZqbWz3rX45zBbj9UnnqrXhcZrVFzy08d7SvF6pdtfPAVImlMDqck4 -9d9HrfpmOgzhZ8WF+Ez9NItWlTd8W7iOocKHKUnZ9XhFdIzUYtd/Gai8Ya2r -YYJAKMQVZ7YG+HqO/5eN24qEKuXrsQ2MgpHTik0ldfvOArLalCWT/XtqMJm3 -mEAfICnb5/UprZ1XtOHSF85zU150BFdee26Os//lhq7IY+Kq9PM36zrWzGhr -VZmI1eC3P4pYdyi3DpE23jv0ieVbrvvLuhOCqFFBxgIv1R+podtfPAUIm1ND -9uKP9cvjKKy+MMnLav7dEPvRNCuQ4kHsWHtJlP+3VxtZTzkjKm9I62qYJBCS -qjMHL1d3OCOvu7jk33ZfdRdeYB4FY6cVi0oS9N0wZPzzKzwsbNTrA5qvmEAf -gL68MHvyugIa+yzymgSutVv8884FjYwXx7H2PK0syCytTgpwtHOc0MF4Z88d -7Nbvkr64frW2O5fa8tfYWX+cJez8nLDRtoK1kz9Mrdde/+n2F08BoubUDTVc -8ndfTbn+uuTJz7SrY+NA5hjWlOE/LShbyO5+lRGVN6B1dbsmCYQClbZ17wxK -SndOm334Wfc2JtMosJBW8rrUlcF3CIRgU0mivhuAtDple9SfYVPsNWrXmlBM -wOSIS751mbLnqcZKCeFnxAR4zfg6/kj4lgBvBxf/43mph3cGL3K3n7ExU9Cc -s8jKUjWwm2/5jLRemsfeqSLaUnwm1M/De1v4Jv+PJtnYugclaVZfVrTcDRw3 -XbsutQ6Sp79MmfT9Y+0dJN3+4imgvzk5/7S309Ic9Twm9Zz2lMhAB6zpL1+n -+emNDC9Ofa48TcwyEKjwXswXflFqe5iEUTB6WlEuJs6Okjh9J4fYmpR3NjS2 -VFj5G0fz2mRCMQGTI8pdPHbKwUqtYdpWuN7eyudCHarA6lO9LWwCrzWhCllV -LGfM3IzKq94jrFSRFuUsshwx6wYL2/cqsMbLniNtg5WrJVlN8uejLWadre29 -98YEmatmb8xq1jcBSysPchwCdB7F0e0vvgL6mmvJW2I/5dcKzW+ReE42JYor -UqJjs3S2LujrIH78ncuEDYWMV4N9rDw938wwEPLmB2d3r/RxfGOwbWCaqi4Q -cRSMnFYUr03sKInf9x5oKYk8Swg9WiZWSJ/pXJtMJyZgcoRZvmM4/1eldeLY -XrzFyXZZZ2xFOQvHjNvxqGNthL28yLV+L/Fp9sLRo+b3rEmEt+aNoromkfHP -fTnHW4t5a7K1s6Sz+HJURecGhChnsc07vRvaqOD2npCjpQTnuBqNVf0+1e6z -29obFLr9xVdAX3OCGzNt3E7VaCUfseckU6KsJnGOjVPQA51Ne9o6IOURk+2X -4QTDPJWn4ZjZBkKh/FVX3maHUd6qXUzCKBg9raY7DRvhyiXSsAv2lMTre49L -NJRsLD8ReqJCef+Ed20ynZjkAxIwPqKcz+04OhvGJHFP4FWddLdS7eU+j3ez -5ibyWT1TVB/ArQ++ede5e4MIay9L2ne0gNoPN6WVMRx73QGp2198BfQ1J7rt -Z8f5TftbRJ4zO+agrYOkdKfLuDX5zB/S7lvlqWK2geih9d5XLh/+2dDtH3EU -jJxW+u+bWFWyC82+60PXWkFR2PuuE107GW8z+LWhDi4z1+WrLmomExMwOe2F -Ic5TI8q1HtnRjvt2tbjXIC9TFzv7Km+mFWjdhfkTl6XVs1tMUjmAJx74W+lT -xzzn4bHniXJVhTy/GBl7p6tuJdpcfOESn/TRVaRsP8dli85pp25/8RXQ1xxS -Hs6ZEKydM/ieK5E82cVoSqSlgyh3qSM3yYAk7FvlqWGmgcDEtc/qkc4pGan4 -fcF/eve1iKNg5LTSd21iTUnivuuDOC4K5UMLR95z0LpvMpmYgMmR8xO9OJ1h -VYEhtbeivYYP5ey9VtlYnv7DhDeGcQ9c5zUUJQfZvjkmMOmhEGnKDFu1OSr+ -ePTWNeFZTWwvSDoGsIXlvC17o2Mif1y345zyvFRenxbk+Pqgf3QzaLBL2N/k -s1x70abJ3mdrtUekbn9xFKDSnOTpbneu9nkyjudKpPUFl/Z5DR/isDE5t7yN -cpLQ1UHyZLf77CM8A37k1LfKU8BsA4EJbq2cZOXoExx2LDHhZHqlWHXjQBQF -46cV6bWJRSWJ+64Xgrh0gXNtMp2YgOlpL97mGZBL9QncPkH9xp8xwqyFM7bh -PCSq21+GCqCCzK2f7dNsgRXPGVrDRHe2++16QPi+IPZbJIC68uxgVoFgIwom -w6yUVPRzMQHDab0fMi/MgEd72adzADPY/VEHKYvw3YD7m0Dd/jJWQMJLjYq9 -/qJ3ocmG573QsSbhpcVEX6k18Icmfa08W5hLINiJgikxFyUVA0FMwFDaS37x -Cys1l4uTXFSYvHbskLc/OJBWKGR8J46UH16ytwT/YWrd/hqgAIY0NHbtvLPk -eQ/0rKHiOgFi4PLSFMqzhzkEgo0omB5zUFIxUMQEDENen75lw18D6LAQbby5 -I/QK4QGtbn8HnAKmgrbyAAAAxKDNd48dzx8gVXWwlqLEE/eaySZA3f4OKAVM -BSPlAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAjATanBf+zXzu -ONtJyw6VtLH2HLORzL46mERAdhuFMWBWDIARZWyzgDkhrkw4dl+IKpDKOK+x -vlQKhJrS7KuDSQRkt1E8a5io+PwVHitvwZDwrpwvhh+FUWYAjChjmwXMCkze -Lu/M77aHa7krdAqzmpnZVweTCMhuo/jWpNXJGyLzDX1VKdaSH7nhbDW8V446 -A2BEGdssYJa0Fe3/Orac9de6GcmsgWCyfrPcNomA7Daqba2t8Ofl8VUGXVak -VfHLfy5kXi+SLfrRQFIxAEaUsc0CJkJWm7Jksr9GRRispTjpSGYDsxdXooLs -8NWbI+OPRW5aHXFboPZyHoPMqoy0l51aO+tdi38Os/VYfeIpQf1zpCbj1H8f -teqbKTCEnxUX4jP10yxadfTwEVec2Rrg6zn+XzZuKxKqlK+RRoUPU5Ky65kV -i2I7LuToOs9CoxS7IC756eM9pfSKVmkgLt3zyU8lNA28MgPJ6CmJC4m85jy9 -AOaDjH9+hYeFjVq1MkxclX7+Zl3HOhZtrSoT0Qw12nDpC+e5KS86viavPTfH -2f9yA8qCWRXtjyLWHcqtQ6SN9w59YvmW6/4y3VoCshd/rF8eR2H5hEleVvPv -htiPplnjFQ9J1ZmDl6s7nJHXXVzyb7uvuitgtJdE+X97tZF2d9mOCzkEzhvW -KPUuCDIWeOEFkqr3Zfu8PqV7yPCqDCTjpyQuhPKa9/QCmA3S6pTtUX+GTbFX -TSDS6qQARzvHCR2Md/bcgVP+jhR5TQLX2i3+eecKT8aL41h7nlYWi6ZhVl6X -ujL4DkF5PemL61dru0d5W/4aO+uPs4Raf9IxfP3dV+dRrc8nefIz7frjeKDS -tu4NHUnpzmmzDz/r3qTCmjL8pwVlC2lt9rAeF2bOG9IonS60Fayd/GFqPcP9 -MPTlhdmT1xXQ29F7RQaSgpWUpA+RvGY+vQB9C9pSfCbUz8N7W/gm/48m2di6 -ByV1l3mW8s6GxpYKK3/j2C+hnIIIPyMmwGvG1/FHwrcEeDu4+B/PSz28M3iR -u/2MjZmC5pxFVpaqNG++5TPSemkevaNJ0qrZ6rTcDRw3Xbs8tkLOP+3ttDRH -vTvECigYTCmk1hSo8F7MF35RajtUWNNfvk7z0xu15xSW42Ic55lao9cFydNf -pkz6/jHDXT1xybcuU/YYUI+xnw8k46ck814owZeXAPOZXoC+AGu87DnSNli5 -5JLVJH8+2mLW2Vq5AnmWEHq0TKyQPqM5B7YVrre38rlQhyqw+lRvC5vAa02o -QlYVyxkzN6PyqvcIK9VwEeUsshwx6wa9pSTFwYMJMlfN3pjVrJ2pLXlL7Kf8 -WqGZCfgKdEI2pYgrUqJjs3T2UQityZsfnN290sfxjcG2gWmqAk3ix9+5TNhQ -qLuWYzku1KDpPCNrdLsgrTzIcQhg+niVKHfx2CkHK5k+TDEABpKxU5IcEk0U -xPISYh7TC9BHdFZ5jqrovMcW5Sy2eeer+43lJ0JPVCgXOLTnwPbiLU62yzoH -iChn4ZhxOx51rO2wlxe51u8lPs1eOHrU/J6FjfDWvFFUFzYy/rkv53grme40 -bIQrt/Of89Zk4w9qVHB7T8jRUpwDbMGNmTZup2q0pgEcBbqPVEimFFlN4hwb -p6AHOrXTia0pwUR5mx1Geav2qJDyiMn2y/BUYDUuvQKqgSMgPef1wUoXZFW/ -T7X77DbO31HplDDLdwzn/6pktL+oZGAMJGOnJOMRRSwvIeYwvQB9hvrgaX3w -zbvO3xcUhb3vOtG1k/E2g18b6uAyc12+Tu7gQjJ4EnhVJ92tVBvCz+PdrLmJ -fHoHk/oXNlh7WdK+owX4v7MU3faz4/z2TGsVratAzw4Sk2MCYmtdtN77yuXD -Pxu6/ZOU7nQZtyYf5zyE3bgYxXn61hh0QVoZw7FnvNEkyvncjnNYO+JUGDAD -ycgpybAXpPISYvLpBehLlINn4oG/lYOnYxrw8NjzRG1HWMY78p6DIfdN29UG -Tw3yMnWxs6/yjlyB1l2YP3FZGt3q4voGD/L8YmTsna7CsWhz8YVLfI0HrJDy -cM6EYO0EJlZA8mQXoylF2xomrn1Wj3SmIVLx+4L/9G7FiHKXOnKT8FKI3bgY -xXkm1mh3ASnbz3HZwvQ0vr0wxHlqRDntx/wG0EAyckoy6IVeeQkx8fQC9C0d -g8fCct6WvdExkT+u23FO86yS3hyIIbW3or2GD+XsvVbZWJ7+w4Q3hnEPXOc1 -FCUH2b45JjDpoRBpygxbtTkq/nj01jXhWU20V2ikg0denxbk+Pqgf3QzaLBL -2N9aQ17ydLc7V/volUABaX3BpX1ew4c4bEzOLW+jPMpxrGGCWysnWTn6BIcd -S0w4mV4pVi0WJU92u88+wsP7bQqLcaEOLeeZWKPfhfaiTZO9z9YynDHl/EQv -TucMRudLA2cgGT8l6feCgry4mHh6Afoc9ZvugQ8qyNz62T7NVTi7CtCwhonu -bPfb9QD/nTwmiYvJpCBGmLVwxjbmDzG3F2/zDMhl/7Hg/jOQTMurNb0ArNI5 -eBjsevRbJLzUqNjrL3qXvOwqQNmahJcWE32llugoxCRxMZEUJCBlEb4b7htw -qNZ6P2RemAEPkRPTTwaSaXnlpheAJeSiwuS1Y4e8/cGBtELhq/N7aQxpaOza -tWdZARrWUHGdACFa6JokLiaTggSk/PCSvSUG/fSzveQXv7BS47xHzewHkml5 -RacXAAAGOGjjzR2hVyg/e0GAvD59y4a/WD7jBwAAAF5JsJaixBP3mlm4pqDN -d48dz4f6TQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAdIE254V/ -M587znbSskMlbfCoMW1MIiC7jcIY6BtAZwCgjLgy4dh9IapAKuO8xvrCux5p -YxIB2W0UzxomKj5/hUf+RgkJ78r5YvjlFGWo6czsEwAYaGDydnnn7NL2cC13 -BdMSq68wJhGQ3UbxrUmrkzdE5hO+QxVryY/ccLbaPN9kZ55Q1ZnZJwAwMGkr -2v91bLm5rcQwWb9JPpMIyG6j2tbaCn9eHl+Ff/WRVsUv/7kQp5wfu/SjAUAd -/Toz+wQYQGDtZafWznrX4p/DbD1Wn3hKUCEZqck49d9HreRJQs0UHcQVZ7YG -+HqO/5eN24qEKuXLjFHhw5Sk7Hq8ikdUQAXZ4as3R8Yfi9y0OuK2QO19OFhL -cdKRzAbD3t3GopjKF4nys+JCfKZ+mkWrJh0+LClJ0kFWBOyLRnWlILMmLvnp -4z2leAWgxKV7PvmpRPN/zHcAdCOrTVky2b+nbJaB2cSgxU6o6czsE2DA0P4o -Yt2h3DpE2njv0CeWb7nuL9N9nb3sxR/rl8fpXZpSMUULSdWZg5erO4zI6y4u -+bfdV92lEtpLovy/vdrIYBJEGy594Tw35UXHV+W15+Y4+19u6Lo6YeKq9PM3 -6zoWYGhrVZmI6fzKopgdPkleVvPvhtiPplkvFQ+2lCTsIEsC9kGjBFIQWxNk -LPDCC6SkbJ/Xp1rHXGY7AHra5p9f4WFho17SkXk2MWyRus7MPgEGCNIX16/W -dke2LX+NnfXHWUKtP+mY0P3dV+svUErBFE1QaVv3doakdOe02Yefdd+8Y00Z -/tOCsoV078vkNQlca7f4553LRBkvjmPteVpZxVpanRTgaOc4oYPxzp47yArZ -yetSVwbfIdCCRTG7kTz5mXYtbzxYUpKogzQEpA/LjRJIQWytrWDt5A9T67Ul -Ql9emD15XYHGjp75DoAu96pTtkf9GTbFXqPcMNNsYtYiHZ2ZfQIMQFruBo6b -rl1nWiHnn/Z2WpqjnkxoS/GZUD8P723hm/w/mmRj6x6UpFlvm8AUIeQGUeG9 -mC/8otTu3LGmv3yd5qc36oxIhJ8RE+A14+v4I+FbArwdXPyP56Ue3hm8yN1+ -xsZMQXPOIitL1XTRfMtnpPXSPHpn6JSrNrMjJu2piS0lWQ+x4c7TbZSuFERI -nv4yZdL3j7X/UFzyrcuUPcRFC81uAEh5Z0NjS4WVv3E0r03E2WS0FnHR1ZnZ -J8CAAxNkrpq9MatZe4S25C2xn/JrhWaOYY2XPUfaBisXW7Ka5M9HW8w6WyvX -a0qJuCIlOjZLZwuB0KC8+cHZ3St9HN8YbBuYpqrkI378ncuEDYU4S+W2wvX2 -Vj4X6lAFVp/qbWETeK0JVciqYjlj5mZUXvUeYaW6GolyFlmOmHWD3pKU4rWJ -LTHJpiYjK8k8xAbAbqM0pSBAWnmQ4xCg8xygKHfx2CkHKwkuk2Y3AJBnCaFH -y8QK6TPdKwVxNlGDfot46OrM7BNggIEKbu8JOVqKc3YruDHTxu1UjVYGdJZa -jqro3L8Q5Sy2ead3357YVAeymsQ5Nk5BD3SKbJMYVCh/y5C32WGUt+reHSmP -mGy/DO+ep714i5Nt1/+IchaOGbfjUceSCnt5kWv9XuLT7IWjR83vuW8S3po3 -iup9k4x/7ss53kqmOw0b4crt/Oe8Ndn40yR7YpJMTUZXkmmIcekVUA0cAVlt -lKYURK5X/T7V7rPb2nOrMMt3DOf/qnAfIzC7AdBYfiL0RIXybgbvSkE4BgyI -GnmLeOjqzOwTYCCBtZcl7TtagP8LQtFtPzvOb8+01ofqo7H1wTfvOnffVpOa -IoPIYA+t975y+fDPhm67ktKdLuPW5OM8vktybUrgVZ10t1KdNz2Pd7PmJvLp -HQLrv29iUUxmxw1sKcl6iA1xnlmj9KQgQFoZw7HXXcOIcj634xzWDqU+V00z -AAqKwt53nejayXibwa8NdXCZuS5fdVEjHgPGahEPXZ2ZfQIMHJDnFyNj73SV -F0Wbiy9c4ms89YKUh3MmBGsPXOVonHjgb+VfdowOD489TyT6TZGBZxAT1z6r -RzpzHKn4fcF/erdfRLlLHblJeNcV7WvTdrVrUw3yMnWxs69yw0+B1l2YP3FZ -Gt1K3fquTSyKqUTyZBejqYkNJVkPMVPnmTdKTwoCkLL9HJctOo9atBeGOE+N -KNd2xEwHgAoZ78h7Dlp3McRjwFgt4qGrM7NPgAGCvD4tyPH1Qf/oZtBgl7C/ -tdJN8nS3O1f7ULdjNFpYztuyNzom8sd1O84pDz8pmCIBxyAmuLVykpWjT3DY -scSEk+mVYtVKVPJkt/vsIzyd/RQMqb0V7TV8KGfvtcrG8vQfJrwxjHvgOq+h -KDnI9s0xgUkPhUhTZtiqzVHxx6O3rgnPaqKdjqTXJhbFVCKtL7i0z2v4EIeN -ybnlbZQvoqwoiW/HsBAzdN6ARmlJQUR70abJ3mdrtfWX8xO9OJ0rH7XPzHUA -9IJzpSAZA0ZqERddnZl9ArxCoILMrZ/t01yaqN/FswINg5jozna/XQ/657tK -jC8mW0qyHmIqmEwKYoRZC2dsw1mYtxdv8wzIpX3QYVYDQMFONhlJZ2afAK8W -El5qVOz1F72rvc7RqLujwRzKBiW8tJjoK7X9+D0lRhaTLSVZDzEVTCQFCUhZ -hO+G+3gnJa33Q+aFET9EToy5DAAFW9lkHJ2ZfQK8emBIQ2PXNr1CLipMXjt2 -yNsfHEgrFLLxg3IaBlFxnQDpl3dM6hhNTLaUZD3EVDCZFCQg5YeX7C3BX5e3 -l/ziF1bK6E1+5jAAFOxkk7F0ZvYJAADAwAdtvLkj9Arh0xLy+vQtG/6i+zwN -oIOuzsw+AQAAGPhgLUWJJ+41k1160Oa7x47nQ/0mg9DVmdknAAAAAAAAAAAA -QJ/z/wHm1TXR +1:eJzsvXlcE2f3/12f548+1fa21lIFSlsQRAVBpd5i2ap2oWI3Wn9u0OdF61LK +otatRdu7X739uiCLLVYfcKmKUVFetfISxVpUBBG0oogVpaxCAFlCAiGZJDN5 +SEhClpnJTDJhMvS8/+jLJuTM5zrnXNdcc83MdVw/Xxm+/P966qmn1vw/ff8J +j9ow6+uvo7795Pm+/5kfvyZ6Rfyype/Fr122YtnX/p//330fPnr2qade7/t7 +1b+VAAAAAAAANgDtKklaPi9gouuUxXvuizE7N2tvMNtMiAVAAqQHPaQNF7Mr +RBjpJxYYAQYJSW3mwT+FqBKpzQgeF5YvsG+z9gazzYRYACRAetAB676T8vXJ +RhnZJxYYAQYPTNGrUE8KxGXxAUtLu+3brL3BbDMhFgAJkB40kNUf+uy/5WLS +TywwwjyYHK7JzCC+t3NZerWUI2ZJYCXWzDYTYjHIcEVnP0MmPWyIpHLbB/9z +X0L6ierD2uyt3yelH/h526qob7KNr49wf2IepCn/6K8PesylFIbwCzNWh77+ +UWEX3SMQIm8+vXBqRImo//9QYVk2r6hNbqVUrLfqaPzs8Q7PjnINjDn8qNf6 +viKpObEhMixo0ssu05dm1iOkUrHuCt7+gnaFRQdCBUVJMetSDh1MWRuTfF2A +MmR2ADZibWPvkYQbYmEMnViwqVMD3fEBTxZX08NekFbtCP7IYHnS9BOlUtF0 +bI7funu9ff/EOi+97/v/3uwmN0IBectvqz7LoHCKx6RPGvk3V7s7vlPAVO7J ++dlLAx1cFmpzr4/e+6kR317qwI0rRam9fyWv3HOjFZF13NrzwdiRvjurEOtk +SutP/HShsc+IovXswlfcvvizh1AqJqnPy77a2jdnQHvqq0Q00xNtP7/E+73T +LX0/UzSfetc74kI7yoBZHazE2tbeIww3xMIEGrFgVaf22PTGB1w4mh72A/rk +zJypK++KyT7pQ96QMd35jZ+q+hJF3vjLm//+7i8JqREKB24/H+Efoxd7cqQP +/zvJmanckzWe3ph6LnGau37u9Z108yNmRBcJTWZpVKXKWi5fatbkn/hOrJvz ++4VC64SiMrFmnUJauXnGnL11MgKpskZepKebp1cfk7yDNlX00juOoikzwHn6 +ocfqeWFfrP2cg47zFbTMKlpzVsSV4vuIpVjb2HtE4WY/FmTYeyxY1qmG5vhA +YIST6WFPSO5/6zNt2yMp2Scq0M7Lq31Hv/rhf/ZuXb3h8F+Gzyji/4QUBf94 +yIRFxfqph3ZXnEgIDwz5JmltxDtTXFz9o3l1OpO0c4/YmqzhZEJ6pbD2Zz/D +3OtLvt/DJszL6zBKPrpS1XTfjJo4c1891UdDyA2iwltpS8JTKwfmAwRSiUH4 ++WmRwW8sO7Q/aX1kiIdPxC8lOXs3x833d39jTYGgq3i+01jdmbTrWuhLzotK +6N1OVTQeeXse/qUzi7FWf2u19xgOt81jQQJXYsGh8WEopYddIbqxYNy0n2pl +ZJ9o6K3YHjTh+eEOwQkXWg0XXgl/Qkx3yUL3aT/WGP4E67gQ9JJrnGpqIm/K ++sTRYfbJZs2lKWnuyYVNT6QmAw2+NaQuM+FAlUQpqzPJPaXkwXc+Xl+XG005 +6EpVfSso+GrOmsIu3MGPjto+FF23T25dEer53HDXqNw27THwpZIhLl/l7hR6 +phVVYm05IQ4uUX90okp5fbrfq+/l114KGe2kS3FR8fyxo2dfoTcHJTk3sRZr +JWPesyLceNg4FiRwJRYcGh/IhSk5lR52hbAw7FW//69eTvaJCqThl88++PFB +d9vVbe+NHTX1O4MFPNyfyPmnPn83xIi5sUX9IRJcmeUy/WiT0aJo15U3nXxS +a9RXwqLiBS6vadelyXJPVr/Pb6Tj/GKTy38cax3VhxMO16gmNXi5h1QnT3Vf +bDwLoStViXZd37b6QCX+kxB01PYMfIuJStZ5jAnJacPIpJLRW7F+gmv/L0TF +n746cZNqWRZ7cjbA+d/HHhV96jhmnnYyJrw2dwzVydhAlGdOGDXaN8Awyv2w +FGtGvWdpuPGxdSzwelw/XIkFh8YHM03mVHrYFaLiT9z8dKu/+J8oVd7a4Ds9 +uVrle6zr6ufjPKLLxGZ+Yua418Pd/H42/ol+iHtuLx/v/f0DzdU/2bxIISi7 +eLXONPim1u7eS3zTd7Kvmkkuw59+3sNn1so7uo4jrdzsMzH2jtF9M3pSsd4q +3o4Dd4lfQaau9oHBc489t77weftcO0YmlQyShM9sqD/i76RbxH58aLpzwDE+ +vZupJNdN7MSaWe9ZHG5cbBwLErgSCw6ND2TCuJYedkVv+Wrv1/tPOoSfKFUz +hpR/T1rRP4tA/t41wz/xb3M/IQepTvLzijMOsyrEk3epTctq0wIDtz3UrttK +H26hfa+T2JpSdRtx/789jOZFohuLPAN4xpGmIxV5fDYlvbRL/eAM2lVx5jyf +slPwDGKS5ro2RJ3YSM2+D78cWAnBl0qGccJv1Ev4JuRJzgLvMNUqghJtPTNv +8uLcNtSsRQNIzk1sxZpJ7zEbbhvHggSuxIJD4wOxKe6lh12h4B8L9tuo/9Sd +6ScqsJ77GV/9nxX/82PG3p3fbDh43+CdA/yfkCN9tNU/wPj2YF+IHcbOXb99 +d1rKDys3ndLeUZS13T2/I/iFER5rsm5UiylHgsBaPzi5J3241X/O/gaTlxio +SlW05UZ7PjPsKQ3DhvsYnMHpq8UE11ZMcfIMjUs8eCzzSF6tROd0IqlEYEjz +td3BLzzvt/2P2o7qvP94PTcqYNflhvZ7WdGu/3o1ilcmRDoLEr9al3rol90b +YpMKO2nPxEjOTSzFmjnv4du3NNy2jwUZXIkFh8YHfFPcTA+7orfim6DIGyLS +TywwYh5UULDh4x2GzzrqXxpbDz1rmKh0Y/iW2904l9+2l0rPIIlU+8SuYm2R +9xgPN2twJRZ2pVNpJm2GTnrYFT1/rp6baPD8t+knFhihgrQhJzX9csvA3Egd +YnqLgyTQsSZtyE3bfbGZ8JaZjaXSMWhOqn1iL7G20HuMh5tNuBILe9GpNCt1 +SKWHHdF7/3/DEyulpJ9YYIQaGNLe0b8MrVSIyrPix4148a1dueVCqy9U6VlD +Ja0CxMxE2mZS6RmkItU+sYdYW+Q9xsPNPlyJhT3oNCd1CKaH3aBoy1v/9e/6 +d9RMP7HACAAAAABYAdp18+Avd/SfdDT9xAIjAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAQxu0qyRp+byAia5TFu+5L4bXKoBBBdIPAAA8 +JLWZB/8UokqkNiN4XBjBDrgAYBsg/QAAwAVT9CrUs1VxWXzA0tKhWTIbsFcg +/QACMDlnrqI5JJWLiO/tXJZeTX+XScvhUEA5JJWjDH76AQyC9VYdjZ893uHZ +Ua6BMYcfEVRORpryj/76oMdcX8IQfmHG6tDXPyqkVeOMhjBUWJbNK2ojqTzE +glSlpObEhsiwoEkvu0xfmlmPMKeTWnRsLZUUVFCUFLMu5dDBlLUxydcFevtJ +Yt0VvP0F7dZu/gm5RwV58+mFUyO05ZYg/RhLP4Atev9KXrnnRisi67i154Ox +I313Vplucy9v+W3VZxkUph+Y9Ekj/+Zqd0ea9TfpCeu9nxrx7aUO3JxjRaq0 +/sRPFxr75Clazy58xe2LP3uY0kklOraWSg7afn6J93unW/p+qmg+9a53xIX2 +/uEBk9TnZV9tlfX9SU99lcjSEQJyjxJyfvbSQAcX/VKAkH4MpB/AHrKWy5ea +NQknvhPr5vx+odDoT/rCH+EfU0K1bqL04X9p14amKQzrzI+YEV0kNJnFsSNV +icrEmtUZaeXmGXP21skY0kkhOraWagZFU2aA8/RDj9WzXnlDhp9z0HFVyW5Z +Iy/S083Tq49J3kGbDAvkGZlozVkRV4rvC8g9aoIbT29MPZc4zd2gTC2kn7Xp +B9gL3TejJs40LgKtVPCPh0xYVKwfPLS74kRCeGDIN0lrI96Z4uLqH80bKOdM +u9ORWsMXhnX+HjZhXl6HUSqzLBUV3kpbEp5aKWFaJ74TBkWqUonw89Mig99Y +dmh/0vrIEA+fiF9KcvZujpvv7/7GmgJBV/F8p7G6IavrWuhLzotK6N16Jqll +D7lHxZqs4WRCeqWw9mc/w3MTpB8VSNIPsBMwQcFXc9YUdhlnR3fJQvdpP9YY +JiXWcSHoJdc41URH3pT1iaPD7JPNmstm0k4nFzY9kZrkH4k1AmGSB9/5eH1d +bjQdYlOqouv2ya0rQj2fG+4aldumVc+MTgInDIZUFeLyVe5OoWdaUSXWlhPi +4BL1RyeqlNen+736Xn7tpZDRTrrhQFQ8f+zo2VfoXQyQDA6Qe+atIXWZCQeq +JEpZncm5CdKPAnBusnfQruvbVh+oxLnZKbgyy2X60SajBVt1CebUGvUFv6h4 +gctr2qVjsk4nq9/nN9JxfrHJBTSxNQJhSHXyVPfFxjMklqX2gYlK1nmMCclp +w5jUSRIdW0tV0VuxfoJr/zei4k9fnbjpr775LvbkbIDzv489KvrUccw87cRV +eG3uGKoTVzn/1OfvhqiYOWHUaN8A9T/nxhbpj3+Qe+asdVQfTjhco7oiwTs3 +QfoRQiX9APbBeqt4Ow7cxS+KKLoe7ub3c53Rxbx+4vXcXj7e+/sHmgt0sgmh +QlB28WqdaY4TWSMUJq3c7DMx9o7YfqRq6bn1hc/b59ox5nSSRsfWUlWQDA6Z +DfVH/J10C/6PD013DjjGp3fjmWTiCrlnxtrde4lv+k72VTPJZfjTz3v4zFp5 +R3cKgPQzD1w32THI47Mp6aVd6sdb0K6KM+f5Bg/jINVJfl5xxkmjSrzJu/5W +/aWsNi0wcNtD7Wqy9OEW2jd58a2RCBPdWOQZwDPOQrakYpLmujZE3cmQmn0f +fjmwUmG9TjPRsbVUFcaDw0a9waEJeZKzwDtMteKiRFvPzJu8OLcNNTVBBsng +ALlH0ZpS9STA/n97GF03QfqZB85N9oqiLTfa85lhT2kYNtwn8W+j7JM+2uof +YHwXtC/xHMbOXb99d1rKDys3ndLe55S13T2/I/iFER5rsm5UiylnCY41UmHS +h1v95+xvMHklgh2pmODaiilOnqFxiQePZR7Jq5XoppDW6qQQHVtLxZDma7uD +X3jeb/sftR3Vef/xem5UwK7LDe33sqJd//VqFK9MiHQWJH61LvXQL7s3xCYV +dtJ+WpdscIDco2CtH5xzE6QfBeDcxGVQQcGGj3cYPoepf8FuPfSsYaLSjeFb +bnfjrDLYlVRWddIzSCKVXewqoEru5J4S0g/4ZyBtyElNv9wyMNNSJ15yNZOd +jqI1aUNu2u6LzYQPs9qLVJZ10jFoTiq72EtAlazHlENS6Ri07/QD7B8Mae/o +XylWKkTlWfHjRrz41q7ccqHVb1zTs4ZKWgWImfmVPUhlVSfzUtnFHgKq5E7u +sS2VnkH7Tz8AAAAAAAAAAAAAAAAAAAAAAAAAAABg6IN2lSQtnxcw0XXK4j33 +xUP2NvY/pJnkgBMAAOAIktrMg38KUSVSmxE8LmzIvrb4D2kmOeAEAAC4Aqbo +Vagn0OKy+IClpfRKEnCHf0gzyQEnANwBk3Pjwp4rOrmL+N7OZekUyrwyBysx +Hfxm2iHgBIANkKb8o78+6DHX7TGEX5ixOvT1jwoZKNYpqTmxITIsaNLLLtOX +Ztar3h1HhWXZvKI2kx212NWpQd58euHUCO1mZQxJxXqrjsbPHu/w7CjXwJjD +j/BLENDCEq+SggqKkmLWpRw6mLI2Jvm6QG/nN6y7gre/oN3a9zTtPffMNZOl +QGugm5ak2DzWAEALectvqz7LoDAjwqRPGvk3V7s7MlBIWlp/4qcLjYiqIPLZ +ha+4aQu79N5Pjfj2UgduH2BFp/bY/OylgQ4u+htpMiC196/klXtutCKyjlt7 +Phg70ndnlZX7xVjgVXLQ9vNLvN873dL3U0XzqXe9Iy60949YmKQ+L/tqq6zv +T3rqq0SWDlr2nnvmmslWoLWHp5eW5Ng61gBAj76MjPCPKTGpC0YA7ULSRIeV +iTWrM9LKzTPm7NXWksE68yNmRKtKZdqHTjWyxtMbU88lTjMs3Ga1VFnL5UvN +mkFKfCfWzVlXWtpSaHvVDIqmzABnXXGchgw/56DjqiIGskZepKebp1cfk7yD +NlXg1CqlJNfOc89cM9kLtEYerbQ0AwOxVrTmrIgrpRpOACBFwT8eMmGRQclK +tLviREJ4YMg3SWsj3pni4uofzRvYi5/2+EBqTYkKb6UtCU+tHCg5hnX+HjZh +Xl6HUddiUaes4WRCeqWw1qSoKENS1XTfjJo407hogSVq1d9S9apSifDz0yKD +31h2aH/S+sgQD5+IX0py9m6Om+/v/saaAkFX8XynsbqBtOta6EtUi4pSgSu5 +x5R+NYwFmm5aDkKsodgEwCDdJQvdp/1YY9hVsI4LQS+5xqnmXvKmrE8cHWaf +bNZcyZOOD3Jh0xOpSZcgtKboun1y64pQz+eGu0YNlBiTPPjOx+vrcqPpGWs6 +kbrMhANVEtyC18xIVX0rKPhqzppC/GrQNvSqCnH5KnenUFVtNqwtJ8TBJeqP +TlQpr0/3e/W9/NpLIaOddCOUqHj+2NGzrzB2D48ruceUfiWDgaaflipsHGs4 +NwEMIrgyy2X60SajNWT9wiui4gUur2nX5MnGB1n9Pr+RjvOLTa7pia2pwEQl +6zzGhOS0aXolUp081X2x8YyNJZ0d1YcTDteoJqp4gwAzUpVo1/Vtqw9U4t8g +t6lXVZAUvD72qOhTxzHztHNp4bW5Y6jOpeX8U5+/G2LE3Ngi/VGZK7lHBHuB +tiQtVdg61jMnjBrtG4AXawCgi+h6uJvfz3VGSwz63aHn9vLx3t8/0Kx8kM1d +FYKyi1frTHsesbV+em594fP2uXbN76SVm30mxhrXi2ZH5917iW/6TvZVM8ll ++NPPe/jMWnlHN7gxIRXrreLtOHBXRNiPbelVFSTjVWZD/RF/J909iMeHpjsH +HMMrmm0ZXMk9ZvQzGGiL0lKFjWMN100AgyDVSX5eccZ5rOoOk3epqy/LatMC +A7c91C6aSx9uoX0/Gs8aJmmua+uv2YLU7Pvwy4F1FdGNRZ4BPONewZZOHTgF +rxmQijw+m5Je2qV+Hgrtqjhznk/5AS4mvKrCeLzaqDdeNSFPchZ4h6kWgZRo +65l5kxfntlGuH24WruQeE/oZDrQO6mmpwsaxhnMTwCTSR1v9A4zvzfZ1B4ex +c9dv352W8sPKTae0t3NlbXfP7wh+YYTHmqwb1WLKiYtjDRNcWzHFyTM0LvHg +scwjebUS3WxR+nCr/5z9DSavaLCjcwCcQcBaqYq23GjPZ4Y9pWHYcJ/Ev6k/ +W8yIVzGk+dru4Bee99v+R21Hdd5/vJ4bFbDrckP7vaxo13+9GsUrEyKdBYlf +rUs99MvuDbFJhZ2MPkDMldyzVj/jgR6ARlraPtZwbgIYBRUUbPh4h+GjofrL +CNZDwxomKt0YvuV2N87Ch13pVLIslZ5BEqnsYlcxtcBL9hZopR3HGgAsQNqQ +k5p+uWVg/qfuDsnVTI4PVKxJG3LTdl9sJny+1l50KlmXSsegOansYi8xtdRL +dhRopb3HGgAsAEPaO/qX4JUKUXlW/LgRL761K7dcaPUaDg1rqKRVgJiZ79mD +Tral0jNIRSq72ENMrfGSnQRayYVYAwAAAAAAAAAAAAAAAAAAAAAAAAAAAID9 +gnaVJC2fFzDRdcriPffFcAMeGFQg/QAAwENSm3nwTyGqRGozgseFwQuXwKAC +6QcAAC6Yolehnq2Ky+IDlpYyVjgDACgA6Qfggck5cwnNIakcRXxv57J0CoVr +mQNiCugY/PQDBhekKf/orw96zPV5DOEXZqwOff2jQutr+GC9VUfjZ493eHaU +a2DM4Uea7ZdRYVk2r6iNZEczFqQqJTUnNkSGBU162WX60sx6hDmd+E5gAHnz +6YVTI7TbrJlXSwoqKEqKWZdy6GDK2pjk6wK9veyw7gre/oJ2a18yhZgOFaka +uJV+gN0ib/lt1WcZFOYemPRJI//mandHBupi9/6VvHLPjVZE1nFrzwdjR/ru +rNLuydJ7PzXi20sduAnHilRp/YmfLjQiqpLTZxe+4qYtx8OATmInWIecn700 +0MFFfwtQMrXkoO3nl3i/d7ql76eK5lPvekdcaO8fHjBJfV721VZZ35/01FeJ +LB0hIKZDRqr28FxKP8B+6Yt9hH9MiUlFMwJo18XGR9Zy+VKzpieI78S6OeuK +QatqSudHzIhW1fm0C6lKVCbWrCJJKzfPmLNXW7DHap1kTrACWePpjannEqcZ +lpwjVGsGRVNmgLOurE9Dhp9z0HFV+QVZIy/S083Tq49J3kGbKkhqxSpac1bE +leK7A2I6hKT2m+VS+gF2jIJ/PGTCIoNim2h3xYmE8MCQb5LWRrwzxcXVP5o3 +sC8/7cGB1Jqa7ptRE2fqVxrAOn8PmzAvr8Moj1mWigpvpS0JT60cKE3HkE58 +J1gqVdZwMiG9UlhrUg6VQK1SifDz0yKD31h2aH/S+sgQD5+IX0py9m6Om+/v +/saaAkFX8XynsbpRq+ta6EtUy6HqICmdADEdYlK5lX6APdNdstB92o81hkmJ +dVwIesk1TjXLkTdlfeLoMPtks+aamXRwkAubnkhNko/EmupbQcFXc9YUGtRv +ljz4zsfr63KjuRCbUhVdt09uXRHq+dxw16iBUnTM6CRwgkVSkbrMhANVEtxS +3fhqVYjLV7k7haqqymFtOSEOLlF/dKJKeX2636vv5ddeChntpBsORMXzx46e +fYXedQvJ4AAxHVJSuZZ+gD0juDLLZfrRJqPVWv2SMaLiBS6vaVe5yQYHWf0+ +v5GO84tNrp6JrSnRruvbVh+oNLoLi1QnT3VfbDw9YlmqUlUbp2Sdx5iQnDaM +SZ0ETrBAakf14YTDNaoJLN7ggK9WBUmp7mOPij51HDNPO3EVXps7hurEVc4/ +9fm7ISpmThg12jdA/c+5sUX6QyDEdAhJ5V76AfaM6Hq4m9/PdUYX8/qJ13N7 ++Xjv7x9o1hLIJq4KQdnFq3WmOU5kDeut4u04cFdk8gNp5WafibHGxa7ZlKql +59YXPm+fa8eY00noBPpS795LfNN3sq+aSS7Dn37ew2fWyju6wQ1frQqSwSGz +of6Iv5Nuwf/xoenOAceoFi3XtoB44goxHTpSOZh+gD2DVCf5ecUZZ4wq8Sbv +UteNltWmBQZue6hdnpY+3EL7ZjS+NeTx2ZT00i71QzdoV8WZ83zdU0KiG4s8 +A3jGKciWVEzSXNfWXxUHqdn34ZcDiyrW6yRxgiVSdeCU6iZQq8J4cNioNzg0 +IU9yFniHqVZclGjrmXmTF+e2Ua6I3g/J4AAxHUpSdXAl/QC7Rvpoq3+A8V3Q +vsRzGDt3/fbdaSk/rNx0SnvjVNZ29/yO4BdGeKzJulEtppwiONYUbbnRns8M +e0rDsOE+iX/ruoX04Vb/OfsbTN6HYEcqJri2YoqTZ2hc4sFjmUfyaiW6KaS1 +OkmdYInUAXAGByK1GNJ8bXfwC8/7bf+jtqM67z9ez40K2HW5of1eVrTrv16N +4pUJkc6CxK/WpR76ZfeG2KTCTtpP65INDhDToSN1AM6kH2DXoIKCDR/vMHwI +U/+C3XroWcNEpRvDt9zuxlllsCuprOqkbZBELbtATC0zyCGpSjtOP8DOkTbk +pKZfbhmYaakTL7maycGBojVpQ27a7ovNhA+z2otUlnXSNGhOLbtATGkb5JBU +pb2nH2DnYEh7R/+itlIhKs+KHzfixbd25ZYLrX7dmp41VNIqQMxMruxBKqs6 +aRukopZdIKZDVSpFtQAAAAAAAAAAAAAAAAAAAAAAAAAAAP840K6SpOXzAia6 +Tlm8577Y2ruqzFqztVlg8IEMYQXo5gDXkNRmHvxTiCqR2ozgcWHWvkXHrDVb +mwUGH8gQVoBuDnAOTNGrUE9QxGXxAUtL6e2Qb2NrtjYLDD6QIawA3RywGkzO +zqWs+N7OZekUCqSyYc3WZklgKxwWwCGpSsgQloBuDuiBNOUf/fVBj7kMxhB+ +Ycbq0Nc/KrS68KhqA+Sj8bPHOzw7yjUw5vAjzUbHqLAsm1fUZrLrVt/fd1fw +9he003pzUFJzYkNkWNCkl12mL82s13+F3RJrOlBBUVLMupRDB1PWxiRfF+ht +7GaV2QE4EA4WpWqRN59eODVCu2mbeal4QIbQhgG34ydb/1f/oG4OmEXe8tuq +zzIozAEw6ZNG/s3V7o4MFMXu/St55Z4brYis49aeD8aO9N1Zpc2p3vupEd9e +6jAIPCapz8u+2irrS5ie+ioRtaSQ1p/46UIjoirKfHbhK24DBWsssqYDbT+/ +xPu90y19P1M0n3rXO+JCO8qAWR0cCAerUrXH5mcvDXRw0d9QlEwqLpAh9I/N +gNsJk+2f1M0B8/TFIMI/psSkdhgBtIti4yNruXypWZOR4juxbs66ssuq6s35 +ETOiVRU1tX/cyIv0dPP06mOSd9CmCpzSmXigMrFmLUNauXnGnL2akjYWWtOi +aMoMcNYVlGnI8HMOOq7a+N9KszrR9h8OdqVqBDee3ph6LnGaYQE7QqkE2G2G +KFpzVsSV4nuW824nSrZ/UjcHKKDgHw+ZsMigrCXaXXEiITww5JuktRHvTHFx +9Y/mDeyATzvVSa2p6b4ZNXGm/p7+WOfvYRPm5XVQHmJID4EKb6UtCU+tlJBY +MADh56dFBr+x7ND+pPWRIR4+Eb+U5OzdHDff3/2NNQWCruL5TmN1Q3fXtdCX +qBbipAKHwsGiVFnDyYT0SmGtSXFVoszhWoaQlHUYOm5XYZJsFglTf2t3QQSs +pLtkofu0H2sMkwPruBD0kmucaiYkb8r6xNFh9slmzbUraarLhU1PpCZnFBJr +qm8FBV/NWVNoUClZ8uA7H6+vy6nPSQgPoei6fXLrilDP54a7Rg0UZTOHuHyV +u1Ooqp4Z1pYT4uAS9UcnqpTXp/u9+l5+7aWQ0U66NBUVzx87evYVxlbzORQO +1qQidZkJB6okuIW/CTOHWxlCcm4aIm7v/xYn2cjgVhABKxFcmeUy/WiTUTj1 +i7OIihe4vKZbxSVJdVn9Pr+RjvOLTVYbiK0p0a7r21YfqDQq+YxUJ091X0xn +mkJyCKWqekzJOo8xITltFDsBSZHoY4+KPnUcM087oRJemzuG6oRKzj/1+bsh +RsyNLdLvmhwKB0tSO6oPJxyuUc2X8QZJ4szhVobMnDBqtG+AHWWIDdyOn2yk +cCuIxN0coILoerib3891RhfV+jnQc3v5eO/vH2iulcmmYQpB2cWrdaa5RmQN +663i7ThwV2TyA2nlZp+JscZlpckgFtxPz60vfN4+12590mY21B/xd9ItRD8+ +NN054BheoWnL4FA42JF6917im76TfdVMchn+9PMePrNW3tENUMSZw6kMIblu +GiJuJ0w2UjgVRMBKkOokP68446xS5cDkXeoKzbLatMDAbQ+1C7vSh1to31rF +t4Y8PpuSXtqlfvgF7ao4c56ve/pTdGORZwCPTirgHQKTNNe19deNQWr2ffgl +9Yt946TdqJe0TciTnAXeYaqVACXaembe5MW5bZTLg5uFQ+FgT6oGnMLfJJnD +qQwhOTcNAbeTJhttYXYbRMBapI+2+gcY343sywGHsXPXb9+dlvLDyk2ntLcc +ZW13z+8IfmGEx5qsG9ViyqHCsaZoy432fGbYUxqGDfdJ/FuXntKHW/3n7G+g +884EziEwwbUVU5w8Q+MSDx7LPJJXK6E4m8KQ5mu7g1943m/7H7Ud1Xn/8Xpu +VMCuyw3t97KiXf/1ahSvTIh0FiR+tS710C+7N8QmFXYyOpviUDjYkToAziBJ +kjmcyhCScxP33U6abLSF2W8QAatBBQUbPt5h+DCk/rWz9dCzholKN4Zvud1N +62qfWcFswqFwcEgqZAgd7NbtQyeIAEWkDTmp6ZdbBqZi6hxIrmYyoyhakzbk +pu2+2EzpoVILD2H3cCgc3JEKGUIdu3X7kAoiQBEMae/oX7RVKkTlWfHjRrz4 +1q7ccqHVV7L0rKGSVgFC94EWZgXbBRwKBxekQoZQx27dPgSDCAAAAAAAAAAA +AAAAAAAAAAAAAAAAMMRBu0qSls8LmOg6ZfGe+2LG9jexkVk75J/TUiLAAwAA +MI2kNvPgn0JUidRmBI8LI3jt0m7M2iH/nJYSAR4AAIBxMEWvQj3TFZfFBywt +ZWo3fhuZtUP+OS0lAjwA/OPB5LBeYCvE93YuS6dQ0tQ+zJLAVpIMfkvtDfAA +MIRAmvKP/vqgx9xogiH8wozVoa9/VGh9JROst+po/OzxDs+Ocg2MOfxIsxky +KizL5hW1kWylR0kqvnEGkDefXjg1QruZmHm1eEhqTmyIDAua9LLL9KWZ9frv +uGPdFbz9Be2WvVeICoqSYtalHDqYsjYm+bpAb/M0q8wOwIEkMddSak0gDpAV +MJE5OmweawCwB+Qtv636LIPCRAuTPmnk31zt7shAiefev5JX7rnRisg6bu35 +YOxI351V2jGg935qxLeXOnB7F0WpxMatQ87PXhro4KK/0SWZWlyk9Sd+utCI +qOpun134ittAARpMUp+XfbVV1jfy9NRXiWiOLmj7+SXe751u6fuZovnUu94R +F9pRBszq4ECSmGspxSYQBsgamMgcHbaONQDYBX2JHuEfU2JSX4wA2iWe8ZG1 +XL7UrBloxHdi3Zx15Y9VFZ7zI2ZEq4pbWiiVzLg1mhtPb0w9lzjNsLAaoVoC +UJlYs9olrdw8Y85eTSUeWSMv0tPN06uPSd5Bmyqo1/xVo2jKDHDWlZtpyPBz +DjquKllgpVmdaPtPEnMtpdwEggBZ1RBGMkcLA7FWtOasiCulGk4AYAMF/3jI +hEUGpS/R7ooTCeGBId8krY14Z4qLq380b2CXfNrDDqk1Nd03oybO1N/0H+v8 +PWzCvLwOo05LVyq+cUvVyhpOJqRXCmtNin4SqDWjDRXeSlsSnlopUVIE4een +RQa/sezQ/qT1kSEePhG/lOTs3Rw339/9jTUFgq7i+U5jdUN317XQl6iW6aQC +h5KEqSbQDhCDmWP7WJPV4AAA+6C7ZKH7tB9rDMdurONC0Euucaopnbwp6xNH +h9knmzULBKTDjlzY9ERq0tNIrKm+FRR8NWdNoUHFYsmD73y8vi43mvjRlUpg +3CK1SF1mwoEqCW5Bany1ZNoUXbdPbl0R6vnccNco6qXQxOWr3J1CVdXOsLac +EAeXqD86UaW8Pt3v1ffyay+FjHbSjVCi4vljR8++Yv39Hg0cShJmmmAmQDbP +HFvHGs5NgP0juDLLZfrRJqPup18nRVS8wOU13ao7ybAjq9/nN9JxfrHJUgGx +NSXadX3b6gOVRg8rINXJU90XG88F6UolMG6B2o7qwwmHa1SzYLwRBl+tGW1K +Vd2bknUeY0Jy2qwvIX3sUdGnjmPmaefSwmtzx1CdS8v5pz5/N8SIubFF+ucB +DiUJEbSTR0kYoMHIHFvHeuaEUaN9A/BiDQB2guh6uJvfz8Zr6vq9rOf28vHe +3z/QrG2QTYkVgrKLV+tMTwVE1rDeKt6OA3dFJj+QVm72mRhrXHeanlRC4/TV +3r2X+KbvZF81k1yGP/28h8+slXd0gxi+WjJtWnpufeHz9rl2689NmQ31R/yd +dPcgHh+a7hxwjE5Ne3I4lCRMNaEf/AANQubYONZw3QTYP0h1kp9XnHH3UPWy +ybvUlZJltWmBgdseahfipQ+30L7NjW8NeXw2Jb20S/2EEdpVceY8X/cwnejG +Is8AnnF/oyOVxLhlajXgFKQmUEtkCpM017X1V7xBavZ9+CX1NT3j8Wqj3njV +hDzJWeAdploEUqKtZ+ZNXpzbRrkEt1k4lCTWN8HyADGYOTaONZybAA4gfbTV +P8D4YYG+XuYwdu767bvTUn5YuemU9haxrO3u+R3BL4zwWJN1o1pMuT/gWFO0 +5UZ7PjPsKQ3Dhvsk/q0bdaQPt/rP2d9g8vIHVamkxi1ROwDOCEOkFt8UJri2 +YoqTZ2hc4sFjmUfyaiUUL5owpPna7uAXnvfb/kdtR3Xef7yeGxWw63JD+72s +aNd/vRrFKxMinQWJX61LPfTL7g2xSYWdjD5AzKEksbYJlgYI39oANDLH9rGG +cxPABVBBwYaPdxg+caq/OmE99KxhotKN4Vtud+OMCbaXStsgiVobaGMNDiUJ +EUOgCQDwT0PakJOafrllYE6p7mXJ1Uz2WYrWpA25absvNhM+821jqTQNmlHL +uDY24VCSEP+O800AgH8aGNLe0b/IrlSIyrPix4148a1dueVCq5eG6FlDJa0C +xMxM0mZSmVXLuDb24VCSEDEEmgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPOg +XSVJy+cFTHSdsnjPfTHc1DcAnAMeAACADSS1mQf/FKJKpDYjeFwYvMRpADgH +PAAAACtgil6FejYsLosPWFrKWDGOIQE4BzwAsAQm58xVOoekchHxvZ3L0ikU +w2UODgV08J1jb4AHAKtBmvKP/vqgx1y3xxB+Ycbq0Nc/KrS+NBDWW3U0fvZ4 +h2dHuQbGHH6k2dUZFZZl84raSHZJY0GqUlJzYkNkWNCkl12mL82sRxjUaWqZ +AeTNpxdOjdBu3WZeKimooCgpZl3KoYMpa2OSrwv09sfDuit4+wvarX1rlSsB +xdOEm8P9X5lxDqQHAJhF3vLbqs8yKExvMOmTRv7N1e6O1pfbVvb+lbxyz41W +RNZxa88HY0f67qzS9rze+6kR317qwM1pVqRK60/8dKERUVWyPrvwFTdtiR8G +dBJYtg45P3tpoIOL/raiZFLJQdvPL/F+73RL308Vzafe9Y640N4//GCS+rzs +q62yvj/pqa8SWToCcSWguBDmsDnnQHoAgHn60ivCP6bEpFAaAbTLbeMja7l8 +qVnTk8V3Yt2cdTWmVaWq8yNmRKvKh9qFVCUqE2sWkqSVm2fM2astAmS9TiLL +ViBrPL0x9VziNMMydoRSzaBoygxw1pUKasjwcw46rirpIGvkRXq6eXr1Mck7 +aFMFxeKzxnAloPgQ5bA550B66JtozVkRV0o1A4B/Egr+8ZAJiwxqeKLdFScS +wgNDvklaG/HOFBdX/2jewHb/tMcHUmtqum9GTZypX70A6/w9bMK8vA7jkm7s +SkWFt9KWhKdWDhSfY0gnjmVLdcoaTiakVwprTUqsEkhVKhF+flpk8BvLDu1P +Wh8Z4uET8UtJzt7NcfP93d9YUyDoKp7vNFY3bei6FvoS1RKrVOBKQC3JYeZa +PbTTA6p1AER0lyx0n/ZjjWGnwjouBL3kGqeaSMmbsj5xdJh9sllzWU46PsiF +TU+kJvlNYk31raDgqzlrCg3KQksefOfj9XW50XSLTamKrtsnt64I9XxuuGvU +QLE5JnTiW7ZIJ1KXmXCgSoJb/htfqgpx+Sp3p1BVpTqsLSfEwSXqj05UKa9P +93v1vfzaSyGjnXTDjah4/tjRs68wcL+nH64ElFyVEj+HGWr1UE8PODcBRAiu +zHKZfrTJKOn1K9GIihe4vKZb6yYZH2T1+/xGOs4vNrlAJ7amRLuub1t9oNKo +vjVSnTzVfbHxDIxlqUpVyZ2SdR5jQnLaMCZ14lm2QGdH9eGEwzWqCTLe4IMv +VQVJ+e9jj4o+dRwzTzsxFl6bO4bqxFjOP/X5uyFGzI0t0h+/uRJQM3bwc5gQ +SA+lfnrMnDBqtG8AXnoA/3BE18Pd/H42XsnWz+2e28vHe3//QLOiQDZ3VQjK +Ll6tM+2jRNaw3irejgN3RSY/kFZu9pkYa1xAm02pWnpufeHz9rl2jEmdeJbp +67x7L/FN38m+aia5DH/6eQ+fWSvv6MY3fKkqSAafzIb6I/5OuhsKjw9Ndw44 +RrUKunm4ElAyO4Q5zFir8XTSb7W9pgdcNwFEINVJfl5xxkmpyu3Ju9QFsGW1 +aYGB2x5ql7+lD7fQvh+Nbw15fDYlvbRL/VwP2lVx5jxf94ys6MYizwCecZaz +JRWTNNe19RfbQWr2ffjlwNKKtTqJLVuiUwdO+W8CqSqMB5+NeoNPE/IkZ4F3 +mGpFR4m2npk3eXFuG+Uq62bhSkCJVZHkMAOt/iekB5ybAEKkj7b6Bxjfxe3L +bYexc9dv352W8sPKTae0N2ZlbXfP7wh+YYTHmqwb1WLKWYhjTdGWG+35zLCn +NAwb7pP4t65bSx9u9Z+zv8HklQt2pGKCayumOHmGxiUePJZ5JK9WopulWquT +2LIlOgfAGXyIpGJI87XdwS8877f9j9qO6rz/eD03KmDX5Yb2e1nRrv96NYpX +JkQ6CxK/Wpd66JfdG2KTCjsZfRqYKwHFt0Oawwy0+h+RHnBuAohBBQUbPt5h ++Jyn/pqA9dCzholKN4Zvud2N0xPtSipXdCpJpbKLXTmK1EtMqrKrVivtOD0A +QNqQk5p+uWVgJqfO7eRqJnsKRWvShty03RebCR/GtRepXNGpNC+VXezFUWa8 +xKwqu2m10t7TAwAwpL2jf2lbqRCVZ8WPG/HiW7tyy4VWr+HQs4ZKWgWImfmb +PUjlik6KUtnFHhxF6iVmVWmwh1YruZAeAAAAAAAAAAAAAAAAAAAAAAAAAAAA +ADBIoF0lScvnBUx0nbJ4z30x3E3nKhBHAACGEJLazIN/ClElUpsRPC4M3p7k +KhBHAACGEpiiV6GeZIvL4gOWljJWOAMYXCCOwBACk8OVP6BBfG/nsnQKhWuZ +gyvpxxWd/Qx+HAGAAkhT/tFfH/SY60sYwi/MWB36+keF1tfwwXqrjsbPHu/w +7CjXwJjDjzR7KaPCsmxeURvejmZ0pOIbtwZJzYkNkWFBk152mb40sx5hTiqO +ZQaQN59eODVCu2eaeamkoIKipJh1KYcOpqyNSb4u0NvLDuuu4O0vaLf2dVEW +0s+GAWVWpwYGAkrSKczFkUOdDhhKyFt+W/VZBoUpEyZ90si/udrdkYG62L1/ +Ja/cc6MVkXXc2vPB2JG+O6u0o3Lv/dSIby914PYTilKJjVuItP7ETxcaEVUJ +6bMLX3HT1tZhQCqBZeuQ87OXBjq46O/nSSaVHLT9/BLv90639P1U0XzqXe+I +C+39ZydMUp+XfbVV1vcnPfVVIktPUKykn+0CyqxO7bEZCChhpzAXRw51OmBI +0Tf0RPjHlJiUJyOAdl1sfGQtly81a3JXfCfWzVlX2VlVIDo/Yka0qminhVLJ +jFsGKhNrFmiklZtnzNmrrb5jtVRCy1Ygazy9MfVc4jTD+nGEUs2gaMoMcNbV +6GnI8HMOOq6qpSBr5EV6unl69THJO2hTBU7JVJ2J1pwVcaX4vmAn/WwYUGZ1 +qmEkoESdwlwcOdTpgKGFgn88ZMIig8qZaHfFiYTwwJBvktZGvDPFxdU/mjew +yT7tTkdqTU33zaiJM/VrBmCdv4dNmJfXYVxIjaZUfOPWqEWFt9KWhKdWDlR9 +Y0qqqWVLdcoaTiakVwprTWqbEkhVKhF+flpk8BvLDu1PWh8Z4uET8UtJzt7N +cfP93d9YUyDoKp7vNFY3znRdC32Jam3TAW8Q10FgOf1sFlAGddIOKKOdgkOd +DhhidJcsdJ/2Y41hGmEdF4Jeco1TTU3kTVmfODrMPtmsuYYm7XRyYdMTqUnG +kFhTfSso+GrOmkKDYsySB9/5eH1dbjSFoyuVwLilahVdt09uXRHq+dxw16iB +Km9MSMW3bJFOpC4z4UCVBLfuNr5UFeLyVe5OoaoScVhbToiDS9QfnahSXp/u +9+p7+bWXQkY76c5GouL5Y0fPvkLveoDk3MRm+tkuoAzqtCigVnQKYzjU6YAh +huDKLJfpR5uMBkT9+i+i4gUur+nug5B0Oln9Pr+RjvOLTS7/ia0p0a7r21Yf +qDS6b4pUJ091X2w8O6crlcC4FWqVqlo3Jes8xoTktGGMSsWxbIHOjurDCYdr +VFNOvKEMX6oKkrrbxx4Vfeo4Zp72ukl4be4YqtdNcv6pz98NUTFzwqjRvgHq +f86NLdIftFhOP6WtAsqQTksDammnMIVDnU6pn3J6GKUcwBVE18Pd/H42vsuh +nyo9t5eP9/7+geaSmmxCqBCUXbxaZ5qVRNaw3irejgN3RSY/kFZu9pkYa1y2 +mp5UQuOWqtXSc+sLn7fPtWPMScW3TF/n3XuJb/pO9lUzyWX40897+MxaeUfX +x/GlqiA5N2U21B/xd9Ldb3p8aLpzwDG82t0kkFw3sZl+WmwRUGZ0WhxQizuF +CRzqdMAQA6lO8vOKMw6zKlUm71JXmJbVpgUGbnuoXf+VPtxC+yYvvjXk8dmU +9NIu9TNfaFfFmfN83XM9ohuLPAN4xiMgHakkxi1Ri0ma69r6q9wgNfs+/HJg +ecFaqcSWLdGpA6fuNoFUFcbnpo1656Ym5EnOAu8w1YKfEm09M2/y4tw2yhXR ++yE5N7GVfrYLKLM6ddALKHOdgkOdDhhqSB9t9Q8wvm/ZlyoOY+eu3747LeWH +lZtOae9Mytrunt8R/MIIjzVZN6rFlEcoHGuKttxoz2eGPaVh2HCfxL91iSx9 +uNV/zv4Gk5cYqEolNW6JWkxwbcUUJ8/QuMSDxzKP5NVKdPM+a6USW7ZE5wA4 +QxmRVAxpvrY7+IXn/bb/UdtRnfcfr+dGBey63NB+Lyva9V+vRvHKhEhnQeJX +61IP/bJ7Q2xSYSftIYHk3MRS+tkuoMzqHIBGQPFNWdopONTpgKEGKijY8PEO +w2dH9S+xrYeeNUxUujF8y+1unFHa9lLpGWRVKmNeZRe7ctRQCSiTwjjU6YCh +h7QhJzX9csvA3EidKsnVTHY6itakDblpuy82Ez5+amOpdAyyLJVJr7KLvThq +6ASU4U7BoU4HDD0wpL2jf21XqRCVZ8WPG/HiW7tyy4VWr+nSs4ZKWgWImRmR +zaTSM8iqVOa9yi724KihElDGO4UKDnU6AAAAAAAAAAAAAAAAAAAAAAAAAAAA +DoB2lSQtnxcw0XXK4j33xdbeB2XWGgBQBNIYAIYWktrMg38KUSVSmxE8Lozg +DU6WrAEARSCNAWCIgSl6Fep5obgsPmBpKb3qDDa2BgAUgTQGANuDyVlYRBDf +27ksnULVUTasDT1YCbFlcEiqEtIYAOiBNOUf/fVBj7lOjiH8wozVoa9/VMhA +QU9JzYkNkWFBk152mb40s171RjgqLMvmFbXh7JOFdVfw9he003nRD+utOho/ +e7zDs6NcA2MOP9Lf+ticNUreILFvHfLm0wunRmh3TiP2CU1YCDG+i8y3iI1s +1MCA861IPDxMu4k11gCAS8hbflv1WQaF2RcmfdLIv7na3ZGBYtPS+hM/XWhE +VAW7zy58xU1brqX3fmrEt5c6DPobJqnPy77aKusbK3rqq0TU+mLvX8kr99xo +RWQdt/Z8MHak784qhJo1it4gtG8lcn720kAHF/1dPfF8QtcqGyEmdhFZi1iR +qj02A863OPFwIegmFloDAC6Btp+P8I8pMan2RQDtYtNEh5WJNWsx0srNM+bs +1VaIwTrzI2ZEqwpgapA18iI93Ty9+pjkHbSpglqxS1nL5UvNmkFBfCfWzVlT +VdycNareILJvJbLG0xtTzyVOM6wiZ+ITmrATYjIXEbaIpWzsF8yE8y1NPAII +uomF1gCAQyj4x0MmLDIoRIl2V5xICA8M+SZpbcQ7U1xc/aN5A/v10x4NSK0p +UeGttCXhqZUDhcSwzt/DJszL66A6EJPbV9F9M2riTONd/vGh6w269skNyhpO +JqRXCmtNKpzS9Yl1jWI4xCpMXETQIhal0nY+s4lBt5sAwFCnu2Sh+7Qfawz7 +D9ZxIegl1zjVZFHelPWJo8Psk82aVQPS0UAubHoiNRlACa0pum6f3Loi1PO5 +4a5RA4XDJA++8/H6upz6VJBErepbQcFXc9YUUqvKTNcb5uzTcQhSl5lwoEqC +W32btk+saRSTIe7/FsdF+C1iTapFzmcw8cis4XcTABjiCK7Mcpl+tMko4/XL +qYiKF7i8plvoJhkNZPX7/EY6zi82WZAhtqYCE5Ws8xgTktOm6cRIdfJU9/4i +rBQhsY92Xd+2+kAl1ScV6HqD3D4dh3RUH044XKOaKeMNj4Q+kfNPff5uiBFz +Y4v0R0SWQ4zvIvwWsSTVQuczmHhmrClNu4kZqCQGANgzouvhbn4/1xmtO+h3 +k57by8d7f/9As5xANlNVCMouXq0z7Y7E1vrpufWFz9vn2jW/k1Zu9pkYa1wF +mgwi+1hvFW/Hgbsi6t2RnjfM2qfukLv3Et/0neyrZpLL8Kef9/CZtfKObmii +7xOLG8VsiAldhN8idqRa7HzmEo+8mf0YdhMAGOIg1Ul+XnHGHU/VTSbvUtdU +ltWmBQZue6hd+5Y+3EL77jOeNUzSXNfWX4kFqdn34ZcDixWiG4s8A3h8GmsX ++GqRx2dT0ku71CWx0a6KM+f55p+ko+MNS+yTGtSAU33bAp9Y2CgVTIWY1EX4 +LWJPqgZ6zmc2Meh1EwAY6kgfbfUPML5h29dNHMbOXb99d1rKDys3ndLelZW1 +3T2/I/iFER5rsm5Ui1Gqh8CxhgmurZji5Bkal3jwWOaRvFqJbjYofbjVf87+ +BjrvlODYV7TlRns+M+wpDcOG+yT+TWWEoOoNS+0TGhwAZ3i0wCeWNEoFcyEm +dRFRi9iROgA95zObGLS6CQAMfVBBwYaPdxg+hqq/vGA9NKxhotKN4Vtud9Pq +g0yqtb03aBu0yCcG2FWIlaQt4pBUdoUBwD8BaUNOavrlloHZqrqbJFcz2emo +WJM25KbtvthM9Wls2vapYWNv0DRooU9MzdhHiJXmW8QdqewJA4B/DBjS3tG/ +rq1UiMqz4seNePGtXbnlQquXt2lYQyWtAoTu1QGzajXYzBu0DVrkE3zsIcRK +ai3iglQ2hQEAAAAAAAAAAAAAAAAAAAAAAAAAAACAXYN2lSQtnxcw0XXK4j33 +xdY+98CsNQCgAmQdAAw5JLWZB/8UokqkNiN4XFi+wJ6sAQAVIOsAYOiBKXoV +6ommuCw+YGkpjT1ubW8NAKgAWQfYB5icGxftXNHZj/jezmXpFOq9smGNChzy +NoekcovBzzpgqIM05R/99UGPuR6LIfzCjNWhr39UyEClUUnNiQ2RYUGTXnaZ +vjSzXvU2PCosy+YVtZFsG8eGTg3y5tMLp0Zod1ozLxVPVm/V0fjZ4x2eHeUa +GHP4kf4W2Vh3BW9/QTutly5NHWiNNRxY8Da+i4ZUYlCSSpIqFmJJd6NmR6eZ +mawDAB3ylt9WfZZBYbaDSZ808m+udndkoAq2tP7ETxca+1Jb0Xp24Stu2lI1 +vfdTI7691IGb36zo1B6bn7000MFFfxdQMqm49P6VvHLPjVZE1nFrzwdjR/ru +rNL0bExSn5d9tVXWN1z01FeJqFkkcKCF1kxhxduELhoqiUFRKrEfLMSC7kbH +DmNZBwADoO3nI/xjSkxKsBFAuwo20WFlYs3CirRy84w5e7U1e7DO/IgZ0ari +n/ahU42s8fTG1HOJ0wyrzhFKJTDScvlSs2aIEd+JdXN+v1DYb5wX6enm6dXH +JO+gTRUUi9sSOJCGNUVrzoq4UnyHsuNtIhepGAqJQVUqmR8sg3Z3o2eHoawD +AD0U/OMhExYZVAdFuytOJIQHhnyTtDbinSkurv7RvIFCArS7Nqk1JSq8lbYk +PLVyoIga1vl72IR5eR1GvYVFnbKGkwnplcJak4qoBFLNNFlF982oiTONS0HQ +Fqb+1sSBlFE0Hnl7Hv4zVSxnhQoTF3E/MehKxfeDpWrV31LtbqxkHQDo012y +0H3ajzWGqY91XAh6yTVONZ2SN2V94ugw+2Sz5iqdtGvLhU1PpCZTMEJriq7b +J7euCPV8brhr1EDRNMmD73y8vi43mnqxphOpy0w4UCXBrdaNL5VcmOpbQcFX +c9YUUi6PTdOBVCEZJdjMiv5vcVzE+cSgK5XADxapVdLrbvTtUAXOTQBFBFdm +uUw/2mSUYfqlZETFC1xe0y0sk3RtWf0+v5GO84tNrteJranARCXrPMaE5LRp +ehlSnTzVfXGJ0XOoLOnsqD6ccLhGNWHEG4LwpZppMtp1fdvqA5V0bm/Tc6AZ +5PxTn78bomLmhFGjfQPU/5wbW6Q//rGcFfgu4nxi0JVKnio27W707ZiBStYB +gD6i6+Fufj/XGS0Z6Kdlz+3l472/f6C5fCebdioEZRev1pn2JGJr/fTc+sLn +7XPtmt9JKzf7TIw1rsvNjs679xLf9J3sq2aSy/Cnn/fwmbXyjq6H4kslE4b1 +VvF2HLgrotcj6TmQKiQzWDazgtBFnE8MelLNpootuxt9O1SB6yaAIkh1kp9X +nHFqqtJy8i51MWlZbVpg4LaH2rVm6cMttG8l41nDJM11bf21cZCafR9+ObA4 +ILqxyDOAxzeaXbKlUwdOtW4CqcSmkMdnU9JLu9Tlw9GuijPn+dQev6LnQKqQ +jBLseZvERZxPDDpSLU0VAoN0uxt9O1SBcxNAFemjrf4Bxvda+9LSYezc9dt3 +p6X8sHLTKe1dUFnb3fM7gl8Y4bEm60a1GKV6CBxrmODaiilOnqFxiQePZR7J +q5XoZl/Sh1v95+xvMHnrgh2dA+AMQURS8U0p2nKjPZ8Z9pSGYcN9Ev+mON7Q +ciBlyEYJdrxN6qIhkBhUpVqRKvgG6Xc3unYoA+cmgDKooGDDxzsMH/vUv5y3 +HhrWMFHpxvAtt7txct6udCpJpbIrjBE45G2Qaggz3Y2VrAMAI6QNOanpl1sG +5nPqtEyuZrJrU7EmbchN232xmfB5WXvRqTQrlT1hzMEdb4NUfZjqbuxkHQAY +gSHtHf3ryEqFqDwrftyIF9/alVsutPoFbxrWUEmrADGzSmAPOs1JZVMYs3DB +2yDVQrWDmMMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYMegXSVJy+cFTHSdsnjP +fTHsOMNVII4AAAwhJLWZB/8UokqkNiN4XBi8Q8lVII4AAAwlMEWvQj3JFpfF +BywtxdkiFOACEEdgKILJObMEwCGp3EJ8b+eydAqlZpmDQ6HkkNTBjyMA0AFp +yj/664Mecz0KQ/iFGatDX/+o0PqyoVhv1dH42eMdnh3lGhhz+JFmO2VUWJbN +K2rD296LPalKSc2JDZFhQZNedpm+NLMeYU4nvhMYQN58euHUCO0mb+bV4mHa +ap3s7gre/oJ2a1/JhKwjxZKsw9NEnGPm4kit1cR5YgVMJDDAeeQtv636LIPC +3AmTPmnk31zt7shASevev5JX7rnRisg6bu35YOxI351V2qTuvZ8a8e2lDtwO +w4pUaf2Jny40Iqpy0mcXvuKmrWLDgE5iJ1iHnJ+9NNDBRX8DUjK1uBC0us+1 +kvq87Kutsr4Ro6e+SmTpCQqyjhwLsg4XwiabiyPFVhPmiTUwkcAA50Hbz0f4 +x5SYVCgjgHZJa3xkLZcvNWs6ifhOrJvz+4VC7XdYZ37EjGhVvU27kKpEZWLN +Go20cvOMOXu1BXis1knmBCuQNZ7emHoucZphwTtCtQQQtFrWyIv0dPP06mOS +d9CmCtN6qToUrTkr4krxvQBZZw7aWYcPUZPNxZFyq4l0WgEzCQxwHQX/eMiE +RQbFM9HuihMJ4YEh3yStjXhniourfzRvoCoA7a5Hak1N982oiTP1Kwdgnb+H +TZiX12GUhSxLRYW30paEp1YO1FdjSCe+EyyVKms4mZBeKaw1KcZKoJZ2qylD +Ug0Bso6qVMpZx2yO0c5hunnCYAIDQ5TukoXu036sMcxXrONC0Euucao5irwp +6xNHh9knmzUX06RdTy5seiI1SR0Sa6pvBQVfzVlTaFCbWfLgOx+vr8uN5nJs +SlV03T65dUWo53PDXaMG6qkxo5PACRZJReoyEw5USXALheOrpd9qqpCcmyDr +KFmjk3UWNZkQeq02kyc2T2BgSCK4Mstl+tEmo3zSL90iKl7g8ppuGZmk68nq +9/mNdJxfbLIOQGxNiXZd37b6QKXRQwBIdfJU98UlRg+2sixVqSp3U7LOY0xI +ThvGpE4CJ1ggtaP6cMLhGtX0E69r46ul32ozyPmnPn83RMXMCaNG+wao/zk3 +tkh/UISsoypVSTXrLGoyIbRzGEenBa22MIEHUk4Po5QDOIfoerib38/Gi8T6 +adNze/l47+8faC7WyaaFCkHZxat1pulPZA3rreLtOHBXZPIDaeVmn4mxxsWr +2ZSqpefWFz5vn2vHmNNJ6AT6Uu/eS3zTd7Kvmkkuw59+3sNn1so7utEDXy39 +VlOF5LoJso6itX6oZJ1FTSaEbqvxdNJvtcUJDAxFkOokP68443ir0mbyLnUd +aFltWmDgtofalWXpwy20b/XiW0Men01JL+1SF8ZGuyrOnOfrHlIT3VjkGcDj +G83a2JKKSZrr2voL3SA1+z78cmDVwnqdJE6wRKoOnELhBGrpt5oqJOcmyDqz +1uhmnUVNJoR6qy3PEwYTGBiSSB9t9Q8wvkHalzYOY+eu3747LeWHlZtOae95 +ytrunt8R/MIIjzVZN6rFKNVD4FhTtOVGez4z7CkNw4b7JP6t6zHSh1v95+xv +MHmbgR2pmODaiilOnqFxiQePZR7Jq5XoJoDW6iR1giVSB8Dp2kRq6baaMiTn +Jsg6c9boZ50FTSaBaqutyBMGExgYmqCCgg0f7zB8iFT/ctt66FnDRKUbw7fc +7sZJcruSyqpO2gZJ1NpAm3nsKpTKIZF1zKqyq1YrzTQcGLJIG3JS0y+3DEyS +1GmTXM1kElK0Jm3ITdt9sZnwOVd7kcqyTpoGzahlXBsl7CWUStajyVTWMRxH +e2m10nyAgCEMhrR39K8aKxWi8qz4cSNefGtXbrnQ6sVdetZQSasAMTM1sgep +rOqkbZBULePaaGAPoVQOkayzSRztodVKagECAAAAAAAAAAAAAAAAAAAAAAAA +AADgGGhXSdLyeQETXacs3nNfbO09UWatAdZjz/GFbAEAgABJbebBP4WoEqnN +CB4XRvA2J0vWAOux5/hCtgAAQASm6FWoJ6zisviApaU4m1yyZw2wHnuOL2QL +AHAHTM7O0ob43s5l6RTKj7JhbYjBSojtOb6QLQDABkhT/tFfH/SYG48whF+Y +sTr09Y8KrS7rqdob+Wj87PEOz45yDYw5/EizTTEqLMvmFbXh7JmFdVfw9he0 +03rpT1JzYkNkWNCkl12mL82s138B3Zw1ag4htm8F8ubTC6dGaHcSI3YITVgI +MY5/GI0vfgpZak2Lof+ttQYAgMXIW35b9VkGhTkhJn3SyL+52t2RgZLTvX8l +r9xzoxWRddza88HYkb47q7RDe+/91IhvL3UYDASYpD4v+2qrrG9w66mvElEb +JKT1J3660IioioOfXfiK20CtGXPWKDqE0L41yPnZSwMdXPR3ucRzCF2rbISY +wD+MxZcwhSyypsHU/9ZYAwDAYtD28xH+MSUmlb8IoF1yGh9Zy+VLzZqhRHwn +1s35/UKh9jusMz9iRrSqHqb2jxt5kZ5unl59TPIO2lRBsfAlKhNrVqaklZtn +zNmrqUZjzhplhxDYtwZZ4+mNqecSpxlWVTNxCA6K1pwVcaX4otkJMaF/GIov +UQpZmC0aJcb+t8YaAACWo+AfD5mwyKAoJdpdcSIhPDDkm6S1Ee9McXH1j+YN +7F9Pe+Aitaam+2bUxJn62/Fjnb+HTZiX10H1lgf5IVDhrbQl4amVEhILetB1 +CF37JNZkDScT0iuFtSYVPyk4hKQgBcshNvUPs/FVYZJCFlkj9D8AAINOd8lC +92k/1hj2aqzjQtBLrnGqqa28KesTR4fZJ5s1axmkA5dc2PREajLikFhTfSso ++GrOmkKD8smSB9/5eH1dTn2OSngIRdftk1tXhHo+N9w1ilrVM3oOMWOfjkOQ +usyEA1US3GrU5h1Ccm5iM8T4/mEuvv3f4qQQfWtk/gcAYLARXJnlMv1ok9Go +ql9aRVS8wOU13c0UkoFLVr/Pb6Tj/GKTXk1sTYl2Xd+2+kClUcFmpDp5qvvi +EhoP7JIcQqmq/VKyzmNMSE4bhdGLrkNI7NNxSEf14YTDNar5O97YSOgQOf/U +5++GqJg5YdRo3wD1P+fGFumP0yyHGMc/jMYXP4XoWiP3PxkDIdDDKAQAANBF +dD3cze9n41sl+p235/by8d7fP9AsyZBNqhWCsotX60wHCSJrWG8Vb8eBuyKT +H0grN/tMjDWuCE0GseB+em594fP2uXYKwwVdh5DZp+6Qu/cS3/Sd7Ktmksvw +p5/38Jm18o5ueDfvEJLrJjZDrMXQP8zFlzCFaFoz438AAAYbpDrJzyvOeJhQ +dd7Ju9TFm2W1aYGB2x5q1/elD7fQvlGObw15fDYlvbRLXbga7ao4c56vewhb +dGORZwCPT+ORKLxDYJLmurb+qi9Izb4Pv6S2pkfdIZbZJ7KmA6caNQWHkJyb +2AoxsX+YiS9pCllgTQOe/wEAGHSkj7b6BxjfRu7rvA5j567fvjst5YeVm05p +7zzL2u6e3xH8wgiPNVk3qsUo1UPgWFO05UZ7PjPsKQ3Dhvsk/q0bV6QPt/rP +2d9A550enENggmsrpjh5hsYlHjyWeSSvVkJxbk3VIZbax7c2AM7YSMEhJOcm +lkJM7B9m4kuaQrStDQDnJgCwD1BBwYaPdxg+HKu/6GE99KxhotKN4Vtud9Na +pmFS8JBwiAF21SLW48u0NQAAbIW0ISc1/XLLwMRa3XmTq5kcCihakzbkpu2+ +2Ez3VSFmBQ8Bh5iasY8W2UV8Gc4WAABsB4a0d/TfG1AqROVZ8eNGvPjWrtxy +odWvwdOzhkpaBQjdCwRmBWvgskPwsYcW2UF8bZItAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAADBIoF0lScvnBUx0nbJ4z33xUN5UjtmW2rM1AAAAjiOp +zTz4pxBVIrUZwePCCHaqGBIw21LbW8NEFdkXG/T3wDD9BBdZ3YHPNkPlKgAA +uAym6FWop+nisviApaU09hrnGsy2dDCsyRqzvk65o78jh+knpsjq9n8YR2fT +eACwZzA5Z9YROCSVQ4jv7VyWTqEKPHOwFUdmW2pba+Ly/352yGBnRdNPjJA3 +HP4o+rqQ+A8AwGZgvVVH42ePd3h2lGtgzOFHBJVwkKb8o78+6DHX/zGEX5ix +OvT1jwqtLupNIAwVlmXzitpItgplQapSUnNiQ2RY0KSXXaYvzaxHmNNJLTq2 +lkqCvPn0wqkRhoV6uyt4+wvard11gQMpZ0lLTf1vjTUNFKMguf8/728zqNFs ++okBikZe+LJrDHQQAKBN71/JK/fcaEVkHbf2fDB2pO/OKtONxuQtv636LIPC +dA6TPmnk31zt7kizyAI9Yb33UyO+vdSB24dZkSqtP/HThcY+eYrWswtfcdNW +vmNAJ5Xo2FoqGXJ+9tJABxe9jbsxSX1e9tXWvqk42lNfJbL0BMWBlLOopQT+ +t85v1KMgyP8w2DCHTD/RQ8HP+iTqsgBWFgAWkLVcvtSsyUzxnVg35/cLjS/g +0fbzEf4xlMsGkBb1ZkYY1pkfMSNaVVXbLqQqUZlYs6Ikrdw8Y85ebSU/q3VS +iI6tpZLKazy9MfVc4rSBQrGyRl6kp5unVx+TvIM2kd1CV7TmrIgrxXcBB1KO +Rkv1IfC/hdY0v6UeBfHd+KlvG1RoNv1ET2zLr/M/u9QBpyaAbbpvRk2caVzp +p2/udDxkwiKDQtxod8WJhPDAkG+S1ka8M8XF1T+aN1AFh/ZAQWoNXxjW+XvY +hHl5xr2GZamo8FbakvBUvRUShnTiO2FQpJLYkTWcTEivFNbSK2Kug6TmFIdS +zsJDmPrfUmv0oiB99L/TphhUJTb9ZOCgT3IWLrlApVw0ANgSTFDw1Zw1hV3G +qdhdstB92o81hmMi1nEh6CXXONU8Ut6U9Ymjw+yTzZqFA9KBQi5seiI1SXYS +awTCJA++8/H6utxoesmmVEXX7ZNbV4R6PjfcNWqgxiszOgmcMBhSCe0gdZkJ +B6okSlkd8+cmDqUcCTT9b5E1ulGQ1f7k5xGp/xyg6Se6I7adX7Io5wnlCpMA +YBPQruvbVh+oxLnXLrgyy2X60SajLqRfoE1UvMDlNd3KOclAIavf5zfScX6x +SRcitkYgDKlOnuq+2PjRVpalKlXvjJSs8xgTolsjYUYnSXRsLZXATkf14YTD +NaqZO91zk5x/6vN3Q1TMnDBqtG+A+p9zY4v0zwMcSjky6PnfAmv0oyCv3/e6 +28fXRWSfaPV1/P7Z//m1BU5NAJtgvVW8HQfuinB7ieh6uJvfz3VGa0n6PaXn +9vLx3rplAbJJrEJQdvFqnekQS2SNUJi0crPPxNg7YvuRqqXn1hc+b5/TLoQw +oZM0OraWim/n7r3EN30n+6qZ5DL86ec9fGatvNNj+lMSSK6bOJRyZNDzP31r +FkRBVpvm576opJvsk36wzvyoT081Q4krgEWQx2dT0ku71BMktKvizHm+wVM7 +SHWSn1eccZ9U9ZTJu/5W/WVfdgcGbnuoXUyXPtxC+8Y0vjUSYaIbizwDeHyj +nsOWVEzSXNfWXzQPqdn34ZcDCzXW6zQTHVtLJRamQd6w/98eDK/pcSjl6B6C +2P+WCdZANQpI1U4/n/X6j1qYfqI5XMHScJ7xpSsADB6Kttxoz2eGPaVh2HCf +xL+NBj/po63+AcY34ft6isPYueu3705L+WHlplPa27yytrvndwS/MMJjTdaN +ajHl9QAca6TCpA+3+s/Z32Dyxgk7UjHBtRVTnDxD4xIPHss8klcr0c2ErdVJ +ITq2lopvZwBbnJu4lHL0DkHsf0usDUA1Cr331k4NOdmMkn2iRnj9y4+PPLbs +lTcAGCxQQcGGj3cYTq30Vxish541TFS6MXzLbby9VuxKKqs66RkkkWoDYeax +qzgqzfiHmUMMijVh4advfGPgVtNPVIhKYj88QPmZUABgD2lDTmr65ZaBZFX3 +lORqJvsdRWvShty03RebCfuNvUhlWScdg2akMi6MEvYSR6X5UDJwiMGxhlQl +h32t/0AGzicqem6t/mBvLZyaAG6AIe0d/QvlSoWoPCt+3IgX39qVWy60ekma +njVU0ipAzExf7UEqqzoZlMq4MBrYQxyV1EJp5SEGxxpSvXfh9vu9pJ+oEJet +e/+nwZ6LAAAAAP9A0I6rmxIu6j97YfqJGnF5wvtJjwZzo14AAADgHwnWfe/Y +4VtdKNkn/UgebJuf+BBOTQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +APYH2lWStHxewETXKYv33Bfbtv7XYB7LHhjy7R3aDRzarQOAQUXacDG7grgK +gimS2syDfwpRJVKbETwujGDLTIbAOxYmqsi+2DA0X4IYTN+ywtBu4NBuHQAM +Ilj3nZSvTzbS2r4KU/Qq1KcycVl8wFK8spXMgX8sWWPW1yl36O1+yQ0G07es +MLQbOLRbBwCDh6z+0Gf/LadRs0wf8b2dy9KrB+f6xfhY4vL/fnbIRpsVY3L2 +T3qD6VtWGNoNHNqtAwCbI6nc9sH/3JeY/0NTsO4K3v6CdgZ34EQFRUkx61IO +HUxZG5N8XWCww4npsST3/+f9bZXk0pGm/KO/PuihfKbBEH5hxurQ1z8qpFUq +zkJQYVk2r6gNp04NNd/Sax3WW3U0fvZ4h2dHuQbGHH6EX2KdWQa3gUpJzYkN +kWFBk152mb40s97mu4Va2zoAAAiRVu0I/siSRXFMUp+XfbW177IF7amvEjHR +C9H280u83zvd0mdL0XzqXe+IC+0o6bEE+R8G76wiHoLkLb+t+iyDztwVkz5p +5N9c7e5Is4yp5fTeT4349lKHgf+o+ZZu63r/Sl6550YrIuu4teeDsSN9yTzH +IIPXQGn9iZ8uNPY1StF6duErbl+Y1F6wAZa3DgAAEtAnZ+ZMXXmX9oqerJEX +6enm6dXHJO+gTaY1lS1A0ZQZ4Dz9UH+1S3lDhp9z0HFVDWriY4nvxk99O6eN +YFbdd6qL8I+hXxJV+vC/ZktsK1pzVsSV0q+2igPWmR8xI7pIqGsFNd/Sbp2s +5fKlZs3ZSHwn1s35/UIh8V9zsIFKVCbWLMVKKzfPmLO3jnC9l/3WAQBAiuT+ +tz7TthFtSI923zudkrT/GO/Azpj/s/DT+CKBdctACD8/LTL4jWWH9ietjwzx +8In4pSRn7+a4+f7ub6wpEHQVz3caqxswu66FvuS8qIT0VrL00f9Om/L9A/xV +PQX/eMiERcW4AxDaXXEiITww5JuktRHvTHFx9Y/mDRSZpnRuIqnobXAcCg7E +On8PmzAvr4OWby1unZrum1ETZxoXHTe0z90GosJbaUvCU8kWe1lvHQAA5Ihu +LBg37SfcEpNo55X1sz/Y+7eq08tqdk95+a2zT0w2tKeLuHyVu1PomVZUibXl +hDi4RP3RiSrl9el+r76XX3spZLST7mwkKp4/dvTsK6RnCFntT34ekQSPQnWX +LHSf9mMNwfj7/7P35mFNnN3/f/2rV7V91FqqYKkFQVQQVOojNixVu1Dh6ULr +z6XQ30VrtShoqVuLtk8/+vHrgmwtVr/gUhWpov5q5RLFWqwIImhFEStKWYUA +QsgCIZkkM/mRkIQsM5OZZGAyeF5/eRHnzPvc59z33HPPzH0wwYWgF93iNPNd +ZXPOh85O80606BZfmLo2UW5A2f1vfb2/qqA1wbbZO82vwsKV89cWichGU646 +qBLdOrFtRajXc8PdovMsSgPpYd07AADIEReFTfD/vw04T3O7bq6e7BXbt2Sv +aj76mmvQ8RYKK+dK/slP3w4xY0FssW4g7KncMNltqfb6Iyn5aMKUzX/3zm6x +x2d54/997GHxR85jw/X3TeKrC8Zau29SNux71f2Da/hrM8I/57rOOtpMpFlb +Yzq1VrvIJSlZ5PqK4fEEybWp37s5k0eP8eOZeWcC9QZEapJneCwld5Ux79So +6Nr2+ANV+G9CDAUH1ZrP30rXe44NMV/udRDvrPQRAAA03fpDd3+8hfnum9ET +xkcUay8UaNv/N9f13wce4VzB6EJybcpqbDgS4GJ43vTo0KzxvGN80suhoi7d +34Po+iW5FuHu/xPhMwfjwa371vJJPoa1QWbum2g0oLxqi++U2Nu0HvrZ6B3W +U52988Ad659Zc9XBfnWf+b55roPAT9a9AwCAnJ6KeJ9Xk2ssX9gS5IeMHhV0 +TDNvlT/8v0HjZ6QRLa/QO5/ZtWmT0bWpGXmcu8gnTLPg1zscnAmftjSvnXwR +Eane5e+7wfhps0p449Sv5SLNFQ2pSfL3jiMcMjSD27Td/2g8773EBQZuN5Ta +lD/YysC1iUYDSq4v8eJlk1+G+85qp3fIo7MpGWV9pUZRUeWZ83zCN/W46CAm +a6lvR7SXI6R233tf2LOmNxDeAQBAGRX/WLC/9gJhhrL1zGfTRo+c+Oby73dt +nu3ss42BKskY0nI1Lfj5Uf47/qgT1OT/1/u50bzdlxs77ubEuP1rQnR2uRjp +LExcuT710M9pG2OTijqtdfeeu+tmhJxoMbqAiYqivLyiCrWrI/KH2wJ4hA/8 +ewc3p3ELNuxIS0/5fs3mk/pn6Yr2O+d3Bj8/wnNtzvUaKeGl0frgRr0B5Q+2 +Bczf30jhrtQu71TteTFezwx7Ssew4b6J/xC/RM5BBzHh1RXTXbxC4xIPHss6 +kl8nI745ZMc7AACo01P5dVDUdbK3acXXIt2nbHTIV2HFRR+99jWxMlRYuPGD +nQS/Gy8KDSzkDYhJyjZFbL1Ff/MlB/FOPdQdHCDvAAAgp/uv+AWJRC+RqzWv +Gy/38FxV7oir6Uh1cthX5B9YyhtzUzMut+JMvrWDG95qJtOQNqC8MS897WKL +jculDuCdeqg7OIDeAQBARs+9/xORWIV3ccJ6GkpyNvNGPzv5uz+FjrecjtTs +XbzjntX7OQzpECBm01qVpCJn9cQRL7yxO69CPHCeWW1AVNYmNNdG8xTseace +6g4OgncAABCjas/f8NXvVl47cDhQwZXNCRcJn3YDAAAAHAcV3Tj482069ZvY +Buu6e+zwTRHHrqcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADA +kwYqKk1aHs6b4jZ96Z57UsZe3B8gsw4Is55COAASID0GFnnjxdOV9D5fsuEQ +gBKyuqyDf4lRNVKXGTwxzHrxVXbNOiDMegrhAEiA9BhIsK7bKV+daKKz55cN +hwBUwVQ9Ku01X1q+mreMoGivw5h1QJj1FMIBkADpMYAoGg598r8VtLZqteEQ +czAl3HJZQXp31+cZNfZXHhkcsySwFWtmPYVwDDJc0dnHkEkPB0JWtf3d/7ln +Vp9JVnd623dJGQd+2v5l9Nenze+PcA9RI80FR3+9320tnzCEX5QZH/rq+0Wk +tfmoIas9vjEqLGjqS66zlmU1aPacRsXlp7OL20mK5VDSifVUH109b5LTs6Pd +Alcdfohfn9wWlC2nFs+ILNXVHCFWi3VVZu8v7LBtN0BUWJy0an3KoYMp61Yl +XxMabdxkl9l+2Ii1jgFsQJKgQzjMGbCux27akMnianpwFXn1zuD3zZYzVc3H +5vuvv6vZwBvrvPQfv//3Rpe1Q5Stv335SSaF6zsmf9zEvxHv4Wylbiwl7Q3H +f7zQ1NstVG1nF7/s/pmuGkbPvdTIby4JcCNKUWfP38lr9lxvQxSCm3veHTfS +b1c1M7UWlPzTywKdXBeX9tfDwlOLyRryT19p650SoN0N1RKauYl2nP/Y551T +rb2HqVpOvu0TeaEDZcBsvxNsxFp/7gFsQMKgQzgsGLiux2bakMLR9OAu6OMz +82esuWO6PKdszJw1/rUfq3vTSNn08+v//tak7C3OIb3tGxmwqpSsAKEx8gf/ +a7WmOSXxCqnutl9etWX2/L31uvs7rLMgcnZMsdhifkZVp6L18qUWXeZJb8e6 +j/9PkdhesRqzTac2pZ5LnOlh3Ecs1SqasqO83L28e5nqE7SZbtFGVXMWb/ys +Q4+0k8LeUPqPD/pFUw/cTrN6WIq1lgFtQKKgsx8OVVvuirgy/BYfal2PYZ1a +KKaNFSOcTA8uI7v3je/M7eaVA9HOy/F+Yya899+92+I3Hv7b9A1Gy0NU/F9C +Ji8pMW4dtKvyeEJEYMjXSesi35ru6hYQk11vOIJ24pFa671Bv5n+cURqVf8F +FOv8PWxyeL7AvKoPTZ1aum5ET5lDWPmbhlRF44mEjCpx3U/+pn2ESC0xCL8g +PSr4tc8P7U/aEBXi6Rv5c2nu3i1xCwM8XltbKBSVLHQZZ7iYiq6Gvjh+SSlj +z1JZjDVjDchw0Ac8HCQF4odq12MzbYZQenAayfVFE2f+WGfZyj2VO4Imjxru +FJxwoU1p5ZCu0sUeM3+oNTWCCS4EvegWp5mXKJtzPnR2mneiRXdfSpp4SnHz +Y7nFKENoTSW6dWLbilCv54a7RecZijXJ7n/r6/1Vhdlkg65Oza/CwpXz1xaJ +cIc9OlKR+qyEA9UytaLeoo8QqCVDWvGlh0vomTZUjbXnhji5Rv/RiaqVDRn+ +E94pqLsUMsbFkN+SkoXjxsz7k7GFe9ZizWgD2hF0PAY4HCSDz1DteuymzZBJ +D04jLgqb4P9/G8weCiKNP3/y7g/3u9qvbH9n3OgZ35os4FkeIvxzruuso81m +K6LaotiptdrbYEnJItdX9IvSZImnaNjnP9J5YYnFHSqxNQ2YpHS959iQ3HZd +viA1yTM8lprPP+jqVKOia9vjD1ThvwlBR6qg5nDC4VrN5Auvj+CrJaOncsNk +t74jJCUfTZiyWbPqij0+yxv/72MPiz9yHhuun4mJry4YS3UmpuSf/PTtEDMW +xBYb90KWYs10A9oadHwGOhxzJo8e48dzoHAMeNdjOW2GSnpwGknJh+7+htVi +HT2VG/1mJddoIoOJrnw60TOmXEp2iORahLv/T2ZGTOLbfWv5JJ/v7utu/ckm +RSph+cUr9ZaRJ7bWR/fNz3zfPNehO05etcV3Suxts7fc6enEeqqzdx64Q/x5 +MXWpd+4mvu43zU/LVNfhT4/y9J275rahg+OrJYMk27MaG44EuBhWsB8dmjWe +d4zP2JNUdmLNeAPaHHRcBjgcJBPjodn1WE+boZIenKanIt7n1b7LUD9ITcq/ +p67om2Mg/+yeHZD4D0J2CFKT5O8dZx5jTXyn7dYeqahLDwzc/kC/aCt/sJX2 +g048a5ispb4d0eYJUrvvvS/6FxYk15d48bLNY0xHJ/LobEpGWV/dXFRUeeY8 +n/KbesSOqzWPO/f/29Ns/oavlgzzbN9klO3NyOPcRT5hmiUENdp2Jnza0rx2 +5sr/shVrA8w0ILNBH+BwkAw+Q7HrManTAL20GSrpwWlU/GPB/pv+NvtWCeu+ +l7ny/1nxPz9k7t319caD90y+SMA5RP5wWwDP/Nlgb3ydxi3YsCMtPeX7NZtP +6h8nKtrvnN8Z/PwIz7U512uklMOAYw0TXl0x3cUrNC7x4LGsI/l1MoNK+YNt +AfP3N1p8vkBVp6o9L8brmWFP6Rg23Nfk6kxfaj84fYRILREY0nI1Lfj5Uf47 +/qgT1OT/1/u50bzdlxs77ubEuP1rQnR2uRjpLExcuT710M9pG2OTijoZff2U +nVj3w0AD4p/C1qAPfDjIBp+h1vWY1dkPvbQZMunBaXoqvw6Kuk7rBUScQ1Bh +4cYPdpq+6Gh8X2w/NKxhkrJNEVtvdeHceA+8TtoGSdQ6Jg4Va7WNDch40FnD +ocLBatdjMG2GTnpwmu6/4hckmr9EbsMh8sbc1IzLrf0TI218zZcLbYayNXlj +XnraxRbC9zsHWCdNg9bUOiaOEmu1zQ3IeNDZxFHCwXLXYzBthlR6cJiee/8n +IrGK1sWJ4BAM6RD0rUGrVZKKnNUTR7zwxu68CrHda0o0rKGyNiFiZQo9YDpp +G6Si1jFxhFirbWxAxoPOPo4QDla7HoNpMwTTg7Oo2vM3fPU7rSdwNhwCAAAA +AHRARTcO/nyb1puRNhwCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAFwHFZUmLQ/nTXGbvnTPPemT+FY9tADAIpB+AICHrC7r4F9iVI3UZQZP +DBuKey5aA1oAYBFIPwDABVP1qLRzNWn5at6yMsaqn3MHaAGARSD9AI6AKdm5 +q5fe3fV5Rg2tfQmHGIPfAmzF2gY4JJWjQAcEBh2kueDor/e7rfVtDOEXZcaH +vvp+Ea2SZKQoW04tnhGpL/uCistPZxe341R8wboqs/cXdhDuDEnJBayn+ujq +eZOcnh3tFrjq8EM6ZZ8JkNUe3xgVFjT1JddZy7IaNNsqE7tACVRYnLRqfcqh +gynrViVfExptqGitBSjCQqzxm916Q3EgLWlJhfQDADooW3/78pNMCtMhTP64 +iX8j3sOZZrlMsnPzTy8LdHI1LknWcy818ptLApM+gMka8k9faVP09p3uhmqJ +Rf+g6ELP38lr9lxvQxSCm3veHTfSb1e1nXv0yxuO/3ihqdeIqu3s4pfdP/ur +m9AFaqAd5z/2eedUa++hqpaTb/tEXujoGx6stQBFWIk1cbOTNRQH0pKmVEg/ +AKBBbzpGBqwqpVr7UP7gf2mXciZE0XRqU+q5xJkeJuUysc6CyNkxxWKs/79l +R3m5e3n3MtUnaLNp9TQ1dRcUrZcvteiGA+ntWPfx/ykS2+cAqpDqFpLkVVtm +z99bryBwgSKq5ize+FmHHmlnvcrGTP/xQb9oKlpbawGqclmJNVmzEzYUB9KS +rtQnPv0AgA4q/i8hk5eUGHcstKvyeEJEYMjXSesi35ru6hYQk91ffZn2IEBs +TdF4IiGjSlz3k7/pINDbtX4PmxyeL6DYtei6oKXrRvSUOeYVrG3xQvur+Gb6 +xxGpVTLrLiD8gvSo4Nc+P7Q/aUNUiKdv5M+luXu3xC0M8HhtbaFQVLLQZZxh +yBJdDX1x/JJSxh49sxhrPRbNTtBQHEpLSD8AGAi6Shd7zPyh1rSTYIILQS+6 +xWkmXsrmnA+dneadaNHdxpMOAkpx82O5RX/At4bUZyUcqJapFfUWg4Badv9b +X++vKihOz+i6oPlVWLhy/toiEe7Vj44XvahEt05sWxHq9dxwt+i8dv05iF2Q +Vnzp4RJ6pg1VY+25IU6u0X90omplQ4b/hHcK6i6FjHExDAeSkoXjxsz7k7GH +KKzF2vArTrPjNxSH0hLSDwAGAuGfc11nHW02W0DWVkxOrdUuQEhKFrm+ol/K +JhsEFA37/Ec6LyyxWNzAsSaoOZxwuFYz9cMbBJCa5BkeS6nO2Oi6oEZF17bH +H6jCfxRNx4vu/l8xSel6z7Ehue2YNRd6KjdMduv7RVLy0YQpm//une9ij8/y +xv/72MPij5zHhusnruKrC8ZSnbgq+Sc/fTvEjAWxxcbjH0uxJm92/IbiUFpC ++qmppR8A0EJyLcLd/6d6s8UF447QfWv5JJ/v7usWDMgmqCph+cUr9ZZ9ztLa +nbuJr/tN89My1XX406M8feeuuW3oa/KqLb5TYm9LB8IFrKc6e+eBO8Q1G6l7 +cV9m/Hv3zc983zzXgVlzgWRwyGpsOBLgYljwf3Ro1njeMT5jD57ZibWVZsdv +KA6lJaQfAAwESE2Sv3eceRJrOsK03f9oOoKiLj0wcPsD/eq2/MFW2g+dia2p +NY9c9//b02yCKrm+xIuXTbVX0HEBeXQ2JaNMpH35CBVVnjnPp/yqFJ5BTNZS +345oxwOkdt97X/QvqhC7YD44bDIaHJqRx7mLfMI0Ky5qtO1M+LSlee2opQkb +YS/WJM2O31AcSktIPwAYEOQPtwXwzJ/K9nYEp3ELNuxIS0/5fs3mk/rnror2 +O+d3Bj8/wnNtzvUaKeWsJbDWB84gIH+wLWD+/kbKn2hQdUHVnhfj9cywp3QM +G+6b+A/1t3hxDGLCqyumu3iFxiUePJZ1JL9OZpjtErmAIS1X04KfH+W/4486 +QU3+f72fG83bfbmx425OjNu/JkRnl4uRzsLEletTD/2ctjE2qaiT0VkrO7Em +bXaihuJQWkL6AcCAgAoLN36w0/S9UOMFBPuhZw2TlG2K2Hqri8ZK9cC7QM+g +DS4MDhyKNUg1ZSikHwDQRd6Ym5pxubV/5qftCMk1TA4CFK3JG/PS0y62UH25 +1ui4AXWBjkFbXRgcOBRrkGrEEEk/AKALhnQI+lau1SpJRc7qiSNeeGN3XoXY +7pt6etZQWZsQsXG+N2Au0DNojwuDA4diDVLpGnT89AMAAAAAAAAAAAAAAAAA +AAAAAAAAAAAABwUVlSYtD+dNcZu+dM89KTx9BxwRyFIAeMKQ1WUd/EuMqpG6 +zOCJYQVCtvUAgCWQpQDwpIGpelTaaai0fDVvWRlUUgAcEMjSJwxMyZl7Yw5J +5SjSu7s+z6BQnXZw4VDcOSSVuzhmlgIUQJoLjv56v9taJ8EQflFmfOir7xfZ +X9QF66k+unreJKdnR7sFrjr8ULfxMiouP51d3E6ylR4LUtWy2uMbo8KCpr7k +OmtZVgPCnE78RmAAZcupxTMi9dvBWVdLCiosTlq1PuXQwZR1q5KvCY02rMO6 +KrP3F3bY93kptUaAFKUC3bhDlgKOjLL1ty8/yaQwqcDkj5v4N+I9nBkoft3z +d/KaPdfbEIXg5p53x43021Wt342l515q5DeXBLiZxIpUecPxHy809cpTtZ1d +/LK7vm4OAzqJG8E+lPzTywKdXI23KiVTSw7acf5jn3dOtfYeqmo5+bZP5IWO +vn6PyRryT19pU/T+l+6GaomtXZ9KI0CKUoJm3CFLAYemN6iRAatKLWqZEUC7 ++DU+itbLl1p0KS69Hes+3lAJWlNQuiBydoymwqdDSFWjCqlu2UVetWX2/L36 +Uj126yRrBDtQNJ3alHoucaZpaTxCtVZQNWfxxhtq+jRm+o8P+kVTe0HRlB3l +5e7l3ctUn6DNlSRFilVtuSviygiag0IjQIpSE0wv7pClgGOj4v8SMnmJSZlN +tKvyeEJEYMjXSesi35ru6hYQk91fP4B2byK1pqXrRvSUOcY1BrDO38Mmh+cL +zBKUZamo+Gb6xxGpVf0V3RjSid8ItkpVNJ5IyKgS11mUbSVQq1Yj/IL0qODX +Pj+0P2lDVIinb+TPpbl7t8QtDPB4bW2hUFSy0GWcYTgSXQ19kWotVAOqpiNv +hlN5Rwq/ESBFqVijG3fIUsDB6Spd7DHzh1rTbMMEF4JedIvTTF+UzTkfOjvN +O9Giuxkm7U1KcfNjuUVWkVjT/CosXDl/bZFJ8WbZ/W99vb+qMJvksClVJbp1 +YtuKUK/nhrtF91dwY0YnQSPYJBWpz0o4UC3DLSmOr1aDtOJLD5dQTUk5rD03 +xMk1+o9OVK1syPCf8E5B3aWQMS6Gfi4pWThuzLw/6U30KV6biBoBUtS6Nfpx +hywFHBzhn3NdZx1tNluGNS4WIylZ5PqK/iELWW9SNOzzH+m8sMRilYDYmhoV +Xdsef6DK7PEqUpM8w2Op+byHZalqTWGc0vWeY0Ny2zEmdRI0gg1SBTWHEw7X +amameL0eX60Gkjrdxx4Wf+Q8Nlw/IxVfXTCW6oxUyT/56dshGuZMHj3Gj6f9 +54LYYvyxjbgRIEWtWbMl7pClffRnqRGEWQoMIpJrEe7+P9Wb3aUbZ1T3reWT +fL67r1vKIpvpqYTlF6/UWyYvkTWspzp754E7EosD5FVbfKfEmpe5ZlOqnu6b +n/m+ea4DY04nYSPQl3rnbuLrftP8tEx1Hf70KE/fuWtuG66t+Go1kPT6rMaG +IwEuhpX8R4dmjecdw6v1TYL1+ybSRoAUtWLNprhDlgIODlKT5O8dZ54Kmoya +tltbMVpRlx4YuP2Bft1Z/mAr7ae3+NaQR2dTMspE2rdpUFHlmfN8w+s/kutL +vHjZ5rnFllRM1lLf3lcSB6nd994X/Wt69uskaQRbpBrAKSlOoFaDea/fZNTr +m5HHuYt8wjRLKWq07Uz4tKV57ZTLnvdh7dpkpREgRSlaU9OJO2Qp4OjIH24L +4Jk/3uzNKKdxCzbsSEtP+X7N5pP6J6KK9jvndwY/P8Jzbc71Ginl2ONYU7Xn +xXg9M+wpHcOG+yb+Y8h3+YNtAfP3N1p86MCOVEx4dcV0F6/QuMSDx7KO5NfJ +DHNDe3WSNoItUvvB6fVEajGk5Wpa8POj/Hf8USeoyf+v93OjebsvN3bczYlx ++9eE6OxyMdJZmLhyfeqhn9M2xiYVddKejpJemyg0AqQoBWt90Ig7ZCng6KDC +wo0f7DR9u9L4Ttx+6FnDJGWbIrbe6sJZPnAoqazqpG2QRK3j41BxV3MnRdWQ +pQDHkTfmpmZcbu2fQmkzKrmGyd5E0Zq8MS897WIL4VuqjiKVZZ00DVpT6/g4 +StzVrIeeQ1JpGuR+lgIDAYZ0CPqeqahVkoqc1RNHvPDG7rwKsd23xvSsobI2 +IWJl1uQIUlnVSdsgFbWOjyPEXc2dFGVb6oCoBQAAAAAAAAAAAAAAAAAAAAAA +AAAAAIABBBWVJi0P501xm750zz0pPMMGBhvIQAAALJDVZR38S4yqkbrM4Ilh +VHYZBwAmgQwEAMASTNWj0k5VpeWrecvKoB4BMMhABgIWYEpu3D9zRSenkd7d +9XkGhTKvzAFhBYwZ/AwEBhGkueDor/e7rfV5DOEXZcaHvvp+EQOlUWS1xzdG +hQVNfcl11rKsBs2H46i4/HR2cbvFXlrs6tShbDm1eEakfu8vhqRiPdVHV8+b +5PTsaLfAVYcf4tcfGAy1pKDC4qRV61MOHUxZtyr5mtBo5zesqzJ7f2GHvd9p +QlitMWCdBTIQcGCUrb99+UkmhYkHJn/cxL8R7+HMQBVpecPxHy80IZqC3WcX +v+yuLxPTcy818ptLAtxUY0Wn/tz808sCnVyN96VkQGrP38lr9lxvQxSCm3ve +HTfSb1c1M5vF0FRLDtpx/mOfd0619h6qajn5tk/khY6+sQGTNeSfvtKm6P0v +3Q3VEluHBwirVQaus0AGAo5Lb+AjA1aVWhQFI4B2FWmi0yqkuqUZedWW2fP3 +6gvJYJ0FkbNjNHUyHUOnFkXTqU2p5xJnmtZBs1uqovXypRbdWCC9Hes+3lBU +ejDVWkHVnMUbb6iM05jpPz7oF00FA0VTdpSXu5d3L1N9gjZX4hQqpQKElQID +1lmelAxUteWuiCujmmSAY6Di/xIyeYlJvUq0q/J4QkRgyNdJ6yLfmu7qFhCT +3b+1Pe3BgdRa773+zfSPI1Kr+gv4YZ2/h00OzxeYZTCLOhWNJxIyqsR1FjU6 +GZKqpetG9JQ55hULBkOtWo3wC9Kjgl/7/ND+pA1RIZ6+kT+X5u7dErcwwOO1 +tYVCUclCl3GGIUt0NfRFqhVFqQBhpahW++tAdRZmpTpgBlqvbgk4Hl2liz1m +/lBrmpGY4ELQi25xmimOsjnnQ2eneSdadDfMpIODUtz8WG6ReYTWVKJbJ7at +CPV6brhbdH/BPtn9b329v6owmwWxphOpz0o4UC3DrR/NjFTNr8LClfPXFuHX +gR5YtRqkFV96uIRqCrNh7bkhTq7Rf3SiamVDhv+EdwrqLoWMcTGMBZKShePG +zPuTsec9EFZKatUD21mYlOqQGQjXJi4i/HOu66yjzWZLtcZVVyQli1xf0S9x +kw0OioZ9/iOdF5ZY3DoTW9OASUrXe44NyW3XJT9SkzzDY6n5xIglnYKawwmH +azXzQby+xoxUNSq6tj3+QBX+c+iBVquBpNr1sYfFHzmPDdfPWsVXF4ylOmtV +8k9++naIGQtii43HPwgrBbUD3lmGfgbOmTx6jB8PLwMBh0VyLcLd/6d6szt5 +46zrvrV8ks9393ULCWQTV5Ww/OKVessEJ7bWR/fNz3zfPNehO05etcV3Sqx5 +sWh2dN65m/i63zQ/LVNdhz89ytN37prbhrGCCalYT3X2zgN3JITdZYDVaiAZ +GbIaG44EuBhW+x8dmjWedwyvYrZtQFitqx3ozvIEZCDcN3ERpCbJ3zvOPF00 +WTdtt7b0sqIuPTBw+wP92rT8wVbaD6PxrGGylvr2vmotSO2+977oX6aQXF/i +xcs2Tz62dBrAqR/NgFTk0dmUjDKR9rUjVFR55jyf8ntSDKnVYD4ybDIaGZqR +x7mLfMI0yy1qtO1M+LSlee2U64dbBcJKRe1AdpYnIgPh2sRJ5A+3BfDMH4H2 +Zp3TuAUbdqSlp3y/ZvNJ/VNTRfud8zuDnx/huTbneo2Ucn7gWMOEV1dMd/EK +jUs8eCzrSH6dzDApkz/YFjB/f6PFlxDs6OwHp6/ZK1XVnhfj9cywp3QMG+6b ++A/1V3iZUoshLVfTgp8f5b/jjzpBTf5/vZ8bzdt9ubHjbk6M278mRGeXi5HO +wsSV61MP/Zy2MTapqJPRV3UhrNbVDlxneVIyEK5N3AQVFm78YKfpG5jGd+v2 +Q8MaJinbFLH1VhfO+oJD6VSzLJW2QRK17AJhNYUrnYW2QYfNQMCRkTfmpmZc +bu2fZmmzLrmGycGBijV5Y1562sUWwtdYHUWnmnWpNA1aU8suEFYjuNJZaBp0 +7AwEHBkM6RD0rWirVZKKnNUTR7zwxu68CrHdCzg0rKGyNiFiZVrlCDrZljog +atkFwkrXIIekUlQLAAAAAAAAAAAAAAAAAAAAAAAAAADwZIGKSpOWh/OmuE1f +uuee9El8pAotALAIpB8A4CGryzr4lxhVI3WZwRPDnsRP6KAFABaB9AMAXDBV +j0o7V5OWr+YtK2OsQAN3gBYAWATSD+AImJKdu3rp3V2fZ1AokDp0GfwWYCvW +NsAhqRwFOiAw6CDNBUd/vd9trW9jCL8oMz701feL7C/gg/VUH109b5LTs6Pd +Alcdfqjb5RgVl5/OLm632HKr9/93VWbvL+wg/MqPmguy2uMbo8KCpr7kOmtZ +VgNDn8grW04tnhGp3zqM2AVKoMLipFXrUw4dTFm3Kvma0GjXOGstQBEOxJpF +qXroxhTSDwAYR9n625efZFKYDmHyx038G/EezgwUxe75O3nNnuttiEJwc8+7 +40b67arW99See6mR31wSmPQBTNaQf/pKm6K373Q3VEss+gdFF+QNx3+80IRo +ajSfXfyyu0llHJtR8k8vC3RyNd7WEs8FaqAd5z/2eedUa++hqpaTb/tEXujo +Gx6stQBVsY4fa1al6s9NL6aQfgDAPL3pGBmwqtSicBgBtIti46NovXypRTdC +SW/Huo831FzWlG4uiJwdoymnqf/PTdlRXu5e3r1M9QnaXGleN5OyC6hCqlv3 +kVdtmT1/r3mFG1scaTq1KfVc4kzTMmoWLlBE1ZzFG28oVdOY6T8+6BdNSQFr +LUARDsSaXak6wfRiCulnbKItd0VcGdWwAQAxKv4vIZOXmNS0RLsqjydEBIZ8 +nbQu8q3prm4BMdn929/THgRIrWnpuhE9ZY7xhv5Y5+9hk8PzBRS7Fl0X1Kj4 +ZvrHEalVMktbNF1QNJ5IyKgS11mU+CR0AeEXpEcFv/b5of1JG6JCPH0jfy7N +3bslbmGAx2trC4WikoUu4wxDt+hq6ItUS3xSgUOxZlEq3ZhC+pm0BlSjABii +q3Sxx8wfak1ncJjgQtCLbnGaiZeyOedDZ6d5J1p0t/Gkg4BS3PxYbtEfSKxp +fhUWrpy/tsikTLLs/re+3l9VULw7oOeCSnTrxLYVoV7PDXeL7q/RZpMLSH1W +woFqGW75aWIXpBVferiEaiqlYe25IU6u0X90omplQ4b/hHcK6i6FjHExDAeS +koXjxsz7k7GHKByKNWtS6ccU0s8YuDYBTCH8c67rrKPNZp3EuDKLpGSR6yuG +tXGSQUDRsM9/pPPCEosbemJralR0bXv8gSqzes9ITfIMj6VUZ2x0XdCASUrX +e44NyW03PTEdFwQ1hxMO12omsHiDA7ELJOWnjz0s/sh5bLh+4iq+umAs1Ymr +kn/y07dDzFgQW2x8HeBQrFmSaktMIf3Uxuk3Z/LoMX48vPQDAFpIrkW4+/9k +vvJt3Be6by2f5PPdfd0KBNkEVSUsv3ilvsciHYmsYT3V2TsP3JFYHCCv2uI7 +Jda8pjRTLvTRffMz3zfPdZgv0FB24c7dxNf9pvlpmeo6/OlRnr5z19w2jD/E +LpAMDlmNDUcCXAwL/o8OzRrPO4ZXwto2OBRrdqTaFFNIPxMP4L4JYAikJsnf +O848iTV9YdpubXlmRV16YOD2B/rlcvmDrbQfOuNbQx6dTckoE2nfA0JFlWfO +8w3v1EquL/HiZVPtFdRdwGQt9e19ZWSQ2n3vfYGzqELLBR045adJXDAfHDYZ +DQ7NyOPcRT5hmhUXNdp2Jnza0rx2yrXHrcKhWLMnVQf1mEL6GQPXJoAx5A+3 +BfCMn05r6O0LTuMWbNiRlp7y/ZrNJ/UPchXtd87vDH5+hOfanOs1UspZi2NN +1Z4X4/XMsKd0DBvum/iPYbiSP9gWMH9/I+VPNKi6gAmvrpju4hUal3jwWNaR +/DoZ9QUHggbpA2dwIHIBQ1qupgU/P8p/xx91gpr8/3o/N5q3+3Jjx92cGLd/ +TYjOLhcjnYWJK9enHvo5bWNsUlEno2/rcijW7Ejth0ZMIf2MgGsTwByosHDj +BztN3ws1XkOwH3rWMEnZpoitt7porFQPARcGBw41FEi12ZrDph8A0EXemJua +cbm1f+an7QvJNUz2LIrW5I156WkXW2h/+TEEXBgcONRQINUWa46dfgBAFwzp +EPQthatVkoqc1RNHvPDG7rwKsd1rSvSsobI2IWLjfG8IuDA4cKihQOrQSz8A +AAAAAAAAAAAAAAAAAAAAAAAAAADAdlBRadLycN4Ut+lL99yTPomPh6EFAHaB +DAQAC2R1WQf/EqNqpC4zeGLYk/g5ILQAwC6QgQBgCabqUWknatLy1bxlZYxV +muAO0AIAu0AGAoMLpuTSzbn07q7PMyiUTx26DH4LcCtDgIEG+iBgK0hzwdFf +73dbG1AwhF+UGR/66vtFjNUUUitbTi2eEanfDQwVl5/OLm6nvJVen6ye6qOr +501yena0W+Cqww+Nt3HGuiqz9xd2EH6xSM1xWe3xjVFhQVNfcp21LKuBoW/9 +GXC8H1RYnLRqfcqhgynrViVfExrtKWetBSjCQobgh9V6Q1GSSpIz9kE3rJCB +AECEsvW3Lz/JpDCrweSPm/g34j2cmSp+ran7cnpZoJOr8U6VPfdSI7+5JKCe +yj1/J6/Zc70NUQhu7nl33Ei/XdW6vovJGvJPX2lT9Hac7oZqiWUhN2qOyxuO +/3ihCdHUmz67+GV3k0I8NsOE4wbQjvMf+7xzqrX3UFXLybd9Ii909I0N1lqA +qlg2MoQwrKQNRVEqsXH7oBlWyEAAIKQ3qyIDVpValDMjgHbxazIUTac2pZ5L +nGlaGQ3rLIicHaMp8knNSOvlSy26kUV6O9Z9vK6otKIpO8rL3cu7l6k+QZsr +zWuAUnYcVUh1S1Tyqi2z5+81L9VjA4w4bkDVnMUbbyi705jpPz7oF015BGst +QBF2MoQorBoIG4qqVDLj9mimF1bIQAAgRsX/JWTyEpNKm2hX5fGEiMCQr5PW +Rb413dUtICa7f1N+2iMPsTVF44mEjCpxnUXVTqzz97DJ4fkC8x5CKkxL143o +KXPMyxUw47gaFd9M/zgitUpmaWugHVcj/IL0qODXPj+0P2lDVIinb+TPpbl7 +t8QtDPB4bW2hUFSy0GWcYXQVXQ19kWq5UiqwmCF6LMJK0FC0Y4pr3Fa1dMMK +GQgAJHSVLvaY+UOtac/EBBeCXnSL08yflM05Hzo7zTvRorsbJx15lOLmx3KL +tMa3htRnJRyoluFWlJbd/9bX+6sKy1kWiTDNr8LClfPXFlGrA03PcZXo1olt +K0K9nhvuFo1TEm7AHVdLK770cAnVVH3D2nNDnFyj/+hE1cqGDP8J7xTUXQoZ +42IYCyQlC8eNmfcnY08EWcsQw684YcVvKLpSCYzbpJZ+WCEDAYAE4Z9zXWcd +bTbLdeN6MZKSRa6vGJa4SUYeRcM+/5HOC0ss1ihwrAlqDiccrtVM4vA6CFKT +PMNjKd7Ei1iYGhVd2x5/oIrqU226jmvAJKXrPceG5LabnmMwHCcppX3sYfFH +zmPD9bNW8dUFY6nOWpX8k5++HWLGgthi46GapQwhDyt+Q9GOKWnODHRYIQPV +1DIQeDKRXItw9//JfAHbOKW7by2f5PPdfd1CAtmsWCUsv3il3rKjW1q7czfx +db9pflqmug5/epSn79w1tw19UF61xXdKrHmZazJhWE919s4DdyTUM5qu4310 +3/zM981zHearMwPvOMnIkNXYcCTAxbDa/+jQrPG8Y1QL2luHnQyxElb8hqIn +1WrODHBYIQMBgASkJsnfO848FzUpPW23tnK2oi49MHD7A/2qt/zBVtpPuomt +qXErSqsl15d48bLxkhvfFPLobEpGmUj7ZhAqqjxznm/9rSvqjmOylvr2vpI4 +SO2+977AWVEZeMfNR4ZNRiNDM/I4d5FPmGa5RY22nQmftjSvnXJlcquwlyEk +YcVvKDpSbckZq76r6YQVMhAAyJA/3BbAM38U3JvSTuMWbNiRlp7y/ZrNJ/XP +YxXtd87vDH5+hOfanOs1UsrJR2CtD5wOIn+wLWD+/ka8Ly1wTKna82K8nhn2 +lI5hw30T/6EyzFB1HBNeXTHdxSs0LvHgsawj+XUy6vdmTDmOIS1X04KfH+W/ +4486QU3+f72fG83bfbmx425OjNu/JkRnl4uRzsLEletTD/2ctjE2qaiT0Skr +OxlCGlaihqIq1dacIfW9DxphhQwEADJQYeHGD3aavt5pvBRgP/SsYZKyTRFb +b3XhdkAmhXHKcTbhUEMNvFTaBllVO0QyEHhikTfmpmZcbu2fwGlTOrmGyQ5C +0Zq8MS897WIL0Ru9zArjkOMsw6GGGmCpNA2yrHboZCDwxIIhHYK+FW21SlKR +s3riiBfe2J1XIbb73pyeNVTWJkSIpm3MCtPBBccdAg411IBJ5ZbaoZaBAAAA +AAAAAAAAAAAAAAAAAAAAAAAAQwpUVJq0PJw3xW360j33pPY+r2XW2kCbBQYZ +SI/BBzo4wE1kdVkH/xKjaqQuM3hiWIHQkawNtFlgkIH0GHyggwMcBVP1qLTT +FGn5at6yMjv33mfW2kCbBQYZSI/BBzo4wBCYkp0bWundXZ9nUKi+yoa1gTZL +AlvhsAEOSYX0GHyggwMWIM0FR3+9320tiTGEX5QZH/rq+0X212bBeqqPrp43 +yenZ0W6Bqw4/1G2hjIrLT2cXt+NspYd1VWbvL+yw5YNEZcupxTMiTWuo2W5N +s9VMcdKq9SmHDqasW5V8TWi0a5xdZvvhQDhYlKqW1R7fGBUWNPUl11nLshoQ +SjpJgPSgAENtjp9mfT89QR0coIiy9bcvP8mkMBPA5I+b+DfiPZwZqMne83fy +mj3X2xCF4Oaed8eN9NtVrd9XpedeauQ3lwQm4cdkDfmnr7QpetOmu6FaQis1 +lPzTywKdXI32tLTHmraS9sc+75xq7T1M1XLybZ/ICx0oA2b79Tp+OFiVKm84 +/uOFpl55qrazi19215c3ItNJBqQHBZhqc8I0e5I6OECV3khEBqwqtahKRgDt +itv4KFovX2rR5aX0dqz7eENBZ01d6ILI2TGaWp36/9yUHeXl7uXdy1SfoM2V +OEU5iU/UdGpT6rnEmf011Oyx1ouqOYs33lCqpjHTf3zQL5qSAjTMqtpyV8SV +4bc4B8LBrlQ1qpDqVqnkVVtmz9+rL4BEqJMMR0wPMrjd5kRp9iR1cIAyKv4v +IZOXmBTMRLsqjydEBIZ8nbQu8q3prm4BMdn9e+vTznZSa1q6bkRPmWNcKgDr +/D1scni+gOooQ3wKReOJhIwqcZ1lfU8SEH5BelTwa58f2p+0ISrE0zfy59Lc +vVviFgZ4vLa2UCgqWegyzjB0i66Gvki1xKcBVdORN8PxX/ThUDhYloqKb6Z/ +HJFa1V94jyhtuJYeJAyBNtdjkWY2qXLMCJJ0cIA6XaWLPWb+UGuaIpjgQtCL +bnGa+ZCyOedDZ6d5J1p0d7Ck2a4UNz+WW1xRSKxpfhUWrpy/tsikBrPs/re+ +3l9VUJ/w4J8Cqc9KOFAtw609TYq04ksPl1BNpTSsPTfEyTX6j05UrWzI8J/w +TkHdpZAxLoZklZQsHDdm3p/0JqYkqcuhcLApVSW6dWLbilCv54a7RfcX2iNM +G26lBwmcb3PDrzhpRga3IgjXJkYQ/jnXddbRZrO1U+OyL5KSRa6v6FeYybJd +0bDPf6TzwhKLFCG2pkZF17bHH6gyKyaN1CTP8FhKZ7KCcwpBzeGEw7Wa6RXt +1CUpP33sYfFHzmPD9dMq8dUFY6lOq5T8k5++HaJhzuTRY/x42n8uiC027qAc +CgfLUtWackOl6z3HhuS2Y2Q6Cew4cHoY4VjpobazzcnTjBRuRZC4gwPUkVyL +cPf/qd7s1to4E7pvLZ/k89193X082UxMJSy/eKXeMuOIrGE91dk7D9yRWBwg +r9riOyXWvFo1GZanuHM38XW/aX5aproOf3qUp+/cNbe7rRnSQpK6WY0NRwJc +DMvRjw7NGs87hlfCmgSSaRWHwsGmVD3dNz/zffNcB0amE9+OA6cHCdxucytp +RgqnIgj3TYyA1CT5e8eZ55YmE6bt1papVtSlBwZuf6BfLJY/2Er76Sq+NeTR +2ZSMMpH2FRhUVHnmPN9QAU1yfYkXL5tOQhALVuPWnibHPHU3GaVuM/I4d5FP +mGY9QI22nQmftjSvnXLt8T5IUpdD4WBLKiZrqW/vKzSE1O5774v+9SXitOFU +epDA/TYnSTPaqgw4WgTh2sQM8ofbAnjmzyR7M8Fp3IINO9LSU75fs/mk/jGm +ov3O+Z3Bz4/wXJtzvUZKOWA41lTteTFezwx7Ssew4b6J/xiSVP5gW8D8/Y10 +vpwgENwHvdTFkJaracHPj/Lf8UedoCb/v97PjebtvtzYcTcnxu1fE6Kzy8VI +Z2HiyvWph35O2xibVNRJe1ZMlrocCgc7UjHh1RXTXbxC4xIPHss6kl8nM8y/ +SdKGU+lBBrfbnDTNaKvqx9EiCNcmhkCFhRs/2Gn6SqTxHbT90LOGSco2RWy9 +1UXrnp9ZwWzCoXA4lFTStIH0oI5jtvnQiSBAC3ljbmrG5db+2Zg2E5JrmMwr +itbkjXnpaRdbKL1aauMpHB4OhcNRpFrRCelBHcds8yEVQYAWGNIh6FtQVqsk +FTmrJ4544Y3deRViu1ck6FlDZW1ChO5rLcwKdgg4FA5HkEqqE9KDOo7Z5kMw +ggAAAAAAAAAAAAAAAAAAAAAAAAAAAEMfVFSatDycN8Vt+tI996SMbXEyQGYd +EGY9fXLaDQAAgBhZXdbBv8SoGqnLDJ4YxthHewNk1gFh1tMnp90AAABIwFQ9 +Ku3sXFq+mresjKmSCgNk1gFh1tMnp90AYGiBKWGZY0CQ3t31eQaFkqaOYZYE +tjKEWU8Hv90AADAFaS44+uv9bmsDCobwizLjQ199v8j+ijRYT/XR1fMmOT07 +2i1w1eGHuv2QUXH56ezidpKt9ChJxTduD7La4xujwoKmvuQ6a1lWA0JJKgnK +llOLZ0Sa7ACGdVVm7y/ssO3TQlRYnLRqfcqhgynrViVfExptnmaX2X5YyBA9 +pm1F3Ow2eEqSJ9asDY08BABHRtn625efZFKYH2Lyx038G/EezgxUee75O3nN +nuttiEJwc8+740b67arWb0fScy818ptLAtxBgaJUYuM2Im84/uOFJkRTbfns +4pfd9ZVoyKSSoeSfXhbo5Gq0OyUma8g/faVN0TvUdDdUS2haRDvOf+zzzqnW +3sNULSff9om80IEyYLZfLxsZoj+3RVvhNrtNnhLmiTVrQyQPAcCR6R3XIgNW +Ud5fnnaVZ3wUrZcvteg6qvR2rPt4QxFkTZ3ngsjZMZoSlzZKJTNuG6hCqlul +kldtmT1/r76CDqFUUnlNpzalnkuc2V8NTdGUHeXl7uXdy1SfoM2V1Av+alE1 +Z/HGGyrONGb6jw/6RVO1gIZZVVvuirgy/JZlJ0P6sGwrDRbNblsDEuWJNWtD +JA8BwKFR8X8JmbzEpPol2lV5PCEiMOTrpHWRb013dQuIye7fkp72yENqTUvX +jegpc4z3/cc6fw+bHJ4vMOtpdKXiG7dHLSq+mf5xRGpVf601AqkkdhSNJxIy +qsR1tCp1IvyC9Kjg1z4/tD9pQ1SIp2/kz6W5e7fELQzweG1toVBUstBlnGHc +E10NfZFqpU4DJLv6s5ghhG1F1Oz0T6GHRp5wKQ8BgLN0lS72mPlDrWmfwQQX +gl50i9PMw5TNOR86O8070aJbMCAdeZTi5sdyi+5BYk3zq7Bw5fy1RSZ1i2X3 +v/X1/qrCbL5KVyqBcVvVqkS3TmxbEer13HC36P7aavhSCe0g9VkJB6pl9KtI +Syu+9HAJ1RQ8w9pzQ5xco//oRNXKhgz/Ce8U1F0KGeNiuBpJShaOGzPvT3r3 +LSTXJtYyhKytCJudCDvyxBxu5SEAcBThn3NdZx1tNluqNq6WIilZ5PqKfmWb +bORRNOzzH+m8sMRiwCW2pkZF17bHH6gye0iM1CTP8FhqPvWnK5XAuB1q1ZqS +NaXrPceG5LZjZFIJ7AhqDiccrtXMf2lfm0iqSB97WPyR89hw/X2T+OqCsVTv +m5T8k5++HaJhzuTRY/x42n8uiC02HkRZyhDytiJudiJszRNLuJWH/SE2wizE +AOCASK5FuPv/VG+21mDcL7pvLZ/k89193foB2axYJSy/eKXesgsSWcN6qrN3 +HrgjsThAXrXFd0qseelpelIJjduqVk/3zc983zzXgZFJxbdz527i637T/LRM +dR3+9ChP37lrbndbHooDybUpq7HhSICL4XnTo0OzxvOO0Slorya9b2InQ6y0 +FXGzE2FznljAsTwEAG6C1CT5e8eZ57SmX0zbra2XrKhLDwzc/kC/2C1/sJX2 +k258a8ijsykZZSLtC2WoqPLMeb7hJSbJ9SVevGzz4ZWOVBLjtqjFZC317X3F +apDafe990b+Wgi+VWJgOelWk1ZbXpk1G16Zm5HHuIp8wzYKfGm07Ez5taV47 +5RLcfZBcm9jLEB14bUXc7PROYUuecCwPAYCjyB9uC+CZP6Tt7RdO4xZs2JGW +nvL9ms0n9Y9hFe13zu8Mfn6E59qc6zVSysMfjjVVe16M1zPDntIxbLhv4j+G +Xit/sC1g/v5Giy82qEolNW6LWkx4dcV0F6/QuMSDx7KO5NfJDJNcIqn4dvqh +d23CkJaracHPj/Lf8UedoCb/v97PjebtvtzYcTcnxu1fE6Kzy8VIZ2HiyvWp +h35O2xibVNRJe4giuTaxlCH94LQVSbPTOIWtecKtPAQAroIKCzd+sNP0RVnj +9QT7oWcNk5Rtith6qwtnEWTgpdIzSCJ1AISxBocyhKlTkMOpPAQADiNvzE3N +uNzaPxHU9ovkGiZHHorW5I156WkXWwjftR1gqXQMWpHKuDA24VCGMHAKSiq4 +kocAwG0wpEPQt5CtVkkqclZPHPHCG7vzKsR2L2DTs4bK2oSIlenfgEmlZ5BU +KuPC2IdDGWLnKSjChTwEAAAAAAAAAAAAAAAAAAAAAAAAAAAAADZARaVJy8N5 +U9ymL91zTwpPtR0FZuPiyNYAAAAskNVlHfxLjKqRuszgiWEE378Cgw6zcXFk +awAAAJZgqh6VduIrLV/NW1ZGr7YFMGAwGxdHtgYAQwVMyY1FBK7o7EN6d9fn +GRRqyz6psBVNZuPiyNYAwPFAmguO/nq/21rnxxB+UWZ86KvvFzFQ1VRWe3xj +VFjQ1JdcZy3LatB8/o6Ky09nF7eTbArGhk4dypZTi2dE6nd1sy4VT1ZP9dHV +8yY5PTvaLXDV4YfGW09jXZXZ+ws7CL+ypOQ4iX37YMB3PDgQTWtxwcGOKONh +2U3ssQYAXELZ+tuXn2RSmH1h8sdN/BvxHs4MVNyWNxz/8UIToqkGfnbxy+76 +2jQ991Ijv7kkwO1vrOjUn5t/elmgk6vxjqNkUnHp+Tt5zZ7rbYhCcHPPu+NG ++u2q1o00mKwh//SVNkXvINndUC2xsEjRcUL7dsKE7zhWHT+a1uKCi81RxoWg +m9hoDQC4BNpxPjJgFeVqDbQrbhOdViHVrdHIq7bMnr9XXw4H6yyInB2jqfbp +GDq1KJpObUo9lzjTtMIdoVQCI62XL7Xoxinp7Vj38boq6oqm7Cgvdy/vXqb6 +BG2uNC9dStVxIvt2wojvFnAgmtbiQmDcxigTQNBNaFhTteWuiCujXowFABwE +Ff+XkMlLTKpuol2VxxMiAkO+TloX+dZ0V7eAmOz+ogW0RwlSa2pUfDP944jU +qv6qaVjn72GTw/MFZqMeizoVjScSMqrEdRbVVwmkWnFZQ9eN6ClzzKss4EPX +cbr2GfadGlyKJv1T6KETBbrdhDJk1U8AwIHpKl3sMfOHWtP+gwkuBL3oFqeZ +RCqbcz50dpp3okW3akA6SijFzY/lFn2b0JpKdOvEthWhXs8Nd4vur5Imu/+t +r/dXFWZTQdZ0IvVZCQeqZbiVwfGlkgvT/CosXDl/bRG1qth0Hbdmf8B9Hwin +2I0mEQxGmcwafjehClybAI4i/HOu66yjzWYZb1w7RlKyyPUVw0I3ySihaNjn +P9J5YYnF+gGxNQ2YpHS959iQ3HZdJ0Zqkmd49FV4ZV+noOZwwuFazQQWbzTD +l2rFZVR0bXv8gSqqbyrQdZzc/iD4ruSf/PTtEDMWxBYbD9IciyYRzEXZijW1 +ZTexQn8U5kwePcaPhxcFAHBkJNci3P1/qjdbdzDuJt23lk/y+e6+bjmBbAar +EpZfvFJv2R2JrfXRffMz3zfPdeiOk1dt8Z0Sa17ymh2dd+4mvu43zU/LVNfh +T4/y9J275rZhxMCXSiYM66nO3nngjoT6CEHPcav2B8F3xp1iPZpEMBdlMmt6 +TLsJVeC+CeAoSE2Sv3eceYfUdJNpu7UFpBV16YGB2x/o177lD7bSfiqNZw2T +tdS395WdQWr3vfdF/2KF5PoSL14232xOzZZOA3hV1PGlEptCHp1NySgTaUuV +o6LKM+f51t+ko+O4LfaZ950CHIsmvVPYGgV63YQqcG0CuIr84bYAnvkD295u +4jRuwYYdaekp36/ZfFL/VFbRfuf8zuDnR3iuzbleI0WpngLHGia8umK6i1do +XOLBY1lH8utkhtmg/MG2gPn7Gy2+NWFHZz84oxmRVHxTqva8GK9nhj2lY9hw +38R/qAxaVB231T7jvlOBW9GkcQo7okCrm1AGrk0AZ0GFhRs/2Gn6Gqrx8oL9 +0LCGSco2RWy91YXTBx1Kp5pUKrPCBt5x2gZJfacEp6LJzCkG1xoADAXkjbmp +GZdb+2ex2m6SXMNkp6NiTd6Yl552sYXwpVtH0am2KpVZYQPtOE2D1sJEEe5E +k4lTDLY1ABgiYEiHoG9dW62SVOSsnjjihTd251WI7f7gnIY1VNYmRKxMXB1B +pzWpzArTMWCO0zZIJUwU4UI0mTnF4FoDAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AIBpUFFp0vJw3hS36Uv33JPCRjkcBkIJAMBQQVaXdfAvMapG6jKDJ4bBp58c +BkIJAMCQAVP1qLQzbGn5at6yMhr7pwIOBoQSGFpgSs7c/HNIKueQ3t31eQaF +4rbMwaFockiqmo1QAgDWU3109bxJTs+Odgtcdfghwb7+SHPB0V/vd1vrThjC +L8qMD331/SL7q5TiC0PF5aezi9tJNj5jQaoeZcupxTMi9Ru1MSSVWoAGQS0e +strjG6PCgqa+5DprWVaD8a4GWFdl9v7CDnu/JIXEowIDoSRJM2uhpOY4carY +ARM5DDgoPX8nr9lzvQ1RCG7ueXfcSL9d1ZZZo2z97ctPMinMmjD54yb+jXgP +ZwYqaBML67mXGvnNJQFuV2FFqv7c/NPLAp1cjTcRZUAqlQANglpc5A3Hf7zQ +hGhqf59d/LJ7f8khTNaQf/pKm6J3uOhuqJbYeoGCxKMEE6Ek9NpaKCk6Tpgq +9sCE44Cjomi9fKlFl4XS27Hu4/9TJDb7L2jH+ciAVaUW5dsIoF1Bm74wrLMg +cnaMpkaoQ0jVCW46tSn1XOJM06J1dkulEKBBUEsAqpDqVqbkVVtmz9+rq8mk +aMqO8nL38u5lqk/Q5krbyuNC4lEUzEQoiby2FkrKjhOkij3Y7riqLXdFXBnV +aAHs03Ujesoc89IFahX/l5DJS0wqi6JdlccTIgJDvk5aF/nWdFe3gJjs/iIE +tPsdqTV8YVjn72GTw/MFZvnHolRF44mEjCpxnUVBVYak4rfDYKm1og0V30z/ +OCK1SqZmEkg8KtYYDiWu18TQTmO6qcKg48ayoXQIp8CEhSvnry2yKNvcVbrY +Y+YPtaaZigkuBL3oFqeZnSibcz50dpp3okV3G03a75Ti5sdyi6QhsUYgTHb/ +W1/vryrMZnGsSUXqsxIOVMtwi30zI5WgHQZJLZk2lejWiW0rQr2eG+4WTb/4 +HQmQeNatMRtKQq8Joee4lVQZcMcNwLWJS6Cia9vjD1ThPGgX/jnXddbRZrNM +Mi43IylZ5PqKYQGZpN8pGvb5j3ReWGJxM01sjUAYUpM8w2NpqdkrrSxJFdQc +Tjhcq5nN4fUUZqSSBGgQ1FrRptZUQCpd7zk2JLed2hqSkn/y07dDzFgQW2w8 +IkLiWbM2AKEkTTNLaKexmjBVBsHx/qybM3n0GD8eXtYBjgXWU52988AdCW6I +JNci3P1/Ml8eNk6Y7lvLJ/l8d193m042J1QJyy9eqbdMfCJrhMLkVVt8p8Sa +l/VmR+qdu4mv+03z0zLVdfjTozx95665beiMTEglDdAgqCXTpqf75me+b57r +YK6bQ+JZscZ4KK2mmQV0He8DP1UGwXHDqeC+iRsgj86mZJSJtOWuUVHlmfN8 +kxfBkJokf+8480hrEmbabm3BaUVdemDg9gf6NWX5g620n/PiWyMRJrm+xIuX +zTebr7EnVQdOsW8GpFoJ0CCoJTKFyVrq2/tqHyG1+977gtE1PUg8itbUTITS +tjSj7rjtqcKg43rg2sQFVO15MV7PDHtKx7Dhvon/mKWk/OG2AJ75o9HehHEa +t2DDjrT0lO/XbD6pf9qpaL9zfmfw8yM81+Zcr5GiVFXgWCMVJn+wLWD+/kaL +7xjYkdoPTk+xVyqFAA2CWnxTmPDqiukuXqFxiQePZR3Jr5MxuzYCiUfBWh92 +h9LWNKPquB2pwqDjeuDaNFRAhYUbP9hp+vqo8Y22/dCzhknKNkVsvdWFk94g +1RTG1A6ANutANG22Nmih5JTjwBBE3pibmnG5tX96pE2Y5Bom04+iNXljXnra +xRbCN1xBqhEMqmVcGyUgmrZYG9xQcsdxYGiCIR2CvvVitUpSkbN64ogX3tid +VyG2+wkDPWuorE2IWJkUgVSm1TKujQYQTccPJRccBwAAAAAAAAAAAAAAAAAA +AAAAAAAAAAYLVFSatDycN8Vt+tI996T2Psdl1hrAFpAVAACwiqwu6+BfYlSN +1GUGTwyz93NAZq0BbAFZAQAAu2CqHpV2IistX81bVoazMSd71gC2gKwAAPpg +Ss4sCnBIqvTurs8zKFRNZcMaFbjS1FzR2QfXswIA7ANpLjj66/1ua50WQ/hF +mfGhr75fZH+9Tqyn+ujqeZOcnh3tFrjq8EPd5sOouPx0dnE7yU5YLEhVy2qP +b4wKC5r6kuusZVkNCCWdeJpwXe77qasye39hhy0fKipbTi2eEWlaW812a8Zw +panZ0KnDtPGfiKwAgEFD2frbl59kUphNYfLHTfwb8R7ODNSS7vk7ec2e622I +QnBzz7vjRvrtqtbvSNJzLzXym0sC3C7EilR5w/EfLzQhmjrOZxe/7K6vREOm +ExdClzFZQ/7pK22K3sGtu6FaQmvwUPJPLwt0cjXa69Iea8aGOdLUrOjUn9ui +8Yd6VgDA4IF2nI8MWFVqUc+LANq1pPFRtF6+1KLrhNLbse7j/1Mk1v+GdRZE +zo7RVLl0CKlqVCHVLQPJq7bMnr9XX6uGUCc+RC4rmrKjvNy9vHuZ6hO0uZKk +WKelzaZTm1LPJc7sr61Gw5qqLXdFXBl+a3KlqVnSqcWy8UmlEhhxtKwAAAdB +xf8lZPISk1KTaFfl8YSIwJCvk9ZFvjXd1S0gJrt/V3ravZvUmpauG9FT5hhv +so91/h42OTxfYF55jF2pqPhm+scRqVX9NdIIdNrisk2qFI0nEjKqxHWWdT8p +QVImgCtNzaJOwsbneFYAgIPQVbrYY+YPtab9ARNcCHrRLU4z+VM253zo7DTv +RItuFYC0dyvFzY/lFhNGEmuaX4WFK+evLTIpiiy7/62v91cVZrM7NqWqRLdO +bFsR6vXccLfo/ppo+DptcpkMfGtIfVbCgWoZbk1qSpBcm7jS1KzpJGt8bmcF +ADgIwj/nus462my2/mxcMEVSssj1Ff3KP1nvVjTs8x/pvLDEoj8QW1Ojomvb +4w9UmZVhRmqSZ3gsLTV71ZVlqWpNZZjS9Z5jQ3LbMTKdNrlMCo41Qc3hhMO1 +mpky3VFIyT/56dshGuZMHj3Gj6f954LYYuNBkStNzZJO8sbneFYYYZYVADCY +SK5FuPv/VG+2jmCc9t23lk/y+e6+bn2FbOapEpZfvFJv2b2IrGE91dk7D9yR +WBwgr9riOyXWvM4zm1L1dN/8zPfNcx0YmU6bXCbF0tqdu4mv+03z0zLVdfjT +ozx956653W3NkAkk901caWp2dFppfG5nBQA4CEhNkr93nHlH0qT9tN3aksyK +uvTAwO0P9Cvj8gdbaT9NxreGPDqbklEm0lakRkWVZ87zDbXDJNeXePGy+WbT +YbakYrKW+va+mjBI7b73vuhfaMLXaZPLtFUZwKlJTQ2SaxNXmpq97NWB1/jc +zgoAcBTkD7cF8MwfwPamvdO4BRt2pKWnfL9m80n9M1tF+53zO4OfH+G5Nud6 +jRSlegoca6r2vBivZ4Y9pWPYcN/Efww9Uv5gW8D8/Y0Wn4mwIxUTXl0x3cUr +NC7x4LGsI/l1MsPslkinDS7TVtXPQFybONPU7OjsB6fxOZ4VAOAwoMLCjR/s +NH2t1Hi5wH7oWcMkZZsitt7qwlngcCipJDrZbUBG4EpTO5RO9VDPCgAYZOSN +uakZl1v7Z5/atE+uYbITUbQmb8xLT7vYQvgeraNItaKTvQZkDo40tcPoVD8R +WQEAgwyGdAj6FvrVKklFzuqJI154Y3dehdjuD8jpWUNlbULEyiNhR5BKqpPN +BmQWh29qB9JpTerQyQoAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGFKgotKk5eG8 +KW7Tl+65J4UdbYDBALIOAABSZHVZB/8So2qkLjN4YhjBl7sAwCiQdQAAkIOp +elTaaau0fDVvWRnOhqYAwDSQdQA1MCVnbqo5JJVbSO/u+jyDQrVZ5uBQKDkk +lVsMftYBbIM0Fxz99X63tR6FIfyizPjQV98vsr9yKNZTfXT1vElOz452C1x1 ++KFu/2dUXH46u7gdbzMy9qTqUbacWjwjUr9HGUNS8dvBHmS1xzdGhQVNfcl1 +1rKsBoSSVBJMve7T3FWZvb+ww95PPiHrSLEljiylnA66HYSyKS0MZR3AIZSt +v335SSaF2Qgmf9zEvxHv4cxAVeuev5PX7LnehigEN/e8O26k365q/d4rPfdS +I7+5JMBNQVak6s/NP70s0MnVeP9MBqQSt4ONyBuO/3ihCdGUXD+7+GV3fYUg +MqlkWHqNyRryT19pU/QOPt0N1RJbhwrIOnJsiCNbKac/Pb0OQs8UQ1kHcAm0 +43xkwCrKGxbTrmqNj6L18qUWXZeQ3o51H/+fIrH+N6yzIHJ2jKaep0NI1Qlu +OrUp9VziTNN6bXZLJWsH20AVUt2Kkrxqy+z5e/XFjQilksqz8FrRlB3l5e7l +3ctUn6DNlZbVXamphKyzAu04spdyfWbpdRB6phjKOoBTqPi/hExeYlLtE+2q +PJ4QERjyddK6yLemu7oFxGT3779Pu+uRWtPSdSN6yhzjOgdY5+9hk8PzBWYJ +zaJUReOJhIwqcZ1FLVGGpOK3g61qtb+Kb6Z/HJFa1V+uj0CqLV7bDWQdVamU +48huytHtIKxkHcAtukoXe8z8odY0OzHBhaAX3eI00x1lc86Hzk7zTrTo7qJJ +u55S3PxYbjFFIrGm+VVYuHL+2iKT2s+y+9/6en9VYTY7Yk0qUp+VcKBahlvn +mhmpBO1gk9peVKJbJ7atCPV6brhbdH95PnypNnltL5B1lKzRiSObKUe/g9hk +CniyEP4513XW0Waz9Vvj0jCSkkWur+iXu8m6nqJhn/9I54UlFvlEbE2Niq5t +jz9QZfY4FqlJnuGxtNTsVVGWpApqDiccrtXM6fD6CzNSCdrBBrVGBbgxSel6 +z7Ehue0YmVSbvCZDyT/56dshZiyILTYeAiHrqEpVU40jeylnSwexyRQZVLIO +4BaSaxHu/j/Vm93VG6dN963lk3y+u69bVCCbFqqE5Rev1FsmO5E1rKc6e+eB +OxKLA+RVW3ynxJqX2mZH6p27ia/7TfPTMtV1+NOjPH3nrrltGDqYkErYDvTV +3pcZ/9598zPfN891YGRSbfLaXiDrKFrrg0ocWUs5mzqITaaAJwukJsnfO848 +dTRpM223tji0oi49MHD7A/06tfzBVtqPevGtIY/OpmSUibS1sVFR5ZnzfMPr +QpLrS7x42XyzOSB7UnXg1bm2XypJO9iiFpO11Lf3FRFCave990X/WhC+VJu8 +thfIOqvW6MaRxZQzQL2D2GQKeMKQP9wWwDN/HNqbNk7jFmzYkZae8v2azSf1 +T1AV7XfO7wx+foTn2pzrNVKU6ilwrKna82K8nhn2lI5hw30T/zH0D/mDbQHz +9zdafBjBjtR+cPqLvVJJ28EWtZjw6orpLl6hcYkHj2Udya+TGWa+RFJt8Np+ +IOusWKMfR9ZSrh8aHcQGU8ATByos3PjBTtPXMo1vt+2HnjVMUrYpYuutLpzl +BpBqCg2DJFIHQJh1IJS2WeNQyqkdL+sAziFvzE3NuNzaP+XSpk1yDZNdj6I1 +eWNeetrFFsK3WkGqEZQNWpHKuDBKQChpW+NQyqkdNOsAzoEhHYK+1W21SlKR +s3riiBfe2J1XIbb7A2x61lBZmxCx8moNSKVrkFQq48JoAKFkLo4DrZO2QYfN +OgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAcEBFpUnLw3lT3KYv3XNPau8O +WY5szZF5cjw144l1HAAAUmR1WQf/EqNqpC4zeGJYgXDoWnNknhxPzcBzHJNU +nr7YaLyTgeVfcFHUH/hkC9QfAoAhAabqUWlnq9Ly1bxlZThbGg8Va47Mk+Op +GfiOK5pyvkq5bbzjgeVfLFHU738vDm9TbgAA7AdTsrOuIb276/MMCqWxuW+N +CkMjChzC3HFpxf9+cshk/zrLv5ihbDz8fsw1JsrMAsCTAdJccPTX+93WBjsM +4Rdlxoe++n6R/YXOsZ7qo6vnTXJ6drRb4KrDD3W78aPi8tPZxe04W0NiXZXZ ++ws7aH1CLqs9vjEqLGjqS66zlmU1GG+OYos1HcqWU4tnRJoW97TdmjFDIArU +XCCOix2YxoXYBdqmtOA5Lrv3P//ZXiUj/YsJqqbsiM+v2h81AHgyULb+9uUn +mRRmwpj8cRP/RryHM80SAHj0/J28Zs/1NkQhuLnn3XEj/XZV64eonnupkd9c +EpiMApisIf/0lbbeGSna3VAtoXYRkDcc//FCU69ZVdvZxS+791dVs8maDiX/ +9LJAJ1ejHZLtsWZsmPtRoOgCYVzswTIuuC7YZorIcWHBe8H9TYb/FyNU/JwP +oy8L4WUKAKAC2nE+MmAV5c3oSUtOU0fRevlSi64LS2/Huo//T5FhpQPrLIic +HaOp1az/z03ZUV7uXt69TPUJ2kz1STKqkOqWveRVW2bP36uru2ajNd2xpzal +nkuc2V+Rk4Y1VVvuirgy/IYeAlGg7AJBXOxyxCIuuC7YZorYcemd1TPeNNSj +xf9LP2jrrws/uSSASxMAUEHF/yVk8hKT2stoV+XxhIjAkK+T1kW+Nd3VLSAm +u7+2Cu1RkdSalq4b0VPmGBeewTp/D5scnk+5F5OfAhXfTP84IpV4pYWyNUXj +iYSMKnEdvWrRBlRNR94Mx3+/bQhEga4LgxEXIheYCrH84f+ZOd2kRq3lX/pP ++jh38ccXOuDSBACU6Cpd7DHzh1rTqSsmuBD0olucZsapbM750Nlp3okW3UIG +6aioFDc/llt0PhJrml+FhSvnry0SGR8mu/+tr/dXFdTvaAhPoRLdOrFtRajX +c8Pdovsrh9pkDanPSjhQLVMr6pm/Ng2BKNBzwUpc6LhAFhdCF5gJsaLuR3/P +KONXFi3/Yjhj+/mPl+Q+plxvEACecIR/znWddbTZbHQwLvslKVnk+orhoQDJ +qKho2Oc/0nlhiUWXJramRkXXtscfqOoxHYeQmuQZHkvpvGpLcgq15tuT0vWe +Y0MI1looWRPUHE44XKuZXNO9Nin5Jz99O0TDnMmjx/jxtP9cEFtsfB0YAlGg +64IGgrjQcYE8LsQuMBJiZcO+V90/uCYh+4veVcHvn/w/v7bCpQkAKCK5FuHu +/5P5kr9xz+2+tXySj2GZgmzGrhKWX7xS32NxASCyhvVUZ+88cEdicYC8aovv +lNjbUupuEAvuo/vmZ75vnqO6oGJp7c7dxNf9pvlpmeo6/OlRnr5z19ym9xCf +5L5pCESBrgt94MeFugtW4kLsAiMhVtSl+3ssKe0i+0sfWGdB9EcnW6BQEQBQ +BalJ8veOM++9mp47bfc/mp7b29sCA7c/0D8nkD/YSvspPL415NHZlIwykXYm +iYoqz5znG15vklxf4sXL5tPoyXinwGQt9e19xc2Q2n3vfUF5TY/EfbXmG5X9 +//ZkeE1vCESBuguDGBdiFxgJMVK9y993g/FbIZZ/0Z2ucFlEtvlNJQAAJMgf +bgvg7TP7YLC35zqNW7BhR1p6yvdrNp/UP8FWtN85vzP4+RGea3Ou10gpr0/g +WFO158V4PTPsKR3Dhvsm/mMYFOUPtgXM399I59sUnFNgwqsrprt4hcYlHjyW +dSS/Tkb9KTSB+30MxLVpKESBqguDGBcSFxgJcc/ddTNCTrSgZH/RIr72xQdH +Htn2sRUAPKmgwsKNH+w0neoZr3jYDz1rmKRsU8TWW+R7v9h3isG1RokhEAVO +ucCIMHHRR699beKw5V80SEpj3ztAtl8EAAC4yBtzUzMut/Z3Hm3PTa5hckih +aE3emJeedrGFbj9mTzBzcD8KHHKBCWFIdXLYVyZfDlv+RUP3zfh399bBpQkA +bAFDOgR9zwDUKklFzuqJI154Y3dehdjuJXJ61lBZmxCh+wkIm4KZhctR0MEF +F5gRhtTsXbzjXg/pXzRIy9f/58fBnugAAAAATyCo4MrmhIvGr3FY/kWLtCLh +P0kPn8C9cQEAAIDBBeu6e+zwTRFK9pc+ZPe3L0x8AJcmAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAgAlQUWnS8nDeFLfpS/fckw5szbLBPJcjMOT9 +BQcBAKCEvPHi6UrLQgXEyOqyDv4lRtVIXWbwxDCCPUQZAu9cmKTy9MXGofnh +xmC2LSuAgwAAUADrup3y1YkmWltuYaoelfZSJi1fzVuGV2qTOfDPpWjK+Srl +Nr1NWbnBYLYtK4CDAABYR9Fw6JP/raBRSs8Y6d1dn2fUDM79i/m5pBX/+8mh +AdpgGVOyf9EbzLZlBXAQAABCZFXb3/2fezLr/9ESrKsye39hB4NbkqLC4qRV +61MOHUxZtyr5/2fvzMOauNr+X//qVW0ftZbKUmpBEBUElfqIDUvVLlR4utD6 +cyn0d9G6PAi41K1F26evvr4uyNZi9QXXiqiov1q5RLEWFUEErShiRSmrEECW +kEBIJslMfiQkISQzk5lkwmTw/vzVq5g733Pu+5w5c2ZyvjcEA05lMf4uyYP/ ++tf2CnLpSGPe0V8fdlO+0mAIvyB9TfCbHxfQ8s4zE1RYeiazsBXHW4da39Jr +HdZTeXTlnAl2L4528Y8+8tjY2pV5BreBWuRNpxdOCzfD5Yo+ljYQAAB8pJU7 +Az82Z0cck9TlnrnW0nvbgnbXVYqYGIJo24XPvT443dwbS9F06n2v8IttKOl3 +CfI+CtxVSXzIsrz5t9VfpNNZuGLSpw38W2vcHGj6uppPz4Pk8G8vtw/oP2p9 +S7d1PX8lrtpzswWRtd/e86H9SB+ynmOQwWug9mP8M0v87ZzNcWA0C/MbCAAA +EejTs3OnrbpHe0dP1pAZ4eHq4dnLZK+AzcY+0GagaMzgOc041OfQKa9P93UK +OK5ytCb+LvG9ldPezW4lWFX3XurC/aLpz1DSR/9t0nNc0ZK9PLaEkckP68gL +nxlVKNS1glrf0m6drPnK5SbN1Uh8N8bV6V8FQuJ/zcEGaoOf3pR8Pn66m4lr +E/sNZFoGAAwlJA++9Z6+negQfbTr/umkhP3HMg/siv4/Cz9bWSiwbBsI4eel +RgS+tfTQ/oQNEUHu3uGHi7P3bomd7+f21tp8QWfRfEd73YTZeT34VadFxaTP +kaWP/2f61O8f4u/qKfjHgyYuKsId9mhX+Ym4MP+gbxLWhb831dnFLyqz3xib +0rWJxOJ8wPdQ6ECs4/eQiaG57bT61uzWqem6FTlplqGF+cD43GygrP5kXFqF +sOZnX5PXJrYbSEsGADxriG4uGD/9J1xbTLTj6oY5H+79WzXoZdUpU19759xT +o0P46SIuW+3mGHy2BVVirdlBds6Rf3SgSnldmu+4D/JqLgeNcdRdjURF8+3H +zLlKeoWQ1fzk6x5B8B5UV/FCt+k/VhPMv1j7xYBXXWJVi115Y9anDnZzTjZp +dl6YujZR7kDJw++8Pb8uo3XvaXbrVH8V5K+Yu7agk2wq5WQDkdqMuAOVEqWs +lplrk1UbSF0GADyDCAtCxvn+bx3Oo9yu2ysnesT0WTwrGo++5RxwoonCtrmc +f+rL94MMmBdTqJkIe8o3THRZrL7+iIo+Gzdp81+9Nz3Y03M8p38ee1z4mcPY +UO19k/D6vLGm7pvkdfvedP3kBv4cJLg623nG0UYizWpf7ORq9SaXqGiB8xtf +ae2sSa5N/a2bNXH0GB+eQesGQL0DkarEaW6LyZvKWOuUaOeN7WsOVOC/CcHl +BrZXHYk7Uq2+jhBfm2ykgXRkAMCziKjoU1ffvbXGq9Pu25HjnMIK1RcKtOX/ +zXb+54EnOFcwupBcmzLq637xc9Q9b3pyaIYT7xif9HIoq0n1dSO6foluhLn6 +/ozTtD70J7fuO8smeOn2Bpm5b6LRgdKKLd6TYu7SeuhnZuuwnsrMnQfumf6Z +NfcaeO9+/Ns+U3zUTHYe/vwod+/Zq+52E3ye/QZSlQEAzyQ9ZWu83kysMn5h +qz03aPSogGOqdav08f8GOE1LIdpeofd9BtemTXrXpkbkafYCrxDVhl/vXHA2 +dMrinFbyTUSkcpev9wb9R80Kwa3Tv5Z2qq5oSFWCr2cs4Xyhmtym7P5b1fLe +S5y//3adPaj00VYGrk00OlB0c5EHL5P8Mtz3rRa2DnlyLimtpM8eFe0sP3uB +T/imHjcbqEFev/+f7hbv6VmjgWbIAIBnEgX/WKCv+gJhgLz57FdTRo8c/+6y +H3ZtnungtY0BZ2cMabqeEvjyKN8df9S0V+X+x/Ol0bzdV+rb7mdFufxjXGRm +qRDpyI9fsT750OGUjTEJBR2mxnrP/XXTgk426V3AOgsiPDwi8tVbI9LH2/x4 +hA/8eyc3O/t5G3akpCb9sGrzKe3LArLWexd2Br48wn1t1s0qMeGl0fSUQr0D +pY+2+c3dX0/hrtSi1ilac6I8Xhj2nIZhw73j/yZ+iZyDDdSTxsi1yRoNNEMG +ADyb9JR/ExBxk2wUC2+Eu07ayMhb4kwjLPjsrW+IlaGC/I2f7CT4u/6mkHUh +70BMVLIpbOsd+ocv2UjrlNBAcxsIAAAJ3X+umRdP9BK5UvW68TI39+hSM880 +sipIZWLI138SPlFQIa3PTk670oyz+FZPbni7mUxD2oHS+pzUlEtNZm6X2kDr +lNBASxoIAAAhPQ/+Jyy+Au/ihPXUFWVt5o1+ceL3VwW299N2pGrvwh0PTN7P +YUhbO2KwplWIyrJWjh/xyju7c8qE1muZyQ5EJS0CQ200v4K91imhgUw0EAAA +AhStuRu+/t3Eawc2B9p+bXPcpVbbu2QCAAAAjIB23jp4+C4d/ya2wbruHzty +u5Nj11MAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMADtLE5Y +Fsqb5DJ18Z4HYsbe7LdSWBvk2WkpEdADADeQ1l86U07v50tmfARgBklNxsE/ +hagSqUkPHB/C2DmgVgprgzw7LSUCegDgAljX3aSvTzbQOfDLjI8AjIEpehTq +RYG4dCVvCYGrr82EtUGenZYSAT0AcABZ3aEv/ruM1lGtZnyENpgc7slMIL6/ +a2laleXWJIMTlgS2cj34LbU1oAcA20VSsf3D/3pg4M8kqTmz7fuEtAM/b18d ++c0Zw/sj3I+YBmnMO/rrw25T0xCG8AvS1wS/+XEBqXkfJbCeyqMr50ywe3G0 +i3/0kccam3FUWHoms7CVxE2HmlRJ9YmNESEBk19znrEko46hE6/lTacXTgvX +WgsRS8W6yjP357eZd1wgKihMiF6fdOhg0rroxBsCvZOdLArbDwu51sJUB1Jq +An6BWYJxUZkuV1KsnmsAsArSyp2BHxvsNysaj831XX9fdYA31nH5Xz7/91aX +qY+YRN782+ov0ims0DDp0wb+rTVuDiaMZanQ81fiqj03WxBZ++09H9qP9NlV +qb2A9DxIDv/2cjvusKQoVVp34qeLDb0BFS3nFr7u+hW5FwdF5PwzS/ztnPVt +7/CkYpK63DPXWnrXDGh3XaWI5uyCtl343OuD0829H1M0nXrfK/xiG8pA2P5G +sJFr7Xcz04EUm0BcYGZCUFRk5UqOtXMNAFYCfXp27rRV9wZuz8nr02c4vfVT +Ze/IlDccfvuf3w2wvcX9iKmvabsQ7hdN7jOqh/TRf5s0PaeArPnK5SbNZCG+ +G+Pq9K8CofZvWEde+MyoQqHRQpeyVFQm1mxFSSu2zJy7t9byp2+yhtObks/H +T3cbYMlqJFXWkBnh4erh2ctkr4DNdF0dFY0ZPKcZh56oF+K9ufZ1Cjiucgu3 +MKwWdnLdB0MdSLUJZAVmHkRFRViuJmAg14qW7OWxJVTTCQAMIXnwrff07YbO +gWjHlTU+Y8Z99J+929ZsPPLXwFdM8T9CioJ/PGjioiL9+ka7yk/EhfkHfZOw +Lvy9qc4uflGZ/bbZtOcr0mhqum5FTpqlb+CNdfweMjE0t93Q+YemVCUqvJ36 +eVhyBdUtTuJosvqTcWkVwpqffQdOrURSiUH4eakRgW8tPbQ/YUNEkLt3+OHi +7L1bYuf7ub21Nl/QWTTf0V43i3ZeD37VaVExY0/DWcw1Ux1IuwZUGBWYua1Q +/9WoqAibYPVcgyk8wAqimwvGT/+pxnhE9ZTvCJg4arhdYNzFFjm1jxDTVbzQ +bfqP1QM/grVfDHjVJVa1FpQ3Zn3qYDfnZJNmZ4F0vpILG59KjYYoSTTVXwX5 +K+auLejU/5jk4Xfenl+XGawY6UlVdN45uW15sMdLw10ic4ytouhIRWoz4g5U +SpSyWqOplUAqGeKy1W6OwWdbUCXWmh1k5xz5RweqlNel+Y77IK/mctAYR90M +JSqabz9mzlXGnvewlmvmOpBuE5T4BWZWK5RERUXcBCvnGq5NACsIC0LG+f5v +ncFzVqT+8Bcf/viwq/Xa9g/sR0/7bsAGHu5H5PxTX74fZMC8mMK+wSq4Ott5 +xtFGg7lb7ZqdXK3eExEVLXB+Q/fIhmS+ktXt8x3pML/IaI+BOJoS7byxfc2B +CoMH1UhV4jS3xYaLSLpSVWCi4vXuY4OyWwd+AR2p7VVH4o5UqxbOeFMrvlQy +eso3THTp+4So6LNxkzartmWxp+d4Tv889rjwM4exodq1tPD6vLFU19LkWe6D +pVwz2YG0awC/wMxoBUlRETfB2rmeNXH0GB8eXq4BwHqIij519TV8VNJTvtFn +RmKVatBgnde+HO8eVSo28RET33IjzNX3Z8OP6I/N7jvLJnh9/1Czh0G2llYI +Si9dqzWeBoiiYT2VmTsP3DP+lbC0Yov3pJi7Bs/N6Erto/v2V97vnm8z3B+k +LPXe/fi3fab4qJnsPPz5Ue7es1fd1c1U+FLJIJmvMurrfvFz1D2DeHJohhPv +GJ+xZ+Hs5JrRDqTXBMICo98KsqIiboKVcw33TQAr9JSt8Xqz7zLUD1KV9M/J +y/tWnsjfu2f6xf+NmPgIOUhVgq9nrOG4Uo3NKbvVoWU1qf7+2x9pN9ylj7bS +fj6OHw15ci4praTP/hbtLD97ga/TLbq5yIOXaThQqUvFJE21rYh65kCq9330 +b5w9PVpSNcjr9//T3WDZjy+VDMP5apPefNWIPM1e4BWi2gRSoi1nQ6cszmll +zh+YvVxrsLwD6TSBpMDMaQVxURE3wcq5hmsTwAoK/rFA301/GTzIx7ofpK/4 +P8v/68f0vbu+2XjwwYAfeeB/hBzp421+PMMHxb1j085+3oYdKalJP6zafEr7 +KFjWeu/CzsCXR7ivzbpZJaY8kHCiKVpzojxeGPachmHDvfUustJH2/zm7q83 ++tUIVamY4PryqY4ewbHxB49l/JJbI6G+10HQ8D5wplYiqURgSNP1lMCXR/nu ++KOmvSr3P54vjebtvlLfdj8ryuUf4yIzS4VIR378ivXJhw6nbIxJKOhg9AVi +dnLdDwMdSLUJpAVmTiuIi4qoCdbPNVybAHboKf8mIOImrTdEzfiIEhXkb/xk +58BXVfX3NCyHXjRMVLIpbOudLpwLCoek2iZDoAOt3wR6ATlXAwBgOd1/rpkX +T+uNcHM+olQdDpudnHaluX8xqh6b9DYHSaATTVqfk5pyqYnwkRmHpNomQ6AD +rdwEOgG5WQMAYCk9D/4nLL6C1pXGjI+owZC29r7NdKVCVJa1cvyIV97ZnVMm +tHhPiV40VNIiQEwsQTkk1TYZAh1otSbQC8jdGgAAy1C05m74+ndaj0jN+AgA +AAAA0AHtvHXw8F1aZkxmfAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAIBZ0M7ihGWhvEkuUxfveSAesr9zeEaaSQ50AgAAHEFSk3HwTyGq +RGrSA8eHDNljSp+RZpIDnQAAAFfAFD0K9QJaXLqSt6SEMbt5G+MZaSY50AkA +d8Dk3Lix54pO7iK+v2tpWhX9Yx/Nh5WcDn4zbRDoBIANkMa8o78+7DY17DGE +X5C+JvjNjwtoGdXhI6k+sTEiJGDya84zlmTUqc6KRoWlZzILW0lMgNjQqUHe +dHrhtHCtaRFDUrGeyqMr50ywe3G0i3/0kcf4luO0MKdXSUEFhQnR65MOHUxa +F514Q6B3wCPWVZ65P7/N0nNZbb32TDWTpURroFuWpFg91wBAC3nzb6u/SKew +IsKkTxv4t9a4OdA0UcVDWnfip4sNvbOCouXcwtddv/qzz92750Fy+LeX23HH +ACs6td/NP7PE385Z31CPAak9fyWu2nOzBZG1397zof1In12VFvpDmNGr5KBt +Fz73+uB0c+9HFU2n3vcKv9jWN2NhkrrcM9daZL3/pLuuUmTupGXrtWeqmWwl +Wvv19MqSHGvnGgDo0VuR4X7RxVSNDKWP/pu2wTfu18rEmt0ZacWWmXP31mq8 +c7COvPCZUYVCo4UlSzrVyBpOb0o+Hz/dbYDZq8VSZc1XLjdpJinx3RhXp38V +CC0TSrtXTaBozOA5zTj0RL0Ql9en+zoFHFeZlssaMiM8XD08e5nsFbB5oEUg +Dbk2XnummsleojXyaJWlCRjItaIle3lsCT1PVAAgQME/HjRxUZF+PaFd5Sfi +wvyDvklYF/7eVGcXv6jMfk9u2vMDaTQlKryd+nlYckW//zzW8XvIxNDcdoOh +xaJOWf3JuLQKYc3PvgMnAaakqum6FTlplqFJuTlq1X+l2qtKJcLPS40IfGvp +of0JGyKC3L3DDxdn790SO9/P7a21+YLOovmO9rqJtPN68KtOi4oZexrOldpj +Sr8axhJNtywHIddgLg8wSFfxQrfpP1YPHCpY+8WAV11iVWsveWPWpw52c042 +ae7kSecHubDxqdRoSBBGU3TeObltebDHS8NdInNatVsFkoffeXt+XWawPGNN +J1KbEXegUqKU1RpNAgxJVf1VkL9i7tqCTtxJ0Yq9qkJcttrNMfhsC6rEWrOD +7Jwj/+hAlfK6NN9xH+TVXA4a46iboURF8+3HzLnK2DM8rtQeU/qVDCaaflmq +sHKu4doEMIjg6mznGUcbDfaQ1WbWydXqbQhR0QLnN7R78mTzg6xun+9Ih/lF +Rvf0xNFUYKLi9e5jg7JbNaMSqUqc5rbYcMXGks72qiNxR6pVC1W8SYAZqUq0 +88b2NQcq8B+QW7VXVfSUb5jo0vcXUdFn4yZt/qv3RgJ7eo7n9M9jjws/cxgb +ql1LC6/PG0t1LS3nn/ry/SAD5sUU6s/KXKk9IthLtDllqcLauZ41cfQYHx5e +rgGALqIbYa6+P9cabDHoD4fuO8smeH3/ULPzQbZ2VQhKL12rNR55xNH66L79 +lfe759s0n5NWbPGeFHNXbAs6792Pf9tnio+ayc7Dnx/l7j171V3d5MaEVKyn +MnPngXvEHpLW7FUVJPNVRn3dL36OumcQTw7NcOId4zP2LJwrtceMfgYTbVZZ +qrByruG+CWAQpCrB1zPWsI5Vw2HK7r9Vw0FWk+rvv/2RdtNc+mgr7efReNEw +SVNtK6Ieh0j1vo/+3b+vIrq5yIOXaTgq2NKpQ16//5/uBgtUy6UiT84lpZV0 +qt+HQjvLz17gU36Bi4leVWE4X23Sm68akafZC7xCVJtASrTlbOiUxTmtqHEI +M+FK7TGhn+FE66BeliqsnGu4NgFMIn28zY9n+Gy2dzjY2c/bsCMlNemHVZtP +aR/nylrvXdgZ+PII97VZN6vElAsXJxomuL58qqNHcGz8wWMZv+TWSHSrRemj +bX5z99cb/USDHZ394EwClkpVtOZEebww7DkNw4Z7x/9N/d1iRnoVQ5qupwS+ +PMp3xx817VW5//F8aTRv95X6tvtZUS7/GBeZWSpEOvLjV6xPPnQ4ZWNMQkEH +oy8Qc6X2LNXPeKL7oVGW1s81XJsARkEF+Rs/2Tnw1VD9bQTLoRENE5VsCtt6 +pwtn48OmdCpZlkovIIlUdrGpnJrRS7aWaKUN5xoAzEBan52cdqW5f/2nHg6J +VUzOD1SiSetzUlMuNRG+X2srOpWsS6UT0JRUdrGVnJrbSzaUaKWt5xoAzABD +2tr7tuCVClFZ1srxI155Z3dOmdDiPRwa0VBJiwAxsd6zBZ1sS6UXkIpUdrGF +nFrSSzaSaCUXcg0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAtgvaWZywLJQ3yWXq +4j0PxEP5ATyzLbVSvz076QAAACBGUpNx8E8hqkRq0gPHhwzlH1wy21Ir9duz +kw4AAAASMEWPQr06F5eu5C0pYcw4w/ZgtqVW6rdnJx0AQAwm58aWAVd0chrx +/V1L0ygY1zIHW2lltqVW6rfBTwcAWBOkMe/orw+7TY15DOEXpK8JfvPjAgY8 +fCTVJzZGhARMfs15xpKMOtWv3lFh6ZnMwlaS48zY0KlB3nR64bRw7cFlDEnF +eiqPrpwzwe7F0S7+0Uce45snDIZaUlBBYUL0+qRDB5PWRSfeEOidZYd1lWfu +z2+z9EemHEirOS01rnBLoumwejoAwEaQN/+2+ot0CmstTPq0gX9rjZsDA77Y +0roTP11sQFQ+zucWvu6q9bjpeZAc/u3ldtzRxYpO7Xfzzyzxt3PWP1STAak9 +fyWu2nOzBZG1397zof1In12VzJx0Q1MtOWjbhc+9Pjjd3PtRRdOp973CL7b1 +TYeYpC73zLUWWe8/6a6rFJk7I3IgrWa1lKDCLe03a6cDAGyF3loP94suNnI0 +I4C2LzbR18rEmq0ZacWWmXP3al1wsI688JlRKpNP29CpRtZwelPy+fjpA03c +LJYqa75yuUlzNRLfjXF10jliD6ZaEygaM3hOOluf+nRfp4DjKvsFWUNmhIer +h2cvk70CNpeTeMUqWrKXx5bgdwcH0kqjpfoQVLiZ0bQwkA4A4AQK/vGgiYsG +mG2iXeUn4sL8g75JWBf+3lRnF7+ozP5z+WlPDqTRlKjwdurnYckV/X5vWMfv +IRNDc9sN5lAWdcrqT8alVQhrjAxGGZKqputW5KRZhnYLg6FWqUT4eakRgW8t +PbQ/YUNEkLt3+OHi7L1bYuf7ub21Nl/QWTTf0V530ey8HvwqVTtUHSTWCRxK +qxlfof6rUYWbwOrpAABO0FW80G36j9UD50Ss/WLAqy6xqrWjvDHrUwe7OSeb +NHsEpJODXNj4VGo0pAmjKTrvnNy2PNjjpeEukf3+bpKH33l7fl1msPBjTSdS +mxF3oFKCa37NjFTVXwX5K+auLcA3sbauWhXistVujsEqVzmsNTvIzjnyjw5U +Ka9L8x33QV7N5aAxjrrpT1Q0337MnKv07ltIrk0cSisJNCvcFFZOBwBwAsHV +2c4zjjYaDBt9yxhR0QLnN3S75SSTg6xun+9Ih/lFRvszxNFUYKLi9e5jg7Jb +NbMKUpU4zW2x4VqQJZ3tVUfijlSrVsF4kxgzUpVo543taw5U4L8JYW21Kkis +uo89LvzMYWyodqEuvD5vLNWFupx/6sv3g1TMmjh6jA9P/Z/zYgr1r8AcSisZ +9CrcFNZOhx4G6QAA20F0I8zV9+dag70k/bHWfWfZBK/vH2r2JMgWrgpB6aVr +tcZTLHG0Prpvf+X97vk2zeekFVu8J8UYOl2zo/Pe/fi3fab4qJnsPPz5Ue7e +s1fd1U07TEjFeiozdx64JyKcIaysVgXJZJhRX/eLn6PuAceTQzOceMeompZr +W0B838ShtJJBr8JNYeV0AAAnQKoSfD1jDcehaqxN2a32jZbVpPr7b3+k3UCX +PtpK+2E0XjRM0lTb2mc1g1Tv++jf/TseopuLPHiZhuONLZ06cMyvGZCKPDmX +lFbSqX7TCu0sP3uBT/lNPYbUqjCcDDfpTYaNyNPsBV4hqh0mJdpyNnTK4pxW +yo7ofZBcmziUVrpfQVzhprByOgCAG0gfb/PjGT6E7x1rdvbzNuxISU36YdXm +U9pHu7LWexd2Br48wn1t1s0qMeUhgRMNE1xfPtXRIzg2/uCxjF9yayS6JaX0 +0Ta/ufvrjX5iwo7OfnAmMUulKlpzojxeGPachmHDveP/pv4SOVNqMaTpekrg +y6N8d/xR016V+x/Pl0bzdl+pb7ufFeXyj3GRmaVCpCM/fsX65EOHUzbGJBR0 +0F6lk1ybuJRWel9BXOHkWD8dAMARUEH+xk92DnzpVH+PwnJoRMNEJZvCtt7p +whnINqVTybJU2gFJ1LILh9LK1FcAAEARaX12ctqV5v7Fq3qsJVYxOTlQiSat +z0lNudRE+CK1rehUsi6VZkBTatmFQ2ll4CsAAKADhrS1922OKxWisqyV40e8 +8s7unDKhxTsGNKKhkhYBYmK9ags62ZZqFbXswqG0WvgVAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAPBMgHYWJywL5U1ymbp4zwMxY28tWCkswApQJAAADC6SmoyD +fwpRJVKTHjg+hOBXqjYTFmAFKBIAAAYZTNGjUC9YxaUreUtKmLI8sFJYgBWg +SADAFJicM3f+HJLai/j+rqVpFBxgbSMsCdzqdm4xZIoEACiANOYd/fVht6kJ +BUP4Belrgt/8uMByxxisp/LoyjkT7F4c7eIffeSx5vhoVFh6JrOwleQsMxak +apE3nV44LVx79pppqXhIqk9sjAgJmPya84wlGXX6BwlgXeWZ+/PbzPvxJioo +TIhen3ToYNK66MQbAr2z5iwK2w+Hup2SVPzyY0EtHlwtEgBgFnnzb6u/SKew +ZMKkTxv4t9a4OTBgit3zV+KqPTdbEFn77T0f2o/02VWpHYI9D5LDv73cjjtO +WJGq/W7+mSX+ds7654KSScVFWnfip4sNiMqm/NzC1137XX4wSV3umWstst4J +pLuuUkRzkkDbLnzu9cHp5t6PKZpOve8VfrENZSCsDg51O0WpxOU3qGpx4WiR +AADD9JZsuF90sZEjGwG0TbHxkTVfudykmQ7Ed2NcnXQ20ypP7LzwmVEqE1Gb +kKoR3HB6U/L5+OkDfegIpRKAysSa3S5pxZaZc/dqjItkDZkRHq4enr1M9grY +XE7dcVWNojGD56Tz9KlP93UKOK5yeLAwrE40d7qdqlSy8hs8tQTYbJEoWrKX +x5ZQrQMAsAwF/3jQxEUDzELRrvITcWH+Qd8krAt/b6qzi19UZr+vAO2ZhzSa +mq5bkZNm6dskYB2/h0wMzW03GMwsSpXVn4xLqxDWGHmkEkg10WpUeDv187Dk +ComSIgg/LzUi8K2lh/YnbIgIcvcOP1ycvXdL7Hw/t7fW5gs6i+Y72utm187r +wa9S9UKlAoe6na5UNUblN1hqOVckZF4nAMA0XcUL3ab/WD1wZGLtFwNedYlV +LfXkjVmfOtjNOdmkudUnnXnkwsanUqPlIUk01V8F+Svmri0Y4Awtefidt+fX +ZQZLONakIrUZcQcqJbj+3fhSyYQpOu+c3LY82OOl4S6R1P3mxGWr3RyDVZZy +WGt2kJ1z5B8dqFJel+Y77oO8mstBYxx1E42oaL79mDlXGXvew6FupytViV9+ +g6SWTJtNFglcm4DBRHB1tvOMo40G1a/vRyMqWuD8hm7Tm2TmkdXt8x3pML/I +6KafOJoS7byxfc2BCoNH0UhV4jS3xYarOpaktlcdiTtSrVrP4k07+FJNtFqp +sgkqXu8+Nii71XKf7mOPCz9zGBuqXRILr88bS3VJLOef+vL9IAPmxRTqT9Uc +6na6UgnKb5DUmtCmtL0imTVx9BgfHl6RAADjiG6Eufr+XGuwo6E/ZLrvLJvg +9f1DzdYC2apYISi9dK3WeKATRcN6KjN3HrgnMvqAtGKL96QYQ6dudqTeux// +ts8UHzWTnYc/P8rde/aqu7oJBF8qubA+um9/5f3u+TbLp52M+rpf/Bx1jxKe +HJrhxDtGx1GcHA51Oz2phOU3SGrJtGmxqSKB+yZgMEGqEnw9Yw2HjWrITNmt +NgiX1aT6+29/pN0Hlz7aSvtJN3405Mm5pLSSTvW7Qmhn+dkLfN2rUqKbizx4 +mYYjhz2pGnD8uwmkEoXCJE21rX0GQUj1vo/+TX27xnDa2aQ37TQiT7MXeIWo +9nKUaMvZ0CmLc1opO5abhEPdTkcqSfkNklqiUDZbJHBtAgYV6eNtfjzDR8G9 +Q8bOft6GHSmpST+s2nxK+4RW1nrvws7Al0e4r826WSWmXNk40RStOVEeLwx7 +TsOw4d7xf+vmBumjbX5z99cb/SiEHan94Ew7RFLxQ2GC68unOnoEx8YfPJbx +S26NhOJ6GEOarqcEvjzKd8cfNe1Vuf/xfGk0b/eV+rb7WVEu/xgXmVkqRDry +41esTz50OGVjTEJBB6PvAXOo26lKJS2/QVOLH8p2iwSuTcDgggryN36yc+C7 +o/pbDZZDLxomKtkUtvVOF86Q5JBUpoWxCYe63fpSaQd8RooEAKyBtD47Oe1K +c/9yUz1kEquYnHkoRpPW56SmXGoifKOXO1KZFcYy3Ol2a0ulGfBZKhIAsAYY +0tbet8etVIjKslaOH/HKO7tzyoQW7w7Ri4ZKWgSIiU0MLkhlVphNwIVut7ZU +ZtUOwSIBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAK6CdhYnLAvlTXKZunjPAzEc +XgMMKlB+AADgIanJOPinEFUiNemB40Pg55jAoALlBwAALpiiR6FerYpLV/KW +lDDmxwEAFIDyAwjA5Jy5i+aQVC4ivr9raRoFP1zm4FBCOSSVowx++QGDDtKY +d/TXh92mxhKG8AvS1wS/+XGB5e5AWE/l0ZVzJti9ONrFP/rIY81pz6iw9Exm +YSve0WPsSVVKqk9sjAgJmPya84wlGXUIgzqNIzOAvOn0wmnh2iPdTEslBRUU +JkSvTzp0MGlddOINgd4ReVhXeeb+/DZLfzQKtUcFujmF8gOGAPLm31Z/kU5h ++YFJnzbwb61xc2DAcbvnr8RVe262ILL223s+tB/ps6tSOzJ6HiSHf3u5Hbfm +WJEqrTvx08UGROVJfW7h665ahx0GdBJEtgw5/8wSfztn/eNGyaSSg7Zd+Nzr +g9PNvR9VNJ163yv8Ylvf9IBJ6nLPXGuR9f6T7rpKkbkzBNQeJWjmFMoPGAr0 +pj/cL7rYyECNANqO2/jImq9cbtLMCOK7Ma5OOrdolYV1XvjMKJUXqE1IVaIy +sWZ3RlqxZebcvVp/IMt1EkW2AFnD6U3J5+OnD7S3I5RqAkVjBs9JZ/pTn+7r +FHBcZfUga8iM8HD18OxlslfA5nJjR9f+EC3Zy2NL8PsCao+aYHo5hfIDhgQK +/vGgiYsGeHuiXeUn4sL8g75JWBf+3lRnF7+ozH4bANqDjjSamq5bkZNm6Rsb +YB2/h0wMzW03KGWWpaLC26mfhyVX9Hu/MaQTJ7K5OmX1J+PSKoQ1RtarBFKV +SoSflxoR+NbSQ/sTNkQEuXuHHy7O3rsldr6f21tr8wWdRfMd7XVTd+f14Fep +mqX29waxsQLUHpVodHMK5QcMDbqKF7pN/7F64IoJa78Y8KpLrGqhI2/M+tTB +bs7JJs1tM+mgkwsbn0qN6o8kmuqvgvwVc9cWDDB4ljz8ztvz6zKD5RCbUhWd +d05uWx7s8dJwl8h+rzcmdOJHNksnUpsRd6BSgmsLji9VhbhstZtjsMpzDmvN +DrJzjvyjA1XK69J8x32QV3M5aIyjbjoQFc23HzPnKr2bAZJrE9Se6Wj0cwrl +BwwNBFdnO8842mhQlPq2MqKiBc5v6PaiSQadrG6f70iH+UVGmwnE0ZRo543t +aw5UGPheI1WJ09wWG66QWJaqVFnxFK93HxuU3YoxqRMvshk626uOxB2pVi1g +8SYHfKkqSIy8jz0u/MxhbKh24Sq8Pm8s1YWrnH/qy/eDVMyaOHqMD0/9n/Ni +CvWvA1B7pqKZk1MoP6V++elhUH6AjSO6Eebq+7PhTrN+7XXfWTbB6/uHmjt+ +sgWhQlB66Vptj1H6iaJhPZWZOw/cExl9QFqxxXtSjKG3NptStXTf/sr73fNt +GJM68SLT13nvfvzbPlN81Ex2Hv78KHfv2avu6uYffKkqSCaHjPq6X/wcdRv+ +Tw7NcOIdw7MWJ4Hkvglqz0Q0s3IK5QcMDZCqBF/PWMOiUdXelN1qm2pZTaq/ +//ZH2u1p6aOttB/y4kdDnpxLSivpVL93g3aWn73A173DKrq5yIOXaViFbEnF +JE21rX0mPEj1vo/+3b/1YalO4sjm6NSBYwtOIFWF4eSwSW9yaESeZi/wClHt +uCjRlrOhUxbntFI2Wu+D5NoEtUcxmpJOTqH8gCGC9PE2P57+02AVvbVnZz9v +w46U1KQfVm0+pX1wKmu9d2Fn4Msj3Ndm3awSU64SnGiK1pwojxeGPadh2HDv ++L9104P00Ta/ufvrjX4SwY5UTHB9+VRHj+DY+IPHMn7JrZHoVpGW6iSObI7O +fnAmByKpGNJ0PSXw5VG+O/6oaa/K/Y/nS6N5u6/Ut93PinL5x7jIzFIh0pEf +v2J98qHDKRtjEgo6aK9aSa5NUHtUovVBI6dQfsAQARXkb/xk58D3MPXv2S2H +XjRMVLIpbOudLpyRYlNSuaJTSSqVXTjUUSDV7Gg2W36A7SOtz05Ou9Lcv9JS +115iFZOVTDGatD4nNeVSE+EvLWxFKld0Kk1LZRcOdRRINSeabZcfYPtgSFt7 +39azUiEqy1o5fsQr7+zOKRNafBNNLxoqaREgJtZXtiCVKzopSmUXDnUUSB16 +5QcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAVEE7ixOWhfImuUxdvOeBGB6HA4MK +lB8AAHhIajIO/ilElUhNeuD4EIJf3wKAdYDyAwAAF0zRo1CvVsWlK3lLSsDa +ABhMoPwAAjA5N+6iuaKTu4jv71qaRsEuljkgp4COwS8/gEGwnsqjK+dMsHtx +tIt/9JHHxscOq0Ea847++rDb1LDHEH5B+prgNz8uYMBoRVJ9YmNESMDk15xn +LMmoU/0MHRWWnsksbDU6mYtdnRrkTacXTgvXniTGlFTjTmBBKimooDAhen3S +oYNJ66ITbwj0TpDDusoz9+e3Wfp7z6GWU2ojjg7WGylQfgBr9PyVuGrPzRZE +1n57z4f2I312VRoXoLz5t9VfpFNYfmDSpw38W2vcHBgwpJbWnfjpYgOi8vU+ +t/B1V63jTM+D5PBvL7fjFhwrOrXfzT+zxN/OWf+USwakEnTCoEolB2278LnX +B6ebez+qaDr1vlf4xba+6QGT1OWeudYi6/0n3XWVInNniKGXUyojjhbWGylQ +fgB7yJqvXG7SjA3x3RhXJ50Jso7e9If7RRcbWYwRQNuQmgBUJtbszkgrtsyc +u1frSYN15IXPjFK5btqGTjWyhtObks/HTx/oqma5VKJOGDypJlA0ZvCcdCY7 +9em+TgHHVWYIsobMCA9XD89eJnsFbC7H8TzVhWjJXh5bgt8XQzCnFEYcTaw3 +Up718gNsha5bkZNmGR6vr1TwjwdNXDTA/RLtKj8RF+Yf9E3CuvD3pjq7+EVl +9h+UT3t+II3We8d/O/XzsOSKfi80rOP3kImhue2GTmjs6ZTVn4xLqxDWGDl+ +MiQVpxMGS6pSifDzUiMC31p6aH/Choggd+/ww8XZe7fEzvdze2ttvqCzaL6j +vW527bwe/CpVc9L+3iD20RjKOVWBP+LMUKv+q7VGyjNbfoCNgAnyV8xdW2Dk +W9xVvNBt+o/VA8cP1n4x4FWXWNVCR96Y9amD3ZyTTZrbZtL5QS5sfCo1qj/C +aIrOOye3LQ/2eGm4S2S/95nk4Xfenl+XGayFWNOJ1GbEHaiU4LpRMyEVvxMG +SaoKcdlqN8dglccb1podZOcc+UcHqpTXpfmO+yCv5nLQGEfddCAqmm8/Zs5V +evctJJPDkM1p318JRhxttUprjpRnuPwAmwDtvLF9zYEKnOeygquznWccbTQo +Sn0PF1HRAuc3dHvRJPODrG6f70iH+UVGN9DE0VRgouL17mODsls14pCqxGlu +iw2XRyzpbK86EnekWrUqxBtxzEjF64RBkqqCxDj72OPCzxzGhmoXrsLr88ZS +XbjK+ae+fD9IxayJo8f48NT/OS+mUH+qHso5JR5xNNVafaTgRTZDJ/fKD2Af +rKcyc+eBeyLctIhuhLn6/my406xfe913lk3w+v6h5o6fbO2qEJReulZrPByJ +o/XRffsr73fPt2k+J63Y4j0pxtB3mh2d9+7Hv+0zxUfNZOfhz49y95696q5u +UDMjFa8TBkmqCpLJIaO+7hc/R92G/5NDM5x4x/DMt0kgWbgO2ZySjjh6aq0/ +UvAi09fJwfID2AZ5ci4praRT/XoL2ll+9gJ/wHtDSFWCr2esYdGoam/KbrWb +tawm1d9/+yPt9rT00Vbaz6PxomGSptrWPu8XpHrfR//u308Q3Vzkwcs0LEG2 +dOrAcaO2WCpxJwySVBWGk8MmvcmhEXmavcArRLXjokRbzoZOWZzTStmHvA+S +yWFI5tTkiKOr1noj5RkvP4BVFK05UR4vDHtOw7Dh3vF/GwwU6eNtfjzDB7a9 +tWdnP2/DjpTUpB9WbT6lfXAqa713YWfgyyPc12bdrBJTrhKcaJjg+vKpjh7B +sfEHj2X8klsj0S3NpI+2+c3dX2/0ewh2dPaDM+IslUrcCYMmFUOarqcEvjzK +d8cfNe1Vuf/xfGk0b/eV+rb7WVEu/xgXmVkqRDry41esTz50OGVjTEJBB+23 +dckmhyGYUwojjp5a642UZ778AFsHFeRv/GTnwPcw9e/ZLYdGNExUsils650u +nGFiUzqVQ0Uqu3Coo6wvlV5AKD/gWUBan52cdqW5f6Wlrr3EKiYrmUo0aX1O +asqlJsKXbm1Fp3JISWUXDnWUlaXSCQjlBzwzYEhbe9/Ws1IhKstaOX7EK+/s +zikTWvyLaxrRUEmLADGxuLIFnUNPKrtwqKOsJpVeQCg/AAAAAAAAAAAAAAAA +AAAAAAAAAAAAAKAH2lmcsCyUN8ll6uI9D8RD9kk2s820Uqc9I7kAAAAwhaQm +4+CfQlSJ1KQHjg8Zsr9cZLaZVuq0ZyQXAAAAJsEUPQr1Al1cupK3pISeKwF3 +YLaZVuq0ZyQXAGAKTA67BoAG8f1dS9MomNIyByvlx2wzrdRpg58LALAySGPe +0V8fdpsa8xjCL0hfE/zmxwUM+IpKqk9sjAgJmPya84wlGXWqn4+jwtIzmYWt +Ridq0dSJ9VQeXTlngt2Lo138o488xrcgMAd50+mF08K1h4AxpBanH1iQSgoq +KEyIXp906GDSuujEGwK9c+qwrvLM/fltlv5U09bLz4JmDkyEpdEGIRcAYDvI +m39b/UU6heUWJn3awL+1xs2BAc9rad2Jny42ICpD5HMLX3fVOsX0PEgO//Zy +O+4Ao6iz56/EVXtutiCy9tt7PrQf6bOrkpn5Xs4/s8Tfzln/gEoG1BL0w6BK +JQdtu/C51wenm3s/qmg69b5X+MW2vhkRk9TlnrnWIuv9J911lSJzJ0VbLz9L +mmmcCMs6zdq5AAAborfcw/2ii42swQig7XlN9LUysWZrRlqxZebcvVovGawj +L3xmlMot00ydsuYrl5s0VyPx3RhXJ51fs0XIGk5vSj4fP32gIZrFagn7YfCk +mkDRmMFz0vnj1Kf7OgUcV/kYyBoyIzxcPTx7mewVsLkcx65UF6Ile3lsCX5f +2Hr50WimEcaJsCSakpFcAABXUPCPB01cNMC1Eu0qPxEX5h/0TcK68PemOrv4 +RWX2H3BPe3IgjaZEhbdTPw9Lruj3MMM6fg+ZGJrbbuhgRlOnmq5bkZNmGToB +mCNVVn8yLq1CWGNk1smUWuN+GCypSiXCz0uNCHxr6aH9CRsigty9ww8XZ+/d +Ejvfz+2ttfmCzqL5jva663vn9eBXqfqK9vcGsQcBV8rPjPiEiSDD6rkAAK7Q +VbzQbfqP1QOnb6z9YsCrLrGq5aO8MetTB7s5J5s02wSkk4Nc2PhUajSqCaMp +Ou+c3LY82OOl4S6R/Z5lkoffeXt+XWaw9qOrU/VXQf6KuWsL8C2W6UhFajPi +DlRKcI2kmVCL3w+DJFWFuGy1m2Owyp4Na80OsnOO/KMDVcrr0nzHfZBXczlo +jKNuBhQVzbcfM+cqvfsWkmsTV8qPBPqJIMXKuQAAriC4Ott5xtFGgwlR33tF +VLTA+Q3dcxCSyUFWt893pMP8IqNxSBxNBSYqXu8+Nii7VTOrIFWJ09wWGy4H +6epUop03tq85UIH/JgQdqe1VR+KOVKvWwnjzDENqcfphkKSqIPG8Pva48DOH +saHatbrw+ryxVNfqcv6pL98PUjFr4ugxPjz1f86LKdRfLHCl/MignQhSrJ0L +PQxyAQA2hehGmKvvz4ZPOfSHW/edZRO8vn+o2fYgW7gqBKWXrtUaXw2Io/XR +ffsr73fPt2k+J63Y4j0pxtAvmp5OrKcyc+eBeyLCkUdd6r378W/7TPFRM9l5 ++POj3L1nr7qrm9yYUIvfD4MkVQXJfJhRX/eLn6PuGceTQzOceMfwfLNJILlv +4kr5kUE7EaRYORcAwBWQqgRfz1jDoagablN2q42iZTWp/v7bH2n36KWPttJ+ +GI0XDZM01bb2ebYg1fs++nf/poro5iIPXqbhkKOjE3lyLimtpFP9BhPaWX72 +Ap/ym3rEDVfiGklbrJa4HwZJqgrD+XCT3nzYiDzNXuAVotpkUqItZ0OnLM5p +pex23gfJtYkr5Uc3vg68RJBi5VwAAGeQPt7mxzN8X6B3uNnZz9uwIyU16YdV +m09pnx7LWu9d2Bn48gj3tVk3q8SURwVONExwfflUR4/g2PiDxzJ+ya2R6Fa7 +0kfb/Oburzf6lQlVnYrWnCiPF4Y9p2HYcO/4v6m/RE7Q8D5w5hlL1RL3w6BJ +xZCm6ymBL4/y3fFHTXtV7n88XxrN232lvu1+VpTLP8ZFZpYKkY78+BXrkw8d +TtkYk1DQQXuhTnJt4kz50YvfD71rk/VzAQDcARXkb/xk58D3TvW3KSyHRjRM +VLIpbOudLpwp2vo6aQdkVS1jUtnFpjrKrF5ivAgBANAgrc9OTrvS3L94VQ+3 +xComJwcq0aT1Oakpl5oI3/m2sk6aAVlWy6RUdrGVjjKzlxgvQgAA+sGQtva+ +/XelQlSWtXL8iFfe2Z1TJrR404BGNFTSIkBMLFmtppN2QFbVMi+VXWyho8zq +JcaLEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAC4D9pZnLAslDfJZeriPQ/EjL2y +YKWwwCAD5QEAABtIajIO/ilElUhNeuD4EIKfqNpMWGCQgfIAAIAVMEWPQr1s +FZeu5C0pYcrywEphgUEGygMAKIPJObMFwCGp4vu7lqZRsH+1jbAkcKjPOcSQ +KQ8AoAPSmHf014fdpuYUDOEXpK8JfvPjAstNY7CeyqMr50ywe3G0i3/0kcea +46NRYemZzMJWkuPMWJCqlFSf2BgREjD5NecZSzLqEEo6SZA3nV44LXyg8V9X +eeb+/DbzfryJCgoTotcnHTqYtC468YZA76A5i8L2w5U+p6QTv/AGWyoJnCsP +ALAS8ubfVn+RTmHthEmfNvBvrXFzYMAUu+evxFV7brYgsvbbez60H+mzq1J7 +5kvPg+Twby+34w4YVqRK6078dLEBUXmLn1v4uqvW/YdMJxly/pkl/nbOeud/ +YpK63DPXWmS900h3XaWIZkS07cLnXh+cbu79mKLp1Pte4RfbUAbC9uvlSJ9T +1ElceIMnlQyulQcAWIve2g33i6Z8iD9tU2x8ZM1XLjdpJgXx3RhXJ53TtMoW +Oy98ZpTKR9QmpCpRmVizSyWt2DJz7l6t2xChTjJkDac3JZ+Pn97vNydryIzw +cPXw7GWyV8DmcuqOq2oUjRk8J52nT326r1PAcZXDg4VhtXClz6nqJCu8QZJK +Ks8Gy0PRkr08toS6ywcAMIKCfzxo4qIBZqFoV/mJuDD/oG8S1oW/N9XZxS8q +s//cf9qTD2k0NV23IifN0rdJwDp+D5kYmttuaLLHrlRUeDv187Dkin5fOgKd +JHFk9Sfj0iqENbS8UBF+XmpE4FtLD+1P2BAR5O4dfrg4e++W2Pl+bm+tzRd0 +Fs13tNdNsJ3Xg1+l6oVKBa70OV2daowKb1Ckcq48yCxOAMBqdBUvdJv+Y/XA +8Ym1Xwx41SVWteaTN2Z96mA352ST5p6fdPKRCxufSo3WiSTRVH8V5K+Yu7Zg +gDm05OF33p5flxms5diUqui8c3Lb8mCPl4a7RPb70OHrJIyD1GbEHaiU0Pfp +FpetdnMMVlnKYa3ZQXbOkX90oEp5XZrvuA/yai4HjXHUTTeiovn2Y+ZcZeB5 +Tx9c6XO6OpX4hTcYUgnj2Gp5wLUJYAXB1dnOM442Guw261vSiIoWOL+h3UUn +m3xkdft8RzrMLzIaVMTRlGjnje1rDlQYPJBGqhKnuS02XN6xLFWpsvcpXu8+ +Nii7FSPTSRCnvepI3JFq1QKZ9uRD4tN97HHhZw5jQ7ULY+H1eWOpLozl/FNf +vh9kwLyYQv3Zmit9TlcnQeENhlSCODZcHrMmjh7jw8MrDwCwHqIbYa6+P9ca +7Gvoj53uO8smeH3/ULNXQbYwVghKL12rNR7uRNGwnsrMnQfuiYw+IK3Y4j0p +xtCpm02pWrpvf+X97vk2jEwnfpx79+Pf9pnio2ay8/DnR7l7z151t9v4oziQ +TD4Z9XW/+DnqHig8OTTDiXeMjqM4OVzpc3o6CQtvMKTix7Hh8oD7JoAVkKoE +X89Yw/GjGjtTdqu9zGU1qf7+2x9pN9alj7bSftiNHw15ci4praRT/dIQ2ll+ +9gJf98KU6OYiD16m4RBiSyomaapt7TP2Qar3ffTv/k0bfJ3kqpR0fbqVxpPP +Jr3JpxF5mr3AK0S1o6NEW86GTlmc00rZrtwkXOlzOjpJCm8wpBIL02Br5QHX +JoAdpI+3+fEMHwj3jh07+3kbdqSkJv2wavMp7SNfWeu9CzsDXx7hvjbrZpWY +conjRFO05kR5vDDsOQ3DhnvH/62bIaSPtvnN3V9v9OsQdqRiguvLpzp6BMfG +HzyW8UtujUS3mibSSayqD3qTD4Y0XU8JfHmU744/atqrcv/j+dJo3u4r9W33 +s6Jc/jEuMrNUiHTkx69Yn3zocMrGmISCDkbfBuZKn1PVSVp4gyMVP04/tlYe +cG0CWAIV5G/8ZOfAl0j19xwsh140TFSyKWzrnS6cDRebkkqik2lVbMKVPre+ +TnoBn5HyAACrIq3PTk670ty/6FSPncQqJicfitGk9TmpKZeaCN/rtRWpJnQy +q4plONLn1tZJJ+CzVB4AYFUwpK29b9NcqRCVZa0cP+KVd3bnlAkt3iCiFw2V +tAgQEy8C2YJUUp3MqrIJbL7Pra2TQalDsDwAAAAAAAAAAAAAAAAAAAAAAAAA +AACAQQLtLE5YFsqb5DJ18Z4HYktPWmE2mrXD2iC2nA7IwpDnmW04YHtIajIO +/ilElUhNeuD4EEt/O8hsNGuHtUFsOR2QhSHPM9twwAbBFD0K9fJIXLqSt6TE +QtsIZqNZO6wNYsvpgCwMeZ7Zhj9jYHIu3RKL7+9amkbBtpWNaNYOSwJbSbTl +dEAWhjzPbMM5C9KYd/TXh92mxgmG8AvS1wS/+XGB5QZBWE/l0ZVzJti9ONrF +P/rIY82Zz6iw9ExmYSveGWQkSKpPbIwICZj8mvOMJRl1+r+2x7rKM/fnt5nz +C0d50+mF08IHHGtmQTTVoTqFCdHrkw4dTFoXnXhDoHfcnEVh+2EhiVoG9hVx +Es1oKX6dmBvNOqWizxDIAqUmkOTFTIxTY0OzAcAK8ubfVn+RTmEtgUmfNvBv +rXFzYMB0u+evxFV7brYgsvbbez60H+mzq1JbRD0PksO/vdxOvYCkdSd+utiA +qMyjzy183bXfUgeT1OWeudYi6y3y7rpKEa2SlPPPLPG3c9Y7ctOSaGrP8M+9 +Pjjd3PsxRdOp973CL7ahDITt18tGErXfbdRXuEk0q6WEdWJWNKuUih5DIAsU +m0A8fs2EIDW2MRsArNA7aYb7RVM+kZ+26TY+suYrl5s01Sy+G+PqpLONVnlZ +54XPjFKZglIDlYk1OyPSii0z5+7VuPjIGjIjPFw9PHuZ7BWwudzYfpREXsPp +Tcnn46f3W7xZEq0XRWMGz0lno1Of7usUcFxlnkAjrKIle3lsCX6e2EliH8Z9 +pcIoieZ1IFGdmJkOK5SKfnTuZ4FqE8jGr3kQpIaF2YBsoAGDiIJ/PGjiogEO +n2hX+Ym4MP+gbxLWhb831dnFLyqz/xB/2gOKNJqarluRk2bp2xtgHb+HTAzN +bTcsR/JQqPB26udhyRUSJTWIo8nqT8alVQhraNmPIvy81IjAt5Ye2p+wISLI +3Tv8cHH23i2x8/3c3lqbL+gsmu9orxu/ndeDX6VqP6qDxKqAxSQS9hVREul/ +hRajOjE7Gt1SocYQyALdJqihkxeTAY1TMzizgR7gCWIjdBUvdJv+Y/XAwsLa +Lwa86hKrWqzIG7M+dbCbc7JJcw9MOqDkwsanUqNhQBJN9VdB/oq5awsGOD1L +Hn7n7fl1mfHahjCUovPOyW3Lgz1eGu4S2W/uZgL8aEhtRtyBSgl9a2xx2Wo3 +x2CVixvWmh1k5xz5RweqlNel+Y77IK/mctAYR93VSFQ0337MnKv0VswkQ4a1 +JJL1FWESiaBfJ2ZFM6tUqDAEskC3CUoTeaE5IeCnZpBmAx1wbbIRBFdnO884 +2miQP31/GVHRAuc3dNu2JANKVrfPd6TD/CKj2Zw4mhLtvLF9zYEKgyepSFXi +NLfFePcVJKGUKs+c4vXuY4OyWylOYDjR2quOxB2pVq2/aF+bSKyxjz0u/Mxh +bKj2vkl4fd5YqvdNcv6pL98PUjFr4ugxPjz1f86LKdSfDFhKInlfESeRCNp1 +Ym40Je1S6c+CHkMvC3SbQJ4XcyYEpXFqBmk2oDLQgMFEdCPM1ffnWoMbcv2k +d99ZNsHr+4eam2OyxZ5CUHrpWq1xnRJFw3oqM3ceuCcy+oC0Yov3pBhDh21y +YX103/7K+93zbWZcm/qi3bsf/7bPFB81k52HPz/K3Xv2qrvdpgKpIbk2ZdTX +/eLnqHve9OTQDCfeMTyzbhJIlnPsJNFEXxEnkQjadWJWNC30SoUCQyAL9Jpg +Mi90JwQtA1MzWLOBTjXcN9kGSFWCr2esYeJVSZ+yW21WLatJ9fff/ki7kyt9 +tJX2A1z8aMiTc0lpJZ3qt9XQzvKzF/i6N31ENxd58DLx5m68UJikqba1zy0H +qd730b+p38UTN1NJ1xpbaXxt2qR3bWpEnmYv8ApRbfgp0ZazoVMW57RSNi3v +g2TIsJdEDXh9RZxEel9BUie0o5lfKhQYAlmg0wRz80IQkDg1gzUbaIFrk60g +fbzNj2f4JLM36Xb28zbsSElN+mHV5lPaZ4yy1nsXdga+PMJ9bdbNKjHluRUn +mqI1J8rjhWHPaRg23Dv+b11pSx9t85u7vx7vZw04oTDB9eVTHT2CY+MPHsv4 +JbdGQn2ZRNDMPuhdmzCk6XpK4MujfHf8UdNelfsfz5dG83ZfqW+7nxXl8o9x +kZmlQqQjP37F+uRDh1M2xiQUdNCeFMmGDDtJ7Aenr0iSSOMrSOuEdjQLSoUK +QyALVJtgQV7wAxKnZtBmAy1wbbIZUEH+xk92DnypUv9m2XLoRcNEJZvCtt7p +wi0qNoXZMpxKIjNfMbjRKDEEsmD9JtALOIizAWCLSOuzk9OuNPevltRJT6xi +ckBRjCatz0lNudRE9EIqe8JsHu4kkYmvGOxoVOF+FqzdBDoBB3U2AGwUDGlr +79ulVSpEZVkrx4945Z3dOWVCi/fj6UVDJS0ChGiZx6YwTsCFJDLzFYMbjR5c +zoIGqzWBXsBBnA0AAAAAAAAAAAAAAAAAAAAAAAAAAACAZxi0szhhWShvksvU +xXseiOE8l6EM5BoAAI4gqck4+KcQVSI16YHjQ+AXikMZyDUAAFwBU/Qo1Ato +celK3pISejYfAKeAXANcA5Nz4/aeKzq5iPj+rqVpFAxeBxeuZJwrOvuwzVwD +zwZIY97RXx92mxowGMIvSF8T/ObHBQyYdUqqT2yMCAmY/JrzjCUZdarfdqPC +0jOZha0kh3+xoVODvOn0wmnh2sPKGJKK9VQeXTlngt2Lo138o488pmMBwaxa +PIwTpJPdVZ65P7/Nsh88Ums7VKZJGMg1SS5M5Zpaw4lryQKYKHLAppE3/7b6 +i3QK6yJM+rSBf2uNmwMDRtLSuhM/XWxAVA7I5xa+7qo1Xul5kBz+7eV23JHA +ik7td/PPLPG3c9Y/SJMBqT1/Ja7ac7MFkbXf3vOh/UifXZXMjFqaanEhSFBv +70rqcs9ca5H1zgbddZUicy9QVNoOlWkaJnJNmAtTuabYcMJasgQmGg7YNGjb +hXC/aMpWELSNpIm+VibW7GtIK7bMnLtX6xmDdeSFz4xSWVnahk41sobTm5LP +x08faNxmsVRZ85XLTZpZQHw3xtVJZ9o+mGoJIEiQrCEzwsPVw7OXyV4Bm8up +29oaiDTddqhM0zCSa6JcmMo15YYTdakFmN9wRUv28tgS6tY3AFso+MeDJi4a +YE2JdpWfiAvzD/omYV34e1OdXfyiMvvP4qc9skij9d6I3079PCy5ot8SDOv4 +PWRiaG67QXmxqFNWfzIurUJYY2QqypBUNV23IifNMjQnGAy1tBPEPPhth8o0 +GY3hXKugUYe065xuLTHYcH3ZYIHBEbqKF7pN/7F6YC1i7RcDXnWJVa0/5I1Z +nzrYzTnZpLlRJh1ZcmHjU6lRWRBGU3TeObltebDHS8NdIvstwCQPv/P2/LrM +YJHGmk6kNiPuQKUE1/CaGamqvwryV8xdW4Bv/2xdtWTa8BPEMERth8o0EY3Z +XPf9lawODaHXcBO1ZPWG64BrE1cQXJ3tPONoo0Gt6BujiIoWOL+h2yImGVmy +un2+Ix3mFxndLhNHU4GJite7jw3KbtVUJlKVOM2tzz6WfZ3tVUfijlSrFmt4 +A4EZqUq088b2NQcq8N8GsLZaE9qUxgkygZx/6sv3gwyYF1OIP+ERtx0qkzSa +FXJNWofG0K5zJWEtDULD+8ty1sTRY3x45GUJ2ACiG2Guvj8bbgDrl0T3nWUT +vL5/qLkRJ1v1KQSll67VGpc2cbQ+um9/5f3u+TbN56QVW7wnxRj6QrOj8979 ++Ld9pviomew8/PlR7t6zV93VjTUmpGI9lZk7D9wTEQ4RK6sl06ZlYIKYg7Tt +UJlk0RjPtck6NIJuw/vAr6VBaLjuq+C+iSMgVQm+nrGGuVSVxJTdapdlWU2q +v//2R9pdY+mjrbSf5OJFwyRNta193ixI9b6P/t1/my+6uciDl8k3WI6xpVMH +nkW75VKRJ+eS0ko61Z7caGf52Qt8ym/qMaSWKBRxgpjCRNuhMqlEUzKRa/Pq +kHrDza8lBhuuBa5NnEH6eJsfz/DhZ29J2NnP27AjJTXph1WbT2mfZ8pa713Y +GfjyCPe1WTerxCjVr8CJhgmuL5/q6BEcG3/wWMYvuTUS3YpJ+mib39z99UY/ +U2BHZz84A8FSqYrWnCiPF4Y9p2HYcO/4v6m/RM6UWvxQxAliBgpth8o0Fa0P +i3Ntbh1SbbgFtcRgw7XAtYk7oIL8jZ/sHPiCqP6ttOXQiIaJSjaFbb3ThVO9 +NqVTybJU2gFJ1FpBGzPYVMaHRmUyK4xTDQc4ibQ+OzntSnP/AkhdEolVTBYY +lWjS+pzUlEtNhC+w2opOJetSaQY0oZZxbYxhKxkfOpXJcK6503CAq2BIW3vf +jrBSISrLWjl+xCvv7M4pE1r8kIFGNFTSIkBMrHlsQSfbUplVy7g2hrGFjA+V +yrRKrrnQcAAAAAAAAAAAAAAAAAAAAAAAAAAAAGDQQTuLE5aF8ia5TF2854EY +HuiyD7MZseVoAAAABEhqMg7+KUSVSE164PgQ+F0g+zCbEVuOBgAAQASm6FGo +l7/i0pW8JSU4J3QCgwuzGbHlaAAwhMDknNlH4JDUXsT3dy1No2Cf+kzCSiqZ +zYgtR6MCV0YTV3QCFEAa847++rDbVEYxhF+Qvib4zY8LLHftxHoqj66cM8Hu +xdEu/tFHHmuOIEaFpWcyC1tJzsNiQaoWedPphdPCted3mZaKh6T6xMaIkIDJ +rznPWJJRp/97d6yrPHN/fhvhbwypNZw4vgUw0XAc2Eilcf8QN8dURvC04la1 +udG0DOx/S6PpY+spYFOnBisVP0AFefNvq79Ip7AAw6RPG/i31rg5MOAo3fNX +4qo9N1sQWfvtPR/aj/TZVamdR3seJId/e7kdd9SxIlX73fwzS/ztnPXPliST +iou07sRPFxsQlTH0uYWvu/Zb22CSutwz11pkvcXfXVcpMrZeo9ZwwviWwETD +caKykUqC/sFrjqmM4EJY1WZF02Dc/5ZE0w9s4ylgVaf2u61S/AAl0LYL4X7R +xUauXgTQdpTGR9Z85XKTZtyK78a4Ov2rQKj9G9aRFz4zSuV1aRNSNYIbTm9K +Ph8/faCXGaFUAlCZWLPdIK3YMnPuXo35jawhM8LD1cOzl8leAZvLDV07KTec +IL4lmN9wRUv28tgSfNEspZKof4yaYyoj+BBVtXnRtEoM+59GNC6ngGWdapgZ +9YB5KPjHgyYuGmA4iXaVn4gL8w/6JmFd+HtTnV38ojL7z6annXrSaGq6bkVO +mqV/1D7W8XvIxNDcdkP/MfakyupPxqVVCGuMfDYJpJpoNSq8nfp5WHKFREkJ +ug2nG5/JhuvLJjYjYLnqjPuHQnNoxFdhVNVmRSPsf2oMgRRwadQDjNJVvNBt ++o/VA4cQ1n4x4FWXWNXKQN6Y9amD3ZyTTZpbWNLUy4WNT6VGCSOJpvqrIH/F +3LUFA6yRJQ+/8/b8usxgQciaVKQ2I+5ApQTXAxpfKpkwReedk9uWB3u8NNwl +kprJGr2Gm4hv9YbrIJkY2aw6/P4x3Ryq8fv+ilPV9KOR9T8lhkAKuDXqAQYR +XJ3tPONoo8EUpm+bIipa4PyG7skFSepldft8RzrMLzIaQsTRlGjnje1rDlQY +mDEjVYnT3BYXG7wdy5LU9qojcUeqVSspvCrFl2qi1UqV1UzxevexQdmtFGYv +ug0niT8IDZfzT335fpCKWRNHj/Hhqf9zXkyh/jzNctXh9A9xHomgXdV0o5H3 +PxlDKQUcG/UAc4huhLn6/mz4XEI/Wd13lk3w+v6h5uabbFmiEJReulZrPCKJ +omE9lZk7D9wTGX1AWrHFe1KModszO1Lv3Y9/22eKj5rJzsOfH+XuPXvVXd0Q +w5dKLqyP7ttfeb97vo3C/EW34WTxB6Hhuq8iXrSzWXVaBvaP6eZQjU9Y1TSj +meh/SgyBFHBs1APMgVQl+HrGGvayKllTdquNmWU1qf7+2x9p93Olj7bSftSI +Hw15ci4praRT7UuNdpafvcDXvfEsurnIg5fJN1grsSdVA44HNIFUolCYpKm2 +tc9kBqne99G/qe3pUW+4efEZbrgWkomRrVQS94/p5lCJT1rVZkTTgNf/lBgC +KeDYqAcYRPp4mx/P8Jltb7Ls7Odt2JGSmvTDqs2ntE8aZa33LuwMfHmE+9qs +m1VilOpX4ERTtOZEebww7DkNw4Z7x/+tG8TSR9v85u6vN/oNATtS+8GpUiKp ++KEwwfXlUx09gmPjDx7L+CW3RkJxbU214ebGZ7bhWkgmRpZSSdw/FJpDIT5p +VdOO1o81rk2cSQG3Rj3AJKggf+MnOwe+iap/k2s59KJhopJNYVvvdOHMqxyS +yqwwTjWcEjbVIrOaw2b/MwJXUmBTOpVMFD9AHWl9dnLaleb+pYk6WYlVTKae +YjRpfU5qyqUmwldvuSOVWWEcajhVbKVFZjaHvf5nDq6kwFZ0KhkrfoA6GNLW +3rcLrFSIyrJWjh/xyju7c8qEFm+p0ouGSloEiIkFCRekMitMAxcaTg9baJFZ +zWGz/5mFKymwBZ0UpQIAAAAAAAAAAAAAAAAAAAAAAAAAALAG2lmcsCyUN8ll +6uI9D8RD9unmM9JMXJ7ltg8lmM0jVAVg20hqMg7+KUSVSE164PgQgp8ncp9n +pJm4PMttH0owm0eoCsDGwRQ9CvWaSVy6krekZKie2viMNBOXZ7ntQwlm8whV +AXAE8f1dS9MoWGoyByZnYR9h8JtpOzwjKTYPDkllNo/P8ogYQiCNeUd/fdhN +XsRYT+XRlXMm2L042sU/+shjOv4ABEiqT2yMCAmY/JrzjCUZdaofbaPC0jOZ +ha3mnWMlbzq9cFr4QI+wrvLM/fltlv58j1L/qH49yC9IXxP85scFDJhy0ukc +U81kKb8aBuYFUqyLhdvhpvvH1quRXhydXPPzaL2qANhF3vzb6i/STS4wev5K +XLXnZgsia7+950P7kT67Ki08T0Rad+Kniw2Iylf63MLXXbX+LD0PksO/vdxO +u6rk/DNL/O2c9c5sxCR1uWeutch6x1F3XaXI3Dql2D+93yd92sC/tcbNgQHD +aBqdY6qZbOVX+/VGeYEUqyHucLL+sfVqNCeOZXm0WlUALIO2XQj3izZ9ArKs ++crlJs3gEd+NcXX6V4HQwm+WiTXbDdKKLTPn7tU6uGAdeeEzo1QelTSQNZze +lHw+fnq/R5isITPCw9XDs5fJXgGby820sKTaPxpoG0YTfS3VzjHVTPbyq5Fn +mBfcVpgXitMpJutwwv6x9Wo0L44lebRaVQBso+AfD5q4aIBRJNpVfiIuzD/o +m4R14e9NdXbxi8oceKa8sutW5KRZhofaE0MeEBXeTv08LLmi35MM6/g9ZGJo +brthxRPHkdWfjEurENaYaWxNAt3+oT0bMNU5DOlXw1h+CfMCKR7wL4w6nKB/ +OFONdOOYq8p6VQGwTlfxQrfpP1YPnIaw9osBr7rEqtZD8sasTx3s5pxs6r8x +xgT5K+auLejEnR3lwsanUqO/EAZUdN45uW15sMdLw10i+z3IJA+/8/b8usx4 +wYMfB6nNiDtQKaFtbE0Fuv1DOhtYt3MY0a9kML9keYEUk3c4fv9wqBppxjHB +4FcFwDqCq7OdZxxtNCgRfbsTUdEC5zf6d4bRzhvb1xyowH9SLqvb5zvSYX6R +UZWQBFSq/FKK17uPDcpu1QRFqhKnuS0uxnn7EydOe9WRuCPVqmUU3RKV8099 ++X6QAfNiCvUnCbr9QzIbWL1z8GAvv+R5gRSTdzh+/3CpGunFMcWgVwXAOqIb +Ya6+P9cabN/oV0L3nWUTvL5/qL7/xnoqM3ceuCcizKFCUHrpWq3xxEYUUEv3 +7a+83z3fpvmctGKL96QYQ5dm/Dj37se/7TPFR81k5+HPj3L3nr3qbrfxR82D +Xv+Qr1St3TmW62cwvybyAikm73D8/uFSNdKLY4pBrwqAdZCqBF/PWMPaUlXC +lN1qt2lZTaq///ZHquUJ8uRcUlpJp9oIGe0sP3uBT/lNLryAmKSptrXPKQWp +3vfRv/tv8EU3F3nwMvk49/v4wjSYbWxNAp3+USF9tJX202emOsdS/QznVwde +XiDFStIOx+8fLlUjvTjmqNJhjaoA2Ef6eJsfz/C5d28l2NnP27AjJTXph1Wb +T6kePCpac6I8Xhj2nIZhw73j/6b+kjFOQExwfflUR4/g2PiDxzJ+ya2R6FZQ +0kfb/Obur8f75QROnH6sUqJU+0eFrPXehZ2BL49wX5t1s0qMUv0KpjrHIv2M +57cfnLxAisk7nKh/OFSNtOKYo6ofuDYNUVBB/sZPdg5801L/DpoRaATERCWb +wrbe6cKtW8aFmcb6/cNU5+Bja/lVQopNQdI/NiV1EPPIQlUAtoC0Pjs57Upz +/2pMXQmJVQzPXVQCSutzUlMuNRG9vsy4MEpYuX+Y6hySz9lMfpWQYtNSyLNs +K1IHNY/sVAVgC2BIW3vfRrBSISrLWjl+xCvv7M4pEzLxm2oaAVFJiwAhuilg +XBgNrNY/THWOCWwkv0pIsal/TSXLtiB1EPPIZlUAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAMAZ0M7ihGWhvEkuUxfveSC29NwuZqMBgEmg5ABgKCKpyTj4 +pxBVIjXpgeND8gS2FA0ATIJXcpio/Mylev0TGoz/Dy6y2gNfbAFfJQCwATBF +j0K91hSXruQtKaF4iPjgRAMAk+CXnKwh6+uku/rnQhj/H2Nktfs/iqV6kD4A +DACTc+amnUNSexHf37U0jYKhNhvRqMCh3uaQVA5hWHLisv/+4tCA8/2M/48B +8vojH0fdYMJUGRgSII15R3992G1quGIIvyB9TfCbHxdY7OOsOv//6Mo5E+xe +HO3iH33kseY0flRYeiazsJXkrFIWpGqRN51eOC1ce2ikaal4SKpPbIwICZj8 +mvOMJRl1+oesYF3lmfvz28z5YftAYZZG0wcKgxTjbDKlk7hOLICJAsYNpQav +5CQP/utf2wc42Br/nwEoGjLDll5nbswCnEbe/NvqL9IpLLAx6dMG/q01bg40 +z9XHo+evxFV7brYgsvbbez60H+mzq1I7/noeJId/e7kdd1ZlRar2u/lnlvjb +OesfaEwmFRdp3YmfLjb0tlTRcm7h6679fmqYpC73zLWW3vUk2l1XKaJ1STEW +Zkk0/cBQGKQQZJMBnYR1YglMFDBhKKKSE+R9FNifQvz/o4eCn/Vp5BUB3NMC +vaBtF8L9oimfIE/q40wdWfOVy02a+hTfjXF1+leB7jYe68gLnxmlMli2Caka +wQ2nNyWfj58+0ECTUCoBqEys2UuSVmyZOXevxgdO1pAZ4eHq4dnLZK+AzbSe +AxsLoxFN0ZK9PLYEv0OhMExBkE0GdBJFtgBmCpggFHHJie+tnPbuAP9a4//T +D9r86/wvLrfDpQlQqhYqx4MmLhrgvYx2lZ+IC/MP+iZhXfh7U51d/KIy+w1R +aI9r0mhqum5FTpql7zqDdfweMjE017BEWZQqqz8Zl1YhrDEydyaQaqLVqPB2 +6udhycQ7G5YLo4ai4Zd3Q/Hf5IPCoCrVOJsM6RyMOqFfwPRKTvr4f6ZPHeBp +a/x/+r/0afbC/8/em4c1cX79//WvXtX6cSvKUmpBEBUElfqRGpaqbUXh04WW +xw36u2hdioBL3Vq0y6OPjwuytVh9QMUFUVG/tXKJYi0qgohaUcSKUlZZZQkJ +hGSSzORHQgghmZnMJBMmCef1lxcxJ+c+533uueee5Sy7QrXZLWDhdBQudprx +c0X/dRnWesVnrEOUfDklqcv4zMZq7pkG5Vk6aV1LeHUvRVrKIrEm/5Sbu3re +hrx29a8Jn37v7vpNscaCnzVXkaq06MNlQpm4Srse8V0lc0za/uDMzlX+LsOH +OoRR7uxJ3zFKkBybQBiUrOFnkwk/deiEJQHTlZy48hdP51D1m0W1/6L6xebL +y5ZkvqTc5xCwbLg35tjPPFGnIX31Xl38gkX2b6t2vEnqWlx90HOETXCBll6J +rcnQ9tu71h8u7epfZEh53HSnpZr3kbLkamv5sehjFfI1I1494ruqY9Qy+bMe +hZucx/kR7G1QskbuGBmS+rNfzveT8+6kUWM8OIp/LozMVz8OgDCouirTziYz +fuJZ1sNPBgVMX3KS6oPvOH56m0/2l96htv7xxX/91giHJqAH/u0gR89fNfez +1WXZ+WDlRDfVOTjZmlPKLbp6s6pLa7YlsoZ1laXvOfyIr/UFUel298mRDwWm +4OqjxzHveUz1UDDFfuirI53d56x9qJo98F0ld6yHzvtfuX9wieoGBm3HKEFy +3gTCoGith/7ZZMZPPMv0/WRQwHpITlyZ5Om0pLCD7C89YG05YZ+fbYAGTIAS +pDzW0zVKU5pyWU7d949clt1S8vbe9ax3E1z0bAft68j41pAXF+OT77Yrlklo +e8mFy/Wqe3f4d5a4cNLrNWTKnqtKJDWH/u2ssVbEd5XIFCZsqGruabmGVBz8 ++GvKe3r0HaMEybEJhKHTGnE2DfVzAHVCT8CkpvBAyvZ6um9Wvx9H+y/Kn8td +HpSueVIJDGZEz3d6cQ5qPA3XLUsr64Wbdycmxf+0dtvZ3suz4uZHl/f4jh7m +vCHjTrmA8sk3jjVpc1a4y2tDXlEyZKh7zD+qGUj0bKfXvEM1Wg9esONqHzj1 +SOQqvimMe2vVNFsX/6iYIyfTjmdXCqlf9aXrGDVIjk0gDF3WiLNpqJ8DqBN6 +AiY1hUvX443T/c40oGR/UcC7/fWnx1/o97AVYKGg3Nwtn+7pv45RP503HHrW +MP7drUE7HuC92MSMXGXXMUYwo2iblKvm4qdsIATMy/t89rf9Bqz9Fzn8wsiP +D5O9LwIYnIhqMhOSrzf2KUMhy7hyJuuFojVRTVZS4tUGQpGaj6vsOcYc5hNt +k3HVXPyUDYiAkbK4gG/6PTms/Rc5nffXf3SgEg5NAA4Y0tLas8Etk/KLM9ZM +GPbG+/uyinkG7//Ss4YKm7iIjh0Mc3CVTceYxRyibUKumoufulxlxjGk/MDi +3U+6SP8iR1C06T+/DPTCCwAAABiEoK03t0VfVb+NQ/svCgTF0f+JfT6QbyUG +AAAABiVYx+OTx+63o2R/6UH4dFdwzDM4NAEAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAFAAbS+MXRnImewwben+JwLjNuQayN8yBSx7vJY9OtkgGCAA +DByimqvnS7S7AhAjrEw78hcPlSGVKb4TAghe2MkQeL+F8UvOX62xzKcSBjK2 +A49lj042CAYIAAMF1vEw/psztbTeJ4VJu6SKQ5mgaA1nOV4fSebA/y1xbcY3 +8Q/xXxRp3gxkbAceyx6dbBAMEAAGCHF16hf/U4zT3osKgsd7VySXD8z5i+Zv +CYr/54tUI709GJOwf9AbyNgOPJY9OtkgGCAAGBdh6a6P/vuJUPd/1AbrKEk/ +lNvC4Ps/UW5+bMSm+NQj8Rsj4m5z+71yRPu3hE/++z+7SsldR+pyTvz2tJPy +kQZD6vNS1vu/80kere5veoLyis6n5zfjNI6hFluaoxNWnN4SGuAz5U37mcvT +qo3+dssBHp0SScO5xdND9OgnRR9DBwgAACGisj2+n+izKY4Jq7PP32zqPm1B +O6vL+ExUIdpyeZnbgnON3bakDWfnu4VcaUFJf4ub87Hv3jLiOVbS+Pu6L1Lo +rF0x0cva+nvrnWxodibVn64nCSHfXWvtFz9qsaU7OlH16V+u1HZHS9p0cfFb +jl9p9QowAgM3ut6v1Z9f7m1lr0+vQ73Qf4AAAJCAvrwwb/raR7R39MS16aEu +ji6u3Uxx89mm3eRYD6R1aRy7mak97SclNSmedj6n5O2aiX9L8GjN9A8ymwkW +1t2HuhCvCPqTlOjZ/+jsmi1tylwVdZeR+Q9rywmZFZ7PU42CWmzpjw4VC5Q7 +laLS7bPmHagi3A41x9EpjZ/bmnApZoaTjmMT+wMEAIAU4ZPv3GfsInpDPNrx ++Fx87KGT6Yf3RvzX4s/X5HMNuwqD1OckhfrOXpF6KHZzqJ+ze8jRwswD26OC +vZxmb8jlthcE21r/J4/X83/bb/mPtVtSSHopWfT8f2dM++Ep/q6etP6U36Ql +BbgTENpRcjo6yNvv29iNIR9Os3fwCk/v6/pM6dhE0k+83+9QCCDW9kfApMDs +Vlqx1Xt0MpR3P2lZUALZXqiZjk5ccyY6uZRX+aunzmMT2wMEAIAc/p1FE2b8 +gtvzEW27sXnuRwf+kde9uCJx2pvvX3yp9YZ5ugiK1znZ+l9oQmVYc6aflX3Y +n22oTFKd7Dl+QU7lNb8xtqqjEb8g2HrM3BukRwhx5S+ezqEEt0J1FC52mvFz +BcHJAdZ6xWesQ5R8vSupy/jMxmrumQbl5gtTxybKARQ+/d7d9ZtiWgtsPUcn +bX9wZucqf5fhQx3CsrRa2fRilqNDqtKiD5cJZeIqZo5NRh0gAADk8PICxnv+ +XzXO1dyO+2smuUT2XJOQ1p2Ybe9zuoHCzrmk/uyX8/00WBiZ396zrOwq2TzJ +Yani+MMv+Hz85G1/dy/fsZcXOXb/Pvk8/3ObcYG95028WwvH6TpvklQffMfx +09v40xD3xhz7mSfqiHxWNH1OqFBcrOIXLLJ/W3X9heTY1De6dyeNGuPB0Rhd +P6gHECmPm+60lHyojI1ODsYv3OQ8zk9zN9ScR9dafiz6WIXiOEJ8bDKRAeqo +EQAA5JX9maMn3pWHzvth4+2C8hUHCrTp/82x//fhFzhHMLqQHJvSaqqPe9mq +rje9SJ1pxzlZT3o4FFcmeToRHb/4t4McPX8lvKiiPr91Plg50U21N8jMeRON +AIpKt7tPjnxI66Kf3qPr9e4r9w8utRBMhuY3ukePY97zmOqhYIr90FdHOrvP +WfuQ8GYP1gcIAAA5XcXr3d6JK9e+1a0122/USJ+T8qWr6Pn/+dhNTyTaYaH3 +exrHpq1qx6Y65GXmIrcA+YZf93RwIXDq0qxm8k1EpGyvp/tm9avNUu69c78V +tcuPaEh5rKdrFOGUIZ/fpu77Rz7y7kOct/cuVe9L0bMdDBybaASQf2eJCyed +/DDc86sGjQ4TNlQ1I4rDEVJx8OOvDdnTM73RqZDUHPq3s8F7esYYIAAAlJHW +n/T1VBwgNJA0Xvhq6qgREz5Y+dPebbNs3HYy0LYYQxpuJfqOHum5+8/K1vLs +H12Hj+Lsu17T8jgj3OFf48PSi3hIW27M6k0JqUcTt0TG5rXpKveuxxun+51p +UDuAteeFuriE5ip2R0TPd3pxDhI9nNs9v1lZL9y8OzEp/qe128723iwgbn50 +eY/v6GHOGzLulAsID426JzfqARQ92+k171ANhbNSg0aHcW+tmmbr4h8Vc+Rk +2vHsSiHxDpIZjk7NNUaOTcYYIAAA1Okq+dYn9A5ZIfNuhzhO3mKSt8Ly8j6f +/S2xZyg3d8unewg+V98XMi7kAcT4d7cG7XhA/+VLMLoBGJ3MaAMEAICczr/W +L4whuom8m457K52cI4pMcTcdKYsL+Ib8CVJRTWZC8vVGnPW3Yn7D281kGtIA +imqykhKvNui5XQqjMz5GHCAAAGR0PfnfoJhSvIMT1lVdkLGNM+r1ST/c4Jre +djpSfmDx7ic6z+cwpKUV0VjWSvnFGWsmDHvj/X1ZxTzjjUxnAFFhE1fTN5o/ +AaMzGgMwQAAAiJE2Z2/+5g8dtx2YHGjrzW3RVwkv5wMAAABmDtp+78jRh3T6 +N7EN1vH45LH77WZ2PAUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAGG2h7YezKQM5kh2lL9z8RMHbjvpHMAoYAuR48QK71QVRz9XwJvceX9PgK +QAlhZdqRv3ioDKlM8Z0QoLv5KrtmAUOAXA8eINf0wToexn9zppbOO7/0+ApA +FUzaJVUc8wVFazjLCZr2moxZwBAg14MHyDVtxNWpX/xPMa1XterxFU0wCZxy +6UDweO+K5HLDO48MjFkSINc6gVwPHiwm10ZHWLrro/9+otGfSVh5fucPscmH +f921Luzb85rnR7hfkSF1OSd+e9qpS5oYUp+Xst7/nU/ySHvz0ULScG7x9JDe +jjwor+h8en4zSb8cSq5iXWUn1sydaPX6KAfviGPPuwyvOWHF6S2hAT5T3rSf +uTytGiF1FesoST+U26Lf2wBRbn5sxKb41CPxGyPibnPVXtxkkNk+2Mg1nejR +8pP5RCuhKkvItaYt3IwwlG4cITGAZeTatBCV7fH9RGOTUlp3cp7npsfyF3hj +bdf+4/H/3evQ9RVJ4+/rvkihcNTGRC9r6++td7LR0TeWBpL688u9rezVu8V1 +PUkI+e5aK26qKLra9Xfc2v13mhBx6/39H1mP8NhbZqCKRdWnf7lS221E2nRx +8VuOXyl7d+C5igmrs8/fbOpeEqCd1WV8mopDWy4vc1twrrH7a9KGs/PdQq60 +oAyYVcFKrmlEj6afjCe69+epyRJyrQVxRhhIN4GQDMMicm1qoC8vzJu+9lH/ +7TlJTcpMu9m/lHWnWVJ79L1/f9+v7S3OV7qjFuIVQd5JVA3Rs//R2dOcMuLa +c1sTLsXMcOrXyRRrywmZFZ7P01pCUXVV3Hj9WoOyJAQPIx3t/pPHM8xRVCxQ +7neISrfPmnegSkzgqrg2PdTF0cW1myluPtvoNm2U1qVx7GamvlAs2rpT6Wnn +c0reD5yGWWlT5qqou/gxYinXlKNH10/mE91jlposIdfakGXE4HQTCskQh80l +1+aF8Ml37jN2aXYORNuur/cYM/7jHw/sXL/l2N/970vU/oq0/pTfpCUF6rpA +O0pORwd5+30buzHkw2n2Dl7h6X2NsWlrmNiauOZMdHIpr/JXz/7C6FbGHwGT +ArNbNXv70HRVQce9sMnvEvb/puGt4lPe/aRlQQmlfYd7AleJQepzkkJ9Z69I +PRS7OdTP2T3kaGHmge1RwV5OszfkctsLgm2tVeXcfst/rN2SQnpXSEk6krOY +a8WnVKPHbqLpypKYQZxrOVoZYSrd2kLS11UzyrV5wb+zaMKMXyq1q7GrZLfP +pJFDrXyjrzRJdHylo3Cx04yfK/obwVqv+Ix1iJKvGyR1GZ/ZWM0906A82yTV +sIRX91KklU58a0hVWvThMqFMXKUlDJnw6ffurt8Ua6wi6Loq/5Sbu3rehrx2 +XInR8bYbafuDMztX+bsMH+oQlqVqLYXvKhmC4nVOtv4XmlAZ1pzpZ2Uf9mcb +KpNUJ3uOX5BTec1vjK1KtfyCYOsxc2/QW8uSzFes5VpGL3psJpq+LMkYnLnu ++RQnI0ykG19IerlqVrk2L3h5AeM9/69a46IdUnP0i49+ftrRfHPXAutR07/v +t4Gn/RXujTn2M0/UaeRY0Rc7oUJxcs4vWGT/tmprl0TD4uqDniNsggu0zs1x +rLWWH4s+ViFfvOAJAymPm+60VHNhQddVGdp+e9f6w6X4F8jpeKu2rY3xCzc5 +j/PLbMbIXCWjq2TzJIeeb/ALPh8/eZt81xV7eZFj9++Tz/M/txkX2Lu+4t1a +OI7q+kpSf/bL+X5y3p00aowHR/HPhZH56nMDS7mmHT32Eq2PLMkYtLnGzwhD +6ZZpC0kPV80t12po5NoE4Rd85uipuefaVbLFY2ZcuTwJWPvNLyc4hxcJyL7C +vx3k6Pmr5sateio7H6yc6PbDU+UJNNn6SsotunqzSnuG0Lb26HHMex5TPRRM +sR/66khn9zlrH6q0Jyrd7j458qHGje70XMW6ytL3HH5E/IQxdW+f9ts86Lz/ +lfsHl1owMlfJINFwWk31cS9b1b70i9SZdpyT9fSuj5KspdnJNf3osZZovWRJ +xuDMNWFGmEh3L/2FRN9Vc8u1edFVvN7tnZ7DUB9Iefy/p6zqWQMg/+yb5RXz +D0L2FaQ81tM1SjMH8lRO3af4prgyydt717Pe3V7Rsx20r5kSW5PJrwwe+rez +xqKFf2eJCyddM3l0XEVeXIxPvtvTOhdtL7lwuZ7yDVx4BjFhQ1UzolA8UnHw +46/7NhPwXSVDU8Nb1TRch7zMXOQWIN8YkKFNFwKnLs1qptn+l2S+YivXdKPH +YqJVUJclGYMv16QZMTTdxELSz1UlZpFr80Jaf9LXc+vfGlcEsc4nKav/a9V/ +/5xyYO+3W4486ffEAM5XRM93enE0ryF3p9LKeuHm3YlJ8T+t3Xa29zqkuPnR +5T2+o4c5b8i4Uy6gHFwCaz3gCEP0bKfXvEM1Wk8YUHVV2pwV7vLakFeUDBnq +3u8ATd9bjHtr1TRbF/+omCMn045nVwpVMSVylQgMabiV6Dt6pOfuPytby7N/ +dB0+irPvek3L44xwh3+ND0sv4iFtuTGrNyWkHk3cEhmb10Z7cUUyX7GUa/rR +Yy3RfdCQJRGDMdekGTE03cRC0sfVPswi12ZGV8m3PqF3qN4lSvQVlJu75dM9 +/W9fVD8FNhx61jD+3a1BOx504AjP+K7SM0jiqmliUrk2o0TLINc4mFFdW3iu +TZDOv9YvjNG8iVyPr4hqMhOSrzf2LVwUqdTcLtQbOtZENVlJiVcbCG8FNrKr +dAzqctU0MZVcm1GiZZBrXMyori0/1yZH15P/DYoppXVwIvgKhrS09uzkyqT8 +4ow1E4a98f6+rGKeweee9KyhwiYuomO5YjRX6Rmk4qppYgq5NqNEU/TWNDGF +XMtYTvdgybWJIW3O3vzNH7Suq+nxFQAAAACgA9p+78jRh7SaMenxFQAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgELS9MHZlIGeyw7Sl+58I +zPIGdyMNwQIiA5gvID9gcCOsTDvyFw+VIZUpvhMCCF5gadoYaQgWEBnAfAH5 +AYMcTNolVazJBEVrOMvvmmPDYiMNwQIiA5gvID8AUCB4vHdFcjmtVwSaGkYa +wsBHBpPADg6gxAIKEwDIwbrKTqyZO9Hq9VEO3hHHnqs3qcQ6StIP5bYQvo8R +qcs58dvTTh0zprDi9JbQAJ8pb9rPXJ5WzdCbjCUN5xZPD+lt8oLyis6n5zfj +9HfRNQRSUG5+bMSm+NQj8Rsj4m5z1d55aJDZPqgFUIYh9Xkp6/3f+SSPVrM5 +fLTTQRw9Wn6SCMnyXVVCVZaUMLr8AMCU6fo7bu3+O02IuPX+/o+sR3jsLVMe +PTBhdfb5m03i7hrprC7ja9WBpPH3dV+k6Fy5iapP/3KlttumtOni4rccv/qr +U8cXqCCpP7/c28pevQFZ15OEkO+utfZzU9cQyEFbLi9zW3Cusftr0oaz891C +rrSgDJjtGwS1AHb/nuhlbf299U42NBuh4kGQDrzo0fSTUEiDwNXen6cmS2oY +W34AYNqIG69fa1BWpuBhpKPdf/J4ir/Xpoe6OLq4djPFzWdb/0ZjMkXlhHhF +FOrupIiKBcqtKFHp9lnzDlQZ3ohFXHtua8KlmBlO/ZpjYm05IbPC83lY338j +H4IOpHVpHLuZqS8Uq15JTYqnnc8peVNoA832QjmAPYie/Q/tJt24P0uQDq3o +0fWTSEiDwtUes9RkSREjyw8ATAe0o+R0dJC337exG0M+nGbv4BWe3r8Xsqzj +XtjkdzWbMeMjrT/lN2lJgfo0QG4f5d1PWhaUUCrUtkXTW3HNmejkUl7lr579 +J4HuWeCPgEmB2a2UZwGkPicp1Hf2itRDsZtD/ZzdQ44WZh7YHhXs5TR7Qy63 +vSDY1lo1a7Xf8h9rt6SQsUvPdANI+9hENx0E0aOdaDk0hGQxrtKXJZvyAwCT +Amu94jPWIUq+hpPUZXxmYzX3TEPfjgDGzV09b0NeO6WpvaNwsdOMnyv6lzSh +fWn7gzM7V/m7DB/qEJbVrL07yKt7KdL6WXxrSFVa9OEyoUxcpTUJyIRPv3d3 +/aaYxkpSULzOydb/QhMqw5oz/azsw/5sQ2WS6mTP8QtyKq/5jbFVTQf8gmDr +MXNvMHC9pwd6AdRxbKITQBlROvCjR9dPmQ4hWair+smSPfkBgGmhaIWcUKHY +zuAXLLJ/u+/qD9p+e9f6w6VUrwpzb8yxn3miTuMwQ2K/G4xfuMl5nF9mc//f +EFcf9BxhE1ygtRWDY621/Fj0sQr5QhVvEkDK46Y7LaWzuOwq2TzJoecb/ILP +x0/e9nf36hx7eZFj9++Tz/M/txkX2Ltw5d1aOI7qwlVSf/bL+X4aLIzMV58C +6QaQ5NhEJ4Ak6cCPHu1EkwrJQl3VV5bsyQ8ATAv1sup8sHKi2w9PFTslWFdZ ++p7Dj2i0N+TfDnL0/FXz2hGR/V4673/l/sGlFs29GG7R1ZtV2jOEtrVHj2Pe +85jqoWCK/dBXRzq7z1n7UDWJiUq3u0+OfCigPAqyySGtpvq4l61qw/9F6kw7 +zsl6xi480w0g2XkT9QCSpQM/evT81Ckki3RVb1myJz8AMC3kZTV13z/yshJX +Jnl773omX+shLy7GJ99tV9wEhLaXXLhcr/uuJaQ81tM1SrPe8OxjwoaqZkRR +4UjFwY+/xtnTo+WtEknNoX87ayxQ+XeWuHDS6RSw5uSwVW1yqENeZi5yC5Dv +uMjQpguBU5dmNaM6LVKFegB7ED3bQfteCHrpwI8eHT/1EZJluKqCnizZkx8A +mBbdZWVlvXDz7sSk+J/Wbjsrv4orbc4Kd3ltyCtKhgx1j/mHSpmKnu/04mhe +Q8axj3FvrZpm6+IfFXPkZNrx7Eoh9XMzHGt94EwComc7veYdqqH8NAmGNNxK +9B090nP3n5Wt5dk/ug4fxdl3vablcUa4w7/Gh6UX8ZC23JjVmxJSjyZuiYzN +a2N01Uo1gHLEzY8u7/EdPcx5Q8adcgHlGYpWOoiiR9VPfYVkCa72QUOW7MoP +AEwK9e0IQ0G5uVs+3dP/FlYm7dO1hvHvbg3a8aDDbDbVTSqAJNEzvp/0DJqR +qzIzlCUAsIGirOLKmapTUU1mQvL1xr51KrP26VgT1WQlJV5tMPzZqQHFVAKo +K3pG9pOOQTNyVWausgSAgUXKL85YM2HYG+/vyyrmMbU/gCEtrT2XBBi2T88a +KmziIma5NDWFAFKJntH8tFhXKXoLAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAL +oO2FsSsDOZMdpi3d/0Rg4Vf3mR2skUI3qDICAACAh7Ay7chfPFSGVKb4TgjI +4bLtj1FhdrBGCt2gyggAAAAumLRLqliaC4rWcJbftexODcwO1kihG1QZAQAt +MAlsFgB9CB7vXZFMoVGvRcDsYI0UukGVEcCiQepyTvz2tFPXIQdD6vNS1vu/ +80kecx1jJA3nFk8P6X3VGMorOp+e30zy8jtKrmJdZSfWzJ1o9fooB++IY8+p +tvggQVhxektogM+UN+1nLk+rRkzZVSV0A0sKys2PjdgUn3okfmNE3G2u2rv7 +sI6S9EO5LYY+wWoesdJnsNrKMcSaCqNnBABYR9L4+7ovUiissjDRy9r6e+ud +bBhoAt772/Xnl3tb2au/BrPrSULId9dacUuLoqtdf8et3X+nCRG33t//kfUI +j71lBr6bRlR9+pcrtd1GpE0XF7/l2NvrxxRd7f15eoElB225vMxtwbnG7q9K +G87Odwu50tIzF2LC6uzzN5vE3f+ls7qMr+90aB6x0muwBMoxNHTGzggAsE+3 +ykO8Igq1eqURQLsJOBni2nNbEy7FzOjfdg1rywmZFS7vIKqnq+LG69calNOW +4GGko52qh7W+oGKBch9TVLp91rwDvd2ATNDVHrP0AqsDaV0ax07VM6gmxdPO +55S8t4O4Nj3UxdHFtZspbj7bSmh0FlbHPGKl52AJlGNg6IycEQAwAaT1p/wm +LenXxhPtKDkdHeTt923sxpAPp9k7eIWn973xn/axidiauOZMdHIpr1KrJSjW +9kfApMDsVs1mgzRdVdBxL2zyu5oNEvTxVvEp737SsqCE0r7+dibpKt3AymRI +fU5SqO/sFamHYjeH+jm7hxwtzDywPSrYy2n2hlxue0GwrbXqQNB+y38s1V6r +VDC3WNH+CcWnWsrRAZsZAQBToKNwsdOMnyv6FznWesVnrEOUfNUoqcv4zMZq +7pkG5e4A6bFJwqt7KdIqZnxrSFVa9OEyIW67auHT791dvynWWPXRdVX+KTd3 +9bwNefhtp+l42420/cGZnav8XYYPdQjr62dneq7SD6wcQfE6J1t/ecs6rDnT +z8o+7M82VCapTvYcvyCn8prfGFvV3McvCLYeM/cGY1cczS9WBNBUji7YywgA +mALcG3PsZ56o0ygY9WY0/IJF9m+r9slJjk3i6oOeI2yCC7Q2Z3CstZYfiz5W +IV9X4k0LSHncdKelmgtBuq7K0Pbbu9YfLsW/ZE7H286+TzF+4SbncX6ZzZhp +uqpPYOWQ9AE/+Tz/c5txgb2rdN6theOortIl9We/nO+nwcLIfPWjivnFigh6 +ytEFexkBAFOAfzvI0fPXKo3NEfUq63ywcqLbD0+VuxFk501SbtHVm1Xac4a2 +tUePY97zmOqhYIr90FdHOrvPWftQVcii0u3ukyM122jTcxXrKkvfc/gRn7Dm +qHv7tN9OTOf9r9w/uNSCmaSregVWDslMmFZTfdzLVnV140XqTDvOSTot7skx +v1gRQU85umAvIwBgCiDlsZ6uUZoVKK+yqfsUHanFlUne3rue9W6di57toH0v +BLE1GW67ahn/zhIXTrpmsdFxFXlxMT75brvi3iW0veTC5XrKt3ThGcSEDVXN +PS13kIqDH3/dtzNjcq6qoB5YOZoz4Va1mbAOeZm5yC1Avr0kQ5suBE5dmtVM +uQO8TswvVnR+glg5umAvIwBgEoie7/TiaF5V7q4yK+uFm3cnJsX/tHbb2d6L +uuLmR5f3+I4e5rwh4065gHIxEFjrAWdaED3b6TXvUI3W8yVUXZU2Z4W7vDbk +FSVDhrrH/EP9bmMcgxj31qppti7+UTFHTqYdz64Uqpa+JudqHzQCiyENtxJ9 +R4/03P1nZWt59o+uw0dx9l2vaXmcEe7wr/Fh6UU8pC03ZvWmhNSjiVsiY/Pa +GF2im1es6P0EsXLIYTcjAGASoNzcLZ/u6X+7qfruhOHQs4bx724N2vGgA6eK +je8qPYNm5KqM1Ft2sZRYMe4zAAx2RDWZCcnXG/tWrooqiytn8thE0ZqoJisp +8WoD4c3BRnaVjkEzclWm21t2sYhYMe4zAAAyDGlp7dkWl0n5xRlrJgx74/19 +WcU8g/cK6FlDhU1cRMdi1Wiu0jNoRq5S9JZdzDxWjPsMAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAFqg7YWxKwM5kx2mLd3/RGDofQDMWjO2WYAVQCQAAOhCWJl2 +5C8eKkMqU3wnBORwTcmasc0CrAAiAQBAJ5i0S6pYYgqK1nCW3zWwgwCz1oxt +FmAFEAkAsAomMadtBcHjvSuSKXT1ZcOasc2SYF5JNC8sRiQAwDZIXc6J3552 +6pqtMKQ+L2W9/zuf5DHXK0bScG7x9JDeV5mhvKLz6fnNdN5ipng39Yk1cyda +vT7KwTvi2HP1d1BjHSXph3JbaD0LKaw4vSU0wGfKm/Yzl6dVqz/lr481FSg3 +PzZiU3zqkfiNEXG3uWpvIzTIbB8sJBE/8rqTSMlVkrQaBgOSM1uRAIAZIWn8 +fd0XKRTWY5joZW39vfVONkz1ZJe3kzm/3NvKXv01m11PEkK+u9ZKvQi7/o5b +u/9OEyJuvb//I+sRHnvLlFMFJqzOPn+zSdxd8p3VZXxqFkXVp3+5UtttQdp0 +cfFbjn0tePSypgJtubzMbcG5xu6vSRvOzncLudKCMmBWBStJJIw8aRIpukps +3DCYkJyZigQAzInuegjxiijU6sVGAO2e7GSIa89tTbgUM6N/WzesLSdkVri8 +fSg1I43XrzUopy3Bw0hHO2WvanFteqiLo4trN1PcfLaVUGxgiooFyt0uUen2 +WfMOKBsL6WmtF2ldGsdO1XCnJsXTzueUvP0CDbPSpsxVUXfx88ROEokiL4cw +iVRdJTNuiM9MSM48RQIAZoW0/pTfpCX92oSiHSWno4O8/b6N3Rjy4TR7B6/w +9L6OArSnNWJr4poz0cmlvEqtlqNY2x8BkwKzWzVnClLHFHTcC5v8rma7BdqO +KT7l3U9aFpRQKiSx0A+kPicp1Hf2itRDsZtD/ZzdQ44WZh7YHhXs5TR7Qy63 +vSDY1lo1u7bf8h9LtVGpCmnt8Q8C8W/SYjGJvWhFniCJdF3FN66vtwxLzqxE +AgDmRUfhYqcZP1f0L3us9YrPWIco+TpSUpfxmY3V3DMNyn0E0mlNwqt7KdJa +e+JbQ6rSog+XCXHbYQuffu/u+k2x9vqQxDH5p9zc1fM25FFuL01oTdr+4MzO +Vf4uw4c6hFFvBicoXudk6y/v94Y1Z/pZ2Yf92YbKJNXJnuMX5FRe8xtjq5po ++AXB1mPm3qB33kIy7bCWRNWnOJHHTyJdVwmM6+Uts5IzN5EAgHnBvTHHfuaJ +Oo3SUu9Ewy9YZP+2akedZFoTVx/0HGETXKC1o4BjrbX8WPSxCvkKFG+iQMrj +pjstxVsyEjsmQ9tv71p/uJTOJXMSazJ5D5/CTc7j/DKbDW+iffJ5/uc24wJ7 +l8S8WwvHUV0SS+rPfjnfT867k0aN8eAo/rkwMl99qmYpieSRx08iXVfJ08qy +5GTmJBIAMC/4t4McPX+t0tguUa/HzgcrJ7r98FS5b0G25JZyi67erNKeRbSt +PXoc857HVA8FU+yHvjrS2X3O2oeqkheVbnefHKnZppvMMayrLH3P4Ud8erVI +PMweOu9/5f7BpRbDp520murjXraqSwkvUmfacU7SafctI10Ss5NEHZHHTyI9 +V3WmlUXJ9WIuIgEA8wIpj/V0jdKsSXk9Tt2n6Hgtrkzy9t71rHeTXfRsB+3L +6MTWZLjtsGX8O0tcOOl4ZYlvCnlxMT75brvinia0veTC5Xpqt3ThWcOEDVXN +Pd17kIqDH39NfbtGc9rZqjbt1CEvMxe5Bcj3cmRo04XAqUuzmin3tO+BZNph +L4kkkcdPIh1X9U0r6dhlTEjOHEUCAGaG6PlOL47mdebuerSyXrh5d2JS/E9r +t53tvfwrbn50eY/v6GHOGzLulAsolw2BtR5wJgrRs51e8w7V4D1xgmNK2pwV +7vLakFeUDBnqHvMPxTkMxxrGvbVqmq2Lf1TMkZNpx7MrhRTXwxjScCvRd/RI +z91/VraWZ//oOnwUZ9/1mpbHGeEO/xofll7EQ9pyY1ZvSkg9mrglMjavjfZ9 +wGTTDjtJJI08URKpumpAWonH3oPBkjNPkQCAmYFyc7d8uqf/janq+xiGQ88a +xr+7NWjHgw7cemfTMVPGjJJofFdpGxxAyQEAQANRTWZC8vXGvrWsoh7jypmc +1ihaE9VkJSVebSC6XZg9x0we80misV2laXBAJQcAAD0wpKW1ZwNdJuUXZ6yZ +MOyN9/dlFfMMfgSdnjVU2MRFiHZI2HTMLDCHJBrbVWa9tUCRAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAMAAgbYXxq4M5Ex2mLZ0/xMBY++aMZJZywCCAxEAAIAU +YWXakb94qAypTPGdEMDY05NGMmsZQHAgAgAAkINJu6SKZaugaA1n+V16nREG +3KxlAMGBCACWBSaBk39jIXi8d0Uyhfa1pmGWBDMSycAHx9SACACmClKXc+K3 +p526ZhMMqc9LWe//zid5TPVkl8kkDecWTw/pfbkZyis6n57fjPdeMzquYl1l +J9bMnWj1+igH74hjz+n0zWDWWzyEFae3hAb4THnTfubytGr19w1gHSXph3Jb +9HvGE+Xmx0Zsik89Er8xIu42V+1FeQaZ7YMNkWjHSq+Yk+hBV3CojZo4pwbA +hNhUGF0eAMA4ksbf132RQmHVhIle1tbfW+9kw1RPdnnjmfPLva3s1V+82fUk +IeS7a624pULR1a6/49buv9OEiFvv7//IeoTH3jJmZgua3uIiqj79y5VaRN4+ +++Litxz7mgFhwurs8zebxN3TSGd1GZ/mVIG2XF7mtuBcY/fXpA1n57uFXGlB +GTCrghWREMSKdswJ9aArOBRHTZhTQ2BCbCqMLQ8AYJ5u1YZ4RRRqdWcjgHY7 +bzLEtee2JlyKmdG/0RvWlhMyK1zeaFRPV8WN1681KGcfwcNIRztVn+uB9JYA +VCxQ7naJSrfPmndA2cpIXJse6uLo4trNFDefbSXaDVhJkdalcexUrX9qUjzt +fE7JGz7QMCttylwVdRc/uCyJhCBWdGNOpAddwaE8aiI/DYAZsfViZHkAgBGQ +1p/ym7SkX+NQtKPkdHSQt9+3sRtDPpxm7+AVnt7XY4D2tENsTVxzJjq5lFep +1YQUa/sjYFJgdqtGBdJ1VUHHvbDJ72q2ZBgIb3X4hvLuJy0LSigVyiiC1Ock +hfrOXpF6KHZzqJ+ze8jRwswD26OCvZxmb8jlthcE21qrDsHtt/zHUm2ZqoKk +vQKLIlF8qhUr/WIuh4YeaOuNbk4ZFBur8gAAY9BRuNhpxs8V/WsVa73iM9Yh +Sr4+k9RlfGZjNfdMg/Jsn3TakfDqXoq0ygbfGlKVFn24TIjbIFv49Ht312+K +NVZxdF2Vf8rNXT1vQx5+a2rjekvmm7T9wZmdq/xdhg91CKPelk5QvM7J1l/e +eQ5rzvSzsg/7sw2VSaqTPccvyKm85jfGVjXd8AuCrcfMvUHvvIVk8mFNJDKi +WNGPec+nZHowbNQ6cmp0sbEoDwAwBtwbc+xnnqjTqCX1njX8gkX2b6u20Emm +HXH1Qc8RNsEFWuf9ONZay49FH6uQLxLxChApj5vutFRzYUfXVRnafnvX+sOl ++HdCGNtbHb7J5F2DCjc5j/PLbDa8nffJ5/mf24wL7F0Y824tHEd1YSypP/vl +fD85704aNcaDo/jnwsh89fmbJZGQxEqvmJPqQRvaesPxU49R6ys29uQBAMaA +fzvI0fNXzQ1y9ZLpfLByotsPT5UbFWRLYim36OrNKu3S17b26HHMex5TPRRM +sR/66khn9zlrH6pqXFS63X1ypGbjbnquYl1l6XsOP+IT1pCRvSXzrZfO+1+5 +f3CpxfBjU1pN9XEvW9UFhRepM+04J/EajJNAsjBmRyRksaIfc516MHjUeH7S +H7XeYmNPHgBgDJDyWE/XKE2ty0tm6j5FD2xxZZK3965nvbvqomc7aF/mJrYm +w22QLePfWeLCSdcsHjquIi8uxiffbVfci4S2l1y4XE/5Tj2GvCUyhQkbqpp7 ++gUhFQc//pr6np7m5LNVbfKpQ15mLnILkO/oyNCmC4FTl2Y1U2633gPJ5MOW +SIhjRS/m+umB+qj1zymDYmNPHgBgFETPd3pxNC8Od5eMlfXCzbsTk+J/Wrvt +bO/1XnHzo8t7fEcPc96QcadcQFncBNZ6wClA0bOdXvMO1Wg9yUHVVWlzVrjL +a0NeUTJkqHvMP9RvImfKW3xTGPfWqmm2Lv5RMUdOph3PrhRSXMdjSMOtRN/R +Iz13/1nZWp79o+vwUZx912taHmeEO/xrfFh6EQ9py41ZvSkh9WjilsjYvDba +dwOTTT7siIQ4VvRirq8eqI5a35ziW+uDhtjYlQcAGAWUm7vl0z39bx9V32ow +HHrWMP7drUE7HnTgFLjxXaVtkMRbI/jGGiYlkgGLuUmNWqZj4ABggYhqMhOS +rzf2LRAVJRNXzmQBUrQmqslKSrzaQHiPr5FdpWlQh7eM+8YmpiKSgY25qYxa +prs0AMAiwZCW1p4dc5mUX5yxZsKwN97fl1XMM/hBcXrWUGETF9GxLDSaq8x6 +y7hv7GMKIhn4mJvCqGXUSgMAAAAAAAAAAAAAAAAAAAAAAAAAAACwcND2wtiV +gZzJDtOW7n8iGIxXkSECAIuA/AAAD2Fl2pG/eKgMqUzxnRAwGJ8ahAgALALy +AwBcMGmXVLFWExSt4Sy/S68jgEUAEQBYBOQHDDiYxJzOzwWP965IptCw1XIZ ++AiYl0IAowIFCBgAUpdz4rennbomFAypz0tZ7//OJ3lM9WSXySQN5xZPD+l9 +aRjKKzqfnt+M96I0Ere6yk6smTvR6vVRDt4Rx56rv+0Z6yhJP5TbQvhgI7WB +CytObwkN8Jnypv3M5WnVDL0SgIGB94Fy82MjNsWnHonfGBF3m6v2FjtdEaAI +CwrBT6vuQFFylUQzeqItEoZcBfkBgxVJ4+/rvkihsLDBRC9r6++td7Jhqie7 +vD3M+eXeVvbqL7TsepIQ8t21Vupq7vo7bu3+O02IuPX+/o+sR3jsLVOWLyas +zj5/s0ncXTud1WV87X5v1AYuqj79y5VaRN6W+uLitxz79evRGyYGrgJtubzM +bcG5xu6vShvOzncLudLSMz3oigBVZ9lQCGFaSQNF0VVi43pCIBIGXAX5AYOU +bmGFeEUUanU9I4B2u20yxLXntiZcipnRv4Ea1pYTMitc3guUmpHG69calDOL +4GGko52y97S4Nj3UxdHFtZspbj7bSjRbhVIeOCoWKLeoRKXbZ807oNnRRw8Y +GbgKaV0ax07VnacmxdPO55S8i4KuCFCEHYUQpVUOYaCoukpmXD+IRGKwq4Ne +fsBgRVp/ym/Skn4NOdGOktPRQd5+38ZuDPlwmr2DV3h637v7ac88xNbENWei +k0t5lVrNPbG2PwImBWa3ahYJqWMKOu6FTX5Xs6sBMwOXobz7ScuCEkqF2raM +PXAZUp+TFOo7e0XqodjNoX7O7iFHCzMPbI8K9nKavSGX214QbGutml3bb/mP +pdrVlAosKqQXrbQSBIp2TnGNG+KttkiYcnWwyg8YtHQULnaa8XNF/8rEWq/4 +jHWIki+hJHUZn9lYzT3ToDwhJ515JLy6lyItZeNbQ6rSog+XCXEbTwuffu/u ++k2x9kKLxDH5p9zc1fM25FFrF01v4NL2B2d2rvJ3GT7UIQync5zRBy4TFK9z +svWXN4fDmjP9rOzD/mxDZZLqZM/xC3Iqr/mNsVVNB/yCYOsxc28wdkWQNYWo +PsVJK36g6LpKYFxfb/FFwoSrg1h+wKCFe2OO/cwTdRpyV28rwy9YZP+2apeb +ZOYRVx/0HGETXKC1TYFjrbX8WPSxCvk6Dq9GkPK46U5L8dZexI7J0Pbbu9Yf +LqV6VZvuwOVg/MJNzuP8Mpv7/8ZADJyk4/bJ5/mf24wL7F248m4tHEd14Sqp +P/vlfD8NFkbmq0/VLCmEPK34gaKdU1LN6OOtTFskDLmKY1kPP81PfsCghX87 +yNHzV809bHVVdz5YOdHth6fKvQSyVbGUW3T1ZpV2oWtbe/Q45j2PqR4KptgP +fXWks/uctQ9VZSgq3e4+OVKzGzaZY1hXWfqew4/41EVNd+A9dN7/yv2DSy2a +GzTGHzjJ5JBWU33cy1a14f8idaYd5yRe1279YEchOtKKHyh6rurUDF1ve+kv +EiZcxbdM308zlB8waEHKYz1dozTlKFf11H2KxtXiyiRv713Peje+Rc920L7S +TWxNhtt4Wsa/s8SFk46nb3xTyIuL8cl32xU3B6HtJRcu1+u+64r6wDFhQ1Vz +T+ccpOLgx1/jbKoYf+Cak8NWtcmhDnmZucgtQL7jIkObLgROXZrVTLkXuk7Y +UwhJWvEDRcdVfTRDYpBYJIa6OsjlBwxeRM93enE0LwV3q9rKeuHm3YlJ8T+t +3Xa295KsuPnR5T2+o4c5b8i4Uy6grD8Caz3g1Ijo2U6veYdq8B62wDElbc4K +d3ltyCtKhgx1j/mHyjRDdeAY99aqabYu/lExR06mHc+uFFI/N2Nq4BjScCvR +d/RIz91/VraWZ//oOnwUZ9/1mpbHGeEO/xofll7EQ9pyY1ZvSkg9mrglMjav +jdFVKzsKIU0rUaCouqqvZggNEovEUFcHvfyAwQvKzd3y6Z7+d3iq7wYYDj1r +GP/u1qAdDzpwa5BJx8xq4GxiRoEyvqv0DLLqqoXIDxjMiGoyE5KvN/at4RSq +jitnskYoWhPVZCUlXm0guqOXWcfMaOAsY0aBMrKrdAyy7KrlyA8YzGBIS2vP +prZMyi/OWDNh2Bvv78sq5hl8ek7PGips4iJEKzdmHVNiDgM3CcwoUEZzlZ5B +Vl21NPkBAAAAAAAAAAAAAAAAAAAAAAAAAAAAgNFB2wtjVwZyJjtMW7r/iQCu +owMDDSgQAAAthJVpR/7ioTKkMsV3QkAOl21/gMEGKBAAAG0waZdUsVQVFK3h +LL8LPRGAAQYUCGiBSeD8GVAieLx3RTKFlrjMAfID1Bl4BQIDCFKXc+K3p526 +ah5D6vNS1vu/80kec+1ZJA3nFk8P6X2vF8orOp+e34z3Kj06rmJdZSfWzJ1o +9fooB++IY8+p9s0gQVhxektogM+UN+1nLk+rRphzFccyA9CNKikoNz82YlN8 +6pH4jRFxt7lqb8nDOkrSD+W2GPqgKAvyw1eIycpPiVGKBRQImCqSxt/XfZFC +YeGBiV7W1t9b72TDVE92eQeX88u9rezV3znZ9SQh5Ltrrbhqo+hq199xa/ff +aULErff3f2Q9wmNvmYEFJ6o+/cuV2m4j0qaLi99y7O2qw4CrBJYNg2ZUyUFb +Li9zW3Cusfur0oaz891CrrT0zA2YsDr7/M0mcfd/6awu4+s7PbAiP2KFmKL8 +en/eKMUCCgRMlO7Eh3hFFGo1JiOAdsdtMsS157YmXIqZ0b/HGdaWEzIrXN6u +U09XxY3XrzUopwPBw0hHO1XDaH1BxQLlRpKodPuseQd6++4Y7CqhZQOgGVUd +SOvSOHaq7jw1KZ52PqfkXRTEtemhLo4urt1McfPZVoLTLJUK7MiPTCEmKL8e +s8YplkGvQMBUkdaf8pu0pF/PTLSj5HR0kLfft7EbQz6cZu/gFZ7e93p92pMD +sTVxzZno5FJepVb/Taztj4BJgdmtmi3UaLqqoONe2OR3NVsR6OOt4lPe/aRl +QQmlff3emHJV27K+ftKNqkyG1OckhfrOXpF6KHZzqJ+ze8jRwswD26OCvZxm +b8jlthcE21qrZtf2W/5jqXY1pQKL8utFSyEmKT+jF8tgVSBgsnQULnaa8XNF +/+LBWq/4jHWIki9xJHUZn9lYzT3ToDxhJp0cJLy6lyIt5eFbQ6rSog+XCXF7 +Qwuffu/u+k2xxkKIrqvyT7m5q+dtyMPv8UzH226k7Q/O7Fzl7zJ8qENYX383 +JlzFt6yXn/SjKkdQvM7J1l/eHA5rzvSzsg/7sw2VSaqTPccvyKm85jfGVjUX +8AuCrcfMvcHY5UbW5Kf6FEchpic/YxfLIFYgYLJwb8yxn3miTkOO6p1f+AWL +7N9W7UKTTA7i6oOeI2yCC7S2EXCstZYfiz5WIV9n4WkYKY+b7rRUc21E11UZ +2n571/rDpfiXoul4q7YDj/ELNzmP88tsxhh1FceyHn7qE1U5JB23Tz7P/9xm +XGDvqpV3a+E4qqtWSf3ZL+f7abAwMl99qmZJfuQKMTX5DUixyAapAgGThX87 +yNHzV809ZnXVdT5YOdHth6fKc32yhauUW3T1ZpV2LWpbe/Q45j2PqR4KptgP +fXWks/uctQ9VZSIq3e4+OVKzYTU9V7GusvQ9hx/xCWVI3dun/fY5Ou9/5f7B +pRaMOVfxLdP3U6+oyiGZGdJqqo972ap2+1+kzrTjnMTr2q0f7MhPh0JMTH4D +UCy9DEIFAiYLUh7r6RqlKRe56qbuU7SpFlcmeXvveta7MS16toP2xWhiazLc +3tAy/p0lLpx0Tf3RcRV5cTE++W674nYetL3kwuV6yrdK4RnEhA1VzT39bZCK +gx9/3bfvYairxJb18VMF9ajK0ZwZtqrNDHXIy8xFbgHy7RYZ2nQhcOrSrGbK +vdZ1wp78SBRicvJTYYxiGeQKBEwX0fOdXhzNq7XdqrOyXrh5d2JS/E9rt53t +vWQqbn50eY/v6GHOGzLulAso64PAWg84GhY92+k171CN1sMQVF2VNmeFu7w2 +5BUlQ4a6x/xD/S5eHIMY99aqabYu/lExR06mHc+uFKqWkIa6SmxZHz/7oBFV +DGm4leg7eqTn7j8rW8uzf3QdPoqz73pNy+OMcId/jQ9LL+IhbbkxqzclpB5N +3BIZm9fG6JKVHfmRKsTk5NeHEYpl0CsQMF1Qbu6WT/f0vwNT/WzdcOhZw/h3 +twbteNCBUyPGd5WeQVZdZSyq7GJGgTI1+clAgYClI6rJTEi+3ti3xlKoLq6c +SQ1TtCaqyUpKvNpAeNOtkV2lY5BlV5mMKruYUaBMSH4y1r21HAUCpgyGtLT2 +bDrLpPzijDUThr3x/r6sYp7Bp8/0rKHCJi6iY2VlNFfpGWTVVeajyi5mFCgT +kR/b3lqaAgEAAAAAAAAAAAAAAAAAAAAAAAAAAABAhrYXxq4M5Ex2mLZ0/xMB +XOcGTBFQKQAMMoSVaUf+4qEypDLFd0JADpdtfwBAG1ApAAw2MGmXVLEMFRSt +4Sy/Cz0LABMEVDrIwCRwbgwoETzeuyKZQtdaAGAPUKnZgtTlnPjtaaeuQw6G +1OelrPd/55M8BtqnCCtObwkN8Jnypv3M5WnV8ofLUV7R+fT8Zq33bdH0E+sq +O7Fm7kSr10c5eEcce47fo0AfJA3nFk8P6X1FGEPe4sSBBVdJQbn5sRGb4lOP +xG+MiLvNVXuRHdZRkn4ot8WwBzmp5Yul1INKexj0KgXYQNL4+7ovUigsKjDR +y9r6e+udbBjoyS6qPv3LldpujUubLi5+y7G3j0zXk4SQ76614sqIop9df8et +3X+nCRG33t//kfUIj71lzFSSpP78cm8re/XXVzLgLUEcBtRVctCWy8vcFpxr +7P6qtOHsfLeQKy09dY8Jq7PP32wSd/+Xzuoyvr6lTyVfbKUeVNoDqBRgge6k +hnhFFGo1DiOAdlNsop8VC5Q7g6LS7bPmHejtNIO15YTMCpf30tTTT3Hj9WsN +yjoXPIx0tFN1czYIce25rQmXYmb0b5dmsLeEcRg4V3UgrUvj2Km659SkeNr5 +nJJ3ORDXpoe6OLq4djPFzWdbCU4zU5WJpsxVUXcJYkEhX+ylHlSq/I+DQKWA +qSGtP+U3aUm/npZoR8np6CBvv29jN4Z8OM3ewSs8ve/197SPTaTWus/j7yct +C0oo7etwhrX9ETApMLtVs78ZTT8VdNwLm/yuZp8AfVwV15yJTi7lVWq18mTK +W+04DJSrMhlSn5MU6jt7Reqh2M2hfs7uIUcLMw9sjwr2cpq9IZfbXhBsa62a +Odtv+Y+l2nW0Lxq1xz8IpHKPFH6+2E294lNQKUEcBsrVAVApYGp0FC52mvFz +Rf/CwFqv+Ix1iJIvXyR1GZ/ZWM0906A8GSY9Nkl4dS9FWqoitCZtf3Bm5yp/ +l+FDHcL6OpoJn37v7vpNscYKh66f8k+5uavnbcjDb8BMx1WkKi36cJkQt800 +E97ix2GAXJUjKF7nZOsvb96GNWf6WdmH/dmGyiTVyZ7jF+RUXvMbY6uqc35B +sPWYuTfonTZTPDYR5YvN1MtApYNFpYCpwb0xx37miToNqal3ZuEXLLJ/W7XD +THJsElcf9BxhE1ygtUVAbE0Oxi/c5DzOL7NZKWykPG6601LNRQ9dP2Vo++1d +6w+X4l9jpuNqa/mx6GMV8uUeXikx5C1OHAbIVTkkHbFPPs//3GZcYO+KlHdr +4TiqK1JJ/dkv5/vJeXfSqDEeHMU/F0bm40/DxPliL/Wg0sGkUjUIVQoMIPzb +QY6ev2ruH6srqvPByoluPzxVnseTnTdJuUVXb1Zp1xmxtR4673/l/sGlFuX3 +RKXb3SdHanaTpucn1lWWvufwIz6hvqi7+uhxzHseUz0UTLEf+upIZ/c5ax+q +qpUJb/HjMECuyiGp+rSa6uNetqqd/BepM+04J/G6apOg+7yJNF+spR5UOphU +CpgaSHmsp2uUphTkipq6T9FJWlyZ5O2961nvprPo2Q7a90LgWcOEDVXNPR1d +kIqDH3/dt0vAv7PEhZOuKSw6fiIvLsYn321X3KeDtpdcuFxP+R4o4oHLcNtM +G+wtcRwGyFU5mlW/Va3q65CXmYvcAuRbKTK06ULg1KVZzZTbofeg69ikI18s +ph5UOnhUCpgcouc7vTiaV2K7FWVlvXDz7sSk+J/WbjvbezlU3Pzo8h7f0cOc +N2TcKRdQzj2ONYx7a9U0Wxf/qJgjJ9OOZ1cKVQsu0bOdXvMO1Wg95UDVT2lz +VrjLa0NeUTJkqHvMP9RvzyUYeA84pWSot8RxGDBXMaThVqLv6JGeu/+sbC3P +/tF1+CjOvus1LY8zwh3+NT4svYiHtOXGrN6UkHo0cUtkbF4b7eUo6bGJQr5Y +Sz2odBCpFDA9UG7ulk/39L+7Uv1M3HBoWMP4d7cG7XjQgSN+4/tJ2yCr3jLm +quljaqkHlVJmEKkUMAaimsyE5OuNfesnhaLiypnUJxVropqspMSrDYR30xrZ +T5oGWfaWSVdNHxNKPaiUBoNLpYAxwJCW1p4NZZmUX5yxZsKwN97fl1XMM/jU +mIY1VNjERXQsmYzmJ22DrHrLvKumj4mkHlTKoqsAAAAAAAAAAAAAAAAAAAAA +AAAAAACWA9peGLsykDPZYdrS/U8Ehl4uZdaasc1aBpBBYCABhQADgrAy7chf +PFSGVKb4Tgig8kLrgbNmbLOWAWQQGEhAIcDAgEm7pIo1iqBoDWf5XQNffc+s +NWObtQwgg8BAAgoBBhbB470rkin052XDmrHNkoBJzGZzATKIixll0LywGIUM +YpC6nBO/Pe0krxCsq+zEmrkTrV4f5eAdcew5/nv9aSGsOL0lNMBnypv2M5en +VcufHUd5RefT85u1XqfV/esdJemHclv0eR5Q0nBu8fSQ/i3M9Lcmf9NLfmzE +pvjUI/EbI+Juc9XeK2iQ2T4opUP+zGR9Xsp6/3c+yWOgUw2dXJD5RCwSyKAW +TGYQP/K6k2gGtU8Bs1MIQAVJ4+/rvkjRuQzo+jtu7f47TYi49f7+j6xHeOwt +M/C1JqLq079cqUXkPbsvLn7LsbdNTNeThJDvrrX2yz0mrM4+f7NJ3K2Zzuoy +Pi1dSOrPL/e2sld7paQh1hSNrJe5LTjX2P01acPZ+W4hV1pQBsz2+UstHd2/ +J3pZW39vvZMNzdfC40EjF6QQigQyiAOTGSQuT7IkmkHtU8HcFAJQojsNIV4R +hVpNwTQRN16/1qBUpOBhpKOdqgOy3r8sFij3MkSl22fNO9DbSAZrywmZFS5v +ldn707XpoS6OLq7dTHHz2VaC0xOT2O3ac1sTLsXM6GthZoi1bqR1aRw7VaeY +mhRPO59T8jf6G2i2F6rpUELahpjOz1LNBTlEIrG0DEqbMldF3cVPEjsZJCtP +wiSaQe1TwdwUAlBDWn/Kb9KSfv0q0Y6S09FB3n7fxm4M+XCavYNXeHr/V9vL +Ou6FTX5X8936xJAbRHn3k5YFJZT2NTDD2v4ImBSY3UpVoMT2xTVnopNLeZXa +7TVJQOpzkkJ9Z69IPRS7OdTP2T3kaGHmge1RwV5OszfkctsLgm2tVbXZfst/ +LNUOm1Sgmw7aMxtTuWBWJOaWQZKuHyxnUI5W5AmSaE61b0EKASjSUbjYacbP +Ff2lhrVe8RnrECVfvkjqMj6zsZp7pqHv9BXj5q6etyEPv2mxhFf3UqT1CaFB +afuDMztX+bsMH+oQ1tewTPj0e3fXb4qpr3bw7SNVadGHy4S4rZ9JERSvc7L1 +lzcqw5oz/azsw/5sQ2WS6mTP8QtyKq/5jbFVKZVfEGw9Zu4NBq739EA3HaQz +m3FzYYBIcDCvDJLMPGxmsOdTnMjjJ9G8at9iFAJQhHtjjv3ME3UaG6fqXVf4 +BYvs3+7dEJY/fnZ71/rDpfhXQ8XVBz1H2AQXaEmExKBM3ralcJPzOL/MZqVR +pDxuutNSOisVHPut5ceij1XI11a0dUvS/fnk8/zPbcYF9q6peLcWjqO6ppLU +n/1yvp8GCyPz1QudbjpIZjaj50JfkeBjXhl8d9KoMR4cE8wgfuTxk2hmtW8p +CgEowr8d5Oj5a5XGKbq6DDofrJzo9sNTxWk31lWWvufwIz5hpKXcoqs3q7TF +S2Swl877X7l/cKlF+T1R6Xb3yZGazaLJ0Lb/6HHMex5TPRRMsR/66khn9zlr +H3bqMqSARLdpNdXHvWxVe9EvUmfacU7idZDWD3rpIF91GzsXeosEF7PKIMmq +mM0MEkYeP4lmVvuWohCAIkh5rKdrlKYU5DKYuk/RJVpcmeTtveuZfG2CvLgY +n3y3XXHHCtpecuFyPeW7dfAMYsKGquaehi1IxcGPv+47r+ffWeLCSaejBnyH +leC0fiZHU7db1XRbh7zMXOQWIN8MkKFNFwKnLs1qptydXid00iFH9GwH7Svp +TOWCWZGYVQZJZh62MkgaefwkmlntW4pCAKqInu/04mhe2+yWgZX1ws27E5Pi +f1q77az8qqO0OSvc5bUhrygZMtQ95h/qN5LiGMS4t1ZNs3Xxj4o5cjLteHal +ULXgEj3b6TXvUA2dBx1w7PdBT7cY0nAr0Xf0SM/df1a2lmf/6Dp8FGff9ZqW +xxnhDv8aH5ZexEPacmNWb0pIPZq4JTI2r43RG0mppkOOuPnR5T2+o4c5b8i4 +Uy6gXDxM5YJZkZhVBslmHnYySBp5oiSaV+1bjEIAqqDc3C2f7ul/P6T66TMj +0DCI8e9uDdrxoIPWlhDjDrOG8dPBVC5Y88rEMakMykiTaFa1bzkKAagjqslM +SL7e2Ld+UsggrpxhfVIxKKrJSkq82kD1FlXa9s0BI6eDqVyw5JU5YCoZlOku +KPOpfYtSCEAdDGlp7dn/lUn5xRlrJgx74/19WcU8JjasaBhEhU1chO49LYw7 +zD5GSwdTuWDNK3PBFDIoo1ZQ5lD7FqgQAAAAAAAAAAAAAAAAAAAAAAAAAAAA +SwZtL4xdGciZ7DBt6f4nAsZebmIksxYDs/GxpCSacmQsKc4AYNoIK9OO/MVD +ZUhliu+EAMYe1zOSWYuB2fhYUhJNOTKWFGcAMHEwaZdUsVATFK3hLL/LVLsN +I5m1GJiNjyUl0ZQjY0lxBowAJoGTXuYRPN67IplCs1TTMEuCecmD2fhYTBIZ +/1FTtmZss4ABIHU5J3572qlrTsGQ+ryU9f7vfJLHQMMiYcXpLaEBPlPetJ+5 +PK1a/rQ3yis6n57fTPIePUp+Yl1lJ9bMnWj1+igH74hjz+k0amDQVRIkDecW +Tw/p9+4vrKMk/VBui34PFaLc/NiITfGpR+I3RsTd5qq9ls0gs32wIA/8JOoX +du30qX5F//iYXRJxIKkUfX4U4gwwjKTx93VfpFBYLWCil7X199Y72TDQBFxU +ffqXK7WIvHnxxcVvOfa2dOl6khDy3bVWXH1Q9LPr77i1++80IeLW+/s/sh7h +sbfMwLec6OEqGZL688u9rezV3kuJCauzz99sEncXTmd1GZ+mRbTl8jK3Beca +u78mbTg73y3kSgvKgNk+f9mQB3ESaYedIH2GxcfckogLYZD1+lGIM8Aw3dkK +8Yqg/HJ52i2kiX5WLFBu/YhKt8+ad6C3iwzWlhMyK1ze3FJPP8WN1681KGtM +8DDS0U7VW3nAXCV1r/bc1oRLMTP6+qCJa9NDXRxdXLuZ4uazrYR6t18F0ro0 +jp2q10xNiqedzyl5hwEDzfbCjjzIkkg37ATpMyQ+pphEaVPmqqi71HtEEAdZ +z7FAnAFmkdaf8pu0pF+zSrSj5HR0kLfft7EbQz6cZu/gFZ7e9z562pMPqTUZ +yruftCwoobSv2RjW9kfApMDsVo2ph66fCjruhU1+V7MHgNFdJbEjrjkTnVzK +q6TVoxOpz0kK9Z29IvVQ7OZQP2f3kKOFmQe2RwV7Oc3ekMttLwi2tVZN3e23 +/MdS7dFJBZblIUcrifTDrvhUK336OmaaSSRrysBspUCcofnFgNBRuNhpxs8V +/UWJtV7xGesQJV+bSuoyPrOxmnumQXmWSzr5SHh1L0Va61lCa9L2B2d2rvJ3 +GT7UIayvuZjw6ffurt8Uayxd6Pop/5Sbu3rehjz8dshGdJXQDlKVFn24TEi/ +f7SgeJ2Trb+81RnWnOlnZR/2Zxsqk1Qne45fkFN5zW+MrarA+AXB1mPm3mDg +cmAPbMqj51OcJNIMu4wofTowrySSz5kGVAoda4M+zgCDcG/MsZ95ok5DRuqt +UvgFi+zfVu0ek0w+4uqDniNsggu0ZERsTQ7GL9zkPM4vs1lZGUh53HSnpZqr +Gbp+ytD227vWHy7FvxPCqK4S2GktPxZ9rEK+JKRdbiT9o08+z//cZlxg71KQ +d2vhOKpLQUn92S/n+2mwMDJffYpiWR74SaQVdpL06cK8kvjupFFjPDh4SSQY +C6VKwQfiTBRngDn4t4McPX+t0jiZV1dL54OVE91+eKo8RydbGEu5RVdvVmlr +nNhaD533v3L/4FKL8nui0u3ukyM1O0XT8xPrKkvfc/gRn1A4xnQV386jxzHv +eUz1UDDFfuirI53d56x92Kn9VRxIyi2tpvq4l61qC/1F6kw7zkk63ezJYVMe +hEmkE3ay9OnCrJKoYz2vd6XQstbL4I0zwBxIeayna5RmncvVMnWfou+yuDLJ +23vXs94NZdGzHbQvduNZw4QNVc093VqQioMff923A8C/s8SFk66pGDp+Ii8u +xiffbVfcgIO2l1y4XE/5Tj0mXCV2TAm9/tEy7XLbqlZudcjLzEVuAfI9DBna +dCFw6tKsZsrNvXXCljxIk0gv7MTp088xJaaWRArHJuYqBeJM70uAXoie7/Ti +aF4F7VaLlfXCzbsTk+J/WrvtbO+lTnHzo8t7fEcPc96QcadcQDmpONYw7q1V +02xd/KNijpxMO55dKVQtsUTPdnrNO1Sj9QgLVT+lzVnhLq8NeUXJkKHuMf9Q +v4mcEVfx7fRBr9wwpOFWou/okZ67/6xsLc/+0XX4KM6+6zUtjzPCHf41Piy9 +iIe05cas3pSQejRxS2RsXhuj97+yIw/SJNILO3H69HGsD1NLou5jE4OVAnGm ++zVAH1Bu7pZP9/S/bVL9LNtwaFjD+He3Bu140IEjbOP7Sc8giatGcIw1TEoe +sgENu+Uk0bQjY0lxBhhGVJOZkHy9sW9xrFBLXDmT2qNiTVSTlZR4tYHwTlYj ++0nHoA5XGXeMTUxFHrIBDrslJdGUI2NJcQaYB0NaWns2i2VSfnHGmgnD3nh/ +X1Yxz+ANIhrWUGETF9GxFWA0Pxl0lXHH2McU5CEb0LBbUhJNOTKWFGcAAAAA +AAAAAAAAAAAAAAAAAAAAAADjg7YXxq4M5Ex2mLZ0/xOBWb5bxAKGYHkwmxRI +MTkQH8DiEFamHfmLh8qQyhTfCQFm+bScBQzB8mA2KZBiciA+gOWBSbukimWW +oGgNZ/ldxtpGDCAWMATLg9mkQIrJgfgAdMAk5nRqLXi8d0UyhbatJszAD8G8 +UswKzCYFUkyOBVQxoBdIXc6J35526hIrhtTnpaz3f+eTPMMbBGFdZSfWzJ1o +9fooB++IY8+Vr6dGeUXn0/Ob8d6VRtdUz0cdJemHclsIn+mjNnBhxektoQE+ +U960n7k8rZqh59clDecWTw/pfVEY8cB1DYEiLKQYJ26680vJT5KMG4Yxk0Ks +IjNOsRKqcSNzy8hVzLpmAPpIGn9f90UKhTUJJnpZW39vvZMNAz3Zu/6OW7v/ +ThMibr2//yPrER57y3qLtetJQsh311qpFyqhKUxYnX3+ZpO4WzCd1WV8LYsU +By6qPv3LlVpE3o754uK3HPu1qtEbSf355d5W9uovscQbuK4hUP01NlJMEDey +/FL0k1g8hmHMpBCqyJxT3Pvb1OJGirGrmGXNAHqAtlwO8Yqg/A562k238RE3 +Xr/WoBSH4GGko52qUbK853ZOyKxweRtMg0yJa9NDXRxdXLuZ4uazrUSzTSrl +gaNigXL7Q1S6fda8A5rdjPRAXHtua8KlmBn9m6ZpDVzXENSQNmWuirqLPxh2 +UkwYN8L8UvWTTDwGwHxS1CGIhnmnWAHFuOkwYuQqZlczgD5I60/5TVrSrxkp +2lFyOjrI2+/b2I0hH06zd/AKT+97bT1tVZNaU9BxL2zyu+ptGLC2PwImBWa3 +aqZWD1PE0B1498n6/aRlQQmlQm1bNAcurjkTnVzKq9Rq6Ek0cCrDIX51P8sp +1o4bwTBpZ0QOjYyTG2QsKcyqSA3TTDHtuLFbxTTtMzx2gA4dhYudZvxc0T9P +WOsVn7EOUfIDv6Qu4zMbq7lnGpRnqKSqlvDqXoq08kFiTf4pN3f1vA15/Xob +C59+7+76TbH2GpK+KYYGLm1/cGbnKn+X4UMdwnCaptEZOFKVFn24TIjbbJpw +4DohmbjYTDF+3PCHSddPmY6Ms5YUfVWkA1NMsV5xY62Kddtnv5ABFdwbc+xn +nqjTqBP1jir8gkX2b6u2x0lULa4+6DnCJrhA6/ya2JoMbb+9a/3hUo0Lk0h5 +3HSnntaVhppibOByMH7hJudxfpnN/X+DzsBby49FH6uQL7vwJE08cAIk9We/ +nO8n591Jo8Z4cBT/XBiZr155LKdYph03/GHSzghpxllMin4qIsKEU6xv3Fis +YpPVDKAF/3aQo+evmpdQ1HPR+WDlRLcfnio3IchWXFJu0dWbVdppJ7KGdZWl +7zn8iK/1BVHpdvfJkZqdwPUyxdjAe+i8/5X7B5daNHejKA/80eOY9zymeiiY +Yj/01ZHO7nPWPlRNXMQD1wXJoprNFPfSP274w6Tnp86Ms5gU/VSkC5NLsd5x +Y6uKTVkzgBZIeayna5RmEOW5mLpP0aFZXJnk7b3rWe+OrejZDtpXUfGtIS8u +xiffbVe07kbbSy5crlfdOMO/s8SFk16Ps+lB2xQDA8eEDVXNPV2DkIqDH39N +fTeGOIwy/GbTxAPXBcnExVaKieOGP0w6fuqTcZ0DlzGVFGZV1IsJplgFvbix +UcWmrhlAG9HznV4czQuD3bmwsl64eXdiUvxPa7ed7b2WKG5+dHmP7+hhzhsy +7pQLUKo/gWNN2pwV7vLakFeUDBnqHvOPSimiZzu95h2qwXtEgK4pBgaOcW+t +mmbr4h8Vc+Rk2vHsSiH1VR1BGHvAkTTJwHVBMnGxlGLiuBENk6qf+macdOA9 +MJMUZlXUi+mluA96cWOhik1eMwAOKDd3y6d7+t+cqX4Oazj0rGH8u1uDdjzo +wC1eJh0zq4EbhEmNlGSYxveTtkG9ksK4z7oxqRTLLKqKaRs0XiEPQkQ1mQnJ +1xv7Fh+KXMSVM6lqitZENVlJiVcbiO7vZNYxMxq4oZjKSHUN08h+0jSoZ1IY +95kSppJimYVVMU2DRi7kQQiGtLT27IbLpPzijDUThr3x/r6sYp7BO6b0rKHC +Ji5CtN5g1jEl5jBwZjCFkVIZptH8pG1Qr6QYRaUUMYUUyyyqimkbHIBCBgAA +AAAAAAAAAAAAAAAAAAAAAABgoEHbC2NXBnImO0xbuv+JAK4IAgMECI8ciA8w +uBFWph35i4fKkMoU3wkBBI8JAgDTgPDIgfgAgxxM2iVVrMkERWs4y+/Cmw6B +gQGERw7EBwAUCB7vXZFMoQUnc2AS2KcAQHg6GPj4AMBAI6w4vSU0wGfKm/Yz +l6dVqz8wjXWUpB/KbTH0qTekLufEb087dVU+htTnpaz3f+eTPKYaTMtkkoZz +i6eH9L4gC+UVnU/PbyZ5NxYlV7GushNr5k60en2Ug3fEsedUmwCQoJ0Ck3VV +Cd3A4gHCI3eLOHe64mNpMiaRigEwoWHAiIiqT/9ypRaR94m+uPgtx772KJiw +Ovv8zSZxd9Y6q8v4+s4Tksbf132RQmGBh4le1tbfW+9kw1SDaXm/nPPLva3s +1V/e2PUkIeS7a624o6HoatffcWv332lCxK33939kPcJjb5mBtUKQAlN0tffn +6QUWFxAeOYS50xUfy5MxoVQMgYkcAUYFFQuUexmi0u2z5h1QNlAR16aHuji6 +uHYzxc1nW4mebR/RlsshXhGFWh2+CKDdYJoMce25rQmXYmb0bxaGteWEzAqX +973U01Vx4/VrDcoyFjyMdLT7Tx7PMEcJUmCKrvaYpRdYAkB45EYIcqcrPhYo +Y0LLBsCMhgFmQDtKTkcHeft9G7sx5MNp9g5e4elqL4hHefeTlgUllApJLNBH +Wn/Kb9KSfs0nSd2gPUUQWxPXnIlOLuVVajWyxNr+CJgUmN2q2VSQpqsK/n/2 +3j0uivrt/8+/eqT1UTNSNCoQRARBJT9inFKzSOhEeXsI+j0o00jAzNRC69Ot +t7cH5GBheoNoKJKgfjN5iGKGiiCCJooYKHEUFhCWPcCyO7s7sz922V32MDM7 +swdmFq7nXz2kvfZ1va/Xe+Y975mdq+dmlMd8w9f6m6NW9VejErBSKt2BBeOp +MW98lNCo3XC2MV2rWLFGgI3BuBcCn3eOVS4LZK25Hzg6LMxpU12/yvm3c3as +CXF/ZrRzFP1GaST0lC13nfNjvb7pCWWYOETIBK2PJUamwY+GNGbFZ9SKcZss +i6u/8/b8qtJgwUlXqvKvvKIvFm0o5uMamY5aBVEJ2CeV/sDSz9oK2JHxyIUp +TNTO0sRNxWeNjU1YxeY1AmyLbu8SYekyp5f1dm4xYdlGt4nBeZ3UFg0yzslP +3gw2YElMia7HeVcWOM091mrgJGIZJIcIadNB37GOS0uNdgBwonHrMuMz65VL +JDz7IXVJs11Xlhk8fUtXqgLlX9+5PqMG/xYyHbUkJWCbVHMGln7WJhhmxiMX +Rl47Y4azjXEim6HTzBpRcR1gPrqV6r29eprX99V618e9tz71Xnyuy3qjLbwe +7uL7s+H2MLEMsuWrnFdx8Wqj8Rwyjnb3XsJrPjN9VMxwGv3kODfvBevuaB0u +qdnm7RFj2PyZnlSsrzZ7d8ZdIeFQUVdLVgKWSTVrYOlnbQXsyHhkwkzWzsLE +7cjG+JHp6zS7RoBNUVZq5l5VA2NpQ2pAwM4HEgUmbmvsHOhSgtQffPdzq26t +IHWJvp6xhpXGkzGA5MF22rekiaMpcJssK4Q3Vrj7Z3MM0qQjFXl0NjmtnK/q +gY3yq86c51B+xIleCVgnVQv1gaWftRWwI+MRhzKndsPSxuZbxYo1AmxKf6Uc +Ji3ZtGtfavIP67aeVN4YxHjX1sya7B4Sm3D4eNbRggaxdS9RJQ93+Pkb3mXF +kaFE2nn3/O6gZ8e4bci9USdCLUhqEBz7SR7s8Ft0qNnodwxUpco786Pdnxr1 +hJpRo70T/qH+9C2tErBO6iA0BpZu1lbBjoyHH8rc2g1DG1tgFSvWCLApule4 +QwTKK9r8/m79J12tK4NeNExYviV8++0eHHvbXiq9gHYkVUGqFoynGMLxYZs3 +GLWxFWsE2BRVpZLqhvIQ0Y+kOS8l7XL74PLIujLoRJM056fuu9hG+LCsjaXS +CWhHUhUm1YLxhnR8WOQNhm1szYMDYDPkwsrcuKljnnt9b36lYIj3UzGkizuw +X2xlGfSioeIOHmJiUWQzqfQC2pFUU2rBeAyMD0u8waiNrX9wAAAAAAAAAAAA +AAAAAAAAAAAAAAAAsBoovyxxdZi/h/Oslfvvi+BuJTBEWNd4YGMAGF6IG7IO +/yVAFUhDetDU0EIe03qAEYJ1jQc2BoBhBibvk6tWmaKKOP9V5ThvygQAG2Bd +44GNAYAOmMxuNhdE9/Z8lkahjSnAeuzIdQprGw9sDIxUkNbCY79V95qa/BjC +KU5fH/LKe8VW6PUprj+xOTI0cMYLTnNXZTUpf4SNCipOZ5d00nsvFdZXeyxu +4TSHp8c7B6zNfKj7VmGspyr7UFEX4Q/oKGVNEt8yZG2nls+O0LyYy3Tu1Gpk +PKoMSKUIE65TY4WMLDAeHsSFs4qN7coYADCArP33Lz9Op7AqwySPWzg317s6 +WqEPtaTpxE8XWvqniLzj7PIXXTT9Vvrup0R8e4lLfVb3/Z20bv+NDkTKvbX/ +nUljffbUqqcdJm4qOH21Q9o/ZXqbaoXGfcWoZU0Y30JknNOrAhycdF8aSZY7 +RbUEozqkUqlGZcJ1mu+2QkZmGw8XwsJZycZ2ZAwAUIN2nY/wW1tm1GCLANp9 +qIm+VipS79FIarbNW3RA05EF6y6MmBet7DlJCWn75Utt6oOC6E6My5S3iwWq +f2/JjnR3cffsZ4ZX4NYqw5aUVLMmim8h0pZTW1LOJczRb1JGmDvlGhGN6tBJ +1UHekbcmthxfNEOuU2F+RrpBzDQeAQSFs5aN2WUMAKCCnPNr8PQVer0f0Z6q +E/HhAcHfJH4d8cYsJ2e/6OzB18TTPkqQRlOgglupH4Wn1Ax2AsO6/widHlbA +NTQ3eRwlPTejPOYbvj3fOlnTjU8eUNqcE59WI2gwaqBJkDtttcajOlRS9WS3 +HF0chv9sGYOuo52RdY1h1cLZqTEAgAo9Zctd5/xYrz+vMO6FwOedY5WrH1lr +7geODgtz2tSX6aRHCZmg9bHEyJSE0eT82zk71oS4PzPaOWqw85e4+jtvz68q +jRecJKqUf+UVfbFoQzG1bsd0szYVn07iSGNWfEatGLe5M37u9NTij+oQSdWF +5NzEmOvMysiKxiOLZqJwONipMQCACrwrC5zmHms1cKpuBxNh6TKnl7Ub1CRH +CWnTQd+xjktLjXYYiKMpwYRlG90mBud1qucFUpc023VlGc7zsiRxUP71nesz +aqg+qUA3a/L4dBLn1mXGZ9Yr15548xo/d9pqFcajOkRSFcq7ECc/eTNYyfzp +4yf4+Kv+c0lMie7BmyHXmZmRFY1nIpqCsHC42KsxdDAwBgBoEV4Pd/H92XD7 +WdeQvbdXT/P6vlq9DUC2gpXzKi5ebTSepsTRBui99an34nNd6s9JarZ5e8QY +dl0mi4P11WbvzrgrpO5xelmbjE898bv3El7zmemjYobT6CfHuXkvWHdHe+jA +z51ujQbQH9Uhkqr3VcTXTcy4zuyMrGc88jQHwC8cHnZqDACgAlKX6OsZa+gk +pSFn7lW1W5Y2pAYE7Hyg2bOWPNhO+640XjRM3NbYOdD5BKk/+O7ng5sMwhsr +3P2zOTh7GviqkEdnk9PK+aqu2Ci/6sx5jukn6ehkbU580oBqcJo7E+ROXS3x +qA6RVF1Izk1Muc7MjKxrDOsVzk6NAQCUkDzc4edveCO335AOk5Zs2rUvNfmH +dVtPau6mSjvvnt8d9OwYtw25N+pEKNWvwImG8a6tmTXZPSQ24fDxrKMFDWLt +ek3yYIffokPNeD+SwIkj78yPdn9q1BNqRo32TviHyhGCatbmxicMOAjOvCbK +napa4lEdMqk6kJybGHKduRlZ1xhWLJx9GgMAqIHyija/v1v/8VTdC3nLoREN +E5ZvCd9+uwd37lhTle2zph2QJHdW1UhhokyUsKuMmBRGjl0NIwDQRtKcl5J2 +uX1w+aUyZFKdNe1NJZqkOT9138U2oodxravK1lnTDGgid9bUSGFaKkXsJyPm +hFHAfoYRAMwBQ7q46sb3cmFlbtzUMc+9vje/UmDxtjGNaKi4g4cQrbisq0qN +zbKmHZA0d1urtb5UithDRkwKo4g9DCMAAAAAAAAAAAAAAAAAAAAAAAAAAAAw +8kD5ZYmrw/w9nGet3H9fBHeUAXpY1z/gRgAAVIgbsg7/JUAVSEN60NRQgl+s +AgAB1vUPuBEAgAEweZ9ctTwVVcT5ryrHeeEoABBjXf+AGwH7BJPBRb6tEN3b +81kahW6wIxIwnkms6x9wI8A0SGvhsd+qe03NfAzhFKevD3nlvWLLO5BifbXH +4hZOc3h6vHPA2syH6hcgo4KK09klnSRv46IkFT+4FZC1nVo+O0LzAjHTavEQ +15/YHBkaOOMFp7mrspp0f3CP9VRlHyrqIvyRI7UyEce3AGskjgMDxtNANyOG +jGdcTWKppvxDgv5oWBoNAKyCrP33Lz9Op7A6wiSPWzg317s6WqE7dt/fSev2 +3+hApNxb+9+ZNNZnT63mINp3PyXi20tc3ClBUSpxcMuQcU6vCnBw0n25JZla +XCRNJ3660IIoW5afXf6iy2BvHUzcVHD6aoe0/+DT21QrNO79Ri13wviWYI3E +caIyYTzNd9PLiCnjEVQTT6op/5BhPBqWRAMAq4B2nY/wW1tm1FOMANrdsfGR +tl++1Kaet6I7MS5T3i4WaP6GdRdGzItWdto0UypZcEs0t5zaknIuYY5+MzVC +tQSgUpF6Z0pSs23eogPq7jvSluxIdxd3z35meAVurTJsG0q5TATxLcH8xOUd +eWtiy/FFM2O8AWhmxJzxiKppJNWUf0hlG40GjWhkJQYAC5Bzfg2evkKv3SXa +U3UiPjwg+JvEryPemOXk7BedPfhmfNqHCNJoKnpuRnnM133RP9b9R+j0sAKu +YfczmlLxg5urVtqcE59WI2gwavRJoNaENlRwK/Wj8JQasYIStHOnGd+aievK +Jm6TwaDx6GbErPFUfzWqJoXBpxifcDSoQdYJBQAsoKdsueucH+v1pxDGvRD4 +vHOsclkma839wNFhYU6b+qqe9BAhE7Q+lhjNFpJoyr/yir5YtKFYrzGzuPo7 +b8+vKg1Wa3SlEgQ3Sy3SmBWfUSvGbUKNr5ZMm5x/O2fHmhD3Z0Y7R1Hr8kYv +dxPxbZ64FpIDF2PGo58Rk8ZTEFXT9OBbPBqUgHMTYCN4VxY4zT3WanD80m3a +Iixd5vSy9rYFySFC2nTQd6zj0lIjfxNHU6D86zvXZ9QY3DNG6pJmu64sM3h0 +la5UguBmqOXWZcZn1iuXmXhTGF+tCW0KZa+bso1uE4PzOimsfWnnThx/CBKX +cU5+8mawkvnTx0/w8Vf955KYEt1DNUPGMycj5oxHUk1i1xFBezTIoFJiALAE +4fVwF9+fDW9K6Nq49/bqaV7fV6u3E8iWr3JexcWrjcYzkiga1lebvTvjrtDo +A5Kabd4eMYa9pulJJQxOX+3dewmv+cz0UTHDafST49y8F6y7oz1u4Ksl06ah +99an3ovPdVGYznTLRBZ/CBLXfhXxopoZ45mVEWPGI6um6cG3eDQoAddNgI1A +6hJ9PWMNLa608cy9qibT0obUgICdDzR735IH22nfksaPhjw6m5xWzlf12Eb5 +VWfOc7TPNAlvrHD3z+YYLFTpSCUJbp5aNThNqAnUEoXCxG2NnQNdbpD6g+9+ +Tm1Pj3ru5sW3cuIaSA5czBmPdkYMGo+4mqYHn0p8LXijQQk4NwG2QvJwh5+/ +4T3bfhs7TFqyade+1OQf1m09qbkrK+28e3530LNj3Dbk3qgToVS/AieavDM/ +2v2pUU+oGTXaO+Ef7SSWPNjht+hQs9EPOKhKJQ1ujtpBcKYwkVr8UBjv2ppZ +k91DYhMOH886WtAgprgHQjV3c+NbN3ENZAcuZoxnVkaMGY+4mhQGn0L8QeDc +BLAPlFe0+f3d+o+J6l7+Ww69aJiwfEv49ts9OAdV20ulHZBErXW12VGZKGJH +GbHNeGYNvtUFA4DNkTTnpaRdbh9cF6psnFRnzUMExWiS5vzUfRfbCB+9tbFU +mgFNqLWyNjsqE0XsKCMWGc/Mwbe6YAAYCjCkizuwr62QCytz46aOee71vfmV +Aot/EE4vGiru4CEmVoM2k2pdtVbXpsSOykQRO8qIJcYza/Bt4kYAAAAAAAAA +AAAAAAAAAAAAAAAAAABgSEH5ZYmrw/w9nGet3H9fNIJepDJiEwcYBFwHANQQ +N2Qd/kuAKpCG9KCpoSPop4EjNnGAQcB1AEARTN4nV63eRBVx/qvKabwR084Z +sYkDDAKuA9gBJrObi3bRvT2fpVHorDrsGPrE7cgVgI0YsdMNsBlIa+Gx36p7 +TR1cMIRTnL4+5JX3iq3QflRcf2JzZGjgjBec5q7KalL+Wh0VVJzOLumk844w +1Wufj8UtnObw9HjngLWZD3Vf74z1VGUfKuoi/KUhpaxJ4puJlRLXIGs7tXx2 +hH6PPBOJU8ReXGFHdWRIqhp9q7DUdQCgRdb++5cfp1NY7WCSxy2cm+tdHa3Q +GlvSdOKnCy2Isqfz2eUvumha1fTdT4n49hKXur/7/k5at/9GByLl3tr/zqSx +Pntq1e9kwcRNBaevdkj752BvU63QuMEetawJ45uLtRJXI+OcXhXg4KTzlk5T +iVMNbCeusKM6MiVV8/VGVmGf6wBgELTrfITfWsovIKbdGpvoa6Ui9R6QpGbb +vEUHNN1xsO7CiHnRyuaclJC2X77Upp66ojsxLlPeLhao/r0lO9Ldxd2znxle +gVurDNuDUs2aKL75WClxtbyWU1tSziXMGewKZypxqirtxBV2VEfmpA6ENbIK +qVp6oazkOgDQQc75NXj6Cr0mnGhP1Yn48IDgbxK/jnhjlpOzX3T24Pv0aR+F +SKMpUMGt1I/CU2oGm6hh3X+ETg8r4BrOFvI4SnpuRnnMN+xkYJ2s6cYfmsSl +zTnxaTWCBjO7aZNgL66wozoyK5XQKmxyHQDo0lO23HXOj/X67se4FwKfd45V +LqdkrbkfODoszGlTX6WTHoVkgtbHEqMlGGE0Of92zo41Ie7PjHaOGmyaJq7+ +ztvzq0rjpReJKuVfeUVfLNpQTK0nNN2sTcVnInGkMSs+o1ZMu5s2FezFFXZU +RyalklmFRa4DAF14VxY4zT3WarA/rNvqRVi6zOllzXY62VFI2nTQd6zj0lIj +vxJHU4IJyza6TQzO61RPNKQuabbryjKc51BJ4qD86zvXZ9RQvW1MN2vy+Ewk +zq3LjM+sV65k6R4lZJyTn7wZbMCSmBLdQ6C9uMKO6sicVHKrsMh1AKCL8Hq4 +i+/PjQa7Brq27L29eprX99XqTQuyFbKcV3HxaqPxZCKONkDvrU+9F5/rUn9O +UrPN2yPGsAM2WRysrzZ7d8ZdIXWb08vaZPyhT/zuvYTXfGb6qJjhNPrJcW7e +C9bd6TX+qHnYiyvsqI6MSTVhFRa5DgB0QeoSfT1jDa2ptOXMvap+0tKG1ICA +nQ80++CSB9tp3/XGi4aJ2xo7B7rQIPUH3/18cEtEeGOFu382B+dJH3xVyKOz +yWnlfFWjbpRfdeY8x/RjTXSyNif+kCSuxuxu2iTYiyvsqI4MStWCZxUWuQ4A +9JA83OHnb3i7td+WDpOWbNq1LzX5h3VbT2ru0Eo7757fHfTsGLcNuTfqRCjV +r8CJhvGurZk12T0kNuHw8ayjBQ1i7QJQ8mCH36JDzXi/usCJI+/Mj3Z/atQT +akaN9k74h8o8ppq1ufFtnvggNjlK2Isr7KiOjEkdBMcqrHIdAOiB8oo2v79b +/7FP3ct5y6ERDROWbwnffrsHdy/DmqpsnzW9gEOWOEXsxRV2VEe2SVWwz3UA +YICkOS8l7XL74JJOZcukOmsehahEkzTnp+672Eb0yKx1Vdk6azoBhzZxitiJ +K+yojmySqmCp6wDAAAzp4g7snivkwsrcuKljnnt9b36lwOIfeNOIhoo7eAjR +3V/rqlJjs6zpBRz6xCnCelfYWuewlWpKLZOuAwAAAAAAAAAAAAAAAAAAAAAA +AAAAAAhB+WWJq8P8PZxnrdx/X2Tpu1HYHG2YweahhsKRw+bRhtoB7EDckHX4 +LwGqQBrSg6aGFvKGb7RhBpuHGgpHDptHG2oHsARM3idXrY1EFXH+q8pxXmY5 +XKINM9g81FA4ctg82lC7EQAms6frYdG9PZ+lUejfav/RqGBHtWPzUEPhyGHz +aA997QALQFoLj/1W3WvK/RjCKU5fH/LKe8UWdzhVvmn5WNzCaQ5Pj3cOWJv5 +UP1GZVRQcTq7pBPv9V50Qw38qacq+1BRF60fD4rrT2yODA2c8YLT3FVZTbo/ +izcnmhpZ26nlsyP027qZH00XBmqHM0RQONowUTg1+klB7QCWImv//cuP0yks +JDDJ4xbOzfWujlbovt33d9K6/Tc6ECn31v53Jo312VOr8WPf/ZSIby9xqbuH +MBQmbio4fbVD2j/7eptqhdQiSppO/HShpT+CvOPs8hddBvvpmBVNjYxzelWA +g5POuzEtiaYbmInaEQwRFI5OYCYKp/luo6SgdgALQbvOR/itpfxCYdrdt/GR +tl++1KZ2s+hOjMuUt4sFmr9h3YUR86KV/TYtCiVtyY50d3H37GeGV+DWKuPO +nrigUpF690RSs23eogPqjjtmRlN/9tSWlHMJcwZ7sVkSTVcrI7UjGiIoHGUY +KpwK46SUQO10kXfkrYkth5esM4uc82vw9BV6/TPRnqoT8eEBwd8kfh3xxiwn +Z7/o7MH349OeJqTRVPTcjPKYr9s8AOv+I3R6WAHXcJ6YEcpsYajgVupH4Sk1 +YpII1KJJm3Pi02oEDdbvYc1w7YyHCApHDQYLR5gU1E4HecvRxWHwJB/D9JQt +d53zY72+sTDuhcDnnWOVqyhZa+4Hjg4Lc9rUF8Ck00QmaH0sMVp5kURT/pVX +9MWiDcV6vZnF1d95e35VabywoR+KDMJocv7tnB1rQtyfGe0cNdgzzqxoSGNW +fEatmHYPayowWTv8IYLCUYKxwpElBbUbBM5NbIB3ZYHT3GOtBlbQbd0iLF3m +9LJ2B5hkmkibDvqOdVxaamQF4mgKlH995/qMGoPe0khd0mzXlWU4T3nSDkUK +STSFsrlN2Ua3icF5nRQj4kTj1mXGZ9Yrl3J0p4mMc/KTN4MNWBJTonsMYLh2 +CuMhgsKxuXDkSUHtdGo3f/r4CT7+eLUDhgzh9XAX358bDS7IdSvee3v1NK/v +q9XX2WRLODmv4uLVRmOfEkXD+mqzd2fcFRp9QFKzzdsjxrB/tVmhSCFOc4De +W596Lz7XZcY0GYh2917Caz4zfVTMcBr95Dg37wXr7vSaCkQVJmunQX+IoHCU +YKZwJpKC2g0C101sAKlL9PWMNXSksuIz96paQUsbUgMCdj7QbApLHmynfVsW +Pxry6GxyWjlf1cMb5VedOc/RPjkqvLHC3T+bg3NdTzsUbWGYuK2xc6CtDVJ/ +8N3PKW8vkAyawjY9rJmqHfEQQeEowdykU4OXFNRuEDg3sQLJwx1+/oZ3Mvsr +7jBpyaZd+1KTf1i39aTmdqW08+753UHPjnHbkHujToRS/QqcaPLO/Gj3p0Y9 +oWbUaO+Ef7TWljzY4bfoUDPe7y3ohqItDONdWzNrsntIbMLh41lHCxrE1BeF +BIM2gC0OcQzVjniIoHAUYaZwg+AkBbXTAc5N7ADlFW1+f7f+E5W6V8qWQy8a +JizfEr79dg+uP5kUNrTRKMGq2kHhqMOqwimgdgBbkTTnpaRdbh9cxqkqnlRn +Tf9QjCZpzk/dd7GN6IFU5oQNdTSqsKV2UDiasKVwCqgdwGowpIs7sOGrkAsr +c+Omjnnu9b35lQKLfztNLxoq7uAhRFf0TAob2mj0YEPtoHBmwIbCKaB2AAAA +AAAAAAAAAAAAAAAAAAAAAAAAgC1A+WWJq8P8PZxnrdx/X2TpG1KsGw1gFvAG +AAAMIW7IOvyXAFUgDelBU0Mt/c2fdaMBzALeAACAKTB5n1y1hBVVxPmvKsd5 +3SZz0QBmAW8AAGUwGewF2ATRvT2fpVHohcpENCqAMWyHvXsDAMwCaS089lt1 +r6kjC4ZwitPXh7zyXrHlLTixvtpjcQunOTw93jlgbeZD9YuUUUHF6eySTry3 +etGRih/cEsT1JzZHhgbOeMFp7qqsJoSSVGpxtJp7qrIPFXWZ8xNCWdup5bMj +9FvFmR9NFzAGRfRLMCK8AQC2Rtb++5cfp1NYRGGSxy2cm+tdHa3QHrrv76R1 ++290IFLurf3vTBrrs6dWMxf77qdEfHuJiztzKEolDm4mkqYTP11oQZTNms8u +f9FF03GGTCqdOP1DK24qOH21Q9p/WOttqhXSOmzIOKdXBTg46bzT0pJouoHB +GBQxLsFw9wYA2By063yE31rK7+ql3R4aH2n75Utt6uOC6E6My5S3iwWav2Hd +hRHzopWtLM2UShbcPFCpSL1dJanZNm/RAU3rHUKp9OJIW7Ij3V3cPfuZ4RW4 +tcq49ygx0pZTW1LOJcwZ7KFGI5q8I29NbDn+gIIxKGs2KgGpWgLsyRsAYHvk +nF+Dp6/Qa5uJ9lSdiA8PCP4m8euIN2Y5OftFZw++ep72IYg0moqem1Ee83Ub +BmDdf4RODyvgGsxqulLxg1uiFhXcSv0oPKVmsBcagVTaccxVJW3OiU+rETRY +v/c0GIOiWsISDF9vAMAQ0FO23HXOj/X6UxTjXgh83jlWueaTteZ+4OiwMKdN +ffFPegiSCVofS4zWiSTRlH/lFX2xaEOxXttjcfV33p5fVRos6uhKJQhurlo5 +/3bOjjUh7s+Mdo4a7H2GL5V+HBPgR0Mas+IzasW0e09rITn+gDEoqSUrwbD1 +BgAMAbwrC5zmHms1mAa6XVGEpcucXtbufpMcgqRNB33HOi4tNZoGxNEUKP/6 +zvUZNQb3pJG6pNmuK8sMnnClK5UguAVqFcpGN2Ub3SYG53ViZFLpxzEFTjRu +XWZ8Zr1yjUz3+CPjnPzkzWAl86ePn+Djr/rPJTEluodqMAYFteQlGLbeAIAh +QHg93MX350aDrQ1dt/feXj3N6/tq9R4D2fJYzqu4eLXReMYTRcP6arN3Z9wV +Gn1AUrPN2yPGsGc1PamEwc1Vq6H31qfei891YWRS6ccxhXG0u/cSXvOZ6aNi +htPoJ8e5eS9Yd6fXVCA9SNbGYAzTak2UYNh6AwCGAKQu0dcz1nD+KN0+c6+q +y7K0ITUgYOcDzYa45MF22re88aMhj84mp5XzVU2mUX7VmfMc7TNTwhsr3P2z +OQYLYTpSSYKboxYTtzV2DrS4QeoPvvv54H4LvlT6ccxRpcUWvafBGNTUqsEr +wbD1BgAMBZKHO/z8De8J97vdYdKSTbv2pSb/sG7rSc2tWmnn3fO7g54d47Yh +90adCKX6FTjR5J350e5PjXpCzajR3gn/aA8Skgc7/BYdajb6dQhVqaTBzVGL +8a6tmTXZPSQ24fDxrKMFDWLtgpZIKt045qgaxCbHHzCGabWD4JRgGHsDAIYC +lFe0+f3d+k+T6u4SWA69aJiwfEv49ts9OHPT9lLpBSSRyuwYWgUwhj5WUzsM +vAEAQ4OkOS8l7XL74LpT5fakOmvOHYrRJM35qfsuthE+2mtjqXQCmpDK3Bha +DzCGDlZUOxy8AQBDA4Z0cQc2uxVyYWVu3NQxz72+N79SYPHvxulFQ8UdPMTE +bobNpNILSCqVyTG0LmAMa6sdPt4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AGBEg/LLEleH+Xs4z1q5/75oBL0LbMQmDjAIuA4AqCFuyDr8lwBVIA3pQVND +R9Cv20ds4gCD4LkOE1advtis+44K43/BRdqY8fE2Wn2qAMB+wOR9ctXqTVQR +57+qHOdV0MOUEZs4wCD4rpO25H6VfEf3zRjG/2KMtPHQu7F4L28HAJNgMru5 +aBfd2/NZGoWu4sOOoU/cjlwB2AhD14kq/+fjI3rvOTT+FwNkzZnvRV+3Rjti +YFiAtBYe+62619TBBUM4xenrQ155r9jS1tv9iOtPbI4MDZzxgtPcVVlNyheu +oIKK09klnXgvxyTR1Fd7LG7hNIenxzsHrM18qNvaAOupyj5U1EX4Y3lqWRvr +tAKytlPLZ0do3sBpVuL4oVSYSpwiDLgCv5qmx4eSVBKrmIk5Hh5RrhPf/++3 +d+r18DX+Fz3kLdnhn12zwuEFGA7I2n//8uN0CmtsTPK4hXNzvasjzVYIeEia +Tvx0oaV/zsk7zi5/0UXTW63vfkrEt5e41I+qfX8nrdt/owORcm/tf2fSWJ89 +tep5jImbCk5f7ehfoaG9TbVCo4gUsybQaRkyzulVAQ5Oum+Hpp04YShTiVMN +zIQrCKtJOj4UpRIHNxMzPDziXMcrfDdIf6CN/0UHOSf3g6jLPLgCB/pBu85H ++K2l/A590tbbdL5WKlLvAUlqts1bdEDTGQ7rLoyYF63sL00JafvlS21qn4vu +xLhMebtYtR0gbcmOdHdx9+xnhlfgVqM7q5SzJtJpAdKWU1tSziXM0e9GSjNx +olCmEqcIM64gqqYSwvGhKpUsuHnQ9vAIdJ3obtzsxXodfI3/ZRC0/belH1/i +wqkJUCgXKr8GT1+h14Aa7ak6ER8eEPxN4tcRb8xycvaLzh5sCUP7KEQaTYEK +bqV+FJ6ic42Pdf8ROj2swMif5HGU9NyM8phv2MXHOlnj6DQ3a2lzTnxajaDB +qFM2/cQJQ1kMw65QYlRNgvGhXUrc4Jaopezhkeg6ycP/nTNLr6uv8b8Mfunj +vOUfXaDa7hcY5vSULXed82O9/izFuBcCn3eOVS6nZK25Hzg6LMxpU1+lkx6F +ZILWxxIjZxFGk/Nv5+xYE+L+zGjnqMEun+Lq77w9v6o0XvCTqFL+lVf0xaIN +xXxKxqaXNb5Os7JGGrPiM2rFCmmj8dSmmThZKEth0hUDf8WpJv740JVKENxc +tXQ8PBJdJ234ydctUvd5UeN/0X5j5/mPVuQ9ptyaEhje8K4scJp7rNXA+rrd +yoSly5xe1u54kxyFpE0Hfcc6Li018itxNCWYsGyj28Rg7VU+Upc023Ul3kOk +JHFQ/vWd6zNqqN7epps1nk4zsubWZcZn1iuXn3hTm1bi5KHIkHFOfvJmsAFL +Ykp0D9UMuwK/mvjjQ7uUpFaxqYdHoutkTQdfcXn/upDsXzSpcv/4+L9+a4dT +EzCA8Hq4i+/PhvvZurbsvb16mpf2GpxshSznVVy82mg86YmjDdB761Pvxec0 +l/KSmm3eHjF3RMbxieJgfbXZuzPuCqnvBdDNGk8n/azv3kt4zWemj4oZTqOf +HOfmvWDdHe2BiE7iJkJZCpOuIKwm/vjQk2rSKrb08Eh0nbQh1dd1RVkP2b8M +gHUXRn14sg1aUAFqkLpEX89YQ2sqbTlz7z9KW/ZbKSBg5wPNJrjkwXbad73x +omHitsbOgfZrSP3Bdz8f3LUQ3ljh7p/NwfEovirk0dnktHK+armF8qvOnOeY +fvyKetbEOs3JWous+dC/3QyWnXQTJwllKUy5grSa+ONDR6o5ViEJSNfDI9F1 +SO0eX+9Nuo/kGP+L+uuKVoVnG15UAiMZycMdfv6Gt4X7bekwacmmXftSk39Y +t/Wk5vastPPu+d1Bz45x25B7o05E+eIbJxrGu7Zm1mT3kNiEw8ezjhY0iLUL +QMmDHX6LDjXj/eoCJ468Mz/a/alRT6gZNdo74R8qxxuqWRPrNCfrQXCmNr3E +SUNZDjOuIK0m0fhQlWquVQgD0vfwCHRd372vZwfntKFk/6JCcP3z948+Mu/H +VsAwBeUVbX5/t/46Rvdy3nJoRMOE5VvCt9/Gf6uJNVWxKmvFECZOETsaH9tL +pReQUalsc52g+MNXv9FL2PhflAjLYt7NoPzgJDBikDTnpaRdbh90hsqWSXXW +nC9Uokma81P3XWwjcqh1VbEma8VQJ04R+xkfW0ulE5BhqSxzHVKbFPqV3i+H +jf9FSe+t9e8caIBTE4ADhnRxBza4FXJhZW7c1DHPvb43v1Jg8f4vjWiouIOH +EG1fWFeVGjZkrWAicYrYw/jYWiq9gIxKZZ3rkLoDy3fd7yP9FyWiio1v/zTU +ay8AAABgBIJyr26Nv6j7GIfxv6gQVca/nfhwBL6RGQAAABhasJ57xzNv8VGy +fxlAXL1zacIDODUBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABQAOWX +Ja4O8/dwnrVy/32RbRtyDeV3sYThnfLwzk4xAhIEgCFC0nzxdBWNNg8KcUPW +4b8EqAJpSA+aGlrIs500/O/ChFWnLzYP218lDOXwDj3DOzvFCEgQAIYErOdO +8lc5LbTeJ4XJ++SqU5moIs5/FV4fSeuB/13Sltyvku/gvyjS7hnK4R16hnd2 +ihGQIAAMBdKmIx//TyVOey8qiO7t+SytbmiuXwy/S1T5Px8fGd5vDx7K4R16 +hnd2ihGQIADYEHHNznf++77Y9P9oDNZTlX2oqMuKrwBFeSWJazcmHzmc/PXa +pOs8vVeOGH+X+P5/v72zhlw60lp47LfqXoqXV1hf7bG4hdMcnh7vHLA28yHV +LuuWgAoqTmeXdOL0jqE2vPQSVIjrT2yODA2c8YLT3FVZTTZ/weUQZ6dG1nZq ++ewIK3eVwsfSBAEAwEdSuzvoPXN2xDFxU8Hpqx39ly1ob1Ot0BpTEO06/5HX +W6fa+2PJ206+6RVxoQsl/S5e4btBe2qJD7Cy9t+//Did+sK17++kdftvdCBS +7q3970wa60MW24r03U+J+PYSV28IqQ0v3QQlTSd+utDSn5S84+zyF10+NWoX +YAOGLjvNxzinVwU4OFm74yEh5icIAAAR6OMzi2avu0t7R0/akh3p7uLu2c8M +r8Ctxk2OzUDemuU/Ze6RgfaTsuZ03ymBvyrbNRN/l+hu3OzFeZ0Eq+r+U12E +31oaRyhp++VLbeqzkehOjMuUt4sFJHI78tbEllvl+Id1F0bMiy4RaBOhNry0 +E1SgUpFs4EskNdvmLTrQSLgjao/ZqYOf2pJyLmGOq4lzE/MJAgBAjPj+t95z +dhK9IR7tuXcqOfHQ8eyMPWv/a/mHcSU8yza5EE5hamTQq58dOZS4KTLYzTvi +l7K8A9til/q5vrqhiMcvXTp5kvZ0wL8W8vyUFWWk95ElD/93zqzvq/F39eSc +X4OnryjFPfqgPVUn4sMDgr9J/DrijVlOzn7R2fpdnxU9N6M85ht2sNaP33J0 +cZjpK05KY4h1/xE6PayAS2t4zU8QFdxK/Sg8hWw71E6zkzbnxKfVCBp+9jV5 +bmI6QQAASBDeWDZ1zk+4PR/R7iubFr5z4B/lpJfW75v1wutnHxu9YZ4uosov +XSeHnOlAFVhnXrCDU9Sf3ahC1pTm+9JbhQ2XgidM1p6NhKVLJ01YeIVPFk3a +8JOvWyTBc1A9Zctd5/xYT3B2wbgXAp93jlUudmWtuR84OizMaRvcecF4RV8s +2lDMJzvYUDm4UR5DcfV33p5fVdJaYJuZoJx/O2fHmhD3Z0Y7R+UbdbPRYJfZ +IY1Z8Rm1YoW00TrnJpsmCAAACYLi0Jd8/68J51Zuz6246e4xAzck5K3HXnUK +PNFGYdtcxjn5yZvBBiyJKVEf5vuqNk13Xqk6/whLP3zJY+vf/Wt37PFZ/yn/ +Pv6w5EPHiWGa6ybBtSUTTV03yZoOvuLy/nX8YxDvygKnucdaiTSrmj6n1Ku2 +8ISly5xeHrz5gvKv71yfUYP/JMRggvOnj5/g42+QoB7UxxCpS5rtupI8W+sl +qFD+QKxso9vEYMMNUXvOjluXGZ9ZrzqPEJ+bWJKgiWkCACMeYekHLr54tx16 +b0W9NCW8RHWiQDv+3wKnf2c8wjmD0YXk3JTV3HTUb7L2ftOjI3On+B/nkJ4O +pQ2pvq5E5y/h9XAX358J76joHtx6b6+e5qXeG8T6arN3Z9w1/UNk0wtvGmMo +qdnm7RFzh9Z9PzMTHFT3qffic10EedpfdnfvJbzmM9NHxQyn0U+Oc/NesO4O +4cMejCcIAAAJfZXrvV5JqjN+HI1bEDx+XOBx5bpV8vD/AqfM3ke0vULv+wzO +TVt0zk2tyOO8ZV6hyg2//mPBmbCZK/M7yTcRkdo9vt6bdG81y3k3T/1WwVee +0ZC6RF/PWMLjhfLgNnPvP8rM+09xAQE7Vb0vkUdnk9PKB7pjovyqM+c5hE/q +mT640RhD4Y0V7v7Z5GdiKySIidsaOxHV6QipP/ju55bs6bEvOy2y5kP/drN4 +T88WCQIAQA0553iQr+oEYYCs/cynM8ePnbp49Q97ts5z9NphhbbFGNJ2bV/Q +s+N8d/3ZwK0r+I/nM+P9915u7rqXG+38r5eisisESHdRwhcbU478sm9zTGJx +t6m53nfv69nBOW06JzB+caS7e2SRamtE8nCHnz/h4wz9BzeHSUs27dqXmvzD +uq0nlffS5Z350e5PjXpCzajR3gn/ED9EbvrgRn0MJQ92+C061EzhwtSiBDHe +tTWzJruHxCYcPp51tKBBTHxxaIfZ6UizyrnJFgkCAECRvqpvAiNvkM1iwfUI +F4/NrHwOVlD84avfECtDeUWb399N8HfdTSGbQz6GmLB8S/j22/Tfv8SSBId3 +dgqbJQgAAAm9f61fkkD0ELlC+TD1ale3tRVs3EpHapNCvyL/+aikOS8l7XI7 +zuJbdXDD2820AaRjKGnOT913sc3MHVMWJDi8s1PYNEEAAAjpu/+/4Qk1eCcn +rK+pNHer//inp39/hce+vXSk7sDyXfdNXs9hSBcXMVjTyoWVuXFTxzz3+t78 +SoFNMzM5hqi4g2coj+ZXMJfg8M5OMSQJAgBAgLyzYNNXf5h47IB1oNyrW+Mv +Et7LBwAAAOwclH/z8C936PRvYhqs597xzFt8OzufAgAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAIAZoPyyxNVh/h7Os1buvy+y2tP/NgoL2Brw +A2CXSJovnq6i9/MlMz4CDB3ihqzDfwlQBdKQHjQ11HT7VmbDArYG/ADYIVjP +neSvclrovPDLjI8AQwom75OrFg6iijj/VQSdf1kTFrA14AfA/pA2Hfn4fypp +varVjI/YBEwG120mEN3b81laneXtS4YmrIWAH0wyovwA2Dfimp3v/Pd9g/5M +4obTO75PTMv4eeeXUd+cNrw+wv2IKbC+2mNxC6c5PD3eOWBt5kP8fuYKpLXw +2G/VvaYOMRjCKU5fH/LKe8V8eipIkLWdWj47QtPTBxVUnM4u6STpuENJKrWs +6SCuP7E5MjRwxgtOc1dlNSGkUrGequxDRV3mvVIQ5ZUkrt2YfORw8tdrk67z +dN7+ZFFYbRDW+oHOCNPSaX0zqKFqXTb7AQAMkNTuDnrPYJ9Y3np8ke/Ge8oX +eGPdl972+f9u9pj6iEn6/k5at/9GByLl3tr/zqSxPntqjbsXyNp///LjdAqr +L0zyuIVzc72r4xtF1jo3yTinVwU4OOn2m+u7nxLx7SUu7pSjKJVK1rSQNJ34 +6UJLfxB5x9nlL7p8qm4AgicVEzcVnL7a0b+uQHubaoU0jxxo1/mPvN461d7/ +MXnbyTe9Ii50oVYIq4W1fqAxwjR1Wt0Mmq+nZl12+wEADEAfn1k0e91d/e05 +WXP63Cmv/lTbP9lkLb+89u/v9Nre4n7EFNL2y5fa1FNRdCfGZcrbxQJDKV3n +I/zWkvci1UHy4H9mTLHWuUnacmpLyrmEOa56vVCx7sKIedElAqP1LVWpFLKm +CSoVqfetJDXb5i060CglkCptyY50d3H37GeGV+BWup0f5a1Z/lPmHnmkWnz3 ++8F3SuCvyo7iFobVwl4/UB5hujqtb4aBsNSsy3I/AIAh4vvfes/Zadg5EO2+ +vN5nwkvv/ufAjvWbM//WfzQU/yM06LkZ5THfqJe2nPNr8PQVpbpTHO2pOhEf +HhD8TeLXEW/McnL2i84ebK1N+1hEHE3anBOfViNo+NlXf4L3z/A/QqeHFXAN +uwPRlEqStRlqVX8V3Er9KDylZnDNQCCVGIRTmBoZ9OpnRw4lbooMdvOO+KUs +78C22KV+rq9uKOLxS5dOnqQ9ePKvhTw/ZUWZje50s84Pqr9SHWFmzUDXusSw +xw8AoER4Y9nUOT81GE+SvqpdgdPHjXYIir/QIaP2EWpgvKIvFm0o5htOmp6y +5a5zfqzXD4txLwQ+7xyrXP/JWnM/cHRYmNOm3jUgPRbJBK2PJUbTEj8a0pgV +n1ErVkgbjSa4Qlz9nbfnV5UGq0G6Ukmypq22Hzn/ds6ONSHuz4x2jsrX9qfC +l0qGqPJL18khZzpQBdaZF+zgFPVnN6qQNaX5vvRWYcOl4AmTtUcfYenSSRMW +XrHevT0dWOcHBb0RZtIM9K1LBjv8AAADCIpDX/L9vyaD+6ZI8y8fv/NjdU/n +1Z1vTRo/+zu9DTzcj8g4Jz95M9iAJTElhvMP5V/fuT6jBuc2MO/KAqe5x1oN +9qtVnbVT6lVbIcLSZU4va/b/yY5F0qaDvmMdl5YabbPgROPWZcZn1isXoXgT +HKlLmu260nCBSFcqSdY01eq0l8eEZRvdJgbndWJkUsnoq9o03XngE8LSD1/y +2KrcusUen/Wf8u/jD0s+dJwYplknC64tmUh1nUzVCQOwzg+0R5g5M5hjXTLY +4AcA0CAs/cDFV7unrqavarPP3KQ65TzA+Fc/meoWXSEy8RFKYH212bsz7uL/ +YFd4PdzF92fDsLpTsvf26mle31erd1nI1slyXsXFq43Gs9842t17Ca/5zPRR +McNp9JPj3LwXrLujPUBJarZ5e8TcMbi3Rk8qadb01FbrPRvZe+tT78XnujAy +qWSQHIuympuO+k3W3l94dGTuFP/jHGvf52ahH+iPMGNmMMu6ZDDuBwDQoa9y +vdcrA6ehQZC65H/PWDOwDEP+2TvPL+EfxMRHKIA8OpucVj7QiRblV505z9EL +gdQl+nrGGs4l5ZScuVf19dKG1ICAnQ80G/eSB9tp3/smjqZQ3uE99G83g8Wn +8MYKd/9sw0lIR6qJrOmqxcRtjZ2I6siF1B989/PBHSd8qWQYHou26ByLWpHH +ecu8QpUbPAq040zYzJX5nVbuIcxSP9AdYQbNoIW6dclg2A8AoIecczzId8vf +Br9Vwnrvp3/xX2v++8f0A3u+2Xz4vt7vNvA/Yup7OvOj3Z8a9YSaUaO99c53 +SiQPd/j5G94f7p+SDpOWbNq1LzX5h3VbT2puKUs7757fHfTsGLcNuTfqRJQn +CUG0AXAmuOTBDr9Fh5qNfilCVSqFrOmpxXjX1sya7B4Sm3D4eNbRggaxtjBE +UonAkLZr+4KeHee7688Gbl3BfzyfGe+/93Jz173caOd/vRSVXSFAuosSvtiY +cuSXfZtjEou7rbtIZq0f6I8wY2YYhIZ1iWDYDwBgRF/VN4GRN6g+qGvuRyiB +8oo2v79b/zFU3a0My6EXDROWbwnffrsHZ//F9lLpBSSRar+wyg92ZAbFMPUD +MNLo/Wv9kgR6T4Sb8RGKSJrzUtIutw+uQVVT0owNRHzoRJM056fuu9hGeFvN +xlLpBDQl1X5hix/syAyK4ewHYGTRd/9/wxNqaJ1pzPgIZTCkizuw3a+QCytz +46aOee71vfmVAov3EOhFQ8UdPMTEstNmUukFpCLVfmGDH+zIDBTVAoA9IO8s +2PTVH7RubZrxEQAAAACgA8q/efiXO7SaMZnxEQAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAWAXKL0tcHebv4Txr5f77Iqv9SMBGYVn4pdZl +OJVj6LFumlALAGAOcUPW4b8EqAJpSA+aGlrIY3dYFn6pdRlO5Rh6rJsm1AIA +GAST98lVSzdRRZz/qnJr9d22UVgWfql1GU7lGHqsmybUArA9mAyunE0gurfn +s7Q6q78z0UZhWfil1mXYlIORqWfdNIdNLQALwfpqj8UtnObw9HjngLWZD/F7 +WSuQ1sJjv1X3mvI9hnCK09eHvPJeMa0mdDSEoYKK09klnSSNc6hJFdef2BwZ +GjjjBae5q7KarPRCa1nbqeWzIzSNfoilYj1V2YeKusx7TynKK0lcuzH5yOHk +r9cmXefpvHTRorCkkJjE1JdCOcwKOwgDUw+nHFYdPQvsRAoTUwOwGX1/J63b +f6MDkXJv7X9n0lifPbXGBwZZ++9ffpxOYcmBSR63cG6ud3Wk2SCVnrC++ykR +317i4vqMolRJ04mfLrT0B5R3nF3+osunf/Wa+AAVZJzTqwIcnHSb0OFJxcRN +Baevdkj7p1JvU62Q5nRBu85/5PXWqfb+j8nbTr7pFXGhC7VCWHIIa2HqS6Ec +FpaDkalHUA6rjZ7ZdiKHkakB2Axp++VLbWpniO7EuEx5u1hg8L/0lzzCb20Z +1WaHkgf/Q7t5N01hWHdhxLzoEoHRUpKyVFQqUu99SGq2zVt0oNHyZjzSllNb +Us4lzHHVa5BqJFXakh3p7uLu2c8Mr8Ct+i3zTCNvzfKfMvfII9X6Vdac7jsl +8FdlY3AaYeUdeWtiy+n0riSqhakvhXJYWA5mph5hOaw0eubayQSMTA1gaOi5 +GeUx37D7tULO+TV4+opS3YKhPVUn4sMDgr9J/DrijVlOzn7R2YNNrGlPENJo ++MKw7j9Cp4cVcA1OTnSlKlDBrdSPwlNqxBZLlTbnxKfVCBp+9tU/GBJJJQbh +FKZGBr362ZFDiZsig928I34pyzuwLXapn+urG4p4/NKlkydpT9P8ayHPT1lR +Ru/2rrzl6OIwgseVzKgFyRdBOShAUg6Gp55xOeiOnlXtxPDUAJgD4xV9sWhD +Md/Qdz1ly13n/Fiv7x6MeyHweedY5RJK1pr7gaPDwpw29aUy6QSRCVofS4yc +TRKNQJi4+jtvz68qDZZA9KTK+bdzdqwJcX9mtHNUfqfxdhQNqUhjVnxGrVgh +bTQ6GBJIJUNU+aXr5JAzHagC68wLdnCK+rMbVcia0nxfequw4VLwhMnaKScs +XTppwsIr9BbK5BOQfi0IgXJQgaQcTE49/HLQHj0r2kkJo1MDYAaUf33n+owa +nCcheFcWOM091mpwsFD1sE6pV12ZC0uXOb2svUdAMkGkTQd9xzouLTW6aCaO +RiAMqUua7brScFVEV6oSTFi20W1icF6n/hfQkcqty4zPrFeuB/EOhvhSyeir +2jTdeeATwtIPX/LY+nf/yhV7fNZ/yr+PPyz50HFimGZxKLi2ZCLVxaGMc/KT +N4OVzJ8+foKPv+o/l8SUGB4YaNeCECgHCVTKwfDUUxiXg/7oWc9OSpidGsDQ +g/XVZu/OuIvfyVB4PdzF92fDOwC6luu9vXqa1/fV6kt/ssWbnFdx8WqjsRmJ +ohEKk9Rs8/aIuSOyTOoAvbc+9V58rstwf5Cy1Lv3El7zmemjYobT6CfHuXkv +WHdHO8HxpZJBMgGzmpuO+k3Wbqo/OjJ3iv9xDr2buyYWh7RrQQiUgwok5WBy +6mnQLwf90bOenZQwOzWAoQZ5dDY5rZyveqQF5VedOc/Re1IPqUv09Yw1tKPS +cjP3/qP8P6UNqQEBOx9o9pElD7bTviGLH41EmPDGCnf/bEPnUZeKidsaOxHV +vEDqD777Oc4mEi2pamTNh/7tZrBQx5dKhuEE3KIzAVuRx3nLvEKVuxoKtONM +2MyV+Z2oyYh6UDg30aoFIVAOKpCUg6mpR1wO+qNnPTspYXZqAEOKvDM/2v2p +UU+oGTXaO+EfA5tIHu7w8ze8XdlvOYdJSzbt2pea/MO6rSc1dzilnXfP7w56 +dozbhtwbdSLKzsCJRipM8mCH36JDzUY/tqAqFeNdWzNrsntIbMLh41lHCxrE +1FdvBIkPgHMwJJJKBIa0XdsX9Ow4311/NnDrCv7j+cx4/72Xm7vu5UY7/+ul +qOwKAdJdlPDFxpQjv+zbHJNY3E37iVjT5yZatSABykEBsnIwM/WIy0F39PDj +m2snxqcGwDpQXtHm93frP3upe6luOfSiYcLyLeHbb/fgHMHsSCpbseZwQTks +hFUDaNboWVctABgiac5LSbvcPriAU1kuqc6aE4RiNElzfuq+i22ET53akVRW +Yt3hgnJYClsG0MzRs7KdAMAYDOniDuxBK+TCyty4qWOee31vfqXA4l9Z04uG +ijt4iImVmx1JZRnWHS41UA4LYcMAmjV6NrETAAAAAAAAAAAAAAAAAAAAAAAA +AADAcADllyWuDvP3cJ61cv99kaU3s60bzdZhARYCFgIAQKEQN2Qd/kuAKpCG +9KCpoZb+MM660WwdFmAhYCEAAPrB5H1y1SJSVBHnv6qc3kvvbRzN1mEBFgIW +AgBWgsmY2W4Q3dvzWRqFBqBMRLN1WAthqmR0sRedA4woCwEAEyCthcd+q+41 +dVzAEE5x+vqQV94rtrixphZZ26nlsyM0bzxDBRWns0s6cV7XhfVUZR8q6qLz +8z2sr/ZY3MJpDk+Pdw5Ym/lQ9w3MZkQbBOWVJK7dmHzkcPLXa5Ou83ReXGZR +WAqydWCiZOL6E5sjQwNnvOA0d1VWk/KH/sT1YlKnGqrWIpNlnxYCgGGBrP33 +Lz9Op7BOwySPWzg317s6WqHps+a7OadXBTg46b6Ns+9+SsS3l7h6kxMTNxWc +vtoh7Z/UvU21QmoTt+/vpHX7b3QgUu6t/e9MGuuzpxaxIJoWtOv8R15vnWrv +/5i87eSbXhEXulArhDUtWwdGSiZpOvHThRZE2bf67PIXXTRdePDqxahOzXdT +sxYpdmohABgO9M+TCL+1ZUYdxwig3fSZDGnLqS0p5xLm6Hd/w7oLI+ZFK/tk +av+37Eh3F3fPfmZ4BW6totZzU9p++VKb+lAiuhPjMkXdrNm8aFrkrVn+U7Q9 +YprTfacE/qrsGGBhWJOydWCoZKhUpN5xk9Rsm7fogKarkFG9GNapgqK1TASx +TwsBwHBAzvk1ePoKvWaYaE/VifjwgOBvEr+OeGOWk7NfdPZg4wHaBxDiaNLm +nPi0GkGDUWdSrPuP0OlhBVyqtx5IBavouRnlMd+w0wARCKcwNTLo1c+OHErc +FBns5h3xS1negW2xS/1cX91QxOOXLp08SXu+4F8LeZ5qb0364MtmsGSqvwpu +pX4UnlIz2H+OoF72ZK1hayEAsFd6ypa7zvmxXn/KYdwLgc87xyrXl7LW3A8c +HRbmtKn3F0gPIDJB62OJ0RkFPxrSmBWfUSvG7Zotrv7O2/OrSurrRhLByr/y +ir5YtKGYen9lUeWXrpNDlC3KsM68YAenqD+7UYWsKc33pbcKGy4FT5isPZQI +S5dOmrDwivXukehAJJuxkvUj59/O2bEmxP2Z0c5Rg/3m8OtlX9YalhYCAPuF +d2WB09xjrQY727otV4Sly5xe1txcIDuASJsO+o51XFpqtIeDE41blxmfWa9c +meIdQJC6pNmuK+ksJYkFK1D+9Z3rM2oIHinAhaTv8/GHJR86TgzTLHoF15ZM +pLrolXFOfvJmsAFLYkrwD3jEshkqWe/gXzFh2Ua3icF5nWpx+PWyM2sNPwsB +gD0jvB7u4vtzo8FWhe487b29eprX99XqLRyyxa2cV3HxaqPxDDaOdvdewms+ +M31UzHAa/eQ4N+8F6+5oj36Smm3eHjGGnajJIBKM9dVm7864K6Q3d0kOLFnN +TUf9JmtvFjw6MneK/3E6HaopQSqbmZJVi3X/3nvrU+/F57rUn8Ovl51Za5hZ +CADsHKQu0dcz1nCuKufpzL2qNsnShtSAgJ0PNJvvkgfbad+wJo6mwO2arRDe +WOHun01nuuJ/BfLobHJaOV/1DBTKrzpznkOtwZnhgWWLzoGlFXmct8wrVLlb +o0A7zoTNXJnfSbn9NTVMyGaqZJi4rbFzoIEPUn/w3c8H9/Tw62Vn1hpWFgIA ++0fycIefv+E93v556jBpyaZd+1KTf1i39aTmtrC08+753UHPjnHbkHujTkR5 +OhFEGwDnACJ5sMNv0aFmOr9EwfkKeWd+tPtTo55QM2q0d8I/lPpOI23X9gU9 +O853158N3LqC/3g+M95/7+Xmrnu50c7/eikqu0KAdBclfLEx5cgv+zbHJBZ3 +W3fFS0E2MyXDeNfWzJrsHhKbcPh41tGCBrH2QoKoXvZlreFjIQAYHqC8os3v +79Z/YFV3f8Ny6EXDhOVbwrff7qG1h2JdwWyHVSUjqRerdCpMWGtkWQgA7AJJ +c15K2uX2wQWuap4m1VnzAEIxmqQ5P3XfxTZqj+qa9xXDAraUzFS92KJTYVLq +iLMQANgFGNLFHbiXoJALK3Pjpo557vW9+ZUCi3cb6EVDxR08hO5DR9YVbDew +oWRU6sUGnaakjlALAQAAAAAAAAAAAAAAAAAAAAAAAAAAAKwG5Zclrg7z93Ce +tXL/fdFIfIcLjADAZsCfwIhE3JB1+C8BqkAa0oOmhhbymNYz9MAIAGwG/AmM +TDB5n1y1FBNVxPmvKh+BHQdgBAA2A/4E2AEmY+aiXXRvz2dpFBqtDl/YOQJM ++cEM7EiqPcJOfwLsBOurPRa3cJrD0+OdA9ZmPiRoBYC0Fh77rbrX1LzFEE5x ++vqQV94rtl5HGlnbqeWzIzQvRkMFFaezSzpx3omG9VRlHyrqIvztJKUUqI0G +HcT1JzZHhgbOeMFp7qqsJuWLB4hToATKK0lcuzH5yOHkr9cmXefpvH3O1AhQ +grV+wBdmejCZsK45RQd/AoAufX8nrdt/owORcm/tf2fSWJ89tcbvbZG1//7l +x+kUVjuY5HEL5+Z6V0drNddWNq05vSrAwUn3pZ1991Mivr3E1bM4Jm4qOH21 +Q9o/NXqbaoVG9qeYApXRoIWk6cRPF1r6g8g7zi5/0UXTFQgvBWqgXec/8nrr +VHv/R+VtJ9/0irjQNTD7TY0ARVjrB2JhZIPJiFQzig7+BAB9pO2XL7Wp/S26 +E+MyRdstWku/2yL81pYZdXYjgHZzbVJ5Lae2pJxLmKPfJA7rLoyYF61sUqr9 +37Ij3V3cPfuZ4RW4tcqwsSnVFCiMBk1QqUi9SSSp2TZv0QFNQyOjFCgib83y +n6Lt/tOc7jsl8FdlzwdTI0AV1vqBTBjhYDJkXdpFB3/qhujIWxNbTrVmwIig +52aUx3zDrgYKOefX4Okr9JqOoj1VJ+LDA4K/Sfw64o1ZTs5+0dmD/QloT3Di +aNLmnPi0GkGDUQNTrPuP0OlhBVyKM4duCirwR8OMLFR/FdxK/Sg8pWawRR9h +CginMDUy6NXPjhxK3BQZ7OYd8UtZ3oFtsUv9XF/dUMTjly6dPEl7ROJfC3me +atdU+rDOD4TCCAaTYamUiw7+1EXecnRxGDzJBwyC8Yq+WLSh2KjBc0/Zctc5 +P9brzwGMeyHweedY5bpK1pr7gaPDwpw29VU66QSXCVofS4zsjh8NacyKz6gV +4zbXFld/5+35VSXFqwO6KZCMBu0s+pHzb+fsWBPi/sxo56jBlnzEKYgqv3Sd +HKJsPod15gU7OEX92Y0qZE1pvi+9VdhwKXjCZO1sF5YunTRh4RXr3dvTTYdt +fiAThj+YTEqlU3Twpy5wbgL0QPnXd67PqMG5t8q7ssBp7rFWg/1h3X43wtJl +Ti9rdqrJJri06aDvWMelpUbX6zjRuHWZ8Zn1ypUd3rkJqUua7bqS6oKMbgok +o0Ezi97Bv2LCso1uE4PzOjFTKZB09D7+sORDx4lhmnWp4NqSiVTXpTLOyU/e +DDZgSUwJ/uGNdX4gLw3+YDIsVUG16OBPha4/508fP8HHn9yfwAgB66vN3p1x +V4jrAuH1cBffnxsN9g50fd57e/U0r++r1fsBZItPOa/i4tVG4yllHO3uvYTX +fGb6qJjhNPrJcW7eC9bd0U4lSc02b48Yw47fRNBLgXQ06GVRLdb9e++tT70X +n+vCTKVAMvezmpuO+k3W7uc/OjJ3iv9xOu3rKcFCP5goDf5gMilVA5Wigz/1 +5MN1E6AGeXQ2Oa2cr3qaBuVXnTnP0Xv2B6lL9PWMNfSo0ucz96p6VEsbUgMC +dj7QbF5LHmynfUOZOJoCt7m2Qnhjhbt/NlXT00nBxGjQzQITtzV2DjQOQuoP +vvv54J4JcQqGc3+LztxvRR7nLfMKVW6oKNCOM2EzV+Z3Uu5hTg3W+oFEGP5g +MiWVbtHBn7rAuQlQIe/Mj3Z/atQTakaN9k74x8Dskoc7/PwNb7r2+9xh0pJN +u/alJv+wbutJzW1Vaefd87uDnh3jtiH3Rp2IsikJog2Ac26SPNjht+hQM+Vf +YFBNgcJo0MsC411bM2uye0hswuHjWUcLGsTaxSxRChjSdm1f0LPjfHf92cCt +K/iP5zPj/fdebu66lxvt/K+XorIrBEh3UcIXG1OO/LJvc0xicbd1L5pY6wdS +YUSDyYxU+kUHf+oA5yaAMiivaPP7u/Uf+9TdH7AcetEwYfmW8O23e2hsRNs+ +BXoBzUiBPdiRH1gllVGd9ALatT+BEYWkOS8l7XL74MJO5fOkOmtOcIrRJM35 +qfsutlF9dlbnczZNgU5Ac1NgD3bkB7ZIZVgnnYD2709gRIEhXdyBjWmFXFiZ +Gzd1zHOv782vFFi8p0QvGiru4CFmLudslgK9gJakwB7syA9skMqoTutLBQAA +AAAAAAAAAAAAAAAAAAAAAAAAAICRCMovS1wd5u/hPGvl/vsiuLkOsAvwJwCM +SMQNWYf/EqAKpCE9aGoo/JgSYBfgTwAYmWDyPrlqMSqqiPNfVW6jRh4AYB7g +zxEJJrObK2Q7kmqniO7t+SyNQufZocVe6m4vOu0XdvoTUKhea3wsbuE0h6fH +OweszXyI/959BdJaeOy36l5T8wRDOMXp60Neea/Y8p5C+MJQQcXp7JJOklfp +MSBVg6zt1PLZEZpX/1lJKrUC0UFcf2JzZGjgjBec5q7KakIoSSUF5ZUkrt2Y +fORw8tdrk67zdF5Gh/VUZR8q6rLs16OstahZIwn+NIW9+ROwDX1/J63bf6MD +kXJv7X9n0lifPbXG7zSRtf/+5cfpFJYWmORxC+fmeldHKzS2JhbWdz8l4ttL +XFw/MSJV892c06sCHJx0X0trBalUCkQLSdOJny60IMrm12eXv+iiaeJDJpUc +tOv8R15vnWrv/6i87eSbXhEXugZmPyZuKjh9tUPa/7/0NtUKzT0AsNaiZowk ++NMkdudPwDZI2y9falObSXQnxmWKtp+ylv7SRvitLTNqVUYA7cbW9IVh3YUR +86KVDTxZIVUtuOXUlpRzCXP02yBaLJVCgWiCSkXqfSJJzbZ5iw5o+gYRSjWB +vDXLf4q2ZU9zuu+UwF+VrRWkLdmR7i7unv3M8ArcWkXSpFjekbcmtpxgLFhr +UfojCf6kAAv9CTBNz80oj/mGb+pXyDm/Bk9foddFE+2pOhEfHhD8TeLXEW/M +cnL2i84ebGtBe0KRRsMXhnX/ETo9rIBrYFMGpUqbc+LTagQNRi16rSQVfxzM +Vav6q+BW6kfhKTWD7eUIpCoUCKcwNTLo1c+OHErcFBns5h3xS1negW2xS/1c +X91QxOOXLp08SXtE4l8LeZ5qq1MtlNsisNKilEcS/ElRreqvLPInwCwYr+iL +RRuKjVog95Qtd53zY72+4TDuhcDnnWOVixhZa+4Hjg4Lc9rUl8SkE0omaH0s +MfIWSTQCYeLq77w9v6o0WOowJhVpzIrPqBXjto+3jlSCcTBLbT9y/u2cHWtC +3J8Z7Rw12E4OX6oSUeWXrpNDlB3jsM68YAenqD+7UYWsKc33pbcKGy4FT5is +ne3C0qWTJiy8Qm+tT/HcxEaL0hlJ8CcltQrW+RNgEpR/fef6jBqcG5m8Kwuc +5h5rNdiM1e0FIyxd5vSyZluYbEJJmw76jnVcWmq0UUAcjUAYUpc023Wl4eqH +Iancusz4zHrlig9v7ltHKkmBaKrtHfwrJizb6DYxOK8TI5OqhKQN9/GHJR86 +TgzTrEsF15ZMpLoulXFOfvJmsJL508dP8PFX/eeSmBL8wxtrLaqgOpLgTwpq +WelPHQj9CdgCrK82e3fGXSHukAuvh7v4/txocKGua6re26uneX1frb74Jlvs +yXkVF682GvuXKBqhMEnNNm+PGMMu1sxIvXsv4TWfmT4qZjiNfnKcm/eCdXe0 +U8waUkkLRE9ttVj37723PvVefK4LI5OqhGTuZzU3HfWbrN3Pf3Rk7hT/43it +vEkwfd3EWotqoDKS4E/TalnpT4AhkEdnk9PK+apHV1B+1ZnzHL0HbZC6RF/P +WENDKE01c6+qIbS0ITUgYOcDzU6x5MF22jdw8aORCBPeWOHun23oMOakqsFp +H28FqSYKRFctJm5r7Bzoz4PUH3z388E9E3ypSgzn/hadud+KPM5b5hWq3FBR +oB1nwmauzO+k3NJ8AFPnJpZalO5Igj+pqGWhPwEmkHfmR7s/NeoJNaNGeyf8 +Y+AsycMdfv6Gdzj7TeUwacmmXftSk39Yt/Wk5h6mtPPu+d1Bz45x25B7o05E +2QE40UiFSR7s8Ft0qNno5w7MSB0EZ+5bKpVCgeipxXjX1sya7B4Sm3D4eNbR +ggaxdjFLJBVD2q7tC3p2nO+uPxu4dQX/8XxmvP/ey81d93Kjnf/1UlR2hQDp +Lkr4YmPKkV/2bY5JLO6mvSglPTex1qL0RxL8aVotG/0JsBWUV7T5/d36z1jq +XoxbDr1omLB8S/j22z04OwggVR8aAUmksh9W1R38SZmR4k/Adkia81LSLrcP +rqJUpkqqs+aEohhN0pyfuu9iG+GDqiBVB8oBTUllP2ypO/iTBiPIn4DtwJAu +7sAusEIurMyNmzrmudf35lcKLL5AphcNFXfwEBNrJ5BKNyAVqeyHDXUHf9pC +7fDwJwAAAAAAAAAAAAAAAAAAAAAAAAAAAA1Qflni6jB/D+dZK/ffF43QO6Yw +CADLAYsCIwxxQ9bhvwSoAmlID5oaSuVt1sMQGASA5YBFgZEGJu+TqxZhooo4 +/1XlI/Pt9zAIAMsBiwIsAJMxcMUuurfnszQKHUWHNewcBEb8YB52JNVOYadF +ARaC9dUei1s4zeHp8c4BazMf4r/kXoG0Fh77rbrX1LzFEE5x+vqQV94rtkKD +FHH9ic2RoYEzXnCauyqrSfnbcVRQcTq7pNPojVr9X9xTlX2oqIvwF3yU9FMb +CjOQtZ1aPjtC8x4z4iwogfJKEtduTD5yOPnrtUnXeTpvWjM1CJRgrR/whZke +TLZbl5ZOsCgwYuj7O2nd/hsdiJR7a/87k8b67Kk1foGIrP33Lz9Op7DUwSSP +Wzg317s6WqGRtKTpxE8XWhBlw+6zy1900TR26bufEvHtJa6euTFxU8Hpqx3S +/knR21QrNDI+Rf1UhsIcZJzTqwIcnHTfsYmXBTXQrvMfeb11qr3/o/K2k296 +RVzoGpj6pgaBIqz1A7EwssFku3Vp6gSLAiMGafvlS21qf4vuxLhM0TYv1tJv +tQi/tWVGfcEIoN1ImgBUKlJvr0hqts1bdEDTSwbrLoyYF61slalG2pId6e7i +7tnPDK/ArVWGbTGp6qcwFOYgbTm1JeVcwhz9nm5GWVBE3prlP0XbjKY53XdK +4K/KpgGmBkE3REfemthyguFgrR/IhBEOJtutS1fnSLEoAOjTczPKY77ha/EV +cs6vwdNX6LWsRHuqTsSHBwR/k/h1xBuznJz9orMH38VPe4KTRlOgglupH4Wn +1Ay2HMO6/widHlbApThn6OpXgT8UZqQgbc6JT6sRNBj1GyXMAuEUpkYGvfrZ +kUOJmyKD3bwjfinLO7Atdqmf66sbinj80qWTJ2mPSPxrIc9TbeKphWIDdJb6 +AVcYwWDai3XBogBAAsYr+mLRhmKjfsM9Zctd5/xYrz8HMO6FwOedY5WLKllr +7geODgtz2tSX6KQTXCZofSwx8jphNDn/ds6ONSHuz4x2jhpsMSau/s7b86tK +iusuuvpJhoJ2CkhjVnxGrRi3FzZxFqLKL10nhyh7oWGdecEOTlF/dqMKWVOa +70tvFTZcCp4wWTvVhaVLJ01YeIXeQp/iuYmNfiAUhj+Y9mJdsCgAEILyr+9c +n1GDc2+Vd2WB09xjrQabw7qNV4Sly5xe1myqk01wadNB37GOS0uN9i6IoynB +hGUb3SYG53WqxSF1SbNdV1JditHVTzIUNFPg1mXGZ9YrF6d4E584C5IG08cf +lnzoODFMsygVXFsykeqiVMY5+cmbwUrmTx8/wcdf9Z9LYkrwD2+s9QO+MPzB +tBfrgkUHGLSoDoQWBUYCWF9t9u6Mu0JcCwivh7v4/txosHeg6/Pe26uneX1f +rd66IFt8ynkVF682Gk8p4mgD9N761HvxuS715yQ127w9Ygz7RRNBTz/pUNBL +4e69hNd8ZvqomOE0+slxbt4L1t3RHriIsyCZ+FnNTUf9Jms38x8dmTvF/zhe +k2oSTF83sdYPhMLwB9NerAsWBQA8kEdnk9PK+apHaVB+1ZnzHL1nf5C6RF/P +WEODKn0+c6+q+7K0ITUgYOcDzW645MF22jeU8aJh4rbGzoGeLUj9wXc/H9wY +Ed5Y4e6fTdXudPSbGAq6KWjB6YVNkoXhxN+iM/Fbkcd5y7xClbspCrTjTNjM +lfmdlPt1D2Dq3MRSP5AKwx9Me7EuWBQAjJB35ke7PzXqCTWjRnsn/GNgdsnD +HX7+hjdd+33uMGnJpl37UpN/WLf1pOY+rbTz7vndQc+OcduQe6NORNmRONEw +3rU1sya7h8QmHD6edbSgQaxdBkoe7PBbdKiZ8m8vqOqnMBT0UhgEZ+ITZYEh +bdf2BT07znfXnw3cuoL/eD4z3n/v5eaue7nRzv96KSq7QoB0FyV8sTHlyC/7 +NsckFnfTXpGSnptY6wdSYUSDaS/WBYsCgDmgvKLN7+/Wf+ZTd3/AcmhEw4Tl +W8K33+6hsQVte/20A5qRBXtglR8UpIPJKqmM6qQd0K4tCowcJM15KWmX2wcX +diqfJ9VZc4JTiSZpzk/dd7GN6oOzOp+zqX6aAc3Ngj2wxQ8K04PJFqkM66QZ +0P4tCowcMKSLO7CHrpALK3Pjpo557vW9+ZUCiy/YaURDxR08xMyFnM300w5o +SRbsgQ1+UFAbTDZIZVQn7YDDw6IAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYH1Q +flni6jB/D+dZK/ffF8HNdYB1gEUBYOQhbsg6/JcAVSAN6UFTQ6m8+xwAhhSw +KACMQDB5n1y1EhVVxPmvKodGCQDbAIuOMDCZ3Vwb25FU+0V0b89naRSazw4t +9lJ6e9Fp17DToiMcrK/2WNzCaQ5Pj3cOWJv5EP+9+wqktfDYb9W9/z97Zx7U +xPnG8Z9/daq1XkU5mloQRAVBpY5ogFRtKwrTg5bxCp2h9SgCHvVq0R6j43gg +V4vVARUPREWdWhlRrKJyiKAVRawoBQxCACGEhCPZHJsfgSSEZHfZJRuykefz +FzOaJ9/3fb7vm3ff3X2fvgYJivDzkjf4f/B5nukFW7CFKUXFF9LyGwlO07OA +VC3yuvNLpnO1h5LRJJVcggZALSFKYX5M+Oa4lKNxm8Jj7wj1zqNDW0vTDuc0 +mfYCKWNdqpJUntkaEuA75V3WzBWpPPWhC2DRQWlRgG46/o1dd+BuAyIT3D/w +qe0Iz33lxmeayOv/Wv91MolFBSp9VcO/t8HZjobC1vjCOp7Ec3+8LsB0kkWk +ar+bf2GFjw1L/8BMGqSSSdAAqCVG2XRlufvC8/WdH1XUnVvgzr3a1D30UQkv +68LtBlnnf2njlYv7O/oZ61Ip78zvV2sQdaX7S0vec9KWWAKLWkAtMea2KEA3 +svqb1+s0Tmp/GOHkoCumrKMzqVzv8EKjUmU4UC5sTV0Y2pzNnRWmLuDJCKka +wTXnt8Vfjp7Ru0CbyVJJJGgA1PaBojaV7aAr2VOd7OXge1pdWkFWkxbi6uTq +1skUd9/tpQSlihUNGasji3C6g7EuVSll7ZodN2nZjlnzD2qLMIFFB1ptH5jb +ooBZab0XOnm24Un9KgX/NGfS0l5VNJWtpWeignw4P8Rs4n4yjeXoHZbWc+A+ +5dFEGA1bGNr8d8CkwCyBgUEtKFVWfTYqqUxUZVQ8lCap2P0wUGpVKoSfnRji +N2dlyuGYLSEcFw/uscKMgzsig72d52zMEbYUBNvb6makllz/sWRLneogWSme +oS5Viu4nLg+KL+spKwgWHVi1TLIoQDOoMGfN/I15RvWPWwuXOM/4rbK321DB +Vd+xjpHq5Yu8Nv1LO5t5Z+s0F8OEo0kuqn0lNXIVQTQcYZKnP3m4fV9isMix +mFTkRWrUkXIJZmFreqTi9MMAqVXTXrLe2d5fXTEObczg2LBCbzQrVXJektf4 +hdlV1zlj7HVDXVwQbDtm3i1qa32SA5+JLlW0PDi7a7W/6/ChjqE9ZQTBogOq +Vg0zLArQjLLlzu4NR8ow7mIKb81lzTxZa7ANq18LRlywmPW+dqedaDTJeIe8 +RtgFFxhdFuNHwxGGVMROd15muO6xkFRBxfGo45Xq5R7WUKJHKkGCBkCtGoIy +3Kee539lNy5QuygV5S4aR3ZRKuef+2YBR83sSaPGeLK7/lwUkY89vTHWpSp1 +vaPCzS7jOBmNGnFg0QFVq4YJFgXoBe0oT9t75JEYs7PFd4KcvP54YXCVru+o +tgerJrr//FSzn0G00lMIi6/dfmFsXrxouMKkZTs8JkcYVrG2jNRHj6M/9Jzq +2cUU1tA3Rrp4zF33UDdr0SGVMEEDoFYNwcBPread8LbXbea/TJnpwD6FVcqb +gL4XpYx1qZa2+996fHy5SfM5sOiAqlVjcYsCNIO8vBSXVNTS9dCKsqX04hV+ +r6dskIoYL7dIQyuoHTV1f1dBaFlVoo/P7mfafWfps52U795iRyMQJr671JWd +Zugty0nVgFHYmgapfSRoANSqMRz42/QGfi3yKmOxe4B6N0WlbLgYOHVZZiPp +qubd9DXwGepSVFL3orG70hFSeeiz73r29MCiA6pWjYUtCtCLojEzzPXNIf/T +MGSoR/R/BraSPt/lzTa8vdnpKBvbRVv2JCTG/bpu+zntHVFZ46Mre/1GD3PZ +mH63op107jGiEQqTPtvlPf9wtdGLDpaR2gPGUDJVKokEDYBaFKnLTfAbPdJr +z40qQUXWL27DR7H336xuepwe5vj2+NC0YhHSnBO9ZnN8yrGErRExec2Un8Ql +HPiMdSkqzF09zd7VPzL66KnUE1lVEt1lAVh0gNVa2KKARVAKc7Z+sbf305X6 +V+KmQy0aKi7aFrTzQSvG9gFI7Q1tapkPo1IPFiXNILIoYA6k1RnxSTfre5ZQ +XY6KraBzNJGMJq3OTEy4Vof7lCpI1YNOtcyHKakHi1JgcFkUMAco0iTo3lhX +KcQl6WsnDHvno/2ZJSKT36OmFk0paRAifayaQKqZ1DIfJqQeLGpBtQAAAAAA +AAAAAAAAAAAAAAAAAAAAAABgRpQthTGrAtmTHactO/CkHe5hA0wEXAoAgwxJ +VerRf0RKFVKV7DchAN5ZBJgIuBQABhuookPRtQxtL17LXlFErR4BAAwI4NJB +BiqHa2NAQ/vjfSuTSJR5HVjAooA+zHTpIAftKD+5dt5Em7dGOfqEH3+OfcK9 +CqnNPvnn07a+xjOK8POSN/h/8HkeDZU6JZVntoYE+E55lzVzRSpP/eK4UlR8 +IS2/0egsLYo6yTX5NZWqQV53fsl0rvaksr7VEqIU5seEb45LORq3KTz2jlDv +5De0tTTtcE6Tae9pMteiGqh2JriUJNbkUoBuOv6NXXfgbgMiE9w/8KntCM99 +5canh8jr/1r/dTKJRQUqfVXDv7fB2Y6GKtJS3pnfr9Yg6lLIl5a856QtE9Px +JJ7743UBpo1I6iTT5NdVqvbr+RdW+Niw9E/RJFJLjLLpynL3hefrOz+qqDu3 +wJ17tal73KMSXtaF2w2yzv/SxisX93foM9ai2u+m1pngUrJYlUsBupHV37xe +p3FS+8MIJwdd2WIdnUnleocXGhUFw4FyFWkclLJ2zbaLtGzHrPkHtYVk0OZs +7qwwdZ3Mfuok0eTXV2p32Jrz2+IvR8/oXbUNV20fKGpT2Q66yjjVyV4OvqfV +FQxkNWkhrk6ubp1McffdXopRqFQXoiFjdWQRTncw16Ld8qh1JriULNblUsCs +tN4LnTzb8Ex8lYJ/mjNpaa96lcrW0jNRQT6cH2I2cT+ZxnL0DkvrOdqe8sAn +jNZ5HX8/cXlQfFlPFTe0+e+ASYFZAgN3UtVJ0OTXW6qs+mxUUpmoyqiiKI5a +lQrhZyeG+M1ZmXI4ZksIx8WDe6ww4+COyGBv5zkbc4QtBcH2trrpqCXXfyzZ +iqI6SFcfYJxFqXYmuJSkVGt2KUAzqDBnzfyNeUaVhlsLlzjP+K2yt9tQwVXf +sY6R6uWLvDb9SzubeWfrNBfDhANfLqp9JTVyFW40RcuDs7tW+7sOH+oY2lO1 +TfL0Jw+370sMVjhUdRI0+XWWirxIjTpSLsGsdo2tVk17yXpne391YTa0MYNj +wwq90axUyXlJXuMXZldd54yx141zcUGw7Zh5t6hdk5Ac9YyzKPXOBJeSkmrN +LgVoRtlyZ/eGI2UYdzGFt+ayZp6sNdiG1a+6Ii5YzHpfu31NNPBlvENeI+yC +C4wui/GjqUHFhZtdxnEyGjXikIrY6c7LDBc9VHUSNPn1lSqoOB51vFK9MsUa +9dhq1RBUuz71PP8ru3GB2hWpKHfROLIrUjn/3DcLOGpmTxo1xpPd9eeiiHzs +uY1xFu1PZ4JLSUi1ZpcC9IJ2lKftPfJIjNnZ4jtBTl5/vDC4Std3VNuDVRPd +f36q2SQgWpQqhMXXbr8wNi9+tG7a7n/r8fHlJs3npGU7PCZHGBaLpqaTsMmv +rdRHj6M/9Jzq2cUU1tA3Rrp4zF33UDdrYatVQzDqU6t5J7ztdTv5L1NmOrBP +YVXMJqDvFSkDLdqvzgSX9i3Vel0K0Azy8lJcUlFL10MrypbSi1f4vZ6yQSpi +vNwiDa2gdtTU/V2ll2VViT4+u59p952lz3ZSvtGMFQ2V1L1o7K7WglQe+uy7 +ni0I8d2lruw0Q2NR0dlHk19jqTowql3jqFVjOOq36Y36WuRVxmL3APVWikrZ +cDFw6rLMRtL1w7vpa9Qz1KI6yHcmuJSMVB1W5VKAXhSNmWGubw75n4YhQz2i +/zOwlfT5Lm+24e3NTkfZ2C7asichMe7XddvPae+IyhofXdnrN3qYy8b0uxXt +pHOPEQ0V5q6eZu/qHxl99FTqiawqiW7BJX22y3v+4WqjtxzI6iTR5NdWag8Y +ox5PLYrU5Sb4jR7ptedGlaAi6xe34aPY+29WNz1OD3N8e3xoWrEIac6JXrM5 +PuVYwtaImLxmyo/hEo56xlq0BwqdCS7tW2oP1uNSwCIohTlbv9jb++lK/Stx +06EQDRUXbQva+aAVY+/A/DqpBbQiqSpCtcyHURZVWVXqrUiqyspdCpgDaXVG +fNLN+p4lVJejYivoHPhkokmrMxMTrtXhPqJqZp1UAlqRVFXfapkPUyyqsqrU +W5FU1evgUsAcoEiToHu3WqUQl6SvnTDsnY/2Z5aITH6PmkI0paRBiPSxZDKb +ztdWKkm1zIcJFlVZVeqtSCpJtQAAAAAAAAAAAAAAAAAAAAAAAAAAANaBsqUw +ZlUge7LjtGUHnrSbeiuU3mjmDstAIB1MAzICAJZAUpV69B+RUoVUJftNCDD1 +1Td6o5k7LAOBdDANyAgAWARU0aHoWma1F69lryiidqy9maOZOywDgXQwDcgI +AHSByi1zQd7+eN/KJBKFTS0RzdxhCYB0DHxYZgIZAV47kNrsk38+betrjkMR +fl7yBv8PPs8zvWAo2lF+cu28iTZvjXL0CT/+XHM6sVJUfCEtv9HoqKzO/99a +mnY4p4nS636SyjNbQwJ8p7zLmrkilaf/3nl/oulQCvNjwjfHpRyN2xQee0eo +dyCbSWF7sEA6tMjrzi+ZztUeXwbpUEMqHdh+pgHICDBokdf/tf7rZBIrGVT6 +qoZ/b4OzHQ3FrDv+jV134G4DIhPcP/Cp7QjPfeXakdHxJJ7743VBL/uiEl7W +hdsNsk7bt/HKxeSsLeWd+f1qDaKupHxpyXtOPVVm+hVNh7LpynL3hefrOz+m +qDu3wJ17tUlJQ1gdFkmH9rv5F1b42LD0j9aEdJBKB76fTQMyAgxaOp3E9Q4v +NCr4hQPlYtbYyOpvXq/TjN72hxFODrpayeqSy9ncWWHqMpja/1yTFuLq5OrW +yRR33+2lGPUusVDK2jW7XdKyHbPmH9TUoelnNC2K2lS2g64KTHWyl4PvafVp +/RTCKhoyVkcWYfe4ZdLRjazm/Lb4y9Ezepdyg3SQSAeRn01gkGYEADpR8E9z +Ji3tVYtS2Vp6JirIh/NDzCbuJ9NYjt5haT3H1lOeDAmjddF6L3TybP2D+NHm +vwMmBWYJyG6LEH+FUnQ/cXlQfJmEIEIvEH52YojfnJUph2O2hHBcPLjHCjMO +7ogM9naeszFH2FIQbG+rm3lacv3Hkq2eqYPgpH0LpkNWfTYqqUxUZVRmFNJB +Oh1dGPmZGMgIAGDRWrjEecZvlb0HEiq46jvWMVK9MpPXpn9pZzPvbJ3mCpxw +MpSLal9JjQYMQTT1vwpz1szfmNervLHk6U8ebt+XkF9Z4X6FouXB2V2r/V2H +D3UM7amk1hftJeud7f3VRcjQxgyODSv0RrNSJecleY1fmF11nTPGXjfYxAXB +tmPm3aJ23UIwGVosHciL1Kgj5RLMEtiQDnKt6/5XDD/rgIwAAFmEt+ayZp6s +NTClfkUVccFi1vu6vWiCyVDGO+Q1wi64wGgDBD+aStlyZ/eGI2UGd46Ritjp +zsuoLLYIvkKlLvlSuNllHCejkeRCk6Cy86nn+V/ZjQvULgtFuYvGkV0Wyvnn +vlnAUTN70qgxnuyuPxdF5OtPYxZKh6DieNTxSvVSGmsmhHSQbh22nzVARojp +yYgeBhkBBg/iO0FOXn+8MNiA0Hdy24NVE91/fqq54idaqCuExdduvzAel3jR +0I7ytL1HHomNPiAt2+ExOcKwFjQR+IK7abv/rcfHl5tMH3qp1bwT3va67fSX +KTMd2KewqkMTQLBQt0w6Hj2O/tBzqmcXU1hD3xjp4jF33UPd3AXpINc6XD/r +vgkyAgBkQSpivNwiDV2udvLU/V1llWVViT4+u59pt6elz3ZSvvmOHQ15eSku +qail6xEeZUvpxSt83ZNN4rtLXdlpVAyN9RWopO5FY3exF6Ty0Gffkd+yMBx6 +2/SGXi3yKmOxe4B6P0OlbLgYOHVZZiPpst7dEEyGlkuHBowS2JAOUukg8HNf +QEYAwBjp813ebMM7t51OtrFdtGVPQmLcr+u2n9PeOJU1Prqy12/0MJeN6Xcr +2kkbDiOaojEzzPXNIf/TMGSoR/R/uqEsfbbLe/7haox3OKh8BSrMXT3N3tU/ +MvroqdQTWVUSkmtCFKnLTfAbPdJrz40qQUXWL27DR7H336xuepwe5vj2+NC0 +YhHSnBO9ZnN8yrGErRExec2U14QEk6GF0tEDxkwI6eg7HYR+7hPICABgoBTm +bP1ib+9HOvV3AEyHWjRUXLQtaOeDVkqbzPQKtiSQDkZh/nRQDjjIMwIMKqTV +GfFJN+t7VoddTo6toHMyJBlNWp2ZmHCtjuwDuP35CsYD6WAUZk4HxYCQEWCQ +gSJNgu6tZ5VCXJK+dsKwdz7an1kiMvl6nFo0paRBiFB9LIdewYwA0sEozJYO +ygEhIwAAAAAAAAAAAAAAAAAAAAAAAAAAAMDrg7KlMGZVIHuy47RlB56003aM +i5nCDiro7UNINAAA1oOkKvXoPyKlCqlK9psQgPOqKGPCDiro7UNINAAAVgSq +6FB0LXbbi9eyVxTRVXTATGEHFfT2ISQaAMwJKreaXQMrktpJ++N9K5NIVMVl +RlgTGcypGVSJBgBM0I7yk2vnTbR5a5SjT/jx59gH/KuQ2uyTfz5t62uyQBF+ +XvIG/w8+zzO9Zgu2MKWo+EJafiPBaWIWkKpFXnd+yXSu9vSzvqViIak8szUk +wHfKu6yZK1J5+q/yo62laYdzmvr3+qRSmB8Tvjku5WjcpvDYO0K98/dMCqsL +wlQXaaEhNQRt7E8fWmeiAWCg6Pg3dt2Buw2ITHD/wKe2Izz3lRufbCKv/2v9 +18kklluo9FUN/94GZzsaCoXjC+t4Es/98boAc4xZRKr2u/kXVvjYsPRP5iSS +iomUd+b3qzWIulb4pSXvOfXU2UElvKwLtxtknZNPG69cTHGCUTZdWe6+8Hx9 +58cUdecWuHOvNilpCKuDsS7SfjcNqcFtY7/60EoTDQADhaz+5vU6zRhrfxjh +5KCrp6yj0+5c7/BCo5poOFAuFE5dGNqczZ0Vpi7jyQipGsE157fFX46e0bsS +HK5UHJSyds1OlrRsx6z5BzXVg2Q1aSGuTq5unUxx991eSr7maReK2lS2g66q +TnWyl4PvaXWNBQphFQ0ZqyOLcHqWsS7SyKMjNXht7GdqGJtoAGAerfdCJ882 +LAmgUvBPcyYt7VWuU9laeiYqyIfzQ8wm7ifTWI7eYWk9J/tTnlUIo2ELQ5v/ +DpgUmCUwmFYsKFVWfTYqqUxUZVSlFEdqH61Wiu4nLg+KL5OoSILwsxND/Oas +TDkcsyWE4+LBPVaYcXBHZLC385yNOcKWgmB7W93vRUuu/1iy1Uh1ENWS6AXj +XERzavDbSFVY178yLtEAwDRQYc6a+RvzjEogtxYucZ7xW2XvcYgKrvqOdYxU +Lzrltelf2tnMO1un2SYgnFXkotpXUqOFKkE0HGGSpz95uH1fYrD8s5hU5EVq +1JFyCWYFbWypRMIULQ/O7lrt7zp8qGMo+Ypv7SXrne391UXd0MYMjg0r9Eaz +UiXnJXmNX5hddZ0zxl43SYkLgm3HzLtF7ZqE5G8T41xEb2oI24iHdSUaAJiF +suXO7g1HyjDuYQtvzWXNPFlrMHL0K8KICxaz3tdtmBPMKjLeIa8RdsEFRhs7 ++NFwhCEVsdOdlxmuCC0kVVBxPOp4pXotjDUBYkvto9UqdaGews0u4zgZjaZX +yj71PP8ru3GB2uW0KHfROLLLaTn/3DcLOGpmTxo1xpPd9eeiiHzsiZlxLjJD +avDbiIt1JVoP3EQDwMCAdpSn7T3ySIxpQ/GdICevP14Y7F/oD7e2B6smuv/8 +VLMtQbTiVQiLr91+YTys8aLhCpOW7fCYHGFYLtsyUh89jv7Qc6pnF1NYQ98Y +6eIxd91D3eSDLZVYWDdt97/1+Phyk+lTVmo174S3ve42xMuUmQ7sU1RqeqvI +XDcx0EW0p4awjbhYVaIBgDEgLy/FJRW1dD3Oo2wpvXiF3+sZK6Qixsst0nAA +q4fb1P1dladlVYk+PrufaffQpc92Ur6LjR2NQJj47lJXdprhqLOcVA0YFbRx +pOKFQiV1Lxq7S/QglYc++478Vo/hlLVNb8qqRV5lLHYPUO8DqZQNFwOnLsts +JF3FvZu+fpsY6yINpqemzzZSEsbYRAMAM1A0Zoa5vjnkfxqGDPWI/s9gwEmf +7/JmG9747RxuNraLtuxJSIz7dd32c9q7u7LGR1f2+o0e5rIx/W5FO+lRgRGN +UJj02S7v+YerjV5PsYzUHjAmQDyp2KFQYe7qafau/pHRR0+lnsiqkpBcS6NI +XW6C3+iRXntuVAkqsn5xGz6Kvf9mddPj9DDHt8eHphWLkOac6DWb41OOJWyN +iMlrpryWJvxtYqyLejA5NSTaSEEYcxMNANaDUpiz9Yu9vZ871d+mMB1q0VBx +0bagnQ9aMYazFUmlWxjTGcSpGVyJBoCBRFqdEZ90s75n1ds13GIr6By8JKNJ +qzMTE67V4T6/az1S6RVmBQzW1Ay6RAPAQIIiTYLu/XGVQlySvnbCsHc+2p9Z +IjJ504BaNKWkQYj0sQFiDVLpFWY1DL7UDNJEAwAAAAAAAAAAAAAAAAAAAAAA +AAAAAEDfKFsKY1YFsic7Tlt24Ek7bUfJmCkswFjASAAA0IekKvXoPyKlCqlK +9psQQOZEcEuGBRgLGAkAABpBFR2KrsVoe/Fa9ooiugofmCkswFjASMAgBpXD +Jb25aH+8b2USieqxzAhrImAk8zGojARYI2hH+cm18ybavDXK0Sf8+HOcs/+R +2uyTfz5t62umQBF+XvIG/w8+zzO9aAy2MKWo+EJafiPWIWhUpJJrdT+Q151f +Mp2rPbetb7VYSCrPbA0J8J3yLmvmilSe/nECaGtp2uGcpv69wqkU5seEb45L +ORq3KTz2jlDvnDqTwuqCMNVIWqimBoyEg5mNBABddPwbu+7A3QZEJrh/4FPb +EZ77yo2PVpHX/7X+62QSayFU+qqGf2+Dsx0N1bTxhXU8ief+eF2AOQBISiXT +6v4g519Y4WPD0j9TlEgtJlLemd+v1iDqMuiXlrzn1FPrB5Xwsi7cbpB1Tg5t +vHIxxQlA2XRlufvC8/WdH1PUnVvgzr3apKQhrA7GGkn73dRSA0bCw9xGAoAu +ZPU3r9dphlP7wwgnB11BZx2dXuR6hxcalXLDgXI1berC0OZs7qwwdR3Rfkol +0ep+aa45vy3+cvSM3jXscNXioJS1a3aypGU7Zs0/qCl6JKtJC3F1cnXrZIq7 +7/ZS42qthChqU9kOuso+1cleDr6n1dUhTAyrg7FG0sijlhowEi7mNhIAGNN6 +L3TybMMyBioF/zRn0tJeVUaVraVnooJ8OD/EbOJ+Mo3l6B2W1lOQgPKUQhgN +Wxja/HfApMAsgcEopSqVoNX9UCurPhuVVCaqMqqviqO2D21K0f3E5UHxZRIV +SRB+dmKI35yVKYdjtoRwXDy4xwozDu6IDPZ2nrMxR9hSEGxvq5s5W3L9x5Kt +iEodxhmJamrASMwwEgCoQYU5a+ZvzDOqwdxauMR5xm+VvYccKrjqO9YxUr2G +k9emf2lnM+9sneYannBKkYtqX0mN1n0E0XCESZ7+5OH2fYnB2oyqVIJWU1aL +vEiNOlIuwaz9ja2WSJui5cHZXav9XYcPdQwlX3WuvWS9s72/urAc2pjBsWGF +3mhWquS8JK/xC7OrrnPG2OsmEXFBsO2Yebfou5ej3yimGYl6asBITDASAKhR +ttzZveFIGcatXOGtuayZJ2sNbK1fkkZcsJj1vm43m2BKkfEOeY2wCy4w2irB +j4YjDKmIne68zHC5RlUqQaspqhVUHI86Xqleq2JNKdhq+9CmUpcYKtzsMo6T +0Wh6te5Tz/O/shsXqF3uinIXjSO73JXzz32zgGPAooh87GmYcUbqT2rASJY3 +EgCoup41Stt75JEY0yPiO0FOXn+8MNiq0B8LbQ9WTXT/+almz4BouasQFl+7 +/cJ4BONFwxUmLdvhMTnCsMQ3NamEraam9tHj6A89p3p2MYU19I2RLh5z1z3U +TQ7Yaom0aWm7/63Hx5ebTJ9SUqt5J7ztdbcJXqbMdGCfwqpGbhIMNFK/UgNG +srCRAEAN8vJSXFJRS9ezNsqW0otX+L0eNUIqYrzcIg3Hg3osTN3fVZRaVpXo +47P7mXaDW/psJ+Vb2NjRCISJ7y51ZacZDgkqUvtoNXW1GjBqf+OoxQuFSupe +NHYXF0IqD332HfmtGMMpZZvelFKLvMpY7B6g3qdRKRsuBk5dltlIuto5ORhr +JA3kUwNGsqiRAKATRWNmmOubQ/6nYchQj+j/DMaW9Pkub7bhPd7OsWBju2jL +noTEuF/XbT+nvfUqa3x0Za/f6GEuG9PvVrSTtixGNEJh0me7vOcfrjZ624Os +VBKtpqa2B4wpBU8tdihUmLt6mr2rf2T00VOpJ7KqJCTXuihSl5vgN3qk154b +VYKKrF/cho9i779Z3fQ4Pczx7fGhacUipDknes3m+JRjCVsjYvKa6V3rMtZI +PVBIDRjJYkYCAPIohTlbv9jb+6FQ/T0E06EWDRUXbQva+aAVY6yZXyrlgARq +zaCN0YCRegNGAgBTkVZnxCfdrO9ZR3aNhdgKOqcUktGk1ZmJCdfqcB/VNbNU +igH7UEu7NqYDRtIDjAQANIAiTYLuzWuVQlySvnbCsHc+2p9ZIjL5ip5aNKWk +QYj0sTthNqn0qqVdm3UARqJb7SA1EgAAAAAAAAAAAAAAAAAAAAAAAAAAwGuO +sqUwZlUge7LjtGUHnrQPxjNQoAcAJgP+BAYlkqrUo/+IlCqkKtlvQkC20NJ6 +Bh7oAYDJgD+BwQmq6FB0LcXai9eyVxQNwhP7oQcAJgP+BJgBKrfMRXv7430r +k0iUVX19YWYPWMoP/cCKpFojzPQnwEzQjvKTa+dNtHlrlKNP+PHn2Mf8q5Da +7JN/Pm3ra9yiCD8veYP/B5/nmV7RBVuYUlR8IS2/EeNMMbS1NO1wThPuu4fk +miCpPLM1JMB3yrusmStSeTS9Zy+vO79kOld7Nhp+E0ihFObHhG+OSzkatyk8 +9o5Q76y5vnqAFK+NHywoFcNFdOkc9P4EBg0d/8auO3C3AZEJ7h/41HaE575y +Y7/L6/9a/3UyidUOKn1Vw7+3wdmOhlLa+MI6nsRzf7wu6GVxVMLLunC7QdY5 +NNp45WIj+5NsgpR35verNZ1fpGi4tOQ9p15FcPqNnH9hhY8NS//cTqwmkEPZ +dGW5+8Lz9Z0fVdSdW+DOvdrUPfr76gGSvCZ+sKhUHBfRoBP8CQwaZPU3r9dp +Bnn7wwgnB121ZR2dbuN6hxcaVUbDgXIpberC0OZs7qwwdZFP7X+uSQtxdXJ1 +62SKu+/2UsPCoKSboJS1a/Z0pGU7Zs0/aFjCpz8NqTm/Lf5y9IzedeKMmkAS +RW0q20FXPac62cvB97S6ZkJfPaAfoiFjdWQRTl+8Hn6wrFRcF5muc9D7Exic +tN4LnTzbsDCASsE/zZm0tFfRTmVr6ZmoIB/ODzGbuJ9MYzl6h6X1nO9PeYAT +RsMWhjb/HTApMEtAcuRQbYJKKbqfuDwovkxiHItiE2TVZ6OSykRVRjVMcZuA +8LMTQ/zmrEw5HLMlhOPiwT1WmHFwR2Swt/OcjTnCloJge1vdtNyS6z+WbNXR +nt6oOfFxIJknpazeDxaWauwimnSCP4FBBSrMWTN/Y55RgeTWwiXOM36r7D1D +oYKrvmMdI9XrKnlt+pd2NvPO1mmu0gkHuFxU+0pqZHeCaDjCJE9/8nD7voRg +9dX/JihaHpzdtdrfdfhQx1CMcmxUmoC8SI06Ui7BrK+N34T2kvXO9v7q4m1o +YwbHhhV6o1mpkvOSvMYvzK66zhljrxvt4oJg2zHzblFb6JMc+6+BHywpFdtF +dOgEfwKDCmXLnd0bjpRh3PkW3prLmnmy1mAM6NeLERcsZr2v2/omGOAy3iGv +EXbBBUbX6/jRcIQhFbHTnZeRXZBRbYIaVFy42WUcJ6Ox9xdTaYKg4njU8Ur1 ++hRr7OM3gaAi9qnn+V/ZjQvUrktFuYvGkV2XyvnnvlnAUTN70qgxnuyuPxdF +5Bv9+HTxWvjBwlJVxi6iRydW5H7otGZ/AoMEtKM8be+RR2JMF4jvBDl5/WG4 +sa1v9bYHqya6//xUs8FAtPhUCIuv3X5hPOHhRcMVJi3b4TE5wrBoNh5Um9BN +2/1vPT6+3GS4/0K6CY8eR3/oOdWziymsoW+MdPGYu+6hbnrBbwLB2E+t5p3w +ttft579MmenAPoVVo5uAvtelr4sfLClVS28X0aMTKzJ1ndbrT2CwgLy8FJdU +1NL1NI2ypfTiFX6vJ7OQihgvt0hDj6qtPnV/V/1pWVWij8/uZ9rdcOmznZRv +KGNHIxAmvrvUlZ1G1vTkm4BK6l40dtfJQSoPffYdxp4JpSZowKivTdAEw7G/ +TW/s1yKvMha7B6g3VFTKhouBU5dlNpKuWN5NX2P/9fGDpaTiu8hUneBPYNCg +aMwMc31zyP80DBnqEf2fwUPD0ue7vNmGt8Q7rW5ju2jLnoTEuF/XbT+nvU8r +a3x0Za/f6GEuG9PvVrSTNiVGNEJh0me7vOcfrib9BgbZJqDC3NXT7F39I6OP +nko9kVUlIb+fgNMh3WCMfbwmoEhdboLf6JFee25UCSqyfnEbPoq9/2Z10+P0 +MMe3x4emFYuQ5pzoNZvjU44lbI2IyWum/DAu4dh/vfxgGan4LjJVJ/gTAPRR +CnO2frG392Of+lsEpkMtGiou2ha080ErhY3o16AJzMGKOpNRUq1Fp8rK/QkM +KqTVGfFJN+t7FnZdVo+toHPgkIwmrc5MTLhWR/nFjtegCczBijqTKVKtRafq +dfAnMKhAkSZB9063SiEuSV87Ydg7H+3PLBGZ/II3tWhKSYMQ6edy7jVoAnOw +os5kglRr0UlSKgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMRpQthTGrAtmTHact +O/CkHW6uA8wC/AkAgxJJVerRf0RKFVKV7DchAF6mBJgF+BMABieookPRtRht +L17LXlFErVACAJgZ8OegBJVbzRWyFUm1Utof71uZRKLy7MBiLXm3Fp3WCzP9 +Cai6znY+uXbeRJu3Rjn6hB9/jlEVQQ1Sm33yz6dtfY0TFOHnJW/w/+DzPJOL +h+IIU4qKL6TlNxIcpWcBqVrkdeeXTOdqzyWjS6qk8szWkADfKe+yZq5I5dF0 +TgBVqYQohfkx4ZvjUo7GbQqPvSPUO4wObS1NO5zTZNrbo4y1KEZqwJ+WkUqI +mf0JmIeOf2PXHbjbgMgE9w98ajvCc1+5sbnk9X+t/zqZxNIClb6q4d/b4GxH +Q2FrfGEdT+K5P14XYPrJIlK1382/sMLHhqV/ZiYNUqW8M79frUHUtaovLXnP +qVcRn4GSSoyy6cpy94Xn6zs/qqg7t8Cde7Wpe/SjEl7WhdsNss7/0sYrF/d3 +AmCsRXFSA/4caKnEmNufgHmQ1d+8XqcZ6u0PI5wcdPWUdXSmlusdXmhUrQwH +yoWtqQtDm7O5s8LUNTwZIVUjuOb8tvjL0TN612gzXapS1q7Z1pGW7Zg1/6Bh +mR/zS+0DRW0q20FXsqc62cvB97S6tIKsJi3E1cnVrZMp7r7bS0kWKTZWy1SL +4qYG/DmgUvvA3P4EBoDWe6GTZxue1K9S8E9zJi3tVUhT2Vp6JirIh/NDzCbu +J9NYjt5haT1n7lMeUITRsIWhzX8HTArMEhjWVbOcVFn12aikMlGVUf1QmqSq +lKL7icuD4sskKnLQJ1WlQvjZiSF+c1amHI7ZEsJx8eAeK8w4uCMy2Nt5zsYc +YUtBsL2t7veiJdd/LNlSp9RhpEWNUwP+HECpTPInYBZQYc6a+RvzjEogtxYu +cZ7xW2Xv6QAVXPUd6xipXsTIa9O/tLOZd7ZOc0lMOKDkotpXUiNvEUTDESZ5 ++pOH2/clBksdi0lFXqRGHSmXYNa2pkOqouXB2V2r/V2HD3UMxSgnZ16patpL +1jvb+6srxqGNGRwbVuiNZqVKzkvyGr8wu+o6Z4y9brSLC4Jtx8y7Rd89Ev0W +MdCi2KkBfw6cVDXM8CdgFpQtd3ZvOFKGcZtZeGsua+bJWgPD6ZeDERcsZr2v +22cmGFAy3iGvEXbBBUYbBfjRcIQhFbHTnZcZrn4sJFVQcTzqeKV60Yc1oOiR +qgYVF252GcfJaOzdF+aWqoagDPep5/lf2Y0L1K5LRbmLxpFdl8r5575ZwDFg +UUS+0Y9PF4y1qMo4NeDPgZOqhgn+BMwB2lGetvfIIzFml4vvBDl5/WG4i6zv +q7YHqya6//xUczVPtNhTCIuv3X5hPLvgRcMVJi3b4TE5wrCKtWWkPnoc/aHn +VM8uprCGvjHSxWPuuoe6MUuP1G7a7n/r8fHlJsP9F/NKVUMw9lOreSe87XX7 ++S9TZjqwT2GV8jYJxlpUS+/UgD8HTqoai/sTMAvIy0txSUUtXY+uKFtKL17h +93oMCqmI8XKLNDSE2ldT93dVxZZVJfr47H6m3XqWPttJ+QYudjQCYeK7S13Z +aYYOs5xUDRi1rU2WikrqXjR2l9NBKg999h3Gnol5paoxHPvb9MZ+LfIqY7F7 +gHpDRaVsuBg4dVlmI+mS5uRgqEXxUwP+HDipaizsT8AcKBozw1zfHPI/DUOG +ekT/Z/CErvT5Lm+24f3nTl/Z2C7asichMe7XddvPaW+KyhofXdnrN3qYy8b0 +uxXtpB2AEY1QmPTZLu/5h6uNXnewjNQeMAaUqVJRYe7qafau/pHRR0+lnsiq +kpDfT6BLKorU5Sb4jR7ptedGlaAi6xe34aPY+29WNz1OD3N8e3xoWrEIac6J +XrM5PuVYwtaImLxmeheljLUofmrAnwMp1cL+BCyIUpiz9Yu9vZ+x1L8eNx1q +0VBx0bagnQ9aMUYBSO13NAKpzIdRnfl6JN2KpAKDGWl1RnzSzfqeVVSXr2Ir +6HQpyWjS6szEhGt1uG9RgNT+ROtLKvNhSme+Rkm3IqnAYAZFmgTd28oqhbgk +fe2EYe98tD+zRGTyBTK1aEpJgxDpY+0EUs0hlfkwoTNfs6RbkVQAAAAAAAAA +AAAAAAAAAAAAAAAAAABApWwpjFkVyJ7sOG3ZgSftg/E+K/SA6UAfQg8AAK1I +qlKP/iNSqpCqZL8JAdlCS+sZeKAHTAf6EHoAAOgFVXQouhZ57cVr2SuKBuGZ ++dADpgN9CD0AWBWo3Gqu7dsf71uZRKIO6esLM3vAiiykYmofDiTQAwDtoB3l +J9fOm2jz1ihHn/DjzzFKEKhBarNP/vm0ra/5AkX4eckb/D/4PI+GAimSyjNb +QwJ8p7zLmrkilad+fVwpKr6Qlt9odKIWsSb8BqKtpWmHc5pwX/0j12pjnTQg +rzu/ZDpXe55Yvxreg1KYHxO+OS7laNym8Ng7Qr3D2frqAVIw10IaaOhMcJG5 +XQQAven4N3bdgbsNiExw/8CntiM895UbDwt5/V/rv04msShCpa9q+Pc2ONvR +UEhayjvz+9WaTjGKhktL3nPSVorpeBLP/fG6gPwwwG0gKuFlXbjdIOscdG28 +crFxRTRyrcbRaRpy/oUVPjYs/bMuKTdch7LpynL3hefrOz+qqDu3wJ17tal7 +XumrB0jCWAtpv5uGzgQXmdtFANAbWf3N63WaYdb+MMLJQVe8WEenKbne4YVG +pcFwoFxIGgelrF2zrSMt2zFr/kFtLRm0OZs7K0xdLZMUeA2U1aSFuDq5unUy +xd13e6lhMU3SrcbTaQKymvPb4i9Hz+hdW41iw3UoalPZDrr6NdXJXg6+p9V1 +BvrqAdJqGWuhbnl0dCa4iAYXKRoyVkcWkTUBAPTQei908mzDY/FVCv5pzqSl +vapWKltLz0QF+XB+iNnE/WQay9E7LK3ngHvKEwthNJVSdD9xeVB8WU8NM7T5 +74BJgVkCw9FFHAe/gZhQbTWGzv62WlZ9NiqpTFRlVPcTr+EqhJ+dGOI3Z2XK +4ZgtIRwXD+6xwoyDOyKDvZ3nbMwRthQE29vqfi9acv3Hkq37SR3GWYhyZ4KL +zOYiRc2JjwPhST6AMqgwZ838jXlG9YZbC5c4z/itsvdQRAVXfcc6RqqXX/La +9C/tbOadrdNczBNOLHJR7Sup0ajAjaZoeXB212p/1+FDHUN7apZJnv7k4fZ9 +ifEKjUAVQQMxodZqbJ39ajXyIjXqSLkEsyY1bsNV7SXrne391eXT0MYMjg0r +9EazUiXnJXmNX5hddZ0zxl43j4gLgm3HzLtF370c/RYxzUL96kxwkZlcBL9N +QH9QttzZveFIGcZtbOGtuayZJ2sNhop+7RVxwWLW+7odcoKJRcY75DXCLrjA +6LIeP5oaVFy42WUcJ6NRIw6piJ3uvAxr0UYQB7+BmFBtNZbOfrRaUHE86nil +euWLNavgN5ygJvWp5/lf2Y0L1K54RbmLxpFd8cr5575ZwDFgUUQ+9sTMOAv1 +tzPBRWZy0exJo8Z4soldBAD6oB3laXuPPBJjmkV8J8jJ6w/D/W/9EdH2YNVE +95+favYhiBa9CmHxtdsvjEc2frRu2u5/6/Hx5SbN56RlOzwmRxjWiyaKQ9hA +TKi2Gksn9VY/ehz9oedUzy6msIa+MdLFY+66h7qJC7/hBLNKajXvhLe97k7B +y5SZDuxTWHWtTYKBFup3Z4KLzOMiuG4CKIK8vBSXVNTS9dCNsqX04hV+r8es +kIoYL7dIQyurR8TU/V21sWVViT4+u59pN82lz3ZSvpGNFQ2V1L1o7K7ZglQe ++uy7nl0O8d2lruw0rIGBraqPBmJCvtX4OvvTah0YNakJGm44q2zTm1VqkVcZ +i90D1Fs1KmXDxcCpyzIbSZf4JgdDLaSDWmeCi8zjIvhtAqigaMwMc31zyP80 +DBnqEf2fwZiTPt/lzTa899s5ImxsF23Zk5AY9+u67ee0t3NljY+u7PUbPcxl +Y/rdinbS3sWIhgpzV0+zd/WPjD56KvVEVpVEt2CUPtvlPf9wNdZbGhhxSDQQ +E7KtxtfZn1b3gDGr4DUcRepyE/xGj/Tac6NKUJH1i9vwUez9N6ubHqeHOb49 +PjStWIQ050Sv2Ryfcixha0RMXjO9F02MtVAPFDoTOxS4iAYXwW8TQDdKYc7W +L/b2fjpUfyfBdChEQ8VF24J2PmjFHLx0qmJUq1V9NJzpWFVngosAwGqQVmfE +J92s71n/dY2I2Ao6xxeZaNLqzMSEa3V4z+/Sq4oxrVb12XArwHo6E1wEANYE +ijQJujfEVQpxSfraCcPe+Wh/ZonI5A0iCtGUkgYhgrfko1eVBia0WtVHw60G +a+hMcBEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADgoWwpjVgWyJztOW3bgSTvc +gwcYB1gUAAYfkqrUo/+IlCqkKtlvQgC8cwkwDrAoAAxCUEWHomsl2l68lr2i +yExVOQCg34BFBx+oHC6PAQ3tj/etTCJR8XZgAYsCOphpUQDtKD+5dt5Em7dG +OfqEH3+Oc/w/Upt98s+nbX2NZxTh5yVv8P/g8zzTCwRhC1OKii+k5TdinYNG +RSq5VlNBUnlma0iA75R3WTNXpPIQ+qRiRKYBed35JdO52pPW+pZKiFKYHxO+ +OS7laNym8Ng7Qr1D8NDW0rTDOU2mvWTKWItqodqZYFEyWJNFATPQ8W/sugN3 +GxCZ4P6BT21HeO4rN3aWvP6v9V8nk1hXoNJXNfx7G5ztaCiojS+s40k898fr +AkwzkZRKptWUkPLO/H61BlEXnr605D0nbUUeGqTiRDYNOf/CCh8blv4poERS +iVE2XVnuvvB8fedHFXXnFrhzrzZ1D31Uwsu6cLtB1vlf2njl4v6OfsZaVPvd +1DoTLEoKq7IoYAZk9Tev12lM3/4wwslBV3ZZR2deud7hhUZFzXCgXFCbujC0 +OZs7K0xd6rOfUkm0miJKWbtmk0hatmPW/IPamj0mS8WNbAKymvPb4i9Hz+hd +dQ5Xah8oalPZDrrKPtXJXg6+p9UVGGQ1aSGuTq5unUxx991eilFoVReiIWN1 +ZBFOXzDWohp51DoTLEoK67IoYG5a74VOnm14oL9KwT/NmbS0V71NZWvpmagg +H84PMZu4n0xjOXqHpfUczU954BNGwxaGNv8dMCkwS2BYfo2iVIJW91OtUnQ/ +cXlQfFlPrTi6pBpH7q9OWfXZqKQyUZVRRVQcqSoVws9ODPGbszLlcMyWEI6L +B/dYYcbBHZHB3s5zNuYIWwqC7W11M2dLrv9YshVRe3qDbPUExlmUameCRclE +s2aLAvSDCnPWzN+YZ1QpubVwifOM3yp7DwxUcNV3rGOkegUjr03/0s5m3tk6 +zfUw4cCXi2pfSY2MRRANR5jk6U8ebt+XGKxzqEolaHV/1CpaHpzdtdrfdfhQ +x9Ce2nB0SMWO3C+dyIvUqCPlEsxq3dhS1bSXrHe291cXlkMbMzg2rNAbzUqV +nJfkNX5hdtV1zhh73VAXFwTbjpl3i9o1CcmBzziLUu9MsGjf0azZogD9KFvu +7N5wpAzjhqvw1lzWzJO1Bm7TrxojLljMel+3yUww8GW8Q14j7IILjK6M8aPh +CEMqYqc7LzNc+lCVStDqfqpVqSvkFG52GcfJaERplYoRuR86BRXHo45Xqhen +WAMfW6oagmrdp57nf2U3LlC7KBXlLhpHdlEq55/7ZgFHzexJo8Z4srv+XBSR +jz0NM86i/elMsGhf0azZogDtoB3laXuPPBJj9rf4TpCT1x+GW8j6pmp7sGqi ++89PNZfyRItShbD42u0XxuMMLxquMGnZDo/JEYbFrqlJJWx1f9Rqabv/rcfH +l5tQ+qRiR6au89Hj6A89p3p2MYU19I2RLh5z1z3UzS3YUtUQDPzUat4Jb3vd +Zv7LlJkO7FNYFb8J6HtRykCL9qszwaJ9RLNeiwL0g7y8FJdU1NL13IqypfTi +FX6vB4KQihgvt0hDN6hNNXV/V11qWVWij8/uZ9p9Z+mznZRvNGNHIxAmvrvU +lZ1maC8qUvtoNVW1qKTuRWN3bRyk8tBn3/Vsa5gqFT9yf3TqwKjWjSNVjeHA +36Y38GuRVxmL3QPUuykqZcPFwKnLMhtJl1Lvpq+Bz1iLaiDfmWBREg3XYFUW +BWhH0ZgZ5vrmkP9pGDLUI/o/gxEgfb7Lm214J7bTVDa2i7bsSUiM+3Xd9nPa +O6KyxkdX9vqNHuayMf1uRTvp9GNEIxQmfbbLe/7haqN3HchKJdFqampRYe7q +afau/pHRR0+lnsiqkuhWiKZKxY/cH509YAx8PKkoUpeb4Dd6pNeeG1WCiqxf +3IaPYu+/Wd30OD3M8e3xoWnFIqQ5J3rN5viUYwlbI2Lymik/iUs48Blr0R4o +dCZYtI9oPViPRQFLoRTmbP1ib+8HLPUvxk2HWjRUXLQtaOeDVowhYH6p1AJa +VCptvcp8rKgzwaL9jmbVFgXMhLQ6Iz7pZn3PEqrLVLEVdFqUZDRpdWZiwrU6 +3AdqzSyVSkALS6WzV5mPFXUmWLQ/0azfooCZQJEmQfeeskohLklfO2HYOx/t +zywRmfwqNbVoSkmDEOlj4WQ2qdQCWlQq/b3KfKyoM8Gig9OiAAAAAAAAAAAA +AAAAAAAAAAAAAAAAgNWjbCmMWRXInuw4bdmBJ+1wJxtgHGBRABh8SKpSj/4j +UqqQqmS/CQHw5iLAOMCiADAIQRUdiq6VaHvxWvaKImpVCQDA/IBFBxmoHK6N +gR7aH+9bmUSiKO3AAi4FdDDTooMctKP85Np5E23eGuXoE378OfZh/CqkNvvk +n0/b+hrMKMLPS97g/8HneaYXFcUWphQVX0jLbzQ6UYuiVHKt7gfyuvNLpnO1 +h4DRpFYlqTyzNSTAd8q7rJkrUnk0vZRPVSohSmF+TPjmuJSjcZvCY+8I9c6p +Q1tL0w7nNJn2qiZjXYqRGrDooLQoQDcd/8auO3C3AZEJ7h/41HaE575yY1vJ +6/9a/3UyiUUFKn1Vw7+3wdmOhoLX+MI6nsRzf7wuwHQSSalkWt0f5PwLK3xs +WPoHVNKgVso78/vVGkRdGPrSkvecelXMGSipxCibrix3X3i+vvOjirpzC9y5 +V5u6hz4q4WVduN0g6/wvbbxycX9HP2NdipMasOigsyhAN7L6m9frNKZvfxjh +5KCrXKyjM6lc7/BCo7pgOFAueE1dGNqczZ0Vpq6W2U+pJFrdL80157fFX46e +0bsgmslqVUpZu2b7SVq2Y9b8g4Y1dcwvtQ8UtalsB119nOpkLwff0+o6BrKa +tBBXJ1e3Tqa4+24vxShXqgvRkLE6sginLxjrUtzUgEUHWmof0GBRwHK03gud +PNvwTHyVgn+aM2lpr5KVytbSM1FBPpwfYjZxP5nGcvQOS+s53Z7yqCeMhi0M +bf47YFJglsCwghlFqQSt7odaWfXZqKQyUZVRsU661CpF9xOXB8WXSVTkoE+q +SoXwsxND/OasTDkcsyWE4+LBPVaYcXBHZLC385yNOcKWgmB7W93k2ZLrP5Zs +XdGe3iBbg4CRLjVODVh0YKUOgEUBS4EKc9bM35hnVGy4tXCJ84zfKnsPDFRw +1XesY6R6+SKvTf/Szmbe2TrNxTDhqJeLal9JjVxFEA1HmOTpTx5u35cYLHKo +SiVoNWW1yIvUqCPlEsxC0nSoVbQ8OLtrtb/r8KGOoRi128wrVU17yXpne391 +eTa0MYNjwwq90axUyXlJXuMXZldd54yx1w11cUGw7Zh5t6hdk5D8bWKiS7FT +AxYdUKlqzGxRwDIoW+7s3nCkDOOGq/DWXNbMk7UGVtMvvCIuWMx6X7fDTDDq +ZbxDXiPsgguMtgjwo+EIQypipzsvM1z3UJVK0GqKagUVx6OOV6pXfFijiSa1 +KnUFm8LNLuM4GY29FZtbqhqCmtennud/ZTcuULsoFeUuGkd2USrnn/tmAUfN +7Emjxniyu/5cFJGPPRMz1qUq49SARQdUqhpzW1QPXIsC9IJ2lKftPfJIjNnZ +4jtBTl5/GO4f6zuq7cGqie4/P9VcxxOtSBXC4mu3XxiPM7xouMKkZTs8JkcY +1oumJpWw1dTUPnoc/aHnVM8uprCGvjHSxWPuuoe6AUuHWi1t97/1+Phyk+Hm +i3mlqiEY+KnVvBPe9rrN/JcpMx3Yp7DqZhPQ93UTY12qpXdqwKIDKlWNmS0K +DDjIy0txSUUtXQ+tKFtKL17h93ogCKmI8XKLNLSC2lFT93dViZZVJfr47H6m +3XSWPttJ+S4zdjQCYeK7S13ZaYbeoiK1j1ZTV6sBo5C0yWpRSd2Lxu7aNUjl +oc++w9gwMa9UNYYDf5vewK9FXmUsdg9Q76aolA0XA6cuy2wkXe28m75+mxjq +UvzUgEUHVKoaM1sUGFgUjZlhrm8O+Z+GIUM9ov8zGAHS57u82YZ3YjsdZWO7 +aMuehMS4X9dtP6e9HSprfHRlr9/oYS4b0+9WtJPOPUY0QmHSZ7u85x+uNnrR +gaxUEq2mprYHjNFkqlpUmLt6mr2rf2T00VOpJ7KqJOQ3E+iSiiJ1uQl+o0d6 +7blRJajI+sVt+Cj2/pvVTY/TwxzfHh+aVixCmnOi12yOTzmWsDUiJq+Z8oqU +8LeJsS7FTw1YdIClmt+iAPNQCnO2frG399OV+lfipkMtGiou2ha080Erhv/N +L5VyQIuqpU0q82FUZ4JFSTOILAqYA2l1RnzSzfqe9VOXo2Ir6PQnyWjS6szE +hGt1uA/UmlkqxYAWVkunVObDlM4Ei1JgcFkUMAco0iTo3lBWKcQl6WsnDHvn +o/2ZJSKTL42pRVNKGoRIH6sms0m1LrX0S2U+TOhMsKgFpQIAAAAAAAAAAAAA +AAAAAAAAAAAAAACAeVG2FMasCmRPdpy27MCT9tf5Nja9LTVTvw2edAAAAOAj +qUo9+o9IqUKqkv0mBJA5ZdxaobelZuq3wZMOAAAAAlBFh6Jrdd5evJa9oug1 +LklAb0vN1G+DJx0AAAAkaH+8b2USiYq09IHKLbNjRW9LzdRvA58OAOgHaEf5 +ybXzJtq8NcrRJ/z4c+zD+FVIbfbJP5+2EQ94cqGoIKk8szUkwHfKu6yZK1J5 +6nfHlaLiC2n5jUbHaVlcqgZ53fkl07naE8BoUovRDxaQSohSmB8Tvjku5Wjc +pvDYO0K9Q+rQ1tK0wzlNpr6nSa6jVCjCz0ve4P/B53mmF+fBNgl+R5nQ0t65 +MDXaAKQDAMxNx7+x6w7cbUBkgvsHPrUd4bmv3Hjmk9f/tf7r5D4XWmRCUULK +O/P71RpEXbD70pL3nLRlYjqexHN/vC7AHF2Wkqr9ev6FFT42LP3TKWlQi9MP +AyqVGGXTleXuC8/Xd35UUXdugTv3alP3dIhKeFkXbjfIOv9LG69c3N8ZkWRH +dX6f9FUN/94GZzsa6q3jmwSro0xpqXEuTOs3c6cDAMyPrP7m9TrNkGt/GOHk +oCtbrKPT6Fzv8EKjomD9CEURpaxdszUjLdsxa/5BbSEZtDmbOytMXSqTMVK7 +w9ac3xZ/OXpG72poJqvF7YeBk9oHitpUtoOuOE51speD72l1EQNZTVqIq5Or +WydT3H23l2LUKtWFaMhYHVmE3RekO6obyvXWsSEyiVFHUWip8RcZ5cKUaCqz +pwMABprWe6GTZxseiK9S8E9zJi3tVa9S2Vp6JirIh/NDzCbuJ9NYjt5hab2P +tscJhQtxQKXofuLyoPiyngJmaPPfAZMCswSG5cssKlVWfTYqqUxUZVSpky61 +xv0wUFJVKoSfnRjiN2dlyuGYLSEcFw/uscKMgzsig72d52zMEbYUBNvb6qbu +llz/sWSLivb0Bn6NDKodRfm3qR8mwe0oyl+BmwsiLJkOABhgUGHOmvkb84wq +DbcWLnGe8Vtl77kbFVz1HesYqV44ymvTv7SzmXe2TtFnqC7kotpXUqN/wQ2o +aHlwdtdqf9fhQx1DewqWSZ7+5OH2fYnBws+SUpEXqVFHyiWYVaTpUIvdDwMk +VU17yXpne391bTa0MYNjwwq90axUyXlJXuMXZldd54yx101/4oJg2zHzblG7 +biGYDKmmlfC3iaL9uv8VwyT4HYUD9VwQYrl0AMCAomy5s3vDkTKMZwKEt+ay +Zp6sNZgN9auuiAsWs97vuQmCH6oTGe+Q1wi74AKjQUgQUKUu21K42WUcJ6NR +ExSpiJ3uvMxwLWg5qYKK41HHK9ULYaxJhia1GP0wQFLVEBS8PvU8/yu7cYHa +hbood9E4sgt1Of/cNws4amZPGjXGk93156KIfP3fAaodRfDb1B/7YZsEv6Pw +oJwLQiyXDgAYONCO8rS9Rx6JMQ0ovhPk5PWH4S0O/YHW9mDVRPefn0r6DKVG +ISy+dvuF8a8BXkAtbfe/9fj4cpPmc9KyHR6TIwyLRVtM6qPH0R96TvXsYgpr +6BsjXTzmrnuo+02hQy12PwyQVDUEk2FqNe+Et73uBsfLlJkO7FNYRbMJIFio +U+0oousmqvbDNQl+R+FBOReEWC4dADBQIC8vxSUVtXQ9yKNsKb14hd/rmTWk +IsbLLdJwEKoH2tT9XVWiZVWJPj67n0n7DkUEVkBUUveisbtgC1J56LPvevay +xHeXurLTDMebBaXqwKgibbJa/H4YIKlqDCfDbXqTYS3yKmOxe4B6h0mlbLgY +OHVZZiPpUufdEEyGVNKqRvpsJ+VnISibBL+jqH2FBqxcEGK5dADAgKBozAxz +fXPI/zQMGeoR/Z/BJC19vsubbfiwQOdAs7FdtGVPQmLcr+u2n1Pf1yURigCM +gKgwd/U0e1f/yOijp1JPZFVJdItX6bNd3vMPVxu9YmIxqT1gTDKmqsXvhwGT +iiJ1uQl+o0d67blRJajI+sVt+Cj2/pvVTY/TwxzfHh+aVixCmnOi12yOTzmW +sDUiJq+Z8tPJRJMh2Y5SI2t8dGWv3+hhLhvT71a0k56RqZoEr6OofUUP1H6b +LJsOAGAKSmHO1i/29n7iVH+DghYoBETFRduCdj5oxZiimSZVZWG1tEm1LK9F +R9HuQwAAVNLqjPikm/U9K9eugRZbQfOETyagtDozMeFaHe4z3wySqrK4Wjql +Whbr7yjafQgAgBoUaRJ03/NQKcQl6WsnDHvno/2ZJSI63i2nEFApaRAifaxX +GSLV0mrpl2pZrLmjaPchAAAAAAAAAAAAAAAAAAAAAAAAAAAAYLUoWwpjVgWy +JztOW3bgSbupt+rpjWbusAwE0gEwCrAQYCEkValH/xEpVUhVst+EAFPfBaQ3 +mrnDMhBIB8AowEKApUAVHYquVUt78Vr2iiJq5/ybOZq5wzIQSAfAKMBCgB6o +3AKXuO2P961MIlH21BLRzB2WgUA6+o1Fhk//sCKpg8pCgwmkNvvkn0/b+jIi +ivDzkjf4f/B5nsnVrjuvmivPbA0J8J3yLmvmilSe+l15paj4Qlp+I8YJZWhr +adrhnKb+vLEorzu/ZDq3d/m8/kdTH56THxO+OS7laNym8Ng7Qr3j2kwK2wOp +XKAd5SfXzpto89YoR5/w48+xS3xQAtKBBbl+tsDwwRaGnzILSqVkLRJYmYUA +E5DX/7X+62QSawNU+qqGf2+Ds53p1a5VUt6Z36/WIOrSz5eWvOekrZXT8SSe +++N1QS83oBJe1oXbDbJOF7XxysWUnCLnX1jhY8PSO0LTlGhdtcGXuy88X9/5 +MUXduQXu3KtNShrC9ugll4uOf2PXHbjbgMgE9w98ajvCc1+5iefgQDowIdPP +Fhk++MKwUmZRqRSsRQZrsxDQfzpzw/UOJ300P+Vq13hfK2vX7BdIy3bMmn9Q +W5sHbc7mzgpTlwbVIKtJC3F1cnXrZIq77/ZS8mVG1Z89vy3+cvSMnpJtpkTr +RFGbynbQlcWpTvZy8D2tLpJAIayiIWN1ZBF2d5PNhaz+5vU6zWTU/jDCyUFX +fbu/DNp0EAvuu58tM3yIhBmlzLJSyVuLDEy0ENGIBkxAwT/NmbS0VxVQZWvp +maggH84PMZu4n0xjOXqHpfWc5k/ZsYTROi/u7ycuD4ov6ymehzb/HTApMEtA +1rL48WXVZ6OSykRVlMqJIvzsxBC/OStTDsdsCeG4eHCPFWYc3BEZ7O08Z2OO +sKUg2N5WNw+05PqPJVtOVAdB6QGqueii9V7o5NmG1SPwgXT0E+x+tvDwwRSG +kzKrGenWZiEoJmImWguXOM/4rbL3kEMFV33HOkaq1zTy2vQv7Wzmna3TXNMS +OlYuqn0lNZrFcKMpWh6c3bXa33X4UMfQnmJ5kqc/ebh9X0J+/YMdH3mRGnWk +XEK91HV7yXpne391VTa0MYNjwwq90axUyXlJXuMXZldd54yx13lXXBBsO2be +LWorSwInU82F+l+FOWvmb8zDLpgN6aANvH625PDBFYadMisa6dZlIfhtMhPC +W3NZM0/WGuym6heaERcsZr2v3SUmcqyMd8hrhF1wgZFp8KOpQcWFm13GcTIa +NVZHKmKnOy+jsnbBiC+oOB51vFK92qLsZIJS16ee539lNy5Qu8oS5S4aR3aV +Jeef+2YBR83sSaPGeLK7/lwUka8/qVDNhUrZcmf3hiNl2HfoIR0E9KRDD4N0 +9IDfzxYePtjCsFNmTSPduiyEP6IBUxDfCXLy+uOFwVaFvjfaHqya6P7zU821 +ONFqSiEsvnb7hfEIxo/WTdv9bz0+vtyk+Zy0bIfH5AjD+ttEGMd/9Dj6Q8+p +nl1MYQ19Y6SLx9x1D9v6CtQFgZNTq3knvO11u9MvU2Y6sE9RKcqtIlxlUcsF +2lGetvfIIzHuUIB00AJhP1ty+OAKw06ZNY10q7IQXDeZCaQixsst0tAfam9M +3d9Vf1pWlejjs/uZduNY+mwn5TukWNFQSd2Lxu4aOEjloc++67nSF99d6spO +o+IPfLUqqqWuVcZO3qbn5FrkVcZi9wD19oBK2XAxcOqyzEbSRb+7IXAylVwg +Ly/FJRW1dH25sqX04hU+6Sf1IB0U6KOfLTV8CIVhp8yaRrpVWQh+m8yF9Pku +b7bhPd5Ob9jYLtqyJyEx7td1289pb2nKGh9d2es3epjLxvS7Fe2kU4gRDRXm +rp5m7+ofGX30VOqJrCqJbgkmfbbLe/7haiqvPuCo7Yaak1GkLjfBb/RIrz03 +qgQVWb+4DR/F3n+zuulxepjj2+ND04pFSHNO9JrN8SnHErZGxOQ1U16lEzmZ +bC4UjZlhrm8O+Z+GIUM9ov8j/xA5pIMsJPrZMsOHUBheyqxopFuVheC3yWwo +hTlbv9jb+yFJ/Wtq06EQDRUXbQva+aCV0p4tvWotiflzQS3gIE8HGRg1fFSE +KWOUVEJrDS4LAQRIqzPik27W96yourwRW0GnY8lEk1ZnJiZcqyP7PDTl+NaA +mXNBJSCkgxxMGT6qvlPGFKl96Bx0FgIIQJEmQfemsEohLklfO2HYOx/tzywR +mbxJQiGaUtIgRKg+5UKvWkZgtlxQCwjpIA8Tho+KXMqYIJVQ5yC1EAAAAAAA +AAAAAAAAAAAAAAAAAAAAAD0oWwpjVgWyJztOW3bgSbupR43QG83cYQFmAi4C +gEGPpCr16D8ipQqpSvabEGDqy3P0RjN3WICZgIsAAEAVHYquFWR78Vr2iiIT +ayvQG83cYQFmAi4CADODyq1m46D98b6VSSSKgVoimrnDmogVZdm6GFQuAgA8 +0I7yk2vnTbR5a5SjT/jx59glF1RIbfbJP5+29TUZoQg/L3mD/wef59FQSEdS +eWZrSIDvlHdZM1ek8tSviStFxRfS8hupnO9G2EC0tTTtcE5Tf17xk9edXzKd +2+tcLxOiqY+UyY8J3xyXcjRuU3jsHaHeIWYmhdUFYWqWsYX1nWhSUsm1mgo0 +eVKLlbkIAAaQjn9j1x2424DIBPcPfGo7wnNfufFZIfL6v9Z/nUxixYVKX9Xw +721wtqOhmrOUd+b3qzWIuurxpSXvOWlrwXQ8ief+eF1AfozhNhCV8LIu3G6Q +dY7oNl65mNKolfMvrPCxYemdOWlKtK6K2cvdF56v7/yYou7cAnfu1SYlDWF1 +MDbL+MKIEk1SKplWU4IuT2qwNhcBwAAiq795vU4zYtsfRjg56CoU6+h0PNc7 +nPSp9JSrOeOglLVr9oykZTtmzT+orT2DNmdzZ4Wpq2KSAq+Bspq0EFcnV7dO +prj7bi8lX9pV/dnz2+IvR8/oqXFmSrROFLWpbAddHZnqZC8H39Pq6gEmhu0R +zNQsEwnDTTRZqSRaTRGaPKmRZ20uAgBL0XovdPJsw2P0VQr+ac6kpb2qXCpb +S89EBflwfojZxP1kGsvROyyt5yB7yrMWYTSVUnQ/cXlQfFlPlTK0+e+ASYFZ +AsOJgDgOfgOpqpJVn41KKhNVUaq/ifCzE0P85qxMORyzJYTj4sE9VphxcEdk +sLfznI05wpaCYHtb3czZkus/lmz9TeowMsuYwnASTVUqQav7qZYOT1q5iwBg +4ECFOWvmb8wzKircWrjEecZvlb1HNSq46jvWMVK9UpTXpn9pZzPvbJ1mp4Bw +1pKLal9JjVaXuNEULQ/O7lrt7zp8qGNoT1UyydOfPNy+LzFe/hGoImggbodg +RkNepEYdKZdQrw3dXrLe2d5fXcYMbczg2LBCbzQrVXJektf4hdlV1zlj7HXz +iLgg2HbMvFs03LHDaBQDs4wrDDvRVKUStLo/amnxpJW7CAAGDmXLnd0bjpRh +3C0W3prLmnmy1mCPWr/GirhgMet97d470awl4x3yGmEXXGA0FPGjqUHFhZtd +xnEyGjXikIrY6c7LsFaEBHHwG4gLRjRBxfGo45XqlS/lWYWgNvSp5/lf2Y0L +1K54RbmLxpFd8cr5575ZwDFgUUQ+9jTM2CxjC8NONFWpxKm3hCet3EUAMGCg +HeVpe488EmM6UXwnyMnrjxcGuyH6I67twaqJ7j8/1exwEK2oFcLia7dfGE8S ++NG6abv/rcfHl5s0n5OW7fCYHGFYX5ooDmEDcTGO9uhx9IeeUz27mMIa+sZI +F4+56x629RWoC4JZJbWad8LbXnen4GXKTAf2KSqF0EnB2CzjCsNONDWpfaZ+ +4D1p1S4CgIEDeXkpLqmopeuJHmVL6cUr/F5PMyEVMV5ukYajTj3ipu7vKgUt +q0r08dn9TLsdL322k/JdcqxoqKTuRWN3mRek8tBn3/Xsn4jvLnVlp2GNOmxV +fTSQkiod1GpDq4xnlW16s0ot8ipjsXuAeqtGpWy4GDh1WWYj6VLY5GBolgmF +YSeaitT+ph4nIH2e1GBtLgKAAUPRmBnm+uaQ/2kYMtQj+j+D4St9vsubbXgb +uXPE2dgu2rInITHu13Xbz2lvFMsaH13Z6zd6mMvG9LsV7aQHBkY0VJi7epq9 +q39k9NFTqSeyqiS6ha302S7v+YersV4owYhDooEUVPVAbVZBkbrcBL/RI732 +3KgSVGT94jZ8FHv/zeqmx+lhjm+PD00rFiHNOdFrNsenHEvYGhGT10zvcpex +WSYUhpdoslJNSD12QLo82YNVuQgAmIZSmLP1i729Hz3V36kwHQrRUHHRtqCd +D1ox92gspuo1gFFZVhEm2vxSqQUcQE8CANALaXVGfNLN+p6lateIi62gc9Yi +E01anZmYcK0O71FgC6l6XWBKllV9JtrcUqkEHFBPAgBgCIo0Cbq32lUKcUn6 +2gnD3vlof2aJyOR9AwrRlJIGIYJ3V9tiql4nmJBlVR+JNrdUagEH0JMAAAAA +AAAAAAAAAAAAAAAAAAAAAAAA8LqgbCmMWRXInuw4bdmBJ+20nSNjprCDCnr7 +EBINAID1IKlKPfqPSKlCqpL9JgRkC5kddlBBbx9CogEAsCJQRYeia7HbXryW +vaKIrqoHZgo7qKC3DyHRAGBmUDlsHNBP++N9K5NI1KVlRlgTsS4L0duHgyrR +AIAH2lF+cu28iTZvjXL0CT/+HKeIBFKbffLPp219zRcows9L3uD/wed5NNSN +kVSe2RoS4DvlXdbMFak89Yv1SlHxhbT8Rqxjy6joJNdkc0slQF53fsl0bq9j +1tDW0rTDOU39e39TKcyPCd8cl3I0blN47B2h3gl4JoXVBWGqhbCF9S81xinW +fUv/+9DKEg0AA0jHv7HrDtxtQGSC+wc+tR3hua/c+HQVef1f679OJrHiQqWv +avj3Njjb0VCTXco78/vVmk4xioZLS95z0lbP6XgSz/3xugBzjJHUSabJ5pZK +hJx/YYWPDUvvCFBUwsu6cLtB1jn5tPHKxRQjKpuuLHdfeL6+82OKunML3LlX +m5Q0hNXBWAvhC6OcGpwUm9aH1pZoABhAZPU3r9dpRmz7wwgnB11NZx2djud6 +h5M+x59ytW4clLJ2zbaOtGzHrPkHtQV70OZs7qwwdR3Rfuok0WRzSyWUV3N+ +W/zl6Bk9JedkNWkhrk6ubp1McffdXmpcXJUQRW0q20FX1qc62cvB97S6mAOF +sIqGjNWRRTg9y1gLEQmjmhqcFJuSGiYmGgAYSeu90MmzDWsPqBT805xJS3vV +BVW2lp6JCvLh/BCzifvJNJajd1haz9H/lCcWwmgqpeh+4vKg+LKeum5o898B +kwKzBAbTClWdBE02t1SCOLLqs1FJZaIqSuVQEX52YojfnJUph2O2hHBcPLjH +CjMO7ogM9naeszFH2FIQbG+rm5Zbcv3Hki2HqkNRc+LjQDIPeDHSQpjCqKem +61+NUtxfYcxMNAAwEFSYs2b+xjyjMsythUucZ/xW2Xu6QQVXfcc6RqrXnfLa +9C/tbOadrdPsFBBOLHJR7Sup0VoVN5qi5cHZXav9XYcPdQztqeMmefqTh9v3 +JQbLP6o6CZpsbqm4cZAXqVFHyiXUS3W3l6x3tvdXV5VDGzM4NqzQG81KlZyX +5DV+YXbVdc4Ye90kJS4Ith0z7xa1axKSv01MtBCuMIqpUeGluA+sK9EAwDiU +LXd2bzhShnEbW3hrLmvmyVqDoahflUZcsJj1vm4HnmBikfEOeY2wCy4wGor4 +0dSg4sLNLuM4GY0acUhF7HTnZYYrQqo6CZpsbqk4cQQVx6OOV6qX1ZSnLIJS +3aee539lNy5Qu5wW5S4aR3Y5Leef+2YBR83sSaPGeLK7/lwUkf9/9t4+Kor6 +/f/Pvzphfc3eUVJt30AQAQWUPOIXkJRu+Ird0a8TGnaORRrJTWZlofXt6OEY +IogF5QH18yFoA5RT6RHF/GgSKiCBIAZI3AYLCOuyC8vu7M3sj112YW9mZue1 +O8vswPX4y3NWrn1e1+v5mnnNa2bnIj6ZO62FiIUhDQ3FEFuDWwNtBOlAA8CM +gY+38dOON0gInSi5Fu0R9H2X2TaN8Ywbq9u2ZNlXzfp9DqpFr0pUf+FKl+XR +izzaJGO17/m/cHZY/3fyln3+PgnmTbnRdFKm7GipxHEabqU/F7A8QIcvz+X+ +h7381yXfHLP8UwIoDlmFPd0/Bj8xdRvi3/9a9WTIT0TNwymwft3ktBYiFYYy +NFRDbA1ODTQAOBPYv6cP59aM6J7oUY80/XpOYPKYFdaeEeSXaD6HtTNu+SFd +i2tFZ3Zo6IFWw6a8vHU/8o1somi4rL9raLIxDtZx9NUPpndRJFWbvEP45rMO +RaeVlB0tlVyYHrRW3RrLQ9Yeo0NWH3b3zFvLorT7QBr14K8bl28uG6LdR30S +a+cmJ7UQpTC0oSEfYtuE6XG2gQYAp0E1VBbv/cC8+/TMc/FP/8fsOC2/kxoc +Yn5/e2LGuS7a8Nk3R7IPf52896ThdrFiqOFc2tpH5nvtKqlql9KeGATRcNGf +2wOf8I5MTD/xU+GP5Z2yqWWqvDU1OOJYj8XPU+jqpJGyo6USx5kG7ZCFY/1/ +Hln7yMNB3/xPp7C9/P/5PbQw5NDlnuFbJfHu/+t/b+XXi7F7Fekffpr1X/99 +ZHdCRuU95LU05bnJaS1EKQxtaMiH2BZh0zjbQAMAp1CLKna/nmb66KnxToX9 +IETDJTV7ovfXjRIcHByvEy0ghVQHCHNqnMpCmhkdmrk10AAww8h7zmTlXh6Y +XvjqZlxmO5Pzl040eU9Z9pEL/aTPfDtYJ0pAK1IZF+bsOIuFNDM8NHNuoAFg +hsGxYeHkhrtGJWksSVo8/9HnD5U1iu3eN0CIppYNijAr2ykO08mgVMaFcQNn +sJBmRodmjg40AAAAAAAAAAAAAAAAAAAAAAAAAAAAl1CPVGds2xji4x64Oee2 +1N4XmjhzNEeH5SizoBqzIAWmmB2lmB1ZAPYh6yw88ZdYrcE689YujqLzXmqu +RnN0WI4yC6oxC1JgitlRitmRBWAnuGpcpVuXSOuTQuJq7Hz9vjNHc3RYjjIL +qjELUmCK2VGK2ZEFwBDSWwffz6XRw5T70Rwd1k5wJTtbGM5ZDSScMwVWBtQ5 +S4HK7MgCsAo+3laQtH6J64ML3UN35N8xfu0zPtrEP1YxjPRDQllH0e4tUWG+ +T/FWxRV2G/9E3pZoepT9p2JWxJq8i8yOaNr36lzN2PHp4f86cfiTHZnXREZv +crMr7FQQ8pIagfVdKvileczaEQrHBJV5OyOffa2Suf48pvVUi+tL+VeHCN43 +Z60atFKgVw0ULD1mewq0cN4BZbIULI2mHqY8Ccwaxv/OTM6pGsQUwtqcVxYt +CDjYpj+f4LLu8tIrg4oJn4x1t0noeUHeXfTd+V5M29r7dMzTHtPdcGyKpkcp +KI0LdeUZvSfTnmi6tuFvL/u/pwYm/kzVf/KlZbHnh9UMhJ2CtKTGOQ389tE7 +eTTWfrj8bq/gxk5PN/sbl099t0U9NeO3s2K/uCg0ydhaNWimQKcaSJB4zJYU +aOK0A8pgKdgaTcPXM+NJYBahGLh8sV9vL+nNBI8n9Y2eFb38Ld4e3n4T+C4L +29tk2TOUELVCqt+qkLfsWx3xg76Rj43R9H97ak/W2fSV033Z7Ik2gaqvMOTJ +qd43PXlBT4b9rO2fgBBWNXhme2INySulyUpqxMTZMTZ4B+1+CciNy6mwrKcW +/N6l2NXx2patU/+Nuhp0U6BRDURIPIaeghEcHVDGSsHeaOrlMeJJIygHFHAy +1KNNRSnRoeGfZ3wS+2Igzz04nm/6En/N6I2tPmvM2xvYFE0trs1+OzqrRUYR +gV40RU9xSm6LuBOpZygmuJS9Ze3/ef+/jmV8tiXcyz/2v6vP/LAv8c1gz/+z +q0I0cv3NJxZNzamRPyMfo9szdAqajcvJSqoS/By+dJNJQ1fKeiIfymyoJ37v +96ilG8uFNPdoUFPQgWIwqwEtPYaYgkk6nB1Q3af2loLd0WTKkyYZ0R1QwCnA +hefDHnNP1C5ElH0lb7i5ri/un74qxkUVH0bsqqTdm5k0mmqkrjh1e6T3Qy7u +W2n3ZSOOhnUVphxvk6H3s5Y2fuT5RKS29Ro+dCbclbf1f+6pNcru3KD//X8v +dV4M/88TU2cjyfU3F/1n/R9oS1iazicr6Wh1jOfKbztMZzXF6FAeypTivrty +i0FDr6es+Ut/v48baV6EoqZAUQ3kLDRkHkNLwRiuDqiGmVKwOZrMedIYODdx +DOP+MpLrb/Gemb4fpB65dmDn8RaUW5sU0TTatjnVn3o9Hn5myIZ+1vpowvb8 +lPwO7doK+dxE0c/6pztX/z+3xzcarpvEf254nO51k1Jw8t2XwrWsWbrwPwEh +un9uSLhKPEHJSyr6Yx1vVUGf2WmbvJ4UhzJF99GgBW5vXrcoDXI9sfbMFZ6b +6V5AoqZAbTCULCg8hpaChvMDylgp2BtNJj2pQR1QwHkw9sZY3bYly75q1m0D +4ONt/LTjDRK0ASSLZmCs9j3/F84O23BumozWcCv9uYDlATp8eS73P+zlvy75 +5pi1QDoozk2FPd0/Bj8xdb/p3/9a9WTIT0T9uimwviqjLKnkWrRH0PddZrsh +5PWkWmarRPUXrnRZHiSQ6ylv2efvk2DeTZ0MtBSsGox+FlQeQ0vB5Pu5OKDM +lYK10WTUkyYS4LqJW2i9sfyQrlm1ojM7NPRAq3bBgv17+nBuzYjuUTX1SNOv +5wT0Hr0hiobL+ruGJhvmYB1HX/2A9p4eiTY9aP2sNZbnpj1G56Y+7O6Zt5ZF +aTf8NOrBXzcu31w2RLsf+CTWnG+lpFh7RpBfovmUI6+AvHU/8q1z5HpKqjZ5 +h/DpnqRRUrDVYCQByT2GloIxHB1QpkrB4mhOYb8njYFzE8eY8Ibrog2ffXMk ++/DXyXtPam9FqobK4r0fmHefnnku/un/0PQaQTRc9Of2wCe8IxPTT/xU+GN5 +p4z+lRhBtGnQzk041v/nkbWPPBz0zf90CtvL/5/fQwtDDl3uGb5VEu/+v/73 +Vn69GLtXkf7hp1n/9d9HdidkVN5D9j6l82mUVH4nNTjE/DYySQUUQw3n0tY+ +Mt9rV0lVu5T2SRS1nvLW1OCIYz0EPyghhm4KdhiMOCC5x1BTMIKbA8pcKVgb +zWkY8KQRcG7iGMbX1LM7mrOjFlXsfj3N9CFYNuuJS2r2RO+vG0XY1XV8CmgB +bUiBQZxqQGfBaGrYHlBgZtF5I7OdycnipNE4gLznTFbu5YHppSp79ZT3lGUf +udBP92lgo79zaAooAW1NgUGcZUBnwWhqnGJAgZlCJWksSVo8/9HnD5U1iu3+ +QbUzR+MMODYsnLxbwGo91bJBEWbj6tRhKaAFtCcFBnGGAZ0Fo6lxmgEFAAAA +AAAAAAAAAAAAAAAAAAAAAACYIdQj1RnbNob4uAduzrkt5eTt0lmQgkOZBfWZ +BSkAAICCrLPwxF9itQbrzFu7OIqTv66bBSk4lFlQn1mQAgAASOCqcZVuGSqt +TwqJq0HrbeEczIIUHMosqM8sSAEAOA6uZGfDQnrr4Pu5NNqMOjEznwJbg2Ub +MMQAMEfAx9sKktYvcX1woXvojvw7JA0xsL5LBb80j1k7iuGYoDJvZ+Szr1Xa +34+VWJhaXF/KvzpE8DotfLSJf6ximPQXfPRSkHUU7d4SFeb7FG9VXGE3Qz9/ +V/afilkRa3gtmO0p0IQDg4UcavIjGGIAmCuM/52ZnFM1iCmEtTmvLFoQcLDN +crIqB3776J08Gis9XH63V3Bjp6cbA62lyYWN386K/eKi0GR647Lu8tIrg4qJ +w8JYd5vEYurTTEHeXfTd+V5M2775dMzTHibdcGxGKSiNC3XlGb+y0pYU6H6b +8w+WbaFgiAFgDqEYuHyxXz/5pTcTPJ6c6ks+hXr4XGzwDtq9KJBbS6MLw+9d +il0dr22VafjPvfwt3h7efhP4Lgvb22TeE5N2CmqFVL/DJW/ZtzriB/PuNbYk +0ntqT9bZ9JWmLdKQU6AJBwbLtlAwxAAwZxm9sdVnjfk78TUqwc/hSzeZ9KtU +jzYVpUSHhn+e8Unsi4E89+B4/vSr7ZEPd5TRiIXh936PWrqxXEjzeIeagkYt +rs1+OzqrRWYZCzEFRU9xSm6LuNOifSdiCjTh0mDZEIqcuTPEADDXwEUVH0bs +qrRoVDxaHeO58tsO0wMELjwf9ph7onZRqOwrecPNdX1xv36HgvJwpxT33ZVb +zFWKaCTCZM1f+vt93Ehz5YmWgmqkrjh1e6T3Qy7uWwnaIKKkgHUVphxvkxG2 +lkZLgSbcGiz0UAwlzuUhBoC5hXrk2oGdx1sInoQQ/bGOt6qgz2wCG3ddkVx/ +i/fM1L49xeFO0X00aIHbm9ctNl7Io5EIw9ozV3hOtrClAWoKWnBJ9adej4ef +GTL9YpQUhO35Kfkd2sU10YELLQWN9p7GyXdfCjdjQ8JV44M3xwYLORQpc2eI +AWAOgY+38dOON0gIZ4DkWrRH0Pfmu/LG83SsbtuSZV8163dHqJbiKlH9hStd +lscbsmikwuQt+/x9Esz7RZOBmsIkY7Xv+b9wdtjsu+mn0HAr/bmA5QE6fHku +9z/s5b8u+ebUsREtBZpwbLCQQzGW+CRcHGIAmDNg/54+nFszousDrR5p+vWc +wORJPaw9I8gv0XyCaefp8kO61suKzuzQ0AOthq18eet+5NvrxNEohEmqNnmH +8AU0H3SinwIu6+8ammwRg3UcffUDgg0fpBT0ELWPR0uBJhwbLORQDCTO9SEG +gLmBaqgs3vuBeffpmefin/6P2ZFAfic1OMT8jvTEPHVdtOGzb45kH/46ee9J +w01mxVDDubS1j8z32lVS1S5V01VBEI1SmLw1NTjiWA/t383QTQEX/bk98Anv +yMT0Ez8V/ljeKaO/cCcpyCQEBy7UFGjCrcFCDcVA4twfYgAA9KhFFbtfTzN9 +5NV4f8N+0KLhkpo90fvrRhE24WdBCjThVKZMCuNU4gAAMIO850xW7uWB6VWp +bp5mtjM562lGk/eUZR+50I/8q5RZkAJNuJMps8I4lDgAAIyBY8PCyW16jUrS +WJK0eP6jzx8qaxTbvZuOFk0tGxRhNq5FZ0EKNOFCpswK08OFxAEAAAAAAAAA +AAAAAAAAAAAAAAAAAIA5j3qkOmPbxhAf98DNObel9t5gZjYaAFgFLAcAsxFZ +Z+GJv8RqDdaZt3Zx1CWRM0UDAKuA5QBgVoKrxlW6taa0Pikkrob+izNnIBoA +WAUsBwAzAq5kZ1dCeuvg+7k02rmyEW2WwdYQo8IVnZOA5QAAEazvUsEvzWPW +5jmOCSrzdkY++1ql3S28p1D2n4pZEWt4C5laXF/KvzpE8AIyfLSJf6xiGOUX +lPh4W0HS+iWuDy50D92Rf8f4tdLWotEqCEV8G5F1FO3eEhXm+xRvVVxht/b1 +A+QFQYSNIbYlHQ5YkUoWWA4AGEM58NtH7+TRWM7h8ru9ghs7Pd3sb+E99d2C +0rhQV57xGzLHb2fFfnFRaDKHcVl3eemVQcXExBnrbpPQO0GN/52ZnFM1iCmE +tTmvLFoQcLANoxeNZkFI49uKvLvou/O9E0FUg6djnvYwdBoiKggirAyxDelw +wIqUgOUAgDHUw+dig3dUW7RRIwG5hTcVit5Te7LOpq807ciG37sUuzpe21x0 +6r/xt3h7ePtN4LssbG8TvS6iioHLF/v1U1d6M8HjyZcrxXSi0S0IWXzbUSuk ++i0qecu+1RE/GHoRWRSEANXgme2JNcSiWRpi5HQ4YEUrQeaU5QDAoagEP4cv +3WTS4VM92lSUEh0a/nnGJ7EvBvLcg+P5080AkA8I5NEUPcUpuS3iTotuofi9 +36OWbiwX0p0YlIJ1jN7Y6rPGvH0CMagFQY1vPaBaXJv9dnRWy3QPPBoFUfX+ ++MJG4ifAWBxipHS4ZEWwHAA4mNHqGM+V33aYWhwXng97zD1Ru2xS9pW84ea6 +vrhff31PeUBQivvuyi3cTBwN6ypMOd4mI+xkLWv+0t/v40Z610dWBGs/FVV8 +GLGrkl5ba9SCWIuPUpMJVCN1xanbI70fcnHfOt3zznpBKM5NrA0xYjrcsiJY +DgAciuiPdbxVBX1mO8vGfWok19/iPWPYiKY6ICi6jwYtcHvzusXWBEE0YXt+ +Sn6HduFGdEDA2jNXeG6uRnjWllywRj1y7cDO4y10bxujFoQ6PkpNxqY/xSXV +n3o9Hn5mSB+UtCBKwcl3XwrXsmbpwv8EhOj+uSHhqvFBi6UhRk6HY1YEyxlh +ZjkAsB/JtWiPoO+7zLYGjG08VrdtybKvmvWX+1SLVZWo/sKVLssZYxmt4Vb6 +cwHLA3T48lzuf9jLf13yzamZIm/Z5++TYN5emwoywfh4Gz/teIOE/rxBK4jV ++PRr0iwz/nys9j3/F84O6//OekEorpvYGWL0dDhmxTlvOQBwKFh7RpBforkF +tTZefkjXCVvRmR0aeqDVsDctb92PfAOaPJqGsJO1RlK1yTuEL0B4TIj4K7B/ +Tx/OrRnR9RpXjzT9ek5g/bEmlILYEp8iIC7r7xqa7PmDdRx99YPpDRbrBaE4 +N7E1xKjpcMyKc95yAOBY5HdSg0PM76lO2Nh10YbPvjmSffjr5L0nDXdNFUMN +59LWPjLfa1dJVbtUTfcrSKJNQnBAkLemBkcc60H5gQXBV6iGyuK9H5h3n555 +Lv7p/9CZx3QLYmt80oC46M/tgU94Ryamn/ip8MfyTtnUypdGQSjOTSwNMXo6 +3LLinLccADgYtahi9+tpps+1Gl/+2w9aNFxSsyd6f90o0vY1k4IdXxC0gDYV +xASnGmKKdJxKp8ZK5cFyAOBw5D1nsnIvD0yv23Q2zmxn8oBAM5q8pyz7yIV+ +uo/G2vIVtFQ4tCAoAW0siGUY5xhia+k4i06NValgOQCYCXBsWDi576xRSRpL +khbPf/T5Q2WNYrv3m9GiqWWDIgx1tcasYD0OKwhaQJsKQowzDDGddJxBpzWp +YDkAAAAAAAAAAAAAAAAAAAAAAAAAAADADtQj1RnbNob4uAduzrkttfceLbPR +AIAO4DoAmHXIOgtP/CVWa7DOvLWLo0h+XcpSNACgA7gOAGYfuGpcpVtoSuuT +QuJqEN7/6vhoAEAHcB0AzAi4koVdCemtg+/n0uiIyka02QcrQ2wDXNE5CbgO +ABDB+i4V/NI8Zm2e45igMm9n5LOvVTLQbFTWUbR7S1SY71O8VXGF3dpfq6vF +9aX8q0ME7/DCR5v4xyqGUX6EiI+3FSStX+L64EL30B35d4xfy2wtGq1qUMS3 +D2X/qZgVsYa3upHXBBFnH2I2dephoPLgOgBgDuXAbx+9k0djOYfL7/YKbuz0 +dGOgEba8u+i7872Ytpn46ZinPQytZMZvZ8V+cVFoMoFxWXd56ZVBxcSUGetu +k9A7QY3/nZmcUzWIKYS1Oa8sWhBwsA2jF41mNUjj24lSUBoX6sozfuMoUU1Q +ozr5ELOq0/DdDFQeXAcAjKEePhcbvKPaohMZCciNsMm+ViHVb8fIW/atjvjB +0L0Gv3cpdnW8tjmnHkUvf4u3h7ffBL7LwvY20WvEqRi4fLFfP2+lNxM8nny5 +UkwnGt1qkMW3E0XvqT1ZZ9NXmna4s6gJAarBM9sTa4h1O/sQs6xTh+2VNw4y +11wHAI5DJfg5fOkmkyaZ6tGmopTo0PDPMz6JfTGQ5x4cz5/uJYB8QKCMplGL +a7Pfjs5qmW5yht/7PWrpxnIh3SlBHV/L6I2tPmvMOxAQg1oN1PjUARU9xSm5 +LeJOi+6rNGpC0SODK0PMok7kyoPrAMDBjFbHeK78tsPU4rjwfNhj7onaNZOy +r+QNN9f1xf36i3vKA4JS3HdXbmFl0miqkbri1O2R3g+5uG+dbmoma/7S3+/j +RnrXR1bUaj8VVXwYsauSXsdo1GpYi49SEKyrMOV4m4ywM7j1mlCcm7gyxKzp +tKny4DoAcCiiP9bxVhX0mW0rG7d6kVx/i/eM4WYB1QFB0X00aIHbm9cttibI +o2nBJdWfej0efmZIP5uw9swVnpurER60pYivHrl2YOfxFrr3jFGrQR0fpSDC +9vyU/A7tSpboKEFaE6Xg5LsvhWtZs3ThfwJCdP/ckHDV+KDFlSFmSaeNlQfX +mWHmOgCwE8m1aI+g77vMtgaMbTxWt23Jsq+a9VsyVItVlaj+wpUuyxlDHm2S +sdr3/F84O6z/O3nLPn+fBPMO1VSQxcfH2/hpxxsk9GcMWjWsxqdfkIZb6c8F +LA/Q4ctzuf9hL/91yTenDu/Wa0Jx3cSVIWZHp82VB9cBgCPB2jOC/BLN/ae1 +8fJDun7Pis7s0NADrYbNbnnrfuQb0ETRcFl/19Bklxis4+irH0xv+EiqNnmH +8AUIDwgRq8X+PX04t2ZE165bPdL06zmB9WeaUKphS3zKgHoIOoPTqAnFuYkr +Q8yWzinQKg+uAwCHIr+TGhxifk91wsauizZ89s2R7MNfJ+89abgNqxhqOJe2 +9pH5XrtKqtqlarpfQRANF/25PfAJ78jE9BM/Ff5Y3imbWuXJW1ODI471oPy0 +giC+aqgs3vuBeffpmefin/4PnUlMtxq2xicNOA3BUYJGTSjOTZwZYnZ0ToNW +eXAdADgWtahi9+tpps+1Gl/+2w9CNFxSsyd6f90o0sY1k2odXw3kgDbVxASu +DLFT6dRYqTy4DgAcjrznTFbu5YHpdZvOxpntTB4Q6EST95RlH7nQT/e5WOT4 +9HBwNRAD2lgTyzDcGGJn0amxKhVcBwAzAY4NCyfvDWhUksaSpMXzH33+UFmj +2O7NZoRoatmgCENdpzGrVo/DqoEc0KaaEMOVIXYGndakgusAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAABmL+qR6oxtG0N83AM359yW2vsUBbPRAAAAgDmJrLPw +xF9itQbrzFu7OIrkJ+AsRQMAAADmJrhqXKW7vJHWJ4XE1SC8p9nx0QDAFFzJ +jUtxrugEWAesYhXprYPv59JoW8xGNIDLKPtPxayIJWu/ifVdKvilecza/MQx +QWXezshnX6tkoCGprKNo95aoMN+neKviCru1v2hXi+tL+VeHKF7yxYZOPaYF +ZEgqPt5WkLR+ieuDC91Dd+Tfodt4gQKHVZV5qXpQC0uTWWVp1ouPjzbxj1UM +I/1S2LIa9kQDZilKQWlcqCsvhvDcpBz47aN38misYXD53V7BjZ2ebgw0y5Z3 +F313vhfTNhw/HfO0h6F/zfjtrNgvLgoJXcuKTsN3WxaQAanjf2cm51QNYgph +bc4rixYEHGyz8y02jqsq41INX49WWLpRZ5elWS4+LusuL70yqJg4eY11t0no +DQxJNWyMBsxSFL2n9mSdTV9p3l9Mh3r4XGzwDrILKguQm2WToFZI9dso8pZ9 +qyN+MHS4we9dil0dr23g6Rw6dRAX0G6pioHLF/v1RxnpzQSPJ1+uFNsn1GFV +ZV7qZFi0wtJktlma3eIrevlbvD28/SbwXRa2t4lmq1ySatgYDZiVKHqKU3Jb +xJ2WvS+1qAQ/hy/dZNJIUz3aVJQSHRr+ecYnsS8G8tyD4/nT79xHnsiU0TRq +cW3229FZLdPN6vB7v0ct3VguNJvJLOokLSBDUnWM3tjqs8a8lYItanWfOqqq +zEpFLSxNZquldThf8VGrAQCTYF2FKcfbZIR9mbWMVsd4rvy2w9TruPB82GPu +idrFk7Kv5A031/XF/fprb8qJrBT33ZVbeJo0mmqkrjh1e6T3Qy7uW6eb08ma +v/T3+7jRbEHFmk6qAjIjVfupqOLDiF2VxH2vnaiqTEpFLyxNZqulNc5afMRq +AMAE8vb8lPwO7SqG7Nwk+mMdb1VBn5lvjNvBSK6/xXtmaruYYiIruo8GLXB7 +87rFd5BH04JLqj/1ejz8zJB+WmHtmSs8N1ebPV3Kkk4hZQGZkapRj1w7sPN4 +C/EdbqeqKnNSbSmsRnuH5OS7L4WbsSHhqvHRerZamvXik4JWDSvQGWKA88jv +pD8XsDxAhy/P5f6HvfzXJd8cM/4vkmvRHkHfd5ntERibbaxu25JlXzXrL8qp +FpkqUf2FK12WU4c82iRjte/5v3B2WP938pZ9/j4J5l2s2dHZcIuygExIxcfb ++GnHGySkM895qsqgVJsKS5PZaWlnLj5aNQDABIK+zDqw9owgv0RzI2rNtvyQ +rie0ojM7NPRAq2EHWd66H/nGMVE0XNbfNTTZRgbrOPrqB9OX/JKqTd4hfIHZ +cpItnVMQFdB+qdi/pw/n1ozo+o6rR5p+PSeg/QTWTFeVYalT0C8sTWajpZ27 ++GjVAAATyM5NE9dWqcEh5jdXJ8zmumjDZ98cyT78dfLek4Z7m4qhhnNpax+Z +77WrpKpdqqb73QTRcNGf2wOf8I5MTD/xU+GP5Z2yqTWVvDU1OOJYj8VvLNjR +OQ1BAe2Vqhoqi/d+YN59eua5+Kf/Q//h4BmtKuNSp0EoLE1mm6WdvvhI1QAA +uqhFFbtfTzN9mNP4It1+EKLhkpo90fvrRgmc7FQ6NSxLRQvIIakaSrU0cSqr +zIHiM64ZAPTIe85k5V4emF7A6cyW2c7kRKYTTd5Tln3kQj/pA7LOolPDulSU +gBySqrGulibOYpU5UXzGNQPANDg2LJzcHdaoJI0lSYvnP/r8obJGsd2bxAjR +1LJBEWZlweYMOtmWihaQQ1JpqqWJM1hlDhSfcc0AAAAAAAAAAAAAAAAAAAAA +AAAAAACA06Meqc7YtjHExz1wc85tqb23+ZmNBrAFuAIAAFaRdRae+Eus1mCd +eWsXR10SOVM0gC3AFQAAsAuuGlfpFrLS+qSQuBqEN2g6PhrAFuAKAEAEV3Jm +R4BDUieQ3jr4fi6NTqxsRKMDV6rNFZ2TcN0VAGAHWN+lgl+ax6zNWBwTVObt +jHz2tUr7e8Xi420FSeuXuD640D10R/4d/buR1eL6Uv7VIYoXdbEg1YCy/1TM +iljDi8WsSyWSRZj15EejTfxjFcNIv0yUdRTt3hIV5vsUb1VcYbfxb+5tiUYA +G9W2TApc4VyuAICZQTnw20fv5NFYSuHyu72CGzs93RhoTj3+d2ZyTtUgphDW +5ryyaEHAwTbDHBq/nRX7xUUh4fxhRarhuwWlcaGuPOOXXlJJJYQ0a1zWXV56 +ZVAxcXAb626T0Iso7y767nzvRATV4OmYpz2mG+LYFM0SVqpNkhS4wllcAQAz +hHr4XGzwDoKXjxOD3JyaGMXA5Yv9+hkovZng8eTLlWLDZ/i9S7Gr47UdMp1C +ql5w76k9WWfTV5o2WSOVShKEJGtFL3+Lt4e33wS+y8L2NtFsJ6pWSPWbU/KW +fasjftC3+bExmkV0dqpNkhS4wjlcAQAzhUrwc/jSTSadMNWjTUUp0aHhn2d8 +EvtiIM89OJ4//dJ85KlNGU3H6I2tPmuM2wDg936PWrqxXGg2t1mUqugpTslt +EXdaNAAlkWpL1jYJ030qrs1+OzqrRUYRAR2WjWGZFLgCKZpjXAEAM8ZodYzn +ym87TCcDLjwf9ph7onblp+wrecPNdX1xv34LgHJqK8V9d+UWq0WKaNpPRRUf +RuyqNOmmLGv+0t/v40azpR1rUrGuwpTjbTLC5tTEUm3KmgrSaKqRuuLU7ZHe +D7m4b2W0NRubxiBOClxBO5rDXAEAM4boj3W8VQV9ZvY1brYiuf4W75mpXWuK +qa3oPhq0wO3N6xa7K+TRNOqRawd2Hm8x6xKNtWeu8NxcbfacK0tShe35Kfkd +2gUp0VGIWKpNWVNCEU2j7ahT/anX4+FnhuhFVApOvvtSuBkbEq4aHxRZNgZB +UuAKlGgah7gCAGYMybVoj6Dvu8w2EYw9P1a3bcmyr5r1ewNUy06VqP7ClS7L +uUUWDR9v46cdb5BY/IG8ZZ+/T4J5J2p2pDbcSn8uYHmADl+ey/0Pe/mvS745 +dQQglmpT1pSQpznJWO17/i+cHWbuMMKmMQyYJgWuoB3NAOOuAIAZA2vPCPJL +NJ9FWs8vP6Rr6qzozA4NPdBq2MiWt+5HvpVMHA379/Th3JoRXYtr9UjTr+cE +U0+7Sqo2eYfwBWZrYfak6iHqWU8s1aaskYXhsv6uocleOljH0Vc/YHT3hq1q +kycFrqAVzaGuAICZQ34nNTjE/O7rhOddF2347Jsj2Ye/Tt570nCLVTHUcC5t +7SPzvXaVVLVL1XS/giCaaqgs3vuBeffpmefin/7P1HSUt6YGRxzrsfiNCDtS +pyE4CpFJtSFrZGG46M/tgU94Ryamn/ip8MfyThmzy2N2qk2eFLiCVjQHuwIA +Zg61qGL362mmz5Qa7xXYD1o0XFKzJ3p/3SjBnOKQVHaFMYJTVRtc4fhoAOB0 +yHvOZOVeHpheeuo8n9nO5AyiGU3eU5Z95EI/6UO03JHKnjDmcJZqgytmIhoA +OCM4Niyc3KTWqCSNJUmL5z/6/KGyRrHde9Vo0dSyQRFmZReCC1LZFMYszlBt +cIXjowEAAAAAAAAAAAAAAAAAAAAAAAAAAAAzi3qkOmPbxhAf98DNObelc+gH +G3M2cYBFwHUAQA9ZZ+GJv8RqDdaZt3Zx1CUR23pmjDmbOMAi4DoAoAmuGlfp +Vm/S+qSQuBqCN2jOUuZs4gCLgOsAzoIr2bnOl946+H4ujfams46ZT5ytIbYB +DknlFnN2ugHOBNZ3qeCX5jFrkxzHBJV5OyOffa2SqZbWGo2y/1TMiljD68jU +4vpS/tUhgjeR4aNN/GMVw6S/MaSVAj7eVpC0fonrgwvdQ3fk30FpR0CCrKNo +95aoMN+neKviCru1P9AnTwEtzpRmK4nThIUhJq629fpwwI1IUuew6wDAHpQD +v330Th6NBRIuv9sruLHT042pltbanjGlcaGuPONXZY7fzor94qLQZFbgsu7y +0iuDiok5ONbdJrGYMTRTGP87MzmnahBTCGtzXlm0IOBgm51ve5F3F313vnci +iGrwdMzTHobuOUQp2BLHeuI0YWWIyatNVR8OuBFR6px1HQDYhXr4XGzwjmqL +fmokILe0pkLRe2pP1tn0laat2fB7l2JXx2ubeU79N/4Wbw9vvwl8l4XtbTJv +J0o3BcXA5Yv9+uOC9GaCx5MvV4rtS0CtkOp3lOQt+1ZH/GBoI2SRgm1xrCVu +hGrwzPbEGuISsDPEVNUmrQ8H3Igqda66DgDsQyX4OXzpJpNWn+rRpqKU6NDw +zzM+iX0xkOceHM+f7gqAfDQgj6boKU7JbRF3WrQNxe/9HrV0Y7mQ5hxDTUHH +6I2tPmvMOyvYkoXuU3Ft9tvRWS3Tfd3IUkCNQxtV748vbCR+porFITZgUW2S ++nDIjeA6DaXrAMBORqtjPFd+22E6W3Dh+bDH3BO1KzBlX8kbbq7ri/v1F/aU +RwOluO+u3OKMQhwN6ypMOd4mI2xpLWv+0t/v40aKBZs9KWg/FVV8GLGrkrjb +NEoWE6hG6opTt0d6P+TivnW6jxtpCohx6EJxlGBtiKc+Jag2cX045EZwnQbO +TYAjEf2xjreqoM/MlMZ9YSTX3+I9M7UXTXE0UHQfDVrg9uZ1i0t8gmjC9vyU +/A7t2o3oaIC1Z67w3FxN8+lV1BQ06pFrB3YebyG+J42Sxdj0p7ik+lOvx8PP +DOHWUkCLYwWl4OS7L4VrWbN04X8CQnT/3JBw1fj4x9IQU1ebuD4cciO4jtp1 +AGAnkmvRHkHfd5ntMhg7eaxu25JlXzXrr/ipVqoqUf2FK12Wk88yWsOt9OcC +lgfo8OW53P+wl/+65JtTk0Xess/fJ8G8zzYzKeDjbfy04w0S0mlEP4tmk12Q +sdr3/F84O4xbSwEtDl0oVrDsDLGVahPXh0NuBNdp4LoJcCRYe0aQX6K5m7VO +Xn5I1xla0ZkdGnqg1bA9LW/dj3z3mTyahrCltUZStck7hC+gucOAkgL27+nD +uTUjum7c6pGmX88JaD8zRRQQl/V3DU2268E6jr76wfSuCHkKaHHoQnGUYG+I +KapNXB8OuRFcp4FzE+BQ5HdSg0PMb89OONl10YbPvjmSffjr5L0nDTdOFUMN +59LWPjLfa1dJVbtUTfcrSKJNQnA0kLemBkcc66H9Ww26KaiGyuK9H5h3n555 +Lv7p/9B/nJcgIC76c3vgE96Rieknfir8sbxTNrXspEgBKQ5tqI4S7AwxZbXJ +6sMhN4Lr4NwEOBa1qGL362mmT4oa7wDYD1o0XFKzJ3p/3SjCTHF8CmgBKVNg +XJh1ODTEINUUDrsOAOxH3nMmK/fywPQSUOfkzHYmjwY0o8l7yrKPXOin+5St +0d85NAWUgFZSYFwYLTg0xCDVCG67DgDsB8eGhZNbzxqVpLEkafH8R58/VNYo +tvs34WjR1LJBEWbj0z4OSwEtIGUKjAtDgENDDFJRAzqt6wAAAAAAAAAAAAAA +AAAAAAAAAAAAAADA2VGPVGds2xji4x64Oee2FF5SAzgRYE4AmKvIOgtP/CVW +a7DOvLWLo+Bnl4ATAeYEgDkLrhpX6daj0vqkkLgamq/jBYAZAMw558GVnLla +5pBUbiG9dfD9XBrdaWcWDg03h6RyDuc0J2ATWN+lgl+ax6zNFhwTVObtjHz2 +tUr7O43i420FSeuXuD640D10R/4d/RuY1eL6Uv7VIYpX6bEgVSPrKNq9JSrM +9yneqrjCbow5ncRFYABl/6mYFbGG98JZV0uEZdZTskeb+Mcqhu37FSe93MGZ +dEAdbjAnwAmUA7999E4ejWUGLr/bK7ix09ONgS7Y439nJudUDWIKYW3OK4sW +BBxsM/hr/HZW7BcXhYTeYkWqvLvou/O9mLYD9emYpz0MjW8Y0EleBPtQCkrj +Ql15xu8spVJLCEnWE6WVdZeXXhlUTBxVxrrbJLYeA+jkDs6kBeJwgzkBbqAe +PhcbvKPaoqkZCchdsIlRDFy+2K/3uvRmgseTL1eKDZ/h9y7Fro7Xtuh0Cqka +tUKq33+Rt+xbHfGDoWeP3TqpimAHit5Te7LOpq807ZFHqpYEkqwVvfwt3h7e +fhP4Lgvb20TRm1g1eGZ7Yg1JFWjkDs6kJxhtuMGcOijNCTgFKsHP4Us3mfTb +VI82FaVEh4Z/nvFJ7IuBPPfgeP50IwHkaUUZTcfoja0+a4ybDeD3fo9aurFc +aOZUlqWqxbXZb0dntUy3ZGNIJ3ERbJWq6ClOyW0Rd1r0byVRi5w1bWg3UCDO +HZxJJxrqcIM5J4HuHs7PaHWM58pvO0xthwvPhz3mnqhdxyj7St5wc11f3K+/ +PKacVkpx3125xdqHIpr2U1HFhxG7Kk3aOcuav/T3+7jRbNnDplTVSF1x6vZI +74dc3LdOt2BjRidJEWySinUVphxvkxH2FidWi541XWhOf7LcwZnWo6EPN5hz +Ejg3OT+iP9bxVhX0mQ2tcbcXyfW3eM9M7ehSTCtF99GgBW5vXre4UCaPplGP +XDuw83iL2X1WrD1zhefmarNnQFmWqtF2yKn+1Ovx8DNDOJM6SYpgg1Rhe35K +fod2XUk0/YnVomdtBaXg5LsvhWtZs3ThfwJCdP/ckHCV+NhGnjs401o0W4Yb +zIlgToBVJNeiPYK+7zK7XDf2w1jdtiXLvmrWXzdTLflUovoLV7osXUwWDR9v +46cdb5BY/IG8ZZ+/T4J5v2s2pRoYq33P/4WzwzhzOkmLgC614Vb6cwHLA3T4 +8lzuf9jLf13yzamJTKwWPWu6WF+aUuYOzrQSzabhBnPqhcN1k9ODtWcE+SWa +e0Lrh+WHdK2jFZ3ZoaEHWg2bvPLW/ci3cYmjYf+ePpxbM6Lrpa0eafr1nGDq +OSBJ1SbvEL7AbHHHllRc1t81NNkbB+s4+uoH0xsI9uukKIItUqcg6C1OohY9 +a7pYm/5Wcgdn0oymQRluMOckcG7iAPI7qcEh5vc5J/zgumjDZ98cyT78dfLe +k4bbj4qhhnNpax+Z77WrpKpdqqb7FQTRVENl8d4PzLtPzzwX//R/powvb00N +jjjWY/GLB3ak4qI/twc+4R2ZmH7ip8IfyztlUys0e3VSFsEWqdMQTH8ytahZ +04Zy+tPIHZxJI9okCMMN5tQB5yYuoBZV7H49zfR5S+PraPtBi4ZLavZE768b +JfCbU0llVSdyQAq1DtDGDE413BruOFMD5gRmC/KeM1m5lwem11I6P2S2Mzmt +aEaT95RlH7nQT/q4qrNIZVknYkArahnXxhjOMtwa1kecQ1IRA3LWnMDMgGPD +wskNXI1K0liStHj+o88fKmsU2/3LarRoatmgCLNyhe4MUlnViRyQUi3j2hjG +GYZbwx1nsi2VWbXObk4AAAAAAAAAAAAAAAAAAAAAAAAAAABgNqAeqc7YtjHE +xz1wc85tKbzqxZy5XJ+5nDsAAKwi6yw88ZdYrcE689YujoIfL5ozl+szl3MH +AIBdcNW4SrcgltYnhcTVELybc24zl+szl3MHnANcyY3Lda7o5CLSWwffz6XR +5pU5uDWaM18f52Eu5w4wDdZ3qeCX5jFrkx/HBJV5OyOffa2SgZadso6i3Vui +wnyf4q2KK+zW/uxbLa4v5V8dInqpFos69Sj7T8WsiDW8BIwhqfh4W0HS+iWu +Dy50D92Rf4e4EcFMqCXCcoCmZI828Y9VDNv7W0gOjSaRLPKxs1Yf8AYA0EE5 +8NtH7+TRWOfg8ru9ghs7Pd0YaCct7y767nwvpm2OfDrmaQ9DT5bx21mxX1wU +EjqbFZ2G7xaUxoW68oxfUMmA1PG/M5NzqgYxhbA255VFCwIOtjHzZhZEtYSQ +DNBEdWXd5aVXBhUTh7Wx7jaJrQchDo0mIaRjZ60+4A0AoIV6+Fxs8I5qi+5g +JCC3kyb7WoVUv0cjb9m3OuIHQ0cZ/N6l2NXx2i6XzqFTh6L31J6ss+krTRui +2S1VMXD5Yr/+iCO9meDx5MuV4plXSwLJACl6+Vu8Pbz9JvBdFra3ybJRKb3o +3BlNkiAkY2etPuANHarBM9sTa+gOPzAnUQl+Dl+6yaRxpXq0qSglOjT884xP +Yl8M5LkHx/On33GPfJSgjKZRi2uz347OapnuFobf+z1q6cZyodk8YVGnoqc4 +JbdF3GnRrJMhqTpGb2z1WWPeumAm1CIPEBNwaDSZHTvwxiTQogKwymh1jOfK +bztMfY8Lz4c95p6oXUgp+0recHNdX9yvvz6nPEooxX135RaLL9JoqpG64tTt +kd4Pubhvne4OJmv+0t/v40azRRdrOrGuwpTjbTLCRtLMSNV+Kqr4MGJXJXFn +aMeqpdJGPEAMwKHRpBamsTJ29iZuLT5XvQHnJsAqoj/W8VYV9Jl5y7hniuT6 +W7xnpraUKY4Siu6jQQvc3rxucaVOHk0LLqn+1Ovx8DND+imGtWeu8NxcbfYE +Kks6he35Kfkd2qUi0YxmRqpGPXLtwM7jLcR3ux2t1oo2jeUAWUEpOPnuS+Fm +bEi4anxw5dBoUgujHjtLwBt6b6xZuvA/ASFE3gCASSTXoj2Cvu8y2y8wNuRY +3bYly75q1l+4U61gVaL6C1e6LKcRebRJxmrf83/h7LD+7+Qt+/x9Esy7RrOj +s+FW+nMBywN0+PJc7n/Yy39d8s2pucmEVHy8jZ92vEFCOjsdrJZKmwHTAWIA +Do0mlTCrY2dn4rPXG3DdBFgFa88I8ks0N6XWkMsP6XowKzqzQ0MPtBp2meWt ++5HvShNFw2X9XUOTbVuwjqOvfjC9LSCp2uQdwheYLS3Z0jkFQSNpBqRi/54+ +nFszouvMrR5p+vWcgPbTWAypJQtFPkAMwKHRJA9ly9iBNyaBcxNgHfmd1OAQ +8xutE4Z0XbThs2+OZB/+OnnvScP9T8VQw7m0tY/M99pVUtUuVdP9CoJouOjP +7YFPeEcmpp/4qfDH8k7Z1LpL3poaHHGsx+L3FuzonIZgRtsrVTVUFu/9wLz7 +9Mxz8U//h/6DwkypJQ5FPkCMwKHRJA5l69iBN3TAuQmggVpUsfv1NNMHPo0v +5O0HIRouqdkTvb9ulMDtTqVTw7JU5IAUah2gzTocGk1mhYE3AIA+8p4zWbmX +B6YXczpDZrYzeZSgE03eU5Z95EI/6cOyzqJTw7pUxIBW1DKujRbcGU2G6wPe +AAD64NiwcHIHWaOSNJYkLZ7/6POHyhrFdt9kQIimlg2KMCv7A86gk22pzKpl +XBsCXBhNh9QHvAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAToR6pDpj28YQH/fA +zTm3pfC6Ga4C4wgAwCxC1ll44i+xWoN15q1dHAU/oOQqMI4AAMwmcNW4SrfI +ltYnhcTVELwfFOACMI7ArANXwvU/oJHeOvh+Lo3GtczBIeNxSOrMjyMA0Abr +u1TwS/OYtemEY4LKvJ2Rz75WyVR3bI1G2X8qZkWs4e1eanF9Kf/qENGLvVCk +4uNtBUnrl7g+uNA9dEf+HbodDCiQdRTt3hIV5vsUb1VcYTfmzFL1oBaWCMus +p2SPNvGPVQzb+3tMFoxHXHCGRpPhOWKL64g0kXvM2jjSy5rcJ3bAhIEBbqMc ++O2jd/JoLJxw+d1ewY2dnm5MdcfWNnQpjQt15Rm/eXL8dlbsFxeFhLOFptTx +vzOTc6oGMYWwNueVRQsCDrbZOV3k3UXfne/FtL2kT8c87WFoYeOMUg1fj1ZY +QkiynjCCrLu89MqgYuKIMdbdJrH1BMWK8cgLzsBoMivVBtcRQpqytXGkmTWp +T+yBCQMD3EY9fC42eEe1RXsyEpC7Y1Oh6D21J+ts+krTTmf4vUuxq+O1nTZt +lKoYuHyxXz/9pDcTPJ58uVJsn1C1Qqrfo5G37Fsd8YOhAY8TSp0Mi1ZYEkiy +VvTyt3h7ePtN4LssbG+TZbPUKVSDZ7Yn1hBXgR3jURXc7tFkViq664ghS9na +ONLOmkynHdhuYCrLAZxCJfg5fOkmk86Z6tGmopTo0PDPMz6JfTGQ5x4cz59+ +yT7yvCOPpugpTsltEXdadOHE7/0etXRjudDMgqhSdYze2OqzxrwngS1qdZ+K +a7Pfjs5qmW6u5pRSUQuLnDVtKFohsGg8AxYFZ2g0GZZK23XMegzZw6g+YdDA +xrKh+8ZsYbQ6xnPltx2mZsWF58Mec0/ULlCUfSVvuLmuL+7XX0lTzjuluO+u +3MI3xNGwrsKU420ywg7RsuYv/f0+bjRbyKFK1X4qqvgwYlclcctnFLUTqEbq +ilO3R3o/5OK+dbqZmvNJRS8setZ0oThQsGa8qU8JCs7MaDIpFcV1NqVMClrW +VnzicANPAeemWYPoj3W8VQV9ZmYybtoiuf4W75mpPWSKeafoPhq0wO3N6xbX +0wTRhO35Kfkd2lUSkQOx9swVnpurzZ5qRZWqUY9cO7DzeAvx4wUoao32z3FJ +9adej4efGcKdU6othUXP2gpKwcl3XwrXsmbpwv8EhOj+uSHhqvFBkSXjURec +mdFkWKqGrutsSpkUZA8T6LQhaxsNTMdyALeQXIv2CPrefIfY2DNjdduWLPuq +WX+lTrUmVInqL1zpsvS+ZbSGW+nPBSwP0OHLc7n/YS//dck3p0wub9nn75Ng +3rkaTSo+3sZPO94gIfUmfbXNJrsUY7Xv+b9wdhh3Sqk2FRY9a7pQLGLZMZ6V +gjMxmsxKNUDHdTalTApq1kQ60bO22cBTXwXXTbMFrD0jyC/RfLC1nll+SNcE +WtGZHRp6oNWwrSxv3Y98n5c8moawQ7RGUrXJO4QvMFuyoUjF/j19OLdmRNfA +Wz3S9Os5Ae3H34gC4rL+rqHJLjdYx9FXP5jetXA6qVPQLyx61nShOFCwZzyK +gts/mkxKRXWdTSmTQj9r233CoIENwLlp9iC/kxocYn53dMIzros2fPbNkezD +XyfvPWm44akYajiXtvaR+V67SqrapWq6X0ESbRICB8pbU4MjjvVY/JSBrlTV +UFm89wPz7tMzz8U//R/6T2YTBMRFf24PfMI7MjH9xE+FP5Z3yqYWgE4ndRqE +wqJmTRuqAwU7xqMsuL2jyaxUdNfZkDIFdLO2wycMGtgAnJtmEWpRxe7X00yf +IDW+1rYftGi4pGZP9P66UQKHO14qWkAOSdVQqnWANuuA8WyLNmPj6FRZa6wk +DsxO5D1nsnIvD0yvkHSeyWxn0oE0o8l7yrKPXOgnfcjVwVJRAnJIqsaqWsa1 +0QKMhxxtZsfRWbLWWB8gYLaCY8PCyS1jjUrSWJK0eP6jzx8qaxTb/SNstGhq +2aAIs7IucphUtIAckmpNLePaEADjMec6h4yjM2StoTdAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAgBOhHqnO2LYxxMc9cHPObSnc8QWcArAlAMxtZJ2FJ/4SqzVY +Z97axVHww0HAKQBbAsAcB1eNq3SrUml9UkhcDcErPAFgxgFbAlwDV3Lm8p5D +UieQ3jr4fi6N5qoACVwZbq7onARsCbAH1nep4JfmMWsTBscElXk7I599rdL+ +vrf4eFtB0volrg8udA/dkX9H/45itbi+lH91iOKFWSxINaDsPxWzItbwgi/r +UolkEWY9+dFoE/9YxTDpjxDpJS7rKNq9JSrM9yneqrjCboZ+vs9A4pZQlMII +NobbsoZgyzljS8CZUA789tE7eTTWRbj8bq/gxk5PNwb6TY//nZmcUzWIKYS1 +Oa8sWhBwsM1g2PHbWbFfXBQSTgZWpBq+W1AaF+rKM375JJVUQkizxmXd5aVX +BhUTU2ysu01i2ZuNXuLy7qLvzvdi2s7Up2Oe9jDprWMzTCRuCbkBjL6ZjeEm +qSHYck7YEnAi1MPnYoN3VFu0/SIBud80MYqByxf79RNAejPB48mXK8WGz/B7 +l2JXx2ubYTqFVL3g3lN7ss6mrzRtdkYqlSQISdaKXv4Wbw9vvwl8l4XtbTJv +60k7cbVCqt8tkrfsWx3xg3n3HRuwPXHV4JntiTUkoqkMoIel4SarIdhydtgS +4Aoqwc/hSzeZdKRUjzYVpUSHhn+e8Unsi4E89+B4/vTL65FnFmU0HaM3tvqs +MX4XP37v96ilG8uF5g3K2JOq6ClOyW0Rd1o04iSRakvW5KAmrlGLa7Pfjs5q +kVnGcnTixrLpdisgLgXLzrSsIdjSvsSdxJYAVxitjvFc+W2HqRdx4fmwx9wT +tesPZV/JG26u64v79RfKlDNLKe67K7ewBUU07aeiig8jdlWa9E6WNX/p7/dx +o9k6jTWpWFdhyvE2GWGTaGKpNmVNClriqpG64tTtkd4PubhvJejy5vDEp6B5 +biIrBZvOJK4h2NKOxJ3GlgBXEP2xjreqoM/MK8Z9VSTX3+I9M7VFTDGzFN1H +gxa4vXnd4hqfPJpGPXLtwM7jLWY3wrH2zBWem6vNHlplSaqwPT8lv0O7XiOa +C8RSbcqaFNTEteCS6k+9Hg8/M2T6HTOQuFJw8t2XwrWsWbrwPwEhun9uSLhK +fMAjLwXLztRY1hBsaVfiWpzBlkaQ2hJwAiTXoj2CvjffADa2xFjdtiXLvmrW +X4hTrfpUovoLV7osrU0WDR9v46cdb5BY/IG8ZZ+/T4J5O2h2pDbcSn8uYHmA +Dl+ey/0Pe/mvS745Nd2IpdqUNSmoiU8yVvue/wtnh813oByf+NRXWb1uoiwF +m840YFpDsKVdiU/Cui0BroC1ZwT5JZqPpdYSyw/pOjcrOrNDQw+0GnaN5a37 +ke/kEkfD/j19OLdmRNe1Wj3S9Os5wdSDWpKqTd4hfIHZiow9qXoImkSTSLUp +a1LoJ47L+ruGJrvcYB1HX/2AYPPE8YkbsHZuslIKtoabvIZgSxM4akuAM8jv +pAaHmN/8nLCE66INn31zJPvw18l7TxruZyqGGs6lrX1kvteukqp2qZruVxBE +Uw2VxXs/MO8+PfNc/NP/mZoN8tbU4IhjPRa/VGBH6jQEc4FMqg1ZU0A3cVz0 +5/bAJ7wjE9NP/FT4Y3mnjP4imMHEDVCem2iUgp3hJq8h2NLGxJ3LlgB3UIsq +dr+eZvqAqPGltP2gRcMlNXui99eNEhiYQ1KZFcapxBnDqbIGW1rCqcQBTiLv +OZOVe3lgegGks0RmO5MGoxlN3lOWfeRCP+kzrNyRyqwwDiXOJM6SNdiS9Nu4 +kjjAVXBsWDi5I6xRSRpLkhbPf/T5Q2WNYrs3btGiqWWDIszKsocLUpkVpocL +iTOPM2QNtqSAC4kDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMBZ1CPVGds2hvi4 +B27OuS2FhwMAAAAA1pF1Fp74S6zWYJ15axdH0XkNPAAAAAA4Flw1rtJdLEnr +k0Liagje9goAcxpcyZndBA5JBViEWz6R3jr4fi6NVrwAwAGU/adiVsSS9bHE ++i4V/NI8Zm1+4pigMm9n5LOvVdrf2RMfbytIWr/E9cGF7qE78u/oX1OsFteX +8q8OUbwziwWpBkxryJBU4jrYg6yjaPeWqDDfp3ir4gq7MeakEkRmANSq0oRD +PiGSRe4KfLSJf6ximPT3quA6OjjIdQAySkFpXKgrL4bw3KQc+O2jd/JoLMNw ++d1ewY2dnm4MdJ0e/zszOadqEFMIa3NeWbQg4GCbwXTjt7Niv7goJJx7rEg1 +fLdlDRmQSl4HG5F3F313vhfTtk0/HfO0h6HDDgNSSSLbB2JV6Ubljk8IIXUF +LusuL70yqJg4nI51t0ks2/iB6+jgGNcB6Ch6T+3JOpu+0rxXlw718LnY4B1k +F1QWIHedJpE0cPliv34+SG8meDz5cqXY8Bl+71Ls6nhtP0ynkKoXTFhDu6VS +1cE21Aqpfn9K3rJvdcQPhh489leVLLIdIFbVCNXgme2JNcSiOeQTkiAkrlD0 +8rd4e3j7TeC7LGxvk3kHWHAdLRgZI4ABFD3FKbkt4k7LPpJaVIKfw5duMmlK +qR5tKkqJDg3/POOT2BcDee7B8fzp99cjT2TKaDpGb2z1WWP8On783u9RSzeW +C817lLEnlbSGDEklroOtanWfimuz347Oapnu/caUVMvItupEraqJbPImHRzy +CbOuANfRiWaP6wAmwboKU463yQh7HGsZrY7xXPlth6k1ceH5sMfcE7VrCGVf +yRturuuL+/UXu5QTWSnuuyu3GFqKaNpPRRUfRuyqNGmfLGv+0t/v40azZSFr +UqlqyIxUkjrYpHYC1Uhdcer2SO+HXNy3Tvd6Y0IqcWSbdKJX1RiKcxOHfEIt +TGPFFfYmbi0+uA5wHPL2/JT8Du16gezcJPpjHW9VQZ/ZeBu3VpFcf4v3zNQ2 +L8VEVnQfDVrg9uZ1i+8gj6ZRj1w7sPN4i9m9WKw9c4Xn5mqzZ2RZkiqkrCEz +UknqYINao914XFL9qdfj4WeGcEalEkS2QactVdVobxScfPelcC1rli78T0CI +7p8bEq4aH1w55BNqYdSusARcZy2a3a4zwsx1ABryO+nPBSwP0OHLc7n/YS// +dck3TW4mSq5FewR9b76JazysY3Xbliz7qll/MU21yFSJ6i9c6bJ0Olk0fLyN +n3a8QWLxB/KWff4+CeYdodmR2nCLsoZMSCWtA7raZpM9j7Ha9/xfODuMMyeV +ODK6TpuqavJV5NdNHPIJlTCrrrAzcXAduusAR0DQ41gH1p4R5JdoPh7aYV1+ +SNe8WdGZHRp6oNWw8ytv3Y9845g4Gvbv6cO5NSO63tXqkaZfzwmmnhWSVG3y +DuELzFZV7EnVQ1RD+6VS1MEWtbisv2tostcN1nH01Q+m90DslUoe2RadU9Cv +qjEU5yYO+YQ8lC2uANfRSFyPba4DHAHZuWni2io1OMT8XujEsLou2vDZN0ey +D3+dvPek4Z6kYqjhXNraR+Z77Sqpapeq6X43QTTVUFm89wPz7tMzz8U//Z+p +ySFvTQ2OONZj8WsDdqROQ1BDe6VS1sEWtbjoz+2BT3hHJqaf+Knwx/JO2dRy +0l6p5JFt0TkNQlWNoDg3ccknxKFsdQW4zkq0aWxzHTCzqEUVu19PM30e1fhy +2H7QouGSmj3R++tGCUwIUk1BCDg7qkoTTmXEpDBwnc3R7Hcd4AjkPWeyci8P +TC9idMOa2c6kSWhGk/eUZR+50E/6SCtINYJ2wFlUVZpwJyOGXQGusyUaQ64D +HAGODQsnd3U1KkljSdLi+Y8+f6isUWz35itaNLVsUIRZWbqAVNSAs6yqNOFC +Roy7Qgu4jkXXAQAAAAAAAAAAAAAAAAAAAAAAAAAAAABAF/VIdca2jSE+7oGb +c25L4c49AAAAwDqyzsITf4nVGqwzb+3iKJKfHQMAAADADIKrxlW6iyVpfVJI +XA3BW2MBYK6DKzmzocAhqQCLcMgn0lsH38+l0dIXALiBsv9UzIpYsj6TWN+l +gl+ax6zNTxwTVObtjHz2tUr7m4Ti420FSeuXuD640D10R/4d/WuE1eL6Uv7V +IYp3WrEgVSPrKNq9JSrM9yneqrjCbow5ncRFYADT4WaqqpZ1YEEqTbjiEyJN +5K7AR5v4xyqGSX9MCq5zkFTAUSgFpXGhrjyid71OfDjw20fv5NFYieHyu72C +Gzs93RhoYD3+d2ZyTtUgphDW5ryyaEHAwTaD6cZvZ8V+cVFIOP1YkSrvLvru +fC+m7QN+OuZpD0NPGQZ0khfBPgiGmwG1JHWYUal0o3LEJ4SQugKXdZeXXhlU +TBxLx7rbJJY99sB1jpEKOAxF76k9WWfTVxL1FtSoh8/FBu8gu6CyALmBNYmk +gcsX+/VTQnozwePJlyvFhs/we5diV8dr+1U6hVSNWiHV7/jIW/atjvjB0HXG +bp1URbAD4uG2v6pkdZg5qUaoBs9sT6whFs0VnxBD5gpFL3+Lt4e33wS+y8L2 +Npm3ZwXXOUgq4DAUPcUpuS3iTuK+tyrBz+FLN5k0jVSPNhWlRIeGf57xSeyL +gTz34Hj+9PvlkScyZTQdoze2+qwxfl0+fu/3qKUby4XmPcTYlaoW12a/HZ3V +Mt3tjCGdxEWwVSrpcDOl1rIOMyXVRDZ5jwyu+IRZV4DrHCQVcBRYV2HK8TYZ +aU/20eoYz5Xfdpi6ExeeD3vMPVG7hlD2lbzh5rq+uF9/sUs5kZXivrtyi6Gl +iKb9VFTxYcSuSpP2xrLmL/39Pm40WxmyKVU1Ulecuj3S+yEX963T3c2Y0UlS +BJukUg03E2qJ6zBDUo2hODdxxSfUqjRWXGFv1tbig+sAhyJvz0/J79CuF8jO +TaI/1vFWFfSZjbdx6xPJ9bd4z0xt81JMZEX30aAFbm9et/gO8mga9ci1AzuP +t5jdjsXaM1d4bq42e0yWZakabY+X6k+9Hg8/M4QzqZOkCDZIFVION0NqCeow +Q1I12hsFJ999KVzLmqUL/xMQovvnhoSrxsdXrvjEShxKV1gCrnOQVI2x64ww +cx2AhvxO+nMBywN0+PJc7n/Yy39d8k2Tm4mSa9EeQd+bb+IaD+tY3bYly75q +1l9MUy0yVaL6C1e6LM1OFg0fb+OnHW+QWPyBvGWfv0+CecdmNqUaGKt9z/+F +s8M4czpJi4AuteEW5XAzU1WiOsyQVJOvIr9u4opPqOJYdYWdWYPrbHId4AjI +erJj7RlBfonm46Ed1uWHdH2aFZ3ZoaEHWg07v/LW/cg3jomjYf+ePpxbM6Jr +g60eafr1nGDqcSFJ1SbvEL7AbFXFllRc1t81NNndBes4+uoH07sK9uukKIIt +UqcgGm571ZLXYYakGkNxbuKKT8hV2eIKcJ2DpAKOhuzcNHFtlRocYn47dGJY +XRdt+OybI9mHv07ee9JwT1Ix1HAube0j8712lVS1S9V0v5sgmmqoLN77gXn3 +6Znn4p/+z9T8kLemBkcc67H4tQE7UnHRn9sDn/COTEw/8VPhj+WdsqkFmr06 +KYtgi9RpCIbbXrXkdZgxqUZQnJs44xPiOLa6AlznIKkAa6hFFbtfTzN9JNX4 +cth+0KLhkpo90fvrRglM6FRSWdWJHJArVdVQSqWJU2VEmQ6TqsB1psy06wBH +IO85k5V7eWB6EaMb1sx2Jk1CM5q8pyz7yIV+0qdanUUqyzoRA3KlqhrrUmni +LBlZSYdhV4DrjGDBdYAjwLFh4eSurkYlaSxJWjz/0ecPlTWK7d58RYumlg2K +MCtLF2eQyqpO5IBcqSpNqTRxhowo02HcFVrAdQ6SCgAAAAAAAAAAAAAAAAAA +AAAAAAAAgIB6pDpj28YQH/fAzTm3pfbej2Q2GgDQAVwHALMOWWfhib/Eag3W +mbd2cRTJjylZigYAdADXAcDsA1eNq3QLTWl9UkhcDcHrMNmLBgB0ANcBgOPB +lexsSUhvHXw/l0ajUjaizTLYGmIb4JBUDbgOANDA+i4V/NI8Zm2S45igMm9n +5LOvVdrdAFT7luOCpPVLXB9c6B66I/+O/hXBanF9Kf/qEMH7qvDRJv6ximGk +H9zJOop2b4kK832KtyqusNv4x9/WotErCHl8O1D2n4pZEWt4ixd5QRDhwBCz +KNUAE8UH1wEAMygHfvvonTwaazlcfrdXcGOnpxsDzanH/85MzqkaxBTC2pxX +Fi0IONhmmGTjt7Niv7goNJnAuKy7vPTKoGJi1ox1t0nonaDk3UXfne/FtL25 +T8c87THd58VaNJoFIY1vD0pBaVyoK8/4DZNEBUGN6vxDzKpUw3czUHxwHQAw +g3r4XGzwDoKXjxOD3JyaGMXA5Yv9+kOV9GaCx5MvV4oNn+H3LsWujtf2ojT8 +517+Fm8Pb78JfJeF7W2i2XRSrZDqt3vkLftWR/yg7wRjLRrtgpDEtwdF76k9 +WWfTV5p2NLMoCAGqwTPbE2uIRXNgiNmVqhdsc/GNmVOuAwDHoRL8HL50k0lD +SPVoU1FKdGj45xmfxL4YyHMPjudPvzse+WhAGU3H6I2tPmuMX4WP3/s9aunG +ciHtwwHlV6jFtdlvR2e1yCgiGIFaENT4FNEUPcUpuS3iTotumzQKQtEPgkND +zKJU5OKD6wDAkYxWx3iu/LbDdPGFC8+HPeaeqF0zKftK3nBzXV/cr7+4pzwa +KMV9d+UWVqaIpv1UVPFhxK5Kk9bFsuYv/f0+bqR5fUT1FaqRuuLU7ZHeD7m4 +b6XXcQytIFbioxQE6ypMOd4mI+wEbb0gFOcmDg0xa1JtKj64DgAch+iPdbxV +BX1m/jZuayK5/hbvmaltbYqjgaL7aNACtzevW+xLkEfTqEeuHdh5vMWsWTLW +nrnCc3M1woO2FF+h0fZdqf7U6/HwM0M0loCoBaGIj1IQYXt+Sn6HdiVLdJQg +LYhScPLdl8K1rFm68D8BIbp/bki4anwe4NAQsyTVxuKD64wxcx0A2InkWrRH +0Pfmm9bGNh6r27Zk2VfN+s0DqpWqSlR/4UrXuIVByaLh4238tOMNEos/kLfs +8/dJMO/GTAW54EnGat/zf+HsMI25g1oQqvj0C9JwK/25gOUBOnx5Lvc/7OW/ +Lvnm1IHIekEorps4NMTsSLW5+HPedQDgOLD2jCC/RHP/aW28/JCuDbOiMzs0 +9ECrYadb3rof+e4zcTTs39OHc2tGdC2u1SNNv54TTD0OK6na5B3CFyA8I0T0 +Fbisv2tosuMK1nH01Q/o7a7QL4ht8cmiTUHQCZpGQSjOTRwaYvak6kEr/px3 +HQA4EPmd1OAQ49vUWiZs7Lpow2ffHMk+/HXy3pOGe7CKoYZzaWsfme+1q6Sq +Xaqm+xUE0VRDZfHeD8y7T888F//0f6aOW/LW1OCIYz0ov64g+Apc9Of2wCe8 +IxPTT/xU+GN5p4zmhgPdgtganzjaNARHCRoFoTg3cWmI2ZE6DVrx57zrAMCR +qEUVu19PM32o1fjy337QouGSmj3R++tGkfaumRQ8KwpiAocy4pBUcB0AOBp5 +z5ms3MsD04s2nY0z25mcFDSjyXvKso9c6Ef90QazgmdBQSzDcCYj7kgF1wGA +w8GxYeHkLrZGJWksSVo8/9HnD5U1iu3ebEaLppYNijDUpRqzgvVwuSDEcCgj +LkgF1wEAAAAAAAAAAAAAAAAAAAAAAAAAAAAzjnqkOmPbxhAf98DNObel9t7Z +ZTYaANAEjAcAswtZZ+GJv8RqDdaZt3ZxFMnPUlmKBgA0AeMBwCwDV42rdKtM +aX1SSFwNwotjHR8NAGgCxgMA2uBKLu0sSG8dfD+XRh9VNqLNMrhlDG4BxgPm +JFjfpYJfmsesHVlwTFCZtzPy2dcqmeqCrdEo+0/FrIg1vMhLLa4v5V8dQnuH +Fz7eVpC0fonrgwvdQ3fk3zF+AzM+2sQ/VjGM9NNFWUfR7i1RYb5P8VbFFXYb +/4zeWjR6ZSSPbwcMlJEIFoxBPJrWM6IllcIq9sFE/cF4AGCCcuC3j97Jo7Ek +w+V3ewU3dnq6MdUFW9sJpjQu1JVn/JLJ8dtZsV9cFNI/nYz/nZmcUzWIKYS1 +Oa8sWhBwsE0/7XBZd3nplUHFxJQZ626T0Iso7y767nwvpu1yfjrmaY/pjjnW +otEsI2l8e2CijARR2TAG6WhSZkRTKnlw+2Ci/mA8ADBBPXwuNnhHtUUnMhKQ +u2BToeg9tSfrbPpK06Zm+L1Lsavjtf056QUZuHyxX3+Ikd5M8Hjy5UrxZHD+ +Fm8Pb78JfJeF7W2i2b5TrZDqd6bkLftWR/yg76ljLRrtMpLEtwfby6gaPLM9 +sYZYNDvGIBtNLaQZ0ZVKFdwezUzYeG4ZDwCsohL8HL50k0mTTPVoU1FKdGj4 +5xmfxL4YyHMPjudPv08f+RBEHk3RU5yS2yLutGi4id/7PWrpxnKhubkphekY +vbHVZ415pwFkYbpPxbXZb0dntcgoIhiBWkbU+EyW0Vg2eWcNFo1hwGI0STJC +Lj5hcFvVMmzjuWE8ALDKaHWM58pvO0ynKC48H/aYe6J26aPsK3nDzXV9cb/+ +Gp3yEKQU992VWziSOBrWVZhyvE1G2Axa1vylv9/HjZZXOhTCtJ+KKj6M2FVJ +uzM0aTTVSF1x6vZI74dc3LfS692GVkYr8R1exikozk2sGWPqU4LRJM4IVSpJ +cJvUMmvjOWM8ALCK6I91vFUFfWY2NW71Irn+Fu+Zqd1pikOQovto0AK3N69b +bC8QRBO256fkd2jXX0TextozV3huriZ4XpZcmEY9cu3AzuMtKLe3KaJptB1s +qj/1ejz8zBCNiKhlpIg/A2VUCk6++1K4ljVLF/4nIET3zw0JV40P1SwZg3o0 +iTNCLj6lVVi2sWZuGM8IM+MBwCSSa9EeQd+b7z0bu3GsbtuSZV816/cAqJbH +KlH9hStdljPeMlrDrfTnApYH6PDludz/sJf/uuSbU9NH3rLP3yfBvEM1lTB8 +vI2fdrxBguZx8jQnGat9z/+Fs8M0gqKWkSr+DJRx6qvIr5vYMYaV0STOCE2q +VauwaGMDs954AGAVrD0jyC/R3EZaNy4/pGuhrejMDg090GrYsJa37ke+5U0e +TUPYDFojqdrkHcIXEOxpEIfC/j19OLdmRNeWWz3S9Os5Ab3Hr4ii4bL+rqHJ +3jVYx9FXP6C3tUK/jLbFJ89dD1oZDVCcm9gzBsVoEmeEItVWq1DmrmHCxnPK +eABgHfmd1OAQ83vCE250XbThs2+OZB/+OnnvScOtVMVQw7m0tY/M99pVUtUu +VdP9CpJokxB4W96aGhxxrIfoRxIEoVRDZfHeD8y7T888F//0f2gebwii4aI/ +twc+4R2ZmH7ip8IfyztlNK/E6JbR1vjE0aZBK6MBinMTS8agHE2yjOhKtcMq +5LlPYreN55bxAIAGalHF7tfTTJ9NNb6Ktx+0aLikZk/0/rpRwrnDpjBqOFVG +WnAoI8dLRQ44Yzbm0DABACrynjNZuZcHptdeOjdmtjPpbZrR5D1l2Ucu9JM9 +2sueMBpwp4x04VBGDpaKGHBGbcylYQIAVHBsWDi5Ga1RSRpLkhbPf/T5Q2WN +Yrv3jNGiqWWDIoxsxcWmMJpwoYxocCgjh0llVi0YDwAAAAAAAAAAAAAAAAAA +AAAAAAAAAOAU6pHqjG0bQ3zcAzfn3Jbae1eY2WgAW4ArAABgFVln4Ym/xGoN +1pm3dnEUya9aWYoGsAW4AgAAdsFV4yrdQlZanxQSV0Pwmk/2ogFsAa4AgBkB +V8I+ghWktw6+n0ujYywb0ejAoSHmkFSuuwIAZhys71LBL81j1iY5jgkq83ZG +PvtaJVM92TUaZf+pmBWxhvdxqcX1pfyrQxSv4qIlFR9vK0hav8T1wYXuoTvy +76D0zSBB1lG0e0tUmO9TvFVxhd0YpVR8tIl/rGLYlp89mlbD3mjGsDDExKPA +0BAz7EaU8aXSRG48p3QFADgzyoHfPnonj8YCDJff7RXc2OnpxlRPdm1Dl9K4 +UFee8bsix29nxX5xUUg462hKHf87MzmnahBTCGtzXlm0IOBgm51vb5F3F313 +vhfTNjE/HfO0h6EbDpFUXNZdXnplUDFxcBvrbpMgHTwsq2FPNOPAbAwx+Sgw +MMTMSkUYX0pIU3ZKVwCAU6MePhcbvKPaoqEYCcitt6lQ9J7ak3U2faVpbzL8 +3qXY1fHaNps2SlUMXL7Yrz8oSG8meDz5cqXYPqFqhVS/cyRv2bc64gdDvxwL +qYpe/hZvD2+/CXyXhe1tQmn9aVkNe6IZq2dliKlGwe4hZlYq/fGlhixlp3QF +ADg3KsHP4Us3mfS6VI82FaVEh4Z/nvFJ7IuBPPfgeP70a/GRjwbk0RQ9xSm5 +LeJOi76Z+L3fo5ZuLBeatz5DlKpj9MZWnzXmLQRsUav7VFyb/XZ0Vst0nzYS +qTbEJ62G3bA4xAYsRoGhIWZYKv3xZdZ4bLgCAJyc0eoYz5XfdphOIVx4Puwx +90TtelHZV/KGm+v64n79xgHl0UAp7rsrtzhME0fDugpTjrfJCHs6y5q/9Pf7 +uNFsQYgqVfupqOLDiF2VxC2fUdROoBqpK07dHun9kIv71um+bMRSKUCvhr2w +NsRTnxKMAjNDzKRUxPG1w3gEzLwrAMDJEf2xjreqoM9sy9q4Y4vk+lu8Zww7 +8FRHA0X30aAFbm9et5hCBNGE7fkp+R3atSHRvMPaM1d4bq42ezoWVarm/2fv +7eOiqNf///yrR1ofMyNFowJBQBRQ8ogBkprFEW+K8hMa+ntYppGAoamF1uno +4XiD3FiYfkHsqLgpyjeTryDm0URUQBJBDJC4FRYQ1r2BZXd2d2Z/7LILezMz +O7M7y87C9fzLB+tc+7pu3jPvec/s+0IFt/bEZlTjvwlBR23P4KeYqHir24Tg +nE6MTCoZtKNBhpx79uN3gg1YHHVT96RooxSTZ4GZFDMsVUknv+YWHj5DXhUA +wHJEt8Jc/H5sNFh60B0pPXfXT53+bZVmnYNspqrgl12+3mg8Io2tld9PeNNn +ho+aaU6jn37ezXv+pnsDpwhp9S5vzyjDRtP0pGK9tZx9GeUiwuFIXW2VRPfz +ntJPvBdd7MLIpJJBOxqWYpsUm8gCEylmVqoWqvk1u/BwGfKqAACWg9Ql+nlF +G4491UiZcUDdr1rWkBoYuKdGu5gurdlN++kzsTUlbk9npahopXsAh2swfaYj +FXl0ITmtRKDuDo4KKs/ncSm/qYdnEJO0NXb296VB6o8s/2xwzQdfKl37A+BF +w1Jsl2KSLFieYialmpNfZgtvyKsCANiO9GG8f4DhM9u+keIwcfG2vQdTk7/b +tPOs9jGvrLM8b9+8F8a4bckqqhOjVL+CwFo/OONOWhPvv/Bos9EvS6hKVXTm +Rro/M+opDaNGeyf8Rf0lchyDGP/GBt9J7iHRCcdOZZ7Ib5AMzImJpNKzP4hV +zkK2STFpFixNMbNSzcovs4U39FUBAGwH5Rdsf2+f/puouisMlkPPGiYq2RG2 ++243zpqI9aXSM0gilRH7TAEpNs8aaX5tGUAAGCFIm3NS0q61D85W1SMlqY7J +cUfRmrQ5N/Xg5TbCV2+tLJWOQVNSLbXPKJBi2tZM6LRdAAFgJIEhXbz+BXel +QlSRFTNlzItvHcitEFr8m3N61lBJBx8xcRtiNan0DFKRaol9xoEUM5dfWwYQ +AAAAAAAAAAAAAAAAAAAAAAAAAAAAANgOKihOXL8kwNPZd9WhB2JLt5Vh1hoA +MAKUJQDYG5KGzGN/CFEl0pA+b0roVT6brAEAI0BZAoDdgSl6Fep5pLgsJmBd +CY1dY61vDQAYAcoSGBIwuX3ck9uLzn7E9/d/mkah36strDGFHWXEjqTaEews +S4DFIK1XT/5S1WNqNGIItzA9NuT1dwsZ6HsrqT+9fXVo0LSXnWavy2xS/SAe +FZZlc252kmxOZwudGuRt58JnRmj3NDMtFU9Wb+3JmAVTHZ4d5xy48fhD3S2y +se5KztGCLnN+d6kvzFJrlNTqYIOM4AtjZ/FYrcipZcfaUkmwVlkCIwl5+69f +rEmnMJnBpI9buHdiXR0Z6IItbTr9w6WWvhGg6LgQ/oqLtvdN74OUiK+v8HDL +1yY6td/NzV4X6OCku98mmVRcev9M2nSoqAOR8UoPLZs41md/rWaHGkzSlJ99 +vUPWdzboaaoV0Rq7xsIssUZFre6X2yIjxMJYVzzWK3Iq2bG2VDKsVpbACALt +yovw30h5j2PaXbCJvlYm1iyaSKt3zVl4WNuzB3tyNWJOpKr/Jzt0qpG1nNuR +cjFhln5/N0KpBEbar11p05xBxPeiXCYvLRT2G+esdndx9+pj2vSgnZXUW+ji +CaNhTdGRsyG6hCCgRGp1sE1GyISxrXisVuQUsmNtqaTyrFaWwAhCwf052GOl +XndQtLvydFxYYPBXiV9GvO3r5OwfyRncsp/2sCW1pkSFpakfhaVUD3Z3w578 +FuqxJJ9nMBhsqFPWfCYurVrYYNR7lECqCZdVdN9Z6znXsBUEc8KooWg5sWgJ +lVem8NXauHJwhbGveNSfWqvI8YMwJFJZUJbAMKe7ONx11vf1+pWN8S4FveQc +rZotyVuz3nd0WHCmTXMTTjps5cLWx1KjGRahNYXg7pn4DSHuz412XjvYzU1S +9Y231+YKg5mVzXQijZlxGbUS3L7Y+FLJhak+5Rd8vnBLIeUO2fSFUYLiSYBI +rS0rh1AYy4pHad0iJwjCUEgltDNUZQkMe/i/z3eafbLVYPlXt5uM6PaHTq9p +15/Jhq2s6YjfWMcVt43KkdiaCkxUvNVtQnBOp2YQIXVJM11XFRu8Zmojnby6 +43HH61XzQbyxhi/VhMuo4Nae2IxqOk+vaQsjQ849+/E7wSrmeowb7xOg/ufi +qJv4pzditTauHHxhrCoeqxc5eS1ZVSqBnaEqS2AEILoV5uL3Y6PBioBu1fXc +XT91+rdVmrt8simlgl92+Xqj8UAhttZPT+kn3osudmmOk1bv8vaMMuzLbRud +5fcT3vSZ4aNmmtPop593856/6d7AQMaXSiYM663l7MsoF9EbcLSFUcL0BJVU +rS0rh1AYm4rH2kVuspasKRXfztCUJTAyQOoS/byiDStPVXUzDqj7ScsaUgMD +99Rol6SlNbtpPybGs4ZJ2ho7+9vjIPVHln82uIYgKlrpHsDhGkwebaVzALy+ +2PhSiU0hjy4kp5UI1O3DUUHl+TwutberaAujhKmTgAm1tssIiTB2FY81i9zc +WmJIKrEwDVYrS2DEIH0Y7x9g+Ci1r+ocJi7etvdgavJ3m3ae1T4slXWW5+2b +98IYty1ZRXVilOpX4FjD+Dc2+E5yD4lOOHYq80R+g2RgcietifdfeLTZ6EcV +ttE5CM5YI5KKb0rRmRvp/syopzSMGu2d8BfF0wldYdQgPQlQUGubjJAKY1fx +WK/ILaglpqTi2xkErk2AxaD8gu3v7dN/q1P3bt1yaFjDRCU7wnbf7cZZp2CV +TiWpVNsKGzLsKCOskmpTnfQMDmGRAwAO0uaclLRr7YPTNXXVJdUxOWypWJM2 +56YevNxG+DosW3QqTUq1nbChxX4ywhqpNtZJx+CQFjkA4IMhXbz+5WalQlSR +FTNlzItvHcitEFr8+20a1lBJBx8x8ZYAG3SakmpLYUOPPWSERVJtqpNBqWwv +SwAAAAAAAAAAAAAAAAAAAAAAAAAAAACgCiooTly/JMDT2XfVoQdi2FAGsDpQ +cgAAmELSkHnsDyGqRBrS500JhZ9IAlYHSg4AAJNgil6FeuYqLosJWFeCswMo +ADAKlBxAGUxuN/fVdiTVvhDf3/9pGoU2ssxhL6m0F512x9CXHMACkNarJ3+p +6jE1qDCEW5geG/L6u4WW95PFemtPxiyY6vDsOOfAjccfanZLRoVl2ZybnXi7 +d9lOqhZ527nwmRHaLcIYkoofB0uQ1J/evjo0aNrLTrPXZTYhlKSSoO91v+bu +Ss7Rgi5Lf3Fpi1SaExwoOVPYTckB9oW8/dcv1qRTmJBg0sct3Duxro4MtKvu +/TNp06GiDkTGKz20bOJYn/212q1Peh+kRHx9hYdbhTaRqv1ubva6QAcn3e0r +GZBKHAczkTad/uFSC6LqbX0h/BUXbWseMqlkGHuNSZrys693yPrOPz1NtSJz +zxY2SaUZwYGSM4m9lBxgZ6BdeRH+GynvF0y7XTU+svZrV9o0Q0J8L8pl8tJC +ofYz7MnViDmRqnaarJCqEdxybkfKxYRZ+u3SLJZKFgfzQGVizaKStHrXnIWH +td2ACKWSyjPyWtbCWe3u4u7Vx7TpQTsrjduhDqDoyNkQXYIfAhulknZwoOQo +wJ6SA4YTCu7PwR4r9Xpjot2Vp+PCAoO/Svwy4m1fJ2f/SM7g9ve0Rx+pNTXd +d9Z6ztVtDIA9+S3UY0k+z6CmbShV1nwmLq1a2GDUypMhqfhxMFet+lNhaepH +YSnVg03jCKSa4zU1SJod2LjqKAcHSo6iWvWnti85YDjRXRzuOuv7ev3qxHiX +gl5yjlbNeOStWe87Oiw406a5kSYdfXJh62Op0SyJxJrqU37B5wu3FOq1XpZU +fePttbnCYIJkM6lIY2ZcRq0Et800M1IJ4mCW2j4Ugrtn4jeEuD832nntYJM4 +fKlmeU0JkmuTLauOTnCg5CipVbKl5IDhBP/3+U6zT7YaLOHqdmYR3f7Q6TXt +GjLZ6JM1HfEb67jitlFJEVtTooJbe2Izqg0exyJ1STNdVxUbvC1qI6m8uuNx +x+tV0zq8IcOMVII4mKFWp/81Jire6jYhOKcTI5NqltdkyLlnP34nWMVcj3Hj +fQLU/1wcdVP3FGjjqqMcHCg5CmrZVHI6GJQcYHeIboW5+P3YaHBXr1s5PXfX +T53+bZXmTp1sZqjgl12+3mhc7ETWsN5azr6McpHRAdLqXd6eUYa9qW0jtfx+ +wps+M3zUTHMa/fTzbt7zN90bGI9MSCWMA321VRLdz3tKP/FedLELI5NqlteU +ILlvsmXVaaESHCg502rZVHLAcAKpS/TzijasHlXlzDigbvMsa0gNDNxTo11W +ltbspv20F98a8uhCclqJQN30GhVUns/jDrwuJCpa6R7A4RrMAW0nVQNem2nL +pZLEwRy1mKStsbO/6w5Sf2T5Z4MLLPhSzfKaEiTXJlulkm5woOSoqGVPyQHD +CunDeP8Aw8ehfZXjMHHxtr0HU5O/27TzrPaBp6yzPG/fvBfGuG3JKqoTo1S/ +AseaojM30v2ZUU9pGDXaO+GvgfEhrYn3X3i02ei3EbaROgjOkLFUKmkczFGL +8W9s8J3kHhKdcOxU5on8BsnAzJdIqhleU4Pk2mSjVNIPDpScabUsKjlgeIHy +C7a/t0//zUzdO27LoWcNE5XsCNt9txtnuQGk6kPDIIlUKwgzDatSCSVHGTsu +OcAekTbnpKRdax+ccqkrJ6mOydFH0Zq0OTf14OU2wrdaQaoOlA2akMq4MEqw +JZVQcjSw75ID7BEM6eL1LxkrFaKKrJgpY15860BuhdDi32DTs4ZKOviIibdr +QCpdg6RSGRdGAzakEkrOGmpZW3IAAAAAAAAAAAAAAAAAAAAAAAAAAAB2DCoo +Tly/JMDT2XfVoQfiEbR3yQhxfIS4ictI9h0A7BxJQ+axP4SoEmlInzcllOAH +oMOREeL4CHETl5HsOwDYO5iiV6GeUIrLYgLWleBsNjlMGSGOjxA3cRnJvgMA +KZjcbtYRxPf3f5pGoWnpsGPoHbdJVYzY/CpHtu/AiAFpvXryl6oeUycXDOEW +pseGvP5uIQOdPSX1p7evDg2a9rLT7HWZTaofiKPCsmzOzU687bdINPXWnoxZ +MNXh2XHOgRuPP9TdORnrruQcLegi/HEfJa9J7JsJQ45rkbedC58Zod9+zoTj +FGF7VbA0vxr088LSFAMAm5G3//rFmnQKEzBM+riFeyfW1ZGBrtPSptM/XGpB +VJ27L4S/4qLtAtP7ICXi6ys86kOu98+kTYeKOhAZr/TQsoljffbXarZBwSRN ++dnXO2R9p4WeplqRkUWKXhPaNxemHNcg52avC3Rw0tkY05TjVA2zvCrYml/t +1xvlhX0pBgBWg3blRfhvpLznL+2u00RfKxNr1oCk1bvmLDysbTyDPbkaMSdS +1Q+TErL2a1faNGcT8b0ol8lLC4Xqv7dwVru7uHv1MW160M5Kw86bVL0msm8+ +DDmukddybkfKxYRZg43YTDlOVSXLq4K9+dXIM8wLrhfmmaKRYkVHzoboEtjP +G7BHFNyfgz1W6vW3RLsrT8eFBQZ/lfhlxNu+Ts7+kZzBLexpn4VIrSlRYWnq +R2Ep1YP9ybAnv4V6LMnnGQ5gcjsquu+s9Zxr2CSAGa/p2h8ax2XNZ+LSqoUN +zDewtpuqYEi/GsbyS5iXIU8xWZsSAGA33cXhrrO+r9cfkBjvUtBLztGqGZ68 +Net9R4cFZ9o0CwekZyG5sPWx1Oj0QWhNIbh7Jn5DiPtzo53XDvYjk1R94+21 +ucJ4NkiiSvUpv+DzhVsKqbVhpuu1Kfu2cBxpzIzLqJXQbmBNBTuqCkb0KxnM +L1lehjrFcG0C7Bf+7/OdZp9sNViy1u2uIrr9odNr2pV/srOQrOmI31jHFbeN +hhCxNRWYqHir24TgnE7N2Efqkma6rirGeTWWxA4quLUnNqOa6pNsul6T27eF +47y643HH61WTa7onLjn37MfvBBuwOOqm7lnZnqoCD9vllzwvQ57iuR7jxvsE +4KUYAFiO6FaYi9+PjQYLGbojpefu+qnTv63SrK+QzZAV/LLL1xuNxzextX56 +Sj/xXnSxS3OctHqXt2eUYXNpMjtYby1nX0a5iPrIo+e1SftD73j5/YQ3fWb4 +qJnmNPrp592852+612N8qHnYU1VYrp/B/JrIy1CnGO6bAPsFqUv084o2HC2q +kTLjgLpVs6whNTBwT412aV5as5v2U288a5ikrbGzv8ELUn9k+WeDqzeiopXu +ARwuzstH+KqQRxeS00oE6h7YqKDyfB7X9JtWdLw2x/6QOK7BGg2s7akqLNXP +cH4HwMvLUKcYrk2AHSN9GO8fYPgEuG+kOExcvG3vwdTk7zbtPKt9aCzrLM/b +N++FMW5bsorqxCjVr8CxhvFvbPCd5B4SnXDsVOaJ/AbJwJxUWhPvv/BoM94P +QXDsKDpzI92fGfWUhlGjvRP+onJqoeq1ufat7vgg1rg22VNVWKSf8fwOgpOX +IU8xXJsAewblF2x/b5/+m6i6KwyWQ8MaJirZEbb7bjfu8gqTqqzvNT2DQ+Y4 +ReynKvBhW36V7EsxALAfaXNOStq19sFZpnqkJNUxeRaiYk3anJt68HIb0Vu8 +zKqyttd0DA6t4xSxk6ogOY41+VWyNMUAwH4wpIvXv9CvVIgqsmKmjHnxrQO5 +FUKLf3NOwxoq6eAjRHNjZlVpsJrX9AwOveMUYX1VmIAl+VWyOMUAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAMNJBBcWJ65cEeDr7rjr0QAyb4ABDAVQdAACkSBoy +j/0hRJVIQ/q8KaHws05gKICqAwCAHEzRq1BPW8VlMQHrSijuvQoAlgBVB1AD +k9vNTbUdSbUvxPf3f5pGoSsuc0AqgaGvOsDWIK1XT/5S1WNq8GMItzA9NuT1 +dwst7nCq2vz5ZMyCqQ7PjnMO3Hj8oWaTZ1RYls252Umyb5oNpCol9ae3rw4N +mvay0+x1mU0Iczrxg8AA8rZz4TMjtDuwmVZL2ZQarLuSc7Sgy9JfiUIqh4tU +DXZRdYAdIW//9Ys16RRmI5j0cQv3TqyrIwPdt3v/TNp0qKgDkfFKDy2bONZn +f612u5beBykRX1/h4ZagTaRKm07/cKkFUXW4vhD+iou26Q8DOomDYBlybva6 +QAcn3d1BydTSM4VJmvKzr3fI+k4+PU21InNPFZDKYSNV+/V2UHWAPYF25UX4 +b6S8xzHt7tv4yNqvXWnTDAnxvSiXyUsLhdrPsCdXI+ZEqlqAskKqEpWJNctJ +0updcxYe1rYFslgnWRAsQNZybkfKxYRZ+t3oCNXSMyVr4ax2d3H36mPa9KCd +lSSNaBUdORuiS/CjAKkcRlL7zbKk6oBhg4L7c7DHSr2Wnmh35em4sMDgrxK/ +jHjb18nZP5IzuGU/7bMEqTU13XfWes7V7WeAPfkt1GNJPs+goG0sFRWWpn4U +llI92ACPIZ34QTBXqqz5TFxatbDBqFMqgVpzTFGDpEEDpHKYSWVP1QHDhu7i +cNdZ39frVyfGuxT0knO0arojb81639FhwZk2zV006VlCLmx9LDWaIpFYU33K +L/h84ZZCvXbRkqpvvL02VxjMjmwpVSG4eyZ+Q4j7c6Od1w42vGNGJ0EQzJKK +NGbGZdRKcLt446s1yxQlSK5NkMphJZVNVQcMG/i/z3eafbLVYP1Wt5uM6PaH +Tq9pl7vJzhKypiN+Yx1X3DaqJ2JrSlRwa09sRrXB41ikLmmm66pig1dFbSxV +qerAU7zVbUJwTifGpE6CIJghlVd3PO54vWr6iTe08dWaZYoMOffsx+8Eq5jr +MW68T4D6n4ujbuqeAiGVw0gqy6pOB4OqA+wL0a0wF78fGw3u6nXLpufu+qnT +v63SLCqQzWAV/LLL1xuNi53IGtZby9mXUS4yOkBavcvbM8qwpbYtpWrpKf3E +e9HFLow5nYRBoC+1/H7Cmz4zfNRMcxr99PNu3vM33Rs4y+GrNcsUJUjumyCV +w0cqy6oOGDYgdYl+XtGGpaMqmxkH1N2pZQ2pgYF7arTr1NKa3bSfSuNbQx5d +SE4rEah7eKOCyvN53IHXhURFK90DOFyDOaCtpGKStsbO/t47SP2R5Z8Nrq5Y +rpMkCOZIHQCvize+WrNMUYLk2gSpHE5SB2BD1QHDB+nDeP8Aw8ehfWXjMHHx +tr0HU5O/27TzrPYJqqyzPG/fvBfGuG3JKqoTo1S/AseaojM30v2ZUU9pGDXa +O+GvgfEhrYn3X3i02eiHEbaRivFvbPCd5B4SnXDsVOaJ/AbJwFzSUp2kQTBH +6iA4Q5tIrRmmqEFybYJUDiOpg7Ch6oBhBMov2P7ePv3XMnVvty2HnjVMVLIj +bPfdbpzlBlZJtalO2gZJ1FpBm2kgleYZtCOpSvZVHWB3SJtzUtKutQ9OudRl +k1TH5FmCojVpc27qwctthG+1skWqjXXSNGhCLePaKAGppG3QjqQqWVp1gN2B +IV28/tVtpUJUkRUzZcyLbx3IrRBa/ANsetZQSQcfMfFqDRuk2lQnbYOkahnX +RgNI5XCVakqtLasOAAAAAAAAAAAAAAAAAAAAAAAAAAAAsDqooDhx/ZIAT2ff +VYceiC3dY4VZa4ANgcIAAMB2SBoyj/0hRJVIQ/q8KaEEv1W1kTXAhkBhAABg +QzBFr0I9ixWXxQSsK8HZFNN21gAbAoUBADTB5HazImBHUsX393+aRqEPrC2s +UcGOQm1HUpX2XxgAYAFI69WTv1T1mBqxGMItTI8Nef3dQos7kKp2Qj4Zs2Cq +w7PjnAM3Hn+o2fEYFZZlc2524m2/ZTupSkn96e2rQ4Omvew0e11mE0JJJzU7 +A3K7KzlHC7rM+RGivO1c+MwI/YZu5lvTBaqCCvrxHxGFAQBDg7z91y/WpFOY +SmHSxy3cO7Gujgx0x+79M2nToaIORMYrPbRs4lif/bXaEdn7ICXi6ys83PFj +E6nSptM/XGpBVE3GL4S/4qLtgEOmk46dPrGSpvzs6x2yvjNbT1OtiNaZQ87N +Xhfo4KSzK6Yl1nQNQ1VQwTj+w70wAGCIQLvyIvw3Ut7wl3Z3bHxk7deutGnO +O+J7US6TlxYKtZ9hT65GzIlU9cNkhVQlKhNr1oCk1bvmLDys7ZFDqJOeHVkL +Z7W7i7tXH9OmB+2sNO4QSoys5dyOlIsJswa7sFliTVcrVAUlwUbxJ5VKANsK +Q9GRsyG6BLYAB2yLgvtzsMdKvf6WaHfl6biwwOCvEr+MeNvXydk/kjO4fz3t +oU1qTU33nbWec3U398ee/BbqsSSfZzC2bSwVFZamfhSWUj3Y9Y1AJ2075qqS +NZ+JS6sWNjDfvRqqgoo1wvjbeWGQNTcBgKGiuzjcddb39fp7BWO8S0EvOUer +Zn7y1qz3HR0WnGnTLAGQDm25sPWx1Gi2SGJN9Sm/4POFWwr1eidLqr7x9tpc +YTC1s6VUheDumfgNIe7PjXZeO9jlDV8nfTsmwLeGNGbGZdRKaHevpgJUhWlr +ZPG378KAaxPABvi/z3eafbLVYDDotlYR3f7Q6bWBNXCSoS1rOuI31nHFbaPB +QGxNiQpu7YnNqDbo/YzUJc10XVVs8J6rjaUqVe1oire6TQjO6cTIdNK3Ywoc +a7y643HH61XTZLqnIDn37MfvBBuwOOqm7nUAqsKUNfL423lhzPUYN94nAK8w +AGDIEN0Kc/H7sdGgx4puzffcXT91+rdVmpUGsmmngl92+Xpjr1EpE1nDems5 ++zLKRUYHSKt3eXtGGfaXtqVULT2ln3gvutiFkemkb8cUxtbK7ye86TPDR800 +p9FPP+/mPX/TvR5ThqgCVWHCmon423dhwH0TwAaQukQ/r2jDUaSq+RkH1K2a +ZQ2pgYF7arTL4tKa3bQfJeNbQx5dSE4rEah7bKOCyvN53IF3Z0VFK90DOFyD +ubCtpGKStsbO/kY0SP2R5Z8NLrng66RvxxxVA1ijezVUBUVrSvz423dhwLUJ +YAXSh/H+AbrPnFX01bzDxMXb9h5MTf5u086z2ge2ss7yvH3zXhjjtiWrqE6M +Uv0KHGuKztxI92dGPaVh1GjvhL8GTkLSmnj/hUebjX4jYhupGP/GBt9J7iHR +CcdOZZ7Ib5AMzGmJdNK1Y46qQaxxbYKqoGKtH5z423lhwLUJYAcov2D7e/v0 +3ynVXSuwHHrWMFHJjrDdd7txRiirpJLotG0AGYFVoVbaT1Uoh3thAMBQIm3O +SUm71j449VTXfFIdkyOIojVpc27qwcttMuLP2SHVhE7bBZA52BJqpf1UhXJE +FAYADCUY0sXrX/JWKkQVWTFTxrz41oHcCqHFvx6nZw2VdPARE2sabJBKqtOW +AWQWNoRaaT9VYUrq8CkMAAAAAAAAAAAAAAAAAAAAAAAAAAAAwDagguLE9UsC +PJ19Vx16ILZ04xU2WxtmsDnUkDhy2BxtyB3ADiQNmcf+EKJKpCF93pRQS39K +yGZrwww2hxoSRw6bow25A1gCpuhVqOdG4rKYgHUlOPtuDhdrwww2hxoSRw6b +ow25GwFgcnu6Hxbf3/9pGoWmqPZvjQp2lDs2hxoSRw6boz30uQMsAGm9evKX +qh5T1Y8h3ML02JDX3y20vG0o1lt7MmbBVIdnxzkHbjz+ULP5Myosy+bc7MTb +iYyuqf6Puis5Rwu6aP0yUVJ/evvq0KBpLzvNXpfZpPube3OsaZC3nQufGaHf +gc58a7rYIHc4IYLE0cYWidOg7xTkDmAp8vZfv1iTTmEigUkft3DvxLo6MtDS +uvfPpE2HijoQGa/00LKJY33212rrsfdBSsTXV3jUq4fQFCZpys++3iHrG309 +TbUiahalTad/uNSCqDpTXwh/xWWwvY5Z1jTIudnrAh2cdDbetMSarmFb5I4g +RJA4OoZtkTjtdxs5BbkDWAjalRfhv5HybsW0W1rjI2u/dqVNU83ie1Euk5cW +CrWfYU+uRsyJVDXztMiUrIWz2t3F3auPadODdlYaNyHFBZWJNasn0updcxYe +1nQGMtOa5thzO1IuJswabPRGw5qiI2dDdAl+emyTO6IQQeL0YGHi1Bg7pQJy +B7ANBffnYI+Veq0+0e7K03FhgcFfJX4Z8bavk7N/JGdw833aw4TUmpruO2s9 +5+o2OcCe/BbqsSSfZzhOzDBltjBUWJr6UVhKtYTEAjVrsuYzcWnVwgbmG2Tb +OHfGIYLE6cDOxBE6BbkDWEZ3cbjrrO/r9QsL410Kesk5WjWLkrdmve/osOBM +m+YGmHSYyIWtj6VGMy8Sa6pP+QWfL9xSqNf4WVL1jbfX5grjiQ19U2QQWlMI +7p6J3xDi/txo57WUG73hW0MaM+MyaiW0G2QPQHKKs2Xu8EMEiRuEjYkjcwpy +B7AL/u/znWafbDUoBd2+MKLbHzq9NrACTDJMZE1H/MY6rrhtVArE1pSo4Nae +2IxqgzbYSF3STNdVxThvedI2RQqJNaWqD0/xVrcJwTmdZjTI1ljj1R2PO16v +msrRHSZy7tmP3wlWMddj3HifAPU/F0fd1D0H2Dh3SuMQQeLYnDhypyB3OrnT +wSB3wJAhuhXm4vdjo8ENuW7Ge+6unzr92yrNfTbZFE7BL7t8vdG4TomsYb21 +nH0Z5SKjA6TVu7w9owz7bJtlihRiN/vpKf3Ee9HFLjOGSb+18vsJb/rM8FEz +zWn008+7ec/fdK/HlCE9SKbftsydFv0QQeIGYV3iTDgFuQPYBVKX6OcVbViR +qozPOKDuhy1rSA0M3FOjXRSW1uym/VgW3xry6EJyWolA3RgbFVSez+MOvDkq +KlrpHsDh4tzX0zZFWxgmaWvs7O/Ag9QfWf4Z5eUFkqAprdMg21a5Iw4RJG4Q +FiZuADynIHcAy5A+jPcPMHyS2Zdxh4mLt+09mJr83aadZ7WPK2Wd5Xn75r0w +xm1LVlGdGKX6FTjWFJ25ke7PjHpKw6jR3gl/DZS2tCbef+HRZrzfW9A1RVsY +xr+xwXeSe0h0wrFTmSfyGyTUJ4UEQevHGqc4G+WOOESQOB3Yl7hBcJyC3AGs +A+UXbH9vn/4blbp3ypZDzxomKtkRtvtuN2592lLY0FqjBKtyB4mjDqsSp4Tc +AWxF2pyTknatfXAap854Uh2T9UPRmrQ5N/Xg5TaiF1JtJ2yorVGFLbmDxNGE +LYlTQu4AVoMhXbz+BV+lQlSRFTNlzItvHcitEFr822l61lBJBx8huqO3pbCh +tUYPNuQOEmcGbEicEnIHAAAAAAAAAAAAAAAAAAAAAAAAAAAAWANUUJy4fkmA +p7PvqkMPxJbukMKsNcC2QG0AAGAjJA2Zx/4QokqkIX3elFCC32vayBpgW6A2 +AACwFZiiV6GeworLYgLWleBst2k7a4BtgdoAAMpgclgLsAri+/s/TaPQC9UW +1qgAhWE97L02AMAskNarJ3+p6jF1ZsEQbmF6bMjr7xZa3oIT6609GbNgqsOz +45wDNx5/qNlIGRWWZXNuduLt6kVHKr5xS5DUn96+OjRo2stOs9dlNiGUpFKz +M6C5u5JztKDLnJ8QytvOhc+M0G8VZ741XaAwKKKfghFRGwBgbeTtv36xJp3C +JAqTPm7h3ol1dWSgPXTvn0mbDhV1IDJe6aFlE8f67K/VjsXeBykRX1/h4Y4c +ilKJjZuJtOn0D5daEFWj7Qvhr7hoO86QSaVjpy+0kqb87Osdsr7TWk9TrYjW +aUPOzV4X6OCks6elJdZ0DUNhUMQ4BcO9NgDA6qBdeRH+Gynv1Uu7PTQ+svZr +V9o05wXxvSiXyUsLhdrPsCdXI+ZEqlpZmimVzLh5oDKxZrlKWr1rzsLD2tY7 +hFLp2ZG1cFa7u7h79TFtetDOSuPeo8TIWs7tSLmYMGuwh5ol1nS1QmFQ1WyU +AlK1BNhTbQCA9VFwfw72WKnXNhPtrjwdFxYY/FXilxFv+zo5+0dyBreep30K +IrWmpvvOWs+5ug0DsCe/hXosyecZjGq6UvGNW6IWFZamfhSWUj3YC41AKm07 +5qqSNZ+JS6sWNjDfexoKg6JawhQM39oAgCGguzjcddb39fpDFONdCnrJOVo1 +55O3Zr3v6LDgTJvm5p/0FCQXtj6WGs0TSaypPuUXfL5wS6Fe22NJ1TfeXpsr +DCZ1dKUSGDdXrUJw90z8hhD350Y7rx3sfYYvlb4dE+BbQxoz4zJqJbR7T1MB +CoOSWrIUDNvaAIAhgP/7fKfZJ1sNhoFuVxTR7Q+dXhtY/SY5BcmajviNdVxx +22gYEFtTooJbe2Izqg2eSSN1STNdVxUbvOFKVyqBcQvUKlWNboq3uk0IzunE +yKTSt2MKHGu8uuNxx+tVc2S65x859+zH7wQbsDjqpu6pGgqDglryFAzb2gCA +IUB0K8zF78dGg6UN3Wrvubt+6vRvqzRrDGTTYwW/7PL1RuMRT2QN663l7Mso +FxkdIK3e5e0ZZdizmp5UQuPmqtXSU/qJ96KLXRiZVPp2TGFsrfx+wps+M3zU +THMa/fTzbt7zN93rMWWIKlAYptWaSMGwrQ0AGAKQukQ/r2jD8aOq9hkH1F2W +ZQ2pgYF7arQL4tKa3bQfeeNbQx5dSE4rEaibTKOCyvN53IF3pkRFK90DOFyD +iTAdqSTGzVGLSdoaO/tb3CD1R5Z/Nrjegi+Vvh1zVA1gjd7TUBjU1GrAS8Gw +rQ0AGAqkD+P9AwyfCfdVu8PExdv2HkxN/m7TzrPaR7WyzvK8ffNeGOO2Jauo +ToxS/Qoca4rO3Ej3Z0Y9pWHUaO+EvwZOEtKaeP+FR5uNfh1CVSqpcXPUYvwb +G3wnuYdEJxw7lXkiv0EyMKElkkrXjjmqBrHK+QcKw7TaQXBSMIxrAwCGApRf +sP29ffpvk+quElgOPWuYqGRH2O673Thj0/pS6RkkkWrbGDICFIY+jKkdBrUB +AEODtDknJe1a++C8U13tSXVMjh2K1qTNuakHL7cRvtprZal0DJqQarsYMgcU +hg4Mqh0OtQEAQwOGdPH6F7uVClFFVsyUMS++dSC3Qmjx78bpWUMlHXzExGqG +1aTSM0gq1ZYxZBYoDKbVDp/aAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMwHFRQn +rl8S4Onsu+rQA/EI2jxlxDoO2AooOQCgjKQh89gfQlSJNKTPmxJ6lW9rPUPG +iHUcsBVQcgBAHUzRq1BP4MRlMQHrSnD2zhymjFjHAVsBJQfYM5jcNrf64vv7 +P02j0IZ12DH0jtsqxWZgR1LtiBE71gCWgbRePflLVY+pQY4h3ML02JDX3y20 +uPW2ajvokzELpjo8O845cOPxh5ptn1FhWTbnZifOHmRYdyXnaEEX4a8Lqbkg +qT+9fXVo0LSXnWavy2xi6Jf08rZz4TMjtFuWEbtA25QaU45TxA5SbEOpOIXB +lM6RW3IAYCHy9l+/WJNOYY6ESR+3cO/Eujpa3npb2ftn0qZDRR2IjFd6aNnE +sT77a7WjtvdBSsTXV3h6AwOTNOVnX++Q9Q3DnqZakdGgoeiCtOn0D5da+r5I +0XEh/BUXvaY5ZiPnZq8LdHDS3U4TzwXzTJlynKph9qfYplIJCoMBnSO25ADA +UtCuvAj/jZT3KabdehsfWfu1K22aU5X4XpTL5KWFQu1n2JOrEXMiVW08tf+5 +hbPa3cXdq49p04N2Vho2EqXsAioTaxaApNW75iw8bNjyxxxHWs7tSLmYMEu/ +fZuRC+aZMuW4DoqOnA3RJfghsIMU21YqYWFYrnMYlxwAWBUF9+dgj5V6TT7R +7srTcWGBwV8lfhnxtq+Ts38kZ3DbfdpnA1JrarrvrPWcq9vhAHvyW6jHknwe +xWFG1wUlKixN/SgspVpibIumC7LmM3Fp1cIGo9aiRC6YYYpiEFpOLFqC/1qV +HaXYxlKNC4MhncOy5ADAqnQXh7vO+r5efzaH8S4FveQcrZqEyVuz3nd0WHCm +TXNvT3o2kAtbH0uNrigk1lSf8gs+X7ilUK/ls6TqG2+vzRUU52z0XFAI7p6J +3xDi/txo57U47dvouIA0ZsZl1Epw214TukDfFCVIrk12lGJbSsUvDCZ0DtOS +AwCrwv99vtPsk60GA0a3I4zo9odOrw2sk5OcDWRNR/zGOq64bVTlxNaUqODW +ntiMaoMG2Ehd0kzXVcUUX2Cl64IKTFS81W1CcE6n/hfTcYFXdzzueL1qBoo3 +uoldoG2KDDn37MfvBKuY6zFuvE+A+p+Lo27qXgfsKMU2lqo0LgxmdOJZNkMn +y0pOB4OSAwDLEd0Kc/H70XAVXLeYe+6unzr92yrNagTZTFXBL7t8vbHXqEaJ +rGG9tZx9GeUiowOk1bu8PaMMm2wz5UI/PaWfeC+62GW4WEPZhfL7CW/6zPBR +M81p9NPPu3nP33Rv4FxE7AJtU5QguW+yoxTbUqoW/cJgRieeZfo6WVZyAGBV +kLpEP69ow4JWFfOMA+p+1bKG1MDAPTXapXNpzW7aT5/xrSGPLiSnlQjUDbxR +QeX5PO7A+7WiopXuARwuxVeEqLuASdoaO/v76iD1R5Z/hrPAQssFDXhtr4ld +oG2KEiTXJjtKsa2kEheGpTqHcckBgHWRPoz3D9B9TK2ir5gdJi7etvdgavJ3 +m3ae1T7UlXWW5+2b98IYty1ZRXVilOpX4FhTdOZGuj8z6ikNo0Z7J/w1cN6S +1sT7LzzaTPnnGlRdwPg3NvhOcg+JTjh2KvNEfoOE+ioEQUD6wRndJC7QNUUN +kmuTPaXYNlKJC8NSncO55ADAyqD8gu3v7dN/WVR3EcBy6FnDRCU7wnbf7aax +fG1XLjArjBJ2FB9WSbUXnUr2lRwAMIK0OScl7Vr74CxQXcxJdUyOMorWpM25 +qQcvt9H+FYj9uMCsMKrYT3xYI9VedCpZWnIAwAgY0sXrXxZXKkQVWTFTxrz4 +1oHcCqHFPwunZw2VdPARM1/4sQcXmBVGD3uID4uk2otOU1JtWXIAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAxnUEFx4volAZ7OvqsOPRCPoK2+RqzjgA2B +qgMAakgaMo/9IUSVSEP6vCmhBPslDEdGrOOADcGrOkxUmX25WXcLCuO/4CJr +zFizCxpHAcMUTNGrUM/exGUxAetKKO5oPgwYsY4DNgS/6mQtWZuT7+luVWH8 +F2NkjUeXR1PtQQAAemByu7lpF9/f/2kahQbfw46hd9yOqgKwEoZVJ67415qf +9HYdNP6LAfLm4+9G3hIS/wdgZIG0Xj35S1WPqZMLhnAL02NDXn+30OIu2Eql +pP709tWhQdNedpq9LrNJtZ8KKizL5tzspLzHa7+m3tqTMQumOjw7zjlw4/GH +ur0GsO5KztGCLsLfwlPz2lgnA8jbzoXPjNBusGmW4/im1JhynCI2qAr8bJqO +DyWpJKViJubU8IiqOsmDfy7do9ft1/gveihaOGGf3mDg9AIMB+Ttv36xJp3C +HBuTPm7h3ol1daTZlQAPadPpHy619I05RceF8FdctF3Yeh+kRHx9hUf9rNr7 +Z9KmQ0UdiIxXemjZxLE++2s14xiTNOVnX+/om6GhPU21IuNuo9S8JtBpGXJu +9rpAByfdzZ9pO05oypTjVA3boioIs0kaH4pSiY2biRk1POKqjn91+Tz9QBv/ +RQcFN+v9tdf4cAcO9IF25UX4b6S8RT5pF2w6XysTa9aApNW75iw8rO3Thj25 +GjEnUtU+mhKy9mtX2jR1Lr4X5TJ5aaF6OUDWwlnt7uLu1ce06UE7jZ6sUvaa +SKcFyFrO7Ui5mDBLv9koTceJTJlyXAdFR86G6BL8ENimKoiyqYIwPlSlkhk3 +D9o1PAKrTlweM3ORXq9f478Mgrb/smLNFR5cmgClaqLyc7DHSr2O0Gh35em4 +sMDgrxK/jHjb18nZP5Iz2PGF9lmI1JoSFZamfhSWonOPjz35LdRjSb5RfZLb +UdF9Z63nXMOeOsx4jaPTXK9lzWfi0qqFDUaNsOk7TmiKGiQtn2xcFSqMskkQ +H9qpxDVuiVrKNTwSq0768N+zfPX6/xr/ZfBLH+eEf3TJsDEwMELpLg53nfV9 +vf4oxXiXgl5yjlZNp+StWe87Oiw406a5Syc9C8mFrY+lRpVFaE0huHsmfkOI ++3OjndcO9gOVVH3j7bW5wnjCT6JK9Sm/4POFWwoFlAqbntf4Os3yGmnMjMuo +lShljcZDm6bjZKYoQXJtsmVV9H+Kk038+NCVSmDcXLV0angkVp2s4Qc/t9W6 +74sa/2XgGzvzPlqZ85hyl0hgeMP/fb7T7JOtBqWv24xMdPtDp9cGVrxJzkKy +piN+Yx1X3DaqV2JrKjBR8Va3CcEDd/lIXdJM11V4L5GS2EEFt/bEZlRTfbxN +12s8nWZ4zas7Hne8XjX9xBvatBwnN0WGnHv243eCVcz1GDfeJ0D9z8VRN3VP +1TauCvxs4seHdipJS8WqNTwSq07edOR1l/duicj+onWV99ua//2lHS5NQD+i +W2Eufj8armfrlmXP3fVTpw/cg5PNkBX8ssvXG40HPbG1fnpKP/FedFF7Ky+t +3uXtGXVPbGyfyA7WW8vZl1Euor4WQNdrPJ30vS6/n/CmzwwfNdOcRj/9vJv3 +/E33Bk5EdBw3YYoSJPdNtqwKwmzix4eeVJOlYs0aHolVJ2tI9XNdWdxN9pd+ +sCdX135wtg06TAEakLpEP69ow9JUleWMA3+pyrKvlAID99RoF8GlNbtpP/XG +s4ZJ2ho7+/uhIfVHln82uGohKlrpHsDh4tQovirk0YXktBKBerqFCirP53FN +v35F3WtineZ4PYC8+ejf3AymnXQdJzFFCZJrk62qgjSb+PGhI9WcUiExSLeG +R2LVIbX7/by36b6SY/wXzdcVrAvjGN5UAiMZ6cN4/wDDx8J9ZekwcfG2vQdT +k7/btPOs9vGsrLM8b9+8F8a4bckqqhNTvvnGsYbxb2zwneQeEp1w7FTmifwG +ycAEUFoT77/waDPery5w7Cg6cyPdnxn1lIZRo70T/qJyvqHqNbFOc7weBGdo +03Oc1BQ1SK5NNqoK0mwSxYeqVHNLhdAg/RoegVXXe//LmcFn2lCyv6gR3vrs +vROPzPuxFTBMQfkF29/bpz+P0b2dtxwa1jBRyY6w3XfxdzVhUhWrvFYOoeMU +saP4WF8qPYM2lcq2qhMWfvDGV3oOG/9Fhag4ankG5RcngRGDtDknJe1a+2Bl +qMsyqY7J8ULFmrQ5N/Xg5TaiCmVWFWu8Vg614xSxn/hYWyodgzaWyrKqQ2qT +Qjfr/XLY+C8qekpjlx1ugEsTgAOGdPH6F7iVClFFVsyUMS++dSC3Qmjx+i8N +a6ikg48QLV8wq0oDG7xW2sJxithDfKwtlZ5Bm0plXdUhdYfD9z7oJf2LCnHZ +1qU/DPXcCwAAABiBoLzrO+Mu677GYfwXNeKKuKWJD0fgjswAAADA0IJ13z91 +vFSAkv2lH0nVnhUJNXBpAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +sAdQQXHi+iUBns6+qw49EA/DjmDD28Hh7Z1yBDgIAAAekobMY38IUSXSkD5v +SijBpqH2zPB2cHh7p8R3EBNVZl9uNvlTGlljxppdZP3sAQBgL5iiV6GejIrL +YgLW4TWytHOGt4PD2zslkYOylqzNyffwdzfVIms8ujwar90eAAAUweS2X6oQ +39//aVrdMP5Z9/B2cHh7pzR2UFzxrzU/kW15LW8+/m7kLeEQSAMA9oO0Xj35 +S1UP5SsNhnAL02NDXn+3kFZDNzNBhWXZnJudON1VsO5KztGCLhO7QdLzDuut +PRmzYKrDs+OcAzcef0i10bolDK2DSkn96e2rQ4Omvew0e11mk9X3uBxi7zTI +286Fz4wwo7EUfeg5KHnwz6V7qiXG/7kfRQsn7NMbQzGsAIDtyNt//WJNOp25 +KyZ93MK9E+vqSLPZqPn0PkiJ+PoKT2+QY5Km/OzrHX1TULSnqVZEcIaj613v +n0mbDhV1IDJe6aFlE8f67K8dkg2Kh85BadPpHy619Dml6LgQ/orLJ0YdA6zA +0HmnPYybvS7QwcmcpodmQcdB/tXl8wirSsHNen/tNb7t1yMAwNagXXkR/hvp +j2Fpzb9MNsJWdORsiC5h5PSAPbkaMSfypnBg0MpaOKvdXdy9+pg2PWgnwaNj +2t7J2q9dadOcN8T3olwmLy0kWV6xQweVqEysWYqVVu+as/BwI+H6kj16pzF+ +bkfKxYRZriauTbZxUFweM3NRTifu5Qdt/2XFmis8uDQBgIL7c7DHytu44xPt +rjwdFxYY/FXilxFv+zo5+0dyBlsjU7o2kfTd1vue++eSE4+e4mTs3/i/4R/E +3MSbNmJPfgv1WJJPb9ia7Z2a7jtrPecaNrHWt2+/DqLC0tSPwlKIF5fs1jtZ +85m4tGphw49+Jq9NNnFQ+vDfs3y/rcILPPo4J/yjS11waQIAZXdxuOus7+sJ +zr8Y71LQS87RqumgvDXrfUeHBWfaNGsTTF2b0Ce/b1uw7PBfqvOKrP6g78tv +XXhstI+9CknVN95emytovVprtneqT/kFny/cUiggO1HYq4MKwd0z8RtC3J8b +7bw216ihjRa79A5pzIzLqJUoZY3MXJuYd1DW8IOf22q8VxOxzryPVubgmweA +EQb/9/lOs0+2Ep2e1J2RU+rVi1yi2x86vTbweILk2iTnnv34nWAVcz3GjfcJ +UP9zcdRNvNN8d2mMh3tUv1FF68k3nIJOt+GLQeqSZrquovdurdneKVHBrT2x +GdX4b0IMBweVqp/bFG91mxBsuLxkz97x6o7HHa9XX0eIr002dlDedOR1l/du +GSvDeL+t+d9f2uHSBAB9iG6Fufj9SPjMQXf499xdP3X6wFoEM/dNPaVrX50c +dlP9SAft+L/znf6W8QjnfSf1F1bv8vaMuicm90cfM73Dems5+zLKRSbXVuzV +wUF1n3gvuki0hmR/3pXfT3jTZ4aPmmlOo59+3s17/qZ7hC972MZBWUOqn+tK +44sY9uTq2g/OElz5AGCkgdQl+nlFE44o1fCfceAv1fDvG1KBgXsGGkRKa3Yz +cG3i5QePez7olGpqLH34f4ImzzxItIKjFBWtdA/gcE0PXQX/zrlfygSq/2iW +d8ijC8lpJf0NMlFB5fk8LuGbevboICZpa+xE1JcjpP7I8s8sWdNjn3cDyJuP +/s3N4jU9aziI1O73895m/PaHoGBdGIfwJhEARhrSh/H+AYQP/PuGv8PExdv2 +HkxN/m7TzrPaZ+myzvK8ffNeGOO2JauoTky4CGF67Mvbz38yY9zYKYvWf7d/ +5xzH6fGEzZGlNfH+C482E0xa9TQXrnZ3X12gXqGh7Z2iMzfS/ZlRT2kYNdo7 +4S/il8jt0EGMf2OD7yT3kOiEY6cyT+Q3SIhvDu3QOx1pjFybrOFg7/0vZwaf +aTMcNcJbn713guimDABGICi/YPt7+whe4tVdNrEuwlsRLp7biXYRw0QlO8J2 +3yXf7AUPlninHO4ODm/vlEw6KCz84I2vjAyJiqOWZ5C9EwoAIxBpc05K2rV2 +nIGhHv5JddYf/t131ru6bSzDX76RNuemHrzcZubAZYF3yuHu4PD2Tsmkg0ht +Uuhmox8895TGLjvcAJcmADAEQ7p4iMGsTyGqyIqZMubFtw7kVgittw6O9Tbd +ztoZMO5Zj29/5+N9DSrp4Btqo/kVtvNOOdwdHN7eKZl2EKk7HL73geFdk7hs +69IfhuYqCwAAAAB6oLzrO+MuG719Iq6IW5r4cBjveAsAAACwFaz7/qnjpQKj +d4ckVXtWJBC+ZQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgHVA +BcWJ65cEeDr7rjr0QAz93WyA7NGJlW/+uxreprYYFkbSquOLhf6OFKTNl7Mr +TfdssPCQEY2kIfPYH0JUiTSkz5sS2r8DKCaqzL7cTF7wxnGGyJsFJq75+UB8 +wJxdcIaxEFZGEm98MQQr/R0ZYN33kjefaaGz2ZYZh4x0MEWvQn09EZfFBKzT +tiWVtWRtTr5HuIencZwh8uaB8ouPnfqz9fdlAXCGsQyWRhJ/fDEAS/0dEcia +flrzrwpaTdnMOMQcMPkwvDkQ39//aVrdYJGLK/615ieCDaKN4zxEkTeJnaVG +xs07+v9aEKWggI1nGHsKJrsjqTQeXxbCen+HM5LqPcv++UBi+j+SH4L11p6M +WTDV4dlxzoEbjz/EbzauRFqvnvylqsfUUMQQbmF6bMjr7xaS9hakhbztXPjM +CG3DHVRYls252WnVdjb636gG667kHC3o0tvvTPLgn0v3VOMlwDjOZiSLxanB +F2ZhalD+zcSNW5N/Opb85cakW3z1Bj7S2qQPli5bvnx5aJDjeM+QdUcbzd72 +lLXBVErqT29fHRo07WWn2esym1QODodI0jsQb3xRxsr+AnSR1u6b9y691Vm8 +Q3r/TNp0qKgDkfFKDy2bONZnf61xDuXtv36xJp3ClAaTPm7h3ol1dTTR95YG +cm72ukAHJ91mcL0PUiK+vsKz1h7Txt+ISZrys6939N0ioT1NtaKBL+ZfXT4P +L17GcTYjWSxODbEw81ODduV9NP3v59r7DlW0nX1nesSlLt3t5YSFHwTttmT2 +y9pgSptO/3Cpb36vVHRcCH/F5RNNlwz7jiS9A4nGFzWs7S9AF/Tx+YUzN5XT +WSTCO0TWfu1Km6ZExPeiXCYvLRQaHtaVF+G/kbxRqA7Smn+Z7MlOGVnLuR0p +FxNmueo1KsWeXI2YE3lTaI0FFeNvlLVwVru7uHv1MW160E6d5m/i8piZi3I6 +DWUYx9mMZLE4NWTCzE2NojUzYPLsn/rbu8qb0/0mB/2s28acwhlG0ZGzIbqE +IBasDaYSlYk1K4PS6l1zFh5u1KwS23Ek6R1IPL4owYC/ALNIHnztPWsPre3z +TR3SfWet51yjRtcK7s/BHitv61Yq2l15Oi4sMPirxC8j3vZ1cvaP5Az2vaY9 +ZomtyZrPxKVVCxt+9NO/NvWN299CPZbk88y8OJnxjbhIH/57lu+3VYYrdcZx +NiNZ+rAuNYTCCFODcK+mrp73xqc/HU3ctjrYzTviP8U5h3dFr/B3fWNLAV9w +e8WkiQNnOcGNkJcmryym91jcdCN1Is39h9s2mKiwNPWjsBSdJWK7jaQ5ZUOG +1f0FmEVU9OGUWT/QaohJfgjGL/h84ZZCgeFQ6C4Od531fb3+URjvUtBLztGq +WZ28Net9R4cFZ9o0cxXSMSsXtj6WGg02fGtIY2ZcRq1EKWs0vlJIqr7x9tpc +QXOKZck34iFr+MHPbbXRm0XGcTYjWXpq2ZYaMmHEqRFXfOE6KeR8B6rEOnOC +HZzW/vcJqpQ3pfm9+verDVeCx08aOKeIbq+YOH7B7/TuSSieUdkYTIXg7pn4 +DSHuz412Xps70MTJXiNJ5qmpA/Gxsr8AswgLQ1/1+z9N+o9L5dyzH78TbMDi +qJv9VYB7iAZUcGtPbEY1znNN/u/znWafbDVYBFa3vU6pV9+ii25/6PSadp2c +bMzKmo74jXVccdvopI9jjVd3PO54vWq2hXelQOqSZrquwpkekUfAgm/EQ950 +5HWX924Z/j/jOJuRrEFYlxpt23B8YYSpUfZWbvNw7v9EdPuDVz13/tl3k4A9 +vhAw+W+nHt78wHHCEu3sV3hj8QSqs9/BMM71GDfeJ4AojGSaVdg4mErVj+aK +t7pNCB5YJLbXSJrwlPxAXKztL/kABGgiuv2+i9/A4rRlh2C9tZx9GeX4vwoV +3Qpz8fvR8Cjd2uu5u37q9IGlLbL5pIJfdvl6o3FVGlsrv5/wps8MHzXTnEY/ +/byb9/xN9wYGsrR6l7dn1D3zX8mm/Y14yBpS/VyNB4JxnM1IlgYWpqbfGqEw +4tSQnGEym5tO+E8aeGrw6KfZkwNOcek9FDc922dtMLX0lH7ivehil+Y4e40k +macmD8TFyv4CzNJbETv99aQ6Oi9GEhyCPLqQnFbS33QTFVSez+Pq/Q+kLtHP +K9pwhKhqb8aBv1T/s+8MHRi4Z6A7p7RmN+1nxMTWlKrnm0f/5mZwFyMqWuke +wLGgBGl/Ix5I7X4/721GD2+N42xGsvq/gK2pIRFGnBrDM8wOnTNMK/I458Pp +oaplGyXacX7JjFW5nUZtYMkxdUZlaTAxSVtjJ6I+VyP1R5Z/NrimZ6+RJPKU +0oG4WNlfgFkU3FPz/NQ5sugQRWdupPszo57SMGq0d8JfBvUifRjvH2D43LKv +9hwmLt6292Bq8nebdp7VPuqUdZbn7Zv3whi3LVlFdWLKJUJgrR+cK4W0Jt5/ +4dFmC37kRPcbcem9/+XM4DNthm4ax9mMZLE4NaTCiFKDIW03Ds574Xm/vf9t +4NXl/8PruXEBB641d93PinT+n1fXcsqEyJOChM+3pvz0n4PboxILn9Ced5Ce +UVkbTIx/Y4PvJPeQ6IRjpzJP5DdIBu4o7DeS+J5SO9AY6/sLMExv5VdBq4uo +vvFq7iEqUH7B9vf26d8e6N6zWw49a5ioZEfY7ruE+wUx/40ECAs/eOMrnHde +jeNsZuRNMhxTYzNYFUy7jiTTcQPsjJ4/Yhcn0Hsv2YxD+pE256SkXWsfnFOq +a8+MVSp86FiTNuemHrzcZuG+dEzoR2qTQjf/gfdEyjjOZkfeJMMuNbaELcG0 ++0gyGzfA3uh98O+wBHq/KjPjEC0Y0sXrXxZXKkQVWTFTxrz41oHcCqHFd9D0 +rKGSDj5i4WSSGf1I3eHwvQ/wX2M3jrMFkTfJMEqN7WFDMO08kszGDbBHFJ35 +2zb/RuvJnxmHAHigvOs74y53Eo084zhD5AEAGDGggjvH/nOP1huZZhwCGIJ1 +3z91vFRAdqExjjNEHgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +ALAQ2aMTK9/8N3T2NA9UUJy4fkmAp7PvqkMPxIy9328lsyMHyAsA2DWYuObn +A/EBc3bBtcksJA2Zx/4QokqkIX3elFAqvV5taXbkAHkBAHsG5RcfO/Vn6+/L +AuDaZB6Yolehnj2Ly2IC1hm1MGaZ2ZED5AUA7BcZN+/o/2tBlIICNl6bMLk9 +rZiI7+//NK2O8RhayayF2FFqRlRegOEB1lt7MmbBVIdnxzkHbjz+kKDDM9J6 +9eQvVT3kQ5GaKTpI6k9vXx0aNO1lp9nrMptUmzGjwrJszs1OcztOofybiRu3 +Jv90LPnLjUm3+Oq9kqS1SR8sXbZ8+fLQIMfxniHrjjaaveszg8FUbZbKLUyP +DXn93UJaffdoCDMrmCQ+Yt2VnKMFXebtSoqXGgbMGiJvOxc+M4Kop5gNUsNU +kdt5XgDAgN4/kzYdKupAZLzSQ8smjvXZX2t8Ypa3//rFmnSTsyMqpmghbTr9 +w6W++xmlouNC+Csun2jaaPQ+SIn4+grPjCGBduV9NP3v59r7DlW0nX1nesSl +Lt2d/ISFHwTttuS+icFg9o186eMW7p1YV0eaPWHpCaMdTEJTmKQpP/t6h6wv +zD1NtSKa6SFMjWVmDZFzs9cFOjjh97u0SWqYKnL7zgsAGCJrv3alTVPE4ntR +LpOXFgoN/ktfdUb4bzTdvJaCKZqgMrFm0URavWvOwsONmjY82JOrEXMibwrp +3pcpWjMDJs/+6ZF6PipvTvebHPSzbqduS69NDAZTg7TmX7T7ldMURjOYRKZk +LZzV7i7uXn1Mmx60E6dRJClEqbHQrKH4lnM7Ui4mzHLFuzbZJjVMFTl786Lo +yNkQXcJ8O1BgBNF9Z63nXMNe2koF9+dgj5W3dWsL7a48HRcWGPxV4pcRb/s6 +OftHcvR7sROYIoTcICosTf0oLKV6sBM79uS3UI8l+TyjcYtwr6aunvfGpz8d +Tdy2OtjNO+I/xTmHd0Wv8Hd9Y0sBX3B7xaSJA6dlwY2QlyavLLbSY1xmgkn7 +BGhGaoiCyXCWbZ8aWfOZuLRqYcOPfnjXJhunhnqR21teSBvTA4BpMH7B5wu3 +FAoMh0J3cbjrrO/r9Qsd410Kesk5WjWrk7dmve/osOBMm8KkKTVyYetjqdEn +hAYVgrtn4jeEuD832nlt7kCXJ0nVN95emytwZmviii9cJ4Wc70CVWGdOsIPT +2v8+QZXypjS/V/9+teFK8PhJA0NLdHvFxPELfmfggYExTAWT9ARIM5KEwgiD +aUGW8bBtapDGzLiMWolS1oh/bbJlamgWuX3lBa5NgEWgglt7YjOqcR7e83+f +7zT7ZKvBerK6VXRKvXoRQXT7Q6fXPhnoqU5sqg9Z0xG/sY4rbhudGkgM9oGJ +ire6TQjO6dQYReqSZrquwpvA9VZu83Du/0R0+4NXPXf+2TcTxR5fCJj8t1MP +b37gOGGJdhIovLF4AtVJoJx79uN3gg1YHHUT/wTAXDBJToDmRBJfGHEwzc0y +PrZMjbTueNzxetXtBdG1ycapUdIpcvvKy1yPceN9AsiHDADggvXWcvZllOM3 +6xPdCnPx+7HRYIFAd3T03F0/dfq3VRKTplQo+GWXrzcaDx0ig1p6Sj/xXnSx +S3OctHqXt2fUPbGxfZKBltncdMJ/0sDi+aOfZk8OOMVl+iEug8Ekn5zTjSSh +MOJgmp1lXGyYGunDhDd9ZviomeY0+unn3bznb7rXo/tfbJkaLVSL3K7yAvdN +gLkgjy4kp5X0t55FBZXn87h6L5chdYl+XtGGI0Q1OmYc+Ev1P2UNqYGBe2qk +pk2RgWcQk7Q1diLqgYbUH1n+2eByh6hopXsAB2+QGA60HToDrRV5nPPh9FDV +6oUS7Ti/ZMaqXKZbuzMYTBXSmt20H7jTTg1xMJnNso1To0HefPRvbjj3TbZK +jTlFbld5gWsTYBaKztxI92dGPaVh1GjvhL8MKlr6MN4/wPDJat/ocJi4eNve +g6nJ323aeVb1MJaCKRJwDGL8Gxt8J7mHRCccO5V5Ir9BMjAdlNbE+y882mz0 ++w8MabtxcN4Lz/vt/W8Dry7/H17PjQs4cK25635WpPP/vLqWUyZEnhQkfL41 +5af/HNwelVj4hNmbJgaDqULWWZ63b94LY9y2ZBXViSmfEeimhiiYZpgiwcap +GYTo2mSj1NAvcnw77M0LXJsAq4HyC7a/t0//NVHdVQVGoGEQE5XsCNt9t9su +F66tH0x61kiDyXiWWQ2rUgN5AQAqSJtzUtKutQ/OKdWjI6mO4WsTFYPS5tzU +g5fbqL6ezkKsHEw61kwEk/Essx22pAbyAgCUwZAuXv+yuFIhqsiKmTLmxbcO +5FYImVh7oWEQlXTwEbu8Y9LFasGkZ400mIxn2T5gQ2ogLwAAAAAAAAAAAAAA +AAAAAAAAAAAAAMBIARUUJ65fEuDp7Lvq0AMxi94IYa2wIQMiYDlWiiGkBgCs +jKQh89gfQlSJNKTPmxLKop8zslbYkAERsBwrxRBSAwDWBlP0KtTTPnFZTMC6 +Eit19zAD1gobMiAClmOlGEJqAC2YHG6brYv4/v5P0yi0Zx1yWCtsyGBnBOxr +SFophuxMDUCGpCE7/tvEtIwf93yx9qvsFpzfoiOtV0/+UtVjqr4xhFuYHhvy ++ruFljfewXprT8YsmOrw7DjnwI3HH2q2dEaFZdmcm514W4zRkYpv3BIk9ae3 +rw4Nmvay0+x1mU0IJamkoPybiRu3Jv90LPnLjUm3+Do7tmHdlZyjBV2W/ejS +7AiQHGhKGKSGEtQiYEdDEg/jpAx8iyUxtHJqgKFF0Xpqod/W+6pNxLAnV5b6 +/H93DG565e2/frEmncJ8A5M+buHeiXV1ZKBRde+fSZsOFXUgMl7poWUTx/rs +r9XWb++DlIivr/Bwi4yiVGLjZiJtOv3DpRZE1X76QvgrLtpmOmRSyUG78j6a +/vdz7X2HKtrOvjM94lJX/zjDJE352dc7+uYPaE9TrcjcoWZ2BAgPNCUMUkMR +KhGwoyGJC0FSLI2htVMDDDHy5vTZk9/4obav0OUt/3nzb9/8qddRpi/fEf4b +cXZtxod2o2p8ZO3XrrRpSl98L8pl8kBXaNUV9GrEnEhVz08DqEolM24eqEys +WTSRVu+as/CwtgkQoVQTKFozAyYPNM1pTvebHPSzqlWCrIWz2t3F3auPadOD +dlbitP2lhNkRIDrQlDBIDVUoRMCOhiQBBEmxMIYMpEbRkbMhuoRqZAFrgz65 +Fusz/tXl/zgcH7v9+J/671gquD8He6zUa+CJdleejgsLDP4q8cuIt32dnP0j +OY0DMzjaA4HUmpruO2s95+q2LsCe/BbqsSSfZzAS6ErFN26JWlRYmvpRWEr1 +4MWdQKpSiXCvpq6e98anPx1N3LY62M074j/FOYd3Ra/wd31jSwFfcHvFpIkD +Y19wI+Qlqs1G6UMQAUZDB6kxC/wI2NGQpJ0UE1g9NdDOg3X0Vu4N8nh+tMO8 +uEsd+gvH3cXhrrO+r9cfHhjvUtBLztGqeZK8Net9R4cFZ9o098mkA0EubH0s +NToXkFhTfcov+HzhlkK9Rs6Sqm+8vTZXGMx/6EolMG6uWoXg7pn4DSHuz412 +XjvYHg5fqgpxxReuk0JUPduwzpxgB6e1/32CKuVNaX6v/v1qw5Xg8ZMGxpXo +9oqJ4xf8bvkDAxxIImBB6AyB1JgBUQTsaEiSmcJPiimsnBq4NrELpPk/a5Z9 +X9XdeX3P3yeOm/lNuW7nT/7v851mn2w1KB3d9jGi2x86vTawYkwyEGRNR/zG +Oq64bXTHTGxNiQpu7YnNqDZ4HozUJc10XWU4JaIrlcC4BWqVqq47xVvdJgTn +dGJkUlWQNMI+9fDmB44TlmhngMIbiydQnQHKuWc/fifYgMVRN/HP8aQRMDt0 +xkBqlMylxo6GpAlTSuOkmMLaqZnrMW68TwB5aoChordyu8/s/lYwmOD6x1Pc +Ist0Lk6iW2Eufj82Giwr6NZbz931U6d/W6W5LyebpCn4ZZevNxqPNiJrWG8t +Z19GucjoAGn1Lm/PKMPu2fSkEho3V62WntJPvBdd7MLIpKogGWWZzU0n/CcN +rJw/+mn25IBTeK25LcJkBMwOnRGQGnqQRsCOhiS5sH70k2IKK6cG7ptYBVKX +/LdpG/qfrCJ/HZjjr9fKGalL9POKNqw5Vb3NOKD+f7KG1MDAPTXaRWRpzW7a +D17xrSGPLiSnlQjUL9qggsrzedwBWaKile4BHMOyoyOVxLg5ajFJW2Nnf78d +pP7I8s8G1yjwpaowHGU7dEZZK/I458PpoaqlCyXacX7JjFW5nZT7flODQgSY +Cx2khg4mImBHQ5LIFHFSTGHl1MC1iV1gPQ/SP//fDf/8Pv3w/q+2H3ug/5sJ +6cN4/wDD57F99eYwcfG2vQdTk7/btPOs9vGmrLM8b9+8F8a4bckqqhNTLgsc +a4rO3Ej3Z0Y9pWHUaG+dK6a0Jt5/4dFmo19UUJVKatwctRj/xgbfSe4h0QnH +TmWeyG+QDESQSCqGtN04OO+F5/32/reBV5f/D6/nxgUcuNbcdT8r0vl/Xl3L +KRMiTwoSPt+a8tN/Dm6PSix8wuzMnFoEGAwdpIYqFCJgR0MS3xRxUsixfmrg +2mRXoPyC7e/t03/xUvc+3XLoWcNEJTvCdt/txqln60ulZ5BEqj3AZOggNQxi +R0PSClkGgEGkzTkpadfaBydq6nrrf0bFAHSsSZtzUw9ebiN8sdjKUukYNCWV +9TAcOkgNg9jPkGQ8ywCgB4Z08foXiJUKUUVWzJQxL751ILdCaPGCBj1rqKSD +j5iY61pNKj2DVKSyGMZDpwJSwyD2MCStUkUAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAChRQXHi+iUBns6+qw49EFv6OhSz1qxtduRAFEAIrOXYxQgCAHtD +0pB57A8hqkQa0udNCbX0N9bMWrO22ZEDUQAhsJZj/RGEiSqzLzdDd3JgZIEp +ehXqyZm4LCZgXYmFrW2YtWZtsyMHogBCYC1nKEaQrCVrc/I9+9wWAwAsQ3x/ +/6dpFNpG28Katc1aCCa3m3MGUQAhsJZj3REkrvjXmp8od24EABuA9daejFkw +1eHZcc6BG48/pNqTh/RArLuSc7Sgi9YvwSX1p7evDg2a9rLT7HWZTbp7nJhj +bQCUfzNx49bkn44lf7kx6RZfZ7tLi8wOGKEUPaT16slfqnpMhRZDuIXpsSGv +v1vIQLc643iiwrJszs1OvB05STTRz/LwDiy+sKGKLRn0RpDkwT+X7qHecxYA +hpreP5M2HSrqQGS80kPLJo712V9LcesrwgMxSVN+9vWOvikZ2tNUK6I2vKRN +p3+41NJnQdFxIfwVl8EGZGZZGwDtyvto+t/Ptfcdpmg7+870iEtdKANmB6AS +PXn7r1+sSacwAcakj1u4d2JdHWl2NMCDIJ69D1Iivr7Co+4u7SwP98ASC7N+ +bEmhPYL4V5fPozzaAWCokbVfu9KmqU/xvSiXyUu1jSPNPFDWwlnt7uLu1ce0 +6UE7K3F6XuOBysSaBRdp9a45Cw9reqeZaU2LojUzYPJAu7HmdL/JQT+rmszQ +MKvoyNkQXWLUGbQfCtHruzpG+G8sJjBgBGkHbRoQxFOJPbkaMSdS1SKbEnSz +bGG+TH6vroc2CSyZMCvH1gS0R5C4PGbmIsodZwHAhnTfWes517AxTF/Rd1ee +jgsLDP4q8cuIt32dnP0jOY1SKgfiQm4NFZamfhSWQn2pAeFeTV09741Pfzqa +uG11sJt3xH+Kcw7vil7h7/rGlgK+4PaKSRMHzh6CGyEvUW3TPADlli74QVBw +fw72WKnX9Zo0ArRPoXTjiT35LdRjST7P8JTEbJaZhJWBxRU2NLFlagRJH/57 +lq9BF1oAYCEYv+DzhVsKBTjzKIx3Kegl52jVjFDemvW+o8OCM20KKgfifxGR +NYXg7pn4DSHuz412Xku9Faa44gvXSSGqbpdYZ06wg9Pa/z5BlfKmNL9X/361 +4Urw+EkDVyPR7RUTxy/4nd7UmeK1iSgI3cXhrrO+r9c/6ZDEk/QUKhe2PpYa +hZlmPCVV33h7ba4wno0zm2WmYGNgCYUNUWyZGUGyhh/83FbDu5QAy0EFt/bE +ZlQTPHLWbRAmuv2h02uDq9nkB9K1plT9+KJ4q9uEYMqLDYZtmncOtmk+9fDm +B44Tlmjvm4Q3Fk+get8k5579+J1gFXM9xo33CVD/c3HUTfzzB3EQ+L/Pd5p9 +stXgNEEcAZJTqKzpiN9YxxW3jVax6MUTqUua6boKLwrMZpmAwcDqYH+BxRc2 +VLFlZATJm4687vLeLaqLogBgA7DeWs6+jHIRYS3rjoWeu+unTtcsBZg8kJY1 +LT2ln3gvuthl+bUps7nphP+kgedNj36aPTngFJfe43nT902kQRDdCnPx+7HR +YLGGOAJk03sFv+zy9Ubjcxi9eEqrd3l7Rt0TG9tnNsuWw9rAEgobqtgyMoJk +Dal+rnSXuAFgCEEeXUhOKxGo319DBZXn87hG7+6oxsKMA3+p/t5X0YGBe2qk +1A7EBc8aJmlr7OzvUYbUH1n+GfU1PcNr0w6da1Mr8jjnw+mhqgU/JdpxfsmM +VbmdqEmLepi6NpkIAlKX6OcVbXi2wo+nCmnNbtqP7OnFU1S00j2Ag3eFZjbL +lsLSwJIKG6rYMjKCkNr9ft7bzH5dBQCsi6IzN9L9mVFPaRg12jvhL+Px0TcW +HCYu3rb3YGryd5t2nlU9eqV2IC441jD+jQ2+k9xDohOOnco8kd8goTiPxJC2 +GwfnvfC8397/NvDq8v/h9dy4gAPXmrvuZ0U6/8+razllQuT/Z+/N45q49v// +27/u49r2WuulKlyuBaG4IKjRSg1Lq12oWG2p/lwKfh+2tl6rqLgXbe+t1rog +ixWrFxe0IirKo1Y+RbEWFUFErSKLopQlkUVkyQIhmSQz+ZEQQkhmJnOSCUzg +/fzLBzHvOef1ep8zZ85M5t2cHf3luviko3s2LI/JaUZ+ppn23MRABMXjbX58 +07vcJApoUTbcv7Az8OXnPdek3iyXMT6JIumpeLTNb9ohIdkPcdh12SY4Kyxt +w3pMW1ZGUFvR2vFBp+sQ12oAwCmM9xC4Fo3r4KLsDR/t7L487TU9CemtTaFb +75K/rMbBfOGUsJoe1ZaVaJKc2VM2wmUT4NjoxkJsOZsji7VoDoBCmB6feOVp +1xK/l/RUCDMS9lyqo3pS2fF84Yqwmh7Wlo1oWFlsyGrjRygAwNFQSwtTV4x4 +/h9v784olNj2IhrWozkMBNbY1HEzoPf0xOX1Ioxqq8dRfeGCsJoe1ZadaFj5 +/nk7SuCqCQAAAOAKeNO1zVGXGD9vBAAAAAB2hmgpOnHsjhieggAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAADIwcX5MV/M4I9yG7dgX4kMqmTaEceV +2nFb7nCA1IAjoRBeSiu2Tw0DeWXykT8kuAarPBg4IoRJAVjASsikJqTFaZeE +CktfZQIkSV/AzkkCACxCtBTErT5dbada2YS6Ta2bz2T3VvAXQ5VMO0IutbI6 +dXVcAfkbRBFiQ5L0DeyZJADAKkpB0sLvCknKmbGLrGjX54nlsDbrAUyllhV+ +tzBJYNNpBZKkr2GHJAEAVpGXbp/5bYnc8n9kEKri1IbwkIDR/3SdtDhZYPyS +Y6KlOOVQdqNtr98i2sqOr5j6mtMLg9z8lx17TFGDGqvJOv7zw1YLK0DqptqA +qu7svPFh+foi1bjkXlpKbgNZMR7W6H5EHWRSy0u+/WB7qQ0es5ckNCZyLUmY +hULBPOvsmiRo49HmJAEAVlGU7Qz8kJUNfoXg1N6L1e0jQF1/ft6/3D8zvD6f +kAsy067Vty/J8FZBmdTauaftQezKfTfrMWXTnX0zhw703VVmfkpRPf1l1cKD +FhfelE21BVVt2mJ/J9d5RmeKtpL4sK8uN9nrjZjmR6SSWpQ1K5BML4awlySU +JnIvSZiEQoIi6+yVJMjj0cYkAQBWwZ+dmzZ+5X02NmtwpUzVsbRUlG6ZPG1/ +Vcf+gLI6JdzL3WtMO6O9AzbT1SJT16cvibglJf9Q+fTK5Tr9wJEVLHd3+SBH +YtqCxgthfsvyKQJYbqotKKvPbor/NXqCh/G5SUM0Z4VNXporscc+vvkRqaWW +3V8x/p30Brpm0IjPXpJQmcjBJGEQChGqrLNTkiCPRwZJAgA9hrzkK58J2x8j +7fDjLcWnokL9gzbGrA17d5yrm9/SlKquALjkTsInofHWbA7Qli83puX2olFv +mJbT1qhrTwaNnJ9nPOuw21TqaErh6ajEUknlj7zu56b2eee3kJEzMpusHPBW +HJEUxePvJ4z75iFdR2nEZz9JtJCbaJGeThIrmoqadXZLEvLDUcEgSQCgx5De +nDtiwt5KxAmCaLoY8IpbhHapp6pJ/XiY09TTdbqtAbX47ultS4K9XhzgtigD +uboLw2mHEGV/OW1Njth0KLfkz/OY8ENF975Y21SVpOaZwmyyII+GVSVHHS6T +a5RV5mcK+cOvfcasLrS6Bhv6EclQVu7leYbTPv9GIz7LSdLxKYWJFunRJLHc +VJQ80VBlnX2ShPJwFDBIEgDoMSQ5IcN5/xN0vxerqj3z6XtBJkxfnts1OnU1 +neMrdFse0ry5rq92u2VDSPPXeQ4JYro90HW4N0YOGuzLNz+cMbj4xvbIw6Uk +d6ZFV99ynXS8xmQEWtVUpeAAb+CwOXlmkz5JtKbyY1HHKrQLVbIzBVYeO95j +Qb75gLcsspVHJEMlODDR/aMbJP+PifjsJwm1iZQ96K0koW0qSp7QZJ09kgR9 +PFInCQD0PNK8j9156PdbjMdC690vXvM22QpovfOZzzu/NiIuii0viYm2spSd +h++T/wBUeiPUnfejaV+sa6padO/StSrzCck82v2i6Dd9x/rqGO064K8vefq8 +tbLAMDMoSrf4jFpeYP29GuQjkqGsTOB5zCeZ/Lqgu25iN0loTbRIjyaJxaYy +zxO6rLNDklgxHhkkCQD0GG2Fkd4TY8tRH87RjoWxu//Ufq09o/39tz9SaAh5 +XVUDpkt/rOLArH+zv6eHPTkfl3iro9wmLi4+d6G2W7ux8hjemAjTEc5uU8mi +GVAJD73uaXIVI70534ufUmv9U1jIRyQDK9vF81lP94gBnfgsJolFEy3SY0li +U1PRss4uSYKc5AySBAB6DHXtiUDepgeo9z/bx4LT0Onrd+xJiPvvys1ntLde +CdH1JeOcvYIjoo+cSP4ps1KOviymnXbUDRlLvf723F/0PDfAJ/pPk6lC8Xib +H9/0ljW7TSWJ1gXJmULxaJvftENCG36/gnpEUtqK1o4POl1HV0SbRnz2koSB +iZboqSSxralIWWeXJEFPcgZJAgA9R1vxxoDwm6h7zMZ7CBwCF2Vv+Ghn95Uf +u01Fi0ZIb20K3XrXplfBsNJ+Sc7sKRutXxFDkqCCELCvJAkAsEzrH5HTo9Ge +D9aPBfRdnh5AIUyPT7zytGtZzG5TUaIphBkJey7V2fjbKTbaj5XFhqy25QfG +kCSIMA7Yh5IEAFimreT70OhShHlHLS1MXTHi+X+8vTujUGKvdx7YAIE1NnXs +s7PcVLRouLxehNn4Q0Z22o+V75+3o8SmBTEkCQIIAftUkgAAy6gbMtev/q0B +9pn7JnjTtc1Rl5AfTDEBkqRPw06SAADb4OLbR44W2Kc0D9CrEC1FJ47dEbNw +ToEk6bOwlyQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA0LdRPvlp +/pvfo/wkFaAExGQREBPoIyiEl9KK4acrSBCyRyd3b+NP3gIzgO2AmCwCYgJ9 +BKKlIG716WobX+nVz8BF+UdOPKi5OpMPM4DNgJgsAmICfQWlIGnhd4XW1zVj +C0LlONdtytoLh/6vGtOIs7k4AziSkhqui+lggJhAn0Feun3mtyWItXmItrLj +K6a+5vTCIDf/ZcceU9TWxmqyjv/8sNXSRElgtTkHI4MnfpgjRmsFGfKKUxvC +QwJG/9N10uJkgfbFzLjkXlpKboO11XFwUW7MsnVxSUfi1i6LvSHSvddFURY7 ++4OZs2bNCgkYNnhU8OJDVVa/AZq7SupR1Z2dNz6ss0RUvxGTWSgUHC0zAaB3 +UZTtDPyQtsQ1CW0PYlfuu1mPKZvu7Js5dKDvrjLzEaB6+suqhQfLLa/cCMWz +6trbkR7D3s22eUZVCE7tvdi+atSo68/P+5f7Z/pX/reVxId9dbnJijdZ4o0X +PvF+/+zT9q+q68685x12sdH4rWOSnNkBW21ZnXJWyc5j16Yt9ndyNS5f2C/E +ZBIKCYfLTADoXfBn56aNX3kfbUdP+fTK5Tr9WJUVLHd3+SBHYhq38UKY3zLL +BVn1KB59N9qFhRkVV8r0+1mK0i2Tp+2v0t9EI5qzwiYvzZWgrn7VNcl8l0lJ +T3RLW5XwIM8l4KRx6WwGM4C6Pn1JxC0KIbirZEfzqs9uiv81eoJHt9K6/UBM +BqEQ4WBmAgCXkZd85TNhO2rVOCNabi8a9YZpiWuNuvZk0Mj5ecZzAN5SfCoq +1D9oY8zasHfHubr5LU3pqi+OPKPSRtPgkjsJn4TGl3btVBLNv4WMnJHZZDYF +YLVZCeGBUz5POhSzPjzI0yfsaH76/i0Rc/w8pqzJFonz5jgPNcxL4uvBr7jM +z29h3EottDXEjeGckkrh6ajEUknlj7zu56b+IyZNKEocJzMBgMtIb84dMWFv +pbXP6BGi7C+nrckRmw6slvx5HhN+qOgelmi6GPCKW4R2jaiqSf14mNPU03X6 +lR7tjKqS1DxTmA1dymhq8d3T25YEe704wG1RhqEijfzh1z5jVheS1E6TFa7y +cA4+V49riIb0ICfXRb834xqVIJE3/P2systBg50NY16aN2fo4KlX0a5JGE6n +nFMSq0qOOlwm1yirzM5N/UZMmlA6HDszAYDLSHJChvP+J+h+O1ZVe+bT94JM +mL4813SA4uIb2yMPl5LcJxZdfct10vEak210XeXo+ArdXok0b67rq5277nQz +qlJwgDdw2Jw8s30Y6mhaCGn+Os8hQekN+sZh5bHjPRaQrSzbitePdOv4RJo3 +e/iozQ/aF7XEs/N8l9dPPM6dPWzIjM7VqeT69CFMV6ddGr4xctBgXz6Vhh1w +Tsmm8mNRxyq0632yc1N/EZMmlKYPZCb96AaAXkWa97E7z7D5jQLRVpay8/B9 +8h/sSm+EuvN+NA1rPGZb737xmvc3D/V7G3SrfbXo3qVrVebTA3W0DlrvfObz +zq+N+u8pSrf4jFpeQHJjjWYGSBYKfvJzNuzqP0ma5MI/UYt249ryUp+DSt4v +in7Td6yvjtGuA/76kqfPWysLDBNs/xCTNpSuNY6dmQDAZdoKI70nxpYjP4SE +PTkfl3iro1ImLi4+d6G2WwisPIY3JsJ0vGnH7Njdf2r/p7Iywd9/+6POjXjF +o63Id/DJohHyuqoGTDfosYoDs/7dtXMivTnfi59CNnpNZ4BNRjNADfYsfa53 +iHZbRYPXn5sxdkEGallyS9MpR5U0oBIeet3T5LqpP4hpIRQdDpKZAMBl1LUn +Anm6nEf5UkPGUq+/PfcXPc8N8In+02TgKh5v8+Ob3kBuH7NOQ6ev37EnIe6/ +Kzef6bxFrGy4f2Fn4MvPe65JvVkuYzzASKIRoutLxjl7BUdEHzmR/FNmpdyw +pFU82uY37ZDQ7KckBFZ3fU/gyy/xdvxe2VSe+Z8xLw7i774ibCxKXer29+GL +Uu5JsObs6C/XxScd3bNheUxOM/LSlHY65aySXZCcm/q+mAxC0eAgmQkAnKat +eGNA+E2mTygzBxdlb/hoZ3G3O7zGex22gxCNkN7aFLr1botD7qhzSkkNiGmZ +/pKZAGBXWv+InB5tw0Pk1CiE6fGJV552LVJ1Y9aKDURyGEdTCDMS9lyqc+D3 +BXJFSQ2IyYR+lJkAYEfaSr4PjbbTr/QIrLGpY5Ndo5YWpq4Y8fw/3t6dUSix +ef8BIRourxdhDr8u5YKSGhDTMv0uMwHAbqgbMtev/g3upAIAAABcAhffPnK0 +AOo3AQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABzlE9+mv/m +91Bv1ApwcX7MFzP4o9zGLdhXImPt9wx2CtuvAGsAwKEhZI9O7t7Gn7wFzk3o +yCuTj/whwTVY5cHAESFMatv2Zth+BVgDAI4MLso/cuJBzdWZfDg3WQGhblPr +ls6yeyv4i2+xVV7cTmH7FWANADguytoLh/6vGtOIs7l4biJUDrNjIiva9Xli +OesC2imsjTiQL5p+Zg3QByDayo6vmPqa0wuD3PyXHXtMXr9ag9VkHf/5YSv9 +UGQWygpUdWfnjQ/rLEKES+6lpeQ2mJXMYQguyo1Zti4u6Ujc2mWxN0S69xAq +ymJnfzBz1qxZIQHDBo8KXnyoyurXWrOop/atprU5ByODJ36Yg1RtkBx5xakN +4SEBo//pOmlxskDbQauUpOkg0VKccii70bp3rpL5wkJYBs02ojd80cNCkjuo +NQBARtuD2JX7btZjyqY7+2YOHei7q8x8VlY9/WXVwoMWl0ZMQlmDqjZtsb+T +q3GBvLaS+LCvLjdZMSTwxgufeL9/9mn7V9V1Z97zDrvYaPyWXEnO7ICttlw3 +sahn+8hXPKuuvR3pMQyxEi4ZCsGpvRfbrww16vrz8/7l/tkfHSXakZWk7CAh +F2SmXatXtmvcKiiTInpD6YttYS0324he8aXz2CwkuYNaAwBkKJ9euVynz2BZ +wXJ3lw9yJCb/pT01w/yW5VusX8gglFUtrD67Kf7X6Ake3Yq3Es1ZYZOX5kpQ +L83UNcl8l0lJT3TrUZXwIM8l4KRxPW1bz00s6qlH8eg75CrtZOBKmX4HSlG6 +ZfK0/VX6skOISlJ1UFmdEu7l7jWmndHeAZu7l/+zDJUvCGHV9elLIm5RyMpd +Xzqax0aSc9caALCNltuLRr1hWvFao649GTRyfp7xkMVbik9FhfoHbYxZG/bu +OFc3v6Up3QuBU4SihDqgUng6KrFUUvkjr/uwbR+3v4WMnJHZZDZusdqshPDA +KZ8nHYpZHx7k6RN2ND99/5aIOX4eU9Zki8R5c5yHGuYl8fXgV1zm59vpNi47 +eiLPgfTu4JI7CZ+ExpfKDX+hUpJll+3uC23Bd8vN7kVfkJPc0awBAFsgRNlf +TluTIzYdBy358zwm/FDRPcuJposBr7hFaJd0qprUj4c5TT1dp7YYSodKUvNM +YfYJeUCsKjnqcJlco6wyG7Ya+cOvfcasLiRZrckKV3k4B5+rxzVEQ3qQk+ui +35txjUqQyBv+flbl5aDBzoahJc2bM3Tw1Kvs3TMw7hFLetLOgShitqMW3z29 +bUmw14sD3BZlNHQaRqmkDS6TYWdfGJ6bOOeLVUnuWNYAgPXg4hvbIw+Xktwh +Fl19y3XS8RqTzWRd3er4Ct0OgjRvruurnfcv6EK1oxQc4A0cNifPbOeEJGBT ++bGoYxXa9SDZsMXKY8d7LCBbwLUVrx/p1vGJNG/28FGbH7RfJBDPzvNdXj/x +OHf2sCEzOheBkuvThzBdBKpqz3z6XpAJ05fnkk8A7OlJMweiiNna9SkhzV/n +OSQovUHfOGolrXWZHHv78sbIQYN9+Q7mi7VJ7ljWMBkyAGAO0VaWsvPwffLi +hNIboe68H6tMdgeMh0br3S9e8/7modxiKC1q0b1L16rMx415wPtF0W/6jvXV +Mdp1wF9f8vR5a2WBYY5VlG7xGbW8QGZ+CJqBliwU/OTnbNg8f5I0yYV/opbt +m7gs6km/Pmcu5kO58eetdz7zeefXRv33qJW02mVS7OyL5esmDvpidZI7lDUA +YBXYk/NxibfEukdvcHHxuQu13Z5gwspjeGMiTIeHdmiM3f2n9n8qKxP8/bc/ +UlgORQd5QD0q4aHXPU2WlNKb8734KWSDxHSgbTIaaDXYs/S53iHa3QsNXn9u +xtgFGWxXs2dRTy2KR1uR77mTRSPkdVUNmG7KwioOzPp3154etZLsumxnXyyd +mzjqiwG0JHcoawAAHXVDxlKvvz33Fz3PDfCJ/tMknRWPt/nxTW+rtg8Np6HT +1+/YkxD335Wbz2jvxDIIRQNJwC5Ihq3i0Ta/aYeEZr//ILC663sCX36Jt+P3 +yqbyzP+MeXEQf/cVYWNR6lK3vw9flHJPgjVnR3+5Lj7p6J4Ny2NymtldAbKo +pxZlw/0LOwNfft5zTerNchnjGYEkGiG6vmScs1dwRPSRE8k/ZVbKDQtrKiXJ +41jrsv19oT03cdaXLhCSnDwUd60BAPuAi7I3fLSz+zOixlsKrIAWkJDe2hS6 +9W6LQ25c219PhGi0SrLuMqfhlC8asAYAGKAQpscnXnnatabUDY3YcpbPTQwD +KoQZCXsu1TF9Qp2D2FlPxtEsKMm6y1yHK75owBoAYAqBNTZ13K7QqKWFqStG +PP+Pt3dnFErYuMBHC4jL60WYQ14xGWM3PRGi0SrJusuOARd80YA1AAAAAAAA +AAAAAAAAAAAAAAAAAAAAQD8BF+fHfDGDP8pt3IJ9JTKHfxwEYAKYDgAAt5FX +Jh/5Q4JrsMqDgSNCmLxyG3B4wHQAADgOoW5T69bNsnsr+ItvQZ2C/gCYDgAs +Qahg38G+yIp2fZ7IoDxrDwKm2xsOmg4A9kVembbtm5jEwz9uX7VoY1o1yQ/R +sZqs4z8/bLU0+xBYbc7ByOCJH+awV91FVXd23viwzpeM4ZJ7aSm5DWTvF0Np +KtFWdnzF1NecXhjk5r/s2GOUYgIUyCtObQgPCRj9T9dJi5MFGKOm0oKLcmOW +rYtLOhK3dlnsDZHRG9uIluKUQ9mNNv7ikpumWyNjLzmuBzU/abG36QDgSKhr +TkzjrSvSvkSMaL78ge//u22ya6B6+suqhQcZLNgIxbPq2tuRHsPYKlStLQCT +ttjfydX4BZhtJfFhX11uIh2lDJva9iB25b6b9Ziy6c6+mUMH+u4qs/HNLwrB +qb0XqzFtWfDz8/7l3llJh66p9OCNFz7xfv/s0/avquvOvOcddrGxY6Ii5ILM +tGv17acSvFVQJrV2ruKm6VbI2FuOdx4eLT/psbfpAOBYqIQHJ7lM2VvWPrxV +1UfffP3rB90q/bQPmDC/ZflmVdIoQC5UTYey+uym+F+jJ3QvuEY0Z4VNXqot ++GkC06Yqn165XKefm2QFy91dDPWmrQVXyvRbWorSLZOn7e8sAkTZVAuoa5L5 +LoaKOcKDPJeAk9o6CcrqlHAvd68x7Yz2DthcTFLz1xCiPn1JxC0qLbhpOrKM +ved4R1i0/LSA3U0HAAcDb74S6Tt4+Kz/7N8WueHYg+4PqaprTwaNnN+tgCfe +UnwqKtQ/aGPM2rB3x7m6+S1N6XrXP/I0RR1NKTwdlVgqqTQrBko0/xYyckZm +k8ngR22qjpbbi0a9YVoXwZrW6j6V3En4JDS+tGuep2iqRoPVZiWEB075POlQ +zPrwIE+fsKP56fu3RMzx85iyJlskzpvjPNQwf4qvB7/CtNKoAQvFjLhquu5T +pjL2ruOo+dn7pgOAw9FWvCNg5EsDnAKjLtZ33ytvyZ/nMeGHiu4jmWi6GPCK +W4R2aaiqSf14mNPU03X6jQbaaUolqXmmMBux5NGwquSow2Vy0kLV8odf+4xZ +XWiygERtqvZTUfaX09bkkJeIRmltO2rx3dPblgR7vTjAbVFX2T7ypmqRFa7y +cA7WFmwjGtKDnFwX/d6Ma1SCRN7w97MqLwcNdjZMTNK8OUMHT72KdllieZri +oOkaNBl703H0/NTS66YDgAOBCY8unPnDw5aGa9vfHzpo/Nf3jSt/iq6+5Trp +eI3JFrdx7Rhp3lzXVztvDdBNU0rBAd7AYXPyzLYcSKI1lR+LOlahXZ+SjX2s +PHa8xwLTNSVqUzW4+Mb2yMOl5PfFUVrb2vUpIc1f5zkkKL2BoGuqFpoq2Cce +584eNmRG5xJacn36EKZLaFXtmU/fC9LyxshBg335un9OX55rOhlz0XRkGXvP +cWvyU0vvmg4ADkVb8QbfSR11YAjxtU9HeC69ZzRPSW+EuvN+rDLZATEera13 +v3jN+5uH+g0YuiW0WnTv0rUq84nBPNr9oug3fcf66hjtOuCvL3n6vLWywDB3 +KUq3+Ixablo9G62pRFtZys7D96WUw5d5ax92u1fTeuczn3d+bSTomqqFZppK +Fgp+8nM23Hp4kjTJhX+CrC43DfRLaC6aji5jrzluVX5q6VXTAcCxwMrjXh+9 +pGPhh/25e7JftzrOWHkMb0yE6TDTjtaxu3X/T1mZ4O+//VHnnr7i0Vbk2+LU +0TSkhao10pvzvfgppuMWpanYk/NxibfEusegcHHxuQu1jJ/bIgtIyOuqGjqK +7WAVB2b9u2szirypWkynqU1G01QN9ix9rneIdu9Hg9efmzF2QUYD47rfHdBP +U9w0HVXGXnTcAPP81NKrpgOAg0G0lhz88v9b8u0PB/fv2rjhSEn3X4ooHm/z +45veOm4frU5Dp6/fsSch7r8rN5/pvNusbLh/YWfgy897rkm9WS5jPK4oonVA +MvYVj7b5TTskNPsRCdOmqhsylnr97bm/6HlugE+3mRm9tYTo+pJxzl7BEdFH +TiT/lFkpNyhI1VQCq7u+J/Dll3g7fq9sKs/8z5gXB/F3XxE2FqUudfv78EUp +9yRYc3b0l+vik47u2bA8JqcZ+blhC9MUF01Hl7HXHO8CIT973XQA6FPgouwN +H+3s/uSq8S6H7aBFI6S3NoVuvdtCsjVj/6aiBaRpKsfhlOkO5LjGkU0HAIdD +IUyPT7zytGt5qhutHbcrWAAlmkKYkbDnUh3lE8B2bipKQEtN5ThcMd2BHNc4 +vOkA4HAQWGNTx50AjVpamLpixPP/eHt3RqHE5t+oo0XD5fUizMKK1G5NRQvI +pKkchwumO5DjDFsLAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHYEF+fHfDGDP8pt +3IJ9JTLW7mHbKWx/A9zhJuALANgZeWXykT8kuAarPBg4IoS13yzaKWx/A9zh +JuALANgbQt2m1q3PZPdW8BffQqtH0ONh+xvgDjcBXwBHhlA50jW5rGjX54kM +arxyI2x/o1+540ADp1/5AvQKRFvZ8RVTX3N6YZCb/7Jjj8kLCGiwmqzjPz9s +tTRyCKw252Bk8MQPc9gqy67RqOrOzhsf1vnKMlxyLy0lt8HsbWX0yCtObQgP +CRj9T9dJi5MFxj/xJ1qKUw5lN1r3O01clBuzbF1c0pG4tctib4iM3iZnU1hD +EPasYRbKCsAd7g0ccz2t80VPd4s7msthX4C+QtuD2JX7btZjyqY7+2YOHei7 +q8z85Syqp7+sWniQwWKGUDyrrr0d6TGMrbLs2uI0aYv9nVyNX6fZVhIf9tXl +JuYZrBCc2nuxGtMWrT4/71/uXQV9CLkgM+1avbJ9vLQKyqSIYwJvvPCJ9/tn +n7Z/TV135j3vsIuNOAthDbBoDZNQ1gDucG/gUOiJ7Isec4u57QvQV1A+vXK5 +Tj+oZAXL3V0MVaENtCdTmN+yfLOaaxQgV+imbV712U3xv0ZP6F6+jWjOCpu8 +VFuJlBm4UqbfK1GUbpk8bb++5I+yOiXcy91rTDujvQM2F5MUKqVDXZPMdzEU +3BEe5LkEnNQWRrAxrAEWrWEQyqoWgjs6uDVwKPRE9kWHucW974u6Pn1JxC2m +sgJ9gZbbi0a9YVpyQKOuPRk0cn63cqB4S/GpqFD/oI0xa8PeHefq5rc0paty +APIQo46mFJ6OSiyVVJqVFiWafwsZOSOzyXSY0TZMg0vuJHwSGl8q1zAEq81K +CA+c8nnSoZj14UGePmFH89P3b4mY4+cxZU22SJw3x3moYUYSXw9+hWmhUnTY +sYYmFCXgjmU4N3B0n5rpie4LpcV02N0XKAXS3yBE2V9OW5NjVsi5JX+ex4Qf +KroPPKLpYsArbhHaRZiqJvXjYU5TT9fpL8Jph5hKUvNMYbZwI4+GVSVHHS6T +k5a9lj/82mfM6kLzxRVlw9Tiu6e3LQn2enGA26KuonWWkBWu8nAO1tZ7IxrS +g5xcF/3ejGtUgkTe8PezKi8HDXY2jCtp3pyhg6deZe82m3GnWLKGJpQOcMca +ODdwNFR6IvpCZzEtdvYFzk39C1x8Y3vk4VKSG7qiq2+5TjpeYzJfGBe1kebN +dX3VcJuAZogpBQd4A4fNyTPLcpJoTeXHoo5VaJdvZEMDK48d77GAbL1F3TAt +hDR/neeQoPQGhhsbNEW0TzzOnT1syIzOFaDk+vQhTFeAqtozn74XZML05bnk +Zwz2rKEJpQF3Ouktd1gaODR6IvlCbzEt9vbljZGDBvvy6X0B+gZEW1nKzsP3 +paQmS2+EuvN+rDLZsDBO5ta7X7zm/c1D/eYB3fJPLbp36VqV+Tg2j3a/KPpN +37G+Oka7DvjrS54+b60sMIw7RekWn1HLTctx0zesg9Y7n/m882uj7bNfslDw +k5+zYef8SdIkF/4JskLcNsGiNbShtIA7qHBw4NDpieKLBYtpsbMvcN3Ub8Ce +nI9LvCXWPSyDi4vPXajt9sARVh7DGxNhmtDaZB67W1fZWlmZ4O+//VHnTrfi +0VbkW7rU0TSkZa810pvzvfgpZDlNFoqQ11U1dNTVwSoOzPo3810j01G2yWiU +1WDP0ud6h2i3LjR4/bkZYxdkNDCuSc4MFq2xEIoOcIccjg4caj3RfDFAZjEt +dvYFzk39A3VDxlKvvz33Fz3PDfCJ/tNk0lI83ubHN73T257MTkOnr9+xJyHu +vys3n+m8B6tsuH9hZ+DLz3uuSb1ZLmOccxTROiAZGopH2/ymHRKS/VyDJBQh +ur5knLNXcET0kRPJP2VWyhkuywms7vqewJdf4u34vbKpPPM/Y14cxN99RdhY +lLrU7e/DF6Xck2DN2dFfrotPOrpnw/KYnGZ2l+UsWsMgFA3gDgmcHTjUeqL5 +0gXaucn+vsC5CegEF2Vv+Ghn96c6jTcBbActGiG9tSl0690W0kmM3YZxHftb +gxwQ3DHAqYEDvgB9EoUwPT7xytOuJaAumWPL2RxiDKMphBkJey7VUT0DzW7D +HAA7W4MYENzpDlcGDvgC9F0IrLGpYxdbo5YWpq4Y8fw/3t6dUSixeasELRou +rxdhVNs+7DbMYbCbNcgBwR1zuDBwwBcAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAHoHXJwf88UM/ii3cQv2lchYey2XncL2K9jVEByxEbADAHoQeWXykT8k +uAarPBg4IoS1H5rbKWy/gl0NwREbsb8dhLQ47ZIQSrEDgBZC3abWLdpk91bw +F99iq7iPncL2K9jVEByxkZ6wQ1mdujqugPy1FQDQP5EV7fo8kUHhbG6EtRFC +5Uijn10NwREbsa8dssLvFiYxLnoJ9H2ItrLjK6a+5vTCIDf/Zccek9f20WA1 +Wcd/fthKP4qYhUJBXnFqQ3hIwOh/uk5anCzQvlIFl9xLS8ltIHthpWVUdWfn +jQ/rXqS1pTjlUHajdT+Hx0W5McvWxSUdiVu7LPaGyOgVnTaFNQRhzxrt6wlq +cw5GBk/8MIe9Cnvd9bTKGpo+WqOhecLYEg2ltUb0hiMsjRSW7dDDcNzJS779 +YDvzwsdAH6ftQezKfTfrMWXTnX0zhw703VVm/lIt1dNfVi08aHG9xCQUEgrB +qb0Xq9uDqOvPz/uXe2fdtLaS+LCvLjchDxJVbdpifydXozcqE3JBZtq1+val +Gt4qKJMiRsQbL3zi/f7Zp+1fU9edec877GIjzkJYAyxa094mxbPq2tuRHsMQ +qzDQYK4nujWUfbRKQ4qE6fuOsDVS2LVDD/NxJ8qaFWjzrAH0EZRPr1yu0yeD +rGC5u8sHnSUpDbRPwWF+yyy/Ip9BKERwpUy/36Eo3TJ52v7OOm1Ec1bY5KXa +CtIIKKvPbor/NXpCVwVPZXVKuJe715h2RnsHbC42r1VNi7omme9iqJImPMhz +CTiprY2DEFZdn74k4haFsixao4e26jcq5npqQbSGqo9WWkORMDYabbG1xi3o +HUdYGiks29ERE2Hcye6vGP8O47LHQP+h5faiUW+Y1pvRqGtPBo2c360cNN5S +fCoq1D9oY8zasHfHubr5LU3pXvGFIhQl9AFxyZ2ET0LjjS72iebfQkbOyGwy +TWLqOErh6ajEUkklUnVprDYrITxwyudJh2LWhwd5+oQdzU/fvyVijp/HlDXZ +InHeHOehhtlJfD34FabVpQ0wrkTDjjXIM6EVeqJbQ99H1IbpPjVLGPbhnCO6 +T1kYKfQdRG0V2rhTPP5+wjiT0r0AQIiyv5y2JkdsmsUt+fM8JvxQ0T1HiaaL +Aa+4RWgXZKqa1I+HOU09Xae2GEqHSlLzTGH2CWVAtfju6W1Lgr1eHOC2qKuC +p/zh1z5jVhear9/I42BVyVGHy+QaZRXSuUl7e3aVh3Owtkgn0ZAe5OS66Pdm +XKMSJPKGv59VeTlosLPhbCTNmzN08NSraCtghucmtqyhnQlRfKHTE9EaS32k +AjFhWIZzjmhYGimWOkgpCCvjTlm5l+cZDg9SAsbg4hvbIw+XktzcFV19y3XS +8RqTQW5cjEyaN9f11a69fepQ7SgFB3gDh83JM0tTmoAa7c8f8td5DgkyXO5j +5bHjPRaQXaWQxGkqPxZ1rEK7jkM+N5lWl97cVV36xOPc2cOGzOi8bpJcnz6E +6XWTqvbMp+8FaXlj5KDBvnzdP6cvzyWfCdizhmYmRPGFXk8kaxjlDDloCWOB +LkeMcBxH2Bop7NqBPu5UggMT3T+6QfL/0AwC+gxEW1nKzsP3paQ+S2+EuvN+ +rDK5tjdOxda7X7zmrb8Spw2lRS26d+lalXnWUwXspPXOZz7v/Nqo/56idIvP +qOUFMvP45nHuF0W/6TvWV8do1wF/fcnT562VBa3mXyWB5tyULBT85OdsuN/0 +JGmSC/9ELdo63fJ1E4vW0K/SmftiQU8UaxjmDCloCcMeHHSErZHCrh1WjDtl +ZQLPA3VjHOi7YE/OxyXeEuseMcPFxecu1HZ7UAYrj+GNiTBNbm0qjt39p/Z/ +tieUv//2RwrLoeggC0jI66oaOkqiYRUHZv27a6dCenO+Fz+F7ExA3jA9KuGh +1z1tuW7aZHRuqsGepc/1DtFu+Gnw+nMzxi7IaMAtRuyGpXMTi9ZoUTzainzn +HVlPVGuszRm0hGELjjrC3khh0w4DTMcdVraL57Pe6mdVgD6FuiFjqdffnvuL +nucG+ET/aZKMisfb/PimN0XbU9Fp6PT1O/YkxP135eYz2jufDELRQBKQEF1f +Ms7ZKzgi+siJ5J8yK+WGlZzi0Ta/aYeEZD/dIInTBdq5icDqru8JfPkl3o7f +K5vKM/8z5sVB/N1XhI1FqUvd/j58Uco9CdacHf3luviko3s2LI/JaUaeCGnP +TSxao0XZcP/CzsCXn/dck3qzXMb4JIqqJ5o1NuQMUsKwA2cdYWuksGtHF0zH +XVvR2vFBp+sQV3hA/wUXZW/4aGf31YzxJTwrIAQkpLc2hW69S/56E9Ybxmns +bw1atB60hqNGc8oRR7NDkjN7yka4bAJQUAjT4xOvPO1aDupSMbac5XMTk4AK +YUbCnkt1VM+2st4wrmNna1Ci9ag13DWaK444nB1YWWzI6j+Y3QkGAAME1tjU +saOtUUsLU1eMeP4fb+/OKJSwsaOPEBCX14swqr0a1hvmGNjNGrRoPWgN143m +giMOZwdWvn/ejhK4agIAAAC4At50bXPUJXv9IA0AAAAAUCFaik4cuyOGpyAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABYBhfnx3wxgz/KbdyCfSWy +Hnq5fK8cFOgAxGeLvjR2oC8AmyiEl9KKEV9bb4K8MvnIHxJcg1UeDBwRwqTa +KguQHZSQFqddEipov2feXxYU6G/0iuN9Es6MHe6G7ZWDQob3NkRLQdzq09VM +K5xTRVG3qXVTu+zeCv7iHiouSX5QZXXq6rgC8ldQasj6y44C/Y1ecbxPwqGx +w9WwvXJQyPBeRilIWvhdIUl1MOuQFe36PLGc/rKFdUwPKiv8bmGSgPxcY95f +lhWwGkLlkNdtveK4RRxRTE6MHW6H7ZWDcjPD+z7y0u0zvy2RW/6PXeCi3Jhl +6+KSjsStXRZ7Q2T0JhCipTjlUHajPd5aJa84tSE8JGD0P10nLU4WGL+QmOyg +8pJvP9heStYr8/5aoYCufOfxFVNfc3phkJv/smOPKepLYzVZx39+2GppliSw +2pyDkcETP8xBKgOH0DBcci8tJbeBrNAOE+zsOGfFJMk6bitJCo28Nh3UAeYB +xvRKXwBaFGU7Az9E2knFGy984v3+2aftZqnrzrznHXaxscNJQi7ITLtW3361 +grcKyqSsmqkQnNp7sbo9E9X15+f9y/0zw6vuqQ4qypoVuKvM/J365v1FV6Cd +tgexK/fdrMeUTXf2zRw60JfsUKqnv6xaeJDBcotQPKuuvR3pMQyxRClaw9pK +4sO+utxkhS32dpyzYlJkHXeVJIVSXtsO6hjzAIf7AtCDPzs3bfzK+wj7Weqa +ZL7LpKQnuoWjSniQ5xJwUluTWVmdEu7l7jWmndHeAZtZLuGFK2X6PRpF6ZbJ +0/ZXdezXUR9Udn/F+HfSG0wX2eb9RVdAe9ynVy7X6Ue4rGC5u8sHORLTIzVe +CPNbxrhAu+LRd8jlsxEbRjRnhU1emitB3etiwXF1ffqSiFsUWnBWTKqs46yS +pFDJa+OAdZB5gMN9AeiRl3zlM2H7427LUaw2KyE8cMrnSYdi1ocHefqEHc1P +378lYo6fx5Q12SJx3hznoYbZQ3w9+BWX+fns3SXEW4pPRYX6B22MWRv27jhX +N7+lKUYFmHHJnYRPQuNJN+u6o3j8/YRx3zw0/Y/m/SVTAImW24tGvWFaJ1uj +rj0ZNHJ+nvEkQts15OmUXijShhHNv4WMnJHZZDal2t1x2urwtG3u+Hrvimme +ddxU0oqUoKNPzANc6AtgFdKbc0dM2FtpkqyywlUezsHn6nEN0ZAe5OS66Pdm +XKMSJPKGv59VeTlosLPBOWnenKGDp15lYWffANF0MeAVtwjtqlRVk/rxMKep +p+t019Jq8d3T25YEe704wG1RhqVKLMrKvTzPcLNHa8z7S64A89aKsr+ctiZH +bDpLteTP85jwQ0X3sJRdszCdqiQ1zxRm8yBNNIqGyR9+7TNmdSHJ8s/OjjM8 +N3FRTPKs46iS6ClBSx+YB7jRF8AKJDkhw3n/E5jc2W0rXj/SbYHOK2ne7OGj +Nj9oX6AQz87zXV4/8Th39rAhMzrXGJLr04cwXWOoas98+l6QCdOX55qOFV39 +5fgK3TaENG+u66ufGRdSJqT56zyHBJlv15kcTHBgovtHN0w3P8z7S6oA06bi +4hvbIw+Xkty8F119y3XS8RqTkUPdNZrpVCk4wBs4bE6e2UYOjVDkDcPKY8d7 +LCBzy96OvzFy0GBfPpWMdG3W0stiasyzjqtKIqcELX1gHuBIXwB0pHkfu/MM +++id0PiYLBT85Ods2Jt9kjTJhX+iltV7hMY52Xr3i9e8TbbmWu985vPOr430 +7isrE3ge5glm3l9yBZhAtJWl7Dx8n/wHu9Iboe68H03DUneNbqmvFt27dK3K +fFKhikbZMEXpFp9RywtI7q3Z2XHL102cFbOT7lnHVSWRU4KWPjAPcKQvADpt +hZHeE2PLTZ6LMvVxk5GPNdiz9LneIdqLYw1ef27G2AUZDezWk9Tm5Njdf2rb +1H6G8fff/kihIeR1VQ2YLg2xigOz/m3xWh4r28XzWW9299K8v+QKWAZ7cj4u +8VZHKU1cXHzuQm23EFh5DG9MhOnkRda1DhSPtiLfviePRtMw6c35XvwUslFn +Z8ctnZs4KiZ11nFVSeSUoKUPzAMc6QuAjrr2RCBPZ5MBAqu7vifw5Zd4O36v +bCrP/M+YFwfxd18RNhalLnX7+/BFKfckWHN29Jfr4pOO7tmwPCanme0FRntO +Og2dvn7HnoS4/67cfEZ7C5QQXV8yztkrOCL6yInknzIr5RYXS21Fa8cHna4z +zTDz/pIoYBl1Q8ZSr7899xc9zw3wif7TZLgrHm/z45vedibpmhZlw/0LOwNf +ft5zTerNchnjUUESjbZhikfb/KYdEpr9NMf+jtPOqJwVkzrrOKokekrQ0Dfm +AY70BbCCtuKNAeE3UZ5JtTvG1/JWI8mZPWUjyUOf5v21lwK4KHvDRzu7N4GV +rlkZjZDe2hS69S7lq5w4DafE5LCS7GrSu/SlvgDW0PpH5PRoGx6hZh9dTlqx +y2YMVhYbstr41qkB8/7aTwGFMD0+8crTruU+G13rAiWaQpiRsOdSnQO/MpAr +YnJaSXY16V36Ul8Aq2gr+T40upQrJye1tDB1xYjn//H27oxCidVX1lj5/nk7 +Ssh/KmfeX3sqQGCNTR374yx1rRO0aLi8XoRxcJ2PBhfE5LCS7GrSu/SlvgBW +o27IXL/6tz508w9vurY56hLlXVLz/vY5BQAAAPoAuPj2kaMFfaR6EdFSdOLY +HTHdica8v31KAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKBv +gYvzY76YwR/lNm7BvhIZPPtuDRzUkINN6sOA2gDANvLK5CN/SHANVnkwcEQI +k4qygClkGhLS4rRLQvpXhCiEl9KK7fNTOLC1J7E2AQAAoIRQt6l1s6Ps3gr+ +YrPyvgADyDVUVqeujiugfI8r0VIQt/p0tZ3epge29iRWJQAA9CKEymESU1a0 +6/PEcq4t8xxIQI25hrLC7xYmCcjPPkpB0sLvCklKCtq3SYA9QUkAAGAK0VZ2 +fMXU15xeGOTmv+zYY4qK01hN1vGfH7ZamjEJrDbnYGTwxA9zkMrSkSOvOLUh +PCRg9D9dJy1OFmjfpoxL7qWl5DaYVf2hbxN1B4mW4pRD2Y22vQmTswKSN8wq +DUm8MByFREN5ybcfbC8lq+glL90+89sStFpf5DiQrcxCWYGq7uy88WH5+vI0 +1jlryxF1oCUAADCl7UHsyn036zFl0519M4cO9N1VZv5KfdXTX1YtPMhgFUoo +nlXX3o70GIZYMpUMheDU3ovV7Y1R15+f9y/3z/T1OtpK4sO+utzEfN6h7CAh +F2SmXatvX93hrYIyqbUzGWcFpG4YsoYUXlBrKMqaFUgmhKJsZ+CHrNwFciBb +mYSyBlVt2mJ/J9d5RmcKZGdtPSJqAgAAU5RPr1yu06eQrGC5u8sHORKT/4I3 +XgjzW5bPtHag4tF3yOW8ycCVMv3GlqJ0y+Rp+6v0WwREc1bY5KW5EoaLT6oO +KqtTwr3cvca0M9o7YDNJEUUD6vr0JRG3KPrPWQHpGoaoIZUX1BrK7q8Y/056 +g2l8/Nm5aeNX3mdhR8+BbGUQyhqU1Wc3xf8aPcHD+NyE7KxtR0ROAACwipbb +i0a9YVq3W6OuPRk0cn6e8RDEW4pPRYX6B22MWRv27jhXN7+lKVWGxSPy1Eob +TYNL7iR8EhpvtD9ANP8WMnJGZpPZxEcbh7qDFrFQxdtS/F4WkLRh1mlo7gUV +isffTxj3zUPT/ygv+cpnwna0KpR9xVZrmkodUCk8HZVYKqn8kdf93ETprP2O +SApFAgCAFRCi7C+nrckRmyZ1S/48jwk/VHQfTkTTxYBX3CK06zNVTerHw5ym +nq7TX8/TTq0qSc0zhdmwoYymFt89vW1JsNeLA9wWZRjKSckffu0zZnWh+ZKY +plU0HbQIw0mMiwJSNgxdQ3IvKFBW7uV5hps9Jie9OXfEhL2ViGeRvmGrpaai +OItVJUcdLpNrlFXmZwpKZxmCfkQyKBIAAJDBxTe2Rx4uJblNK7r6luuk4zUm +k5Gu3HN8hW6rQpo31/VVwz0ImqlVKTjAGzhsTp5ZZlNH00JI89d5Dgky7BBg +5bHjPRbkk+Q9TRzqDlKhqj3z6XtBWt4YOWiwL1/3z+nLc8mnFs4KSN4wqzTU +mHtBgUpwYKL7RzdM2ynJCRnO+5+g+936Lp2N6KZzn7CVvqkozjaVH4s6VqG9 +miE7U1A6a1lnK49IBkUCIDQDADS654hSdh6+T/5rSOmNUHfej1Uma13jBG69 ++8Vr3obrd7plv1p079K1KvPRSR2tg9Y7n/m882uj/nuK0i0+o5YXkNy1oIpD +20GLWF5gc1ZAyoaha9hJdy8oUFYm8Dzmm02Q0ryP3Xn7TaWwSB+w1WJTmTt7 +vyj6Td+xvjpGuw7460uePm+tLDCsH6idZQjyEcmgSAAAQAF7cj4u8VZHmVtc +XHzuQm23x2uw8hjemAjTXNcm8Njdf2r/Z3sa+vtvf9S5sa54tBX5Vj5ZNEJe +V9WA6cYqVnFg1r+79pGkN+d78VNqSbaVyFtloYMWsTSJcVRA2oahaUjtBQVY +2S6ez3qzJxHaCiO9J8aWoz6+5fC22tBU6jxpRyU89LqnyVUMtbP2OiIZFAkA +AIxRN2Qs9frbc3/R89wAn+g/TcaN4vE2P77p/dv2BHYaOn39jj0Jcf9duflM +5y1fZcP9CzsDX37ec03qzXIZXVV3S9EI0fUl45y9giOij5xI/imzUm5YUSoe +bfObdkhI9jMOkjgMOmgJ2kmMswLSNgxNQ2ovqGgrWjs+6HSdafvVtScCeZse +oN4hd2xbbWsqRZ50QHKmoHHWTkckhSIBAIBVcFH2ho92dl8DGV/42w5CNEJ6 +a1Po1rvkb0Rht1WswSkBNT2hoSRn9pSNJKvmtuKNAeE3mT5Nz2qT2Mf+tiIH +pHXWLkekgCoBAIBlFML0+MQrT7vWiLoERt+doYBxNIUwI2HPpTqqGxbstopN +uCKgpkc0xMpiQ1b/QXZDovWPyOnRaA+R92NbEQNacNYOR6SCOgEAgHUIrLGp +45aDRi0tTF0x4vl/vL07o1Bi82/QEaLh8noRRrUmZLdV7MMFATU9oiFWvn/e +jhLyRXNbyfeh0aUIJ6d+aytyQFpn7XJEKugSAAAAoFfAm65tjrpE+bSEuiFz +/erfGuBORJ/FQgIAAAD0PERL0Yljd8R0px5cfPvI0QL71G8CehsGCQAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD0Lrg4P+aLGfxRbuMW7CuRwXO9 +dgSk7jFAahYBMQFKFMJLacX2+T2IvDL5yB8SXINVHgwcEcKkCihgJWRSE9Li +tEtC+rck2NH9vgpkNYuAmAAFREtB3OrT1Ta+JIsyurpNrZv2ZPdW8BdDnUo7 +Qi61sjp1dVwB5cs57et+XwWymkVATIAcpSBp4XeF1lcKY4isaNfnieWI7+AE +rMFUalnhdwuTBORnnx5y3yKEyiGv27iZ1SAm0BeQl26f+W0JasEbMoi2suMr +pr7m9MIgN/9lxx4bV9gkWopTDmU32vYCLJr4RmA1Wcd/fthKPziZhUJBXnFq +Q3hIwOh/uk5anCzQvmIZl9xLS8ltsKHODdLhOiGTWl7y7QfbS8k8tsp9Fo3Q +vsm0NudgZPDED3OQah0iNMxGI3BRbsyydXFJR+LWLou9ITJ6VQ7XsppdMTtR +1Z2dNz6ss6ASt8UE+hKKsp2BH7Kyxdv2IHblvpv1mLLpzr6ZQwf67irTT5mE +XJCZdq2+fd2OtwrKpNZmH2V8I1RPf1m18KDFpReTUEgoBKf2XqxuD6KuPz/v +X+6f6V/e31YSH/bV5SbWxxvF4ailFmXNCiTrpFXus2hEe4sVz6prb0d6DEOs +w4vWMOuNwBsvfOL9/tmn7V9V1515zzvsYmPHhMq9rGZXzM5j16Yt9ndyNS72 +x10xgb4E/uzctPEr77Owp6N8euVynX5cyQqWu7t8kCPR/b06JdzL3WtMO6O9 +AzbTVQNT16cvibhFUReOKr4R7akf5rfMcslMBqEQwZUy/TaKonTL5Gn7q/Qb +aERzVtjkpbkSlrdYKA5HLbXs/orx76Q3mDbDKvdZNEKP4tF3yDXiERtmrRHq +mmS+y6SkJ7rrBJXwIM8l4KS2GjkHs1oPS2Lqm1d9dlP8r9ETPLoVouWqmECf +Ql7ylc+E7Wil2PCW4lNRof5BG2PWhr07ztXNb2lK97LKmpbbi0a9YVpM2jK0 +Nawtx1fXngwaOT/POHFZbyp9QFxyJ+GT0Hij3TOi+beQkTMym6w8OaEejgrF +4+8njPvmoel/tMb9brBjBPJ0aoWtlEZgtVkJ4YFTPk86FLM+PMjTJ+xofvr+ +LRFz/DymrMkWifPmOA81nC/E14NfcZmfj3azvoezmkUxlcLTUYmlksofed3P +TY4gJuDwSG/OHTFhbyXiWYRouhjwiluEduWkqkn9eJjT1NN1XdfhhCj7y2lr +csTI8zHDxKOK35I/z2PCDxXd+2JDU1WSmmcKs08oA6rFd09vWxLs9eIAt0UZ +htoy8odf+4xZXWh1FTTEw1GgrNzL8ww3ewLKOve72saSEbTTKaILlA2jNkJW +uMrDOfhcPa4hGtKDnFwX/d6Ma1SCRN7w97MqLwcNdjZMoNK8OUMHT72Kdk3S +w1nNmphYVXLU4TK5Rllldm7ivJhAH0CSEzKc9z9B91ubqtozn74XZML05bld +40ZXVTm+QrcZIc2b6/pq1y0PXHxje+ThUoTHC7oO98bIQYN9+eaHM4Y6vujq +W66TjteYTNPWNlUpOMAbOGxOntn+AU1Ajfb3RPnrPIcEGfbPsPLY8R4LSFaH +lkW25nAUqAQHJrp/dMO0L1a63wF7RtBMp9a4QN4wSiM0bcXrR7p1fCLNmz18 +1OYH7deXxLPzfJfXTzzOnT1syIzOpb7k+vQhTJf6vZXVLInZVH4s6liF9vqJ +7NzEbTGBPoE072N3nuH2CGOMk7n17heveev3i4i2spSdh+9b+TtOy4si2vjS +G6HuvB9N+2J1U9Wie5euVZnPFlQBO2m985nPO7826r+nKN3iM2p5gfU39NAO +R4GyMoHnYT4PWOm+hlUj6Jf6qC5QNozaCJrpNFko+MnP2XCL5EnSJBf+iVq0 +W/U9mtVsiXm/KPpN37G+Oka7DvjrS54+b60sMCyKOCwm0FdoK4z0nhhbjvqY +mjaZx+7+U/u19mnP33/7I+0KC3tyPi7xVkdBSlxcfO5CLVpcS4lnIT5WHsMb +E2E6YFhvKllAQl5X1YDpxjxWcWDWv7s22aQ353vxUxBHoPWHowAr28XzWW92 +k9lK99k0Qovi0Vbk2/fItlIbYTqdbjKaTmuwZ+lzvUO0e1QavP7cjLELMlCL +vfdgVmthT0w9KuGh1z1Nrps4KybQd1DXngjk6fIHifZkdho6ff2OPQlx/125 ++Yz23qm6IWOp19+e+4ue5wb4RP+JOOnRJh6D+IrH2/z4pjeTWW8qSUBCdH3J +OGev4IjoIyeSf8qslBtWpopH2/ymHRLa8CMnpMNR0Va0dnzQ6TrTicAq91k0 +Qouy4f6FnYEvP++5JvVmuYzxVIVqK5URBFZ3fU/gyy/xdvxe2VSe+Z8xLw7i +774ibCxKXer29+GLUu5JsObs6C/XxScd3bNheUxOM/Iqo6eyWgt7YnZBcm7i +qJhA36KteGNA+E3UhzKNNwE4BC7K3vDRzu6XB6w3FSEgIb21KXTrXcr3BbF8 +OGokObOnbCR5Ntc69y1jfyPQorFhRK8BYgL9k9Y/IqdHoz5GrEtmKzaD7I9C +mB6feOVp1yqT9aYyDqgQZiTsuVRn45vq2Gg/VhYbstr4EQoDVrnPCDsbgRKN +HSN6ExAT6I+0lXwfGl2KMD2ppYWpK0Y8/4+3d2cUSjj4E24Ca2zquBnDflMR +AuLyehFm49qSnfZj5fvn7Sghf4wd2X0E7GYEWjQ2jOh9QEyg/6FuyFy/+jfU +u5KAg4A3XdscdYnyaQlwHwAAroKLbx85WgAVfPogREvRiWN3xHSnHnAfAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIDeAhfnx3wxgz/KbdyCfSUy +1h5rtlPYXjlor/SljwEa2g5oCPQn5JXJR/6Q4Bqs8mDgiBDW3ulop7C9ctBe +6UsfAzS0HTINCWlx2iWh8UtGmPwFABwAQt2m1q3AZPdW8Beb1WnlWNheOWiv +9KWPARraDrmGyurU1XEFxq+BZfIXAHAYZEW7Pk8sZ31xZaewvXLQXumLRQiV +I005oKHtmGooK/xuYVK3ih5M/gIAnIFoKzu+YuprTi8McvNfduyxcS1OoqU4 +5VB2o3UvscRFuTHL1sUlHYlbuyz2hsjoXT02hWWEqu7svPFh3SrdcLkvNBYY +gdVkHf/5Yaul6ZLAanMORgZP/DAHqaodLd31xCX30lJyG9BKYdkrzRjEN6IX +NCRvmFUadsIwveUl336wvVSO+BcA4AhtD2JX7rtZjymb7uybOXSg764y/Qv6 +CbkgM+1affuaCm8VlEkRZw688cIn3u+ffdr+NXXdmfe8wy424iyEZYSqNm2x +v5OrURU2bveF0gLjPj39ZdXCgwyuLAjFs+ra25EewxArrtJgrqemrSQ+7KvL +Tcx7bKc0sxzfuB+9oSF1w5A11MM8vUVZswK7C8HkLwDACZRPr1yu02emrGC5 +u8sHORLd36tTwr3cvca0M9o7YDNJNTxa1DXJfJdJSU9060KV8CDPJeCktnC0 +jWGZoKw+uyn+1+gJHobBy/G+UFlgRPvZMcxvWT7T0oOKR98hVwOnbp6ZnlqI +5qywyUtzJQw3vVhIM3V9+pKIWxQScFZDuoYhaqgPiJDesvsrxr+T3mAUn8lf +zKBVHgBsBm8pPhUV6h+0MWZt2LvjXN38lqZ0L/msabm9aNQbpjWnqcBqsxLC +A6d8nnQoZn14kKdP2NH89P1bIub4eUxZky0S581xHmoYhuLrwa+4zM9n7043 +dV+UwtNRiaWSyh953edS7valG+QWqGtPBo2cn2fcHVo3kedVK/Qkmn8LGTkj +s8l0UmM5zbpgXASccxpSNgxdQ7T0Vjz+fsK4bx7K0f5iBpRfB+wN0XQx4BW3 +CO1CTVWT+vEwp6mn67p2FAhR9pfT1uSIGa/iZIWrPJyDz9XjGqIhPcjJddHv +zbhGJUjkDX8/q/Jy0GBnwwwuzZszdPDUq+zd/6DqC1aVHHW4TK5RViGdm3q5 +L12dorCgJX+ex4QfKrrPtjRu0s6rKknNM4WZyeh6yh9+7TNmdaH5lQ7LadYJ +wxmScxrSNQxRQ9T0Vlbu5XmGGz/9yOQvZsC5CbA7uorP8RW6LQZp3lzXVz8z +lAfHxTe2Rx4upbiFTEpb8fqRbgt0c7Y0b/bwUZsftC++iGfn+S6vn3icO3vY +kBmd1xqS69OHML3WUNWe+fS9IBOmL881nWxI+tJUfizqWIV2gYl8burdvnRA +bYHo6luuk47XmNyZoHaTZl5VCg7wBg6bk2cmDbKeWHnseI8FZEKwmmZdGr4x +ctBgX76DaUjfcSQN0dNbJTgw0f2jG1K0vxg+QVIeAGzBOOFb737xmrf+Wp5o +K0vZefg+YlE7mvk8WSj4yc/ZcI/mSdIkF/6JWlafezDvy/2i6Dd9x/rqGO06 +4K8vefq8tbKg1VIgDvRFY8EC6Y1Qd96PVSa7VFRu0q/51aJ7l65VmU/eyHoq +Srf4jFpeIDM/BLtpZmi4xdU7BzW00HEUDa1Ib2VlAs+j2zqKyV/MuwvXTYC9 +0Sb82N1/ahO+PSX9/bc/0q7CsCfn4xJvdRRkxcXF5y7UMntqx3Q+32Q0n9dg +z9LneodoN8k0eP25GWMXZLBcbJy8L3pUwkOve9py3dSzfbFkAVYewxsTYTqF +USugeLQV+T4+sp7Sm/O9+ClkJ2l206wTSzMkZzWkaRiqhnqYpjdWtovns974 +ARMmfzEDzk2A3WlPeKeh09fv2JMQ99+Vm89o76+qGzKWev3tub/oeW6AT/Sf +TOYMAqu7vifw5Zd4O36vbCrP/M+YFwfxd18RNhalLnX7+/BFKfckWHN29Jfr +4pOO7tmwPCanme0LDZK+dIF2burlvjCwQPF4mx/f9PY+hQLKhvsXdga+/Lzn +mtSb5TLGJ1FUPRWPtvlNOyQk+4EOi2lmBO0MyVkNaRuGpmEXTNO7rWjt+KDT +dTjaX8yAcxNgd4w3ChydvtQXy+Ci7A0f7ey+umVXAbRohPTWptCtd8lfd8NR +a/qfhpKc2VM2duswk78AQM+jS/jYcq5NGlbRl/rCCIUwPT7xytOudT+7CqBE +UwgzEvZcqqN6Cpy71vQvDbGy2JDVf7Qi/gUAehq1tDB1xYjn//H27oxCiR3f +F9QT9KW+IEBgjU1YxzKbXQXQouHyehFG9UAD163pPxpi5fvn7ShpQ/wLAAAA +ANgLvOna5qhLDWq0vwAAAACAvSBaik4cuyPG0f4CAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAkIGL82O+mMEf5TZuwb4SGbws3r6A2vZG+eSn+W9+ +X2q5TDlgAVCSRfqsmArhpbRiK1/EbwF5ZfKRPyS4Bqs8GDgiBF5/aF/I1Cak +xWmXhPRJa54AdkwJB4aQPTq5ext/8pY+OAn0LKAki/RZMYmWgrjVp6tRCz4z +ja5uU+tmONm9FfzFtMUiAZshV1tZnbo6roD8DZkasgSwb0o4LLgo/8iJBzVX +Z/L73CTQw4CSLNJ3xVQKkhZ+V0hSq4tdZEW7Pk8s71vScRdTtWWF3y1MEpCf +a8wToIdSglA51GWZsvbCof+rxjTibC5OAo4kJreVdDD6sJjy0u0zvy2RsxCJ +aCs7vmLqa04vDHLzX3bssXGNS6KlOOVQdqNtb6GiiW8EVpN1/OeHrfQDlVko +K1DVnZ03PqyzTAwuuZeWkttAVmyGNbofUQeZ2vKSbz/YXkpms3kCkKUEi+Jr +Xx5am3MwMnjihzlIdejIY5E2zEblcVFuzLJ1cUlH4tYui70h0r2jRlEWO/uD +mbNmzQoJGDZ4VPDiQ1VWv/Gas2Jq5BWnNoSHBIz+p+ukxckCbQf7jZLszwmO +JibXUJTtDPyQlbtAbQ9iV+67WY8pm+7smzl0oO+uMr1IhFyQmXatvn3RjrcK +yqTWnqAo4xuhevrLqoUHLV6dMQllDaratMX+Tq7GJczaSuLDvrrcZK93Q5of +kUptUdasQLJ+micAWUqwKH57ExXPqmtvR3oMQ6yRSgZ1w6xXHm+88In3+2ef +tn9VXXfmPe+wi43Gb1CT5MwO2GrLApWzYioEp/ZebF+Ca9T15+f9y/0zfSGI +fqEk63OCw4nJNfBn56aNX3mfhe0b5dMrl+v0dsoKlru7fJAj0f29OiXcy91r +TDujvQM205XkUtenL4m4RVGakiq+Ee3mhfkts1zbkkEoa1BWn90U/2v0BI9u +5TWJ5qywyUtzJfbYcTE/IrXasvsrxr+T3mDaDPMEIEsJFsXXo3j0HXL9bhLo +Gmat8uqaZL7LpKQnutWtSniQ5xJw0rgGOINJoKcyWQ9LYmpwpUy/M6go3TJ5 +2v4q/SZwLypJC6fnBEcTk3PIS77ymbD9MVKP8JbiU1Gh/kEbY9aGvTvO1c1v +aUr3+sealtuLRr1hWsvZMowLGZPHV9eeDBo5P884DVlvKnVApfB0VGKppPJH +XvdzU3su/hYyckZmk5UnJyuOSIri8fcTxn3z0HRXzzwBLKUEO+IjT6dWWEmp +PFablRAeOOXzpEMx68ODPH3Cjuan798SMcfPY8qabJE4b47zUMPUJL4e/IrL +/Hy0Z3h6OJNZFhOX3En4JDTeaAe495RkDBfnBN2njigmJ5DenDtiwt5KxLMI +0XQx4BW3CO25X1WT+vEwp6mn67rO4IQo+8tpa3LEyJMxwxFNFb8lf57HhB8q +uvfFhqaqJDXPFGafkAfEqpKjDpfJNcoq8zOF/OHXPmNWF1pdjQz9iGQoK/fy +PMPNnpM0TwD6lGBLfNrpFEV5uoZRKy8rXOXhHHyuHtcQDelBTq6Lfm/GNSpB +Im/4+1mVl4MGOxuGvTRvztDBU6+iXZP0cCazKaZafPf0tiXBXi8OcFuUYahT +1GtKMoSLc4LGUcXkCJKckOG8/wm635xT1Z759L0gE6Yvz+2yS1f+OL5Cdw0s +zZvr+upnhhrFuPjG9sjDpQi3ErsO98bIQYN9+eaHM4Y6vujqW66TjteY7ORa +21Sl4ABv4LA5eWaTPknApvJjUccqtGslsjMFVh473mMByRLHss5WHpEMleDA +RPePbpj+P/MEIE0JPeyJTzOdoihPbyWl8pq24vUj3To+kebNHj5q84P2dS3x +7Dzf5fUTj3NnDxsyo3OBKrk+fQjTBWpvZTLLYmq0v4nLX+c5JMiwB9x7StIP +jQ64OCc4rJicQZr3sTvPsBXKGGMvWu9+8Zq3frOIaCtL2Xn4vpU/2bS82qSN +L70R6s770bQvVjdVLbp36VqVeZKaB7xfFP2m71hfHaNdB/z1JU+ft1YWGJJT +UbrFZ9TyAuvv6SEfkQxlZQLPwzyZzROAMiVYFJ9+qc9ceQtWUitPMwkkCwU/ ++TkbNvafJE1y4Z+oRbt33aOZzK6YnbTe+cznnV8b9d/rNSUtw805wUHF5BJt +hZHeE2PLUR9J0Xoxdvef2q+1z3n+/tsfaZfw2JPzcYm3OqpC4uLicxdq0eJa +GtEW4mPlMbwxEaaWs95U8oB6VMJDr3uaXMVIb8734qfYkEbIRyQDK9vF81lv +9iiKeQJQpASL4mtRPNqKfPse2Upq5U0ngU1Gk0AN9ix9rneIdmdFg9efmzF2 +QUYDYqXTHsxkLWyJScjrqhow3QyKVRyY9e+ubaheU9IS3J0THFBMbqGuPRHI +0ymARLsXTkOnr9+xJyHuvys3n9He+lM3ZCz1+ttzf9Hz3ACf6D8RT3m0I5pB +fMXjbX5803uYrDeVJGAXJGcKxaNtftMOCW34kRPqEUlpK1o7Puh0nWk2mycA +WUqwKL4WZcP9CzsDX37ec03qzXIZ4wGGaiWV8gRWd31P4Msv8Xb8XtlUnvmf +MS8O4u++ImwsSl3q9vfhi1LuSbDm7Ogv18UnHd2zYXlMTjPysqKnMlkLe2IS +outLxjl7BUdEHzmR/FNmpdxwfdB7StLC5TnB4cTkHm3FGwPCbzJ9WLUT42tY +DoGLsjd8tLP7tQHrTUULSEhvbQrdepfyfUHsH5ECSc7sKRtJnuA3TwDrUqIH +xO955XsNTokJSlqiv4jZw7T+ETk9Gu0hcr0X6FuBPYBCmB6feOVp1zqJ9aai +BFQIMxL2XKqz8b10bHQBK4sNWf0H2R0p8wSwKiW02Fn8nle+N+GKmKCkZfqR +mD1KW8n3odEov9lSSwtTV4x4/h9v784olHDwupLAGps69nnZbypaQFxeL8Js +XCCx0wWsfP+8HSXkj7GbJwBySnRhN/F7XvnehwtigpKW6Hdi9iDqhsz1q3/r +2/fV+jd407XNUZcaqMaNeQJASgAAwAFw8e0jRwugWE/fhGgpOnHsjpjuRGOe +AJASAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgNXg4vyYL2bw +R7mNW7CvRAbPpiNjJwHBF9sBawDAYZFXJh/5Q4JrsMqDgSNCmJSEBbphJwHB +F9vpQWsIaXHaJWEfKrwOAL0NoW5T61Z+snsr+IvNyu8ClrCTgOCL7fSoNcrq +1NVxBfCq2P4IoXIY2x2oqQZkRbs+Tyzn2sLPgZS0k4Dgi+30kDWywu8WJgng +dbHcR16Ztu2bmMTDP25ftWhjWjWJZVhN1vGfH7ZaynICq805GBk88cMcpBpt +5LHayo6vmPqa0wuD3PyXHXusL5SJS+6lpeQ20FRy6oWmauQVpzaEhwSM/qfr +pMXJAoxRO2nBRbkxy9bFJR2JW7ss9obI6F1JREtxyqHsRttesEmurSkOrCRN +B20SsL/6Yu1gJMPcYsNRes4aecm3H2wvRa25B/Qw6poT03jrirQv2CaaL3/g ++/9um1xRq57+smrhQQaLGULxrLr2dqTHMMT6oWS0PYhdue9mPaZsurNv5tCB +vrvKOrO4rSQ+7KvLTaQZ3CtNVQhO7b1Y3d48df35ef9y/0xfRoOunfTgjRc+ +8X7/7NP2r6rrzrznHXaxsWOoEXJBZtq1+vbFA94qKJNaOxFSa9uFQytJ2UHb +BOy3vlg3GEmhsLjHrRFlzQok0xfgEirhwUkuU/aWtae7qvrom69/3b1ea7vr +YX7LLBeF1aN49B1ybWsSlE+vXK7TZ46sYLm7ywc5ks7PiOassMlLcyVmC8fe +aaoGV8r0+yaK0i2Tp+2vUlpopwXUNcl8l0lJT3Tr0XZ3eC4BJ7XVp5XVKeFe +7l5j2hntHbCZpMhhV4j69CURtyiEoNO2s0sOrSRVBxEEJKPf+mLVYKSAwuIe +t0Z2f8X4d9IbHGm/sz+CN1+J9B08fNZ/9m+L3HDsQfcnLdW1J4NGzs8zHg14 +S/GpqFD/oI0xa8PeHefq5rc0pavGOfJwoI2mo+X2olFvGNeEJpp/Cxk5I7PJ +JLF6uam45E7CJ6HxRhsFFO3UaLDarITwwCmfJx2KWR8e5OkTdjQ/ff+WiDl+ +HlPWZIvEeXOchxqGv/h68Csu8/PR7g7TFjQ3xkzbjq87ipJWJA8d4AtrgxHZ +YguwbY3i8fcTxn3zEHb1OE9b8Y6AkS8NcAqMuljfffu4JX+ex4QfKroPEqLp +YsArbhHa1ZKqJvXjYU5TT9fpr5Zph4NKUvNMYTZT00TTfirK/nLamhyx8dfk +D7/2GbO60GRx1ZtNVYvvnt62JNjrxQFuizIMVZ7I26lFVrjKwzn4XD2uIRrS +g5xcF/3ejGtUgkTe8PezKi8HDXY2DC1p3pyhg6deRVv7MpwDybTV4kBKoicP +LeALS4ORLhS5xZZg1xpl5V6eZzg8VMlxMOHRhTN/eNjScG37+0MHjf/6vszo +Q9HVt1wnHa8xSSBdAeX4Ct11vjRvruurhn1jmuGgFBzgDRw2J89sR4I6mgYX +39geebjU5K4wVh473mOB6cKol5uq0f50In+d55Agw1YBeTu1tBWvH+nW8Yk0 +b/bwUZu1G6nEs/P8/5+9N49r4t7+/+tf91F7e1vrpSpcrheE4oKgRis1LK3e +tlRsbal+XAp+H7a2FhUt7kW7aS0qslixekHFBaigPK5XfkWxFiuCgBt7RSlL +IgRZswBJJslMfiRAyDIzmUkmJIHz/MvHSM77zHmd93ve837PzHF6NfVxwZIJ +4xYNTAKFtxaOozo/l/MufPx2gIrXJo8Z681W/3PhhgL8sRk/tirsKZK0k4cU +0IWhzmjElNJQYmMwK42cc3y26we3qa6OAlZBXLnDe05srSqDMMHNjye5h5Vo +XZxEt4NdWT816C0uaGdd94PPXvHU3B2TTdUU/JJrNxsM+xyRNUxck3bgZJlh +dT5p9R6vKRtKe3SPWtPVAbrvfeL15i/tGJmfKkg6WgqXc9bHUbN4/iR5jhM7 +lUdvb9j4/JwwtirsKZK0k4cU0IWhzkjuWB+6EhuDWWlk9QksN7pLssAQg9TG +vTp1bd/+KvLnobk+0X8i2v8bw5oWrp95qqybfkj9d70i+/pGPRpYSpY+2kt7 ++xXfGvLkclzinb5as6ig8tIVnsYtUdEKD3aafvJZy1VM0tzQhqh7GFJ3fPHn +g8sU+H6q0O9ou7Q6WhPSmrXMM0i1eqFEWy4tmr4ym25pd2NjIEls1f9tR5Gk +nTykgC4MdUYiU8QSG4NZaZCagyyv7XSfuQCGGKy7Kmnd/6397sekYwd37jhV +pfvmhPTxPh+2/q5sb9Y5jF+4ff/hhLhvN+2+MLDJKWsru3LA/6Xn3LdkFNX2 +UO63ONYUbdlhHs+OeqafUaO9tK6Y0kf7fBac4Bq8V2EdVzH+rbUzHD0Cw6NP +paaczamXaMJH5CeGNN867P/Si6z9v9V31OZ8M+35MexDN7jtFRlhLn+buDqt +RIh05kWv2xaffPrwjg0x+Z20H0omHQNJY9vvuZ1EEt8OhRPEBXTBt2ZSZ8Q3 +RSwxOYxLI67YOjMgvZnm3AKwLVB+3o4PDujOMLTv1s2HnjVMdGdX8N4HeJ8c +sSlXSfy0fewnksx6ZevYlC5KO5ZGmL9k3k64bbJ/pNys+MQbTwena+qs69uj +YgA61qTc7ITD15oJnwm2FVeN+Wn72EkkmfXKDrAVXZT2LA1SExu0WfvJDMB+ +wZD2jr5lYqVCVJ6xcdJzf//3oexyoXkfaaFtDZW08BEjdyK24CoVP20fm48k +s17ZDbagi9KepUFqjy3fXwV3TQAAAICtgHbc3B15jfJDGAAAAABgYbCuitQz +9wTwFAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAZqKA45rNF7Cku +M1Yereqx+xdKbRkIte0AWgAAA0i51zIradYDoIikPuXUfSGqROqT/CcFUSna +CZgIXqgxUWXmNa7U2E+pYMEkGX5YWAsAGAlgXaVxm9MbLfTtNkwhVqjHs56S +jew1UCnSguCHWtaYsTmu1Nxvxlo2SYYfltQCAEYGMk7yqu/LcWp7MUtPxcFP +E2th0jgE6Ie6p/z7Vckcsy4rQ5QkmHy4DdsW0AIARgaS6qj3vquSGP9DCqbq +zu8IDfKb+g/nOWtSONrfD8a6KtNO5LWb9wkqTFxzbuP8Vxz+OsbFd/2ZxwS1 +spGm3HP/fdhtZIwjdtUM5M0Xl88MKe4v1IwKSzLTCtrwKtMwhm6LavBCLan6 +7t2oajM0xksSJuVQYggvPykicPb7+bQq2RF4ayCuRbWgl/ZmawEAIwNpzQH/ +9xnZBZJyzh+52tjbNRUtl5f/0/UTzSfkMQknJ/NmS+9cEe3m1IhMvUCJ/4jd +dLSoBZF13Dv63vgXvA/WGF5S5E//98WqJKN3Z4SumoOcl7nG18F5udaVQlwV +H/Ll9Q5LfRXSsEWiUPNzF/vjxYsieEnCoBy9fktbG3l3I9wm0KyyiussvriW +0oJ22pupBQCMDNDWSwtmbipjYrEGlfX0r8hIq/fMXXCsoW/hQtaYFurh6jGt +l6mefrvJ6nEpWrLWht8R4f+n7OmN6839PbqndIOr07v5Qn0P2q+E+KwvJjBg +3FVzkDVe3BX/S/QsN+1rkxLrzA2ZG1YgtMRKlWGLxKHuKds4882sNjI3SIKP +lyRMytGH9NH3tCuA43pLIK6FtKCd9hS0AABAUvWl16yox7S2gdCuyvORwb4B +O2O2hrw1w9nFJyytYdAAKryX8FFwvCmrFqQlp7Xpurt6ymv6taWVCt7PAZNX +FGqPhcy6SmxNxk2PTKwW1v/E0r029Q6IvwZNXpTTYeJIZEKLuEgf/zBrxtcP +yU6UJPjGkoQZOWhfm+iKazEt8JsjgoIWAACIipZNmnWknuZ9A9Zx1e9ll3DV +HFTelPHhBIf56c3qNQuF4EH6vrWBHs+PdlmdTbvCCcVrE8bPW7dgS75Af4zp +Kl7uNuvHOt1zMdVVubCpVWowiuFbQxpSIk/WSJSyBsMrheThV17TNpebXIeM +fot4yOqPsNxDSR+SJAk+eZIwI4eRaxMdOZRE4lpGC8LmCKCgBQAAwvygiaz/ +cHQ3ieW8Cx+/HaDHwg0Fg8OPulxyfJ16TUdUuMz5XzpbNpioeJv7uACq6xaD +zb02ecxYb7Zhc9qggttRESercbbe+b+/4TznXJPe0GCSqzLOcdYLE5YWGgz6 +ONY6as9EnqlTzaDxrhRIbexMt5XFhiOR8SCb2CIecs7x2a4f3Mb5OyrBx02S +fpiTg+TaREcOEnEtoQX9tCfWAgAADaLCD11Z9PdbtDtp94PPXvHUW6PovveJ +15u/tNNcPTF+34SJa9IOnCzDfwFUdDvYlfWT/rmY5qqCX3LtZoPhiGtorawi ++nXv6d5qpjqP/suL7l5vbCrVDFnS6j1eUzaUmr6hR7tFPGT1CSy3FTij8iBk +901EScKoHGT3TdTlIBPXAlqYkPYUtAAAQFwe4Tk7tpbuU0OqTjr90J+qn/V2 +NV/fqEdSJSZpbmhD1P0SqTu++HPm1/SQJ5fjEu/0lZxEBZWXrvB0/EZqY1jT +wvWHHmZdxbOmQc498aq73l2MqGiFBzuNZ/rjYbRbxAOpOcjy2k72HApZ8AmS +hDE5+pA+2kv7WQh64lpEC9q5REELAAAUvFR/1q4/6G7M9nZSh/ELt+8/nBD3 +7abdF1R7whj/1toZjh6B4dGnUlPO5tRL6G85k16bFG3ZYR7Pjnqmn1GjvaL/ +1BstpY/3+bD19+SZdRXH2iA4Vwrpo30+C05wzXixhm6LuIgrts4MSG8mKyRN +Eny8JGFQDhWytrIrB/xfes59S0ZRbQ/lgte0xLWIFvRziYIWAAAoxZU7/UKL +6C5+ay9u2BAoP2/HBwd0p6TMukrPGia6syt47wOzvlHDiP/C/CXzdpo+VTct +SWxLjuGiBQCMFLrvRyyMpvcQeX8npb8UOARIuVnxiTeeDk7WmXWVjjUpNzvh +8LVmM9+dYsJ/pCY2aLM5LxiblCQqbEWOYaQFAIwUxFU/BEdX0xh3FKLyjI2T +nvv7vw9llwst9c0DM8CQ9o6+DQCGXaVnDZW08BEz37Bkxn+k9tjy/VVmzdRp +J8kgtiDHsNICAEYKirac7Zt/bYMF8OEJ2nFzd+Q12g+m6AFJwgTMaAEAIwZU +cPfU6VIozTMMwboqUs/cEzBwTYEkMRfmtAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAwCrInpxd8foPpr2SCugBwWQQCCazQDythpR7LbMSXl2h +Bdbz6OdD+9hz90DGmg8Ek0EgmMwC8bQaWFdp3Ob0RjO/NTbCQPnFp1L/aPr9 +PTZkrNlAMBkEgsksEE/rIeMkr/q+3PSCa0yBye3nvk3Gu3Li/2tElII8W8xY +e4qk0taDaWdAMJkF4mlFJNVR731XRbOAEyauObdx/isOfx3j4rv+zGOcitwq +kKbcc/992G1soMQQXn5SRODs9/Np1ZXDR1J3fkdokN/UfzjPWZPCUX0xGhWW +ZKYVtJlatgflF8Ss3xaXfCpu6/rY23z1B2ekNbFL3n1v8eLFQX4Txk4JXHOi +weRPU9tuJPuRN19cPjNkoETUiAkmNVN0GMGZyXww+7Gn5AToIq054P8+aR10 +HMR/xG46WtSCyDruHX1v/AveB2sMFZM//d8Xq5Jqjc80MGlrI+9uhNsEmjVP +8ZByzh+52jvLUSpaLi//p+sn/bUIxFXxIV9e7zDhE5to+5WPPN+5+LT3p4rm +C297hlxt1/4cmjB/id9ec2ZTNhvJgbZ5mWt8HZy1yxeOiGBSMUWLkZyZjAdz +oHl7Sk6ALmjrpQUzN5XRW9GTPb1xvbk/vXpKN7g6vZsv1LfbfiXEZ73xgqz9 +SB99T7seNx6orKd/PUtavWfugmMN/ZtoWGduyNywAiHdCZuiKYXtNCf5iXoq +JucmsZz8ftau6U0hYxUtWWvD7xAEwnYj2ede48Vd8b9Ez3LTKa07AoJJwRRN +bDAzSbHpYPaZtbXkBJhFUvWl16woU6rG9dN1d/WU1/QLbysVvJ8DJq8o1E5b +tKvyfGSwb8DOmK0hb81wdvEJSxusL057RCW11ntzfy/ho+D46sGVSqzz16DJ +i3I6DFIW4eUmhPrP+zT5RMz20AB3r5DTxVnH9oQv9XGbtyWPLyhc6jhe05UE +twJfdlpR3EXZSxWkhea1sblIyrjpkYnVwvqfWLrdf+QEk8QUIfaTmZSxxWDa +YHICzCIqWjZp1pF6U5/Rw/h56xZsyRfoJ0JX8XK3WT/W6ZrFOq76vewSrprT +yJsyPpzgMD+9uX9mQjqiyoVNrVKDVCO0phA8SN+3NtDj+dEuq7M1pXIkD7/y +mra5HKeoW0/5F26OgZdaUCXWlhXg4Lz6t05UKecksia+k1t/PWCsoyZHRYVL +x4+d/zu9exKKw6nNRRJpSIk8WSNRyhoMuv+ICSaJKTX2nZkUscVg2mRyAswi +zA+ayPoPR3f7UM678PHbAXos3FCgn1Oo4HZUxMlqnK1N/u9vOM8516S37Ksu +aR1fp769FxUuc/7XwKo72Ygq4xxnvTBhaaHB0gGxNRWYqHib+7iArLZ+55Da +2JluK/FmQuLK7ZNd+v5HVLhk4pTdf/ROarHWy2ynV1MfFyyZMG7RwGxKeGvh +OKqzqcEYvjZ5zFhvNlEM+7C5SHbUnok8U6eaouJ1/5ESTBJTymGQmeS921gE +rBdMW01OKvEEKCMq/NCVpVn8pgMmrkk7cLIM/4Vd0e1gV9ZP+ma106z7wWev +eH79sH9tg2y2r+CXXLvZYJjRxNb66L73idebv7T3/05avcdryoZSnI01koxN +4XLO+jhqVqGfJM9xYqfy6G20Gp/q22AkyyqiX/ee7q1mqvPov7zo7vXGplLN +ADsygklqSu2NfWemcWwzmLaanACziMsjPGfH1tJ+bgZ5cjku8U5fCU9UUHnp +Ck/HBFIbw5oWrp8fqjSbfuhP1V/K6hN8faMeDSxGSx/tpb2Dj2cNkzQ3tCHq +/Ebqji/+fHDlRFS0woOdhpdt+hm7Sytjm5DWrGWeQaplACXacmnR9JXZdMuS +GxtObTSSGuTcE6+6601NR0IwjZgiw04y0xi2G0wNNpWcALMoeKn+LLVGdH7U +lh3m8eyoZ/oZNdor+k+9XJM+3ufD1t/z7E0zh/ELt+8/nBD37abdFwa2SWVt +ZVcO+L/0nPuWjKLaHsoJgWMN499aO8PRIzA8+lRqytmceolmFiZ9tM9nwQmu +wasPGNJ867D/Sy+y9v9W31Gb882058ewD93gtldkhLn8beLqtBIh0pkXvW5b +fPLpwzs2xOR30p5KkQ6nNhvJQXC6//APJgVTJNhJZpJiy8EcxKaSE2AYceVO +v9Aiqk8oUwfl5+344EClzo6k9u25+dCwhonu7Are+6DLLleAbSqSSgimcSAz +rRNMpZ3HE9Cj+37EwmgzHiInRsrNik+88XRwXqVOMxMWEPGhbE3KzU44fK3Z +jr8XaCuRVEIwqQCZaY1gKodDPAEdxFU/BEdb6K0yDGnv6FtkVypE5RkbJz33 +938fyi4Xmn2/TMMaKmnhI3Y/j7KFSCohmMaBzLROMJXDJZ6AFoq2nO2bf4Wd +PwAAAMCWQAV3T50uhfpNAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAIALKiiO+WwRe4rLjJVHq3oYe/7eQmZHFCANwBQgOmBvSOpTTt0Xokqk +Psl/UhCVWqzWNDuiAGkApgDRAbsDU4gV6llUT8lG9po7TJVvtpDZEQVIAzAF +iA7ogsnt5ua5p+Lgp4m1jH+O0EJmzcSOdFGOJGnsSxd7xAZFB4yCiWvObZz/ +isNfx7j4rj/zGL/kshJpyj3334fdxroQhvDykyICZ7+fT6s6Hj6SuvM7QoP8 +pv7Dec6aFI7qS8aosCQzraDNoLgLuU/EJ4h1VaadyGs37bOWKL8gZv22uORT +cVvXx97ma33P0CyzFNzWwhq69CNvvrh8ZshA8Z2RJI1SUp+57+uYxJM/RX2x +emdmI86Hs+1IF0quUstGOjDUuwextOjAUCP+I3bT0aIWRNZx7+h741/wPlhj ++Dl7+dP/fbEqicKsA5O2NvLuRrhNoFm5FQ8p5/yRq429zihaLi//p+sn9/uq +Nour4kO+vN5BPc8ITxCTcHIyb7b0DixoN6dGRDNz0fYrH3m+c/Fp788UzRfe +9gy52o4yYNa421pYRZeBtnmZa3wdnLULw40UaRRNqQtY2ypUdY+wzuvvev+/ +u3pLRXakC0VXqWQjLZjq3RosLTow5Mie3rje3J9nPaUbXJ3ezRfq/Umv6iE+ +64up1i+UPvqedlVxPFBZT/9Kh7R6z9wFxxr6Z6dYZ27I3LACIcWZG9EJyhrT +Qj1cPab1MtXTb7duhTXjKJpS2E5zkp+oJ3lybhLLye9nVR1pGmYVLVlrw+8Q +hNV2delzr/Hirvhfome56RQtHTbSkNNrc47TvCM1vQO6vPH0669+pVt32o50 +oeoqhWykCUO9W4Ol+yNgXbrurp7ymn6RZqWC93PA5BWF2pqhXZXnI4N9A3bG +bA15a4azi09Y2mCtZdp9jdRa743+vYSPguOrB7s/1vlr0ORFOR366Utuh/gE +CUB4uQmh/vM+TT4Rsz00wN0r5HRx1rE94Ut93OZtyeMLCpc6jtf0UMGtwJed +VhTT22klLVBu3G0r6iLjpkcmVgvrf2LpjoHDRhojoJ03IrzHTlz8zbF9ETvO +/KH7ZLId6ULXVTW0lGKud9tQfwSGGoyft27BlnyBflJ0FS93m/VjnW4uYh1X +/V52CVfNb+RNGR9OcJif3tx/t0za1+TCplapQdoRWlMIHqTvWxvo8fxol9XZ +bQO345KHX3lN21xuOAUi8YrkBAnpKf/CzTHwUguqxNqyAhycV//WiSrlnETW +xHdy668HjHXUZL+ocOn4sfN/pzf3pdgXbE4XpCEl8mSNRClrMBgDh4s0xhFX +7veb/OJoB//Iqy26GyR2pAtdV5VGlLJs77aR/ggMNajgdlTEyWqcPU7+7284 +zznXpLdOqy61HF+nvs8XFS5z/tfAijFZX5NxjrNemLC00OC+mdiaCkxUvM19 +XEBWW79zSG3sTLeVeLMiEjvEJ0iIuHL7ZJe+dkSFSyZO2a1au8FaL7OdXk19 +XLBkwrhFA/M04a2F46jO0+S8Cx+/HaDitcljxnqz1f9cuKEAv7vbnC4dtWci +z9SpZr54Y+BwkUYLHGkQ7ulV7/34sKvtZtQ748fM/KqsR+s/7UgXuq6SK2Xx +3m0L/REYYjBxTdqBk2X4xQlFt4NdWT816N3Da+db94PPXvH8+mH/fTnZPFDB +L7l2s8EwtYmt9dF97xOvN39p7/+dtHqP15QNpT36VojtkJ4gISR9IYXLOevj +qFnffpI8x4mdyqO3z2p8nmaDupRVRL/uPd1bzVTn0X950d3rjU2lmqFmmEhj +rPEd3nNia1WngglufjzJPaxE64TtSBd6rhpVytK92+r9ERhqkCeX4xLvCNRP +taCCyktXeDrP4CC1Maxp4fq5osq36Yf+VP2lrD7B1zfq0cAisvTRXtp7u3jW +MElzQxuiTlik7vjizwfv+kVFKzzYaXiZh++VkRMkRL8v7NLqC01Ia9YyzyDV +AoMSbbm0aPrK7DbUqEUdjPUFG9VFg5x74lV3vfn5MJGGHKQ27tWpa/tOHPnz +0Fyf6D8R7f+1G13ouGqqUgQGTendVu6PwBCjaMsO83h21DP9jBrtpdPRVEgf +7/Nh629+9uabw/iF2/cfToj7dtPuCwPbm7K2sisH/F96zn1LRlFtD+XkwLGG +8W+tneHoERgefSo15WxOvUQzHZM+2uez4AQX7zUIHDsUThAXDGm+ddj/pRdZ ++3+r76jN+Wba82PYh25w2ysywlz+NnF1WokQ6cyLXrctPvn04R0bYvI7ac/M +SfuCzeoyCM4YOFykMeZAd1XSuv9b+92PSccO7txxqkr33SA70oWqq6YqRWiQ +fu+2cn8EbBOUn7fjgwO6j19q36ebDw1rmOjOruC9D7pwVxaY9crWsSldlCDN +AHaki+VdpWeQNIUAAAcpNys+8cbTwQmWOt/61twZgLI1KTc74fC1ZqIHWJn1 +yg6wFV2UII0O9qOLpV2lY9CYqwCAC4a0d/QtECsVovKMjZOe+/u/D2WXC81e +MKFhDZW08BGiORWzXtkNtqCLEqQxwB50sbSr9AxScRUAAAAAAAAAAAAAAAAA +AAAAAAAAAAAYbqCC4pjPFrGnuMxYebSqB7aNTcFCMQRpAAAYqUjqU07dF6JK +pD7Jf1IQvCZoChaKIUgDAMCIBVOIFeoZeU/JRvaaO4zWfRgpWCiGIA0A2DyY +HFY0LEtPxcFPEymUVR1a7Et3C8XQNqUBALtEUp+57+uYxJM/RX2xemdmI85b +2UhT7rn/Puw2NvRgCC8/KSJw9vv5DFTLkdSd3xEa5Df1H85z1qRwVO+Uo8KS +zLSCNryPtdHxExPXnNs4/xWHv45x8V1/5jGdygzkyJsvLp8ZMvAdM+PekoLy +C2LWb4tLPhW3dX3sbb7Wl9awrsq0E3nt5r0XSS0I1tC9HyaCaZhCGo/NiaGF +pQEAQI2iKXUBa1uF6otaWOf1d73/31299Qj50/99sSqJwlQQk7Y28u5GuE1g +oMC0lHP+yNVGRFUo+fLyf7oOFHwRV8WHfHm9A7fzU/RT/EfspqNFLYis497R +98a/4H2whpmPs8h5mWt8HZy1v7FJ5i05aPuVjzzfufi096eK5gtve4Zcbe8b +AjEJJyfzZkvv/AHt5tSITB0FqQTBKroPtM1AMAlSyNwYWloaAAD6kHOT5jjN +O1LTOwbJG0+//upXf+jUVuntiiE+64sN6oURQLvANAGorKd/hUhavWfugmMD +NWawztyQuWGqEpr6P6Dop+zpjevN/QNxT+kGVydNHWezkDVe3BX/S/Qs3Zpu +hN4aQdGUwnbSFKPhJrGc/H5WFQ2QNaaFerh6TOtlqqff7kqc2qAaEy1Za8Pv +EISDQhCspHufe4wEkyCFaMQQDwakAQCAEmjnjQjvsRMXf3NsX8SOM3/oPv6q +4P0cMHmFTilLtKvyfGSwb8DOmK0hb81wdvEJSxv8Rj/tMYrUmhIV3kv4KDi+ +evByiXX+GjR5UU6H3ghF1081XXdXT3lNv0KAKa7KuOmRidXCeoN6owTeKpUI +Lzch1H/ep8knYraHBrh7hZwuzjq2J3ypj9u8LXl8QeFSx/Ga64XgVuDLVIt4 +aqD8wX/8IFhRd9rBpJtCRrC4NAAAUEVcud9v8oujHfwjr7borul3FS93m/Vj +ne7IhXVc9XvZJVw1hZU3ZXw4wWF+enP/EgbpGCUXNrVKDYZpQmsKwYP0fWsD +PZ4f7bJ6sPSY5OFXXtM2l+vNS+n6qfpfft66BVvy8Usv03EVaUiJPFkjwa2F +je+tip7yL9wcA1W10LC2rAAH59W/daJKOSeRNfGd3PrrAWMdNUOeqHDp+LHz +f6d3T0Lx2kQUBKvpblIwaaaQMSwsDQAAlEC4p1e99+PDrrabUe+MHzPzqzLt +Mpj8399wnnOuSa9XaxdkERUuc/6XZjGfZIyScY6zXpiwtNBgmYjYmgpMVLzN +fVxAVlv/4IbUxs50W6k/VaXrpxIV3I6KOFmN/xAAHVc7as9EnqlTzdPxhlN8 +b1WQFJhOfVywZMK4RQOTc+GtheOoTs7lvAsfvx2g4rXJY8Z6s9X/XLihAP8K +TBwEK+luajDppZAxLC2NFoTSAMCIR1y5w3tOX3EVTHDz40nuYSVaFyfR7WBX +1k8Neis+2kNB94PPXvH8+mH/kgnZ/FnBL7l2s8FwICS21kf3vU+83vylvf93 +0uo9XlM26NeRpucnJq5JO3CyTEQ4KlB3tawi+nXv6d5qpjqP/suL7l5vbCrV +DIz43qogGQBTuJyzPo6aTY0nyXOc2Kl4RapJMH7fRBoE6+hucjDppZAxLCwN +AABUQGrjXp26tm+Civx5aK6PTrVlpDaGNS1cfzhQDQXTD6n/Tlaf4Osb9Whg +fV/6aC/tPXE8a5ikuaGtr5YLUnd88eeDCzKiohUe7DT94YCOn8iTy3GJdwTq +p6tQQeWlKzzKT+oRn7gStxY2gbcq9AfAXVoDYBPSmrXMM0i1qqREWy4tmr4y +u41yve4+jF2bjATBWrproBdMeilkDAtLAwAAJbDuqqR1/7f2ux+Tjh3cueNU +le7rLNLH+3zY+lvlvUOBw/iF2/cfToj7dtPuCwM7z7K2sisH/F96zn1LRlFt +D+Uei2MN499aO8PRIzA8+lRqytmceonGJ+mjfT4LTnAN3nSh6qeiLTvM49lR +z/QzarSXzrWYvquD4AynRN5iSPOtw/4vvcja/1t9R23ON9OeH8M+dIPbXpER +5vK3iavTSoRIZ170um3xyacP79gQk99Je2ZOem2iEATr6D4IjWDimyJOIXIs +Lw0AAEyA8vN2fHBA95lY7SUU86FhDRPd2RW890EXzjhjeT9pGyTx1vaxKd2V +RoLJuNAAANgBUm5WfOKNp4NzaPVQ0LdHxQCUrUm52QmHrzUTPvNtYT9pGjTm +re1jK7orjQaTcaEBALAPMKS9o2/tXqkQlWdsnPTc3/99KLtcaPaCBg1rqKSF +jxi5B7GYn7QNUvHW9rEF3ZVGgsm40AAAAAAAAAAAAAAAAAAAAAAAAAAAAABg +z6CC4pjPFrGnuMxYebSqh7FnFyxkduQAutgsIA0AWB5Jfcqp+0JUidQn+U8K +ovLdbmuaHTmALjYLSAMAQwCmECvUU7Seko3sNXeYKnZgIbMjB9DFZgFpAGAI +6ak4+GkihRqvtmHWTDC53ayYjChd7AuQBrA0mLjm3Mb5rzj8dYyL7/ozj/Gr +RiiRptxz/33YTT6oUTNlAvLmi8tnhgx8XQ0VlmSmFbThfViNBEnd+R2hQX5T +/+E8Z00KR/sTAlhXZdqJvHbTXttE+QUx67fFJZ+K27o+9jZf62tyZpnVGGFO +HdWbtLz8pIjA2e/nM1BxyDCepunSj67Efe6ODF2Y7zUjWxpguCD+I3bT0aIW +RNZx7+h741/wPlhj+OUX+dP/fbEqyehkhoopU5DzMtf4Ojhrf/lTXBUf8uX1 +DupJLOWcP3K1EVEVK7+8/J+ug/V9MAknJ/Nmi6y3y3RzakQ0uwXafuUjz3cu +Pu39maL5wtueIVfbUQbMamBQnV6fpK2NvLsRbhMYKJ5OEE/auvRjKPGI0YXx +XjPCpQGGC7KnN64393eGntINrk6aetMaepMpxGd9sUFtOBNMmeRh48Vd8b9E +z9KtNId15obMDVNVOqUGKuvpX8mSVu+Zu+BYf2kiWWNaqIerx7Repnr67a7E +KVBLhqIphe2kqebDTWI5+f2squFgplkNDKrTD+3i6QQQxJO2LmoMJba+LoqW +rLXhdwjCatO9ZmRLAwxLuu6unvKafl0EpYL3c8DkFTplS9GuyvORwb4BO2O2 +hrw1w9nFJyxNt8IBgSlCiA3KuOmRidXCeoMqqFjnr0GTF+V06Pc0ct9Q4b2E +j4LjqyVKiiC83IRQ/3mfJp+I2R4a4O4Vcro469ie8KU+bvO25PEFhUsdx2sG +E8GtwJepVkGlDzPq0L420Y0nfV0IJSbD4rpQLGpvm71G/b8gDTBMwPh56xZs +yTcoEd1VvNxt1o91uh0G67jq97JLuGoSJm/K+HCCw/z0ZoVRU2rkwqZWqcH/ +4BtEGlIiT9ZIcCt0Sx5+5TVtc7nh/IrQN4XgQfq+tYEez492WU290lxP+Rdu +joGqYnJYW1aAg/Pq3zpRpZyTyJr4Tm799YCxjpquJSpcOn7s/N8Z2MsxhCl1 +SK9NdKRREsWTpi5kEpNiYV0oDoC22GuUIA0wjEAFt6MiTlbjbMTyf3/Dec65 +Jr2hXLtijqhwmfO/BndwiE31IuMcZ70wYWmhQaLjGOyoPRN5pk41g8PrHUht +7Ey3lXhTLhLflKpCQMXb3McFZLWZX6E79XHBkgnjFg1MAoW3Fo6jOgmU8y58 +/HaAHgs3FOCPTMypQ3JtoiMNSTxp6UIuMSmW1uW1yWPGerOHShfmeg1IAwwj +MHFN2oGTZSJckUW3g11ZPzXoLTRoJ3P3g89e8fz6ocSoKRUKfsm1mw2GXdDQ +YFlF9Ove073VTHUe/ZcX3b3e2FSq6XrS6j1eUzbolw0n822A7nufeL35S7v5 +16YULuesj6Nm8fxJ8hwndipezXCzYFAd8vsm6tKQxZOOLkYkJsXCuhifnNtm +rwFpgOED8uRyXOIdgfphGVRQeekKT+dBIaQ2hjUtXD+hVck8/ZC6kresPsHX +N+qR1LgpMvAN9oNToVspKlrhwU7DS2s8U5ikuaGtrwQQUnd88efU1/T0O9ou +rY7WhLRmLfMMUq1eKNGWS4umr8xuo1yTnBoMqqNC+mgv7Wch6MWTni4a8CQm +xcK6GBsAbbfXjHhpgOGBoi07zOPZUc/0M2q0V/Sfej1D+nifD1t/h7Y3mR3G +L9y+/3BC3Lebdl9Q7Z1SMEUCjsFBcHqH9NE+nwUnuHhvbOCYwvi31s5w9AgM +jz6VmnI2p15C8aYJQ5pvHfZ/6UXW/t/qO2pzvpn2/Bj2oRvc9oqMMJe/TVyd +ViJEOvOi122LTz59eMeGmPxOZm+aGFRHhayt7MoB/5eec9+SUVTbQ3lEoBVP +eroMQm8AtLwupAOgLfeaES4NMKJA+Xk7Pjig+1Sn9iIAI9AziInu7Are+6AL +9xLDuG82jeXVoWENdNFga70GpAGGJVJuVnzijaeDs0B1MsfWMtzLKBqUcrMT +Dl9rJnrWlnHfbB0Lq0PZGuiiiw31GpAGGL5gSHtH3yq2UiEqz9g46bm///tQ +drmQiVUsegZRSQsfIVqUY9w3+8Bi6tCwBroYYiO9BqQBAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAMA6oILimM8Wsae4zFh5tKrH3M9yMWttBDLS5LCKh7Yf +FgAY8UjqU07dF6JKpD7Jf1KQuS+aM2ttBGJ5OTBRZeY1LiP1vqXca5mVxN+/ +M9VDi2PhsAAAwACYQqxQjy49JRvZa+6YWXeJWWsjkKGQQ9aYsTmuFP/bCDRs +d5XGbU5vpFpniZaHFsaSYQEA2weT21Oa91Qc/DSRQk1za1hjCjtSxLJy9JR/ +vyqZcvk+XGSc5FXfl+N8zds0rJIwFggLADAMJq45t3H+Kw5/HePiu/7MY/wC +MkqkKffcfx92GxvgMISXnxQROPv9fOYq7MmbLy6fGTLwqUlUWJKZVtCG98FK +EreIzxHrqkw7kddO63V4Sd35HaFBflP/4TxnTQpH+0Mvplij460W1lDE8MRt +QY5+dPOE0Jqk6rt3o6gXPjZEUh313ndVtAyg/IKY9dvikk/FbV0fe5uv9ZVd +RhIGH3pZanZYAIBhxH/Ebjpa1ILIOu4dfW/8C94Haww/qiV/+r8vViVRmNph +0tZG3t0Itwk0qzCQIOdlrvF1cNb+DLK4Kj7ky+sd1Psz4TliEk5O5s2W3uki +2s2pEVGzKOWcP3K1sdeCouXy8n+6DlZzM8kaDW+1sIoiBCduZTn6McwTImv8 +3MX+eDGliLTmgP/7tHaH0PYrH3m+c/FprweK5gtve4ZcbUdJPWQC2llqZlgA +gGFkT29cb+5PyJ7SDa5O7w6UpNTQ27VCfNZTLt9CWvWbtnuNF3fF/xI9S7fs +JtaZGzI3TFVBmpoRgnOUNaaFerh6TOtlqqff7krDWtW4oLKe/gUyafWeuQuO +9ReQM9EaZW+1PbCOIgQnbmU5+mwa5AmxtZ6yjTPfpFz2WB+09dKCmZvKaKzo +KZpS2E6aanrcJJaT38+qGkpMJQyBn3Sz1LywAIAl6bq7espr+iVnlArezwGT +V+iUg0a7Ks9HBvsG7IzZGvLWDGcXn7C0wYovtEdCYmsybnpkYrWw3qAkNNb5 +a9DkRTkd+h2J1DGSc6TrmPp/hfcSPgqOt+gyiM0pov5fgxO3thyEeYKL9PEP +s2bo1YeljqTqS69ZUY91TgPh5SaE+s/7NPlEzPbQAHevkNPFWcf2hC/1cZu3 +JY8vKFzqOF4zwRDcCnyZahVySjCVpeaFBQAsB8bPW7dgS75Af4DpKl7uNuvH +Ot3hA+u46veyS7hqrixvyvhwgsP89Ob+1QHSkVAubGqVGkzN8K0hDSmRJ2sk +SlmD4ZgjefiV17TN5YZTTRLHSM6RCEJrCsGD9H1rAz2eH+2ymnoJXZrYnCJK +ohO3qhxkeYKHrP4Iyz3U1OfiREXLJs06Uq93Ne0p/8LNMVBVzBVrywpwcF79 +WyeqlHMSWRPfya2/HjDWUXM1EhUuHT92/u/MbccylaXmhQUALAUquB0VcbIa +Z9+d//sbznPONelltnYxMlHhMud/aRa0SUZCGec464UJSwsNhg8cax21ZyLP +1KkmgHhjDlIbO9NtJd7sk9gxknMkhMSaUvViSPE293EBVBdC5LwLH78doMfC +DQX4Y7PNKUJy4laUgzxP8JBzjs92/eA2zt9REUiYHzSR9R+O3sMf+lXIdw9W +IU99XLBkwrhFA/dNwlsLx1G9b6KaMIxkKXFYAMBqYOKatAMny/BfJRTdDnZl +/dSgN1HU7g7dDz57xVOzGkA2S1fwS67dbDAcjQytlVVEv+493VvNVOfRf3nR +3euNTaWaHiet3uM1ZUMpzqo/kWOk50gI8Wn20X3vE683f2lnfJHeBhUhO3Hr +yWEkT/CQ1Sew3ExeVRMVfujKOqYffJJrUwqXc9bHUbPf9CR5jhM7lcforTYj +WWpeWADAAiBPLscl3hGoHx1CBZWXrvB0HtZBamNY08L1xx1Vd5h+6E/VX/Ym +ta9v1KOBNW7po720d96JrSlV28cnXnXXmw+LilZ4sNPweji+KSPnSMsxTNLc +0NZXqA2pO774c+bX9GxUEeITt6YcGvDyBA+k5iDLa7upjx6IyyM8ZxtUiNW/ +Nu3SujY1Ia1ZyzyDVAt+SrTl0qLpK7PbUFzbpsJIlpoXFgBgGkVbdpjHs6Oe +6WfUaK/oP/X6nfTxPh+2/n51b3dwGL9w+/7DCXHfbtp9YWD3VdZWduWA/0vP +uW/JKKrtodwDCaz1gTPmSB/t81lwgov3Vg2OKQrnSMMxjH9r7QxHj8Dw6FOp +KWdz6iUM3zTZrCLEJ25NOQahem0SV2ydGZDebOLlQcFL9WepLz0aMKT51mH/ +l15k7f+tvqM255tpz49hH7rBba/ICHP528TVaSVCpDMvet22+OTTh3dsiMnv +ZHouw0iWmhcWALAGKD9vxwcHdGdU2ssI5kPPGia6syt47wP8T6xY07Ehw6YU +sTc5hPlL5u00/f5AXLnTL7TIprZlbCEsAGAdpNys+MQbTwdn6uruYLC0YSp0 +rEm52QmHrzUTPXZsPceGFltRxO7kQGpigzbfJ92RIqf7fsTC6MdD/I0hUmwi +LABgLTCkvaNv/VqpEJVnbJz03N//fSi7XGj2AgU9a6ikhY8QLVBY07GhxxYU +sTs5kNpjy/dXmXV7IK76ITi62lYuTjYTFgAAAMA00I6buyOvmfvwiqItZ/vm +Xxl+oMGaMBMWAAAAwASwrorUM/cEDFxTUMHdU6dLzavfZDMwFxYAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAsBdQQXHMZ4vYU1xmrDxa1TM8ngy2 +USDUzGKVeFqoUciNYYiUey2zUudtC8MjACGS+pRT94WoEqlP8p8UlMtXHcNE +lZnXuOQv/0OQaYMXasB0rBJPCzUKuTHswLpK4zanN8rIjgBkYAqxQn2F6SnZ +yF4zUPpT1pixOa4U/xOmSgiyaeCHGjAVq8TTQo1Cbgw3ZJzkVd+X95AesQiY +fLjdMfRUHPw0sXbwXqmn/PtVyRz8q88QBdkodqqCfqgB87BKPC3UKOTGMEFS +HfXed1US0iPqMqPnNs5/xeGvY1x81595TFAHG2nKPfffh93GBjsM4eUnRQTO +fj+fVrk6fCR153eEBvlN/YfznDUpHNWnlFFhSWZaQRteNSBLNDcA1lWZdiKv +XeebYpKq796NqpYoDcELslFsVgV8x8wUAuUXxKzfFpd8Km7r+tjbfK1P4uCF +miGf9aEUTGqmTEDefHH5zJCBklK2HU9SdE/E/EateS7AECGtOeD/vs7SrOER +pVL8R+ymo0UtiKzj3tH3xr/gfbDG8Hv68qf/+2JVEoXpCiZtbeTdjXCbQLOU +Kq77nPNHrjb2OqNoubz8n66f9H+kX1wVH/Ll9Q7GE5Sgud5zknByMm+29N4i +od2cGpGmYX7uYn+8YOEF2Sg2qwKxY6YLgbZf+cjznYtPe3+qaL7wtmfI1fa+ +EYgo1Iz5PAjFYFIxZQpyXuYaXwdn7XKHthtPMgxPxLxGrXkuwFCBtl5aMHNT +WQ/ZEaVS9vTG9eb+/tZTusHV6d18ob6h9ishPuuNFw3tR/roe9plvvFAZT39 +a1LS6j1zFxxr6F9AwzpzQ+aGFQgZXq8iaE7WmBbq4eoxrZepnn67tQqs9ZRt +nPlmVpu+G3hBNorNqkDmmKlCKJpS2E5zkp+obxLk3CSWk9/PqprtxKE2NNGS +tTb8DkEsGAwmBVOmIGu8uCv+l+hZbjqleK0YT1MxPBEzG7V0bgA2gaTqS69Z +UdqFzgyP6NJ1d/WU1/TreSsVvJ8DJq8o1BYb7ao8HxnsG7AzZmvIWzOcXXzC +0gZrYNMeFUmtKVHhvYSPguO1Vs+wzl+DJi/K6TDx4kS3OSKkj3+YNePrh/p/ +aCzIRrFJFXAdIxQC4eUmhPrP+zT5RMz20AB3r5DTxVnH9oQv9XGbtyWPLyhc +6jheM8gLbgW+7LSimN7utqLx7JuLqNybMhNMElOEEBuUcdMjE6uF9T+xdK9N +VownwydChu3kBmA1REXLJs06Ui8jO6INxs9bt2BLvkC/Z3QVL3eb9WOd7q+w +jqt+L7uEqyZ58qaMDyc4zE9v7r/NJh0V5cKmVqlB3yO0phA8SN+3NtDj+dEu +q7M1NWQkD7/ymra53OR5IM3mCJDVH2G5hxo8MkQeZOO+2aAKhI4RC9FT/oWb +Y+ClFlSJtWUFODiv/q0TVco5iayJ7+TWXw8Y66gZcUSFS8ePnf87vRs8iuMP +U8EkMaWGTjyRhpTIkzUSpazBcEi3WjzJoX8ipNhGbgBWRJgfNJH1H46c7Mgg +qOB2VMTJapy9Xv7vbzjPOdekN1Kraz3H16nXO0SFy5z/pdmgIRkVZZzjrBcm +LC00yGNiayowUfE293EBmvUzpDZ2pttKnOmUnHfh47cD9Fi4oUB/RKHXHAFy +zvHZrh/c1j8X3CBTdcxmVcB3jFAIpbhy+2SXvv8RFS6ZOGX3H733l1jrZbbT +q6mPC5ZMGLdoYG4svLVwHNW58WAYX5s8Zqw3myiMZD6roBtMElNKevHsqD0T +eaZOdduBN6RbL560+wv5iZBiC7kBWBVR4YeuLM0uDf6RfjBxTdqBk2X4r4qK +bge7sn7S/5V2unY/+OwVT83qFtmMXcEvuXazwbCLE1vro/veJ15v/tLe/ztp +9R6vKRtKTX9Im15zBMjqE1huhh2HMMhGsVkVCB0jFoJk/Enhcs76OGr2FJ4k +z3Fip/Lo7W0bnxszGExSU2pvKMezrCL6de/p3mqmOo/+y4vuXm9sKtXMi6wW +TyPQPhFSrJ4bgLURl0d4zo6tRciOqEGeXI5LvNNX2xIVVF66wtP5C6Q2hjUt +XL/DqNJ1+qE/VX/ZO0j7+kY9Glidlz7aS3sXHs8aJmluaEPUHR6pO77488FF +NlHRCg92mhndj15zBCA1B1le2w12ZQmCbBQbVYHUMWIh9MefXVrjTxPSmrXM +M0i1qKNEWy4tmr4ym24Nc2PjD4PBNGKKDGJ1lKqN/hOvuuvdblgtnkyfCClW +zg3A+ih4qf4ste7ER3qPtWWHeTw76pl+Ro32iv5Tr/NJH+/zYetvAvemq8P4 +hdv3H06I+3bT7gsD+8aytrIrB/xfes59S0ZRbQ/lrMKxhvFvrZ3h6BEYHn0q +NeVsTr1EMy2VPtrns+AE14yXnGg1R4S4YuvMgPRm/XPEC7JRbFYFUseIhMCQ +5luH/V96kbX/t/qO2pxvpj0/hn3oBre9IiPM5W8TV6eVCJHOvOh12+KTTx/e +sSEmv5P2LIN0/GEwmBRMkUCgTh84Q7r14snwiZBg5dwAbANx5U6/0CIR6RFK +oPy8HR8c0L1D0L7NNx8a1jDRnV3Bex8Qfi+I4eaIEeYvmbcT52FWE4NsFJtS +QcmMEFbD8sGkbdCG48l4ZICRTvf9iIXROk8zGx6hiJSbFZ944+ngRFOdriYs +XeFD2ZqUm51w+FqzmV+qY8J5pCY2aPN9vBV2k4NsFFtRQcmUENbEwsGkadCm +48l4ZIARj7jqh+DoainpEcpgSHtH336MUiEqz9g46bm///tQdrnQ7AUEGtZQ +SQsfMXNiyYzzSO2x5fur8B9jNyPIRrEFFZTMCGF9LBZM2gZtOJ6MRwYAlKr1 +8pztm3/V3k00PALQB+24uTvyGuHTEhBkAAAAUlDB3VOnS7WffzU8AtAD66pI +PXNPQHbpgSADAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGlBB +ccxni9hTXGasPFrVM0TPmjPbqFVOASABFGEQCCYwIpHUp5y6L0SVSH2S/6Sg +IfoyJbON4lnDRJWZ17iMfBFDyr2WWQkviNHBKkk1XIFgAiMTTCFWqMfdnpKN +7DUGxXPtoVF8a7LGjM1xpeZ+sBTrKo3bnN5om1+Xs1msklTDFQgmwDSY3J7m +2j0VBz9NrLXMp/eGqFF9az3l369K5ph1WZFxkld9X2567UimsK9c0mCVpBqu +QDBHJpi45tzG+a84/HWMi+/6M4/xS14rkabcc/992G1smMAQXn5SRODs9/Np +FdSj4RgqLMlMK2gzrXCUvPni8pkhOmVusK7KtBN57Rb4fiZJYM1olOIpSKq+ +ezeqml4BKx0k1VHvfVdF08BIyiVVjY+CmPXb4pJPxW1dH3ubr/X5LEaSisFg +UjNFB0nd+R2hQX5T/+E8Z00KR/VxdNsOJmCHiP+I3XS0qAWRddw7+t74F7wP +1hh+hV/+9H9frEqiMG/BpK2NvLsRbhNoFnul55i4Kj7ky+sdtJNVzstc4+vg +rFWCDZNwcjJvtvTeX6DdnBoRo+lP6L85jVI/BX7uYn88LSkirTng/z7dBf4R +lEu94W6/8pHnOxef9v5U0Xzhbc+Qq+19AypDScVgMKmYooWUc/7I1cZeI4qW +y8v/6fpJf5ka2w0mYIfInt643tyfqT2lG1yd3s0X6v1Jb96E+KynXO9Z+uh7 +2oXIaTqGdeaGzA0rENKa/skaL+6K/yV6lptmYJc1poV6uHpM62Wqp99unBKF +ZkDkvzmN0jmFnrKNM9/MajNxhoy2Xlowc1MZvRW9kZNLvSiaUthOc5KfqO8T +5NwklpPfz6pC7jT0VbRkrQ2/QxALBoNJwRRNUFlP/0qrtHrP3AXHGvpXj60Y +TGBY03V39ZTX9ItkKxW8nwMmryjU7gFoV+X5yGDfgJ0xW0PemuHs4hOWNlgi +mvZ4QmoN3zGs89egyYtyOvT7ALEpGTc9MrFaWP8Ty41y6WrL+W+SNXqnIH38 +w6wZXz80cVVPUvWl16woM2oz2n8uKRFebkKo/7xPk0/EbA8NcPcKOV2cdWxP ++FIft3lb8viCwqWO4zWDvOBW4MtOK4rpbdZTLlzOTDBJTBFCbhAV3kv4KDhe +a+nYesEEhjEYP2/dgi35Av206ipe7jbrxzrdbMY6rvq97BKumiHJmzI+nOAw +P725/36bdDyRC5tapQaJS2KNwDHJw6+8pm0uN5xH4ZtCGlIiT9ZIlLIGC1yb +TPGfvjW6pyCrP8JyDzX10SZR0bJJs47Um/owxfDIJWVP+RdujoGXWlAl1pYV +4OC8+rdOVCnnJLImvpNbfz1grKNmABUVLh0/dv7v9G7wKF6bmAomiSk1NOOp +EDxI37c20OP50S6rszVV1KwWTGDYggpuR0WcrMbZJeX//obznHNNeiu96grR +8XXqlQJR4TLnfw2sOZONJzLOcdYLE5YWGgysxNYIHENqY2e6rcSbWuGY6qg9 +E3mmTjXdo3ttkvMufPx2gB4LNxTod27a/pPCyCnIOcdnu35wG+fvqJyUMD9o +Ius/HDntH5Kfsp3lkrhy+2SXvv8RFS6ZOGX3H713CFjrZbbTq6mPC5ZMGLdo +YKovvLVwHNWp/mAYX5s8Zqw3myiMZD6roBtM8lQ0JZ5K1ct0xdvcxwVoFo+t +F0zynATsFExck3bgZBn+S5ai28GurJ8a9KbQ2hnb/eCzVzw1y0dkc10Fv+Ta +zQbDzkFkjdAxafUerykbSnH2QwxNlVVEv+493VvNVOfRf3nR3euNTaXdhj81 +Hdr+07RmwinI6hNYbiYvjIgKP3RlHdMXnQrDKZdIhtMULuesj6Nmi+RJ8hwn +diqP3la98fsmBoNpNBXpxnOA7nufeL35S3v/76wWTGA4gjy5HJd4p6+CLCqo +vHSFp/MUD1Ibw5oWrp9tqoydfuhP1V/2joK+vlGPBpahpY/20t6/xrdG4pio +aIUHOw0vfYkdU6q2WU+86s78mh59/02wRvMUkJqDLK/tpu4ei8sjPGfH1tJ+ +nGt45ZL+cLpLazhtQlqzlnkGqdaolGjLpUXTV2a3kRVhxsHYtYnBYJqaigQG +MUlzQxuivhwhdccXfz64pme1YALDDkVbdpjHs6Oe6WfUaK/oP/XSVvp4nw9b +f/u0N2Mdxi/cvv9wQty3m3ZfGNgglbWVXTng/9Jz7lsyimp7KKcXjjVSx6SP +9vksOMHFe5eCwLE+LHhtouU/bWv0T0FcsXVmQHqziT1cwUv1Z6lHDzo/Gla5 +hCHNtw77v/Qia/9v9R21Od9Me34M+9ANbntFRpjL3yauTisRIp150eu2xSef +PrxjQ0x+J+15Pum1icFgmpGK+AYx/q21Mxw9AsOjT6WmnM2pl2hutqwXTGBE +gvLzdnxwQHcKrn2nbz70rGGiO7uC9z7A/yYPs45RxJrRIECYv2TeTtMfuhVX +7vQLLWL8Im5fuWTrWD6Y9AzadTABO0XKzYpPvPF0cIqmzlgTFn3woWNNys1O +OHytmWgrhFnHKGK9aBCB1MQGbb5vxqZa9/2IhdFmPEROjP3kkh1g4WDSMWj/ +wQTsFAxp7+hbYlYqROUZGyc99/d/H8ouF5p9903PGipp4SNEEzNmHaOINaNB +BFJ7bPn+KrNeVRRX/RAcXW2Zb5jZQy7ZDRYLJj2DwyOYAABYELTj5u7Ia21m +Dk6Ktpztm3+FPWkAAADAfLCuitQz9wQMXFNQwd1Tp0uhfhMAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAjFhQQXHMZ4vYU1xmrDxa1cPYs8UWMjui +sEoMmW0U0mBogDgDww5Jfcqp+0JUidQn+U8KolKx05pmRxRWiSGzjeJZw0SV +mde45B+nkHKvZVbCS1iUoRZnKkcAwFbAFGKFegzoKdnIXmNqTdWhMjuisEoM +mW0U35qsMWNzXCnh50OxrtK4zemN8BE36lCNM5UjAGBb9FQc/DSxlvEZlIXM +mgkmt6e+aJUYMtuovrWe8u9XJXPwrz4yTvKq78txKtkxi33lAEWMx5nKEQAY +YiR153eEBvlN/YfznDUpHO2PEGNdlWkn8tpN+1gbyi+IWb8tLvlU3Nb1sbf5 +Wt/VMcusxoi45tzG+a84/HWMi+/6M48JCqEjTbnn/vuw29hwgyG8/KSIwNnv +59OqbUfDMVRYkplW0IZXhooEC0lDCklgTWmU3ilIqr57N6oar5aUpDrqve+q +dP/HZnNgAHnzxeUzQwYqcJmWA+a0qIZanKkcAYChRMo5f+RqY++YoWi5vPyf +rp9oii1gEk5O5s2W3okT2s2pEdEcBdH2Kx95vnPxae/PFM0X3vYMudqOMmBW +g/iP2E1Hi1oQWce9o++Nf8H7YI3hl/3lT//3xaokCpN8TNrayLsb4TaBZt1V +eo6Jq+JDvrzeQf2MLSSNif6b1CjtU+DnLvbH01Jac8D/fb1tLpvNgYG2eZlr +fB2ctatD0s4Bc1ukHmcqRwBgCEFlPf2rGNLqPXMXHGvou4uXNaaFerh6TOtl +qqffbrqV6xRNKWynOclP1HNEOTeJ5eT3s6p6Mw2zipasteF3CEreyZ7euN7c +32t6Sje4Or2bL9Q/sfYrIT7rKRe+lT76nnZNcJqOYZ25IXPDCoRUF40sI41p +/pvYKO1T6CnbOPPNrDb9EKGtlxbM3FSms6JnsznQ717jxV3xv0TPctOpXEw3 +B8xrkU6cqRwxgLSTAgA10K7K85HBvgE7Y7aGvDXD2cUnLE2rBDgqvJfwUXA8 +9Vt4hJebEOo/79PkEzHbQwPcvUJOF2cd2xO+1Mdt3pY8vqBwqeN4zVghuBX4 +stOKYnob6KRlrLXpurt6ymv69aqVCt7PAZNXFGp3G9II0B6XyOOJ6xjW+WvQ +5EU5HQYjL7PSWMx/k61RPwXp4x9mzfj6of4fSqq+9JoVRVz/0OZyQMZNj0ys +Ftb/xNK9NhHmgOVaxMUwzlSOGEC5kwIAGVjHVb+XXcJVkzZ5U8aHExzmpzer +b/IVggfp+9YGejw/2mV1NuVaQD3lX7g5Bl5qQZVYW1aAg/Pq3zpRpZyTyJr4 +Tm799YCxjpqrkahw6fix83+nNx+lmPYYP2/dgi35Av2+3lW83G3Wj3W6oxVh +BIyMS3JhU6vUYDQhsUbgmOThV17TNpcb3nQwLA016PtvkjVapyCrP8JyDzV4 +DlBUtGzSrCP1BJdJm8sBpCEl8mSNRClrMLxSEOYARei3iIdhnKkcMQCuTQAz +qGsux9ep10FEhcuc//WJdilvTFS8zX1cAPlNvBbiyu2TXVaqrz+iwiUTp+z+ +o3eGhbVeZju9mvq4YMmEcYsG7puEtxaOo3rfJOdd+PjtABWvTR4z1put/ufC +DQX4YyQquB0VcbIaZxec//sbznPONekNhcQRIBmXZJzjrBcmLC006PAk8cR3 +DKmNnem2Ei8QjEozGEMtcGJI239SGDkFOef4bNcPbuuHWpgfNJH1Hw7uYwQ2 +lwMdtWciz9Sp7mbwrhSEOWCGauQt4mEYZypHDF2l0kkBwCjaWd394LNXPPVu +2LvvfeL15i/t5l+bUricsz6Omv2mJ8lznNipPHqzfuNTMkxck3bgZBn+u5ii +28GurJ8a9GbaxBEgmzMr+CXXbjYYDn5E1ggdk1bv8ZqyoRTnQWhmpaEIbf9N +sjYApVOQ1Sew3AynMaLCD11Zx/TVNOaqdXKgrCL6de/p3mqmOo/+y4vuXm9s +KtVcpolzgCK0W8TDMM5UjhgA900AM6iyevqhP1VZ3Zt3vr5Rj6RKTNLc0Iao +uxxSd3zx59QXjvSvTbu0rk1NSGvWMs8g1YKfEm25tGj6ymy6Fb+NpT3y5HJc +4p2+mq+ooPLSFZ7OE0VIbQxrWrj+EIAXgT6kj/bS3gfHt0bimKhohQc7De8i +zaw0lvKftjXap4DUHGR5bTd41EJcHuE5O7ZW3xGbzYF+5NwTr7rr3cUQ54Cl +WsTDMM5UjhgA1yaAGXqz2mH8wu37DyfEfbtp9wXVJirGv7V2hqNHYHj0qdSU +szn1EopzZQxpvnXY/6UXWft/q++ozflm2vNj2IducNsrMsJc/jZxdVqJEOnM +i163LT759OEdG2LyO2n3RdK0V7Rlh3k8O+qZfkaN9or+U2/gkj7e58PW3x7H +iYAKWVvZlQP+Lz3nviWjqLaH8kUUxxqpY9JH+3wWnODirUwxKA116PpP2xr9 +UxBXbJ0ZkN6sL4GCl+rPUk9+tI7Zag4MgnOlIMkBC7WIi2GcqRwxAK5NADNo +rwYMf1B+3o4PDuhO+5iNAD1rmOjOruC9D/C/A2MVaawZDQKE+Uvm7cSZqosr +d/qFFtF+WNmucsAiLRJgGGcqRwDAQqiz2nBlZPgi5WbFJ954OjhvZjYCdKxJ +udkJh681Ez2QbRVprBcNIpCa2KDN9/F2SrrvRyyMJn6InBj7yQELtEiEYZyp +HAEAi6AQlWdsnPTc3/99KLtcaKkX020PDGnv6NvwYDgC9KyhkhY+QjRbtoo0 +1owGEUjtseX7q/Bn6uKqH4Kjq036kp895IBFWiTCMM5UjgAAAIxE0I6buyOv +ET4toWjL2b75V7qP1AAGGMaZyhEAAICRCNZVkXrmnoDs0oMK7p46XQr1m8zC +MM5UjgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIwAUEFxzGeL2FNc +Zqw8WtUzRA+tWqVRABcb1MIGXRquDFmoQdORhZR7LbPSvJcgJPUpp+4LUSVS +n+Q/KWiIvmWI1ygmqsy8xiV/Gd7wfKkcAchgTguLugRYBFPVZ6QhYLiCdZXG +bU5vNPOTVZhCrFAPMD0lG9lrSCs/Mgd+o7LGjM1xpYQfhzQ8XypHACMwpIXl +XQIsgEnqM9cQMCyRcZJXfV9uet0uPXoqDn6aWMvwZIluoz3l369K5uCPeIbn +S+WIRcDkw/C2zDwthsQlwGLQUZ/RhoDhh6Q66r3vqiTG/3AQlF8Qs35bXPKp +uK3rY2/zdT7cUZl2Iq/dgp+UkjdfXD4zRKfYCl6jkqrv3o2qxjsrw/OlckRd +LfTcxvmvOPx1jIvv+jOPCSpvI0255/77sNvYJQdDePlJEYGz38+nVZQN3xau +Y6iwJDOtoM2Mmjd0W+z7LzO1GCKXmLSvBSX1qZmig6Tu/I7QIL+p/3CesyaF +o/rYtiXVx2luAHrqG8Wa4wxgfaQ1B/zfp7Vqi7Zf+cjznYtPexND0Xzhbc+Q +q+19WYNJODmZN1t650hoN6dGZInEkfMy1/g6OGsVAiNqlJ+72P9gjeFH8Q3P +l8oRpVL8R+ymo0UtiKzj3tH3xr/gjWdb/vR/X6xKojCXw6Stjby7EW4TaBYM +xYPYMXFVfMiX1zsY14GwRfO1GDKXmLKvBUX1qZiihZRz/sjVxl4jipbLy//p ++kl/iQZLqU/QHH31jWHNcQawAdDWSwtmbiqjsaqiaEphO81JfqKek8m5SSwn +v59V1ZJljWmhHq4e03qZ6um32xL1tWSNF3fF/xI9y01zbSJutKds48w3s9r0 +J6WG50vlSG9DT29cb+7vXz2lG1yd3s0X6ptuvxLis954+cx+pI++p13MGgcy +x7DO3JC5YQVCZhcOiVpkQIuhc8kARUvW2vA7BOIxqD4FUzRBZT39S8PS6j1z +Fxxr6F9As4z6RM3RVt8YDIwzpJoCto6k6kuvWVG69ccQXm5CqP+8T5NPxGwP +DXD3CjldnHVsT/hSH7d5W/L4gsKljuM1HUpwK/BlpxXFzO1Iol2V5yODfQN2 +xmwNeWuGs4tPWFp/BWUZNz0ysVpY/xPLjUIBZenjH2bN+Pqh/lqC4flSOaJL +193VU17Tr1qtVPB+Dpi8olDbMeJzUZpwbSK1hu8Y1vlr0ORFOR0mDk8mtIgL +ZS2GziUDKFfKZkZ9U1wlN4gK7yV8FByvtXpmUfUNmyOCQP0hGGeg+rldIypa +NmnWkXq97tFT/oWbY+ClFlSJtWUFODiv/q0TVco5iayJ7+TWXw8Y66jJElHh +0vFj5/9u/q7JIFjHVb+XXcJVEz55U8aHExzmpzcrlEhDSuTJGolS1kDt2iSr +P8JyDzV4jMfwfKkc0XGPn7duwZZ8gX6P7ype7jbrxzrdX+GfixrSa5Nc2NQq +NRhTSKwROCZ5+JXXtM3lJt/D0m8RD8paDJ1LBlAcx5hS35irNBNAIXiQvm9t +oMfzo11WZ2sqCFlMffzmCCBQX4WFxxm4Ntk1wvygiaz/cPQ2TcWV2ye7rFTn +hahwycQpu//onfVgrZfZTq+mPi5YMmHcooH5jPDWwnFU5zNy3oWP3w7QY+GG +Av3eqS6gHF+nXvgQFS5z/tcn9ztqz0SeqVPN2qhem+Sc47NdP7it/3eG50vl +yCCo4HZUxMlqnA1s/u9vOM8516TXUXHOpX99nuTaJOMcZ70wYWmhwUkSWyNw +DKmNnem2EkceM7QgbxEPylpQcowRlwybe23ymLHebKI4GLNPV31yV01JAKXq +faLibe7jAjTrZ5ZUH6c5AgjUV2HpcYaKpoCtIir80JWlWaIegCRnUricsz6O +mnXgJ8lznNipPEb3I7V7RPeDz17x/LqsIvp17+neaqY6j/7Li+5eb2wq7SYz +IqtPYLkZJrPh+VI50g8mrkk7cLIM/z1R0e1gV9ZP+r8yPJeBxQ2y+yYFv+Ta +zQbDcYvIGqFj0uo9XlM2lJq+pUO7RTwoazF0LhlgfI7NoPpGXaWbAAN03/vE +681f2vt/ZzH18ZsjgEB9FRYeZ+C+ya4Rl0d4zo6t1XuKRj9ndmnlTBPSmrXM +M0h1I65EWy4tmr4ym+Gaz6oeMf3QnyqfevPa1zfqkdYyvZx74lV3CvdNSM1B +ltd2g51Sw/OlcqTP4pPLcYl3+gpbooLKS1d4On+B1MawpoXrDwTE5yJ9tJf2 +sxD41kgcExWt8GCnmTF1oN0iHpS1GDqXDDA2jjGovhmu4hnEJM0NbYj6+oDU +HV/8+eAim0XUJ26OAAL1VVh4nIFrk12j4KX6s9QpoQFDmm8d9n/pRdb+3+o7 +anO+mfb8GPahG9z2iowwl79NXJ1WIkQ686LXbYtPPn14x4aY/E6mH+Ls7REO +4xdu3384Ie7bTbsv6G4gU702iSu2zgxIb9bPZsPzpXKk91hbdpjHs6Oe6WfU +aK/oP/VGFOnjfT5s/Z1tgnORtZVdOeD/0nPuWzKKansodzkca6SOSR/t81lw +gmvGay50W8SFshZD55IBpOMYg+qb5yqOQYx/a+0MR4/A8OhTqSlnc+olmrsY +i6hP3BwRBOoPwTgD1yb7Rly50y+0yKaes9ReSTAZYf6SeTtxJmuG50vlCCVQ +ft6ODw7otsnIuZhoDRPd2RW894FZX4wZYi2GzCXmsbz69AzavPoAYITu+xEL +o+k9yGth1D2C/lqPDkhNbNDm+3g7UobnS+UIRaTcrPjEG08HZ89MnMsgdKxJ +udkJh681m/m1mKHWYohcsgwWVp+OQXtQHwCMIK76ITi62lYuTgpRecbGSc/9 +/d+HssuFJq8WIrXHlu+vwp+rGZ4vlSOUwZD2jr7leIbOZQB61lBJCx8x88Ek +a2gxJC5ZDoupT8+gfagPAEZQtOVs3/wrww80WBO04+buyGuEe7SG50vlCGAS +tLUAhhFG1AcAY6CCu6dOlw6TWkVYV0XqmXsCsuHO8HypHAFoY5IWwDCBgvoA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAwBqKA45rNF7CkuM1Ye +reqBp7ctCISaKSCSgP0h5V7LrIQXZCgjqU85dV+IKpH6JP9JQX3fwsRElZnX +uOQfaIA40wYv1IApQCQBewPrKo3bnN5o5ofDRhSYQqxQX2F6Sjay1wwUJJU1 +ZmyOKyX8NCjE2RTwQw3QByIJ2BkyTvKq78tNr55GEUw+DG8XeioOfppYO3iv +1FP+/apkDv7VZ4jibBQ7FUI/1LaBPQbTNiMJAPpIqqPe+65KtwIQJq45t3H+ +Kw5/HePiu/7MY4IC3UhT7rn/Puw21jkxhJefFBE4+/18WkUA8W3hOoYKSzLT +CtrMqLJDt8W+/+qqTDuR167zpTNJ1XfvRlXj1VPCi7M5rWsxXIRA+QUx67fF +JZ+K27o+9jZf60M9eKFmyGd9rBBMpaTu/I7QIL+p/3CesyaFo/pmuW1HEgCG +AGnNAf/39daexX/Ebjpa1ILIOu4dfW/8C94Haww/8S9/+r8vViVRmH1h0tZG +3t0Itwk0C9TiQeyYuCo+5MvrHYx3OcIWMQknJ/NmS+8tEtrNqRFpGubnLvbH +ixdenE1vXYthIwTafuUjz3cuPu39qaL5wtueIVfb+8ZUolAz5vMgVgmmlHP+ +yNXGXmcULZeX/9P1k/5qGLYbSQAYAtDWSwtmbirTWWmSPb1xvbm/3/aUbnB1 +ejdfqP+z9ishPuuNl87tR/roe9rF03EgcwzrzA2ZG1YgZHaJhahFWWNaqIer +x7Repnr67dYq+9ZTtnHmm1lt+m7gxdnk1rXtDhshFE0pbKc5yU/UtwpybhLL +ye9nVS104lAbmmjJWht+hyAWNhtMJSrr6V8ZlFbvmbvgWEP/mrCtRhIAhgJJ +1Zdes6KIa9N13V095TX9OtlKBe/ngMkrCrVzF+2qPB8Z7BuwM2ZryFsznF18 +wtIGK8HT7sWk1vAdwzp/DZq8KKfDxIuTCS3iIn38w6wZXz/UX7szFmejDAMh +EF5uQqj/vE+TT8RsDw1w9wo5XZx1bE/4Uh+3eVvy+ILCpY7jNdcLwa3Al51W +FNPbr6dcQNwmg4kK7yV8FByvtSBsB5EEAEshKlo2adaReoIBF+PnrVuwJV+g +3zm6ipe7zfqxTvdXWMdVv5ddwlXzPHlTxocTHOanN/evGpD2YrmwqVVq0P1I +rBE4Jnn4lde0zeUm12Cj3yIesvojLPdQg4egyONs3LfhIURP+RdujoGXWlAl +1pYV4OC8+rdOVCnnJLImvpNbfz1grKNmDBUVLh0/dv7v9O5JKI6othhMheBB ++r61gR7Pj3ZZna0p1mTrkQQAyyHMD5rI+g8Hd88VFdyOijhZjbNnzP/9Dec5 +55r01qvV5afj69TrJqLCZc7/Glg5J+vFMs5x1gsTlhYarB8QWyNwDKmNnem2 +EmeCKOdd+PjtAD0WbijQH5xot4iHnHN8tusHt/VPBzfOVB0bLkIoxZXbJ7v0 +/Y+ocMnEKbv/6L1JwFovs51eTX1csGTCuEUDs33hrYXjqM72B8P42uQxY73Z +RGEk81mFlYOpVL0iV7zNfVyAZknYtiMJAJZEVPihK0uzwq0FJq5JO3CyDP89 +UdHtYFfWT/q/0u533Q8+e8VTs7RFNsNU8Euu3WwwHCqIrBE6Jq3e4zVlQ6np +D2nTbhEPWX0Cy81wKCCMs1GGkxAkI2oKl3PWx1GzS/IkeY4TO5VHb7fe+Gzf +ZoM5QPe9T7ze/KW9/3c2HEkAsDDi8gjP2bG1+k8sIU8uxyXe6Su3iQoqL13h +6fwFUhvDmhau32dU/W76oT9Vf9k7Qvv6Rj0aWEyXPtpLe9cY3xqJY6KiFR7s +NJqd0KwW8UBqDrK8thvsMxPE2SjDSwj9EXWX1ojahLRmLfMMUi1TKdGWS4um +r8ymW2fe2Ihqo8HEJM0NbYj6coTUHV/8+eCans1GEgAsjoKX6s9SJ7bWsbbs +MI9nRz3Tz6jRXtF/6g2q0sf7fNj6m8m9/c5h/MLt+w8nxH27afeFgW1eWVvZ +lQP+Lz3nviWjqLaHcifBsUbqmPTRPp8FJ7hmvOREt0VcxBVbZwakN+ufJl6c +jTK8hMCQ5luH/V96kbX/t/qO2pxvpj0/hn3oBre9IiPM5W8TV6eVCJHOvOh1 +2+KTTx/esSEmv5P2LIN0RLXZYGL8W2tnOHoEhkefSk05m1Mv0dxs2WgkAWBI +EFfu9Astov20KMrP2/HBAd3bA+31CvOhZw0T3dkVvPcB4feCmG+RAGH+knk7 +cR7PNTHO/z97bx7XxLX+8d/+9X1d215rvdSFy7UgFBfEJVrRsNxqFyrWtlR/ +LgV/L1tbr1W04Fq1vbdWi4osVqxeXNCKVLG8auVXFGqxIgi4IoKilCUIQdYs +kGWSzORHQoSQzEzmJBMyhOf9l6+ReeY5n+c5Z86cM5nHIs4YCIfBKTH7tZIA +YDsdtyLnxFjzcrOyNiMh6fKTnlmmvt9ZsW5FDoo1ZW1m4r7sBhu/VMeG/1hF +XEiU8fZ2N1brbBGnC4Qj4YqY/V9JALAVedm3oTHlVg2aBNbS2rVQrtVIS9LW +jH7276/vzSyR2PyDczRruKJRhNk4vWTHf6zy4KJdZeSvsdugs0WcKBCOhwti +OoeSAGAbmuasjVG/oW6XAmbgrVe2bcluphp1QGcAAAAUcPGNY8eLoa6QTRDt +906duCmmu/WAzgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMbg +4qLYT+fyx7pPWnKgTMbay9Z2MuuQizqkLc4ECGg7oCEwwFBUpxy7JcG1WPXh +wNEhrH1s0k5mHXJRh7TFmQABbYdMQ0Jamp5da/zdE/MjANBfITRyjX4SJruz +hr/crHosx8w65KIOaYszAQLaDrmGqrq0qPhi44/Tmh8BgP6N7N6eT5IqWZ9x +2cmsQy7qkLZYhFD3m3EIBLQdUw1lJTuWJvcqMmJ+BAC4DSGvOLlm1isuzw1x +91914pFxhVCivTT1SG6LdZ/WxEX5sas2xCcfi1+/Ku6ayOgLQjaZpUdRdXpT +eEjAuH+4TVueIjD+yDSX20ITAiOw+pyTPz/osDRiEpgw73Bk8NT38pBq7ZFj +ricuuZOemt+MVp3LXjnGwL4RDhCQ3DGrNETMbUXZ1+9ElytojwAAl5Hfj1t7 +oLARU7XePDBv+OCJeyoMWU8oBFnpVxo7J1p4h6BCijh44C0XPvR5+6cnnadp +Gs6+5RN2sQVnwSw9SsHp/RfrOv3XNJ5f9E+Pj7tLZHC7LZQhMEL95JfPlx5m +8HBBKJvqhDciPUcg1oElg0JPeVlC2BeXWpk31045Ztm+EQ4RkNoxZA2Rc1uU +825gbyHMjwAAd1E9uXypwZCusuLVHq7v5En0x+tSw709vMd3Ms4nYBtJjT5a +NPUpfNdpyY/1U0N17WGea8CPuorWNpq1AK6SGRZilOXbp88+WNO1gsHxtlCF +wLhhLRfC/FYVMS2IqHy4A7lGORkUemqJtpyw6SvzJQwXvVjIMU1jxoqI6xTt +56yAdI4haoie27K7aya/kdFsZN/8CABwAby99PSWUP+gzbHrw96c5ObutzK1 +pvcssv3GsrEzTCthU4EJcxLDA2d+knwkdmN4kJdv2PGijIPbIxb4ec5clysS +FywYOby7J4qvBr/kuriIvc1u+rbgkpuJH4YmMF++cGhbekEeAo3wx6AxiwuM +R1ZaBZCHVlQ9ibbfQsbMzWo1HeZYzrEeGJcm56SApI5ZpyHz3FY++nbKpK8e +KOiOAAA3IFovBrzkHqGbq6nr0z4Y4TLrTEPPogIhyv1s9ro8MeNplazkc8+R +wecacS3RnBHk4rbs9zZcqxYk8Ua9nVN9KWjoyO4RXFqwYPjQWX+wsP9huS0a +8e0zO1cEez8/yH1ZJmUFJ061padRFCFoL1rkOeW7qt4DLk00aYdWtaS+SWkW +ZEQ9FQ++9B0fVWL+pMNyjj2F4b2JiwJSOoauIVJuq6r387zCjd9+ND8CABxB +X4c6oUq/yiAtWOj2cs+qNS6+Fh15tJxiF5kUeenGMe5L9GO2tGD+qLHb7nfO +yIim83zXV089yp8/Ytjcp88akqtzhjF91lALz370VpAJc1bnm443NG3R6n7Q +UbTBa1gQ4wUMx7alC+oQiP54zW3ayXqTwYhaAZqhVSU4xBs8YkGB2eoWmp5Y +ZdxkzyVkKrCaYz0CzhgzZOhEfj8VkNwxqzTUMs5tteDQVI/3r0npjgAARzDO ++Y7bn77iY3jAJ+QVqbuP3kUstUcznqfUCn7wG9m9R/M4eZor/5SQ1fceqNry +lI6bH/u+8WuL7femPmiL1kIIpNdCPXjf15gsVFErQDft14juZF+pMR+/0fRU +lm/3Hbu6WGZun90c6/ba4nMTZwWkdAxdw6cwym1VdSLPs9ckyvwIAHAEXc5P +2PunLuc789TfP/qhbiEbe3w+Pul6V5lYXFx67oKQ2as8puP5VqPxvB5ryljo +E6JbJNPijefmTliSyXIJdLK2EIqGmmZM32WxqkPv/pv5mp5j22IpBFhlLG98 +hOkoRh5NHcqH3yBv5aPpKS1c7M1PJbtDs5tjT7F0b+KogLSOoWmInNtYxR6e +70bjF0zMjwAAR+jMeZfhczbu2pcY/9+1287qtlg1zZkrvf/6zF8MPDPIN+ZP +JsMGgTVc3Rf44gu8Xb9Xt1Zm/Wf880P4ey/XttxLW+n+t1HLUu9IsLbcmM82 +JCQf37dpdWxeG9sPGiRtIURXV0wa6R0cEXPsVMoPWdUKhnN0B7eFQQiUj3b6 +8U13+EkU0KFqvnthd+CLz3qtSyuslDG+iSLpqXy402/2kVqyH+iwmGNG0N6b +OCsgrWNoGqLntvze+slBZxpwuiMAwBGM1wr6O87UFsvgotxN7+/uPeVlVwEE +a4T0+tbQb26TfwCHo3HhlIDavtBQkjd/5uZeDTY/AgAcQZ/zcZVcGzeswpna +wghlbUZC0uUnPVN/dhVgbE1Zm5m4L7uB6i1w7saFKwJq+0RDrCIuJMr4FQqS +IwDACTTSkrQ1o5/9++t7M0sk9vheUB/iTG1BgMBaWru2HFhWAMEarmgUYVQL +SlyPCxcE1PaJhljlwUW7yuS0RwAAAACg78Bbr2zbkm38toT5EQAAAADoO4j2 +e6dO3BTjdEcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAfgIuLor9 +dC5/rPukJQfKZFC/0o6A1NwBYgEALKCszU4vtbISgAUU1SnHbklwLVZ9OHB0 +CJMqoICVkElNSEvTs2uVlk5lgh2TxPmwcywAYCBAtBfHR52pQ604zdS6Rq7R +j2eyO2v4y6F+pR0hl1pVlxYVX0z+fU4E23ZNEufDnrEAgIGBSpC8dEcJSbEw +dpHd2/NJUiVMGvsAU6llJTuWJgtsuq30UZIQamcbtu0QCwAYGCjKo+d9Xaaw +/IcMTFWd3hQeEjDuH27TlqcIjD9ITLSXph7JbbHtw1iEvOLkmlmvuDw3xN1/ +1YlHFFWysfqckz8/6LAwxlG7agPqhp8WTQ4rMpSPxiV30lPzm8lK3bBG7yvq +IZNaUfb1O9HlNsSYLEnYDIeWwIR5hyODp76Xh1Qaj8Jbs+DaNRZoaW9zLABg +YKCs2B34Hiu7QErB6f0X6zq7pqbx/KJ/enzc/WF7QiHISr/S2DlXxDsEFVJr +b1Dy+3FrDxQ2YqrWmwfmDR88cU+F+S1F/eSXz5cetvh0RumqLaiF6cv9XdwW +Gd0p5GUJYV9carXXtyrNr0gltSjn3UAyvRhCliQshqPTb2VTnfBGpOcIxLKt +pM6SB9desUBOextjAQADA7zp3OzJa++ysViDq2SGFRll+fbpsw/WdC1cqOpS +w709vMd3Ms4nYBtdlTBNY8aKiOtS8v9UPbl8qcHQo2XFqz1c38mTmHrQciHM +b1URhQHLrtqCqu6nrQm/xkzxNL43aYm2nLDpK/Ml9lipMr8itdSyu2smv5HR +bKUbZEnCZji6UD7cgVxSnNRbiuDaKRbIaW9bLABggKAo+8J3SvQjpG0gvL30 +9JZQ/6DNsevD3pzk5u63MrWmxwAuuZn4YWiCNasWtDWsjWm/sWzsDNNi1VqN +8MegMYsLjMdCdl2ltqaqPbMlqVxS/T2v972pc0D8LWTM3KxWa+8K6FckRfno +2ymTvnpg5UqSpSRhJxzI9ybU4NotFuSXo8K2WADAAEFauHD0lP3ViM8NROvF +gJfcI3RzUHV92gcjXGadadCvWWjEt8/sXBHs/fwg92WZyHVXGN6bCFHuZ7PX +5YlNx5j2okWeU76r6t0Wa11VS+qblGajGLk1rCZly9EKhVZVY36nUDz40nd8 +VInV1dHQr0iGqno/zyvc2pck6ZOEnXBYuDehhENLFVz7xILychTYFgsAGCBI +8kJG8f4n6L1JrBae/eitIBPmrM7vGX709ZcTqvRrOtKChW4v99qyIaRFG7yG +BTFdt+i53IwxQ4ZO5JtfzhhcfC068mg5yda76I/X3KadrDcZGqxyVSU4xBs8 +YkGB2aBPYq218sSWE1W6GTTZnQKrjJvsuaTIfCSyLLKVVyRDLTg01eP9ayR/ +x8QN0iQxwF44aO5NKOGgCa49YoGe9tSxAACgG2nBBx489P0W407acfvTV3xM +1ig6bn7s+8avLYirJ5afmwh5Reruo3fJfwAqvRbqwfvetC3WuaoR3cm+UmM+ +4ppbu3sv5l8TJ0zUM85t0P+94OX72tri7iFLWb7dd+zqYus39JCvSIaqOpHn +uZhkVGYEZZKwGg665ybm4aALrh1iYUXa2xYLABggyEsifabGVaK+NaTrpBP2 +/qk7rbOr+ftHP1RqCUVDTTOm75dY1aF3/83+mh72+Hx80vWuQpi4uPTcBWEv +v7HKWN74CNOhh11Xyax1o6498qqXyVOMtHCxNz9VaP3rYchXJAOr2MPz3Uj3 +HgodFEnCWji6UD78BvldCLTg2iUWyLlkWywAYICgEZ4K5G29j7ox29lJXYbP +2bhrX2L8f9duO6vbEyZEV1dMGukdHBFz7FTKD1nVCvQtZ9p7k6Y5c6X3X5/5 +i4FnBvnG/GkyWiof7fTjm+7Js+sqibUeSO4Uyoc7/WYfqbXhhzWoVyRFfm/9 +5KAzDVaWtyZLEhbDoUPVfPfC7sAXn/Val1ZYKWPsJ1Jw7RIL9FyyLRYAMFCQ +l24OCC9EXfw2XtzgELgod9P7u3tPSdl1Fc0aIb2+NfSb2zZ9o4YV/yV582du +tn6qbl2ScCsczhILABgodNyKnBOD9hK5oZOiLwX2AcrajISky096Juvsuopi +TVmbmbgvu8HG306x4T9WERcSZcsPjK1KEh1cCYcTxQIABgrysm9DY8oRxh2N +tCRtzehn//763swSib2+eWADBNbS2rUBwLKraNZwRaMIs/EXluz4j1UeXLSr +zKaZOnKS9MCFcDhVLABgoKBpztoY9VszLIA7J3jrlW1bspFfTDEBkoQN2IkF +AAwYcPGNY8eLoTSPE0K03zt14qaYhXsKJImtsBcLAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAC4AC4uiv10Ln+s+6QlB8pk8LK19ThESTtdFNoC +ANajrM1OL+310xXzI4AFFNUpx25JcC1WfThwdAiT+r0AOQ5R0k4XhbYAgLUQ +7cXxUWfqVHRHAMsQGrlGfzOX3VnDXw6FTa3HIUra6aLQFgCwEpUgeemOEhnt +EcdAqPvlc5vs3p5Pkiqt+vacHemPYjpESTtdFNoCAGgoyqPnfV2moD3CAEJe +cXLNrFdcnhvi7r/qxCOSGt06sPqckz8/6LA0ShKYMO9wZPDU9/KQKs0hOIZL +7qSn5jdbW8sHF+XHrtoQn3wsfv2quGsio6/QEO2lqUdyW2z7YhpnxdQqqk5v +Cg8JGPcPt2nLUwS6D3JzW0lSaOS16aKOaAtJRFi5qEPaAgBGKCt2B77Xa+XY +/AgD5Pfj1h4obMRUrTcPzBs+eOKeCvNCAuonv3y+9DCD6RahbKoT3oj0HIFY +BRXNMXlZQtgXl1qt6GN4y4UPfd7+6UnnqZqGs2/5hF1s6eq7hEKQlX6lUdX5 +Jx2CCqm13ZezYioFp/dfrOt0RtN4ftE/PT42lHrgrpKkUMpr20Ud0haKiPTL +tgCAMXjTudmT196V0R1hgOrJ5UsNhh4uK17t4fpOnsT0Si0XwvxWWS7RakD5 +cAdyhW5Ex4i2nLDpK/MlqGtdmvoUvuu05Mf6RwV17WGea8CPukLfqrrUcG8P +7/GdjPMJ2EZXPk7TmLEi4jqFFpwVU4urZIaVQWX59umzD9YYdiS5qiQpVPIi +XNRObbECioj0y7YAgDGKsi98p0QbV40zP4JI+41lY2eYluLWaoQ/Bo1ZXGA8 +iODtpae3hPoHbY5dH/bmJDd3v5WpPRXHkYdTWmvkjhFtv4WMmZvVajakYsKc +xPDAmZ8kH4ndGB7k5Rt2vCjj4PaIBX6eM9flisQFC0YO775fiK8Gv+S6uAht +X5i2+jytz12nO1ZMXHIz8cPQhPKeZV9uKmlFStBh97bQgRoRLrcFABggLVw4 +esr+ahXdESQIUe5ns9fliU1HqfaiRZ5TvqvqbZZovRjwknuEbsKtrk/7YITL +rDMNhmUC2uFULalvUpqNgzTWKBxTPPjSd3xUCcn0T1byuefI4HONuJZozghy +cVv2exuuVQuSeKPezqm+FDR0ZHdflRYsGD501h9ozyQM701cFFMjvn1m54pg +7+cHuS/L7K5ExFEl0VOCFju3hR7EiHC6LQBgEUleyCje/wRquiOdqIVnP3or +yIQ5q/NNuzUuvhYdebScZPNe9MdrbtNO1pv0HH2R64Qq/QqLtGCh28vdC+Y0 +w6lKcIg3eMSCArOFHGprFI5hlXGTPZeQzQjlpRvHuHf9j7Rg/qix2+53TkmJ +pvN811dPPcqfP2LY3KezSsnVOcOYzip7ZJwxZsjQiXwqGel81uFgMTshpEUb +vIYFZTQbnOOqksgpQYu920LfudAiwu22AIAlpAUfePC69w3IjzCFkFek7j56 +l/wHu9JroR68703NGne3jtufvuLz1QPDsgTdVF8jupN9pcZ8UKGyRumYsny7 +79jVxSR7azQ9N6VW8IPfyO7V+MfJ01z5p4Rou8KWn5s4K+ZTOm5+7PvGry2G +87iqJHJK0GLntlgALSLcbgsAWEJeEukzNa4SozvCDOzx+fik611FPXFx6bkL +wl4msMpY3vgI08FL190m7P1T95eq6kR//+iHT9fQlQ+/Qd6+J7dG45i0cLE3 +P5Ws15n23K1GPbcea8pY6BOiWw7R4o3n5k5Ykolaq9zSvYmjYhKKhppmTD/4 +YVWH3v13zwoSV5VETgla7NwWC6BFhNttAQBLaISnAnn6tKQ+wsRMc+ZK778+ +8xcDzwzyjfnTpLsrH+3045tuO3d2N5fhczbu2pcY/9+1284+3d1VNd+9sDvw +xWe91qUVVsoY9woSa7SOKR/u9Jt9pNbspzkE1nB1X+CLL/B2/V7dWpn1n/HP +D+HvvVzbci9tpfvfRi1LvSPB2nJjPtuQkHx836bVsXltyFNK2hGVs2ISoqsr +Jo30Do6IOXYq5YesakX3FJ2jSqKnBA32b4sFkCLC8bYAgEXkpZsDwgultEfY +ARflbnp/d+/3To2XKWwHzRohvb419Jvb7f1yJZxTYnJYSXY1cSzO1BYAsEzH +rcg5Mb1eGTc/whbK2oyEpMtPeqb7+u5mxQIiOSjWlLWZifuyG/rxJwO5Iian +lWRXE8fiTG0BAAbIy74NjSlX0h5hDwJrae1aH9dqpCVpa0Y/+/fX92aWSGxe +NECzhisaRRgH5/locEFMDivJriaOxZnaAgAM0TRnbYz6zXiz0/wIAAAAAPQt +uPjGsePFxi/Umh8BAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AMBO4OKi2E/n8se6T1pyoEwGb/NbAwc15KBLTgyoDQBso6hOOXZLgmux6sOB +o0OY1MgFTCHTkJCWpmfX0n/0RFmbnV5qnx/3QVj7EmsTAAAASgiNXKMfHWV3 +1vCXX4eK2FZArqGqLi0qvpjyy7REe3F81Jk6O30fEMLal1iVAADgQAh1v0lM +2b09nyRVcm2a148E1JprKCvZsTRZQH73UQmSl+4oISmSaF+XAHuCkgAAwBRC +XnFyzaxXXJ4b4u6/6sQjihraWH3OyZ8fdFgaMQlMmHc4Mnjqe3lIhfbIUVSd +3hQeEjDuH27TlqcIdN+HxiV30lPzm83qGNH7RN1Aor009Uhui23f9uSsgOSO +WaUhSSy6r0KioaLs63eiy8lqlCnKo+d9XYZWvYycfhRWZqasQN3w06LJYUWG +gjvWRdaWK+pBSwAAYIr8ftzaA4WNmKr15oF5wwdP3FNhXiRA/eSXz5ceZjAL +JZRNdcIbkZ4jEIvAkqEUnN5/sa7TGU3j+UX/9Pj4VkeXv2UJYV9camU+7lA2 +kFAIstKvNHbO7vAOQYXU2pGMswJSO4asIUUsqDUU5bwbSCaEsmJ34Hus7AL1 +o7AyMWUNamH6cn8Xt0VGdwrkyNp6RdQEAACmqJ5cvtRgSCFZ8WoP13fyJCZ/ +grdcCPNbVcS0GqLy4Q7kAuVk4CqZYWFLWb59+uyDNYYlAqItJ2z6ynwJw8kn +VQNVdanh3h7e4zsZ5xOwrXcZwd5oGjNWRFynaD9nBaRzDFFDqlhQayi7u2by +GxnNpvbxpnOzJ6+9y8KKXj8KKwNT1qCq+2lrwq8xUzyN703IkbXtisgJAABW +0X5j2dgZppXItRrhj0FjFhcYd0G8vfT0llD/oM2x68PenOTm7rcytaZ78og8 +tNJa0+KSm4kfhiYYrQ8Qbb+FjJmb1Wo28NHaoW6gRSzUJbdk38ECkjpmnYbm +saBC+ejbKZO+emD6h4qyL3ynRKPV1XSWsFrjKrVBVe2ZLUnlkurveb3vTZSR +td8VSaFIAACwAkKU+9nsdXli06RuL1rkOeW7qt7diWi9GPCSe4RufqauT/tg +hMusMw2G53naoVUtqW9SmnUbSmsa8e0zO1cEez8/yH1ZZvPTBQPFgy99x0eV +mE+JabyiaaBFGA5iXBSQ0jF0DcljQYGqej/PK9zsNTlp4cLRU/ZXI95FnCOs +llxFiSxWk7LlaIVCq6oxv1NQRpYh6FckgyIBAAAZXHwtOvJoOck2reiP19ym +naw3GYz0BawTqvRLFdKChW4vd+9B0AytKsEh3uARCwrMMpvamg5CWrTBa1hQ +9woBVhk32XNJEUne09ihbiAVauHZj94K0jFjzJChE/n6f85ZnU8+tHBWQHLH +rNJQax4LCtSCQ1M93r9m6qckL2QU73+C3rv1PTob0UtnpwgrvasokW2tPLHl +RJXuaYbsTkEZWcs6W3lFMigSAMENANDq3yNK3X30LvmvIaXXQj1439eYzHWN +E7jj9qev+HQ/v9NN+zWiO9lXasx7J7W1Ljpufuz7xq8thvOU5dt9x64uJtm1 +oLJD20CLWJ5gc1ZASsfQNXxK71hQoKpO5HkuNhsgpQUfePAOmkphEScIq0VX +mUf27r2Yf02cMFHPOLdB//eCl+9ra4u75w/UkWUI8hXJoEgAAEABe3w+Pum6 +WF8hHheXnrsg7PV6DVYZyxsfYZrrugSesPdP3V92pqG/f/TDpwvryoffIG/l +k1kjFA01zZi+r2JVh979d886krRwsTc/VUiyrETulYUGWsTSIMZRAWkdQ9OQ +OhYUYBV7eL4bzd5EkJdE+kyNq0R9favfh9UGV6nzpBN17ZFXvUyeYqgja68r +kkGRAADAGE1z5krvvz7zFwPPDPKN+dOk3ygf7fTjm+7fdiawy/A5G3ftS4z/ +79ptZ59u+aqa717YHfjis17r0gorZThTL0isEaKrKyaN9A6OiDl2KuWHrGpF +94xS+XCn3+wjtWQ/4yCxw6CBlqAdxDgrIK1jaBpSx4IK+b31k4PONJj6rxGe +CuRtvY+6Q96/w2qbqxR50gXJnYImsna6IikUCQAArIKLcje9v7v3HMj4wd92 +EKwR0utbQ7+5Tf5FFHa9Yg1OCajtCw0lefNnbiaZNctLNweEFzJ9m55Vl9jH +/mFFNkgbWbtckQKqBAAAllHWZiQkXX7SM0fUJzD66gwFjK0pazMT92U3UG1Y +sOsVm3BFQG2faIhVxIVE3SLbkOi4FTknBu0l8gEcVkSDFiJrhytSQZ0AAMA6 +BNbS2rXloNVIS9LWjH7276/vzSyR2PwbdARruKJRhFHNCdn1in24IKC2TzTE +Kg8u2lVGPmmWl30bGlOOcHMasGFFNkgbWbtckQq6BAAAAHAIeOuVbVuyKd+W +0DRnbYz6rRl2IpwWCwkAAADQ9xDt906duCmmu/Xg4hvHjhfbp34T4GgYJAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADgWHBxUeync/lj3SctOVAm +g/d67QhI3WeA1CwCYgKUKGuz00vt83sQRXXKsVsSXItVHw4cHcKkCihgJWRS +E9LS9Oxa+q8k2DH6zgpkNYuAmAAFRHtxfNSZOhs/kkVpXSPX6Ic92Z01/OVQ +p9KOkEutqkuLii+m/DinfaPvrEBWswiICZCjEiQv3VFifaUwhsju7fkkqRLx +G5yANZhKLSvZsTRZQH736aPoW4RQ98vnNm5mNYgJOAOK8uh5X5ehFrwhg5BX +nFwz6xWX54a4+6868ci4wibRXpp6JLfFtg9g0dg3AqvPOfnzgw76zsnMFAqK +qtObwkMCxv3DbdryFIHuE8u45E56an6zDXVukC73FDKpFWVfvxNdThZjq6LP +YiB0XzIV5h2ODJ76Xh5SrUMEx2wMBC7Kj121IT75WPz6VXHXREafyuFaVrMr +5lPUDT8tmhz2tKASt8UEnAllxe7A91hZ4pXfj1t7oLARU7XePDBv+OCJeyoM +QyahEGSlX2nsnLfjHYIKqbXZR2nfCPWTXz5fetji1IuJKSSUgtP7L9Z1GtE0 +nl/0T4+PDR/vl5clhH1xqZX1/kZxOWqpRTnvBpI10qrosxiITo+VTXXCG5Ge +IxDr8KI5Zn0g8JYLH/q8/dOTzlM1DWff8gm72NI1oHIvq9kV8+m1henL/V3c +jIv9cVdMwJnAm87Nnrz2LgtrOqonly81GPqVrHi1h+s7eRL98brUcG8P7/Gd +jPMJ2EZXDUzTmLEi4jpFXTgq+0Z0pn6Y3yrLJTMZmEIEV8kMyyjK8u3TZx+s +MSygEW05YdNX5ktYXmKhuBy11LK7aya/kdFs6oZV0WcxEAaUD3cg14hHdMza +QGjqU/iu05If658T1LWHea4BP+qqkXMwqw2wJKbBvbqftib8GjPFs1chWq6K +CTgVirIvfKdEo5Viw9tLT28J9Q/aHLs+7M1Jbu5+K1N7l1XWtt9YNnaGaTFp +y9DWsLZsXyP8MWjM4gLjxGXdVXqDuORm4oehCUarZ0TbbyFj5ma1WnlzQr0c +FcpH306Z9NUD0z+0Jvq9YCcQyMOpFWGlDAQmzEkMD5z5SfKR2I3hQV6+YceL +Mg5uj1jg5zlzXa5IXLBg5PDu+4X4avBLrouL0Dbr+zirWRRTVXtmS1K5pPp7 +Xu97U38QE+j3SAsXjp6yvxrxLkK0Xgx4yT1CN3NS16d9MMJl1pmGnudwQpT7 +2ex1eWLk8Zhh4lHZby9a5Dnlu6rebbHBVbWkvklp9j+UBjXi22d2rgj2fn6Q ++7LM7toyigdf+o6PKrG6Chri5ShQVe/neYWbvQFlXfR7fGMpELTDKWIUKB2j +DoSs5HPPkcHnGnEt0ZwR5OK27Pc2XKsWJPFGvZ1TfSlo6MjuAVRasGD40Fl/ +oD2T9HFWsyYmVpOy5WiFQquqMbs3cV5MwAmQ5IWM4v1P0HtrUy08+9FbQSbM +WZ3f02/0VZUTqvSLEdKChW4v92x54OJr0ZFHyxFeL+i53IwxQ4ZO5Jtfzhhq ++6I/XnObdrLeZJi21lWV4BBv8IgFBWbrBzQGtbrfExVt8BoW1L1+hlXGTfZc +QjI7tCyyNZejQC04NNXj/WumbbEy+l2wFwia4dSaKJA7RhkIrbx04xj3rv+R +FswfNXbb/c7nS6LpPN/11VOP8uePGDb36VRfcnXOMKZTfUdlNUtitlae2HKi +Svf8RHZv4raYgFMgLfjAg9e9PcIY42TuuP3pKz6G9SJCXpG6++hdK3/HaXlS +RGtfei3Ug/e9aVusdlUjupN9pcZ8tKAy+JSOmx/7vvFri+E8Zfl237Gri63f +0EO7HAWq6kSep/k4YGX0tawGgn6qjxoFSseoA0EznKbUCn7wG9m9RfI4eZor +/5QQbau+T7OaLTHv3ov518QJE/WMcxv0fy94+b62trh7UsRhMQFnQV4S6TM1 +rhL1NTVdMk/Y+6futM5hz98/+qFuhoU9Ph+fdL2rICUuLj13QYhm11LiWbCP +VcbyxkeYdhjWXSUzSCgaapoxfZ/Hqg69+++eRTZp4WJvfipiD7T+chRgFXt4 +vhvNNpmtjD6bgdChfPgN8vY9clipA2E6nG41Gk7rsaaMhT4hujUqLd54bu6E +JZmoxd77MKt1sCemAXXtkVe9TJ6bOCsm4DxohKcCefr8QaIzmV2Gz9m4a19i +/H/Xbjur2zvVNGeu9P7rM38x8Mwg35g/EQc92sRjYF/5aKcf33QzmXVXSQwS +oqsrJo30Do6IOXYq5YesakX3zFT5cKff7CO1NvzICelyVMjvrZ8cdKbBdCCw +KvosBkKHqvnuhd2BLz7rtS6tsFLGeKhCDStVIAis4eq+wBdf4O36vbq1Mus/ +458fwt97ubblXtpK97+NWpZ6R4K15cZ8tiEh+fi+Tatj89qQZxl9ldU62BOz +B5J7E0fFBJwLeenmgPBC1JcyjRcBOAQuyt30/u7ejwesu4pgkJBe3xr6zW3K +7wWxfDlqJHnzZ24meTfXuuhbxv6BQLPGRiAcBogJDEw6bkXOiUF9jVifzFYs +BtkfZW1GQtLlJz2zTNZdZWxQWZuZuC+7wcYv1bHhP1YRFxJl/ApFN1ZFnxF2 +DgSKNXYC4UhATGAgIi/7NjSmHGF40khL0taMfvbvr+/NLJFw8CfcBNbS2rUZ +w76rCAZxRaMIs3FuyY7/WOXBRbvKyF9jR44+AnYLBJo1NgLheEBMYOChac7a +GPUb6q4k0E/AW69s25JN+bYERB8AAK6Ci28cO14MFXycEKL93qkTN8V0tx6I +PgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAjgIXF8V+Opc/1n3S +kgNlMtZea7aTWYdc1CFtcTJAQ9sBDYGBhKI65dgtCa7Fqg8Hjg5h7ZuOdjLr +kIs6pC1OBmhoO2QaEtLS9Oxa44+MmB8BgH4JoZFr9DMw2Z01/OVmdVo5ZtYh +F3VIW5wM0NB2yDVU1aVFxRcbfwbW/AgA9GNk9/Z8klTJ+nTLTmYdclGHtMUi +hLo/DUKgoe2Yaigr2bE0uVdFD/MjAMBhCHnFyTWzXnF5boi7/6oTj4xrcRLt +palHclus+4glLsqPXbUhPvlY/PpVcddERt/qscksI9QNPy2aHNar0g2X20IT +AiOw+pyTPz/osDRcEpgw73Bk8NT38pCq2tHSW09ccic9Nb8ZrRSWvdKMgX0j +HKAhuWNWafgUhumtKPv6nehyBe0RAOAs8vtxaw8UNmKq1psH5g0fPHFPheED +/YRCkJV+pbFzloV3CCqkiCMH3nLhQ5+3f3rSeZqm4exbPmEXW3AWzDJCLUxf +7u/iZlSFjdttoQyBcZue/PL50sMMniwIZVOd8Eak5wjEiqs0mOuplZclhH1x +qZV5i+2UZpbtG7fDERpSO4asoQHm6S3KeTewtxDmRwCAo6ieXL7UYMhVWfFq +D9d38iT643Wp4d4e3uM7GecTsI2kGh4tmvoUvuu05Mf6eaG69jDPNeBHXeFo +G80yQVX309aEX2OmeHZ3Xo63hSoERnTeHcP8VhUxLT2ofLgDuRo4tXtmeuog +2nLCpq/MlzBc9GIhzTSNGSsirlNIwFkN6RxD1NBgECG9ZXfXTH4jo9nIvvkR +M2h1BgA7gLeXnt4S6h+0OXZ92JuT3Nz9Vqb2Lvmsbb+xbOwM05rTVGDCnMTw +wJmfJB+J3Rge5OUbdrwo4+D2iAV+njPX5YrEBQtGDu/uhuKrwS+5Li5ib6eb +ui2q2jNbksol1d/zeo+l3G1LL8hDoBH+GDRmcYFxc2ijiTyuWqEn0fZbyJi5 +Wa2mwxzLadYD4yLgnNOQ0jF0DdHSW/no2ymTvnqgoDtiBhRbB/oeovViwEvu +EbqJmro+7YMRLrPONPSsKBCi3M9mr8sTM57FyUo+9xwZfK4R1xLNGUEubst+ +b8O1akESb9TbOdWXgoaO7B7BpQULhg+d9Qd7+x9UbcFqUrYcrVBoVTVI9yYH +t6WnURQhaC9a5Dnlu6reoy1NNGnHVbWkvklpFmR0PRUPvvQdH1Vi/qTDcpo9 +heGYyTkN6RxD1BA1vVXV+3le4cZvP5ofMQPuTYAD0Fd8TqjSLzFICxa6vfxx +d3lwXHwtOvJoOcUWMiny0o1j3Jfox2xpwfxRY7fd75yOEU3n+a6vnnqUP3/E +sLlPnzUkV+cMY/qsoRae/eitIBPmrM43HWxI2tJaeWLLiSrdBBP53uTYtnRB +HQLRH6+5TTtZb7IzQR1NmnFVJTjEGzxiQYGZNMh6YpVxkz2XkAnBapr1aDhj +zJChE/n9TEP6hiNpiJ7easGhqR7vX5PSHen+HySdAYBdjBO+4/anr/gYnu4J +eUXq7qN3EYva0YznKbWCH/xGdu/RPE6e5so/JWT1vQfztty9F/OviRMm6hnn +Nuj/XvDyfW1tcYclQxxoi9ZCCKTXQj1439eYrFJRRZN+zq8R3cm+UmM+eCPr +qSzf7jt2dbHM/BLsplm34xbn8xzU0ELDUTS0Ir1V1Yk8z17zKPMj5o2D5yag +79El/IS9f+oSvjNJ/f2jH+pmYdjj8/FJ17sKsuLi0nMXhMze4zEdz7cajef1 +WFPGQp8Q3SKZFm88N3fCkkyWi42Tt8WAuvbIq162PDf1bVsshQCrjOWNjzAd +wqgVUD78BnkfH1lPaeFib34q2U2a3TR7iqUxk7Ma0jiGqqEBpumNVezh+W40 +fsHE/IgZcG8CHEBnwrsMn7Nx177E+P+u3XZWt7+qac5c6f3XZ/5i4JlBvjF/ +MhkzCKzh6r7AF1/g7fq9urUy6z/jnx/C33u5tuVe2kr3v41alnpHgrXlxny2 +ISH5+L5Nq2Pz2th+0CBpSw9o9yYHt4VBCJSPdvrxTbf3KRRQNd+9sDvwxWe9 +1qUVVsoY30RR9VQ+3Ok3+0gt2Q90WEwzI2jHTM5qSOsYmoY9ME1v+b31k4PO +NOB0R8yAexPgAIwXCvo7ztQWy+Ci3E3v7+4932VXATRrhPT61tBvbpN/AIej +oRl4Gkry5s/c3KvB5kcAgAvoEz6ukmuDhlU4U1sYoazNSEi6/KRn3s+uAijW +lLWZifuyG6jeAuduaAaWhlhFXEjUrQ7aIwDgeDTSkrQ1o5/9++t7M0skdvxe +UF/gTG1BgMBaWrGuaTa7CqBZwxWNIozqhQauh2bgaIhVHly0q0xOewQAAAAA ++g689cq2LdnNGrojAAAAANB3EO33Tp24KcbpjgAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAADcABcXxX46lz/WfdKSA2Uy+Dy9HQGpHQLI3meA1AMO +ZW12eqmVH/q3gKI65dgtCa7Fqg8Hjg6BDy7aETKpCWlpenatkvY88+jbMR+c +D/ZkBywAg8kAg2gvjo86U4daUJqpdY1co+9/sjtr+Mtpy1MCtkEutaouLSq+ +mPzzm1qy6Ns3H5wPlmQHLAODycBCJUheuqOEpBYYu8ju7fkkqZJ+JgmwgqnU +spIdS5MF5MOgefT7KB8ItbM9Mdgmu2Pop1GAwWRAoCiPnvd1mYIFS4S84uSa +Wa+4PDfE3X/ViUfGNTSJ9tLUI7kttn33isa+EVh9zsmfH3TQdzlmplBQVJ3e +FB4SMO4fbtOWpwh031rGJXfSU/ObySrZ2I755Z5CJrWi7Ot3osvJYmwefbJ8 +YFF53ZdJhXmHI4OnvpeHVOSOHKeRnQGcjQK5YzYGAhflx67aEJ98LH79qrhr +ol6fKmJhMAG4j7Jid+B7rCzcyu/HrT1Q2IipWm8emDd88MQ9FYa+SygEWelX +GjsnkHiHoEJqbU5R2jdC/eSXz5cetjihYmIKCaXg9P6LdZ1GNI3nF/3T42PD +N/vlZQlhX1xqZb0XUVyOWmpRzruBZI00jz5ZPrCofKeLyqY64Y1IzxGIBVjJ +cB7ZGcDZKFA7Zn0g8JYLH/q8/dOTzlM1DWff8gm72NJ1d2JpMAG4D950bvbk +tXdZWFxQPbl8qcGQlLLi1R6u7+RJ9MfrUsO9PbzHdzLOJ2AbXREwTWPGiojr +FKUvqewb0ZnQYX6rLNfOZGAKEVwlMyyOKMu3T599sMawkkO05YRNX5kvYXnh +hOJy1FLL7q6Z/EZGs6kb5tEnywcWlTegfLgDuTg4GU4jOwM4GwU6x6wNhKY+ +he86Lfmx/qFLXXuY5xrwo67MO1uDCdAPUJR94Tsl+hHSyi3eXnp6S6h/0ObY +9WFvTnJz91uZ2ru+srb9xrKxM0xrRVuGcelkcvsa4Y9BYxYXGKcj667SG8Ql +NxM/DE0wWsYh2n4LGTM3q9XKURL1clQoH307ZdJXD0z/0Dz6lvKBHeWRR0Vn +lx0RTkaB1DHKQGDCnMTwwJmfJB+J3Rge5OUbdrwo4+D2iAV+njPX5YrEBQtG +Du++x4mvBr/kurgI7c0HqMPe35EWLhw9ZX814l2EaL0Y8JJ7hG4+pK5P+2CE +y6wzDT1P14Qo97PZ6/LEyAMDw3Sist9etMhzyndVvdtig6tqSX2T0ux/KA1q +xLfP7FwR7P38IPdlmd0lZRQPvvQdH1VidfEzxMtRoKrez/MKN3uvyTz69PnA +lvK0o+JAlB3NNw5GgdIx6kDISj73HBl8rhHXEs0ZQS5uy35vw7VqQRJv1Ns5 +1ZeCho7svhtJCxYMHzrrD7QHPLg39XckeSGjeP8T9N6wVAvPfvRWkAlzVuf3 +JJ2+vHJClf5JXlqw0O3lnrV3XHwtOvJoOcLrBT2XmzFmyNCJfPPLGUNtX/TH +a27TTtabjBfWuqoSHOINHrGgwGxVgMagVvfDlqINXsOCuhdysMq4yZ5LSOZ8 +lkW25nIUqAWHpnq8f820LebRJ80HA+wpTzMqDkzZERzjbBTIHaMMhFZeunGM +e9f/SAvmjxq77X7n8yXRdJ7v+uqpR/nzRwyb+/S5SXJ1zjCmz01ogwnAYaQF +H3jwutfpGWOcoh23P33Fx7BwQcgrUncfvWvlDwotT3Vo7UuvhXrwvjdti9Wu +akR3sq/UmI8BVAaf0nHzY983fm0xnKcs3+47dnWx9Rt6aJejQFWdyPM0793m +0afMBxaVp5+xD0jZmcLZKFA6Rh0ImntTSq3gB7+R3ftNj5OnufJPCdHee4Dn +pv6OvCTSZ2pcJepraroUnbD3T91pnf3P3z/6oW7dGXt8Pj7pelcdSlxceu6C +EM2upXSyYB+rjOWNjzDtBqy7SmaQUDTUNGP6jolVHXr33z2rPdLCxd78VMR+ +Zf3lKMAq9vB8N5ptHZtHnyIfWFReh/LhN8i78E4tOzM4GgVax6gDYXpv2mp0 +b6rHmjIW+oToFvy0eOO5uROWZDYjlreFe1N/RyM8FcjTZwUSnSnqMnzOxl37 +EuP/u3bbWd2OqKY5c6X3X5/5i4FnBvnG/InY+2jTiYF95aOdfnzTLWLWXSUx +SIiurpg00js4IubYqZQfsqoV3dNH5cOdfrOP1Nrwaxuky1Ehv7d+ctCZBtPu +bR59snxgUXkdqua7F3YHvvis17q0wkoZ4xHHqWVnAGejQOsYVSAIrOHqvsAX +X+Dt+r26tTLrP+OfH8Lfe7m25V7aSve/jVqWekeCteXGfLYhIfn4vk2rY/Pa +kGcZcG/q98hLNweEF6K+amn8aM8hcFHupvd3956nsu4qgkFCen1r6De3KT9c +w/LlqJHkzZ+5meSNW/PoW5cPfaC8c8vODpyKgpadQAADl45bkXNiUN9n1aeo +FasS9kdZm5GQdPlJz9yRdVcZG1TWZibuy26w8ZNpbPiPVcSFRBnv5XdjHn2r +8kGHnZV3ctnZgitR0LIVCGAAIy/7NjSmHKGfaKQlaWtGP/v31/dmlkg4+MNs +Amtp7doVYN9VBIO4olGE2ThjZMd/rPLgol1l5O9Tm0cfOR96sJvyA0B29uBC +FLTsBAIY4GiaszZG/Ya61wj0E/DWK9u2ZFNu25tHH/KBDZBlBwDADFx849jx +Yigl44QQ7fdOnbgpphsDzaMP+WArVskOAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAADAEFxcFPvpXP5Y90lLDpTJ+ui9ZDtd1CFtcTKcIB8gDQCg +/6OoTjl2S4JrserDgaND+ugLl3a6qEPa4mQ4QT6QWSOkpenZtfb5mgYAAHaA +0Mg1+pml7M4a/nKzQqv96qIOaYuT4QT5QG5NVZcWFV8MH48FgH6G7N6eT5Iq ++3hiaaeLOqQtFiHU/WlcdIJ8MLUmK9mxNFkAH5AFOA8hrzi5ZtYrLs8Ncfdf +deIRRSl4rD7n5M8POuiHFWamrEDd8NOiyWFFhpoIuOROemp+s7W1hXBRfuyq +DfHJx+LXr4q7JjL6Kg7RXpp6JLfFjl/f7d0Q2y9q57awmBu6L6gK8w5HBk99 +Lw+pGB+CYzYlBtuhoYVGWBsuyrAJirKv34kuR604BwB9jPx+3NoDhY2YqvXm +gXnDB0/cU2H++X71k18+X3rY4kSOiSlrUAvTl/u7uC0y6nTysoSwLy61WtGB +8ZYLH/q8/dOTzlM1DWff8gm72NI1ohMKQVb6lcbO+STeIaiQ2uMGZd4Q2y5q +77awmBudPimb6oQ3Ij1HIBaKRXPM2sRgOzT0UPpvy0WZN0GU824gW50TAOyE +6snlSw2GLJUVr/ZwfSdPYvInnSNgmN+qIouF3BiYssrDup+2JvwaM8XT+N6k +JdpywqavzJegPppp6lP4rtOSH+vn1urawzzXgB919a5Vdanh3h7e4zsZ5xOw +jaScnc2YN8TGi7LQFk1jxoqI6xShZTE3DCgf7kAuYo7omFWJwXpoLFyOwn9b +LorSBNndNZPfyGjuT2urwMCm/caysTNMK1JrNcIfg8YsLjAefvD20tNbQv2D +NseuD3tzkpu738rUGiUDU5RQG1TVntmSVC6p/p7X+97UOQb9FjJmblarWQfD +hDmJ4YEzP0k+ErsxPMjLN+x4UcbB7REL/DxnrssViQsWjBzePZSJrwa/5Lq4 +iL2dbisaQofd28K47jY7uYF8b7Ii06gSg+XQ2M1/q6yhNUH56Nspk756AKt6 +QP+AEOV+Nntdnti0T7cXLfKc8l1V785DtF4MeMk9Qjc9VdenfTDCZdaZBo1F +U3rUkvompdn/kBvEalK2HK1QaFU15p1O8eBL3/FRJSRzS1nJ554jg8814lqi +OSPIxW3Z7224Vi1I4o16O6f6UtDQkd0juLRgwfChs/6wff/DlobQYue2MLw3 +sZUbtPcmlMSgc4wyMVgODTNs6CmMraE2QVW9n+cVDi9wAv0CXHwtOvJoOclu +t+iP19ymnaw3WfrWl5ZOqNIvTEgLFrq9/HF36WxqU52oBId4g0csKDDrPyQG +WytPbDlRpZsYknU6rDJusucSsucEeenGMe5d/yMtmD9q7Lb7nTNEouk83/XV +U4/y548YNvfps4bk6pxhTJ811MKzH70VZMKc1fmm4wpyQ2ixd1tmjBkydCKf +qi1dsJcbNPcmlMSgzzTqxGA1NDbkA6OeQg4rTVALDk31eP8ayd8xbRQA9A2E +vCJ199G75FXapNdCPXjf15gsOhj3kY7bn77iY1gioDWlQyO6k32lxrw7mhu8 +ey/mXxMnTNQzzm3Q/73g5fva2uKn/VqrLN/uO3Z1scz8EjTjeUqt4Ae/kd17 +NI+Tp7nyTwlZ3edGbggtdm6L5ecmFnOD/rmJeWJYyDTqxGA3NAyxuqcwtGZF +E1TViTxPNpeyAcAuYI/Pxydd76owiotLz10Q9nqDB6uM5Y2PMO3quj4yYe+f +ur/szHR//+iHSsum6CA3aEBde+RVL5MJobRwsTc/lWwsNh3PtxqN5/VYU8ZC +nxDdIpkWbzw3d8KSTJbLeiM3hBY7t8XSvYnF3NChfPgN8rsQyJlGnRjshsZe +/lthDbEJWMUenu9Ge7zvAwCsoWnOXOn912f+YuCZQb4xf5r0EuWjnX58093a +zj7iMnzOxl37EuP/u3bbWd2WLANTNJAY7IGk0ykf7vSbfaTW7LcsBNZwdV/g +iy/wdv1e3VqZ9Z/xzw/h771c23IvbaX730YtS70jwdpyYz7bkJB8fN+m1bF5 +bWy/LI7aEBrs3xbaexOLuaFD1Xz3wu7AF5/1WpdWWCljfBNFzTSqxKB2rAs7 +3ptY7CmsNEF+b/3koDMN7M7JAKDvwUW5m97f3XuaZby2wApoBgnp9a2h39zm +4qdXWFeG09g/N1hMDIeExpFqUCDJmz9zMzw2AU6BsjYjIenyk575sb6PxFWy +fG9iaFBZm5m4L7uBm59dYV0ZrmPn3GAxMRwSGsepQQVWERcSdYvVTTUAcCAE +1tKKdU1HNdKStDWjn/3763szSyRsrImhGcQVjSKMg09MWjso0z+wW26wmBgO +CY0j1aACqzy4aFcZPDUBAAAAXAFvvbJtS3bzwJk3AQAAAByHaL936sRNMbwF +AQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADghuLgo9tO5/LHuk5Yc +KJNx85e6/QaHiGmni0Ji2A5oCBhQ1manlyJ+TH+Ao6hOOXZLgmux6sOBo0OY +VHYFKHGImHa6KCSG7YCGgB6ivTg+6kwdNz8ex1kIjVyjv5nL7qzhL4cSnzbh +EDHtdFFIDNsBDQEdKkHy0h0lJIXS+hhC3S+f22T39nySVKm0/IeAZRwipp0u +ys3E6F+9jJsaAn2Eojx63tdlCrSTCHnFyTWzXnF5boi7/6oTjyhqPmP1OSd/ +ftBhqTMQmDDvcGTw1PfykErCITiGS+6kp+Y3k1XcYQIuyo9dtSE++Vj8+lVx +10RG32Mh2ktTj+S22PbtMBbFZGYKBUXV6U3hIQHj/uE2bXmKQPd1am6LSY55 +K1i5aP9JDO72MjuFBuj/KCt2B76HuqArvx+39kBhI6ZqvXlg3vDBE/dUmH9S +X/3kl8+XHmYw5yGUTXXCG5GeIxDLlaI5Ji9LCPviUqsViY63XPjQ5+2fnnSe +qmk4+5ZP2MWWrkGIUAiy0q80qjr/pENQIbW2D7EoJhNTSCgFp/dfrOs0omk8 +v+ifHh8b6h5wV0yUVth60X6UGJztZXYKDeAE4E3nZk9eexdtRU/15PKlBkM6 +yopXe7i+kycxtdtyIcxvFeMan8qHO5BLaSM6RrTlhE1fmS9BfZTQ1KfwXacl +P9ZPB9W1h3muAT/qynGr6lLDvT28x3cyzidgG10hNU1jxoqI6xRasCgmA1OI +4CqZYQ1IWb59+uyDNYZNSQeKaQUUrbDxov0oMQxwsJfZJzSAM6Ao+8J3SvQj +61d0228sGzvDtGa2ViP8MWjM4gLjToO3l57eEuoftDl2fdibk9zc/Vam9tR7 +Ru41tNbIHSPafgsZMzer1azbYMKcxPDAmZ8kH4ndGB7k5Rt2vCjj4PaIBX6e +M9flisQFC0YO7+594qvBL7kuLkLbnKWtS07rc9fpiGLSmKKE3iAuuZn4YWhC +ec/Kr+PEZLMVFnC2xHBkL2M5NIDzIy1cOHrK/mpr39EjRLmfzV6XJzbNxPai +RZ5TvqvqbZZovRjwknuEblKlrk/7YITLrDMNhmd12l6jltQ3Kc0GQRprFI4p +HnzpOz6qhGQOJiv53HNk8LlGXEs0ZwS5uC37vQ3XqgVJvFFv51RfCho6snvQ +kRYsGD501h9oU0+GQxBbYtKY0oOop0Z8+8zOFcHezw9yX5bZXZbHYWLSg9gK +SzhXYji2l7EcGsDZkeSFjOL9T9B7/1ItPPvRW0EmzFmdb9o5cPG16Mij5SR7 +tKI/XnObdrLeJM/05Z4TqvTLAdKChW4vdy8v0/QaleAQb/CIBQVmCxfU1igc +wyrjJnsuIZvayks3jnHv+h9pwfxRY7fd75zAEU3n+a6vnnqUP3/EsLlPp8eS +q3OGMZ0e98g4Y8yQoRP5VDLS+awDVUwaU1rr9OyEkBZt8BoWlNFsMOo4Melz +Eq0VlnCuxHBwL2M1NEzzAei3SAs+8OB1byOgQMgrUncfvUv+g13ptVAP3vem +Zo2Ts+P2p6/4fPXA8BBPN6PTiO5kX6kx75pU1igdU5Zv9x27uphkb41mCEqp +FfzgN7J7W+Fx8jRX/ikh2uTO8vSYRTFpTem9QdTzKR03P/Z949cWw3kOE9MC +aK2whDMlhsN7GbuhAZwdeUmkz9S4SuTXubDH5+OTrneVt8TFpecuCHuZwCpj +eeMjTBNUl5wT9v6p+0tVdaK/f/TDpyvOyoffIO/SklujcUxauNibn0o2fJgO +QVuNhqB6rCljoU+Ibl1HizeemzthSWYzYlVPS0MQi2JaMEUHmUFC0VDTjOlH +C6zq0Lv/7llycZiYrLbCEs6TGDoc3MvYDQ3g7GiEpwJ5+h6HclJz5krvvz7z +FwPPDPKN+dNkCFQ+2unHN9287UxOl+FzNu7alxj/37Xbzj7dC1U1372wO/DF +Z73WpRVWyhh3bxJrtI4pH+70m32k1uznFwTWcHVf4Isv8Hb9Xt1amfWf8c8P +4e+9XNtyL22l+99GLUu9I8HacmM+25CQfHzfptWxeW3IvYd2CGJRTAamaCAx +SIiurpg00js4IubYqZQfsqoV3XNax4nJZivocZ7E0OHgXkZuytrQAAMBeenm +gPBCpm+hMgcX5W56f3fvlz+NH+ptB80aIb2+NfSb2+39MvntLyaaQQ6Lybos +nKZf9bKBFRrAdjpuRc6JseElcmqUtRkJSZef9Mzq9MlpxQIiOSjWlLWZifuy +G/rxJwPtLCaKQU6LybosXKf/9LIBFxrAVuRl34bGlNvnm1UE1tLatZqs1UhL +0taMfvbvr+/NLJHYvJKDZg1XNIowDk7y0bCbmGgGOSwm67L0D/pDLxugoQFs +Q9OctTHqN5b3pAEAAADAJnDxjWPHi6F+EwAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAANCX4OKi2E/n8se6T1pyoExm60vt7FoDqHBunZ27dZwC +pAa4iqI65dgtCa7Fqg8Hjg5hUhEU1RohLU3PrqX/CoayNju9FH7txRhmOjM5 +YjV2DBm7OQnQYG2HBQC7Q2jkGv0AI7uzhr/8uo3VusmtqerSouKLKb9TSrQX +x0edqePm1+K4CVOdmRyx6vp2DRm7OQnQYFWHBYC+RHZvzydJlWxNlkytyUp2 +LE0WkA9lKkHy0h0lJJXR2IVQO2FXs6wzkyPI9FHI2M1JgAaUDgsALEPIK06u +mfWKy3ND3P1XnXhkXHCTaC9NPZLbgvRBSEXV6U3hIQHj/uE2bXmKwPhTx2TW +FGVfvxNdTla0SlEePe/rst7/Q+OqEVh9zsmfH3RYuuUQmDDvcGTw1PfykEq8 +0aJu+GnR5LAiQ6ETXHInPTW/mayCjp2uqIeZzkyOIEIWMmtNIWURMmwmErWr +NtCPEgkA7IT8ftzaA4WNmKr15oF5wwdP3FNh6F6EQpCVfqWxc46EdwgqpMwG +A6Xg9P6LdZ0WNI3nF/3T4+NbHVp6a6KcdwO7L2lsqGJ34HsmWwqUrhqhfvLL +50sPM5hUE8qmOuGNSM8RiOVHaVAL05f7u7gtMurg8rKEsC8utdrrc8/mV2Su +M5MjSJCFzEpLqFmECIuJROmqLfSvRAIAu6B6cvlSgyHTZMWrPVzfyZPoj9el +hnt7eI/vZJxPwLbeRdOowVUywxqZsnz79NkHa7oe/6mtye6umfxGRrPp3BRv +Ojd78tq7vZaHqFw1Pq3lQpjfqiKmBRqVD3cgl8amRFX309aEX2OmeBoPKVqi +LSds+sp8iT0WDs2viKIzkyMokIXMSpCzyAxNY8aKiOsUecBmIlG4agv9LZEA +wEbw9tLTW0L9gzbHrg97c5Kbu9/K1Jres8L2G8vGzjAtLG2VNVxyM/HD0AQG +z/7KR99OmfTVA9M/VJR94TslmrrQIrmrGuGPQWMWFxiPKLR+It+bqK2pas9s +SSqXVH/P6z2kdI4pv4WMmZvVau2Ij35FUsx1ZnIEBUshI4OtLDKDtsa6Mewk +ErKrzpRIAGAzROvFgJfcI3RzL3V92gcjXGadaehZJCBEuZ/NXpcnZpr7lNY0 +4ttndq4I9n5+kPuyzGYLqxCq6v08r3Czd66khQtHT9lfTXGbpHK1vWiR55Tv +qnqfRdNq2nuTWlLfpDQTg9waVpOy5WiFQquqMe/gigdf+o6PKmH44EnSWOQr +kmGuM5MjKNCHjAp2ssgMhvcmdhLJgqvOnkgAYDv6WswJVfrlDGnBQreXe5bH +cfG16Mij5RS7wqjWtLpfQxRt8BoWZOnpXy04NNXj/WumXUKSFzKK9z8B6e4v +tauiP15zm3ay3mR0oPaT5t6kEhziDR6xoMCsr5JYa608seVElW4SStbBscq4 +yZ5Lisw7s1p49qO3gkyYszrfdKREviIZ5jozOYLiKmnILJ/IShaZX27GmCFD +J/KpJO2CvUSicdX5EwkAbMc4OTtuf/qKj+HZnJBXpO4+ehfxF5NU1p7ScfNj +3zd+baE3qqpO5HkuNutw0oIPPHhki/e0rkqvhXrwvjc9i9pPuucmjehO9pUa +83HL3NrdezH/mjhhop5xboP+7wUv39fWFnePWsry7b5jVxdbvw+DfEUyzHVm +cgQFypDRw0oWmWH5uYnVRKJz1ekTCQBsR5ecE/b+qUvOzhTz949+qJsxYY/P +xyddF+srwePi0nMXhMzewiGzRigaapoxfT/Eqg69+2+LqzFYxR6e70azbW15 +SaTP1LhKU0csuIpVxvLGR5j2XvJW61A+/Ab5XQhqa52oa4+86mUy+ZQWLvbm +pwqtf8MK+YpkmOvM5AgKFCGzBCtZZIalexNriWS9q06TSABgO53J6TJ8zsZd ++xLj/7t221ndXqimOXOl91+f+YuBZwb5xvzJcHghsUaIrq6YNNI7OCLm2KmU +H7KqFRanu/J76ycHnWnATQ5rhKcCeVvv95qWMnBV+WinH990Z5vETx2q5rsX +dge++KzXurTCSpmpAyit7oGkgysf7vSbfaTWht+moF6RFHOdmRxBgSxkDGAl +i8ydobs3sZhINrjqNIkEALZj/FDPEWuSvPkzN5PMwuSlmwPCC5FXtXFR7qb3 +d/e258hWE9LrW0O/uW3TZ17spDOTI0hYFzJ2o8MakEgU2JgkAECKPjnRl13s +aA2riAuJIv29YsetyDkxaG8kd6GszUhIuvykZ8rruFYrazMT92U32PiTF/vo +zOQIIlaFjN3osAkkEgk2JwkAmKGRlqStGf3s31/fm1kisfn35exYwyoPLtpV +Rj4Jk5d9GxpTbtVX0wispbVrD8ChrcYVjSLMxh8p2ktnJkeQQQ4Zu9FhH0gk +E1hIEgDgPnjrlW1bsik3jzXNWRujfmuGlW1bMdeZyRFrgJA5NewkCQBwHKL9 +3qkTN8V04xguvnHseDHUb7IJc52ZHLEWCJnTwl6SAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAP0a1eMfFv/rW+t+IgsYA0qyCIg5cMDFRbGfzuWP +dZ+05ECZrJ//ekFZm51eivYTDCtOGQAQsoc/7t3Jn74dBgEbASVZBMQcSCiq +U47dkuBarPpw4OgQJrWOOQvRXhwfdaYO5dNUVpwyEMBFRcdO3a//Yx4fBgHb +ACVZBMQcWBAauUb/0CC7s4a/vD8X5FUJkpfuKEGqz2XFKdZAqPvVY5lKeOHI +/1eHacW5XBwE+pOY3Fayn8FhMftRTvYjV7uR3dvzSVIlpyKOhqI8et7XZUg1 +ZshOIeQVJ9fMesXluSHu/qtOPKKoZI7V55z8+UGHpTATmDDvcGTw1PfykIrc +kdsidQyX3ElPzW+2tvQLLsqPXbUhPvlY/PpVcddE+o+WKCvi5r8z79133w0J +GDF0bPDyIzVWf96Ys2JqFVWnN4WHBIz7h9u05SkCXQMHjJLMTKHQ38TUKqrT +d34Vm3T0++jPl21OJ1s26Ucd3Gm7j8Hv9tLUI7kt/flLf8qK3YHvoS1Jkp0i +vx+39kBhI6ZqvXlg3vDBE/dUmPcA9ZNfPl96mMF9nFA21QlvRHqOQCzASga1 +Y/KyhLAvLrVaETy85cKHPm//9KTzVE3D2bd8wi62GH9SS5I3P+AbWyaonBVT +KTi9/2LnFFyraTy/6J8eHxsqAwwIJZmYQqLfiampPzWbt+Ge7pPbRNuldyb+ +vzdMVov6UQd38u5DKARZ6VcaOycPeIegQto/b1B407nZk9feRVmeIztF9eTy +pQZDTsiKV3u4vpMnMT2t5UKY3yrLVSQNKB/uQC4OTgKdY0RbTtj0lfkS1Amw +pj6F7zot+bF+rqOuPcxzDfjRuC40g0FA05ixIuI6hRacFVOLq2SGpQ1l+fbp +sw/WGGbODlSSFhaVZGAKkf4mps7mNNeZ+ys6Tajrjv/r1S97V/TtRx3cybuP +qi413NvDe3wn43wCttGVPaQdiByMouwL3ynRSNXPLJ3SfmPZ2BmmxZu1GuGP +QWMWFxirgLeXnt4S6h+0OXZ92JuT3Nz9Vqb2FEVGzgdaa+SOEW2/hYyZm9Vq +lhOYMCcxPHDmJ8lHYjeGB3n5hh0vyji4PWKBn+fMdbkiccGCkcO7u4D4avBL +rouL0DYcaQtk0/rcdbpjxcQlNxM/DE0o7xmaHKckY9hRksYUJU4jJt52OXLi +0FHv/ufgzshNJ+73fjm5H3Vw6D7dMB6IHIC0cOHoKfurUV64oz+FEOV+Nntd +nthU5vaiRZ5TvqvqfRbRejHgJfcI3YxBXZ/2wQiXWWcaDDM92nxQS+qblGaB +pLFG4ZjiwZe+46NKSOYVspLPPUcGn2vEtURzRpCL27Lf23CtWpDEG/V2TvWl +oKEju5NAWrBg+NBZf6BNqhimBBfF1Ihvn9m5Itj7+UHuyzK7C9c4TEmGsKUk +jSk9zi6mvHRXwJgXBrkEbrnY2HuPpB91cOg+3XD53iTJCxnF+5+gd5qphWc/ +eivIhDmr87vCTnqKAVx8LTryaDnJPrHoj9fcpp2sN1n51NdETqjSP5NLCxa6 +vfx0DZYuH1SCQ7zBIxYUmD2JUlujcAyrjJvsuYRsqiEv3TjGvet/pAXzR43d +plu/IJrO811fPfUof/6IYXOfTlckV+cMYzpd6RF2xpghQyfyewtrCmfF7ISQ +Fm3wGhaU0WxwznFKkqWoKewpSWNK6/RiYrXHl8777kF785Xot4cPmfxlr3X9 +ftTBofugDUQOQlrwgQeve+HTtlMIeUXq7qN3yX+PK70W6sH73vQs4wh23P70 +FZ+vHhiedOnmKhrRnewrNebDA5U1SseU5dt9x64uJtlto0mJlFrBD34ju5d5 +HydPc+WfEqJtN1qernBWzKd03PzY941fWwznOUxJy7CoJK0pHU4tprx008Rp +cZW6RhDiKx+N9lp5x8jFftTBofv0uM/h5yZ5SaTP1K58s/EU7PH5+KTrXTUg +cXHpuQvCXn+BVcbyxkeYqq+L4IS9f+r+UlWd6O8f/fDpsqzy4TfI+4/k1mgc +kxYu9uankoXTNCW2GqVEPdaUsdAnRPecrcUbz82dsCQTtea2pZTgqJiEoqGm +GdP3J6zq0Lv/7lmUcJiSlmBRSQum6HAKMbHK+FfHreh6gwD7c+90v5g/MeP/ +7TcdHLpPN1y+N2mEpwJ5W++j/LyJ7BRNc+ZK778+8xcDzwzy7ZW3OpSPdvrx +TTeQOyPoMnzOxl37EuP/u3bb2acbhqrmuxd2B774rNe6tMJKGWO5SazROqZ8 +uNNv9pFas9VJAmu4ui/wxRd4u36vbq3M+s/454fw916ubbmXttL9b6OWpd6R +YG25MZ9tSEg+vm/T6ti8NuTZKW1KcFZMQnR1xaSR3sERMcdOpfyQVa3oni06 +TklaWFSSgSkanEHMTgc6yg5/9v+s+Pq7wwf3bN50rKz3b4P6UQeH7vMULt+b +Ou/LmwPCC5FeIrTiFB24KHfT+7t7v9Bo/ORrO2jWCOn1raHf3G7n0hIrYzgl +JihpiQEhJqdyUkurJKdc7b8RtzcdtyLnxCC9RG7NKV0oazMSki4/6Zmv6COI +tqRIA4o1ZW1m4r7shn78RUCuiAlKWmagiMmVnNRaVpIrrvbziNsXedm3oTFo +v8mz4pSnEFhLa9eSq1YjLUlbM/rZv7++N7NEYvP6A5o1XNEowvr9RIULYoKS +lhhYYnIhJ7XMlOSCq04QcXuiac7aGPUb0i6aFacAAAAAAAq4+Max48VIxZis +OAUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACvAxUWxn87l +j3WftORAmYy1V/ntZHZAMXBCw0GXnBhQG+gPKKpTjt2S4Fqs+nDg6BDWPtZo +J7MDij4MDSEtTc+upf8+i7I2O73UPr9DhGzpS6xNAADoUwiNXKMfb2R31vCX +X2er9LadzA4o+jQ0qrq0qPhiys+EEu3F8VFn6uz0sTbIlr7EqgQAnAxC3W9C +Lbu355OkStYnTnYyayP9KC7aPguNrGTH0mQB+d1HJUheuqOEpGKdfV0C7AlK +AgCOhJBXnFwz6xWX54a4+6868Yi8VrYWq885+fODDktDG4EJ8w5HBk99Lw+p +jhg5iqrTm8JDAsb9w23a8hSB7oPEuOROemp+M2k1e2qfqBtItJemHsltse7T +lLgoP3bVhvjkY/HrV8VdExl9GtEmswzcNsIBcSF3zKrQkIS4+yp9FxpF2dfv +RJeTVWBTlEfP+7oMpTYbFfZKQgb2jWCULcxMWYG64adFk8OKDLWBrEsYW66o +By0BAEcivx+39kBhI6ZqvXlg3vDBE/dUmH+VXv3kl8+XHmYwryOUTXXCG5Ge +IxBrXJKhFJzef7Gu0xlN4/lF//T4+FZHl79lCWFfXGpl3pMpG0goBFnpVxo7 +50t4h6BCijg24C0XPvR5+6cnnadpGs6+5RN2sQVnwaxlt41wSFyoHUMODUWI ++zw0opx3A8n0VVbsDnyPlV0gOyWhZftGMMwWJqasQS1MX+7v4rbI6E6BnDC2 +XhE1AQBHonpy+VKDISiy4tUeru/kSUz+pLOrh/mtKmJaClH5cAdy/WUycJXM +sAKlLN8+ffbBGsNDN9GWEzZ9Zb6E4XSOqoGqutRwbw/v8Z2M8wnY1rtKmmU0 +9Sl812nJj/XTPnXtYZ5rwI+6itAIZjWNGSsirlPIytm40DmGGBqqEPd5aGR3 +10x+I6PZ1G286dzsyWvvsrCix0IS9lW2MDBlDaq6n7Ym/BozxdP43oScMLZd +ETkBAM7QfmPZ2BmmhZa1GuGPQWMWFxgnNd5eenpLqH/Q5tj1YW9OcnP3W5la +0z0dQx4Daa11PvrfTPwwNMHoiZto+y1kzNysVrOhhNYOdQMpwIQ5ieGBMz9J +PhK7MTzIyzfseFHGwe0RC/w8Z67LFYkLFowc3t1txVeDX3JdXIS2l824mjMn +40LqmHWhMQ+xBdgOjfLRt1MmffXA9PqKsi98p0SjlQBlOQl76ONsscZVaoOq +2jNbksol1d/zet+bKBPGflckhSIBAI5AiHI/m70uT2yaJu1FizynfFfVO0GJ +1osBL7lH6GY86vq0D0a4zDrTYHhCph0D1ZL6JqVZIlJa04hvn9m5Itj7+UHu +yzKbnz6CKx586Ts+qsR8kknjFU0DKZGVfO45MvhcI64lmjOCXNyW/d6Ga9WC +JN6ot3OqLwUNHdk95EkLFgwfOusPtGcShqMNF+NC6Rh6aMhDbAl2Q6Oq3s/z +Cjd7TU5auHD0lP3ViHcRlpPwKX2cLZZcRUkYrCZly9EKhVZVY36noEwYhqBf +kQyKBAA4AS6+Fh15tJxk41P0x2tu007Wm4wa+orJCVX6h39pwUK3l7s3C2jG +QJXgEG/wiAUFZrlCbU0HIS3a4DUsqPuZG6uMm+y5hGwqTGOHuoGUyEs3jnHv +uo60YP6osdvud06siKbzfNdXTz3Knz9i2Nynk3PJ1TnDmD43qYVnP3orSMeM +MUOGTuTr/zlndT75GMDZuJA7ZlVotOYhtgS7oVELDk31eP+aafMleSGjeP8T +9N6t7wmfEb3Cx2oSOipb6F1FSZjWyhNbTlTpnmbI7hSUCWNZZyuvSAZFAiC4 +AdgJQl7x/7d35nFNnNv/r3/1Vb1tXUpFuFwvCMUFQY1WalhabW9RrLZUvy4F +fy9bWy8qKu5Fu2mtC7JVrH4BxQVQUV7XK9+iWIuKIODGrihlSWQRWbKwJJNk +Jj8SIGSZmcwkE5Lgef/lK5Iz5/mcc5555pnJnJQDx4vxf18ovBPgxPqtVmv1 +qJ4SHQ+/ecdNdUVMtj6X8Qqv3arVzXdiaz103P/K/aPfW3q/J67Y7T5hXRHO +fQAiO6QDJIRkAkzick572qluajxLnGHPTm6gd1NX/0rYYuNC6Bj90PShGWJ9 +MBsaSU0sy1n3/CXM+9yJdVRbYb0wm4R9DGi26HWVesIUl4a/7zHZQ8lEh6Gv +Dndx/2BDkWpZQpwwFKF9RDwIEgAwN8izy1Fxd/nKR5lQftmlKw0aD6wgVRGs +SSHa2aNIicmH/lL8ZXdgvbz2PenbqhY/2UP7njueNUzUWNuMKLMfqT628N/9 +Gz7C/GWu7BS86QbfKz0DJER7AtypNgHWIy/Sl7j5K3aV5GjTpfmTl2c0o3ot +aqBvtrHQuJA6Ri80xCHWB7OhQSoPsty36TyJ0FUS6jY9soru41vMJmEfA5gt +RrhKnH5yxXMpCe+6aF3FECeMqY6IB0ECAGZF1pwR7PrakFd6GTLUPfwvrUwU +P93ryda+I9qdEja287btj4mN+nHDrgt9N1ElzcVXDviMHOayOTW/qpPyZI1j +DePdXj3FztUvJPxEctLpzBqRao0mfrLXc04CF++HETh2KAwQFwxpvB3jM3I4 +a/+fNa1VmT9Men0E+9ANbktparDjG2NXphQKkLbs8DVboxNPxmxfF5HTRru8 +SGcbi40LqWP0QkMcYnIYD01X6ZapvucbtWWRNST7sJRnPVowmITqzgxQthjn +KkH69YBzpiBJGBMdEReCBAAsHpSXvf2zA5qrCvVLaeOhYQ0T3t0ZsOch/jtG +mPXK0rGouMitODSCnEWzduCsmrvKdngH5VN9SL8PCx2p6bOFtkHShDHJEQkg +SgDAChBz06PjbjzvX3UpU4L+fgcBlK2JuRmxMdcaiW4BMOuVFWApcZFbc2iQ +ykj/TQ/wbkh0PAidF07vIXJLHqmJs4WmQT0JY4IjEkGcAIBVgCEtrT33BuQy +YUnq+nHD3vrwUEaJwOhfddOwhoqaeAjRKotZr6wGS4iL3JpDg1QdXbq/HH/R +3FX+S0B4BY2Tk0WPVG7CbKFtkDRhTHJEIsgSAAAAwCygrbd2hV0jfAhD1py5 +bdMfdB9zAawHPQkAAAAw8GDtpcmn7vPJTj0o/96Jk0Wm6d8EmBsKCQAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABYCCi/IOKb+ewJjlOWHynvhAd8 +TY7k2ell7/9C52eoACEgJmA1iLnX0srgNxSUEdUknXggQOVITbzPOP+eV2Bi +wrK0a1zyegedDQLrfHL20F72zN0wnRoPiAlYDVh7UdSm83VGvljqpQKTdcmU +Z5jOwvXsVX0NKyV1qZuiighfHQk6GwbKKziR/Kj+5gI2TKdGA2IC1oOEk7ji +5xLDu2tRBJMOwsuFztKDX8dV9dd4Z8nPKxI5+GefAdJZL1YWCEnDlYT/q0Pk +/GxLnE5BTAAwFaKKfQt+KtdsEoN1VZ5ZP/sdm7+NcPRae+opQQ9npD7rzH8e +d+grTgxpyIkP9Zv+aQ6tvnL4tnAdQwWFaSm5zUZ0YaF7xJ7/ai9LSchu0XgT +lqj8p0/2VeC13MHT2ZijqzFYAoHyciPWbo1KPBG1ZW3kHZ7yRS7iyshFnyxY +uHChv/eYURP8ViXUGvzKZ4sVsw9p48WlUwP72v1YtpgAYGrElQd8PtXqGdb1 +KHLDkfwmRNJ6/8gC2zc9DlbqprD0+X83roiv0r/0wsQv6hruhTqPodnzFA9i +x7rKowO/vd7K+BsTCY+IiTiZabeaui+R0A5OpVB1YF7WQh88vfB0Nvzoagya +QKAtV75wm3vxefdXZY0XPnYLvNqi/poxQc4i7z3GLPUtVsy+YzekrfKycVBv +RWe5YgKAqUFfXJozdUOxxk6T5PmN6429ddtZtM7J/pMcgfbXWq4Eeq7V39Cx +F/GTn2n348aBzDGsLStwZnCugNktFqIjSupSglydXCd1M9HNe5daW7DO4vVT +P0pv1nYDT2eDj65ud9AEQlafxLafkfhMeZ0g5caz7L3PqvfKpjCdyprSV4fc +JdDCYsXsda/u4s7o38OnOWu0SbVUMQHA5IjKv3Wfto+4fVn7vZUT3tNupSyX +NZz1Hb8sTz1x0fayc2EBXr47IrYE/muKg6NncEp/f2LaVUxqDd8xrO0P//Hz +M1sNPDkZcERcxE9/mTbl+8fae3f6dNbLIAgE0pAVG+Qz6+vEhIhtQb4u7oEn +C9KP7g5Z7Ok8a3M2j5+32M5Wdb7g3/Z7235ZQTtlRxWQ9g0n9bnn6+YTU8I9 +HxZXIaj5jaV5brIGMQHAJAjzl4ybdriGYMLFeNlr5mzO4WtXRnvBUudpv1Zr +fgtrver9tmOIYpEnrU/9fIzN7PONvUs10iqWCupfiHVqj8QagWOix9+5T9pU +YnCPLvpHxENSc5jlEnRXex4g11m/b4MjEJ0lG53t/C41oXKsOd3XxmHln22o +XMqJY42dm1Vz3XeUnWoCFeYtth01+ya9axKK06nFiYnUJoUdrxTJJbU65yaL +FxMATIQgx38s6385uDdcUf6dfaHHK3DuGfNufuAw40y91j64sj1xdLVy30SY +t8Thn1/19RkmqWIJ5xjrzTGL83Q2D4itETiGVEVOdV6OszqUNlz48mNfLeat +y9WenGgfEQ8p59h0p8/uaA8HV2eqjg2WQMi7yraNd+z5H2HeorETdj3qvr7E +Xlxm27+b/DR30ZjR8/uW+oLb80ZTXer3y/je+BGjPNhEMpL5rMBMYrZWnQo7 +Va24fsI7N1m2mABgMoR5nzuxjtbqruexrsqUA8eL8X8nKrwT4MT6Tftb6nXX +8fCbd9xUW1tkK0wZr/DarVrdqYLIGqFj4ord7hPWFRn+kDbtI+IhqYllOevO +A4Q662UwBYJkOk3ick572qlukTxLnGHPTm6g9xSA/qW+BYpZXBr+vsdkDyUT +HYa+OtzF/YMNRX1nf0sWEwBMSVdJqNv0yCrtJ5aQZ5ej4u72tGNE+WWXrjRo +/AVSFcGaFKJdMIq6m3zoL8Vfds/QXl77nvRtzYuf7KF91xjfGoljwvxlruwU +mhVo1BHxQCoPsty3lWnvwRDorJfBFQjt6XSn2nRaj7xIX+Lmr9ijkqNNl+ZP +Xp5BtxW5vunUYsXsRcpNeNdF67rJYsUEANMia0j2YSmzWu2z5oxg19eGvNLL +kKHu4X9pTarip3s92do3k7vrzsZ23rb9MbFRP27YdaHvprGkufjKAZ+Rw1w2 +p+ZXdVKuEBxrpI6Jn+z1nJPANeJHTnSPiEtX6ZapvucbtYeJp7NeBlcgMKTx +dozPyOGs/X/WtFZl/jDp9RHsQze4LaWpwY5vjF2ZUihA2rLD12yNTjwZs31d +RE4b7VUG6XRqsWL2g3NuslAxAcD0dJXt8A7Kp/2oKMrL3v7ZAc3LA/X9CuOh +Zw0T3t0ZsOch4fuCmD8iAYKcRbN26Fw2GayzXgZjIMwGiAkAlkPHg9B54YY8 +3CzmpkfH3Xjev8pU1p0B+1b40LEm5mbExlxrNPJNdUz4j1RG+m9SPSugjsE6 +62XQBcKcgJgAYCl0lf8SEG7Yb8QxpKUV6VnUyYQlqevHDXvrw0MZJQKjX89A +zxoqauIhRq4tmfEfqTq6dH85/mPsRuisl0EUCPMDYgKAZSBrzty26Q+690oB +HdDWW7vCrjUTzTqgMwAAAB1Q/r0TJ4ugr5BRYO2lyafu88lOPaAzAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAS4Lk2ell7/8CjbAZAcQ0BpRf +EPHNfPYExynLj5R3MvaTBhOZBQDAdGCdT84e2sueuRumU+MBMY1DVJN04oEA +lSM18T7j/Bl7n6uJzAIAYDJQXsGJ5Ef1NxewYTo1GhDTWDBZl0x5VdNZuJ69 +SqdHs4WZBQDAREgariT8Xx0i52fDdGo0li0mJrWmnazO0oNfx1UxrqGJzAIA +s2BdlWfWz37H5m8jHL3WnnpK0NUcqc8685/HHeSFTc0UHUTV57YH+XtP/LvD +jFVJHMXLoVFBYVpKbrOhXaBQXm7E2q1RiSeitqyNvMNTvr9IXBm56JMFCxcu +9PceM2qC36qEWoPfac2gmDhjZwBp48WlUwP7OhC9PGLKMaQhJz7Ub/qnObRa +DZLCgJgkY8Tay1ISslsMe4EtXmgYMAsAA0fXo8gNR/KbEEnr/SMLbN/0OFip +O5dIn/9344p4vQstKqZoIeacO3y1ewkulzVdXvoPp696W1t0lUcHfnu91YDq +QluufOE29+Lz7q/KGi987BZ4tUX97XqCnEXee4xZ6jMoJsHYjUPakLbKy8ZB +vTveSyFm94wsflHXcC/UeQzNNrgkMCEm4RgxEScz7VaTpFvmDk6lkGZ4CENj +nFkAGEAkz29cb+yth86idU72n+QItP6kO9EDPdcW6O26R8EUTVBJZ+8WjLhi +98w5R2t7O+VgbVmBM4NzBXSvy2T1SWz7GYnPlEtbKTeeZe99Vr2ZtrHTKYNi +Eo7dCCR1F3dG/x4+zVmjc6sZxZQ1pa8OuUugBZNi9iB+8jPtFu2EMCIm0Rgl +dSlBrk6uk7qZ6Oa9C6cTJilEoTHSLACYi/Z7Kye8p93xWi5rOOs7flme+gSA +tpedCwvw8t0RsSXwX1McHD2DUzR7VxOYIoTcICq4H/tFQHRFf790rO0P//Hz +M1t1pgCkISs2yGfW14kJEduCfF3cA08WpB/dHbLY03nW5mweP2+xna1qiuPf +9nvbflmBie4IMySm7tjJIbYm4Z4Pi6sQ1PzG0pxOzSgm5a7izIhJ+9zEoJgM +l4zl5DkAmByMl71mzuYcvnZVtRcsdZ72a7VmzWCtV73fdgxRLBCl9amfj7GZ +fb5RpteUEqmg/oVY538IDcr4D8/vXe3n+vpQx5UZqs5LosffuU/aVIKz8Oss +2ehs53epCZVjzem+Ng4r/2xD5VJOHGvs3Kya676j7FRVKsxbbDtq9k3mbj+o +D4cRMfHHroKOkkhtUtjxSpFcUqsznZpPTIrnJqYyk/TcZHIxjSgZPCwjzwHA +5KD8O/tCj1fg3G/m3fzAYcaZeq2ZUdm6OrpauR8hzFvi8M/+GyLEprqRcI6x +3hyzOE9nH4bEYDeYsGCry2jf9OZeo0hV5FTn5Xhrwa6ybeMde/5HmLdo7IRd +j7ovObAXl9n27yY/zV00ZvT8vvWk4Pa80VTXk9KGC19+7KvFvHW5+HMJg2Li +jL0XOkq2Vp0KO1WtWKfjTafmE/O98SNGebAHSkySc9NAiGloyeBjCXkOAKYG +66pMOXC8GL+lnvBOgBPrN+3bHeqF1vHwm3fcvn8s0mtKgYxXeO1WrW4VEhns +o+P+V+4f/d7S+z1xxW73CeuKOnXtk9RsEpdz2tNOtQ//LHGGPTu5gen7wQyK +2Yfm2PugrmRxafj7HpM9lEx0GPrqcBf3DzYUqU5/ZhNT/3UTo2KSXTcNgJgG +lwwuZs9zADA5yLPLUXF3e9rBovyyS1caNJ6HQqoiWJNCtItNUWiTD/2l+EtJ +TayX174nYv2myMAziIkaa5sRZc0i1ccW/rt/X0uYv8yVnYJXb9o1u1OtZuuR +F+lL3PwVGyFytOnS/MnLM5huwM6YmMRj1wd+aHqRchPeddFa6ptNTH3nJgYz +U4H4yR7az0IwKCazJWPmPAcAUyNrzgh2fW3IK70MGeoe/pdWcYif7vVka9+k +7S40G9t52/bHxEb9uGHXBcV9XQqmSMAxiPFur55i5+oXEn4iOel0Zo1ItbIU +P9nrOSeBq/NTEgxpvB3jM3I4a/+fNa1VmT9Men0E+9ANbktparDjG2NXphQK +kLbs8DVboxNPxmxfF5HTxuxikkExiceuFxxr/eBMp+YTk/TcxKCYCiTNxVcO ++Iwc5rI5Nb+qk/JMzZSY+KYMLRkz5zkAWAgoL3v7Zwc0nzhV36BgBBoGMeHd +nQF7HrZb5R646cWkZw3EJIVBMRkvGQAA5GJuenTcjef9K1RloUVWMXxuomJQ +zM2IjbnWaPzPfcyGicWkYw3E1AODYjJeMgAAKMCQltae+x9ymbAkdf24YW99 +eCijRMDEdgENg6ioiYdY5SJfHZOJSc8aiEkKg2IyXjIAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAMChA+QUR38xnT3CcsvxIeafVP8RgFkykIYTGeCA0AGCdiGqS +TjwQoHKkJt5nnD+VF3gD2phIQwiN8UBoAMBKwWRdMuWyr7NwPXvVXeh6YAAm +0hBCYzwQGsDEYFK4bDYtnaUHv46j0Ox1YLGuuJtIQwiN8bxUoQHIENWk7f0+ +Iu74b/s2rtyRVofzs3akPuvMfx536MtvDGnIiQ/1m/5pDnO9YqSNF5dODex7 +ZRkqKExLyW3Ge1sZHVexrsoz62e/Y/O3EY5ea089pdOagABR9bntQf7eE//u +MGNVEgeh5CopKC83Yu3WqMQTUVvWRt7hqb3/DWsvS0nIbjHu95vUFDBD3PEd +M0xM3aCojmKMhi9raPqgW5J4WGdogIFFVp88h7W1VPFKMqzt+ice/++e1kWv +9Pl/N66Ip7DewMQv6hruhTqPYarttaKdTNoqLxsH9ddpdpVHB357vRU3ySi6 +2vUocsOR/CZE0nr/yALbNz0OVhr5Hhkx59zhq3WIosn45aX/cOrry0PmKjlo +y5Uv3OZefN79VVnjhY/dAq+29NQZJuJkpt1q6l4/oB2cSqGhpUZFAbPEndgx +2mISBMVYDV/a0PQdm15J4mKloQEGGCk3fob9rMOV3YkurTv5/rvfPdJoHdQd +70DPtQU6PdcIoN32mgxJ3cWd0b+HT9Ns34a1ZQXODFa0D9WCqquS5zeuN/YW +fGfROid7VfdqQ0Elnb2bJuKK3TPnHO1rKUToqh5k9Ulse1X/HW48y977rKLr +gqQuJcjVyXVSNxPdvHeV4XSqpQQFBcwTdzLH6IpJEBQjNWQgNLKm9NUhdwmU +tdjQ9LpHryQJsM7QAAMO2nYj1GPU2IU/HN0buv3UI81nLGUNZ33HL9NoB4q2 +l50LC/Dy3RGxJfBfUxwcPYNT+jsH0C4EYmsS7vmwuApBjU5rUaztD//x8zNb +tVvt0XRVSfu9lRPe0+6yYIi3yv8V3I/9IiC6ov/kTuCqXI40ZMUG+cz6OjEh +YluQr4t74MmC9KO7QxZ7Os/anM3j5y22s1VNSvzbfm9T7VtKH3wFzBh3QseI +xKQbFD2YPDQUO9FbYGjoluTgDQ0wUHSV7fceP3yojU/Y1SbNjeP2gqXO036t +1iwPrPWq99uOIYp1krQ+9fMxNrPPN/ZeJ5MWglRQ/0KsM03jW0Nqk8KOV4pw +216LHn/nPmlTidb6h66riv/lZa+ZszkHv+E0HW+7kfEfnt+72s/19aGOK/v7 +AOK7qqCzZKOznZ+i/RvWnO5r47DyzzZULuXEscbOzaq57jvKTlVXwrzFtqNm +32TuhoH6cAgUMFvcyRwjFJNmUPRh4tBQnAAtLjT0S5LMMWsODTBAINyTKxb8 ++ri9+da+ubYjpn5XrN5HlHfzA4cZZ+q1Uke9E40wb4nDP1U7xiSFIOEcY705 +ZnGezhUzjrXWqlNhp6oVKyy8QkCqIqc6L9deEtF1VY7y7+wLPV6Bf7OZjrcd +/f+LCQu2uoz2TW/GyFxVQNJTO/lp7qIxo+f3rQAFt+eNproClDZc+PJjXy3m +rcvFP/0SK2CmuJOHhlhMekHRh6lD8974EaM82FYWGkNKktwxBdYYGmCg6Crb +7jGjp6sMxr/15TiX4EK1k5PwToAT67darW0F9XzrePjNO27fP+69LidbpMl4 +hddu1epWm6614tLw9z0meyiZ6DD01eEu7h9sKFKltLhit/uEddq9uOm5inVV +phw4XiwkzD7q3j7W2JPouP+V+0e/t2BkriogqbIkLue0p51q5/xZ4gx7djJe +l2+jIFXAPHHXExpiMekFRR8mDo3+xbkFhsagkiR3rAcrCw0wgCBVUe9OXN2z +CkL+OjTTU6MrNFIVwZoUop1zinybfEj5d5KaWC+vfU/6NpHFT/bQvvFKbE2O +2/ZaLsxf5spO0U47Oq4izy5Hxd3lK5/iQflll640UH5SD88gJmqsbe5p3YNU +H1v47/49CnxXFWhX2U61KqtHXqQvcfNXbF3I0aZL8ycvz2im3EWcGnoUMF/c +SRwjFpNeUPRh4tDomwAtNjS9UC9JIlNWGxpgYME6yuPX/M/qn36NP3pwx/YT +5Zq/mRA/3evJ1r4f251vNrbztu2PiY36ccOuC323NyXNxVcO+Iwc5rI5Nb+q +k3JaEFjrAacQxE/2es5J4Or8ooKqq7LmjGDX14a80suQoe4ap2P63mK826un +2Ln6hYSfSE46nVkjUilI5CqGNN6O8Rk5nLX/z5rWqswfJr0+gn3oBrelNDXY +8Y2xK1MKBUhbdviardGJJ2O2r4vIaWP2oomCAuaJO6ljRGLimyIOCjmmDw3p +BGixoemHRknim7LS0ACWBsrL3v7ZAc0HL9Wv042HnjVMeHdnwJ6H7Tj5bHpX +6RkkcdXysaK4myDKFg2EBgB6EHPTo+NuPO9fqCnzreceFQPQsSbmZsTGXGsk +fObbxK7SMajPVcvHeuLOeJQtHQgNAPSAIS2tPRvEcpmwJHX9uGFvfXgoo0Rg +9F4TPWuoqImH6LkMMZmr9AxScdXysYa4Mx5l6wBCAwAAAAAAAAAAAAAAAAAA +AAAAAAAAAAwGUH5BxDfz2RMcpyw/Ut5pQU9aWKxjAwYoYDwm0hBCAwAmRlST +dOKBAJUjNfE+4/wt6DeCFuvYgAEKGI+JNITQAICpwWRdMuWyr7NwPXvVXRN1 +zTAAi3VswAAFjMdEGkJogD4wKVw2m5bO0oNfx1FoezrgWKxjA4ZlKmBdJWki +DS0zNAAZopq0vd9HxB3/bd/GlTvS6nB+4I3UZ535z+MOffmNIQ058aF+0z/N +Mb7XENZVeWb97Hds/jbC0Wvtqae9r0pGBYVpKbnNeO/touWqqPrc9iB/74l/ +d5ixKonD0G/WpY0Xl04N7HvPmH5XSUF5uRFrt0YlnojasjbyDk/tTWhYe1lK +QnaLcb9kxJfXuC/qcwxCQwlqobGikiRBMy49RzFGQxOHBhhYZPXJc1hbSxUv +58Larn/i8f/uaV30Sp//d+OKeArrDUz8oq7hXqjzGAYaQHc9itxwJL8JkbTe +P7LA9k2Pg5V9s1RXeXTgt9dbcZOMoqtizrnDV+sQRQvmy0v/4aTRUMZgpA1p +q7xsHNTfgUnmKjloy5Uv3OZefN79VVnjhY/dAq+29NQZJuJkpt1q6l4/oB2c +SqGhpUYsr6Ff1OcYhIYiVEJjRSVJhm5cjNPQ1KEBBhgpN36G/azDld2JLq07 ++f673z3SaK/SHe9Az7UFOt3HCKDdABofyfMb1xt7U7+zaJ2TvarVsuIMmhU4 +M1jRSFMLyq6iks7ePQ5xxe6Zc45q98IxxOG6izujfw+fptlzjdBVPcjqk9j2 +qk403HiWvfdZRf8BSV1KkKuT66RuJrp57yrDaadLzVsSeQ36oj7HIDSUvdUf +GisqSVKDOnExUkMGQiNrSl8dcpeqsoCpQdtuhHqMGrvwh6N7Q7efeqT5jKWs +4azv+GUajTHR9rJzYQFevjsitgT+a4qDo2dwSv879GkXAqk1Je33Vk54T70l +ANb2h//4+ZmtWpVA11U5Krgf+0VAdIVITg1iaxLu+bC4CkGNTj9QAlflcqQh +KzbIZ9bXiQkR24J8XdwDTxakH90dstjTedbmbB4/b7Gdrar2+bf93qbawZM+ +OvLqG6yeL+IBoTEIfIWtqCQNiQsZJg8N9MiwOLrK9nuPHz7UxifsapPmxnF7 +wVLnab9Wa5YH1nrV+23HEMU6SVqf+vkYm9nnG3uvk0kLQSqofyHWmQtIrCn+ +l5e9Zs7mHI3uyKLH37lP2lSitf6h56qM//D83tV+rq8PdVyJ09qMjqtIbVLY +8UoRbq9qfFcVdJZsdLbzUzRCw5rTfW0cVv7ZhsqlnDjW2LlZNdd9R9mp6kqY +t9h21Oybxt8wwAFPXtLBUviiLhAaAyBS2IpKktAUWVxIMXFo4NxkWSDckysW +/Pq4vfnWvrm2I6Z+V6zeUZN38wOHGWfqtSYI9Z4swrwlDv9U3RcgKQQJ5xjr +zTGL83QSkdiaHOXf2Rd6vELrfjBSFTnVebn2koiuqwowYcFWl9G+6c2aB6Dj +amvVqbBT1YrFIF6h4buqgKS7dPLT3EVjRs/vWwEKbs8bTXUFKG248OXHvlrM +W5eLfw7Bl5dksORxIQRCI2cuNFZUkgSmyONCiqlD8974EaM82OShAQaKrrLt +HjN6+qtg/FtfjnMJLlQ7OQnvBDixftPe9VfPt46H37zj9v3j3t0XskWajFd4 +7VatbrURWcO6KlMOHC8W6nxBXLHbfcI67a7UdF3toeP+V+4f/d6ivT9I2dXi +0vD3PSZ7KJnoMPTV4S7uH2woUs2x+K4qIKmyJC7ntKedauf8WeIMe3YyXr9r +oyCUl3iweuJCCISGHqQKW1FJ4pvSExdSTBwauG6yKJCqqHcnru5ZuiB/HZrp +qdEDGqmKYE0K0c45Rb5NPqT8O0lNrJfXvid9+9HiJ3to33jFt4Y8uxwVd5ev +fNAG5ZddutKgckuYv8yVnaKddtRdxUSNtc09PWeQ6mML/42zcUTL1V5welUT +uKpAu8p2qlVZPfIifYmbv2LrQo42XZo/eXlGM+V+2tQgkZd8sBS+qHswCA0N +9ChsRSVJ7pgcPy6kmDg0cG6yLLCO8vg1/7P6p1/jjx7csf1EueZvJsRP93qy +te/Hduebje28bftjYqN+3LDrQt+dUklz8ZUDPiOHuWxOza/qpJwWONZkzRnB +rq8NeaWXIUPd1c6Y4id7PeckcHV+UUHVVYx3e/UUO1e/kPATyUmnM2tE1C8A +CAbeA06hEbmKIY23Y3xGDmft/7OmtSrzh0mvj2AfusFtKU0Ndnxj7MqUQgHS +lh2+Zmt04smY7esictqYXZmTyks2WGpf1AVCQxUKCltRSRI71gO9c5PpQwPn +JqsC5WVv/+yA5oOX6tfpxkPPGia8uzNgz8N2nFnLily1BpiUDkLDIFYlJrOO +AYAGYm56dNyN5/0LNWW+9dyjYgA61sTcjNiYa42EDy5bkasWD7PSQWiYxHrE +ZDiLAEALDGlp7bkNIJcJS1LXjxv21oeHMkoERm9o0LOGipp4iJ61rhW5asEw +K10vEBoGsQYxTZJFAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABYEyi/IOKb ++ewJjlOWHynvZOzJLROZfalgVkOIiPFARABgoBDVJJ14IEDlSE28zzh/xn4O +biKzLxXMaggRMR7TRwQTlqVd40LPdACQY7IumXLF1lm4nr3qLlNdeExk9qWC +WQ0hIsYzEBGR1KVuiiqyzpd1AIAJ6Cw9+HUchQ7XlmHWSDCpNZU+sxpCRIzH +tBHpLPl5RSKlfpXASwDWVXlm/ex3bP42wtFr7amnBD15kPqsM/953EFeRdRM +0UFUfW57kL/3xL87zFiVxFG8+AQVFKal5DbjvVZSP9LGi0unBmr2P20vS0nI +bjHsR+soLzdi7daoxBNRW9ZG3uGpvUvTKLMqI8yFRvEegYac+FC/6Z/mMNcK +T1NPg0JDMkZDNNRNGGOs0fFWDTNEBN8xw4rFJBpSLD1R+U+f7KPc7xgY1HQ9 +itxwJL8JkbTeP7LA9k2Pg5W6r76SPv/vxhXxehdLVEzRQsw5d/hqXbcRWdPl +pf9w6mtw1lUeHfjt9VbaFSJtSFvlZeOg9t5jTMTJTLvV1L1OQzs4lUKaFtGW +K1+4zb34vPtrssYLH7sFXm1BGTCrgsHQdPskflHXcC/UeQzNdgkk6OpJPzSE +YzRIQ4KEGfwRIXaMdkRMoiH10uNlLfQxeuIABgOS5zeuN/ZmQmfROif7T/oa +R6ronoIDPdfqf5E9BVM0QSWdvfsd4ordM+cc7WuohrVlBc4MVvR5poGk7uLO +6N/Dp/X32ZTUpQS5OrlO6maim/euMpz23GTI6pPY9qpeZtx4lr33WUUHGxpm +ZU3pq0PuEijLYGh6IW3PTRddPRXQDA3RGA0MDUHCGBlovd6qe2CWiJA5RrdY +TKAhndLrLF4/9SPtbseakFYNMChpv7dywnvajWHksoazvuOXafRtRtvLzoUF +ePnuiNgS+K8pDo6ewSmafVkITBFCbhAV3I/9IiBa7Uofa/vDf/z8zFbtDCa2 +I+GeD4urENTQ6gGNNGTFBvnM+joxIWJbkK+Le+DJgvSju0MWezrP2pzN4+ct +trNVTQL8235vU+0BrYJyvxhmQkN7JjRAT/qhIR8jXceU/6uTMMxjcREhdMyw +iNDVkKnSEz/9ZdoUrQ7IWkCXpZcNjJe9Zs7mHL52CrcXLHWe9mu1ZhFirVe9 +33YMUazGpPWpn4+xmX2+UabXlBKpoP6FWOd/CA3K+A/P713t5/r6UMeV/V1Q +RY+/c5+0qUR38YZvB6lNCjteKZJLammdmxT3Zjc62/kpWmlizem+Ng4r/2xD +5VJOHGvs3Kya676j7FRnI2HeYttRs2/SWwFTrDKmQkM6E9KJC5meNEOjb4xE +0EwYhrG4iJA5Rj8iBmnITOlJag6zXIJInwOEc9PLBcq/sy/0eAXOzV3ezQ8c +Zpyp10pQ9ZZhwrwlDv/s35cmNtWNhHOM9eaYxXk6OUpiUK747UPBVpfRvqpr +faQqcqrzcryrFBw7rVWnwk5VKxZxtM9N2j2gd/X3gE5+mrtozOj5fddNgtvz +RlO9bpI2XPjyY18F740fMcqDrfznvHW5+BMzc6EhmQnpxIVcT1qhoZQz+NBL +GD30R0QN64kIuYwGRUROW0NmSk/KOTbd6bM7OH9Hr2qAwQHWVZly4HixEDfI +wjsBTqzfarU2L9TzsOPhN++49V6Gk5pSIOMVXrtVq1vWRAb76Lj/lftHv7f0 +fk9csdt9wrqiTl37unaKS8Pf95jsoWSiw9BXh7u4f7ChqEP3qziQnJuSuJzT +nnaq+03PEmfYs5Mb6K3T9a8AGQwN+Sqdelz06EknNBRzBhd6CcMcFhgRPTLS +j0gf9DRkpPQkNbEsZ/I1Hlw3vTQgzy5Hxd3lKx8xQ/lll640aDwlg1RFsCaF +aGe2Ig8nH/pL8Zfd2eTlte+JWL8pMvAMYqLG2uaexmVI9bGF/+7fXhDmL3Nl +p+CdCfAd60XKTXjXxZjrpp1q56Z65EX6Ejd/xYafHG26NH/y8oxmVK9FDfRV +GYOhUSB+sof2nXfaetINjaE5Qy9hmMJiI0LiGL2IGK4hI6WHVB5kuW8jfdQC +zk0vB7LmjGDX14a80suQoe7hf2nNDeKnez3Z2nd9u/PQxnbetv0xsVE/bth1 +QXHbk4IpEnAMYrzbq6fYufqFhJ9ITjqdWSNSrd/ET/Z6zkng4v1uA8dOP/TO +TRjSeDvGZ+Rw1v4/a1qrMn+Y9PoI9qEb3JbS1GDHN8auTCkUIG3Z4Wu2Riee +jNm+LiKnjfZESFplDIZGgaS5+MoBn5HDXDan5ld1Uj6J0tWTXmiMyBlaCcMM +FhsRUsfoRcQIDRkpva7SLVN9zzeSqQHnJqAPlJe9/bMDmksZ9et3RqBhEBPe +3Rmw5yH+u00Yd8yiMX1o6FkbwNBYaKAhIsZZE+QsmrXD4Kf8gZcPMTc9Ou7G +8/7loDIPI6sYPjdRMSjmZsTGXGsketSYcccsHROHho61AQ2N5QYaImI4SGWk +/6YH1G4GA0APGNLS2rMNLZcJS1LXjxv21oeHMkoETOzo0zCIipp4CNE+A+OO +WQcmCw09awMYGksPNETEMJCqo0v3l8NVEwAAAGApoK23doVdM9Vv0gAAAACA +Llh7afKp+3yaj7oCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAApKD8 +gohv5rMnOE5ZfqS8c4DeLG+WgwJyUH6gAJ0ZBMS0PsTca2llNLsIaCGqSTrx +QIDKkZp4n3H+A/SuRLyDYsKytGtcMen3dMfLgAIvFcwpD5BhlrIarICY1gbW +XhS16Xwd1Q7nRFZkXTLllNNZuJ69irSzJHPgH1RSl7opqgj//ZNyvPEyo8BL +BUPKA3owS1kNVkBMK0PCSVzxcwlOazDD6Cw9+HVcFfnimXG0D9pZ8vOKRA7+ +HKg7XoYVIAKTDsLLBeOUNw/WGAizlNVgBcS0DkQV+xb8VC7S/4f9oLzciLVb +oxJPRG1ZG3mHp/YaEKy9LCUhu8UEr6zCuirPrJ/9js3fRjh6rT31VL1fJ95B +ReU/fbKvAm9UuuPFU4DkcGog9Vln/vO4Q99MhyENOfGhftM/zaHV5Q3fFq5j +qKAwLSW3Ga+JjomO2PNfRipv3NHVMEMg5KLqc9uD/L0n/t1hxqokjuL12EZG +wcRlxaSSumNnAGnjxaVTA/t6MFm2mMAAIK484PMprZ1XtOXKF25zLz7vDq6s +8cLHboFXW3oij4k4mWm3mrrXzGgHp1LIaPC7HkVuOJLfhEha7x9ZYPumx8HK +3oIgOigva6GP6o/U0B0vngKEh1ND+vy/G1fEU1h9YeIXdQ33Qp3H0OxAigex +Y13l0YHfXm9lvORMqLwxR1fDLIEQc84dvlrX7Yys6fLSfzh91dt4wfAomLqs +GFSSYOzGIW1IW+Vl46DeH9ByxQQGAPTFpTlTNxTT2GeR1Sex7WckPlMuaKTc +eJa991lFQ2ZJXUqQq5PrpG4munnvYrZ/l+T5jeuNvbXUWbTOyf6THIHyc8KD +dhavn/pRerP2+k93vHgKEB1O3VDLlUDPtZT7r4uf/Ey7OzYOZI5hbVmBM4Nz +BczuV5lQeSOOrm7XLIGQo5LO3p1BccXumXOO1vZuYxoaBQbKStaUvjrkLoEQ +TCpJNHYjkNRd3Bn9e/g0Z43etWYUEzA7ovJv3afte6qxUkIasmKDfGZ9nZgQ +sS3I18U98GRB+tHdIYs9nWdtzubx8xbb2aoSm3/b7237ZQXM3VVE28vOhQV4 ++e6I2BL4rykOjp7BKZrdl+Xt91ZOeE+7L7UO4qe/TJvy/WPtHSTd8eIpoP9w +soazvuOX5anXManntKdEA3TA2v7wHz8/s9XAk9OAK08TiwwEKrgf+0VAtNoe +JmEUTF5WlJuJM6MkztjJIbYm4Z4Pi6sQ1PzG0jw3mVFMwOwI85eMm3a4RitN +O0s2Otv5XWpC5Vhzuq+Nw8o/21C5lBPHGjs3q+a67yg7VaSFeYttR82+ycD2 +vQqs9ar3244hitWStD718zE2s8839l97Y7zsNXM25/D1TcCSmsMslyCdR3F0 +x4uvgL7DtRcsdZ72a7Xmt0g8J50SpYL6F2KdAdHXQfT4O/dJm0oMXg0OsPL0 +fLPAQMj4D8/vXe3n+vpQx5UZqr5AxFEwcVlRPDcxoyT+2FXQURKpTQo7XimS +S2p1zk3mExMwO4Ic/7Gs/+Vo3XHsKts23nG5MrbCvEVjJ+x61L02wl5cZtu/ +m/w0d9GY0fP71iSC2/NGU12TSBsufPmxrxbz1uVqV4my+XJ0tXIDQpi3xOGf +/RvaKP/OvtDjFQT3cTUOxjk23emzO9obFLrjxVdA3+F4Nz9wmHGmXqsmiT0n +mRIlnGOsN8csztPZS6GtA1IVOdV5OU4wLFN5Go5ZbCDkil91FWx1Ge2r2sUk +jILJy+q98SNGebCJNOyBOSXxxt4LHSVbq06FnapWXD/hnZvMJyZ5QgKmR5j3 +uRNLZ8OYJO5JXM5pTzvVXu6zxBn27OQGRu8pqidwx8Nv3nHr3SDCuipTDhwv +pvbDTUlNLMtZNyF1x4uvgL7DCe8EOLF+0/4Wkefky3UZr/DarVrd2YK2DuKK +3e4T1hUZ/pD2wCpPFYsNRB8d979y/+j3lt7vEUfBxGWl/7qJUSV70By7yhXK +ShaXhr/vMdlDyUSHoa8Od3H/YEOR6vRnNjEBs9NVEuo2PbJK65Ed7bjvVIt7 +PfIifYmbv+JiWo42XZo/eXlGM7PNJBUJPPnQXwqfuuc5L699TxSrKuTZ5ai4 +uz19K1F+2aUrDaSPriKVB1nu23TuduqOF18BfYdDqiJYk0K0awbfcwXiJ3to +34KnrYMwf5krO8WIIhxY5alhoYHARI21zYhy8kWqjy38d/++FnEUTFxW+s5N +jClJPHZ9EMdFrnhoIeFdF63rJrOJCZgdWUOyD0sZVhUY0ng7xmfkcNb+P2ta +qzJ/mPT6CPahG9yW0tRgxzfGrkwpFCBt2eFrtkYnnozZvi4ip43pBUl3AtvY +ztu2PyY26scNuy4o7pfKmjOCXV8b8kovQ4a6h/9FPst1lW6Z6nu+UTsjdceL +owCVw4mf7vVka99PxvFcgaS5+MoBn5HDXDan5ld1Ui4SujqIn+z1nJPANeJH +TgOrPAUsNhAY7/bqKXaufiHhJ5KTTmfWiFSXCERRMH1ZkZ6bGFSSeOx6IYhL +DzjnJvOJCZifrrId3kH5VJ/AHRDUL/wNRpCzaNYOnIdEdcdroAIoL3v7Zwc0 +j8CI5wZaw4R3dwbseUj4viDmj0gAdeWZwaICwUQUzIZFKSm3cjEB4+l4EDov +3IhHe5lHmcAG7P6og1RG+m/C/U2g7ngNVkDMTY+Ou/G8f6HJhOf90LEm5mbE +xlxrNPKHJgOtPFNYSiCYiYI5sRQl5YNBTMBYusp/CQivsJSTk0xYkrp+3LC3 +PjyUUSIw+EocqTq6dH85/sPUuuM1QgEMaWnt2XlnyPM+6FlDRU08xMjlpTmU +Zw5LCAQTUTA/lqCkfLCICRiHrDlz26Y/BtHNQrT11q6wa4Q3aHXHO+gUMBe0 +lQcAACAG5d87cbJokHTVwdpLk0/d55NNgLrjHVQKmAuDlAcAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAADARKL8g4pv57AmOU5YfKe9k7DlmE5l9 +eTCLgMweFHLAohgEGWVqs4AlIapJOvFAgMqRmnifcf5UGoSa0+zLg1kEZPag +eNYwYVnaNS4jb8EQc6+llcGPwigzCDLK1GYBiwKTdcmU9d1ZuJ69Sqcxq4WZ +fXkwi4DMHhTfmqQudVNUkbGvKsXai6I2na+D98pRZxBklKnNAhZJZ+nBr+Oq +GH+tm4nMGgkmtZrltlkEZPag2tY6S35ekcgx6rQi4SSu+LnE8H6RTGFFiaRi +EGSUqc0CZkLaeHHp1ECNjjBYe1lKQnaLYS+uRHm5EWu3RiWeiNqyNvIOT+3l +PEaZVRnpqjyzfvY7Nn8b4ei19tRTgv7nSH3Wmf887tA3U2BIQ058qN/0T3No +9dHDR1R9bnuQv/fEvzvMWJXEUbxGGhUUpqXkNhvWLIrpuJCj6zwDB6U4BFH5 +T5/sq6DXtEoDUcW+BT+V0zTw0iSSyUsSFxJ5LXl6ASwHaUPaKi8bB7VuZZiI +k5l2q6l7HYt2cCqFNEONtlz5wm3uxefdX5M1XvjYLfBqC8qAWRVdjyI3HMlv +QiSt948ssH3T42Clbi8B6fP/blwRT2H5hIlf1DXcC3UeQ7PHKx5izrnDV+u6 +nZE1XV76D6evejtgdJVHB357vZX2cJmOCzkEzht3UOpD4GUt9MELJFXvKw/4 +fEr3JsPLkkimL0lcCOW17OkFsBgkdRd3Rv8ePs1ZNYFI6lKCXJ1cJ3Uz0c17 +F077O1Jk9Uls+xmJz5QrPCk3nmXvfVbRLJqGWVlT+uqQuwTt9STPb1xv7M3y +zqJ1Tvaf5Ai0/qQ7fQM91xZQ7c8nfvIz7f7jeKCSzt4NHXHF7plzjtb2blJh +bVmBM4NzBbQ2exiPi2HOG3NQOkPoLF4/9aP0ZgP3w9AXl+ZM3VBMb0fvJUkk +OSMlSR8ieS18egEGFrS97FxYgJfvjogtgf+a4uDoGZzS2+ZZwj0fFlchqPmN +5byUcgkiDVmxQT6zvk5MiNgW5OviHniyIP3o7pDFns6zNmfz+HmL7WxVZc6/ +7fe2/bICercmSbtmq9N+b+WE97TbY8tlDWd9xy/LUx8OsQJyA6YUUmtyVHA/ +9ouAaLUdKqztD//x8zNbtecUhuNiGucNtUZvCOKnv0yb8v1jA3f1ROXfuk/b +Z0Q/RitPJNOXpOGjUIAvLwGWM70AAwHWetX7bccQxZJLWp/6+Rib2ecbZXKk +NinseKVILqmlOQd2lmx0tvO71ITKseZ0XxuHlX+2oXIpJ441dm5WzXXfUXaq +dBHmLbYdNfsmvaUkxeTBeNlr5mzO4WtXanvBUudpv1ZrVgK+AkpIpxSpoP6F +WGcuILQm4z88v3e1n+vrQx1XZqgaNIkef+c+aVOJ7lqO4bhQg6bzBlmjOwRJ +zWGWS5Chj1cJ85eMm3a4xtCHKQZBIpm6JMkh0UROLC8hljG9AAOEsstzdLXy +GluYt8Thn189aK06FXaqWrHAoT0HdpVtG++4XJkgwrxFYyfsetS9tsNeXGbb +v5v8NHfRmNHz+xY2gtvzRlNd2EgbLnz5sa+C98aPGOXBVv5z3rpc/KRG+Xf2 +hR6vwLmBzbv5gcOMM/VacyuOAr23VEimFAnnGOvNMYvzdKQhtqYAExZsdRnt +q9qjQqoipzovx1OB0bj0C6gGjoD0nNcHI0OQco5Nd/rsDs7fURmUIMd/LOt/ +OVLaX1QwOBLJ1CVpcEYRy0uIJUwvwIChnjwdD795x+374tLw9z0meyiZ6DD0 +1eEu7h9sKOrQZ0gJSfIkcTmnPe1UG8LPEmfYs5Mb6N2Y1L+wwboqUw4cL8b/ +naXwToAT67darVW0rgJ9O0hky10Zr/DarVrdwiK21kPH/a/cP/q9pfd74ord +7hPWFeHcD2E2LhSh5zx9awYMQVITy3I2eKNJmPe5E+uodsSpMGgSycQlqQei +UZDKS4jZpxdgIFEkz+RDfymSp3sa8PLa90RtR1jKTXjXxZjrpp1qyVOPvEhf +4uavuCKXo02X5k9enkG3u7i+5EGeXY6Ku9vTOBbll1260qDxgBVSFcGaFKJd +wMQKiJ/soX0LG88aJmqsbUaUZYhUH1v47/6tGGH+Mld2Cl4JMRsXkzhviDXa +Q0AqD7Lctxl6N76rJNRtemQV7cf8BlEimbgkDRiFXnkJMfP0Agws3cljYztv +2/6Y2KgfN+y6oHmvkt4ciCGNt2N8Rg5n7f+zprUq84dJr49gH7rBbSlNDXZ8 +Y+zKlEIB0pYdvmZrdOLJmO3rInLaaK/QSJNH1pwR7PrakFd6GTLUPfwvrZQX +P93ryda+9UqggKS5+MoBn5HDXDan5ld1Us5yHGsY7/bqKXaufiHhJ5KTTmfW +iFSLRfGTvZ5zErh4v01hMC7UoeW8IdboD6GrdMtU3/ONBs6YsoZkH5ZyBqPz +pcGTSKYvSfqjoCAvLmaeXoABR/2ie/CD8rK3f3ZAcxXOrAI0rGHCuzsD9jzE +fyePWeJiNimIEeQsmrXD8IeYu8p2eAflM/9YsPUkknl5uaYXgFGUyWPArofV +IuamR8fdeN6/5GVWAcrWxNyM2JhrjUS3QswSFzNJQQJSGem/6YERN9U6HoTO +CzfiIXJirCSRzMtLN70ADCETlqSuHzfsrQ8PZZQIXp7fS2NIS2vPrj3DCtCw +hoqaeAjRQtcscTGbFCQgVUeX7i836qefXeW/BIRXmOY9ahafSOblJZ1eAAAY +5KCtt3aFXaP87AUBsubMbZv+YPgePwAAAPBSgrWXJp+6z2fgnILy7504WQT9 +mwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA6AHlF0R8M589wXHK +8iPlnfCoMW3MIiCzB4UcGBhAZwCgjKgm6cQDASpHauJ9xvnDux5pYxYBmT0o +njVMWJZ2jUv+Rgkx91paGfxyijLUdDbsEwAYbGCyLplyduksXM9eZWiL1ZcY +swjI7EHxrUnqUjdFFRG+QxVrL4radL7OMt9kZ5lQ1dmwTwBgcNJZevDruCpL +W4lhUqspPrMIyOxBta11lvy8IpGDf/aRcBJX/FyC086PWawoAaijX2fDPgEG +EVhX5Zn1s9+x+dsIR6+1p54SdEhG6rPO/OdxB3mRUDNFB1H1ue1B/t4T/+4w +Y1USR/EyY1RQmJaS24zX8YgKKC83Yu3WqMQTUVvWRt7hqb0PB2svS0nIbjHu +3W0Miql4kWhDTnyo3/RPc2j1pMOHISVJBsiIgANxUF0pyKyJyn/6ZF8FXgMo +UcW+BT+Va/6P5SZAL9LGi0unBva1zTKymgw4ohJqOhv2CTBo6HoUueFIfhMi +ab1/ZIHtmx4HK3VfZy99/t+NK+L1Lk2pmKKFmHPu8NW6biOypstL/+H0VW+r +hK7y6MBvr7caMAmiLVe+cJt78Xn3V2WNFz52C7za0nN2wkSczLRbTd0LMLSD +Uyk0dH5lUMxun8Qv6hruhTqPodkvFQ+mlCQcIEMCDsBBCaQgtsbLWuiDF0hx +5QGfT7Vuc1lsAvQduyFtlZeNg3pLR8OrycAjUtfZsE+AQYLk+Y3rjb2R7Sxa +52T/SY5A60+6J/RAz7X6G5RSMEUTVNLZu50hrtg9c87R2t6Ld6wtK3BmcK6A +7nWZrD6JbT8j8ZlymSjlxrPsvc8qulhL6lKCXJ1cJ3Uz0c17F1kjO1lT+uqQ +uwRaMChmL+InP9Pu5Y0HQ0oSDZCGgPRh+KAEUhBb6yxeP/Wj9GZtidAXl+ZM +3VCssaNnuQnQ417dxZ3Rv4dPc9ZoN2xoNRl2RDo6G/YJMAhpv7dywnvafabl +soazvuOX5akXE9pedi4swMt3R8SWwH9NcXD0DE7R7LdNYIoQcoOo4H7sFwHR +alfuWNsf/uPnZ7bqZCTSkBUb5DPr68SEiG1Bvi7ugScL0o/uDlns6TxrczaP +n7fYzlY1XfBv+71tv6yA3j10yl2bmRGT9tTElJKMh9h45+kelK4URIif/jJt +yvePtf9QVP6t+7R9xE0LLS4BJNzzYXEVgprfWJrnJuJqMtkRcdHV2bBPgEEH +xsteM2dzDl87Q9sLljpP+7Vas8aw1qvebzuGKBZb0vrUz8fYzD7fKNNrSolU +UP9CrPM/hAZl/Ifn9672c319qOPKDFUnH9Hj79wnbSrBWSp3lmx0tvO71ITK +seZ0XxuHlX+2oXIpJ441dm5WzXXfUXaqs5Ewb7HtqNk36S1JKZ6bmBKTdGoy +rZJGhNhwmD0oTSkIkNQcZrkE6TwHKMxfMm7a4RqC06TFJQBSmxR2vFIkl9Tq +nimIq4ka9I+Ih67Ohn0CDDJQ/p19occrcO7d8m5+4DDjTL1WAStbLUdXK/cv +hHlLHP7Zv29PbEqueLTpGOvNMYvzdDKVxKBc8VuGgq0uo31V1+5IVeRU5+V4 +1zxdZdvGO/b8jzBv0dgJux51L6mwF5fZ9u8mP81dNGb0/L7rJsHteaOpXjdJ +Gy58+bGvgvfGjxjlwVb+c966XPxpkjkxSaYmkytpaIhx6RdQDRwBGT0oTSmI +XOccm+702R1tnQU5/mNZ/8vBfYzA4hKgtepU2KlqxdUM3pmCMAeMiBr5EfHQ +1dmwT4DBBNZVmXLgeDH+LwiFdwKcWL/Vaq0P1bOx4+E377j1XlaTmlIg4xVe +u1WrW7VEBvvouP+V+0e/t/R+T1yx233CuiKcx3dJzk1JXM5pTzvV/aZniTPs +2ckN9G4C679uYlBM8mWzqZU0OMTGwOxB6UlBgKQmluWsu4YR5n3uxDqqHUp9 +rponAYpLw9/3mOyhZKLD0FeHu7h/sKFIdZomzgGK0D4iHro6G/YJMHhAnl2O +irvb014U5ZddutKg8dQLUhXBmhSinbiKbJx86C/FX3Znh5fXvidi/abIwDOI +iRprmxFl7SHVxxb+u3/7RZi/zJWdgnde0T437VQ7N9UjL9KXuPkrNvzkaNOl ++ZOXZ9Dt1K3v3MSgmArET/bQvhXOlJKMh9hQ5w0/KD0pCEAqD7Lct+k8atFV +Euo2PbJK2xELTQAVUm7Cuy5aVzHEOWCqI+Khq7NhnwCDBFlzRrDra0Ne6WXI +UPfwv7TKTfx0rydb+6Zudzba2M7btj8mNurHDbsuKG5+UjBFAo5BjHd79RQ7 +V7+Q8BPJSacza0SqFaL4yV7POQlcnf0UDGm8HeMzcjhr/581rVWZP0x6fQT7 +0A1uS2lqsOMbY1emFAqQtuzwNVujE0/GbF8XkdNGuxxJz00MiqlA0lx85YDP +yGEum1Pzqzopn0QZURLfjnEhNtB5Iw5KSwoiukq3TPU936itv6wh2YelXPmo +fWapCdAPzpmCJAdMdERcdHU27BPgJQLlZW//7IDm0kT9Kp4RaBjEhHd3Bux5 +aJ3vKjG9mEwpyXiIqWA2KYgR5CyatQNnYd5VtsM7KJ/2jQ6LSgA5M9VkIp0N ++wR4uRBz06PjbjzvX+0ps1F3R8NwKBsUczNiY641WvF7SkwsJlNKMh5iKphJ +ChKQykj/TQ/w7pR0PAidF078EDkxlpIAcqaqyTQ6G/YJ8PKBIS2tPdv0cpmw +JHX9uGFvfXgoo0TAxA/KaRhERU08xCqvmNQxmZhMKcl4iKlgNilIQKqOLt1f +jr8u7yr/JSC8wqA3+VlCAsiZqSZT6WzYJwAAAIMftPXWrrBrhE9LyJozt236 +g+7zNIAOujob9gkAAMDgB2svTT51n0926kH5906cLIL+TUahq7NhnwAAAAAA +AAAAAAADzv8HbJBQuw== "], {{0, 3290}, {564, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -6435,7 +6464,7 @@ QJ/z/wHm1TXR ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[4]=", - CellID->1206263096] + CellID->1711130994] }, Open ]] }, Open ]] }, Open ]], @@ -6444,8 +6473,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"NPointTo4Point", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -6457,7 +6486,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 58.703336}", + "built" -> "{2020, 6, 20, 19, 8, 51.457504}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -6488,19 +6517,19 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5232, 165, 388, 15, 31, "PrimaryExamplesSection", + Cell[5233, 165, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2035077065]}, + CellID->308361647]}, "RasterizedOutput"->{ - Cell[15002, 498, 361789, 5939, 3024, "Output", + Cell[15003, 498, 363566, 5968, 3024, "Output", CellTags->"RasterizedOutput", - CellID->1206263096]} + CellID->1711130994]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 378742, 6489}, - {"RasterizedOutput", 378886, 6493} + {"PrimaryExamplesSection", 380520, 6518}, + {"RasterizedOutput", 380663, 6522} } *) (*NotebookFileOutline @@ -6512,47 +6541,47 @@ Cell[CellGroupData[{ Cell[3203, 91, 485, 13, 101, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3713, 108, 738, 24, 31, "NotesSection", +Cell[3713, 108, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->520539732], -Cell[4454, 134, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1873892205], +Cell[4455, 134, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4510, 138, 118, 3, 70, "Input", +Cell[4511, 138, 118, 3, 70, "Input", CellID->971530134], -Cell[4631, 143, 540, 15, 56, "Output", +Cell[4632, 143, 540, 15, 56, "Output", CellID->1936532499] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5232, 165, 388, 15, 31, "PrimaryExamplesSection", +Cell[5233, 165, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2035077065], + CellID->308361647], Cell[CellGroupData[{ -Cell[5645, 184, 195, 6, 26, "ExampleSection", - CellID->100727435], -Cell[5843, 192, 130, 4, 27, "Input", +Cell[5645, 184, 196, 6, 26, "ExampleSection", + CellID->1411963305], +Cell[5844, 192, 130, 4, 27, "Input", CellID->102456380], -Cell[5976, 198, 143, 5, 27, "Input", +Cell[5977, 198, 143, 5, 27, "Input", CellID->1800694022], Cell[CellGroupData[{ -Cell[6144, 207, 547, 19, 27, "Input", +Cell[6145, 207, 547, 19, 27, "Input", CellID->1464883166], -Cell[6694, 228, 3295, 115, 64, "Output", +Cell[6695, 228, 3295, 115, 64, "Output", CellID->1733350505] }, Open ]], Cell[CellGroupData[{ -Cell[10026, 348, 246, 7, 27, "Input", +Cell[10027, 348, 246, 7, 27, "Input", CellID->453605134], -Cell[10275, 357, 4724, 139, 93, "Print", +Cell[10276, 357, 4724, 139, 93, "Print", CellID->996693103], -Cell[15002, 498, 361789, 5939, 3024, "Output", +Cell[15003, 498, 363566, 5968, 3024, "Output", CellTags->"RasterizedOutput", - CellID->1206263096] + CellID->1711130994] }, Open ]] }, Open ]] }, Open ]], -Cell[376830, 6442, 23, 0, 70, "FooterCell"] +Cell[378608, 6471, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NTerms.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NTerms.nb index 3e2e38d32..001d50974 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NTerms.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NTerms.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9457, 326] +NotebookDataLength[ 9401, 325] NotebookOptionsPosition[ 5719, 207] -NotebookOutlinePosition[ 8454, 286] -CellTagsIndexPosition[ 8346, 280] +NotebookOutlinePosition[ 8398, 285] +CellTagsIndexPosition[ 8290, 279] WindowTitle->NTerms WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$190955], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$191963], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/NTerms", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1272617833], + CellID->407612845], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->381699119], + CellID->2125251378], Cell[CellGroupData[{ @@ -207,8 +207,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"NTerms", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -220,7 +220,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 0.130174}", + "built" -> "{2020, 6, 20, 19, 8, 52.903710}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -240,8 +240,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -251,9 +250,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3597, 106, 388, 15, 31, "PrimaryExamplesSection", + Cell[3597, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1272617833]}, + CellID->407612845]}, "NTerms"->{ Cell[4230, 135, 147, 5, 27, "Input", CellTags->"NTerms", @@ -279,8 +278,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7588, 252}, - {"NTerms", 7722, 256} + {"PrimaryExamplesSection", 7533, 251}, + {"NTerms", 7666, 255} } *) (*NotebookFileOutline @@ -291,12 +290,12 @@ Cell[2846, 76, 283, 11, 45, "ObjectNameGrid"], Cell[3132, 89, 440, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3597, 106, 388, 15, 31, "PrimaryExamplesSection", +Cell[3597, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1272617833], + CellID->407612845], Cell[CellGroupData[{ -Cell[4010, 125, 195, 6, 26, "ExampleSection", - CellID->381699119], +Cell[4009, 125, 196, 6, 26, "ExampleSection", + CellID->2125251378], Cell[CellGroupData[{ Cell[4230, 135, 147, 5, 27, "Input", CellTags->"NTerms", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NegativeInteger.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NegativeInteger.nb index 267430755..c515062e0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NegativeInteger.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NegativeInteger.nb @@ -79,7 +79,7 @@ NegativeInteger.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$187850], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$188858], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/NegativeInteger", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 52.029138}", + "built" -> "{2020, 6, 20, 19, 8, 45.576802}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Nf.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Nf.nb index 32db0460d..10cd088f4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Nf.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Nf.nb @@ -86,7 +86,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$188296], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$189304], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Nf", ".html"]], None}]}]}, @@ -195,7 +195,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 52.983164}", + "built" -> "{2020, 6, 20, 19, 8, 46.628574}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Nielsen.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Nielsen.nb index 784610bec..ca278ece0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Nielsen.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Nielsen.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16669, 600] -NotebookOptionsPosition[ 11469, 431] -NotebookOutlinePosition[ 14625, 523] -CellTagsIndexPosition[ 14514, 517] +NotebookDataLength[ 16616, 599] +NotebookOptionsPosition[ 11470, 431] +NotebookOutlinePosition[ 14571, 522] +CellTagsIndexPosition[ 14460, 516] WindowTitle->Nielsen WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$188746], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$189754], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Nielsen", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->310859751], + CellID->1324300625], Cell["", "SectionHeaderSpacer"], @@ -194,7 +194,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1354488895], + CellID->2142593715], Cell[CellGroupData[{ @@ -204,7 +204,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->913768145], + CellID->538764583], Cell[CellGroupData[{ @@ -432,7 +432,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Nielsen", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -444,7 +444,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 53.997528}", + "built" -> "{2020, 6, 20, 19, 8, 47.650872}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -462,8 +462,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -473,51 +472,51 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Nielsen"->{ - Cell[5142, 159, 131, 4, 70, "Input", + Cell[5143, 159, 131, 4, 70, "Input", CellTags->"Nielsen", CellID->393617069], - Cell[5276, 165, 254, 9, 37, "Output", + Cell[5277, 165, 254, 9, 37, "Output", CellTags->"Nielsen"], - Cell[6224, 210, 159, 5, 27, "Input", + Cell[6225, 210, 159, 5, 27, "Input", CellTags->"Nielsen", CellID->1266057514], - Cell[6386, 217, 369, 15, 38, "Output", + Cell[6387, 217, 369, 15, 38, "Output", CellTags->"Nielsen"], - Cell[6950, 242, 190, 6, 27, "Input", + Cell[6951, 242, 190, 6, 27, "Input", CellTags->"Nielsen", CellID->1539557957], - Cell[7143, 250, 207, 6, 35, "Output", + Cell[7144, 250, 207, 6, 35, "Output", CellTags->"Nielsen"], - Cell[7440, 263, 485, 15, 45, "Input", + Cell[7441, 263, 485, 15, 45, "Input", CellTags->"Nielsen", CellID->1900952317], - Cell[7928, 280, 405, 16, 55, "Output", + Cell[7929, 280, 405, 16, 55, "Output", CellTags->"Nielsen"], - Cell[8370, 301, 208, 6, 27, "Input", + Cell[8371, 301, 208, 6, 27, "Input", CellTags->"Nielsen", CellID->1917228474], - Cell[8581, 309, 658, 23, 56, "Output", + Cell[8582, 309, 658, 23, 56, "Output", CellTags->"Nielsen"], - Cell[9276, 337, 208, 6, 27, "Input", + Cell[9277, 337, 208, 6, 27, "Input", CellTags->"Nielsen", CellID->2065085174], - Cell[9487, 345, 892, 30, 101, "Output", + Cell[9488, 345, 892, 30, 101, "Output", CellTags->"Nielsen"], - Cell[10416, 380, 208, 6, 27, "Input", + Cell[10417, 380, 208, 6, 27, "Input", CellTags->"Nielsen", CellID->1212916567], - Cell[10627, 388, 224, 8, 37, "Output", + Cell[10628, 388, 224, 8, 37, "Output", CellTags->"Nielsen"]}, "PrimaryExamplesSection"->{ - Cell[5591, 181, 388, 15, 31, "PrimaryExamplesSection", + Cell[5592, 181, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1354488895]} + CellID->2142593715]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Nielsen", 13269, 474}, - {"PrimaryExamplesSection", 14370, 510} + {"Nielsen", 13215, 473}, + {"PrimaryExamplesSection", 14316, 509} } *) (*NotebookFileOutline @@ -529,79 +528,79 @@ Cell[CellGroupData[{ Cell[3903, 112, 417, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4345, 129, 738, 24, 31, "NotesSection", +Cell[4345, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->310859751], -Cell[5086, 155, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1324300625], +Cell[5087, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5142, 159, 131, 4, 70, "Input", +Cell[5143, 159, 131, 4, 70, "Input", CellTags->"Nielsen", CellID->393617069], -Cell[5276, 165, 254, 9, 37, "Output", +Cell[5277, 165, 254, 9, 37, "Output", CellTags->"Nielsen"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5591, 181, 388, 15, 31, "PrimaryExamplesSection", +Cell[5592, 181, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1354488895], + CellID->2142593715], Cell[CellGroupData[{ -Cell[6004, 200, 195, 6, 26, "ExampleSection", - CellID->913768145], +Cell[6005, 200, 195, 6, 26, "ExampleSection", + CellID->538764583], Cell[CellGroupData[{ -Cell[6224, 210, 159, 5, 27, "Input", +Cell[6225, 210, 159, 5, 27, "Input", CellTags->"Nielsen", CellID->1266057514], -Cell[6386, 217, 369, 15, 38, "Output", +Cell[6387, 217, 369, 15, 38, "Output", CellTags->"Nielsen"] }, Open ]], -Cell[6770, 235, 155, 3, 49, "Notes"], +Cell[6771, 235, 155, 3, 49, "Notes"], Cell[CellGroupData[{ -Cell[6950, 242, 190, 6, 27, "Input", +Cell[6951, 242, 190, 6, 27, "Input", CellTags->"Nielsen", CellID->1539557957], -Cell[7143, 250, 207, 6, 35, "Output", +Cell[7144, 250, 207, 6, 35, "Output", CellTags->"Nielsen"] }, Open ]], -Cell[7365, 259, 50, 0, 32, "Notes"], +Cell[7366, 259, 50, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[7440, 263, 485, 15, 45, "Input", +Cell[7441, 263, 485, 15, 45, "Input", CellTags->"Nielsen", CellID->1900952317], -Cell[7928, 280, 405, 16, 55, "Output", +Cell[7929, 280, 405, 16, 55, "Output", CellTags->"Nielsen"] }, Open ]], Cell[CellGroupData[{ -Cell[8370, 301, 208, 6, 27, "Input", +Cell[8371, 301, 208, 6, 27, "Input", CellTags->"Nielsen", CellID->1917228474], -Cell[8581, 309, 658, 23, 56, "Output", +Cell[8582, 309, 658, 23, 56, "Output", CellTags->"Nielsen"] }, Open ]], Cell[CellGroupData[{ -Cell[9276, 337, 208, 6, 27, "Input", +Cell[9277, 337, 208, 6, 27, "Input", CellTags->"Nielsen", CellID->2065085174], -Cell[9487, 345, 892, 30, 101, "Output", +Cell[9488, 345, 892, 30, 101, "Output", CellTags->"Nielsen"] }, Open ]], Cell[CellGroupData[{ -Cell[10416, 380, 208, 6, 27, "Input", +Cell[10417, 380, 208, 6, 27, "Input", CellTags->"Nielsen", CellID->1212916567], -Cell[10627, 388, 224, 8, 37, "Output", +Cell[10628, 388, 224, 8, 37, "Output", CellTags->"Nielsen"] }, Open ]] }, Open ]], -Cell[10878, 400, 31, 0, 29, "SectionFooterSpacer"] +Cell[10879, 400, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10946, 405, 270, 12, 31, "SeeAlsoSection", +Cell[10947, 405, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11219, 419, 208, 7, 56, "SeeAlso"] +Cell[11220, 419, 208, 7, 56, "SeeAlso"] }, Open ]], -Cell[11442, 429, 23, 0, 41, "FooterCell"] +Cell[11443, 429, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommFreeQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommFreeQ.nb index 2dc881d8d..1948c99d7 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommFreeQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommFreeQ.nb @@ -84,7 +84,7 @@ NonCommFreeQ.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$189188], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$190196], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/NonCommFreeQ", ".html"]], None}]}]}, @@ -190,7 +190,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 55.256891}", + "built" -> "{2020, 6, 20, 19, 8, 48.689499}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommQ.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommQ.nb index 9c24faff6..f8fbf6b18 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommQ.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommQ.nb @@ -84,7 +84,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$189636], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$190644], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/NonCommQ", ".html"]], None}]}]}, @@ -189,7 +189,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 56.297267}", + "built" -> "{2020, 6, 20, 19, 8, 49.481217}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommutative.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommutative.nb index afa6f5e40..3b2dfd594 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommutative.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NonCommutative.nb @@ -81,7 +81,7 @@ NonCommutative.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$190082], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$191090], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/NonCommutative", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 18, 59, 57.292137}", + "built" -> "{2020, 6, 20, 19, 8, 50.285052}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NumericQ1.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NumericQ1.nb index 530fa50e7..db0c5ac1b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NumericQ1.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NumericQ1.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9301, 313] -NotebookOptionsPosition[ 5903, 207] -NotebookOutlinePosition[ 8455, 280] -CellTagsIndexPosition[ 8344, 274] +NotebookDataLength[ 9308, 313] +NotebookOptionsPosition[ 5905, 207] +NotebookOutlinePosition[ 8460, 280] +CellTagsIndexPosition[ 8349, 274] WindowTitle->NumericQ1 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$191821], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$192829], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/NumericQ1", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->395669097], + CellID->1818180631], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->711952792], + CellID->1495905313], Cell[CellGroupData[{ @@ -220,7 +220,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 2.361565}", + "built" -> "{2020, 6, 20, 19, 8, 54.699564}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -250,31 +250,31 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3684, 108, 387, 15, 31, "PrimaryExamplesSection", + Cell[3684, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->395669097]}, + CellID->1818180631]}, "NumericQ1"->{ - Cell[4316, 137, 241, 8, 33, "Input", + Cell[4318, 137, 241, 8, 33, "Input", CellTags->"NumericQ1", CellID->294886798], - Cell[4560, 147, 194, 6, 35, "Output", + Cell[4562, 147, 194, 6, 35, "Output", CellTags->"NumericQ1"], - Cell[4791, 158, 288, 10, 33, "Input", + Cell[4793, 158, 288, 10, 33, "Input", CellTags->"NumericQ1", CellID->792660906], - Cell[5082, 170, 194, 6, 35, "Output", + Cell[5084, 170, 194, 6, 35, "Output", CellTags->"NumericQ1"], - Cell[5313, 181, 328, 11, 33, "Input", + Cell[5315, 181, 328, 11, 33, "Input", CellTags->"NumericQ1", CellID->103103501], - Cell[5644, 194, 193, 6, 35, "Output", + Cell[5646, 194, 193, 6, 35, "Output", CellTags->"NumericQ1"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7717, 251}, - {"NumericQ1", 7853, 255} + {"PrimaryExamplesSection", 7721, 251}, + {"NumericQ1", 7858, 255} } *) (*NotebookFileOutline @@ -285,36 +285,36 @@ Cell[2861, 76, 286, 11, 45, "ObjectNameGrid"], Cell[3150, 89, 509, 15, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3684, 108, 387, 15, 31, "PrimaryExamplesSection", +Cell[3684, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->395669097], + CellID->1818180631], Cell[CellGroupData[{ -Cell[4096, 127, 195, 6, 26, "ExampleSection", - CellID->711952792], +Cell[4097, 127, 196, 6, 26, "ExampleSection", + CellID->1495905313], Cell[CellGroupData[{ -Cell[4316, 137, 241, 8, 33, "Input", +Cell[4318, 137, 241, 8, 33, "Input", CellTags->"NumericQ1", CellID->294886798], -Cell[4560, 147, 194, 6, 35, "Output", +Cell[4562, 147, 194, 6, 35, "Output", CellTags->"NumericQ1"] }, Open ]], Cell[CellGroupData[{ -Cell[4791, 158, 288, 10, 33, "Input", +Cell[4793, 158, 288, 10, 33, "Input", CellTags->"NumericQ1", CellID->792660906], -Cell[5082, 170, 194, 6, 35, "Output", +Cell[5084, 170, 194, 6, 35, "Output", CellTags->"NumericQ1"] }, Open ]], Cell[CellGroupData[{ -Cell[5313, 181, 328, 11, 33, "Input", +Cell[5315, 181, 328, 11, 33, "Input", CellTags->"NumericQ1", CellID->103103501], -Cell[5644, 194, 193, 6, 35, "Output", +Cell[5646, 194, 193, 6, 35, "Output", CellTags->"NumericQ1"] }, Open ]] }, Open ]] }, Open ]], -Cell[5876, 205, 23, 0, 41, "FooterCell"] +Cell[5878, 205, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NumericalFactor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NumericalFactor.nb index c423f3087..8599c40c9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/NumericalFactor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/NumericalFactor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5491, 156] +NotebookDataLength[ 5493, 156] NotebookOptionsPosition[ 3613, 105] -NotebookOutlinePosition[ 5427, 153] -CellTagsIndexPosition[ 5384, 150] +NotebookOutlinePosition[ 5429, 153] +CellTagsIndexPosition[ 5386, 150] WindowTitle->NumericalFactor WindowFrame->Normal*) @@ -59,7 +59,7 @@ NumericalFactor.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$191385], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$192393], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/NumericalFactor", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 1.291304}", + "built" -> "{2020, 6, 20, 19, 8, 53.882142}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE.nb index b3e83039b..c995e6900 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE.nb @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$196664], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$197672], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPE", ".html"]], None}]}]}, @@ -199,7 +199,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 14.039512}", + "built" -> "{2020, 6, 20, 19, 9, 5.682228}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE1Loop.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE1Loop.nb index 5b3fceea4..90e8eaa11 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE1Loop.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE1Loop.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6822, 209] +NotebookDataLength[ 6824, 209] NotebookOptionsPosition[ 4823, 153] -NotebookOutlinePosition[ 6615, 201] -CellTagsIndexPosition[ 6572, 198] +NotebookOutlinePosition[ 6617, 201] +CellTagsIndexPosition[ 6574, 198] WindowTitle->OPE1Loop WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$193586], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$194594], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPE1Loop", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 6.817801}", + "built" -> "{2020, 6, 20, 19, 8, 59.066346}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE2TID.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE2TID.nb index 1754ecfe9..2e8d39ef4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE2TID.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPE2TID.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8969, 294] +NotebookDataLength[ 8971, 294] NotebookOptionsPosition[ 6295, 212] -NotebookOutlinePosition[ 8336, 270] -CellTagsIndexPosition[ 8267, 265] +NotebookOutlinePosition[ 8338, 270] +CellTagsIndexPosition[ 8269, 265] WindowTitle->OPE2TID WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$194034], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$195042], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPE2TID", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1583348681], + CellID->1547562131], Cell["", "SectionHeaderSpacer"], @@ -213,7 +213,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"OPE2TID", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -225,7 +225,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 7.827450}", + "built" -> "{2020, 6, 20, 19, 8, 59.827859}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -264,7 +264,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"OPE2TID", 8067, 255} + {"OPE2TID", 8069, 255} } *) (*NotebookFileOutline @@ -278,7 +278,7 @@ Cell[3885, 112, 446, 13, 93, "Usage", Cell[CellGroupData[{ Cell[4356, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1583348681], + CellID->1547562131], Cell[5098, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5154, 159, 132, 4, 70, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEDelta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEDelta.nb index ef9f8c485..eb790d883 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEDelta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEDelta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10502, 360] +NotebookDataLength[ 10446, 359] NotebookOptionsPosition[ 6874, 248] -NotebookOutlinePosition[ 9467, 321] -CellTagsIndexPosition[ 9357, 315] +NotebookOutlinePosition[ 9411, 320] +CellTagsIndexPosition[ 9301, 314] WindowTitle->OPEDelta WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$194467], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$195475], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPEDelta", ".html"]], None}]}]}, @@ -139,7 +139,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1236723403], + CellID->1368375657], Cell[CellGroupData[{ @@ -149,7 +149,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2114371267], + CellID->1456424799], Cell[CellGroupData[{ @@ -261,7 +261,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 8.928947}", + "built" -> "{2020, 6, 20, 19, 9, 0.804407}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -280,8 +280,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -293,7 +292,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4315, 126, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1236723403]}, + CellID->1368375657]}, "OPEDelta"->{ Cell[4949, 155, 154, 5, 27, "Input", CellTags->"OPEDelta", @@ -314,8 +313,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8737, 292}, - {"OPEDelta", 8873, 296} + {"PrimaryExamplesSection", 8681, 291}, + {"OPEDelta", 8817, 295} } *) (*NotebookFileOutline @@ -328,10 +327,10 @@ Cell[3895, 110, 395, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4315, 126, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1236723403], + CellID->1368375657], Cell[CellGroupData[{ Cell[4728, 145, 196, 6, 26, "ExampleSection", - CellID->2114371267], + CellID->1456424799], Cell[CellGroupData[{ Cell[4949, 155, 154, 5, 27, "Input", CellTags->"OPEDelta", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEInt.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEInt.nb index a69727c6a..1e2f4f7f2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEInt.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEInt.nb @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$196214], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$197222], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPEInt", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 13.077466}", + "built" -> "{2020, 6, 20, 19, 9, 4.606878}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEIntegrate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEIntegrate.nb index addc459fa..3e5d071d9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEIntegrate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEIntegrate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9022, 287] -NotebookOptionsPosition[ 6581, 217] -NotebookOutlinePosition[ 8477, 267] -CellTagsIndexPosition[ 8434, 264] +NotebookDataLength[ 8967, 286] +NotebookOptionsPosition[ 6582, 217] +NotebookOutlinePosition[ 8421, 266] +CellTagsIndexPosition[ 8378, 263] WindowTitle->OPEIntegrate WindowFrame->Normal*) @@ -79,7 +79,7 @@ OPEIntegrate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$195781], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$196789], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPEIntegrate", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->132546791], + CellID->1471658893], Cell["", "SectionHeaderSpacer"], @@ -217,8 +217,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"OPEIntegrate", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -230,7 +230,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 12.036129}", + "built" -> "{2020, 6, 20, 19, 9, 3.727510}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -250,8 +250,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -273,22 +272,22 @@ Cell[CellGroupData[{ Cell[3910, 112, 436, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4371, 129, 738, 24, 31, "NotesSection", +Cell[4371, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->132546791], -Cell[5112, 155, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1471658893], +Cell[5113, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5168, 159, 95, 2, 70, "Input"], -Cell[5266, 163, 767, 21, 56, "Output"] +Cell[5169, 159, 95, 2, 70, "Input"], +Cell[5267, 163, 767, 21, 56, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6094, 191, 270, 12, 31, "SeeAlsoSection", +Cell[6095, 191, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6367, 205, 172, 7, 56, "SeeAlso"] +Cell[6368, 205, 172, 7, 56, "SeeAlso"] }, Open ]], -Cell[6554, 215, 23, 0, 41, "FooterCell"] +Cell[6555, 215, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEIntegrateDelta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEIntegrateDelta.nb index b1c998e5d..bdaf545ee 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEIntegrateDelta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEIntegrateDelta.nb @@ -79,7 +79,7 @@ OPEIntegrateDelta.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$195338], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$196346], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPEIntegrateDelta", ".html"]], None}]}]}, @@ -208,7 +208,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 11.069400}", + "built" -> "{2020, 6, 20, 19, 9, 2.927414}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESum.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESum.nb index 92a428353..782d7203c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESum.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESum.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16484, 587] +NotebookDataLength[ 16427, 586] NotebookOptionsPosition[ 12556, 463] -NotebookOutlinePosition[ 15275, 541] -CellTagsIndexPosition[ 15165, 535] +NotebookOutlinePosition[ 15218, 540] +CellTagsIndexPosition[ 15108, 534] WindowTitle->OPESum WindowFrame->Normal*) @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$197547], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$198555], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPESum", ".html"]], None}]}]}, @@ -145,7 +145,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1624710317], + CellID->1329867771], Cell[CellGroupData[{ @@ -155,7 +155,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1809286407], + CellID->1248533031], Cell[CellGroupData[{ @@ -464,7 +464,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"OPESum", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -476,7 +476,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 15.999798}", + "built" -> "{2020, 6, 20, 19, 9, 7.629741}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -495,8 +495,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -508,7 +507,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4523, 132, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1624710317]}, + CellID->1329867771]}, "OPESum"->{ Cell[5157, 161, 442, 15, 27, "Input", CellTags->"OPESum", @@ -534,8 +533,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14401, 507}, - {"OPESum", 14535, 511} + {"PrimaryExamplesSection", 14344, 506}, + {"OPESum", 14478, 510} } *) (*NotebookFileOutline @@ -548,10 +547,10 @@ Cell[3979, 112, 519, 16, 85, "Usage", Cell[CellGroupData[{ Cell[4523, 132, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1624710317], + CellID->1329867771], Cell[CellGroupData[{ Cell[4936, 151, 196, 6, 26, "ExampleSection", - CellID->1809286407], + CellID->1248533031], Cell[CellGroupData[{ Cell[5157, 161, 442, 15, 27, "Input", CellTags->"OPESum", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESumExplicit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESumExplicit.nb index 2661ed350..2f0694346 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESumExplicit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESumExplicit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16346, 583] -NotebookOptionsPosition[ 11950, 447] -NotebookOutlinePosition[ 14738, 525] -CellTagsIndexPosition[ 14620, 519] +NotebookDataLength[ 16293, 582] +NotebookOptionsPosition[ 11951, 447] +NotebookOutlinePosition[ 14684, 524] +CellTagsIndexPosition[ 14566, 518] WindowTitle->OPESumExplicit WindowFrame->Normal*) @@ -80,7 +80,7 @@ OPESumExplicit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$197108], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$198116], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPESumExplicit", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->258634994], + CellID->1510942172], Cell["", "SectionHeaderSpacer"], @@ -191,7 +191,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1659838998], + CellID->1163690057], Cell[CellGroupData[{ @@ -201,7 +201,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2035920903], + CellID->1851570205], Cell[CellGroupData[{ @@ -448,7 +448,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"OPESumExplicit", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -460,7 +460,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 14.906612}", + "built" -> "{2020, 6, 20, 19, 9, 6.528837}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -479,8 +479,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -490,36 +489,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5617, 178, 388, 15, 31, "PrimaryExamplesSection", + Cell[5618, 178, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1659838998]}, + CellID->1163690057]}, "OPESumExplicit"->{ - Cell[6251, 207, 371, 13, 27, "Input", + Cell[6252, 207, 371, 13, 27, "Input", CellTags->"OPESumExplicit", CellID->448095633], - Cell[6625, 222, 492, 18, 67, "Output", + Cell[6626, 222, 492, 18, 67, "Output", CellTags->"OPESumExplicit"], - Cell[7154, 245, 138, 4, 27, "Input", + Cell[7155, 245, 138, 4, 27, "Input", CellTags->"OPESumExplicit", CellID->21429542], - Cell[7295, 251, 493, 19, 59, "Output", + Cell[7296, 251, 493, 19, 59, "Output", CellTags->"OPESumExplicit"], - Cell[7825, 275, 556, 19, 27, "Input", + Cell[7826, 275, 556, 19, 27, "Input", CellTags->"OPESumExplicit", CellID->1082502911], - Cell[8384, 296, 787, 30, 69, "Output", + Cell[8385, 296, 787, 30, 69, "Output", CellTags->"OPESumExplicit"], - Cell[9208, 331, 139, 4, 27, "Input", + Cell[9209, 331, 139, 4, 27, "Input", CellTags->"OPESumExplicit", CellID->773320980], - Cell[9350, 337, 1832, 69, 111, "Output", + Cell[9351, 337, 1832, 69, 111, "Output", CellTags->"OPESumExplicit"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13786, 491}, - {"OPESumExplicit", 13928, 495} + {"PrimaryExamplesSection", 13732, 490}, + {"OPESumExplicit", 13874, 494} } *) (*NotebookFileOutline @@ -531,60 +530,60 @@ Cell[CellGroupData[{ Cell[4026, 113, 371, 12, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4422, 129, 738, 24, 31, "NotesSection", +Cell[4422, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->258634994], -Cell[5163, 155, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1510942172], +Cell[5164, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5219, 159, 97, 2, 70, "Input"], -Cell[5319, 163, 237, 8, 37, "Output"] +Cell[5220, 159, 97, 2, 70, "Input"], +Cell[5320, 163, 237, 8, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5617, 178, 388, 15, 31, "PrimaryExamplesSection", +Cell[5618, 178, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1659838998], + CellID->1163690057], Cell[CellGroupData[{ -Cell[6030, 197, 196, 6, 26, "ExampleSection", - CellID->2035920903], +Cell[6031, 197, 196, 6, 26, "ExampleSection", + CellID->1851570205], Cell[CellGroupData[{ -Cell[6251, 207, 371, 13, 27, "Input", +Cell[6252, 207, 371, 13, 27, "Input", CellTags->"OPESumExplicit", CellID->448095633], -Cell[6625, 222, 492, 18, 67, "Output", +Cell[6626, 222, 492, 18, 67, "Output", CellTags->"OPESumExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[7154, 245, 138, 4, 27, "Input", +Cell[7155, 245, 138, 4, 27, "Input", CellTags->"OPESumExplicit", CellID->21429542], -Cell[7295, 251, 493, 19, 59, "Output", +Cell[7296, 251, 493, 19, 59, "Output", CellTags->"OPESumExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[7825, 275, 556, 19, 27, "Input", +Cell[7826, 275, 556, 19, 27, "Input", CellTags->"OPESumExplicit", CellID->1082502911], -Cell[8384, 296, 787, 30, 69, "Output", +Cell[8385, 296, 787, 30, 69, "Output", CellTags->"OPESumExplicit"] }, Open ]], Cell[CellGroupData[{ -Cell[9208, 331, 139, 4, 27, "Input", +Cell[9209, 331, 139, 4, 27, "Input", CellTags->"OPESumExplicit", CellID->773320980], -Cell[9350, 337, 1832, 69, 111, "Output", +Cell[9351, 337, 1832, 69, 111, "Output", CellTags->"OPESumExplicit"] }, Open ]] }, Open ]], -Cell[11209, 410, 31, 0, 70, "SectionFooterSpacer"] +Cell[11210, 410, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11277, 415, 270, 12, 70, "SeeAlsoSection", +Cell[11278, 415, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11550, 429, 358, 13, 70, "SeeAlso"] +Cell[11551, 429, 358, 13, 56, "SeeAlso"] }, Open ]], -Cell[11923, 445, 23, 0, 70, "FooterCell"] +Cell[11924, 445, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESumSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESumSimplify.nb index 24e69a602..ef54c0d71 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESumSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPESumSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17893, 638] -NotebookOptionsPosition[ 12972, 481] -NotebookOutlinePosition[ 15992, 568] -CellTagsIndexPosition[ 15874, 562] +NotebookDataLength[ 17890, 638] +NotebookOptionsPosition[ 12971, 481] +NotebookOutlinePosition[ 15990, 568] +CellTagsIndexPosition[ 15872, 562] WindowTitle->OPESumSimplify WindowFrame->Normal*) @@ -80,7 +80,7 @@ OPESumSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$197989], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$198997], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPESumSimplify", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->240770846], + CellID->711874916], Cell["", "SectionHeaderSpacer"], @@ -191,7 +191,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1935570068], + CellID->506684748], Cell[CellGroupData[{ @@ -201,7 +201,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1016291654], + CellID->1243643099], Cell[CellGroupData[{ @@ -481,8 +481,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"OPESumSimplify", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -494,7 +494,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 17.113608}", + "built" -> "{2020, 6, 20, 19, 9, 8.734001}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -523,46 +523,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5624, 178, 388, 15, 31, "PrimaryExamplesSection", + Cell[5624, 178, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1935570068]}, + CellID->506684748]}, "OPESumSimplify"->{ - Cell[6258, 207, 160, 5, 27, "Input", + Cell[6257, 207, 160, 5, 27, "Input", CellTags->"OPESumSimplify", CellID->301700583], - Cell[6421, 214, 1157, 41, 65, "Output", + Cell[6420, 214, 1157, 41, 65, "Output", CellTags->"OPESumSimplify", CellID->843585068], - Cell[7615, 260, 106, 3, 27, "Input", + Cell[7614, 260, 106, 3, 27, "Input", CellTags->"OPESumSimplify", CellID->603012719], - Cell[7724, 265, 1926, 68, 67, "Output", + Cell[7723, 265, 1926, 68, 67, "Output", CellTags->"OPESumSimplify", CellID->276666428], - Cell[9687, 338, 290, 9, 27, "Input", + Cell[9686, 338, 290, 9, 27, "Input", CellTags->"OPESumSimplify", CellID->341981151], - Cell[9980, 349, 387, 15, 65, "Output", + Cell[9979, 349, 387, 15, 65, "Output", CellTags->"OPESumSimplify", CellID->956192019], - Cell[10404, 369, 456, 15, 27, "Input", + Cell[10403, 369, 456, 15, 27, "Input", CellTags->"OPESumSimplify", CellID->445474412], - Cell[10863, 386, 658, 26, 65, "Output", + Cell[10862, 386, 658, 26, 65, "Output", CellTags->"OPESumSimplify", CellID->630874009], - Cell[11558, 417, 134, 4, 27, "Input", + Cell[11557, 417, 134, 4, 27, "Input", CellTags->"OPESumSimplify", CellID->1811258609], - Cell[11695, 423, 509, 17, 61, "Output", + Cell[11694, 423, 509, 17, 61, "Output", CellTags->"OPESumSimplify", CellID->899717952]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14760, 524}, - {"OPESumSimplify", 14902, 528} + {"PrimaryExamplesSection", 14759, 524}, + {"OPESumSimplify", 14900, 528} } *) (*NotebookFileOutline @@ -576,7 +576,7 @@ Cell[4026, 113, 378, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4429, 129, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->240770846], + CellID->711874916], Cell[5170, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5226, 159, 97, 2, 70, "Input"], @@ -585,61 +585,61 @@ Cell[5326, 163, 237, 8, 37, "Output"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5624, 178, 388, 15, 31, "PrimaryExamplesSection", +Cell[5624, 178, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1935570068], + CellID->506684748], Cell[CellGroupData[{ -Cell[6037, 197, 196, 6, 26, "ExampleSection", - CellID->1016291654], +Cell[6036, 197, 196, 6, 26, "ExampleSection", + CellID->1243643099], Cell[CellGroupData[{ -Cell[6258, 207, 160, 5, 27, "Input", +Cell[6257, 207, 160, 5, 27, "Input", CellTags->"OPESumSimplify", CellID->301700583], -Cell[6421, 214, 1157, 41, 65, "Output", +Cell[6420, 214, 1157, 41, 65, "Output", CellTags->"OPESumSimplify", CellID->843585068] }, Open ]], Cell[CellGroupData[{ -Cell[7615, 260, 106, 3, 27, "Input", +Cell[7614, 260, 106, 3, 27, "Input", CellTags->"OPESumSimplify", CellID->603012719], -Cell[7724, 265, 1926, 68, 67, "Output", +Cell[7723, 265, 1926, 68, 67, "Output", CellTags->"OPESumSimplify", CellID->276666428] }, Open ]], Cell[CellGroupData[{ -Cell[9687, 338, 290, 9, 27, "Input", +Cell[9686, 338, 290, 9, 27, "Input", CellTags->"OPESumSimplify", CellID->341981151], -Cell[9980, 349, 387, 15, 65, "Output", +Cell[9979, 349, 387, 15, 65, "Output", CellTags->"OPESumSimplify", CellID->956192019] }, Open ]], Cell[CellGroupData[{ -Cell[10404, 369, 456, 15, 27, "Input", +Cell[10403, 369, 456, 15, 27, "Input", CellTags->"OPESumSimplify", CellID->445474412], -Cell[10863, 386, 658, 26, 65, "Output", +Cell[10862, 386, 658, 26, 65, "Output", CellTags->"OPESumSimplify", CellID->630874009] }, Open ]], Cell[CellGroupData[{ -Cell[11558, 417, 134, 4, 27, "Input", +Cell[11557, 417, 134, 4, 27, "Input", CellTags->"OPESumSimplify", CellID->1811258609], -Cell[11695, 423, 509, 17, 61, "Output", +Cell[11694, 423, 509, 17, 61, "Output", CellTags->"OPESumSimplify", CellID->899717952] }, Open ]] }, Open ]], -Cell[12231, 444, 31, 0, 29, "SectionFooterSpacer"] +Cell[12230, 444, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12299, 449, 270, 12, 31, "SeeAlsoSection", +Cell[12298, 449, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12572, 463, 358, 13, 56, "SeeAlso"] +Cell[12571, 463, 358, 13, 56, "SeeAlso"] }, Open ]], -Cell[12945, 479, 23, 0, 70, "FooterCell"] +Cell[12944, 479, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEi.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEi.nb index 482cf5bd1..8b56c7561 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEi.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OPEi.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14455, 518] -NotebookOptionsPosition[ 10113, 375] -NotebookOutlinePosition[ 13087, 463] -CellTagsIndexPosition[ 12979, 457] +NotebookDataLength[ 14460, 518] +NotebookOptionsPosition[ 10115, 375] +NotebookOutlinePosition[ 13090, 463] +CellTagsIndexPosition[ 12982, 457] WindowTitle->OPEi WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$194903], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$195911], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPEi", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->463695855], + CellID->298343333], Cell[CellGroupData[{ @@ -128,7 +128,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->35029913], + CellID->1847219150], Cell[CellGroupData[{ @@ -164,7 +164,7 @@ Cell[BoxData[ RowBox[{ "True", ",", "True", ",", "True", ",", "True", ",", "True", ",", "True", ",", "True"}], "}"}], TraditionalForm]], "Output", - ImageSize->{259, 14}, + ImageSize->{259, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"OPEi", @@ -221,7 +221,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"1", ",", "1", ",", "1", ",", "1", ",", "1", ",", "1", ",", "1"}], "}"}], TraditionalForm]], "Output", - ImageSize->{119, 14}, + ImageSize->{119, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"OPEi", @@ -388,7 +388,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 9.992171}", + "built" -> "{2020, 6, 20, 19, 9, 1.825531}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -420,44 +420,44 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3574, 105, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->463695855]}, + CellID->298343333]}, "OPEi"->{ - Cell[4205, 134, 93, 3, 27, "Input", + Cell[4207, 134, 93, 3, 27, "Input", CellTags->"OPEi", CellID->1513541744], - Cell[4301, 139, 185, 6, 35, "Output", + Cell[4303, 139, 185, 6, 35, "Output", CellTags->"OPEi"], - Cell[4523, 150, 277, 8, 27, "Input", + Cell[4525, 150, 277, 8, 27, "Input", CellTags->"OPEi", CellID->1628297296], - Cell[4803, 160, 313, 10, 35, "Output", + Cell[4805, 160, 313, 10, 37, "Output", CellTags->"OPEi"], - Cell[5153, 175, 1093, 41, 45, "Input", + Cell[5155, 175, 1093, 41, 45, "Input", CellTags->"OPEi", CellID->233448399], - Cell[6249, 218, 287, 9, 35, "Output", + Cell[6251, 218, 287, 9, 37, "Output", CellTags->"OPEi"], - Cell[6613, 234, 536, 18, 45, "Input", + Cell[6615, 234, 536, 18, 45, "Input", CellTags->"OPEi", CellID->631981450], - Cell[7152, 254, 614, 22, 37, "Output", + Cell[7154, 254, 614, 22, 37, "Output", CellTags->"OPEi"], - Cell[7803, 281, 552, 20, 27, "Input", + Cell[7805, 281, 552, 20, 27, "Input", CellTags->"OPEi", CellID->1153963056], - Cell[8358, 303, 498, 18, 37, "Output", + Cell[8360, 303, 498, 18, 37, "Output", CellTags->"OPEi"], - Cell[8893, 326, 537, 18, 45, "Input", + Cell[8895, 326, 537, 18, 45, "Input", CellTags->"OPEi", CellID->1255237485], - Cell[9433, 346, 614, 22, 37, "Output", + Cell[9435, 346, 614, 22, 37, "Output", CellTags->"OPEi"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11942, 419}, - {"OPEi", 12073, 423} + {"PrimaryExamplesSection", 11945, 419}, + {"OPEi", 12076, 423} } *) (*NotebookFileOutline @@ -470,56 +470,56 @@ Cell[3120, 89, 429, 12, 102, "Usage", Cell[CellGroupData[{ Cell[3574, 105, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->463695855], + CellID->298343333], Cell[CellGroupData[{ -Cell[3986, 124, 194, 6, 26, "ExampleSection", - CellID->35029913], +Cell[3986, 124, 196, 6, 26, "ExampleSection", + CellID->1847219150], Cell[CellGroupData[{ -Cell[4205, 134, 93, 3, 27, "Input", +Cell[4207, 134, 93, 3, 27, "Input", CellTags->"OPEi", CellID->1513541744], -Cell[4301, 139, 185, 6, 35, "Output", +Cell[4303, 139, 185, 6, 35, "Output", CellTags->"OPEi"] }, Open ]], Cell[CellGroupData[{ -Cell[4523, 150, 277, 8, 27, "Input", +Cell[4525, 150, 277, 8, 27, "Input", CellTags->"OPEi", CellID->1628297296], -Cell[4803, 160, 313, 10, 35, "Output", +Cell[4805, 160, 313, 10, 37, "Output", CellTags->"OPEi"] }, Open ]], Cell[CellGroupData[{ -Cell[5153, 175, 1093, 41, 45, "Input", +Cell[5155, 175, 1093, 41, 45, "Input", CellTags->"OPEi", CellID->233448399], -Cell[6249, 218, 287, 9, 35, "Output", +Cell[6251, 218, 287, 9, 37, "Output", CellTags->"OPEi"] }, Open ]], -Cell[6551, 230, 37, 0, 32, "Notes"], +Cell[6553, 230, 37, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[6613, 234, 536, 18, 45, "Input", +Cell[6615, 234, 536, 18, 45, "Input", CellTags->"OPEi", CellID->631981450], -Cell[7152, 254, 614, 22, 37, "Output", +Cell[7154, 254, 614, 22, 37, "Output", CellTags->"OPEi"] }, Open ]], Cell[CellGroupData[{ -Cell[7803, 281, 552, 20, 27, "Input", +Cell[7805, 281, 552, 20, 27, "Input", CellTags->"OPEi", CellID->1153963056], -Cell[8358, 303, 498, 18, 37, "Output", +Cell[8360, 303, 498, 18, 37, "Output", CellTags->"OPEi"] }, Open ]], Cell[CellGroupData[{ -Cell[8893, 326, 537, 18, 45, "Input", +Cell[8895, 326, 537, 18, 45, "Input", CellTags->"OPEi", CellID->1255237485], -Cell[9433, 346, 614, 22, 37, "Output", +Cell[9435, 346, 614, 22, 37, "Output", CellTags->"OPEi"] }, Open ]] }, Open ]] }, Open ]], -Cell[10086, 373, 23, 0, 41, "FooterCell"] +Cell[10088, 373, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoop.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoop.nb index 3544b69e2..1e7c8cbe8 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoop.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoop.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 22449, 750] -NotebookOptionsPosition[ 17793, 608] -NotebookOutlinePosition[ 20828, 690] -CellTagsIndexPosition[ 20717, 684] +NotebookDataLength[ 22401, 749] +NotebookOptionsPosition[ 17795, 608] +NotebookOutlinePosition[ 20778, 689] +CellTagsIndexPosition[ 20667, 683] WindowTitle->OneLoop WindowFrame->Normal*) @@ -85,7 +85,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$192259], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$193267], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OneLoop", ".html"]], None}]}]}, @@ -160,7 +160,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->170033547], + CellID->1051747882], Cell["", "SectionHeaderSpacer"], @@ -206,7 +206,7 @@ Cell[BoxData[ RowBox[{"WriteOut", "\[Rule]", "False"}], ",", RowBox[{"WriteOutPaVe", "\[Rule]", "False"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{544, 108}, + ImageSize->{544, 110}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"OneLoop", @@ -232,7 +232,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->479073918], + CellID->1683833395], Cell[CellGroupData[{ @@ -242,7 +242,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->757238189], + CellID->227487978], Cell[CellGroupData[{ @@ -609,7 +609,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"OneLoop", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -621,7 +621,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 3.482634}", + "built" -> "{2020, 6, 20, 19, 8, 55.728018}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -644,8 +644,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -655,36 +654,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "OneLoop"->{ - Cell[5985, 171, 132, 4, 70, "Input", + Cell[5986, 171, 132, 4, 70, "Input", CellTags->"OneLoop", CellID->183705859], - Cell[6120, 177, 1502, 35, 129, "Output", + Cell[6121, 177, 1502, 35, 131, "Output", CellTags->"OneLoop"], - Cell[8315, 248, 261, 10, 27, "Input", + Cell[8317, 248, 261, 10, 27, "Input", CellTags->"OneLoop", CellID->1162504480], - Cell[8579, 260, 778, 25, 63, "Output", + Cell[8581, 260, 778, 25, 63, "Output", CellTags->"OneLoop"], - Cell[9394, 290, 149, 5, 27, "Input", + Cell[9396, 290, 149, 5, 27, "Input", CellTags->"OneLoop", CellID->1041679425], - Cell[9546, 297, 344, 13, 42, "Output", + Cell[9548, 297, 344, 13, 42, "Output", CellTags->"OneLoop"], - Cell[9927, 315, 822, 28, 78, "Input", + Cell[9929, 315, 822, 28, 79, "Input", CellTags->"OneLoop", CellID->257997891], - Cell[10752, 345, 2868, 96, 68, "Output", + Cell[10754, 345, 2868, 96, 68, "Output", CellTags->"OneLoop"]}, "PrimaryExamplesSection"->{ - Cell[7683, 219, 387, 15, 31, "PrimaryExamplesSection", + Cell[7684, 219, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->479073918]} + CellID->1683833395]} } *) (*CellTagsIndex CellTagsIndex->{ - {"OneLoop", 19928, 656}, - {"PrimaryExamplesSection", 20574, 677} + {"OneLoop", 19877, 655}, + {"PrimaryExamplesSection", 20523, 676} } *) (*NotebookFileOutline @@ -696,62 +695,62 @@ Cell[CellGroupData[{ Cell[4343, 118, 733, 16, 136, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5101, 138, 738, 24, 31, "NotesSection", +Cell[5101, 138, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->170033547], -Cell[5842, 164, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5876, 166, 84, 1, 70, "Notes", + CellID->1051747882], +Cell[5843, 164, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5877, 166, 84, 1, 70, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[5985, 171, 132, 4, 70, "Input", +Cell[5986, 171, 132, 4, 70, "Input", CellTags->"OneLoop", CellID->183705859], -Cell[6120, 177, 1502, 35, 129, "Output", +Cell[6121, 177, 1502, 35, 131, "Output", CellTags->"OneLoop"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7683, 219, 387, 15, 31, "PrimaryExamplesSection", +Cell[7684, 219, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->479073918], + CellID->1683833395], Cell[CellGroupData[{ -Cell[8095, 238, 195, 6, 26, "ExampleSection", - CellID->757238189], +Cell[8097, 238, 195, 6, 26, "ExampleSection", + CellID->227487978], Cell[CellGroupData[{ -Cell[8315, 248, 261, 10, 27, "Input", +Cell[8317, 248, 261, 10, 27, "Input", CellTags->"OneLoop", CellID->1162504480], -Cell[8579, 260, 778, 25, 63, "Output", +Cell[8581, 260, 778, 25, 63, "Output", CellTags->"OneLoop"] }, Open ]], Cell[CellGroupData[{ -Cell[9394, 290, 149, 5, 27, "Input", +Cell[9396, 290, 149, 5, 27, "Input", CellTags->"OneLoop", CellID->1041679425], -Cell[9546, 297, 344, 13, 42, "Output", +Cell[9548, 297, 344, 13, 42, "Output", CellTags->"OneLoop"] }, Open ]], Cell[CellGroupData[{ -Cell[9927, 315, 822, 28, 78, "Input", +Cell[9929, 315, 822, 28, 79, "Input", CellTags->"OneLoop", CellID->257997891], -Cell[10752, 345, 2868, 96, 68, "Output", +Cell[10754, 345, 2868, 96, 68, "Output", CellTags->"OneLoop"] }, Open ]], Cell[CellGroupData[{ -Cell[13657, 446, 106, 3, 27, "Input"], -Cell[13766, 451, 2575, 87, 122, "Output"] +Cell[13659, 446, 106, 3, 27, "Input"], +Cell[13768, 451, 2575, 87, 122, "Output"] }, Open ]] }, Open ]], -Cell[16368, 542, 31, 0, 29, "SectionFooterSpacer"] +Cell[16370, 542, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[16436, 547, 270, 12, 31, "SeeAlsoSection", +Cell[16438, 547, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[16709, 561, 1042, 42, 57, "SeeAlso"] +Cell[16711, 561, 1042, 42, 57, "SeeAlso"] }, Open ]], -Cell[17766, 606, 23, 0, 41, "FooterCell"] +Cell[17768, 606, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoopSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoopSimplify.nb index e394d5566..32ab0f029 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoopSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoopSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 54839, 1510] -NotebookOptionsPosition[ 48519, 1318] -NotebookOutlinePosition[ 52446, 1426] -CellTagsIndexPosition[ 52289, 1419] +NotebookDataLength[ 54957, 1512] +NotebookOptionsPosition[ 48633, 1320] +NotebookOutlinePosition[ 52564, 1428] +CellTagsIndexPosition[ 52407, 1421] WindowTitle->OneLoopSimplify WindowFrame->Normal*) @@ -81,7 +81,7 @@ OneLoopSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$192703], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$193711], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OneLoopSimplify", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1580551472], + CellID->649596718], Cell["", "SectionHeaderSpacer"], @@ -187,7 +187,7 @@ Cell[BoxData[ RowBox[{"ToPaVe", "\[Rule]", "False"}], ",", RowBox[{"UsePaVeBasis", "\[Rule]", "False"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{554, 72}, + ImageSize->{554, 73}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"OneLoopSimplify", @@ -213,7 +213,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1405242556], + CellID->1251869634], Cell[CellGroupData[{ @@ -223,7 +223,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1353084621], + CellID->2062258939], Cell[CellGroupData[{ @@ -608,245 +608,246 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJzt3XtUVNe9OPDk/v5pu1xtorWLlaoRJIBQsTBJgBihRC1GNBTktyIGXEti -r8sXQdL4jGk0EjQYRIJJJPFVLmgiJqGm+IwgDwU0gMhLCKCjDODMODDAvM+Z -C+hNZOacM/u8z4zfz1rtsnXc+/vdZ+/NnnM2+7gnvhXz3//1xBNPvP2r4f+K -Wb4xPCVl+ebFTw3/j/+f9PaqlUl/X/Fq0j/+vvLvKcGJ/2/4/6wd/s9PTz7x -xMifrQAAAIB4sL6qj/974azp7n9eur9xCBc7HAAAeJzpO//n0I/9mNXY+UXo -tMiLGn5qwUSd68WtHQAA0OEWnWV0yhqqTZq1onqAs4LN8iOLE8v6rNbB2qTQ -ZZf7OSvYCWoHAACWhm589PecdgNn5eGq04sXHFNYrIabO4PnnujBOCtZ+rUD -AAAr+EBD/pelKguHRQ5eW/3XtJsGq6Ur9y/Baa3cTfZc1m7supj7TdOgVG5t -YP21BfkVSrPYcQAAxITrb589eanXNDwnDN5u03IzMQ+vT0PmFalwY/uBcN+E -Kq2wC1Wk2s09hcnLvuDwqwEXdI2Z8ZsvqLn86QgAcCamu/kJ3h7efsN8/zT7 -3QYdJ6VaFMfCfcJeiU/enr43Sha1p7BTJ+BiFKV2THU6PnhNlVa4qNDg9y/G -B62q6JfK2h0AwAmLpvLIO7Hhczdl7FgT6Td+wozEk92svhPTKhBXnYmds7/T -xKZC5gGg1D48bYf5xF0hmpLFbbrhSfl8pM/Cs2qYlAFwKbj67PxnPJMvKC1W -TPn9oolPBR3vxqz40K1aObMlK1GBZuK9zSOTYsiGG9wsuSkDIMoIqfaBqiWe -gVkdhPM2g6bTdxTsyyknu+VAo+lGymre5u+XUs9x6wEAxNVX9rq777Ym/cif -B2tWuk+KLulVVB2M9gz6Us5o1Wdf4KUelnubzYoTiRFhNhasregjnPk4zUhT -Ej75hdwuwkmUfkXmrryIyT6ragaJK6PXdMb2jADPpVXc7UoEAIhvoDpxmnfy -g8WWvvn9GV4ryodnuuHhHvIyszmZqECMr73NqAEwz0h7OcZD9uktonWy2E1n -aNnhP31t3RCDmgAAEjVUl+TlsXx0qJu7ji+dve7M6EY35hMLSYEP/5Ljvc00 -AmCakbH9Y5nfOqKJT/Sm01bGec/KV8DWCwBch75pq6/bi2+kpGZmpW/fklV8 -7+FUwnhiISvQysveZhoBMM7I0JoaPOvz23YLZdGbznAzNXgOw/tLAABJMrbt -8p8aU6yxuy3LeFVJViAve5vpBMB8+YppSjdG77bd+yd20+Ha6q0xH9QMwK4L -AFyHqTM7cEpEkcp+XDOcWMgK5GdvM40A2MzJwwzyU5k5xT2PrJVFbjqDvCh7 -37luTvcQAgDEhOvvlB16032cW9SBMoVh7ExgUtflxU71Wl3Y3I++oKUqUBCc -ZzS2dKNKbcT5qYh202H6Xo0RVsgAAAAAAAA8riy9p1auq5bcb7YDAMBjyXL3 -X/MW8vUGBeCS5gIAmOro6KAeXzAnAwCA6H75bfoQn6cnzJxF/dv0AAAABAHr -ZAAAkA6YkwEAQDpgTgbSgZEenMv8k07K5RN8lFjJ8lHvY3XhgJMxyM+dbNDS -6JV6goNzcW3DyXNy23PViD7pUtASpN3C0iTW1eSjXvQ+DICw8IG6vSlf3aV1 -PAFOeHCu6e7XKXvrxp48Q/xJF4KQIJMWliaxriYf9aL3YQAEZbp9eNnOeoZn -j9senDtUv3PZYfujIwk+6XLIE2TVwtIk1tXko170PgwAe7iuLTfpFa+J4552 -f3nN0VaCF7HpW9Je296ot/+Xennp19nvrX+3RE34Dnsr8cG5+sbti9JabItD -O53Y2HUx95umQeIlCkI8vMP6awvyK5QEp6pRJUjcwpTJSgGzZPnER73ofRgA -LuiaMt7aX9lrNKmv7X/N7XczP2oz2nzC0LY79G/E9+ewnoIQtxl7frL9Jw+Q -nTmsuRgVOrYatNOJzT2Fycu+oFoCUccjEF1jZvzmC2NfI0qdIFELO05WEugn -yx8+6kXvwwBww9RTfKH7Ydcaqlvr8cdF5f1jP4Hd+25OwFvXCb9Xj7wT0++f -zYTrBfIzh4euJwXMO6XEHX9yTByq0/HBa6ooT3Ohikc4+P2L8UGrKvpREyRo -YZRkpYFusrzho170PgwAHwauLp8eYveWIH3jZv/AtFaiBdtA1fJp3in1Oov6 -h03zl2w7er6mC+X0XEPrh4F/fo/mzGlRHAvzibtCOUsxjIe6Xk3lkXdiw+du -ytixJtJv/IQZiSe7HZ33jt8/H+mz8KwasW77FkZJlklglBgWSDNZgaLiu0BG -fRgAWnBN6eo5b5fb/UK+tvL1aYGfdBI80BheVz/nueLS1cLDR4t+orF509T5 -iey5BJpPxgeqlngGZnVQPVdhGg81XH12/jOeyReUFium/H7RxKeCjndjVnzo -Vq2c4N77A/rmbf5+KfWISzX7FkZIllFg+o6CfTnlapJv9UQFmh1v0KWXLG1M -2p92gQhpjsWoDwNAA6a5nLb+YAtBL+8vj3xWduC2/VJC17DRe/yzAdNDc2g+ -gTbf/vx5j+jL9L6Ya0rCJ7+Q20VxkxA5nl/Oh3kE6fkwI/dDfLc1ja6IBmtW -uk+KLulVVB2M9gwif0GSsT0jwHNpFeKItW9hx8kyCszclRcx2WdVzSBqgZd6 -EDb90kvWKkT7U2KYpk0OTPowAKhwXVv+7oPXiX9fQXtlsYfss1t205yhZYff -lFcP7XnpD14biF5VT87UmS3zjKMxiEfDuBzjIfvUPgwO4qE0UJ04zTv5wSpQ -3/z+DK8VI18lHLy0bjgW/+lrUaOwb2GHyTINjG6BGMKmX3rJchGVKGmOxagP -A4DGeOffe3Oq+0a3j2F9Dd+dVox5nKyrX/+n5zPabR8xD4+KmZPn/6dX9UPc -JLdXT3TTeMptbPtI5r8B5SGMRXO14NvaPstofR/L/NaRj3wW8VAZqkvy8lg+ -OkrNXceXzl53RvUgGso5QVsZ5z0rX4EYg30LO0qWcWD0C3z4lxSbfukly01U -IqQ5FnofBoAei7Jolfevn3zioSd/459us5PMosgLlW1tevRpBjbUXvLlCvff -Tl35bbO6NS/i979yi8o4fxf1eZruxj8Cwr7qRthD3Fee4O2dUDr6pdbQmho8 -y+4JJBfxUNA3bfV1e/GNlNTMrPTtW7KK7z2cBajnBMPN1OA56DMGQQtTJMsm -MApkBVodbfqlmSw3UQmfpg30PgwA53QNm2YnVHJ456y/PPalTfSXGJimdGP0 -bkGXJsa2Xf5TY4o1dpM71ZyAa6u3xnxQQ+N3bwla2EGyjAKjQlqgg02/9JPl -JCqh07TDsA8DwInBH9cvSCfcDMeIsS0jMuVHkudM1AzyU5k5xT1C/VKrqTM7 -cEpEkcp+wiGfEwzyoux957rphUjYwhTJMgmMElmBDjb9MkqWfVRCp2mPRR8G -gAO6xg9j0ls4mpSN7Z8t2dXIeIWBG1VqowBb9XH9nbJDb7qPc4s6UKawuQti -UtflxU71Wl3Y3G+7oML0vRoG4ZG0MFGyDAMjR1UgNYbJso5K4DTtsezDALBm -UZ7dkHJeycHdM0x96d0t55SCH4Qgddy1MOAb9GEgBVjf1UNH6tie7osP3Mg7 -eq0PZh4C3LQw4Bv0YQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAGAKo/uCYJHKFBE0EQrXy8gZwVVwfnraLwgWp0wbmIC9zUmb -yOr8rWRPyIyckYsNvccTTvsFweKUabWa5UcWJ5b1Wa2DtUmhyy73c1MqAudp -IquLtdIo0TJyRi429B5v6C8IFqlMXHV68YJjCovVcHNn8NwTPcIflyv5JrK6 -YiuJn5EzcrGh9xii9YJgkcocvLb6r2k3DVZLV+5fgtO4exkhImdoIqsrthJi -Rsaui7nfNA1K5Xs11l9bkF+h5Ofd4Y6INPTgEnCG7guCxSlz+Ed0yLwiFW5s -PxDum1ClFfRntXM0kdUFWwktI3NPYfKyLzj+CsOWrjEzfvMFtdAvpBJp6MEl -4A7tFwSLU6ZFcSzcJ+yV+OTt6XujZFF7Cjt1gv08dpImstJuJUvvqZXrqrWc -VC1iRpjqdHzwmiqO8uAOfv9ifNCqin7BLoFVtKHnzJdAMBZN5ZF3YsPnbsrY -sSbSb/yEGYknu1mt4jkvkFaZuOpM7Jz9nSaWFTKsXawC6ZZJt5Usd/81b6GD -Z/PithJKRsNzRphP3BWi+UDkS4zfPx/ps/CsmmJGEOUS0CrT5S+BcHD12fnP -eCZfUFqsmPL7RROfCjrejVnxoVu1cmYrTKICzSw3Q6IGOdIvQjbc4PhV8U7b -RCRl0m4llAlB1FZCymigaolnYFYH4aTBIHh9R8G+nHKy77v0LrG+eZu/X0o9 -RfyML4Gkhp5TXwL2zIoTiRFhNhasreizya+v7HV3321N+pE/D9asdJ8UXdKr -qDoY7Rn0pZzRzyn7Ai/1sN0MyXWQqI3DT+0CNRHrMn9ppRCfpyfMnOXkraQp -CZ/8Qm4X4QimH7y5Ky9iss+qmkEugje2ZwR4Lq2y35HG9hJIbOg54yUQ3kB1 -4jTv5Ac/HvTN78/wWlE+fL2HAwx5mdlQIioQY7kZkvMgxa1dqCZiW+bPUBZp -0m8l7eUYD9mnt4gWaWIHb2jZ4T99bd0QeYFML4G0hp5TXwKhDNUleXksHw3O -3HV86ex1Z0Z3xjBvCpICH/4ls82QnAcpbu0CNhGrMn+BMCE4QSsZ2z+W+a0j -GnWiB6+tjPOela+geO7P/BKQVsoiEaYt49SXQCD6pq2+bi++kZKamZW+fUtW -8b2HyTNuCrICrSw2Q3IepLi1C9lEbMp8hOMJwSlaydCaGjzr89t2qzTRgzfc -TA2eQ10R80tAVimbRBi3jDNfAmEY23b5T40p1tjdnGL8c5CsQBabITkPkhbn -biJedgLTCUBKrTT8TzSlG6N32+77Ejt4XFu9NeaDmgF2j/ydZOi58iXggqkz -O3BKRJHKPhKGTUFWIJvNkJwHSYtTNxE/O4FpBCCpVnrAID+VmVPc88hCTeTg -DfKi7H3nutnu3nSioeeql4A1XH+n7NCb7uPcog6UKQxjYzep6/Jip3qtLmzu -R/+pSlWgZIIUt3ahm0gQTtFKYyswqtRG3GFdwgSP6Xs1RpZJOt/Qc7lLAAAA -AAAAAAAAAOAS5gIAAKCjo6ND7JkbAAAAFXqnMQAAAAAAAAAAAAAAScKQz4ZF -/6STcvkErY9Hjj8TK1k+6n2sLpxLMcjPnWzQ0rhieoLTUHFtw8lzctvzr4g+ -6VJcPkErao60e5E0iXVB+agXfZwCKcEH6vamfHWX1u+c44SnoZrufp2yt27s -cSLEn3QhLp+gFSlHJr1ImsS6oHzUiz5OgYSYbh9etrOe4YHStqehDtXvXHbY -/jxAgk+6HJdP0EqVI6teJE1iXVA+6kUfp4BvuK4tN+kVr4njnnZ/ec3RVoK3 -a+lb0l7b3qi3/5d6eenX2e+tf7dETfa2e6LTUPWN2xeltdgWh3aKrLHrYu43 -TYPEP74R4uEd1l9bkF+hJDgqy0UStDLNkbgXUeYrBWwvKPf4qBd9nAL+6Zoy -3tpf2Ws0qa/tf83tdzM/ajPafMLQtjv0b8T3rrCeghC3GXt+sv0nD5CdDau5 -GBU6thq0U2TNPYXJy76gWh5QxyMQXWNm/OYLY98N6VIJWpnkSNSLHOcrCcwv -KPf4qBd9nAIhmHqKL3Q/bPahurUef1xU3j/2E9i97+YEvHWd8DvnyIsO/f7Z -TPizlPxs2KHrSQHzTilxx58cE4fqdHzwmiqiN50jxSMc/P7F+KBVFf0um6CV -fo4EvQglX2lgeEG5x0e96OMUCG/g6vLpIXavftE3bvYPTGslWswMVC2f5p1S -r7Oof9g0f8m2o+drulCORDW0fhj45/doTiwWxbEwn7grlCOYYTzU9Woqj7wT -Gz53U8aONZF+4yfMSDzZ7egQb/z++UifhWfVtOp2pgSttHO070Uo+TKMjfMC -GV1Q3qPiu0BG4xRwCNeUrp7zdrndr4hrK1+fFvhJJ8HN/uF19XOeKy5dLTx8 -tOgnGhsbTZ2fyJ5LoPnUeKBqiWdgVgfVMwem8VDD1WfnP+OZfEFpsWLK7xdN -fCroeDdmxYdu1coJ7r0/oG/e5u+XUk9rGSOpBM2O96zSy9G+FyHky6jx9R0F -+3LK1STf6gVJljYmfYx2gQhpjsVonALOYJrLaesPthD0gP7yyGdlB27b/5jV -NWz0Hv9swPTQHJpPZ823P3/eI/oyvS+tmpLwyS/kdlHcQEOOh96JJSO3C3y3 -NY2uFgZrVrpPii7pVVQdjPYMIn/rjbE9I8BzaRWt3iyhBC/1IOyDpZejfS9y -nC9hbI4a39yVFzHZZ1XNIGqBPCRrFaKPUWKYpk0OTMYp4Aaua8vfffA68V5+ -7ZXFHrLPbtnNAoaWHX5TXj2056U/eG0gev84OVNntswzjt6MZdVejvGQfWof -BgfxUBqoTpzmnfxghaRvfn+G14qRrxIO3kQ2HIv/9LX0opBSghjCPlh6Odr3 -Iof5ksTmsPHpFsh9slxEJUqaYzEap4ALxjv/3ptT3Te6uwrra/jutGLMo1Zd -/fo/PZ/Rbvv4dbjHzJw8/z+9qh/iJrm9eqKbxhNgY9tHMv8NKA8oLJqrBd/W -9llG6/tY5reOfFSwiIfKUF2Sl8fy0R5s7jq+dPa6M6oH0VCOF21lnPesfIXj -GCSb4MO/pNgHi5zjKPte5Chf8tiYT1YCJctNVCKkORb6OAVcsiiLVnn/+skn -HnryN/7pNhutLIq8UNnWpkfv9GND7SVfrnD/7dSV3zarW/Mifv8rt6iM83dR -HzfpbvwjIOyrboQttn3lCd7eCaWjX/gMranBs+yeQHIRDwV901ZftxffSEnN -zErfviWr+N7DEUI9Xgw3U4PnII0mySZodbQPFj3HUQS9iCJf6tgYT1ZCJctN -VMKnaQN9nAKB6Ro2zU6o5PCuUn957Eub6P/4xTSlG6N3C/pj29i2y39qTLHG -bu6jGi+4tnprzAc19H8vVUoJOtgHSz9Hgl7kIF9GjU9FuGQ5iUroNO0wHKdA -AIM/rl+QTrgZjhFjW0Zkyo8kz2CoGeSnMnOKe4T6hU9TZ3bglIgilf1gJB8v -BnlR9r5z3QxDlEiCDvbBMsqRsBdR5Muk8SkJmSz7qIRO0x6LcQp4p2v8MCa9 -haNJ2dj+2ZJdjYx/+uJGldoowDZ2XH+n7NCb7uPcog6UKWxuEpjUdXmxU71W -Fzb32y42MH2vhl14UkiQGsMcSXoRUb4MG5+c4MmyjkrgNO2xHKeAZxbl2Q0p -55Uc3FnC1Jfe3XJOKfghAUB83PUiwDcYp9KH9V09dKSO7cm3+MCNvKPX+mBU -Pqa46UWAbzBOAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAQFQY3bcMAwAAcxjMMpT0tN8yTBtcAgAeb2b5kcWJZX1W62BtUuiy -y/1ixyNpOO23DKOASwAA+D+46vTiBccUFqvh5s7guSd64HBWFOhvGUYAlwAA -8LPBa6v/mnbTYLV05f4lOI309X7Grou53zQNSuV7NdZfW5BfoeTnjcWO0HrL -MALESwAAeAwML81C5hWpcGP7gXDfhCot4RrN3FOYvOwLrpaFHNE1ZsZvvqAW -+jU4dN8y7BjSJQAAPBYsimPhPmGvxCdvT98bJYvaU9ips1sKY6rT8cFrqrRE -/15M+P2L8UGrKvqFXLvTfsuwYyiXAADgtCyayiPvxIbP3ZSxY02k3/gJMxJP -dpN+xcdVZ2Ln7O+kfCH78JwR5hN3hWhKplUX58EPT8rnI30WnlWznMI4z4JW -mSiXAADgxHD12fnPeCZfUFqsmPL7RROfCjrebSbeVTsyH4RsuEG92BuoWuIZ -mNVBOGkQ1YVZ8aFbtXKyxZ6+o2BfTjnZLQcawY+U1bzN3y+lnu1ilV6lzMsk -ahmkSwAAcGJ9Za+7+25r0o/8ebBmpfuk6Es9bHbVakrCJ7+Q20U4idrXVdKr -qDoY7Rn0pZx4WWjuyouY7LOqZpCL4I3tGQGeS6vsd6SZFScSI8JsLFhb0Uc4 -uXLdYsRlOmoZAIBLGqhOnOad/GDtqG9+f4bXivI+jM2uWu3lGA/Zp7eI1slE -deEjM2XIy8xmHprBG1p2+E9fWzfEoCbmlTIuk1XLAACc01BdkpfH8tFJxNx1 -fOnsdWce2bPFaFetsf1jmd86oomPpC7mMw/d4LWVcd6z8hXs9j5w32I8tAwA -wDnpm7b6ur34RkpqZlb69i1Zxfd+Gf+Md9UaWlODZ31+226hTFYX45mHbvCG -m6nBc9hOcXy0GOctAwBwTsa2Xf5TY4o1drdNWe2qxTSlG6N32+77Iq2L6cxD -M3hcW7015oOaAXa7LvhoMc5bBgDgnEyd2YFTIopUtpMB+121BvmpzJzinkfW -ymR1MZ556AVvkBdl7zvXzXYLGR8txnnLAACcEK6/U3boTfdxblEHyhQGHn7r -ADeq1EbcYV0mdV1e7FSv1YXN/ehrS9rBY/pejZFlkny0GOctAwAAAAAAAAAA -AAAAkLC5AAAWOjo6xB7EAAAAqND7bXcAAAAAAAAAAAAAAB5vGPJ5vOifdF6P -Q44/EytZPup9rC4ccCYG+bmTDVoaXVJPcB4vrm04eU5ue+YY0SddDVqOtBtZ -msS6oHzUi96NARAQPlC3N+Wru7SOWsAJz+M13f06ZW/d2FN0iD/pWhByZNLI -0iTWBeWjXvRuDIBwTLcPL9tZz/AcddvzeIfqdy47bH8MJsEnXRF5jqwaWZrE -uqB81IvejQFgCde15Sa94jVx3NPuL6852krwUjl9S9pr2xv19v9SLy/9Ovu9 -9e+WqMleBk90Hq++cfuitBbb4tBO7jV2Xcz9pmmQeH2CEI8QsP7agvwKJcFR -aFQ5EjcyZb5SwCxZPvFRL3o3BoA1XVPGW/sre40m9bX9r7n9buZHbUabTxja -dof+jfjmHNZTEOI2Y89Ptv/kAbLzeDUXo0LHVoN2cq+5pzB52RdU6x/qeISj -a8yM33xh7FtRqXMkamTH+UoC/WT5w0e96N0YAA6YeoovdD/sV0N1az3+uKi8 -f+wnsHvfzQl46zrhl+qR12L6/bOZcLFAfh7v0PWkgHmnlLjjT46JQ3U6PnhN -lZYqG6p4BIXfvxgftKqiHzVHgkZGyVca6CbLGz7qRe/GAHBu4Ory6SF2bzzS -N272D0xrJVqtDVQtn+adUq+zqH/YNH/JtqPna7pQDuU1tH4Y+Of3aM6cFsWx -MJ+4K5RTFMN4qOvVVB55JzZ87qaMHWsi/cZPmJF4shvhhHb8/vlIn4Vn1YjV -2zcySr4MY+O8QJrJChQV3wUy6sYAoMM1pavnvF1u99v42srXpwV+0knwNGN4 -Xf2c54pLVwsPHy36icbOTVPnJ7LnEmg+Fh+oWuIZmNVB9VCFaTzUcPXZ+c94 -Jl9QWqyY8vtFE58KOt5tdrxnVd+8zd8vpR5xqWbfyAj5EseGWfGhW7VygucC -D+LqKNiXU64m+VYvSLK0MUiTfoEIaY7FqBsDgArTXE5bf7CFoIv3l0c+Kztw -234doWvY6D3+2YDpoTk0Hz+bb3/+vEf0ZXrfyjUl4ZNfyO2iuEOIHA+9w2FG -7of4bmsaXQ4N1qx0nxR9qQdhH6yxPSPAc2kV4oi1b2TH+RLGVtKrqDoY7RlE -9rolc1dexGSfVTWDqAXykKyV/SVwlKYDDNO0yYFJNwYACa5ry9998DrxLyto -ryz2kH12y26aM7Ts8Jvy6qE9L/3Ba0MdrS1cps5smWccjRE8GsblGA/Zp/Zh -cBAPpYHqxGneyQ+WgPrm92d4rSjvwxD2wQ6H4z99LWog9o3sMF+S2HA2r8AT -JlkuohIlzbEYdWMAEBjv/HtvTnXf6PYxrK/hu9OKMc+SdfXr//R8Rrvt8+Xh -ITFz8vz/9Kp+iJvk9uqJbhqPuI1tH8n8N6A8gbForhZ8W9tnGa3vY5nfOvJh -zyIeKkN1SV4ey0eHqLnr+NLZ6848siOKah+stjLOe1a+AjEM+0Z2lC95bMwn -K4GS5SYqEdIcC70bA0CDRVm0yvvXTz7x0JO/8U+32UlmUeSFyrY2PfooAxtq -L/lyhftvp678tlndmhfx+1+5RWWcv4v6PE134x8BYV91I+wh7itP8PZOKB39 -RmtoTQ2eZfcEkot4KOibtvq6vfhGSmpmVvr2LVnF936ZAqj3wRpupgbPQZ8x -CBqZIl/q2BhPVkIly01UwqdpA70bA8AtXcOm2QmVHN426y+PfWkT/fUFpind -GL1b0HWJsW2X/9SYYo3d5O5gHyyurd4a80ENjd+9JWhkB/mSxsZ0shIuWU6i -EjpNOwy7MQDsDf64fkE64WY4RoxtGZEpP5I8ZKJmkJ/KzCnuEeo3Wk2d2YFT -IopUtsPXwT5Yg7woe9+5bnpREjYyRb5ksTGerIRMln1UQqdpj0U3BoAtXeOH -MektHE3KxvbPluxqZLy8wI0qtVGAffq4/k7ZoTfdx7lFHShT0LoLgul7NQwi -JGlkonypYjOp6/Jip3qtLmzuR7+9K3iyrKMSOE17LLsxAOxYlGc3pJxXcnDr -DFNfenfLOaXgpyA4Ae4aGfANujEQHdZ39dCROrZH++IDN/KOXuuDaYcYN40M -+AbdGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AEZhdN/26wxcMikAwGNAT/ttv0xgwk6LAiQlcEaSqt0ZQYsBZ4HTftsvIrP8 -yOLEsj6rdbA2KXTZ5X7OCkbAT1JiZiR27c4IWgw4NfS3/aLBVacXLzimsFgN -N3cGzz3RI8pRtZwmJW5GkmhPpwItBpwYrbf9ohm8tvqvaTcNVktX7l+C07h7 -FyA6rpMSNyPE2o1dF3O/aRqUyhd1rL+2IL9Cyc/7sB2AFgPOiu7bfpEMr01C -5hWpcGP7gXDfhCqt0IsU7pMSNyOk2s09hcnLvuDwyw4XdI2Z8ZsvqAV/yRK0 -GHBStN/2i8SiOBbuE/ZKfPL29L1Rsqg9hZ06qoWIpffUynXVWk6qHsFDUjQz -4hhK7ZjqdHzwmiruWpEj+P2L8UGrKvqFXYlCiwGJsWgqj7wTGz53U8aONZF+ -4yfMSDzZzer7EK0CcdWZ2Dn7O5FfT2+5+695Cx1sj+A8I1pl0s1I+NqHJ6Ew -n7grRBOMuJ1heIo5H+mz8Kya5RTDeQ90+RYD0oKrz85/xjP5gtJixZTfL5r4 -VNDxbsyKD92qlTNb4BEVaCbeBjwyIEI23EBfnaLMyXQCYJUUUSvRzkj42geq -lngGZnUQzkIMOoO+o2BfTjnZF2h610LfvM3fL6Webetx3QNdv8WApPSVve7u -u61JP/LnwZqV7pOiS3oVVQejPYO+lDP6iW9f4KUeltuAzYoTiRFhI0J8np4w -c9boHxesregj7PU8BMB5K/2S0SNoZMSidk1J+OQXcrsIpwT6FZm78iIm+6yq -GSSujN61MLZnBHgurbLfksi2udh1AGdsMeC8BqoTp3knP/hBq29+f4bXivLh -jj58qUNeZjbbEBWIcbUNGGWdzEcAnLeSiLVrL8d4yD69RbTqE7szGFp2+E9f -WzfEoCbmlTrm8i0GpGSoLsnLY/noZTZ3HV86e92Z0T1hzDsVSYEP/5LtNmCE -OZmPADhvJTFrN7Z/LPNbRzSMRe8M2so471n5CnYbCbjvAK7eYkBK9E1bfd1e -fCMlNTMrffuWrOJ7D7sR405FVqCVm23AjudkPgLgvJXErd3Qmho86/Pbdss+ -0TuD4WZq8By27clHB3DtFgNSYmzb5T81plhjd1eO8RqMrEBe9jYLFADnrUQL -D7VjmtKN0bttN/6J3RlwbfXWmA9qBtjtIeCnB7pyiwEpMXVmB06JKFLZX1OG -nYqsQH72NgsUAOetRAtPtRvkpzJzinseWfmJ3BkM8qLsfee62e4h5K8HumqL -AcnA9XfKDr3pPs4t6kCZwjC2F5jUdXmxU71WFzb3oy8nqAoUBB8BcN5KEqod -N6rURpyfimhfC0zfqzGyvGa890CXazEAAAAAAAAAAAAAACjNBQC4uo6ODrFn -GgAAAAAAAAAAAAAAAAAASA7G8ixiyXP5BK2PR44/EytZPup9rC4cQKNnexax -1Ll8glbUHA3ycycbtE4/7sW6oHzUS1Qmrm04eU4urXcFAiHhXB2GLFUun6AV -KUd8oG5vyld3XeA8BbEuKB/1Epdpuvt1yt46OIzoccf6MGSpc/kErVQ5mm4f -Xraz3qUOSxfrgvJRr22ZQ/U7lx22P00USByua8tNesVr4rin3V9ec7SV9HV7 -uF5e+nX2e+vfLVETvljdinoUrbHrYu43TYPE9SDUwjusv7Ygv0JJcICXiyRo -ZZqjviXtte2Nepv/lzJfKWB7QbnHR71EZeobty9Ka7G9YEDadE0Zb+2v7DWa -1Nf2v+b2u5kftRnJPor1FIS4zdjzE/EH0I6iNfcUJi/7gmp5QF2LQHSNmfGb -L4x9Y6VLJWhlkqOhbXfo32zugDrOVxKYX1Du8VEvWZmai1GhFEMaSJCpp/hC -98NLNlS31uOPi8r7yT478qJGv382E/7URTuKFlOdjg9eU0X0/nWkWoSD378Y -H7Sqov/nxZ+rJWilnyN277s5AW9df/TOBUq+0sDwgnKPj3rJyxy6nhQw75RS -ut9hAKWBq8unhxC8zOb//rpq+TTvlHqdRf3DpvlLth09X9NF8zxai+JYmE/c -FcoRzL4Wgno1lUfeiQ2fuyljx5pIv/ETZiSe7HZ0tDh+/3ykz8Kzalp1O1OC -Vto56hs3+wemtT6yJEbJl2FsnBfI6ILyHhXfBRpaPwz883sSWAAABnBN6eo5 -b5cTv4jdOrqKfs5zxaWrhYePFv3EbAvkQNUSz8CsDqpnDhzUQgBXn53/jGfy -BaXFiim/XzTxqaDj3ZgVH7pVKye9f65v3ubvl1JPaxkjqQTNjves0stRW/n6 -tMBPOh/JDiFfRo2v7yjYl1OuJvlWL0iytDHpY7QLREhzLFPnJ7LnElxzm5Cr -wzSX09YfbCHvPbqGjd7jnw2YHprD/DmupiR88gu5XRQ30JBrMStOJEaE2Viw -toL4R8rI7QLfbU2jq4XBmpXuk6JLehVVB6M9g8jfxWNszwjwXFpFqzdLKMFL -PQj7YOnl2F8e+azswO1HGsxxvoSxOWp8c1dexGSfVTWDqAXykKxViD5GiWGa -Njnc/vx5j+jLTnBzCYyB69rydx+8TvV7AIaWHX5TXj2056U/eG0gen86Eu3l -GA/Zp7fIJyNOarE3UJ04zTv5wQpJ3/z+DK8VI18HHLwfbTgW/+lr6UUhpQQx -hH2w9HLUXlnsIfvs0ewc5ksSm8PGp1sg98lyEZUoaY5l6syWecbRW1kA0Rnv -/HtvTnXf6M4srK/hu9MK+8e0w31r5uT5/+lV/RA3ye3VE900nhVbNFcLvq3t -s4yW8rHMbx35qGBRC5WhuiQvj+WjPdjcdXzp7HVnVA+ioRwv2so471n5Cscx -SDbBh39JsQ8WOcdRuvr1f3o+o/2R3uEoX/LYmE9WAiXLTVQipDmWse0jmf8G -wR5gAg5YlEWrvH/95BMPPfkb/3TbTVrYUHvJlyvcfzt15bfN6ta8iN//yi0q -4/xd1AdTfeUJ3t4JpaNf+AytqcGziJ8isqyFgr5pq6/bi2+kpGZmpW/fklV8 -7+EIoR4vhpupwXOQRpNkE7Q62geLnuMoiyIvVLa16dHnRRT5UsfGeLISKllu -ohI+TRu6G/8ICPuqW8yt8EDaME3pxujdgv7YNrbt8p8aU6yxm/uoxguurd4a -80EN/d9LlVKCDvbB0s9R17BpdkLlmHuTDvJl1PhUhEuWk6iETtNOf3nsS5tg -mQwoGeSnMnOKe4T6hU9TZ3bglIgilf1gJB8vBnlR9r5z3QxDlEiCDvbBMspx -8Mf1C9Jbbb4zU+TLpPEpCZks+6iETtOesS0jMuVHkmelAPwMN6rURgG2seP6 -O2WH3nQf5xZ1oExhc5PApK7Li53qtbqwud92sYHpezXswpNCgtQY5qhr/DAm -vcXuRiZRvgwbn5zgybKOSuA07RnbP1uyqxFWyQC4Lovy7IaU80q4P+kEMPWl -d7ecUwp+mAcAQEhY39VDR+qc//xkV4cP3Mg7eq0PfnoCAAAAAAAAJO1/AXTF -Kdc= +1:eJztnXtUVPX6/+v3+6dzlutYejyLOmqCBChHPDAVkKmH1KOJxgFpJYauJXm+ +Lm+EVF6zkyahYUiEpZa3w0+0jGUcO6hoAoIGaILITQiBUQZwZhxmgLnvPT9A +vyUze+/5fPZt9ozPa61aFJvP87yfz2Wevfczn493wtsx//N/HnvssXee6P9X +zNL1EcnJSzcueLL/P15PfGfF8sR/Lns18d1/Lv9ncljC/+3/n5X9//zy+GOP +DfxsAwAAAADXQXSXf/o/86ZM8P7roj21faSr3QEAAHiUMbT8v4M/awmbqeWr +aeMjL2iEsUK4dK13rXUAAAB0SKveOrhk9VUmTllW0cNbwxb54QUJJd02W29l +4rQll7W8NewG1gEAADjSd+OTf+5vNvLWHqk6vWDuMYXVZry5PWzmiU6Ct5al +bx0AAIATZE9NztcXVVYem+y9uvLvqTeNNmt79t/CUhv5W+z5tG5qv5B9sr5X +Ko82CG1lbs4lpcXVfgAA4EpIQ9vZ3OIuc/+a0NvWpONnYe7PT8Nn5atIU/O+ +iImLy3XiJqpI1i2deUlLvuLx1oAP9LUZ8RvPq/n8dAQAwJ0w38lZ7O/jH9jP +xL9Mfb9Gz0urVsWxiIDpr8QnbU3bHSWL2pXXohcxGUWxTqhOx4etKteJ5xUa +5L0L8aErLmmlkrsDAMALVk3Z4fdiI2ZuSN+2KjJwxMhJCbkdnO6JsRokVWdi +Z+xpMXMxyN4BFOv9y/b0gLifqJZk14auf1E+Fxkw76waFmUA8ChI9dk5z/gm +nVdabYTyh/mjngw93kHYyL7WSjm7lJWqQQt1bfPAohi+7gY/KTejA1SKkKz3 +lC/0Dcm8RbluswmdRdt+10j3S4zQ9WOo3xIUmFzNc/QAAHAt3SVveE/cUmcY ++Ln32nLv0dFFXYryA9G+oV/LWWV9jg0Wd3KsbbYoTiTMnm7H3NWXuikXN14V +aYoixryQ3U753BbfkLltr2z4069Tpt2UDTKFztScHuy7qJy/qkQAAFxPT0XC +eP+k+8mWof7DSX7LSvtXuv7pHv4yuzWZqkFCqNpmVAfYK9JdjvGRfdFKlSez +MWTVVBYUt9Jk0ZihMzZsC5qwuqoPVxIAANKlryrRz2fp4FS3tB9fNHXNmcFC +N/ZrMk2DD37Jc20zhgNsFZmaP5UFrqFa+FweOl1ZnP+UHAWUXgCA52Co2zzR +68U3k1MyMtO2bsosvPtgKWG9sNA1aBOkthnDAdaKjI0pYVP2tjkkyi4PnfFm +StgMls+XAACQJKamHUHjYgo1DrfSrLNKugYFqW3GcYB9+kpoLq6P3mlf++fq +0JG6is0xH13rgaoLAPAczC1ZIWNn56sc5zXLhYWuQWFqmzEc4LIm92OUn8rY +X9j5UK7s4tAZ5flZnxV08FpDCACAKyENt0sOvuU9zCtqX4nCrjjLrK46GjvO +b2VevRY9oWVqUBR4VzS0dZNKbSKFMYQdOsLQpTFBhgwAAAAAAAAAjyrWrlPL +11RI7pvtAAAAjyTWO/+eNU+oExQAj2QmAABsuXXrFvP8gjUZAADA5fz2bfrw +gKdGTp7C/G16AAAAQBQgTwYAAJAOsCYDAABIB1iTAelA0G6cy/5KN8XjBT6M +q8QKYfeR6jjAzTDKC3JrdBij0kCxcS6pq8ktkNvvq0Z1pUeBJhA7wtLEVb0p +hF30MQwA4kL2VO1O/uYO1vYEJOXGueY73ybvrhq68wz1lR4EgkA2EZYmrupN +Ieyij2EAEBVz26El26tZ7j1uv3FuX/X2JYcct46kuNLjoBfIKcLSxFW9KYRd +9DEMANwh9U3Zia/4jRr2lPfLq440UhwhYWhIfW1rrcHxLw3yi99mfbD2/SI1 +5Rn2NuqNcw21W+enNtg3h7Y7san9QvbJ+l7qFAXBH8EhtJW5OZeUFLuqMQmk +jjCjWCnATqyQCGEXfQwDAB/o69Lf3lPWZTKrr+55zWv45E+aTHZXGJt2TvsH +9fM5ovO7cK9Ju36x/5P70O05rLkQNW2oGbTdiS2deUlLvmJKgZj9EQl9bUb8 +xvPqISKYBVJF2LlYSYAvVjiEsIs+hgGAH8ydhec7HgytvqrVPn+eX6odegVx +9/sZwW9fp7yvHjgTM/Bf9ZT5Av2ew33XE4NnnVKSzq8c4ofqdHzYqnLG3VyY +/BEP8t6F+NAVl7SoAikijCJWGuCKFQwh7KKPYQAQgp4rSyeEO5wSZKjdGBSS +2kiVsPWULx3vn1ytt6p/3DBn4ZYj5661o+yea2z8OOSvH2CunFbFsekBcXQH +JnPyh9mupuzwe7ERMzekb1sVGThi5KSE3A5n+72T985FBsw7q0a07RhhFLFs +HGOEZYOYYkXySugGWY1hAMCC1FxcOeOdUocv5OvK3hgf8nkLxQuN/rz6Od9l +xVfyDh3J/wWjeNPc8rnsucWYb8Z7yhf6hmTeYnqvwtYfZkj12TnP+CadV1pt +hPKH+aOeDD3eQdjIvtZKOc3xzQOHNm8JCkyuRkzVHCOMIJadYxZt+13ajymq +Bi3OC3TxxGLDRiZ2gwgyh8JqDAMABkT35dS1BxooRrm2NPJZ2b42x1RCX7Pe +f8SzwROm7cd8A21p2/u8T/RlvBtzTVHEmBey2xkeEiL789v+MA9Buz/MwPOQ +iVvqBjOi3mvLvUdHF3Upyg9E+4bSH5Bkak4P9l1UjjhjHSPsXCwrx8xte2XD +n36dLv92bLC4E6HoF0+sTYz4M8JSpp0GNmMYAFAh9U05Ow9cp/6+gu6nBT6y +L1sdljljw7bAsa8e3PXSn/zWUR1VT4+5JUvmG4cxiQfduBzjI/vC0Q0e/GGk +pyJhvH/S/SzQUP/hJL9lA7cSTg6t6/claMJqVC8cI+xULEvHrJrKguJWmvSS +qkECoegXTywurOKP2yCKzKGwGsMAgIbp9n9276/oHiwfI7prvj+tGPI6WV+9 +9i/Ppzfbv2LunxWTx8z5b5fqx7jRXq+e6MB4y21q+kQWtA7lJYxVc+W7k5Xd +1kF7n8oC19DPfA7+MNFXlejns3Rwllrajy+auuaM6r43jGuCrizOf0qOAtEH +xwg7E8vaMfwGH/ySoegXTyw/XrlA5lDQxzAA4GFV5q/w/93jjz3g8d8HpdlV +klkVR6fJNtc9/DaD6Gsu+nqZ9x/GLT9Zr248OvuPT3hFpZ+7g/o+TX/j3eDp +33Qg1BB3ly729198cfCm1tiYEjbF4Q0kH/4wYKjbPNHrxTeTUzIy07Zuyiy8 ++2AVYF4TjDdTwmagrxgUEWYQy8UxBugatDkr+sUUy49X4su0A30MAwDv6Gs2 +TF1cxuOTM21p7Esb8FMMQnNxffROUVMTU9OOoHExhRqHxZ1pTSB1FZtjPrqG +8d1bigg7EcvKMSZoG3RS9IsvlhevxJbpAMsxDAC80Pvz2rlplMVwrDA1pUcm +/9zL5k+N8lMZ+ws7xfpSq7klK2Ts7HyV44JDvyYY5flZnxV04LlIGWEGsWwc +Y4SuQSdFv6zEcvdKbJmOcBjDAMAD+tqPY9IaeFqUTc1fLtxRyzrDIE0qtUmE +Un3ScLvk4Fvew7yi9pUo7J6CmNVVR2PH+a3Mq9faJ1SEoUvDwj2aCFOJZekY +PUwNMsNSLGevRJbpCMcxDACcsSrPrks+p+Th6RmhLn5/U4FS9I0QpA5/EQaE +BsYwIAWI7isHD1dx3d2X7Llx9MjVblh5KOAnwoDQwBgGAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgC4F7QLCL +2nQhECIUPE+ROwK94P4YsA8Idk2bdhAijjY3DZHN/aPkiJiK3BEPm3qPJiT2 +AcGuadNms8gPL0go6bbZeisTpy25rOWnVQTcJ0Q2D4vSIC5T5I542NR7tEE/ +INhFbZKq0wvmHlNYbcab28NmnugUf7tcyYfI5olRcr0id8TDpt4jCNYBwS5q +s/fqyr+n3jTarO3ZfwtL5e8wQkTcIUQ2T4wSoiJT+4Xsk/W9UrmvJrSVuTmX +lMKcHe4MF0096ALewD0g2DVt9n9Eh8/KV5Gm5n0RExeX60T9rHaPENk8MEpo +iiydeUlLvuL5FoYr+tqM+I3n1WIfSOWiqQddwB/YBwS7pk2r4lhEwPRX4pO2 +pu2OkkXtymvRi/Z57CYhsmFHydp1avmaCh0vpl2oiFCdjg9bVc6TDv4g712I +D11xSStaF9hcNvXcuQtEw6opO/xebMTMDenbVkUGjhg5KSG3g1MWz3uDWG2S +qjOxM/a0mDkaZGndVQ3itokbJeudf8+a5+TdvGujhKKof82YHhD3E9V64OIu +Ju+diwyYd1bNsCK4pAuw2vT4LhAPUn12zjO+SeeVVhuh/GH+qCdDj3cQNrKv +tVLOLsOkatDCsRgS1cmBcRG+7gbPR8W7bYho2sSOEsqC4NIoISnqKV/oG5J5 +i3LRYOO8Rdt+10j3S7wuNtRvCQpMrmbwn3UXSGrquXUXcMeiOJEwe7odc1df +6raT0F3yhvfELXWGgZ97ry33Hh1d1KUoPxDtG/q1nNXnlGODxZ1ciyH5dhI1 +OMJYFylEnNv8LUrhAU+NnDzFzaOkKYoY80J2O+VDQ3znzW17ZcOffp0y58N2 +3tScHuy7qNyxIo1rF0hs6rljF4hPT0XCeP+k+x8PhvoPJ/ktK+3v734Hw19m +N5WoGiQ4FkPy7qRrrYsVIq5t/gpKkib9KOkux/jIvmilStLYOG/VVBYUt9Kk +cJjOGxu2BU1YXdVH7zzbLpDW1HPrLhCLvqpEP5+lg85Z2o8vmrrmzGBlDPup +RNPgg1+yK4bk3UnXWhcxRJza/A2EBcENomRq/lQWuIZq1rnceV1ZnP+UHAXD +e3/2XUBrlIMQtpFx6y4QCUPd5oleL76ZnJKRmbZ1U2bh3QfiWYeCrkEbh2JI +3p10rXUxQ8SlzYdwviC4RZSMjSlhU/a2OWRpLnfeeDMlbAazIfZdQGeUixDW +kXHnLhAHU9OOoHExhRqH5J/15yBdgxyKIXl3Egv3DpEglcA4DkgpSv1/orm4 +Pnqnfd2Xq50ndRWbYz661sPtlb+bTD1P7gI+MLdkhYydna9y9IRlKOga5FIM +ybuTWLh1iISpBMZwQFJRuo9Rfipjf2HnQ4mai503yvOzPivo4Fq96UZTz1O7 +gDOk4XbJwbe8h3lF7StR2JWTmNVVR2PH+a3Mq9eif6oyNSgZJ11rXewQiYJb +RGmoAZNKbSKd2hLHecLQpTFxFOl+U8/jugAAAAAAAAAAAAAAAMAjmAkAAADg +cOvWLVev3AAAAAATeLsxAAAAAAAAAAAAAAAAAJKEQN4bFv1KN8XjBdoeDY2/ +4iqxQth9pDrOozDKC3JrdBg9ZqDYDZXU1eQWyO33v6K60qPweIE2VI3Yo0ia +uKpDhbCLPk8BKUH2VO1O/uYO1nfOScrdUM13vk3eXTV0OxHqKz0IjxdoQ9LI +ZhRJE1d1qBB20ecpICHMbYeWbK9muaG0/W6ofdXblxxy3A+Q4kqPw+MF2pg0 +chpF0sRVHSqEXfR5CggNqW/KTnzFb9Swp7xfXnWkkeJcAEND6mtbaw2Of2mQ +X/w264O17xep6U67p9oN1VC7dX5qg31zaLvImtovZJ+s76X++EbwR3AIbWVu +ziUlxVZZHiLQxlYj9Shi1CsFuHYo/whhF32eAsKjr0t/e09Zl8msvrrnNa/h +kz9pMtldYWzaOe0f1M+uiM7vwr0m7frF/k/uQ7c3rOZC1LShZtB2kbV05iUt ++YopPWD2RyT0tRnxG8+rh4jwKIE2NhqpRpFzvZKAfYfyjxB20ecpIAbmzsLz +HQ/C3le12ufP80u1Q68g7n4/I/jt65T3nAMHHQb+q57ys5R+b9i+64nBs04p +SedXDvFDdTo+bFU5zZGLzv0RD/LehfjQFZe0HivQhq+RYhSh6JUGLDuUf4Sw +iz5PAfHpubJ0QrjD0S+G2o1BIamNVMlMT/nS8f7J1Xqr+scNcxZuOXLuWjvK +lqjGxo9D/voB5sJiVRybHhBHdwouJ3+Y7WrKDr8XGzFzQ/q2VZGBI0ZOSsjt +cLaJN3nvXGTAvLNqLNvuJNCGrdFxFKHoZekb7w2y6lDBvRK6QVbzFOARUnNx +5Yx3Sh2+Iq4re2N8yOctFA/7+/Pq53yXFV/JO3Qk/xeMwkZzy+ey5xZjvjXu +KV/oG5J5i+mdA1t/mCHVZ+c845t0Xmm1Ecof5o96MvR4B2Ej+1or5TRn8g6c +xLslKDC5GiuNkZRAi/OaVTyNjqMIQS+74Fu07XdpP6lEEYsNG5nYDSLIHAqr +eQrwBtF9OXXtgQaKEaAtjXxWtq/N8WNWX7Pef8SzwROm7cd8O2tp2/u8T/Rl +vJtWTVHEmBey2xkeoCH7g7djycDjgolb6gazhd5ry71HRxd1KcoPRPuG0p96 +Y2pOD/ZdVI41miUksLgToQ4WT6PjKHKul9I3Z8E3t+2VDX/6dbr8WxSxNjHG +GCMsZdppYDNPAX4g9U05Ow9cp67l1/20wEf2ZavDKmBs2BY49tWDu176k986 +qvPH6TG3ZMl84/BWLJvucoyP7AtHN3jwh5GeioTx/kn3MyRD/YeT/JYN3Eo4 +OYms35egCavxvJCSQAKhDhZPo+MocqqXxjdnwbdqKguKW2nSS3HE4sJqjOE2 +iCJzKKzmKcAHptv/2b2/onuwuororvn+tGLIq1Z99dq/PJ/ebP/6tX/ETB4z +579dqh/jRnu9eqID4w2wqekTWdA6lBcUVs2V705WdlsH7X0qC1xDPys4+MNE +X1Win8/SwRFsaT++aOqaM6r73jDOF11ZnP+UHIVzHyQr8MEvGepgkTUO4jiK +nOml9439YiWSWH68coHMoaDPU4BPrMr8Ff6/e/yxBzz++6A0u0Irq+LoNNnm +uoef9BN9zUVfL/P+w7jlJ+vVjUdn//EJr6j0c3dQXzfpb7wbPP2bDoQS2+7S +xf7+iy8O3vAZG1PCpji8geTDHwYMdZsner34ZnJKRmba1k2ZhXcfzBDm+WK8 +mRI2A2k2SVagzVkdLLrGQShGEYNeZt9YL1ZiieXHK/Fl2oE+TwGR0ddsmLq4 +jMenStrS2Jc24H/8EpqL66N3ivqxbWraETQuplDjsPYxzRdSV7E55qNr+N9L +lZJAJ3Ww+BopRpETvayCz4R4YnnxSmyZDrCcp4AI9P68dm4aZTEcK0xN6ZHJ +P/ey+VOj/FTG/sJOsb7waW7JChk7O1/lOBnp54tRnp/1WUEHSxclItBJHSwr +jZSjiEEvm+AzIqZY7l6JLdMRDvMUEBx97ccxaQ08Lcqm5i8X7qhl/elLmlRq +kwhl7KThdsnBt7yHeUXtK1HYPSQwq6uOxo7zW5lXr7VPNghDl4abe1IQyAxL +jTSjiEovy+DTI7pYzl6JLNMRjvMUEBir8uy65HNKHp4sEeri9zcVKEXfJABw +PfyNIkBoYJ5KH6L7ysHDVVx3viV7bhw9crUbZuUjCj+jCBAamKcAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAu +hcA9ZRgAAIA9BKwyjBiwTxnGBroAAB5tLPLDCxJKum223srEaUsua13tj6Qh +sU8ZRgG6AACA/4VUnV4w95jCajPe3B4280QnbM6KAvopwwhAFwAA8Cu9V1f+ +PfWm0WZtz/5bWCrt8X6m9gvZJ+t7pXJfTWgrc3MuKYU5sdgZWKcMI4DYBQAA +PAL0p2bhs/JVpKl5X8TExeU6yhzN0pmXtOQrvtJCntDXZsRvPK8W+xgc3FOG +nYPUBQAAPBJYFcciAqa/Ep+0NW13lCxqV16L3iEVJlSn48NWleuo/t6VkPcu +xIeuuKQVM3fHPmXYOShdAACA22LVlB1+LzZi5ob0basiA0eMnJSQ20F7i0+q +zsTO2NPCeCB7/5oxPSDuJ6olGcsW7873L8rnIgPmnVVzXMJ4V4HVJkoXAADg +xpDqs3Oe8U06r7TaCOUP80c9GXq8w0JdVTuwHoSvu8Gc7PWUL/QNybxFuWhQ +2SJsZF9rpZw22bNo2+/SnqeO4Xw/hvotQYHJ1VyTVTyj7NukigxSFwAA4MZ0 +l7zhPXFLnWHg595ry71HRxd3cqmq1RRFjHkhu53ywamjraIuRfmBaN/Qr+XU +aaG5ba9s+NOvU6bd2M6bmtODfReVO1akWRQnEmZPt2Pu6kvdlIsr3xGjbtNZ +ZAAA8Eh6KhLG+yfdzx0N9R9O8ltW2k1wqarVXY7xkX3RSpUnU9kiB1bK8Jdp +Vx6rprKguJUmi8Z03tiwLWjC6qo+LD1cjbJu01lkAADwQPqqEv18lg4uIpb2 +44umrjnzUM0Wq6paU/OnssA1VAsfjS32Kw+u87qyOP8pOQputQ/8R0yAyAAA +4J4Y6jZP9HrxzeSUjMy0rZsyC+/+Nv9ZV9UaG1PCpuxtc0iU6WyxXnlwnTfe +TAmbwXWJEyJivEcGAAD3xNS0I2hcTKHG4ckAp6paQnNxffRO+7ovWltsVx5M +50ldxeaYj671cKu6ECJivEcGAAD3xNySFTJ2dr7KfjHgXlVrlJ/K2F/Y+VCu +TGeL9cqD57xRnp/1WUEH1xIyISLGe2QAAHBDSMPtkoNveQ/zitpXoqCtNeNi +wKRSm0intszqqqOx4/xW5tVr0XNLbOcJQ5fGxFGkEBHjPTIAAAAAAAAAAAAA +AAAAAEiYmQAAcODWrVuunsQAAAAAE3jfdgcAAAAAAAAAAAAAAACARxsCeT9e +9Cvdl0dB46+4SqwQdh+pjgPcCaO8ILdGhzEkDRT78ZK6mtwCuf2eY1RXehpo +GrGDLE1c1aFC2EUfxgAgImRP1e7kb+5gbbVAUu7Ha77zbfLuqqG76FBf6Vkg +aGQTZGniqg4Vwi76MAYA8TC3HVqyvZrlPur2+/H2VW9fcshxG0yKKz0Reo2c +gixNXNWhQthFH8YAwBFS35Sd+IrfqGFPeb+86kgjxXEYhobU17bWGhz/0iC/ ++G3WB2vfL1LTHQZPtR+voXbr/NQG++bQdu41tV/IPlnfS52fIPgjBoS2Mjfn +kpJiKzQmjdRBZtQrBdiJFRIh7KIPYwDgjL4u/e09ZV0ms/rqnte8hk/+pMlk +d4Wxaee0f1A/nCM6vwv3mrTrF/s/uQ/dfryaC1HThppB27nX0pmXtOQrpvyH +2R/x0NdmxG88rx6ig1kjVZCd65UE+GKFQwi76MMYAHjA3Fl4vuPBuOqrWu3z +5/ml2qFXEHe/nxH89nXKm+qBYzED/1VPmSzQ78fbdz0xeNYpJen8yiF+qE7H +h60qpzlp1Lk/okLeuxAfuuKSFlUjRZBR9EoDXLGCIYRd9GEMALzTc2XphHCH +E48MtRuDQlIbqbK1nvKl4/2Tq/VW9Y8b5izccuTctXaUTXmNjR+H/PUDzJXT +qjg2PSCO7vBnTv4w29WUHX4vNmLmhvRtqyIDR4yclJDbgbBDO3nvXGTAvLNq +RPOOQUbRy9I33hvEFCuSV0I3yGoYAwA6pObiyhnvlDp8G19X9sb4kM9bKN5m +9OfVz/kuK76Sd+hI/i8YlZvmls9lzy3GfC3eU77QNyTzFtNLFbb+MEOqz855 +xjfpvNJqI5Q/zB/1ZOjxDovzmlVD/ZagwORqxFTNMcgIeql9I2xkX2ulnOaY +bJvNom2/S/tJJYpYbNjIxG4QQeZQWA1jAECF6L6cuvZAA8UQ15ZGPivb1+aY +R+hr1vuPeDZ4wrT9mK+fLW17n/eJvox3V64pihjzQnY7wxNCZH/wNocZeB4y +cUvdYDrUe2259+jo4k6EOlhTc3qw76JyxBnrGGTneil9K+pSlB+I9g2lO27J +3LZXNvzp1+nyb1HE2rh3gTOZTmAp004Dm2EMAEiQ+qacnQeuU39ZQffTAh/Z +l60Oy5yxYVvg2FcP7nrpT37rqrBKuMwtWTLfOIwZPOjG5Rgf2ReObvDgDyM9 +FQnj/ZPup4CG+g8n+S0r7SYQ6mD73QmasBrVEccgO9VL4xvp5Ag8q6ayoLiV +Jr0URywubGRiN4gicyishjEAIGC6/Z/d+yu6B8vHiO6a708rhrxL1lev/cvz +6c3275f7p8TkMXP+26X6MW6016snOjBecZuaPpEFrUN5A2PVXPnuZGW3ddDe +p7LANfTTnoM/TPRVJfr5LB2copb244umrjnzUEUUUx2srizOf0qOAtENxyA7 +00vvG/vFSiSx/HjlAplDQR/GAICBVZm/wv93jz/2gMd/H5RmV0lmVRydJttc +9/CrDKKvuejrZd5/GLf8ZL268ejsPz7hFZV+7g7q+zT9jXeDp3/TgVBD3F26 +2N9/8cXBO1pjY0rYFIc3kHz4w4ChbvNErxffTE7JyEzbuimz8O5vSwBzHazx +ZkrYDPQVgyLIDHqZfWO9WIkllh+vxJdpB/owBgB+0ddsmLq4jMfHZtrS2Jc2 +4OcXhObi+uidouYlpqYdQeNiCjUOi7uTOlhSV7E55qNrGN+9pQiyE720vrFd +rMQTy4tXYst0gOUwBgDu9P68dm4aZTEcK0xN6ZHJP/ey+VOj/FTG/sJOsb7R +am7JChk7O19lP32d1MEa5flZnxV04HlJGWQGvXS+sV6sxBTL3SuxZTrCYRgD +AFf0tR/HpDXwtCibmr9cuKOWdXpBmlRqkwh1+qThdsnBt7yHeUXtK1FgPQUh +DF0aFh7SBJlKL5NvZnXV0dhxfivz6rXoj3dFF8vZK5FlOsJxGAMAN6zKs+uS +zyl5eHRGqIvf31SgFH0XBDeAvyADQgPDGHA5RPeVg4eruG7tS/bcOHrkajcs +O9TwE2RAaGAYAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAADELgnvbrDnikKAAAHgEM2Kf9soEQd1kUQZTIiiRl +3R2BiAHuAol92i8iFvnhBQkl3TZbb2XitCWXtbw1jIAwolypyNXW3RGIGODW +oJ/2iwapOr1g7jGF1Wa8uT1s5olOl2xVy6so1yqSRDzdCogY4MZgnfaLRu/V +lX9PvWm0Wduz/xaWyt9ZgOjwLcq1ihCtm9ovZJ+s75XKjTqhrczNuaQU5jxs +J0DEAHcF97RfJPpzk/BZ+SrS1LwvYuLicp3YSQr/olyrCMm6pTMvaclXPN7s +8IG+NiN+43m16IcsQcQANwX7tF8krIpjEQHTX4lP2pq2O0oWtSuvRc+UiFi7 +Ti1fU6HjxfQAAojCVMQzKNYJ1en4sFXl/EWRJ8h7F+JDV1zSipuJQsQAiWHV +lB1+LzZi5ob0basiA0eMnJSQ28HpfgirQVJ1JnbGnhbk4+mtd/49a56T8gje +FWG1iatIfOv9i9D0gLifqBYY1w6G/iXmXGTAvLNqjksM7yPQ4yMGSAtSfXbO +M75J55VWG6H8Yf6oJ0OPdxA2sq+1Us4uwaNq0EJdBjwwIcLX3UDPTlHWZBwH +OImiihK2IvGt95Qv9A3JvEW5CrEZDBZt+10j3S/x+sJQvyUoMLmaa/T4HoGe +HzFAUnSXvOE9cUudYeDn3mvLvUdHF3Upyg9E+4Z+LWf1ie/YYHEnxzJgi+JE +wuzpA4QHPDVy8pTBH+euvtRNObAFcID3KP2m6CEwFHGwrimKGPNCdjvlU0h8 +Q+a2vbLhT79OmURSNsjUF6bm9GDfReWOJYlcw8VtALhjxAD3paciYbx/0v0P +WkP9h5P8lpX2D/T+rg5/md1qQ9UgwVcZMEqeLIQDvEfJhdZ1l2N8ZF+0UmV9 +bAxZNZUFxa00OSFmXxgbtgVNWF3VhyuJk1HneHzEACnRV5Xo57N0sJst7ccX +TV1zZrAmjP1qQ9Pgg19yLQNGWJOFcID3KLnSuqn5U1ngGqpp7PLBoCuL85+S +o+BWSMD/APD0iAFSwlC3eaLXi28mp2Rkpm3dlFl498EwYj2o6Bq08VMG7HxN +FsIB3qPkWuvGxpSwKXvbHNI+lw8G482UsBlc4ynEAPDsiAFSwtS0I2hcTKHG +4TaKdQ5G16Agtc0iOcB7lLAQwDqhubg+eqd94Z+rBwOpq9gc89G1Hm41BMKM +QE+OGCAlzC1ZIWNn56sc+5TloKJrUJjaZpEc4D1KWAhk3Sg/lbG/sPOhzM/F +g8Eoz8/6rKCDaw2hcCPQUyMGSAbScLvk4Fvew7yi9pUo7ApzzOqqo7Hj/Fbm +1WvR0wmmBkVBCAd4j5KErJMmldpECmMIuy8IQ5fGxLHPBB+BHhcxAAAAAAAA +AAAAAAAAAGBkJgAAns6tW7dcvdIAAAAAAAAAAAAAAAAAAAAAACA5CI57EUse +jxdoezQ0/oqrxAph95HqOAANA9e9iKWOxwu0oWo0ygtya3RuP+9d1aFC2KVq +k9TV5BbIpXVWICAmJF+bIUsVjxdoQ9JI9lTtTv7mjgfsp+CqDhXCLnWb5jvf +Ju+ugs2IHnU4b4YsdTxeoI1Jo7nt0JLt1R61WbqrOlQIu/Zt9lVvX3LIcTdR +QOKQ+qbsxFf8Rg17yvvlVUcaac8LIw3yi99mfbD2/SI15cHqNtStaE3tF7JP +1vdS20GwIjiEtjI355KSYgMvDxFoY6vR0JD62tZag93/ZdQrBbh2KP8IYZeq +TUPt1vmpDfYdBkgbfV3623vKukxm9dU9r3kNn/xJk4nuUqLzu3CvSbt+ob4A +bStaS2de0pKvmNIDZisioa/NiN94Xj1EhEcJtLHRaGzaOe0fdk9AneuVBOw7 +lH+EsEvXpuZC1DSGKQ1IEHNn4fmOB13WV7Xa58/zS7V01w4c1Bj4r3rKT120 +rWgJ1en4sFXlNAdBOrciHuS9C/GhKy5pf03+PE2gDV8jcff7GcFvX3/4yQWK +XmnAskP5Rwi79G32XU8MnnVKKd17GICRnitLJ4RTHGbzv78uXzreP7lab1X/ +uGHOwi1Hzl1rx9yP1qo4Nj0gju5sXr6sUNjVlB1+LzZi5ob0basiA0eMnJSQ +2+Fsa3Hy3rnIgHln1Vi23UmgDVujoXZjUEhq40MpMYpelr7x3iCrDhXcK6Eb +NDZ+HPLXDySQAAAsIDUXV854p5T6IHbbYBb9nO+y4it5h47k/8KuBLKnfKFv +SOYtpncOPFihgFSfnfOMb9J5pdVGKH+YP+rJ0OMdhI3sa62U0z4/N9RvCQpM +rsZKYyQl0OK8ZhVPo67sjfEhn7c8pA5BL7vgW7Ttd2k/qUQRiw0bmdgNIsgc +irnlc9lziz2zTMjTIbovp6490EA/evQ16/1HPBs8Ydp+9u9xNUURY17Ibmd4 +gIZsxaI4kTB7uh1zV1+i/kgZeFwwcUvdYLbQe2259+jooi5F+YFo31D6s3hM +zenBvovKsUazhAQWdyLUweJp1JZGPivb1/ZQwJzrpfTNWfDNbXtlw59+nS7/ +FkWsTYwxxghLmXYa2vY+7xN92Q0eLgFDIPVNOTsPXGf6HoCxYVvg2FcP7nrp +T37rqM5PR0J3OcZH9kUr/WLEixVHeioSxvsn3c+QDPUfTvJbNnA74OR8tH5f +giasxvNCSgIJhDpYPI26nxb4yL58WJ1TvTS+OQu+VVNZUNxKkyCIIxYXVmMM +t0EUmUMxt2TJfOPwMgvA5Zhu/2f3/oruwcosorvm+9MKx9e0/WNr8pg5/+1S +/Rg32uvVEx0Y74qtmivfnazstg628qkscA39rOBghYm+qkQ/n6WDI9jSfnzR +1DVnVPe9YZwvurI4/yk5Cuc+SFbgg18y1MEiaxxEX732L8+nNz80OpzppfeN +/WIlklh+vHKBzKGYmj6RBa0T7QUmwANWZf4K/989/tgDHv99UJp9kRbR11z0 +9TLvP4xbfrJe3Xh09h+f8IpKP3cH9cVUd+lif//FFwdv+IyNKWFTqN8icrTC +gKFu80SvF99MTsnITNu6KbPw7oMZwjxfjDdTwmYgzSbJCrQ5q4NF1ziIVXF0 +mmxz3cPvixj0MvvGerESSyw/Xokv0w79jXeDp3/T4cpSeEDaEJqL66N3ivqx +bWraETQuplDjsPYxzRdSV7E55qNr+N9LlZJAJ3Ww+Br1NRumLi4b8mzSiV5W +wWdCPLG8eCW2TAe0pbEvbYA0GWDEKD+Vsb+wU6wvfJpbskLGzs5XOU5G+vli +lOdnfVbQwdJFiQh0UgfLSmPvz2vnpjXa3TMz6GUTfEbEFMvdK7FlOmJqSo9M +/rkX0zzw6EGaVGqTCGXspOF2ycG3vId5Re0rUdg9JDCrq47GjvNbmVevtU82 +CEOXhpt7UhDIDEuN+tqPY9IaHB5kUullGXx6RBfL2SuRZTpiav5y4Y5ayJIB +wHOxKs+uSz6nhOeTbgChLn5/U4FS9M08AAAQE6L7ysHDVe6/f7KnQ/bcOHrk +ajd8egIAAAAAAAAAIGn+P8tvKlE= "], {{0, 207}, {476, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -860,7 +861,7 @@ Kdc= ImageRegion->{{0, 1}, {0, 1}}, CellTags->{"OneLoopSimplify", "RasterizedOutput"}, CellLabel->"Out[5]=", - CellID->1455716630] + CellID->1768019970] }, Open ]], Cell[CellGroupData[{ @@ -880,121 +881,122 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnX9UVGX+x22//7R7PLutrXs4rZogAUJSQAVm4pK2mGQsyPekBp4j2Xr8 -RUjlz2zTNDQMlbCS8tdxUUut2Fr8maCggRog8ksIUJQBHKYZBphfzL2zgKzB -zL137q+ZuXN9v86po3J5ns/783w+89x7n888j2fiG7H/+M2wYcPefLD3f7Hz -V0akpMxfPeuh3r/8f9KbixYmvb7gxaS3Xl/4ekpY4v/1/uNrvf+pHhg2rO/P -FgAAAABwgdAUf/SPlyaN93xy7s7KbtLV5gAAAOCEvvFfe37qICzGxs/Dx0Wd -VTugCwJzA3ArELHAvSDNOnN/0HaXJk1acKlTnFZ7mvbNSizQWCxdpUnh8y52 -iNMqAI4CEQtkQPe1D1/PqjeI0xjZfnzWjEMKs8VwfWPYtCOthDjNAuAgELHA -7SE7Kw5+cb7dLFZ7XVcW/y31usFibj7w17DUWpEmBwAcBSIWuDek/ubJY+fa -TBYL0XWzTivCZ3nvHc3EF3LbSWP9rgj/hGItbm2AtEHEArfGdPtggq+Xb0Av -/o9PfqdCJ7xJs+JQhN+U5+OT16dtiw6J3prTqMOSEZAwiFggPczqon1vx0VM -W5W+YUlUwIiHJyQea+lxWptk+4m4qTsbTQI7BEAQiFjg3pCqk9Mf8U4+ozRb -COX3M0c+FHq4pUdgfThVm4SF7L5R2jTk1qUvJyauuCbCXT0AQkDEArdGU/CK -p/+6Kn3fn7tKFnqOijnXKrQ+3LbN/DZF8e4Y79AvmoTe6gMgPohY4M50Xkoc -55tc3n97oa9+b4LPgkINIbA+nKpN0mKsT5/4HJICSBBELHBnusuSfLzm939S -9zQfnjt52YlBpYQ868Np2kRSAImCiAXujL5qrb/HM6+mbNqekbZ+TUbenV9D -lnd9OF2bSAogTRCxwJ0x1m0OHBubp7ZZxBRQH07bJpICSBJELHBnTI2ZwWMi -c9ut41dIfThdm0gKIE0QscBtIfW3Cva85jncI3pXgcIgzhcYmNo0qcqy48b6 -LM6p7hDte/wACAMRCwAAAAAAAAAAAADcmWkAgGnTGhoakE3ACYgSaQAA9vQo -jiRGTrFixtILGuzMB0QFkQYAAAAAAAAAAAAAXAXBep9w9le6KbIXaLk/NLoQ -ZNM9ZC/QgRiaTh2r0HLwmZ5in3BSW3HsVJP1LoVUV8oK2Qu03B8axQPZxB/Z -C3QYZGfZtpQvb3M6LIqk3CfcdPurlG1lnaT9K2WE7AVa7g+NIoFsEoTsBToK -08298zaWd/P7Zet9wrvLN87be5MqhnnuKO4+yF6g5f7QKAxkkzg4VCCpqzuQ -9LzPyOF/9Hxuyf5amoOqjc1nD3xd1SWV9zpER+nRgxeUNLun6WtSX15fqbf5 -d1LfdP6rzHeXv5OvImgaptonXF+5fmZqjXVz7HYUZ/QbC3scDr0nZSLQIlwj -B5BNQy5BNv0P0SNtKLqq9Dd2FrUZTaorO1/2+MMTH9YZba7pac1Jnve5xCZK -XeX2+NVnVBR+MdRtCf879SsoovXoRI8JW3+21dgH3T7h6rPR4UP9wm5Hcft+ -Y7bHSVB5UlYCLUI0cusG2XQPZNM9HBBpQzG15p1pGZDdXbbU6y8zCzusLiHa -j8eHLSnWit63QMhfzsaHLrrQYT03E3e+nRr0xlXKh8C+s18D/llte2thYdon -vPtqUtAL3ylJ+1cOsYOF35jscR42npSbQAtvjdxANt0D2eTQSGOg8/L88RM/ -s35vZVYcmuI350cq/5nVRfvejouYtip9w5KogBEPT0g81iJol3huDZK/nI7y -e+mkyiry9JWrA4NTa6lm7c7i+eN8U8p1ZtUPq6bPXrf/dEkzm83CDbUfBD/5 -LsfwYPCbUHuY++UxKDSetNORGwm08NQoAGQTDcgmR0Kqzy+e+mahzRf4O4tn -ewdnNFAuU5Oqk9Mf8U4+ozRbCOX3M0c+FHq4hbCQ3TdKm2jeClr0DUd3ZBVS -Pb3RNdhDW3Wpr14XGJBSbjW7aYteGRf8cSOFwb03SI95Lzh3OWfv/tyfOdRv -mho/DnksgeMSM5PfBNrDDI9BofEkM5ISSB8k9+Cjkb+NyCY6kE2Og1BfTF2+ -u4bCMnV+xOinDzRTRkrfU4z/uqr+ibWrZKHnqJj8NkXx7hjvULrDm3qasyNH -+y0q6aI2w7bBc630VZfG+vQg77nFVgHRURj1aMium7b96ypW+o54NGh8eBbl -Sjk9PTc/e8or5iK3B2Emv3G0h9ueOdwHhc6TzEhIIFOQ3IOPRp4gmxhANjkI -Uld3cMvuq9TV/dqLsV4hn9ygck3npcRxvsl3Zx199XsTfBb03X4IOIOPqkGC -vurSULMhcPzSMqv3dtofZ3mFfGprcO/VAWNe3LP12T/7rLD+HWZMjZkh3nM4 -DguD34TawwivQaH2JDNSEsgQJIPN4ayRD8gmZpBNDsF469/bsi5p+ot0CE3F -t8cVQ1Z6jfUfhQQso7KpuyzJx2t+fyj0NB+eO3nZif56Gv6BR9PgwA9tqy61 -RXN8Jx1UWE3RuvLljz+VXm+9XN1r1hOjp/+nrf2HOaM8XjzSwmG52Fj3YUjg -CjZLE2b15aPflGruuoHOb4LtYYLfoFB7kgLJChz4IUNpLmuNgkA22QPZJD5m -Ze4i398+MGyAB34XmGZdr2Oo3RQ2yWatpndyqlrr7/HMqymbtmekrV+TkXdn -QBXvwKNr0EJTdWm4vilsqm1HZkV2eMjaqsFLKER3ff4XCzx/P3bhN9Wq2uzI -Pz3oEZ1++jbbBRDdtbeCpnzZwqIaVVOY4OubcL7/+YzOb8LtYYDfoNB4kgLJ -CrTYK81lr5E/yCYWIJtcA6E+vzJmi/X0aazbHDg2Nk9t4yy+gUfbIHXVJam9 -tDb2/ZJO28HSVayanFAkYklXR2Hcs6u41wlR+82h8BoUek/aQUoC7ZTm8tYo -OsgmZJOrMDR9tz0rr3XQXGhqzAweE5nbbmstz8Cja5C66tLQlJu541QL9buy -rp+Wz0ijrJHihbEuPSrlJ5plJGZs/eZQ+AwKoyftIhGBdkpzhWkUHWQTsslV -kMZ2lfGuIlJ/q2DPa57DPaJ3FSisnl1MqrLsuLE+i3OqO9i/G2JqkBJC36Y2 -0l+nq/wgNq1GpMgz1n86e3Ml77uAQX5zKDwHxY4n2XQsAYHMCNcoOsgmfkgh -2ByaTWAQZuXJFSmnlSLsrUCozr2z5pTSicsVAEgLZBNwEYTm8p59ZVx2SKaC -7LyWvf+KxpX7OgHgcpBNAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAADgBGH/aPj7GvgHAFdDIPEY0bM4Gl4gbj0EsvePW4+O -S4DHnEJP075ZiQUai6WrNCl83sUOV9sjaUgWR8NzRz5DIEf/yGd0nAU85nTI -9uOzZhxSmC2G6xvDph1pxS7FbGA6Gp4zMhwCGflHhqPjYOAx59N1ZfHfUq8b -LObmA38NS6U9C9DYfPbA11VdUnlAIjpKjx68oHTNqdjMR8Nzh+UQuA3y8g8S -hCvwmNPpnTAnvpDbThrrd0X4JxRrKWfOntac5Hmfi3VzJRK6yu3xq8+onH1Q -lZ2j4XnAagjcBrn5BwnCFXjM6ZgVhyL8pjwfn7w+bVt0SPTWnEadzexItB+P -D1tSrHWFfUyQv5yND110ocOZ07mdo+H5wGYI3AbZ+QcJwhV4TAzM6qJ9b8dF -TFuVvmFJVMCIhyckHmuhfVAg20/ETd3ZaGJsUHFoit+cH6lczqkv0Y3vdfrp -KL+XTqoEOl10FZzaZDMErkV+/hG3dyTIkD7hMVEgVSenP+KdfEZpthDK72eO -fCj0cEsPdTVvn8snrrjGfMvUWTzbOzijgXJcqPoiLGT3jdImulsmfcPRHVmF -dA8uHIzva6t6XWBASrnQWz5unfJvk8ozrIbAxcjPP6L2jgTBR4r4aApe8fRf -V6Xv+3NXyULPUTHnWoVU86rzI0Y/faCZ0km2feW3KYp3x3iHftFEPeX1NGdH -jvZbVNIlhvHG+vQg77nFtmVtPYojiZFTrJix9IKGMhDE9hh1m/Y8I13cwT9C -R1xA70iQ++Ejxcl0Xkoc55t8dzrRV783wWdBoYYQUs2rvRjrFfLJDaqpk6ov -ss8TE5/jl4wcjTfUbAgcv7Ssm0dP/Dvl3aYgz7gQ+flH3N6RIPhIEZvusiQf -r/n9lvU0H547edmJQYVfvKp5jfUfhQQsoxJG0xd/n3M1Xls0x3fSQYWwlWXx -PeYAz7gQ+flH5N6RIPhIERl91Vp/j2deTdm0PSNt/ZqMvDu/KuddzWuo3RQ2 -6bObNnMnXV+8fc7VeMP1TWFThWa9IzwmumdciPz8I3rvSBCuyNtjgjHWbQ4c -G5untnnDJaial1CfXxmzxbp4jLYv3nc13IwntZfWxr5f0ilsUdkRHhPdMy5E -fv5xQO9IEHykiIipMTN4TGRuu7UZwqt5DU3fbc/Kax00fdL1xdvn3Iw3NOVm -7jjVIrQOzREeE90zLkR+/nFQ70gQrsjVY8Ig9bcK9rzmOdwjeleBwuCA+YQ0 -tquMpN2+TKqy7LixPotzqjvYT9CcjSf0bWqjQJGO8JjonnEh8vOPY3tHgnDu -QG4eAwAAAAAAAAAAAAC8mAaAqDQ0NCAsAeCHKOkDgCPg9i1sAAAAAAAAAAAA -AAAAcE8I1vtCs7/SfZGxRolLk7h5wpG9QIusNTpVmqHp1LEKLYdO9BQ765La -imOnmqw3JaO6Um7IWKPEpUncPOHIXqBF1hqdKI3sLNuW8uVtTt/5Jyl31jXd -/iplW9nQHWCor5QXMtYocWkSN084shdokbVG50kz3dw7b2M5z/3MrXfW7S7f -OG+v7UaRFFfKERlrlLg0iZsnHNkLtMhao0BppK7uQNLzPiOH/9HzuSX7aylO -ndPXpL68vlJv+5v6pvNfZb67/J18FUHXOMXOuvrK9TNTa6ybY7eBsLH57IGv -q7qo3+2wsMcZEB2lRw9eUFLsiWZPI6M6KcBfGh/sR+bAdfzi0BbJR5dQ/0te -oAXpww9dVfobO4vajCbVlZ0ve/zhiQ/rjFZXGOq2hP+d+p0N0Xp0oseErT9b -/8qAbTTbAqvPRocP7YbdBsI9rTnJ8z5nmrCY7XEeusrt8avPDD1p1Z5G++ok -AR9pPHuyG5n34BeHQ3GT6OLvfzcRaEH6cMfUmnemZWDYusuWev1lZmHH0CuI -O99ODXrjKuUrlb4zQwP+WW17o25h2ha4+2pS0AvfKUn7Vw6xo/14fNiSYi2T -GiZ7nAr5y9n40EUXOlhrZKNOGnCWxhP7kfkr/OJwMO4TXTz97z4CLUgfQXRe -nj9+os35RvrK1YHBqbVU01xn8fxxvinlOrPqh1XTZ6/bf7qkmc32uobaD4Kf -fJdjtJgVh6b4zfmRcaB42sPcr7po39txEdNWpW9YEhUw4uEJicdaWOwhT/5y -OsrvpZMqlt2zUcfTEtEb5ChNDKgj89cfCx53d4ouXv53J4EWpA9/SPX5xVPf -LLTZ4UJb9Mq44I8bKVKo9x7pMe8F5y7n7N2f+zOHgkdT48chjyVwXJPtLJ7t -HZzRwFQsw9ceZkjVyemPeCefUZothPL7mSMfCj3c0mO/1FNfvS4wIKWc5dzK -Qh21JYSF7L5R2kT33ljfcHRHVqGK5jnNKdKEQxeZ/0OEcZdUdNkZU17+l5RA -pI+j0odQX0xdvruGQk9HYdSjIbtu2s4zuoqVviMeDRofnkV7m0RNz83PnvKK -ucjtCUidHzH66QPNDC+OWNvDbY+mvidN/3VV/c8OXSULPUfFnGtlUepprE8P -8p5bzHKusq+O0pL8NkXx7hjvULpDpnqasyNH+y0q6WLboAOkCYU+MgfgHYeD -kFB02RtTfv6XkECkj4PSh9TVHdyy+yr1l3u0P87yCvn0hs3QGmo2BIx5cc/W -Z//ss6KMUzGiqTEzxHsORx3ai7FeIZ/YmiGCPYx0Xkoc55t8d+7UV783wWdB -oYZgUerZa07g+KVsDbGrjsYSUsgxjs6RJgjGyLxnjfBxl1J02R1TPv6XkkCk -jyPSx3jr39uyLmn6i4wITcW3xxVDVqp15csffyq93nr1ulf/E6On/6et/Yc5 -ozxePNLCYX3VWPdhSOAKNu/yzerLR78p1Zj7+/soJGAZvXgB9jDRXZbk4zW/ -fzx6mg/PnbzsxKCqIKZST23RHN9JBxUszbCnjt4S/nHoJGkCsBOZd6/hP+6S -jS47Y8ra/5IVOPBDpI9YmJW5i3x/+8CwAR74XWCaVb2RWZEdHrK2avCCJNFd -n//FAs/fj134TbWqNjvyTw96RKefvs12PUR37a2gKV+2sChO1RQm+PomnO9/ -XDPUbgqbRL3MJdAeBvRVa/09nnk1ZdP2jLT1azLy7vw63sylnobrm8KmcggP -BnXMlvCOQ6dJ44n9yBQ67pKNLuYxZe9/yQq0IH0cnT426CpWTU4oErGWp6Mw -7tlV3AtrCPX5lTFbxKpnY4WxbnPg2Ng8tU1A2yn1JLWX1sa+X9LJIRHsqKO1 -hG8cOlGaWyCl6GIaU97+l5JApI8L0qfrp+Uz0igrDnlhrEuPSvmJZtmAGUPT -d9uz8lp5r2RxxNSYGTwmMrfd2ud2Sj0NTbmZO061cLaSQR2dJbzj0MnS3AKJ -RBfTmArzv0QEIn049iYSusoPYtNqRPocN9Z/OntzJe+bAtLYrjI6YS4j9bcK -9rzmOdwjeleBgtPzJaFvU/O1kEodkyUmVVl23FifxTnVHezftblGmlsghehi -GFPh/peCQGaQPg7DrDy5IuW0UoStFgjVuXfWnFI6fnkMAADAYAjN5T37yrjs -N04F2Xkte/8VjSt33gEAAAAAAAAAAABg5r8EAQ+u +1:eJztnX1UVHX+x21//7R7PFtr6x5qzQQJFJKCqcBMXNJWk4wF6aQGniPZenwi +pPIx2zQNDUMjLLV8Ov58KOMYW4uKJiBooCaIPAkhgjKAMM0DME/MvbOArMHM +vXfu08zcub5f59RRufP9ft6f7+cz33vv98P3653wVsw/fzdkyJC37+/5X8y8 +FRHJyfNWzXyw5y+vJr69cEHim/NfSnznzQVvJocl/F/PP77R85/qviFDev9s +BQAAAAAXCE3xJ/98ecJY76fmbK/oIt1tDgAAAE4Y6v9/z89awmqq/zJ8dOQZ +tRO6IDA3AI8CEQs8C9Kit/QFbVdJ4oT5FzrEabW7cd/MhAKN1dpZkhg+97xW +nFYBcBaIWCADuq5+/OauOqM4jZHtx2dOP6y0WI3XNoRNOdpCiNMsAE4CEQs8 +HrKj/NBXZ9stYrXXeWnR31OuGa2WpgN/C0upEWlyAMBZIGKBZ0MaGk5m5rea +rVais6FWJ8J3ec8dzfgXs9tJU93OiID4Yh1ubYC0QcQCj8Z861C8v49/YA8B +T0x8r1wvvEmL8nDEmEkvxCWtS90apYjaklWvx5IRkDCIWCA9LOqife/GRkxZ +mbZ+cWTgsIfGJWQ2d7usTbL9ROzk7fVmgR0CIAhELPBsSNXJaY/4Jp1us1iJ +th9mDH8w9Ehzt8D6cKo2CSvZdaOkcdCtS29OjF9+VYS7egCEgIgFHo2m4DXv +gLWVht4/d15e4D0iOr9FaH24fZt5rcri3dG+oV81Cr3VB0B8ELHAk+m4kDDa +P6ms7/bCUPXBOL/5hRpCYH04VZuk1VSXNv55JAWQIIhY4Ml0lSb6+czr+6bu +bjoyZ+LSEwNKCXnWh9O0iaQAEgURCzwZQ+WaAK9nX0/euC09dd3q9Nzbv4Us +7/pwujaRFECaIGKBJ2Oq3RQ0KiZXbbeIKaA+nLZNJAWQJIhY4MmY6zNCRk7N +breNXyH14XRtIimANEHEAo+FNNws2POG91CvqJ0FSqM4v8DA1KZZVXowdpTf +oqwqrWi/xw+AMBCxAAAAAAAAAAAAAMCTmQIAmDLl+vXryCbgAkSJNAAAe7qV +RxOmTrJh+pJzGuzMB0QFkQYAAAAAAAAAAAAA3AXBep9w9ld6KLIXaL03NLoR +ZNNdZC/QiRgbczLLdRx8ZqDYJ5zUlWfmNNruUkh1payQvUDrvaFRPJBN/JG9 +QKdBdpRuTf76FqfDokjKfcLNt75J3lraQTq+UkbIXqD13tAoEsgmQcheoLMw +N+ydu6Gsi9+HbfcJ7yrbMHdvA1UM89xR3HOQvUDrvaFRGMgmcXCqQFJfeyDx +Bb/hQ//k/fzi/TU0B1Wbms4cOFbVKZX3OoS2JPPQuTaa3dMM1SmvrKsw2P07 +aWg8+03G+8vey1MRNA1T7RNuqFg3I6Xatjl2O4oz+o2FPU6H3pMyEWgVrpED +yKZBlyCb/ofokTYYfWXaW9uLWk1m1aXtr3g98OTHtSa7a7pbspLmfimxiVJf +sS1u1WkVhV+MtZvD/0H9Copo+Xa817gtv9hr7IVun3D1majwwX5ht6O4Y78x +2+MiqDwpK4FWIRq5dYNsuguy6S5OiLTBmFtyTzf3y+4qXeLz1xmFWptLiPbj +cWGLi3Wi9y0Q8tczcaELz2lt52bi9neTg9+6QvkQ2Hv2a+C/quxvLaxM+4R3 +XUkMfvH7NtLxlYPsYOE3Jntch50n5SbQylsjN5BNd0E2OTXSGOi4OG/s+B22 +760sysOTxsz+icp/FnXRvndjI6asTFu/ODJw2EPjEjKbBe0Sz61B8tdTkWNe +PqmyiTxDxaqgkJQaqlm7o3jeaP/kMr1F9ePKabPW7j91uYnNZuHGmo9Cnnqf +Y3gw+E2oPcz98hgUGk866MiDBFp5ahQAsokGZJMzIdVnF01+u9DuF/g7imf5 +hqRfp1ymJlUnpz3im3S6zWIl2n6YMfzB0CPNhJXsulHSSPNWsOfZSNt0m9a7 +VA1201ZdGqrWBgUml9nMbrqi10aHfFZPYXDPDdLjvvPzL2bt3Z/9C4f6TXP9 +Z4rH4zkuMTP5TaA9zPAZFGpPMiMpgfRBchc+GvnbiGyiA9nkPAjN+ZRlu6sp +LFPnRTz6zIEmyvc5vU8xAWsr+ybWzssLvEdE57Uqi3dH+4bSHd5kbtiheODh +V+mmVfsG81voqy5NdWnBvnOKbQJCWxj5mGJng33/+vIV/sMeCx4bvotypZye +7oYdT/tEn+f2IMzkN472cNszh/ug0HmSGQkJZAqSu/DRyBNkEwPIJidB6msP +bd59hbq6X3c+xkfx+Q0q13RcSBjtn3Rn1jFUfTDOb37v7QfzGXwWdUlO/g2a +iYyqQYK+6tJYvT5o7JJSm/d2up9m+ii+sDe45+rAkS/t2fLcX/yW236GGXN9 +hsJ3NsdhYfCbUHsY4TMoNJ5kRkoCGYJkoDmcNfIB2cQMsskpmG7+e+uuC5q+ +Ih1CU/7dceWglV5T3SeKwKVUNnWVJvr5zOsLhe6mI3MmLj3RV0/D/yhVmgb7 +f2hfdakrmu0/4ZDSZorWly174um0Otvl6h6znnx02n9a23+cPcLrpaPNHJaL +TbUfK4KWs1masKgvfnusRHPHDXR+E2wPE/wGhdqTFEhWYP8PGUpzWWsUBLLJ +Ecgm8bG0ZS/0//19Q/q57w9Bqbb1OsaajWET7NZqeianyjUBXs++nrxxW3rq +utXpubf7VfEOPLoGrTRVl8ZrG8Mm23dkUR4MV6ypHLiEQnTV5X013/uPoxYc +q1LVHJz65/u9otJO3WK7AKK/+k7wpK+bWVSjagrj/f3jz/Y9n9H5Tbg9DPAb +FBpPUiBZgVZHpbnsNfIH2cQCZJN7INRnV0Rvtp0+TbWbgkbF5KrtnMU38Ggb +pK66JHUX1sR8eLnDfrD05SsnxheJWNKlLYx9biX3OiFqvzkVXoNC70kHSEmg +g9Jc3hpFB9mEbHIXxsbvt+3KbRkwF5rrM0JGTs1ut7eWZ+DRNUhddWlszM74 +NKeZ+l1Z58/LpqdS1kjxwlSbFpn8cyefj9r7zanwGRRGTzpEIgIdlOYK0yg6 +yCZkk7sgTe0q0x1FpOFmwZ43vId6Re0sUNo8u5hVpQdjR/ktyqrSsn83xNQg +JYShVW2iv05f8VFMarVIkWeq+2LWpgredwED/OZUeA6KA0+y6VgCApkRrlF0 +kE38kEKwOTWbwAAsbSeXJ59qE2FvBUKV/97qnDYXLlcAIC2QTcBNEJqLe/aV +ctkhmQqy4+rB/Zc07tzXCQC3g2wCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAnCMdHw9/TwD8AuBsCiceIgcXR8ALx6CGQ +vX88enTcAjzmErob981MKNBYrZ0lieFzz2vdbY+kIVkcDc8d+QyBHP0jn9Fx +FfCYyyHbj8+cflhpsRqvbQibcrQFuxSzgeloeM7IcAhk5B8Zjo6TgcdcT+el +RX9PuWa0WpoO/C0shfYsQFPTmQPHqjql8oBEaEsyD51rc8+p2MxHw3OH5RB4 +DPLyDxKEK/CYy+mZMMe/mN1Omup2RgTEF+soZ87ulqykuV+KdXMlEvqKbXGr +TqtcfVCVg6PhecBqCDwGufkHCcIVeMzlWJSHI8ZMeiEuaV3q1ihF1Jaser3d +7Ei0H48LW1ysc4d9TJC/nokLXXhO68rp3MHR8HxgMwQeg+z8gwThCjwmBhZ1 +0b53YyOmrExbvzgycNhD4xIym2kfFMj2E7GTt9ebGRtUHp40ZvZPVC7n1Jfo +xvc4/VTkmJdPqgQ6XXQVnNpkMwTuRX7+Ebd3JMigPuExUSBVJ6c94pt0us1i +Jdp+mDH8wdAjzd3U1by9Lh+//CrzLVNH8SzfkPTrlONC1RdhJbtulDTS3jJ1 +a5tuG+l+yMH4HgxVa4MCk8uE3vJx65R/m1SeYTUEbkZ+/hG1dyQIvlLER1Pw +mnfA2kpD7587Ly/wHhGd3yKkmledF/HoMweaKF8Y2feV16os3h3tG/pVI/WU +Z27YoXjg4VcpZ2LOxpvq0oJ95xTbl7V1K48mTJ1kw/Ql5zSUYy22x6jbdOQZ +6eIJ/hE64gJ6R4LcC18pLqbjQsJo/6Q704mh6oNxfvMLNYSQal7d+Rgfxec3 +qKZOqr7IXk+Mf542HSzqkpz8GzQTK0fjjdXrg8YuKe3ipEdop7zbdOQZqSI/ +/4jbOxIEXyli01Wa6Oczr8+y7qYjcyYuPTGg8ItXNa+p7hNF4FIqYTR98U9G +rsbrimb7TzikFLayLL7HnOAZNyI//4jcOxIEXykiY6hcE+D17OvJG7elp65b +nZ57+zflvKt5jTUbwybsaLCbO+n64u1zrsYbr20Mmyw0653hMdE940bk5x/R +e0eCcEXeHhOMqXZT0KiYXLXd84Wgal5CfXZF9Gbb4jHavnjf1XAzntRdWBPz +4eUOYYvKzvCY6J5xI/LzjxN6R4LgK0VEzPUZISOnZrfbmiG8mtfY+P22Xbkt +A6ZPur54+5yb8cbG7IxPc5qF1qE5w2Oie8aNyM8/TuodCcIVuXpMGKThZsGe +N7yHekXtLFDSVt8I6cDUrjKRDvsyq0oPxo7yW5RVpWU/QXM2njC0qk0CRTrD +Y6J7xo3Izz/O7R0JwrkDuXkMAAAAAAAAAAAAAPBiCgCicv36dYQlAPwQJX0A +cAbcfgsbAAAAAAAAAAAAAAAAPBOC9b7Q7K/0XGSsUeLSJG6ecGQv0CprjS6V +ZmzMySzXcejEQLGzLqkrz8xptN2UjOpKuSFjjRKXJnHzhCN7gVZZa3ShNLKj +dGvy17c4/c4/SbmzrvnWN8lbSwfvAEN9pbyQsUaJS5O4ecKRvUCrrDW6Tpq5 +Ye/cDWU89zO33Vm3q2zD3L32G0VSXClHZKxR4tIkbp5wZC/QKmuNAqWR+toD +iS/4DR/6J+/nF++voTjJwlCd8sq6CoP9Jw2NZ7/JeH/Ze3kqgq5xip11DRXr +ZqRU2zbHbgNhU9OZA8eqOqnf7bCwxxUQ2pLMQ+faKPZEc6SRUZ0U4C+ND44j +s/86fnFoj+SjS6j/JS/QivThh74y7a3tRa0ms+rS9le8Hnjy41qTzRXG2s3h +/6B+Z0O0fDvea9yWX2w/0m8bzbbA6jNR4YO7YbeBcHdLVtLcL5kmLGZ7XIe+ +YlvcqtOqQTocaXSsThLwkcazJ4eReRd+cTgYD4ku/v73EIFWpA93zC25p5v7 +h62rdInPX2cUagdfQdz+bnLwW1coX6n0nhka+K8q+xt1K9O2wF1XEoNf/L6N +dHzlIDvaj8eFLS6mOb3UsT0uhfz1TFzownNa1hrZqJMGnKXxxHFk/ga/OByI +50QXT/97jkAr0kcQHRfnjR1vd76RoWJVUEhKDdU011E8b7R/cpneovpx5bRZ +a/efutzEZntdY81HIU+9zzFaLMrDk8bMpjuDWpA9zP2qi/a9GxsxZWXa+sWR +gcMeGpeQ2cxiD3ny11ORY14+qWLZPRt1PC0RvUGO0sSAOjJ/+7Hgcfek6OLl +f08SaEX68IdUn100+e1Cux0udEWvjQ75rJ4ihXrukR73nZ9/MWvv/uxfOBQ8 +mus/Uzwez3FNtqN4lm9I+nWmYhm+9jBDqk5Oe8Q36XSbxUq0/TBj+IOhR5q7 +HZd6GqrWBgUml7GcW1moo7aEsJJdN0oaad8bd2ubbtPmokukCYcuMv+HCOMu +qehyNKZ8/C8pgUgfZ6UPoTmfsmx3NYUebWHkY4qdDfbzjL58hf+wx4LHhu+i +vU2iprthx9M+0ee5PQGp8yIefeZAE8OLI9b2cNujqfdJM2BtZd+zQ+flBd4j +ovNbWJR6murSgn3nFLOcqxyro7Qkr1VZvDvaN5TukClzww7FAw+/Sneb4hJp +QqGPzH54x+EAJBRdjsaUn/8lJBDp46T0IfW1hzbvvkL9yz26n2b6KL64YTe0 +xur1gSNf2rPlub/4LS/lVIxors9Q+M7mqEN3PsZH8bm9GSLYw0jHhYTR/kl3 +5k5D1Qfj/OYXaggWpZ495gSNXcLWEIfqaCwhHZwVaFGX5OTfoPkKdI00QTBG +5l1rhI+7lKLL0Zjy8r+UBCJ9nJE+ppv/3rrrgqavyIjQlH93XDlopVpftuyJ +p9PqbFeve/Q/+ei0/7S2/zh7hNdLR5s5rK+aaj9WBC1n8y7for747bESjaWv +v08UgUvpxQuwh4mu0kQ/n3l949HddGTOxKUnBlQFMZV66opm+084pGRphiN1 +9JbwP43XRdIE4CAy71zDf9wlG10OxpS1/yUrsP+HSB+xsLRlL/T//X1D+rnv +D0GpNvVGFuXBcMWayoELkkRXXd5X873/OGrBsSpVzcGpf77fKyrt1C226yH6 +q+8ET/q6mUVxqqYw3t8//mzf45qxZmPYBOplLoH2MGCoXBPg9ezryRu3paeu +W52ee/u38WYu9TRe2xg2mUN4MKhjtoR3HLpMGk8cR6bQcZdsdDGPKXv/S1ag +Fenj7PSxQ1++cmJ8kYi1PNrC2OdWci+sIdRnV0RvFquejRWm2k1Bo2Jy1XYB +7aDUk9RdWBPz4eUODongQB2tJXzj0IXSPAIpRRfTmPL2v5QEIn3ckD6dPy+b +nkpZccgLU21aZPLPnXw+amz8ftuu3BbeK1kcMddnhIycmt1u63MHpZ7GxuyM +T3OaOVvJoI7OEt5x6GJpHoFEootpTIX5XyICkT4cexMJfcVHManVIn2Pm+q+ +mLWpgvdNAWlqV5lcMJeRhpsFe97wHuoVtbNAyen5kjC0qvlaSKWOyRKzqvRg +7Ci/RVlVWvbv2twjzSOQQnQxjKlw/0tBIDNIH6dhaTu5PPlUmwhbLRCq/PdW +57Q5f3kMAADAQAjNxT37SrnsN04F2XH14P5LGnfuvAMAAAAAAAAAAADAzH8B +AcIQCg== "], {{0, 99}, {493, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -1008,7 +1010,7 @@ N04F2Xkte/8VjSt33gEAAAAAAAAAAABg5r8EAQ+u ImageRegion->{{0, 1}, {0, 1}}, CellTags->{"OneLoopSimplify", "RasterizedOutput"}, CellLabel->"Out[6]=", - CellID->472334896] + CellID->1233007026] }, Open ]], Cell[CellGroupData[{ @@ -1331,7 +1333,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 4.618151}", + "built" -> "{2020, 6, 20, 19, 8, 56.867385}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1361,66 +1363,66 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "OneLoopSimplify"->{ - Cell[5325, 162, 148, 4, 70, "Input", + Cell[5324, 162, 148, 4, 27, "Input", CellTags->"OneLoopSimplify", CellID->408969695], - Cell[5476, 168, 1076, 25, 93, "Output", + Cell[5475, 168, 1076, 25, 94, "Output", CellTags->"OneLoopSimplify"], - Cell[7247, 229, 360, 12, 27, "Input", + Cell[7246, 229, 360, 12, 27, "Input", CellTags->"OneLoopSimplify", CellID->2051602371], - Cell[7610, 243, 1573, 57, 63, "Output", + Cell[7609, 243, 1573, 57, 63, "Output", CellTags->"OneLoopSimplify"], - Cell[9220, 305, 165, 5, 27, "Input", + Cell[9219, 305, 165, 5, 27, "Input", CellTags->"OneLoopSimplify", CellID->1712188386], - Cell[9388, 312, 3179, 111, 68, "Output", + Cell[9387, 312, 3179, 111, 68, "Output", CellTags->"OneLoopSimplify"], - Cell[12604, 428, 221, 7, 27, "Input", + Cell[12603, 428, 221, 7, 27, "Input", CellTags->"OneLoopSimplify", CellID->2028218956], - Cell[12828, 437, 1454, 54, 57, "Output", + Cell[12827, 437, 1454, 54, 57, "Output", CellTags->"OneLoopSimplify"], - Cell[14319, 496, 419, 13, 27, "Input", + Cell[14318, 496, 419, 13, 27, "Input", CellTags->"OneLoopSimplify", CellID->1056142741], - Cell[14741, 511, 2381, 84, 66, "Output", + Cell[14740, 511, 2381, 84, 66, "Output", CellTags->"OneLoopSimplify"], - Cell[17159, 600, 169, 5, 27, "Input", + Cell[17158, 600, 169, 5, 27, "Input", CellTags->"OneLoopSimplify", CellID->971533335], - Cell[17331, 607, 15074, 255, 228, "Output", + Cell[17330, 607, 15159, 256, 228, "Output", CellTags->{"OneLoopSimplify", "RasterizedOutput"}, - CellID->1455716630], - Cell[32442, 867, 271, 10, 27, "Input", + CellID->1768019970], + Cell[32526, 868, 271, 10, 27, "Input", CellTags->"OneLoopSimplify", CellID->1848776094], - Cell[32716, 879, 7541, 131, 120, "Output", + Cell[32800, 880, 7571, 132, 120, "Output", CellTags->{"OneLoopSimplify", "RasterizedOutput"}, - CellID->472334896], - Cell[40294, 1015, 442, 16, 27, "Input", + CellID->1233007026], + Cell[40408, 1017, 442, 16, 27, "Input", CellTags->"OneLoopSimplify", CellID->214879980], - Cell[40739, 1033, 7051, 244, 66, "Output", + Cell[40853, 1035, 7051, 244, 66, "Output", CellTags->"OneLoopSimplify"]}, "PrimaryExamplesSection"->{ - Cell[6613, 200, 388, 15, 31, "PrimaryExamplesSection", + Cell[6612, 200, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1405242556]}, + CellID->1251869634]}, "RasterizedOutput"->{ - Cell[17331, 607, 15074, 255, 228, "Output", + Cell[17330, 607, 15159, 256, 228, "Output", CellTags->{"OneLoopSimplify", "RasterizedOutput"}, - CellID->1455716630], - Cell[32716, 879, 7541, 131, 120, "Output", + CellID->1768019970], + Cell[32800, 880, 7571, 132, 120, "Output", CellTags->{"OneLoopSimplify", "RasterizedOutput"}, - CellID->472334896]} + CellID->1233007026]} } *) (*CellTagsIndex CellTagsIndex->{ - {"OneLoopSimplify", 50376, 1362}, - {"PrimaryExamplesSection", 51875, 1405}, - {"RasterizedOutput", 52019, 1409} + {"OneLoopSimplify", 50492, 1364}, + {"PrimaryExamplesSection", 51992, 1407}, + {"RasterizedOutput", 52136, 1411} } *) (*NotebookFileOutline @@ -1432,86 +1434,86 @@ Cell[CellGroupData[{ Cell[4023, 114, 479, 14, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4527, 132, 739, 24, 31, "NotesSection", +Cell[4527, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1580551472], -Cell[5269, 158, 31, 0, 70, "SectionHeaderSpacer"], + CellID->649596718], +Cell[5268, 158, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5325, 162, 148, 4, 70, "Input", +Cell[5324, 162, 148, 4, 27, "Input", CellTags->"OneLoopSimplify", CellID->408969695], -Cell[5476, 168, 1076, 25, 93, "Output", +Cell[5475, 168, 1076, 25, 94, "Output", CellTags->"OneLoopSimplify"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6613, 200, 388, 15, 31, "PrimaryExamplesSection", +Cell[6612, 200, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1405242556], + CellID->1251869634], Cell[CellGroupData[{ -Cell[7026, 219, 196, 6, 26, "ExampleSection", - CellID->1353084621], +Cell[7025, 219, 196, 6, 26, "ExampleSection", + CellID->2062258939], Cell[CellGroupData[{ -Cell[7247, 229, 360, 12, 27, "Input", +Cell[7246, 229, 360, 12, 27, "Input", CellTags->"OneLoopSimplify", CellID->2051602371], -Cell[7610, 243, 1573, 57, 63, "Output", +Cell[7609, 243, 1573, 57, 63, "Output", CellTags->"OneLoopSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[9220, 305, 165, 5, 27, "Input", +Cell[9219, 305, 165, 5, 27, "Input", CellTags->"OneLoopSimplify", CellID->1712188386], -Cell[9388, 312, 3179, 111, 68, "Output", +Cell[9387, 312, 3179, 111, 68, "Output", CellTags->"OneLoopSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[12604, 428, 221, 7, 27, "Input", +Cell[12603, 428, 221, 7, 27, "Input", CellTags->"OneLoopSimplify", CellID->2028218956], -Cell[12828, 437, 1454, 54, 57, "Output", +Cell[12827, 437, 1454, 54, 57, "Output", CellTags->"OneLoopSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[14319, 496, 419, 13, 27, "Input", +Cell[14318, 496, 419, 13, 27, "Input", CellTags->"OneLoopSimplify", CellID->1056142741], -Cell[14741, 511, 2381, 84, 66, "Output", +Cell[14740, 511, 2381, 84, 66, "Output", CellTags->"OneLoopSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[17159, 600, 169, 5, 27, "Input", +Cell[17158, 600, 169, 5, 27, "Input", CellTags->"OneLoopSimplify", CellID->971533335], -Cell[17331, 607, 15074, 255, 228, "Output", +Cell[17330, 607, 15159, 256, 228, "Output", CellTags->{"OneLoopSimplify", "RasterizedOutput"}, - CellID->1455716630] + CellID->1768019970] }, Open ]], Cell[CellGroupData[{ -Cell[32442, 867, 271, 10, 27, "Input", +Cell[32526, 868, 271, 10, 27, "Input", CellTags->"OneLoopSimplify", CellID->1848776094], -Cell[32716, 879, 7541, 131, 120, "Output", +Cell[32800, 880, 7571, 132, 120, "Output", CellTags->{"OneLoopSimplify", "RasterizedOutput"}, - CellID->472334896] + CellID->1233007026] }, Open ]], Cell[CellGroupData[{ -Cell[40294, 1015, 442, 16, 27, "Input", +Cell[40408, 1017, 442, 16, 27, "Input", CellTags->"OneLoopSimplify", CellID->214879980], -Cell[40739, 1033, 7051, 244, 66, "Output", +Cell[40853, 1035, 7051, 244, 66, "Output", CellTags->"OneLoopSimplify"] }, Open ]] }, Open ]], -Cell[47817, 1281, 31, 0, 29, "SectionFooterSpacer"] +Cell[47931, 1283, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[47885, 1286, 270, 12, 31, "SeeAlsoSection", +Cell[47999, 1288, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[48158, 1300, 319, 13, 56, "SeeAlso"] +Cell[48272, 1302, 319, 13, 56, "SeeAlso"] }, Open ]], -Cell[48492, 1316, 23, 0, 41, "FooterCell"] +Cell[48606, 1318, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoopSum.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoopSum.nb index 2d1a3ee13..1247a0e2b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoopSum.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OneLoopSum.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6948, 210] +NotebookDataLength[ 6950, 210] NotebookOptionsPosition[ 4872, 153] -NotebookOutlinePosition[ 6741, 202] -CellTagsIndexPosition[ 6698, 199] +NotebookOutlinePosition[ 6743, 202] +CellTagsIndexPosition[ 6700, 199] WindowTitle->OneLoopSum WindowFrame->Normal*) @@ -79,7 +79,7 @@ OneLoopSum.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$193144], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$194152], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OneLoopSum", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 5.777966}", + "built" -> "{2020, 6, 20, 19, 8, 57.987420}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OptionsSelect.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OptionsSelect.nb index 540cf0282..acd3d2e42 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/OptionsSelect.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/OptionsSelect.nb @@ -59,7 +59,7 @@ OptionsSelect.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$198427], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$199435], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/OptionsSelect", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 18.257683}", + "built" -> "{2020, 6, 20, 19, 9, 9.819804}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PD.nb index 39ec57b35..ecf7edf77 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6975, 214] +NotebookDataLength[ 6976, 214] NotebookOptionsPosition[ 5026, 159] -NotebookOutlinePosition[ 6767, 206] -CellTagsIndexPosition[ 6724, 203] +NotebookOutlinePosition[ 6768, 206] +CellTagsIndexPosition[ 6725, 203] WindowTitle->PD WindowFrame->Normal*) @@ -81,7 +81,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$208542], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$209552], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PD", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 44.167261}", + "built" -> "{2020, 6, 20, 19, 9, 32.856935}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVe.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVe.nb index 315e50e4d..83e371d6e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVe.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVe.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11807, 383] -NotebookOptionsPosition[ 8534, 290] -NotebookOutlinePosition[ 11091, 357] -CellTagsIndexPosition[ 10983, 351] +NotebookDataLength[ 11749, 382] +NotebookOptionsPosition[ 8533, 290] +NotebookOutlinePosition[ 11034, 356] +CellTagsIndexPosition[ 10926, 350] WindowTitle->PaVe WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$206332], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$207340], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PaVe", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->463206704], + CellID->156016921], Cell[CellGroupData[{ @@ -160,7 +160,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1950835585], + CellID->231085697], Cell[TextData[{ "Some of the PaVe's reduce to special cases with ", @@ -291,7 +291,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PaVe", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -303,7 +303,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 38.448791}", + "built" -> "{2020, 6, 20, 19, 9, 27.675262}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -326,8 +326,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -339,19 +338,19 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4821, 137, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->463206704]}, + CellID->156016921]}, "PaVe"->{ - Cell[5620, 172, 344, 11, 27, "Input", + Cell[5619, 172, 344, 11, 27, "Input", CellTags->"PaVe", CellID->378525516], - Cell[5967, 185, 1964, 70, 117, "Output", + Cell[5966, 185, 1964, 70, 117, "Output", CellTags->"PaVe"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10679, 338}, - {"PaVe", 10810, 342} + {"PrimaryExamplesSection", 10622, 337}, + {"PaVe", 10753, 341} } *) (*NotebookFileOutline @@ -364,27 +363,27 @@ Cell[3853, 110, 943, 23, 119, "Usage", Cell[CellGroupData[{ Cell[4821, 137, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->463206704], + CellID->156016921], Cell[CellGroupData[{ -Cell[5233, 156, 196, 6, 26, "ExampleSection", - CellID->1950835585], -Cell[5432, 164, 163, 4, 32, "Notes"], +Cell[5233, 156, 195, 6, 26, "ExampleSection", + CellID->231085697], +Cell[5431, 164, 163, 4, 32, "Notes"], Cell[CellGroupData[{ -Cell[5620, 172, 344, 11, 27, "Input", +Cell[5619, 172, 344, 11, 27, "Input", CellTags->"PaVe", CellID->378525516], -Cell[5967, 185, 1964, 70, 117, "Output", +Cell[5966, 185, 1964, 70, 117, "Output", CellTags->"PaVe"] }, Open ]] }, Open ]], -Cell[7958, 259, 31, 0, 29, "SectionFooterSpacer"] +Cell[7957, 259, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8026, 264, 270, 12, 31, "SeeAlsoSection", +Cell[8025, 264, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8299, 278, 193, 7, 56, "SeeAlso"] +Cell[8298, 278, 193, 7, 56, "SeeAlso"] }, Open ]], -Cell[8507, 288, 23, 0, 41, "FooterCell"] +Cell[8506, 288, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeOrder.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeOrder.nb index 3c4925420..6ab7e9292 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeOrder.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeOrder.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13448, 446] +NotebookDataLength[ 13393, 445] NotebookOptionsPosition[ 9537, 330] -NotebookOutlinePosition[ 12363, 406] -CellTagsIndexPosition[ 12250, 400] +NotebookOutlinePosition[ 12308, 405] +CellTagsIndexPosition[ 12195, 399] WindowTitle->PaVeOrder WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$207213], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$208221], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PaVeOrder", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->795923657], + CellID->1460432903], Cell[CellGroupData[{ @@ -162,7 +162,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2100172249], + CellID->648903808], Cell[BoxData[ RowBox[{"ClearAll", "[", @@ -331,7 +331,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PaVeOrder", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -343,7 +343,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 40.432063}", + "built" -> "{2020, 6, 20, 19, 9, 29.467193}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -365,8 +365,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -376,9 +375,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4788, 139, 387, 15, 31, "PrimaryExamplesSection", + Cell[4788, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->795923657]}, + CellID->1460432903]}, "PaVeOrder"->{ Cell[5531, 173, 430, 13, 45, "Input", CellTags->"PaVeOrder", @@ -399,8 +398,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11618, 377}, - {"PaVeOrder", 11754, 381} + {"PrimaryExamplesSection", 11562, 376}, + {"PaVeOrder", 11699, 380} } *) (*NotebookFileOutline @@ -411,12 +410,12 @@ Cell[3594, 97, 286, 11, 45, "ObjectNameGrid"], Cell[3883, 110, 880, 25, 122, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4788, 139, 387, 15, 31, "PrimaryExamplesSection", +Cell[4788, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->795923657], + CellID->1460432903], Cell[CellGroupData[{ -Cell[5200, 158, 196, 6, 26, "ExampleSection", - CellID->2100172249], +Cell[5201, 158, 195, 6, 26, "ExampleSection", + CellID->648903808], Cell[5399, 166, 107, 3, 27, "Input"], Cell[CellGroupData[{ Cell[5531, 173, 430, 13, 45, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeOrderList.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeOrderList.nb index bca2ff681..121a7291f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeOrderList.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeOrderList.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7640, 231] +NotebookDataLength[ 7641, 231] NotebookOptionsPosition[ 5565, 174] -NotebookOutlinePosition[ 7431, 223] -CellTagsIndexPosition[ 7388, 220] +NotebookOutlinePosition[ 7432, 223] +CellTagsIndexPosition[ 7389, 220] WindowTitle->PaVeOrderList WindowFrame->Normal*) @@ -83,7 +83,7 @@ PaVeOrderList.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$206768], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$207776], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PaVeOrderList", ".html"]], None}]}]}, @@ -187,7 +187,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 39.531610}", + "built" -> "{2020, 6, 20, 19, 9, 28.659114}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeReduce.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeReduce.nb index d93361ffa..0a1648ae1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeReduce.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeReduce.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 47038, 1415] -NotebookOptionsPosition[ 40712, 1208] -NotebookOutlinePosition[ 44493, 1320] -CellTagsIndexPosition[ 44377, 1314] +NotebookDataLength[ 47032, 1415] +NotebookOptionsPosition[ 40709, 1208] +NotebookOutlinePosition[ 44490, 1320] +CellTagsIndexPosition[ 44374, 1314] WindowTitle->PaVeReduce WindowFrame->Normal*) @@ -81,7 +81,7 @@ PaVeReduce.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$207652], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$208660], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PaVeReduce", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1713910284], + CellID->1846006980], Cell["", "SectionHeaderSpacer"], @@ -184,7 +184,7 @@ Cell[BoxData[ RowBox[{"WriteOutPaVe", "\[Rule]", "False"}], ",", RowBox[{"MaxIterations", "\[Rule]", "\[Infinity]"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{456, 71}, + ImageSize->{456, 73}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"PaVeReduce", @@ -211,7 +211,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1536895706], + CellID->620988512], Cell[CellGroupData[{ @@ -221,7 +221,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1759687694], + CellID->46054929], Cell[CellGroupData[{ @@ -1148,7 +1148,7 @@ D*MW2**4*S**2*T*1.84D3)\"\>"}, Column], Function[BoxForm`e$, TableForm[BoxForm`e$]]], TraditionalForm]], "Output", - ImageSize->{461, 1272}, + ImageSize->{461, 1280}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"PaVeReduce", @@ -1221,7 +1221,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 41.675133}", + "built" -> "{2020, 6, 20, 19, 9, 30.531811}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1254,67 +1254,67 @@ CellTagsIndex->{ Cell[5266, 160, 139, 4, 70, "Input", CellTags->"PaVeReduce", CellID->1685498711], - Cell[5408, 166, 994, 25, 92, "Output", + Cell[5408, 166, 994, 25, 94, "Output", CellTags->"PaVeReduce", CellID->458544387], - Cell[7097, 227, 539, 17, 45, "Input", + Cell[7094, 227, 539, 17, 45, "Input", CellTags->"PaVeReduce", CellID->311139632], - Cell[7639, 246, 266, 10, 37, "Output", + Cell[7636, 246, 266, 10, 37, "Output", CellTags->"PaVeReduce", CellID->516283693], - Cell[7942, 261, 124, 4, 27, "Input", + Cell[7939, 261, 124, 4, 27, "Input", CellTags->"PaVeReduce", CellID->927282004], - Cell[8069, 267, 5286, 178, 282, "Output", + Cell[8066, 267, 5286, 178, 282, "Output", CellTags->"PaVeReduce", CellID->1592936160], - Cell[13392, 450, 509, 16, 45, "Input", + Cell[13389, 450, 509, 16, 45, "Input", CellTags->"PaVeReduce", CellID->1031771651], - Cell[13904, 468, 634, 22, 55, "Output", + Cell[13901, 468, 634, 22, 55, "Output", CellTags->"PaVeReduce", CellID->1972744154], - Cell[14575, 495, 416, 13, 45, "Input", + Cell[14572, 495, 416, 13, 45, "Input", CellTags->"PaVeReduce", CellID->2052937684], - Cell[14994, 510, 902, 27, 85, "Output", + Cell[14991, 510, 902, 27, 85, "Output", CellTags->"PaVeReduce", CellID->1778677368], - Cell[15911, 540, 227, 8, 27, "Input", + Cell[15908, 540, 227, 8, 27, "Input", CellTags->"PaVeReduce", CellID->1002068234], - Cell[16141, 550, 179, 6, 27, "Input", + Cell[16138, 550, 179, 6, 27, "Input", CellTags->"PaVeReduce", CellID->175960789], - Cell[16345, 560, 696, 20, 45, "Input", + Cell[16342, 560, 696, 20, 45, "Input", CellTags->"PaVeReduce", CellID->1868254708], - Cell[17044, 582, 16051, 437, 845, "Output", + Cell[17041, 582, 16051, 437, 845, "Output", CellTags->"PaVeReduce", CellID->775966781], - Cell[33110, 1022, 285, 9, 27, "Input", + Cell[33107, 1022, 285, 9, 27, "Input", CellTags->"PaVeReduce", CellID->1848976065], - Cell[33420, 1035, 392, 12, 45, "Input", + Cell[33417, 1035, 392, 12, 45, "Input", CellTags->"PaVeReduce", CellID->193852328], - Cell[33815, 1049, 5837, 106, 1308, "Output", + Cell[33812, 1049, 5837, 106, 1316, "Output", CellTags->"PaVeReduce", CellID->2020509582], - Cell[39667, 1158, 293, 9, 27, "Input", + Cell[39664, 1158, 293, 9, 27, "Input", CellTags->"PaVeReduce", CellID->793776799]}, "PrimaryExamplesSection"->{ - Cell[6463, 198, 388, 15, 31, "PrimaryExamplesSection", + Cell[6463, 198, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1536895706]} + CellID->620988512]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PaVeReduce", 42545, 1252}, - {"PrimaryExamplesSection", 44233, 1307} + {"PaVeReduce", 42543, 1252}, + {"PrimaryExamplesSection", 44231, 1307} } *) (*NotebookFileOutline @@ -1328,95 +1328,95 @@ Cell[4003, 114, 440, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4468, 130, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1713910284], + CellID->1846006980], Cell[5210, 156, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5266, 160, 139, 4, 70, "Input", CellTags->"PaVeReduce", CellID->1685498711], -Cell[5408, 166, 994, 25, 92, "Output", +Cell[5408, 166, 994, 25, 94, "Output", CellTags->"PaVeReduce", CellID->458544387] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6463, 198, 388, 15, 31, "PrimaryExamplesSection", +Cell[6463, 198, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1536895706], + CellID->620988512], Cell[CellGroupData[{ -Cell[6876, 217, 196, 6, 26, "ExampleSection", - CellID->1759687694], +Cell[6875, 217, 194, 6, 26, "ExampleSection", + CellID->46054929], Cell[CellGroupData[{ -Cell[7097, 227, 539, 17, 45, "Input", +Cell[7094, 227, 539, 17, 45, "Input", CellTags->"PaVeReduce", CellID->311139632], -Cell[7639, 246, 266, 10, 37, "Output", +Cell[7636, 246, 266, 10, 37, "Output", CellTags->"PaVeReduce", CellID->516283693] }, Open ]], Cell[CellGroupData[{ -Cell[7942, 261, 124, 4, 27, "Input", +Cell[7939, 261, 124, 4, 27, "Input", CellTags->"PaVeReduce", CellID->927282004], -Cell[8069, 267, 5286, 178, 282, "Output", +Cell[8066, 267, 5286, 178, 282, "Output", CellTags->"PaVeReduce", CellID->1592936160] }, Open ]], Cell[CellGroupData[{ -Cell[13392, 450, 509, 16, 45, "Input", +Cell[13389, 450, 509, 16, 45, "Input", CellTags->"PaVeReduce", CellID->1031771651], -Cell[13904, 468, 634, 22, 55, "Output", +Cell[13901, 468, 634, 22, 55, "Output", CellTags->"PaVeReduce", CellID->1972744154] }, Open ]], Cell[CellGroupData[{ -Cell[14575, 495, 416, 13, 45, "Input", +Cell[14572, 495, 416, 13, 45, "Input", CellTags->"PaVeReduce", CellID->2052937684], -Cell[14994, 510, 902, 27, 85, "Output", +Cell[14991, 510, 902, 27, 85, "Output", CellTags->"PaVeReduce", CellID->1778677368] }, Open ]], -Cell[15911, 540, 227, 8, 27, "Input", +Cell[15908, 540, 227, 8, 27, "Input", CellTags->"PaVeReduce", CellID->1002068234], -Cell[16141, 550, 179, 6, 27, "Input", +Cell[16138, 550, 179, 6, 27, "Input", CellTags->"PaVeReduce", CellID->175960789], Cell[CellGroupData[{ -Cell[16345, 560, 696, 20, 45, "Input", +Cell[16342, 560, 696, 20, 45, "Input", CellTags->"PaVeReduce", CellID->1868254708], -Cell[17044, 582, 16051, 437, 845, "Output", +Cell[17041, 582, 16051, 437, 845, "Output", CellTags->"PaVeReduce", CellID->775966781] }, Open ]], -Cell[33110, 1022, 285, 9, 27, "Input", +Cell[33107, 1022, 285, 9, 27, "Input", CellTags->"PaVeReduce", CellID->1848976065], Cell[CellGroupData[{ -Cell[33420, 1035, 392, 12, 45, "Input", +Cell[33417, 1035, 392, 12, 45, "Input", CellTags->"PaVeReduce", CellID->193852328], -Cell[33815, 1049, 5837, 106, 1308, "Output", +Cell[33812, 1049, 5837, 106, 1316, "Output", CellTags->"PaVeReduce", CellID->2020509582] }, Open ]], -Cell[39667, 1158, 293, 9, 27, "Input", +Cell[39664, 1158, 293, 9, 27, "Input", CellTags->"PaVeReduce", CellID->793776799] }, Open ]], -Cell[39975, 1170, 31, 0, 29, "SectionFooterSpacer"] +Cell[39972, 1170, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[40043, 1175, 270, 12, 31, "SeeAlsoSection", +Cell[40040, 1175, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[40316, 1189, 354, 14, 56, "SeeAlso", +Cell[40313, 1189, 354, 14, 56, "SeeAlso", CellID->939950363] }, Open ]], -Cell[40685, 1206, 23, 0, 41, "FooterCell"] +Cell[40682, 1206, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeUVPart.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeUVPart.nb index 945de8744..98205f478 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeUVPart.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PaVeUVPart.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15943, 534] -NotebookOptionsPosition[ 11874, 413] -NotebookOutlinePosition[ 14320, 474] -CellTagsIndexPosition[ 14235, 469] +NotebookDataLength[ 21317, 750] +NotebookOptionsPosition[ 17039, 621] +NotebookOutlinePosition[ 19427, 681] +CellTagsIndexPosition[ 19342, 676] WindowTitle->PaVeUVPart WindowFrame->Normal*) @@ -80,7 +80,7 @@ PaVeUVPart.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$208097], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$209105], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PaVeUVPart", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1956058901], + CellID->849794362], Cell["", "SectionHeaderSpacer"], @@ -207,7 +207,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->887622295], + CellID->9032100], Cell[CellGroupData[{ @@ -217,7 +217,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->852270963], + CellID->92802769], Cell[CellGroupData[{ @@ -371,6 +371,214 @@ Cell[BoxData[ ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[4]=", CellID->146736684] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"k", "+", "p"}], ",", "rho"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"k", "+", "p"}], ",", "si"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{"k", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k", "+", "p"}], ",", "0", ",", "2"}], "}"}]}], + "]"}]}]}]], "Input", + CellLabel->"In[5]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "+", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "+", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["si", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D], + FeynCalc`Momentum[$CellContext`k, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "+", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k + $CellContext`p, D], + FeynCalc`Momentum[$CellContext`k + $CellContext`p, D]]], + Editable->False], "2"]}]], TraditionalForm]], "Output", + ImageSize->{141, 44}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[5]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"TID", "[", + RowBox[{"int", ",", "k", ",", + RowBox[{"UsePaVeBasis", "\[Rule]", "True"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{"%", "//", + RowBox[{ + RowBox[{"PaVeUVPart", "[", + RowBox[{"#", ",", + RowBox[{"FCE", "\[Rule]", "True"}]}], "]"}], "&"}]}]}], "Input", + CellLabel->"In[6]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["si", + TraditionalForm], + TraditionalForm]}]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"00\"\>"], "(", + RowBox[{"0", ",", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], ",", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["si", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"22\"\>"], "(", + RowBox[{"0", ",", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], ",", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{492, 22}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[6]="], + +Cell[BoxData[ + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["si", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "4"}], ")"}]}]]}], TraditionalForm]], "Output", + ImageSize->{88, 42}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[6]="] }, Open ]] }, Open ]], @@ -414,7 +622,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PaVeUVPart", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -426,7 +634,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 43.018874}", + "built" -> "{2020, 6, 20, 19, 9, 31.785234}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -450,8 +658,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -461,14 +668,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6479, 194, 387, 15, 31, "PrimaryExamplesSection", + Cell[6478, 194, 385, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->887622295]} + CellID->9032100]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14092, 462} + {"PrimaryExamplesSection", 19201, 669} } *) (*NotebookFileOutline @@ -480,62 +687,71 @@ Cell[CellGroupData[{ Cell[3990, 113, 791, 17, 170, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4806, 134, 739, 24, 31, "NotesSection", +Cell[4806, 134, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1956058901], -Cell[5548, 160, 31, 0, 70, "SectionHeaderSpacer"], + CellID->849794362], +Cell[5547, 160, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5604, 164, 113, 3, 70, "Input", +Cell[5603, 164, 113, 3, 70, "Input", CellID->617667665], -Cell[5720, 169, 698, 18, 56, "Output", +Cell[5719, 169, 698, 18, 56, "Output", CellID->717628530] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6479, 194, 387, 15, 31, "PrimaryExamplesSection", +Cell[6478, 194, 385, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->887622295], + CellID->9032100], Cell[CellGroupData[{ -Cell[6891, 213, 195, 6, 26, "ExampleSection", - CellID->852270963], +Cell[6888, 213, 194, 6, 26, "ExampleSection", + CellID->92802769], Cell[CellGroupData[{ -Cell[7111, 223, 160, 5, 27, "Input", +Cell[7107, 223, 160, 5, 27, "Input", CellID->1445277710], -Cell[7274, 230, 303, 11, 59, "Output", +Cell[7270, 230, 303, 11, 59, "Output", CellID->384429231] }, Open ]], Cell[CellGroupData[{ -Cell[7614, 246, 311, 10, 33, "Input", +Cell[7610, 246, 311, 10, 33, "Input", CellID->1518685822], -Cell[7928, 258, 341, 12, 55, "Output", +Cell[7924, 258, 341, 12, 55, "Output", CellID->319680291] }, Open ]], Cell[CellGroupData[{ -Cell[8306, 275, 414, 12, 45, "Input", +Cell[8302, 275, 414, 12, 45, "Input", CellID->759345267], -Cell[8723, 289, 406, 12, 42, "Output", +Cell[8719, 289, 406, 12, 42, "Output", CellID->812213864], -Cell[9132, 303, 305, 11, 59, "Output", +Cell[9128, 303, 305, 11, 59, "Output", CellID->1946544093] }, Open ]], Cell[CellGroupData[{ -Cell[9474, 319, 531, 14, 62, "Input", +Cell[9470, 319, 531, 14, 62, "Input", CellID->1054433755], -Cell[10008, 335, 485, 14, 42, "Output", +Cell[10004, 335, 485, 14, 42, "Output", CellID->792114270], -Cell[10496, 351, 628, 21, 62, "Output", +Cell[10492, 351, 628, 21, 62, "Output", CellID->146736684] +}, Open ]], +Cell[CellGroupData[{ +Cell[11157, 377, 416, 15, 27, "Input"], +Cell[11576, 394, 1921, 75, 65, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[13534, 474, 332, 10, 45, "Input"], +Cell[13869, 486, 1783, 68, 43, "Output"], +Cell[15655, 556, 634, 24, 63, "Output"] }, Open ]] }, Open ]], -Cell[11151, 376, 31, 0, 29, "SectionFooterSpacer"] +Cell[16316, 584, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11219, 381, 270, 12, 31, "SeeAlsoSection", +Cell[16384, 589, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11492, 395, 340, 13, 56, "SeeAlso"] +Cell[16657, 603, 340, 13, 56, "SeeAlso"] }, Open ]], -Cell[11847, 411, 23, 0, 41, "FooterCell"] +Cell[17012, 619, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Pair.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Pair.nb index 3eec0e99f..3bb562601 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Pair.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Pair.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 22852, 853] +NotebookDataLength[ 22798, 852] NotebookOptionsPosition[ 15912, 623] -NotebookOutlinePosition[ 20072, 745] -CellTagsIndexPosition[ 19964, 739] +NotebookOutlinePosition[ 20018, 744] +CellTagsIndexPosition[ 19910, 738] WindowTitle->Pair WindowFrame->Normal*) @@ -86,7 +86,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$200662], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$201670], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Pair", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1154538991], + CellID->1250639500], Cell[CellGroupData[{ @@ -165,7 +165,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->308626153], + CellID->233093306], Cell["This represents a four-dimensional metric tensor", "Notes"], @@ -624,7 +624,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Pair", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -636,7 +636,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 23.098671}", + "built" -> "{2020, 6, 20, 19, 9, 14.095559}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -659,8 +659,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -672,7 +671,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5168, 142, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1154538991]}, + CellID->1250639500]}, "Pair"->{ Cell[5869, 173, 236, 7, 27, "Input", CellTags->"Pair", @@ -738,8 +737,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 18040, 671}, - {"Pair", 18172, 675} + {"PrimaryExamplesSection", 17986, 670}, + {"Pair", 18118, 674} } *) (*NotebookFileOutline @@ -752,10 +751,10 @@ Cell[4317, 117, 826, 21, 137, "Usage", Cell[CellGroupData[{ Cell[5168, 142, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1154538991], + CellID->1250639500], Cell[CellGroupData[{ Cell[5581, 161, 195, 6, 26, "ExampleSection", - CellID->308626153], + CellID->233093306], Cell[5779, 169, 65, 0, 32, "Notes"], Cell[CellGroupData[{ Cell[5869, 173, 236, 7, 27, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairCollect.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairCollect.nb index fa5ac475a..757754b50 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairCollect.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairCollect.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7099, 215] +NotebookDataLength[ 7100, 215] NotebookOptionsPosition[ 5059, 159] -NotebookOutlinePosition[ 6891, 207] -CellTagsIndexPosition[ 6848, 204] +NotebookOutlinePosition[ 6892, 207] +CellTagsIndexPosition[ 6849, 204] WindowTitle->PairCollect WindowFrame->Normal*) @@ -80,7 +80,7 @@ PairCollect.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$198865], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$199873], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PairCollect", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 19.250026}", + "built" -> "{2020, 6, 20, 19, 9, 10.620892}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract.nb index 2fd25ea53..f8c8665e5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7032, 214] +NotebookDataLength[ 7033, 214] NotebookOptionsPosition[ 5019, 158] -NotebookOutlinePosition[ 6824, 206] -CellTagsIndexPosition[ 6781, 203] +NotebookOutlinePosition[ 6825, 206] +CellTagsIndexPosition[ 6782, 203] WindowTitle->PairContract WindowFrame->Normal*) @@ -80,7 +80,7 @@ PairContract.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$200201], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$201209], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PairContract", ".html"]], None}]}]}, @@ -171,7 +171,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 22.097578}", + "built" -> "{2020, 6, 20, 19, 9, 13.280272}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract2.nb index fe9d83848..bcdaaf06d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7357, 223] +NotebookDataLength[ 7358, 223] NotebookOptionsPosition[ 5321, 167] -NotebookOutlinePosition[ 7148, 215] -CellTagsIndexPosition[ 7105, 212] +NotebookOutlinePosition[ 7149, 215] +CellTagsIndexPosition[ 7106, 212] WindowTitle->PairContract2 WindowFrame->Normal*) @@ -82,7 +82,7 @@ PairContract2.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$199310], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$200318], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PairContract2", ".html"]], None}]}]}, @@ -180,7 +180,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 20.237305}", + "built" -> "{2020, 6, 20, 19, 9, 11.423615}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract3.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract3.nb index e2fd1abdf..78d31e439 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract3.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PairContract3.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7357, 223] +NotebookDataLength[ 7358, 223] NotebookOptionsPosition[ 5321, 167] -NotebookOutlinePosition[ 7148, 215] -CellTagsIndexPosition[ 7105, 212] +NotebookOutlinePosition[ 7149, 215] +CellTagsIndexPosition[ 7106, 212] WindowTitle->PairContract3 WindowFrame->Normal*) @@ -82,7 +82,7 @@ PairContract3.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$199756], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$200764], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PairContract3", ".html"]], None}]}]}, @@ -180,7 +180,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 21.243269}", + "built" -> "{2020, 6, 20, 19, 9, 12.230805}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialDRelations.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialDRelations.nb index ae47076e9..11b7128a4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialDRelations.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialDRelations.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12638, 422] +NotebookDataLength[ 12583, 421] NotebookOptionsPosition[ 9176, 321] -NotebookOutlinePosition[ 11737, 390] -CellTagsIndexPosition[ 11616, 384] +NotebookOutlinePosition[ 11682, 389] +CellTagsIndexPosition[ 11561, 383] WindowTitle->PartialDRelations WindowFrame->Normal*) @@ -86,7 +86,7 @@ PartialDRelations.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$201116], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$202124], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PartialDRelations", ".html"]], None}]}]}, @@ -146,7 +146,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->903885071], + CellID->1552004746], Cell[CellGroupData[{ @@ -156,7 +156,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1255266426], + CellID->515119157], Cell[CellGroupData[{ @@ -322,7 +322,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PartialDRelations", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -334,7 +334,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 24.270162}", + "built" -> "{2020, 6, 20, 19, 9, 15.126463}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -354,8 +354,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -365,9 +364,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4785, 133, 387, 15, 31, "PrimaryExamplesSection", + Cell[4785, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->903885071]}, + CellID->1552004746]}, "PartialDRelations"->{ Cell[5418, 162, 362, 11, 27, "Input", CellTags->"PartialDRelations", @@ -383,8 +382,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11100, 366}, - {"PartialDRelations", 11244, 370} + {"PrimaryExamplesSection", 11044, 365}, + {"PartialDRelations", 11189, 369} } *) (*NotebookFileOutline @@ -395,12 +394,12 @@ Cell[4049, 104, 294, 11, 45, "ObjectNameGrid"], Cell[4346, 117, 414, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4785, 133, 387, 15, 31, "PrimaryExamplesSection", +Cell[4785, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->903885071], + CellID->1552004746], Cell[CellGroupData[{ -Cell[5197, 152, 196, 6, 26, "ExampleSection", - CellID->1255266426], +Cell[5198, 152, 195, 6, 26, "ExampleSection", + CellID->515119157], Cell[CellGroupData[{ Cell[5418, 162, 362, 11, 27, "Input", CellTags->"PartialDRelations", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialFourVector.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialFourVector.nb index 70eb399cf..0e73df40a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialFourVector.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialFourVector.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10163, 329] -NotebookOptionsPosition[ 7008, 239] -NotebookOutlinePosition[ 9461, 304] -CellTagsIndexPosition[ 9342, 298] +NotebookDataLength[ 10111, 328] +NotebookOptionsPosition[ 7010, 239] +NotebookOutlinePosition[ 9407, 303] +CellTagsIndexPosition[ 9288, 297] WindowTitle->PartialFourVector WindowFrame->Normal*) @@ -80,7 +80,7 @@ PartialFourVector.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$201555], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$202563], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PartialFourVector", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1514889249], + CellID->1944224300], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->29019256], + CellID->1959617591], Cell[CellGroupData[{ @@ -240,7 +240,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PartialFourVector", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -252,7 +252,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 25.291809}", + "built" -> "{2020, 6, 20, 19, 9, 16.136569}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -273,8 +273,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -286,19 +285,19 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4628, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1514889249]}, + CellID->1944224300]}, "PartialFourVector"->{ - Cell[5260, 160, 383, 12, 40, "Input", + Cell[5262, 160, 383, 12, 40, "Input", CellTags->"PartialFourVector", CellID->877301924], - Cell[5646, 174, 618, 24, 43, "Output", + Cell[5648, 174, 618, 24, 43, "Output", CellTags->"PartialFourVector"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9000, 285}, - {"PartialFourVector", 9145, 289} + {"PrimaryExamplesSection", 8946, 284}, + {"PartialFourVector", 9091, 288} } *) (*NotebookFileOutline @@ -311,26 +310,26 @@ Cell[4006, 111, 597, 16, 102, "Usage", Cell[CellGroupData[{ Cell[4628, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1514889249], + CellID->1944224300], Cell[CellGroupData[{ -Cell[5041, 150, 194, 6, 26, "ExampleSection", - CellID->29019256], +Cell[5041, 150, 196, 6, 26, "ExampleSection", + CellID->1959617591], Cell[CellGroupData[{ -Cell[5260, 160, 383, 12, 40, "Input", +Cell[5262, 160, 383, 12, 40, "Input", CellTags->"PartialFourVector", CellID->877301924], -Cell[5646, 174, 618, 24, 43, "Output", +Cell[5648, 174, 618, 24, 43, "Output", CellTags->"PartialFourVector"] }, Open ]] }, Open ]], -Cell[6291, 202, 31, 0, 29, "SectionFooterSpacer"] +Cell[6293, 202, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6359, 207, 270, 12, 31, "SeeAlsoSection", +Cell[6361, 207, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6632, 221, 334, 13, 56, "SeeAlso"] +Cell[6634, 221, 334, 13, 56, "SeeAlso"] }, Open ]], -Cell[6981, 237, 23, 0, 41, "FooterCell"] +Cell[6983, 237, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialIntegrate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialIntegrate.nb index bef0cbb1a..53b783866 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialIntegrate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartialIntegrate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16071, 555] +NotebookDataLength[ 16015, 554] NotebookOptionsPosition[ 10799, 395] -NotebookOutlinePosition[ 14249, 489] -CellTagsIndexPosition[ 14129, 483] +NotebookOutlinePosition[ 14193, 488] +CellTagsIndexPosition[ 14073, 482] WindowTitle->PartialIntegrate WindowFrame->Normal*) @@ -59,7 +59,7 @@ PartialIntegrate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$201988], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$202996], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PartialIntegrate", ".html"]], None}]}]}, @@ -133,7 +133,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1636965545], + CellID->492886887], Cell["", "SectionHeaderSpacer"], @@ -177,7 +177,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1910558346], + CellID->1614921283], Cell[CellGroupData[{ @@ -187,7 +187,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->740972048], + CellID->1308039257], Cell[CellGroupData[{ @@ -408,7 +408,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 26.375258}", + "built" -> "{2020, 6, 20, 19, 9, 17.175232}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -429,8 +429,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -440,10 +439,10 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PartialIntegrate"->{ - Cell[4622, 141, 150, 4, 70, "Input", + Cell[4621, 141, 150, 4, 70, "Input", CellTags->"PartialIntegrate", CellID->1554098382], - Cell[4775, 147, 291, 10, 37, "Output", + Cell[4774, 147, 291, 10, 37, "Output", CellTags->"PartialIntegrate", CellID->1807152704], Cell[5760, 193, 343, 11, 27, "Input", @@ -475,15 +474,15 @@ CellTagsIndex->{ CellTags->"PartialIntegrate", CellID->1553816606]}, "PrimaryExamplesSection"->{ - Cell[5127, 164, 388, 15, 31, "PrimaryExamplesSection", + Cell[5126, 164, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1910558346]} + CellID->1614921283]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PartialIntegrate", 12805, 441}, - {"PrimaryExamplesSection", 13985, 476} + {"PartialIntegrate", 12749, 440}, + {"PrimaryExamplesSection", 13929, 475} } *) (*NotebookFileOutline @@ -495,27 +494,27 @@ Cell[CellGroupData[{ Cell[3215, 91, 584, 16, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3824, 111, 739, 24, 31, "NotesSection", +Cell[3824, 111, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1636965545], -Cell[4566, 137, 31, 0, 70, "SectionHeaderSpacer"], + CellID->492886887], +Cell[4565, 137, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4622, 141, 150, 4, 70, "Input", +Cell[4621, 141, 150, 4, 70, "Input", CellTags->"PartialIntegrate", CellID->1554098382], -Cell[4775, 147, 291, 10, 37, "Output", +Cell[4774, 147, 291, 10, 37, "Output", CellTags->"PartialIntegrate", CellID->1807152704] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5127, 164, 388, 15, 31, "PrimaryExamplesSection", +Cell[5126, 164, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1910558346], + CellID->1614921283], Cell[CellGroupData[{ -Cell[5540, 183, 195, 6, 26, "ExampleSection", - CellID->740972048], +Cell[5539, 183, 196, 6, 26, "ExampleSection", + CellID->1308039257], Cell[CellGroupData[{ Cell[5760, 193, 343, 11, 27, "Input", CellTags->"PartialIntegrate", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartitHead.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartitHead.nb index a18055d26..e77c1a181 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartitHead.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PartitHead.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5577, 159] +NotebookDataLength[ 5578, 159] NotebookOptionsPosition[ 3665, 107] -NotebookOutlinePosition[ 5513, 156] -CellTagsIndexPosition[ 5470, 153] +NotebookOutlinePosition[ 5514, 156] +CellTagsIndexPosition[ 5471, 153] WindowTitle->PartitHead WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$202421], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$203429], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PartitHead", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 27.586680}", + "built" -> "{2020, 6, 20, 19, 9, 18.231742}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliEta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliEta.nb index f4648f21d..8cb26a152 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliEta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliEta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9459, 324] -NotebookOptionsPosition[ 6427, 231] -NotebookOutlinePosition[ 8542, 288] -CellTagsIndexPosition[ 8458, 283] +NotebookDataLength[ 9405, 323] +NotebookOptionsPosition[ 6428, 231] +NotebookOutlinePosition[ 8487, 287] +CellTagsIndexPosition[ 8403, 282] WindowTitle->PauliEta WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$202856], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$203864], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PauliEta", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1806999093], + CellID->1544634769], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->242148617], + CellID->1151271030], Cell[CellGroupData[{ @@ -244,7 +244,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 28.570365}", + "built" -> "{2020, 6, 20, 19, 9, 19.045537}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -264,8 +264,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -277,12 +276,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3666, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1806999093]} + CellID->1544634769]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8314, 276} + {"PrimaryExamplesSection", 8259, 275} } *) (*NotebookFileOutline @@ -295,37 +294,37 @@ Cell[3144, 89, 497, 14, 85, "Usage", Cell[CellGroupData[{ Cell[3666, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1806999093], + CellID->1544634769], Cell[CellGroupData[{ -Cell[4079, 126, 195, 6, 26, "ExampleSection", - CellID->242148617], +Cell[4079, 126, 196, 6, 26, "ExampleSection", + CellID->1151271030], Cell[CellGroupData[{ -Cell[4299, 136, 105, 3, 27, "Input", +Cell[4300, 136, 105, 3, 27, "Input", CellID->1157004633], -Cell[4407, 141, 191, 6, 37, "Output", +Cell[4408, 141, 191, 6, 37, "Output", CellID->277278612] }, Open ]], Cell[CellGroupData[{ -Cell[4635, 152, 122, 4, 27, "Input", +Cell[4636, 152, 122, 4, 27, "Input", CellID->717279545], -Cell[4760, 158, 224, 7, 40, "Output", +Cell[4761, 158, 224, 7, 40, "Output", CellID->1183914614] }, Open ]], Cell[CellGroupData[{ -Cell[5021, 170, 221, 7, 27, "Input", +Cell[5022, 170, 221, 7, 27, "Input", CellID->1769020709], -Cell[5245, 179, 504, 18, 40, "Output", +Cell[5246, 179, 504, 18, 40, "Output", CellID->193595258] }, Open ]], Cell[CellGroupData[{ -Cell[5786, 202, 108, 3, 27, "Input", +Cell[5787, 202, 108, 3, 27, "Input", CellID->306922129], -Cell[5897, 207, 464, 17, 40, "Output", +Cell[5898, 207, 464, 17, 40, "Output", CellID->1685683644] }, Open ]] }, Open ]] }, Open ]], -Cell[6400, 229, 23, 0, 41, "FooterCell"] +Cell[6401, 229, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliOrder.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliOrder.nb index 6c46918c0..1f5319be6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliOrder.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliOrder.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18612, 651] -NotebookOptionsPosition[ 14797, 532] -NotebookOutlinePosition[ 17116, 594] -CellTagsIndexPosition[ 16996, 588] +NotebookDataLength[ 18551, 650] +NotebookOptionsPosition[ 14795, 532] +NotebookOutlinePosition[ 17057, 593] +CellTagsIndexPosition[ 16937, 587] WindowTitle->PauliOrder WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$203286], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$204294], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PauliOrder", ".html"]], None}]}]}, @@ -130,7 +130,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1498210237], + CellID->1535527235], Cell["", "SectionHeaderSpacer"], @@ -180,7 +180,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1240066917], + CellID->46747839], Cell[CellGroupData[{ @@ -190,7 +190,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1647391173], + CellID->255657016], Cell[CellGroupData[{ @@ -291,7 +291,7 @@ P98SvcdPz+xBNacrz07IyMvPi/feuvqK3BqWHufIThrlk423Ci/H+jp6f9wg eXq7YXmq8eeqnr++8nE4IBhgfjOJnn3i4jESMACKke8PBdeK8U9k5O4/hnII 0EUCaw2yTgwhT1x/mpcmlOgYrNCF7ksH7V1TmlZnAqKawxxzh6jSP1taWtv7 SG39o3NtuZFhVzqk6OKDbA/7gxWTT97d5bGyICfrnW8Ef1IxynwPp2mfoHjs -BAwBwT7OwN1fb5BGCLBFAmsNsE4MIU+5Im7MSSns0f1y1Ujxm9ZbXr2gXqvN +BAwBwT7OwN1fb5BGCLBFAmsNsE4MIU+5ImnMSSns0f1y1Ujxm9ZbXr2gXqvN NUXYWTidorDJuNR7zsc9Vv3B2YYQ7utFI4bbHF4e+zHm8NsbCDrToKuKmbGv ZDKBdft+7ts4XgdYYV8NEyEQu/uw1sCDAm1QNSEovVjYOadnvTErDLY14xyp l6xdeKjAe+tLIb9MkX4AKcbKfB39ytf+H6h6uvh7JXUuUNMLDDP2lZuTAP5z @@ -299,7 +299,7 @@ nDH7GkHsKQNYa9BBQTaIDFdevt6sXhStSLorqsY2bPZJ22KdzW14NSLl6jt9 mV7c0G8HKexnotNV7+7wEQzKVXOQrhxeRNEwK17gYMq+cnMSwOvjDNpXw6Iy oG1NIW4pv90uUcC0ZogG1xqd+jXezdL038W86XP7Lmnv58vHbifzfII++6b4 albK+YqBRWobjKi0My+SF5v3XUHu5zc65gy+3UQAJu0rNyUBzD7OsH01LCoD -utYkwpNubifrNSsAgKDAGzRixIgRI0aM/Jf5B2J4rcQ= +utYkwpNubifrNSsAgKDAGzRixIgRI0aM/Jf5B6Vircc= "], {{0, 18}, {332, 0}}, {0, 255}, ColorFunction->RGBColor], @@ -314,7 +314,7 @@ utYkwpNubifrNSsAgKDAGzRixIgRI0aM/Jf5B2J4rcQ= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[2]=", - CellID->703811211] + CellID->1450302526] }, Open ]], Cell[CellGroupData[{ @@ -532,8 +532,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PauliOrder", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -545,7 +545,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 29.849140}", + "built" -> "{2020, 6, 20, 19, 9, 20.080381}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -565,8 +565,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -576,19 +575,19 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5335, 167, 388, 15, 31, "PrimaryExamplesSection", + Cell[5335, 167, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1240066917]}, + CellID->46747839]}, "RasterizedOutput"->{ - Cell[7566, 267, 2466, 49, 40, "Output", + Cell[7563, 267, 2467, 49, 40, "Output", CellTags->"RasterizedOutput", - CellID->703811211]} + CellID->1450302526]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16730, 577}, - {"RasterizedOutput", 16874, 581} + {"PrimaryExamplesSection", 16672, 576}, + {"RasterizedOutput", 16814, 580} } *) (*NotebookFileOutline @@ -602,7 +601,7 @@ Cell[3178, 91, 476, 13, 102, "Usage", Cell[CellGroupData[{ Cell[3679, 108, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1498210237], + CellID->1535527235], Cell[4421, 134, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4477, 138, 114, 3, 70, "Input", @@ -613,46 +612,46 @@ Cell[4594, 143, 680, 17, 56, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5335, 167, 388, 15, 31, "PrimaryExamplesSection", +Cell[5335, 167, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1240066917], + CellID->46747839], Cell[CellGroupData[{ -Cell[5748, 186, 196, 6, 26, "ExampleSection", - CellID->1647391173], +Cell[5746, 186, 195, 6, 26, "ExampleSection", + CellID->255657016], Cell[CellGroupData[{ -Cell[5969, 196, 133, 4, 27, "Input", +Cell[5966, 196, 133, 4, 27, "Input", CellID->1633341388], -Cell[6105, 202, 1315, 55, 39, "Output", +Cell[6102, 202, 1315, 55, 39, "Output", CellID->1809751487] }, Open ]], Cell[CellGroupData[{ -Cell[7457, 262, 106, 3, 27, "Input", +Cell[7454, 262, 106, 3, 27, "Input", CellID->997524077], -Cell[7566, 267, 2466, 49, 40, "Output", +Cell[7563, 267, 2467, 49, 40, "Output", CellTags->"RasterizedOutput", - CellID->703811211] + CellID->1450302526] }, Open ]], Cell[CellGroupData[{ -Cell[10069, 321, 131, 4, 27, "Input", +Cell[10067, 321, 131, 4, 27, "Input", CellID->5485257], -Cell[10203, 327, 1221, 52, 39, "Output", +Cell[10201, 327, 1221, 52, 39, "Output", CellID->759353013] }, Open ]], Cell[CellGroupData[{ -Cell[11461, 384, 107, 3, 27, "Input", +Cell[11459, 384, 107, 3, 27, "Input", CellID->1804070708], -Cell[11571, 389, 1081, 46, 39, "Output", +Cell[11569, 389, 1081, 46, 39, "Output", CellID->1298014942] }, Open ]], Cell[CellGroupData[{ -Cell[12689, 440, 190, 6, 27, "Input", +Cell[12687, 440, 190, 6, 27, "Input", CellID->2068399078], -Cell[12882, 448, 1849, 77, 39, "Output", +Cell[12880, 448, 1849, 77, 39, "Output", CellID->1348167359] }, Open ]] }, Open ]] }, Open ]], -Cell[14770, 530, 23, 0, 41, "FooterCell"] +Cell[14768, 530, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigma.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigma.nb index d07550600..d12a903e9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigma.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigma.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15445, 557] +NotebookDataLength[ 15388, 556] NotebookOptionsPosition[ 11972, 454] -NotebookOutlinePosition[ 14205, 512] -CellTagsIndexPosition[ 14120, 507] +NotebookOutlinePosition[ 14148, 511] +CellTagsIndexPosition[ 14063, 506] WindowTitle->PauliSigma WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$204582], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$205590], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PauliSigma", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1820053215], + CellID->735395322], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->71676832], + CellID->121780438], Cell[CellGroupData[{ @@ -467,7 +467,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 33.567808}", + "built" -> "{2020, 6, 20, 19, 9, 23.279961}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -488,8 +488,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -499,14 +498,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3748, 107, 388, 15, 31, "PrimaryExamplesSection", + Cell[3748, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1820053215]} + CellID->735395322]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13976, 500} + {"PrimaryExamplesSection", 13920, 499} } *) (*NotebookFileOutline @@ -517,12 +516,12 @@ Cell[2866, 76, 287, 11, 45, "ObjectNameGrid"], Cell[3156, 89, 567, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3748, 107, 388, 15, 31, "PrimaryExamplesSection", +Cell[3748, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1820053215], + CellID->735395322], Cell[CellGroupData[{ -Cell[4161, 126, 194, 6, 26, "ExampleSection", - CellID->71676832], +Cell[4160, 126, 195, 6, 26, "ExampleSection", + CellID->121780438], Cell[CellGroupData[{ Cell[4380, 136, 132, 3, 27, "Input"], Cell[4515, 141, 298, 11, 35, "Output"] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigmaCombine.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigmaCombine.nb index 4d579b93e..d7b9e1123 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigmaCombine.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigmaCombine.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13186, 475] -NotebookOptionsPosition[ 9616, 362] -NotebookOutlinePosition[ 11736, 419] -CellTagsIndexPosition[ 11651, 414] +NotebookDataLength[ 13132, 474] +NotebookOptionsPosition[ 9617, 362] +NotebookOutlinePosition[ 11681, 418] +CellTagsIndexPosition[ 11596, 413] WindowTitle->PauliSigmaCombine WindowFrame->Normal*) @@ -59,7 +59,7 @@ PauliSigmaCombine.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$203718], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$204726], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PauliSigmaCombine", ".html"]], None}]}]}, @@ -129,7 +129,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->548299899], + CellID->1814767810], Cell["", "SectionHeaderSpacer"], @@ -173,7 +173,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2119726070], + CellID->1488664042], Cell[CellGroupData[{ @@ -183,7 +183,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->139676244], + CellID->850381010], Cell[CellGroupData[{ @@ -362,8 +362,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PauliSigmaCombine", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -375,7 +375,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 31.019154}", + "built" -> "{2020, 6, 20, 19, 9, 21.153253}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -395,8 +395,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -406,14 +405,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4973, 160, 388, 15, 31, "PrimaryExamplesSection", + Cell[4974, 160, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2119726070]} + CellID->1488664042]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11507, 407} + {"PrimaryExamplesSection", 11452, 406} } *) (*NotebookFileOutline @@ -425,58 +424,58 @@ Cell[CellGroupData[{ Cell[3221, 91, 409, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3655, 107, 738, 24, 31, "NotesSection", +Cell[3655, 107, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->548299899], -Cell[4396, 133, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1814767810], +Cell[4397, 133, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4452, 137, 119, 3, 70, "Input", +Cell[4453, 137, 119, 3, 70, "Input", CellID->112848552], -Cell[4574, 142, 338, 11, 37, "Output", +Cell[4575, 142, 338, 11, 37, "Output", CellID->1257983067] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4973, 160, 388, 15, 31, "PrimaryExamplesSection", +Cell[4974, 160, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2119726070], + CellID->1488664042], Cell[CellGroupData[{ -Cell[5386, 179, 195, 6, 26, "ExampleSection", - CellID->139676244], +Cell[5387, 179, 195, 6, 26, "ExampleSection", + CellID->850381010], Cell[CellGroupData[{ -Cell[5606, 189, 153, 5, 27, "Input", +Cell[5607, 189, 153, 5, 27, "Input", CellID->1929257165], -Cell[5762, 196, 630, 25, 37, "Output", +Cell[5763, 196, 630, 25, 37, "Output", CellID->1908821994] }, Open ]], Cell[CellGroupData[{ -Cell[6429, 226, 113, 3, 27, "Input", +Cell[6430, 226, 113, 3, 27, "Input", CellID->787757974], -Cell[6545, 231, 495, 19, 37, "Output", +Cell[6546, 231, 495, 19, 37, "Output", CellID->942083614] }, Open ]], Cell[CellGroupData[{ -Cell[7077, 255, 104, 3, 27, "Input", +Cell[7078, 255, 104, 3, 27, "Input", CellID->1203087577], -Cell[7184, 260, 190, 6, 37, "Output", +Cell[7185, 260, 190, 6, 37, "Output", CellID->705850805] }, Open ]], Cell[CellGroupData[{ -Cell[7411, 271, 329, 11, 27, "Input", +Cell[7412, 271, 329, 11, 27, "Input", CellID->603891002], -Cell[7743, 284, 943, 35, 43, "Output", +Cell[7744, 284, 943, 35, 43, "Output", CellID->2088402094] }, Open ]], Cell[CellGroupData[{ -Cell[8723, 324, 113, 3, 27, "Input", +Cell[8724, 324, 113, 3, 27, "Input", CellID->742653397], -Cell[8839, 329, 711, 26, 43, "Output", +Cell[8840, 329, 711, 26, 43, "Output", CellID->257797074] }, Open ]] }, Open ]] }, Open ]], -Cell[9589, 360, 23, 0, 41, "FooterCell"] +Cell[9590, 360, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigmaExpand.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigmaExpand.nb index a348dd8e0..3e6d199b0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigmaExpand.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSigmaExpand.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15098, 546] +NotebookDataLength[ 15039, 545] NotebookOptionsPosition[ 11468, 432] -NotebookOutlinePosition[ 13643, 490] -CellTagsIndexPosition[ 13558, 485] +NotebookOutlinePosition[ 13583, 489] +CellTagsIndexPosition[ 13498, 484] WindowTitle->PauliSigmaExpand WindowFrame->Normal*) @@ -59,7 +59,7 @@ PauliSigmaExpand.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$204150], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$205158], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PauliSigmaExpand", ".html"]], None}]}]}, @@ -129,7 +129,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1785023302], + CellID->1035659819], Cell["", "SectionHeaderSpacer"], @@ -173,7 +173,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2086613689], + CellID->797605193], Cell[CellGroupData[{ @@ -183,7 +183,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->603372099], + CellID->1148724343], Cell[CellGroupData[{ @@ -432,8 +432,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"PauliSigmaExpand", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -445,7 +445,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 32.270081}", + "built" -> "{2020, 6, 20, 19, 9, 22.262918}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -466,8 +466,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -477,14 +476,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5006, 160, 388, 15, 31, "PrimaryExamplesSection", + Cell[5006, 160, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2086613689]} + CellID->797605193]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13414, 478} + {"PrimaryExamplesSection", 13355, 477} } *) (*NotebookFileOutline @@ -493,12 +492,12 @@ Cell[588, 21, 2306, 53, 53, "AnchorBarGrid", CellID->1], Cell[2897, 76, 293, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[3215, 91, 457, 12, 85, "Usage", +Cell[3215, 91, 457, 12, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[3697, 107, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1785023302], + CellID->1035659819], Cell[4439, 133, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4495, 137, 118, 3, 70, "Input", @@ -509,12 +508,12 @@ Cell[4616, 142, 329, 11, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5006, 160, 388, 15, 31, "PrimaryExamplesSection", +Cell[5006, 160, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2086613689], + CellID->797605193], Cell[CellGroupData[{ -Cell[5419, 179, 195, 6, 26, "ExampleSection", - CellID->603372099], +Cell[5418, 179, 196, 6, 26, "ExampleSection", + CellID->1148724343], Cell[CellGroupData[{ Cell[5639, 189, 176, 6, 27, "Input", CellID->796036632], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSimplify.nb index c5f7a27a2..1ad1f211d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 38492, 1222] -NotebookOptionsPosition[ 33577, 1064] -NotebookOutlinePosition[ 36093, 1132] -CellTagsIndexPosition[ 35971, 1126] +NotebookDataLength[ 38523, 1222] +NotebookOptionsPosition[ 33603, 1064] +NotebookOutlinePosition[ 36122, 1132] +CellTagsIndexPosition[ 36000, 1126] WindowTitle->PauliSimplify WindowFrame->Normal*) @@ -80,7 +80,7 @@ PauliSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$205018], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$206026], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PauliSimplify", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->862007093], + CellID->512182867], Cell["", "SectionHeaderSpacer"], @@ -208,7 +208,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1332408565], + CellID->1899085379], Cell[CellGroupData[{ @@ -218,7 +218,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2107597735], + CellID->1973350643], Cell[CellGroupData[{ @@ -551,94 +551,94 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnQlUE9cagEU0VEUKBEQWBRQQUeRBe4q4lcKrig9FUcG2WqsV3MGllfqO -ry49iqJUa0UQpUpRqQuWgz1C64Iigg9RhKJsPgGFoLKELYEsTB4YVDSZ/WYy -JPc7xx6pZDL/9/93mZk7M7ZLQ/2D+/bp02fje53/8V8S9smGDUs2zzXs/GF+ -yMaVy0OClvmEfBO0PGjD+KW6nf9zTOcf+87f7/q7DAKBQCAQCBMgUkTdu9A7 -0AxRmhFFrwCqhvQeJHW3U/58LKRdsh2tJWkpuXypwvZfpG2e5+HgEHidrwnN -Ai1MgmDY1gxRYKMgUpw0M6I6YMuCaAQdjf+NDPadONr2H59HPRDQqjVBfqid -6aToCjHNXZJWn3Q3GbniXqviPzVlBlpZzr2mjjYBUJQcjDCJgG1bM0QBjIJI -cdLMiOrQ7JYF0Rrayk/+crepQyYqPzpl5L+u8WltDBE11IsA1CsibqhqUTbF -bMkNsh02P60w5XhMdHTs6ewG5uahQEXJQQ2T4McxbGuGKKBREClOmhlRHZrc -siDaAyIVys/XCvJCJi7LaaG6HVHVmbB54+3GbiwQ0tofaV361gA3i6FeSc86 -FP5RWLDOwTogLSdmtotPWEJGUT3d2R4JQImSgxkmPni2NUMUsCiIFCfNjKgO -jW9ZEO1D8HdEUOz/2il/HhGV/zbF1PrrO1jdS5gCNTU1CnuSt9qW65FQrTi9 -anu4xZFr7zfdb9f1OgnlPaUJXVGvt4MaphxMVzi2NUMUqSjo6Hq1wzgZURNa -07IgWgLSUnj6WEYdrVMVdak+ZlafZTbh/J6o+uKhqCOHd4fM9F6VVqvkG4WF -YfbcD2IqFadXorI9Y/U5hnr6zuGl9Lt7SgAQ1Q16mG9Ad4VtWzNEkY6Cqq5u -iGQEH0RYlhDi5WCqb2Q7aXV8Kf2L+1rSsiC9HMUJj/LJD9JW+WfSjefirmUr -lWXNCnVKbCP8a3MtzP2uNuA0L3HFiaUnKyVd3/q8ulVJm2gv+cHJ2DnykUjx -o+VRrsb2axOCRgwaHpTZBO6SJqOicMPsETCqK2zbmiGKdBRUdXVDJCP4CB/+ -GBp1+7lIXJ8bNWvo+y4RZWjbIyyTXS2LTJFT2Qip7UBYhYRfkn7q0OG/rpz5 -eef2PfFZtYoHyuKq04tGjRg1phOnsZO3FFI5PyytvbxtgaM+h+u19V4LTqto -Lzvg47stvR5l3it6fGAcd/SO4nfnWKKnies+NeMMsFkQuth5sK6e5eyIYiK7 -Kn1+cfnanGa8X2NI1GvQwnwb5a6wbVMVRRCGRFGKgoquN99IKCMynIoSP0u/ -UtPdnwvurxlhORProARfJotbFk0IFBKkN9Gcu8HDuL+OTl+OkY2TnVF/nb6G -U+KeUMoqIiw7v2P15sjoyJWuBl3PNnjJAKedZA+9xS+yzsTtD3a3dP32VuPb -FywltVkXUosfHHSzmBhVDuxCpbTq1099cVZHMSqKeJgYrtQEGyvqNZR1kSw8 -IhX1kpY7S0Z7oJ+bAyizCwZbFv3cAY4dwgY6G8Z4g35mc5J4Ellz9mKr/v0s -F1JYKIQICvd6mjusz+46ym64Oo3LsQg8ffPOndy8UlJrRpHmexEB/gfutyJt -RTuczD2TX/RsFRJe4gwrQ5sJvt8lVwNcFUOoc2BQFMEwsV2pDZZV1JsN0tBF -tvAIDjcIP2OV98bMRvRDEkAyZcy2LBK5a3t8/qfYTKVHW+Bih6gaCe/c0mkf -v8OMNbfeKe2OZ0meRp0pfXnnVlPWAvN++h/GVpKeQkiq4icbDhqzW34Sujl7 -/lA9q8XYS3yU0l6y080xWP7BpluzbD86UaW66cwbRR6ORlyXiSiK5LBMlIxJ -VwRrSQ77RMlhQhepipJ18LPC18cVYy0UACRTxmzLIpE7SfWpacMcVyq7pZRs -7KSqFKIOkLpLPib9TKZfqkNkSP3lQHM9U99zNeQnj02Zvqa63OkZjV0/SCpj -XA2GzPqjlvRkW8pLdLf0OP9yyX/n3GaSS2i+gPS+kIfAXJRlomRqc4UH+0TJ -YVYXfkUhwrLTe+LymzH7QlAyGQ4fSO7AxQ5hCQg/3d9Md6DzvlJhS/GvX1ob -2Cw6y6My6Wm9F2zNMfa+2iDrepbGVhdbv2MVFFbvIHWpU4e5RVWIOw/HC8K9 -5594ysiNZAQ6B5aJkqnNFQ4sFNW9Y4zqwqso0dOU/bE58ssnHY2Fyak8ZbEB -k8lw+CByBzB2CEtozl5kyXnPzHaIgYHRcPcvdl9+RrUIxbzf13m7zfjP0fhD -29bvSi5vo3YEi7TmRwZ4B0f+EhOx/fj9ZoauReAPN6wTJVOXKxzYKEoOo7ow -K0pae2nlqAE6ry6f6wwct1f5ympwMhkOH0DuQMYOYQWtd1dYcwwmJPLgISo2 -UBRBoCiAaLNMbY5dQxHkrRuhN5D2TWuaDxRFECgKINosU5tj10TET+ID3Uz1 -dProDrLz3nQX9xZHrQWKIggUBRBtlqnNsUMgEAgEAoFAIBAIBAKBQCAQCAQC -gUAgEAgEAoFA1Awihc9BUg40oxagdvYAc0EcjXDV0VqSlpLLp3qHlqTudsqf -j5U+uVDyIm3zPA8Hh8DrfA3wBBKwZjBS8BqaWdYMAGqn7fwICqx7ExmdygHU -OfQCV0TqARc01RrkSlp90t1k5AplT3klgiA/1M50UnSF8odWNGUGWlnOvQZH -GwUAmsFOgRyaWdYYQGnXHud0otCezoFIPeCCoVpzXCHihipq7ySRf1zUUC9C -sdCSG2Q7bH5aYcrxmOjo2NPZDdo9ue4BUDNYKXj9O/SyrCGA007XuYRflJ5y -I+fy2YTzWc9Z/YAxOpUDpnPoDa6I1AP+RtBUa4YraV361gA3i6FeSc+oPAVQ -VHUmbN54u7EbC5S/mlZYsM7BOiAtJ2a2i09YQkZRPcvCVx/AzOCloAuaWdYg -wGin77z98UE/s/66+qMm/vMDY46B+xHUF4SqFzqVA6pzYL8rIvWAC6ZqjXEl -yFtty/VIqMaYvYQp8Oo0ICIq/22KqfXXKO/Ranu4xZFr7zfdb9f1Ovgw8p6Q -NUM5Bd0QyLI2AKggAThvzQ2yNpl0iicVFm6yN7D/7kEb9d1RKdQrB1jnwHpX -xOoBF3TVTLtChGUJIV4OpvpGtpNWx5fSvCDVA2FhmD33A/S3r3chqr54KOrI -4d0hM71XpdX2lIHUpfqYWX2W2aT8c2V7xupzDPX0ncMpv62eDYCXT9oM1RR0 -QyTLbKb90f7AgMgyut0MqIKk71xYsGGkyfj4Kom05twnpsO/ysLcFCkAueqG -RuWA6hzY74pQPeCCrpppV8KHP4ZG3X4uEtfnRs0a+r5LRBnao1cVp8HKpsSv -aS/5wckY50mu4ooTS092vQUWaXte3fpWV8e/NtfC3O9qg9IOWFwe5WpsvzYh -aMSg4UGZTXidNJndBhI7UcDLJ2mGegq6wc8ya+XL6WjKu3AhrxHlfI7KtKNA -33lb0feOXJefy9sab34z1nrWcZAvTwPjikgU2IDqHNjvilA94IKummlX4mfp -V2q6d0Nwf80Iy5lYA6mEX5J+6tDhv66c+Xnn9j3xWbXoh1+ixwfGcUfvKMYe -MtvLDvj4bkuvf/sgT1p7edsCR30O12vrvRYFBaKnies+NeMMsFkQuth5sK6e -5eyIYhonNolCIvYeSJ9fXL42B+VZtqDlUzJDJQVvvpFQlumjAvngvpqSdiU9 -DAjnokf7nAfr2zq6f+zpE3qySMDsaiPg/QNpS2RyQdkVQ3VFsB5egjW4o6lm -xBU6LXeWjPZAP7htzt3gYdxfR6cvx8jGyc6ov05fwylxTxQLSlKbdSG1+MFB -N4uJUeWYY6D4RdaZuP3B7pau395CmweAABGWnd+xenNkdORKVwPdV+9OHOC0 -k/B5D6KxK4D/etBuAMknC+UUEM4ye+WLa2/GrZg6ec6efbGPUJqZarRL+TlH -Ny78fFnIN//eeSyvibB2fOfiimg3k9HbwQ//AF0RrRyqlohC3RXL6gpdFPGu -GAfwdYXwM1Z5b8xsRB+3Oi2PN+hnNieJJ5E1Zy+26t/PcmGOwiUsCS9xhpWh -zQTf75KrMSJEmu9FBPgfuN+KtBXtcDL3TH6hovEGERTu9TR3WJ/ddajYcHUa -l2MRePrmnTu5eaXvrgtse3z+p9jMemWXLonFrvRzRIYbUPJJQScFRLPMbvmN -N+bYuR9Ijn6IOlNVgfa2ovBJjl8kYWlTDp5zcdWZtV6m/TlmM7dk84G3JlCu -CFYOZUvEoOWKVXWFIYqgajxUUFcd/Kzw9XHFWNeqO54leRp1Gnp5P1BT1gLz -fvofxlZSHJHbS3a6OQbL11s03Zpl+9GJKtUsMJNUxU82HDRmt/yqSHP2/KF6 -VouVr/OQVJ+aNsxxpbI7ocjGLuGdWzrt4y48HI24LhNf/nXGmlvKxxOm5cth -IAUsl9+aG+zo+n3ywbuop8ZVoF2Qt8p2sKWXf2AnC5aFFwnobIw2b1z1gAWu -2GVJDivrio2icECEZaf3xOU3Y56QQ+ou+Zj0M5l+qQ6RIfWXA831TH3P1VBc -/irlJbpbepx/uQy8c6Cf5BKaryJPTZm+prrc6RmNXT9IKmNcDYbM+qOW5BhN -PXb8oxvm5XfvGQMpYLd8YWHYmDGrLhy68QJtYyrQLmvMmDp0xNr7vaBb6AnT -rlhtiU11xWpRyhA9TdkfmyM/cd/RWJicylO2WAThp/ub6Q503lcqbCn+9Utr -A5tFZ3mUp3lIXerUYW5RFWIZIigI955/AuSikLdovRdszTH2vtog63oaxFYX -W79jFWQXw9CIHW+4UYf87m0ykAJWyxc92uvquPBs9MnczCuFzcrGQFVol7WX -hjubuu4v61Xr9xl3xWpLbKorVotSQFp7aeWoATqvruDqDBy3V/nSxObsRZac -98xshxgYGA13/2L35We0eiekNT8ywDs48peYiO3H7ytNCiDEvN/XebvN+M/R -+EPb1u9KLm8jv6iCRuyYlaku+XKYSAGL5cvaindMHuv/1dyQuL9blAevEu0y -pKXg8FLPCX7Bm77f9sP+izW94Y4l5l2x2RKr6orNoijTeneFNcdgQiJPC28e -V3vsat8BNaLG2LVZO1mgK+JAV3gI8taN0BtI7aas3o7aY1f7DqgRNcauzdrJ -Al0RB7rCRPwkPtDNVE+nj+4gO+9Nd2ne3dS7UHvsat8BNaLG2LVZO1mgK+JA -VxAIBAKB0Ob/A5Gs8A== +1:eJztnQlQFFcagEVwiIoIDIgICiggosiCqSBeMbBRcVG8AJNojEbwBo9E4pYb +j5SiKNEyIngQJRiIZyhMCfHCA8FFFDUoKK6AwqBcwwAzMAc9Cw4qZvruNz3N +zPuqTElkevr//v8d3f2623FRxKyw7t26dVv3Qdt/Zi2M/GTt2oUbZpu1/RAU +vm7ZkvDQxf7h34QuCV07epFh2/8c3vbHue332/+uhEAgEAgEwgaIAtH2LnQN +dEOUbkTRJYCqIV0Hec2ttD+fSRiXbGvT44y0PKFCbftVGRvm+Li4hFwV6kKz +wAqTJDi2dUMU2CjIFCfDjGgO2LIgOkFr/X9jwgLGDnP8x+exD8WMak18P8LJ +alxcqYzhLikqjntbDll6t0n9n0RZIXa2s69oo00AFKUCJ0wy4NvWDVEAoyBT +nAwzojl0u2VB9IbmkuM/3xG1KqUlhycM+dcVIaONIdK6WimAekVkdeWNaFPM +xrxQx4FBGQVpR+Pj4g4l59SxNw8FKkoFZpgkP45jWzdEAY2CTHEyzIjm0OWW +BdEfEIVEdb5WnB8+dnFuI93tSMtPRM4Z7TRi3QMJo/1R1GRuCvYa0N/3zMtW +tX+UPFjtYh+ckRs/w8M/Mul6YS3T2R4FQIlSgRsmMUS2dUMUsCjIFCfDjGgO +nW9ZEP1D/Fd06KH/tdD+PCIt+W2Clf3Xt/G6l0g1Kisr1fYkf4Uj3yepQn16 +1fxooyvfOXBK4ParNXLae8oQpqLebgczTBW4rghs64YoSlEw0fVmhwkyoiX0 +pmVB9ASksSD5yPUaRqcqatL9re0+yxIR/J604tz+2IMHdoRP81ueUY3yjZKC +SGf+qPgy9emVtHjnCBOembGJe9QT5t09LQCI6gA7zHdgu8K3rRuiKEdBV1cH +ZDJCDCIpTgr3dbEyMXcctyLxCfOL+3rSsiBdHPUJD/rkB2ku+/PMtVey9mUr +ZcUNanVKbiPCK7MH2AReriNoXrLSY4uOl8nbv/VVRRNKm2h5/IObhXvMU6n6 +R0tiPS2cVyWFDu49KDRLBO6SJquiCMPsFDCmK3zbuiGKchR0dXVAJiPESB79 +GBF765VUVpsXO71/X4/oYqztkZbJrZZFpcjpbITSdiCcQi58nPnr/gMXLp34 +aduWnYnZ1eoHyrLy5PlDBw8d3obbiPEbC+icH1ZUX9w819WEx/fddLeRoFW0 +FO/1D9icWYsx75U+2zuSP2xr0d/nWNIXKas/teb1dJgbscC9j6Gx7YzoIjK7 +qnh1bsmq3AaiX2NJ1FuwwnwfdFf4tumKIglLomhFQUfXu28klRElQUXJXmZe +quzoz8X3Vg62nYZ3UEIsk8MtiyEkCgnSlWjIW+tj0cPAoDvP3MHNybyHQXez +CQnPaWUVkRSf3rpiQ0xczDJP0/ZnG7ymp9s2qofesqrsEwl7wrxtPb+9Wf/+ +BUt5dfbZ9KKH+7wGjI0tAXahUlH+y6cBBKujWBVFPkwcV1qCixX1Ftq6KBYe +mYp6TePthcN8sM/NAZTZDosti3nuAMcO4QJtDWO0qZH1zDMCubIhZ4FdDyPb +eTQWCiHigl0TbVzW5LQfZdddnsznDQhJvnH7dl7+E0prRpGGu9HBs/bea0Ka +C7e62UxMrercKuSClKl2Zg5jAr5LrQC4KoZU58CiKJJh4rvSGhyrqHcbZKCL +auGRHG4Q4fXlfuuy6rEPSQDJVLLbsqjkTi6qqGpBFQAudoimkQtOLZr88d+Y +uvLm30q79eWZieZtKX1955Yoe66NkcmHh8ooTyHk5YnjzXoP36E6Cd2QE9Tf +2G4B/hIfVFoeb/NyDVN9UHRzuuNHx8o1N515p8jH1ZzvMRZDkQqOiVKy6Ypk +LangnigVbOiiVFHK1vrsqDUJRXgLBQDJVLLbsijkTlYWP6qvTVAOynlHqrFT +qlKINkBqzvtbGllOOV+DKJHaiyE2xlYBpyqpTx5FWQFWhvwp1+vbf5CXxXua +9pv+RzXlybZCkOJt63P69ZL/trnNOI+I+2LK+0IdEnNRjolSas0VEdwTpYJd +XcQVhUiKk3cm3G/A7QtByWQ5fCq5UwjzL1wrRRlywcUO4QiIMHOWtWEv991P +JI1Fv3xpb+ow/6SAzqSn6W6YPc/C73Kdsv1ZGps8HAOPlNJYvYPUpE8a6BVb +Kms7HH8Q5Rd07AUrN5KR6Bw4JkqpNVcEcFBUx46xqouooqQv0vYcylVdPmmt +L0hNF6DFBkwmy+GDyB3A2CEcoSFnvi3vA2vHfqam5oO8v9hx8SXdIpQJfl/t +5zX1P4cT929esz21pJneESzSdD8m2C8s5uf46C1H7zWwdC2CeLjhnCiltlwR +wEVRKljVhVtRiurzy4b2NHhz+dyg18hd6CurwclkOXwAuQMZO4QTNN1Zas8z +HZMigIeo+EBRJIGiAKLPMvU5dh1FnL96sHEvxjet6T5QFEmgKIDos0x9jl0X +kT1PDPGyMjboZtjbyW/9HcJbHPUWKIokUBRA9FmmPscOgUAgEAgEAoFAIBAI +BAKBQCAQCAQCgUAgEAgEAtEyiAI+BwkdaEYrQO3cAeaCPDrhqrXpcUZanpDu +HVrymltpfz5DfXKhvCpjwxwfF5eQq0Id8AQSsGZwUvAWhlnWDQBqZ+z8IAac +exMZk8oB1Dl0AVdk6oEQLNU65EpRcdzbcsjSu030Pi6+H+FkNS6uFP2hFaKs +EDvb2VfgaKMGQDP4KVDBMMs6Ayjt+uOcSRT60zmQqQdCcFTrjitEVldO750k +qo9L62qlGBYa80IdBwZlFKQdjY+LO5ScU6ffk+tOADWDl4K3v8MsyzoCOO1M +ncuFhZlp13Ivnkw6nf2K0w8YY1I5YDqHruCKTD0QbwRLtW64UtRkbgr2GtDf +98xLOk8BlJafiJwz2mnEugfor6aVPFjtYh+ckRs/w8M/Mul6YS3HwtcewMwQ +paAdhlnWIcBoZ+685dm+QOsehiZDx/5zlAXP1Psg5gtCtQuTygHVOXDfFZl6 +IARXtc64EuevcOT7JFXgzF4i1XhzGhCRlvw2wcr+a4z3aDU/2ujKdw6cErj9 +ag18GHlnqJqhnYIOSGRZHwBUkACcN+WF2luO+1WgkBSsdzZ1/u5hM/3d0Sj0 +KwdY58B5V+TqgRBs1Wy7QiTFSeG+LlYm5o7jViQ+YXhBqhOSgkhn/ijst6+3 +I604tz/24IEd4dP8lmdUd5aB1KT7W9t9liVC/1zxzhEmPDNjE/co2m+r5wLg +5VM2QzcFHZDJMpdpebonJDimmGk3A6ogmTuXPFg7xHJ0YrlcUXnqE6tBX2Xj +booSgFx1wKByQHUO3HdFqh4IwVbNtivJox8jYm+9kspq82Kn9+/rEV2M9ehV +9Wkw2pT4LS2Pf3CzIHiSq6z02KLj7W+BRZpfVTS919UJr8weYBN4uQ61A5aV +xHpaOK9KCh3ce1Boloiok6ay20BiJwt4+RTN0E9BB8RZ5qx8Fa2i/LNn8+sx +zudoTDsGzJ03F37vyvf4qaS5/sY3I+ynHwX58jQwrshEgQ+ozoH7rkjVAyHY +qtl2JXuZeamyYzfE91YOtp2GN5DKhY8zf91/4MKlEz9t27IzMbsa+/BL+mzv +SP6wrUX4Q2ZL8V7/gM2Zte8f5CmqL26e62rC4/tuutuopkD6ImX1p9a8ng5z +Ixa49zE0tp0RXcTgxCZZKMTeCcWrc0tW5WI8yxa0fFpm6KTg3TeSyjJzNCAf +3FfT0o7Sw4BwLn26272PiaOr98cT/SOOF4rZXW0EvH+gbIlKLmi7YqmuSNbD +a/AGdyzVrLjCpvH2wmE+2Ae3DXlrfSx6GBh055k7uDmZ9zDobjYh4bl6Qcmr +s8+mFz3c5zVgbGwJ7hgoq8o+kbAnzNvW89ubWPMAECCS4tNbV2yIiYtZ5mlq ++ObdiT3dtpE+70E2djWIXw/aASD5VKGdAtJZ5q58WfWNhKWTxs/cufvQU4xm +phntCmHu4XXzPl8c/s2/tx3JF5HWTuxcVhrnZTlsC/jhH6ArspVD1xJZ6Lvi +WF1hiyLfFRMAvq4Q4fXlfuuy6rHHrTbLo02NrGeeEciVDTkL7HoY2c7LVbuE +JRekTLUzcxgT8F1qBU6ESMPd6OBZe+81Ic2FW91sJqZWaWi8QcQFuybauKzJ +aT9UrLs8mc8bEJJ84/btvPwnausC5aKKqhZUAeRiR/0cmeEGlHxKMEkB2Sxz +W379tZlO3ntT4x5hzlQ1oL25MGqc6xdn8LShQ+RcVn5ila9VD571tI05QuCt +CZQrkpVD2xI5GLniVF3hiCKpmggN1FVrfXbUmoQivGvVrS/PTDRvM/T6fiBR +9lwbI5MPD5XRHJFbHm/zcg1TrbcQ3Zzu+NGxcs0sMJOXJ4436z18h+qqSENO +UH9juwXo6zxkZfGj+toE5aDUCNXY5YJTiyZ/3I6PqznfY+zrv05deRN9PGFb +vgoWUsBx+U15Ya6e36fuu4N5alwD2sX5yx372PrOCmlj7uKoQjGTjTHmnatO +cMAVtyyp4GRdcVEUAYikOHlnwv0G3BNySM15f0sjyynnaxAlUnsxxMbYKuBU +Jc3lrwpBiretz+nXy8DbBvpxHhH3NeRJlBVgZcifcr2+/Qd5Wbynab/pf1Sj +j9EKYf6Fa6UovT792ImPbtiX37FnLKSA2/IlBZHDhy8/u/9aFdbGNKBdWX99 +Uv/Bq+51gW6hM2y74rQlLtUVp0WhIX2RtudQrurEfWt9QWq6AG2xCCLMnGVt +2Mt99xNJY9EvX9qbOsw/KaA9zUNq0icN9IotlSkR8YMov6BjIBeFvEfT3TB7 +noXf5Tpl+9MgNnk4Bh4ppboYhkHsRMONNuR3bJOFFHBavvTpLk/XeSfjjudl +XSpoQBsDNaFd2fIkyt3Kc09xl1q/z7orTlviUl1xWpQaiurzy4b2NHhzBdeg +18hd6EsTG3Lm2/I+sHbsZ2pqPsj7ix0XXzLqnZCm+zHBfmExP8dHbzl6DzUp +gJAJfl/t5zX1P4cT929esz21pJn6ogoGseNWprbkq2AjBRyWr2wu2jp+xKyv +Zocn/NWIHrxGtCuRxgcHFk0cExi2/vvNP+w5V9kV7lhi3xWXLXGqrrgsijZN +d5ba80zHpAj08OZxrceu9R3QIlqMXZ+1UwW6Ig90RYQ4f/Vg4170bsrq6mg9 +dq3vgBbRYuz6rJ0q0BV5oCtcZM8TQ7ysjA26GfZ28lt/h+HdTV0Lrceu9R3Q +IlqMXZ+1UwW6Ig90BYFAIBAIY/4PBhqtCA== "], {{0, 43}, {549, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -652,7 +652,7 @@ VxAIBAKB0Ob/A5Gs8A== ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[4]=", - CellID->339233762] + CellID->1842050639] }, Open ]], Cell[CellGroupData[{ @@ -672,53 +672,53 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnAtUTHkcx0spj7btIaHoIZVStuweJSw6jlfrkUexxWGFFpXas21nOSzH -IzaLFU7YPYla67nsqYiybYqKsKGypPSyTU1NzdS8bjuptT1mmjv3/mbmf+v/ -OYcj8ru/+X/v/3/v/O/0sVoT7L2un4aGRtgAyW/eq8Onh4aujlhsIPliaVBY -4PqggLVzgr4KWB8Q6rZGS/KXjpJf7poaGq1/bsFgMJjeDyEi1N2CfBjRJIbJ -CFn3rt14xQM9z8SNhcnXctkiunWE/yRHLHG3tfW5w0Z3HiijSZRDwSiCuO5+ -1Dovj7FWH62IfsqlFSj3cbCNyeTjrwVQvUkQlZ+dOGT0hoeN9EvVZ/iYmy1O -RXimtiihScRDwZCmqfjsTw/qxS384pNTR89LZdMqRvBra/jAM4EQ1JY1QCzf -DbkBViOXJudf+/nE8eMx8Vm1KF4TlNAk0qFgyEOIeG1vjLh5QR5rsxuo1uGX -nQ9f4mYzLuwJD6w3EStt+zLXEcNmXKoS0y7GexJia7EsOfvEwvFzwuPSn9dA -XmagAG4S+VAwFOD+tT8g5mUz5f9P8It/mWpi8UUO5ckuDW7eRitj97hy+gt4 -07Ot9sZjFsxesOcOSwjQmVKAbhL1UDAKQzTkx59KZ9EZe4KVNMfUfHlGPVhT -Enj54WOMJ5wooX8B5L+IHKenY6Cr57S3iPp61AmC9yIuaIatiZ6h1eSNsUUA -+zbgTaozFH55atzlZ42q3hgQ1+ddjL9bjexqLJXwHqmsrGz/PqKp5MalP94K -Wvf1Sl5wus1XckXYqYtHDF9wu1ZeNKSqtdNcuMvByCnqbz7tgoLiaBejMZvj -AqwHjwrIqIc4f3jPDgZH33vLF9TkRs8f9uH4/S9ktUk2CEWaRDwUYdVvIStP -drxJU+QQVPrsUIf39JBfxK0aZl30hezCtHNHj928df7H3d9FxmZKWWwEZfH+ -dtZ2jhIcxk3Zmk/lTY2oOmWHr72ejvGM7Q8b4JZR/qtDzsZjdxbQvcDw3ySE -zDTVGWjpG7zK6QMtXbOF+wvIvEzR2+vrN2dzpP+joCrtVmX76cp9tMna7LOe -rl3yg6DapOzu1ReKmJXk57bxvoyRoweJU7qFqE31mxh4F2RFVgmc3FB3o/6a -mv10DC0dbAz7a/YzmHq6lNKdgeRe7+LOjRFRx6MCXfRbPzP1joEOuyndp8mv -JqzOvJxU8PSI6wiP6GL5d7+w7b1HVHZmpheZPfGGnNVj3WXfEQIG0RFkQxFV -JHxqvzyr20yl3zDZkSRqU+bZe92oYcxclZxqbvraposuVQhbOFmrzPtrm/lR -2OIluPkHpg233ZLVukrV3p5lrDPCJ/7PnJzcvCIK+/VkqgkrEuaaG1hO8vrm -arnciQrbXkdITlWCnf6lZ1hGnezzAiiITgdFOJSG+742rkdedf4mBRpuenXx -cEyG1BtYsiPZ9Hybs2Mo4L43RYQVF9bM+rQLczfd7XKyiKsuTTOUvKx3j9Pr -M32Ha+t9HFOi8GIuLIudYjDYcV/bWzFO1tJhuuarKG8pwlZTRsEOw+tub2g8 -3kPG8LYjZmfu3XK6oKdNJaAgOvWIcijsO9NHftJlg1iBQwjLz80aaR8o7fMV -pEeS//Kgi82K+93rk5w7qoVgJc4Zoj1kdiKLaCFqUnyG65p4XahUfMWtz/Ay -0TKenV7X+oWw5ISL/tD5v1dTfaQGW00ZBf9H/lVVcksXH3n6MafHnKGC6AjS -oXAyva0nHOv88SiQQ5AfyeaCnc5jNz3iUn0JKoVgp3mbag1y+r6I11BwZqWF -vqX/rxVUVvLGh+ssdIw8b9e2tH5Ibft4qwWnXve4+9cVETvn4pW8OhFMNWUU -lHUcOVOV/+baDzHZde/ON3Fd/tWkCmkHBguiI0iHwn8ZNcFxc+d5AnEIBUaS -c2+5nUd8BTM2gTlZ/mY6A0ythurrG46a+Pm+lCqqDycFFVdCPF3nbjsZe3TH -lj1Xi5sUvFeoy/C3s/NPb7/FoFtNGQVl0ONUFVUnBtoN1Pxvc0RzkPMB6c8v -4ILoCNKhNBftdvPoss0GcAjyI9lcuNvN8xT9nTuV0Phgg4WO/qQEhiwsvZc+ -GYSYnR6+KJLSgz/ZkB5JgpP9rfcuyCdUyoSbF2KtO0jeg2qM0umzQTSXXj8U -kwZyB9EG2ZFsLk08evhmJYqf8O6GoDTWx9VEV1NDa7CN59cPlPIgGkOCvh4E -wWcB/UiPAiMpbnrLhv45IgwGg8FgMBgMBoPBYDAYDAajXrCNsxeDw6UEiFUS -UHfJCGUo+sAKSPuUDxZVQKySsLpLRihDEQc2kb7mg0UUEKskpO6SEcpQ5IEV -kPYtHyyCgFgloXWXjFCGIg1sIn3PB4smAFZJYN0lI5ShaAMtIO1jPlhawEsv -24FQfcLqLqnYOJktvYQPF1hAql4fLLPChZdetiPfKim/GmndJalqiitDu0sv -SR2IRqvhoNJL+HDJJUJ6iEipR0kV7P3hQksv30Nf9Qmru6Rg42SC9FKlRlNw -AakafbBMCFc2QNJL0lZJVesuFYQR0ks0jabo+2AZEa4soKSXJK2SqtddKgoj -pJcIGk0Z4YNlRLjSUbX0EmndZRvMkF4iZzRlgA+2Be1we0IN0kukdZdtMEJ6 -iZ7RlBk+WEaE2w21SC/R0112K8sI6SV6RlOEfbBMC7dL9+qSXiKnu+xelgnS -SwSNpuj6YJkWLjWw9BIKBKWXOFwoEAgXSy+hQFB6icOFQt3hYullL5Ze4nB7 -cbgYDEYJ/AufFtRo +1:eJztnAtUTHkcx0uUR5uSJEUPqchjy+5RwqLjeLUeeYQVhxVaJLVn285yWI5H +bNZa0Qm7J9mspWXZ461oU1SEDcmS6EXTTM000zzv7KTWTs1Mc+fe38z8b/0/ +53BEfvc3/+/9/++d/50+rsvXB6/sZGJiEt1V8VvwspgJUVHLYudYK76YFxEd +vioibMXUiC/DVoVF+S03U/ylt+KXv6mJSeOf5RgMBtP+IaSEsVvQDiOaxDAZ +Cev2ucsvBKDnmaz+6aVz+Rwp3TqSt5di5/p7eITc4KA7D/TRJMqhYHRBVnsn +fmVQwGDXDxclPOLTCpT/YL273ZhDL8VQvSmQlh8f1Xvg6nv19EvVZYU4Oc5J +R3imyvXQJOKhYEjTUHL8p7t1Mrmo5PC4gdPTObSKESJ2jQh4JhBidhkPYvnm +5Ye59p93qfDcz4mHDiWl5rBRvCbooUmkQ8GQh5AKmt4Y8QsiAlbk8qjWEZWd +jJnr5z40+qEArDcpK2PzfN9+fSemVcloFxM8jPRwnn8pN3HWiKkxKZlPaiAv +M1AAN4l8KBgK8P/eHZb0XEj5/xOikl/H2Tl/nkd5squDX7DG1dY/pZz+At7w +eKOX7aCZU2buuMGSAHSmF6CbRD0UjM4QvMLUI5ksOmNPsC5OtXdamFUH1pQC +QWHMINuRiaX0L4CiZ3FDLc2tLSyH7Symvh61gBA8S4mY6GFnaeM6Zk1yMcC+ +DXiTxgxFVJ6ecuZJvaE3BmR1BWmpt6qRXY3VEtMmlZWVzd9HNJReTrv5Rty4 +r1f6jKsyX8kV4aTP6ecw8zpbWzSkqjUjfLptSK9h8f+IaBcUlyT49Bq0LiXM +rceAsKw6iPNH8Hjv+oTbb0TimvyEGX17jtj9TFObZIPQpUnEQ5FU/RG55LDy +TZouh6DSp1IdwaN9i2Ov1TDroi/hPM345cDBK9dO/rj927jkbDWLjbgsNdTT +zdNbwZChYzcWUnlTI62+umWBl6W57cTN93hwy6joxb7htoO3FtG9wIhen4ic +ZG/ezWXB+qXDPjCzcJy1u4jMy5S+Ob9qXS5X/T+KqzKuVTafrvz7a90cP23r +2qU9CKpNau7eeKHIWBcX+625o2Hk6EHilJYT7PTFo8JvgazIBoGbH+Xfq4up +aSdzG5ch7jZdTDtZjzv6itKdgeJe7/TWNbHxh+LDfawaPzP1jm5DtlO6T9Ne +TVKd/fvFokf7ffsFJJRov/uFbe890rJjk4LI7Inz8pYN9td8RwgYhDLIhiKt +OPGJ18IclZlKv2GyI0mwr073Crpcw5i5qjjV/Kw6289Oq5DIuTlLnbp0dlxM +YYuX4BfuGe/gsSGncZViX59sa94vJPWvvLz8gmIK+/VkqkkqTkxzsnYZHfT1 +2XKtExW2PWVITlWCk/lFYHRWrebzAiiIFgdFOBTenQXuvvtftPwmXRqW1JW/ +FaodTrIj2fBk03DvKMB9b4pIKk4tn/xJK6atvdXqZJFVpY23Ubysd4/T67IX +OHS2/CipVOfFXFKWPNa6h/euprdi3Jx5fS2cllLeUoStpo+CSsPr72VjOyJA +w/A2I6vN3rnhaFFbm0pAQbToEeVQODcm9P+41QaxDocQlyaO7OkwT/WqrMNI +ip7v9XFfdEe1Psm5Y1gI1oWpvTv3nnKBRciJmqshDhZ2QacqdV9x67KC7Mxs +p2TWNn4hKU30seoz489qqo/UYKvpo+D/aL+qKm7pUuOOPuC2mTNUEMogHQo3 +O9ht5MGWH4/S5RBSTsGVmy/VLH7kR1JYtHX44LX3+VRfgkEhOBnB9mbdh31X +LOAVHVvibOUS+lsFlZW8/t5KZ/NegdfZ8sYPqW0e4TrzyMs2d/9aI+XknT5T +UCuFqaaPgpqOo2Wqil6f+z4pt/bd+SarLTx7sULdgcGCUAbpUETP40d6r2s5 +TyAOocNIcm8v9AxIrWDGJjA3J9TRvKu9ax8rK5sBoz7bdbWK6sNJccWZyEDf +aZsOJx/YsmHH2ZIGHe8VarNCPT1DM5tvMehW00dBDbQ5VaXVF8I9u5n+tzli +2n34HvXPL+CCUAbpUITF2/0CWm2zARyC/EgKn273CzxCf+fOINTfXe1sbjX6 +BEMWlvZLhwxCxsmMmR1H6cGfZkiPJMHN/SZ4G+QTKn3CL4h0s+iu7UE1Ru90 +2CCEr87vS8oAuYNoguxICl9dOPDDlUoUP+GtgvhVcoivnYWpiVkP98Cv7url +QTSGBB09CELEAvqRHh1GUtbwhgP9c0QYDAaDwWAwGAwGg8FgMBgMxrhgG2c7 +BodLCRCrJKDukhHKUPSBFZB2KB8sqoBYJWF1l4xQhiIObCIdzQeLKCBWSUjd +JSOUocgDKyDtWD5YBAGxSkLrLhmhDEUa2EQ6ng8WTQCsksC6S0YoQ9EGWkDa +wXywtICXXjYDofqE1V1SsXEyW3oJHy6wgNS4PlhmhQsvvWxGu1VSezXSuktS +1XRXhqpKL0kdiEarMaDSS/hwySVCeohIqUdJFWz/4UJLL99DX/UJq7ukYONk +gvTSoEZTcAGpEX2wTAhXM0DSS9JWSUPrLnWEEdJLNI2m6PtgGRGuJqCklySt +kobXXeoKI6SXCBpNGeGDZUS46jG09BJp3WUTzJBeImc0ZYAPVo52uG1hBOkl +0rrLJhghvUTPaMoMHywjwlXBKNJL9HSXKmUZIb1Ez2iKsA+WaeG26t5Y0kvk +dJeqZZkgvUTQaIquD5Zp4VIDSy+hQFB6icOFAoFwsfQSCgSllzhcKIwdLpZe +tmPpJQ63HYeLwWD0wL9W/tSJ "], {{0, 43}, {313, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -732,7 +732,7 @@ cbgYDEYJ/AufFtRo ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[5]=", - CellID->994211324] + CellID->1000134762] }, Open ]], Cell[CellGroupData[{ @@ -1002,11 +1002,11 @@ RPpwGaxxMOiSa8jrC4XSeTCUEDJfIDupFcUqk/dob9DB21V8QU3uwXkDdRx2 FxPbiSB9uAzeOBhkyTXk9YVC6TwYSgiZL5Cd1IpilSl4eT39RetTGv9ZY27y FbElJsnDZXBm9CBNriGrL2RK55GDoiXUaegPIl9UIDupqyCozIYcH1tHGSs2 1QyXUaa4bCjsCxXt6PL/FSTmi0L0KHe6WZkyD8TOXDU9JKujqADVDJdRpnhn -x6WsLxS1o4sTF0FfFKCHudOtypSJmH0rat2Rwg5bjaoZLoNLvHuJPxT2hRp2 +x6WsLxS1o4sTF0FfFKCHudOtypSJmHMrat2Rwg5bjaoZLoNLvHuJPxT2hRp2 tCl2K/RHqb7gkKWYOx0jXdUl7Dpyr15Gg1A1w2WUKS4DavtCVTvkr7iU7QsO Waq68x788qSfDt3hvJYVc/IvpFa26++rTLiMMsXlQ0FfeoQd8iYupfjSOhRw R+bxWCkB1n17ve2d9dKy3/PxvqSqhMsoU1wO1PSlR9jR6cSlLF/eAO4AAAAA -AAAAAAAAwFv+B2BBjvg= +AAAAAAAAwFv+B74rjvs= "], {{0, 41}, {403, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -1020,7 +1020,7 @@ AAAAAAAAwFv+B2BBjvg= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[9]=", - CellID->200884934] + CellID->537741912] }, Open ]] }, Open ]], @@ -1077,7 +1077,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 34.933579}", + "built" -> "{2020, 6, 20, 19, 9, 24.404687}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1110,23 +1110,23 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6531, 195, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1332408565]}, + CellID->1899085379]}, "RasterizedOutput"->{ - Cell[14966, 550, 5853, 104, 61, "Output", + Cell[14966, 550, 5870, 104, 61, "Output", CellTags->"RasterizedOutput", - CellID->339233762], - Cell[21203, 671, 3348, 63, 64, "Output", + CellID->1842050639], + Cell[21220, 671, 3357, 63, 64, "Output", CellTags->"RasterizedOutput", - CellID->994211324], - Cell[29559, 961, 3230, 61, 62, "Output", + CellID->1000134762], + Cell[29585, 961, 3230, 61, 62, "Output", CellTags->"RasterizedOutput", - CellID->200884934]} + CellID->537741912]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 35505, 1109}, - {"RasterizedOutput", 35649, 1113} + {"PrimaryExamplesSection", 35532, 1109}, + {"RasterizedOutput", 35676, 1113} } *) (*NotebookFileOutline @@ -1140,7 +1140,7 @@ Cell[4020, 113, 511, 13, 102, "Usage", Cell[CellGroupData[{ Cell[4556, 130, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->862007093], + CellID->512182867], Cell[5297, 156, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5353, 160, 117, 3, 70, "Input", @@ -1153,10 +1153,10 @@ Cell[5473, 165, 997, 23, 94, "Output", Cell[CellGroupData[{ Cell[6531, 195, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1332408565], + CellID->1899085379], Cell[CellGroupData[{ Cell[6944, 214, 196, 6, 26, "ExampleSection", - CellID->2107597735], + CellID->1973350643], Cell[CellGroupData[{ Cell[7165, 224, 197, 6, 27, "Input", CellID->1786567575], @@ -1178,52 +1178,52 @@ Cell[12584, 449, 2232, 91, 41, "Output", Cell[CellGroupData[{ Cell[14853, 545, 110, 3, 27, "Input", CellID->1015419780], -Cell[14966, 550, 5853, 104, 61, "Output", +Cell[14966, 550, 5870, 104, 61, "Output", CellTags->"RasterizedOutput", - CellID->339233762] + CellID->1842050639] }, Open ]], Cell[CellGroupData[{ -Cell[20856, 659, 344, 10, 27, "Input", +Cell[20873, 659, 344, 10, 27, "Input", CellID->932118586], -Cell[21203, 671, 3348, 63, 64, "Output", +Cell[21220, 671, 3357, 63, 64, "Output", CellTags->"RasterizedOutput", - CellID->994211324] + CellID->1000134762] }, Open ]], Cell[CellGroupData[{ -Cell[24588, 739, 133, 4, 27, "Input", +Cell[24614, 739, 133, 4, 27, "Input", CellID->393722192], -Cell[24724, 745, 1220, 52, 38, "Output", +Cell[24750, 745, 1220, 52, 38, "Output", CellID->18548593] }, Open ]], Cell[CellGroupData[{ -Cell[25981, 802, 110, 3, 27, "Input", +Cell[26007, 802, 110, 3, 27, "Input", CellID->1619263835], -Cell[26094, 807, 857, 35, 38, "Output", +Cell[26120, 807, 857, 35, 38, "Output", CellID->127924084] }, Open ]], Cell[CellGroupData[{ -Cell[26988, 847, 166, 5, 27, "Input", +Cell[27014, 847, 166, 5, 27, "Input", CellID->925136306], -Cell[27157, 854, 2254, 97, 39, "Output", +Cell[27183, 854, 2254, 97, 39, "Output", CellID->652994641] }, Open ]], Cell[CellGroupData[{ -Cell[29448, 956, 108, 3, 27, "Input", +Cell[29474, 956, 108, 3, 27, "Input", CellID->96707573], -Cell[29559, 961, 3230, 61, 62, "Output", +Cell[29585, 961, 3230, 61, 62, "Output", CellTags->"RasterizedOutput", - CellID->200884934] + CellID->537741912] }, Open ]] }, Open ]], -Cell[32816, 1026, 31, 0, 29, "SectionFooterSpacer"] +Cell[32842, 1026, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[32884, 1031, 270, 12, 31, "SeeAlsoSection", +Cell[32910, 1031, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[33157, 1045, 378, 14, 56, "SeeAlso", +Cell[33183, 1045, 378, 14, 56, "SeeAlso", CellID->830480392] }, Open ]], -Cell[33550, 1062, 23, 0, 41, "FooterCell"] +Cell[33576, 1062, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliTrick.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliTrick.nb index 94ee7a8db..4af41acdc 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliTrick.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliTrick.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 29022, 1108] -NotebookOptionsPosition[ 24874, 976] -NotebookOutlinePosition[ 27027, 1033] -CellTagsIndexPosition[ 26941, 1028] +NotebookDataLength[ 28960, 1107] +NotebookOptionsPosition[ 24872, 976] +NotebookOutlinePosition[ 26967, 1032] +CellTagsIndexPosition[ 26881, 1027] WindowTitle->PauliTrick WindowFrame->Normal*) @@ -80,7 +80,7 @@ PauliTrick.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$205462], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$206470], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PauliTrick", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->127320183], + CellID->201251739], Cell["", "SectionHeaderSpacer"], @@ -200,7 +200,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2010502978], + CellID->96294213], Cell[CellGroupData[{ @@ -210,7 +210,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1355423925], + CellID->1788381412], Cell[CellGroupData[{ @@ -989,7 +989,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 36.204440}", + "built" -> "{2020, 6, 20, 19, 9, 25.600033}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1009,8 +1009,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1020,14 +1019,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6086, 187, 388, 15, 31, "PrimaryExamplesSection", + Cell[6086, 187, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2010502978]} + CellID->96294213]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 26797, 1021} + {"PrimaryExamplesSection", 26739, 1020} } *) (*NotebookFileOutline @@ -1041,7 +1040,7 @@ Cell[4008, 113, 461, 12, 102, "Usage", Cell[CellGroupData[{ Cell[4494, 129, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->127320183], + CellID->201251739], Cell[5235, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5291, 159, 114, 3, 70, "Input", @@ -1052,64 +1051,64 @@ Cell[5408, 164, 617, 16, 56, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6086, 187, 388, 15, 31, "PrimaryExamplesSection", +Cell[6086, 187, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2010502978], + CellID->96294213], Cell[CellGroupData[{ -Cell[6499, 206, 196, 6, 26, "ExampleSection", - CellID->1355423925], +Cell[6497, 206, 196, 6, 26, "ExampleSection", + CellID->1788381412], Cell[CellGroupData[{ -Cell[6720, 216, 196, 6, 27, "Input", +Cell[6718, 216, 196, 6, 27, "Input", CellID->331777472], -Cell[6919, 224, 1484, 59, 43, "Output", +Cell[6917, 224, 1484, 59, 43, "Output", CellID->1874165954] }, Open ]], Cell[CellGroupData[{ -Cell[8440, 288, 138, 4, 27, "Input", +Cell[8438, 288, 138, 4, 27, "Input", CellID->1979638166], -Cell[8581, 294, 3317, 134, 47, "Output", +Cell[8579, 294, 3317, 134, 47, "Output", CellID->1808357935] }, Open ]], Cell[CellGroupData[{ -Cell[11935, 433, 131, 4, 27, "Input", +Cell[11933, 433, 131, 4, 27, "Input", CellID->8618082], -Cell[12069, 439, 1221, 52, 38, "Output", +Cell[12067, 439, 1221, 52, 38, "Output", CellID->622419386] }, Open ]], Cell[CellGroupData[{ -Cell[13327, 496, 138, 4, 27, "Input", +Cell[13325, 496, 138, 4, 27, "Input", CellID->1048487381], -Cell[13468, 502, 910, 37, 40, "Output", +Cell[13466, 502, 910, 37, 40, "Output", CellID->1491870908] }, Open ]], Cell[CellGroupData[{ -Cell[14415, 544, 236, 7, 27, "Input", +Cell[14413, 544, 236, 7, 27, "Input", CellID->1299757137], -Cell[14654, 553, 1940, 77, 43, "Output", +Cell[14652, 553, 1940, 77, 43, "Output", CellID->1656049268] }, Open ]], Cell[CellGroupData[{ -Cell[16631, 635, 228, 7, 27, "Input", +Cell[16629, 635, 228, 7, 27, "Input", CellID->1826628874], -Cell[16862, 644, 4482, 180, 72, "Output", +Cell[16860, 644, 4482, 180, 72, "Output", CellID->2004700614] }, Open ]], Cell[CellGroupData[{ -Cell[21381, 829, 174, 5, 27, "Input", +Cell[21379, 829, 174, 5, 27, "Input", CellID->528116067], -Cell[21558, 836, 2519, 98, 43, "Output", +Cell[21556, 836, 2519, 98, 43, "Output", CellID->998716380] }, Open ]] }, Open ]], -Cell[24104, 938, 31, 0, 29, "SectionFooterSpacer"] +Cell[24102, 938, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[24172, 943, 270, 12, 31, "SeeAlsoSection", +Cell[24170, 943, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[24445, 957, 387, 14, 56, "SeeAlso", +Cell[24443, 957, 387, 14, 56, "SeeAlso", CellID->830480392] }, Open ]], -Cell[24847, 974, 23, 0, 41, "FooterCell"] +Cell[24845, 974, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliXi.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliXi.nb index f8c5e678c..b366bbcc6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliXi.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PauliXi.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9430, 323] -NotebookOptionsPosition[ 6409, 230] -NotebookOutlinePosition[ 8515, 287] -CellTagsIndexPosition[ 8431, 282] +NotebookDataLength[ 9376, 322] +NotebookOptionsPosition[ 6410, 230] +NotebookOutlinePosition[ 8460, 286] +CellTagsIndexPosition[ 8376, 281] WindowTitle->PauliXi WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$205901], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$206909], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PauliXi", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->435946336], + CellID->434345045], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->766904401], + CellID->1648298960], Cell[CellGroupData[{ @@ -231,7 +231,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PauliXi", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -243,7 +243,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 37.324583}", + "built" -> "{2020, 6, 20, 19, 9, 26.658018}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -263,8 +263,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -276,12 +275,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3656, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->435946336]} + CellID->434345045]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8288, 275} + {"PrimaryExamplesSection", 8233, 274} } *) (*NotebookFileOutline @@ -294,37 +293,37 @@ Cell[3138, 89, 493, 14, 85, "Usage", Cell[CellGroupData[{ Cell[3656, 107, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->435946336], + CellID->434345045], Cell[CellGroupData[{ -Cell[4068, 126, 195, 6, 26, "ExampleSection", - CellID->766904401], +Cell[4068, 126, 196, 6, 26, "ExampleSection", + CellID->1648298960], Cell[CellGroupData[{ -Cell[4288, 136, 102, 3, 27, "Input", +Cell[4289, 136, 102, 3, 27, "Input", CellID->47983789], -Cell[4393, 141, 191, 6, 37, "Output", +Cell[4394, 141, 191, 6, 37, "Output", CellID->1490471658] }, Open ]], Cell[CellGroupData[{ -Cell[4621, 152, 121, 4, 27, "Input", +Cell[4622, 152, 121, 4, 27, "Input", CellID->556532228], -Cell[4745, 158, 222, 7, 40, "Output", +Cell[4746, 158, 222, 7, 40, "Output", CellID->429638525] }, Open ]], Cell[CellGroupData[{ -Cell[5004, 170, 221, 7, 27, "Input", +Cell[5005, 170, 221, 7, 27, "Input", CellID->1261818576], -Cell[5228, 179, 504, 18, 40, "Output", +Cell[5229, 179, 504, 18, 40, "Output", CellID->244546897] }, Open ]], Cell[CellGroupData[{ -Cell[5769, 202, 109, 3, 27, "Input", +Cell[5770, 202, 109, 3, 27, "Input", CellID->1643081713], -Cell[5881, 207, 462, 16, 40, "Output", +Cell[5882, 207, 462, 16, 40, "Output", CellID->1727681521] }, Open ]] }, Open ]] }, Open ]], -Cell[6382, 228, 23, 0, 41, "FooterCell"] +Cell[6383, 228, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PlusDistribution.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PlusDistribution.nb index a31bac4e8..c7d1f7e1e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PlusDistribution.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PlusDistribution.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14476, 500] +NotebookDataLength[ 14420, 499] NotebookOptionsPosition[ 9590, 351] -NotebookOutlinePosition[ 12806, 440] -CellTagsIndexPosition[ 12686, 434] +NotebookOutlinePosition[ 12750, 439] +CellTagsIndexPosition[ 12630, 433] WindowTitle->PlusDistribution WindowFrame->Normal*) @@ -79,7 +79,7 @@ PlusDistribution.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$208985], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$209995], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PlusDistribution", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1455966426], + CellID->1105451378], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1591433506], + CellID->1459334626], Cell[CellGroupData[{ @@ -364,7 +364,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 45.164931}", + "built" -> "{2020, 6, 20, 19, 9, 33.978120}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -384,8 +384,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -397,7 +396,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4453, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1455966426]}, + CellID->1105451378]}, "PlusDistribution"->{ Cell[5087, 158, 216, 7, 27, "Input", CellTags->"PlusDistribution", @@ -433,8 +432,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11492, 396}, - {"PlusDistribution", 11636, 400} + {"PrimaryExamplesSection", 11436, 395}, + {"PlusDistribution", 11580, 399} } *) (*NotebookFileOutline @@ -447,10 +446,10 @@ Cell[3926, 110, 502, 15, 85, "Usage", Cell[CellGroupData[{ Cell[4453, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1455966426], + CellID->1105451378], Cell[CellGroupData[{ Cell[4866, 148, 196, 6, 26, "ExampleSection", - CellID->1591433506], + CellID->1459334626], Cell[CellGroupData[{ Cell[5087, 158, 216, 7, 27, "Input", CellTags->"PlusDistribution", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Polarization.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Polarization.nb index 75ef9dfa2..c0d4c118c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Polarization.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Polarization.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16391, 543] -NotebookOptionsPosition[ 10702, 374] -NotebookOutlinePosition[ 14589, 476] -CellTagsIndexPosition[ 14473, 470] +NotebookDataLength[ 16333, 542] +NotebookOptionsPosition[ 10701, 374] +NotebookOutlinePosition[ 14532, 475] +CellTagsIndexPosition[ 14416, 469] WindowTitle->Polarization WindowFrame->Normal*) @@ -83,7 +83,7 @@ Polarization.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$209425], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$210435], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Polarization", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1400570862], + CellID->1907570579], Cell[CellGroupData[{ @@ -160,7 +160,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1428208848], + CellID->446631772], Cell[CellGroupData[{ @@ -374,8 +374,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Polarization", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -387,7 +387,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 46.412929}", + "built" -> "{2020, 6, 20, 19, 9, 35.082446}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -415,8 +415,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -428,49 +427,49 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5174, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1400570862]}, + CellID->1907570579]}, "Polarization"->{ - Cell[5808, 166, 135, 4, 27, "Input", + Cell[5807, 166, 135, 4, 27, "Input", CellTags->"Polarization", CellID->438222688], - Cell[5946, 172, 269, 8, 37, "Output", + Cell[5945, 172, 269, 8, 37, "Output", CellTags->"Polarization"], - Cell[6252, 185, 170, 5, 27, "Input", + Cell[6251, 185, 170, 5, 27, "Input", CellTags->"Polarization", CellID->790373903], - Cell[6425, 192, 253, 7, 51, "Output", + Cell[6424, 192, 253, 7, 51, "Output", CellTags->"Polarization"], - Cell[6715, 204, 177, 6, 27, "Input", + Cell[6714, 204, 177, 6, 27, "Input", CellTags->"Polarization", CellID->211711632], - Cell[6895, 212, 289, 9, 37, "Output", + Cell[6894, 212, 289, 9, 37, "Output", CellTags->"Polarization"], - Cell[7221, 226, 212, 7, 27, "Input", + Cell[7220, 226, 212, 7, 27, "Input", CellTags->"Polarization", CellID->36512114], - Cell[7436, 235, 272, 8, 51, "Output", + Cell[7435, 235, 272, 8, 51, "Output", CellTags->"Polarization"], - Cell[7745, 248, 164, 5, 27, "Input", + Cell[7744, 248, 164, 5, 27, "Input", CellTags->"Polarization", CellID->734957023], - Cell[7912, 255, 400, 14, 37, "Output", + Cell[7911, 255, 400, 14, 37, "Output", CellTags->"Polarization"], - Cell[8349, 274, 203, 7, 27, "Input", + Cell[8348, 274, 203, 7, 27, "Input", CellTags->"Polarization", CellID->710690441], - Cell[8555, 283, 283, 8, 51, "Output", + Cell[8554, 283, 283, 8, 51, "Output", CellTags->"Polarization"], - Cell[8875, 296, 320, 9, 27, "Input", + Cell[8874, 296, 320, 9, 27, "Input", CellTags->"Polarization", CellID->1314823646], - Cell[9198, 307, 508, 20, 37, "Output", + Cell[9197, 307, 508, 20, 37, "Output", CellTags->"Polarization"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13180, 427}, - {"Polarization", 13320, 431} + {"PrimaryExamplesSection", 13123, 426}, + {"Polarization", 13263, 430} } *) (*NotebookFileOutline @@ -478,73 +477,73 @@ Notebook[{ Cell[584, 21, 3261, 78, 53, "AnchorBarGrid", CellID->1], Cell[3848, 101, 289, 11, 45, "ObjectNameGrid"], -Cell[4140, 114, 1009, 19, 171, "Usage", +Cell[4140, 114, 1009, 19, 188, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[5174, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1400570862], + CellID->1907570579], Cell[CellGroupData[{ -Cell[5587, 156, 196, 6, 26, "ExampleSection", - CellID->1428208848], +Cell[5587, 156, 195, 6, 26, "ExampleSection", + CellID->446631772], Cell[CellGroupData[{ -Cell[5808, 166, 135, 4, 27, "Input", +Cell[5807, 166, 135, 4, 27, "Input", CellTags->"Polarization", CellID->438222688], -Cell[5946, 172, 269, 8, 37, "Output", +Cell[5945, 172, 269, 8, 37, "Output", CellTags->"Polarization"] }, Open ]], Cell[CellGroupData[{ -Cell[6252, 185, 170, 5, 27, "Input", +Cell[6251, 185, 170, 5, 27, "Input", CellTags->"Polarization", CellID->790373903], -Cell[6425, 192, 253, 7, 51, "Output", +Cell[6424, 192, 253, 7, 51, "Output", CellTags->"Polarization"] }, Open ]], Cell[CellGroupData[{ -Cell[6715, 204, 177, 6, 27, "Input", +Cell[6714, 204, 177, 6, 27, "Input", CellTags->"Polarization", CellID->211711632], -Cell[6895, 212, 289, 9, 37, "Output", +Cell[6894, 212, 289, 9, 37, "Output", CellTags->"Polarization"] }, Open ]], Cell[CellGroupData[{ -Cell[7221, 226, 212, 7, 27, "Input", +Cell[7220, 226, 212, 7, 27, "Input", CellTags->"Polarization", CellID->36512114], -Cell[7436, 235, 272, 8, 51, "Output", +Cell[7435, 235, 272, 8, 51, "Output", CellTags->"Polarization"] }, Open ]], Cell[CellGroupData[{ -Cell[7745, 248, 164, 5, 27, "Input", +Cell[7744, 248, 164, 5, 27, "Input", CellTags->"Polarization", CellID->734957023], -Cell[7912, 255, 400, 14, 37, "Output", +Cell[7911, 255, 400, 14, 37, "Output", CellTags->"Polarization"] }, Open ]], Cell[CellGroupData[{ -Cell[8349, 274, 203, 7, 27, "Input", +Cell[8348, 274, 203, 7, 27, "Input", CellTags->"Polarization", CellID->710690441], -Cell[8555, 283, 283, 8, 51, "Output", +Cell[8554, 283, 283, 8, 51, "Output", CellTags->"Polarization"] }, Open ]], Cell[CellGroupData[{ -Cell[8875, 296, 320, 9, 27, "Input", +Cell[8874, 296, 320, 9, 27, "Input", CellTags->"Polarization", CellID->1314823646], -Cell[9198, 307, 508, 20, 37, "Output", +Cell[9197, 307, 508, 20, 37, "Output", CellTags->"Polarization"] }, Open ]] }, Open ]], -Cell[9733, 331, 31, 0, 70, "SectionFooterSpacer"] +Cell[9732, 331, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9801, 336, 270, 12, 70, "SeeAlsoSection", +Cell[9800, 336, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10074, 350, 586, 19, 70, "SeeAlso"] +Cell[10073, 350, 586, 19, 56, "SeeAlso"] }, Open ]], -Cell[10675, 372, 23, 0, 70, "FooterCell"] +Cell[10674, 372, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PolarizationSum.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PolarizationSum.nb index ac6232bc6..2d9277251 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PolarizationSum.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PolarizationSum.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 20994, 775] -NotebookOptionsPosition[ 16409, 635] -NotebookOutlinePosition[ 19111, 709] -CellTagsIndexPosition[ 18992, 703] +NotebookDataLength[ 20933, 774] +NotebookOptionsPosition[ 16407, 635] +NotebookOutlinePosition[ 19052, 708] +CellTagsIndexPosition[ 18933, 702] WindowTitle->PolarizationSum WindowFrame->Normal*) @@ -83,7 +83,7 @@ PolarizationSum.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$209884], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$210894], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PolarizationSum", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1731109750], + CellID->162231988], Cell["", "SectionHeaderSpacer"], @@ -241,7 +241,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"LorentzIndex", ",", "LorentzIndex"}], "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{475, 14}, + ImageSize->{475, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[28]="] @@ -266,7 +266,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1038110517], + CellID->795746750], Cell[CellGroupData[{ @@ -276,7 +276,7 @@ Cell[TextData[{ Cell["(3)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1367338889], + CellID->1244236965], Cell[CellGroupData[{ @@ -636,7 +636,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PolarizationSum", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -648,7 +648,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 47.559590}", + "built" -> "{2020, 6, 20, 19, 9, 36.196866}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -668,8 +668,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -679,31 +678,31 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7708, 253, 388, 15, 31, "PrimaryExamplesSection", + Cell[7707, 253, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1038110517]}, + CellID->795746750]}, "PolarizationSum"->{ - Cell[8342, 282, 173, 5, 27, "Input", + Cell[8340, 282, 173, 5, 27, "Input", CellTags->"PolarizationSum", CellID->1305140513], - Cell[8518, 289, 448, 18, 37, "Output", + Cell[8516, 289, 448, 18, 37, "Output", CellTags->"PolarizationSum"], - Cell[9133, 318, 182, 5, 27, "Input", + Cell[9131, 318, 182, 5, 27, "Input", CellTags->"PolarizationSum", CellID->225444567], - Cell[9318, 325, 1084, 46, 60, "Output", + Cell[9316, 325, 1084, 46, 60, "Output", CellTags->"PolarizationSum"], - Cell[11936, 442, 192, 5, 27, "Input", + Cell[11934, 442, 192, 5, 27, "Input", CellTags->"PolarizationSum", CellID->697709473], - Cell[12131, 449, 3297, 138, 64, "Output", + Cell[12129, 449, 3297, 138, 64, "Output", CellTags->"PolarizationSum"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 18315, 680}, - {"PolarizationSum", 18458, 684} + {"PrimaryExamplesSection", 18257, 679}, + {"PolarizationSum", 18399, 683} } *) (*NotebookFileOutline @@ -715,68 +714,68 @@ Cell[CellGroupData[{ Cell[4162, 116, 470, 14, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4657, 134, 739, 24, 31, "NotesSection", +Cell[4657, 134, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1731109750], -Cell[5399, 160, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5433, 162, 432, 15, 70, "Notes", + CellID->162231988], +Cell[5398, 160, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5432, 162, 432, 15, 70, "Notes", CellID->1067943069], -Cell[5868, 179, 427, 16, 70, "Notes"], -Cell[6298, 197, 800, 28, 70, "Notes"], +Cell[5867, 179, 427, 16, 70, "Notes"], +Cell[6297, 197, 800, 28, 70, "Notes"], Cell[CellGroupData[{ -Cell[7123, 229, 98, 2, 70, "Input"], -Cell[7224, 233, 423, 13, 35, "Output"] +Cell[7122, 229, 98, 2, 70, "Input"], +Cell[7223, 233, 423, 13, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7708, 253, 388, 15, 31, "PrimaryExamplesSection", +Cell[7707, 253, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1038110517], + CellID->795746750], Cell[CellGroupData[{ -Cell[8121, 272, 196, 6, 26, "ExampleSection", - CellID->1367338889], +Cell[8119, 272, 196, 6, 26, "ExampleSection", + CellID->1244236965], Cell[CellGroupData[{ -Cell[8342, 282, 173, 5, 27, "Input", +Cell[8340, 282, 173, 5, 27, "Input", CellTags->"PolarizationSum", CellID->1305140513], -Cell[8518, 289, 448, 18, 37, "Output", +Cell[8516, 289, 448, 18, 37, "Output", CellTags->"PolarizationSum"] }, Open ]], Cell[CellGroupData[{ -Cell[9003, 312, 105, 2, 9, "ExampleDelimiter"], +Cell[9001, 312, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[9133, 318, 182, 5, 27, "Input", +Cell[9131, 318, 182, 5, 27, "Input", CellTags->"PolarizationSum", CellID->225444567], -Cell[9318, 325, 1084, 46, 60, "Output", +Cell[9316, 325, 1084, 46, 60, "Output", CellTags->"PolarizationSum"] }, Open ]], Cell[CellGroupData[{ -Cell[10439, 376, 180, 4, 27, "Input"], -Cell[10622, 382, 940, 41, 60, "Output"] +Cell[10437, 376, 180, 4, 27, "Input"], +Cell[10620, 382, 940, 41, 60, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[11611, 429, 105, 2, 9, "ExampleDelimiter"], -Cell[11719, 433, 192, 5, 45, "Input"], +Cell[11609, 429, 105, 2, 9, "ExampleDelimiter"], +Cell[11717, 433, 192, 5, 45, "Input"], Cell[CellGroupData[{ -Cell[11936, 442, 192, 5, 27, "Input", +Cell[11934, 442, 192, 5, 27, "Input", CellTags->"PolarizationSum", CellID->697709473], -Cell[12131, 449, 3297, 138, 64, "Output", +Cell[12129, 449, 3297, 138, 64, "Output", CellTags->"PolarizationSum"] }, Open ]] }, Open ]] }, Open ]], -Cell[15467, 592, 31, 0, 70, "SectionFooterSpacer"] +Cell[15465, 592, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[15535, 597, 270, 12, 70, "SeeAlsoSection", +Cell[15533, 597, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[15808, 611, 559, 19, 70, "SeeAlso"] +Cell[15806, 611, 559, 19, 56, "SeeAlso"] }, Open ]], -Cell[16382, 633, 23, 0, 70, "FooterCell"] +Cell[16380, 633, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PolarizationVector.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PolarizationVector.nb index 4d2d80047..c3faa5e84 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PolarizationVector.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PolarizationVector.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16727, 592] -NotebookOptionsPosition[ 11372, 429] -NotebookOutlinePosition[ 14759, 523] -CellTagsIndexPosition[ 14637, 517] +NotebookDataLength[ 23752, 851] +NotebookOptionsPosition[ 17841, 669] +NotebookOutlinePosition[ 21173, 762] +CellTagsIndexPosition[ 21051, 756] WindowTitle->PolarizationVector WindowFrame->Normal*) @@ -81,7 +81,7 @@ PolarizationVector.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$210328], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$211340], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PolarizationVector", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->186998201], + CellID->1310956332], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->710680084], + CellID->1531142072], Cell[CellGroupData[{ @@ -381,6 +381,246 @@ Cell[BoxData[ ImageRegion->{{0, 1}, {0, 1}}, CellTags->"PolarizationVector", CellLabel->"Out[7]="] +}, Open ]], + +Cell[TextData[{ + "Suppose that you are using unphysical polarization vectors for massless \ +gauge bosons and intend to remove the unphysical degrees of freedom at a \ +later stage using ghosts. In this case you must not use ", + StyleBox["Transversality\[Rule]True", "InlineFormula"], + ", since your polarization vectors are not transverse. Otherwise the result \ +will be inconsistent." +}], "Notes"], + +Cell["\<\ +Here everything is correct, we can use the gauge trick with unphysical \ +polarization vectors.\ +\>", "Notes"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], ";", + RowBox[{ + RowBox[{"SP", "[", "k1", "]"}], "=", "0"}], ";", + RowBox[{ + RowBox[{"SP", "[", "k2", "]"}], "=", "0"}], ";"}]], "Input", + CellLabel->"In[8]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\:0435\:04451", "=", + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"k1", ",", + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "I"}], "]"}]}], "]"}], " ", + RowBox[{"SP", "[", + RowBox[{"k2", ",", + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", + RowBox[{"-", "I"}]}], "]"}]}], "]"}], " ", + RowBox[{"SP", "[", + RowBox[{"k1", ",", + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", "I"}], "]"}]}], "]"}], " ", + RowBox[{"SP", "[", + RowBox[{"k2", ",", + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "I"}]}], "]"}]}], "]"}]}]}]], "Input", + CellLabel->"In[9]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + OverscriptBox["\[CurlyEpsilon]", "_"], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + OverscriptBox["\[CurlyEpsilon]", "_"], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm]}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + ImageSize->{335, 21}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[9]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"\:0435\:04451", "//", + RowBox[{ + RowBox[{"DoPolarizationSums", "[", + RowBox[{"#", ",", "k1", ",", "0"}], "]"}], "&"}]}], "//", + RowBox[{ + RowBox[{"DoPolarizationSums", "[", + RowBox[{"#", ",", "k2", ",", "0"}], "]"}], "&"}]}]], "Input", + CellLabel->"In[10]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], TraditionalForm]], "Output", + ImageSize->{73, 18}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[10]="] +}, Open ]], + +Cell[TextData[{ + "Here we erroneously set ", + StyleBox["Transversality\[Rule]True", "InlineFormula"], + " and consequently obtain a wrong result. In pure QED the full result \ +(physical amplitude squared) would still come out correct owing to Ward \ +identities, but e.g. in QCD this would not be the case." +}], "Notes"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\:0435\:04452", "=", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"k1", ",", + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "I", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}]}], "]"}], " ", + + RowBox[{"SP", "[", + RowBox[{"k2", ",", + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", + RowBox[{"-", "I"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}]}], "]"}], " ", + + RowBox[{"SP", "[", + RowBox[{"k1", ",", + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", "I", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}]}], "]"}], " ", + + RowBox[{"SP", "[", + RowBox[{"k2", ",", + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "I"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}]}], "]"}]}], "//", + "FCI"}]}]], "Input", + CellLabel->"In[11]:="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + ImageSize->{13, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[11]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"\:0435\:04452", "//", + RowBox[{ + RowBox[{"DoPolarizationSums", "[", + RowBox[{"#", ",", "k1", ",", "0"}], "]"}], "&"}]}], "//", + RowBox[{ + RowBox[{"DoPolarizationSums", "[", + RowBox[{"#", ",", "k2", ",", "0"}], "]"}], "&"}]}]], "Input", + CellLabel->"In[12]:="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + ImageSize->{13, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[12]="] }, Open ]] }, Open ]], @@ -430,7 +670,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PolarizationVector", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -442,7 +682,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 48.734962}", + "built" -> "{2020, 6, 20, 19, 9, 37.298372}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -462,8 +702,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -473,51 +712,51 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4534, 129, 387, 15, 31, "PrimaryExamplesSection", + Cell[4534, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->186998201]}, + CellID->1310956332]}, "PolarizationVector"->{ - Cell[5166, 158, 175, 5, 27, "Input", + Cell[5168, 158, 175, 5, 27, "Input", CellTags->"PolarizationVector", CellID->1596092203], - Cell[5344, 165, 403, 15, 37, "Output", + Cell[5346, 165, 403, 15, 37, "Output", CellTags->"PolarizationVector"], - Cell[5784, 185, 211, 6, 27, "Input", + Cell[5786, 185, 211, 6, 27, "Input", CellTags->"PolarizationVector", CellID->597384549], - Cell[5998, 193, 430, 16, 37, "Output", + Cell[6000, 193, 430, 16, 37, "Output", CellTags->"PolarizationVector"], - Cell[6677, 224, 208, 6, 27, "Input", + Cell[6679, 224, 208, 6, 27, "Input", CellTags->"PolarizationVector", CellID->1765549294], - Cell[6888, 232, 395, 11, 51, "Output", + Cell[6890, 232, 395, 11, 51, "Output", CellTags->"PolarizationVector"], - Cell[7384, 250, 278, 9, 27, "Input", + Cell[7386, 250, 278, 9, 27, "Input", CellTags->"PolarizationVector", CellID->1218109993], - Cell[7665, 261, 684, 28, 37, "Output", + Cell[7667, 261, 684, 28, 37, "Output", CellTags->"PolarizationVector"], - Cell[8386, 294, 137, 4, 27, "Input", + Cell[8388, 294, 137, 4, 27, "Input", CellTags->"PolarizationVector", CellID->918402341], - Cell[8526, 300, 514, 20, 37, "Output", + Cell[8528, 300, 514, 20, 37, "Output", CellTags->"PolarizationVector"], - Cell[9077, 325, 335, 10, 27, "Input", + Cell[9079, 325, 335, 10, 27, "Input", CellTags->"PolarizationVector", CellID->113884671], - Cell[9415, 337, 684, 28, 37, "Output", + Cell[9417, 337, 684, 28, 37, "Output", CellTags->"PolarizationVector"], - Cell[10136, 370, 137, 4, 27, "Input", + Cell[10138, 370, 137, 4, 27, "Input", CellTags->"PolarizationVector", CellID->554867330], - Cell[10276, 376, 199, 6, 35, "Output", + Cell[10278, 376, 199, 6, 35, "Output", CellTags->"PolarizationVector"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13245, 474}, - {"PolarizationVector", 13390, 478} + {"PrimaryExamplesSection", 19658, 713}, + {"PolarizationVector", 19804, 717} } *) (*NotebookFileOutline @@ -528,72 +767,92 @@ Cell[3796, 99, 295, 11, 45, "ObjectNameGrid"], Cell[4094, 112, 415, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4534, 129, 387, 15, 31, "PrimaryExamplesSection", +Cell[4534, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->186998201], + CellID->1310956332], Cell[CellGroupData[{ -Cell[4946, 148, 195, 6, 26, "ExampleSection", - CellID->710680084], +Cell[4947, 148, 196, 6, 26, "ExampleSection", + CellID->1531142072], Cell[CellGroupData[{ -Cell[5166, 158, 175, 5, 27, "Input", +Cell[5168, 158, 175, 5, 27, "Input", CellTags->"PolarizationVector", CellID->1596092203], -Cell[5344, 165, 403, 15, 37, "Output", +Cell[5346, 165, 403, 15, 37, "Output", CellTags->"PolarizationVector"] }, Open ]], Cell[CellGroupData[{ -Cell[5784, 185, 211, 6, 27, "Input", +Cell[5786, 185, 211, 6, 27, "Input", CellTags->"PolarizationVector", CellID->597384549], -Cell[5998, 193, 430, 16, 37, "Output", +Cell[6000, 193, 430, 16, 37, "Output", CellTags->"PolarizationVector"] }, Open ]], -Cell[6443, 212, 209, 8, 35, "Notes"], +Cell[6445, 212, 209, 8, 35, "Notes"], Cell[CellGroupData[{ -Cell[6677, 224, 208, 6, 27, "Input", +Cell[6679, 224, 208, 6, 27, "Input", CellTags->"PolarizationVector", CellID->1765549294], -Cell[6888, 232, 395, 11, 51, "Output", +Cell[6890, 232, 395, 11, 51, "Output", CellTags->"PolarizationVector"] }, Open ]], -Cell[7298, 246, 61, 0, 32, "Notes"], +Cell[7300, 246, 61, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[7384, 250, 278, 9, 27, "Input", +Cell[7386, 250, 278, 9, 27, "Input", CellTags->"PolarizationVector", CellID->1218109993], -Cell[7665, 261, 684, 28, 37, "Output", +Cell[7667, 261, 684, 28, 37, "Output", CellTags->"PolarizationVector"] }, Open ]], Cell[CellGroupData[{ -Cell[8386, 294, 137, 4, 27, "Input", +Cell[8388, 294, 137, 4, 27, "Input", CellTags->"PolarizationVector", CellID->918402341], -Cell[8526, 300, 514, 20, 37, "Output", +Cell[8528, 300, 514, 20, 37, "Output", CellTags->"PolarizationVector"] }, Open ]], Cell[CellGroupData[{ -Cell[9077, 325, 335, 10, 27, "Input", +Cell[9079, 325, 335, 10, 27, "Input", CellTags->"PolarizationVector", CellID->113884671], -Cell[9415, 337, 684, 28, 37, "Output", +Cell[9417, 337, 684, 28, 37, "Output", CellTags->"PolarizationVector"] }, Open ]], Cell[CellGroupData[{ -Cell[10136, 370, 137, 4, 27, "Input", +Cell[10138, 370, 137, 4, 27, "Input", CellTags->"PolarizationVector", CellID->554867330], -Cell[10276, 376, 199, 6, 35, "Output", +Cell[10278, 376, 199, 6, 35, "Output", CellTags->"PolarizationVector"] +}, Open ]], +Cell[10492, 385, 397, 7, 82, "Notes"], +Cell[10892, 394, 119, 3, 32, "Notes"], +Cell[11014, 399, 238, 7, 27, "Input"], +Cell[CellGroupData[{ +Cell[11277, 410, 677, 21, 45, "Input"], +Cell[11957, 433, 1948, 76, 42, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[13942, 514, 313, 9, 27, "Input"], +Cell[14258, 525, 650, 26, 39, "Output"] +}, Open ]], +Cell[14923, 554, 320, 6, 66, "Notes"], +Cell[CellGroupData[{ +Cell[15268, 564, 986, 30, 79, "Input"], +Cell[16257, 596, 167, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[16461, 606, 313, 9, 27, "Input"], +Cell[16777, 617, 167, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[10502, 386, 31, 0, 29, "SectionFooterSpacer"] +Cell[16971, 626, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10570, 391, 270, 12, 31, "SeeAlsoSection", +Cell[17039, 631, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10843, 405, 487, 19, 56, "SeeAlso"] +Cell[17312, 645, 487, 19, 56, "SeeAlso"] }, Open ]], -Cell[11345, 427, 23, 0, 41, "FooterCell"] +Cell[17814, 667, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PositiveInteger.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PositiveInteger.nb index 2a9562c10..8625c4d40 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PositiveInteger.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PositiveInteger.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6864, 208] +NotebookDataLength[ 6865, 208] NotebookOptionsPosition[ 4825, 151] -NotebookOutlinePosition[ 6657, 200] -CellTagsIndexPosition[ 6614, 197] +NotebookOutlinePosition[ 6658, 200] +CellTagsIndexPosition[ 6615, 197] WindowTitle->PositiveInteger WindowFrame->Normal*) @@ -79,7 +79,7 @@ PositiveInteger.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$210769], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$211786], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PositiveInteger", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 49.846879}", + "built" -> "{2020, 6, 20, 19, 9, 38.477252}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PositiveNumber.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PositiveNumber.nb index 63034d2c3..e154a1eb5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PositiveNumber.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PositiveNumber.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6878, 209] +NotebookDataLength[ 6879, 209] NotebookOptionsPosition[ 4832, 152] -NotebookOutlinePosition[ 6671, 201] -CellTagsIndexPosition[ 6628, 198] +NotebookOutlinePosition[ 6672, 201] +CellTagsIndexPosition[ 6629, 198] WindowTitle->PositiveNumber WindowFrame->Normal*) @@ -79,7 +79,7 @@ PositiveNumber.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$211211], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$212228], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PositiveNumber", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 50.917719}", + "built" -> "{2020, 6, 20, 19, 9, 39.273268}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PostFortranFile.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PostFortranFile.nb index e52f3bd34..def5f86ef 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PostFortranFile.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PostFortranFile.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7317, 218] +NotebookDataLength[ 7318, 218] NotebookOptionsPosition[ 5185, 160] -NotebookOutlinePosition[ 7109, 210] -CellTagsIndexPosition[ 7066, 207] +NotebookOutlinePosition[ 7110, 210] +CellTagsIndexPosition[ 7067, 207] WindowTitle->PostFortranFile WindowFrame->Normal*) @@ -80,7 +80,7 @@ PostFortranFile.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$211654], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$212671], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PostFortranFile", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 51.753223}", + "built" -> "{2020, 6, 20, 19, 9, 40.345768}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Power2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Power2.nb index b07cf372e..0f59d2632 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Power2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Power2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9922, 336] +NotebookDataLength[ 9926, 336] NotebookOptionsPosition[ 6631, 236] -NotebookOutlinePosition[ 9068, 304] -CellTagsIndexPosition[ 8960, 298] +NotebookOutlinePosition[ 9072, 304] +CellTagsIndexPosition[ 8964, 298] WindowTitle->Power2 WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$212097], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$213114], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Power2", ".html"]], None}]}]}, @@ -142,7 +142,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1439015721], + CellID->1366017404], Cell[CellGroupData[{ @@ -152,7 +152,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1049005295], + CellID->1823139199], Cell[CellGroupData[{ @@ -237,7 +237,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Power2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -249,7 +249,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 52.693298}", + "built" -> "{2020, 6, 20, 19, 9, 41.113665}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -281,7 +281,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4421, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1439015721]}, + CellID->1366017404]}, "Power2"->{ Cell[5055, 158, 165, 6, 27, "Input", CellTags->"Power2", @@ -297,8 +297,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8501, 280}, - {"Power2", 8635, 284} + {"PrimaryExamplesSection", 8505, 280}, + {"Power2", 8639, 284} } *) (*NotebookFileOutline @@ -311,10 +311,10 @@ Cell[3867, 110, 529, 15, 102, "Usage", Cell[CellGroupData[{ Cell[4421, 129, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1439015721], + CellID->1366017404], Cell[CellGroupData[{ Cell[4834, 148, 196, 6, 26, "ExampleSection", - CellID->1049005295], + CellID->1823139199], Cell[CellGroupData[{ Cell[5055, 158, 165, 6, 27, "Input", CellTags->"Power2", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PowerFactor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PowerFactor.nb index 83c00c00b..3ca2c5df5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PowerFactor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PowerFactor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10036, 339] +NotebookDataLength[ 9980, 338] NotebookOptionsPosition[ 6742, 240] -NotebookOutlinePosition[ 9165, 307] -CellTagsIndexPosition[ 9052, 301] +NotebookOutlinePosition[ 9109, 306] +CellTagsIndexPosition[ 8996, 300] WindowTitle->PowerFactor WindowFrame->Normal*) @@ -79,7 +79,7 @@ PowerFactor.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$212531], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$213548], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PowerFactor", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2043088650], + CellID->1282743803], Cell[CellGroupData[{ @@ -162,7 +162,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1399129809], + CellID->1191884399], Cell[CellGroupData[{ @@ -253,7 +253,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 53.973564}", + "built" -> "{2020, 6, 20, 19, 9, 42.077124}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -271,8 +271,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -284,7 +283,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4628, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2043088650]}, + CellID->1282743803]}, "PowerFactor"->{ Cell[5262, 168, 162, 6, 27, "Input", CellTags->"PowerFactor", @@ -300,8 +299,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8570, 283}, - {"PowerFactor", 8709, 287} + {"PrimaryExamplesSection", 8514, 282}, + {"PowerFactor", 8653, 286} } *) (*NotebookFileOutline @@ -314,10 +313,10 @@ Cell[3902, 110, 701, 25, 86, "Usage", Cell[CellGroupData[{ Cell[4628, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2043088650], + CellID->1282743803], Cell[CellGroupData[{ Cell[5041, 158, 196, 6, 26, "ExampleSection", - CellID->1399129809], + CellID->1191884399], Cell[CellGroupData[{ Cell[5262, 168, 162, 6, 27, "Input", CellTags->"PowerFactor", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PowerSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PowerSimplify.nb index 8a7846b51..8020b5549 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PowerSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PowerSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15094, 525] +NotebookDataLength[ 15038, 524] NotebookOptionsPosition[ 10722, 396] -NotebookOutlinePosition[ 13834, 479] -CellTagsIndexPosition[ 13717, 473] +NotebookOutlinePosition[ 13778, 478] +CellTagsIndexPosition[ 13661, 472] WindowTitle->PowerSimplify WindowFrame->Normal*) @@ -80,7 +80,7 @@ PowerSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$212966], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$213983], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PowerSimplify", ".html"]], None}]}]}, @@ -249,7 +249,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1388239057], + CellID->1517706190], Cell[CellGroupData[{ @@ -259,7 +259,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->889816326], + CellID->135394918], Cell[CellGroupData[{ @@ -397,7 +397,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"PowerSimplify", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -409,7 +409,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 55.190344}", + "built" -> "{2020, 6, 20, 19, 9, 43.113338}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -433,8 +433,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -446,7 +445,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[7269, 236, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1388239057]}, + CellID->1517706190]}, "PowerSimplify"->{ Cell[7902, 265, 252, 9, 27, "Input", CellTags->"PowerSimplify", @@ -472,8 +471,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12897, 445}, - {"PowerSimplify", 13038, 449} + {"PrimaryExamplesSection", 12841, 444}, + {"PowerSimplify", 12982, 448} } *) (*NotebookFileOutline @@ -486,10 +485,10 @@ Cell[3982, 111, 3262, 121, 144, "Usage", Cell[CellGroupData[{ Cell[7269, 236, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1388239057], + CellID->1517706190], Cell[CellGroupData[{ Cell[7682, 255, 195, 6, 26, "ExampleSection", - CellID->889816326], + CellID->135394918], Cell[CellGroupData[{ Cell[7902, 265, 252, 9, 27, "Input", CellTags->"PowerSimplify", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PreFortranFile.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PreFortranFile.nb index 8de6c4342..1d0eaf584 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PreFortranFile.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PreFortranFile.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7321, 218] +NotebookDataLength[ 7322, 218] NotebookOptionsPosition[ 5188, 160] -NotebookOutlinePosition[ 7113, 210] -CellTagsIndexPosition[ 7070, 207] +NotebookOutlinePosition[ 7114, 210] +CellTagsIndexPosition[ 7071, 207] WindowTitle->PreFortranFile WindowFrame->Normal*) @@ -80,7 +80,7 @@ PreFortranFile.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$213848], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$214865], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PreFortranFile", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 57.423750}", + "built" -> "{2020, 6, 20, 19, 9, 44.898278}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Prefactor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Prefactor.nb index 5c7fcb09a..c05d0cbe5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Prefactor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Prefactor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7371, 219] +NotebookDataLength[ 7372, 219] NotebookOptionsPosition[ 5200, 161] -NotebookOutlinePosition[ 7163, 211] -CellTagsIndexPosition[ 7120, 208] +NotebookOutlinePosition[ 7164, 211] +CellTagsIndexPosition[ 7121, 208] WindowTitle->Prefactor WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$213404], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$214421], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Prefactor", ".html"]], None}]}]}, @@ -174,7 +174,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 56.437828}", + "built" -> "{2020, 6, 20, 19, 9, 44.082054}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PropagatorDenominator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PropagatorDenominator.nb index c56045671..321f0793a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/PropagatorDenominator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/PropagatorDenominator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11533, 366] +NotebookDataLength[ 11477, 365] NotebookOptionsPosition[ 8105, 270] -NotebookOutlinePosition[ 10710, 337] -CellTagsIndexPosition[ 10585, 331] +NotebookOutlinePosition[ 10654, 336] +CellTagsIndexPosition[ 10529, 330] WindowTitle->PropagatorDenominator WindowFrame->Normal*) @@ -82,7 +82,7 @@ PropagatorDenominator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$214292], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$215309], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/PropagatorDenominator", ".html"]], None}]}]}, @@ -147,7 +147,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1600014743], + CellID->1729626311], Cell[CellGroupData[{ @@ -157,7 +157,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1515559240], + CellID->1718957930], Cell[CellGroupData[{ @@ -270,8 +270,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"PropagatorDenominator", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -283,7 +283,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 58.250628}", + "built" -> "{2020, 6, 20, 19, 9, 45.990761}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -306,8 +306,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -319,7 +318,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4817, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1600014743]}, + CellID->1729626311]}, "PropagatorDenominator"->{ Cell[5451, 163, 282, 9, 27, "Input", CellTags->"PropagatorDenominator", @@ -330,8 +329,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10232, 318}, - {"PropagatorDenominator", 10381, 322} + {"PrimaryExamplesSection", 10176, 317}, + {"PropagatorDenominator", 10325, 321} } *) (*NotebookFileOutline @@ -344,10 +343,10 @@ Cell[4104, 113, 688, 17, 119, "Usage", Cell[CellGroupData[{ Cell[4817, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1600014743], + CellID->1729626311], Cell[CellGroupData[{ Cell[5230, 153, 196, 6, 26, "ExampleSection", - CellID->1515559240], + CellID->1718957930], Cell[CellGroupData[{ Cell[5451, 163, 282, 9, 27, "Input", CellTags->"PropagatorDenominator", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QCDFeynmanRuleConvention.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QCDFeynmanRuleConvention.nb index 684f1a03a..bac23efad 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QCDFeynmanRuleConvention.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QCDFeynmanRuleConvention.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16989, 609] -NotebookOptionsPosition[ 12937, 484] -NotebookOutlinePosition[ 15136, 542] -CellTagsIndexPosition[ 15051, 537] +NotebookDataLength[ 16932, 608] +NotebookOptionsPosition[ 12935, 484] +NotebookOutlinePosition[ 15081, 541] +CellTagsIndexPosition[ 14996, 536] WindowTitle->QCDFeynmanRuleConvention WindowFrame->Normal*) @@ -83,7 +83,7 @@ QCDFeynmanRuleConvention.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$214744], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$215761], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QCDFeynmanRuleConvention", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->752835657], + CellID->231689131], Cell["", "SectionHeaderSpacer"], @@ -201,7 +201,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->807955020], + CellID->1370524075], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1951505576], + CellID->5819327], Cell["\<\ Enforce the convention as in \"Applications of Perturbative QCD\" by R. Field.\ @@ -485,7 +485,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"QCDFeynmanRuleConvention", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -497,7 +497,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 0, 59.467690}", + "built" -> "{2020, 6, 20, 19, 9, 47.008899}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -518,8 +518,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -529,14 +528,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6052, 188, 387, 15, 31, "PrimaryExamplesSection", + Cell[6052, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->807955020]} + CellID->1370524075]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14908, 530} + {"PrimaryExamplesSection", 14852, 529} } *) (*NotebookFileOutline @@ -550,67 +549,67 @@ Cell[4140, 116, 423, 11, 85, "Usage", Cell[CellGroupData[{ Cell[4588, 131, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->752835657], -Cell[5329, 157, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5363, 159, 320, 11, 70, "Notes", + CellID->231689131], +Cell[5329, 157, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5363, 159, 320, 11, 49, "Notes", CellID->879734618], -Cell[5686, 172, 139, 4, 70, "Notes", +Cell[5686, 172, 139, 4, 32, "Notes", CellID->1067943069], -Cell[5828, 178, 175, 4, 70, "Notes", +Cell[5828, 178, 175, 4, 49, "Notes", CellID->1840666987] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6052, 188, 387, 15, 31, "PrimaryExamplesSection", +Cell[6052, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->807955020], + CellID->1370524075], Cell[CellGroupData[{ -Cell[6464, 207, 196, 6, 26, "ExampleSection", - CellID->1951505576], -Cell[6663, 215, 123, 3, 32, "Notes", +Cell[6465, 207, 193, 6, 26, "ExampleSection", + CellID->5819327], +Cell[6661, 215, 123, 3, 32, "Notes", CellID->803209126], -Cell[6789, 220, 352, 10, 45, "Input", +Cell[6787, 220, 352, 10, 45, "Input", CellID->1106838633], Cell[CellGroupData[{ -Cell[7166, 234, 490, 16, 45, "Input", +Cell[7164, 234, 490, 16, 45, "Input", CellID->324395928], -Cell[7659, 252, 780, 30, 65, "Output", +Cell[7657, 252, 780, 30, 65, "Output", CellID->1640395952], -Cell[8442, 284, 703, 31, 40, "Output", +Cell[8440, 284, 703, 31, 40, "Output", CellID->439123559] }, Open ]], Cell[CellGroupData[{ -Cell[9182, 320, 124, 3, 9, "ExampleDelimiter", +Cell[9180, 320, 124, 3, 9, "ExampleDelimiter", CellID->93244301], -Cell[9309, 325, 70, 1, 32, "Notes", +Cell[9307, 325, 70, 1, 32, "Notes", CellID->1490697563], Cell[CellGroupData[{ -Cell[9404, 330, 281, 8, 45, "Input", +Cell[9402, 330, 281, 8, 45, "Input", CellID->465790131], -Cell[9688, 340, 187, 6, 35, "Output", +Cell[9686, 340, 187, 6, 35, "Output", CellID->1889181831], -Cell[9878, 348, 187, 6, 35, "Output", +Cell[9876, 348, 187, 6, 35, "Output", CellID->1408422653] }, Open ]], Cell[CellGroupData[{ -Cell[10102, 359, 491, 16, 45, "Input", +Cell[10100, 359, 491, 16, 45, "Input", CellID->1471525816], -Cell[10596, 377, 738, 29, 65, "Output", +Cell[10594, 377, 738, 29, 65, "Output", CellID->949693572], -Cell[11337, 408, 766, 33, 43, "Output", +Cell[11335, 408, 766, 33, 43, "Output", CellID->292726559] }, Open ]] }, Open ]] }, Open ]], -Cell[12142, 446, 31, 0, 29, "SectionFooterSpacer"] +Cell[12140, 446, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12210, 451, 270, 12, 31, "SeeAlsoSection", +Cell[12208, 451, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12483, 465, 412, 14, 56, "SeeAlso", +Cell[12481, 465, 412, 14, 56, "SeeAlso", CellID->1235706309] }, Open ]], -Cell[12910, 482, 23, 0, 41, "FooterCell"] +Cell[12908, 482, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QGV.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QGV.nb index 259f510a0..3c481599a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QGV.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QGV.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6691, 206] +NotebookDataLength[ 6693, 206] NotebookOptionsPosition[ 4750, 151] -NotebookOutlinePosition[ 6484, 198] -CellTagsIndexPosition[ 6441, 195] +NotebookOutlinePosition[ 6486, 198] +CellTagsIndexPosition[ 6443, 195] WindowTitle->QGV WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$215188], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$216205], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QGV", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 0.579914}", + "built" -> "{2020, 6, 20, 19, 9, 48.087185}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QO.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QO.nb index 76d4df89f..e23ddf6c5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QO.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QO.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6714, 206] +NotebookDataLength[ 6716, 206] NotebookOptionsPosition[ 4775, 151] -NotebookOutlinePosition[ 6507, 198] -CellTagsIndexPosition[ 6464, 195] +NotebookOutlinePosition[ 6509, 198] +CellTagsIndexPosition[ 6466, 195] WindowTitle->QO WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$215636], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$216653], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QO", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 1.713084}", + "built" -> "{2020, 6, 20, 19, 9, 48.892877}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QP.nb index 12ce47de0..cfd6dd3e4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QP.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6324, 200] +NotebookDataLength[ 6326, 200] NotebookOptionsPosition[ 4146, 134] -NotebookOutlinePosition[ 6083, 190] -CellTagsIndexPosition[ 6019, 185] +NotebookOutlinePosition[ 6085, 190] +CellTagsIndexPosition[ 6021, 185] WindowTitle->QP WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$216083], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$217100], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QP", ".html"]], None}]}]}, @@ -147,7 +147,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 2.558030}", + "built" -> "{2020, 6, 20, 19, 9, 49.693879}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -184,7 +184,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"QP", 5914, 178} + {"QP", 5916, 178} } *) (*NotebookFileOutline diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuantumField.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuantumField.nb index b46a128e3..d08bb9817 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuantumField.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuantumField.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 22624, 819] +NotebookDataLength[ 22569, 818] NotebookOptionsPosition[ 14976, 577] -NotebookOutlinePosition[ 19468, 704] -CellTagsIndexPosition[ 19352, 698] +NotebookOutlinePosition[ 19413, 703] +CellTagsIndexPosition[ 19297, 697] WindowTitle->QuantumField WindowFrame->Normal*) @@ -82,7 +82,7 @@ QuantumField.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$216532], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$217549], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QuantumField", ".html"]], None}]}]}, @@ -147,7 +147,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1519740058], + CellID->1879988091], Cell[CellGroupData[{ @@ -157,7 +157,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1271161724], + CellID->1526540996], Cell["This denotes a scalar field.", "Notes"], @@ -577,8 +577,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"QuantumField", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -590,7 +590,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 3.544006}", + "built" -> "{2020, 6, 20, 19, 9, 50.809894}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -613,8 +613,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -626,7 +625,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4779, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1519740058]}, + CellID->1879988091]}, "QuantumField"->{ Cell[5461, 165, 136, 4, 27, "Input", CellTags->"QuantumField", @@ -697,8 +696,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17070, 625}, - {"QuantumField", 17210, 629} + {"PrimaryExamplesSection", 17015, 624}, + {"QuantumField", 17155, 628} } *) (*NotebookFileOutline @@ -711,10 +710,10 @@ Cell[4094, 113, 660, 17, 119, "Usage", Cell[CellGroupData[{ Cell[4779, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1519740058], + CellID->1879988091], Cell[CellGroupData[{ Cell[5192, 153, 196, 6, 26, "ExampleSection", - CellID->1271161724], + CellID->1526540996], Cell[5391, 161, 45, 0, 32, "Notes"], Cell[CellGroupData[{ Cell[5461, 165, 136, 4, 27, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkField.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkField.nb index dd11be393..2f52a536a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkField.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkField.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10293, 344] -NotebookOptionsPosition[ 7067, 247] -NotebookOutlinePosition[ 9318, 309] -CellTagsIndexPosition[ 9206, 303] +NotebookDataLength[ 10236, 343] +NotebookOptionsPosition[ 7066, 247] +NotebookOutlinePosition[ 9262, 308] +CellTagsIndexPosition[ 9150, 302] WindowTitle->QuarkField WindowFrame->Normal*) @@ -81,7 +81,7 @@ QuarkField.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$217846], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$218863], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QuarkField", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1129859403], + CellID->785222720], Cell["", "SectionHeaderSpacer"], @@ -179,7 +179,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->445214421], + CellID->1822957959], Cell[CellGroupData[{ @@ -189,7 +189,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1688325336], + CellID->166818855], Cell[CellGroupData[{ @@ -248,7 +248,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"QuarkField", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -260,7 +260,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 7.285329}", + "built" -> "{2020, 6, 20, 19, 9, 53.903781}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -278,8 +278,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -289,21 +288,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5344, 166, 387, 15, 31, "PrimaryExamplesSection", + Cell[5343, 166, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->445214421]}, + CellID->1822957959]}, "QuarkField"->{ - Cell[5977, 195, 105, 3, 27, "Input", + Cell[5976, 195, 105, 3, 27, "Input", CellTags->"QuarkField", CellID->1364163366], - Cell[6085, 200, 196, 6, 37, "Output", + Cell[6084, 200, 196, 6, 37, "Output", CellTags->"QuarkField"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8887, 290}, - {"QuarkField", 9024, 294} + {"PrimaryExamplesSection", 8830, 289}, + {"QuarkField", 8968, 293} } *) (*NotebookFileOutline @@ -315,37 +314,37 @@ Cell[CellGroupData[{ Cell[4022, 114, 337, 10, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4384, 128, 739, 24, 31, "NotesSection", +Cell[4384, 128, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1129859403], -Cell[5126, 154, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5160, 156, 135, 4, 70, "Notes", + CellID->785222720], +Cell[5125, 154, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5159, 156, 135, 4, 70, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5344, 166, 387, 15, 31, "PrimaryExamplesSection", +Cell[5343, 166, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->445214421], + CellID->1822957959], Cell[CellGroupData[{ -Cell[5756, 185, 196, 6, 26, "ExampleSection", - CellID->1688325336], +Cell[5756, 185, 195, 6, 26, "ExampleSection", + CellID->166818855], Cell[CellGroupData[{ -Cell[5977, 195, 105, 3, 27, "Input", +Cell[5976, 195, 105, 3, 27, "Input", CellTags->"QuarkField", CellID->1364163366], -Cell[6085, 200, 196, 6, 37, "Output", +Cell[6084, 200, 196, 6, 37, "Output", CellTags->"QuarkField"] }, Open ]] }, Open ]], -Cell[6308, 210, 31, 0, 29, "SectionFooterSpacer"] +Cell[6307, 210, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6376, 215, 270, 12, 31, "SeeAlsoSection", +Cell[6375, 215, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6649, 229, 376, 13, 56, "SeeAlso"] +Cell[6648, 229, 376, 13, 56, "SeeAlso"] }, Open ]], -Cell[7040, 245, 23, 0, 41, "FooterCell"] +Cell[7039, 245, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldChi.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldChi.nb index f6cf65145..442dd0e84 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldChi.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldChi.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11156, 390] -NotebookOptionsPosition[ 8035, 294] -NotebookOutlinePosition[ 10103, 350] -CellTagsIndexPosition[ 10019, 345] +NotebookDataLength[ 11099, 389] +NotebookOptionsPosition[ 8034, 294] +NotebookOutlinePosition[ 10047, 349] +CellTagsIndexPosition[ 9963, 344] WindowTitle->QuarkFieldChi WindowFrame->Normal*) @@ -59,7 +59,7 @@ QuarkFieldChi.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$217412], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$218429], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QuarkFieldChi", ".html"]], None}]}]}, @@ -127,7 +127,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1321284150], + CellID->2082912005], Cell["", "SectionHeaderSpacer"], @@ -156,7 +156,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1705075774], + CellID->1813925859], Cell[CellGroupData[{ @@ -166,7 +166,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->836054372], + CellID->74016086], Cell[CellGroupData[{ @@ -307,7 +307,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 6.243410}", + "built" -> "{2020, 6, 20, 19, 9, 52.896823}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -326,8 +326,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -339,12 +338,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4522, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1705075774]} + CellID->1813925859]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9875, 338} + {"PrimaryExamplesSection", 9819, 337} } *) (*NotebookFileOutline @@ -358,40 +357,40 @@ Cell[3197, 91, 340, 10, 84, "Usage", Cell[CellGroupData[{ Cell[3562, 105, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1321284150], -Cell[4304, 131, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4338, 133, 135, 4, 70, "Notes", + CellID->2082912005], +Cell[4304, 131, 31, 0, 14, "SectionHeaderSpacer"], +Cell[4338, 133, 135, 4, 32, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell[4522, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1705075774], + CellID->1813925859], Cell[CellGroupData[{ -Cell[4935, 162, 195, 6, 26, "ExampleSection", - CellID->836054372], +Cell[4935, 162, 194, 6, 26, "ExampleSection", + CellID->74016086], Cell[CellGroupData[{ -Cell[5155, 172, 82, 2, 27, "Input", +Cell[5154, 172, 82, 2, 27, "Input", CellID->713862864], -Cell[5240, 176, 192, 6, 38, "Output", +Cell[5239, 176, 192, 6, 38, "Output", CellID->1462318022] }, Open ]], Cell[CellGroupData[{ -Cell[5469, 187, 294, 7, 45, "Input", +Cell[5468, 187, 294, 7, 45, "Input", CellID->497682476], -Cell[5766, 196, 580, 23, 42, "Output", +Cell[5765, 196, 580, 23, 42, "Output", CellID->1741711077] }, Open ]], Cell[CellGroupData[{ -Cell[6383, 224, 110, 3, 27, "Input", +Cell[6382, 224, 110, 3, 27, "Input", CellID->304243571], -Cell[6496, 229, 1473, 58, 43, "Output", +Cell[6495, 229, 1473, 58, 43, "Output", CellID->459767281] }, Open ]] }, Open ]] }, Open ]], -Cell[8008, 292, 23, 0, 41, "FooterCell"] +Cell[8007, 292, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldChiDagger.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldChiDagger.nb index 825ca99dc..f611a1b2d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldChiDagger.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldChiDagger.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11265, 391] -NotebookOptionsPosition[ 8114, 295] -NotebookOutlinePosition[ 10213, 351] -CellTagsIndexPosition[ 10129, 346] +NotebookDataLength[ 11207, 390] +NotebookOptionsPosition[ 8112, 295] +NotebookOutlinePosition[ 10157, 350] +CellTagsIndexPosition[ 10073, 345] WindowTitle->QuarkFieldChiDagger WindowFrame->Normal*) @@ -59,7 +59,7 @@ QuarkFieldChiDagger.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$216980], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$217997], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QuarkFieldChiDagger", ".html"]], None}]}]}, @@ -127,7 +127,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1754857514], + CellID->236905025], Cell["", "SectionHeaderSpacer"], @@ -156,7 +156,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->168180068], + CellID->1192937347], Cell[CellGroupData[{ @@ -166,7 +166,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1223850326], + CellID->27961156], Cell[CellGroupData[{ @@ -295,8 +295,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"QuarkFieldChiDagger", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -308,7 +308,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 4.809555}", + "built" -> "{2020, 6, 20, 19, 9, 51.896238}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -327,8 +327,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -338,14 +337,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4564, 143, 387, 15, 31, "PrimaryExamplesSection", + Cell[4563, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->168180068]} + CellID->1192937347]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9986, 339} + {"PrimaryExamplesSection", 9929, 338} } *) (*NotebookFileOutline @@ -357,42 +356,42 @@ Cell[CellGroupData[{ Cell[3233, 91, 346, 10, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3604, 105, 739, 24, 31, "NotesSection", +Cell[3604, 105, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1754857514], -Cell[4346, 131, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4380, 133, 135, 4, 70, "Notes", + CellID->236905025], +Cell[4345, 131, 31, 0, 14, "SectionHeaderSpacer"], +Cell[4379, 133, 135, 4, 32, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4564, 143, 387, 15, 31, "PrimaryExamplesSection", +Cell[4563, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->168180068], + CellID->1192937347], Cell[CellGroupData[{ -Cell[4976, 162, 196, 6, 26, "ExampleSection", - CellID->1223850326], +Cell[4976, 162, 194, 6, 26, "ExampleSection", + CellID->27961156], Cell[CellGroupData[{ -Cell[5197, 172, 89, 2, 27, "Input", +Cell[5195, 172, 89, 2, 27, "Input", CellID->1148663248], -Cell[5289, 176, 223, 7, 41, "Output", +Cell[5287, 176, 223, 7, 41, "Output", CellID->629632876] }, Open ]], Cell[CellGroupData[{ -Cell[5549, 188, 294, 7, 45, "Input", +Cell[5547, 188, 294, 7, 45, "Input", CellID->497682476], -Cell[5846, 197, 579, 23, 42, "Output", +Cell[5844, 197, 579, 23, 42, "Output", CellID->861497191] }, Open ]], Cell[CellGroupData[{ -Cell[6462, 225, 110, 3, 27, "Input", +Cell[6460, 225, 110, 3, 27, "Input", CellID->304243571], -Cell[6575, 230, 1473, 58, 43, "Output", +Cell[6573, 230, 1473, 58, 43, "Output", CellID->726769996] }, Open ]] }, Open ]] }, Open ]], -Cell[8087, 293, 23, 0, 41, "FooterCell"] +Cell[8085, 293, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldPsi.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldPsi.nb index 996e2da30..26568624e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldPsi.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldPsi.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11169, 391] -NotebookOptionsPosition[ 8046, 295] -NotebookOutlinePosition[ 10114, 351] -CellTagsIndexPosition[ 10030, 346] +NotebookDataLength[ 11110, 390] +NotebookOptionsPosition[ 8044, 295] +NotebookOutlinePosition[ 10057, 350] +CellTagsIndexPosition[ 9973, 345] WindowTitle->QuarkFieldPsi WindowFrame->Normal*) @@ -59,7 +59,7 @@ QuarkFieldPsi.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$218714], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$219731], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QuarkFieldPsi", ".html"]], None}]}]}, @@ -128,7 +128,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1866551030], + CellID->189822223], Cell["", "SectionHeaderSpacer"], @@ -157,7 +157,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1620274030], + CellID->1297040926], Cell[CellGroupData[{ @@ -167,7 +167,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1979523067], + CellID->722652536], Cell[CellGroupData[{ @@ -296,7 +296,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"QuarkFieldPsi", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -308,7 +308,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 9.601018}", + "built" -> "{2020, 6, 20, 19, 9, 56.030985}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -327,8 +327,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -338,14 +337,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4531, 144, 388, 15, 31, "PrimaryExamplesSection", + Cell[4530, 144, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1620274030]} + CellID->1297040926]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9886, 339} + {"PrimaryExamplesSection", 9829, 338} } *) (*NotebookFileOutline @@ -357,42 +356,42 @@ Cell[CellGroupData[{ Cell[3197, 91, 349, 11, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3571, 106, 739, 24, 31, "NotesSection", +Cell[3571, 106, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1866551030], -Cell[4313, 132, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4347, 134, 135, 4, 70, "Notes", + CellID->189822223], +Cell[4312, 132, 31, 0, 70, "SectionHeaderSpacer"], +Cell[4346, 134, 135, 4, 70, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4531, 144, 388, 15, 31, "PrimaryExamplesSection", +Cell[4530, 144, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1620274030], + CellID->1297040926], Cell[CellGroupData[{ -Cell[4944, 163, 196, 6, 26, "ExampleSection", - CellID->1979523067], +Cell[4943, 163, 195, 6, 26, "ExampleSection", + CellID->722652536], Cell[CellGroupData[{ -Cell[5165, 173, 82, 2, 27, "Input", +Cell[5163, 173, 82, 2, 27, "Input", CellID->323831762], -Cell[5250, 177, 192, 6, 37, "Output", +Cell[5248, 177, 192, 6, 37, "Output", CellID->1906276170] }, Open ]], Cell[CellGroupData[{ -Cell[5479, 188, 294, 7, 45, "Input", +Cell[5477, 188, 294, 7, 45, "Input", CellID->497682476], -Cell[5776, 197, 580, 23, 42, "Output", +Cell[5774, 197, 580, 23, 42, "Output", CellID->2090937959] }, Open ]], Cell[CellGroupData[{ -Cell[6393, 225, 110, 3, 27, "Input", +Cell[6391, 225, 110, 3, 27, "Input", CellID->304243571], -Cell[6506, 230, 1474, 58, 43, "Output", +Cell[6504, 230, 1474, 58, 43, "Output", CellID->1801611746] }, Open ]] }, Open ]] }, Open ]], -Cell[8019, 293, 23, 0, 41, "FooterCell"] +Cell[8017, 293, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldPsiDagger.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldPsiDagger.nb index aadfcc0cc..70b3cbaae 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldPsiDagger.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkFieldPsiDagger.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11533, 402] -NotebookOptionsPosition[ 8163, 297] -NotebookOutlinePosition[ 10431, 360] -CellTagsIndexPosition[ 10318, 354] +NotebookDataLength[ 11539, 402] +NotebookOptionsPosition[ 8165, 297] +NotebookOutlinePosition[ 10435, 360] +CellTagsIndexPosition[ 10322, 354] WindowTitle->QuarkFieldPsiDagger WindowFrame->Normal*) @@ -59,7 +59,7 @@ QuarkFieldPsiDagger.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$218282], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$219299], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QuarkFieldPsiDagger", ".html"]], None}]}]}, @@ -127,7 +127,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->438342181], + CellID->1890674098], Cell["", "SectionHeaderSpacer"], @@ -156,7 +156,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2036647928], + CellID->1134808938], Cell[CellGroupData[{ @@ -166,7 +166,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->941412550], + CellID->2074389434], Cell[CellGroupData[{ @@ -297,8 +297,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowSize->{808, 840}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"QuarkFieldPsiDagger", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -310,7 +310,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 8.443238}", + "built" -> "{2020, 6, 20, 19, 9, 55.093008}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -339,22 +339,22 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4563, 143, 388, 15, 31, "PrimaryExamplesSection", + Cell[4564, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2036647928]}, + CellID->1134808938]}, "QuarkField"->{ - Cell[5196, 172, 114, 3, 27, "Input", + Cell[5198, 172, 114, 3, 27, "Input", CellTags->"QuarkField", CellID->1364163366], - Cell[5313, 177, 246, 8, 40, "Output", + Cell[5315, 177, 246, 8, 40, "Output", CellTags->"QuarkField", CellID->1343136]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9978, 340}, - {"QuarkField", 10116, 344} + {"PrimaryExamplesSection", 9982, 340}, + {"QuarkField", 10120, 344} } *) (*NotebookFileOutline @@ -366,44 +366,44 @@ Cell[CellGroupData[{ Cell[3233, 91, 346, 10, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3604, 105, 738, 24, 31, "NotesSection", +Cell[3604, 105, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->438342181], -Cell[4345, 131, 31, 0, 14, "SectionHeaderSpacer"], -Cell[4379, 133, 135, 4, 32, "Notes", + CellID->1890674098], +Cell[4346, 131, 31, 0, 70, "SectionHeaderSpacer"], +Cell[4380, 133, 135, 4, 70, "Notes", CellID->1067943069] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4563, 143, 388, 15, 31, "PrimaryExamplesSection", +Cell[4564, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2036647928], + CellID->1134808938], Cell[CellGroupData[{ -Cell[4976, 162, 195, 6, 26, "ExampleSection", - CellID->941412550], +Cell[4977, 162, 196, 6, 26, "ExampleSection", + CellID->2074389434], Cell[CellGroupData[{ -Cell[5196, 172, 114, 3, 27, "Input", +Cell[5198, 172, 114, 3, 27, "Input", CellTags->"QuarkField", CellID->1364163366], -Cell[5313, 177, 246, 8, 40, "Output", +Cell[5315, 177, 246, 8, 40, "Output", CellTags->"QuarkField", CellID->1343136] }, Open ]], Cell[CellGroupData[{ -Cell[5596, 190, 294, 7, 45, "Input", +Cell[5598, 190, 294, 7, 45, "Input", CellID->497682476], -Cell[5893, 199, 580, 23, 42, "Output", +Cell[5895, 199, 580, 23, 42, "Output", CellID->1166658841] }, Open ]], Cell[CellGroupData[{ -Cell[6510, 227, 110, 3, 27, "Input", +Cell[6512, 227, 110, 3, 27, "Input", CellID->304243571], -Cell[6623, 232, 1474, 58, 43, "Output", +Cell[6625, 232, 1474, 58, 43, "Output", CellID->2081171150] }, Open ]] }, Open ]] }, Open ]], -Cell[8136, 295, 23, 0, 41, "FooterCell"] +Cell[8138, 295, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkGluonVertex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkGluonVertex.nb index 0775922c6..c5165456d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkGluonVertex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkGluonVertex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 22723, 814] -NotebookOptionsPosition[ 16914, 632] -NotebookOutlinePosition[ 20122, 721] -CellTagsIndexPosition[ 20002, 715] +NotebookDataLength[ 22664, 813] +NotebookOptionsPosition[ 16913, 632] +NotebookOutlinePosition[ 20064, 720] +CellTagsIndexPosition[ 19944, 714] WindowTitle->QuarkGluonVertex WindowFrame->Normal*) @@ -79,7 +79,7 @@ QuarkGluonVertex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$219172], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$220189], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QuarkGluonVertex", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1086406271], + CellID->1434059188], Cell["", "SectionHeaderSpacer"], @@ -225,7 +225,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1807272232], + CellID->460513610], Cell[CellGroupData[{ @@ -235,7 +235,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->542719504], + CellID->106310961], Cell[CellGroupData[{ @@ -633,7 +633,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"QuarkGluonVertex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -645,7 +645,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 10.687084}", + "built" -> "{2020, 6, 20, 19, 9, 57.031746}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -665,8 +665,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -676,46 +675,46 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6615, 212, 388, 15, 31, "PrimaryExamplesSection", + Cell[6615, 212, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1807272232]}, + CellID->460513610]}, "QuarkGluonVertex"->{ - Cell[7248, 241, 220, 6, 27, "Input", + Cell[7247, 241, 220, 6, 27, "Input", CellTags->"QuarkGluonVertex", CellID->158944719], - Cell[7471, 249, 508, 19, 37, "Output", + Cell[7470, 249, 508, 19, 37, "Output", CellTags->"QuarkGluonVertex"], - Cell[9305, 333, 275, 7, 27, "Input", + Cell[9304, 333, 275, 7, 27, "Input", CellTags->"QuarkGluonVertex", CellID->196044183], - Cell[9583, 342, 783, 28, 74, "Output", + Cell[9582, 342, 783, 28, 74, "Output", CellTags->"QuarkGluonVertex"], - Cell[10403, 375, 276, 7, 27, "Input", + Cell[10402, 375, 276, 7, 27, "Input", CellTags->"QuarkGluonVertex", CellID->1947570088], - Cell[10682, 384, 678, 24, 60, "Output", + Cell[10681, 384, 678, 24, 60, "Output", CellTags->"QuarkGluonVertex"], - Cell[11397, 413, 275, 7, 27, "Input", + Cell[11396, 413, 275, 7, 27, "Input", CellTags->"QuarkGluonVertex", CellID->339282308], - Cell[11675, 422, 757, 27, 60, "Output", + Cell[11674, 422, 757, 27, 60, "Output", CellTags->"QuarkGluonVertex"], - Cell[12611, 461, 383, 11, 27, "Input", + Cell[12610, 461, 383, 11, 27, "Input", CellTags->"QuarkGluonVertex", CellID->2017937273], - Cell[12997, 474, 2368, 85, 67, "Output", + Cell[12996, 474, 2368, 85, 67, "Output", CellTags->"QuarkGluonVertex"], - Cell[15402, 564, 383, 11, 27, "Input", + Cell[15401, 564, 383, 11, 27, "Input", CellTags->"QuarkGluonVertex", CellID->729288779], - Cell[15788, 577, 508, 19, 37, "Output", + Cell[15787, 577, 508, 19, 37, "Output", CellTags->"QuarkGluonVertex"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 18801, 677}, - {"QuarkGluonVertex", 18945, 681} + {"PrimaryExamplesSection", 18744, 676}, + {"QuarkGluonVertex", 18887, 680} } *) (*NotebookFileOutline @@ -729,7 +728,7 @@ Cell[3950, 112, 439, 13, 85, "Usage", Cell[CellGroupData[{ Cell[4414, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1086406271], + CellID->1434059188], Cell[5156, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[5190, 157, 275, 9, 70, "Notes", CellID->1067943069], @@ -742,80 +741,80 @@ Cell[6008, 190, 546, 15, 56, "Output"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6615, 212, 388, 15, 31, "PrimaryExamplesSection", +Cell[6615, 212, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1807272232], + CellID->460513610], Cell[CellGroupData[{ -Cell[7028, 231, 195, 6, 26, "ExampleSection", - CellID->542719504], +Cell[7027, 231, 195, 6, 26, "ExampleSection", + CellID->106310961], Cell[CellGroupData[{ -Cell[7248, 241, 220, 6, 27, "Input", +Cell[7247, 241, 220, 6, 27, "Input", CellTags->"QuarkGluonVertex", CellID->158944719], -Cell[7471, 249, 508, 19, 37, "Output", +Cell[7470, 249, 508, 19, 37, "Output", CellTags->"QuarkGluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[8016, 273, 105, 2, 9, "ExampleDelimiter"], +Cell[8015, 273, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[8146, 279, 106, 3, 27, "Input"], -Cell[8255, 284, 270, 10, 38, "Output"] +Cell[8145, 279, 106, 3, 27, "Input"], +Cell[8254, 284, 270, 10, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8562, 299, 84, 2, 27, "Input"], -Cell[8649, 303, 477, 18, 37, "Output"] +Cell[8561, 299, 84, 2, 27, "Input"], +Cell[8648, 303, 477, 18, 37, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[9175, 327, 105, 2, 9, "ExampleDelimiter"], +Cell[9174, 327, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[9305, 333, 275, 7, 27, "Input", +Cell[9304, 333, 275, 7, 27, "Input", CellTags->"QuarkGluonVertex", CellID->196044183], -Cell[9583, 342, 783, 28, 74, "Output", +Cell[9582, 342, 783, 28, 74, "Output", CellTags->"QuarkGluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[10403, 375, 276, 7, 27, "Input", +Cell[10402, 375, 276, 7, 27, "Input", CellTags->"QuarkGluonVertex", CellID->1947570088], -Cell[10682, 384, 678, 24, 60, "Output", +Cell[10681, 384, 678, 24, 60, "Output", CellTags->"QuarkGluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[11397, 413, 275, 7, 27, "Input", +Cell[11396, 413, 275, 7, 27, "Input", CellTags->"QuarkGluonVertex", CellID->339282308], -Cell[11675, 422, 757, 27, 60, "Output", +Cell[11674, 422, 757, 27, 60, "Output", CellTags->"QuarkGluonVertex"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[12481, 455, 105, 2, 9, "ExampleDelimiter"], +Cell[12480, 455, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[12611, 461, 383, 11, 27, "Input", +Cell[12610, 461, 383, 11, 27, "Input", CellTags->"QuarkGluonVertex", CellID->2017937273], -Cell[12997, 474, 2368, 85, 67, "Output", +Cell[12996, 474, 2368, 85, 67, "Output", CellTags->"QuarkGluonVertex"] }, Open ]], Cell[CellGroupData[{ -Cell[15402, 564, 383, 11, 27, "Input", +Cell[15401, 564, 383, 11, 27, "Input", CellTags->"QuarkGluonVertex", CellID->729288779], -Cell[15788, 577, 508, 19, 37, "Output", +Cell[15787, 577, 508, 19, 37, "Output", CellTags->"QuarkGluonVertex"] }, Open ]] }, Open ]] }, Open ]], -Cell[16335, 601, 31, 0, 29, "SectionFooterSpacer"] +Cell[16334, 601, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[16403, 606, 270, 12, 31, "SeeAlsoSection", +Cell[16402, 606, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[16676, 620, 196, 7, 56, "SeeAlso"] +Cell[16675, 620, 196, 7, 56, "SeeAlso"] }, Open ]], -Cell[16887, 630, 23, 0, 41, "FooterCell"] +Cell[16886, 630, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkMass.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkMass.nb index a4f729408..9a86d255b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkMass.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkMass.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7250, 222] +NotebookDataLength[ 7251, 222] NotebookOptionsPosition[ 5258, 166] -NotebookOutlinePosition[ 7041, 214] -CellTagsIndexPosition[ 6998, 211] +NotebookOutlinePosition[ 7042, 214] +CellTagsIndexPosition[ 6999, 211] WindowTitle->QuarkMass WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$219618], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$220635], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QuarkMass", ".html"]], None}]}]}, @@ -179,7 +179,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 11.896397}", + "built" -> "{2020, 6, 20, 19, 9, 58.099357}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkPropagator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkPropagator.nb index 91b389d74..bc550082c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkPropagator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/QuarkPropagator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15667, 542] -NotebookOptionsPosition[ 11529, 416] -NotebookOutlinePosition[ 14074, 485] -CellTagsIndexPosition[ 13955, 479] +NotebookDataLength[ 15613, 541] +NotebookOptionsPosition[ 11530, 416] +NotebookOutlinePosition[ 14019, 484] +CellTagsIndexPosition[ 13900, 478] WindowTitle->QuarkPropagator WindowFrame->Normal*) @@ -81,7 +81,7 @@ QuarkPropagator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$220080], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$221097], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/QuarkPropagator", ".html"]], None}]}]}, @@ -160,7 +160,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->377938345], + CellID->652592944], Cell["", "SectionHeaderSpacer"], @@ -219,7 +219,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->708793879], + CellID->136169162], Cell[CellGroupData[{ @@ -229,7 +229,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->438324506], + CellID->1389054764], Cell[CellGroupData[{ @@ -417,7 +417,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"QuarkPropagator", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -429,7 +429,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 13.015421}", + "built" -> "{2020, 6, 20, 19, 9, 58.963877}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -449,8 +449,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -462,24 +461,24 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6584, 206, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->708793879]}, + CellID->136169162]}, "QuarkPropagator"->{ - Cell[7216, 235, 205, 6, 27, "Input", + Cell[7217, 235, 205, 6, 27, "Input", CellTags->"QuarkPropagator", CellID->1589814930], - Cell[7424, 243, 651, 24, 60, "Output", + Cell[7425, 243, 651, 24, 60, "Output", CellTags->"QuarkPropagator"], - Cell[8112, 272, 254, 8, 27, "Input", + Cell[8113, 272, 254, 8, 27, "Input", CellTags->"QuarkPropagator", CellID->1965811029], - Cell[8369, 282, 848, 29, 60, "Output", + Cell[8370, 282, 848, 29, 60, "Output", CellTags->"QuarkPropagator"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13451, 461}, - {"QuarkPropagator", 13593, 465} + {"PrimaryExamplesSection", 13396, 460}, + {"QuarkPropagator", 13538, 464} } *) (*NotebookFileOutline @@ -493,7 +492,7 @@ Cell[4062, 114, 674, 20, 148, "Usage", Cell[CellGroupData[{ Cell[4761, 138, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->377938345], + CellID->652592944], Cell[5502, 164, 31, 0, 70, "SectionHeaderSpacer"], Cell[5536, 166, 271, 9, 70, "Notes", CellID->1067943069], @@ -506,44 +505,44 @@ Cell[5933, 183, 590, 16, 56, "Output"] Cell[CellGroupData[{ Cell[6584, 206, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->708793879], + CellID->136169162], Cell[CellGroupData[{ -Cell[6996, 225, 195, 6, 26, "ExampleSection", - CellID->438324506], +Cell[6996, 225, 196, 6, 26, "ExampleSection", + CellID->1389054764], Cell[CellGroupData[{ -Cell[7216, 235, 205, 6, 27, "Input", +Cell[7217, 235, 205, 6, 27, "Input", CellTags->"QuarkPropagator", CellID->1589814930], -Cell[7424, 243, 651, 24, 60, "Output", +Cell[7425, 243, 651, 24, 60, "Output", CellTags->"QuarkPropagator"] }, Open ]], Cell[CellGroupData[{ -Cell[8112, 272, 254, 8, 27, "Input", +Cell[8113, 272, 254, 8, 27, "Input", CellTags->"QuarkPropagator", CellID->1965811029], -Cell[8369, 282, 848, 29, 60, "Output", +Cell[8370, 282, 848, 29, 60, "Output", CellTags->"QuarkPropagator"] }, Open ]], Cell[CellGroupData[{ -Cell[9254, 316, 105, 2, 9, "ExampleDelimiter"], +Cell[9255, 316, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[9384, 322, 125, 4, 27, "Input"], -Cell[9512, 328, 262, 9, 39, "Output"] +Cell[9385, 322, 125, 4, 27, "Input"], +Cell[9513, 328, 262, 9, 39, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[9811, 342, 84, 2, 27, "Input"], -Cell[9898, 346, 818, 28, 60, "Output"] +Cell[9812, 342, 84, 2, 27, "Input"], +Cell[9899, 346, 818, 28, 60, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[10755, 379, 31, 0, 70, "SectionFooterSpacer"] +Cell[10756, 379, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10823, 384, 270, 12, 70, "SeeAlsoSection", +Cell[10824, 384, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11096, 398, 391, 13, 70, "SeeAlso"] +Cell[11097, 398, 391, 13, 56, "SeeAlso"] }, Open ]], -Cell[11502, 414, 23, 0, 70, "FooterCell"] +Cell[11503, 414, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHI.nb index 1617d2122..2e16c9ab6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHI.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8064, 231] +NotebookDataLength[ 8065, 231] NotebookOptionsPosition[ 5606, 169] -NotebookOutlinePosition[ 7856, 223] -CellTagsIndexPosition[ 7813, 220] +NotebookOutlinePosition[ 7857, 223] +CellTagsIndexPosition[ 7814, 220] WindowTitle->RHI WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$222301], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$223318], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/RHI", ".html"]], None}]}]}, @@ -182,7 +182,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 18.175760}", + "built" -> "{2020, 6, 20, 19, 10, 3.910219}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHI2FC.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHI2FC.nb index e6827ee89..263092d6e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHI2FC.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHI2FC.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8042, 230] +NotebookDataLength[ 8043, 230] NotebookOptionsPosition[ 5583, 168] -NotebookOutlinePosition[ 7834, 222] -CellTagsIndexPosition[ 7791, 219] +NotebookOutlinePosition[ 7835, 222] +CellTagsIndexPosition[ 7792, 219] WindowTitle->RHI WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$221853], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$222870], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/RHI", ".html"]], None}]}]}, @@ -181,7 +181,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 17.156224}", + "built" -> "{2020, 6, 20, 19, 10, 2.828833}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHM.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHM.nb index 3cd4b071b..f9f22b60c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHM.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHM.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6661, 207] +NotebookDataLength[ 6662, 207] NotebookOptionsPosition[ 4714, 152] -NotebookOutlinePosition[ 6454, 199] -CellTagsIndexPosition[ 6411, 196] +NotebookOutlinePosition[ 6455, 199] +CellTagsIndexPosition[ 6412, 196] WindowTitle->RHM WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$222749], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$223766], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/RHM", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 19.155566}", + "built" -> "{2020, 6, 20, 19, 10, 4.726541}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHO.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHO.nb index 106d37a87..7d5bde93a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHO.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHO.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7034, 212] +NotebookDataLength[ 7035, 212] NotebookOptionsPosition[ 4900, 154] -NotebookOutlinePosition[ 6827, 204] -CellTagsIndexPosition[ 6784, 201] +NotebookOutlinePosition[ 6828, 204] +CellTagsIndexPosition[ 6785, 201] WindowTitle->RHO WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$223197], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$224214], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/RHO", ".html"]], None}]}]}, @@ -167,7 +167,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 20.020575}", + "built" -> "{2020, 6, 20, 19, 10, 5.540453}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHP.nb index a04d7ccc0..20069a28b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RHP.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7102, 214] +NotebookDataLength[ 7103, 214] NotebookOptionsPosition[ 4966, 156] -NotebookOutlinePosition[ 6895, 206] -CellTagsIndexPosition[ 6852, 203] +NotebookOutlinePosition[ 6896, 206] +CellTagsIndexPosition[ 6853, 203] WindowTitle->RHP WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$223645], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$224662], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/RHP", ".html"]], None}]}]}, @@ -169,7 +169,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 21.063925}", + "built" -> "{2020, 6, 20, 19, 10, 6.327476}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RTL.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RTL.nb index 11595612a..f54ac298a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RTL.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RTL.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7119, 217] +NotebookDataLength[ 7120, 217] NotebookOptionsPosition[ 5062, 160] -NotebookOutlinePosition[ 6911, 209] -CellTagsIndexPosition[ 6868, 206] +NotebookOutlinePosition[ 6912, 209] +CellTagsIndexPosition[ 6869, 206] WindowTitle->RTL WindowFrame->Normal*) @@ -80,7 +80,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$224535], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$225552], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/RTL", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 23.125077}", + "built" -> "{2020, 6, 20, 19, 10, 8.534849}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ReduceGamma.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ReduceGamma.nb index 062655435..dd4530396 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ReduceGamma.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ReduceGamma.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6904, 208] +NotebookDataLength[ 6905, 208] NotebookOptionsPosition[ 4835, 151] -NotebookOutlinePosition[ 6697, 200] -CellTagsIndexPosition[ 6654, 197] +NotebookOutlinePosition[ 6698, 200] +CellTagsIndexPosition[ 6655, 197] WindowTitle->ReduceGamma WindowFrame->Normal*) @@ -79,7 +79,7 @@ ReduceGamma.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$220519], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$221536], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ReduceGamma", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 14.109009}", + "built" -> "{2020, 6, 20, 19, 10, 0.119567}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ReduceToScalars.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ReduceToScalars.nb index ddcbf1aac..22938b9ca 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ReduceToScalars.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ReduceToScalars.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7262, 217] +NotebookDataLength[ 7263, 217] NotebookOptionsPosition[ 5149, 159] -NotebookOutlinePosition[ 7054, 209] -CellTagsIndexPosition[ 7011, 206] +NotebookOutlinePosition[ 7055, 209] +CellTagsIndexPosition[ 7012, 206] WindowTitle->ReduceToScalars WindowFrame->Normal*) @@ -80,7 +80,7 @@ ReduceToScalars.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$220962], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$221979], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ReduceToScalars", ".html"]], None}]}]}, @@ -172,7 +172,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 15.154057}", + "built" -> "{2020, 6, 20, 19, 10, 0.917928}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Rename.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Rename.nb index 23fbc3fcd..605ff9554 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Rename.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Rename.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6804, 208] +NotebookDataLength[ 6805, 208] NotebookOptionsPosition[ 4789, 152] -NotebookOutlinePosition[ 6597, 200] -CellTagsIndexPosition[ 6554, 197] +NotebookOutlinePosition[ 6598, 200] +CellTagsIndexPosition[ 6555, 197] WindowTitle->Rename WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$221405], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$222422], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Rename", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 16.155323}", + "built" -> "{2020, 6, 20, 19, 10, 2.000818}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RightPartialD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RightPartialD.nb index 4de03425c..26cec832e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RightPartialD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RightPartialD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13515, 469] +NotebookDataLength[ 13516, 469] NotebookOptionsPosition[ 9162, 333] -NotebookOutlinePosition[ 12072, 416] -CellTagsIndexPosition[ 11955, 410] +NotebookOutlinePosition[ 12073, 416] +CellTagsIndexPosition[ 11956, 410] WindowTitle->RightPartialD WindowFrame->Normal*) @@ -83,7 +83,7 @@ RightPartialD.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$224089], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$225106], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/RightPartialD", ".html"]], None}]}]}, @@ -147,7 +147,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1777068154], + CellID->1844477344], Cell[CellGroupData[{ @@ -157,7 +157,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2097032936], + CellID->1653875352], Cell[CellGroupData[{ @@ -346,7 +346,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 22.076186}", + "built" -> "{2020, 6, 20, 19, 10, 7.435607}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -378,7 +378,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4626, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1777068154]}, + CellID->1844477344]}, "RightPartialD"->{ Cell[5260, 163, 140, 4, 27, "Input", CellTags->"RightPartialD", @@ -409,8 +409,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10970, 377}, - {"RightPartialD", 11111, 381} + {"PrimaryExamplesSection", 10971, 377}, + {"RightPartialD", 11112, 381} } *) (*NotebookFileOutline @@ -423,10 +423,10 @@ Cell[4114, 114, 487, 16, 88, "Usage", Cell[CellGroupData[{ Cell[4626, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1777068154], + CellID->1844477344], Cell[CellGroupData[{ Cell[5039, 153, 196, 6, 26, "ExampleSection", - CellID->2097032936], + CellID->1653875352], Cell[CellGroupData[{ Cell[5260, 163, 140, 4, 27, "Input", CellTags->"RightPartialD", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RussianTrick.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RussianTrick.nb index 9a52ce4bf..d2d2ab439 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/RussianTrick.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/RussianTrick.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23116, 807] +NotebookDataLength[ 23060, 806] NotebookOptionsPosition[ 18037, 652] -NotebookOutlinePosition[ 21293, 741] -CellTagsIndexPosition[ 21177, 735] +NotebookOutlinePosition[ 21237, 740] +CellTagsIndexPosition[ 21121, 734] WindowTitle->RussianTrick WindowFrame->Normal*) @@ -81,7 +81,7 @@ RussianTrick.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$224981], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$225998], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/RussianTrick", ".html"]], None}]}]}, @@ -158,7 +158,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1328140832], + CellID->1524449682], Cell["", "SectionHeaderSpacer"], @@ -184,7 +184,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1229599249], + CellID->1426620007], Cell[CellGroupData[{ @@ -194,7 +194,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1465108529], + CellID->1225349634], Cell[CellGroupData[{ @@ -375,7 +375,7 @@ Cell[BoxData[ FeynCalc`FCGV["q1"], D] - FeynCalc`Momentum[ FeynCalc`FCGV["q2"], D]]], Editable->False]}]}], TraditionalForm]], "Output", - ImageSize->{541, 41}, + ImageSize->{458, 41}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RussianTrick", @@ -652,8 +652,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"RussianTrick", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -665,7 +665,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 24.011940}", + "built" -> "{2020, 6, 20, 19, 10, 9.366550}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -687,8 +687,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -700,7 +699,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5672, 171, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1229599249]}, + CellID->1426620007]}, "RussianTrick"->{ Cell[6306, 200, 387, 13, 27, "Input", CellTags->"RussianTrick", @@ -734,8 +733,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 20098, 699}, - {"RussianTrick", 20238, 703} + {"PrimaryExamplesSection", 20042, 698}, + {"RussianTrick", 20182, 702} } *) (*NotebookFileOutline @@ -744,12 +743,12 @@ Cell[584, 21, 3135, 76, 53, "AnchorBarGrid", CellID->1], Cell[3722, 99, 289, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[4036, 114, 701, 18, 102, "Usage", +Cell[4036, 114, 701, 18, 118, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[4762, 136, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1328140832], + CellID->1524449682], Cell[5504, 162, 31, 0, 70, "SectionHeaderSpacer"], Cell[5538, 164, 85, 1, 70, "Notes", CellID->1067943069] @@ -758,10 +757,10 @@ Cell[5538, 164, 85, 1, 70, "Notes", Cell[CellGroupData[{ Cell[5672, 171, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1229599249], + CellID->1426620007], Cell[CellGroupData[{ Cell[6085, 190, 196, 6, 26, "ExampleSection", - CellID->1465108529], + CellID->1225349634], Cell[CellGroupData[{ Cell[6306, 200, 387, 13, 27, "Input", CellTags->"RussianTrick", @@ -808,7 +807,7 @@ Cell[17343, 620, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], Cell[17616, 634, 379, 13, 56, "SeeAlso"] }, Open ]], -Cell[18010, 650, 23, 0, 70, "FooterCell"] +Cell[18010, 650, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SD.nb index c422e9620..dea9d7708 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10605, 365] +NotebookDataLength[ 10550, 364] NotebookOptionsPosition[ 6985, 251] -NotebookOutlinePosition[ 9605, 326] -CellTagsIndexPosition[ 9501, 320] +NotebookOutlinePosition[ 9550, 325] +CellTagsIndexPosition[ 9446, 319] WindowTitle->SD WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$228084], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$229101], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SD", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1337573792], + CellID->2121737738], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->986174178], + CellID->160379696], Cell[CellGroupData[{ @@ -251,8 +251,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -264,7 +264,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 32.221597}", + "built" -> "{2020, 6, 20, 19, 10, 16.751779}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -285,8 +285,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -298,7 +297,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4415, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1337573792]}, + CellID->2121737738]}, "SD"->{ Cell[5048, 157, 138, 5, 27, "Input", CellTags->"SD", @@ -319,8 +318,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8922, 297}, - {"SD", 9052, 301} + {"PrimaryExamplesSection", 8867, 296}, + {"SD", 8997, 300} } *) (*NotebookFileOutline @@ -333,10 +332,10 @@ Cell[3851, 110, 539, 14, 102, "Usage", Cell[CellGroupData[{ Cell[4415, 128, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1337573792], + CellID->2121737738], Cell[CellGroupData[{ Cell[4828, 147, 195, 6, 26, "ExampleSection", - CellID->986174178], + CellID->160379696], Cell[CellGroupData[{ Cell[5048, 157, 138, 5, 27, "Input", CellTags->"SD", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SDF.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SDF.nb index 5c7860484..f1b9d5599 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SDF.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SDF.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9372, 319] -NotebookOptionsPosition[ 5800, 205] -NotebookOutlinePosition[ 8502, 283] -CellTagsIndexPosition[ 8398, 277] +NotebookDataLength[ 9315, 318] +NotebookOptionsPosition[ 5799, 205] +NotebookOutlinePosition[ 8446, 282] +CellTagsIndexPosition[ 8342, 276] WindowTitle->SDF WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$227648], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$228665], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SDF", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1513383795], + CellID->1010822417], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1555907635], + CellID->224419667], Cell[CellGroupData[{ @@ -218,7 +218,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 31.114272}", + "built" -> "{2020, 6, 20, 19, 10, 15.755210}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -239,8 +239,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -252,32 +251,32 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3695, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1513383795]}, + CellID->1010822417]}, "SD"->{ - Cell[4329, 136, 139, 5, 27, "Input", + Cell[4328, 136, 139, 5, 27, "Input", CellTags->"SD", CellID->476174335], - Cell[4471, 143, 324, 13, 38, "Output", + Cell[4470, 143, 324, 13, 38, "Output", CellTags->"SD", CellID->1696842737], - Cell[4832, 161, 148, 5, 27, "Input", + Cell[4831, 161, 148, 5, 27, "Input", CellTags->"SD", CellID->1096492812], - Cell[4983, 168, 323, 10, 51, "Output", + Cell[4982, 168, 323, 10, 51, "Output", CellTags->"SD", CellID->1791360550], - Cell[5343, 183, 147, 5, 27, "Input", + Cell[5342, 183, 147, 5, 27, "Input", CellTags->"SD", CellID->315527863], - Cell[5493, 190, 241, 8, 51, "Output", + Cell[5492, 190, 241, 8, 51, "Output", CellTags->"SD", CellID->344493145]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7750, 251}, - {"SD", 7880, 255} + {"PrimaryExamplesSection", 7694, 250}, + {"SD", 7824, 254} } *) (*NotebookFileOutline @@ -290,37 +289,37 @@ Cell[3127, 89, 543, 14, 102, "Usage", Cell[CellGroupData[{ Cell[3695, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1513383795], + CellID->1010822417], Cell[CellGroupData[{ -Cell[4108, 126, 196, 6, 26, "ExampleSection", - CellID->1555907635], +Cell[4108, 126, 195, 6, 26, "ExampleSection", + CellID->224419667], Cell[CellGroupData[{ -Cell[4329, 136, 139, 5, 27, "Input", +Cell[4328, 136, 139, 5, 27, "Input", CellTags->"SD", CellID->476174335], -Cell[4471, 143, 324, 13, 38, "Output", +Cell[4470, 143, 324, 13, 38, "Output", CellTags->"SD", CellID->1696842737] }, Open ]], Cell[CellGroupData[{ -Cell[4832, 161, 148, 5, 27, "Input", +Cell[4831, 161, 148, 5, 27, "Input", CellTags->"SD", CellID->1096492812], -Cell[4983, 168, 323, 10, 51, "Output", +Cell[4982, 168, 323, 10, 51, "Output", CellTags->"SD", CellID->1791360550] }, Open ]], Cell[CellGroupData[{ -Cell[5343, 183, 147, 5, 27, "Input", +Cell[5342, 183, 147, 5, 27, "Input", CellTags->"SD", CellID->315527863], -Cell[5493, 190, 241, 8, 51, "Output", +Cell[5492, 190, 241, 8, 51, "Output", CellTags->"SD", CellID->344493145] }, Open ]] }, Open ]] }, Open ]], -Cell[5773, 203, 23, 0, 41, "FooterCell"] +Cell[5772, 203, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SFAD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SFAD.nb index 48bb0824e..8c0b11948 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SFAD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SFAD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13794, 452] -NotebookOptionsPosition[ 9771, 337] -NotebookOutlinePosition[ 12494, 402] -CellTagsIndexPosition[ 12409, 397] +NotebookDataLength[ 13746, 451] +NotebookOptionsPosition[ 9774, 337] +NotebookOutlinePosition[ 12443, 401] +CellTagsIndexPosition[ 12358, 396] WindowTitle->SFAD WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$232030], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$233047], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SFAD", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->262819662], + CellID->1303315695], Cell["", "SectionHeaderSpacer"], @@ -196,7 +196,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->655036859], + CellID->1772093437], Cell[CellGroupData[{ @@ -206,7 +206,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->670386769], + CellID->1296581805], Cell[CellGroupData[{ @@ -337,8 +337,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SFAD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -350,7 +350,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 42.350679}", + "built" -> "{2020, 6, 20, 19, 10, 26.174451}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -378,8 +378,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -389,14 +388,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5927, 183, 387, 15, 31, "PrimaryExamplesSection", + Cell[5928, 183, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->655036859]} + CellID->1772093437]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12266, 390} + {"PrimaryExamplesSection", 12214, 389} } *) (*NotebookFileOutline @@ -408,52 +407,52 @@ Cell[CellGroupData[{ Cell[3142, 91, 1479, 35, 188, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4646, 130, 738, 24, 31, "NotesSection", +Cell[4646, 130, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->262819662], -Cell[5387, 156, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1303315695], +Cell[5388, 156, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5443, 160, 107, 3, 70, "Input", +Cell[5444, 160, 107, 3, 70, "Input", CellID->971493175], -Cell[5553, 165, 313, 11, 37, "Output", +Cell[5554, 165, 313, 11, 37, "Output", CellID->700586331] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5927, 183, 387, 15, 31, "PrimaryExamplesSection", +Cell[5928, 183, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->655036859], + CellID->1772093437], Cell[CellGroupData[{ -Cell[6339, 202, 195, 6, 26, "ExampleSection", - CellID->670386769], +Cell[6341, 202, 196, 6, 26, "ExampleSection", + CellID->1296581805], Cell[CellGroupData[{ -Cell[6559, 212, 223, 8, 27, "Input", +Cell[6562, 212, 223, 8, 27, "Input", CellID->175037123], -Cell[6785, 222, 454, 13, 61, "Output", +Cell[6788, 222, 454, 13, 61, "Output", CellID->488189443] }, Open ]], Cell[CellGroupData[{ -Cell[7276, 240, 298, 11, 27, "Input", +Cell[7279, 240, 298, 11, 27, "Input", CellID->395343369], -Cell[7577, 253, 455, 13, 61, "Output", +Cell[7580, 253, 455, 13, 61, "Output", CellID->1936993594] }, Open ]], Cell[CellGroupData[{ -Cell[8069, 271, 322, 12, 27, "Input", +Cell[8072, 271, 322, 12, 27, "Input", CellID->1163062305], -Cell[8394, 285, 446, 13, 61, "Output", +Cell[8397, 285, 446, 13, 61, "Output", CellID->1031711574] }, Open ]], Cell[CellGroupData[{ -Cell[8877, 303, 250, 9, 27, "Input", +Cell[8880, 303, 250, 9, 27, "Input", CellID->310482442], -Cell[9130, 314, 575, 16, 61, "Output", +Cell[9133, 314, 575, 16, 61, "Output", CellID->123443100] }, Open ]] }, Open ]] }, Open ]], -Cell[9744, 335, 23, 0, 41, "FooterCell"] +Cell[9747, 335, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SI.nb index bd11d30d5..1c6ea77a5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SI.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14186, 525] +NotebookDataLength[ 14189, 525] NotebookOptionsPosition[ 9634, 370] -NotebookOutlinePosition[ 12757, 465] -CellTagsIndexPosition[ 12651, 459] +NotebookOutlinePosition[ 12760, 465] +CellTagsIndexPosition[ 12654, 459] WindowTitle->SI WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$235119], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$236136], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SI", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->511663903], + CellID->1096509178], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1270634949], + CellID->403586808], Cell[CellGroupData[{ @@ -383,7 +383,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 50.065075}", + "built" -> "{2020, 6, 20, 19, 10, 33.183675}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -414,9 +414,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3719, 108, 387, 15, 31, "PrimaryExamplesSection", + Cell[3719, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->511663903]}, + CellID->1096509178]}, "GA"->{ Cell[4352, 137, 119, 4, 27, "Input", CellTags->"GA", @@ -458,8 +458,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11507, 415}, - {"GA", 11636, 419} + {"PrimaryExamplesSection", 11509, 415}, + {"GA", 11639, 419} } *) (*NotebookFileOutline @@ -470,12 +470,12 @@ Cell[2839, 76, 279, 11, 45, "ObjectNameGrid"], Cell[3121, 89, 573, 15, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3719, 108, 387, 15, 31, "PrimaryExamplesSection", +Cell[3719, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->511663903], + CellID->1096509178], Cell[CellGroupData[{ -Cell[4131, 127, 196, 6, 26, "ExampleSection", - CellID->1270634949], +Cell[4132, 127, 195, 6, 26, "ExampleSection", + CellID->403586808], Cell[CellGroupData[{ Cell[4352, 137, 119, 4, 27, "Input", CellTags->"GA", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SID.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SID.nb index 42011a709..c396a4563 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SID.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SID.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14025, 517] +NotebookDataLength[ 13970, 516] NotebookOptionsPosition[ 9407, 361] -NotebookOutlinePosition[ 12598, 457] -CellTagsIndexPosition[ 12492, 451] +NotebookOutlinePosition[ 12543, 456] +CellTagsIndexPosition[ 12437, 450] WindowTitle->SID WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$232467], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$233484], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SID", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1441824756], + CellID->1503854863], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1728690255], + CellID->1902788463], Cell[CellGroupData[{ @@ -361,8 +361,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SID", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -374,7 +374,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 43.429023}", + "built" -> "{2020, 6, 20, 19, 10, 27.173682}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -395,8 +395,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -408,7 +407,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3735, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1441824756]}, + CellID->1503854863]}, "GA"->{ Cell[4369, 137, 120, 4, 27, "Input", CellTags->"GA", @@ -450,8 +449,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11350, 407}, - {"GA", 11480, 411} + {"PrimaryExamplesSection", 11295, 406}, + {"GA", 11425, 410} } *) (*NotebookFileOutline @@ -464,10 +463,10 @@ Cell[3127, 89, 583, 15, 102, "Usage", Cell[CellGroupData[{ Cell[3735, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1441824756], + CellID->1503854863], Cell[CellGroupData[{ Cell[4148, 127, 196, 6, 26, "ExampleSection", - CellID->1728690255], + CellID->1902788463], Cell[CellGroupData[{ Cell[4369, 137, 120, 4, 27, "Input", CellTags->"GA", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SIE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SIE.nb index 1183c0114..75f962630 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SIE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SIE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14427, 532] -NotebookOptionsPosition[ 9804, 376] -NotebookOutlinePosition[ 13000, 472] -CellTagsIndexPosition[ 12894, 466] +NotebookDataLength[ 14374, 531] +NotebookOptionsPosition[ 9805, 376] +NotebookOutlinePosition[ 12946, 471] +CellTagsIndexPosition[ 12840, 465] WindowTitle->SIE WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$232905], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$233922], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SIE", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1850550997], + CellID->1337823221], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->918560624], + CellID->1379868343], Cell[CellGroupData[{ @@ -389,7 +389,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 44.537142}", + "built" -> "{2020, 6, 20, 19, 10, 28.184401}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -410,8 +410,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -423,50 +422,50 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3738, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1850550997]}, + CellID->1337823221]}, "GA"->{ - Cell[4371, 137, 120, 4, 27, "Input", + Cell[4372, 137, 120, 4, 27, "Input", CellTags->"GA", CellID->192317475], - Cell[4494, 143, 332, 13, 35, "Output", + Cell[4495, 143, 332, 13, 35, "Output", CellTags->"GA", CellID->538826974], - Cell[4863, 161, 233, 8, 27, "Input", + Cell[4864, 161, 233, 8, 27, "Input", CellTags->"GA", CellID->950175955], - Cell[5099, 171, 1007, 42, 35, "Output", + Cell[5100, 171, 1007, 42, 35, "Output", CellTags->"GA", CellID->992615645], - Cell[6143, 218, 190, 6, 27, "Input", + Cell[6144, 218, 190, 6, 27, "Input", CellTags->"GA", CellID->872281918], - Cell[6336, 226, 410, 14, 51, "Output", + Cell[6337, 226, 410, 14, 51, "Output", CellTags->"GA", CellID->100810708], - Cell[6783, 245, 183, 6, 27, "Input", + Cell[6784, 245, 183, 6, 27, "Input", CellTags->"GA", CellID->1064432869], - Cell[6969, 253, 952, 40, 35, "Output", + Cell[6970, 253, 952, 40, 35, "Output", CellTags->"GA", CellID->1727518160], - Cell[7958, 298, 223, 7, 27, "Input", + Cell[7959, 298, 223, 7, 27, "Input", CellTags->"GA", CellID->1945449635], - Cell[8184, 307, 372, 11, 51, "Output", + Cell[8185, 307, 372, 11, 51, "Output", CellTags->"GA", CellID->344931708], - Cell[8593, 323, 273, 9, 27, "Input", + Cell[8594, 323, 273, 9, 27, "Input", CellTags->"GA", CellID->1527316325], - Cell[8869, 334, 869, 35, 39, "Output", + Cell[8870, 334, 869, 35, 39, "Output", CellTags->"GA", CellID->334848625]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11751, 422}, - {"GA", 11881, 426} + {"PrimaryExamplesSection", 11697, 421}, + {"GA", 11827, 425} } *) (*NotebookFileOutline @@ -479,61 +478,61 @@ Cell[3127, 89, 586, 15, 102, "Usage", Cell[CellGroupData[{ Cell[3738, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1850550997], + CellID->1337823221], Cell[CellGroupData[{ -Cell[4151, 127, 195, 6, 26, "ExampleSection", - CellID->918560624], +Cell[4151, 127, 196, 6, 26, "ExampleSection", + CellID->1379868343], Cell[CellGroupData[{ -Cell[4371, 137, 120, 4, 27, "Input", +Cell[4372, 137, 120, 4, 27, "Input", CellTags->"GA", CellID->192317475], -Cell[4494, 143, 332, 13, 35, "Output", +Cell[4495, 143, 332, 13, 35, "Output", CellTags->"GA", CellID->538826974] }, Open ]], Cell[CellGroupData[{ -Cell[4863, 161, 233, 8, 27, "Input", +Cell[4864, 161, 233, 8, 27, "Input", CellTags->"GA", CellID->950175955], -Cell[5099, 171, 1007, 42, 35, "Output", +Cell[5100, 171, 1007, 42, 35, "Output", CellTags->"GA", CellID->992615645] }, Open ]], Cell[CellGroupData[{ -Cell[6143, 218, 190, 6, 27, "Input", +Cell[6144, 218, 190, 6, 27, "Input", CellTags->"GA", CellID->872281918], -Cell[6336, 226, 410, 14, 51, "Output", +Cell[6337, 226, 410, 14, 51, "Output", CellTags->"GA", CellID->100810708] }, Open ]], Cell[CellGroupData[{ -Cell[6783, 245, 183, 6, 27, "Input", +Cell[6784, 245, 183, 6, 27, "Input", CellTags->"GA", CellID->1064432869], -Cell[6969, 253, 952, 40, 35, "Output", +Cell[6970, 253, 952, 40, 35, "Output", CellTags->"GA", CellID->1727518160] }, Open ]], Cell[CellGroupData[{ -Cell[7958, 298, 223, 7, 27, "Input", +Cell[7959, 298, 223, 7, 27, "Input", CellTags->"GA", CellID->1945449635], -Cell[8184, 307, 372, 11, 51, "Output", +Cell[8185, 307, 372, 11, 51, "Output", CellTags->"GA", CellID->344931708] }, Open ]], Cell[CellGroupData[{ -Cell[8593, 323, 273, 9, 27, "Input", +Cell[8594, 323, 273, 9, 27, "Input", CellTags->"GA", CellID->1527316325], -Cell[8869, 334, 869, 35, 39, "Output", +Cell[8870, 334, 869, 35, 39, "Output", CellTags->"GA", CellID->334848625] }, Open ]] }, Open ]] }, Open ]], -Cell[9777, 374, 23, 0, 70, "FooterCell"] +Cell[9778, 374, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SIS.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SIS.nb index cff21b594..01dd473fe 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SIS.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SIS.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12964, 469] -NotebookOptionsPosition[ 8751, 328] -NotebookOutlinePosition[ 11717, 417] -CellTagsIndexPosition[ 11611, 411] +NotebookDataLength[ 12968, 469] +NotebookOptionsPosition[ 8752, 328] +NotebookOutlinePosition[ 11720, 417] +CellTagsIndexPosition[ 11614, 411] WindowTitle->SIS WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$237305], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$238322], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SIS", ".html"]], None}]}]}, @@ -123,7 +123,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1726614346], + CellID->2028661303], Cell[CellGroupData[{ @@ -133,7 +133,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->280692986], + CellID->2044996756], Cell[CellGroupData[{ @@ -341,7 +341,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 55.736220}", + "built" -> "{2020, 6, 20, 19, 10, 38.087790}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -374,44 +374,44 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3771, 110, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1726614346]}, + CellID->2028661303]}, "GS"->{ - Cell[4404, 139, 117, 4, 27, "Input", + Cell[4405, 139, 117, 4, 27, "Input", CellTags->"GS", CellID->1176675883], - Cell[4524, 145, 366, 14, 37, "Output", + Cell[4525, 145, 366, 14, 37, "Output", CellTags->"GS", CellID->1637918358], - Cell[4927, 164, 182, 7, 27, "Input", + Cell[4928, 164, 182, 7, 27, "Input", CellTags->"GS", CellID->1027241244], - Cell[5112, 173, 262, 8, 51, "Output", + Cell[5113, 173, 262, 8, 51, "Output", CellTags->"GS", CellID->1001021899], - Cell[5411, 186, 160, 5, 27, "Input", + Cell[5412, 186, 160, 5, 27, "Input", CellTags->"GS", CellID->1339265647], - Cell[5574, 193, 1220, 48, 37, "Output", + Cell[5575, 193, 1220, 48, 37, "Output", CellTags->"GS", CellID->2121924726], - Cell[6831, 246, 198, 7, 27, "Input", + Cell[6832, 246, 198, 7, 27, "Input", CellTags->"GS", CellID->837744205], - Cell[7032, 255, 353, 11, 51, "Output", + Cell[7033, 255, 353, 11, 51, "Output", CellTags->"GS", CellID->1909118460], - Cell[7422, 271, 259, 9, 27, "Input", + Cell[7423, 271, 259, 9, 27, "Input", CellTags->"GS", CellID->2143558790], - Cell[7684, 282, 1001, 39, 37, "Output", + Cell[7685, 282, 1001, 39, 37, "Output", CellTags->"GS", CellID->1395211320]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10627, 373}, - {"GS", 10757, 377} + {"PrimaryExamplesSection", 10630, 373}, + {"GS", 10760, 377} } *) (*NotebookFileOutline @@ -424,53 +424,53 @@ Cell[3127, 89, 619, 17, 105, "Usage", Cell[CellGroupData[{ Cell[3771, 110, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1726614346], + CellID->2028661303], Cell[CellGroupData[{ -Cell[4184, 129, 195, 6, 26, "ExampleSection", - CellID->280692986], +Cell[4184, 129, 196, 6, 26, "ExampleSection", + CellID->2044996756], Cell[CellGroupData[{ -Cell[4404, 139, 117, 4, 27, "Input", +Cell[4405, 139, 117, 4, 27, "Input", CellTags->"GS", CellID->1176675883], -Cell[4524, 145, 366, 14, 37, "Output", +Cell[4525, 145, 366, 14, 37, "Output", CellTags->"GS", CellID->1637918358] }, Open ]], Cell[CellGroupData[{ -Cell[4927, 164, 182, 7, 27, "Input", +Cell[4928, 164, 182, 7, 27, "Input", CellTags->"GS", CellID->1027241244], -Cell[5112, 173, 262, 8, 51, "Output", +Cell[5113, 173, 262, 8, 51, "Output", CellTags->"GS", CellID->1001021899] }, Open ]], Cell[CellGroupData[{ -Cell[5411, 186, 160, 5, 27, "Input", +Cell[5412, 186, 160, 5, 27, "Input", CellTags->"GS", CellID->1339265647], -Cell[5574, 193, 1220, 48, 37, "Output", +Cell[5575, 193, 1220, 48, 37, "Output", CellTags->"GS", CellID->2121924726] }, Open ]], Cell[CellGroupData[{ -Cell[6831, 246, 198, 7, 27, "Input", +Cell[6832, 246, 198, 7, 27, "Input", CellTags->"GS", CellID->837744205], -Cell[7032, 255, 353, 11, 51, "Output", +Cell[7033, 255, 353, 11, 51, "Output", CellTags->"GS", CellID->1909118460] }, Open ]], Cell[CellGroupData[{ -Cell[7422, 271, 259, 9, 27, "Input", +Cell[7423, 271, 259, 9, 27, "Input", CellTags->"GS", CellID->2143558790], -Cell[7684, 282, 1001, 39, 37, "Output", +Cell[7685, 282, 1001, 39, 37, "Output", CellTags->"GS", CellID->1395211320] }, Open ]] }, Open ]] }, Open ]], -Cell[8724, 326, 23, 0, 41, "FooterCell"] +Cell[8725, 326, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SISD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SISD.nb index 015671725..911dd01e2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SISD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SISD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12681, 458] -NotebookOptionsPosition[ 8403, 316] -NotebookOutlinePosition[ 11437, 406] -CellTagsIndexPosition[ 11331, 400] +NotebookDataLength[ 12624, 457] +NotebookOptionsPosition[ 8402, 316] +NotebookOutlinePosition[ 11381, 405] +CellTagsIndexPosition[ 11275, 399] WindowTitle->SISD WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$236432], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$237449], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SISD", ".html"]], None}]}]}, @@ -123,7 +123,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->775255644], + CellID->130210083], Cell[CellGroupData[{ @@ -133,7 +133,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1442595079], + CellID->270761384], Cell[CellGroupData[{ @@ -317,7 +317,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SISD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -329,7 +329,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 53.407258}", + "built" -> "{2020, 6, 20, 19, 10, 36.089572}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -350,8 +350,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -363,44 +362,44 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3773, 110, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->775255644]}, + CellID->130210083]}, "GS"->{ - Cell[4406, 139, 118, 4, 27, "Input", + Cell[4405, 139, 118, 4, 27, "Input", CellTags->"GS", CellID->1176675883], - Cell[4527, 145, 315, 12, 37, "Output", + Cell[4526, 145, 315, 12, 37, "Output", CellTags->"GS", CellID->1971313389], - Cell[4879, 162, 183, 7, 27, "Input", + Cell[4878, 162, 183, 7, 27, "Input", CellTags->"GS", CellID->1027241244], - Cell[5065, 171, 355, 12, 51, "Output", + Cell[5064, 171, 355, 12, 51, "Output", CellTags->"GS", CellID->1525716750], - Cell[5457, 188, 161, 5, 27, "Input", + Cell[5456, 188, 161, 5, 27, "Input", CellTags->"GS", CellID->1339265647], - Cell[5621, 195, 991, 40, 37, "Output", + Cell[5620, 195, 991, 40, 37, "Output", CellTags->"GS", CellID->274123798], - Cell[6649, 240, 199, 7, 27, "Input", + Cell[6648, 240, 199, 7, 27, "Input", CellTags->"GS", CellID->837744205], - Cell[6851, 249, 357, 11, 51, "Output", + Cell[6850, 249, 357, 11, 51, "Output", CellTags->"GS", CellID->1426173981], - Cell[7245, 265, 262, 9, 27, "Input", + Cell[7244, 265, 262, 9, 27, "Input", CellTags->"GS", CellID->2143558790], - Cell[7510, 276, 827, 33, 37, "Output", + Cell[7509, 276, 827, 33, 37, "Output", CellTags->"GS", CellID->218984313]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10351, 362}, - {"GS", 10480, 366} + {"PrimaryExamplesSection", 10295, 361}, + {"GS", 10424, 365} } *) (*NotebookFileOutline @@ -413,53 +412,53 @@ Cell[3120, 89, 628, 17, 105, "Usage", Cell[CellGroupData[{ Cell[3773, 110, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->775255644], + CellID->130210083], Cell[CellGroupData[{ -Cell[4185, 129, 196, 6, 26, "ExampleSection", - CellID->1442595079], +Cell[4185, 129, 195, 6, 26, "ExampleSection", + CellID->270761384], Cell[CellGroupData[{ -Cell[4406, 139, 118, 4, 27, "Input", +Cell[4405, 139, 118, 4, 27, "Input", CellTags->"GS", CellID->1176675883], -Cell[4527, 145, 315, 12, 37, "Output", +Cell[4526, 145, 315, 12, 37, "Output", CellTags->"GS", CellID->1971313389] }, Open ]], Cell[CellGroupData[{ -Cell[4879, 162, 183, 7, 27, "Input", +Cell[4878, 162, 183, 7, 27, "Input", CellTags->"GS", CellID->1027241244], -Cell[5065, 171, 355, 12, 51, "Output", +Cell[5064, 171, 355, 12, 51, "Output", CellTags->"GS", CellID->1525716750] }, Open ]], Cell[CellGroupData[{ -Cell[5457, 188, 161, 5, 27, "Input", +Cell[5456, 188, 161, 5, 27, "Input", CellTags->"GS", CellID->1339265647], -Cell[5621, 195, 991, 40, 37, "Output", +Cell[5620, 195, 991, 40, 37, "Output", CellTags->"GS", CellID->274123798] }, Open ]], Cell[CellGroupData[{ -Cell[6649, 240, 199, 7, 27, "Input", +Cell[6648, 240, 199, 7, 27, "Input", CellTags->"GS", CellID->837744205], -Cell[6851, 249, 357, 11, 51, "Output", +Cell[6850, 249, 357, 11, 51, "Output", CellTags->"GS", CellID->1426173981] }, Open ]], Cell[CellGroupData[{ -Cell[7245, 265, 262, 9, 27, "Input", +Cell[7244, 265, 262, 9, 27, "Input", CellTags->"GS", CellID->2143558790], -Cell[7510, 276, 827, 33, 37, "Output", +Cell[7509, 276, 827, 33, 37, "Output", CellTags->"GS", CellID->218984313] }, Open ]] }, Open ]] }, Open ]], -Cell[8376, 314, 23, 0, 41, "FooterCell"] +Cell[8375, 314, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SISE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SISE.nb index 912f319d1..be4218a56 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SISE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SISE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11474, 406] +NotebookDataLength[ 11476, 406] NotebookOptionsPosition[ 7603, 279] -NotebookOutlinePosition[ 10417, 362] -CellTagsIndexPosition[ 10313, 356] +NotebookOutlinePosition[ 10419, 362] +CellTagsIndexPosition[ 10315, 356] WindowTitle->SISE WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$236869], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$237886], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SISE", ".html"]], None}]}]}, @@ -123,7 +123,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1123870704], + CellID->1781542583], Cell[CellGroupData[{ @@ -133,7 +133,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->996763060], + CellID->425164364], Cell[CellGroupData[{ @@ -279,8 +279,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SISE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -292,7 +292,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 54.444016}", + "built" -> "{2020, 6, 20, 19, 10, 37.089565}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -325,7 +325,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3777, 110, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1123870704]}, + CellID->1781542583]}, "GS"->{ Cell[4410, 139, 118, 4, 27, "Input", CellTags->"GS", @@ -355,8 +355,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9498, 324}, - {"GS", 9628, 328} + {"PrimaryExamplesSection", 9500, 324}, + {"GS", 9630, 328} } *) (*NotebookFileOutline @@ -369,10 +369,10 @@ Cell[3120, 89, 632, 17, 105, "Usage", Cell[CellGroupData[{ Cell[3777, 110, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1123870704], + CellID->1781542583], Cell[CellGroupData[{ Cell[4190, 129, 195, 6, 26, "ExampleSection", - CellID->996763060], + CellID->425164364], Cell[CellGroupData[{ Cell[4410, 139, 118, 4, 27, "Input", CellTags->"GS", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMP.nb index 748ecb6cc..1166bea45 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMP.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 34365, 1060] -NotebookOptionsPosition[ 30448, 937] -NotebookOutlinePosition[ 32669, 1000] -CellTagsIndexPosition[ 32562, 994] +NotebookDataLength[ 34310, 1059] +NotebookOptionsPosition[ 30447, 937] +NotebookOutlinePosition[ 32615, 999] +CellTagsIndexPosition[ 32508, 993] WindowTitle->SMP WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$239523], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$240540], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SMP", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->398927661], + CellID->97084679], Cell["", "SectionHeaderSpacer"], @@ -200,7 +200,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1092749213], + CellID->918213933], Cell[CellGroupData[{ @@ -210,7 +210,7 @@ Cell[TextData[{ Cell["(3)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->902623796], + CellID->1386316916], Cell[TextData[{ "Electron mass ", @@ -938,7 +938,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SMP", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -950,7 +950,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 0.483584}", + "built" -> "{2020, 6, 20, 19, 10, 42.929759}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -969,8 +969,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -980,21 +979,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5832, 187, 388, 15, 31, "PrimaryExamplesSection", + Cell[5831, 187, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1092749213]}, + CellID->918213933]}, "SMP"->{ - Cell[6574, 222, 127, 4, 29, "Input", + Cell[6573, 222, 127, 4, 29, "Input", CellTags->"SMP", CellID->519370115], - Cell[6704, 228, 206, 7, 37, "Output", + Cell[6703, 228, 206, 7, 37, "Output", CellTags->"SMP"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 32264, 981}, - {"SMP", 32395, 985} + {"PrimaryExamplesSection", 32211, 980}, + {"SMP", 32341, 984} } *) (*NotebookFileOutline @@ -1006,62 +1005,62 @@ Cell[CellGroupData[{ Cell[3865, 112, 443, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4333, 129, 738, 24, 31, "NotesSection", +Cell[4333, 129, 737, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->398927661], -Cell[5074, 155, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5108, 157, 116, 3, 70, "Notes", + CellID->97084679], +Cell[5073, 155, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5107, 157, 116, 3, 70, "Notes", CellID->1067943069], -Cell[5227, 162, 414, 13, 70, "Notes"], -Cell[5644, 177, 139, 4, 70, "Notes"] +Cell[5226, 162, 414, 13, 70, "Notes"], +Cell[5643, 177, 139, 4, 70, "Notes"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5832, 187, 388, 15, 31, "PrimaryExamplesSection", +Cell[5831, 187, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1092749213], + CellID->918213933], Cell[CellGroupData[{ -Cell[6245, 206, 195, 6, 26, "ExampleSection", - CellID->902623796], -Cell[6443, 214, 106, 4, 32, "Notes"], +Cell[6243, 206, 196, 6, 26, "ExampleSection", + CellID->1386316916], +Cell[6442, 214, 106, 4, 32, "Notes"], Cell[CellGroupData[{ -Cell[6574, 222, 127, 4, 29, "Input", +Cell[6573, 222, 127, 4, 29, "Input", CellTags->"SMP", CellID->519370115], -Cell[6704, 228, 206, 7, 37, "Output", +Cell[6703, 228, 206, 7, 37, "Output", CellTags->"SMP"] }, Open ]], Cell[CellGroupData[{ -Cell[6947, 240, 105, 2, 9, "ExampleDelimiter"], -Cell[7055, 244, 115, 4, 32, "Notes"], +Cell[6946, 240, 105, 2, 9, "ExampleDelimiter"], +Cell[7054, 244, 115, 4, 32, "Notes"], Cell[CellGroupData[{ -Cell[7195, 252, 127, 4, 46, "Input"], -Cell[7325, 258, 188, 6, 37, "Output"] +Cell[7194, 252, 127, 4, 46, "Input"], +Cell[7324, 258, 188, 6, 37, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[7562, 270, 105, 2, 9, "ExampleDelimiter"], -Cell[7670, 274, 160, 7, 32, "Notes"], +Cell[7561, 270, 105, 2, 9, "ExampleDelimiter"], +Cell[7669, 274, 160, 7, 32, "Notes"], Cell[CellGroupData[{ -Cell[7855, 285, 94, 3, 27, "Input", +Cell[7854, 285, 94, 3, 27, "Input", CellID->947204407], -Cell[7952, 290, 13517, 407, 3311, "Output"] +Cell[7951, 290, 13517, 407, 3311, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[21506, 702, 148, 5, 27, "Input", +Cell[21505, 702, 148, 5, 27, "Input", CellID->307037125], -Cell[21657, 709, 8197, 195, 320, "Output"] +Cell[21656, 709, 8197, 195, 320, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[29893, 909, 31, 0, 29, "SectionFooterSpacer"] +Cell[29892, 909, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[29961, 914, 270, 12, 31, "SeeAlsoSection", +Cell[29960, 914, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[30234, 928, 172, 4, 56, "SeeAlso"] +Cell[30233, 928, 172, 4, 56, "SeeAlso"] }, Open ]], -Cell[30421, 935, 23, 0, 41, "FooterCell"] +Cell[30420, 935, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMPToSymbol.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMPToSymbol.nb index 2bcf16b14..103e501e1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMPToSymbol.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMPToSymbol.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11952, 404] -NotebookOptionsPosition[ 8429, 300] -NotebookOutlinePosition[ 10742, 359] -CellTagsIndexPosition[ 10657, 354] +NotebookDataLength[ 11957, 404] +NotebookOptionsPosition[ 8430, 300] +NotebookOutlinePosition[ 10746, 359] +CellTagsIndexPosition[ 10661, 354] WindowTitle->SMPToSymbol WindowFrame->Normal*) @@ -79,7 +79,7 @@ SMPToSymbol.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$239961], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$240978], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SMPToSymbol", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1882068752], + CellID->1525143809], Cell["", "SectionHeaderSpacer"], @@ -201,7 +201,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->348954702], + CellID->457426999], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->646201416], + CellID->1958806037], Cell[CellGroupData[{ @@ -300,8 +300,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SMPToSymbol", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -313,7 +313,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 1.653284}", + "built" -> "{2020, 6, 20, 19, 10, 44.095218}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -348,12 +348,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6062, 188, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->348954702]} + CellID->457426999]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10514, 347} + {"PrimaryExamplesSection", 10518, 347} } *) (*NotebookFileOutline @@ -362,15 +362,15 @@ Cell[583, 21, 3005, 74, 53, "AnchorBarGrid", CellID->1], Cell[3591, 97, 288, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[3904, 112, 678, 15, 135, "Usage", +Cell[3904, 112, 678, 15, 136, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[4607, 131, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1882068752], -Cell[5349, 157, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1525143809], +Cell[5349, 157, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5405, 161, 114, 3, 70, "Input", +Cell[5405, 161, 114, 3, 27, "Input", CellID->1067943069], Cell[5522, 166, 479, 15, 37, "Output", CellID->602000371] @@ -380,32 +380,32 @@ Cell[5522, 166, 479, 15, 37, "Output", Cell[CellGroupData[{ Cell[6062, 188, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->348954702], + CellID->457426999], Cell[CellGroupData[{ -Cell[6474, 207, 195, 6, 26, "ExampleSection", - CellID->646201416], +Cell[6474, 207, 196, 6, 26, "ExampleSection", + CellID->1958806037], Cell[CellGroupData[{ -Cell[6694, 217, 185, 6, 29, "Input", +Cell[6695, 217, 185, 6, 29, "Input", CellID->512390421], -Cell[6882, 225, 409, 16, 40, "Output", +Cell[6883, 225, 409, 16, 40, "Output", CellID->320685510] }, Open ]], Cell[CellGroupData[{ -Cell[7328, 246, 108, 3, 27, "Input", +Cell[7329, 246, 108, 3, 27, "Input", CellID->1934684273], -Cell[7439, 251, 402, 16, 39, "Output", +Cell[7440, 251, 402, 16, 39, "Output", CellID->924611777] }, Open ]] }, Open ]], -Cell[7868, 271, 31, 0, 29, "SectionFooterSpacer"] +Cell[7869, 271, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7936, 276, 270, 12, 31, "SeeAlsoSection", +Cell[7937, 276, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8209, 290, 178, 5, 56, "SeeAlso", +Cell[8210, 290, 178, 5, 56, "SeeAlso", CellID->1062507596] }, Open ]], -Cell[8402, 298, 23, 0, 41, "FooterCell"] +Cell[8403, 298, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMVertex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMVertex.nb index a5d8e38f5..71407403e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMVertex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SMVertex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14554, 513] -NotebookOptionsPosition[ 10890, 401] -NotebookOutlinePosition[ 13197, 465] -CellTagsIndexPosition[ 13085, 459] +NotebookDataLength[ 14497, 512] +NotebookOptionsPosition[ 10889, 401] +NotebookOutlinePosition[ 13141, 464] +CellTagsIndexPosition[ 13029, 458] WindowTitle->SMVertex WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$240402], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$241419], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SMVertex", ".html"]], None}]}]}, @@ -149,7 +149,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->523475446], + CellID->146878900], Cell["", "SectionHeaderSpacer"], @@ -191,7 +191,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->766392537], + CellID->25357848], Cell[CellGroupData[{ @@ -201,7 +201,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1266283360], + CellID->1851885498], Cell["This is the photon-W-W vertex (all momenta ingoing)", "Notes"], @@ -401,8 +401,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SMVertex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -414,7 +414,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 2.767169}", + "built" -> "{2020, 6, 20, 19, 10, 45.208298}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -434,8 +434,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -445,21 +444,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5560, 178, 387, 15, 31, "PrimaryExamplesSection", + Cell[5560, 178, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->766392537]}, + CellID->25357848]}, "SMVertex"->{ - Cell[6264, 209, 241, 7, 27, "Input", + Cell[6263, 209, 241, 7, 27, "Input", CellTags->"SMVertex", CellID->1911879451], - Cell[6508, 218, 2508, 97, 40, "Output", + Cell[6507, 218, 2508, 97, 40, "Output", CellTags->"SMVertex"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12770, 446}, - {"SMVertex", 12905, 450} + {"PrimaryExamplesSection", 12715, 445}, + {"SMVertex", 12849, 449} } *) (*NotebookFileOutline @@ -473,48 +472,48 @@ Cell[3885, 112, 400, 11, 85, "Usage", Cell[CellGroupData[{ Cell[4310, 127, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->523475446], -Cell[5051, 153, 31, 0, 70, "SectionHeaderSpacer"], + CellID->146878900], +Cell[5051, 153, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5107, 157, 91, 2, 70, "Input"], +Cell[5107, 157, 91, 2, 27, "Input"], Cell[5201, 161, 298, 10, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5560, 178, 387, 15, 31, "PrimaryExamplesSection", +Cell[5560, 178, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->766392537], + CellID->25357848], Cell[CellGroupData[{ -Cell[5972, 197, 196, 6, 26, "ExampleSection", - CellID->1266283360], -Cell[6171, 205, 68, 0, 32, "Notes"], +Cell[5971, 197, 196, 6, 26, "ExampleSection", + CellID->1851885498], +Cell[6170, 205, 68, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[6264, 209, 241, 7, 27, "Input", +Cell[6263, 209, 241, 7, 27, "Input", CellTags->"SMVertex", CellID->1911879451], -Cell[6508, 218, 2508, 97, 40, "Output", +Cell[6507, 218, 2508, 97, 40, "Output", CellTags->"SMVertex"] }, Open ]], -Cell[9031, 318, 41, 0, 32, "Notes"], +Cell[9030, 318, 41, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[9097, 322, 94, 2, 27, "Input"], -Cell[9194, 326, 482, 16, 63, "Output"] +Cell[9096, 322, 94, 2, 27, "Input"], +Cell[9193, 326, 482, 16, 63, "Output"] }, Open ]], -Cell[9691, 345, 48, 0, 32, "Notes"], +Cell[9690, 345, 48, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[9764, 349, 94, 2, 27, "Input"], -Cell[9861, 353, 462, 16, 58, "Output"] +Cell[9763, 349, 94, 2, 27, "Input"], +Cell[9860, 353, 462, 16, 58, "Output"] }, Open ]] }, Open ]], -Cell[10350, 373, 31, 0, 29, "SectionFooterSpacer"] +Cell[10349, 373, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10418, 378, 270, 12, 31, "SeeAlsoSection", +Cell[10417, 378, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10691, 392, 157, 4, 70, "SeeAlso"] +Cell[10690, 392, 157, 4, 56, "SeeAlso"] }, Open ]], -Cell[10863, 399, 23, 0, 70, "FooterCell"] +Cell[10862, 399, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SO.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SO.nb index 917586283..a0f93571d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SO.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SO.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11674, 406] +NotebookDataLength[ 11678, 406] NotebookOptionsPosition[ 8163, 294] -NotebookOutlinePosition[ 10672, 367] -CellTagsIndexPosition[ 10567, 361] +NotebookOutlinePosition[ 10676, 367] +CellTagsIndexPosition[ 10571, 361] WindowTitle->SO WindowFrame->Normal*) @@ -86,7 +86,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$242593], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$243610], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SO", ".html"]], None}]}]}, @@ -147,7 +147,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->813827590], + CellID->1313578317], Cell[CellGroupData[{ @@ -157,7 +157,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1283657613], + CellID->282157618], Cell[CellGroupData[{ @@ -307,7 +307,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 8.029871}", + "built" -> "{2020, 6, 20, 19, 10, 50.110560}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -337,9 +337,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4689, 134, 387, 15, 31, "PrimaryExamplesSection", + Cell[4689, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->813827590]}, + CellID->1313578317]}, "SO"->{ Cell[5322, 163, 115, 4, 27, "Input", CellTags->"SO", @@ -360,8 +360,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9989, 338}, - {"SO", 10118, 342} + {"PrimaryExamplesSection", 9992, 338}, + {"SO", 10122, 342} } *) (*NotebookFileOutline @@ -372,12 +372,12 @@ Cell[3919, 104, 279, 11, 45, "ObjectNameGrid"], Cell[4201, 117, 463, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4689, 134, 387, 15, 31, "PrimaryExamplesSection", +Cell[4689, 134, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->813827590], + CellID->1313578317], Cell[CellGroupData[{ -Cell[5101, 153, 196, 6, 26, "ExampleSection", - CellID->1283657613], +Cell[5102, 153, 195, 6, 26, "ExampleSection", + CellID->282157618], Cell[CellGroupData[{ Cell[5322, 163, 115, 4, 27, "Input", CellTags->"SO", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SOD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SOD.nb index 23d3c833a..6f95a6fe2 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SOD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SOD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11601, 401] -NotebookOptionsPosition[ 8001, 288] -NotebookOutlinePosition[ 10592, 362] -CellTagsIndexPosition[ 10486, 356] +NotebookDataLength[ 11546, 400] +NotebookOptionsPosition[ 8002, 288] +NotebookOutlinePosition[ 10536, 361] +CellTagsIndexPosition[ 10431, 355] WindowTitle->SOD WindowFrame->Normal*) @@ -84,7 +84,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$241283], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$242300], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SOD", ".html"]], None}]}]}, @@ -145,7 +145,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->786295109], + CellID->1450194595], Cell[CellGroupData[{ @@ -155,7 +155,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1421429396], + CellID->1797451285], Cell[CellGroupData[{ @@ -289,7 +289,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"SOD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -301,7 +301,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 4.666565}", + "built" -> "{2020, 6, 20, 19, 10, 47.103351}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -321,8 +321,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -332,31 +331,31 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4612, 132, 387, 15, 31, "PrimaryExamplesSection", + Cell[4612, 132, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->786295109]}, + CellID->1450194595]}, "SOD"->{ - Cell[5245, 161, 117, 4, 27, "Input", + Cell[5246, 161, 117, 4, 27, "Input", CellTags->"SOD", CellID->950791209], - Cell[5365, 167, 350, 13, 37, "Output", + Cell[5366, 167, 350, 13, 37, "Output", CellTags->"SOD"], - Cell[5752, 185, 140, 5, 27, "Input", + Cell[5753, 185, 140, 5, 27, "Input", CellTags->"SOD", CellID->720250068], - Cell[5895, 192, 469, 18, 37, "Output", + Cell[5896, 192, 469, 18, 37, "Output", CellTags->"SOD"], - Cell[6401, 215, 182, 7, 27, "Input", + Cell[6402, 215, 182, 7, 27, "Input", CellTags->"SOD", CellID->737230779], - Cell[6586, 224, 353, 11, 51, "Output", + Cell[6587, 224, 353, 11, 51, "Output", CellTags->"SOD"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9900, 333}, - {"SOD", 10030, 337} + {"PrimaryExamplesSection", 9844, 332}, + {"SOD", 9975, 336} } *) (*NotebookFileOutline @@ -367,42 +366,42 @@ Cell[3826, 102, 280, 11, 45, "ObjectNameGrid"], Cell[4109, 115, 478, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4612, 132, 387, 15, 31, "PrimaryExamplesSection", +Cell[4612, 132, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->786295109], + CellID->1450194595], Cell[CellGroupData[{ -Cell[5024, 151, 196, 6, 26, "ExampleSection", - CellID->1421429396], +Cell[5025, 151, 196, 6, 26, "ExampleSection", + CellID->1797451285], Cell[CellGroupData[{ -Cell[5245, 161, 117, 4, 27, "Input", +Cell[5246, 161, 117, 4, 27, "Input", CellTags->"SOD", CellID->950791209], -Cell[5365, 167, 350, 13, 37, "Output", +Cell[5366, 167, 350, 13, 37, "Output", CellTags->"SOD"] }, Open ]], Cell[CellGroupData[{ -Cell[5752, 185, 140, 5, 27, "Input", +Cell[5753, 185, 140, 5, 27, "Input", CellTags->"SOD", CellID->720250068], -Cell[5895, 192, 469, 18, 37, "Output", +Cell[5896, 192, 469, 18, 37, "Output", CellTags->"SOD"] }, Open ]], Cell[CellGroupData[{ -Cell[6401, 215, 182, 7, 27, "Input", +Cell[6402, 215, 182, 7, 27, "Input", CellTags->"SOD", CellID->737230779], -Cell[6586, 224, 353, 11, 51, "Output", +Cell[6587, 224, 353, 11, 51, "Output", CellTags->"SOD"] }, Open ]] }, Open ]], -Cell[6966, 239, 31, 0, 29, "SectionFooterSpacer"] +Cell[6967, 239, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7034, 244, 270, 12, 31, "SeeAlsoSection", +Cell[7035, 244, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7307, 258, 652, 25, 56, "SeeAlso"] +Cell[7308, 258, 652, 25, 56, "SeeAlso"] }, Open ]], -Cell[7974, 286, 23, 0, 41, "FooterCell"] +Cell[7975, 286, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SP.nb index 60cce538a..1f00cefdb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SP.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16876, 632] +NotebookDataLength[ 16880, 632] NotebookOptionsPosition[ 12093, 472] -NotebookOutlinePosition[ 15203, 565] -CellTagsIndexPosition[ 15097, 559] +NotebookOutlinePosition[ 15207, 565] +CellTagsIndexPosition[ 15101, 559] WindowTitle->SP WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$250707], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$251732], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SP", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1487555505], + CellID->1237302150], Cell[CellGroupData[{ @@ -160,7 +160,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1513609754], + CellID->1815508469], Cell[CellGroupData[{ @@ -473,7 +473,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SP", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -485,7 +485,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 30.332486}", + "built" -> "{2020, 6, 20, 19, 11, 9.669803}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -517,7 +517,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4742, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1487555505]}, + CellID->1237302150]}, "SP"->{ Cell[5376, 166, 202, 7, 27, "Input", CellTags->"SP", @@ -549,7 +549,7 @@ CellTagsIndex->{ CellID->736982087], Cell[10353, 393, 295, 9, 51, "Output", CellTags->"SP"], - Cell[10685, 407, 234, 9, 70, "Input", + Cell[10685, 407, 234, 9, 27, "Input", CellTags->"SP", CellID->355867518], Cell[10922, 418, 220, 7, 51, "Output", @@ -558,8 +558,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13944, 516}, - {"SP", 14074, 520} + {"PrimaryExamplesSection", 13948, 516}, + {"SP", 14078, 520} } *) (*NotebookFileOutline @@ -572,10 +572,10 @@ Cell[4055, 113, 662, 20, 110, "Usage", Cell[CellGroupData[{ Cell[4742, 137, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1487555505], + CellID->1237302150], Cell[CellGroupData[{ Cell[5155, 156, 196, 6, 26, "ExampleSection", - CellID->1513609754], + CellID->1815508469], Cell[CellGroupData[{ Cell[5376, 166, 202, 7, 27, "Input", CellTags->"SP", @@ -619,21 +619,21 @@ Cell[10353, 393, 295, 9, 51, "Output", CellTags->"SP"] }, Open ]], Cell[CellGroupData[{ -Cell[10685, 407, 234, 9, 70, "Input", +Cell[10685, 407, 234, 9, 27, "Input", CellTags->"SP", CellID->355867518], Cell[10922, 418, 220, 7, 51, "Output", CellTags->"SP"] }, Open ]] }, Open ]], -Cell[11169, 429, 31, 0, 70, "SectionFooterSpacer"] +Cell[11169, 429, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11237, 434, 270, 12, 70, "SeeAlsoSection", +Cell[11237, 434, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11510, 448, 541, 19, 70, "SeeAlso"] +Cell[11510, 448, 541, 19, 56, "SeeAlso"] }, Open ]], -Cell[12066, 470, 23, 0, 70, "FooterCell"] +Cell[12066, 470, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPC.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPC.nb index 50dd36fc6..55a1ef1d3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPC.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPC.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6724, 206] +NotebookDataLength[ 6727, 206] NotebookOptionsPosition[ 4774, 151] -NotebookOutlinePosition[ 6517, 198] -CellTagsIndexPosition[ 6474, 195] +NotebookOutlinePosition[ 6520, 198] +CellTagsIndexPosition[ 6477, 195] WindowTitle->SPC WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$243038], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$244055], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SPC", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 9.173056}", + "built" -> "{2020, 6, 20, 19, 10, 51.099217}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPD.nb index f9bc7f9e7..17aa5cf05 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17708, 664] +NotebookDataLength[ 17654, 663] NotebookOptionsPosition[ 12505, 491] -NotebookOutlinePosition[ 15853, 590] -CellTagsIndexPosition[ 15746, 584] +NotebookOutlinePosition[ 15799, 589] +CellTagsIndexPosition[ 15692, 583] WindowTitle->SPD WindowFrame->Normal*) @@ -83,7 +83,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$243489], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$244506], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SPD", ".html"]], None}]}]}, @@ -152,7 +152,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->802463375], + CellID->1882813159], Cell[CellGroupData[{ @@ -162,7 +162,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1325491493], + CellID->262603847], Cell[CellGroupData[{ @@ -491,8 +491,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SPD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -504,7 +504,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 10.302587}", + "built" -> "{2020, 6, 20, 19, 10, 51.928691}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -524,8 +524,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -535,9 +534,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4828, 139, 387, 15, 31, "PrimaryExamplesSection", + Cell[4828, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->802463375]}, + CellID->1882813159]}, "SPD"->{ Cell[5461, 168, 205, 7, 27, "Input", CellTags->"SPD", @@ -583,8 +582,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14433, 536}, - {"SPD", 14563, 540} + {"PrimaryExamplesSection", 14378, 535}, + {"SPD", 14509, 539} } *) (*NotebookFileOutline @@ -595,12 +594,12 @@ Cell[3838, 101, 280, 11, 45, "ObjectNameGrid"], Cell[4121, 114, 682, 21, 110, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4828, 139, 387, 15, 31, "PrimaryExamplesSection", +Cell[4828, 139, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->802463375], + CellID->1882813159], Cell[CellGroupData[{ -Cell[5240, 158, 196, 6, 26, "ExampleSection", - CellID->1325491493], +Cell[5241, 158, 195, 6, 26, "ExampleSection", + CellID->262603847], Cell[CellGroupData[{ Cell[5461, 168, 205, 7, 27, "Input", CellTags->"SPD", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPE.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPE.nb index 8b34519d2..2488ebb90 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPE.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPE.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 18524, 690] -NotebookOptionsPosition[ 13299, 516] -NotebookOutlinePosition[ 16667, 616] -CellTagsIndexPosition[ 16560, 610] +NotebookDataLength[ 18467, 689] +NotebookOptionsPosition[ 13298, 516] +NotebookOutlinePosition[ 16611, 615] +CellTagsIndexPosition[ 16504, 609] WindowTitle->SPE WindowFrame->Normal*) @@ -85,7 +85,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$243941], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$244958], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SPE", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->406808914], + CellID->685744427], Cell[CellGroupData[{ @@ -161,7 +161,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1794536108], + CellID->959640077], Cell[CellGroupData[{ @@ -516,8 +516,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"SPE", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -529,7 +529,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 11.712542}", + "built" -> "{2020, 6, 20, 19, 10, 53.016761}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -550,8 +550,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -563,54 +562,54 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4900, 138, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->406808914]}, + CellID->685744427]}, "SPE"->{ - Cell[5533, 167, 205, 7, 27, "Input", + Cell[5532, 167, 205, 7, 27, "Input", CellTags->"SPE", CellID->1779475118], - Cell[5741, 176, 704, 30, 39, "Output", + Cell[5740, 176, 704, 30, 39, "Output", CellTags->"SPE"], - Cell[6482, 211, 208, 8, 27, "Input", + Cell[6481, 211, 208, 8, 27, "Input", CellTags->"SPE", CellID->437622958], - Cell[6693, 221, 947, 40, 37, "Output", + Cell[6692, 221, 947, 40, 37, "Output", CellTags->"SPE"], - Cell[7677, 266, 254, 9, 27, "Input", + Cell[7676, 266, 254, 9, 27, "Input", CellTags->"SPE", CellID->1031117972], - Cell[7934, 277, 817, 34, 39, "Output", + Cell[7933, 277, 817, 34, 39, "Output", CellTags->"SPE"], - Cell[8788, 316, 186, 6, 27, "Input", + Cell[8787, 316, 186, 6, 27, "Input", CellTags->"SPE", CellID->87993462], - Cell[8977, 324, 864, 35, 39, "Output", + Cell[8976, 324, 864, 35, 39, "Output", CellTags->"SPE"], - Cell[9878, 364, 177, 6, 27, "Input", + Cell[9877, 364, 177, 6, 27, "Input", CellTags->"SPE", CellID->2034315321], - Cell[10058, 372, 222, 7, 51, "Output", + Cell[10057, 372, 222, 7, 51, "Output", CellTags->"SPE"], - Cell[10317, 384, 208, 8, 27, "Input", + Cell[10316, 384, 208, 8, 27, "Input", CellTags->"SPE", CellID->1917897688], - Cell[10528, 394, 442, 15, 51, "Output", + Cell[10527, 394, 442, 15, 51, "Output", CellTags->"SPE"], - Cell[11007, 414, 236, 9, 27, "Input", + Cell[11006, 414, 236, 9, 27, "Input", CellTags->"SPE", CellID->980827421], - Cell[11246, 425, 222, 7, 51, "Output", + Cell[11245, 425, 222, 7, 51, "Output", CellTags->"SPE"], - Cell[11505, 437, 313, 11, 27, "Input", + Cell[11504, 437, 313, 11, 27, "Input", CellTags->"SPE", CellID->1873446419], - Cell[11821, 450, 222, 7, 51, "Output", + Cell[11820, 450, 222, 7, 51, "Output", CellTags->"SPE"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15245, 562}, - {"SPE", 15375, 566} + {"PrimaryExamplesSection", 15189, 561}, + {"SPE", 15319, 565} } *) (*NotebookFileOutline @@ -623,75 +622,75 @@ Cell[4215, 116, 660, 18, 102, "Usage", Cell[CellGroupData[{ Cell[4900, 138, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->406808914], + CellID->685744427], Cell[CellGroupData[{ -Cell[5312, 157, 196, 6, 26, "ExampleSection", - CellID->1794536108], +Cell[5312, 157, 195, 6, 26, "ExampleSection", + CellID->959640077], Cell[CellGroupData[{ -Cell[5533, 167, 205, 7, 27, "Input", +Cell[5532, 167, 205, 7, 27, "Input", CellTags->"SPE", CellID->1779475118], -Cell[5741, 176, 704, 30, 39, "Output", +Cell[5740, 176, 704, 30, 39, "Output", CellTags->"SPE"] }, Open ]], Cell[CellGroupData[{ -Cell[6482, 211, 208, 8, 27, "Input", +Cell[6481, 211, 208, 8, 27, "Input", CellTags->"SPE", CellID->437622958], -Cell[6693, 221, 947, 40, 37, "Output", +Cell[6692, 221, 947, 40, 37, "Output", CellTags->"SPE"] }, Open ]], Cell[CellGroupData[{ -Cell[7677, 266, 254, 9, 27, "Input", +Cell[7676, 266, 254, 9, 27, "Input", CellTags->"SPE", CellID->1031117972], -Cell[7934, 277, 817, 34, 39, "Output", +Cell[7933, 277, 817, 34, 39, "Output", CellTags->"SPE"] }, Open ]], Cell[CellGroupData[{ -Cell[8788, 316, 186, 6, 27, "Input", +Cell[8787, 316, 186, 6, 27, "Input", CellTags->"SPE", CellID->87993462], -Cell[8977, 324, 864, 35, 39, "Output", +Cell[8976, 324, 864, 35, 39, "Output", CellTags->"SPE"] }, Open ]], Cell[CellGroupData[{ -Cell[9878, 364, 177, 6, 27, "Input", +Cell[9877, 364, 177, 6, 27, "Input", CellTags->"SPE", CellID->2034315321], -Cell[10058, 372, 222, 7, 51, "Output", +Cell[10057, 372, 222, 7, 51, "Output", CellTags->"SPE"] }, Open ]], Cell[CellGroupData[{ -Cell[10317, 384, 208, 8, 27, "Input", +Cell[10316, 384, 208, 8, 27, "Input", CellTags->"SPE", CellID->1917897688], -Cell[10528, 394, 442, 15, 51, "Output", +Cell[10527, 394, 442, 15, 51, "Output", CellTags->"SPE"] }, Open ]], Cell[CellGroupData[{ -Cell[11007, 414, 236, 9, 27, "Input", +Cell[11006, 414, 236, 9, 27, "Input", CellTags->"SPE", CellID->980827421], -Cell[11246, 425, 222, 7, 51, "Output", +Cell[11245, 425, 222, 7, 51, "Output", CellTags->"SPE"] }, Open ]], Cell[CellGroupData[{ -Cell[11505, 437, 313, 11, 27, "Input", +Cell[11504, 437, 313, 11, 27, "Input", CellTags->"SPE", CellID->1873446419], -Cell[11821, 450, 222, 7, 51, "Output", +Cell[11820, 450, 222, 7, 51, "Output", CellTags->"SPE"] }, Open ]] }, Open ]], -Cell[12070, 461, 31, 0, 70, "SectionFooterSpacer"] +Cell[12069, 461, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12138, 466, 270, 12, 70, "SeeAlsoSection", +Cell[12137, 466, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12411, 480, 846, 31, 70, "SeeAlso"] +Cell[12410, 480, 846, 31, 56, "SeeAlso"] }, Open ]], -Cell[13272, 514, 23, 0, 70, "FooterCell"] +Cell[13271, 514, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPL.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPL.nb index 1d736d9a5..5b55712db 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPL.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SPL.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6697, 206] +NotebookDataLength[ 6698, 206] NotebookOptionsPosition[ 4750, 151] -NotebookOutlinePosition[ 6490, 198] -CellTagsIndexPosition[ 6447, 195] +NotebookOutlinePosition[ 6491, 198] +CellTagsIndexPosition[ 6448, 195] WindowTitle->SPL WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$250257], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$251282], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SPL", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 29.202269}", + "built" -> "{2020, 6, 20, 19, 11, 8.831726}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUND.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUND.nb index b75c0aea6..412a7909b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUND.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUND.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19316, 727] +NotebookDataLength[ 19314, 727] NotebookOptionsPosition[ 13614, 533] -NotebookOutlinePosition[ 17097, 639] -CellTagsIndexPosition[ 16989, 633] +NotebookOutlinePosition[ 17095, 639] +CellTagsIndexPosition[ 16987, 633] WindowTitle->SUND WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$255599], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$256624], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUND", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1033923088], + CellID->819872464], Cell[CellGroupData[{ @@ -160,7 +160,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->353083208], + CellID->1223937057], Cell[CellGroupData[{ @@ -533,8 +533,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"SUND", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -546,7 +546,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 43.651251}", + "built" -> "{2020, 6, 20, 19, 11, 21.209802}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -574,9 +574,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4619, 137, 388, 15, 31, "PrimaryExamplesSection", + Cell[4619, 137, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1033923088]}, + CellID->819872464]}, "SUND"->{ Cell[5252, 166, 153, 5, 27, "Input", CellTags->"SUND", @@ -608,22 +608,22 @@ CellTagsIndex->{ CellID->2028272220], Cell[9722, 361, 389, 14, 62, "Output", CellTags->"SUND"], - Cell[10148, 380, 395, 13, 27, "Input", + Cell[10148, 380, 395, 13, 70, "Input", CellTags->"SUND", CellID->1938547204], Cell[10546, 395, 561, 22, 62, "Output", CellTags->"SUND"], - Cell[11144, 422, 191, 7, 27, "Input", + Cell[11144, 422, 191, 7, 70, "Input", CellTags->"SUND", CellID->1197762042], Cell[11338, 431, 235, 7, 51, "Output", CellTags->"SUND"], - Cell[11610, 443, 220, 8, 27, "Input", + Cell[11610, 443, 220, 8, 70, "Input", CellTags->"SUND", CellID->1553275724], Cell[11833, 453, 343, 10, 51, "Output", CellTags->"SUND"], - Cell[12213, 468, 250, 9, 27, "Input", + Cell[12213, 468, 250, 9, 70, "Input", CellTags->"SUND", CellID->1610675678], Cell[12466, 479, 236, 7, 51, "Output", @@ -632,8 +632,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15355, 575}, - {"SUND", 15487, 579} + {"PrimaryExamplesSection", 15354, 575}, + {"SUND", 15485, 579} } *) (*NotebookFileOutline @@ -644,12 +644,12 @@ Cell[3743, 100, 281, 11, 45, "ObjectNameGrid"], Cell[4027, 113, 567, 20, 86, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4619, 137, 388, 15, 31, "PrimaryExamplesSection", +Cell[4619, 137, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1033923088], + CellID->819872464], Cell[CellGroupData[{ -Cell[5032, 156, 195, 6, 26, "ExampleSection", - CellID->353083208], +Cell[5031, 156, 196, 6, 26, "ExampleSection", + CellID->1223937057], Cell[CellGroupData[{ Cell[5252, 166, 153, 5, 27, "Input", CellTags->"SUND", @@ -693,42 +693,42 @@ Cell[9722, 361, 389, 14, 62, "Output", CellTags->"SUND"] }, Open ]], Cell[CellGroupData[{ -Cell[10148, 380, 395, 13, 27, "Input", +Cell[10148, 380, 395, 13, 70, "Input", CellTags->"SUND", CellID->1938547204], Cell[10546, 395, 561, 22, 62, "Output", CellTags->"SUND"] }, Open ]], Cell[CellGroupData[{ -Cell[11144, 422, 191, 7, 27, "Input", +Cell[11144, 422, 191, 7, 70, "Input", CellTags->"SUND", CellID->1197762042], Cell[11338, 431, 235, 7, 51, "Output", CellTags->"SUND"] }, Open ]], Cell[CellGroupData[{ -Cell[11610, 443, 220, 8, 27, "Input", +Cell[11610, 443, 220, 8, 70, "Input", CellTags->"SUND", CellID->1553275724], Cell[11833, 453, 343, 10, 51, "Output", CellTags->"SUND"] }, Open ]], Cell[CellGroupData[{ -Cell[12213, 468, 250, 9, 27, "Input", +Cell[12213, 468, 250, 9, 70, "Input", CellTags->"SUND", CellID->1610675678], Cell[12466, 479, 236, 7, 51, "Output", CellTags->"SUND"] }, Open ]] }, Open ]], -Cell[12729, 490, 31, 0, 29, "SectionFooterSpacer"] +Cell[12729, 490, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12797, 495, 270, 12, 31, "SeeAlsoSection", +Cell[12797, 495, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[13070, 509, 502, 19, 56, "SeeAlso"] +Cell[13070, 509, 502, 19, 70, "SeeAlso"] }, Open ]], -Cell[13587, 531, 23, 0, 41, "FooterCell"] +Cell[13587, 531, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNDelta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNDelta.nb index 38b1f85ac..4ec7b33f6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNDelta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNDelta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19623, 717] +NotebookDataLength[ 19568, 716] NotebookOptionsPosition[ 14016, 534] -NotebookOutlinePosition[ 17408, 633] -CellTagsIndexPosition[ 17296, 627] +NotebookOutlinePosition[ 17353, 632] +CellTagsIndexPosition[ 17241, 626] WindowTitle->SUNDelta WindowFrame->Normal*) @@ -88,7 +88,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$255145], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$256170], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNDelta", ".html"]], None}]}]}, @@ -149,7 +149,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1175478356], + CellID->2143300140], Cell[CellGroupData[{ @@ -159,7 +159,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1406820232], + CellID->1872895176], Cell[CellGroupData[{ @@ -534,8 +534,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SUNDelta", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -547,7 +547,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 42.435654}", + "built" -> "{2020, 6, 20, 19, 11, 20.080486}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -567,8 +567,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -580,7 +579,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4816, 136, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1175478356]}, + CellID->2143300140]}, "SUNDelta"->{ Cell[5450, 165, 222, 7, 27, "Input", CellTags->"SUNDelta", @@ -607,7 +606,7 @@ CellTagsIndex->{ CellID->892399657], Cell[9633, 352, 305, 9, 51, "Output", CellTags->"SUNDelta"], - Cell[10199, 373, 578, 18, 45, "Input", + Cell[10199, 373, 578, 18, 62, "Input", CellTags->"SUNDelta", CellID->69005829], Cell[10780, 393, 628, 27, 38, "Output", @@ -626,8 +625,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15897, 579}, - {"SUNDelta", 16033, 583} + {"PrimaryExamplesSection", 15842, 578}, + {"SUNDelta", 15978, 582} } *) (*NotebookFileOutline @@ -640,10 +639,10 @@ Cell[4331, 119, 460, 13, 85, "Usage", Cell[CellGroupData[{ Cell[4816, 136, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1175478356], + CellID->2143300140], Cell[CellGroupData[{ Cell[5229, 155, 196, 6, 26, "ExampleSection", - CellID->1406820232], + CellID->1872895176], Cell[CellGroupData[{ Cell[5450, 165, 222, 7, 27, "Input", CellTags->"SUNDelta", @@ -690,7 +689,7 @@ Cell[9633, 352, 305, 9, 51, "Output", Cell[9953, 364, 221, 5, 49, "Notes", CellID->879136127], Cell[CellGroupData[{ -Cell[10199, 373, 578, 18, 45, "Input", +Cell[10199, 373, 578, 18, 62, "Input", CellTags->"SUNDelta", CellID->69005829], Cell[10780, 393, 628, 27, 38, "Output", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNDeltaContract.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNDeltaContract.nb index 4b19cda15..3ac1abc0e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNDeltaContract.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNDeltaContract.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11065, 360] +NotebookDataLength[ 11009, 359] NotebookOptionsPosition[ 7988, 274] -NotebookOutlinePosition[ 10337, 334] -CellTagsIndexPosition[ 10252, 329] +NotebookOutlinePosition[ 10281, 333] +CellTagsIndexPosition[ 10196, 328] WindowTitle->SUNDeltaContract WindowFrame->Normal*) @@ -80,7 +80,7 @@ SUNDeltaContract.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$254699], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$255724], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNDeltaContract", ".html"]], None}]}]}, @@ -176,7 +176,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1517005805], + CellID->875557427], Cell[CellGroupData[{ @@ -186,7 +186,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->238416033], + CellID->1721441089], Cell[CellGroupData[{ @@ -274,8 +274,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SUNDeltaContract", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -287,7 +287,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 41.292880}", + "built" -> "{2020, 6, 20, 19, 11, 19.101051}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -310,8 +310,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -321,14 +320,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5613, 163, 388, 15, 31, "PrimaryExamplesSection", + Cell[5613, 163, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1517005805]} + CellID->875557427]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10108, 322} + {"PrimaryExamplesSection", 10053, 321} } *) (*NotebookFileOutline @@ -336,15 +335,15 @@ Notebook[{ Cell[588, 21, 3121, 75, 53, "AnchorBarGrid", CellID->1], Cell[3712, 98, 293, 11, 45, "ObjectNameGrid"], -Cell[4008, 111, 1580, 48, 165, "Usage", +Cell[4008, 111, 1580, 48, 181, "Usage", CellID->455417684], Cell[CellGroupData[{ -Cell[5613, 163, 388, 15, 31, "PrimaryExamplesSection", +Cell[5613, 163, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1517005805], + CellID->875557427], Cell[CellGroupData[{ -Cell[6026, 182, 195, 6, 26, "ExampleSection", - CellID->238416033], +Cell[6025, 182, 196, 6, 26, "ExampleSection", + CellID->1721441089], Cell[CellGroupData[{ Cell[6246, 192, 205, 6, 27, "Input"], Cell[6454, 200, 432, 17, 43, "Output"] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNF.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNF.nb index 634bc7273..72aa54665 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNF.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNF.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 26414, 1021] -NotebookOptionsPosition[ 19060, 768] -NotebookOutlinePosition[ 23247, 896] -CellTagsIndexPosition[ 23139, 890] +NotebookDataLength[ 26360, 1020] +NotebookOptionsPosition[ 19061, 768] +NotebookOutlinePosition[ 23192, 895] +CellTagsIndexPosition[ 23084, 889] WindowTitle->SUNF WindowFrame->Normal*) @@ -87,7 +87,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$257812], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$258837], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNF", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->585406414], + CellID->1565387647], Cell["", "SectionHeaderSpacer"], @@ -205,7 +205,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1846243533], + CellID->976006146], Cell[CellGroupData[{ @@ -215,7 +215,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->168350434], + CellID->1297586242], Cell[CellGroupData[{ @@ -781,7 +781,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 50.607291}", + "built" -> "{2020, 6, 20, 19, 11, 26.405035}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -800,8 +800,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -811,86 +810,86 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "SUNF"->{ - Cell[5648, 170, 126, 4, 70, "Input", + Cell[5649, 170, 126, 4, 70, "Input", CellTags->"SUNF", CellID->121887364], - Cell[5777, 176, 254, 9, 37, "Output", + Cell[5778, 176, 254, 9, 37, "Output", CellTags->"SUNF"], - Cell[6725, 221, 282, 10, 27, "Input", + Cell[6726, 221, 282, 10, 27, "Input", CellTags->"SUNF", CellID->1766434801], - Cell[7010, 233, 601, 25, 40, "Output", + Cell[7011, 233, 601, 25, 40, "Output", CellTags->"SUNF"], - Cell[7648, 263, 119, 4, 27, "Input", + Cell[7649, 263, 119, 4, 27, "Input", CellTags->"SUNF", CellID->139383085], - Cell[7770, 269, 853, 37, 40, "Output", + Cell[7771, 269, 853, 37, 40, "Output", CellTags->"SUNF"], - Cell[8660, 311, 127, 4, 27, "Input", + Cell[8661, 311, 127, 4, 27, "Input", CellTags->"SUNF", CellID->479451850], - Cell[8790, 317, 542, 23, 40, "Output", + Cell[8791, 317, 542, 23, 40, "Output", CellTags->"SUNF"], - Cell[9369, 345, 153, 5, 27, "Input", + Cell[9370, 345, 153, 5, 27, "Input", CellTags->"SUNF", CellID->1757637776], - Cell[9525, 352, 341, 14, 38, "Output", + Cell[9526, 352, 341, 14, 38, "Output", CellTags->"SUNF"], - Cell[9903, 371, 180, 6, 27, "Input", + Cell[9904, 371, 180, 6, 27, "Input", CellTags->"SUNF", CellID->169262538], - Cell[10086, 379, 185, 6, 35, "Output", + Cell[10087, 379, 185, 6, 35, "Output", CellTags->"SUNF"], - Cell[10504, 398, 203, 6, 27, "Input", + Cell[10505, 398, 203, 6, 27, "Input", CellTags->"SUNF", CellID->2026232239], - Cell[10710, 406, 1532, 59, 43, "Output", + Cell[10711, 406, 1532, 59, 43, "Output", CellTags->"SUNF"], - Cell[12279, 470, 283, 9, 27, "Input", + Cell[12280, 470, 283, 9, 27, "Input", CellTags->"SUNF", CellID->386944916], - Cell[12565, 481, 439, 18, 40, "Output", + Cell[12566, 481, 439, 18, 40, "Output", CellTags->"SUNF"], - Cell[13041, 504, 256, 8, 27, "Input", + Cell[13042, 504, 256, 8, 27, "Input", CellTags->"SUNF", CellID->963311023], - Cell[13300, 514, 1551, 60, 43, "Output", + Cell[13301, 514, 1551, 60, 43, "Output", CellTags->"SUNF"], - Cell[14888, 579, 191, 7, 27, "Input", + Cell[14889, 579, 191, 7, 27, "Input", CellTags->"SUNF", CellID->1003312113], - Cell[15082, 588, 235, 7, 51, "Output", + Cell[15083, 588, 235, 7, 51, "Output", CellTags->"SUNF"], - Cell[15354, 600, 221, 8, 27, "Input", + Cell[15355, 600, 221, 8, 27, "Input", CellTags->"SUNF", CellID->2081826967], - Cell[15578, 610, 344, 10, 51, "Output", + Cell[15579, 610, 344, 10, 51, "Output", CellTags->"SUNF"], - Cell[15959, 625, 250, 9, 27, "Input", + Cell[15960, 625, 250, 9, 27, "Input", CellTags->"SUNF", CellID->1938677300], - Cell[16212, 636, 236, 7, 51, "Output", + Cell[16213, 636, 236, 7, 51, "Output", CellTags->"SUNF"], - Cell[16485, 648, 153, 5, 27, "Input", + Cell[16486, 648, 153, 5, 27, "Input", CellTags->"SUNF", CellID->334638901], - Cell[16641, 655, 342, 14, 38, "Output", + Cell[16642, 655, 342, 14, 38, "Output", CellTags->"SUNF"], - Cell[17020, 674, 181, 6, 27, "Input", + Cell[17021, 674, 181, 6, 27, "Input", CellTags->"SUNF", CellID->1328454294], - Cell[17204, 682, 488, 21, 38, "Output", + Cell[17205, 682, 488, 21, 38, "Output", CellTags->"SUNF"]}, "PrimaryExamplesSection"->{ - Cell[6092, 192, 388, 15, 31, "PrimaryExamplesSection", + Cell[6093, 192, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1846243533]} + CellID->976006146]} } *) (*CellTagsIndex CellTagsIndex->{ - {"SUNF", 20898, 812}, - {"PrimaryExamplesSection", 22995, 883} + {"SUNF", 20844, 811}, + {"PrimaryExamplesSection", 22941, 882} } *) (*NotebookFileOutline @@ -902,127 +901,127 @@ Cell[CellGroupData[{ Cell[4309, 120, 517, 16, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4851, 140, 738, 24, 31, "NotesSection", +Cell[4851, 140, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->585406414], -Cell[5592, 166, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1565387647], +Cell[5593, 166, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5648, 170, 126, 4, 70, "Input", +Cell[5649, 170, 126, 4, 70, "Input", CellTags->"SUNF", CellID->121887364], -Cell[5777, 176, 254, 9, 37, "Output", +Cell[5778, 176, 254, 9, 37, "Output", CellTags->"SUNF"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6092, 192, 388, 15, 31, "PrimaryExamplesSection", +Cell[6093, 192, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1846243533], + CellID->976006146], Cell[CellGroupData[{ -Cell[6505, 211, 195, 6, 26, "ExampleSection", - CellID->168350434], +Cell[6505, 211, 196, 6, 26, "ExampleSection", + CellID->1297586242], Cell[CellGroupData[{ -Cell[6725, 221, 282, 10, 27, "Input", +Cell[6726, 221, 282, 10, 27, "Input", CellTags->"SUNF", CellID->1766434801], -Cell[7010, 233, 601, 25, 40, "Output", +Cell[7011, 233, 601, 25, 40, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[7648, 263, 119, 4, 27, "Input", +Cell[7649, 263, 119, 4, 27, "Input", CellTags->"SUNF", CellID->139383085], -Cell[7770, 269, 853, 37, 40, "Output", +Cell[7771, 269, 853, 37, 40, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[8660, 311, 127, 4, 27, "Input", +Cell[8661, 311, 127, 4, 27, "Input", CellTags->"SUNF", CellID->479451850], -Cell[8790, 317, 542, 23, 40, "Output", +Cell[8791, 317, 542, 23, 40, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[9369, 345, 153, 5, 27, "Input", +Cell[9370, 345, 153, 5, 27, "Input", CellTags->"SUNF", CellID->1757637776], -Cell[9525, 352, 341, 14, 38, "Output", +Cell[9526, 352, 341, 14, 38, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[9903, 371, 180, 6, 27, "Input", +Cell[9904, 371, 180, 6, 27, "Input", CellTags->"SUNF", CellID->169262538], -Cell[10086, 379, 185, 6, 35, "Output", +Cell[10087, 379, 185, 6, 35, "Output", CellTags->"SUNF"] }, Open ]], -Cell[10286, 388, 193, 6, 33, "Notes"], +Cell[10287, 388, 193, 6, 33, "Notes"], Cell[CellGroupData[{ -Cell[10504, 398, 203, 6, 27, "Input", +Cell[10505, 398, 203, 6, 27, "Input", CellTags->"SUNF", CellID->2026232239], -Cell[10710, 406, 1532, 59, 43, "Output", +Cell[10711, 406, 1532, 59, 43, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[12279, 470, 283, 9, 27, "Input", +Cell[12280, 470, 283, 9, 27, "Input", CellTags->"SUNF", CellID->386944916], -Cell[12565, 481, 439, 18, 40, "Output", +Cell[12566, 481, 439, 18, 40, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[13041, 504, 256, 8, 27, "Input", +Cell[13042, 504, 256, 8, 27, "Input", CellTags->"SUNF", CellID->963311023], -Cell[13300, 514, 1551, 60, 43, "Output", +Cell[13301, 514, 1551, 60, 43, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[14888, 579, 191, 7, 27, "Input", +Cell[14889, 579, 191, 7, 27, "Input", CellTags->"SUNF", CellID->1003312113], -Cell[15082, 588, 235, 7, 51, "Output", +Cell[15083, 588, 235, 7, 51, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[15354, 600, 221, 8, 27, "Input", +Cell[15355, 600, 221, 8, 27, "Input", CellTags->"SUNF", CellID->2081826967], -Cell[15578, 610, 344, 10, 51, "Output", +Cell[15579, 610, 344, 10, 51, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[15959, 625, 250, 9, 27, "Input", +Cell[15960, 625, 250, 9, 27, "Input", CellTags->"SUNF", CellID->1938677300], -Cell[16212, 636, 236, 7, 51, "Output", +Cell[16213, 636, 236, 7, 51, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[16485, 648, 153, 5, 27, "Input", +Cell[16486, 648, 153, 5, 27, "Input", CellTags->"SUNF", CellID->334638901], -Cell[16641, 655, 342, 14, 38, "Output", +Cell[16642, 655, 342, 14, 38, "Output", CellTags->"SUNF"] }, Open ]], Cell[CellGroupData[{ -Cell[17020, 674, 181, 6, 27, "Input", +Cell[17021, 674, 181, 6, 27, "Input", CellTags->"SUNF", CellID->1328454294], -Cell[17204, 682, 488, 21, 38, "Output", +Cell[17205, 682, 488, 21, 38, "Output", CellTags->"SUNF"] }, Open ]] }, Open ]], -Cell[17719, 707, 31, 0, 29, "SectionFooterSpacer"] +Cell[17720, 707, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[17787, 712, 270, 12, 31, "SeeAlsoSection", +Cell[17788, 712, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[18060, 726, 958, 37, 56, "SeeAlso"] +Cell[18061, 726, 958, 37, 56, "SeeAlso"] }, Open ]], -Cell[19033, 766, 23, 0, 41, "FooterCell"] +Cell[19034, 766, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFDelta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFDelta.nb index 3ab894df2..50c8ba40a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFDelta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFDelta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17061, 638] -NotebookOptionsPosition[ 12013, 468] -NotebookOutlinePosition[ 14831, 550] -CellTagsIndexPosition[ 14719, 544] +NotebookDataLength[ 17068, 638] +NotebookOptionsPosition[ 12015, 468] +NotebookOutlinePosition[ 14836, 550] +CellTagsIndexPosition[ 14724, 544] WindowTitle->SUNFDelta WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$256496], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$257521], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNFDelta", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->729025756], + CellID->1910148770], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->984784336], + CellID->1268828151], Cell[CellGroupData[{ @@ -481,7 +481,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 46.989939}", + "built" -> "{2020, 6, 20, 19, 11, 23.274515}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -511,40 +511,40 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3634, 106, 387, 15, 31, "PrimaryExamplesSection", + Cell[3634, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->729025756]}, + CellID->1910148770]}, "SUNDelta"->{ - Cell[4266, 135, 225, 7, 27, "Input", + Cell[4268, 135, 225, 7, 27, "Input", CellTags->"SUNDelta", CellID->582133429], - Cell[4494, 144, 404, 17, 38, "Output", + Cell[4496, 144, 404, 17, 38, "Output", CellTags->"SUNDelta", CellID->29521155], - Cell[9435, 362, 588, 18, 62, "Input", + Cell[9437, 362, 588, 18, 62, "Input", CellTags->"SUNDelta", CellID->69005829], - Cell[10026, 382, 645, 28, 38, "Output", + Cell[10028, 382, 645, 28, 38, "Output", CellTags->"SUNDelta", CellID->1884304944], - Cell[10708, 415, 128, 4, 27, "Input", + Cell[10710, 415, 128, 4, 27, "Input", CellTags->"SUNDelta", CellID->965204507], - Cell[10839, 421, 508, 15, 69, "Output", + Cell[10841, 421, 508, 15, 69, "Output", CellTags->"SUNDelta", CellID->1607056186], - Cell[11384, 441, 214, 8, 27, "Input", + Cell[11386, 441, 214, 8, 27, "Input", CellTags->"SUNDelta", CellID->1853160304], - Cell[11601, 451, 346, 10, 51, "Output", + Cell[11603, 451, 346, 10, 51, "Output", CellTags->"SUNDelta", CellID->1026123076]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13848, 512}, - {"SUNDelta", 13983, 516} + {"PrimaryExamplesSection", 13852, 512}, + {"SUNDelta", 13988, 516} } *) (*NotebookFileOutline @@ -555,91 +555,91 @@ Cell[2861, 76, 286, 11, 45, "ObjectNameGrid"], Cell[3150, 89, 459, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3634, 106, 387, 15, 31, "PrimaryExamplesSection", +Cell[3634, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->729025756], + CellID->1910148770], Cell[CellGroupData[{ -Cell[4046, 125, 195, 6, 26, "ExampleSection", - CellID->984784336], +Cell[4047, 125, 196, 6, 26, "ExampleSection", + CellID->1268828151], Cell[CellGroupData[{ -Cell[4266, 135, 225, 7, 27, "Input", +Cell[4268, 135, 225, 7, 27, "Input", CellTags->"SUNDelta", CellID->582133429], -Cell[4494, 144, 404, 17, 38, "Output", +Cell[4496, 144, 404, 17, 38, "Output", CellTags->"SUNDelta", CellID->29521155] }, Open ]], Cell[CellGroupData[{ -Cell[4935, 166, 359, 11, 45, "Input", +Cell[4937, 166, 359, 11, 45, "Input", CellID->970611158], -Cell[5297, 179, 622, 27, 38, "Output", +Cell[5299, 179, 622, 27, 38, "Output", CellID->1745728117] }, Open ]], Cell[CellGroupData[{ -Cell[5956, 211, 104, 3, 27, "Input", +Cell[5958, 211, 104, 3, 27, "Input", CellID->1250352668], -Cell[6063, 216, 383, 16, 37, "Output", +Cell[6065, 216, 383, 16, 37, "Output", CellID->1286479361] }, Open ]], Cell[CellGroupData[{ -Cell[6483, 237, 228, 7, 27, "Input", +Cell[6485, 237, 228, 7, 27, "Input", CellID->472676003], -Cell[6714, 246, 393, 16, 41, "Output", +Cell[6716, 246, 393, 16, 41, "Output", CellID->1829996566] }, Open ]], Cell[CellGroupData[{ -Cell[7144, 267, 103, 3, 27, "Input", +Cell[7146, 267, 103, 3, 27, "Input", CellID->702868214], -Cell[7250, 272, 209, 7, 37, "Output", +Cell[7252, 272, 209, 7, 37, "Output", CellID->1033443082] }, Open ]], Cell[CellGroupData[{ -Cell[7496, 284, 244, 8, 27, "Input", +Cell[7498, 284, 244, 8, 27, "Input", CellID->1142784317], -Cell[7743, 294, 305, 9, 51, "Output", +Cell[7745, 294, 305, 9, 51, "Output", CellID->225868128] }, Open ]], Cell[CellGroupData[{ -Cell[8085, 308, 306, 10, 27, "Input", +Cell[8087, 308, 306, 10, 27, "Input", CellID->2037381176], -Cell[8394, 320, 225, 7, 51, "Output", +Cell[8396, 320, 225, 7, 51, "Output", CellID->1450369289] }, Open ]], Cell[CellGroupData[{ -Cell[8656, 332, 190, 7, 27, "Input", +Cell[8658, 332, 190, 7, 27, "Input", CellID->1154477064], -Cell[8849, 341, 306, 9, 51, "Output", +Cell[8851, 341, 306, 9, 51, "Output", CellID->1300251866] }, Open ]], -Cell[9170, 353, 240, 5, 65, "Notes", +Cell[9172, 353, 240, 5, 65, "Notes", CellID->879136127], Cell[CellGroupData[{ -Cell[9435, 362, 588, 18, 62, "Input", +Cell[9437, 362, 588, 18, 62, "Input", CellTags->"SUNDelta", CellID->69005829], -Cell[10026, 382, 645, 28, 38, "Output", +Cell[10028, 382, 645, 28, 38, "Output", CellTags->"SUNDelta", CellID->1884304944] }, Open ]], Cell[CellGroupData[{ -Cell[10708, 415, 128, 4, 27, "Input", +Cell[10710, 415, 128, 4, 27, "Input", CellTags->"SUNDelta", CellID->965204507], -Cell[10839, 421, 508, 15, 69, "Output", +Cell[10841, 421, 508, 15, 69, "Output", CellTags->"SUNDelta", CellID->1607056186] }, Open ]], Cell[CellGroupData[{ -Cell[11384, 441, 214, 8, 27, "Input", +Cell[11386, 441, 214, 8, 27, "Input", CellTags->"SUNDelta", CellID->1853160304], -Cell[11601, 451, 346, 10, 51, "Output", +Cell[11603, 451, 346, 10, 51, "Output", CellTags->"SUNDelta", CellID->1026123076] }, Open ]] }, Open ]] }, Open ]], -Cell[11986, 466, 23, 0, 41, "FooterCell"] +Cell[11988, 466, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFDeltaContract.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFDeltaContract.nb index c57b6defc..e420a77dd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFDeltaContract.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFDeltaContract.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11162, 365] -NotebookOptionsPosition[ 8023, 275] -NotebookOutlinePosition[ 10332, 334] -CellTagsIndexPosition[ 10247, 329] +NotebookDataLength[ 11166, 365] +NotebookOptionsPosition[ 8024, 275] +NotebookOutlinePosition[ 10335, 334] +CellTagsIndexPosition[ 10250, 329] WindowTitle->SUNFDeltaContract WindowFrame->Normal*) @@ -80,7 +80,7 @@ SUNFDeltaContract.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$256056], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$257081], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNFDeltaContract", ".html"]], None}]}]}, @@ -176,7 +176,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->788888489], + CellID->914072505], Cell[CellGroupData[{ @@ -186,7 +186,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->681143337], + CellID->2104737994], Cell[CellGroupData[{ @@ -288,7 +288,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 45.172079}", + "built" -> "{2020, 6, 20, 19, 11, 22.293437}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -323,12 +323,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5645, 163, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->788888489]} + CellID->914072505]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10104, 322} + {"PrimaryExamplesSection", 10107, 322} } *) (*NotebookFileOutline @@ -341,32 +341,32 @@ Cell[4018, 111, 1602, 48, 181, "Usage", Cell[CellGroupData[{ Cell[5645, 163, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->788888489], + CellID->914072505], Cell[CellGroupData[{ -Cell[6057, 182, 195, 6, 26, "ExampleSection", - CellID->681143337], +Cell[6057, 182, 196, 6, 26, "ExampleSection", + CellID->2104737994], Cell[CellGroupData[{ -Cell[6277, 192, 228, 7, 27, "Input", +Cell[6278, 192, 228, 7, 27, "Input", CellID->622785154], -Cell[6508, 201, 393, 16, 41, "Output", +Cell[6509, 201, 393, 16, 41, "Output", CellID->1092659905] }, Open ]], Cell[CellGroupData[{ -Cell[6938, 222, 114, 3, 27, "Input", +Cell[6939, 222, 114, 3, 27, "Input", CellID->1040305798], -Cell[7055, 227, 186, 6, 35, "Output", +Cell[7056, 227, 186, 6, 35, "Output", CellID->595035273] }, Open ]] }, Open ]], -Cell[7268, 237, 31, 0, 29, "SectionFooterSpacer"] +Cell[7269, 237, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7336, 242, 270, 12, 31, "SeeAlsoSection", +Cell[7337, 242, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7609, 256, 372, 14, 56, "SeeAlso", +Cell[7610, 256, 372, 14, 56, "SeeAlso", CellID->660285530] }, Open ]], -Cell[7996, 273, 23, 0, 41, "FooterCell"] +Cell[7997, 273, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFIndex.nb index 2c2d076ed..2382be610 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10285, 354] -NotebookOptionsPosition[ 6360, 229] -NotebookOutlinePosition[ 9080, 306] -CellTagsIndexPosition[ 8970, 300] +NotebookDataLength[ 10228, 353] +NotebookOptionsPosition[ 6359, 229] +NotebookOutlinePosition[ 9024, 305] +CellTagsIndexPosition[ 8914, 299] WindowTitle->SUNFIndex WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$256933], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$257958], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNFIndex", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1612021199], + CellID->1524277494], Cell[CellGroupData[{ @@ -128,7 +128,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1907431679], + CellID->184206346], Cell[CellGroupData[{ @@ -242,7 +242,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 48.276683}", + "built" -> "{2020, 6, 20, 19, 11, 24.369179}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -262,8 +262,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -275,32 +274,32 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3642, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1612021199]}, + CellID->1524277494]}, "SUNIndex"->{ - Cell[4276, 134, 128, 4, 27, "Input", + Cell[4275, 134, 128, 4, 27, "Input", CellTags->"SUNIndex", CellID->973923672], - Cell[4407, 140, 209, 7, 35, "Output", + Cell[4406, 140, 209, 7, 35, "Output", CellTags->"SUNIndex", CellID->769084224], - Cell[4653, 152, 127, 4, 27, "Input", + Cell[4652, 152, 127, 4, 27, "Input", CellTags->"SUNIndex", CellID->293124345], - Cell[4783, 158, 231, 7, 51, "Output", + Cell[4782, 158, 231, 7, 51, "Output", CellTags->"SUNIndex", CellID->529449408], - Cell[5745, 202, 218, 8, 27, "Input", + Cell[5744, 202, 218, 8, 27, "Input", CellTags->"SUNIndex", CellID->874008605], - Cell[5966, 212, 328, 10, 51, "Output", + Cell[5965, 212, 328, 10, 51, "Output", CellTags->"SUNIndex", CellID->127438419]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8284, 274}, - {"SUNIndex", 8420, 278} + {"PrimaryExamplesSection", 8228, 273}, + {"SUNIndex", 8364, 277} } *) (*NotebookFileOutline @@ -313,49 +312,49 @@ Cell[3150, 89, 467, 12, 102, "Usage", Cell[CellGroupData[{ Cell[3642, 105, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1612021199], + CellID->1524277494], Cell[CellGroupData[{ -Cell[4055, 124, 196, 6, 26, "ExampleSection", - CellID->1907431679], +Cell[4055, 124, 195, 6, 26, "ExampleSection", + CellID->184206346], Cell[CellGroupData[{ -Cell[4276, 134, 128, 4, 27, "Input", +Cell[4275, 134, 128, 4, 27, "Input", CellTags->"SUNIndex", CellID->973923672], -Cell[4407, 140, 209, 7, 35, "Output", +Cell[4406, 140, 209, 7, 35, "Output", CellTags->"SUNIndex", CellID->769084224] }, Open ]], Cell[CellGroupData[{ -Cell[4653, 152, 127, 4, 27, "Input", +Cell[4652, 152, 127, 4, 27, "Input", CellTags->"SUNIndex", CellID->293124345], -Cell[4783, 158, 231, 7, 51, "Output", +Cell[4782, 158, 231, 7, 51, "Output", CellTags->"SUNIndex", CellID->529449408] }, Open ]], Cell[CellGroupData[{ -Cell[5051, 170, 106, 3, 27, "Input", +Cell[5050, 170, 106, 3, 27, "Input", CellID->1927371187], -Cell[5160, 175, 186, 6, 35, "Output", +Cell[5159, 175, 186, 6, 35, "Output", CellID->819007020] }, Open ]], Cell[CellGroupData[{ -Cell[5383, 186, 105, 3, 27, "Input", +Cell[5382, 186, 105, 3, 27, "Input", CellID->1807480238], -Cell[5491, 191, 217, 6, 51, "Output", +Cell[5490, 191, 217, 6, 51, "Output", CellID->2061967096] }, Open ]], Cell[CellGroupData[{ -Cell[5745, 202, 218, 8, 27, "Input", +Cell[5744, 202, 218, 8, 27, "Input", CellTags->"SUNIndex", CellID->874008605], -Cell[5966, 212, 328, 10, 51, "Output", +Cell[5965, 212, 328, 10, 51, "Output", CellTags->"SUNIndex", CellID->127438419] }, Open ]] }, Open ]] }, Open ]], -Cell[6333, 227, 23, 0, 41, "FooterCell"] +Cell[6332, 227, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFJacobi.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFJacobi.nb index b1d85c593..b0117331e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFJacobi.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFJacobi.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12194, 433] -NotebookOptionsPosition[ 8852, 332] -NotebookOutlinePosition[ 11324, 401] -CellTagsIndexPosition[ 11210, 395] +NotebookDataLength[ 12145, 432] +NotebookOptionsPosition[ 8854, 332] +NotebookOutlinePosition[ 11273, 400] +CellTagsIndexPosition[ 11159, 394] WindowTitle->SUNFJacobi WindowFrame->Normal*) @@ -80,7 +80,7 @@ SUNFJacobi.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$257366], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$258391], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNFJacobi", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->358688028], + CellID->1886187644], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->802224328], + CellID->1629561421], Cell[CellGroupData[{ @@ -345,7 +345,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 49.475502}", + "built" -> "{2020, 6, 20, 19, 11, 25.381143}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -365,8 +365,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -376,26 +375,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4394, 127, 387, 15, 31, "PrimaryExamplesSection", + Cell[4394, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->358688028]}, + CellID->1886187644]}, "SUNFJacobi"->{ - Cell[5026, 156, 397, 13, 27, "Input", + Cell[5028, 156, 397, 13, 27, "Input", CellTags->"SUNFJacobi", CellID->167388740], - Cell[5426, 171, 782, 35, 38, "Output", + Cell[5428, 171, 782, 35, 38, "Output", CellTags->"SUNFJacobi"], - Cell[6245, 211, 396, 13, 27, "Input", + Cell[6247, 211, 396, 13, 27, "Input", CellTags->"SUNFJacobi", CellID->693485776], - Cell[6644, 226, 1455, 65, 38, "Output", + Cell[6646, 226, 1455, 65, 38, "Output", CellTags->"SUNFJacobi"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10730, 377}, - {"SUNFJacobi", 10867, 381} + {"PrimaryExamplesSection", 10678, 376}, + {"SUNFJacobi", 10816, 380} } *) (*NotebookFileOutline @@ -406,35 +405,35 @@ Cell[3680, 98, 287, 11, 45, "ObjectNameGrid"], Cell[3970, 111, 399, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4394, 127, 387, 15, 31, "PrimaryExamplesSection", +Cell[4394, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->358688028], + CellID->1886187644], Cell[CellGroupData[{ -Cell[4806, 146, 195, 6, 26, "ExampleSection", - CellID->802224328], +Cell[4807, 146, 196, 6, 26, "ExampleSection", + CellID->1629561421], Cell[CellGroupData[{ -Cell[5026, 156, 397, 13, 27, "Input", +Cell[5028, 156, 397, 13, 27, "Input", CellTags->"SUNFJacobi", CellID->167388740], -Cell[5426, 171, 782, 35, 38, "Output", +Cell[5428, 171, 782, 35, 38, "Output", CellTags->"SUNFJacobi"] }, Open ]], Cell[CellGroupData[{ -Cell[6245, 211, 396, 13, 27, "Input", +Cell[6247, 211, 396, 13, 27, "Input", CellTags->"SUNFJacobi", CellID->693485776], -Cell[6644, 226, 1455, 65, 38, "Output", +Cell[6646, 226, 1455, 65, 38, "Output", CellTags->"SUNFJacobi"] }, Open ]] }, Open ]], -Cell[8126, 295, 31, 0, 29, "SectionFooterSpacer"] +Cell[8128, 295, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8194, 300, 270, 12, 31, "SeeAlsoSection", +Cell[8196, 300, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8467, 314, 343, 13, 56, "SeeAlso"] +Cell[8469, 314, 343, 13, 56, "SeeAlso"] }, Open ]], -Cell[8825, 330, 23, 0, 41, "FooterCell"] +Cell[8827, 330, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFSimplify.nb index 4a3b2aed2..6c03d5b92 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNFSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 20296, 778] +NotebookDataLength[ 20241, 777] NotebookOptionsPosition[ 15489, 619] -NotebookOutlinePosition[ 17645, 677] -CellTagsIndexPosition[ 17560, 672] +NotebookOutlinePosition[ 17590, 676] +CellTagsIndexPosition[ 17505, 671] WindowTitle->SUNFSimplify WindowFrame->Normal*) @@ -80,7 +80,7 @@ SUNFSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$258290], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$259315], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNFSimplify", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1833172902], + CellID->1888935461], Cell["", "SectionHeaderSpacer"], @@ -215,7 +215,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->447594986], + CellID->956528689], Cell[CellGroupData[{ @@ -225,7 +225,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->834270223], + CellID->162410892], Cell[CellGroupData[{ @@ -620,7 +620,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SUNFSimplify", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -632,7 +632,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 51.880678}", + "built" -> "{2020, 6, 20, 19, 11, 27.504772}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -653,8 +653,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -666,12 +665,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6345, 202, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->447594986]} + CellID->956528689]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17417, 665} + {"PrimaryExamplesSection", 17362, 664} } *) (*NotebookFileOutline @@ -685,7 +684,7 @@ Cell[4002, 113, 551, 16, 102, "Usage", Cell[CellGroupData[{ Cell[4578, 133, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1833172902], + CellID->1888935461], Cell[5320, 159, 31, 0, 70, "SectionHeaderSpacer"], Cell[5354, 161, 463, 14, 70, "Notes", CellID->489493579], @@ -700,10 +699,10 @@ Cell[5961, 184, 323, 11, 37, "Output", Cell[CellGroupData[{ Cell[6345, 202, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->447594986], + CellID->956528689], Cell[CellGroupData[{ Cell[6757, 221, 195, 6, 26, "ExampleSection", - CellID->834270223], + CellID->162410892], Cell[CellGroupData[{ Cell[6977, 231, 123, 4, 27, "Input", CellID->1645730981], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNIndex.nb index ec3184c68..66313ba28 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11813, 407] -NotebookOptionsPosition[ 7977, 287] -NotebookOutlinePosition[ 10561, 360] -CellTagsIndexPosition[ 10451, 354] +NotebookDataLength[ 11822, 407] +NotebookOptionsPosition[ 7980, 287] +NotebookOutlinePosition[ 10567, 360] +CellTagsIndexPosition[ 10457, 354] WindowTitle->SUNIndex WindowFrame->Normal*) @@ -83,7 +83,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$258737], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$259762], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNIndex", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->205043259], + CellID->1580014152], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->36840381], + CellID->1708932927], Cell[CellGroupData[{ @@ -300,7 +300,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 53.205007}", + "built" -> "{2020, 6, 20, 19, 11, 28.580116}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -330,31 +330,31 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4553, 130, 387, 15, 31, "PrimaryExamplesSection", + Cell[4553, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->205043259]}, + CellID->1580014152]}, "SUNIndex"->{ - Cell[5184, 159, 127, 4, 27, "Input", + Cell[5187, 159, 127, 4, 27, "Input", CellTags->"SUNIndex", CellID->973923672], - Cell[5314, 165, 189, 6, 35, "Output", + Cell[5317, 165, 189, 6, 35, "Output", CellTags->"SUNIndex"], - Cell[5540, 176, 127, 4, 27, "Input", + Cell[5543, 176, 127, 4, 27, "Input", CellTags->"SUNIndex", CellID->293124345], - Cell[5670, 182, 209, 6, 51, "Output", + Cell[5673, 182, 209, 6, 51, "Output", CellTags->"SUNIndex"], - Cell[6525, 221, 217, 8, 27, "Input", + Cell[6528, 221, 217, 8, 27, "Input", CellTags->"SUNIndex", CellID->874008605], - Cell[6745, 231, 305, 9, 51, "Output", + Cell[6748, 231, 305, 9, 51, "Output", CellTags->"SUNIndex"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9833, 331}, - {"SUNIndex", 9968, 335} + {"PrimaryExamplesSection", 9838, 331}, + {"SUNIndex", 9974, 335} } *) (*NotebookFileOutline @@ -365,50 +365,50 @@ Cell[3781, 101, 285, 11, 45, "ObjectNameGrid"], Cell[4069, 114, 459, 12, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4553, 130, 387, 15, 31, "PrimaryExamplesSection", +Cell[4553, 130, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->205043259], + CellID->1580014152], Cell[CellGroupData[{ -Cell[4965, 149, 194, 6, 26, "ExampleSection", - CellID->36840381], +Cell[4966, 149, 196, 6, 26, "ExampleSection", + CellID->1708932927], Cell[CellGroupData[{ -Cell[5184, 159, 127, 4, 27, "Input", +Cell[5187, 159, 127, 4, 27, "Input", CellTags->"SUNIndex", CellID->973923672], -Cell[5314, 165, 189, 6, 35, "Output", +Cell[5317, 165, 189, 6, 35, "Output", CellTags->"SUNIndex"] }, Open ]], Cell[CellGroupData[{ -Cell[5540, 176, 127, 4, 27, "Input", +Cell[5543, 176, 127, 4, 27, "Input", CellTags->"SUNIndex", CellID->293124345], -Cell[5670, 182, 209, 6, 51, "Output", +Cell[5673, 182, 209, 6, 51, "Output", CellTags->"SUNIndex"] }, Open ]], Cell[CellGroupData[{ -Cell[5916, 193, 84, 2, 27, "Input"], -Cell[6003, 197, 166, 5, 35, "Output"] +Cell[5919, 193, 84, 2, 27, "Input"], +Cell[6006, 197, 166, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6206, 207, 84, 2, 27, "Input"], -Cell[6293, 211, 195, 5, 51, "Output"] +Cell[6209, 207, 84, 2, 27, "Input"], +Cell[6296, 211, 195, 5, 51, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6525, 221, 217, 8, 27, "Input", +Cell[6528, 221, 217, 8, 27, "Input", CellTags->"SUNIndex", CellID->874008605], -Cell[6745, 231, 305, 9, 51, "Output", +Cell[6748, 231, 305, 9, 51, "Output", CellTags->"SUNIndex"] }, Open ]] }, Open ]], -Cell[7077, 244, 31, 0, 29, "SectionFooterSpacer"] +Cell[7080, 244, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7145, 249, 270, 12, 31, "SeeAlsoSection", +Cell[7148, 249, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[7418, 263, 517, 19, 70, "SeeAlso"] +Cell[7421, 263, 517, 19, 70, "SeeAlso"] }, Open ]], -Cell[7950, 285, 23, 0, 70, "FooterCell"] +Cell[7953, 285, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNIndexRename.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNIndexRename.nb index 024d0d78d..0d68b3fb3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNIndexRename.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNIndexRename.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7181, 217] +NotebookDataLength[ 7183, 217] NotebookOptionsPosition[ 5117, 160] -NotebookOutlinePosition[ 6973, 209] -CellTagsIndexPosition[ 6930, 206] +NotebookOutlinePosition[ 6975, 209] +CellTagsIndexPosition[ 6932, 206] WindowTitle->SUNIndexRename WindowFrame->Normal*) @@ -81,7 +81,7 @@ SUNIndexRename.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$259177], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$260202], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNIndexRename", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 54.549238}", + "built" -> "{2020, 6, 20, 19, 11, 29.576922}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNN.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNN.nb index 171292b2b..4122fb36c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNN.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNN.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9998, 331] +NotebookDataLength[ 9943, 330] NotebookOptionsPosition[ 7081, 243] -NotebookOutlinePosition[ 9322, 306] -CellTagsIndexPosition[ 9216, 300] +NotebookOutlinePosition[ 9267, 305] +CellTagsIndexPosition[ 9161, 299] WindowTitle->SUNN WindowFrame->Normal*) @@ -85,7 +85,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$259630], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$260655], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNN", ".html"]], None}]}]}, @@ -148,7 +148,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->933193033], + CellID->269032129], Cell[CellGroupData[{ @@ -158,7 +158,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->394912443], + CellID->735708398], Cell[CellGroupData[{ @@ -244,7 +244,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SUNN", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -256,7 +256,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 55.647684}", + "built" -> "{2020, 6, 20, 19, 11, 30.689976}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -275,8 +275,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -288,7 +287,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4681, 135, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->933193033]}, + CellID->269032129]}, "SUNN"->{ Cell[5313, 164, 335, 10, 27, "Input", CellTags->"SUNN", @@ -299,8 +298,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8914, 287}, - {"SUNN", 9045, 291} + {"PrimaryExamplesSection", 8859, 286}, + {"SUNN", 8990, 290} } *) (*NotebookFileOutline @@ -313,10 +312,10 @@ Cell[4185, 116, 471, 15, 87, "Usage", Cell[CellGroupData[{ Cell[4681, 135, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->933193033], + CellID->269032129], Cell[CellGroupData[{ Cell[5093, 154, 195, 6, 26, "ExampleSection", - CellID->394912443], + CellID->735708398], Cell[CellGroupData[{ Cell[5313, 164, 335, 10, 27, "Input", CellTags->"SUNN", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNNToCACF.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNNToCACF.nb index 17f62da39..ca1b43881 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNNToCACF.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNNToCACF.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10474, 337] -NotebookOptionsPosition[ 7411, 248] -NotebookOutlinePosition[ 9783, 312] -CellTagsIndexPosition[ 9671, 306] +NotebookDataLength[ 10417, 336] +NotebookOptionsPosition[ 7410, 248] +NotebookOutlinePosition[ 9727, 311] +CellTagsIndexPosition[ 9615, 305] WindowTitle->SUNNToCACF WindowFrame->Normal*) @@ -86,7 +86,7 @@ SUNNToCACF.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$260072], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$261097], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNNToCACF", ".html"]], None}]}]}, @@ -146,7 +146,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1706728932], + CellID->2003949146], Cell[CellGroupData[{ @@ -156,7 +156,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1367742659], + CellID->856283219], Cell[CellGroupData[{ @@ -249,7 +249,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SUNNToCACF", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -261,7 +261,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 56.662835}", + "built" -> "{2020, 6, 20, 19, 11, 31.670109}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -281,8 +281,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -294,19 +293,19 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4799, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1706728932]}, + CellID->2003949146]}, "SUNNToCACF"->{ - Cell[5433, 162, 340, 10, 27, "Input", + Cell[5432, 162, 340, 10, 27, "Input", CellTags->"SUNNToCACF", CellID->1879564079], - Cell[5776, 174, 270, 9, 37, "Output", + Cell[5775, 174, 270, 9, 37, "Output", CellTags->"SUNNToCACF"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9350, 293}, - {"SUNNToCACF", 9488, 297} + {"PrimaryExamplesSection", 9294, 292}, + {"SUNNToCACF", 9432, 296} } *) (*NotebookFileOutline @@ -319,26 +318,26 @@ Cell[4314, 117, 460, 12, 102, "Usage", Cell[CellGroupData[{ Cell[4799, 133, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1706728932], + CellID->2003949146], Cell[CellGroupData[{ -Cell[5212, 152, 196, 6, 26, "ExampleSection", - CellID->1367742659], +Cell[5212, 152, 195, 6, 26, "ExampleSection", + CellID->856283219], Cell[CellGroupData[{ -Cell[5433, 162, 340, 10, 27, "Input", +Cell[5432, 162, 340, 10, 27, "Input", CellTags->"SUNNToCACF", CellID->1879564079], -Cell[5776, 174, 270, 9, 37, "Output", +Cell[5775, 174, 270, 9, 37, "Output", CellTags->"SUNNToCACF"] }, Open ]] }, Open ]], -Cell[6073, 187, 31, 0, 29, "SectionFooterSpacer"] +Cell[6072, 187, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6141, 192, 270, 12, 31, "SeeAlsoSection", +Cell[6140, 192, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6414, 206, 955, 37, 56, "SeeAlso"] +Cell[6413, 206, 955, 37, 56, "SeeAlso"] }, Open ]], -Cell[7384, 246, 23, 0, 41, "FooterCell"] +Cell[7383, 246, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNSimplify.nb index dbf6953dc..7d9d6e9ac 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 44008, 1727] -NotebookOptionsPosition[ 31136, 1295] -NotebookOutlinePosition[ 37371, 1480] -CellTagsIndexPosition[ 37226, 1473] +NotebookDataLength[ 43950, 1726] +NotebookOptionsPosition[ 31135, 1295] +NotebookOutlinePosition[ 37314, 1479] +CellTagsIndexPosition[ 37169, 1472] WindowTitle->SUNSimplify WindowFrame->Normal*) @@ -83,7 +83,7 @@ SUNSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$260602], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$261627], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNSimplify", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2137365557], + CellID->881162010], Cell["", "SectionHeaderSpacer"], @@ -176,7 +176,7 @@ Cell[BoxData[ RowBox[{"SUNNToCACF", "\[Rule]", "True"}], ",", RowBox[{"SUNTrace", "\[Rule]", "False"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{501, 34}, + ImageSize->{501, 35}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[60]="] @@ -201,7 +201,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1511248044], + CellID->151520697], Cell[CellGroupData[{ @@ -211,7 +211,7 @@ Cell[TextData[{ Cell["(12)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->636636871], + CellID->1735486553], Cell[CellGroupData[{ @@ -1308,7 +1308,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 57.836834}", + "built" -> "{2020, 6, 20, 19, 11, 32.762232}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1327,8 +1327,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1338,143 +1337,143 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6187, 188, 389, 15, 31, "PrimaryExamplesSection", + Cell[6186, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1511248044]}, + CellID->151520697]}, "SUNSimplify"->{ - Cell[6822, 217, 237, 8, 27, "Input", + Cell[6821, 217, 237, 8, 27, "Input", CellTags->"SUNSimplify", CellID->1698138274], - Cell[7062, 227, 471, 19, 38, "Output", + Cell[7061, 227, 471, 19, 38, "Output", CellTags->"SUNSimplify"], - Cell[7570, 251, 134, 4, 27, "Input", + Cell[7569, 251, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1520473065], - Cell[7707, 257, 390, 16, 35, "Output", + Cell[7706, 257, 390, 16, 35, "Output", CellTags->"SUNSimplify"], - Cell[8264, 284, 181, 6, 27, "Input", + Cell[8263, 284, 181, 6, 27, "Input", CellTags->"SUNSimplify", CellID->1992995975], - Cell[8448, 292, 337, 13, 35, "Output", + Cell[8447, 292, 337, 13, 35, "Output", CellTags->"SUNSimplify"], - Cell[8822, 310, 134, 4, 27, "Input", + Cell[8821, 310, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1767152339], - Cell[8959, 316, 214, 7, 37, "Output", + Cell[8958, 316, 214, 7, 37, "Output", CellTags->"SUNSimplify"], - Cell[9896, 358, 244, 8, 27, "Input", + Cell[9895, 358, 244, 8, 27, "Input", CellTags->"SUNSimplify", CellID->1014117597], - Cell[10143, 368, 543, 23, 38, "Output", + Cell[10142, 368, 543, 23, 38, "Output", CellTags->"SUNSimplify"], - Cell[10723, 396, 133, 4, 27, "Input", + Cell[10722, 396, 133, 4, 27, "Input", CellTags->"SUNSimplify", CellID->399652098], - Cell[10859, 402, 446, 18, 40, "Output", + Cell[10858, 402, 446, 18, 40, "Output", CellTags->"SUNSimplify"], - Cell[11484, 432, 249, 8, 27, "Input", + Cell[11483, 432, 249, 8, 27, "Input", CellTags->"SUNSimplify", CellID->772128503], - Cell[11736, 442, 412, 16, 43, "Output", + Cell[11735, 442, 412, 16, 43, "Output", CellTags->"SUNSimplify"], - Cell[12185, 463, 134, 4, 27, "Input", + Cell[12184, 463, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1437762377], - Cell[12322, 469, 281, 9, 40, "Output", + Cell[12321, 469, 281, 9, 40, "Output", CellTags->"SUNSimplify"], - Cell[12782, 490, 249, 8, 27, "Input", + Cell[12781, 490, 249, 8, 27, "Input", CellTags->"SUNSimplify", CellID->1679024090], - Cell[13034, 500, 543, 23, 38, "Output", + Cell[13033, 500, 543, 23, 38, "Output", CellTags->"SUNSimplify"], - Cell[13614, 528, 134, 4, 27, "Input", + Cell[13613, 528, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1377676076], - Cell[13751, 534, 446, 18, 40, "Output", + Cell[13750, 534, 446, 18, 40, "Output", CellTags->"SUNSimplify"], - Cell[14376, 564, 248, 8, 27, "Input", + Cell[14375, 564, 248, 8, 27, "Input", CellTags->"SUNSimplify", CellID->188501571], - Cell[14627, 574, 543, 23, 38, "Output", + Cell[14626, 574, 543, 23, 38, "Output", CellTags->"SUNSimplify"], - Cell[15207, 602, 196, 6, 27, "Input", + Cell[15206, 602, 196, 6, 27, "Input", CellTags->"SUNSimplify", CellID->181805532], - Cell[15406, 610, 192, 6, 35, "Output", + Cell[15405, 610, 192, 6, 35, "Output", CellTags->"SUNSimplify"], - Cell[15982, 636, 235, 8, 27, "Input", + Cell[15981, 636, 235, 8, 27, "Input", CellTags->"SUNSimplify", CellID->1466861165], - Cell[16220, 646, 396, 14, 62, "Output", + Cell[16219, 646, 396, 14, 62, "Output", CellTags->"SUNSimplify"], - Cell[16653, 665, 403, 13, 27, "Input", + Cell[16652, 665, 403, 13, 27, "Input", CellTags->"SUNSimplify", CellID->1134202251], - Cell[17059, 680, 535, 21, 62, "Output", + Cell[17058, 680, 535, 21, 62, "Output", CellTags->"SUNSimplify"], - Cell[17773, 713, 263, 8, 27, "Input", + Cell[17772, 713, 263, 8, 27, "Input", CellTags->"SUNSimplify", CellID->741099718], - Cell[18039, 723, 1558, 60, 43, "Output", + Cell[18038, 723, 1558, 60, 43, "Output", CellTags->"SUNSimplify"], - Cell[19634, 788, 263, 8, 27, "Input", + Cell[19633, 788, 263, 8, 27, "Input", CellTags->"SUNSimplify", CellID->721833298], - Cell[19900, 798, 1517, 59, 43, "Output", + Cell[19899, 798, 1517, 59, 43, "Output", CellTags->"SUNSimplify"], - Cell[22462, 908, 134, 4, 27, "Input", + Cell[22461, 908, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1477873564], - Cell[22599, 914, 335, 11, 56, "Output", + Cell[22598, 914, 335, 11, 56, "Output", CellTags->"SUNSimplify"], - Cell[23113, 937, 423, 14, 27, "Input", + Cell[23112, 937, 423, 14, 27, "Input", CellTags->"SUNSimplify", CellID->1820847009], - Cell[23539, 953, 952, 41, 38, "Output", + Cell[23538, 953, 952, 41, 38, "Output", CellTags->"SUNSimplify"], - Cell[24528, 999, 198, 6, 27, "Input", + Cell[24527, 999, 198, 6, 27, "Input", CellTags->"SUNSimplify", CellID->1998126322], - Cell[24729, 1007, 794, 35, 38, "Output", + Cell[24728, 1007, 794, 35, 38, "Output", CellTags->"SUNSimplify"], - Cell[25702, 1054, 254, 7, 27, "Input", + Cell[25701, 1054, 254, 7, 27, "Input", CellTags->"SUNSimplify", CellID->891597542], - Cell[25959, 1063, 794, 35, 38, "Output", + Cell[25958, 1063, 794, 35, 38, "Output", CellTags->"SUNSimplify"], - Cell[26790, 1103, 212, 7, 27, "Input", + Cell[26789, 1103, 212, 7, 27, "Input", CellTags->"SUNSimplify", CellID->1242397694], - Cell[27005, 1112, 248, 8, 40, "Output", + Cell[27004, 1112, 248, 8, 40, "Output", CellTags->"SUNSimplify"]}, "SUNTrace"->{ - Cell[27432, 1132, 288, 9, 27, "Input", + Cell[27431, 1132, 288, 9, 27, "Input", CellTags->"SUNTrace", CellID->1959336477], - Cell[27723, 1143, 189, 6, 35, "Output", + Cell[27722, 1143, 189, 6, 35, "Output", CellTags->"SUNTrace"], - Cell[27949, 1154, 287, 9, 27, "Input", + Cell[27948, 1154, 287, 9, 27, "Input", CellTags->"SUNTrace", CellID->849009416], - Cell[28239, 1165, 189, 6, 35, "Output", + Cell[28238, 1165, 189, 6, 35, "Output", CellTags->"SUNTrace"], - Cell[28465, 1176, 288, 9, 27, "Input", + Cell[28464, 1176, 288, 9, 27, "Input", CellTags->"SUNTrace", CellID->1231032711], - Cell[28756, 1187, 189, 6, 35, "Output", + Cell[28755, 1187, 189, 6, 35, "Output", CellTags->"SUNTrace"], - Cell[28982, 1198, 288, 9, 27, "Input", + Cell[28981, 1198, 288, 9, 27, "Input", CellTags->"SUNTrace", CellID->1107366946], - Cell[29273, 1209, 663, 26, 43, "Output", + Cell[29272, 1209, 663, 26, 43, "Output", CellTags->"SUNTrace"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 33003, 1339}, - {"SUNSimplify", 33142, 1343}, - {"SUNTrace", 36570, 1449} + {"PrimaryExamplesSection", 32947, 1338}, + {"SUNSimplify", 33085, 1342}, + {"SUNTrace", 36513, 1448} } *) (*NotebookFileOutline @@ -1486,249 +1485,249 @@ Cell[CellGroupData[{ Cell[4228, 116, 406, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4659, 132, 739, 24, 31, "NotesSection", +Cell[4659, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2137365557], -Cell[5401, 158, 31, 0, 70, "SectionHeaderSpacer"], + CellID->881162010], +Cell[5400, 158, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5457, 162, 94, 2, 70, "Input"], -Cell[5554, 166, 572, 15, 55, "Output"] +Cell[5456, 162, 94, 2, 27, "Input"], +Cell[5553, 166, 572, 15, 56, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6187, 188, 389, 15, 31, "PrimaryExamplesSection", +Cell[6186, 188, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1511248044], + CellID->151520697], Cell[CellGroupData[{ -Cell[6601, 207, 196, 6, 26, "ExampleSection", - CellID->636636871], +Cell[6599, 207, 197, 6, 26, "ExampleSection", + CellID->1735486553], Cell[CellGroupData[{ -Cell[6822, 217, 237, 8, 27, "Input", +Cell[6821, 217, 237, 8, 27, "Input", CellTags->"SUNSimplify", CellID->1698138274], -Cell[7062, 227, 471, 19, 38, "Output", +Cell[7061, 227, 471, 19, 38, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[7570, 251, 134, 4, 27, "Input", +Cell[7569, 251, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1520473065], -Cell[7707, 257, 390, 16, 35, "Output", +Cell[7706, 257, 390, 16, 35, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[8134, 278, 105, 2, 9, "ExampleDelimiter"], +Cell[8133, 278, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[8264, 284, 181, 6, 27, "Input", +Cell[8263, 284, 181, 6, 27, "Input", CellTags->"SUNSimplify", CellID->1992995975], -Cell[8448, 292, 337, 13, 35, "Output", +Cell[8447, 292, 337, 13, 35, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[8822, 310, 134, 4, 27, "Input", +Cell[8821, 310, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1767152339], -Cell[8959, 316, 214, 7, 37, "Output", +Cell[8958, 316, 214, 7, 37, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[9210, 328, 243, 7, 27, "Input"], -Cell[9456, 337, 261, 9, 59, "Output"] +Cell[9209, 328, 243, 7, 27, "Input"], +Cell[9455, 337, 261, 9, 59, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[9766, 352, 105, 2, 9, "ExampleDelimiter"], +Cell[9765, 352, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[9896, 358, 244, 8, 27, "Input", +Cell[9895, 358, 244, 8, 27, "Input", CellTags->"SUNSimplify", CellID->1014117597], -Cell[10143, 368, 543, 23, 38, "Output", +Cell[10142, 368, 543, 23, 38, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[10723, 396, 133, 4, 27, "Input", +Cell[10722, 396, 133, 4, 27, "Input", CellTags->"SUNSimplify", CellID->399652098], -Cell[10859, 402, 446, 18, 40, "Output", +Cell[10858, 402, 446, 18, 40, "Output", CellTags->"SUNSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[11354, 426, 105, 2, 9, "ExampleDelimiter"], +Cell[11353, 426, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[11484, 432, 249, 8, 27, "Input", +Cell[11483, 432, 249, 8, 27, "Input", CellTags->"SUNSimplify", CellID->772128503], -Cell[11736, 442, 412, 16, 43, "Output", +Cell[11735, 442, 412, 16, 43, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[12185, 463, 134, 4, 27, "Input", +Cell[12184, 463, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1437762377], -Cell[12322, 469, 281, 9, 40, "Output", +Cell[12321, 469, 281, 9, 40, "Output", CellTags->"SUNSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[12652, 484, 105, 2, 9, "ExampleDelimiter"], +Cell[12651, 484, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[12782, 490, 249, 8, 27, "Input", +Cell[12781, 490, 249, 8, 27, "Input", CellTags->"SUNSimplify", CellID->1679024090], -Cell[13034, 500, 543, 23, 38, "Output", +Cell[13033, 500, 543, 23, 38, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[13614, 528, 134, 4, 27, "Input", +Cell[13613, 528, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1377676076], -Cell[13751, 534, 446, 18, 40, "Output", +Cell[13750, 534, 446, 18, 40, "Output", CellTags->"SUNSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[14246, 558, 105, 2, 9, "ExampleDelimiter"], +Cell[14245, 558, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[14376, 564, 248, 8, 27, "Input", +Cell[14375, 564, 248, 8, 27, "Input", CellTags->"SUNSimplify", CellID->188501571], -Cell[14627, 574, 543, 23, 38, "Output", +Cell[14626, 574, 543, 23, 38, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[15207, 602, 196, 6, 27, "Input", +Cell[15206, 602, 196, 6, 27, "Input", CellTags->"SUNSimplify", CellID->181805532], -Cell[15406, 610, 192, 6, 35, "Output", +Cell[15405, 610, 192, 6, 35, "Output", CellTags->"SUNSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[15647, 622, 105, 2, 9, "ExampleDelimiter"], -Cell[15755, 626, 202, 6, 27, "Input"], +Cell[15646, 622, 105, 2, 9, "ExampleDelimiter"], +Cell[15754, 626, 202, 6, 27, "Input"], Cell[CellGroupData[{ -Cell[15982, 636, 235, 8, 27, "Input", +Cell[15981, 636, 235, 8, 27, "Input", CellTags->"SUNSimplify", CellID->1466861165], -Cell[16220, 646, 396, 14, 62, "Output", +Cell[16219, 646, 396, 14, 62, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[16653, 665, 403, 13, 27, "Input", +Cell[16652, 665, 403, 13, 27, "Input", CellTags->"SUNSimplify", CellID->1134202251], -Cell[17059, 680, 535, 21, 62, "Output", +Cell[17058, 680, 535, 21, 62, "Output", CellTags->"SUNSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[17643, 707, 105, 2, 9, "ExampleDelimiter"], +Cell[17642, 707, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[17773, 713, 263, 8, 27, "Input", +Cell[17772, 713, 263, 8, 27, "Input", CellTags->"SUNSimplify", CellID->741099718], -Cell[18039, 723, 1558, 60, 43, "Output", +Cell[18038, 723, 1558, 60, 43, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[19634, 788, 263, 8, 27, "Input", +Cell[19633, 788, 263, 8, 27, "Input", CellTags->"SUNSimplify", CellID->721833298], -Cell[19900, 798, 1517, 59, 43, "Output", +Cell[19899, 798, 1517, 59, 43, "Output", CellTags->"SUNSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[21466, 863, 105, 2, 9, "ExampleDelimiter"], +Cell[21465, 863, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[21596, 869, 202, 6, 27, "Input"], -Cell[21801, 877, 624, 26, 38, "Output"] +Cell[21595, 869, 202, 6, 27, "Input"], +Cell[21800, 877, 624, 26, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[22462, 908, 134, 4, 27, "Input", +Cell[22461, 908, 134, 4, 27, "Input", CellTags->"SUNSimplify", CellID->1477873564], -Cell[22599, 914, 335, 11, 56, "Output", +Cell[22598, 914, 335, 11, 56, "Output", CellTags->"SUNSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[22983, 931, 105, 2, 9, "ExampleDelimiter"], +Cell[22982, 931, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[23113, 937, 423, 14, 27, "Input", +Cell[23112, 937, 423, 14, 27, "Input", CellTags->"SUNSimplify", CellID->1820847009], -Cell[23539, 953, 952, 41, 38, "Output", +Cell[23538, 953, 952, 41, 38, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[24528, 999, 198, 6, 27, "Input", +Cell[24527, 999, 198, 6, 27, "Input", CellTags->"SUNSimplify", CellID->1998126322], -Cell[24729, 1007, 794, 35, 38, "Output", +Cell[24728, 1007, 794, 35, 38, "Output", CellTags->"SUNSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[25572, 1048, 105, 2, 9, "ExampleDelimiter"], +Cell[25571, 1048, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[25702, 1054, 254, 7, 27, "Input", +Cell[25701, 1054, 254, 7, 27, "Input", CellTags->"SUNSimplify", CellID->891597542], -Cell[25959, 1063, 794, 35, 38, "Output", +Cell[25958, 1063, 794, 35, 38, "Output", CellTags->"SUNSimplify"] }, Open ]], Cell[CellGroupData[{ -Cell[26790, 1103, 212, 7, 27, "Input", +Cell[26789, 1103, 212, 7, 27, "Input", CellTags->"SUNSimplify", CellID->1242397694], -Cell[27005, 1112, 248, 8, 40, "Output", +Cell[27004, 1112, 248, 8, 40, "Output", CellTags->"SUNSimplify"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[27302, 1126, 105, 2, 9, "ExampleDelimiter"], +Cell[27301, 1126, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[27432, 1132, 288, 9, 27, "Input", +Cell[27431, 1132, 288, 9, 27, "Input", CellTags->"SUNTrace", CellID->1959336477], -Cell[27723, 1143, 189, 6, 35, "Output", +Cell[27722, 1143, 189, 6, 35, "Output", CellTags->"SUNTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[27949, 1154, 287, 9, 27, "Input", +Cell[27948, 1154, 287, 9, 27, "Input", CellTags->"SUNTrace", CellID->849009416], -Cell[28239, 1165, 189, 6, 35, "Output", +Cell[28238, 1165, 189, 6, 35, "Output", CellTags->"SUNTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[28465, 1176, 288, 9, 27, "Input", +Cell[28464, 1176, 288, 9, 27, "Input", CellTags->"SUNTrace", CellID->1231032711], -Cell[28756, 1187, 189, 6, 35, "Output", +Cell[28755, 1187, 189, 6, 35, "Output", CellTags->"SUNTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[28982, 1198, 288, 9, 27, "Input", +Cell[28981, 1198, 288, 9, 27, "Input", CellTags->"SUNTrace", CellID->1107366946], -Cell[29273, 1209, 663, 26, 43, "Output", +Cell[29272, 1209, 663, 26, 43, "Output", CellTags->"SUNTrace"] }, Open ]] }, Open ]] }, Open ]], -Cell[29975, 1240, 31, 0, 29, "SectionFooterSpacer"] +Cell[29974, 1240, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[30043, 1245, 270, 12, 31, "SeeAlsoSection", +Cell[30042, 1245, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[30316, 1259, 778, 31, 56, "SeeAlso"] +Cell[30315, 1259, 778, 31, 56, "SeeAlso"] }, Open ]], -Cell[31109, 1293, 23, 0, 41, "FooterCell"] +Cell[31108, 1293, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNT.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNT.nb index 478b119f3..def5d1865 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNT.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNT.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21198, 804] -NotebookOptionsPosition[ 14651, 581] -NotebookOutlinePosition[ 18536, 699] -CellTagsIndexPosition[ 18428, 693] +NotebookDataLength[ 21150, 803] +NotebookOptionsPosition[ 14653, 581] +NotebookOutlinePosition[ 18486, 698] +CellTagsIndexPosition[ 18378, 692] WindowTitle->SUNT WindowFrame->Normal*) @@ -86,7 +86,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$261523], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$262548], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNT", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->6159029], + CellID->463560333], Cell[CellGroupData[{ @@ -163,7 +163,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1899326785], + CellID->1737211327], Cell[CellGroupData[{ @@ -594,7 +594,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 0.521831}", + "built" -> "{2020, 6, 20, 19, 11, 35.103978}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -613,8 +613,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -624,76 +623,76 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4865, 140, 385, 15, 31, "PrimaryExamplesSection", + Cell[4865, 140, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->6159029]}, + CellID->463560333]}, "SUNT"->{ - Cell[5496, 169, 120, 4, 27, "Input", + Cell[5498, 169, 120, 4, 27, "Input", CellTags->"SUNT", CellID->1010106474], - Cell[5619, 175, 243, 9, 35, "Output", + Cell[5621, 175, 243, 9, 35, "Output", CellTags->"SUNT"], - Cell[6087, 197, 224, 7, 27, "Input", + Cell[6089, 197, 224, 7, 27, "Input", CellTags->"SUNT", CellID->892665531], - Cell[6314, 206, 401, 16, 38, "Output", + Cell[6316, 206, 401, 16, 38, "Output", CellTags->"SUNT"], - Cell[6752, 227, 163, 5, 27, "Input", + Cell[6754, 227, 163, 5, 27, "Input", CellTags->"SUNT", CellID->1074191459], - Cell[6918, 234, 473, 19, 38, "Output", + Cell[6920, 234, 473, 19, 38, "Output", CellTags->"SUNT"], - Cell[7428, 258, 259, 8, 27, "Input", + Cell[7430, 258, 259, 8, 27, "Input", CellTags->"SUNT", CellID->984008279], - Cell[7690, 268, 354, 14, 60, "Output", + Cell[7692, 268, 354, 14, 60, "Output", CellTags->"SUNT"], - Cell[8081, 287, 202, 6, 27, "Input", + Cell[8083, 287, 202, 6, 27, "Input", CellTags->"SUNT", CellID->1204560137], - Cell[8286, 295, 217, 7, 40, "Output", + Cell[8288, 295, 217, 7, 40, "Output", CellTags->"SUNT"], - Cell[8540, 307, 191, 6, 27, "Input", + Cell[8542, 307, 191, 6, 27, "Input", CellTags->"SUNT", CellID->979223472], - Cell[8734, 315, 486, 19, 56, "Output", + Cell[8736, 315, 486, 19, 56, "Output", CellTags->"SUNT"], - Cell[9257, 339, 259, 8, 27, "Input", + Cell[9259, 339, 259, 8, 27, "Input", CellTags->"SUNT", CellID->568398491], - Cell[9519, 349, 354, 14, 60, "Output", + Cell[9521, 349, 354, 14, 60, "Output", CellTags->"SUNT"], - Cell[10317, 384, 178, 6, 27, "Input", + Cell[10319, 384, 178, 6, 27, "Input", CellTags->"SUNT", CellID->345164772], - Cell[10498, 392, 414, 17, 60, "Output", + Cell[10500, 392, 414, 17, 60, "Output", CellTags->"SUNT"], - Cell[11131, 422, 213, 7, 27, "Input", + Cell[11133, 422, 213, 7, 27, "Input", CellTags->"SUNT", CellID->92682768], - Cell[11347, 431, 439, 18, 40, "Output", + Cell[11349, 431, 439, 18, 40, "Output", CellTags->"SUNT"], - Cell[11823, 454, 216, 7, 27, "Input", + Cell[11825, 454, 216, 7, 27, "Input", CellTags->"SUNT", CellID->615868524], - Cell[12042, 463, 349, 11, 69, "Output", + Cell[12044, 463, 349, 11, 69, "Output", CellTags->"SUNT"], - Cell[12428, 479, 185, 7, 27, "Input", + Cell[12430, 479, 185, 7, 27, "Input", CellTags->"SUNT", CellID->871309874], - Cell[12616, 488, 238, 7, 51, "Output", + Cell[12618, 488, 238, 7, 51, "Output", CellTags->"SUNT"], - Cell[12891, 500, 214, 8, 27, "Input", + Cell[12893, 500, 214, 8, 27, "Input", CellTags->"SUNT", CellID->1948844240], - Cell[13108, 510, 202, 6, 51, "Output", + Cell[13110, 510, 202, 6, 51, "Output", CellTags->"SUNT"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16514, 625}, - {"SUNT", 16643, 629} + {"PrimaryExamplesSection", 16462, 624}, + {"SUNT", 16593, 628} } *) (*NotebookFileOutline @@ -704,108 +703,108 @@ Cell[3977, 104, 281, 11, 45, "ObjectNameGrid"], Cell[4261, 117, 579, 19, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4865, 140, 385, 15, 31, "PrimaryExamplesSection", +Cell[4865, 140, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->6159029], + CellID->463560333], Cell[CellGroupData[{ -Cell[5275, 159, 196, 6, 26, "ExampleSection", - CellID->1899326785], +Cell[5277, 159, 196, 6, 26, "ExampleSection", + CellID->1737211327], Cell[CellGroupData[{ -Cell[5496, 169, 120, 4, 27, "Input", +Cell[5498, 169, 120, 4, 27, "Input", CellTags->"SUNT", CellID->1010106474], -Cell[5619, 175, 243, 9, 35, "Output", +Cell[5621, 175, 243, 9, 35, "Output", CellTags->"SUNT"] }, Open ]], -Cell[5877, 187, 185, 6, 33, "Notes"], +Cell[5879, 187, 185, 6, 33, "Notes"], Cell[CellGroupData[{ -Cell[6087, 197, 224, 7, 27, "Input", +Cell[6089, 197, 224, 7, 27, "Input", CellTags->"SUNT", CellID->892665531], -Cell[6314, 206, 401, 16, 38, "Output", +Cell[6316, 206, 401, 16, 38, "Output", CellTags->"SUNT"] }, Open ]], Cell[CellGroupData[{ -Cell[6752, 227, 163, 5, 27, "Input", +Cell[6754, 227, 163, 5, 27, "Input", CellTags->"SUNT", CellID->1074191459], -Cell[6918, 234, 473, 19, 38, "Output", +Cell[6920, 234, 473, 19, 38, "Output", CellTags->"SUNT"] }, Open ]], Cell[CellGroupData[{ -Cell[7428, 258, 259, 8, 27, "Input", +Cell[7430, 258, 259, 8, 27, "Input", CellTags->"SUNT", CellID->984008279], -Cell[7690, 268, 354, 14, 60, "Output", +Cell[7692, 268, 354, 14, 60, "Output", CellTags->"SUNT"] }, Open ]], Cell[CellGroupData[{ -Cell[8081, 287, 202, 6, 27, "Input", +Cell[8083, 287, 202, 6, 27, "Input", CellTags->"SUNT", CellID->1204560137], -Cell[8286, 295, 217, 7, 40, "Output", +Cell[8288, 295, 217, 7, 40, "Output", CellTags->"SUNT"] }, Open ]], Cell[CellGroupData[{ -Cell[8540, 307, 191, 6, 27, "Input", +Cell[8542, 307, 191, 6, 27, "Input", CellTags->"SUNT", CellID->979223472], -Cell[8734, 315, 486, 19, 56, "Output", +Cell[8736, 315, 486, 19, 56, "Output", CellTags->"SUNT"] }, Open ]], Cell[CellGroupData[{ -Cell[9257, 339, 259, 8, 27, "Input", +Cell[9259, 339, 259, 8, 27, "Input", CellTags->"SUNT", CellID->568398491], -Cell[9519, 349, 354, 14, 60, "Output", +Cell[9521, 349, 354, 14, 60, "Output", CellTags->"SUNT"] }, Open ]], -Cell[9888, 366, 404, 14, 33, "Notes"], +Cell[9890, 366, 404, 14, 33, "Notes"], Cell[CellGroupData[{ -Cell[10317, 384, 178, 6, 27, "Input", +Cell[10319, 384, 178, 6, 27, "Input", CellTags->"SUNT", CellID->345164772], -Cell[10498, 392, 414, 17, 60, "Output", +Cell[10500, 392, 414, 17, 60, "Output", CellTags->"SUNT"] }, Open ]], -Cell[10927, 412, 179, 6, 33, "Notes"], +Cell[10929, 412, 179, 6, 33, "Notes"], Cell[CellGroupData[{ -Cell[11131, 422, 213, 7, 27, "Input", +Cell[11133, 422, 213, 7, 27, "Input", CellTags->"SUNT", CellID->92682768], -Cell[11347, 431, 439, 18, 40, "Output", +Cell[11349, 431, 439, 18, 40, "Output", CellTags->"SUNT"] }, Open ]], Cell[CellGroupData[{ -Cell[11823, 454, 216, 7, 27, "Input", +Cell[11825, 454, 216, 7, 27, "Input", CellTags->"SUNT", CellID->615868524], -Cell[12042, 463, 349, 11, 69, "Output", +Cell[12044, 463, 349, 11, 69, "Output", CellTags->"SUNT"] }, Open ]], Cell[CellGroupData[{ -Cell[12428, 479, 185, 7, 27, "Input", +Cell[12430, 479, 185, 7, 27, "Input", CellTags->"SUNT", CellID->871309874], -Cell[12616, 488, 238, 7, 51, "Output", +Cell[12618, 488, 238, 7, 51, "Output", CellTags->"SUNT"] }, Open ]], Cell[CellGroupData[{ -Cell[12891, 500, 214, 8, 27, "Input", +Cell[12893, 500, 214, 8, 27, "Input", CellTags->"SUNT", CellID->1948844240], -Cell[13108, 510, 202, 6, 51, "Output", +Cell[13110, 510, 202, 6, 51, "Output", CellTags->"SUNT"] }, Open ]] }, Open ]], -Cell[13337, 520, 31, 0, 29, "SectionFooterSpacer"] +Cell[13339, 520, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[13405, 525, 270, 12, 31, "SeeAlsoSection", +Cell[13407, 525, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13678, 539, 931, 37, 56, "SeeAlso"] +Cell[13680, 539, 931, 37, 56, "SeeAlso"] }, Open ]], -Cell[14624, 579, 23, 0, 41, "FooterCell"] +Cell[14626, 579, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNTF.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNTF.nb index 097e59430..ea4875147 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNTF.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNTF.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15371, 583] -NotebookOptionsPosition[ 11460, 456] -NotebookOutlinePosition[ 13775, 521] -CellTagsIndexPosition[ 13667, 515] +NotebookDataLength[ 15310, 582] +NotebookOptionsPosition[ 11458, 456] +NotebookOutlinePosition[ 13716, 520] +CellTagsIndexPosition[ 13608, 514] WindowTitle->SUNTF WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$261078], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$262103], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNTF", ".html"]], None}]}]}, @@ -128,7 +128,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1660910752], + CellID->15770238], Cell[CellGroupData[{ @@ -138,7 +138,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->216790256], + CellID->471972724], Cell[CellGroupData[{ @@ -469,7 +469,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 59.246920}", + "built" -> "{2020, 6, 20, 19, 11, 34.005656}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -489,8 +489,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -500,22 +499,22 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3805, 115, 388, 15, 31, "PrimaryExamplesSection", + Cell[3805, 115, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1660910752]}, + CellID->15770238]}, "SUNT"->{ - Cell[4438, 144, 154, 5, 27, "Input", + Cell[4436, 144, 154, 5, 27, "Input", CellTags->"SUNT", CellID->1010106474], - Cell[4595, 151, 362, 15, 40, "Output", + Cell[4593, 151, 362, 15, 40, "Output", CellTags->"SUNT", CellID->236492549]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13342, 501}, - {"SUNT", 13474, 505} + {"PrimaryExamplesSection", 13285, 500}, + {"SUNT", 13415, 504} } *) (*NotebookFileOutline @@ -526,65 +525,65 @@ Cell[2841, 76, 282, 11, 45, "ObjectNameGrid"], Cell[3126, 89, 654, 22, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3805, 115, 388, 15, 31, "PrimaryExamplesSection", +Cell[3805, 115, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1660910752], + CellID->15770238], Cell[CellGroupData[{ -Cell[4218, 134, 195, 6, 26, "ExampleSection", - CellID->216790256], +Cell[4216, 134, 195, 6, 26, "ExampleSection", + CellID->471972724], Cell[CellGroupData[{ -Cell[4438, 144, 154, 5, 27, "Input", +Cell[4436, 144, 154, 5, 27, "Input", CellTags->"SUNT", CellID->1010106474], -Cell[4595, 151, 362, 15, 40, "Output", +Cell[4593, 151, 362, 15, 40, "Output", CellTags->"SUNT", CellID->236492549] }, Open ]], Cell[CellGroupData[{ -Cell[4994, 171, 183, 6, 27, "Input", +Cell[4992, 171, 183, 6, 27, "Input", CellID->798079172], -Cell[5180, 179, 457, 19, 46, "Output", +Cell[5178, 179, 457, 19, 46, "Output", CellID->1757242881] }, Open ]], -Cell[5652, 201, 127, 4, 32, "Notes", +Cell[5650, 201, 127, 4, 32, "Notes", CellID->542278934], Cell[CellGroupData[{ -Cell[5804, 209, 321, 11, 27, "Input", +Cell[5802, 209, 321, 11, 27, "Input", CellID->126110189], -Cell[6128, 222, 777, 33, 46, "Output", +Cell[6126, 222, 777, 33, 46, "Output", CellID->1442739890] }, Open ]], Cell[CellGroupData[{ -Cell[6942, 260, 368, 13, 27, "Input", +Cell[6940, 260, 368, 13, 27, "Input", CellID->1399027732], -Cell[7313, 275, 832, 37, 44, "Output", +Cell[7311, 275, 832, 37, 44, "Output", CellID->1075595377] }, Open ]], -Cell[8160, 315, 113, 3, 32, "Notes", +Cell[8158, 315, 113, 3, 32, "Notes", CellID->1989962998], Cell[CellGroupData[{ -Cell[8298, 322, 367, 13, 27, "Input", +Cell[8296, 322, 367, 13, 27, "Input", CellID->698303944], -Cell[8668, 337, 857, 36, 40, "Output", +Cell[8666, 337, 857, 36, 40, "Output", CellID->137508342] }, Open ]], -Cell[9540, 376, 190, 4, 49, "Notes", +Cell[9538, 376, 190, 4, 49, "Notes", CellID->1270640780], Cell[CellGroupData[{ -Cell[9755, 384, 432, 15, 27, "Input", +Cell[9753, 384, 432, 15, 27, "Input", CellID->483980042], -Cell[10190, 401, 472, 19, 56, "Output", +Cell[10188, 401, 472, 19, 56, "Output", CellID->599900556] }, Open ]], Cell[CellGroupData[{ -Cell[10699, 425, 256, 9, 27, "Input", +Cell[10697, 425, 256, 9, 27, "Input", CellID->1212273874], -Cell[10958, 436, 436, 13, 51, "Output", +Cell[10956, 436, 436, 13, 51, "Output", CellID->500789961] }, Open ]] }, Open ]] }, Open ]], -Cell[11433, 454, 23, 0, 41, "FooterCell"] +Cell[11431, 454, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNTrace.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNTrace.nb index 606cd9547..faa114c6d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNTrace.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SUNTrace.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 39960, 1533] -NotebookOptionsPosition[ 33935, 1335] -NotebookOutlinePosition[ 37295, 1433] -CellTagsIndexPosition[ 37181, 1427] +NotebookDataLength[ 39901, 1532] +NotebookOptionsPosition[ 33933, 1335] +NotebookOutlinePosition[ 37238, 1432] +CellTagsIndexPosition[ 37124, 1426] WindowTitle->SUNTrace WindowFrame->Normal*) @@ -83,7 +83,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$262000], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$263025], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SUNTrace", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1392268612], + CellID->467789216], Cell["", "SectionHeaderSpacer"], @@ -194,7 +194,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1412979261], + CellID->188971861], Cell[CellGroupData[{ @@ -204,7 +204,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->785766225], + CellID->409600144], Cell[CellGroupData[{ @@ -1348,7 +1348,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 1.706140}", + "built" -> "{2020, 6, 20, 19, 11, 36.231937}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1366,8 +1366,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1377,57 +1376,57 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5794, 181, 388, 15, 31, "PrimaryExamplesSection", + Cell[5793, 181, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1412979261]}, + CellID->188971861]}, "SUNTrace"->{ - Cell[6881, 232, 127, 4, 27, "Input", + Cell[6879, 232, 127, 4, 27, "Input", CellTags->"SUNTrace", CellID->401315043], - Cell[7011, 238, 418, 17, 60, "Output", + Cell[7009, 238, 418, 17, 60, "Output", CellTags->"SUNTrace"], - Cell[7596, 266, 193, 6, 27, "Input", + Cell[7594, 266, 193, 6, 27, "Input", CellTags->"SUNTrace", CellID->2065971662], - Cell[7792, 274, 741, 31, 40, "Output", + Cell[7790, 274, 741, 31, 40, "Output", CellTags->"SUNTrace"], - Cell[8570, 310, 257, 8, 27, "Input", + Cell[8568, 310, 257, 8, 27, "Input", CellTags->"SUNTrace", CellID->438695313], - Cell[8830, 320, 900, 38, 60, "Output", + Cell[8828, 320, 900, 38, 60, "Output", CellTags->"SUNTrace"], - Cell[9909, 370, 202, 6, 27, "Input", + Cell[9907, 370, 202, 6, 27, "Input", CellTags->"SUNTrace", CellID->973332873], - Cell[10114, 378, 880, 37, 40, "Output", + Cell[10112, 378, 880, 37, 40, "Output", CellTags->"SUNTrace", CellID->538427953], - Cell[11031, 420, 267, 8, 27, "Input", + Cell[11029, 420, 267, 8, 27, "Input", CellTags->"SUNTrace", CellID->414539651], - Cell[11301, 430, 5254, 217, 144, "Output", + Cell[11299, 430, 5254, 217, 144, "Output", CellTags->"SUNTrace"], - Cell[16592, 652, 193, 6, 27, "Input", + Cell[16590, 652, 193, 6, 27, "Input", CellTags->"SUNTrace", CellID->485058595], - Cell[16788, 660, 860, 36, 40, "Output", + Cell[16786, 660, 860, 36, 40, "Output", CellTags->"SUNTrace"], - Cell[17827, 708, 278, 8, 27, "Input", + Cell[17825, 708, 278, 8, 27, "Input", CellTags->"SUNTrace", CellID->1348500704], - Cell[18108, 718, 13414, 503, 379, "Output", + Cell[18106, 718, 13414, 503, 379, "Output", CellTags->"SUNTrace"], - Cell[31559, 1226, 194, 6, 27, "Input", + Cell[31557, 1226, 194, 6, 27, "Input", CellTags->"SUNTrace", CellID->1337618063], - Cell[31756, 1234, 979, 41, 40, "Output", + Cell[31754, 1234, 979, 41, 40, "Output", CellTags->"SUNTrace"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 35746, 1378}, - {"SUNTrace", 35882, 1382} + {"PrimaryExamplesSection", 35690, 1377}, + {"SUNTrace", 35825, 1381} } *) (*NotebookFileOutline @@ -1439,102 +1438,102 @@ Cell[CellGroupData[{ Cell[4209, 116, 372, 12, 84, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4606, 132, 739, 24, 31, "NotesSection", +Cell[4606, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1392268612], -Cell[5348, 158, 31, 0, 70, "SectionHeaderSpacer"], + CellID->467789216], +Cell[5347, 158, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5404, 162, 91, 2, 70, "Input"], -Cell[5498, 166, 235, 8, 37, "Output"] +Cell[5403, 162, 91, 2, 27, "Input"], +Cell[5497, 166, 235, 8, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5794, 181, 388, 15, 31, "PrimaryExamplesSection", +Cell[5793, 181, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1412979261], + CellID->188971861], Cell[CellGroupData[{ -Cell[6207, 200, 195, 6, 26, "ExampleSection", - CellID->785766225], +Cell[6205, 200, 195, 6, 26, "ExampleSection", + CellID->409600144], Cell[CellGroupData[{ -Cell[6427, 210, 103, 3, 27, "Input"], -Cell[6533, 215, 311, 12, 38, "Output"] +Cell[6425, 210, 103, 3, 27, "Input"], +Cell[6531, 215, 311, 12, 38, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6881, 232, 127, 4, 27, "Input", +Cell[6879, 232, 127, 4, 27, "Input", CellTags->"SUNTrace", CellID->401315043], -Cell[7011, 238, 418, 17, 60, "Output", +Cell[7009, 238, 418, 17, 60, "Output", CellTags->"SUNTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[7466, 260, 105, 2, 9, "ExampleDelimiter"], +Cell[7464, 260, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[7596, 266, 193, 6, 27, "Input", +Cell[7594, 266, 193, 6, 27, "Input", CellTags->"SUNTrace", CellID->2065971662], -Cell[7792, 274, 741, 31, 40, "Output", +Cell[7790, 274, 741, 31, 40, "Output", CellTags->"SUNTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[8570, 310, 257, 8, 27, "Input", +Cell[8568, 310, 257, 8, 27, "Input", CellTags->"SUNTrace", CellID->438695313], -Cell[8830, 320, 900, 38, 60, "Output", +Cell[8828, 320, 900, 38, 60, "Output", CellTags->"SUNTrace"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[9779, 364, 105, 2, 9, "ExampleDelimiter"], +Cell[9777, 364, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[9909, 370, 202, 6, 27, "Input", +Cell[9907, 370, 202, 6, 27, "Input", CellTags->"SUNTrace", CellID->973332873], -Cell[10114, 378, 880, 37, 40, "Output", +Cell[10112, 378, 880, 37, 40, "Output", CellTags->"SUNTrace", CellID->538427953] }, Open ]], Cell[CellGroupData[{ -Cell[11031, 420, 267, 8, 27, "Input", +Cell[11029, 420, 267, 8, 27, "Input", CellTags->"SUNTrace", CellID->414539651], -Cell[11301, 430, 5254, 217, 144, "Output", +Cell[11299, 430, 5254, 217, 144, "Output", CellTags->"SUNTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[16592, 652, 193, 6, 27, "Input", +Cell[16590, 652, 193, 6, 27, "Input", CellTags->"SUNTrace", CellID->485058595], -Cell[16788, 660, 860, 36, 40, "Output", +Cell[16786, 660, 860, 36, 40, "Output", CellTags->"SUNTrace"] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[17697, 702, 105, 2, 9, "ExampleDelimiter"], +Cell[17695, 702, 105, 2, 9, "ExampleDelimiter"], Cell[CellGroupData[{ -Cell[17827, 708, 278, 8, 27, "Input", +Cell[17825, 708, 278, 8, 27, "Input", CellTags->"SUNTrace", CellID->1348500704], -Cell[18108, 718, 13414, 503, 379, "Output", +Cell[18106, 718, 13414, 503, 379, "Output", CellTags->"SUNTrace"] }, Open ]], Cell[CellGroupData[{ -Cell[31559, 1226, 194, 6, 27, "Input", +Cell[31557, 1226, 194, 6, 27, "Input", CellTags->"SUNTrace", CellID->1337618063], -Cell[31756, 1234, 979, 41, 40, "Output", +Cell[31754, 1234, 979, 41, 40, "Output", CellTags->"SUNTrace"] }, Open ]] }, Open ]] }, Open ]], -Cell[32774, 1280, 31, 0, 29, "SectionFooterSpacer"] +Cell[32772, 1280, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[32842, 1285, 270, 12, 31, "SeeAlsoSection", +Cell[32840, 1285, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[33115, 1299, 778, 31, 56, "SeeAlso"] +Cell[33113, 1299, 778, 31, 56, "SeeAlso"] }, Open ]], -Cell[33908, 1333, 23, 0, 41, "FooterCell"] +Cell[33906, 1333, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarGluonVertex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarGluonVertex.nb index 48a30e4f3..6ee1c11ee 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarGluonVertex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarGluonVertex.nb @@ -10,8 +10,8 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11429, 374] -NotebookOptionsPosition[ 8010, 275] +NotebookDataLength[ 11428, 374] +NotebookOptionsPosition[ 8009, 275] NotebookOutlinePosition[ 10519, 341] CellTagsIndexPosition[ 10398, 335] WindowTitle->ScalarGluonVertex @@ -59,7 +59,7 @@ ScalarGluonVertex.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$225430], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$226447], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ScalarGluonVertex", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2080976489], + CellID->1756138814], Cell["", "SectionHeaderSpacer"], @@ -215,7 +215,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2037554269], + CellID->649660435], Cell[CellGroupData[{ @@ -225,7 +225,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1269130457], + CellID->1231168962], Cell[CellGroupData[{ @@ -288,7 +288,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 25.264443}", + "built" -> "{2020, 6, 20, 19, 10, 10.479387}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -321,20 +321,20 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6360, 202, 388, 15, 31, "PrimaryExamplesSection", + Cell[6360, 202, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2037554269]}, + CellID->649660435]}, "ScalarGluonVertex"->{ - Cell[6994, 231, 294, 9, 27, "Input", + Cell[6993, 231, 294, 9, 27, "Input", CellTags->"ScalarGluonVertex", CellID->581447761], - Cell[7291, 242, 653, 26, 37, "Output", + Cell[7290, 242, 653, 26, 37, "Output", CellTags->"ScalarGluonVertex"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10057, 322}, + {"PrimaryExamplesSection", 10058, 322}, {"ScalarGluonVertex", 10202, 326} } *) @@ -349,33 +349,33 @@ Cell[3221, 91, 1364, 39, 165, "Usage", Cell[CellGroupData[{ Cell[4610, 134, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2080976489], -Cell[5352, 160, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5386, 162, 415, 14, 70, "Notes", + CellID->1756138814], +Cell[5352, 160, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5386, 162, 415, 14, 49, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[5826, 180, 100, 2, 70, "Input"], +Cell[5826, 180, 100, 2, 27, "Input"], Cell[5929, 184, 370, 11, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6360, 202, 388, 15, 31, "PrimaryExamplesSection", +Cell[6360, 202, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2037554269], + CellID->649660435], Cell[CellGroupData[{ -Cell[6773, 221, 196, 6, 26, "ExampleSection", - CellID->1269130457], +Cell[6772, 221, 196, 6, 26, "ExampleSection", + CellID->1231168962], Cell[CellGroupData[{ -Cell[6994, 231, 294, 9, 27, "Input", +Cell[6993, 231, 294, 9, 27, "Input", CellTags->"ScalarGluonVertex", CellID->581447761], -Cell[7291, 242, 653, 26, 37, "Output", +Cell[7290, 242, 653, 26, 37, "Output", CellTags->"ScalarGluonVertex"] }, Open ]] }, Open ]] }, Open ]], -Cell[7983, 273, 23, 0, 41, "FooterCell"] +Cell[7982, 273, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarProduct.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarProduct.nb index aa9b56f90..fe97c5283 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarProduct.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarProduct.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23956, 855] +NotebookDataLength[ 23900, 854] NotebookOptionsPosition[ 17058, 645] -NotebookOutlinePosition[ 21321, 759] -CellTagsIndexPosition[ 21204, 753] +NotebookOutlinePosition[ 21265, 758] +CellTagsIndexPosition[ 21148, 752] WindowTitle->ScalarProduct WindowFrame->Normal*) @@ -88,7 +88,7 @@ ScalarProduct.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$226318], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$227335], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ScalarProduct", ".html"]], None}]}]}, @@ -169,7 +169,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1621412968], + CellID->534096956], Cell["", "SectionHeaderSpacer"], @@ -213,7 +213,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->237599024], + CellID->56678940], Cell[CellGroupData[{ @@ -223,7 +223,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->50304825], + CellID->1403502344], Cell[CellGroupData[{ @@ -646,7 +646,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ScalarProduct", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -658,7 +658,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 27.743003}", + "built" -> "{2020, 6, 20, 19, 10, 12.663657}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -685,8 +685,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -696,9 +695,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6890, 200, 387, 15, 31, "PrimaryExamplesSection", + Cell[6889, 200, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->237599024]}, + CellID->56678940]}, "ScalarProduct"->{ Cell[7521, 229, 160, 5, 27, "Input", CellTags->"ScalarProduct", @@ -752,8 +751,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 19457, 697}, - {"ScalarProduct", 19597, 701} + {"PrimaryExamplesSection", 19402, 696}, + {"ScalarProduct", 19541, 700} } *) (*NotebookFileOutline @@ -765,23 +764,23 @@ Cell[CellGroupData[{ Cell[4486, 121, 1010, 22, 171, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5521, 147, 739, 24, 31, "NotesSection", +Cell[5521, 147, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1621412968], -Cell[6263, 173, 31, 0, 70, "SectionHeaderSpacer"], + CellID->534096956], +Cell[6262, 173, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[6319, 177, 97, 2, 70, "Input"], -Cell[6419, 181, 410, 12, 37, "Output"] +Cell[6318, 177, 97, 2, 70, "Input"], +Cell[6418, 181, 410, 12, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6890, 200, 387, 15, 31, "PrimaryExamplesSection", +Cell[6889, 200, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->237599024], + CellID->56678940], Cell[CellGroupData[{ -Cell[7302, 219, 194, 6, 26, "ExampleSection", - CellID->50304825], +Cell[7300, 219, 196, 6, 26, "ExampleSection", + CellID->1403502344], Cell[CellGroupData[{ Cell[7521, 229, 160, 5, 27, "Input", CellTags->"ScalarProduct", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarProductCancel.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarProductCancel.nb index e93daebe0..0b2a95bed 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarProductCancel.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScalarProductCancel.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 35987, 1193] -NotebookOptionsPosition[ 30994, 1043] -NotebookOutlinePosition[ 34156, 1129] -CellTagsIndexPosition[ 34031, 1123] +NotebookDataLength[ 35930, 1192] +NotebookOptionsPosition[ 30993, 1043] +NotebookOutlinePosition[ 34100, 1128] +CellTagsIndexPosition[ 33975, 1122] WindowTitle->ScalarProductCancel WindowFrame->Normal*) @@ -87,7 +87,7 @@ ScalarProductCancel.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$225869], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$226886], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ScalarProductCancel", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1453232900], + CellID->1488643257], Cell["", "SectionHeaderSpacer"], @@ -216,7 +216,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1161232346], + CellID->28717783], Cell[CellGroupData[{ @@ -226,7 +226,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->876504323], + CellID->1468073987], Cell[CellGroupData[{ @@ -1044,7 +1044,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ScalarProductCancel", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1056,7 +1056,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 26.514755}", + "built" -> "{2020, 6, 20, 19, 10, 11.481762}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1077,8 +1077,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1088,42 +1087,42 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "ScalarProductCancel"->{ - Cell[5969, 175, 155, 4, 70, "Input", + Cell[5969, 175, 155, 4, 27, "Input", CellTags->"ScalarProductCancel", CellID->183152643], Cell[6127, 181, 555, 15, 56, "Output", CellTags->"ScalarProductCancel", CellID->55006305], - Cell[7376, 232, 364, 13, 27, "Input", + Cell[7375, 232, 364, 13, 27, "Input", CellTags->"ScalarProductCancel", CellID->2001963960], - Cell[7743, 247, 1565, 57, 60, "Output", + Cell[7742, 247, 1565, 57, 60, "Output", CellTags->"ScalarProductCancel"], - Cell[9345, 309, 172, 5, 27, "Input", + Cell[9344, 309, 172, 5, 27, "Input", CellTags->"ScalarProductCancel", CellID->704586696], - Cell[9520, 316, 2324, 76, 67, "Output", + Cell[9519, 316, 2324, 76, 67, "Output", CellTags->"ScalarProductCancel"], - Cell[11881, 397, 579, 19, 27, "Input", + Cell[11880, 397, 579, 19, 27, "Input", CellTags->"ScalarProductCancel", CellID->360584001], - Cell[12463, 418, 3702, 129, 64, "Output", + Cell[12462, 418, 3702, 129, 64, "Output", CellTags->"ScalarProductCancel"], - Cell[16202, 552, 214, 6, 27, "Input", + Cell[16201, 552, 214, 6, 27, "Input", CellTags->"ScalarProductCancel", CellID->1734687931], - Cell[16419, 560, 13015, 412, 227, "Output", + Cell[16418, 560, 13015, 412, 227, "Output", CellTags->"ScalarProductCancel"]}, "PrimaryExamplesSection"->{ - Cell[6743, 203, 388, 15, 31, "PrimaryExamplesSection", + Cell[6743, 203, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1161232346]} + CellID->28717783]} } *) (*CellTagsIndex CellTagsIndex->{ - {"ScalarProductCancel", 32940, 1089}, - {"PrimaryExamplesSection", 33887, 1116} + {"ScalarProductCancel", 32886, 1088}, + {"PrimaryExamplesSection", 33833, 1115} } *) (*NotebookFileOutline @@ -1137,12 +1136,12 @@ Cell[4494, 120, 521, 15, 85, "Usage", Cell[CellGroupData[{ Cell[5040, 139, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1453232900], -Cell[5782, 165, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5816, 167, 128, 4, 70, "Notes", + CellID->1488643257], +Cell[5782, 165, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5816, 167, 128, 4, 32, "Notes", CellID->1067943069], Cell[CellGroupData[{ -Cell[5969, 175, 155, 4, 70, "Input", +Cell[5969, 175, 155, 4, 27, "Input", CellTags->"ScalarProductCancel", CellID->183152643], Cell[6127, 181, 555, 15, 56, "Output", @@ -1152,49 +1151,49 @@ Cell[6127, 181, 555, 15, 56, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6743, 203, 388, 15, 31, "PrimaryExamplesSection", +Cell[6743, 203, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1161232346], + CellID->28717783], Cell[CellGroupData[{ -Cell[7156, 222, 195, 6, 26, "ExampleSection", - CellID->876504323], +Cell[7154, 222, 196, 6, 26, "ExampleSection", + CellID->1468073987], Cell[CellGroupData[{ -Cell[7376, 232, 364, 13, 27, "Input", +Cell[7375, 232, 364, 13, 27, "Input", CellTags->"ScalarProductCancel", CellID->2001963960], -Cell[7743, 247, 1565, 57, 60, "Output", +Cell[7742, 247, 1565, 57, 60, "Output", CellTags->"ScalarProductCancel"] }, Open ]], Cell[CellGroupData[{ -Cell[9345, 309, 172, 5, 27, "Input", +Cell[9344, 309, 172, 5, 27, "Input", CellTags->"ScalarProductCancel", CellID->704586696], -Cell[9520, 316, 2324, 76, 67, "Output", +Cell[9519, 316, 2324, 76, 67, "Output", CellTags->"ScalarProductCancel"] }, Open ]], Cell[CellGroupData[{ -Cell[11881, 397, 579, 19, 27, "Input", +Cell[11880, 397, 579, 19, 27, "Input", CellTags->"ScalarProductCancel", CellID->360584001], -Cell[12463, 418, 3702, 129, 64, "Output", +Cell[12462, 418, 3702, 129, 64, "Output", CellTags->"ScalarProductCancel"] }, Open ]], Cell[CellGroupData[{ -Cell[16202, 552, 214, 6, 27, "Input", +Cell[16201, 552, 214, 6, 27, "Input", CellTags->"ScalarProductCancel", CellID->1734687931], -Cell[16419, 560, 13015, 412, 227, "Output", +Cell[16418, 560, 13015, 412, 227, "Output", CellTags->"ScalarProductCancel"] }, Open ]] }, Open ]], -Cell[29461, 976, 31, 0, 70, "SectionFooterSpacer"] +Cell[29460, 976, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[29529, 981, 270, 12, 70, "SeeAlsoSection", +Cell[29528, 981, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[29802, 995, 1150, 43, 70, "SeeAlso"] +Cell[29801, 995, 1150, 43, 56, "SeeAlso"] }, Open ]], -Cell[30967, 1041, 23, 0, 70, "FooterCell"] +Cell[30966, 1041, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScaleMu.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScaleMu.nb index 9743e5c2b..9b61fa5de 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScaleMu.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ScaleMu.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6969, 220] -NotebookOptionsPosition[ 4474, 148] -NotebookOutlinePosition[ 6548, 204] -CellTagsIndexPosition[ 6464, 199] +NotebookDataLength[ 6912, 219] +NotebookOptionsPosition[ 4472, 148] +NotebookOutlinePosition[ 6493, 203] +CellTagsIndexPosition[ 6409, 198] WindowTitle->ScaleMu WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$226766], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$227783], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ScaleMu", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1179005094], + CellID->200539168], Cell[CellGroupData[{ @@ -127,7 +127,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1073653396], + CellID->130695026], Cell[CellGroupData[{ @@ -149,7 +149,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ScaleMu", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -161,7 +161,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 28.882275}", + "built" -> "{2020, 6, 20, 19, 10, 13.748311}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -180,8 +180,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -191,14 +190,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3545, 104, 388, 15, 31, "PrimaryExamplesSection", + Cell[3545, 104, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1179005094]} + CellID->200539168]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 6320, 192} + {"PrimaryExamplesSection", 6266, 191} } *) (*NotebookFileOutline @@ -209,19 +208,19 @@ Cell[2851, 76, 284, 11, 45, "ObjectNameGrid"], Cell[3138, 89, 382, 11, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3545, 104, 388, 15, 31, "PrimaryExamplesSection", +Cell[3545, 104, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1179005094], + CellID->200539168], Cell[CellGroupData[{ -Cell[3958, 123, 196, 6, 26, "ExampleSection", - CellID->1073653396], +Cell[3957, 123, 195, 6, 26, "ExampleSection", + CellID->130695026], Cell[CellGroupData[{ -Cell[4179, 133, 56, 1, 27, "Input"], -Cell[4238, 136, 170, 5, 37, "Output"] +Cell[4177, 133, 56, 1, 27, "Input"], +Cell[4236, 136, 170, 5, 37, "Output"] }, Open ]] }, Open ]] }, Open ]], -Cell[4447, 146, 23, 0, 41, "FooterCell"] +Cell[4445, 146, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Schouten.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Schouten.nb index b3c0abaa2..943d04f0d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Schouten.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Schouten.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15524, 486] -NotebookOptionsPosition[ 12106, 384] -NotebookOutlinePosition[ 14372, 446] -CellTagsIndexPosition[ 14252, 440] +NotebookDataLength[ 15465, 485] +NotebookOptionsPosition[ 12104, 384] +NotebookOutlinePosition[ 14315, 445] +CellTagsIndexPosition[ 14195, 439] WindowTitle->Schouten WindowFrame->Normal*) @@ -82,7 +82,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$227201], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$228218], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Schouten", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1180164228], + CellID->41241416], Cell["", "SectionHeaderSpacer"], @@ -222,7 +222,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1624219515], + CellID->2023497127], Cell[CellGroupData[{ @@ -232,7 +232,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->614495084], + CellID->297513881], Cell[CellGroupData[{ @@ -320,7 +320,7 @@ WvvwmhEr+8YkCWIaRMQ0iIhpEFnWaUx3F697NLCKz+/KCRgxDSJiGkTENIgs ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[1]=", - CellID->1618506410] + CellID->1931915515] }, Open ]], Cell[CellGroupData[{ @@ -384,7 +384,7 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, +WindowSize->{725, 750}, WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"Schouten", TaggingRules->{ @@ -397,7 +397,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 30.095056}", + "built" -> "{2020, 6, 20, 19, 10, 14.755065}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -417,8 +417,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -428,19 +427,19 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6666, 209, 388, 15, 31, "PrimaryExamplesSection", + Cell[6664, 209, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1624219515]}, + CellID->2023497127]}, "RasterizedOutput"->{ - Cell[8421, 274, 2418, 48, 39, "Output", + Cell[8419, 274, 2418, 48, 39, "Output", CellTags->"RasterizedOutput", - CellID->1618506410]} + CellID->1931915515]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13985, 429}, - {"RasterizedOutput", 14129, 433} + {"PrimaryExamplesSection", 13928, 428}, + {"RasterizedOutput", 14072, 432} } *) (*NotebookFileOutline @@ -452,42 +451,42 @@ Cell[CellGroupData[{ Cell[4103, 115, 475, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4603, 132, 739, 24, 31, "NotesSection", +Cell[4603, 132, 737, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1180164228], -Cell[5345, 158, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5379, 160, 256, 8, 70, "Notes"], -Cell[5638, 170, 316, 9, 70, "Notes"], -Cell[5957, 181, 660, 22, 70, "Notes"] + CellID->41241416], +Cell[5343, 158, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5377, 160, 256, 8, 70, "Notes"], +Cell[5636, 170, 316, 9, 70, "Notes"], +Cell[5955, 181, 660, 22, 70, "Notes"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6666, 209, 388, 15, 31, "PrimaryExamplesSection", +Cell[6664, 209, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1624219515], + CellID->2023497127], Cell[CellGroupData[{ -Cell[7079, 228, 195, 6, 26, "ExampleSection", - CellID->614495084], +Cell[7077, 228, 195, 6, 26, "ExampleSection", + CellID->297513881], Cell[CellGroupData[{ -Cell[7299, 238, 1119, 34, 62, "Input"], -Cell[8421, 274, 2418, 48, 39, "Output", +Cell[7297, 238, 1119, 34, 62, "Input"], +Cell[8419, 274, 2418, 48, 39, "Output", CellTags->"RasterizedOutput", - CellID->1618506410] + CellID->1931915515] }, Open ]], Cell[CellGroupData[{ -Cell[10876, 327, 84, 2, 27, "Input"], -Cell[10963, 331, 166, 5, 35, "Output"] +Cell[10874, 327, 84, 2, 27, "Input"], +Cell[10961, 331, 166, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[11156, 340, 31, 0, 29, "SectionFooterSpacer"] +Cell[11154, 340, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11224, 345, 270, 12, 31, "SeeAlsoSection", +Cell[11222, 345, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11497, 359, 567, 20, 56, "SeeAlso", +Cell[11495, 359, 567, 20, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[12079, 382, 23, 0, 41, "FooterCell"] +Cell[12077, 382, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectFree.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectFree.nb index 9fcb178a1..47886b8d6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectFree.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectFree.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14106, 493] +NotebookDataLength[ 14050, 492] NotebookOptionsPosition[ 8968, 331] -NotebookOutlinePosition[ 12336, 426] -CellTagsIndexPosition[ 12222, 420] +NotebookOutlinePosition[ 12280, 425] +CellTagsIndexPosition[ 12166, 419] WindowTitle->SelectFree WindowFrame->Normal*) @@ -80,7 +80,7 @@ SelectFree.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$228520], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$229537], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SelectFree", ".html"]], None}]}]}, @@ -143,7 +143,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1387947054], + CellID->947072203], Cell[CellGroupData[{ @@ -153,7 +153,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->276496415], + CellID->1408313278], Cell[CellGroupData[{ @@ -344,7 +344,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 33.327293}", + "built" -> "{2020, 6, 20, 19, 10, 17.756832}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -365,8 +365,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -376,9 +375,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4593, 130, 388, 15, 31, "PrimaryExamplesSection", + Cell[4593, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1387947054]}, + CellID->947072203]}, "SelectFree"->{ Cell[5226, 159, 229, 7, 27, "Input", CellTags->"SelectFree", @@ -419,8 +418,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10958, 377}, - {"SelectFree", 11096, 381} + {"PrimaryExamplesSection", 10903, 376}, + {"SelectFree", 11040, 380} } *) (*NotebookFileOutline @@ -431,12 +430,12 @@ Cell[3688, 98, 287, 11, 45, "ObjectNameGrid"], Cell[3978, 111, 590, 15, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4593, 130, 388, 15, 31, "PrimaryExamplesSection", +Cell[4593, 130, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1387947054], + CellID->947072203], Cell[CellGroupData[{ -Cell[5006, 149, 195, 6, 26, "ExampleSection", - CellID->276496415], +Cell[5005, 149, 196, 6, 26, "ExampleSection", + CellID->1408313278], Cell[CellGroupData[{ Cell[5226, 159, 229, 7, 27, "Input", CellTags->"SelectFree", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectGraphs.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectGraphs.nb index 8945ce266..e5ba02e5b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectGraphs.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectGraphs.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7553, 217] +NotebookDataLength[ 7555, 217] NotebookOptionsPosition[ 5172, 156] -NotebookOutlinePosition[ 7346, 209] -CellTagsIndexPosition[ 7303, 206] +NotebookOutlinePosition[ 7348, 209] +CellTagsIndexPosition[ 7305, 206] WindowTitle->SelectGraphs WindowFrame->Normal*) @@ -79,7 +79,7 @@ SelectGraphs.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$228960], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$229977], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SelectGraphs", ".html"]], None}]}]}, @@ -169,7 +169,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 34.410470}", + "built" -> "{2020, 6, 20, 19, 10, 18.845005}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectNotFree.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectNotFree.nb index e1cb04bab..cd2813b63 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectNotFree.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectNotFree.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15584, 547] -NotebookOptionsPosition[ 10172, 376] -NotebookOutlinePosition[ 13484, 470] -CellTagsIndexPosition[ 13367, 464] +NotebookDataLength[ 15531, 546] +NotebookOptionsPosition[ 10173, 376] +NotebookOutlinePosition[ 13430, 469] +CellTagsIndexPosition[ 13313, 463] WindowTitle->SelectNotFree WindowFrame->Normal*) @@ -80,7 +80,7 @@ SelectNotFree.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$229405], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$230422], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SelectNotFree", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->645962762], + CellID->620893306], Cell["", "SectionHeaderSpacer"], @@ -185,7 +185,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1930666558], + CellID->1053383164], Cell[CellGroupData[{ @@ -195,7 +195,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->654434760], + CellID->2060906223], Cell[CellGroupData[{ @@ -377,7 +377,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SelectNotFree", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -389,7 +389,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 35.406203}", + "built" -> "{2020, 6, 20, 19, 10, 19.673827}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -409,8 +409,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -422,49 +421,49 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5666, 172, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1930666558]}, + CellID->1053383164]}, "SelectNotFree"->{ - Cell[6299, 201, 224, 7, 27, "Input", + Cell[6300, 201, 224, 7, 27, "Input", CellTags->"SelectNotFree", CellID->153420744], - Cell[6526, 210, 246, 8, 37, "Output", + Cell[6527, 210, 246, 8, 37, "Output", CellTags->"SelectNotFree"], - Cell[6809, 223, 294, 9, 27, "Input", + Cell[6810, 223, 294, 9, 27, "Input", CellTags->"SelectNotFree", CellID->1797995414], - Cell[7106, 234, 256, 8, 37, "Output", + Cell[7107, 234, 256, 8, 37, "Output", CellTags->"SelectNotFree"], - Cell[7399, 247, 160, 5, 27, "Input", + Cell[7400, 247, 160, 5, 27, "Input", CellTags->"SelectNotFree", CellID->425208057], - Cell[7562, 254, 194, 6, 35, "Output", + Cell[7563, 254, 194, 6, 35, "Output", CellTags->"SelectNotFree"], - Cell[7793, 265, 185, 6, 27, "Input", + Cell[7794, 265, 185, 6, 27, "Input", CellTags->"SelectNotFree", CellID->1246254585], - Cell[7981, 273, 194, 6, 35, "Output", + Cell[7982, 273, 194, 6, 35, "Output", CellTags->"SelectNotFree"], - Cell[8212, 284, 161, 5, 27, "Input", + Cell[8213, 284, 161, 5, 27, "Input", CellTags->"SelectNotFree", CellID->2055901328], - Cell[8376, 291, 194, 6, 35, "Output", + Cell[8377, 291, 194, 6, 35, "Output", CellTags->"SelectNotFree"], - Cell[8607, 302, 161, 5, 27, "Input", + Cell[8608, 302, 161, 5, 27, "Input", CellTags->"SelectNotFree", CellID->1090066922], - Cell[8771, 309, 194, 6, 35, "Output", + Cell[8772, 309, 194, 6, 35, "Output", CellTags->"SelectNotFree"], - Cell[9002, 320, 189, 6, 27, "Input", + Cell[9003, 320, 189, 6, 27, "Input", CellTags->"SelectNotFree", CellID->803164089], - Cell[9194, 328, 222, 7, 37, "Output", + Cell[9195, 328, 222, 7, 37, "Output", CellTags->"SelectNotFree"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12057, 421}, - {"SelectNotFree", 12198, 425} + {"PrimaryExamplesSection", 12003, 420}, + {"SelectNotFree", 12144, 424} } *) (*NotebookFileOutline @@ -478,7 +477,7 @@ Cell[4012, 113, 541, 16, 85, "Usage", Cell[CellGroupData[{ Cell[4578, 133, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->645962762], + CellID->620893306], Cell[5319, 159, 31, 0, 70, "SectionHeaderSpacer"], Cell[5353, 161, 264, 5, 70, "Notes", CellID->1067943069] @@ -487,68 +486,68 @@ Cell[5353, 161, 264, 5, 70, "Notes", Cell[CellGroupData[{ Cell[5666, 172, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1930666558], + CellID->1053383164], Cell[CellGroupData[{ -Cell[6079, 191, 195, 6, 26, "ExampleSection", - CellID->654434760], +Cell[6079, 191, 196, 6, 26, "ExampleSection", + CellID->2060906223], Cell[CellGroupData[{ -Cell[6299, 201, 224, 7, 27, "Input", +Cell[6300, 201, 224, 7, 27, "Input", CellTags->"SelectNotFree", CellID->153420744], -Cell[6526, 210, 246, 8, 37, "Output", +Cell[6527, 210, 246, 8, 37, "Output", CellTags->"SelectNotFree"] }, Open ]], Cell[CellGroupData[{ -Cell[6809, 223, 294, 9, 27, "Input", +Cell[6810, 223, 294, 9, 27, "Input", CellTags->"SelectNotFree", CellID->1797995414], -Cell[7106, 234, 256, 8, 37, "Output", +Cell[7107, 234, 256, 8, 37, "Output", CellTags->"SelectNotFree"] }, Open ]], Cell[CellGroupData[{ -Cell[7399, 247, 160, 5, 27, "Input", +Cell[7400, 247, 160, 5, 27, "Input", CellTags->"SelectNotFree", CellID->425208057], -Cell[7562, 254, 194, 6, 35, "Output", +Cell[7563, 254, 194, 6, 35, "Output", CellTags->"SelectNotFree"] }, Open ]], Cell[CellGroupData[{ -Cell[7793, 265, 185, 6, 27, "Input", +Cell[7794, 265, 185, 6, 27, "Input", CellTags->"SelectNotFree", CellID->1246254585], -Cell[7981, 273, 194, 6, 35, "Output", +Cell[7982, 273, 194, 6, 35, "Output", CellTags->"SelectNotFree"] }, Open ]], Cell[CellGroupData[{ -Cell[8212, 284, 161, 5, 27, "Input", +Cell[8213, 284, 161, 5, 27, "Input", CellTags->"SelectNotFree", CellID->2055901328], -Cell[8376, 291, 194, 6, 35, "Output", +Cell[8377, 291, 194, 6, 35, "Output", CellTags->"SelectNotFree"] }, Open ]], Cell[CellGroupData[{ -Cell[8607, 302, 161, 5, 27, "Input", +Cell[8608, 302, 161, 5, 27, "Input", CellTags->"SelectNotFree", CellID->1090066922], -Cell[8771, 309, 194, 6, 35, "Output", +Cell[8772, 309, 194, 6, 35, "Output", CellTags->"SelectNotFree"] }, Open ]], Cell[CellGroupData[{ -Cell[9002, 320, 189, 6, 27, "Input", +Cell[9003, 320, 189, 6, 27, "Input", CellTags->"SelectNotFree", CellID->803164089], -Cell[9194, 328, 222, 7, 37, "Output", +Cell[9195, 328, 222, 7, 37, "Output", CellTags->"SelectNotFree"] }, Open ]] }, Open ]], -Cell[9443, 339, 31, 0, 29, "SectionFooterSpacer"] +Cell[9444, 339, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9511, 344, 270, 12, 31, "SeeAlsoSection", +Cell[9512, 344, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9784, 358, 346, 13, 56, "SeeAlso"] +Cell[9785, 358, 346, 13, 56, "SeeAlso"] }, Open ]], -Cell[10145, 374, 23, 0, 41, "FooterCell"] +Cell[10146, 374, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectSplit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectSplit.nb index e51e08a10..8caadbc54 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectSplit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SelectSplit.nb @@ -10,8 +10,8 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10390, 338] -NotebookOptionsPosition[ 7179, 243] +NotebookDataLength[ 10389, 338] +NotebookOptionsPosition[ 7178, 243] NotebookOutlinePosition[ 9709, 312] CellTagsIndexPosition[ 9596, 306] WindowTitle->SelectSplit @@ -59,7 +59,7 @@ SelectSplit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$229845], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$230862], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SelectSplit", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1354756641], + CellID->757062468], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->221507416], + CellID->294954281], Cell[CellGroupData[{ @@ -244,7 +244,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"SelectSplit", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -256,7 +256,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 36.542062}", + "built" -> "{2020, 6, 20, 19, 10, 20.756404}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -287,25 +287,25 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3749, 108, 388, 15, 31, "PrimaryExamplesSection", + Cell[3749, 108, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1354756641]}, + CellID->757062468]}, "SelectSplit"->{ - Cell[4382, 137, 822, 27, 53, "Input", + Cell[4381, 137, 822, 27, 53, "Input", CellTags->"SelectSplit", CellID->1220131740], - Cell[5207, 166, 617, 22, 43, "Output", + Cell[5206, 166, 617, 22, 43, "Output", CellTags->"SelectSplit"], - Cell[5861, 193, 669, 22, 53, "Input", + Cell[5860, 193, 669, 22, 53, "Input", CellTags->"SelectSplit", CellID->292281216], - Cell[6533, 217, 580, 19, 43, "Output", + Cell[6532, 217, 580, 19, 43, "Output", CellTags->"SelectSplit"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9110, 288}, + {"PrimaryExamplesSection", 9111, 288}, {"SelectSplit", 9249, 292} } *) @@ -317,29 +317,29 @@ Cell[2872, 76, 288, 11, 45, "ObjectNameGrid"], Cell[3163, 89, 561, 15, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3749, 108, 388, 15, 31, "PrimaryExamplesSection", +Cell[3749, 108, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1354756641], + CellID->757062468], Cell[CellGroupData[{ -Cell[4162, 127, 195, 6, 26, "ExampleSection", - CellID->221507416], +Cell[4161, 127, 195, 6, 26, "ExampleSection", + CellID->294954281], Cell[CellGroupData[{ -Cell[4382, 137, 822, 27, 53, "Input", +Cell[4381, 137, 822, 27, 53, "Input", CellTags->"SelectSplit", CellID->1220131740], -Cell[5207, 166, 617, 22, 43, "Output", +Cell[5206, 166, 617, 22, 43, "Output", CellTags->"SelectSplit"] }, Open ]], Cell[CellGroupData[{ -Cell[5861, 193, 669, 22, 53, "Input", +Cell[5860, 193, 669, 22, 53, "Input", CellTags->"SelectSplit", CellID->292281216], -Cell[6533, 217, 580, 19, 43, "Output", +Cell[6532, 217, 580, 19, 43, "Output", CellTags->"SelectSplit"] }, Open ]] }, Open ]] }, Open ]], -Cell[7152, 241, 23, 0, 41, "FooterCell"] +Cell[7151, 241, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Series2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Series2.nb index cc4f0bca8..32cc99eb5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Series2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Series2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 26379, 933] +NotebookDataLength[ 26380, 933] NotebookOptionsPosition[ 19839, 719] -NotebookOutlinePosition[ 23808, 834] -CellTagsIndexPosition[ 23697, 828] +NotebookOutlinePosition[ 23809, 834] +CellTagsIndexPosition[ 23698, 828] WindowTitle->Series2 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$230275], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$231292], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Series2", ".html"]], None}]}]}, @@ -134,7 +134,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->284019266], + CellID->1757899919], Cell["", "SectionHeaderSpacer"], @@ -185,7 +185,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1304305929], + CellID->263454173], Cell[CellGroupData[{ @@ -195,7 +195,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1549648249], + CellID->1819403963], Cell[CellGroupData[{ @@ -720,7 +720,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Series2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -732,7 +732,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 37.652259}", + "built" -> "{2020, 6, 20, 19, 10, 21.688866}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -764,10 +764,10 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Series2"->{ - Cell[4625, 142, 132, 4, 70, "Input", + Cell[4626, 142, 132, 4, 27, "Input", CellTags->"Series2", CellID->1435843837], - Cell[4760, 148, 564, 17, 37, "Output", + Cell[4761, 148, 564, 17, 37, "Output", CellTags->"Series2"], Cell[6019, 201, 356, 13, 27, "Input", CellTags->"Series2", @@ -820,15 +820,15 @@ CellTagsIndex->{ Cell[16239, 591, 3201, 109, 143, "Output", CellTags->"Series2"]}, "PrimaryExamplesSection"->{ - Cell[5385, 172, 388, 15, 31, "PrimaryExamplesSection", + Cell[5386, 172, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1304305929]} + CellID->263454173]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Series2", 21825, 765}, - {"PrimaryExamplesSection", 23553, 821} + {"Series2", 21827, 765}, + {"PrimaryExamplesSection", 23555, 821} } *) (*NotebookFileOutline @@ -840,26 +840,26 @@ Cell[CellGroupData[{ Cell[3160, 91, 643, 17, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3828, 112, 738, 24, 31, "NotesSection", +Cell[3828, 112, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->284019266], -Cell[4569, 138, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1757899919], +Cell[4570, 138, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4625, 142, 132, 4, 70, "Input", +Cell[4626, 142, 132, 4, 27, "Input", CellTags->"Series2", CellID->1435843837], -Cell[4760, 148, 564, 17, 37, "Output", +Cell[4761, 148, 564, 17, 37, "Output", CellTags->"Series2"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5385, 172, 388, 15, 31, "PrimaryExamplesSection", +Cell[5386, 172, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1304305929], + CellID->263454173], Cell[CellGroupData[{ Cell[5798, 191, 196, 6, 26, "ExampleSection", - CellID->1549648249], + CellID->1819403963], Cell[CellGroupData[{ Cell[6019, 201, 356, 13, 27, "Input", CellTags->"Series2", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Series3.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Series3.nb index 098a5a219..d9bc982b3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Series3.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Series3.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12373, 426] -NotebookOptionsPosition[ 8346, 302] -NotebookOutlinePosition[ 11089, 378] -CellTagsIndexPosition[ 10978, 372] +NotebookDataLength[ 12378, 426] +NotebookOptionsPosition[ 8347, 302] +NotebookOutlinePosition[ 11093, 378] +CellTagsIndexPosition[ 10982, 372] WindowTitle->Series3 WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$230713], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$231730], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Series3", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1513618515], + CellID->1037036278], Cell["", "SectionHeaderSpacer"], @@ -197,7 +197,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->621930810], + CellID->1488803807], Cell[CellGroupData[{ @@ -207,7 +207,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1483141090], + CellID->1428059129], Cell[CellGroupData[{ @@ -315,7 +315,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 38.824811}", + "built" -> "{2020, 6, 20, 19, 10, 22.855488}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -353,26 +353,26 @@ CellTagsIndex->{ Cell[5367, 165, 368, 12, 37, "Output", CellTags->"Series3", CellID->2070948847], - Cell[6429, 213, 357, 13, 27, "Input", + Cell[6430, 213, 357, 13, 27, "Input", CellTags->"Series3", CellID->1953540257], - Cell[6789, 228, 392, 14, 56, "Output", + Cell[6790, 228, 392, 14, 56, "Output", CellTags->"Series3"], - Cell[7218, 247, 232, 8, 27, "Input", + Cell[7219, 247, 232, 8, 27, "Input", CellTags->"Series3", CellID->1278931466], - Cell[7453, 257, 299, 10, 56, "Output", + Cell[7454, 257, 299, 10, 56, "Output", CellTags->"Series3"]}, "PrimaryExamplesSection"->{ - Cell[5796, 184, 387, 15, 31, "PrimaryExamplesSection", + Cell[5796, 184, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->621930810]} + CellID->1488803807]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Series3", 10323, 348}, - {"PrimaryExamplesSection", 10835, 365} + {"Series3", 10326, 348}, + {"PrimaryExamplesSection", 10838, 365} } *) (*NotebookFileOutline @@ -386,7 +386,7 @@ Cell[3887, 112, 523, 13, 102, "Usage", Cell[CellGroupData[{ Cell[4435, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1513618515], + CellID->1037036278], Cell[5177, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5233, 159, 131, 4, 70, "Input", @@ -399,35 +399,35 @@ Cell[5367, 165, 368, 12, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5796, 184, 387, 15, 31, "PrimaryExamplesSection", +Cell[5796, 184, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->621930810], + CellID->1488803807], Cell[CellGroupData[{ -Cell[6208, 203, 196, 6, 26, "ExampleSection", - CellID->1483141090], +Cell[6209, 203, 196, 6, 26, "ExampleSection", + CellID->1428059129], Cell[CellGroupData[{ -Cell[6429, 213, 357, 13, 27, "Input", +Cell[6430, 213, 357, 13, 27, "Input", CellTags->"Series3", CellID->1953540257], -Cell[6789, 228, 392, 14, 56, "Output", +Cell[6790, 228, 392, 14, 56, "Output", CellTags->"Series3"] }, Open ]], Cell[CellGroupData[{ -Cell[7218, 247, 232, 8, 27, "Input", +Cell[7219, 247, 232, 8, 27, "Input", CellTags->"Series3", CellID->1278931466], -Cell[7453, 257, 299, 10, 56, "Output", +Cell[7454, 257, 299, 10, 56, "Output", CellTags->"Series3"] }, Open ]] }, Open ]], -Cell[7779, 271, 31, 0, 29, "SectionFooterSpacer"] +Cell[7780, 271, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[7847, 276, 270, 12, 31, "SeeAlsoSection", +Cell[7848, 276, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8120, 290, 184, 7, 56, "SeeAlso"] +Cell[8121, 290, 184, 7, 56, "SeeAlso"] }, Open ]], -Cell[8319, 300, 23, 0, 41, "FooterCell"] +Cell[8320, 300, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SetMandelstam.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SetMandelstam.nb index c179d3485..89dd36edb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SetMandelstam.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SetMandelstam.nb @@ -10,8 +10,8 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 38408, 1310] -NotebookOptionsPosition[ 34465, 1195] +NotebookDataLength[ 38407, 1310] +NotebookOptionsPosition[ 34464, 1195] NotebookOutlinePosition[ 36706, 1253] CellTagsIndexPosition[ 36620, 1248] WindowTitle->SetMandelstam @@ -79,7 +79,7 @@ SetMandelstam.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$231155], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$232172], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SetMandelstam", ".html"]], None}]}]}, @@ -218,7 +218,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1403689137], + CellID->1686696713], Cell["", "SectionHeaderSpacer"], @@ -234,7 +234,7 @@ Cell[BoxData[ RowBox[{"Dimension", "\[Rule]", RowBox[{"{", RowBox[{"4", ",", "D"}], "}"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{142, 14}, + ImageSize->{142, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[23]="] @@ -259,7 +259,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1891061268], + CellID->572489121], Cell[CellGroupData[{ @@ -269,7 +269,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->788890342], + CellID->769218739], Cell["\<\ SetMandelstam assumes all momenta to be ingoing. For scattering processes \ @@ -1208,7 +1208,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 40.002474}", + "built" -> "{2020, 6, 20, 19, 10, 23.922521}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1240,14 +1240,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7710, 246, 388, 15, 31, "PrimaryExamplesSection", + Cell[7710, 246, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1891061268]} + CellID->572489121]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 36476, 1241} + {"PrimaryExamplesSection", 36477, 1241} } *) (*NotebookFileOutline @@ -1261,57 +1261,57 @@ Cell[3930, 112, 2517, 80, 118, "Usage", Cell[CellGroupData[{ Cell[6472, 196, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1403689137], -Cell[7214, 222, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1686696713], +Cell[7214, 222, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[7270, 226, 96, 2, 70, "Input"], -Cell[7369, 230, 280, 9, 35, "Output"] +Cell[7270, 226, 96, 2, 27, "Input"], +Cell[7369, 230, 280, 9, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7710, 246, 388, 15, 31, "PrimaryExamplesSection", +Cell[7710, 246, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1891061268], + CellID->572489121], Cell[CellGroupData[{ -Cell[8123, 265, 195, 6, 26, "ExampleSection", - CellID->788890342], -Cell[8321, 273, 176, 3, 49, "Notes"], -Cell[8500, 278, 92, 2, 27, "Input"], +Cell[8122, 265, 195, 6, 26, "ExampleSection", + CellID->769218739], +Cell[8320, 273, 176, 3, 49, "Notes"], +Cell[8499, 278, 92, 2, 27, "Input"], Cell[CellGroupData[{ -Cell[8617, 284, 251, 6, 27, "Input"], -Cell[8871, 292, 5751, 187, 53, "Output"] +Cell[8616, 284, 251, 6, 27, "Input"], +Cell[8870, 292, 5751, 187, 53, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[14659, 484, 267, 7, 62, "Input"], -Cell[14929, 493, 341, 12, 59, "Output"], -Cell[15273, 507, 320, 11, 59, "Output"], -Cell[15596, 520, 320, 11, 59, "Output"] +Cell[14658, 484, 267, 7, 62, "Input"], +Cell[14928, 493, 341, 12, 59, "Output"], +Cell[15272, 507, 320, 11, 59, "Output"], +Cell[15595, 520, 320, 11, 59, "Output"] }, Open ]], -Cell[15931, 534, 143, 3, 49, "Notes"], +Cell[15930, 534, 143, 3, 49, "Notes"], Cell[CellGroupData[{ -Cell[16099, 541, 188, 5, 45, "Input"], -Cell[16290, 548, 341, 12, 59, "Output"], -Cell[16634, 562, 320, 11, 59, "Output"] +Cell[16098, 541, 188, 5, 45, "Input"], +Cell[16289, 548, 341, 12, 59, "Output"], +Cell[16633, 562, 320, 11, 59, "Output"] }, Open ]], -Cell[16969, 576, 146, 3, 49, "Notes"], +Cell[16968, 576, 146, 3, 49, "Notes"], Cell[CellGroupData[{ -Cell[17140, 583, 531, 15, 45, "Input"], -Cell[17674, 600, 15643, 536, 1319, "Output"] +Cell[17139, 583, 531, 15, 45, "Input"], +Cell[17673, 600, 15643, 536, 1319, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[33354, 1141, 104, 3, 27, "Input"], -Cell[33461, 1146, 401, 14, 59, "Output"] +Cell[33353, 1141, 104, 3, 27, "Input"], +Cell[33460, 1146, 401, 14, 59, "Output"] }, Open ]] }, Open ]], -Cell[33889, 1164, 31, 0, 29, "SectionFooterSpacer"] +Cell[33888, 1164, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[33957, 1169, 270, 12, 31, "SeeAlsoSection", +Cell[33956, 1169, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[34230, 1183, 193, 7, 56, "SeeAlso"] +Cell[34229, 1183, 193, 7, 56, "SeeAlso"] }, Open ]], -Cell[34438, 1193, 23, 0, 41, "FooterCell"] +Cell[34437, 1193, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SetTemporalComponent.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SetTemporalComponent.nb index 71b3d4f86..ba952d66b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SetTemporalComponent.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SetTemporalComponent.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8638, 283] -NotebookOptionsPosition[ 5646, 195] -NotebookOutlinePosition[ 7851, 253] -CellTagsIndexPosition[ 7767, 248] +NotebookDataLength[ 8588, 282] +NotebookOptionsPosition[ 5648, 195] +NotebookOutlinePosition[ 7799, 252] +CellTagsIndexPosition[ 7715, 247] WindowTitle->SetTemporalComponent WindowFrame->Normal*) @@ -59,7 +59,7 @@ SetTemporalComponent.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$231593], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$232610], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SetTemporalComponent", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->417437835], + CellID->1715414497], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->620081943], + CellID->2040563108], Cell[BoxData[ RowBox[{"FCClearScalarProducts", "[", "]"}]], "Input", @@ -195,8 +195,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SetTemporalComponent", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -208,7 +208,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 41.224541}", + "built" -> "{2020, 6, 20, 19, 10, 25.168762}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -229,8 +229,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -240,14 +239,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3743, 106, 387, 15, 31, "PrimaryExamplesSection", + Cell[3743, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->417437835]} + CellID->1715414497]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7624, 241} + {"PrimaryExamplesSection", 7571, 240} } *) (*NotebookFileOutline @@ -255,36 +254,36 @@ Notebook[{ Cell[592, 21, 2322, 53, 53, "AnchorBarGrid", CellID->1], Cell[2917, 76, 297, 11, 45, "ObjectNameGrid"], -Cell[3217, 89, 501, 13, 101, "Usage", +Cell[3217, 89, 501, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3743, 106, 387, 15, 31, "PrimaryExamplesSection", +Cell[3743, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->417437835], + CellID->1715414497], Cell[CellGroupData[{ -Cell[4155, 125, 195, 6, 26, "ExampleSection", - CellID->620081943], -Cell[4353, 133, 112, 3, 27, "Input", +Cell[4156, 125, 196, 6, 26, "ExampleSection", + CellID->2040563108], +Cell[4355, 133, 112, 3, 27, "Input", CellID->871413818], -Cell[4468, 138, 104, 3, 27, "Input", +Cell[4470, 138, 104, 3, 27, "Input", CellID->257885032], -Cell[4575, 143, 140, 4, 27, "Input", +Cell[4577, 143, 140, 4, 27, "Input", CellID->2002104407], Cell[CellGroupData[{ -Cell[4740, 151, 98, 3, 27, "Input", +Cell[4742, 151, 98, 3, 27, "Input", CellID->138481225], -Cell[4841, 156, 186, 6, 35, "Output", +Cell[4843, 156, 186, 6, 35, "Output", CellID->128418288] }, Open ]], Cell[CellGroupData[{ -Cell[5064, 167, 164, 5, 27, "Input", +Cell[5066, 167, 164, 5, 27, "Input", CellID->504738512], -Cell[5231, 174, 349, 14, 39, "Output", +Cell[5233, 174, 349, 14, 39, "Output", CellID->1433132368] }, Open ]] }, Open ]] }, Open ]], -Cell[5619, 193, 23, 0, 41, "FooterCell"] +Cell[5621, 193, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Simplify2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Simplify2.nb index cf696854d..008822651 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Simplify2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Simplify2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5579, 158] +NotebookDataLength[ 5581, 158] NotebookOptionsPosition[ 3650, 106] -NotebookOutlinePosition[ 5515, 155] -CellTagsIndexPosition[ 5472, 152] +NotebookOutlinePosition[ 5517, 155] +CellTagsIndexPosition[ 5474, 152] WindowTitle->Simplify2 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$233337], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$234354], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Simplify2", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 45.613094}", + "built" -> "{2020, 6, 20, 19, 10, 29.262655}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyDeltaFunction.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyDeltaFunction.nb index a7231d19d..87e7ac0ce 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyDeltaFunction.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyDeltaFunction.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21649, 747] -NotebookOptionsPosition[ 14155, 524] -NotebookOutlinePosition[ 18687, 645] -CellTagsIndexPosition[ 18562, 639] +NotebookDataLength[ 21593, 746] +NotebookOptionsPosition[ 14154, 524] +NotebookOutlinePosition[ 18632, 644] +CellTagsIndexPosition[ 18507, 638] WindowTitle->SimplifyDeltaFunction WindowFrame->Normal*) @@ -81,7 +81,7 @@ SimplifyDeltaFunction.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$233775], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$234792], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SimplifyDeltaFunction", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->195701692], + CellID->52818696], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1321573759], + CellID->1122255088], Cell[CellGroupData[{ @@ -525,7 +525,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"SimplifyDeltaFunction", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -537,7 +537,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 46.629198}", + "built" -> "{2020, 6, 20, 19, 10, 30.094563}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -559,8 +559,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -570,76 +569,76 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4699, 131, 387, 15, 31, "PrimaryExamplesSection", + Cell[4699, 131, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->195701692]}, + CellID->52818696]}, "SimplifyDeltaFunction"->{ - Cell[5332, 160, 220, 7, 27, "Input", + Cell[5331, 160, 220, 7, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->341273603], - Cell[5555, 169, 352, 12, 37, "Output", + Cell[5554, 169, 352, 12, 37, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[5944, 186, 181, 5, 27, "Input", + Cell[5943, 186, 181, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->197548510], - Cell[6128, 193, 477, 16, 53, "Output", + Cell[6127, 193, 477, 16, 53, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[6642, 214, 221, 7, 27, "Input", + Cell[6641, 214, 221, 7, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1890191905], - Cell[6866, 223, 386, 13, 37, "Output", + Cell[6865, 223, 386, 13, 37, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[7289, 241, 182, 5, 27, "Input", + Cell[7288, 241, 182, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1317091871], - Cell[7474, 248, 897, 30, 53, "Output", + Cell[7473, 248, 897, 30, 53, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[8408, 283, 237, 7, 27, "Input", + Cell[8407, 283, 237, 7, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->160707751], - Cell[8648, 292, 398, 13, 37, "Output", + Cell[8647, 292, 398, 13, 37, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[9083, 310, 181, 5, 27, "Input", + Cell[9082, 310, 181, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->954894660], - Cell[9267, 317, 296, 10, 37, "Output", + Cell[9266, 317, 296, 10, 37, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[9600, 332, 280, 9, 27, "Input", + Cell[9599, 332, 280, 9, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->962444267], - Cell[9883, 343, 415, 14, 37, "Output", + Cell[9882, 343, 415, 14, 37, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[10335, 362, 181, 5, 27, "Input", + Cell[10334, 362, 181, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->523290366], - Cell[10519, 369, 318, 11, 37, "Output", + Cell[10518, 369, 318, 11, 37, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[10874, 385, 316, 10, 27, "Input", + Cell[10873, 385, 316, 10, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1418492585], - Cell[11193, 397, 456, 15, 37, "Output", + Cell[11192, 397, 456, 15, 37, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[11686, 417, 182, 5, 27, "Input", + Cell[11685, 417, 182, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->591675657], - Cell[11871, 424, 203, 6, 35, "Output", + Cell[11870, 424, 203, 6, 35, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[12111, 435, 282, 9, 27, "Input", + Cell[12110, 435, 282, 9, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1446102124], - Cell[12396, 446, 416, 14, 37, "Output", + Cell[12395, 446, 416, 14, 37, "Output", CellTags->"SimplifyDeltaFunction"], - Cell[12849, 465, 183, 5, 27, "Input", + Cell[12848, 465, 183, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1325762264], - Cell[13035, 472, 319, 11, 37, "Output", + Cell[13034, 472, 319, 11, 37, "Output", CellTags->"SimplifyDeltaFunction"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16215, 571}, - {"SimplifyDeltaFunction", 16363, 575} + {"PrimaryExamplesSection", 16161, 570}, + {"SimplifyDeltaFunction", 16308, 574} } *) (*NotebookFileOutline @@ -650,105 +649,105 @@ Cell[3775, 99, 298, 11, 45, "ObjectNameGrid"], Cell[4076, 112, 598, 15, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4699, 131, 387, 15, 31, "PrimaryExamplesSection", +Cell[4699, 131, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->195701692], + CellID->52818696], Cell[CellGroupData[{ -Cell[5111, 150, 196, 6, 26, "ExampleSection", - CellID->1321573759], +Cell[5110, 150, 196, 6, 26, "ExampleSection", + CellID->1122255088], Cell[CellGroupData[{ -Cell[5332, 160, 220, 7, 27, "Input", +Cell[5331, 160, 220, 7, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->341273603], -Cell[5555, 169, 352, 12, 37, "Output", +Cell[5554, 169, 352, 12, 37, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[5944, 186, 181, 5, 27, "Input", +Cell[5943, 186, 181, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->197548510], -Cell[6128, 193, 477, 16, 53, "Output", +Cell[6127, 193, 477, 16, 53, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[6642, 214, 221, 7, 27, "Input", +Cell[6641, 214, 221, 7, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1890191905], -Cell[6866, 223, 386, 13, 37, "Output", +Cell[6865, 223, 386, 13, 37, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[7289, 241, 182, 5, 27, "Input", +Cell[7288, 241, 182, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1317091871], -Cell[7474, 248, 897, 30, 53, "Output", +Cell[7473, 248, 897, 30, 53, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[8408, 283, 237, 7, 27, "Input", +Cell[8407, 283, 237, 7, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->160707751], -Cell[8648, 292, 398, 13, 37, "Output", +Cell[8647, 292, 398, 13, 37, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[9083, 310, 181, 5, 27, "Input", +Cell[9082, 310, 181, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->954894660], -Cell[9267, 317, 296, 10, 37, "Output", +Cell[9266, 317, 296, 10, 37, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[9600, 332, 280, 9, 27, "Input", +Cell[9599, 332, 280, 9, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->962444267], -Cell[9883, 343, 415, 14, 37, "Output", +Cell[9882, 343, 415, 14, 37, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[10335, 362, 181, 5, 27, "Input", +Cell[10334, 362, 181, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->523290366], -Cell[10519, 369, 318, 11, 37, "Output", +Cell[10518, 369, 318, 11, 37, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[10874, 385, 316, 10, 27, "Input", +Cell[10873, 385, 316, 10, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1418492585], -Cell[11193, 397, 456, 15, 37, "Output", +Cell[11192, 397, 456, 15, 37, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[11686, 417, 182, 5, 27, "Input", +Cell[11685, 417, 182, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->591675657], -Cell[11871, 424, 203, 6, 35, "Output", +Cell[11870, 424, 203, 6, 35, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[12111, 435, 282, 9, 27, "Input", +Cell[12110, 435, 282, 9, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1446102124], -Cell[12396, 446, 416, 14, 37, "Output", +Cell[12395, 446, 416, 14, 37, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[12849, 465, 183, 5, 27, "Input", +Cell[12848, 465, 183, 5, 27, "Input", CellTags->"SimplifyDeltaFunction", CellID->1325762264], -Cell[13035, 472, 319, 11, 37, "Output", +Cell[13034, 472, 319, 11, 37, "Output", CellTags->"SimplifyDeltaFunction"] }, Open ]] }, Open ]], -Cell[13381, 487, 31, 0, 29, "SectionFooterSpacer"] +Cell[13380, 487, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[13449, 492, 270, 12, 31, "SeeAlsoSection", +Cell[13448, 492, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13722, 506, 391, 13, 56, "SeeAlso"] +Cell[13721, 506, 391, 13, 56, "SeeAlso"] }, Open ]], -Cell[14128, 522, 23, 0, 41, "FooterCell"] +Cell[14127, 522, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyGTI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyGTI.nb index f5b6a54c7..9a4f9a920 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyGTI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyGTI.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6690, 206] +NotebookDataLength[ 6692, 206] NotebookOptionsPosition[ 4725, 151] -NotebookOutlinePosition[ 6483, 198] -CellTagsIndexPosition[ 6440, 195] +NotebookOutlinePosition[ 6485, 198] +CellTagsIndexPosition[ 6442, 195] WindowTitle->SimplifyGTI WindowFrame->Normal*) @@ -79,7 +79,7 @@ SimplifyGTI.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$234220], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$235237], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SimplifyGTI", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 47.712961}", + "built" -> "{2020, 6, 20, 19, 10, 31.164758}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyPolyLog.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyPolyLog.nb index 5bc26944c..7c93f9539 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyPolyLog.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SimplifyPolyLog.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 35418, 1284] -NotebookOptionsPosition[ 25745, 978] -NotebookOutlinePosition[ 31245, 1134] -CellTagsIndexPosition[ 31124, 1128] +NotebookDataLength[ 35361, 1283] +NotebookOptionsPosition[ 25744, 978] +NotebookOutlinePosition[ 31189, 1133] +CellTagsIndexPosition[ 31068, 1127] WindowTitle->SimplifyPolyLog WindowFrame->Normal*) @@ -79,7 +79,7 @@ SimplifyPolyLog.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$234662], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$235679], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SimplifyPolyLog", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->284460771], + CellID->243207112], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1751609327], + CellID->277238363], Cell[BoxData[ RowBox[{ @@ -991,7 +991,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 48.766781}", + "built" -> "{2020, 6, 20, 19, 10, 32.018223}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1012,8 +1012,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1025,110 +1024,110 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4415, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->284460771]}, + CellID->243207112]}, "SimplifyPolyLog"->{ - Cell[5026, 154, 241, 7, 29, "Input", + Cell[5025, 154, 241, 7, 29, "Input", CellTags->"SimplifyPolyLog", CellID->258376485], - Cell[5292, 165, 212, 7, 27, "Input", + Cell[5291, 165, 212, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->312810151], - Cell[5507, 174, 749, 23, 57, "Output", + Cell[5506, 174, 749, 23, 57, "Output", CellTags->"SimplifyPolyLog"], - Cell[6293, 202, 187, 6, 27, "Input", + Cell[6292, 202, 187, 6, 27, "Input", CellTags->"SimplifyPolyLog", CellID->533586750], - Cell[6483, 210, 517, 17, 37, "Output", + Cell[6482, 210, 517, 17, 37, "Output", CellTags->"SimplifyPolyLog"], - Cell[7037, 232, 239, 8, 27, "Input", + Cell[7036, 232, 239, 8, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1083087116], - Cell[7279, 242, 716, 23, 42, "Output", + Cell[7278, 242, 716, 23, 42, "Output", CellTags->"SimplifyPolyLog"], - Cell[8032, 270, 212, 7, 27, "Input", + Cell[8031, 270, 212, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->273399044], - Cell[8247, 279, 693, 22, 42, "Output", + Cell[8246, 279, 693, 22, 42, "Output", CellTags->"SimplifyPolyLog"], - Cell[8977, 306, 289, 10, 27, "Input", + Cell[8976, 306, 289, 10, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1780815312], - Cell[9269, 318, 755, 25, 56, "Output", + Cell[9268, 318, 755, 25, 56, "Output", CellTags->"SimplifyPolyLog"], - Cell[10061, 348, 265, 9, 27, "Input", + Cell[10060, 348, 265, 9, 27, "Input", CellTags->"SimplifyPolyLog", CellID->189309767], - Cell[10329, 359, 730, 24, 56, "Output", + Cell[10328, 359, 730, 24, 56, "Output", CellTags->"SimplifyPolyLog"], - Cell[11096, 388, 299, 10, 27, "Input", + Cell[11095, 388, 299, 10, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1734664877], - Cell[11398, 400, 855, 34, 56, "Output", + Cell[11397, 400, 855, 34, 56, "Output", CellTags->"SimplifyPolyLog"], - Cell[12290, 439, 233, 8, 27, "Input", + Cell[12289, 439, 233, 8, 27, "Input", CellTags->"SimplifyPolyLog", CellID->128811971], - Cell[12526, 449, 581, 20, 60, "Output", + Cell[12525, 449, 581, 20, 60, "Output", CellTags->"SimplifyPolyLog"], - Cell[13144, 474, 213, 7, 27, "Input", + Cell[13143, 474, 213, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->919109136], - Cell[13360, 483, 200, 6, 35, "Output", + Cell[13359, 483, 200, 6, 35, "Output", CellTags->"SimplifyPolyLog"], - Cell[13597, 494, 213, 7, 27, "Input", + Cell[13596, 494, 213, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->418960340], - Cell[13813, 503, 1149, 39, 64, "Output", + Cell[13812, 503, 1149, 39, 64, "Output", CellTags->"SimplifyPolyLog"], - Cell[14999, 547, 290, 10, 27, "Input", + Cell[14998, 547, 290, 10, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1663942518], - Cell[15292, 559, 1566, 53, 95, "Output", + Cell[15291, 559, 1566, 53, 95, "Output", CellTags->"SimplifyPolyLog"], - Cell[16895, 617, 240, 8, 27, "Input", + Cell[16894, 617, 240, 8, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1897345533], - Cell[17138, 627, 1379, 50, 101, "Output", + Cell[17137, 627, 1379, 50, 101, "Output", CellTags->"SimplifyPolyLog"], - Cell[18554, 682, 290, 10, 27, "Input", + Cell[18553, 682, 290, 10, 27, "Input", CellTags->"SimplifyPolyLog", CellID->2143666635], - Cell[18847, 694, 2943, 105, 160, "Output", + Cell[18846, 694, 2943, 105, 160, "Output", CellTags->"SimplifyPolyLog"], - Cell[21827, 804, 210, 7, 27, "Input", + Cell[21826, 804, 210, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1854005981], - Cell[22040, 813, 422, 15, 57, "Output", + Cell[22039, 813, 422, 15, 57, "Output", CellTags->"SimplifyPolyLog"], - Cell[22499, 833, 185, 6, 27, "Input", + Cell[22498, 833, 185, 6, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1150742435], - Cell[22687, 841, 337, 11, 57, "Output", + Cell[22686, 841, 337, 11, 57, "Output", CellTags->"SimplifyPolyLog"], - Cell[23061, 857, 165, 5, 27, "Input", + Cell[23060, 857, 165, 5, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1515894413], - Cell[23229, 864, 492, 17, 57, "Output", + Cell[23228, 864, 492, 17, 57, "Output", CellTags->"SimplifyPolyLog"], - Cell[23758, 886, 165, 5, 27, "Input", + Cell[23757, 886, 165, 5, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1072815012], - Cell[23926, 893, 441, 16, 54, "Output", + Cell[23925, 893, 441, 16, 54, "Output", CellTags->"SimplifyPolyLog"], - Cell[24404, 914, 165, 5, 27, "Input", + Cell[24403, 914, 165, 5, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1622675607], - Cell[24572, 921, 441, 16, 54, "Output", + Cell[24571, 921, 441, 16, 54, "Output", CellTags->"SimplifyPolyLog"], - Cell[25028, 940, 135, 4, 27, "Input", + Cell[25027, 940, 135, 4, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1270078266]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 27697, 1024}, - {"SimplifyPolyLog", 27839, 1028} + {"PrimaryExamplesSection", 27641, 1023}, + {"SimplifyPolyLog", 27783, 1027} } *) (*NotebookFileOutline @@ -1141,151 +1140,151 @@ Cell[3914, 110, 476, 13, 101, "Usage", Cell[CellGroupData[{ Cell[4415, 127, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->284460771], + CellID->243207112], Cell[CellGroupData[{ -Cell[4827, 146, 196, 6, 26, "ExampleSection", - CellID->1751609327], -Cell[5026, 154, 241, 7, 29, "Input", +Cell[4827, 146, 195, 6, 26, "ExampleSection", + CellID->277238363], +Cell[5025, 154, 241, 7, 29, "Input", CellTags->"SimplifyPolyLog", CellID->258376485], Cell[CellGroupData[{ -Cell[5292, 165, 212, 7, 27, "Input", +Cell[5291, 165, 212, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->312810151], -Cell[5507, 174, 749, 23, 57, "Output", +Cell[5506, 174, 749, 23, 57, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[6293, 202, 187, 6, 27, "Input", +Cell[6292, 202, 187, 6, 27, "Input", CellTags->"SimplifyPolyLog", CellID->533586750], -Cell[6483, 210, 517, 17, 37, "Output", +Cell[6482, 210, 517, 17, 37, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[7037, 232, 239, 8, 27, "Input", +Cell[7036, 232, 239, 8, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1083087116], -Cell[7279, 242, 716, 23, 42, "Output", +Cell[7278, 242, 716, 23, 42, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[8032, 270, 212, 7, 27, "Input", +Cell[8031, 270, 212, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->273399044], -Cell[8247, 279, 693, 22, 42, "Output", +Cell[8246, 279, 693, 22, 42, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[8977, 306, 289, 10, 27, "Input", +Cell[8976, 306, 289, 10, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1780815312], -Cell[9269, 318, 755, 25, 56, "Output", +Cell[9268, 318, 755, 25, 56, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[10061, 348, 265, 9, 27, "Input", +Cell[10060, 348, 265, 9, 27, "Input", CellTags->"SimplifyPolyLog", CellID->189309767], -Cell[10329, 359, 730, 24, 56, "Output", +Cell[10328, 359, 730, 24, 56, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[11096, 388, 299, 10, 27, "Input", +Cell[11095, 388, 299, 10, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1734664877], -Cell[11398, 400, 855, 34, 56, "Output", +Cell[11397, 400, 855, 34, 56, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[12290, 439, 233, 8, 27, "Input", +Cell[12289, 439, 233, 8, 27, "Input", CellTags->"SimplifyPolyLog", CellID->128811971], -Cell[12526, 449, 581, 20, 60, "Output", +Cell[12525, 449, 581, 20, 60, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[13144, 474, 213, 7, 27, "Input", +Cell[13143, 474, 213, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->919109136], -Cell[13360, 483, 200, 6, 35, "Output", +Cell[13359, 483, 200, 6, 35, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[13597, 494, 213, 7, 27, "Input", +Cell[13596, 494, 213, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->418960340], -Cell[13813, 503, 1149, 39, 64, "Output", +Cell[13812, 503, 1149, 39, 64, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[14999, 547, 290, 10, 27, "Input", +Cell[14998, 547, 290, 10, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1663942518], -Cell[15292, 559, 1566, 53, 95, "Output", +Cell[15291, 559, 1566, 53, 95, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[16895, 617, 240, 8, 27, "Input", +Cell[16894, 617, 240, 8, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1897345533], -Cell[17138, 627, 1379, 50, 101, "Output", +Cell[17137, 627, 1379, 50, 101, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[18554, 682, 290, 10, 27, "Input", +Cell[18553, 682, 290, 10, 27, "Input", CellTags->"SimplifyPolyLog", CellID->2143666635], -Cell[18847, 694, 2943, 105, 160, "Output", +Cell[18846, 694, 2943, 105, 160, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[21827, 804, 210, 7, 27, "Input", +Cell[21826, 804, 210, 7, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1854005981], -Cell[22040, 813, 422, 15, 57, "Output", +Cell[22039, 813, 422, 15, 57, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[22499, 833, 185, 6, 27, "Input", +Cell[22498, 833, 185, 6, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1150742435], -Cell[22687, 841, 337, 11, 57, "Output", +Cell[22686, 841, 337, 11, 57, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[23061, 857, 165, 5, 27, "Input", +Cell[23060, 857, 165, 5, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1515894413], -Cell[23229, 864, 492, 17, 57, "Output", +Cell[23228, 864, 492, 17, 57, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[23758, 886, 165, 5, 27, "Input", +Cell[23757, 886, 165, 5, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1072815012], -Cell[23926, 893, 441, 16, 54, "Output", +Cell[23925, 893, 441, 16, 54, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], Cell[CellGroupData[{ -Cell[24404, 914, 165, 5, 27, "Input", +Cell[24403, 914, 165, 5, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1622675607], -Cell[24572, 921, 441, 16, 54, "Output", +Cell[24571, 921, 441, 16, 54, "Output", CellTags->"SimplifyPolyLog"] }, Open ]], -Cell[25028, 940, 135, 4, 27, "Input", +Cell[25027, 940, 135, 4, 27, "Input", CellTags->"SimplifyPolyLog", CellID->1270078266] }, Open ]], -Cell[25178, 947, 31, 0, 29, "SectionFooterSpacer"] +Cell[25177, 947, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[25246, 952, 270, 12, 31, "SeeAlsoSection", +Cell[25245, 952, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[25519, 966, 184, 7, 56, "SeeAlso"] +Cell[25518, 966, 184, 7, 56, "SeeAlso"] }, Open ]], -Cell[25718, 976, 23, 0, 41, "FooterCell"] +Cell[25717, 976, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SinorUBarD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SinorUBarD.nb index fe150d782..d5e826320 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SinorUBarD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SinorUBarD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5339, 154] +NotebookDataLength[ 5341, 154] NotebookOptionsPosition[ 3527, 104] -NotebookOutlinePosition[ 5275, 151] -CellTagsIndexPosition[ 5232, 148] +NotebookOutlinePosition[ 5277, 151] +CellTagsIndexPosition[ 5234, 148] WindowTitle->SinorUBarD WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$235551], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$236568], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SinorUBarD", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 51.241256}", + "built" -> "{2020, 6, 20, 19, 10, 34.175751}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SirlinSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SirlinSimplify.nb index a0bbdb1e9..2f83b3961 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SirlinSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SirlinSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17588, 610] -NotebookOptionsPosition[ 14042, 505] -NotebookOutlinePosition[ 16367, 565] -CellTagsIndexPosition[ 16282, 560] +NotebookDataLength[ 17535, 609] +NotebookOptionsPosition[ 14043, 505] +NotebookOutlinePosition[ 16313, 564] +CellTagsIndexPosition[ 16228, 559] WindowTitle->SirlinSimplify WindowFrame->Normal*) @@ -82,7 +82,7 @@ SirlinSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$235990], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$237007], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SirlinSimplify", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->992072733], + CellID->1224310566], Cell["", "SectionHeaderSpacer"], @@ -213,7 +213,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->788160319], + CellID->357338809], Cell[CellGroupData[{ @@ -223,7 +223,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1916597711], + CellID->1024480115], Cell[CellGroupData[{ @@ -506,7 +506,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SirlinSimplify", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -518,7 +518,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 52.237882}", + "built" -> "{2020, 6, 20, 19, 10, 34.987041}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -541,8 +541,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -552,14 +551,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6754, 200, 387, 15, 31, "PrimaryExamplesSection", + Cell[6755, 200, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->788160319]} + CellID->357338809]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16139, 553} + {"PrimaryExamplesSection", 16085, 552} } *) (*NotebookFileOutline @@ -571,47 +570,47 @@ Cell[CellGroupData[{ Cell[4128, 115, 715, 18, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4868, 137, 738, 24, 31, "NotesSection", +Cell[4868, 137, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->992072733], -Cell[5609, 163, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1224310566], +Cell[5610, 163, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5665, 167, 117, 3, 70, "Input", +Cell[5666, 167, 117, 3, 27, "Input", CellID->250226562], -Cell[5785, 172, 908, 21, 94, "Output", +Cell[5786, 172, 908, 21, 94, "Output", CellID->1582403712] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6754, 200, 387, 15, 31, "PrimaryExamplesSection", +Cell[6755, 200, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->788160319], + CellID->357338809], Cell[CellGroupData[{ -Cell[7166, 219, 196, 6, 26, "ExampleSection", - CellID->1916597711], +Cell[7167, 219, 196, 6, 26, "ExampleSection", + CellID->1024480115], Cell[CellGroupData[{ -Cell[7387, 229, 588, 17, 45, "Input", +Cell[7388, 229, 588, 17, 45, "Input", CellID->218568636], -Cell[7978, 248, 2236, 91, 39, "Output", +Cell[7979, 248, 2236, 91, 39, "Output", CellID->612231135] }, Open ]], Cell[CellGroupData[{ -Cell[10251, 344, 110, 3, 27, "Input", +Cell[10252, 344, 110, 3, 27, "Input", CellID->989392439], -Cell[10364, 349, 2719, 108, 43, "Output", +Cell[10365, 349, 2719, 108, 43, "Output", CellID->1691287289] }, Open ]] }, Open ]], -Cell[13110, 461, 31, 0, 29, "SectionFooterSpacer"] +Cell[13111, 461, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[13178, 466, 270, 12, 31, "SeeAlsoSection", +Cell[13179, 466, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13451, 480, 549, 20, 56, "SeeAlso", +Cell[13452, 480, 549, 20, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[14015, 503, 23, 0, 41, "FooterCell"] +Cell[14016, 503, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallDelta.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallDelta.nb index 71499e392..fdcc18c1f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallDelta.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallDelta.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5369, 154] +NotebookDataLength[ 5371, 154] NotebookOptionsPosition[ 3534, 104] -NotebookOutlinePosition[ 5305, 151] -CellTagsIndexPosition[ 5262, 148] +NotebookOutlinePosition[ 5307, 151] +CellTagsIndexPosition[ 5264, 148] WindowTitle->SmallDelta WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$237736], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$238753], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SmallDelta", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 56.853237}", + "built" -> "{2020, 6, 20, 19, 10, 39.078412}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallEpsilon.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallEpsilon.nb index a7dd1d44c..e15880da5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallEpsilon.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallEpsilon.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5394, 154] +NotebookDataLength[ 5396, 154] NotebookOptionsPosition[ 3549, 104] -NotebookOutlinePosition[ 5330, 151] -CellTagsIndexPosition[ 5287, 148] +NotebookOutlinePosition[ 5332, 151] +CellTagsIndexPosition[ 5289, 148] WindowTitle->SmallEpsilon WindowFrame->Normal*) @@ -59,7 +59,7 @@ SmallEpsilon.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$238172], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$239189], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SmallEpsilon", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 57.635032}", + "built" -> "{2020, 6, 20, 19, 10, 39.880785}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallVariable.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallVariable.nb index b5b825d9f..9d680785c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallVariable.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallVariable.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7729, 228] +NotebookDataLength[ 7731, 228] NotebookOptionsPosition[ 5552, 170] -NotebookOutlinePosition[ 7520, 220] -CellTagsIndexPosition[ 7477, 217] +NotebookOutlinePosition[ 7522, 220] +CellTagsIndexPosition[ 7479, 217] WindowTitle->SmallVariable WindowFrame->Normal*) @@ -83,7 +83,7 @@ SmallVariable.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$238611], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$239628], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SmallVariable", ".html"]], None}]}]}, @@ -183,7 +183,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 58.444344}", + "built" -> "{2020, 6, 20, 19, 10, 40.978873}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallVariables.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallVariables.nb index 5ff3c6e46..c89f41101 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallVariables.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SmallVariables.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7025, 211] +NotebookDataLength[ 7027, 211] NotebookOptionsPosition[ 4906, 153] -NotebookOutlinePosition[ 6818, 203] -CellTagsIndexPosition[ 6775, 200] +NotebookOutlinePosition[ 6820, 203] +CellTagsIndexPosition[ 6777, 200] WindowTitle->SmallVariables WindowFrame->Normal*) @@ -79,7 +79,7 @@ SmallVariables.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$239055], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$240072], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SmallVariables", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 1, 59.430370}", + "built" -> "{2020, 6, 20, 19, 10, 41.817059}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Sn.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Sn.nb index aa9630e60..07430c48e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Sn.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Sn.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5530, 164] +NotebookDataLength[ 5533, 164] NotebookOptionsPosition[ 3749, 115] -NotebookOutlinePosition[ 5466, 161] -CellTagsIndexPosition[ 5423, 158] +NotebookOutlinePosition[ 5469, 161] +CellTagsIndexPosition[ 5426, 158] WindowTitle->Sn WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$240837], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$241854], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Sn", ".html"]], None}]}]}, @@ -128,7 +128,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 3.846771}", + "built" -> "{2020, 6, 20, 19, 10, 46.299058}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Solve2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Solve2.nb index 3fbe2fff5..cc35e50ef 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Solve2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Solve2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14532, 516] -NotebookOptionsPosition[ 9695, 361] -NotebookOutlinePosition[ 12893, 452] -CellTagsIndexPosition[ 12783, 446] +NotebookDataLength[ 14538, 516] +NotebookOptionsPosition[ 9696, 361] +NotebookOutlinePosition[ 12898, 452] +CellTagsIndexPosition[ 12788, 446] WindowTitle->Solve2 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$241722], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$242739], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Solve2", ".html"]], None}]}]}, @@ -132,7 +132,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1936670129], + CellID->1000983655], Cell["", "SectionHeaderSpacer"], @@ -178,7 +178,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->80636217], + CellID->806565811], Cell[CellGroupData[{ @@ -188,7 +188,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1002636004], + CellID->1552756100], Cell[CellGroupData[{ @@ -272,7 +272,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"x", "\[Rule]", RowBox[{"-", "h"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{69, 14}, + ImageSize->{69, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"Solve2", @@ -361,8 +361,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Solve2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -374,7 +374,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 5.771678}", + "built" -> "{2020, 6, 20, 19, 10, 48.002313}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -406,47 +406,47 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Solve2"->{ - Cell[4580, 140, 130, 4, 70, "Input", + Cell[4580, 140, 130, 4, 27, "Input", CellTags->"Solve2", CellID->1980966786], Cell[4713, 146, 369, 12, 37, "Output", CellTags->"Solve2", CellID->549167872], - Cell[5775, 194, 408, 15, 27, "Input", + Cell[5776, 194, 408, 15, 27, "Input", CellTags->"Solve2", CellID->1039333426], - Cell[6186, 211, 458, 16, 56, "Output", + Cell[6187, 211, 458, 16, 56, "Output", CellTags->"Solve2"], - Cell[6775, 236, 171, 6, 27, "Input", + Cell[6776, 236, 171, 6, 27, "Input", CellTags->"Solve2", CellID->1138368341], - Cell[6949, 244, 260, 9, 37, "Output", + Cell[6950, 244, 260, 9, 37, "Output", CellTags->"Solve2"], - Cell[7246, 258, 284, 9, 27, "Input", + Cell[7247, 258, 284, 9, 27, "Input", CellTags->"Solve2", CellID->455409208], - Cell[7533, 269, 260, 9, 35, "Output", + Cell[7534, 269, 260, 9, 37, "Output", CellTags->"Solve2"], - Cell[7830, 283, 460, 16, 27, "Input", + Cell[7831, 283, 460, 16, 27, "Input", CellTags->"Solve2", CellID->881839558], - Cell[8293, 301, 399, 14, 56, "Output", + Cell[8294, 301, 399, 14, 56, "Output", CellTags->"Solve2"], - Cell[8729, 320, 406, 15, 27, "Input", + Cell[8730, 320, 406, 15, 27, "Input", CellTags->"Solve2", CellID->564833870], - Cell[9138, 337, 491, 17, 56, "Output", + Cell[9139, 337, 491, 17, 56, "Output", CellTags->"Solve2"]}, "PrimaryExamplesSection"->{ - Cell[5143, 165, 386, 15, 31, "PrimaryExamplesSection", + Cell[5143, 165, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->80636217]} + CellID->806565811]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Solve2", 11685, 407}, - {"PrimaryExamplesSection", 12641, 439} + {"Solve2", 11689, 407}, + {"PrimaryExamplesSection", 12645, 439} } *) (*NotebookFileOutline @@ -460,10 +460,10 @@ Cell[3154, 91, 603, 15, 119, "Usage", Cell[CellGroupData[{ Cell[3782, 110, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1936670129], -Cell[4524, 136, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1000983655], +Cell[4524, 136, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4580, 140, 130, 4, 70, "Input", +Cell[4580, 140, 130, 4, 27, "Input", CellTags->"Solve2", CellID->1980966786], Cell[4713, 146, 369, 12, 37, "Output", @@ -473,51 +473,51 @@ Cell[4713, 146, 369, 12, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5143, 165, 386, 15, 31, "PrimaryExamplesSection", +Cell[5143, 165, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->80636217], + CellID->806565811], Cell[CellGroupData[{ -Cell[5554, 184, 196, 6, 26, "ExampleSection", - CellID->1002636004], +Cell[5555, 184, 196, 6, 26, "ExampleSection", + CellID->1552756100], Cell[CellGroupData[{ -Cell[5775, 194, 408, 15, 27, "Input", +Cell[5776, 194, 408, 15, 27, "Input", CellTags->"Solve2", CellID->1039333426], -Cell[6186, 211, 458, 16, 56, "Output", +Cell[6187, 211, 458, 16, 56, "Output", CellTags->"Solve2"] }, Open ]], -Cell[6659, 230, 91, 2, 32, "Notes"], +Cell[6660, 230, 91, 2, 32, "Notes"], Cell[CellGroupData[{ -Cell[6775, 236, 171, 6, 27, "Input", +Cell[6776, 236, 171, 6, 27, "Input", CellTags->"Solve2", CellID->1138368341], -Cell[6949, 244, 260, 9, 37, "Output", +Cell[6950, 244, 260, 9, 37, "Output", CellTags->"Solve2"] }, Open ]], Cell[CellGroupData[{ -Cell[7246, 258, 284, 9, 27, "Input", +Cell[7247, 258, 284, 9, 27, "Input", CellTags->"Solve2", CellID->455409208], -Cell[7533, 269, 260, 9, 35, "Output", +Cell[7534, 269, 260, 9, 37, "Output", CellTags->"Solve2"] }, Open ]], Cell[CellGroupData[{ -Cell[7830, 283, 460, 16, 27, "Input", +Cell[7831, 283, 460, 16, 27, "Input", CellTags->"Solve2", CellID->881839558], -Cell[8293, 301, 399, 14, 56, "Output", +Cell[8294, 301, 399, 14, 56, "Output", CellTags->"Solve2"] }, Open ]], Cell[CellGroupData[{ -Cell[8729, 320, 406, 15, 27, "Input", +Cell[8730, 320, 406, 15, 27, "Input", CellTags->"Solve2", CellID->564833870], -Cell[9138, 337, 491, 17, 56, "Output", +Cell[9139, 337, 491, 17, 56, "Output", CellTags->"Solve2"] }, Open ]] }, Open ]] }, Open ]], -Cell[9668, 359, 23, 0, 41, "FooterCell"] +Cell[9669, 359, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Solve3.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Solve3.nb index e83a849ce..b2ea84f4a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Solve3.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Solve3.nb @@ -10,8 +10,8 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10118, 337] -NotebookOptionsPosition[ 6727, 234] +NotebookDataLength[ 10116, 337] +NotebookOptionsPosition[ 6725, 234] NotebookOutlinePosition[ 9228, 303] CellTagsIndexPosition[ 9120, 297] WindowTitle->Solve3 @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$242154], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$243171], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Solve3", ".html"]], None}]}]}, @@ -130,7 +130,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1639737478], + CellID->191323228], Cell["", "SectionHeaderSpacer"], @@ -178,7 +178,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->999196841], + CellID->38950506], Cell[CellGroupData[{ @@ -188,7 +188,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1198337696], + CellID->1605574796], Cell[CellGroupData[{ @@ -234,8 +234,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowSize->{808, 840}, +WindowMargins->{{268, Automatic}, {Automatic, 20}}, WindowTitle->"Solve3", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -247,7 +247,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 6.944816}", + "built" -> "{2020, 6, 20, 19, 10, 49.118218}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -278,26 +278,26 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Solve3"->{ - Cell[4505, 138, 131, 4, 70, "Input", + Cell[4504, 138, 131, 4, 70, "Input", CellTags->"Solve3", CellID->1333669928], - Cell[4639, 144, 459, 14, 37, "Output", + Cell[4638, 144, 459, 14, 37, "Output", CellTags->"Solve3"], - Cell[5792, 194, 408, 15, 27, "Input", + Cell[5790, 194, 408, 15, 27, "Input", CellTags->"Solve3", CellID->1175774569], - Cell[6203, 211, 458, 16, 56, "Output", + Cell[6201, 211, 458, 16, 56, "Output", CellTags->"Solve3"]}, "PrimaryExamplesSection"->{ - Cell[5159, 165, 387, 15, 31, "PrimaryExamplesSection", + Cell[5158, 165, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->999196841]} + CellID->38950506]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Solve3", 8644, 279}, - {"PrimaryExamplesSection", 8977, 290} + {"Solve3", 8645, 279}, + {"PrimaryExamplesSection", 8978, 290} } *) (*NotebookFileOutline @@ -309,36 +309,36 @@ Cell[CellGroupData[{ Cell[3154, 91, 528, 13, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3707, 108, 739, 24, 31, "NotesSection", +Cell[3707, 108, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1639737478], -Cell[4449, 134, 31, 0, 70, "SectionHeaderSpacer"], + CellID->191323228], +Cell[4448, 134, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4505, 138, 131, 4, 70, "Input", +Cell[4504, 138, 131, 4, 70, "Input", CellTags->"Solve3", CellID->1333669928], -Cell[4639, 144, 459, 14, 37, "Output", +Cell[4638, 144, 459, 14, 37, "Output", CellTags->"Solve3"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5159, 165, 387, 15, 31, "PrimaryExamplesSection", +Cell[5158, 165, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->999196841], + CellID->38950506], Cell[CellGroupData[{ -Cell[5571, 184, 196, 6, 26, "ExampleSection", - CellID->1198337696], +Cell[5569, 184, 196, 6, 26, "ExampleSection", + CellID->1605574796], Cell[CellGroupData[{ -Cell[5792, 194, 408, 15, 27, "Input", +Cell[5790, 194, 408, 15, 27, "Input", CellTags->"Solve3", CellID->1175774569], -Cell[6203, 211, 458, 16, 56, "Output", +Cell[6201, 211, 458, 16, 56, "Output", CellTags->"Solve3"] }, Open ]] }, Open ]] }, Open ]], -Cell[6700, 232, 23, 0, 41, "FooterCell"] +Cell[6698, 232, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Spinor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Spinor.nb index 68ff1f44c..1c72688b6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Spinor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Spinor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 20282, 755] -NotebookOptionsPosition[ 14563, 567] -NotebookOutlinePosition[ 17787, 663] -CellTagsIndexPosition[ 17677, 657] +NotebookDataLength[ 21675, 799] +NotebookOptionsPosition[ 15947, 611] +NotebookOutlinePosition[ 19177, 707] +CellTagsIndexPosition[ 19067, 701] WindowTitle->Spinor WindowFrame->Normal*) @@ -43,7 +43,15 @@ Cell[BoxData[GridBox[{ "paclet:FeynCalc/ref/SpinorV"], "\<\"SpinorUBar\"\>":> Documentation`HelpLookup[ "paclet:FeynCalc/ref/SpinorUBar"], "\<\"SpinorVBar\"\>":> - Documentation`HelpLookup["paclet:FeynCalc/ref/SpinorVBar"]}, + Documentation`HelpLookup[ + "paclet:FeynCalc/ref/SpinorVBar"], "\<\"SpinorUBarD\"\>":> + Documentation`HelpLookup[ + "paclet:FeynCalc/ref/SpinorUBarD"], "\<\"SpinorUD\"\>":> + Documentation`HelpLookup[ + "paclet:FeynCalc/ref/SpinorUD"], "\<\"SpinorVD\"\>":> + Documentation`HelpLookup[ + "paclet:FeynCalc/ref/SpinorVD"], "\<\"SpinorVBarD\"\>":> + Documentation`HelpLookup["paclet:FeynCalc/ref/SpinorVBarD"]}, Appearance->None, MenuAppearance->Automatic, MenuStyle->"SeeAlso"]], @@ -89,7 +97,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$245728], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$246749], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Spinor", ".html"]], None}]}]}, @@ -160,7 +168,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2080643155], + CellID->1690095629], Cell["", "SectionHeaderSpacer"], @@ -265,7 +273,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->335626817], + CellID->480629854], Cell[CellGroupData[{ @@ -275,12 +283,13 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1552583930], + CellID->989759365], Cell[CellGroupData[{ Cell[BoxData[ - RowBox[{"Spinor", "[", "p", "]"}]], "Input", + RowBox[{"Spinor", "[", + RowBox[{"Momentum", "[", "p", "]"}], "]"}]], "Input", CellTags->"Spinor", CellLabel->"In[1]:=", CellID->1573141935], @@ -310,7 +319,8 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Spinor", "[", - RowBox[{"p", ",", "m"}], "]"}]], "Input", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}]], "Input", CellTags->"Spinor", CellLabel->"In[2]:=", CellID->67205944], @@ -351,9 +361,12 @@ Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{"Spinor", "[", - RowBox[{"p", ",", "m"}], "]"}], ".", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}], ".", RowBox[{"Spinor", "[", - RowBox[{"p", ",", "m"}], "]"}]}], "//", "DiracSimplify"}]], "Input", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}]}], "//", + "DiracSimplify"}]], "Input", CellTags->"Spinor", CellLabel->"In[3]:=", CellID->540190510], @@ -375,7 +388,8 @@ Cell[BoxData[ RowBox[{ RowBox[{"Spinor", "[", RowBox[{ - RowBox[{"-", "p"}], ",", "m"}], "]"}], ".", + RowBox[{"-", + RowBox[{"Momentum", "[", "p", "]"}]}], ",", "m"}], "]"}], ".", RowBox[{"GS", "[", "p", "]"}]}], "]"}]], "Input", CellTags->"Spinor", CellLabel->"In[4]:=", @@ -414,7 +428,9 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ - RowBox[{"Spinor", "[", "p", "]"}], "//", "StandardForm"}]], "Input", + RowBox[{"Spinor", "[", + RowBox[{"Momentum", "[", "p", "]"}], "]"}], "//", + "StandardForm"}]], "Input", CellTags->"Spinor", CellLabel->"In[5]:=", CellID->864077691], @@ -437,7 +453,8 @@ Cell[BoxData[ RowBox[{ RowBox[{"ChangeDimension", "[", RowBox[{ - RowBox[{"Spinor", "[", "p", "]"}], ",", "D"}], "]"}], "//", + RowBox[{"Spinor", "[", + RowBox[{"Momentum", "[", "p", "]"}], "]"}], ",", "D"}], "]"}], "//", "StandardForm"}]], "Input", CellTags->"Spinor", CellLabel->"In[6]:=", @@ -460,7 +477,9 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Spinor", "[", - RowBox[{"p", ",", "m"}], "]"}], "//", "StandardForm"}]], "Input", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}], "//", + "StandardForm"}]], "Input", CellTags->"Spinor", CellLabel->"In[7]:=", CellID->1410615258], @@ -484,7 +503,8 @@ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Spinor", "[", - RowBox[{"p", ",", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", RowBox[{"SmallVariable", "[", "m", "]"}]}], "]"}], "//", "StandardForm"}]], "Input", CellTags->"Spinor", @@ -559,6 +579,30 @@ Cell[TextData[{ ButtonData->"paclet:FeynCalc/ref/SpinorVBar", ButtonNote->"SpinorVBar"], FontFamily->"Verdana"], + ", ", + StyleBox[ButtonBox["SpinorUBarD", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/SpinorUBarD", + ButtonNote->"SpinorUBarD"], + FontFamily->"Verdana"], + ", ", + StyleBox[ButtonBox["SpinorUD", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/SpinorUD", + ButtonNote->"SpinorUD"], + FontFamily->"Verdana"], + ", ", + StyleBox[ButtonBox["SpinorVD", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/SpinorVD", + ButtonNote->"SpinorVD"], + FontFamily->"Verdana"], + ", ", + StyleBox[ButtonBox["SpinorVBarD", + BaseStyle->"Link", + ButtonData->"paclet:FeynCalc/ref/SpinorVBarD", + ButtonNote->"SpinorVBarD"], + FontFamily->"Verdana"], "." }], "SeeAlso"] }, Open ]], @@ -568,7 +612,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Spinor", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -580,7 +624,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 16.464535}", + "built" -> "{2020, 6, 20, 19, 10, 57.443910}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -608,155 +652,155 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7451, 252, 387, 15, 31, "PrimaryExamplesSection", + Cell[7839, 260, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->335626817]}, + CellID->480629854]}, "Spinor"->{ - Cell[8084, 281, 124, 4, 27, "Input", + Cell[8471, 289, 159, 5, 27, "Input", CellTags->"Spinor", CellID->1573141935], - Cell[8211, 287, 448, 18, 37, "Output", + Cell[8633, 296, 448, 18, 37, "Output", CellTags->"Spinor"], - Cell[8696, 310, 145, 5, 27, "Input", + Cell[9118, 319, 181, 6, 27, "Input", CellTags->"Spinor", CellID->67205944], - Cell[8844, 317, 534, 22, 37, "Output", + Cell[9302, 327, 534, 22, 37, "Output", CellTags->"Spinor"], - Cell[9544, 349, 267, 9, 27, "Input", + Cell[10002, 359, 346, 12, 27, "Input", CellTags->"Spinor", CellID->540190510], - Cell[9814, 360, 210, 7, 35, "Output", + Cell[10351, 373, 210, 7, 35, "Output", CellTags->"Spinor"], - Cell[10061, 372, 263, 9, 27, "Input", + Cell[10598, 385, 302, 10, 27, "Input", CellTags->"Spinor", CellID->654515033], - Cell[10327, 383, 658, 26, 37, "Output", + Cell[10903, 397, 658, 26, 37, "Output", CellTags->"Spinor"], - Cell[11022, 414, 158, 5, 27, "Input", + Cell[11598, 428, 197, 7, 27, "Input", CellTags->"Spinor", CellID->864077691], - Cell[11183, 421, 277, 9, 51, "Output", + Cell[11798, 437, 277, 9, 51, "Output", CellTags->"Spinor"], - Cell[11497, 435, 228, 8, 27, "Input", + Cell[12112, 451, 266, 9, 27, "Input", CellTags->"Spinor", CellID->39280367], - Cell[11728, 445, 300, 9, 51, "Output", + Cell[12381, 462, 300, 9, 51, "Output", CellTags->"Spinor"], - Cell[12065, 459, 183, 6, 27, "Input", + Cell[12718, 476, 223, 8, 27, "Input", CellTags->"Spinor", CellID->1410615258], - Cell[12251, 467, 277, 9, 51, "Output", + Cell[12944, 486, 277, 9, 51, "Output", CellTags->"Spinor"], - Cell[12625, 483, 227, 8, 27, "Input", + Cell[13318, 502, 264, 9, 27, "Input", CellTags->"Spinor", CellID->557218901], - Cell[12855, 493, 277, 9, 51, "Output", + Cell[13585, 513, 277, 9, 51, "Output", CellTags->"Spinor"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16315, 609}, - {"Spinor", 16448, 613} + {"PrimaryExamplesSection", 17701, 653}, + {"Spinor", 17834, 657} } *) (*NotebookFileOutline Notebook[{ -Cell[578, 21, 3490, 84, 53, "AnchorBarGrid", +Cell[578, 21, 3878, 92, 53, "AnchorBarGrid", CellID->1], -Cell[4071, 107, 283, 11, 45, "ObjectNameGrid"], +Cell[4459, 115, 283, 11, 45, "ObjectNameGrid"], Cell[CellGroupData[{ -Cell[4379, 122, 410, 12, 85, "Usage", +Cell[4767, 130, 410, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4814, 138, 739, 24, 31, "NotesSection", +Cell[5202, 146, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2080643155], -Cell[5556, 164, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5590, 166, 432, 18, 70, "Notes"], -Cell[6025, 186, 187, 6, 70, "Notes"], -Cell[6215, 194, 157, 5, 70, "Notes"], -Cell[6375, 201, 188, 6, 70, "Notes"], -Cell[6566, 209, 158, 5, 70, "Notes"], -Cell[6727, 216, 514, 25, 70, "Notes", + CellID->1690095629], +Cell[5944, 172, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5978, 174, 432, 18, 70, "Notes"], +Cell[6413, 194, 187, 6, 70, "Notes"], +Cell[6603, 202, 157, 5, 70, "Notes"], +Cell[6763, 209, 188, 6, 70, "Notes"], +Cell[6954, 217, 158, 5, 70, "Notes"], +Cell[7115, 224, 514, 25, 70, "Notes", CellID->1067943069], -Cell[7244, 243, 158, 3, 70, "Notes"] +Cell[7632, 251, 158, 3, 70, "Notes"] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7451, 252, 387, 15, 31, "PrimaryExamplesSection", +Cell[7839, 260, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->335626817], + CellID->480629854], Cell[CellGroupData[{ -Cell[7863, 271, 196, 6, 26, "ExampleSection", - CellID->1552583930], +Cell[8251, 279, 195, 6, 26, "ExampleSection", + CellID->989759365], Cell[CellGroupData[{ -Cell[8084, 281, 124, 4, 27, "Input", +Cell[8471, 289, 159, 5, 27, "Input", CellTags->"Spinor", CellID->1573141935], -Cell[8211, 287, 448, 18, 37, "Output", +Cell[8633, 296, 448, 18, 37, "Output", CellTags->"Spinor"] }, Open ]], Cell[CellGroupData[{ -Cell[8696, 310, 145, 5, 27, "Input", +Cell[9118, 319, 181, 6, 27, "Input", CellTags->"Spinor", CellID->67205944], -Cell[8844, 317, 534, 22, 37, "Output", +Cell[9302, 327, 534, 22, 37, "Output", CellTags->"Spinor"] }, Open ]], -Cell[9393, 342, 126, 3, 32, "Notes"], +Cell[9851, 352, 126, 3, 32, "Notes"], Cell[CellGroupData[{ -Cell[9544, 349, 267, 9, 27, "Input", +Cell[10002, 359, 346, 12, 27, "Input", CellTags->"Spinor", CellID->540190510], -Cell[9814, 360, 210, 7, 35, "Output", +Cell[10351, 373, 210, 7, 35, "Output", CellTags->"Spinor"] }, Open ]], Cell[CellGroupData[{ -Cell[10061, 372, 263, 9, 27, "Input", +Cell[10598, 385, 302, 10, 27, "Input", CellTags->"Spinor", CellID->654515033], -Cell[10327, 383, 658, 26, 37, "Output", +Cell[10903, 397, 658, 26, 37, "Output", CellTags->"Spinor"] }, Open ]], Cell[CellGroupData[{ -Cell[11022, 414, 158, 5, 27, "Input", +Cell[11598, 428, 197, 7, 27, "Input", CellTags->"Spinor", CellID->864077691], -Cell[11183, 421, 277, 9, 51, "Output", +Cell[11798, 437, 277, 9, 51, "Output", CellTags->"Spinor"] }, Open ]], Cell[CellGroupData[{ -Cell[11497, 435, 228, 8, 27, "Input", +Cell[12112, 451, 266, 9, 27, "Input", CellTags->"Spinor", CellID->39280367], -Cell[11728, 445, 300, 9, 51, "Output", +Cell[12381, 462, 300, 9, 51, "Output", CellTags->"Spinor"] }, Open ]], Cell[CellGroupData[{ -Cell[12065, 459, 183, 6, 27, "Input", +Cell[12718, 476, 223, 8, 27, "Input", CellTags->"Spinor", CellID->1410615258], -Cell[12251, 467, 277, 9, 51, "Output", +Cell[12944, 486, 277, 9, 51, "Output", CellTags->"Spinor"] }, Open ]], -Cell[12543, 479, 57, 0, 32, "Notes"], +Cell[13236, 498, 57, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[12625, 483, 227, 8, 27, "Input", +Cell[13318, 502, 264, 9, 27, "Input", CellTags->"Spinor", CellID->557218901], -Cell[12855, 493, 277, 9, 51, "Output", +Cell[13585, 513, 277, 9, 51, "Output", CellTags->"Spinor"] }, Open ]] }, Open ]], -Cell[13159, 506, 31, 0, 29, "SectionFooterSpacer"] +Cell[13889, 526, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[13227, 511, 270, 12, 31, "SeeAlsoSection", +Cell[13957, 531, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[13500, 525, 1021, 37, 56, "SeeAlso"] +Cell[14230, 545, 1675, 61, 71, "SeeAlso"] }, Open ]], -Cell[14536, 565, 23, 0, 41, "FooterCell"] +Cell[15920, 609, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainChiralSplit.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainChiralSplit.nb index 466ed8a01..f143358ac 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainChiralSplit.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainChiralSplit.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14929, 517] -NotebookOptionsPosition[ 11549, 415] -NotebookOutlinePosition[ 13713, 472] -CellTagsIndexPosition[ 13628, 467] +NotebookDataLength[ 14877, 516] +NotebookOptionsPosition[ 11550, 415] +NotebookOutlinePosition[ 13660, 471] +CellTagsIndexPosition[ 13575, 466] WindowTitle->SpinorChainChiralSplit WindowFrame->Normal*) @@ -83,7 +83,7 @@ SpinorChainChiralSplit.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$244387], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$245404], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorChainChiralSplit", ".html"]], None}]}]}, @@ -157,7 +157,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2113651812], + CellID->619942656], Cell["", "SectionHeaderSpacer"], @@ -206,7 +206,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->175922978], + CellID->1710224542], Cell[CellGroupData[{ @@ -216,7 +216,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->422308104], + CellID->1089850160], Cell[CellGroupData[{ @@ -416,7 +416,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SpinorChainChiralSplit", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -428,7 +428,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 12.890424}", + "built" -> "{2020, 6, 20, 19, 10, 54.113342}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -448,8 +448,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -459,14 +458,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6322, 193, 387, 15, 31, "PrimaryExamplesSection", + Cell[6321, 193, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->175922978]} + CellID->1710224542]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13485, 460} + {"PrimaryExamplesSection", 13431, 459} } *) (*NotebookFileOutline @@ -478,47 +477,47 @@ Cell[CellGroupData[{ Cell[4202, 116, 501, 15, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4728, 135, 739, 24, 31, "NotesSection", +Cell[4728, 135, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2113651812], -Cell[5470, 161, 31, 0, 70, "SectionHeaderSpacer"], + CellID->619942656], +Cell[5469, 161, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5526, 165, 124, 3, 70, "Input", +Cell[5525, 165, 124, 3, 70, "Input", CellID->123332039], -Cell[5653, 170, 608, 16, 56, "Output", +Cell[5652, 170, 608, 16, 56, "Output", CellID->1045438956] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6322, 193, 387, 15, 31, "PrimaryExamplesSection", +Cell[6321, 193, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->175922978], + CellID->1710224542], Cell[CellGroupData[{ -Cell[6734, 212, 195, 6, 26, "ExampleSection", - CellID->422308104], +Cell[6734, 212, 196, 6, 26, "ExampleSection", + CellID->1089850160], Cell[CellGroupData[{ -Cell[6954, 222, 256, 8, 27, "Input", +Cell[6955, 222, 256, 8, 27, "Input", CellID->1944273704], -Cell[7213, 232, 658, 26, 37, "Output", +Cell[7214, 232, 658, 26, 37, "Output", CellID->1510764767] }, Open ]], Cell[CellGroupData[{ -Cell[7908, 263, 118, 3, 27, "Input", +Cell[7909, 263, 118, 3, 27, "Input", CellID->767934548], -Cell[8029, 268, 2534, 99, 42, "Output", +Cell[8030, 268, 2534, 99, 42, "Output", CellID->172408206] }, Open ]] }, Open ]], -Cell[10590, 371, 31, 0, 29, "SectionFooterSpacer"] +Cell[10591, 371, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10658, 376, 270, 12, 31, "SeeAlsoSection", +Cell[10659, 376, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10931, 390, 576, 20, 56, "SeeAlso", +Cell[10932, 390, 576, 20, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[11522, 413, 23, 0, 41, "FooterCell"] +Cell[11523, 413, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainTranspose.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainTranspose.nb index 727a4beb5..639c152fb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainTranspose.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainTranspose.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 24727, 889] -NotebookOptionsPosition[ 20391, 757] -NotebookOutlinePosition[ 22817, 818] -CellTagsIndexPosition[ 22732, 813] +NotebookDataLength[ 24670, 888] +NotebookOptionsPosition[ 20390, 757] +NotebookOutlinePosition[ 22761, 817] +CellTagsIndexPosition[ 22676, 812] WindowTitle->SpinorChainTranspose WindowFrame->Normal*) @@ -83,7 +83,7 @@ SpinorChainTranspose.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$244827], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$245844], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorChainTranspose", ".html"]], None}]}]}, @@ -168,7 +168,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1408763244], + CellID->890704040], Cell["", "SectionHeaderSpacer"], @@ -294,7 +294,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1299793682], + CellID->1344283477], Cell[CellGroupData[{ @@ -304,7 +304,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1419071165], + CellID->1515014524], Cell[CellGroupData[{ @@ -770,7 +770,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 14.022755}", + "built" -> "{2020, 6, 20, 19, 10, 55.149269}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -794,8 +794,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -805,14 +804,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[9116, 281, 388, 15, 31, "PrimaryExamplesSection", + Cell[9115, 281, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1299793682]} + CellID->1344283477]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 22588, 806} + {"PrimaryExamplesSection", 22532, 805} } *) (*NotebookFileOutline @@ -824,73 +823,73 @@ Cell[CellGroupData[{ Cell[4188, 116, 1006, 26, 136, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5219, 146, 739, 24, 31, "NotesSection", +Cell[5219, 146, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1408763244], -Cell[5961, 172, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5995, 174, 172, 5, 70, "Notes", + CellID->890704040], +Cell[5960, 172, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5994, 174, 172, 5, 32, "Notes", CellID->908030529], Cell[CellGroupData[{ -Cell[6192, 183, 121, 3, 70, "Input", +Cell[6191, 183, 121, 3, 27, "Input", CellID->37503137], -Cell[6316, 188, 2739, 86, 139, "Output", +Cell[6315, 188, 2739, 86, 139, "Output", CellID->334721325] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[9116, 281, 388, 15, 31, "PrimaryExamplesSection", +Cell[9115, 281, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1299793682], + CellID->1344283477], Cell[CellGroupData[{ -Cell[9529, 300, 196, 6, 26, "ExampleSection", - CellID->1419071165], +Cell[9528, 300, 196, 6, 26, "ExampleSection", + CellID->1515014524], Cell[CellGroupData[{ -Cell[9750, 310, 395, 12, 27, "Input", +Cell[9749, 310, 395, 12, 27, "Input", CellID->1577118630], -Cell[10148, 324, 1087, 45, 37, "Output", +Cell[10147, 324, 1087, 45, 37, "Output", CellID->1607764244] }, Open ]], Cell[CellGroupData[{ -Cell[11272, 374, 117, 3, 27, "Input", +Cell[11271, 374, 117, 3, 27, "Input", CellID->1510622750], -Cell[11392, 379, 1481, 58, 37, "Output", +Cell[11391, 379, 1481, 58, 37, "Output", CellID->1670566186] }, Open ]], Cell[CellGroupData[{ -Cell[12910, 442, 395, 12, 27, "Input", +Cell[12909, 442, 395, 12, 27, "Input", CellID->1486107992], -Cell[13308, 456, 1086, 45, 37, "Output", +Cell[13307, 456, 1086, 45, 37, "Output", CellID->691987419] }, Open ]], Cell[CellGroupData[{ -Cell[14431, 506, 117, 3, 27, "Input", +Cell[14430, 506, 117, 3, 27, "Input", CellID->1485524900], -Cell[14551, 511, 1412, 57, 37, "Output", +Cell[14550, 511, 1412, 57, 37, "Output", CellID->1745938355] }, Open ]], Cell[CellGroupData[{ -Cell[16000, 573, 395, 12, 27, "Input", +Cell[15999, 573, 395, 12, 27, "Input", CellID->1726192320], -Cell[16398, 587, 1087, 45, 37, "Output", +Cell[16397, 587, 1087, 45, 37, "Output", CellID->1092633300] }, Open ]], Cell[CellGroupData[{ -Cell[17522, 637, 394, 12, 29, "Input", +Cell[17521, 637, 394, 12, 29, "Input", CellID->1681222815], -Cell[17919, 651, 1480, 58, 37, "Output", +Cell[17918, 651, 1480, 58, 37, "Output", CellID->438443861] }, Open ]] }, Open ]], -Cell[19426, 713, 31, 0, 29, "SectionFooterSpacer"] +Cell[19425, 713, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[19494, 718, 270, 12, 31, "SeeAlsoSection", +Cell[19493, 718, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[19767, 732, 582, 20, 56, "SeeAlso", +Cell[19766, 732, 582, 20, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[20364, 755, 23, 0, 41, "FooterCell"] +Cell[20363, 755, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainTrick.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainTrick.nb index c298ae6ae..7a496721d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainTrick.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorChainTrick.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19714, 705] +NotebookDataLength[ 19716, 705] NotebookOptionsPosition[ 16017, 588] -NotebookOutlinePosition[ 18082, 644] -CellTagsIndexPosition[ 17997, 639] +NotebookOutlinePosition[ 18084, 644] +CellTagsIndexPosition[ 17999, 639] WindowTitle->SpinorChainTrick WindowFrame->Normal*) @@ -83,7 +83,7 @@ SpinorChainTrick.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$245278], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$246295], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorChainTrick", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->987893942], + CellID->771881695], Cell["", "SectionHeaderSpacer"], @@ -206,7 +206,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1580486668], + CellID->1241796586], Cell[CellGroupData[{ @@ -216,7 +216,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1817998826], + CellID->1612099204], Cell[CellGroupData[{ @@ -588,7 +588,7 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, +WindowSize->{808, 840}, WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"SpinorChainTrick", TaggingRules->{ @@ -601,7 +601,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 15.299017}", + "built" -> "{2020, 6, 20, 19, 10, 56.346939}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -633,12 +633,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[6367, 193, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1580486668]} + CellID->1241796586]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17853, 632} + {"PrimaryExamplesSection", 17855, 632} } *) (*NotebookFileOutline @@ -652,7 +652,7 @@ Cell[4162, 116, 407, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4594, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->987893942], + CellID->771881695], Cell[5335, 158, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5391, 162, 120, 3, 70, "Input", @@ -665,10 +665,10 @@ Cell[5514, 167, 792, 19, 75, "Output", Cell[CellGroupData[{ Cell[6367, 193, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1580486668], + CellID->1241796586], Cell[CellGroupData[{ Cell[6780, 212, 196, 6, 26, "ExampleSection", - CellID->1817998826], + CellID->1612099204], Cell[CellGroupData[{ Cell[7001, 222, 958, 29, 79, "Input", CellID->485195771], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorU.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorU.nb index 5af2a05a5..e46ac5270 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorU.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorU.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14162, 498] +NotebookDataLength[ 14107, 497] NotebookOptionsPosition[ 10347, 377] -NotebookOutlinePosition[ 12779, 446] -CellTagsIndexPosition[ 12668, 440] +NotebookOutlinePosition[ 12724, 445] +CellTagsIndexPosition[ 12613, 439] WindowTitle->SpinorU WindowFrame->Normal*) @@ -92,7 +92,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$247537], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$248562], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorU", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->322452496], + CellID->1822848113], Cell[CellGroupData[{ @@ -172,7 +172,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2037298074], + CellID->997337748], Cell[CellGroupData[{ @@ -378,7 +378,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SpinorU", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -390,7 +390,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 21.608256}", + "built" -> "{2020, 6, 20, 19, 11, 1.948899}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -410,8 +410,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -421,9 +420,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5252, 149, 387, 15, 31, "PrimaryExamplesSection", + Cell[5252, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->322452496]}, + CellID->1822848113]}, "SpinorU"->{ Cell[5885, 178, 149, 5, 27, "Input", CellTags->"SpinorU", @@ -439,8 +438,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12205, 422}, - {"SpinorU", 12339, 426} + {"PrimaryExamplesSection", 12149, 421}, + {"SpinorU", 12284, 425} } *) (*NotebookFileOutline @@ -451,12 +450,12 @@ Cell[4244, 110, 284, 11, 45, "ObjectNameGrid"], Cell[4531, 123, 696, 22, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5252, 149, 387, 15, 31, "PrimaryExamplesSection", +Cell[5252, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->322452496], + CellID->1822848113], Cell[CellGroupData[{ -Cell[5664, 168, 196, 6, 26, "ExampleSection", - CellID->2037298074], +Cell[5665, 168, 195, 6, 26, "ExampleSection", + CellID->997337748], Cell[CellGroupData[{ Cell[5885, 178, 149, 5, 27, "Input", CellTags->"SpinorU", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUBar.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUBar.nb index 7bc32eb90..9176a0e24 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUBar.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUBar.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14295, 501] -NotebookOptionsPosition[ 10445, 380] -NotebookOutlinePosition[ 12910, 449] -CellTagsIndexPosition[ 12799, 443] +NotebookDataLength[ 14236, 500] +NotebookOptionsPosition[ 10443, 380] +NotebookOutlinePosition[ 12853, 448] +CellTagsIndexPosition[ 12742, 442] WindowTitle->SpinorUBar WindowFrame->Normal*) @@ -92,7 +92,7 @@ SpinorUBar.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$246633], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$247658], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorUBar", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2076059377], + CellID->1136638265], Cell[CellGroupData[{ @@ -172,7 +172,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1048506747], + CellID->25396828], Cell[CellGroupData[{ @@ -380,8 +380,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SpinorUBar", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -393,7 +393,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 19.156613}", + "built" -> "{2020, 6, 20, 19, 10, 59.938670}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -413,8 +413,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -426,24 +425,24 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5276, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2076059377]}, + CellID->1136638265]}, "SpinorU"->{ - Cell[5910, 178, 152, 5, 27, "Input", + Cell[5908, 178, 152, 5, 27, "Input", CellTags->"SpinorU", CellID->1066488732], - Cell[6065, 185, 318, 12, 37, "Output", + Cell[6063, 185, 318, 12, 37, "Output", CellTags->"SpinorU"], - Cell[6851, 221, 129, 4, 27, "Input", + Cell[6849, 221, 129, 4, 27, "Input", CellTags->"SpinorU", CellID->1219506664], - Cell[6983, 227, 274, 10, 37, "Output", + Cell[6981, 227, 274, 10, 37, "Output", CellTags->"SpinorU"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12334, 425}, - {"SpinorU", 12469, 429} + {"PrimaryExamplesSection", 12277, 424}, + {"SpinorU", 12412, 428} } *) (*NotebookFileOutline @@ -456,53 +455,53 @@ Cell[4544, 123, 707, 22, 85, "Usage", Cell[CellGroupData[{ Cell[5276, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2076059377], + CellID->1136638265], Cell[CellGroupData[{ -Cell[5689, 168, 196, 6, 26, "ExampleSection", - CellID->1048506747], +Cell[5689, 168, 194, 6, 26, "ExampleSection", + CellID->25396828], Cell[CellGroupData[{ -Cell[5910, 178, 152, 5, 27, "Input", +Cell[5908, 178, 152, 5, 27, "Input", CellTags->"SpinorU", CellID->1066488732], -Cell[6065, 185, 318, 12, 37, "Output", +Cell[6063, 185, 318, 12, 37, "Output", CellTags->"SpinorU"] }, Open ]], Cell[CellGroupData[{ -Cell[6420, 202, 135, 4, 27, "Input", +Cell[6418, 202, 135, 4, 27, "Input", CellID->2060242592], -Cell[6558, 208, 256, 8, 51, "Output"] +Cell[6556, 208, 256, 8, 51, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6851, 221, 129, 4, 27, "Input", +Cell[6849, 221, 129, 4, 27, "Input", CellTags->"SpinorU", CellID->1219506664], -Cell[6983, 227, 274, 10, 37, "Output", +Cell[6981, 227, 274, 10, 37, "Output", CellTags->"SpinorU"] }, Open ]], Cell[CellGroupData[{ -Cell[7294, 242, 135, 4, 27, "Input", +Cell[7292, 242, 135, 4, 27, "Input", CellID->1046277707], -Cell[7432, 248, 256, 8, 51, "Output"] +Cell[7430, 248, 256, 8, 51, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[7725, 261, 157, 5, 27, "Input", +Cell[7723, 261, 157, 5, 27, "Input", CellID->19834725], -Cell[7885, 268, 522, 20, 37, "Output"] +Cell[7883, 268, 522, 20, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[8444, 293, 110, 3, 27, "Input", +Cell[8442, 293, 110, 3, 27, "Input", CellID->1275256319], -Cell[8557, 298, 166, 5, 35, "Output"] +Cell[8555, 298, 166, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[8750, 307, 31, 0, 70, "SectionFooterSpacer"] +Cell[8748, 307, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8818, 312, 270, 12, 70, "SeeAlsoSection", +Cell[8816, 312, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[9091, 326, 1312, 49, 70, "SeeAlso"] +Cell[9089, 326, 1312, 49, 70, "SeeAlso"] }, Open ]], -Cell[10418, 378, 23, 0, 70, "FooterCell"] +Cell[10416, 378, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUBarD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUBarD.nb index 2c0573a75..5fa17bc21 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUBarD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUBarD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14599, 516] -NotebookOptionsPosition[ 10615, 387] -NotebookOutlinePosition[ 13072, 457] -CellTagsIndexPosition[ 12961, 451] +NotebookDataLength[ 14591, 516] +NotebookOptionsPosition[ 10611, 387] +NotebookOutlinePosition[ 13068, 457] +CellTagsIndexPosition[ 12957, 451] WindowTitle->SpinorUBarD WindowFrame->Normal*) @@ -92,7 +92,7 @@ SpinorUBarD.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$246181], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$247206], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorUBarD", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->282114210], + CellID->38980], Cell[CellGroupData[{ @@ -172,7 +172,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->981828233], + CellID->291952243], Cell[CellGroupData[{ @@ -388,7 +388,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SpinorUBarD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -400,7 +400,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 17.932235}", + "built" -> "{2020, 6, 20, 19, 10, 58.904697}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -430,20 +430,20 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5276, 149, 387, 15, 31, "PrimaryExamplesSection", + Cell[5276, 149, 383, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->282114210]}, + CellID->38980]}, "SpinorU"->{ - Cell[5908, 178, 153, 5, 27, "Input", + Cell[5904, 178, 153, 5, 27, "Input", CellTags->"SpinorU", CellID->1066488732], - Cell[6064, 185, 338, 13, 37, "Output", + Cell[6060, 185, 338, 13, 37, "Output", CellTags->"SpinorU", CellID->397412940], - Cell[6914, 223, 130, 4, 27, "Input", + Cell[6910, 223, 130, 4, 27, "Input", CellTags->"SpinorU", CellID->1219506664], - Cell[7047, 229, 295, 11, 37, "Output", + Cell[7043, 229, 295, 11, 37, "Output", CellTags->"SpinorU", CellID->1376419356]} } @@ -451,7 +451,7 @@ CellTagsIndex->{ (*CellTagsIndex CellTagsIndex->{ {"PrimaryExamplesSection", 12452, 431}, - {"SpinorU", 12586, 435} + {"SpinorU", 12582, 435} } *) (*NotebookFileOutline @@ -462,62 +462,62 @@ Cell[4257, 110, 288, 11, 45, "ObjectNameGrid"], Cell[4548, 123, 703, 22, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5276, 149, 387, 15, 31, "PrimaryExamplesSection", +Cell[5276, 149, 383, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->282114210], + CellID->38980], Cell[CellGroupData[{ -Cell[5688, 168, 195, 6, 26, "ExampleSection", - CellID->981828233], +Cell[5684, 168, 195, 6, 26, "ExampleSection", + CellID->291952243], Cell[CellGroupData[{ -Cell[5908, 178, 153, 5, 27, "Input", +Cell[5904, 178, 153, 5, 27, "Input", CellTags->"SpinorU", CellID->1066488732], -Cell[6064, 185, 338, 13, 37, "Output", +Cell[6060, 185, 338, 13, 37, "Output", CellTags->"SpinorU", CellID->397412940] }, Open ]], Cell[CellGroupData[{ -Cell[6439, 203, 135, 4, 27, "Input", +Cell[6435, 203, 135, 4, 27, "Input", CellID->2060242592], -Cell[6577, 209, 300, 9, 51, "Output", +Cell[6573, 209, 300, 9, 51, "Output", CellID->1288798928] }, Open ]], Cell[CellGroupData[{ -Cell[6914, 223, 130, 4, 27, "Input", +Cell[6910, 223, 130, 4, 27, "Input", CellTags->"SpinorU", CellID->1219506664], -Cell[7047, 229, 295, 11, 37, "Output", +Cell[7043, 229, 295, 11, 37, "Output", CellTags->"SpinorU", CellID->1376419356] }, Open ]], Cell[CellGroupData[{ -Cell[7379, 245, 135, 4, 27, "Input", +Cell[7375, 245, 135, 4, 27, "Input", CellID->1046277707], -Cell[7517, 251, 299, 9, 51, "Output", +Cell[7513, 251, 299, 9, 51, "Output", CellID->377450379] }, Open ]], Cell[CellGroupData[{ -Cell[7853, 265, 159, 5, 27, "Input", +Cell[7849, 265, 159, 5, 27, "Input", CellID->19834725], -Cell[8015, 272, 524, 21, 37, "Output", +Cell[8011, 272, 524, 21, 37, "Output", CellID->1339799775] }, Open ]], Cell[CellGroupData[{ -Cell[8576, 298, 110, 3, 27, "Input", +Cell[8572, 298, 110, 3, 27, "Input", CellID->1275256319], -Cell[8689, 303, 187, 6, 35, "Output", +Cell[8685, 303, 187, 6, 35, "Output", CellID->1407961874] }, Open ]] }, Open ]], -Cell[8903, 313, 31, 0, 70, "SectionFooterSpacer"] +Cell[8899, 313, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8971, 318, 270, 12, 70, "SeeAlsoSection", +Cell[8967, 318, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[9244, 332, 1329, 50, 70, "SeeAlso", +Cell[9240, 332, 1329, 50, 70, "SeeAlso", CellID->780468192] }, Open ]], -Cell[10588, 385, 23, 0, 70, "FooterCell"] +Cell[10584, 385, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUD.nb index 22b2f0e8c..b1e24f7d4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorUD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14462, 512] -NotebookOptionsPosition[ 10515, 384] -NotebookOutlinePosition[ 12937, 453] -CellTagsIndexPosition[ 12826, 447] +NotebookDataLength[ 14466, 512] +NotebookOptionsPosition[ 10516, 384] +NotebookOutlinePosition[ 12940, 453] +CellTagsIndexPosition[ 12829, 447] WindowTitle->SpinorUD WindowFrame->Normal*) @@ -92,7 +92,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$247085], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$248110], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorUD", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->100627945], + CellID->2143837741], Cell[CellGroupData[{ @@ -172,7 +172,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->714870838], + CellID->439349212], Cell[CellGroupData[{ @@ -397,7 +397,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 20.302439}", + "built" -> "{2020, 6, 20, 19, 11, 0.907425}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -426,28 +426,28 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5252, 149, 387, 15, 31, "PrimaryExamplesSection", + Cell[5252, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->100627945]}, + CellID->2143837741]}, "SpinorU"->{ - Cell[5884, 178, 150, 5, 27, "Input", + Cell[5885, 178, 150, 5, 27, "Input", CellTags->"SpinorU", CellID->1066488732], - Cell[6037, 185, 314, 12, 37, "Output", + Cell[6038, 185, 314, 12, 37, "Output", CellTags->"SpinorU", CellID->658020456], - Cell[6863, 222, 127, 4, 27, "Input", + Cell[6864, 222, 127, 4, 27, "Input", CellTags->"SpinorU", CellID->1219506664], - Cell[6993, 228, 270, 10, 37, "Output", + Cell[6994, 228, 270, 10, 37, "Output", CellTags->"SpinorU", CellID->882792700]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12318, 427}, - {"SpinorU", 12452, 431} + {"PrimaryExamplesSection", 12320, 427}, + {"SpinorU", 12455, 431} } *) (*NotebookFileOutline @@ -458,62 +458,62 @@ Cell[4247, 110, 285, 11, 45, "ObjectNameGrid"], Cell[4535, 123, 692, 22, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5252, 149, 387, 15, 31, "PrimaryExamplesSection", +Cell[5252, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->100627945], + CellID->2143837741], Cell[CellGroupData[{ -Cell[5664, 168, 195, 6, 26, "ExampleSection", - CellID->714870838], +Cell[5665, 168, 195, 6, 26, "ExampleSection", + CellID->439349212], Cell[CellGroupData[{ -Cell[5884, 178, 150, 5, 27, "Input", +Cell[5885, 178, 150, 5, 27, "Input", CellTags->"SpinorU", CellID->1066488732], -Cell[6037, 185, 314, 12, 37, "Output", +Cell[6038, 185, 314, 12, 37, "Output", CellTags->"SpinorU", CellID->658020456] }, Open ]], Cell[CellGroupData[{ -Cell[6388, 202, 135, 4, 27, "Input", +Cell[6389, 202, 135, 4, 27, "Input", CellID->2060242592], -Cell[6526, 208, 300, 9, 51, "Output", +Cell[6527, 208, 300, 9, 51, "Output", CellID->1063623654] }, Open ]], Cell[CellGroupData[{ -Cell[6863, 222, 127, 4, 27, "Input", +Cell[6864, 222, 127, 4, 27, "Input", CellTags->"SpinorU", CellID->1219506664], -Cell[6993, 228, 270, 10, 37, "Output", +Cell[6994, 228, 270, 10, 37, "Output", CellTags->"SpinorU", CellID->882792700] }, Open ]], Cell[CellGroupData[{ -Cell[7300, 243, 135, 4, 27, "Input", +Cell[7301, 243, 135, 4, 27, "Input", CellID->1046277707], -Cell[7438, 249, 300, 9, 51, "Output", +Cell[7439, 249, 300, 9, 51, "Output", CellID->1065078839] }, Open ]], Cell[CellGroupData[{ -Cell[7775, 263, 156, 5, 27, "Input", +Cell[7776, 263, 156, 5, 27, "Input", CellID->19834725], -Cell[7934, 270, 497, 20, 37, "Output", +Cell[7935, 270, 497, 20, 37, "Output", CellID->100090183] }, Open ]], Cell[CellGroupData[{ -Cell[8468, 295, 110, 3, 27, "Input", +Cell[8469, 295, 110, 3, 27, "Input", CellID->1275256319], -Cell[8581, 300, 186, 6, 35, "Output", +Cell[8582, 300, 186, 6, 35, "Output", CellID->633382777] }, Open ]] }, Open ]], -Cell[8794, 310, 31, 0, 70, "SectionFooterSpacer"] +Cell[8795, 310, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8862, 315, 270, 12, 70, "SeeAlsoSection", +Cell[8863, 315, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[9135, 329, 1338, 50, 70, "SeeAlso", +Cell[9136, 329, 1338, 50, 70, "SeeAlso", CellID->694651819] }, Open ]], -Cell[10488, 382, 23, 0, 70, "FooterCell"] +Cell[10489, 382, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorV.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorV.nb index 225cd21ce..2b8caa25a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorV.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorV.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14208, 501] +NotebookDataLength[ 14153, 500] NotebookOptionsPosition[ 10373, 379] -NotebookOutlinePosition[ 12805, 448] -CellTagsIndexPosition[ 12694, 442] +NotebookOutlinePosition[ 12750, 447] +CellTagsIndexPosition[ 12639, 441] WindowTitle->SpinorV WindowFrame->Normal*) @@ -92,7 +92,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$249345], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$250370], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorV", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->930877862], + CellID->1567023148], Cell[CellGroupData[{ @@ -171,7 +171,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1178405923], + CellID->421541224], Cell[CellGroupData[{ @@ -379,8 +379,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowSize->{808, 840}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"SpinorV", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -392,7 +392,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 26.503755}", + "built" -> "{2020, 6, 20, 19, 11, 6.347038}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -412,8 +412,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -423,9 +422,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5216, 148, 387, 15, 31, "PrimaryExamplesSection", + Cell[5216, 148, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->930877862]}, + CellID->1567023148]}, "SpinorU"->{ Cell[5849, 177, 149, 5, 27, "Input", CellTags->"SpinorU", @@ -441,8 +440,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12231, 424}, - {"SpinorU", 12365, 428} + {"PrimaryExamplesSection", 12175, 423}, + {"SpinorU", 12310, 427} } *) (*NotebookFileOutline @@ -453,12 +452,12 @@ Cell[4244, 110, 284, 11, 45, "ObjectNameGrid"], Cell[4531, 123, 660, 21, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5216, 148, 387, 15, 31, "PrimaryExamplesSection", +Cell[5216, 148, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->930877862], + CellID->1567023148], Cell[CellGroupData[{ -Cell[5628, 167, 196, 6, 26, "ExampleSection", - CellID->1178405923], +Cell[5629, 167, 195, 6, 26, "ExampleSection", + CellID->421541224], Cell[CellGroupData[{ Cell[5849, 177, 149, 5, 27, "Input", CellTags->"SpinorU", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVBar.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVBar.nb index 6f572c03f..c714d13eb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVBar.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVBar.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14322, 504] +NotebookDataLength[ 14323, 504] NotebookOptionsPosition[ 10508, 383] -NotebookOutlinePosition[ 12917, 451] -CellTagsIndexPosition[ 12806, 445] +NotebookOutlinePosition[ 12918, 451] +CellTagsIndexPosition[ 12807, 445] WindowTitle->SpinorVBar WindowFrame->Normal*) @@ -92,7 +92,7 @@ SpinorVBar.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$248441], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$249466], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorVBar", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1529551905], + CellID->1188660977], Cell[CellGroupData[{ @@ -172,7 +172,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1794703897], + CellID->1284865529], Cell[CellGroupData[{ @@ -383,8 +383,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SpinorVBar", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -396,7 +396,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 24.218279}", + "built" -> "{2020, 6, 20, 19, 11, 4.142015}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -428,7 +428,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5277, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1529551905]}, + CellID->1188660977]}, "SpinorU"->{ Cell[5911, 178, 152, 5, 27, "Input", CellTags->"SpinorU", @@ -444,8 +444,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12341, 427}, - {"SpinorU", 12476, 431} + {"PrimaryExamplesSection", 12342, 427}, + {"SpinorU", 12477, 431} } *) (*NotebookFileOutline @@ -458,10 +458,10 @@ Cell[4544, 123, 708, 22, 85, "Usage", Cell[CellGroupData[{ Cell[5277, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1529551905], + CellID->1188660977], Cell[CellGroupData[{ Cell[5690, 168, 196, 6, 26, "ExampleSection", - CellID->1794703897], + CellID->1284865529], Cell[CellGroupData[{ Cell[5911, 178, 152, 5, 27, "Input", CellTags->"SpinorU", @@ -497,7 +497,7 @@ Cell[8487, 295, 110, 3, 27, "Input", Cell[8600, 300, 166, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[8793, 309, 31, 0, 70, "SectionFooterSpacer"] +Cell[8793, 309, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ Cell[8861, 314, 270, 12, 70, "SeeAlsoSection", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVBarD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVBarD.nb index c84d62081..59ed01d39 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVBarD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVBarD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14651, 520] -NotebookOptionsPosition[ 10662, 391] -NotebookOutlinePosition[ 13122, 461] -CellTagsIndexPosition[ 13011, 455] +NotebookDataLength[ 14655, 520] +NotebookOptionsPosition[ 10663, 391] +NotebookOutlinePosition[ 13125, 461] +CellTagsIndexPosition[ 13014, 455] WindowTitle->SpinorVBarD WindowFrame->Normal*) @@ -92,7 +92,7 @@ SpinorVBarD.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$247989], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$249014], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorVBarD", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->795507055], + CellID->1245915023], Cell[CellGroupData[{ @@ -172,7 +172,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1325088500], + CellID->1228120565], Cell[CellGroupData[{ @@ -404,7 +404,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 23.015739}", + "built" -> "{2020, 6, 20, 19, 11, 3.032387}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -434,28 +434,28 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5277, 149, 387, 15, 31, "PrimaryExamplesSection", + Cell[5277, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->795507055]}, + CellID->1245915023]}, "SpinorU"->{ - Cell[5910, 178, 153, 5, 27, "Input", + Cell[5911, 178, 153, 5, 27, "Input", CellTags->"SpinorU", CellID->1066488732], - Cell[6066, 185, 338, 13, 37, "Output", + Cell[6067, 185, 338, 13, 37, "Output", CellTags->"SpinorU", CellID->260595618], - Cell[6939, 225, 130, 4, 27, "Input", + Cell[6940, 225, 130, 4, 27, "Input", CellTags->"SpinorU", CellID->1219506664], - Cell[7072, 231, 295, 11, 37, "Output", + Cell[7073, 231, 295, 11, 37, "Output", CellTags->"SpinorU", CellID->1512984979]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12502, 435}, - {"SpinorU", 12636, 439} + {"PrimaryExamplesSection", 12504, 435}, + {"SpinorU", 12639, 439} } *) (*NotebookFileOutline @@ -466,62 +466,62 @@ Cell[4257, 110, 288, 11, 45, "ObjectNameGrid"], Cell[4548, 123, 704, 22, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5277, 149, 387, 15, 31, "PrimaryExamplesSection", +Cell[5277, 149, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->795507055], + CellID->1245915023], Cell[CellGroupData[{ -Cell[5689, 168, 196, 6, 26, "ExampleSection", - CellID->1325088500], +Cell[5690, 168, 196, 6, 26, "ExampleSection", + CellID->1228120565], Cell[CellGroupData[{ -Cell[5910, 178, 153, 5, 27, "Input", +Cell[5911, 178, 153, 5, 27, "Input", CellTags->"SpinorU", CellID->1066488732], -Cell[6066, 185, 338, 13, 37, "Output", +Cell[6067, 185, 338, 13, 37, "Output", CellTags->"SpinorU", CellID->260595618] }, Open ]], Cell[CellGroupData[{ -Cell[6441, 203, 135, 4, 27, "Input", +Cell[6442, 203, 135, 4, 27, "Input", CellID->2060242592], -Cell[6579, 209, 323, 11, 51, "Output", +Cell[6580, 209, 323, 11, 51, "Output", CellID->1722913412] }, Open ]], Cell[CellGroupData[{ -Cell[6939, 225, 130, 4, 27, "Input", +Cell[6940, 225, 130, 4, 27, "Input", CellTags->"SpinorU", CellID->1219506664], -Cell[7072, 231, 295, 11, 37, "Output", +Cell[7073, 231, 295, 11, 37, "Output", CellTags->"SpinorU", CellID->1512984979] }, Open ]], Cell[CellGroupData[{ -Cell[7404, 247, 135, 4, 27, "Input", +Cell[7405, 247, 135, 4, 27, "Input", CellID->1046277707], -Cell[7542, 253, 322, 11, 51, "Output", +Cell[7543, 253, 322, 11, 51, "Output", CellID->602233374] }, Open ]], Cell[CellGroupData[{ -Cell[7901, 269, 159, 5, 27, "Input", +Cell[7902, 269, 159, 5, 27, "Input", CellID->19834725], -Cell[8063, 276, 524, 21, 37, "Output", +Cell[8064, 276, 524, 21, 37, "Output", CellID->1007368411] }, Open ]], Cell[CellGroupData[{ -Cell[8624, 302, 110, 3, 27, "Input", +Cell[8625, 302, 110, 3, 27, "Input", CellID->1275256319], -Cell[8737, 307, 186, 6, 35, "Output", +Cell[8738, 307, 186, 6, 35, "Output", CellID->288354181] }, Open ]] }, Open ]], -Cell[8950, 317, 31, 0, 70, "SectionFooterSpacer"] +Cell[8951, 317, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9018, 322, 270, 12, 70, "SeeAlsoSection", +Cell[9019, 322, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[9291, 336, 1329, 50, 70, "SeeAlso", +Cell[9292, 336, 1329, 50, 70, "SeeAlso", CellID->780468192] }, Open ]], -Cell[10635, 389, 23, 0, 70, "FooterCell"] +Cell[10636, 389, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVD.nb index 9c6a344e1..77a6b838f 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SpinorVD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14535, 516] +NotebookDataLength[ 14481, 515] NotebookOptionsPosition[ 10530, 387] -NotebookOutlinePosition[ 13008, 457] -CellTagsIndexPosition[ 12897, 451] +NotebookOutlinePosition[ 12954, 456] +CellTagsIndexPosition[ 12843, 450] WindowTitle->SpinorVD WindowFrame->Normal*) @@ -92,7 +92,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$248893], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$249918], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SpinorVD", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->375942548], + CellID->686211713], Cell[CellGroupData[{ @@ -171,7 +171,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->195895847], + CellID->354755646], Cell[CellGroupData[{ @@ -388,7 +388,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SpinorVD", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -400,7 +400,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 25.391246}", + "built" -> "{2020, 6, 20, 19, 11, 5.246404}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -419,8 +419,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -432,7 +431,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5221, 148, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->375942548]}, + CellID->686211713]}, "SpinorU"->{ Cell[5853, 177, 150, 5, 27, "Input", CellTags->"SpinorU", @@ -450,8 +449,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12388, 431}, - {"SpinorU", 12522, 435} + {"PrimaryExamplesSection", 12334, 430}, + {"SpinorU", 12468, 434} } *) (*NotebookFileOutline @@ -464,10 +463,10 @@ Cell[4535, 123, 661, 21, 85, "Usage", Cell[CellGroupData[{ Cell[5221, 148, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->375942548], + CellID->686211713], Cell[CellGroupData[{ Cell[5633, 167, 195, 6, 26, "ExampleSection", - CellID->195895847], + CellID->354755646], Cell[CellGroupData[{ Cell[5853, 177, 150, 5, 27, "Input", CellTags->"SpinorU", @@ -509,7 +508,7 @@ Cell[8595, 303, 187, 6, 35, "Output", CellID->2088412432] }, Open ]] }, Open ]], -Cell[8809, 313, 31, 0, 70, "SectionFooterSpacer"] +Cell[8809, 313, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ Cell[8877, 318, 270, 12, 70, "SeeAlsoSection", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SplittingFunction.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SplittingFunction.nb index d04e6c9a6..d03eb9f7b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SplittingFunction.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SplittingFunction.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 59813, 2072] -NotebookOptionsPosition[ 47371, 1683] -NotebookOutlinePosition[ 54014, 1869] -CellTagsIndexPosition[ 53891, 1863] +NotebookDataLength[ 59756, 2071] +NotebookOptionsPosition[ 47370, 1683] +NotebookOutlinePosition[ 53958, 1868] +CellTagsIndexPosition[ 53835, 1862] WindowTitle->SplittingFunction WindowFrame->Normal*) @@ -79,7 +79,7 @@ SplittingFunction.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$249794], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$250819], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SplittingFunction", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1521387340], + CellID->617359493], Cell["", "SectionHeaderSpacer"], @@ -171,7 +171,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"Polarization", "\[Rule]", "1"}], "}"}], TraditionalForm]], "Output", - ImageSize->{110, 14}, + ImageSize->{110, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"SplittingFunction", @@ -197,7 +197,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1337686776], + CellID->105283927], Cell[CellGroupData[{ @@ -207,7 +207,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->825458383], + CellID->1381181301], Cell["Unpolarized case:", "Notes"], @@ -1684,7 +1684,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SplittingFunction", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1696,7 +1696,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 27.743938}", + "built" -> "{2020, 6, 20, 19, 11, 7.545410}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1716,8 +1716,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -1727,143 +1726,143 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "SplittingFunction"->{ - Cell[5295, 162, 151, 4, 70, "Input", + Cell[5294, 162, 151, 4, 27, "Input", CellTags->"SplittingFunction", CellID->414842319], - Cell[5449, 168, 266, 9, 35, "Output", + Cell[5448, 168, 266, 9, 37, "Output", CellTags->"SplittingFunction"], - Cell[6424, 213, 214, 4, 48, "Notes", + Cell[6423, 213, 214, 4, 48, "Notes", CellTags->"SplittingFunction", CellID->1814679407], - Cell[6663, 221, 347, 10, 29, "Input", + Cell[6662, 221, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->2029473456], - Cell[7013, 233, 616, 22, 57, "Output", + Cell[7012, 233, 616, 22, 57, "Output", CellTags->"SplittingFunction"], - Cell[7666, 260, 347, 10, 29, "Input", + Cell[7665, 260, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1960078762], - Cell[8016, 272, 386, 13, 42, "Output", + Cell[8015, 272, 386, 13, 42, "Output", CellTags->"SplittingFunction"], - Cell[8439, 290, 347, 10, 29, "Input", + Cell[8438, 290, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1606503237], - Cell[8789, 302, 354, 12, 55, "Output", + Cell[8788, 302, 354, 12, 55, "Output", CellTags->"SplittingFunction"], - Cell[9180, 319, 347, 10, 29, "Input", + Cell[9179, 319, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1592599209], - Cell[9530, 331, 944, 32, 57, "Output", + Cell[9529, 331, 944, 32, 57, "Output", CellTags->"SplittingFunction"], - Cell[10511, 368, 347, 10, 29, "Input", + Cell[10510, 368, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1202955773], - Cell[10861, 380, 1332, 45, 98, "Output", + Cell[10860, 380, 1332, 45, 98, "Output", CellTags->"SplittingFunction"], - Cell[12230, 430, 346, 10, 29, "Input", + Cell[12229, 430, 346, 10, 29, "Input", CellTags->"SplittingFunction", CellID->549448603], - Cell[12579, 442, 588, 21, 37, "Output", + Cell[12578, 442, 588, 21, 37, "Output", CellTags->"SplittingFunction"], - Cell[13204, 468, 346, 10, 29, "Input", + Cell[13203, 468, 346, 10, 29, "Input", CellTags->"SplittingFunction", CellID->715685164], - Cell[13553, 480, 832, 27, 42, "Output", + Cell[13552, 480, 832, 27, 42, "Output", CellTags->"SplittingFunction", CellID->700079032], - Cell[14400, 510, 346, 10, 29, "Input", + Cell[14399, 510, 346, 10, 29, "Input", CellTags->"SplittingFunction", CellID->443108438], - Cell[14806, 526, 347, 10, 29, "Input", + Cell[14805, 526, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1751600770], - Cell[15156, 538, 616, 22, 57, "Output", + Cell[15155, 538, 616, 22, 57, "Output", CellTags->"SplittingFunction"], - Cell[15809, 565, 347, 10, 29, "Input", + Cell[15808, 565, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->715841852], - Cell[16159, 577, 321, 11, 37, "Output", + Cell[16158, 577, 321, 11, 37, "Output", CellTags->"SplittingFunction"], - Cell[16517, 593, 348, 10, 29, "Input", + Cell[16516, 593, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1646523691], - Cell[16868, 605, 320, 11, 37, "Output", + Cell[16867, 605, 320, 11, 37, "Output", CellTags->"SplittingFunction"], - Cell[17225, 621, 348, 10, 29, "Input", + Cell[17224, 621, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1231189034], - Cell[17576, 633, 897, 31, 57, "Output", + Cell[17575, 633, 897, 31, 57, "Output", CellTags->"SplittingFunction"], - Cell[18510, 669, 346, 10, 29, "Input", + Cell[18509, 669, 346, 10, 29, "Input", CellTags->"SplittingFunction", CellID->98129728], - Cell[18859, 681, 1333, 45, 98, "Output", + Cell[18858, 681, 1333, 45, 98, "Output", CellTags->"SplittingFunction"], - Cell[20229, 731, 348, 10, 29, "Input", + Cell[20228, 731, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1908869685], - Cell[20580, 743, 589, 21, 37, "Output", + Cell[20579, 743, 589, 21, 37, "Output", CellTags->"SplittingFunction"], - Cell[21206, 769, 349, 10, 29, "Input", + Cell[21205, 769, 349, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1649871241], - Cell[21558, 781, 531, 19, 37, "Output", + Cell[21557, 781, 531, 19, 37, "Output", CellTags->"SplittingFunction"], - Cell[22126, 805, 348, 10, 29, "Input", + Cell[22125, 805, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1552619850], - Cell[22477, 817, 531, 19, 37, "Output", + Cell[22476, 817, 531, 19, 37, "Output", CellTags->"SplittingFunction"], - Cell[23045, 841, 347, 10, 29, "Input", + Cell[23044, 841, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->81713985], - Cell[23395, 853, 531, 19, 37, "Output", + Cell[23394, 853, 531, 19, 37, "Output", CellTags->"SplittingFunction"], - Cell[23963, 877, 348, 10, 29, "Input", + Cell[23962, 877, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1048960999], - Cell[24314, 889, 1448, 49, 99, "Output", + Cell[24313, 889, 1448, 49, 99, "Output", CellTags->"SplittingFunction"], - Cell[25799, 943, 349, 10, 29, "Input", + Cell[25798, 943, 349, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1079830623], - Cell[26151, 955, 1448, 49, 99, "Output", + Cell[26150, 955, 1448, 49, 99, "Output", CellTags->"SplittingFunction"], - Cell[27636, 1009, 349, 10, 29, "Input", + Cell[27635, 1009, 349, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1747750059], - Cell[27988, 1021, 723, 25, 42, "Output", + Cell[27987, 1021, 723, 25, 42, "Output", CellTags->"SplittingFunction"], - Cell[28748, 1051, 349, 10, 29, "Input", + Cell[28747, 1051, 349, 10, 29, "Input", CellTags->"SplittingFunction", CellID->111584241], - Cell[29100, 1063, 5472, 177, 394, "Output", + Cell[29099, 1063, 5472, 177, 394, "Output", CellTags->"SplittingFunction"], - Cell[34609, 1245, 348, 10, 29, "Input", + Cell[34608, 1245, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1622861813], - Cell[34960, 1257, 2993, 95, 131, "Output", + Cell[34959, 1257, 2993, 95, 131, "Output", CellTags->"SplittingFunction"], - Cell[37990, 1357, 347, 10, 29, "Input", + Cell[37989, 1357, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->747834490], - Cell[38340, 1369, 3671, 120, 226, "Output", + Cell[38339, 1369, 3671, 120, 226, "Output", CellTags->"SplittingFunction"], - Cell[42048, 1494, 348, 10, 29, "Input", + Cell[42047, 1494, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1886436228], - Cell[42399, 1506, 4345, 142, 254, "Output", + Cell[42398, 1506, 4345, 142, 254, "Output", CellTags->"SplittingFunction"]}, "PrimaryExamplesSection"->{ - Cell[5776, 184, 388, 15, 31, "PrimaryExamplesSection", + Cell[5775, 184, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1337686776]} + CellID->105283927]} } *) (*CellTagsIndex CellTagsIndex->{ - {"SplittingFunction", 49273, 1728}, - {"PrimaryExamplesSection", 53747, 1856} + {"SplittingFunction", 49218, 1727}, + {"PrimaryExamplesSection", 53692, 1855} } *) (*NotebookFileOutline @@ -1875,205 +1874,205 @@ Cell[CellGroupData[{ Cell[3970, 112, 502, 16, 87, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4497, 132, 739, 24, 31, "NotesSection", +Cell[4497, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1521387340], -Cell[5239, 158, 31, 0, 70, "SectionHeaderSpacer"], + CellID->617359493], +Cell[5238, 158, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5295, 162, 151, 4, 70, "Input", +Cell[5294, 162, 151, 4, 27, "Input", CellTags->"SplittingFunction", CellID->414842319], -Cell[5449, 168, 266, 9, 35, "Output", +Cell[5448, 168, 266, 9, 37, "Output", CellTags->"SplittingFunction"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5776, 184, 388, 15, 31, "PrimaryExamplesSection", +Cell[5775, 184, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1337686776], + CellID->105283927], Cell[CellGroupData[{ -Cell[6189, 203, 195, 6, 26, "ExampleSection", - CellID->825458383], -Cell[6387, 211, 34, 0, 32, "Notes"], -Cell[6424, 213, 214, 4, 48, "Notes", +Cell[6187, 203, 196, 6, 26, "ExampleSection", + CellID->1381181301], +Cell[6386, 211, 34, 0, 32, "Notes"], +Cell[6423, 213, 214, 4, 48, "Notes", CellTags->"SplittingFunction", CellID->1814679407], Cell[CellGroupData[{ -Cell[6663, 221, 347, 10, 29, "Input", +Cell[6662, 221, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->2029473456], -Cell[7013, 233, 616, 22, 57, "Output", +Cell[7012, 233, 616, 22, 57, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[7666, 260, 347, 10, 29, "Input", +Cell[7665, 260, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1960078762], -Cell[8016, 272, 386, 13, 42, "Output", +Cell[8015, 272, 386, 13, 42, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[8439, 290, 347, 10, 29, "Input", +Cell[8438, 290, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1606503237], -Cell[8789, 302, 354, 12, 55, "Output", +Cell[8788, 302, 354, 12, 55, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[9180, 319, 347, 10, 29, "Input", +Cell[9179, 319, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1592599209], -Cell[9530, 331, 944, 32, 57, "Output", +Cell[9529, 331, 944, 32, 57, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[10511, 368, 347, 10, 29, "Input", +Cell[10510, 368, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1202955773], -Cell[10861, 380, 1332, 45, 98, "Output", +Cell[10860, 380, 1332, 45, 98, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[12230, 430, 346, 10, 29, "Input", +Cell[12229, 430, 346, 10, 29, "Input", CellTags->"SplittingFunction", CellID->549448603], -Cell[12579, 442, 588, 21, 37, "Output", +Cell[12578, 442, 588, 21, 37, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[13204, 468, 346, 10, 29, "Input", +Cell[13203, 468, 346, 10, 29, "Input", CellTags->"SplittingFunction", CellID->715685164], -Cell[13553, 480, 832, 27, 42, "Output", +Cell[13552, 480, 832, 27, 42, "Output", CellTags->"SplittingFunction", CellID->700079032] }, Open ]], -Cell[14400, 510, 346, 10, 29, "Input", +Cell[14399, 510, 346, 10, 29, "Input", CellTags->"SplittingFunction", CellID->443108438], -Cell[14749, 522, 32, 0, 32, "Notes"], +Cell[14748, 522, 32, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[14806, 526, 347, 10, 29, "Input", +Cell[14805, 526, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1751600770], -Cell[15156, 538, 616, 22, 57, "Output", +Cell[15155, 538, 616, 22, 57, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[15809, 565, 347, 10, 29, "Input", +Cell[15808, 565, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->715841852], -Cell[16159, 577, 321, 11, 37, "Output", +Cell[16158, 577, 321, 11, 37, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[16517, 593, 348, 10, 29, "Input", +Cell[16516, 593, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1646523691], -Cell[16868, 605, 320, 11, 37, "Output", +Cell[16867, 605, 320, 11, 37, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[17225, 621, 348, 10, 29, "Input", +Cell[17224, 621, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1231189034], -Cell[17576, 633, 897, 31, 57, "Output", +Cell[17575, 633, 897, 31, 57, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[18510, 669, 346, 10, 29, "Input", +Cell[18509, 669, 346, 10, 29, "Input", CellTags->"SplittingFunction", CellID->98129728], -Cell[18859, 681, 1333, 45, 98, "Output", +Cell[18858, 681, 1333, 45, 98, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[20229, 731, 348, 10, 29, "Input", +Cell[20228, 731, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1908869685], -Cell[20580, 743, 589, 21, 37, "Output", +Cell[20579, 743, 589, 21, 37, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[21206, 769, 349, 10, 29, "Input", +Cell[21205, 769, 349, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1649871241], -Cell[21558, 781, 531, 19, 37, "Output", +Cell[21557, 781, 531, 19, 37, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[22126, 805, 348, 10, 29, "Input", +Cell[22125, 805, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1552619850], -Cell[22477, 817, 531, 19, 37, "Output", +Cell[22476, 817, 531, 19, 37, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[23045, 841, 347, 10, 29, "Input", +Cell[23044, 841, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->81713985], -Cell[23395, 853, 531, 19, 37, "Output", +Cell[23394, 853, 531, 19, 37, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[23963, 877, 348, 10, 29, "Input", +Cell[23962, 877, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1048960999], -Cell[24314, 889, 1448, 49, 99, "Output", +Cell[24313, 889, 1448, 49, 99, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[25799, 943, 349, 10, 29, "Input", +Cell[25798, 943, 349, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1079830623], -Cell[26151, 955, 1448, 49, 99, "Output", +Cell[26150, 955, 1448, 49, 99, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[27636, 1009, 349, 10, 29, "Input", +Cell[27635, 1009, 349, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1747750059], -Cell[27988, 1021, 723, 25, 42, "Output", +Cell[27987, 1021, 723, 25, 42, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[28748, 1051, 349, 10, 29, "Input", +Cell[28747, 1051, 349, 10, 29, "Input", CellTags->"SplittingFunction", CellID->111584241], -Cell[29100, 1063, 5472, 177, 394, "Output", +Cell[29099, 1063, 5472, 177, 394, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[34609, 1245, 348, 10, 29, "Input", +Cell[34608, 1245, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1622861813], -Cell[34960, 1257, 2993, 95, 131, "Output", +Cell[34959, 1257, 2993, 95, 131, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[37990, 1357, 347, 10, 29, "Input", +Cell[37989, 1357, 347, 10, 29, "Input", CellTags->"SplittingFunction", CellID->747834490], -Cell[38340, 1369, 3671, 120, 226, "Output", +Cell[38339, 1369, 3671, 120, 226, "Output", CellTags->"SplittingFunction"] }, Open ]], Cell[CellGroupData[{ -Cell[42048, 1494, 348, 10, 29, "Input", +Cell[42047, 1494, 348, 10, 29, "Input", CellTags->"SplittingFunction", CellID->1886436228], -Cell[42399, 1506, 4345, 142, 254, "Output", +Cell[42398, 1506, 4345, 142, 254, "Output", CellTags->"SplittingFunction"] }, Open ]] }, Open ]], -Cell[46771, 1652, 31, 0, 29, "SectionFooterSpacer"] +Cell[46770, 1652, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[46839, 1657, 270, 12, 31, "SeeAlsoSection", +Cell[46838, 1657, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[47112, 1671, 217, 7, 56, "SeeAlso"] +Cell[47111, 1671, 217, 7, 56, "SeeAlso"] }, Open ]], -Cell[47344, 1681, 23, 0, 41, "FooterCell"] +Cell[47343, 1681, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SquareAmplitude.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SquareAmplitude.nb index 91ea60f28..b61b06ecd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SquareAmplitude.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SquareAmplitude.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15182, 522] -NotebookOptionsPosition[ 11155, 394] -NotebookOutlinePosition[ 13341, 452] -CellTagsIndexPosition[ 13256, 447] +NotebookDataLength[ 15127, 521] +NotebookOptionsPosition[ 11156, 394] +NotebookOutlinePosition[ 13285, 451] +CellTagsIndexPosition[ 13200, 446] WindowTitle->SquareAmplitude WindowFrame->Normal*) @@ -59,7 +59,7 @@ SquareAmplitude.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$251173], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$252198], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SquareAmplitude", ".html"]], None}]}]}, @@ -138,7 +138,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1247766488], + CellID->323547814], Cell["", "SectionHeaderSpacer"], @@ -166,7 +166,7 @@ Cell[BoxData[ RowBox[{"Real", "\[Rule]", "False"}], ",", RowBox[{"List", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{400, 34}, + ImageSize->{400, 35}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[62]=", @@ -192,7 +192,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->748835101], + CellID->2128006190], Cell[CellGroupData[{ @@ -202,7 +202,7 @@ Cell[TextData[{ Cell["(4)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->665919789], + CellID->1012308298], Cell[BoxData[ RowBox[{"Clear", "[", @@ -236,7 +236,7 @@ Cell[BoxData[ RowBox[{"a3", " ", "b1"}], ",", RowBox[{"a3", " ", "b2"}], ",", RowBox[{"a3", " ", "b3"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{382, 14}, + ImageSize->{382, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[2]=", @@ -395,7 +395,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"SquareAmplitude", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -407,7 +407,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 31.775865}", + "built" -> "{2020, 6, 20, 19, 11, 10.760480}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -428,8 +428,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -439,14 +438,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5612, 179, 387, 15, 31, "PrimaryExamplesSection", + Cell[5611, 179, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->748835101]} + CellID->2128006190]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13113, 440} + {"PrimaryExamplesSection", 13056, 439} } *) (*NotebookFileOutline @@ -458,72 +457,72 @@ Cell[CellGroupData[{ Cell[3209, 91, 726, 21, 106, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3960, 116, 739, 24, 31, "NotesSection", +Cell[3960, 116, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1247766488], -Cell[4702, 142, 31, 0, 70, "SectionHeaderSpacer"], -Cell[4736, 144, 133, 4, 70, "Notes", + CellID->323547814], +Cell[4701, 142, 31, 0, 70, "SectionHeaderSpacer"], +Cell[4735, 144, 133, 4, 70, "Notes", CellID->1502175831], Cell[CellGroupData[{ -Cell[4894, 152, 118, 3, 70, "Input", +Cell[4893, 152, 118, 3, 70, "Input", CellID->428918938], -Cell[5015, 157, 536, 15, 55, "Output", +Cell[5014, 157, 536, 15, 56, "Output", CellID->285651048] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5612, 179, 387, 15, 31, "PrimaryExamplesSection", +Cell[5611, 179, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->748835101], + CellID->2128006190], Cell[CellGroupData[{ -Cell[6024, 198, 195, 6, 26, "ExampleSection", - CellID->665919789], -Cell[6222, 206, 174, 5, 27, "Input", +Cell[6024, 198, 196, 6, 26, "ExampleSection", + CellID->1012308298], +Cell[6223, 206, 174, 5, 27, "Input", CellID->1874998504], Cell[CellGroupData[{ -Cell[6421, 215, 259, 8, 27, "Input", +Cell[6422, 215, 259, 8, 27, "Input", CellID->1954182245], -Cell[6683, 225, 547, 17, 35, "Output", +Cell[6684, 225, 547, 17, 37, "Output", CellID->200339766] }, Open ]], Cell[CellGroupData[{ -Cell[7267, 247, 125, 3, 9, "ExampleDelimiter", +Cell[7268, 247, 125, 3, 9, "ExampleDelimiter", CellID->201964494], Cell[CellGroupData[{ -Cell[7417, 254, 305, 9, 27, "Input", +Cell[7418, 254, 305, 9, 27, "Input", CellID->339727845], -Cell[7725, 265, 514, 16, 35, "Output", +Cell[7726, 265, 514, 16, 35, "Output", CellID->320790960] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[8288, 287, 125, 3, 9, "ExampleDelimiter", +Cell[8289, 287, 125, 3, 9, "ExampleDelimiter", CellID->567832013], -Cell[8416, 292, 226, 7, 32, "Notes", +Cell[8417, 292, 226, 7, 32, "Notes", CellID->2020381572], Cell[CellGroupData[{ -Cell[8667, 303, 352, 10, 27, "Input", +Cell[8668, 303, 352, 10, 27, "Input", CellID->1492913147], -Cell[9022, 315, 436, 13, 35, "Output", +Cell[9023, 315, 436, 13, 35, "Output", CellID->746137899] }, Open ]] }, Open ]], Cell[CellGroupData[{ -Cell[9507, 334, 125, 3, 9, "ExampleDelimiter", +Cell[9508, 334, 125, 3, 9, "ExampleDelimiter", CellID->988148519], -Cell[9635, 339, 163, 5, 32, "Notes", +Cell[9636, 339, 163, 5, 32, "Notes", CellID->2100077543], Cell[CellGroupData[{ -Cell[9823, 348, 400, 11, 45, "Input", +Cell[9824, 348, 400, 11, 45, "Input", CellID->253785260], -Cell[10226, 361, 851, 25, 56, "Output", +Cell[10227, 361, 851, 25, 56, "Output", CellID->1192527776] }, Open ]] }, Open ]] }, Open ]] }, Open ]], -Cell[11128, 392, 23, 0, 70, "FooterCell"] +Cell[11129, 392, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/StandardMatrixElement.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/StandardMatrixElement.nb index a8a43cb51..d542c61f9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/StandardMatrixElement.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/StandardMatrixElement.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6933, 209] +NotebookDataLength[ 6935, 209] NotebookOptionsPosition[ 4877, 152] -NotebookOutlinePosition[ 6726, 201] -CellTagsIndexPosition[ 6683, 198] +NotebookOutlinePosition[ 6728, 201] +CellTagsIndexPosition[ 6685, 198] WindowTitle->StandardMatrixElement WindowFrame->Normal*) @@ -79,7 +79,7 @@ StandardMatrixElement.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$251606], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$252631], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/StandardMatrixElement", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 32.929712}", + "built" -> "{2020, 6, 20, 19, 11, 11.757735}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/StandardPropagatorDenominator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/StandardPropagatorDenominator.nb index 5ab41fa16..b0cbf7010 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/StandardPropagatorDenominator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/StandardPropagatorDenominator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10460, 314] +NotebookDataLength[ 10463, 314] NotebookOptionsPosition[ 7278, 227] -NotebookOutlinePosition[ 9841, 290] -CellTagsIndexPosition[ 9757, 285] +NotebookOutlinePosition[ 9844, 290] +CellTagsIndexPosition[ 9760, 285] WindowTitle->StandardPropagatorDenominator WindowFrame->Normal*) @@ -61,7 +61,7 @@ StandardPropagatorDenominator.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$252047], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$253072], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/StandardPropagatorDenominator", ".html"]], None}]}]}, @@ -140,7 +140,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->519354005], + CellID->1838562338], Cell[CellGroupData[{ @@ -150,7 +150,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1736729043], + CellID->752404238], Cell[CellGroupData[{ @@ -240,7 +240,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 34.021302}", + "built" -> "{2020, 6, 20, 19, 11, 12.847882}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -277,14 +277,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4627, 127, 387, 15, 31, "PrimaryExamplesSection", + Cell[4627, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->519354005]} + CellID->1838562338]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9614, 278} + {"PrimaryExamplesSection", 9616, 278} } *) (*NotebookFileOutline @@ -295,12 +295,12 @@ Cell[2984, 78, 306, 11, 45, "ObjectNameGrid"], Cell[3293, 91, 1309, 32, 171, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4627, 127, 387, 15, 31, "PrimaryExamplesSection", +Cell[4627, 127, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->519354005], + CellID->1838562338], Cell[CellGroupData[{ -Cell[5039, 146, 196, 6, 26, "ExampleSection", - CellID->1736729043], +Cell[5040, 146, 195, 6, 26, "ExampleSection", + CellID->752404238], Cell[CellGroupData[{ Cell[5260, 156, 374, 11, 45, "Input", CellID->127407996], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/StringChomp.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/StringChomp.nb index e5d5d02d0..340bf1924 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/StringChomp.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/StringChomp.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7597, 247] -NotebookOptionsPosition[ 4957, 168] -NotebookOutlinePosition[ 6985, 223] -CellTagsIndexPosition[ 6901, 218] +NotebookDataLength[ 7601, 247] +NotebookOptionsPosition[ 4959, 168] +NotebookOutlinePosition[ 6987, 223] +CellTagsIndexPosition[ 6903, 218] WindowTitle->StringChomp WindowFrame->Normal*) @@ -59,7 +59,7 @@ StringChomp.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$252477], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$253502], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/StringChomp", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->98922809], + CellID->106621236], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->189869183], + CellID->1303177894], Cell[CellGroupData[{ @@ -169,7 +169,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"StringChomp", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -181,7 +181,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 35.134511}", + "built" -> "{2020, 6, 20, 19, 11, 13.842468}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -210,14 +210,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3632, 106, 386, 15, 31, "PrimaryExamplesSection", + Cell[3632, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->98922809]} + CellID->106621236]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 6759, 211} + {"PrimaryExamplesSection", 6760, 211} } *) (*NotebookFileOutline @@ -228,27 +228,27 @@ Cell[2872, 76, 288, 11, 45, "ObjectNameGrid"], Cell[3163, 89, 444, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3632, 106, 386, 15, 31, "PrimaryExamplesSection", +Cell[3632, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->98922809], + CellID->106621236], Cell[CellGroupData[{ -Cell[4043, 125, 195, 6, 26, "ExampleSection", - CellID->189869183], +Cell[4044, 125, 196, 6, 26, "ExampleSection", + CellID->1303177894], Cell[CellGroupData[{ -Cell[4263, 135, 119, 3, 27, "Input", +Cell[4265, 135, 119, 3, 27, "Input", CellID->296966363], -Cell[4385, 140, 197, 6, 35, "Output", +Cell[4387, 140, 197, 6, 35, "Output", CellID->1659907677] }, Open ]], Cell[CellGroupData[{ -Cell[4619, 151, 102, 3, 27, "Input", +Cell[4621, 151, 102, 3, 27, "Input", CellID->1353126443], -Cell[4724, 156, 167, 5, 51, "Output", +Cell[4726, 156, 167, 5, 51, "Output", CellID->1988507982] }, Open ]] }, Open ]] }, Open ]], -Cell[4930, 166, 23, 0, 41, "FooterCell"] +Cell[4932, 166, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SubLoop.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SubLoop.nb index 5c77af866..c6f7f32d4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SubLoop.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SubLoop.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6833, 209] +NotebookDataLength[ 6835, 209] NotebookOptionsPosition[ 4802, 152] -NotebookOutlinePosition[ 6626, 201] -CellTagsIndexPosition[ 6583, 198] +NotebookOutlinePosition[ 6628, 201] +CellTagsIndexPosition[ 6585, 198] WindowTitle->SubLoop WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$252906], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$253931], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SubLoop", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 36.216913}", + "built" -> "{2020, 6, 20, 19, 11, 14.747142}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumP.nb index f51f1d3bb..2d59da364 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumP.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 15347, 563] -NotebookOptionsPosition[ 10544, 403] -NotebookOutlinePosition[ 13650, 496] -CellTagsIndexPosition[ 13542, 490] +NotebookDataLength[ 15289, 562] +NotebookOptionsPosition[ 10543, 403] +NotebookOutlinePosition[ 13593, 495] +CellTagsIndexPosition[ 13485, 489] WindowTitle->SumP WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$253348], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$254373], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SumP", ".html"]], None}]}]}, @@ -169,7 +169,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1669888550], + CellID->295016219], Cell[CellGroupData[{ @@ -179,7 +179,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->434549626], + CellID->587251090], Cell[CellGroupData[{ @@ -403,8 +403,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SumP", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -416,7 +416,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 37.315605}", + "built" -> "{2020, 6, 20, 19, 11, 15.577451}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -435,8 +435,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -446,51 +445,51 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5134, 156, 388, 15, 31, "PrimaryExamplesSection", + Cell[5134, 156, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1669888550]}, + CellID->295016219]}, "SumP"->{ - Cell[5767, 185, 167, 6, 27, "Input", + Cell[5766, 185, 167, 6, 27, "Input", CellTags->"SumP", CellID->2064705419], - Cell[5937, 193, 347, 11, 39, "Output", + Cell[5936, 193, 347, 11, 39, "Output", CellTags->"SumP"], - Cell[6321, 209, 167, 6, 27, "Input", + Cell[6320, 209, 167, 6, 27, "Input", CellTags->"SumP", CellID->1846990318], - Cell[6491, 217, 347, 11, 38, "Output", + Cell[6490, 217, 347, 11, 38, "Output", CellTags->"SumP"], - Cell[6875, 233, 143, 5, 27, "Input", + Cell[6874, 233, 143, 5, 27, "Input", CellTags->"SumP", CellID->1164731188], - Cell[7021, 240, 322, 10, 39, "Output", + Cell[7020, 240, 322, 10, 39, "Output", CellTags->"SumP"], - Cell[7380, 255, 143, 5, 27, "Input", + Cell[7379, 255, 143, 5, 27, "Input", CellTags->"SumP", CellID->1167358521], - Cell[7526, 262, 208, 7, 56, "Output", + Cell[7525, 262, 208, 7, 56, "Output", CellTags->"SumP"], - Cell[7771, 274, 319, 13, 58, "Input", + Cell[7770, 274, 319, 13, 58, "Input", CellTags->"SumP", CellID->1893183879], - Cell[8093, 289, 208, 7, 56, "Output", + Cell[8092, 289, 208, 7, 56, "Output", CellTags->"SumP"], - Cell[8338, 301, 204, 7, 27, "Input", + Cell[8337, 301, 204, 7, 27, "Input", CellTags->"SumP", CellID->1686985952], - Cell[8545, 310, 877, 33, 57, "Output", + Cell[8544, 310, 877, 33, 57, "Output", CellTags->"SumP"], - Cell[9459, 348, 142, 5, 27, "Input", + Cell[9458, 348, 142, 5, 27, "Input", CellTags->"SumP", CellID->1663422834], - Cell[9604, 355, 208, 7, 56, "Output", + Cell[9603, 355, 208, 7, 56, "Output", CellTags->"SumP"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12359, 447}, - {"SumP", 12491, 451} + {"PrimaryExamplesSection", 12303, 446}, + {"SumP", 12434, 450} } *) (*NotebookFileOutline @@ -501,70 +500,70 @@ Cell[3635, 98, 281, 11, 45, "ObjectNameGrid"], Cell[3919, 111, 1190, 41, 93, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5134, 156, 388, 15, 31, "PrimaryExamplesSection", +Cell[5134, 156, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1669888550], + CellID->295016219], Cell[CellGroupData[{ -Cell[5547, 175, 195, 6, 26, "ExampleSection", - CellID->434549626], +Cell[5546, 175, 195, 6, 26, "ExampleSection", + CellID->587251090], Cell[CellGroupData[{ -Cell[5767, 185, 167, 6, 27, "Input", +Cell[5766, 185, 167, 6, 27, "Input", CellTags->"SumP", CellID->2064705419], -Cell[5937, 193, 347, 11, 39, "Output", +Cell[5936, 193, 347, 11, 39, "Output", CellTags->"SumP"] }, Open ]], Cell[CellGroupData[{ -Cell[6321, 209, 167, 6, 27, "Input", +Cell[6320, 209, 167, 6, 27, "Input", CellTags->"SumP", CellID->1846990318], -Cell[6491, 217, 347, 11, 38, "Output", +Cell[6490, 217, 347, 11, 38, "Output", CellTags->"SumP"] }, Open ]], Cell[CellGroupData[{ -Cell[6875, 233, 143, 5, 27, "Input", +Cell[6874, 233, 143, 5, 27, "Input", CellTags->"SumP", CellID->1164731188], -Cell[7021, 240, 322, 10, 39, "Output", +Cell[7020, 240, 322, 10, 39, "Output", CellTags->"SumP"] }, Open ]], Cell[CellGroupData[{ -Cell[7380, 255, 143, 5, 27, "Input", +Cell[7379, 255, 143, 5, 27, "Input", CellTags->"SumP", CellID->1167358521], -Cell[7526, 262, 208, 7, 56, "Output", +Cell[7525, 262, 208, 7, 56, "Output", CellTags->"SumP"] }, Open ]], Cell[CellGroupData[{ -Cell[7771, 274, 319, 13, 58, "Input", +Cell[7770, 274, 319, 13, 58, "Input", CellTags->"SumP", CellID->1893183879], -Cell[8093, 289, 208, 7, 56, "Output", +Cell[8092, 289, 208, 7, 56, "Output", CellTags->"SumP"] }, Open ]], Cell[CellGroupData[{ -Cell[8338, 301, 204, 7, 27, "Input", +Cell[8337, 301, 204, 7, 27, "Input", CellTags->"SumP", CellID->1686985952], -Cell[8545, 310, 877, 33, 57, "Output", +Cell[8544, 310, 877, 33, 57, "Output", CellTags->"SumP"] }, Open ]], Cell[CellGroupData[{ -Cell[9459, 348, 142, 5, 27, "Input", +Cell[9458, 348, 142, 5, 27, "Input", CellTags->"SumP", CellID->1663422834], -Cell[9604, 355, 208, 7, 56, "Output", +Cell[9603, 355, 208, 7, 56, "Output", CellTags->"SumP"] }, Open ]] }, Open ]], -Cell[9839, 366, 31, 0, 70, "SectionFooterSpacer"] +Cell[9838, 366, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9907, 371, 270, 12, 70, "SeeAlsoSection", +Cell[9906, 371, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[10180, 385, 322, 13, 70, "SeeAlso"] +Cell[10179, 385, 322, 13, 56, "SeeAlso"] }, Open ]], -Cell[10517, 401, 23, 0, 70, "FooterCell"] +Cell[10516, 401, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumS.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumS.nb index df0745b2c..650d1b8fd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumS.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumS.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 22612, 862] -NotebookOptionsPosition[ 15095, 607] -NotebookOutlinePosition[ 19501, 739] -CellTagsIndexPosition[ 19393, 733] +NotebookDataLength[ 22550, 861] +NotebookOptionsPosition[ 15092, 607] +NotebookOutlinePosition[ 19442, 738] +CellTagsIndexPosition[ 19334, 732] WindowTitle->SumS WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$253789], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$254814], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SumS", ".html"]], None}]}]}, @@ -206,7 +206,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1742453114], + CellID->145453611], Cell["", "SectionHeaderSpacer"], @@ -223,7 +223,7 @@ Cell[BoxData[ RowBox[{"{", RowBox[{"Reduce", "\[Rule]", "False"}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{108, 14}, + ImageSize->{108, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"SumS", @@ -249,7 +249,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1952002760], + CellID->295055199], Cell[CellGroupData[{ @@ -259,7 +259,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1416377860], + CellID->879203334], Cell[CellGroupData[{ @@ -608,7 +608,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SumS", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -620,7 +620,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 38.554768}", + "built" -> "{2020, 6, 20, 19, 11, 16.693228}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -642,8 +642,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -653,87 +652,87 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "SumS"->{ - Cell[6724, 214, 126, 4, 70, "Input", + Cell[6723, 214, 126, 4, 70, "Input", CellTags->"SumS", CellID->2012785240], - Cell[6853, 220, 250, 9, 35, "Output", + Cell[6852, 220, 250, 9, 37, "Output", CellTags->"SumS"], - Cell[7798, 265, 166, 6, 27, "Input", + Cell[7795, 265, 166, 6, 27, "Input", CellTags->"SumS", CellID->632054675], - Cell[7967, 273, 295, 11, 38, "Output", + Cell[7964, 273, 295, 11, 38, "Output", CellTags->"SumS"], - Cell[8299, 289, 167, 6, 27, "Input", + Cell[8296, 289, 167, 6, 27, "Input", CellTags->"SumS", CellID->1183001998], - Cell[8469, 297, 295, 11, 37, "Output", + Cell[8466, 297, 295, 11, 37, "Output", CellTags->"SumS"], - Cell[8801, 313, 161, 6, 27, "Input", + Cell[8798, 313, 161, 6, 27, "Input", CellTags->"SumS", CellID->601997566], - Cell[8965, 321, 290, 11, 38, "Output", + Cell[8962, 321, 290, 11, 38, "Output", CellTags->"SumS"], - Cell[9292, 337, 191, 6, 27, "Input", + Cell[9289, 337, 191, 6, 27, "Input", CellTags->"SumS", CellID->1985675154], - Cell[9486, 345, 346, 13, 56, "Output", + Cell[9483, 345, 346, 13, 56, "Output", CellTags->"SumS"], - Cell[9869, 363, 214, 7, 27, "Input", + Cell[9866, 363, 214, 7, 27, "Input", CellTags->"SumS", CellID->723810100], - Cell[10086, 372, 425, 16, 61, "Output", + Cell[10083, 372, 425, 16, 61, "Output", CellTags->"SumS"], - Cell[10526, 391, 210, 7, 27, "Input", + Cell[10523, 391, 210, 7, 27, "Input", CellTags->"SumS", CellID->1121632488], - Cell[10761, 402, 166, 6, 27, "Input", + Cell[10758, 402, 166, 6, 27, "Input", CellTags->"SumS", CellID->663420944], - Cell[10930, 410, 594, 22, 61, "Output", + Cell[10927, 410, 594, 22, 61, "Output", CellTags->"SumS"], - Cell[11539, 435, 211, 7, 27, "Input", + Cell[11536, 435, 211, 7, 27, "Input", CellTags->"SumS", CellID->1754340999], - Cell[11775, 446, 142, 5, 27, "Input", + Cell[11772, 446, 142, 5, 27, "Input", CellTags->"SumS", CellID->913193894], - Cell[11920, 453, 208, 7, 56, "Output", + Cell[11917, 453, 208, 7, 56, "Output", CellTags->"SumS"], - Cell[12165, 465, 193, 7, 58, "Input", + Cell[12162, 465, 193, 7, 58, "Input", CellTags->"SumS", CellID->1966406647], - Cell[12361, 474, 209, 7, 56, "Output", + Cell[12358, 474, 209, 7, 56, "Output", CellTags->"SumS"], - Cell[12607, 486, 178, 6, 27, "Input", + Cell[12604, 486, 178, 6, 27, "Input", CellTags->"SumS", CellID->1336627111], - Cell[12788, 494, 297, 11, 38, "Output", + Cell[12785, 494, 297, 11, 38, "Output", CellTags->"SumS"], - Cell[13122, 510, 164, 5, 27, "Input", + Cell[13119, 510, 164, 5, 27, "Input", CellTags->"SumS", CellID->796483207], - Cell[13289, 517, 235, 8, 56, "Output", + Cell[13286, 517, 235, 8, 56, "Output", CellTags->"SumS"], - Cell[13561, 530, 162, 6, 27, "Input", + Cell[13558, 530, 162, 6, 27, "Input", CellTags->"SumS", CellID->324759887], - Cell[13726, 538, 227, 8, 55, "Output", + Cell[13723, 538, 227, 8, 55, "Output", CellTags->"SumS"], - Cell[13990, 551, 143, 5, 27, "Input", + Cell[13987, 551, 143, 5, 27, "Input", CellTags->"SumS", CellID->857412373], - Cell[14136, 558, 227, 8, 55, "Output", + Cell[14133, 558, 227, 8, 55, "Output", CellTags->"SumS"]}, "PrimaryExamplesSection"->{ - Cell[7164, 236, 388, 15, 31, "PrimaryExamplesSection", + Cell[7163, 236, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1952002760]} + CellID->295055199]} } *) (*CellTagsIndex CellTagsIndex->{ - {"SumS", 17137, 654}, - {"PrimaryExamplesSection", 19249, 726} + {"SumS", 17079, 653}, + {"PrimaryExamplesSection", 19191, 725} } *) (*NotebookFileOutline @@ -745,125 +744,125 @@ Cell[CellGroupData[{ Cell[3941, 113, 1960, 67, 130, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5926, 184, 739, 24, 31, "NotesSection", +Cell[5926, 184, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1742453114], -Cell[6668, 210, 31, 0, 70, "SectionHeaderSpacer"], + CellID->145453611], +Cell[6667, 210, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[6724, 214, 126, 4, 70, "Input", +Cell[6723, 214, 126, 4, 70, "Input", CellTags->"SumS", CellID->2012785240], -Cell[6853, 220, 250, 9, 35, "Output", +Cell[6852, 220, 250, 9, 37, "Output", CellTags->"SumS"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7164, 236, 388, 15, 31, "PrimaryExamplesSection", +Cell[7163, 236, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1952002760], + CellID->295055199], Cell[CellGroupData[{ -Cell[7577, 255, 196, 6, 26, "ExampleSection", - CellID->1416377860], +Cell[7575, 255, 195, 6, 26, "ExampleSection", + CellID->879203334], Cell[CellGroupData[{ -Cell[7798, 265, 166, 6, 27, "Input", +Cell[7795, 265, 166, 6, 27, "Input", CellTags->"SumS", CellID->632054675], -Cell[7967, 273, 295, 11, 38, "Output", +Cell[7964, 273, 295, 11, 38, "Output", CellTags->"SumS"] }, Open ]], Cell[CellGroupData[{ -Cell[8299, 289, 167, 6, 27, "Input", +Cell[8296, 289, 167, 6, 27, "Input", CellTags->"SumS", CellID->1183001998], -Cell[8469, 297, 295, 11, 37, "Output", +Cell[8466, 297, 295, 11, 37, "Output", CellTags->"SumS"] }, Open ]], Cell[CellGroupData[{ -Cell[8801, 313, 161, 6, 27, "Input", +Cell[8798, 313, 161, 6, 27, "Input", CellTags->"SumS", CellID->601997566], -Cell[8965, 321, 290, 11, 38, "Output", +Cell[8962, 321, 290, 11, 38, "Output", CellTags->"SumS"] }, Open ]], Cell[CellGroupData[{ -Cell[9292, 337, 191, 6, 27, "Input", +Cell[9289, 337, 191, 6, 27, "Input", CellTags->"SumS", CellID->1985675154], -Cell[9486, 345, 346, 13, 56, "Output", +Cell[9483, 345, 346, 13, 56, "Output", CellTags->"SumS"] }, Open ]], Cell[CellGroupData[{ -Cell[9869, 363, 214, 7, 27, "Input", +Cell[9866, 363, 214, 7, 27, "Input", CellTags->"SumS", CellID->723810100], -Cell[10086, 372, 425, 16, 61, "Output", +Cell[10083, 372, 425, 16, 61, "Output", CellTags->"SumS"] }, Open ]], -Cell[10526, 391, 210, 7, 27, "Input", +Cell[10523, 391, 210, 7, 27, "Input", CellTags->"SumS", CellID->1121632488], Cell[CellGroupData[{ -Cell[10761, 402, 166, 6, 27, "Input", +Cell[10758, 402, 166, 6, 27, "Input", CellTags->"SumS", CellID->663420944], -Cell[10930, 410, 594, 22, 61, "Output", +Cell[10927, 410, 594, 22, 61, "Output", CellTags->"SumS"] }, Open ]], -Cell[11539, 435, 211, 7, 27, "Input", +Cell[11536, 435, 211, 7, 27, "Input", CellTags->"SumS", CellID->1754340999], Cell[CellGroupData[{ -Cell[11775, 446, 142, 5, 27, "Input", +Cell[11772, 446, 142, 5, 27, "Input", CellTags->"SumS", CellID->913193894], -Cell[11920, 453, 208, 7, 56, "Output", +Cell[11917, 453, 208, 7, 56, "Output", CellTags->"SumS"] }, Open ]], Cell[CellGroupData[{ -Cell[12165, 465, 193, 7, 58, "Input", +Cell[12162, 465, 193, 7, 58, "Input", CellTags->"SumS", CellID->1966406647], -Cell[12361, 474, 209, 7, 56, "Output", +Cell[12358, 474, 209, 7, 56, "Output", CellTags->"SumS"] }, Open ]], Cell[CellGroupData[{ -Cell[12607, 486, 178, 6, 27, "Input", +Cell[12604, 486, 178, 6, 27, "Input", CellTags->"SumS", CellID->1336627111], -Cell[12788, 494, 297, 11, 38, "Output", +Cell[12785, 494, 297, 11, 38, "Output", CellTags->"SumS"] }, Open ]], Cell[CellGroupData[{ -Cell[13122, 510, 164, 5, 27, "Input", +Cell[13119, 510, 164, 5, 27, "Input", CellTags->"SumS", CellID->796483207], -Cell[13289, 517, 235, 8, 56, "Output", +Cell[13286, 517, 235, 8, 56, "Output", CellTags->"SumS"] }, Open ]], Cell[CellGroupData[{ -Cell[13561, 530, 162, 6, 27, "Input", +Cell[13558, 530, 162, 6, 27, "Input", CellTags->"SumS", CellID->324759887], -Cell[13726, 538, 227, 8, 55, "Output", +Cell[13723, 538, 227, 8, 55, "Output", CellTags->"SumS"] }, Open ]], Cell[CellGroupData[{ -Cell[13990, 551, 143, 5, 27, "Input", +Cell[13987, 551, 143, 5, 27, "Input", CellTags->"SumS", CellID->857412373], -Cell[14136, 558, 227, 8, 55, "Output", +Cell[14133, 558, 227, 8, 55, "Output", CellTags->"SumS"] }, Open ]] }, Open ]], -Cell[14390, 570, 31, 0, 29, "SectionFooterSpacer"] +Cell[14387, 570, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[14458, 575, 270, 12, 31, "SeeAlsoSection", +Cell[14455, 575, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[14731, 589, 322, 13, 56, "SeeAlso"] +Cell[14728, 589, 322, 13, 56, "SeeAlso"] }, Open ]], -Cell[15068, 605, 23, 0, 41, "FooterCell"] +Cell[15065, 605, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumT.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumT.nb index 569486b52..4850d4b90 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumT.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SumT.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21951, 842] +NotebookDataLength[ 21896, 841] NotebookOptionsPosition[ 14469, 585] -NotebookOutlinePosition[ 18885, 719] -CellTagsIndexPosition[ 18777, 713] +NotebookOutlinePosition[ 18830, 718] +CellTagsIndexPosition[ 18722, 712] WindowTitle->SumT WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$254238], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$255263], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SumT", ".html"]], None}]}]}, @@ -153,7 +153,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1671028843], + CellID->1282091876], Cell[CellGroupData[{ @@ -163,7 +163,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->853025860], + CellID->320452027], Cell[CellGroupData[{ @@ -585,8 +585,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"SumT", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -598,7 +598,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 2, 39.831517}", + "built" -> "{2020, 6, 20, 19, 11, 17.885299}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -618,8 +618,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -631,7 +630,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4760, 140, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1671028843]}, + CellID->1282091876]}, "SumT"->{ Cell[5393, 169, 166, 6, 27, "Input", CellTags->"SumT", @@ -712,8 +711,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 16411, 630}, - {"SumT", 16543, 634} + {"PrimaryExamplesSection", 16356, 629}, + {"SumT", 16488, 633} } *) (*NotebookFileOutline @@ -726,10 +725,10 @@ Cell[3919, 111, 816, 25, 105, "Usage", Cell[CellGroupData[{ Cell[4760, 140, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1671028843], + CellID->1282091876], Cell[CellGroupData[{ Cell[5173, 159, 195, 6, 26, "ExampleSection", - CellID->853025860], + CellID->320452027], Cell[CellGroupData[{ Cell[5393, 169, 166, 6, 27, "Input", CellTags->"SumT", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SymbolicSum2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SymbolicSum2.nb index 881b71bf6..39ec984f5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SymbolicSum2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SymbolicSum2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5763, 160] +NotebookDataLength[ 5766, 160] NotebookOptionsPosition[ 3734, 107] -NotebookOutlinePosition[ 5699, 157] -CellTagsIndexPosition[ 5656, 154] +NotebookOutlinePosition[ 5702, 157] +CellTagsIndexPosition[ 5659, 154] WindowTitle->SymbolicSum2 WindowFrame->Normal*) @@ -59,7 +59,7 @@ SymbolicSum2.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$262445], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$263470], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SymbolicSum2", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 2.864271}", + "built" -> "{2020, 6, 20, 19, 11, 37.380208}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SymbolicSum3.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SymbolicSum3.nb index 2f8d927fb..30f8193d3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/SymbolicSum3.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/SymbolicSum3.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5840, 160] +NotebookDataLength[ 5843, 160] NotebookOptionsPosition[ 3790, 107] -NotebookOutlinePosition[ 5776, 157] -CellTagsIndexPosition[ 5733, 154] +NotebookOutlinePosition[ 5779, 157] +CellTagsIndexPosition[ 5736, 154] WindowTitle->SymbolicSymbolicSum3 WindowFrame->Normal*) @@ -59,7 +59,7 @@ SymbolicSymbolicSum3.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$262881], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$263906], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/SymbolicSymbolicSum3", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ TaggingRules->{ BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> Left], "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 3.771265}", + "built" -> "{2020, 6, 20, 19, 11, 38.489562}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TBox.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TBox.nb index 361f83eb5..612b53f2a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TBox.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TBox.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5710, 161] +NotebookDataLength[ 5713, 161] NotebookOptionsPosition[ 3732, 108] -NotebookOutlinePosition[ 5646, 158] -CellTagsIndexPosition[ 5603, 155] +NotebookOutlinePosition[ 5649, 158] +CellTagsIndexPosition[ 5606, 155] WindowTitle->TBox WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$263317], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$264342], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TBox", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 4.840638}", + "built" -> "{2020, 6, 20, 19, 11, 39.326740}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TC.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TC.nb index f0bdb5cd6..d70ba88c5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TC.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TC.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9399, 327] -NotebookOptionsPosition[ 6356, 233] -NotebookOutlinePosition[ 8424, 289] -CellTagsIndexPosition[ 8340, 284] +NotebookDataLength[ 9408, 327] +NotebookOptionsPosition[ 6358, 233] +NotebookOutlinePosition[ 8431, 289] +CellTagsIndexPosition[ 8347, 284] WindowTitle->TC WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$263761], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$264786], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TC", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1745351820], + CellID->1691726273], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->54384102], + CellID->1103044366], Cell[CellGroupData[{ @@ -234,7 +234,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TC", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -246,7 +246,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 5.662115}", + "built" -> "{2020, 6, 20, 19, 11, 40.097574}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -278,12 +278,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3621, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1745351820]} + CellID->1691726273]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8196, 277} + {"PrimaryExamplesSection", 8203, 277} } *) (*NotebookFileOutline @@ -296,39 +296,39 @@ Cell[3121, 89, 475, 13, 102, "Usage", Cell[CellGroupData[{ Cell[3621, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1745351820], + CellID->1691726273], Cell[CellGroupData[{ -Cell[4034, 125, 194, 6, 26, "ExampleSection", - CellID->54384102], +Cell[4034, 125, 196, 6, 26, "ExampleSection", + CellID->1103044366], Cell[CellGroupData[{ -Cell[4253, 135, 99, 3, 27, "Input", +Cell[4255, 135, 99, 3, 27, "Input", CellID->1427443703], -Cell[4355, 140, 187, 6, 35, "Output", +Cell[4357, 140, 187, 6, 35, "Output", CellID->1496335197] }, Open ]], Cell[CellGroupData[{ -Cell[4579, 151, 122, 4, 27, "Input", +Cell[4581, 151, 122, 4, 27, "Input", CellID->1005269200], -Cell[4704, 157, 560, 23, 39, "Output", +Cell[4706, 157, 560, 23, 39, "Output", CellID->403293147] }, Open ]], Cell[CellGroupData[{ -Cell[5301, 185, 165, 5, 27, "Input", +Cell[5303, 185, 165, 5, 27, "Input", CellID->1218510342], -Cell[5469, 192, 173, 5, 51, "Output", +Cell[5471, 192, 173, 5, 51, "Output", CellID->1739212129] }, Open ]], -Cell[5657, 200, 87, 1, 32, "Notes", +Cell[5659, 200, 87, 1, 32, "Notes", CellID->97927264], Cell[CellGroupData[{ -Cell[5769, 205, 169, 5, 27, "Input", +Cell[5771, 205, 169, 5, 27, "Input", CellID->1140711302], -Cell[5941, 212, 349, 14, 39, "Output", +Cell[5943, 212, 349, 14, 39, "Output", CellID->1280518817] }, Open ]] }, Open ]] }, Open ]], -Cell[6329, 231, 23, 0, 41, "FooterCell"] +Cell[6331, 231, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TFIOrder.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TFIOrder.nb index 5d0e39e4d..5e43bd25d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TFIOrder.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TFIOrder.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 24027, 773] -NotebookOptionsPosition[ 21011, 681] -NotebookOutlinePosition[ 23095, 737] -CellTagsIndexPosition[ 23010, 732] +NotebookDataLength[ 23969, 772] +NotebookOptionsPosition[ 21010, 681] +NotebookOutlinePosition[ 23038, 736] +CellTagsIndexPosition[ 22953, 731] WindowTitle->TFIOrder WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$265937], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$266962], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TFIOrder", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1902021877], + CellID->523312351], Cell[CellGroupData[{ @@ -128,7 +128,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->357937628], + CellID->797953554], Cell[CellGroupData[{ @@ -682,7 +682,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{278, Automatic}, {Automatic, 28}}, WindowTitle->"TFIOrder", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -694,7 +694,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 11.322077}", + "built" -> "{2020, 6, 20, 19, 11, 45.331004}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -713,8 +713,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -724,14 +723,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3576, 105, 388, 15, 31, "PrimaryExamplesSection", + Cell[3576, 105, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1902021877]} + CellID->523312351]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 22866, 725} + {"PrimaryExamplesSection", 22810, 724} } *) (*NotebookFileOutline @@ -742,39 +741,39 @@ Cell[2856, 76, 285, 11, 45, "ObjectNameGrid"], Cell[3144, 89, 407, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3576, 105, 388, 15, 31, "PrimaryExamplesSection", +Cell[3576, 105, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1902021877], + CellID->523312351], Cell[CellGroupData[{ -Cell[3989, 124, 195, 6, 26, "ExampleSection", - CellID->357937628], +Cell[3988, 124, 195, 6, 26, "ExampleSection", + CellID->797953554], Cell[CellGroupData[{ -Cell[4209, 134, 513, 17, 27, "Input", +Cell[4208, 134, 513, 17, 27, "Input", CellID->2090101523], -Cell[4725, 153, 872, 27, 108, "Output", +Cell[4724, 153, 872, 27, 108, "Output", CellID->385222805] }, Open ]], Cell[CellGroupData[{ -Cell[5634, 185, 104, 3, 27, "Input", +Cell[5633, 185, 104, 3, 27, "Input", CellID->339387350], -Cell[5741, 190, 872, 27, 108, "Output", +Cell[5740, 190, 872, 27, 108, "Output", CellID->847054476] }, Open ]], Cell[CellGroupData[{ -Cell[6650, 222, 6469, 202, 232, "Input", +Cell[6649, 222, 6469, 202, 232, "Input", CellID->2139733482], -Cell[13122, 426, 7492, 232, 362, "Output", +Cell[13121, 426, 7492, 232, 362, "Output", CellID->1501141062] }, Open ]], Cell[CellGroupData[{ -Cell[20651, 663, 104, 3, 27, "Input", +Cell[20650, 663, 104, 3, 27, "Input", CellID->335983448], -Cell[20758, 668, 187, 6, 35, "Output", +Cell[20757, 668, 187, 6, 35, "Output", CellID->1189820737] }, Open ]] }, Open ]] }, Open ]], -Cell[20984, 679, 23, 0, 41, "FooterCell"] +Cell[20983, 679, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TGA.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TGA.nb index fab679020..cceec5cb1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TGA.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TGA.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8535, 287] +NotebookDataLength[ 8482, 286] NotebookOptionsPosition[ 5652, 200] -NotebookOutlinePosition[ 7774, 257] -CellTagsIndexPosition[ 7690, 252] +NotebookOutlinePosition[ 7721, 256] +CellTagsIndexPosition[ 7637, 251] WindowTitle->TGA WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$266819], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$267844], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TGA", ".html"]], None}]}]}, @@ -121,7 +121,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1544211338], + CellID->1895627701], Cell[CellGroupData[{ @@ -131,7 +131,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->588808452], + CellID->685723243], Cell[CellGroupData[{ @@ -201,7 +201,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TGA", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -213,7 +213,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 13.434294}", + "built" -> "{2020, 6, 20, 19, 11, 47.219868}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -233,8 +233,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -246,12 +245,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3686, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1544211338]} + CellID->1895627701]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7546, 245} + {"PrimaryExamplesSection", 7493, 244} } *) (*NotebookFileOutline @@ -264,10 +263,10 @@ Cell[3127, 89, 534, 15, 102, "Usage", Cell[CellGroupData[{ Cell[3686, 108, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1544211338], + CellID->1895627701], Cell[CellGroupData[{ Cell[4099, 127, 195, 6, 26, "ExampleSection", - CellID->588808452], + CellID->685723243], Cell[CellGroupData[{ Cell[4319, 137, 94, 3, 27, "Input", CellID->119105896], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TID.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TID.nb index bbc97a76d..188b86fd1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TID.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TID.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 66982, 2114] -NotebookOptionsPosition[ 62032, 1951] -NotebookOutlinePosition[ 64724, 2030] -CellTagsIndexPosition[ 64579, 2023] +NotebookDataLength[ 67032, 2115] +NotebookOptionsPosition[ 62075, 1952] +NotebookOutlinePosition[ 64772, 2031] +CellTagsIndexPosition[ 64627, 2024] WindowTitle->TID WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$268141], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$269166], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TID", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->957893331], + CellID->966192456], Cell["", "SectionHeaderSpacer"], @@ -199,7 +199,7 @@ Cell[BoxData[ RowBox[{"UsePaVeBasis", "\[Rule]", "False"}], ",", RowBox[{"TimeConstrained", "\[Rule]", "3"}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{471, 166}, + ImageSize->{471, 167}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"TID", @@ -225,7 +225,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1140297004], + CellID->1313542478], Cell[CellGroupData[{ @@ -235,7 +235,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->742260497], + CellID->1811038592], Cell[CellGroupData[{ @@ -343,241 +343,242 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnXlUVEfa8JPv+yczx5PJMs5wRlxABBTFAMkIOqJEjcaNiMwbNcI5OCS+ -bkRJYkyMyeho0GDQGB2jcY0f7o5hmEFF44oG1CgiCIKAoGxCy94b3be/Bo20 -fW/dvlV96y7N8zvnfY8ToJ77PFV1u7pvdf08Zr0f8d7/eeaZZz54zvr/ImI+ -DouPj/lk6gvW//HXuA/mzI57N/bNuA/fnf1ufPCs/2v9j2XW/zv47DPPtP/b -AgAAAAA2mBuyvn5v4rD+Hq/M2JTXysh9OQAAANKgK/1/O35pNFsMpd+H9p1w -up5OFLOsd1V5owMAoEwYk9bUcXNovR43LPZys2gNt5XvmjrrQoPF0nI9LjT6 -UqNoDasgOgAAKqL15lfvbi3Wi9YeU3ds6vh9lSaL/vbK4NGHqs2itaz86AAA -qAamOXfvtvN1JhGbbLk6942E23qLqWLPyOCEQvFuq2JGN1Sc3vOvWy1KeWNs -brx+eO/F2ja5rwMAugqMruzEkXM1RuvsaykrahLnFmhdc4WMSatjDMVbwgZE -ZTVJu/gSFL2tOmVh9PciLnfFQJu3fuYnpzRivg4BAMCN8f7eKB9PHz8rAwYO -/yxXK0qrpsp9Yb4jXp+5cHniuvCg8LUppVoJF1hCopvrjs0MnpfVJN1VCYN5 -eHrmkDkXG5WyHgUA1WGqz9z1UWTY6CVJK+ZN8Hvp5UGzjlQ59Y4Kq0Gm7njk -qE2lRmcCkl+AkOjWG+QI3+k/c9385C2d9fZ3coLvxBMauP0BACGM5sS4P3kt -PFVrsphr/zOp+wtD9leZLUzr3evlZMswrgbbuPcKtt9+QhbfFGcZyXsBXBkJ -it6cNc0rcEMJ5x2SoHS6ksPfbM1AvWHFKF17W/nL/P3ic0SuHgB0HRouvO0x -YNktXfu/W67N9nCfcramMmv7FK8h28qJVjLsBs9VO7lXsK3y0KyxI+wYP/9i -A+c9RtSM6s+G9XxtTwXn7Qo/UFtF8tievnOutXAHwyudoTgpwGtGlnh7jwCg -a9F8eVZfn4WPFhC6/L8P8o7NsN5TrBMr5C9kdz+uBs209goKvQDyjJouRXgG -/fMu19pP7tLpC1b495+f3UoQCQAAS2t2nLdnTMekaqvYP2P4guMd21nIpzCi -wcc/FHmvIMYFkGZkKP46yG8B1y1G9tI1ZU73Gba3Eh77AgAJultLB7j9+Z34 -Ves3JC7/dMOZB48nLfEURjVoobJXEOMCiDPSF64KHvZdGWvxJ3vp9LdXBY8i -/HQCALo8hqLV/n0iztSzPj4jXimhGqSyVxDnAsiXZOb68x9PWWO/w0fu0jFN -l5dG/ONaMzzxBQASjKUbA3uNTatjzyDCKYxqkM5eQYwLcObuZ0Vfnrp+65lq -m/WfzKXTl6dt/Ca9StSdQgDQVWB09y7s+JtHN7fwLRcq9U/POaMmOzmyj/fc -lPxG4Ys0vgYlQfSMnm7dUKcxMHQCYZfOrKupN8CqDwAAAAAAAAAAAAAAgIjR -AAAogJKSErlvBgAAAAoC7/uPAAAAAAAAAAAAAAAAYuPyGlxZEnT5qvIjV/o0 -4nbxrnRpcDS4+vL0I7lNKut/aTy/AoIyTblH0sv5D5BRZYXZyFJzSnFJuxJQ -AYI1uExz9rr4A/dV99VNap5f/KDG+wfj12Ujv/iv1gqzkaXmlOISdSWgLhwd -bWcs2xm9MkfFJ1VKcXafw6CtOSujd7JPo+pA9RVmI0vNKcXF6UqAOoy2aE/c -697du73o8Zd5uwuRkgtGV37+4MbPF312VoPSMTo+2k5XkDB5eZ7O7r9yaWQF -hKMFWiMrzdl9AoLq8pZPSiiwr2PHTwRXWFEorOaU4uJ1JUAd7a2k9zdl1hiM -mqubJrv9bvBXRQbUr5qrD4e4DVp7h/sXhBxtpy9aE/qW3ecoSI0sfzi6cGlk -pTq77ylQQetPh4dydRVWhZWFYmpOKS5uVwLUMVafOVX1uPKt2fM9e0zKaET9 -bruMxu+LfM6XKUFH25kf/Dgq4P0btu/KeDSyfOE4MNWkzl5wWSwfLUsjK9nZ -fbagg7beiAsYk1prv5jDq7DCUEbNKcXF7kpAWpqvxPQP4Tjc/NcfZ8X09YnP -0Zo0Py0ZN23Z7pPXKjDPt9PlfeIfmFBoswjh0cjihjPd/2HMRAfP5zBMsjQ1 -soy25PjqGSND3/v+h81fxAzt4TvjUEbqjsQPIgf2CPooGyFCexp94ZeBr3zO -emnAqnDn78hr7H0CZXWvUtK0A9GVgJQw9efnjvogA/ntQevKsJ9X7LkrKTt3 -p90h26/UlPl238BvbbXaaI0sdjghdz8cNS1Vjaw292Nf94n7yqyrbk162B97 -x6ZWt1kz2PVaz5HHOA5SZmMs/TaoXxTrcSROhW2Q2djb2Shdda+cTmc0iK4E -pMNcfylh0fYC9CCwzlefl3oH9A/dSv6AqjFjQu+gLWU2L49IjazgcJ3fAQ/x -ffHlwcNEc+Bia2Qxvo1uKPrKv9fE9PZFTsu1Of36dZhvrSufyX0C1ju4Uf0a -rOy7Vz2nXLJf0mFU2BaZjb1PoFlzojQdIIrTGdGVgEQw2qK9a7bf4Nseqy9Y -4dfrzR1rh/7BezGxWrXp56meQZttpbEojSxBOCFrPxw1LUWNrPHupsCeo1Me -mNvv8ot9PaMz24e+dSp5Dlp5W9jDCWPpxiCv6az7hPAK2yK3sfcJdNW9iknz -aRBdCUiC4d6/12293NCxr8TckPvjsUr28yfrEBncc9x/a+p+mu7u9uahKoyH -YKb6K4ePXm9o/wttzqKBryYV2zSP0MiShBNw98NS09LTyLbd2znEffj+9qys -031gn4iz7Yaz5qwYr/5L8gS+67OuHoP8F7M+jxdcYVtkN/Y+gaq6VzlpPg2i -KwH6mGrT5vj85tlnHvPsb/0T7beYmFuLz26L9Xi+z+yj+ZrC5LG/f84tPOnk -faFPPBoyonx8os63vxcxVSaHBi29Zfv5LlsjSxrO8d0PS01LSyNrfHD1QJz3 -8+4zDuQ/LL+47R33br1jj96pu53+9RvdXwhIuvhQWETtzQ8DRhyost8KKajC -dshu7O28VJrqXuWkaQeiKwFXQ5u7ZHhU5lOfcHBrZGmAo6ZVvEa2MSNy6BKO -quFXWG5jb+ePqdZcMWmyQHUl4Gq0/LJofGKh3fsBtkaWBhhqWuVrZA1FSRPi -f+F65IBbYaXIjinXXClpskF3JeBqaPO+jEgsYH0cYqORpQGemlb5GllD8eZp -qxEfEWJUWH5j7xNo1lxBabLh60rA1TDVnlgcf7IWPuUgx6w599mn6bWo2QoV -Vg8OuhJwOcwNV3bsylb/6XMywTTfTN59tYHv5gYVVgcCuhIAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAxMWMe8q3wtpXWlzJcNWOkzc0oCb0 -5elHcp34wpRO0Cnf5FGEtS8+XHGZptwj6eUUrZFmCSeqq3YcIjT1vrNI232A -0zDN2eviD9x35sghxvEp305FEdA+FbjjGu8fjF+XLebxdG3lu6bOutBgsbRc -jwuNvoRUjYqOq3YcMrT4fWeRsfsAZzGW7YxemSOOYQF9yrc4UYSfIi4u9nFb -c1ZG7ySXPtnD1B2bOn5fpcmiv70yePShaum/De+qHccRWuS+syih+wBCdAUJ -k5fnieEY5TvlW4woWKeIiwhXXF3e8kkJBWKZWVuuzn0j4bbeYqrYMzI4wf7E -Uuq4aschQovbdxbZuw8gRl+0JvQtET6P4T/l2/kouKeIiwUqbv3p8NCvithW -KBKsS4aQMWl1jKF4S9iAqKwmSdcOrtpxPKHF7DuLzN0HOIH5wY+jAt6/4ewb -GwenfDsdBeMUcVNN6uwFl0VypqLjtt6ICxiTWivG50emyn1hviNen7lweeK6 -8KDwtSmlvMZtiRLsQLUdxxtaxL6zyNt9gFPo8j7xD+RerJvqM3d9FBk2eknS -inkT/F56edCsI1WEEi5UFEZbcnz1jJGh733/w+YvYob28J1xKCN1R+IHkQN7 -BH2UTWZAEGL7FSE1feGXga98no98/yQ8BFN3PHLUplLBH0RJlGAHLthxFjH7 -zkKn+wBpaMp8u2/gt9x9x2hOjPuT18JTtSaLufY/k7q/MGR/VRvRHip0FG3u -x77uE/eVWd+GaNLD/tg7NrW6zTpAdr3Wc+QxDjGNAASNLq7UzBam9e71ct4X -7k6Mpd8G9YvieYgpNET77AlZfFO470GiBDtQRcdhj0mivkNEodN9gCQ0Zkzo -HbSljPOVreHC2x4Dlj1SxrZcm+3hPuVcNdn2LWQUQ9FX/r0mpmuY9ghz+vWb -c826bmAenpzcJ2B9CdZjubbKQ7PGjmgnxPfFlwcP6/jn+PkXGzhnAzu1szWV -WduneA0R6vxqK/vuVc8pl9DvYJwPYRdQ4gQ7UEHHEYxJgr4jHfmEaQKS0PTz -VM+gzXe5xmvz5Vl9fRbmdLyq6fL/Psg7NqPBTLZ9CxXFeHdTYM/RKQ/M7WuJ -xb6e0R1+WuvY8xy08jbhozMhr61cqTF4xkNj6cYgr+lZyAqIEAKBRAl2oIaO -wx+TJH1HOPLZwNpPOWhzFg18NamY4/lXa3act2dMRze3VeyfMXzBcZt9A5jb -txBR2u7tHOI+fH+VtV19wYqBfSLOthujm7NivPovIVb/CRhdiNSwbg7WxU+Q -/2Lkp/hihEAgUYIdqKPjHv9Q8Jgk6zvcKAjg7qccTJXJoUFLb7E/ANbdWjrA -7c/vxK9avyFx+acbzjzonDP427e4ohgfXD0Q5/28+4wD+Q/LL257x71b79ij -d+pup3/9RvcXApIuPiS8RTgeXajUsG4O2psfBow4UIXY3SBKCAQSJfgolio6 -zoI5Jsn6DjcKArj7KQht7pLhUZmsj0AMRav9+0ScqWd9KkG2fQsRRRaQqWHd -HBozIocuQS0fxAlBipjRVdFxuGOSrO9k3LgI0KLll0XjE+33NBhLNwb2GpvG -eniHsX1LQBRZQKWGd3MwFCVNiP8FsbVDnBCkiBtd+R2HPSaJ+o545AOKRpv3 -ZURiQef4ZnT3Luz4m0c3t/AtFyr1Yj2Sso8iC3ypGTXZyZF9vOem5Dc6flk3 -FG+etprzEy7RQhBBIbriOw4Xsr4DXBRT7YnF8SdrKX9BR5ookmDWnPvs0/Ta -LvLex4U6ztLV+g4QgLnhyo5d2U6c76egKNRhmm8m777a4CJ3AyG4SMdZumLf -AQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgC2DyBagCxmGALuoTwpLaYJ01IxPw -q0BWClmtUlHfAEOEdilbtKgIrIzx7vboFQr6IqIqhbBENlgRzMjCQAhkqchq -lY8qBxgytAvZokVGSGWMd7eFL0Af3Sg56hbC4thgxTQj84IWyIovq1U+6h5g -HKFdzhYtGg4r01a++605Crq/q1kIi2eDFc+M7AgegSy/rNZQcXrPv261KGVx -aG68fnjvxVrnjrxR8wBDhJbFFq2KseGgMqb7eyPebV/lKgT1CmFxbbBimZEd -wyuQRctq26pTFkZ/L8/yBok2b/3MT05pyHtVvQOMJ7TktmjVjA3eypgqD06N -4TiaUS5UK4TFtsGKZEYWAL9AFiWrNdcdmxk8L0sZB5XawDw8PXPInIuNhENW -tQOMN7TEtmgVjQ2+ypirj/41+pRGMTc/VxTCImywPGZkh4gpkEVcnnUSjPCd -/jPXABdR3EzSIPPw5ATfiScIB60LDjCL1LZoNY0NnsqYH6ROe+c4mU6VDqoQ -wopi8uUzIztERIEs4vKas6Z5BW7glk0S1ERXcvibrRmoN6x41l1d/jJ/v/gc -sk0Kqhhg0hiHiW3Rahob6MowtcfemZ76QEnPdFQghBXJ5MuZaee12cBxbSIK -ZBGXV382rOdreyo4hyR+Tdoqksf29O3oM2EN8qVjKE4K8JrBsUtBSPVUMMCk -MQ47YYtW09hAVobRnIz+n6PKeqCtBiGsOCZfHjOyQ8QUyKIu71KEZ9A/BYub -nVIPY6ajL1jh339+NtlHd2oYYNIYh8m7TE1jA1UZ5uHpmMhDVco6s1sdQlgx -TL5oM7JDRBXIIi7PUPx1kN8CrluM6Oph3HSaMqf7DNtbSTZw1THAHv+QsnGY -tMvUNDZQlWk4Hxuxl3v5Kh/qEMKKYfJFmpEdIq5AFiWr1ReuCh72HXunqOjq -Ydx09LdXBY8i9typY4BZJDEOE3eZisYGojKNl/53yg/36JpiCVCFEFYUky9p -piILZJGyWnP9+Y+nrLH/iejqYcx0mKbLSyP+cY38i12qGGDSGIfJl2TqGRvc -lWnKmh++XYlfcVK+EFYsky9ZpiILZHlltfry1PVbz1TbjBLR1cN46ejL0zZ+ -k17l1LBV/gCTxjjspC1aHWODuzItVxdN3ky43YIyihfCimTyJchUfIEs3+U9 -Cmmo0xgYh9GJ5L/Y6Zh1NfUGp9NW/ADDRS5btPLHBndlWq9/NOlbok/cJcCF -hLAObLByZ9pFZbVyl11cumgnCgBRmdacTyd9rYjFPzcuIoQVYIOVM9MuLKt1 -kQFm6dKd6ABUZXT5CX9NJN3EBAAAAAAAAAAAAAAAAAAAAAAAAAAAAADiIIvh -1OW1qq6XoOtlxIMrKa1V2XFkvlTsv5JFriqLVlVKZFTWUkJYRjK4lWmgJKU1 -jTbZc01Rs4/Ml0ryV7LIVaXSqsqGjMpaSgjISDK3MnWUpbSm0SZ7riln9pH5 -Up2yrMoiV6WsVZUfGZW1lEBnJJlbWTqUorSm0SZ7rilk9nH5Uhlt0Z641727 -d3vR4y/zdhdynPCPsqwyuvLzBzd+vuizsxrUt3lkkauSalW5LKgCcqQF2pAr -rKoKS8dCmhH38FOYspaNs90nPjTiCptr4kqNCeHypWpvJb2/KbPGYNRc3TTZ -7XeD2YJNHsuqufpwiNugtXe4z2SQRa5KqlVFWlD5c6QLlwVVWFUVmY6FJCOu -4adIZS0b8u4THxpxhc81MaXGhHD5Uo3VZ05VPb6q1uz5nj0mZTQ6/qtfadea -+H3BbesjPNTOOUi1qjwWVL4cqcOyoAqrqlLTseBnxDH8lKqsZUPYfeJDIy7O -XBNRakyKI01t85WY/iGsQ7F5/qo5K6avT3yO1qT5acm4act2n7xWIcrJdixE -MLryalV5LKg0csQQoRIZcpWbjgU7I/bw48mO8JIEQNigc4JjWldFu0H2XHMk -NZYAfk0tU39+7qgPMlhuP/RfWdeK/bxiz11J2bk77Q7l/T5OG115tapoCyqd -HDHMqiSGXCWkI5bzlz38+JS1vJckobu2s1FnBMeOcV5pLaBBERTGDqXG9EH6 -Ui3tNoBLCYu2F3CUDPlX1huSz0u9A/qHbiV8nCPUkGsRw+jKq1VFWlAF54iR -iwXLrIo05PIgfzpEzl9O2MOPT1nLc0mSumufgN191AaSMCgpjNGzDy9fJ0Bq -ahlt0d41229wbyZF/ZW+YIVfrzd3rB36B+/FhAJXwYhgdOXVqqIsqJRyxDGr -khhyFZCOaM5f9vDjUdbyXpKU7tonOCU4JroqWdJ8GvZccyQ1lgCEL9Vw79/r -tl5+dNCquSH3x2OVBiF/VZw0uOe4/9bU/TTd3e1Nuu5hMYyubHmoqf7K4aPX -Gx5JTTktqJRyxDKrCjbkKi2dxz901vnLHn5oZa2jS5LOXfsEpwTHhFclQ5pP -w55rDqTGUsDlSzXVps3x+c2zzzzm2d/6J9pthuD4K3Nr8dltsR7P95l9NF9T -mDz298+5hSedvE/niYdIRle2PLQhI8rHJ+p8xxKbbUGllyOWWVW4IVdp6VjE -cf5yDD+UstbhJUnmru28VKcEx4RXJX2adrDnGr/UWBrIfKlKsqySw6tVRVlQ -aYBjViU25CogHbGcvxzDz0F2crtrO3/srOCY7KqkTpMFe645mH3SQOZLVY5l -lRxereoj2BZUGmCYVZ0z5MqbjojOX87hx5OdzO5am0t0XnBMcFVSp8mGPdcE -zD4pIPOlKsKy6hQO3biPsLGg0gDPrOq8IVfGdDghzAgx/Liyk99d+wRxBMf4 -VyVxmmzYc03g7KMPmS9V5ZZV0KqqG5UPvy4Fe64pavaR+VJVbFkFrar6UfHw -61Kw5xrMPgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQCTPu -eeYAAKgDM8xnXnTY55ljA10AAFLRVr5r6qwLDRZLy/W40OhLjY7/ogvDYJ9n -LgToAgCQA6bu2NTx+ypNFv3tlcGjD1XDF6+FIPw8cwFAFwCALLRcnftGwm29 -xVSxZ2QwWmtsqDi951+3WpTyrszceP3w3ou1dM5GdwTWeeYCENgFAACIinW5 -ETImrY4xFG8JGxCV1cS57mirTlkY/b1YSx2R0Oatn/nJKZRolhq455k7RlAX -AAAgMqbKfWG+I16fuXB54rrwoPC1KaVsd7G57tjM4HlZilOYMA9Pzxwy52Kj -lOtR7PPMHSOkCwAAEICpPnPXR5Fho5ckrZg3we+llwfNOlKFfIPI1B2PHLWp -lFeyYJ2dI3yn/8x188OKJfrFt3vbJ/hOPKFx8mYhehZYbQrpAgAABMFoToz7 -k9fCU7Umi7n2P5O6vzBkf1Ub9y619pkXsvgm/wKmOWuaV+CGEs7pyRXLbGFa -714vRy1gdCWHv9magXrDinHx7W3lL/P3i89xdgGGF5S8Ta7KCOoCAAAE0XDh -bY8Byx6pXluuzfZwn3Ku2pldavVnw3q+tqeC83bFjnW2pjJr+xSvISh5VltF -8tievnOuIUxWeBdvKE4K8JqRxd530lZ5aNbYEXaMn3+xgfM2JnbFuNt0VBkA -AJyk+fKsvj4LH62HdPl/H+Qdm9FgdmaXWtOlCM+gf97lWvtxxWLItdHYF68v -WOHff352K0Ek8qDEbTpVGQAAHNGaHeftGdMxXdsq9s8YvuC4zc4Mol1qhuKv -g/wWcN1iELHI5zjuxTdlTvcZtrfSueeu4leMQmUAAHCE7tbSAW5/fid+1foN -ics/3XDmQedMI96lpi9cFTzsuzLW4g8Vi3iO4168/vaq4FHO3kxoVEz0ygAA -4AhD0Wr/PhFn6lkfbzm1S81cf/7jKWvsd3cgY5HOccyLZ5ouL434x7VmJyXT -FComemUAAHCEsXRjYK+xaXX20875XWr68tT1W89U26z/ULGI5zjexevL0zZ+ -k17l7EYRGhUTvTIAAPDC6O5d2PE3j25u4VsuVOop7JdlDHUaA+MwllGTnRzZ -x3tuSn6j8PUS9sWbdTX1BieTpFEx0SsDAAAAAAAAAAAAAAAACGA0AADKoKSk -RO77AQAAgFLA+4oiAAAAAAAAAAAAAACAqHQFo6ssOXaFwvIgV/o04nbxrnRd -cIyu+vL0I7lN6ut8Cay1woIyTblH0sv5j1hRa5HtkKXmlOKSdiWgdAQbXZnm -7HXxB+6r8chyOtZaoqDG+wfj12UjjzJQcZHtkKXmlOISdSWgIhyd/GYs2xm9 -MsfJgzdlRlRrLWnQ1pyV0TvZ52t14ApFtkOWmlOKi9OVAF0YbdGeuNe9u3d7 -0eMv83YXIs1ZjK78/MGNny/67KwGJRd0fPKbriBh8vI8nd1/5bLiCghHEbQY -V2xrrSC4gurylk9KKLAvZcdPBBdZUSis5pTi4nUlQBftraT3N2XWGIyaq5sm -u/1u8FdFBtSvmqsPh7gNWnuH+xeEnPymL1oT+pbdhyhIKy5/OOpwiXHFt9YK -ABW0/nR4KFdvYRVZWSim5pTi4nYlQBdj9ZlTVY/L3po937PHpIxG1O+2K2n8 -vsjnfI0SdPKb+cGPowLev2H7lozHissXjgNTTersBZdF1OuyxLgUrLWOQQdt -vREXMCa11n4xh1dkhaGMmlOKi92VgIQ0X4npH8JxVvuvP86K6esTn6M1aX5a -Mm7ast0nr1VgHv+my/vEPzCh0GYFwmPFxQ1nuv/DmIkOHs7JIsblbltbcnz1 -jJGh733/w+YvYob28J1xKCN1R+IHkQN7BH2UjVC7PY2+8MvAVz5nvTpgFbnz -d+R1ED+BZs3Jr4p2g4iuBCSDqT8/d9QHGcivDlpXhv28Ys9dSdm5O+0O2Wal -psy3+wZ+a6uoRltxscMJufvJI8blRpv7sa/7xH1l1oW3Jj3sj71jU6vbrEns -eq3nyGMcByCzMZZ+G9QvivU4EqfINsjsIO5slGbNidLEbxDbeozoSkAizPWX -EhZtL0CPAOtk9Xmpd0D/0K3kT6caMyb0DtpSZvPaiLTiCg7X+QXwEN8XXx48 -TExHLVKM6/hiHH4b3VD0lX+vienti5yWa3P69etw+VpXPpP7BKx3cKP6NVjZ -d696Trlkv6TDKLItMjuIn0Cz5kRpOkAU6zGiKwEpYLRFe9dsv8G3N1ZfsMKv -15s71g79g/diYlNs089TPYM22zpwUVZcgnBC1n6yiHE5Md7dFNhzdMoDc/uN -frGvZ3Rm+9C3TiXPQStvC3s4YSzdGOQ1nXWfEF5kW+R2ED+BYs0RVyVLmk+D -6EqAPoZ7/1639XJDx74Sc0Puj8cq2Q+frONjcM9x/62p+2m6u9ubh6ownoCZ -6q8cPnq9of0vtDmLBr6aVGzTPMKKSxJOwN1PFjEuJ233dg5xH76/PTHrdB/Y -J+Jsu+qsOSvGq/+SPIHv+qyrxyD/xazP4wUX2RbZHcRPoFdz9FXJkObTILoS -oIypNm2Oz2+efeYxz/7WP9F+i4m5tfjstliP5/vMPpqvKUwe+/vn3MKTTt4X -+sSjISPKxyfqfPsbEVNlcmjQ0lu2H+6yrbik4Rzf/WQR43JgfHD1QJz38+4z -DuQ/LL+47R33br1jj96pu53+9RvdXwhIuvhQWETtzQ8DRhyost8NKajIdsju -IO68VEo1570q6dO0A9GVgEuhzV0yPCrzqY83uK24NJBFjEuRxozIoUs4Codf -ZLkdxJ0/plpzxaTJAtWVgEvR8sui8YmFdm8G2FZcGsgixqWIoShpQvwvXI8c -cIsss4PY5hKp1lwpabJBdyXgUmjzvoxILGB9FmJjxaWBLGJcuhiKN09bjfiI -EKPI8juIn0Cz5gpKkw1fVwIuhan2xOL4k7XwEYdTmDXnPvs0vRY1W6HI6sFB -VwKuhbnhyo5d2eo/ek4+mOabybuvNvDd3KDI6kBAVwIAAAAAAAAAAAAAAAAA -AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHRlzLi+KjXgkkkBACAq -OmxfFQlmaW9AEiQlcUaKiq5GoGIAGwbbVyWQtvJdU2ddaLBYWq7HhUZfahSt -YQHQSUrOjOSOrkagYoBAhPuqhMHUHZs6fl+lyaK/vTJ49KFqWQ48EzUpeTNS -RD1VBVQMEASWr0oYLVfnvpFwW28xVewZGZxgL6WQArGTkjcjgdENFaf3/OtW -i1Le5pkbrx/ee7GWjtHNAVAxwDG4vipBWF9vQ8ak1TGG4i1hA6KymqR+4RU/ -KXkzEhS9rTplYfT3Ii7gxUCbt37mJ6c0kh/0DhUDHILtqxKEqXJfmO+I12cu -XJ64LjwofG1KqZbvxdVUkzp7weUmnt/Ag0JSmBmJjJDo5rpjM4PnZYlXRZFg -Hp6eOWTOxUZpV1dQsS6MqT5z10eRYaOXJK2YN8HvpZcHzTpS5dRqGqtBpu54 -5KhNpYJVho7F5RQywmoTNyPpo1un+wjf6T9zTWV5B4N1Mp+c4DvxhMbJySz6 -CHT5inVdGM2JcX/yWniq1mQx1/5nUvcXhuyvMluY1rvXy8kWLVwNtnFvq2sf -eiGLbwpfcQm5++FcgFNJcVUJOyPpozdnTfMK3FDCOd8JBoOu5PA3WzNQb7/w -+kKXv8zfLz7H2eqJPQJdv2JdloYLb3sMWHZL1/7vlmuzPdynnK2pzNo+xWsI -geOeu8Fz1U5uq2urPDRr7Ih2QnxffHnwsI5/jp9/sYFzfFG4ANGr1JmRDRgZ -ORG9/mxYz9f2VHBOPvxAbRXJY3v6zrmGMHLj9YWhOCnAa0YWe+ORs+VybgCo -sWKAEJovz+rrs/DRi4cu/++DvGMzrEOK0HGPatAs1rY6IWs/GhcgepVkjN50 -KcIz6J93uVYycg8GfcEK//7zs1sJIpEHdYzLV6yr0pod5+0Z01HQtor9M4Yv -ON6x84O8+xANPv6hs9vqBNz9aFyA6FWSM7qh+OsgvwVcE0b2wdCUOd1n2N5K -5x5iij8AXL1iXRXdraUD3P78Tvyq9RsSl3+64cyDxx1G3H2oBi3ibKtzfPej -cQGiV0ne6PrCVcHDvitjLWVkHwz626uCRzlbTxoDwLUr1lUxFK327xNxpp71 -6QnxugLVIJW9ghJdgOhVwoJCdHP9+Y+nrLHf3iP3YGCaLi+N+Me1ZueeX9IZ -ga5csa6KsXRjYK+xaXXs6hF2H6pBOnsFJboA0auEBaXo+vLU9VvPVNusZmQe -DPrytI3fpFc5u1OI3gh01Yp1SRjdvQs7/ubRzS18y4VK/dP1NmqykyP7eM9N -yW8U/hLJ16Ak0LgA0aukoOiMoU5jYOgEwu4Ls66m3uBkn1EfgS5XMQAAAAAA -AAAAAAAAXJfRAAC4BCUlJXLfTgAAAAAAAAAAAAAAAAAAALo6oNPFpUtVTK5k -acTtUh0HCEAaR7ArIaxi+vL0I7lNqp9hcg0PGnG52mSaco+klyvLFQJIBjVH -sMsioGJMc/a6+AP3XeD7n3INDxpxuds03j8Yvy4bjino0ojtCHZ90BUzlu2M -XpnjUsddyjU8aMS1b7M1Z2X0TvbZWYCSYbRFe+Je9+7e7UWPv8zbXYg0gDC6 -8vMHN36+6LOzGpTZUdipa1w2VQGNqxi0sJWvYrqChMnL83R2/1VhLlo2ZMnS -hEZcrjZ1ecsnJRTYdxigYLS3kt7flFljMGqubprs9rvBXxUZUL9qrj4c4jZo -7R3uXxB26hrSpsrfuOrhErbyV0xftCb0LbtPqhTpomWDnyw9aMRFtVl/OjyU -Z/4ASsNYfeZU1eP+as2e79ljUkYj6nfbLS1+X+RzvrgJO3WNx6bK17gMiK0b -ZgtbHVTM/ODHUQHv37B936tUFy0b3GSpQSMuus3WG3EBY1JrlbsuB9A0X4np -H8Jx6vevP86K6esTn6M1aX5aMm7ast0nr1VgHr3GY1N1vnGOcE4YWsXXDWMK -W3V5n/gHJhTaLPN4qkd4SQIgbJCynVYpadqhL/wy8JXPFfMKDgiHqT8/d9QH -GdxmQUvHyrCfV+y5Kyk7d6fdIdvlhLapitA4B04IjinohvGErU2Zb/cN/NbW -zc3nouW9JAmltJ2N0rXTyqmuRmMs/TaoXxRseFAd5vpLCYu2F6CHjjb3Y5+X -egf0D91K/lgLaVMV3DhteS5N3TCesLUxY0LvoC1lNpfJ56J1JmUxpbRPwLbT -yqhF5m6QQBzcVvbdq55TLqngowmgE0ZbtHfN9ht8m2r1BSv8er25Y+3QP3gv -JnaOomyqojTOxhlDKwXdMJ6wtennqZ5Bm21rxeOi5b0kWZzOdO20iknzaYyl -G4O8poOQXE0Y7v173dbLDR07TcwNuT8eq2Q/tbIOrME9x/23pu6n6e5ubx6q -wnh0Zqq/cvjo9YZHclROm6oTjfPhlKGVgm4YT9iqzVk08NWkYpuuQLtoHV2S -DE5nqnZa5aT5NIair4L8F0v2SAdwFlNt2hyf3zz7zGOe/a1/ov2mE3Nr8dlt -sR7P95l9NF9TmDz298+5hSedvC/0oURDRpSPT9T5jncwbJuqk43z4JyhVXzd -MKaw1VSZHBq09JbtJ+goF63DS5Le6UzVTqucNO3Q3vwwYMSBKhfcsQqIAbdN -lQa01b3Uha3a3CXDozKf+gzJQfXkltJ2/piqnVYxabJozIgcugSWfgAatk2V -BrTVvRIIW1t+WTQ+sdDuHRdP9ZTidKZsp1VKmmwMRUkT4n9BPD0CgEfY2FSp -NE9Z3SuVsFWb92VEYgHrAyeu6skvpX0CTTutgtJkYyjePG11Hqz8AEAMTLUn -FsefrIXPkVSAWXPus0/TayX/EjMAuCrmhis7dmWr/3w/V4dpvpm8+2oDvE4B -AAAAAAAAAAn/H0QOd6s= +1:eJztnXlUVEfa8JPv+yczx5N1nGHGFURAUQx0MoJG1KjRuBHRvFEjnIND4utG +lCTGxJiMjgYNBh2j45K4xc8txmMcZ1zQuKIBNYIIgiAiKJvQ0my90X37a9Bg +p++t27fq3rpL8/zOed/jBKinnqfq3q7uW10/3+nvRb/7f5544on3n3L+v+i4 +j4YmJsZ9PPFZ5/94M+H9mTMS3ol/PeGDd2a8kxg+/f86/2OJ8/++f/KJJ1r+ +7QAAAAAAF+yGjK/eHTuwl++LU9fnNjFKdwcAAEAeTMX/b+svdXaHpfibyB5j +TtXSiWJX9K6qbHQAANQJYzPaWm8OTZkJA+MvNUjWcHPp9onTzxscjsbMhMjY +i3WSNayB6AAAaIim61++s7nILFl7TM3RiaP3lNsc5pvLwofvr7RL1rL6owMA +oBmYhpzd356rsUnYZOOVWa8l3TQ7bGU7h4QnFUh3W5UyuqXs1M6DeY1qeWNs +r8s8sPtCdbPS/QCA9gJjKjl+4GyV1Xn1NZYU1ktzC3SuuSJGHKlhLEWbhvaO +yaiXd/ElKHpz5aF5sd9IuNyVAmPummkfn9RL+ToEAAA31nu7YwL9AoOd9O4z +6NMcoySt2sr3DA0a/Oq0eUuSV0fpolYdKjbKuMASEt1ec3Ra+OyMevl6JQzm +walp/WdeqFPLehQANIetNn37h5OGDl+YsnT2mODnX+g7/UCFqHdUWA0yNccm +DVtfbBUTkLwDQqI7b5CDg6b8zHXzU7Z0ztvfiTFBY4/r4fYHAIQw+uOj/uI/ +72S1zWGv/s+4js/231thdzBNdzJLyZZhXA02c+8VbLn9RCy4Ls0ykrcDXBkJ +it6QMdk/bO1tzjskSema68rum1E/xCidE1Pe4pDgxGyJqwcA7QfD+bd8ey++ +YWr5d+PVGb6dJ5ypKs/YMsG//7elRCsZdoNnK0XuFWwu3z995GA3Rs+5YOC8 +jUiaUe2ZoV1e3lnG+fkafiBryUbdM39+k3MpydkgX+ksRSmh/lMzpNt7BADt +i4ZL03sEznu4gDDl/b1vQHya857ivLAiXiG7+3E1aKe1V1BoB8gzqr8Y7af7 +1x2utR9JIFttZurZO4iVIWbpzPlLQ3rNyWrCTQkAgBaashIC/OJaL6rmsr1T +B8091rqdhfzuh2jw0Q8l3iuI0QHSjCxFX+mC53LdYhQvXX36lMCBu8vhsS8A +kGC6sai3z1/fTly+Zm3ykk/Wnr7/6KIlvoRRDTqo7BXE6ABxRuaC5eEDN5aw +Fn+Kl858c3n4MMJPJwCg3WMpXBHSPfp0LeuNGPFKCdUglb2COB0gX5LZa899 +NGGl+w4fpUvH1F9aFP2Pqw3wxBcASLAWrwvrOvJIDfsKIryEUQ3S2SuI0QEx +dz8n5tLDazafrnRZ/ylcOnPpkXX/TK2QdKcQALQXGNPd81v/5tvBJ2rT+XK3 +LRhWfdauSd0DZh3KqxO+SONrUBYkz+i3rVtq9BaGTiDs0tlNVbUWWPUBAAAA +AAAAAAAAAAAQMRwAABVw+/ZtpW8GAAAAKgLv+48AAAAAAAAAAAAAAABS4/Ua +XEUS9Pqq8qNU+jTitvOh9GpwNLjm0tQDOfUaG395PL8CgjL1OQdSS/kPkNFk +hdkoUnNKcUmHEtAAgjW4TEPW6sR99zT31U1qnl/8oNZ73yeuzkJ+8V+rFWaj +SM0pxSUaSkBbeDrazlqyLXZZtoZPqpTj7D6PQZuyl8VuY59G1YrmK8xGkZpT +ioszlAB1GGPhzoRXAzp2eM73ldk7CpCmBsZUeu77dZ/N//SMHqVj9Hy0nSk/ +afySXJPbf+XSyAoIRwu0Rlaes/sEBDXlLhmXlO9ex9afCK6wqlBZzSnFxRtK +gDrGGynvrU+vslj1V9aP93mm35eFFtSv2it/iPDpu+oW9y8IOdrOXLgy8g23 +z1GQGln+cHTh0sjKdXbfb0AFrT0VFck1VFgVVheqqTmluLhDCVDHWnn6ZMWj +yjdlzfHrNC6tDvW7LTKa4M/zOF+mBB1tZ7//47DQ9665vivj0cjyhePAVnV4 +xtxLUvloWRpZ2c7ucwUdtOlaQuiIw9Xuizm8CqsMddScUlzsoQTkpeFyXK8I +jsPNf/1xRlyPwMRso03/08JRkxfvOHG1DPN8O1PuxyFhSQUuixAejSxuONu9 +70aM9fB8DsMkS1MjyxhvH1sxdUjku998t+HzuAGdgqbuTzu8Nfn9SX066T7M +ahTShLngi7AXP2O9NGBV+PHvKGvsbYOyulctabqBGEpATpjac7OGvZ+G/Pag +c2XY0z/+7OVD23YcuUW2X6k+/a0eYV+7arXRGlnscELufjhqWqoaWWPOR0Gd +x+4pca669alD/9Qt/nBlszOD7S93GXKU4yBlNtbir3U9Y1iPI3Eq7ILCxt42 +KKt7lXQ6o0EMJSAfdsPFpPlb8tGTwHm9Bj7fLbRX5GbyB1R1aWO66TaVuLw8 +IjWygsM9/g54RNBzL/QbKJkDF1sji/FtdEvhlyFdx6a2LHIar87s2XPm1cbW +lc/47qFrPNyofg1WsvElvwkX3Zd0GBV2RWFjbxs0a06UpgckcTojhhKQCcZY +uHvllmt822PN+UuDu76+ddWAPwYsIFar1v880U+3wVUai9LIEoQTsvbDUdNS +1Mha76wP6zL80H17y11+QZBfbHrL1HdeSn59l90U9nDCWrxO5z+FdZ8QXmFX +lDb2tkFX3atSpzNiKAFZsNz99+rNlwyt+0rshpwfj5aznz85p0i/LqP+W1Xz +05TOPq/vr8B4CGarvfzDwUxDy18Ys+f3eSmlyKV5hEaWJJyAux+WmpaeRrb5 +7rb+nQftbcnKebn36R59psVw1pAR599rYa7Ad33O1aMuZAHr83jBFXZFcWNv +G1TVvepJ87cghhKgj636yMzA3z35xCOe/H1IsvsWE3tT0Zlv432f7j7jYJ6+ +YNfIPzzlE5Vy4p7QJx6GtJjAwJhzLe9FbOW7InWLbrh+vsvWyJKG83z3w1LT +0tLIWu9f2ZcQ8HTnqfvyHpRe+Pbtzh26xR+8VXMz9avXOj4bmnLhgbCIxusf +hA7eV+G+FVJQhd1Q3Nj7uKs01b3qSdMNxFAC3oYxZ+GgmPTffMLBrZGlAY6a +VvUa2bq0SQMWclQNv8JKG3sf/5hqzVWTJgvUUALeRuMv80cnF7i9H2BrZGmA +oaZVv0bWUpgyJvEXrr0xuBVWi+yYcs3VkiYb9FAC3oYx94vo5HzWxyEuGlka +4Klp1a+RtRRtmLwC8REhRoWVN/a2QbPmKkqTDd9QAt6Grfr4gsQT1fApBzl2 +/dlPP0mtRl2tUGHt4GEoAa/Dbri8dXuW9k+fUwim4fquHVcMfDc3qLA2EDCU +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAtdtxTvlXWvtri +yoa3DpyyoQEtYS5NPZAj4gtTJkGnfJNHEda+9HDFZepzDqSWUrRG2mW8UL11 +4BChqY+dQ97hA0TDNGStTtx3T8yRQ4znU75FRRHQPhW441rvfZ+4OkvK4+ma +S7dPnH7e4HA0ZiZExl5EqkYlx1sHDhla+rFzKDh8gFisJdtil2VLY1hAn/It +TRThp4hLi3vcpuxlsdvIpU/uMDVHJ47eU25zmG8uCx++v1L+b8N768BxhJZ4 +7BxqGD6AEFN+0vgluVI4RvlO+ZYiCtYp4hLCFdeUu2RcUr5UZtbGK7NeS7pp +dtjKdg4JT3I/sZQ63jpwiNDSjp1D8eEDiDEXrox8Q4LPY/hP+RYfBfcUcalA +xa09FRX5ZSHbCkWCc8kQMeJIDWMp2jS0d0xGvaxrB28dOJ7QUo6dQ+HhA0Rg +v//jsND3rol9Y+PhlG/RUTBOEbdVHZ4x95JEzlR03KZrCaEjDldL8fmRrXzP +0KDBr06btyR5dZQuatWhYl7jtkwJtqLZgeMNLeHYOZQdPkAUptyPQ8K4F+u2 +2vTtH04aOnxhytLZY4Kff6Hv9AMVhBIuVBTGePvYiqlDIt/95rsNn8cN6BQ0 +dX/a4a3J70/q00n3YRaZAUGI7VeC1MwFX4S9+Fke8v2T8BBMzbFJw9YXC/4g +SqYEW/HCgXNIOXYOOsMHyEN9+ls9wr7mHjtGf3zUX/znnay2OezV/xnX8dn+ +eyuaifZQoaMYcz4K6jx2T4nzbYg+deifusUfrmx2TpDtL3cZcpRDTCMAQbOL +KzW7g2m6k1nK+8L9GGvx17qeMTwPMYWGaLl6IhZcF+57kCnBVjQxcNhzkmjs +EFHoDB8gC3VpY7rpNpVwvrIZzr/l23vxQ2Vs49UZvp0nnK0k276FjGIp/DKk +69hUPdMSYWbPnjOvOtcNzIMT47uHrrmN9ViuuXz/9JGDW4gIeu6FfgNb/zl6 +zgUD59XATu1MVXnGlgn+/YU6v5pLNr7kN+Ei+h2M+BBuAWVOsBUNDBzBnCQY +O9KZT5gmIAv1P0/00224wzVfGy5N7xE4L7v1Vc2U9/e+AfFpBjvZ9i1UFOud +9WFdhh+6b29ZSywI8ott9dM6555f32U3CR+dCXlt5UqNwTMeWovX6fynZCAr +IEEIBDIl2IoWBg5/TpKMHeHMZwNrP/VgzJ7f56WUIo7nX01ZCQF+ca3D3Fy2 +d+qgucdc9g1gbt9CRGm+u61/50F7K5ztmvOX9ukefabFGN2QEeffayGx+k/A +7EKkhnVzcC5+dCELkJ/iSxECgUwJtqKNgXv0Q8FzkmzscKMggLuferCV74rU +LbrB/gDYdGNRb5+/vp24fM3a5CWfrD19//E1g799iyuK9f6VfQkBT3eeui/v +QemFb9/u3KFb/MFbNTdTv3qt47OhKRceEN4iPM8uVGpYNwfj9Q9CB++rQOxu +kCQEApkSfBhLEwPnwJyTZGOHGwUB3P1UhDFn4aCYdNZHIJbCFSHdo0/Xsj6V +INu+hYiiCMjUsG4OdWmTBixELR+kCUGKlNE1MXC4c5Js7BTcuAjQovGX+aOT +3fc0WIvXhXUdeYT18A5j+5aAKIqASg3v5mApTBmT+Atia4c0IUiRNrr6Bw57 +ThKNHfHMB1SNMfeL6OT8x/ObMd09v/Vvvh18ojadLzdL9UjKPYoi8KVm1Wft +mtQ9YNahvDrPL+uWog2TV3B+wiVZCCIoRFf9wOFCNnaAl2KrPr4g8UQ15S/o +yBNFFuz6s59+klrdTt77eNHAOdrb2AECsBsub92eJeJ8PxVFoQ7TcH3XjisG +L7kbCMFLBs7RHscOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABFAJMvQBUwDgN0 +0Z4QltQGK9aMTMCvAlk5ZLVqRXsTDBHaq2zRkiKwMtY7W2KXquiLiJoUwhLZ +YCUwIwsDIZClIqtVP5qcYMjQXmSLlhghlbHe+TZqLvroRtnRthAWxwYrpRmZ +F7RAVnpZrfrR9gTjCO11tmjJ8FiZ5tIdb8xU0f1dy0JYPBusdGZkT/AIZPll +tZayUzsP5jWqZXFor8s8sPtCtbgjb7Q8wRChFbFFa2JueKiM7d7u6HdaVrkq +QbtCWFwbrFRmZM/wCmTRstrmykPzYr9RZnmDxJi7ZtrHJ/Xko6rdCcYTWnZb +tGbmBm9lbOXfT4zjOJpRKTQrhMW2wUpkRhYAv0AWJau11xydFj47Qx0HlbrA +PDg1rf/MC3WEU1azE4w3tMy2aA3NDb7K2CsPvhl7Uq+am583CmERNlgeM7JH +pBTIIrrnvAgGB035mWuCSyhuJmmQeXBiTNDY44ST1gsnmENuW7SW5gZPZez3 +D09++xiZTpUOmhDCSmLy5TMje0RCgSyiew0Zk/3D1nLLJklq0lxXdh95ACie +ddeUtzgkODGbbJOCJiaYPMZhYlu0luYGujJM9dG3pxy+r6ZnOhoQwkpk8uXM +9HHfXODom4QCWUT3as8M7fLyzjLOD7Xwa2It2ah75s9vci4XsNOxFKWE+k/l +2KUgpHoamGDyGIdF2KK1NDeQlWH0J2L/56C6HmhrQQgrjcmXx4zsESkFsqju +XYz20/1LsLjZU01stZmpZ+8gXv0x0zHnLw3pNSeL7KM7LUwweYzD5LZoLc0N +VGWYB6fiJu2vUNeZ3doQwkph8kWbkT0iqUAW0T1L0Ve64LlctxjJ1cO46dSn +TwkcuLucbOJqY4I9+iFl4zDpkGlpbqAqYzgXH72be/mqHNoQwkph8kWakT0i +rUAWJas1FywPH7iRvVNUcvUwbjrmm8vDhxF77rQxwRyyGIeJh0xDcwNRmbqL +/zvhu7t0TbEEaEIIK4nJlzRTiQWySFmtvfbcRxNWuv9EcvUwZjpM/aVF0f+4 +Sv7FLk1MMHmMw+RLMu3MDe7K1GfMidqixq84qV8IK5XJlyxTiQWyvLJac+nh +NZtPV7rMEsnVw3jpmEuPrPtnaoWoaav+CSaPcVikLVobc4O7Mo1X5o/fQLjd +gjKqF8JKZPIlyFR6gSxf9x6GtNToLYzH6ETyX+x07KaqWovotFU/wXBRyhat +/rnBXZmmzA/HfU30ibsMeJEQ1oMNVulM26msVumyS0s7HUQBICrTlP3JuK9U +sfjnxkuEsAJssEpm2o5ltV4ywRztehA9gKqMKS/pzWTSTUwAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAIA2KGE69XqvqfQl6X0Y8eJPSWpMDR+ZLxf4rReSqimhV +5URBZS0lhGWkgFuZBmpSWtNok32tqerqI/OlkvyVInJVubSqiqGgspYSAjKS +za1MHXUprWm0yb7W1HP1kflSRVlWFZGrUtaqKo+CylpKoDOSza0sH2pRWtNo +k32tqeTq4/KlMsbCnQmvBnTs8JzvK7N3FHCc44qyrDKm0nPfr/ts/qdn9Khv +8ygiVyXVqnJZUAXkSAu0IVdYVVWWjoM0I+7ppzJlLRuxwyc9NOIKu9aklRoT +wuVLNd5IeW99epXFqr+yfrzPM/3Ygk0ey6q98ocIn76rbnGfyaCIXJVUq4q0 +oPLnSBcuC6qwqqoyHQdJRlzTT5XKWjbkwyc9NOIKv9aklBoTwuVLtVaePlnx +qFdNWXP8Oo1Lq/P8V7/SojUJ/pzb1kd4qJ04SLWqPBZUvhypw7KgCquqWtNx +4GfEMf3UqqxlQzh80kMjLs61JqHUmBRPmtqGy3G9IliHYvP8VUNGXI/AxGyj +Tf/TwlGTF+84cbVMkpPtWEhgdOXVqvJYUGnkiCFCJTLkqjcdB3ZG7OnHkx1h +lwRA2KA4wTGtXtFukH2teZIaywC/ppapPTdr2PtpLLcf+q+ca8We/vFnLx/a +tuPILcr7fUQbXXm1qmgLKp0cMcyqJIZcNaQjlfOXPf34lLW8XZLRXduGKMGx +Z8QrrQU0KIHC2KPUmD5IX6qjZefixaT5W/I5Sob8K+cNKfD5bqG9IjcTPs4R +ash1SGF05dWqIi2ognPEyMWBZVZFGnJ5UD4dIucvJ+zpx6es5emSrO7aNrCH +j9pEEgYlhTH66sPLVwRITS1jLNy9css17s2kqL8y5y8N7vr61lUD/hiwgFDg +KhgJjK68WlWUBZVSjjhmVRJDrgrSkcz5y55+PMpa3i7J6a5tQ5Tg2CPSuoAR +DUqhMPYkNZYBhC/VcvffqzdfenjQqt2Q8+PRcouQvypK6ddl1H+ran6a0tnn +dbruYSmMrmx5qK328g8HMw0PpaacFlRKOWKZVQUbctWWzqMfinX+sqcfWlnr +qUvyuWvbECU4JuyVAmn+Fva15kFqLAdcvlRb9ZGZgb978olHPPn7kGS3zRAc +f2VvKjrzbbzv091nHMzTF+wa+YenfKJSTtyj88RDIqMrWx5qSIsJDIw517rE +ZltQ6eWIZVYVbshVWzoOaZy/HNMPpaz12CXZ3LWPuypKcEzYK/nTdIN9rfFL +jeWBzJeqJssqObxaVZQFlQY4ZlViQ64K0pHK+csx/Txkp7S79vGPxQqOyXol +d5os2Neah6tPHsh8qeqxrJLDq1V9CNuCSgMMs6o4Q66y6Ujo/OWcfjzZKeyu +demieMExQa/kTpMN+1oTcPXJAZkvVRWWVVF4dOM+xMWCSgM8s6p4Q66C6XBC +mBFi+nFlp7y7tg1pBMf4vZI5TTbsa03g1UcfMl+qxi2roFXVNhqffu0K9rWm +qquPzJeqYcsqaFW1j4anX7uCfa3B1QcAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAEmHHPc8cAABtYIfrmRcT9nnm2MAQAIBcNJdunzj9vMHh +aMxMiIy9WOf5L9oxDPZ55kKAIQAAJWBqjk4cvafc5jDfXBY+fH8lfPFaCMLP +MxcADAEAKELjlVmvJd00O2xlO4eEo7XGlrJTOw/mNarlXZm9LvPA7gvVdM5G +9wTWeeYCEDgEAABIinO5ETHiSA1jKdo0tHdMRj3nuqO58tC82G+kWupIhDF3 +zbSPT+rlPiAN9zxzzwgaAgAAJMZWvmdo0OBXp81bkrw6She16lAx211orzk6 +LXx2huoUJsyDU9P6z7xQJ+d6FPs8c88IGQIAAARgq03f/uGkocMXpiydPSb4 ++Rf6Tj9QgXyDyNQcmzRsfTGvZMF5dQ4OmsKps8aKJXnnW7ztY4LGHteLvFlI +ngVWm0KGAAAAQTD646P+4j/vZLXNYa/+z7iOz/bfW9HMvUut5cqLWHCdfwHT +kDHZP2ztbc7LkyuW3cE03cksRS5gmuvK7iMdCRidd7SYpReHBCdmi12A4QUl +b5OrMoKGAAAAQRjOv+Xbe/FD1Wvj1Rm+nSecrRSzS632zNAuL+8s4/yAix3r +TFV5xpYJ/v1R8ixryUbdM39+k3Mpid15S1FKqP/UDPa+k+by/dNHDnZj9JwL +Bs7bmNQV427TU2UAABBJw6XpPQLnPVwPmfL+3jcgPs1gF7NLrf5itJ/uX3e4 +1n5csRgP6kBbbWbq2TuIlSFm5835S0N6zclqwspHbFDiNj1VBgAAUTRlJQT4 +xbVers1le6cOmnvMZWcG0S41S9FXuuC5XLcYRCzyaxy38/XpUwIH7i4X99xV ++opRqAwAAJ4w3VjU2+evbycuX7M2eckna0/ff3ylEe9SMxcsDx+4sYS1+EPF +Ir7GcTtvvrk8fJjYmwmNikleGQAAPGEpXBHSPfp0Let9pahdavbacx9NWOm+ +uwMZi/Qax+w8U39pUfQ/rjaIlExTqJjklQEAwBPW4nVhXUceqXG/7MTvUjOX +Hl6z+XSly/oPFYv4GsfrvLn0yLp/plaI3ShCo2KSVwYAAF4Y093zW//m28En +atP5cuSOEjEBLDV6C+MxllWftWtS94BZh/LqhK+XsDtvN1XVWkQmSaNiklcG +AAAAAAAAAAAAAAAAEMBwAADUwe3bt5W+HwAAAKgFvK8oAgAAAAAAAAAAAAAA +SEp7MLoqkmN7KCwPSqVPI247H0rvBcfoai5NPZBTr73Bl8FaKywoU59zILWU +/4gVrRbZDUVqTiku6VACakew0ZVpyFqduO+eFo8sp2OtJQpqvfd94uos5FEG +Gi6yG4rUnFJcoqEENISnk9+sJdtil2WLPHhTYSS11pIGbcpeFruNfb5WK95Q +ZDcUqTmluDhDCdCFMRbuTHg1oGOH53xfmb2jACmeYEyl575f99n8T8/oUXJB +zye/mfKTxi/JNbn9Vy4rroBwFEGLcaW21gqCK6gpd8m4pHz3Urb+RHCRVYXK +ak4pLt5QAnQx3kh5b316lcWqv7J+vM8z/b4stKB+1V75Q4RP31W3uH9ByMlv +5sKVkW+4fYiCtOLyh6MOlxhXemutAFBBa09FRXKNFlaR1YVqak4pLu5QAnSx +Vp4+WfGo7E1Zc/w6jUurQ/1ui5Im+PM8ztcoQSe/2e//OCz0vWuub8l4rLh8 +4TiwVR2eMfeShHpdlhiXgrXWM+igTdcSQkccrnZfzOEVWWWoo+aU4mIPJSAj +DZfjekVwnNX+648z4noEJmYbbfqfFo6avHjHiatlmMe/mXI/DglLKnBZgfBY +cXHD2e59N2Ksh4dziohxuds23j62YuqQyHe/+W7D53EDOgVN3Z92eGvy+5P6 +dNJ9mNUopAlzwRdhL37GenXAKvLj31HWQdwGzZqT94p2g4ihBGSDqT03a9j7 +acivDjpXhj39489ePrRtx5FbZJuV6tPf6hH2tauiGm3FxQ4n5O6njBiXG2PO +R0Gdx+4pcS689alD/9Qt/nBlszOJ7S93GXKU4wBkNtbir3U9Y1iPI3GK7ILC +DuI2qNacLE3sBrGtx4ihBGTCbriYNH9LPnoGOC/WwOe7hfaK3Ez+dKoubUw3 +3aYSl9dGpBVXcLjHXwCPCHruhX4DpXTUIsW4njvj8dvolsIvQ7qOTW1Z5DRe +ndmz58yrja0rn/HdQ9d4uFH9Gqxk40t+Ey66L+kwiuyKwg7iNmjWnChND0hi +PUYMJSAHjLFw98ot1/j2xprzlwZ3fX3rqgF/DFhAbIqt/3min26DqwMXZcUl +CCdk7aeIGJcT6531YV2GH7pvb7nRLwjyi01vmfrOS8mv77Kbwh5OWIvX6fyn +sO4TwovsitIO4jYo1hzRK1FCYWmsx4ihBOhjufvv1ZsvGVr3ldgNOT8eLWc/ +fHLOj35dRv23quanKZ19Xt9fgfEEzFZ7+YeDmYaWvzBmz+/zUkqRS/MIKy5J +OAF3P0XEuJw0393Wv/OgvS2JOS/3Pt2jz7Sozhoy4vx7LcwV+K7PuXrUhSxg +fR4vuMiuKO4gboNezdG9UiDN34IYSoAytuojMwN/9+QTj3jy9yHJ7ltM7E1F +Z76N9326+4yDefqCXSP/8JRPVMqJe0KfeBjSYgIDY861vBGxle+K1C264frh +LtuKSxrO891PETEuB9b7V/YlBDzdeeq+vAelF759u3OHbvEHb9XcTP3qtY7P +hqZceCAsovH6B6GD91W474YUVGQ3FHcQP+4qpZrz9kr+NN1ADCXgVRhzFg6K +Sf/NxxvcVlwaKCLGpUhd2qQBCzkKh19kpR3Ej39MteaqSZMFaigBr6Lxl/mj +kwvc3gywrbg0UESMSxFLYcqYxF+49sbgFllhB7FLF6nWXC1pskEPJeBVGHO/ +iE7OZ30W4mLFpYEiYly6WIo2TF6B+IgQo8jKO4jboFlzFaXJhm8oAa/CVn18 +QeKJaviIQxR2/dlPP0mtRl2tUGTt4GEoAe/Cbri8dXuW9o+eUw6m4fquHVcM +fDc3KLI2EDCUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAA7Rk7rq9KC3hlUgAASIoJ21dFgl3eG5AMScmckaqiaxGoGMCG +wfZVCaS5dPvE6ecNDkdjZkJk7MU6yRoWAJ2klMxI6ehaBCoGCES4r0oYTM3R +iaP3lNsc5pvLwofvr1TkwDNJk1I2I1XUU1NAxQBBYPmqhNF4ZdZrSTfNDlvZ +ziHhSe5SCjmQOillMxIY3VJ2aufBvEa1vM2z12Ue2H2hmo7RzQNQMcAzuL4q +QThfbyNGHKlhLEWbhvaOyaiX+4VX+qSUzUhQ9ObKQ/Niv5FwAS8Fxtw10z4+ +qZf9oHeoGOARbF+VIGzle4YGDX512rwlyaujdFGrDhUb+V5cbVWHZ8y9VM/z +G3hQSAozI4kREt1ec3Ra+OwM6aooEcyDU9P6z7xQJ+/qCirWjrHVpm//cNLQ +4QtTls4eE/z8C32nH6gQtZrGapCpOTZp2PpiwSpDz+JyChlhtYmbkfzRnZf7 +4KApP3NdyspOBufFfGJM0NjjepEXs+Qz0Osr1n5h9MdH/cV/3slqm8Ne/Z9x +HZ/tv7fC7mCa7mSWki1auBps5t5W1zL1IhZcF77iEnL3w+mAqKS4qoSdkfzR +GzIm+4etvc15vZNMhua6svtIsyPeWJjyFocEJ2aLrZ7UM9D7K9ZuMZx/y7f3 +4humln83Xp3h23nCmaryjC0T/PsTOO65GzxbKXJbXXP5/ukjB7cQEfTcC/0G +tv5z9JwLBs4pRKEDklfpcUYuYGQkInrtmaFdXt5ZxvlpEX4ga8lG3TN/fpNz +YcTZIN9YWIpSQv2nZrA3Hoktl7gJoMWKAUJouDS9R+C8hy8epry/9w2IT3NO +KULHPapBu1Tb6oSs/Wh0QPIqKRi9/mK0n+5fd7hWMiSBbLWZqWfvINY5mGNh +zl8a0mtOVhNuSqKCesbrK9ZeacpKCPCLay1oc9neqYPmHmvd+UF+XSMafPRD +sdvqBNz9aHRA8iopGd1S9JUueC7XBaP4ZKhPnxI4cHe5uIeY0k8Ab69Ye8V0 +Y1Fvn7++nbh8zdrkJZ+sPX3/0YARDx+qQYc02+o83/1odEDyKikb3VywPHzg +xhLWUkbxyWC+uTx8mNh60pgA3l2x9oqlcEVI9+jTtaxFOPG6AtUglb2CMnVA +8iphQSG6vfbcRxNWum/vUXoyMPWXFkX/42qDuOeXdGagN1esvWItXhfWdeSR +Gnb1CIcP1SCdvYIydUDyKmFBKbq59PCazacrXVYzCk8Gc+mRdf9MrRC7U4je +DPTWirVLGNPd81v/5tvBJ2rT+XK3x+9WfdauSd0DZh3KqxP+EsnXoCzQ6IDk +VVJRdMZSo7cwdAJhj4XdVFVrETlm1Geg11UMAAAAAAAAAAAAAADvZTgAAF7B +7du3lb6dAAAAAAAAAAAAAAAAAAAAtHdAp4tLu6qYUsnSiNuuBg4QgDyOYG9C +WMXMpakHcuo1f4UpNT1oxOVqk6nPOZBaqi5XCCAb1BzBXouAijENWasT993z +gu9/KjU9aMTlbtN67/vE1VlwTEG7RmpHsPeDrpi1ZFvssmyvOu5SqelBI657 +m03Zy2K3sc/OAtQMYyzcmfBqQMcOz/m+MntHAVJhwJhKz32/7rP5n57Ro8yO +wk5d47KpCmhcw6CFrXwVM+UnjV+Sa3L7rypz0bIhS5YmNOJytWnKXTIuKd99 +wAAVY7yR8t769CqLVX9l/XifZ/p9WWhB/aq98ocIn76rbnH/grBT15A2Vf7G +NQ+XsJW/YubClZFvuH1SpUoXLRv8ZOlBIy6qzdpTUZE81w+gNqyVp09WPBqv +pqw5fp3GpdWhfrfF0hL8eR7ni5uwU9d4bKp8jSuA1LphtrDVQ8Xs938cFvre +Ndf3vWp10bLBTZYaNOKi22y6lhA64nC1etflAJqGy3G9IjhO/f71xxlxPQIT +s402/U8LR01evOPE1TLMo9d4bKriG+cIJ8LQKr1uGFPYasr9OCQsqcBlmcdT +PcIuCYCwQcp2WrWk6Ya54IuwFz9TzSs4IBym9tysYe+ncZsFHa0rw57+8Wcv +H9q248gtsl1OaJuqBI1zIEJwTEE3jCdsrU9/q0fY165ubj4XLW+XZJTStkHZ +TqukuhqNtfhrXc8Y2PCgOeyGi0nzt+Sjp44x56PA57uF9orcTP5YC2lTFdw4 +bXkuTd0wnrC1Lm1MN92mEpdu8rloRaQsqZS2DWw7rYJaZO4GCcTBzSUbX/Kb +cFEDH00Aj2GMhbtXbrnGt6nWnL80uOvrW1cN+GPAAmLnKMqmKknjbMTIcyno +hvGErfU/T/TTbXCtFY+LlrdLckpp26Brp1WputpavE7nPwWE5FrCcvffqzdf +MrTuNLEbcn48Ws5+auWcWP26jPpvVc1PUzr7vL6/AuPRma328g8HMw0P5aic +NlURjfMhytBKQTeMJ2w1Zs/v81JKkctQoF20nrqkgNOZqp1WPWn+Fkvhl7qQ +BbI90gHEYqs+MjPwd08+8Ygnfx+S7L7pxN5UdObbeN+nu884mKcv2DXyD0/5 +RKWcuCf0oYQhLSYwMOZc6zsYtk1VZOM8iDO0Sq8bxhS22sp3ReoW3XD9BB3l +ovXYJfmdzlTttOpJ0w3j9Q9CB++r8MIdq4AUcNtUaUBb3Utd2GrMWTgoJv03 +nyF5qJ7SUtrHP6Zqp1VNmizq0iYNWAhLPwAN26ZKA9rqXhmErY2/zB+dXOD2 +jounempxOlO206olTTaWwpQxib80YoYH2hkuNlUqzVNW98olbDXmfhGdnM/6 +wImrespLadugaadVUZpsLEUbJq/IhZUfAEiBrfr4gsQT1fA5kgaw689++klq +texfYgYAb8VuuLx1e5b2z/fzdpiG67t2XDHA6xQAAAAAAAAAkPD/AcZkeCI= + "], {{0, 225}, {426, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -591,7 +592,7 @@ AAAAAAAAAAn/H0QOd6s= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[2]=", - CellID->947775240] + CellID->1847354466] }, Open ]], Cell[TextData[{ @@ -1952,7 +1953,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TID", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1964,7 +1965,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 16.637628}", + "built" -> "{2020, 6, 20, 19, 11, 50.292695}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1993,38 +1994,38 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "TID"->{ - Cell[5236, 162, 125, 4, 70, "Input", + Cell[5236, 162, 125, 4, 27, "Input", CellTags->"TID", CellID->1576573941], - Cell[5364, 168, 1703, 37, 187, "Output", + Cell[5364, 168, 1703, 37, 188, "Output", CellTags->"TID"], - Cell[7761, 241, 571, 18, 45, "Input", + Cell[7762, 241, 571, 18, 45, "Input", CellTags->"TID", CellID->1762979144], - Cell[8335, 261, 1235, 52, 66, "Output", + Cell[8336, 261, 1235, 52, 66, "Output", CellTags->"TID", CellID->618277373], - Cell[50431, 1509, 197, 6, 70, "Input", + Cell[50474, 1510, 197, 6, 27, "Input", CellTags->"TID", CellID->1686437767], - Cell[50631, 1517, 5110, 189, 66, "Output", + Cell[50674, 1518, 5110, 189, 66, "Output", CellTags->"TID", CellID->2009295439]}, "PrimaryExamplesSection"->{ Cell[7128, 212, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1140297004]}, + CellID->1313542478]}, "RasterizedOutput"->{ - Cell[10154, 342, 14824, 251, 246, "Output", + Cell[10155, 342, 14866, 252, 246, "Output", CellTags->"RasterizedOutput", - CellID->947775240]} + CellID->1847354466]} } *) (*CellTagsIndex CellTagsIndex->{ - {"TID", 63789, 1994}, - {"PrimaryExamplesSection", 64309, 2012}, - {"RasterizedOutput", 64453, 2016} + {"TID", 63836, 1995}, + {"PrimaryExamplesSection", 64356, 2013}, + {"RasterizedOutput", 64500, 2017} } *) (*NotebookFileOutline @@ -2038,13 +2039,13 @@ Cell[3982, 115, 432, 13, 85, "Usage", Cell[CellGroupData[{ Cell[4439, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->957893331], -Cell[5180, 158, 31, 0, 70, "SectionHeaderSpacer"], + CellID->966192456], +Cell[5180, 158, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5236, 162, 125, 4, 70, "Input", +Cell[5236, 162, 125, 4, 27, "Input", CellTags->"TID", CellID->1576573941], -Cell[5364, 168, 1703, 37, 187, "Output", +Cell[5364, 168, 1703, 37, 188, "Output", CellTags->"TID"] }, Open ]] }, Closed]] @@ -2052,70 +2053,70 @@ Cell[5364, 168, 1703, 37, 187, "Output", Cell[CellGroupData[{ Cell[7128, 212, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1140297004], + CellID->1313542478], Cell[CellGroupData[{ -Cell[7541, 231, 195, 6, 26, "ExampleSection", - CellID->742260497], +Cell[7541, 231, 196, 6, 26, "ExampleSection", + CellID->1811038592], Cell[CellGroupData[{ -Cell[7761, 241, 571, 18, 45, "Input", +Cell[7762, 241, 571, 18, 45, "Input", CellTags->"TID", CellID->1762979144], -Cell[8335, 261, 1235, 52, 66, "Output", +Cell[8336, 261, 1235, 52, 66, "Output", CellTags->"TID", CellID->618277373] }, Open ]], -Cell[9585, 316, 417, 16, 49, "Notes", +Cell[9586, 316, 417, 16, 49, "Notes", CellID->538152640], Cell[CellGroupData[{ -Cell[10027, 336, 124, 4, 27, "Input", +Cell[10028, 336, 124, 4, 27, "Input", CellID->972857906], -Cell[10154, 342, 14824, 251, 246, "Output", +Cell[10155, 342, 14866, 252, 246, "Output", CellTags->"RasterizedOutput", - CellID->947775240] + CellID->1847354466] }, Open ]], -Cell[24993, 596, 174, 5, 70, "Notes", +Cell[25036, 597, 174, 5, 32, "Notes", CellID->1396066519], Cell[CellGroupData[{ -Cell[25192, 605, 173, 5, 70, "Input", +Cell[25235, 606, 173, 5, 27, "Input", CellID->1927433685], -Cell[25368, 612, 24828, 885, 248, "Output", +Cell[25411, 613, 24828, 885, 248, "Output", CellID->1959355442] }, Open ]], -Cell[50211, 1500, 195, 5, 70, "Notes", +Cell[50254, 1501, 195, 5, 48, "Notes", CellID->709228680], Cell[CellGroupData[{ -Cell[50431, 1509, 197, 6, 70, "Input", +Cell[50474, 1510, 197, 6, 27, "Input", CellTags->"TID", CellID->1686437767], -Cell[50631, 1517, 5110, 189, 66, "Output", +Cell[50674, 1518, 5110, 189, 66, "Output", CellTags->"TID", CellID->2009295439] }, Open ]], -Cell[55756, 1709, 157, 4, 70, "Notes", +Cell[55799, 1710, 157, 4, 48, "Notes", CellID->933246479], Cell[CellGroupData[{ -Cell[55938, 1717, 746, 27, 70, "Input", +Cell[55981, 1718, 746, 27, 96, "Input", CellID->1842388488], -Cell[56687, 1746, 1363, 53, 42, "Output", +Cell[56730, 1747, 1363, 53, 42, "Output", CellID->2014366627] }, Open ]], -Cell[58065, 1802, 307, 6, 70, "Notes", +Cell[58108, 1803, 307, 6, 66, "Notes", CellID->310028709], Cell[CellGroupData[{ -Cell[58397, 1812, 174, 5, 70, "Input", +Cell[58440, 1813, 174, 5, 27, "Input", CellID->1244684528], -Cell[58574, 1819, 2693, 91, 70, "Output", +Cell[58617, 1820, 2693, 91, 70, "Output", CellID->2601191] }, Open ]] }, Open ]], -Cell[61294, 1914, 31, 0, 70, "SectionFooterSpacer"] +Cell[61337, 1915, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[61362, 1919, 270, 12, 70, "SeeAlsoSection", +Cell[61405, 1920, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[61635, 1933, 355, 13, 70, "SeeAlso"] +Cell[61678, 1934, 355, 13, 56, "SeeAlso"] }, Open ]], -Cell[62005, 1949, 23, 0, 70, "FooterCell"] +Cell[62048, 1950, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TIDL.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TIDL.nb index c70ff5c14..fdc4cb193 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TIDL.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TIDL.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6652, 204] +NotebookDataLength[ 6654, 204] NotebookOptionsPosition[ 4688, 148] -NotebookOutlinePosition[ 6445, 196] -CellTagsIndexPosition[ 6402, 193] +NotebookOutlinePosition[ 6447, 196] +CellTagsIndexPosition[ 6404, 193] WindowTitle->TIDL WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$267688], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$268713], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TIDL", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 15.583754}", + "built" -> "{2020, 6, 20, 19, 11, 49.409218}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI.nb index 237170618..486cef963 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10144, 316] -NotebookOptionsPosition[ 6945, 226] -NotebookOutlinePosition[ 9517, 292] -CellTagsIndexPosition[ 9452, 287] +NotebookDataLength[ 10087, 315] +NotebookOptionsPosition[ 6944, 226] +NotebookOutlinePosition[ 9461, 291] +CellTagsIndexPosition[ 9396, 286] WindowTitle->TLI WindowFrame->Normal*) @@ -79,7 +79,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$270787], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$271812], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TLI", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->2113120269], + CellID->257341467], Cell["", "SectionHeaderSpacer"], @@ -239,7 +239,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 22.896311}", + "built" -> "{2020, 6, 20, 19, 11, 56.533928}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -265,8 +265,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -276,17 +275,17 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "TLI"->{ - Cell[5883, 174, 124, 4, 70, "Input", + Cell[5882, 174, 124, 4, 70, "Input", CellTags->"TLI", CellID->1958640232], - Cell[6010, 180, 378, 13, 37, "Output", + Cell[6009, 180, 378, 13, 37, "Output", CellTags->"TLI", CellID->1974374076]} } *) (*CellTagsIndex CellTagsIndex->{ - {"TLI", 9260, 277} + {"TLI", 9204, 276} } *) (*NotebookFileOutline @@ -298,26 +297,26 @@ Cell[CellGroupData[{ Cell[3860, 112, 1200, 28, 197, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5085, 144, 739, 24, 31, "NotesSection", +Cell[5085, 144, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->2113120269], -Cell[5827, 170, 31, 0, 70, "SectionHeaderSpacer"], + CellID->257341467], +Cell[5826, 170, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5883, 174, 124, 4, 70, "Input", +Cell[5882, 174, 124, 4, 70, "Input", CellTags->"TLI", CellID->1958640232], -Cell[6010, 180, 378, 13, 37, "Output", +Cell[6009, 180, 378, 13, 37, "Output", CellTags->"TLI", CellID->1974374076] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6449, 200, 270, 12, 31, "SeeAlsoSection", +Cell[6448, 200, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6722, 214, 181, 7, 56, "SeeAlso"] +Cell[6721, 214, 181, 7, 56, "SeeAlso"] }, Open ]], -Cell[6918, 224, 23, 0, 41, "FooterCell"] +Cell[6917, 224, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI2.nb index bef2d5df2..ce939a4e9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6677, 207] +NotebookDataLength[ 6679, 207] NotebookOptionsPosition[ 4708, 151] -NotebookOutlinePosition[ 6470, 199] -CellTagsIndexPosition[ 6427, 196] +NotebookOutlinePosition[ 6472, 199] +CellTagsIndexPosition[ 6429, 196] WindowTitle->TLI2 WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$269461], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$270486], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TLI2", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 19.878359}", + "built" -> "{2020, 6, 20, 19, 11, 53.417072}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI2FC.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI2FC.nb index 59f0c2d32..c85a30d4e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI2FC.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLI2FC.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9188, 301] -NotebookOptionsPosition[ 6578, 221] -NotebookOutlinePosition[ 8579, 278] -CellTagsIndexPosition[ 8511, 273] +NotebookDataLength[ 9192, 301] +NotebookOptionsPosition[ 6579, 221] +NotebookOutlinePosition[ 8582, 278] +CellTagsIndexPosition[ 8514, 273] WindowTitle->TLI2FC WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$269021], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$270046], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TLI2FC", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->720851657], + CellID->1937035899], Cell["", "SectionHeaderSpacer"], @@ -222,7 +222,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TLI2FC", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -234,7 +234,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 18.904498}", + "built" -> "{2020, 6, 20, 19, 11, 52.419536}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -263,16 +263,16 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "TLI2FC"->{ - Cell[5172, 159, 129, 4, 70, "Input", + Cell[5173, 159, 129, 4, 27, "Input", CellTags->"TLI2FC", CellID->972870614], - Cell[5304, 165, 572, 17, 56, "Output", + Cell[5305, 165, 572, 17, 56, "Output", CellTags->"TLI2FC"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"TLI2FC", 8337, 264} + {"TLI2FC", 8340, 264} } *) (*NotebookFileOutline @@ -284,25 +284,25 @@ Cell[CellGroupData[{ Cell[3955, 113, 395, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4375, 129, 738, 24, 31, "NotesSection", +Cell[4375, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->720851657], -Cell[5116, 155, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1937035899], +Cell[5117, 155, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5172, 159, 129, 4, 70, "Input", +Cell[5173, 159, 129, 4, 27, "Input", CellTags->"TLI2FC", CellID->972870614], -Cell[5304, 165, 572, 17, 56, "Output", +Cell[5305, 165, 572, 17, 56, "Output", CellTags->"TLI2FC"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5937, 189, 270, 12, 31, "SeeAlsoSection", +Cell[5938, 189, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6210, 203, 326, 13, 56, "SeeAlso"] +Cell[6211, 203, 326, 13, 56, "SeeAlso"] }, Open ]], -Cell[6551, 219, 23, 0, 41, "FooterCell"] +Cell[6552, 219, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLIFP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLIFP.nb index c3c8832b5..5d1d13557 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLIFP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLIFP.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9180, 299] +NotebookDataLength[ 9125, 298] NotebookOptionsPosition[ 6528, 218] -NotebookOutlinePosition[ 8572, 276] -CellTagsIndexPosition[ 8505, 271] +NotebookOutlinePosition[ 8517, 275] +CellTagsIndexPosition[ 8450, 270] WindowTitle->TLIFP WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$269909], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$270934], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TLIFP", ".html"]], None}]}]}, @@ -150,7 +150,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1385056397], + CellID->1862601830], Cell["", "SectionHeaderSpacer"], @@ -218,8 +218,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TLIFP", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -231,7 +231,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 20.870965}", + "built" -> "{2020, 6, 20, 19, 11, 54.513873}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -250,8 +250,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -270,7 +269,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"TLIFP", 8332, 262} + {"TLIFP", 8277, 261} } *) (*NotebookFileOutline @@ -284,7 +283,7 @@ Cell[3866, 112, 388, 12, 85, "Usage", Cell[CellGroupData[{ Cell[4279, 128, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1385056397], + CellID->1862601830], Cell[5021, 154, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5077, 158, 128, 4, 70, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLIHYP.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLIHYP.nb index 221ee7f52..aed9ebedb 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLIHYP.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TLIHYP.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8963, 295] -NotebookOptionsPosition[ 6229, 212] -NotebookOutlinePosition[ 8333, 271] -CellTagsIndexPosition[ 8265, 266] +NotebookDataLength[ 8910, 294] +NotebookOptionsPosition[ 6230, 212] +NotebookOutlinePosition[ 8279, 270] +CellTagsIndexPosition[ 8211, 265] WindowTitle->TLIHYP WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$270348], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$271373], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TLIHYP", ".html"]], None}]}]}, @@ -151,7 +151,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->213045481], + CellID->1452852384], Cell["", "SectionHeaderSpacer"], @@ -213,7 +213,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TLIHYP", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -225,7 +225,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 21.876659}", + "built" -> "{2020, 6, 20, 19, 11, 55.526427}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -244,8 +244,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -255,17 +254,17 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "TLIHYP"->{ - Cell[5116, 159, 130, 4, 70, "Input", + Cell[5117, 159, 130, 4, 70, "Input", CellTags->"TLIHYP", CellID->1476708263], - Cell[5249, 165, 432, 14, 37, "Output", + Cell[5250, 165, 432, 14, 37, "Output", CellTags->"TLIHYP", CellID->1697792562]} } *) (*CellTagsIndex CellTagsIndex->{ - {"TLIHYP", 8067, 256} + {"TLIHYP", 8013, 255} } *) (*NotebookFileOutline @@ -277,26 +276,26 @@ Cell[CellGroupData[{ Cell[3872, 112, 422, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4319, 129, 738, 24, 31, "NotesSection", +Cell[4319, 129, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->213045481], -Cell[5060, 155, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1452852384], +Cell[5061, 155, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5116, 159, 130, 4, 70, "Input", +Cell[5117, 159, 130, 4, 70, "Input", CellTags->"TLIHYP", CellID->1476708263], -Cell[5249, 165, 432, 14, 37, "Output", +Cell[5250, 165, 432, 14, 37, "Output", CellTags->"TLIHYP", CellID->1697792562] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5742, 186, 270, 12, 31, "SeeAlsoSection", +Cell[5743, 186, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6015, 200, 172, 7, 56, "SeeAlso"] +Cell[6016, 200, 172, 7, 56, "SeeAlso"] }, Open ]], -Cell[6202, 210, 23, 0, 41, "FooterCell"] +Cell[6203, 210, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TR.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TR.nb index b8db67bc7..9bb41f216 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TR.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TR.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 32510, 1189] -NotebookOptionsPosition[ 22740, 877] -NotebookOutlinePosition[ 29296, 1068] -CellTagsIndexPosition[ 29169, 1061] +NotebookDataLength[ 32519, 1189] +NotebookOptionsPosition[ 22743, 877] +NotebookOutlinePosition[ 29302, 1068] +CellTagsIndexPosition[ 29175, 1061] WindowTitle->TR WindowFrame->Normal*) @@ -85,7 +85,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$278675], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$279700], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TR", ".html"]], None}]}]}, @@ -167,7 +167,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->717093042], + CellID->1987967490], Cell["", "SectionHeaderSpacer"], @@ -198,7 +198,7 @@ Cell[BoxData[ RowBox[{"TraceOfOne", "\[Rule]", "4"}], ",", RowBox[{"West", "\[Rule]", "True"}]}], "}"}], TraditionalForm]], "Output",\ - ImageSize->{548, 72}, + ImageSize->{548, 73}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[14]="] @@ -223,7 +223,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->274607088], + CellID->2141365958], Cell[CellGroupData[{ @@ -233,7 +233,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->535896717], + CellID->1526633775], Cell[CellGroupData[{ @@ -890,7 +890,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 42.859189}", + "built" -> "{2020, 6, 20, 19, 12, 14.899237}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -926,143 +926,143 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7183, 210, 387, 15, 31, "PrimaryExamplesSection", + Cell[7184, 210, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->274607088]}, + CellID->2141365958]}, "TR"->{ - Cell[7815, 239, 155, 5, 27, "Input", + Cell[7818, 239, 155, 5, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1115707365], - Cell[7973, 246, 564, 23, 37, "Output", + Cell[7976, 246, 564, 23, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[8574, 274, 123, 4, 27, "Input", + Cell[8577, 274, 123, 4, 27, "Input", CellTags->{"TR", "Tr"}, CellID->796428219], - Cell[8700, 280, 448, 18, 37, "Output", + Cell[8703, 280, 448, 18, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[9185, 303, 400, 13, 27, "Input", + Cell[9188, 303, 400, 13, 27, "Input", CellTags->{"TR", "Tr"}, CellID->934056232], - Cell[9588, 318, 2027, 83, 42, "Output", + Cell[9591, 318, 2027, 83, 42, "Output", CellTags->{"TR", "Tr"}], - Cell[11652, 406, 231, 7, 27, "Input", + Cell[11655, 406, 231, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1809199539], - Cell[11886, 415, 676, 27, 35, "Output", + Cell[11889, 415, 676, 27, 35, "Output", CellTags->{"TR", "Tr"}], - Cell[12599, 447, 196, 6, 27, "Input", + Cell[12602, 447, 196, 6, 27, "Input", CellTags->{"TR", "Tr"}, CellID->458206387], - Cell[12798, 455, 2524, 96, 37, "Output", + Cell[12801, 455, 2524, 96, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[15359, 556, 470, 15, 27, "Input", + Cell[15362, 556, 470, 15, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1692893205], - Cell[15832, 573, 627, 24, 42, "Output", + Cell[15835, 573, 627, 24, 42, "Output", CellTags->{"TR", "Tr"}], - Cell[16496, 602, 248, 8, 27, "Input", + Cell[16499, 602, 248, 8, 27, "Input", CellTags->{"TR", "Tr"}, CellID->18313474], - Cell[16747, 612, 498, 20, 39, "Output", + Cell[16750, 612, 498, 20, 39, "Output", CellTags->{"TR", "Tr"}], - Cell[17282, 637, 334, 11, 27, "Input", + Cell[17285, 637, 334, 11, 27, "Input", CellTags->{"TR", "Tr"}, CellID->496024133], - Cell[17619, 650, 895, 37, 40, "Output", + Cell[17622, 650, 895, 37, 40, "Output", CellTags->{"TR", "Tr"}], - Cell[18551, 692, 240, 7, 27, "Input", + Cell[18554, 692, 240, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1457315131], - Cell[18794, 701, 481, 19, 37, "Output", + Cell[18797, 701, 481, 19, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[19312, 725, 239, 7, 27, "Input", + Cell[19315, 725, 239, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->73677015], - Cell[19554, 734, 482, 19, 37, "Output", + Cell[19557, 734, 482, 19, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[20073, 758, 241, 7, 27, "Input", + Cell[20076, 758, 241, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1407727695], - Cell[20317, 767, 192, 6, 35, "Output", + Cell[20320, 767, 192, 6, 35, "Output", CellTags->{"TR", "Tr"}], - Cell[20546, 778, 239, 7, 27, "Input", + Cell[20549, 778, 239, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->806303782], - Cell[20788, 787, 192, 6, 35, "Output", + Cell[20791, 787, 192, 6, 35, "Output", CellTags->{"TR", "Tr"}]}, "Tr"->{ - Cell[7815, 239, 155, 5, 27, "Input", + Cell[7818, 239, 155, 5, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1115707365], - Cell[7973, 246, 564, 23, 37, "Output", + Cell[7976, 246, 564, 23, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[8574, 274, 123, 4, 27, "Input", + Cell[8577, 274, 123, 4, 27, "Input", CellTags->{"TR", "Tr"}, CellID->796428219], - Cell[8700, 280, 448, 18, 37, "Output", + Cell[8703, 280, 448, 18, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[9185, 303, 400, 13, 27, "Input", + Cell[9188, 303, 400, 13, 27, "Input", CellTags->{"TR", "Tr"}, CellID->934056232], - Cell[9588, 318, 2027, 83, 42, "Output", + Cell[9591, 318, 2027, 83, 42, "Output", CellTags->{"TR", "Tr"}], - Cell[11652, 406, 231, 7, 27, "Input", + Cell[11655, 406, 231, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1809199539], - Cell[11886, 415, 676, 27, 35, "Output", + Cell[11889, 415, 676, 27, 35, "Output", CellTags->{"TR", "Tr"}], - Cell[12599, 447, 196, 6, 27, "Input", + Cell[12602, 447, 196, 6, 27, "Input", CellTags->{"TR", "Tr"}, CellID->458206387], - Cell[12798, 455, 2524, 96, 37, "Output", + Cell[12801, 455, 2524, 96, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[15359, 556, 470, 15, 27, "Input", + Cell[15362, 556, 470, 15, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1692893205], - Cell[15832, 573, 627, 24, 42, "Output", + Cell[15835, 573, 627, 24, 42, "Output", CellTags->{"TR", "Tr"}], - Cell[16496, 602, 248, 8, 27, "Input", + Cell[16499, 602, 248, 8, 27, "Input", CellTags->{"TR", "Tr"}, CellID->18313474], - Cell[16747, 612, 498, 20, 39, "Output", + Cell[16750, 612, 498, 20, 39, "Output", CellTags->{"TR", "Tr"}], - Cell[17282, 637, 334, 11, 27, "Input", + Cell[17285, 637, 334, 11, 27, "Input", CellTags->{"TR", "Tr"}, CellID->496024133], - Cell[17619, 650, 895, 37, 40, "Output", + Cell[17622, 650, 895, 37, 40, "Output", CellTags->{"TR", "Tr"}], - Cell[18551, 692, 240, 7, 27, "Input", + Cell[18554, 692, 240, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1457315131], - Cell[18794, 701, 481, 19, 37, "Output", + Cell[18797, 701, 481, 19, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[19312, 725, 239, 7, 27, "Input", + Cell[19315, 725, 239, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->73677015], - Cell[19554, 734, 482, 19, 37, "Output", + Cell[19557, 734, 482, 19, 37, "Output", CellTags->{"TR", "Tr"}], - Cell[20073, 758, 241, 7, 27, "Input", + Cell[20076, 758, 241, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1407727695], - Cell[20317, 767, 192, 6, 35, "Output", + Cell[20320, 767, 192, 6, 35, "Output", CellTags->{"TR", "Tr"}], - Cell[20546, 778, 239, 7, 27, "Input", + Cell[20549, 778, 239, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->806303782], - Cell[20788, 787, 192, 6, 35, "Output", + Cell[20791, 787, 192, 6, 35, "Output", CellTags->{"TR", "Tr"}], - Cell[21017, 798, 174, 6, 27, "Input", + Cell[21020, 798, 174, 6, 27, "Input", CellTags->"Tr", CellID->864240014], - Cell[21194, 806, 433, 18, 37, "Output", + Cell[21197, 806, 433, 18, 37, "Output", CellTags->"Tr"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 25022, 927}, - {"TR", 25151, 931}, - {"Tr", 27081, 992} + {"PrimaryExamplesSection", 25027, 927}, + {"TR", 25157, 931}, + {"Tr", 27087, 992} } *) (*NotebookFileOutline @@ -1074,123 +1074,123 @@ Cell[CellGroupData[{ Cell[4181, 118, 1022, 23, 206, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5228, 145, 738, 24, 31, "NotesSection", +Cell[5228, 145, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->717093042], -Cell[5969, 171, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1987967490], +Cell[5970, 171, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[6025, 175, 85, 2, 70, "Input"], -Cell[6113, 179, 1009, 24, 93, "Output"] +Cell[6026, 175, 85, 2, 27, "Input"], +Cell[6114, 179, 1009, 24, 94, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7183, 210, 387, 15, 31, "PrimaryExamplesSection", +Cell[7184, 210, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->274607088], + CellID->2141365958], Cell[CellGroupData[{ -Cell[7595, 229, 195, 6, 26, "ExampleSection", - CellID->535896717], +Cell[7597, 229, 196, 6, 26, "ExampleSection", + CellID->1526633775], Cell[CellGroupData[{ -Cell[7815, 239, 155, 5, 27, "Input", +Cell[7818, 239, 155, 5, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1115707365], -Cell[7973, 246, 564, 23, 37, "Output", +Cell[7976, 246, 564, 23, 37, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[8574, 274, 123, 4, 27, "Input", +Cell[8577, 274, 123, 4, 27, "Input", CellTags->{"TR", "Tr"}, CellID->796428219], -Cell[8700, 280, 448, 18, 37, "Output", +Cell[8703, 280, 448, 18, 37, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[9185, 303, 400, 13, 27, "Input", +Cell[9188, 303, 400, 13, 27, "Input", CellTags->{"TR", "Tr"}, CellID->934056232], -Cell[9588, 318, 2027, 83, 42, "Output", +Cell[9591, 318, 2027, 83, 42, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[11652, 406, 231, 7, 27, "Input", +Cell[11655, 406, 231, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1809199539], -Cell[11886, 415, 676, 27, 35, "Output", +Cell[11889, 415, 676, 27, 35, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[12599, 447, 196, 6, 27, "Input", +Cell[12602, 447, 196, 6, 27, "Input", CellTags->{"TR", "Tr"}, CellID->458206387], -Cell[12798, 455, 2524, 96, 37, "Output", +Cell[12801, 455, 2524, 96, 37, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[15359, 556, 470, 15, 27, "Input", +Cell[15362, 556, 470, 15, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1692893205], -Cell[15832, 573, 627, 24, 42, "Output", +Cell[15835, 573, 627, 24, 42, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[16496, 602, 248, 8, 27, "Input", +Cell[16499, 602, 248, 8, 27, "Input", CellTags->{"TR", "Tr"}, CellID->18313474], -Cell[16747, 612, 498, 20, 39, "Output", +Cell[16750, 612, 498, 20, 39, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[17282, 637, 334, 11, 27, "Input", +Cell[17285, 637, 334, 11, 27, "Input", CellTags->{"TR", "Tr"}, CellID->496024133], -Cell[17619, 650, 895, 37, 40, "Output", +Cell[17622, 650, 895, 37, 40, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[18551, 692, 240, 7, 27, "Input", +Cell[18554, 692, 240, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1457315131], -Cell[18794, 701, 481, 19, 37, "Output", +Cell[18797, 701, 481, 19, 37, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[19312, 725, 239, 7, 27, "Input", +Cell[19315, 725, 239, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->73677015], -Cell[19554, 734, 482, 19, 37, "Output", +Cell[19557, 734, 482, 19, 37, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[20073, 758, 241, 7, 27, "Input", +Cell[20076, 758, 241, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->1407727695], -Cell[20317, 767, 192, 6, 35, "Output", +Cell[20320, 767, 192, 6, 35, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[20546, 778, 239, 7, 27, "Input", +Cell[20549, 778, 239, 7, 27, "Input", CellTags->{"TR", "Tr"}, CellID->806303782], -Cell[20788, 787, 192, 6, 35, "Output", +Cell[20791, 787, 192, 6, 35, "Output", CellTags->{"TR", "Tr"}] }, Open ]], Cell[CellGroupData[{ -Cell[21017, 798, 174, 6, 27, "Input", +Cell[21020, 798, 174, 6, 27, "Input", CellTags->"Tr", CellID->864240014], -Cell[21194, 806, 433, 18, 37, "Output", +Cell[21197, 806, 433, 18, 37, "Output", CellTags->"Tr"] }, Open ]] }, Open ]], -Cell[21654, 828, 31, 0, 29, "SectionFooterSpacer"] +Cell[21657, 828, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[21722, 833, 270, 12, 31, "SeeAlsoSection", +Cell[21725, 833, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[21995, 847, 703, 25, 56, "SeeAlso"] +Cell[21998, 847, 703, 25, 56, "SeeAlso"] }, Open ]], -Cell[22713, 875, 23, 0, 41, "FooterCell"] +Cell[22716, 875, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tdec.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tdec.nb index 9cfaf1d3f..5e052cbd3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tdec.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tdec.nb @@ -11,9 +11,9 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] NotebookDataLength[ 38252, 1417] -NotebookOptionsPosition[ 33570, 1268] -NotebookOutlinePosition[ 36544, 1353] -CellTagsIndexPosition[ 36434, 1347] +NotebookOptionsPosition[ 33569, 1268] +NotebookOutlinePosition[ 36545, 1353] +CellTagsIndexPosition[ 36435, 1347] WindowTitle->Tdec WindowFrame->Normal*) @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$264194], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$265219], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Tdec", ".html"]], None}]}]}, @@ -170,7 +170,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1466909563], + CellID->366854490], Cell["", "SectionHeaderSpacer"], @@ -224,7 +224,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->326893928], + CellID->1454391395], Cell[CellGroupData[{ @@ -234,7 +234,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1039168438], + CellID->224388869], Cell[TextData[{ "Check that ", @@ -1269,7 +1269,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 31}}, WindowTitle->"Tdec", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -1281,7 +1281,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 6.786373}", + "built" -> "{2020, 6, 20, 19, 11, 41.146124}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -1312,36 +1312,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "Tdec"->{ - Cell[5922, 178, 128, 4, 70, "Input", + Cell[5921, 178, 128, 4, 70, "Input", CellTags->"Tdec", CellID->1946686101], - Cell[6053, 184, 771, 20, 75, "Output", + Cell[6052, 184, 771, 20, 75, "Output", CellTags->"Tdec"], - Cell[8111, 263, 220, 8, 27, "Input", + Cell[8110, 263, 220, 8, 27, "Input", CellTags->"Tdec", CellID->1371643363], - Cell[8334, 273, 1146, 45, 58, "Output", + Cell[8333, 273, 1146, 45, 58, "Output", CellTags->"Tdec"], - Cell[9517, 323, 217, 8, 27, "Input", + Cell[9516, 323, 217, 8, 27, "Input", CellTags->"Tdec", CellID->1861786454], - Cell[9737, 333, 1035, 45, 63, "Output", + Cell[9736, 333, 1035, 45, 63, "Output", CellTags->"Tdec", CellID->920674629], - Cell[11570, 412, 525, 18, 27, "Input", + Cell[11569, 412, 525, 18, 27, "Input", CellTags->"Tdec", CellID->739868135], - Cell[12098, 432, 18778, 710, 244, "Output", + Cell[12097, 432, 18778, 710, 244, "Output", CellTags->"Tdec"], - Cell[30913, 1147, 398, 14, 27, "Input", + Cell[30912, 1147, 398, 14, 27, "Input", CellTags->"Tdec", CellID->1116880881], - Cell[31314, 1163, 1347, 58, 38, "Output", + Cell[31313, 1163, 1347, 58, 38, "Output", CellTags->"Tdec"]}, "PrimaryExamplesSection"->{ - Cell[6885, 211, 387, 15, 31, "PrimaryExamplesSection", + Cell[6884, 211, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->326893928]} + CellID->1454391395]} } *) (*CellTagsIndex @@ -1359,66 +1359,66 @@ Cell[CellGroupData[{ Cell[4039, 114, 1060, 30, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5124, 148, 739, 24, 31, "NotesSection", +Cell[5124, 148, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1466909563], -Cell[5866, 174, 31, 0, 70, "SectionHeaderSpacer"], + CellID->366854490], +Cell[5865, 174, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5922, 178, 128, 4, 70, "Input", +Cell[5921, 178, 128, 4, 70, "Input", CellTags->"Tdec", CellID->1946686101], -Cell[6053, 184, 771, 20, 75, "Output", +Cell[6052, 184, 771, 20, 75, "Output", CellTags->"Tdec"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6885, 211, 387, 15, 31, "PrimaryExamplesSection", +Cell[6884, 211, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->326893928], + CellID->1454391395], Cell[CellGroupData[{ -Cell[7297, 230, 196, 6, 26, "ExampleSection", - CellID->1039168438], -Cell[7496, 238, 590, 21, 56, "Notes"], +Cell[7297, 230, 195, 6, 26, "ExampleSection", + CellID->224388869], +Cell[7495, 238, 590, 21, 56, "Notes"], Cell[CellGroupData[{ -Cell[8111, 263, 220, 8, 27, "Input", +Cell[8110, 263, 220, 8, 27, "Input", CellTags->"Tdec", CellID->1371643363], -Cell[8334, 273, 1146, 45, 58, "Output", +Cell[8333, 273, 1146, 45, 58, "Output", CellTags->"Tdec"] }, Open ]], Cell[CellGroupData[{ -Cell[9517, 323, 217, 8, 27, "Input", +Cell[9516, 323, 217, 8, 27, "Input", CellTags->"Tdec", CellID->1861786454], -Cell[9737, 333, 1035, 45, 63, "Output", +Cell[9736, 333, 1035, 45, 63, "Output", CellTags->"Tdec", CellID->920674629] }, Open ]], -Cell[10787, 381, 758, 27, 38, "Notes"], +Cell[10786, 381, 758, 27, 38, "Notes"], Cell[CellGroupData[{ -Cell[11570, 412, 525, 18, 27, "Input", +Cell[11569, 412, 525, 18, 27, "Input", CellTags->"Tdec", CellID->739868135], -Cell[12098, 432, 18778, 710, 244, "Output", +Cell[12097, 432, 18778, 710, 244, "Output", CellTags->"Tdec"] }, Open ]], Cell[CellGroupData[{ -Cell[30913, 1147, 398, 14, 27, "Input", +Cell[30912, 1147, 398, 14, 27, "Input", CellTags->"Tdec", CellID->1116880881], -Cell[31314, 1163, 1347, 58, 38, "Output", +Cell[31313, 1163, 1347, 58, 38, "Output", CellTags->"Tdec"] }, Open ]] }, Open ]], -Cell[32688, 1225, 31, 0, 29, "SectionFooterSpacer"] +Cell[32687, 1225, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[32756, 1230, 270, 12, 31, "SeeAlsoSection", +Cell[32755, 1230, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[33029, 1244, 499, 19, 56, "SeeAlso"] +Cell[33028, 1244, 499, 19, 56, "SeeAlso"] }, Open ]], -Cell[33543, 1266, 23, 0, 41, "FooterCell"] +Cell[33542, 1266, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TemporalMomentum.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TemporalMomentum.nb index 383219bef..fe903737a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TemporalMomentum.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TemporalMomentum.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10436, 357] -NotebookOptionsPosition[ 7059, 254] -NotebookOutlinePosition[ 9314, 313] -CellTagsIndexPosition[ 9230, 308] +NotebookDataLength[ 10391, 356] +NotebookOptionsPosition[ 7062, 254] +NotebookOutlinePosition[ 9266, 312] +CellTagsIndexPosition[ 9182, 307] WindowTitle->TemporalMomentum WindowFrame->Normal*) @@ -59,7 +59,7 @@ TemporalMomentum.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$264632], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$265657], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TemporalMomentum", ".html"]], None}]}]}, @@ -125,7 +125,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->931447114], + CellID->1891131984], Cell[CellGroupData[{ @@ -135,7 +135,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->86841959], + CellID->1638597741], Cell[CellGroupData[{ @@ -255,7 +255,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TemporalMomentum", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -267,7 +267,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 7.975558}", + "built" -> "{2020, 6, 20, 19, 11, 42.197954}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -289,8 +289,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -300,14 +299,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3913, 112, 387, 15, 31, "PrimaryExamplesSection", + Cell[3913, 112, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->931447114]} + CellID->1891131984]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9087, 301} + {"PrimaryExamplesSection", 9038, 300} } *) (*NotebookFileOutline @@ -318,47 +317,47 @@ Cell[2897, 76, 293, 11, 45, "ObjectNameGrid"], Cell[3193, 89, 695, 19, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3913, 112, 387, 15, 31, "PrimaryExamplesSection", +Cell[3913, 112, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->931447114], + CellID->1891131984], Cell[CellGroupData[{ -Cell[4325, 131, 194, 6, 26, "ExampleSection", - CellID->86841959], +Cell[4326, 131, 196, 6, 26, "ExampleSection", + CellID->1638597741], Cell[CellGroupData[{ -Cell[4544, 141, 112, 3, 27, "Input", +Cell[4547, 141, 112, 3, 27, "Input", CellID->725881102], -Cell[4659, 146, 218, 8, 37, "Output", +Cell[4662, 146, 218, 8, 37, "Output", CellID->840506171] }, Open ]], Cell[CellGroupData[{ -Cell[4914, 159, 195, 5, 45, "Input", +Cell[4917, 159, 195, 5, 45, "Input", CellID->1422787809], -Cell[5112, 166, 274, 11, 37, "Output", +Cell[5115, 166, 274, 11, 37, "Output", CellID->814079182], -Cell[5389, 179, 234, 7, 51, "Output", +Cell[5392, 179, 234, 7, 51, "Output", CellID->1315072307] }, Open ]], Cell[CellGroupData[{ -Cell[5660, 191, 136, 4, 27, "Input", +Cell[5663, 191, 136, 4, 27, "Input", CellID->1886426636], -Cell[5799, 197, 314, 13, 37, "Output", +Cell[5802, 197, 314, 13, 37, "Output", CellID->833454644] }, Open ]], Cell[CellGroupData[{ -Cell[6150, 215, 142, 4, 27, "Input", +Cell[6153, 215, 142, 4, 27, "Input", CellID->1915692055], -Cell[6295, 221, 280, 8, 51, "Output", +Cell[6298, 221, 280, 8, 51, "Output", CellID->14215335] }, Open ]], Cell[CellGroupData[{ -Cell[6612, 234, 142, 4, 27, "Input", +Cell[6615, 234, 142, 4, 27, "Input", CellID->928717436], -Cell[6757, 240, 236, 7, 51, "Output", +Cell[6760, 240, 236, 7, 51, "Output", CellID->2413350] }, Open ]] }, Open ]] }, Open ]], -Cell[7032, 252, 23, 0, 70, "FooterCell"] +Cell[7035, 252, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TemporalPair.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TemporalPair.nb index e2fcc099e..fb8440153 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TemporalPair.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TemporalPair.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 9215, 308] +NotebookDataLength[ 9161, 307] NotebookOptionsPosition[ 6250, 220] -NotebookOutlinePosition[ 8447, 278] -CellTagsIndexPosition[ 8363, 273] +NotebookOutlinePosition[ 8393, 277] +CellTagsIndexPosition[ 8309, 272] WindowTitle->TemporalPair WindowFrame->Normal*) @@ -59,7 +59,7 @@ TemporalPair.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$265063], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$266088], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TemporalPair", ".html"]], None}]}]}, @@ -122,7 +122,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1397856466], + CellID->2110576513], Cell[CellGroupData[{ @@ -132,7 +132,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1733671442], + CellID->1373209757], Cell[CellGroupData[{ @@ -233,7 +233,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 9.082738}", + "built" -> "{2020, 6, 20, 19, 11, 43.204427}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -254,8 +254,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -267,12 +266,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3788, 109, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1397856466]} + CellID->2110576513]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8219, 266} + {"PrimaryExamplesSection", 8165, 265} } *) (*NotebookFileOutline @@ -285,10 +284,10 @@ Cell[3169, 89, 594, 16, 102, "Usage", Cell[CellGroupData[{ Cell[3788, 109, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1397856466], + CellID->2110576513], Cell[CellGroupData[{ Cell[4201, 128, 196, 6, 26, "ExampleSection", - CellID->1733671442], + CellID->1373209757], Cell[CellGroupData[{ Cell[4422, 138, 224, 6, 27, "Input", CellID->1437571233], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TensorFunction.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TensorFunction.nb index cb1e36d82..a237c0d35 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TensorFunction.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TensorFunction.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16407, 567] +NotebookDataLength[ 16355, 566] NotebookOptionsPosition[ 10513, 386] -NotebookOutlinePosition[ 14298, 490] -CellTagsIndexPosition[ 14180, 484] +NotebookOutlinePosition[ 14246, 489] +CellTagsIndexPosition[ 14128, 483] WindowTitle->Tensorfunction WindowFrame->Normal*) @@ -79,7 +79,7 @@ Tensorfunction.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$265493], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$266518], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Tensorfunction", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->672248374], + CellID->1056501740], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1096616352], + CellID->939099012], Cell[CellGroupData[{ @@ -338,7 +338,7 @@ Cell[BoxData[ Cell[BoxData[ FormBox[ RowBox[{"{", "Orderless", "}"}], TraditionalForm]], "Output", - ImageSize->{69, 14}, + ImageSize->{69, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"TensorFunction", @@ -387,7 +387,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Tensorfunction", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -398,7 +398,7 @@ TaggingRules->{ BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> Left], "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 10.177863}", + "built" -> "{2020, 6, 20, 19, 11, 44.203631}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -421,8 +421,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -432,9 +431,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4640, 131, 387, 15, 31, "PrimaryExamplesSection", + Cell[4640, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->672248374]}, + CellID->1056501740]}, "TensorFunction"->{ Cell[5273, 160, 196, 5, 27, "Input", CellTags->"TensorFunction", @@ -474,7 +473,7 @@ CellTagsIndex->{ Cell[9365, 331, 136, 4, 27, "Input", CellTags->"TensorFunction", CellID->1446205961], - Cell[9504, 337, 226, 7, 35, "Output", + Cell[9504, 337, 226, 7, 37, "Output", CellTags->"TensorFunction"], Cell[9745, 347, 171, 5, 27, "Input", CellTags->"TensorFunction", @@ -483,8 +482,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12592, 433}, - {"TensorFunction", 12733, 437} + {"PrimaryExamplesSection", 12539, 432}, + {"TensorFunction", 12681, 436} } *) (*NotebookFileOutline @@ -495,12 +494,12 @@ Cell[3624, 97, 291, 11, 45, "ObjectNameGrid"], Cell[3918, 110, 697, 17, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4640, 131, 387, 15, 31, "PrimaryExamplesSection", +Cell[4640, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->672248374], + CellID->1056501740], Cell[CellGroupData[{ -Cell[5052, 150, 196, 6, 26, "ExampleSection", - CellID->1096616352], +Cell[5053, 150, 195, 6, 26, "ExampleSection", + CellID->939099012], Cell[CellGroupData[{ Cell[5273, 160, 196, 5, 27, "Input", CellTags->"TensorFunction", @@ -554,7 +553,7 @@ Cell[CellGroupData[{ Cell[9365, 331, 136, 4, 27, "Input", CellTags->"TensorFunction", CellID->1446205961], -Cell[9504, 337, 226, 7, 35, "Output", +Cell[9504, 337, 226, 7, 37, "Output", CellTags->"TensorFunction"] }, Open ]], Cell[9745, 347, 171, 5, 27, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tf.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tf.nb index ee267cf26..e831e776a 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tf.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tf.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7366, 228] +NotebookDataLength[ 7368, 228] NotebookOptionsPosition[ 5417, 173] -NotebookOutlinePosition[ 7157, 220] -CellTagsIndexPosition[ 7114, 217] +NotebookOutlinePosition[ 7159, 220] +CellTagsIndexPosition[ 7116, 217] WindowTitle->Tf WindowFrame->Normal*) @@ -82,7 +82,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$266370], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$267395], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Tf", ".html"]], None}]}]}, @@ -186,7 +186,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 12.482373}", + "built" -> "{2020, 6, 20, 19, 11, 46.412012}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ThreeDivergence.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ThreeDivergence.nb index 4c824e05d..d3bbc2d78 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ThreeDivergence.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ThreeDivergence.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16610, 596] -NotebookOptionsPosition[ 11759, 442] -NotebookOutlinePosition[ 14766, 526] -CellTagsIndexPosition[ 14648, 520] +NotebookDataLength[ 16555, 595] +NotebookOptionsPosition[ 11758, 442] +NotebookOutlinePosition[ 14712, 525] +CellTagsIndexPosition[ 14594, 519] WindowTitle->ThreeDivergence WindowFrame->Normal*) @@ -59,7 +59,7 @@ ThreeDivergence.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$267248], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$268273], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ThreeDivergence", ".html"]], None}]}]}, @@ -135,7 +135,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->562980888], + CellID->230484058], Cell["", "SectionHeaderSpacer"], @@ -187,7 +187,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1581051720], + CellID->1457076980], Cell[CellGroupData[{ @@ -197,7 +197,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1522001485], + CellID->954755372], Cell[CellGroupData[{ @@ -443,7 +443,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ThreeDivergence", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -455,7 +455,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 14.498927}", + "built" -> "{2020, 6, 20, 19, 11, 48.333312}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -476,8 +476,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -489,38 +488,38 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5624, 174, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1581051720]}, + CellID->1457076980]}, "FourDivergence"->{ - Cell[6258, 203, 152, 5, 27, "Input", + Cell[6257, 203, 152, 5, 27, "Input", CellTags->"FourDivergence", CellID->1686706616], - Cell[6413, 210, 626, 26, 37, "Output", + Cell[6412, 210, 626, 26, 37, "Output", CellTags->"FourDivergence", CellID->1220009152], - Cell[7076, 241, 219, 7, 27, "Input", + Cell[7075, 241, 219, 7, 27, "Input", CellTags->"FourDivergence", CellID->1594453358], - Cell[7298, 250, 544, 23, 40, "Output", + Cell[7297, 250, 544, 23, 40, "Output", CellTags->"FourDivergence", CellID->1633407757], - Cell[7879, 278, 176, 6, 27, "Input", + Cell[7878, 278, 176, 6, 27, "Input", CellTags->"FourDivergence", CellID->1521326595], - Cell[8058, 286, 938, 39, 39, "Output", + Cell[8057, 286, 938, 39, 39, "Output", CellTags->"FourDivergence", CellID->622756803], - Cell[9033, 330, 218, 7, 27, "Input", + Cell[9032, 330, 218, 7, 27, "Input", CellTags->"FourDivergence", CellID->822682822], - Cell[9254, 339, 578, 24, 40, "Output", + Cell[9253, 339, 578, 24, 40, "Output", CellTags->"FourDivergence", CellID->1912109557]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13724, 488}, - {"FourDivergence", 13866, 492} + {"PrimaryExamplesSection", 13670, 487}, + {"FourDivergence", 13812, 491} } *) (*NotebookFileOutline @@ -534,7 +533,7 @@ Cell[3209, 91, 643, 18, 103, "Usage", Cell[CellGroupData[{ Cell[3877, 113, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->562980888], + CellID->230484058], Cell[4618, 139, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[4674, 143, 120, 3, 70, "Input", @@ -547,57 +546,57 @@ Cell[4797, 148, 766, 19, 75, "Output", Cell[CellGroupData[{ Cell[5624, 174, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1581051720], + CellID->1457076980], Cell[CellGroupData[{ -Cell[6037, 193, 196, 6, 26, "ExampleSection", - CellID->1522001485], +Cell[6037, 193, 195, 6, 26, "ExampleSection", + CellID->954755372], Cell[CellGroupData[{ -Cell[6258, 203, 152, 5, 27, "Input", +Cell[6257, 203, 152, 5, 27, "Input", CellTags->"FourDivergence", CellID->1686706616], -Cell[6413, 210, 626, 26, 37, "Output", +Cell[6412, 210, 626, 26, 37, "Output", CellTags->"FourDivergence", CellID->1220009152] }, Open ]], Cell[CellGroupData[{ -Cell[7076, 241, 219, 7, 27, "Input", +Cell[7075, 241, 219, 7, 27, "Input", CellTags->"FourDivergence", CellID->1594453358], -Cell[7298, 250, 544, 23, 40, "Output", +Cell[7297, 250, 544, 23, 40, "Output", CellTags->"FourDivergence", CellID->1633407757] }, Open ]], Cell[CellGroupData[{ -Cell[7879, 278, 176, 6, 27, "Input", +Cell[7878, 278, 176, 6, 27, "Input", CellTags->"FourDivergence", CellID->1521326595], -Cell[8058, 286, 938, 39, 39, "Output", +Cell[8057, 286, 938, 39, 39, "Output", CellTags->"FourDivergence", CellID->622756803] }, Open ]], Cell[CellGroupData[{ -Cell[9033, 330, 218, 7, 27, "Input", +Cell[9032, 330, 218, 7, 27, "Input", CellTags->"FourDivergence", CellID->822682822], -Cell[9254, 339, 578, 24, 40, "Output", +Cell[9253, 339, 578, 24, 40, "Output", CellTags->"FourDivergence", CellID->1912109557] }, Open ]], Cell[CellGroupData[{ -Cell[9869, 368, 173, 6, 27, "Input", +Cell[9868, 368, 173, 6, 27, "Input", CellID->1112899700], -Cell[10045, 376, 495, 14, 61, "Output", +Cell[10044, 376, 495, 14, 61, "Output", CellID->234224878] }, Open ]], Cell[CellGroupData[{ -Cell[10577, 395, 190, 6, 27, "Input", +Cell[10576, 395, 190, 6, 27, "Input", CellID->703915902], -Cell[10770, 403, 923, 32, 65, "Output", +Cell[10769, 403, 923, 32, 65, "Output", CellID->2017197915] }, Open ]] }, Open ]] }, Open ]], -Cell[11732, 440, 23, 0, 41, "FooterCell"] +Cell[11731, 440, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TimedIntegrate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TimedIntegrate.nb index 9ae6dd1ec..4a7864bcd 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TimedIntegrate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TimedIntegrate.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 11518, 383] -NotebookOptionsPosition[ 7594, 264] -NotebookOutlinePosition[ 10314, 339] -CellTagsIndexPosition[ 10197, 333] +NotebookDataLength[ 11524, 383] +NotebookOptionsPosition[ 7596, 264] +NotebookOutlinePosition[ 10318, 339] +CellTagsIndexPosition[ 10201, 333] WindowTitle->TimedIntegrate WindowFrame->Normal*) @@ -59,7 +59,7 @@ TimedIntegrate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$268584], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$269609], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TimedIntegrate", ".html"]], None}]}]}, @@ -131,7 +131,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->504061400], + CellID->1465063175], Cell["", "SectionHeaderSpacer"], @@ -182,7 +182,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1378897368], + CellID->1399041497], Cell[CellGroupData[{ @@ -192,7 +192,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->461202344], + CellID->1863124705], Cell["This should reach to be done", "Notes"], @@ -265,7 +265,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TimedIntegrate", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -277,7 +277,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 17.826767}", + "built" -> "{2020, 6, 20, 19, 11, 51.420995}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -308,32 +308,32 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "TimedIntegrate"->{ - Cell[4555, 139, 144, 4, 70, "Input", + Cell[4556, 139, 144, 4, 27, "Input", CellTags->"TimedIntegrate", CellID->92169636], - Cell[4702, 145, 530, 17, 37, "Output", + Cell[4703, 145, 530, 17, 37, "Output", CellTags->"TimedIntegrate", CellID->1160941869], - Cell[5974, 200, 323, 10, 27, "Input", + Cell[5976, 200, 323, 10, 27, "Input", CellTags->"TimedIntegrate", CellID->2109784600], - Cell[6300, 212, 213, 7, 35, "Output", + Cell[6302, 212, 213, 7, 35, "Output", CellTags->"TimedIntegrate"], - Cell[6584, 226, 407, 12, 27, "Input", + Cell[6586, 226, 407, 12, 27, "Input", CellTags->"TimedIntegrate", CellID->2007698884], - Cell[6994, 240, 534, 17, 43, "Output", + Cell[6996, 240, 534, 17, 43, "Output", CellTags->"TimedIntegrate"]}, "PrimaryExamplesSection"->{ - Cell[5293, 169, 388, 15, 31, "PrimaryExamplesSection", + Cell[5294, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1378897368]} + CellID->1399041497]} } *) (*CellTagsIndex CellTagsIndex->{ - {"TimedIntegrate", 9500, 309}, - {"PrimaryExamplesSection", 10053, 326} + {"TimedIntegrate", 9504, 309}, + {"PrimaryExamplesSection", 10057, 326} } *) (*NotebookFileOutline @@ -345,46 +345,46 @@ Cell[CellGroupData[{ Cell[3203, 91, 530, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3758, 109, 738, 24, 31, "NotesSection", +Cell[3758, 109, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->504061400], -Cell[4499, 135, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1465063175], +Cell[4500, 135, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4555, 139, 144, 4, 70, "Input", +Cell[4556, 139, 144, 4, 27, "Input", CellTags->"TimedIntegrate", CellID->92169636], -Cell[4702, 145, 530, 17, 37, "Output", +Cell[4703, 145, 530, 17, 37, "Output", CellTags->"TimedIntegrate", CellID->1160941869] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5293, 169, 388, 15, 31, "PrimaryExamplesSection", +Cell[5294, 169, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1378897368], + CellID->1399041497], Cell[CellGroupData[{ -Cell[5706, 188, 195, 6, 26, "ExampleSection", - CellID->461202344], -Cell[5904, 196, 45, 0, 32, "Notes"], +Cell[5707, 188, 196, 6, 26, "ExampleSection", + CellID->1863124705], +Cell[5906, 196, 45, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[5974, 200, 323, 10, 27, "Input", +Cell[5976, 200, 323, 10, 27, "Input", CellTags->"TimedIntegrate", CellID->2109784600], -Cell[6300, 212, 213, 7, 35, "Output", +Cell[6302, 212, 213, 7, 35, "Output", CellTags->"TimedIntegrate"] }, Open ]], -Cell[6528, 222, 31, 0, 32, "Notes"], +Cell[6530, 222, 31, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[6584, 226, 407, 12, 27, "Input", +Cell[6586, 226, 407, 12, 27, "Input", CellTags->"TimedIntegrate", CellID->2007698884], -Cell[6994, 240, 534, 17, 43, "Output", +Cell[6996, 240, 534, 17, 43, "Output", CellTags->"TimedIntegrate"] }, Open ]] }, Open ]] }, Open ]], -Cell[7567, 262, 23, 0, 41, "FooterCell"] +Cell[7569, 262, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDiracGamma67.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDiracGamma67.nb index 62048ca42..6c3fca191 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDiracGamma67.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDiracGamma67.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16086, 582] -NotebookOptionsPosition[ 12292, 462] -NotebookOutlinePosition[ 14402, 519] -CellTagsIndexPosition[ 14317, 514] +NotebookDataLength[ 16095, 582] +NotebookOptionsPosition[ 12294, 462] +NotebookOutlinePosition[ 14409, 519] +CellTagsIndexPosition[ 14324, 514] WindowTitle->ToDiracGamma67 WindowFrame->Normal*) @@ -83,7 +83,7 @@ ToDiracGamma67.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$271230], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$272255], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToDiracGamma67", ".html"]], None}]}]}, @@ -173,7 +173,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->650552010], + CellID->2051573691], Cell["", "SectionHeaderSpacer"], @@ -219,7 +219,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->998811706], + CellID->1862452528], Cell[CellGroupData[{ @@ -229,7 +229,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1710988442], + CellID->1949067740], Cell[CellGroupData[{ @@ -463,7 +463,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ToDiracGamma67", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -475,7 +475,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 23.919250}", + "built" -> "{2020, 6, 20, 19, 11, 57.541741}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -506,14 +506,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6551, 206, 387, 15, 31, "PrimaryExamplesSection", + Cell[6552, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->998811706]} + CellID->1862452528]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 14174, 507} + {"PrimaryExamplesSection", 14180, 507} } *) (*NotebookFileOutline @@ -525,65 +525,65 @@ Cell[CellGroupData[{ Cell[4152, 116, 954, 31, 95, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5131, 151, 738, 24, 31, "NotesSection", +Cell[5131, 151, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->650552010], -Cell[5872, 177, 31, 0, 70, "SectionHeaderSpacer"], + CellID->2051573691], +Cell[5873, 177, 31, 0, 14, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5928, 181, 118, 3, 70, "Input", +Cell[5929, 181, 118, 3, 27, "Input", CellID->1244957086], -Cell[6049, 186, 441, 13, 37, "Output", +Cell[6050, 186, 441, 13, 37, "Output", CellID->1120530329] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6551, 206, 387, 15, 31, "PrimaryExamplesSection", +Cell[6552, 206, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->998811706], + CellID->1862452528], Cell[CellGroupData[{ -Cell[6963, 225, 196, 6, 26, "ExampleSection", - CellID->1710988442], +Cell[6965, 225, 196, 6, 26, "ExampleSection", + CellID->1949067740], Cell[CellGroupData[{ -Cell[7184, 235, 297, 10, 27, "Input", +Cell[7186, 235, 297, 10, 27, "Input", CellID->119316199], -Cell[7484, 247, 816, 33, 67, "Output", +Cell[7486, 247, 816, 33, 67, "Output", CellID->456223256] }, Open ]], Cell[CellGroupData[{ -Cell[8337, 285, 111, 3, 27, "Input", +Cell[8339, 285, 111, 3, 27, "Input", CellID->1777747913], -Cell[8451, 290, 583, 23, 39, "Output", +Cell[8453, 290, 583, 23, 39, "Output", CellID->2019607797] }, Open ]], Cell[CellGroupData[{ -Cell[9071, 318, 125, 3, 9, "ExampleDelimiter", +Cell[9073, 318, 125, 3, 9, "ExampleDelimiter", CellID->887106529], -Cell[9199, 323, 280, 10, 32, "Notes", +Cell[9201, 323, 280, 10, 32, "Notes", CellID->1359052355], Cell[CellGroupData[{ -Cell[9504, 337, 139, 4, 27, "Input", +Cell[9506, 337, 139, 4, 27, "Input", CellID->386162109], -Cell[9646, 343, 701, 29, 40, "Output", +Cell[9648, 343, 701, 29, 40, "Output", CellID->1261413630] }, Open ]], Cell[CellGroupData[{ -Cell[10384, 377, 168, 5, 27, "Input", +Cell[10386, 377, 168, 5, 27, "Input", CellID->805294007], -Cell[10555, 384, 742, 29, 42, "Output", +Cell[10557, 384, 742, 29, 42, "Output", CellID->1465454235] }, Open ]] }, Open ]] }, Open ]], -Cell[11336, 418, 31, 0, 29, "SectionFooterSpacer"] +Cell[11338, 418, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[11404, 423, 270, 12, 31, "SeeAlsoSection", +Cell[11406, 423, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[11677, 437, 573, 20, 56, "SeeAlso", +Cell[11679, 437, 573, 20, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[12265, 460, 23, 0, 41, "FooterCell"] +Cell[12267, 460, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDiracSigma.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDiracSigma.nb index a0ed99b65..eba0272d5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDiracSigma.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDiracSigma.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16994, 617] +NotebookDataLength[ 16938, 616] NotebookOptionsPosition[ 13339, 503] -NotebookOutlinePosition[ 15470, 560] -CellTagsIndexPosition[ 15385, 555] +NotebookOutlinePosition[ 15414, 559] +CellTagsIndexPosition[ 15329, 554] WindowTitle->ToDiracSigma WindowFrame->Normal*) @@ -82,7 +82,7 @@ ToDiracSigma.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$271672], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$272697], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToDiracSigma", ".html"]], None}]}]}, @@ -162,7 +162,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->704936112], + CellID->1007134409], Cell["", "SectionHeaderSpacer"], @@ -207,7 +207,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->318237621], + CellID->81823370], Cell[CellGroupData[{ @@ -217,7 +217,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2037882370], + CellID->1255975487], Cell[CellGroupData[{ @@ -516,7 +516,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 25.107040}", + "built" -> "{2020, 6, 20, 19, 11, 58.645729}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -536,8 +536,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -547,14 +546,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6231, 194, 387, 15, 31, "PrimaryExamplesSection", + Cell[6232, 194, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->318237621]} + CellID->81823370]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 15242, 548} + {"PrimaryExamplesSection", 15187, 547} } *) (*NotebookFileOutline @@ -566,25 +565,25 @@ Cell[CellGroupData[{ Cell[4128, 115, 708, 21, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4861, 140, 738, 24, 31, "NotesSection", +Cell[4861, 140, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->704936112], -Cell[5602, 166, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1007134409], +Cell[5603, 166, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5658, 170, 116, 3, 70, "Input", +Cell[5659, 170, 116, 3, 70, "Input", CellID->1520368517], -Cell[5777, 175, 393, 12, 37, "Output", +Cell[5778, 175, 393, 12, 37, "Output", CellID->1507997613] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6231, 194, 387, 15, 31, "PrimaryExamplesSection", +Cell[6232, 194, 386, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->318237621], + CellID->81823370], Cell[CellGroupData[{ Cell[6643, 213, 196, 6, 26, "ExampleSection", - CellID->2037882370], + CellID->1255975487], Cell[CellGroupData[{ Cell[6864, 223, 129, 4, 27, "Input", CellID->864481271], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDistribution.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDistribution.nb index 104a09787..7cfa92a0e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDistribution.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToDistribution.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 17750, 607] -NotebookOptionsPosition[ 12704, 456] -NotebookOutlinePosition[ 16029, 545] -CellTagsIndexPosition[ 15911, 539] +NotebookDataLength[ 17695, 606] +NotebookOptionsPosition[ 12703, 456] +NotebookOutlinePosition[ 15975, 544] +CellTagsIndexPosition[ 15857, 538] WindowTitle->ToDistribution WindowFrame->Normal*) @@ -79,7 +79,7 @@ ToDistribution.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$272112], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$273137], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToDistribution", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1744104550], + CellID->1231523278], Cell["", "SectionHeaderSpacer"], @@ -199,7 +199,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1249684736], + CellID->1972955354], Cell[CellGroupData[{ @@ -209,7 +209,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2124724330], + CellID->747089580], Cell[CellGroupData[{ @@ -457,7 +457,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ToDistribution", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -469,7 +469,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 26.212225}", + "built" -> "{2020, 6, 20, 19, 11, 59.760196}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -493,8 +493,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -510,36 +509,36 @@ CellTagsIndex->{ Cell[5648, 169, 295, 10, 37, "Output", CellTags->"ToDistribution", CellID->1934939097], - Cell[6638, 215, 351, 11, 27, "Input", + Cell[6637, 215, 351, 11, 27, "Input", CellTags->"ToDistribution", CellID->1094502312], - Cell[6992, 228, 1332, 47, 103, "Output", + Cell[6991, 228, 1332, 47, 103, "Output", CellTags->"ToDistribution"], - Cell[8361, 280, 357, 11, 27, "Input", + Cell[8360, 280, 357, 11, 27, "Input", CellTags->"ToDistribution", CellID->1034527004], - Cell[8721, 293, 1465, 53, 64, "Output", + Cell[8720, 293, 1465, 53, 64, "Output", CellTags->"ToDistribution"], - Cell[10223, 351, 478, 15, 54, "Input", + Cell[10222, 351, 478, 15, 54, "Input", CellTags->"ToDistribution", CellID->941654875], - Cell[10704, 368, 456, 16, 37, "Output", + Cell[10703, 368, 456, 16, 37, "Output", CellTags->"ToDistribution"], - Cell[11197, 389, 427, 14, 27, "Input", + Cell[11196, 389, 427, 14, 27, "Input", CellTags->"ToDistribution", CellID->1539995997], - Cell[11627, 405, 456, 16, 37, "Output", + Cell[11626, 405, 456, 16, 37, "Output", CellTags->"ToDistribution"]}, "PrimaryExamplesSection"->{ Cell[6004, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1249684736]} + CellID->1972955354]} } *) (*CellTagsIndex CellTagsIndex->{ - {"ToDistribution", 14869, 505}, - {"PrimaryExamplesSection", 15767, 532} + {"ToDistribution", 14815, 504}, + {"PrimaryExamplesSection", 15713, 531} } *) (*NotebookFileOutline @@ -553,7 +552,7 @@ Cell[3948, 112, 728, 17, 136, "Usage", Cell[CellGroupData[{ Cell[4701, 133, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1744104550], + CellID->1231523278], Cell[5443, 159, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5499, 163, 146, 4, 70, "Input", @@ -568,47 +567,47 @@ Cell[5648, 169, 295, 10, 37, "Output", Cell[CellGroupData[{ Cell[6004, 186, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1249684736], + CellID->1972955354], Cell[CellGroupData[{ -Cell[6417, 205, 196, 6, 26, "ExampleSection", - CellID->2124724330], +Cell[6417, 205, 195, 6, 26, "ExampleSection", + CellID->747089580], Cell[CellGroupData[{ -Cell[6638, 215, 351, 11, 27, "Input", +Cell[6637, 215, 351, 11, 27, "Input", CellTags->"ToDistribution", CellID->1094502312], -Cell[6992, 228, 1332, 47, 103, "Output", +Cell[6991, 228, 1332, 47, 103, "Output", CellTags->"ToDistribution"] }, Open ]], Cell[CellGroupData[{ -Cell[8361, 280, 357, 11, 27, "Input", +Cell[8360, 280, 357, 11, 27, "Input", CellTags->"ToDistribution", CellID->1034527004], -Cell[8721, 293, 1465, 53, 64, "Output", +Cell[8720, 293, 1465, 53, 64, "Output", CellTags->"ToDistribution"] }, Open ]], Cell[CellGroupData[{ -Cell[10223, 351, 478, 15, 54, "Input", +Cell[10222, 351, 478, 15, 54, "Input", CellTags->"ToDistribution", CellID->941654875], -Cell[10704, 368, 456, 16, 37, "Output", +Cell[10703, 368, 456, 16, 37, "Output", CellTags->"ToDistribution"] }, Open ]], Cell[CellGroupData[{ -Cell[11197, 389, 427, 14, 27, "Input", +Cell[11196, 389, 427, 14, 27, "Input", CellTags->"ToDistribution", CellID->1539995997], -Cell[11627, 405, 456, 16, 37, "Output", +Cell[11626, 405, 456, 16, 37, "Output", CellTags->"ToDistribution"] }, Open ]] }, Open ]], -Cell[12110, 425, 31, 0, 29, "SectionFooterSpacer"] +Cell[12109, 425, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[12178, 430, 270, 12, 31, "SeeAlsoSection", +Cell[12177, 430, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[12451, 444, 211, 7, 56, "SeeAlso"] +Cell[12450, 444, 211, 7, 56, "SeeAlso"] }, Open ]], -Cell[12677, 454, 23, 0, 41, "FooterCell"] +Cell[12676, 454, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToFI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToFI.nb index faaa09a77..4bea50087 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToFI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToFI.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5570, 160] +NotebookDataLength[ 5571, 160] NotebookOptionsPosition[ 3695, 109] -NotebookOutlinePosition[ 5506, 157] -CellTagsIndexPosition[ 5463, 154] +NotebookOutlinePosition[ 5507, 157] +CellTagsIndexPosition[ 5464, 154] WindowTitle->ToFI WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$272548], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$273573], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToFI", ".html"]], None}]}]}, @@ -122,7 +122,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 27.314407}", + "built" -> "{2020, 6, 20, 19, 12, 0.837445}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToHypergeometric.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToHypergeometric.nb index f05602105..4d667b472 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToHypergeometric.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToHypergeometric.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14967, 508] -NotebookOptionsPosition[ 10812, 383] -NotebookOutlinePosition[ 13681, 462] -CellTagsIndexPosition[ 13561, 456] +NotebookDataLength[ 14970, 508] +NotebookOptionsPosition[ 10814, 383] +NotebookOutlinePosition[ 13682, 462] +CellTagsIndexPosition[ 13562, 456] WindowTitle->ToHypergeometric WindowFrame->Normal*) @@ -83,7 +83,7 @@ ToHypergeometric.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$272987], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$274012], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToHypergeometric", ".html"]], None}]}]}, @@ -163,7 +163,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->994477369], + CellID->1194616144], Cell[CellGroupData[{ @@ -173,7 +173,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->835872530], + CellID->1198681463], Cell[CellGroupData[{ @@ -384,7 +384,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"ToHypergeometric", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -396,7 +396,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 28.241229}", + "built" -> "{2020, 6, 20, 19, 12, 1.654664}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -427,36 +427,36 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5067, 150, 387, 15, 31, "PrimaryExamplesSection", + Cell[5067, 150, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->994477369]}, + CellID->1194616144]}, "ToHypergeometric"->{ - Cell[5699, 179, 413, 14, 33, "Input", + Cell[5701, 179, 413, 14, 33, "Input", CellTags->"ToHypergeometric", CellID->1435030479], - Cell[6115, 195, 574, 18, 60, "Output", + Cell[6117, 195, 574, 18, 60, "Output", CellTags->"ToHypergeometric"], - Cell[6726, 218, 504, 17, 33, "Input", + Cell[6728, 218, 504, 17, 33, "Input", CellTags->"ToHypergeometric", CellID->26355220], - Cell[7233, 237, 441, 16, 60, "Output", + Cell[7235, 237, 441, 16, 60, "Output", CellTags->"ToHypergeometric"], - Cell[7711, 258, 412, 14, 33, "Input", + Cell[7713, 258, 412, 14, 33, "Input", CellTags->"ToHypergeometric", CellID->994646256], - Cell[8126, 274, 637, 20, 76, "Output", + Cell[8128, 274, 637, 20, 76, "Output", CellTags->"ToHypergeometric"], - Cell[8800, 299, 506, 17, 33, "Input", + Cell[8802, 299, 506, 17, 33, "Input", CellTags->"ToHypergeometric", CellID->1770257143], - Cell[9309, 318, 516, 18, 76, "Output", + Cell[9311, 318, 516, 18, 76, "Output", CellTags->"ToHypergeometric"]} } *) (*CellTagsIndex CellTagsIndex->{ {"PrimaryExamplesSection", 12709, 428}, - {"ToHypergeometric", 12852, 432} + {"ToHypergeometric", 12853, 432} } *) (*NotebookFileOutline @@ -467,49 +467,49 @@ Cell[3862, 101, 293, 11, 45, "ObjectNameGrid"], Cell[4158, 114, 884, 32, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5067, 150, 387, 15, 31, "PrimaryExamplesSection", +Cell[5067, 150, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->994477369], + CellID->1194616144], Cell[CellGroupData[{ -Cell[5479, 169, 195, 6, 26, "ExampleSection", - CellID->835872530], +Cell[5480, 169, 196, 6, 26, "ExampleSection", + CellID->1198681463], Cell[CellGroupData[{ -Cell[5699, 179, 413, 14, 33, "Input", +Cell[5701, 179, 413, 14, 33, "Input", CellTags->"ToHypergeometric", CellID->1435030479], -Cell[6115, 195, 574, 18, 60, "Output", +Cell[6117, 195, 574, 18, 60, "Output", CellTags->"ToHypergeometric"] }, Open ]], Cell[CellGroupData[{ -Cell[6726, 218, 504, 17, 33, "Input", +Cell[6728, 218, 504, 17, 33, "Input", CellTags->"ToHypergeometric", CellID->26355220], -Cell[7233, 237, 441, 16, 60, "Output", +Cell[7235, 237, 441, 16, 60, "Output", CellTags->"ToHypergeometric"] }, Open ]], Cell[CellGroupData[{ -Cell[7711, 258, 412, 14, 33, "Input", +Cell[7713, 258, 412, 14, 33, "Input", CellTags->"ToHypergeometric", CellID->994646256], -Cell[8126, 274, 637, 20, 76, "Output", +Cell[8128, 274, 637, 20, 76, "Output", CellTags->"ToHypergeometric"] }, Open ]], Cell[CellGroupData[{ -Cell[8800, 299, 506, 17, 33, "Input", +Cell[8802, 299, 506, 17, 33, "Input", CellTags->"ToHypergeometric", CellID->1770257143], -Cell[9309, 318, 516, 18, 76, "Output", +Cell[9311, 318, 516, 18, 76, "Output", CellTags->"ToHypergeometric"] }, Open ]] }, Open ]], -Cell[9852, 340, 31, 0, 70, "SectionFooterSpacer"] +Cell[9854, 340, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9920, 345, 270, 12, 70, "SeeAlsoSection", +Cell[9922, 345, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[10193, 359, 577, 19, 70, "SeeAlso"] +Cell[10195, 359, 577, 19, 70, "SeeAlso"] }, Open ]], -Cell[10785, 381, 23, 0, 70, "FooterCell"] +Cell[10787, 381, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToLarin.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToLarin.nb index 53296fe42..7adcdec73 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToLarin.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToLarin.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13162, 464] -NotebookOptionsPosition[ 9701, 358] -NotebookOutlinePosition[ 12012, 422] -CellTagsIndexPosition[ 11901, 416] +NotebookDataLength[ 13166, 464] +NotebookOptionsPosition[ 9703, 358] +NotebookOutlinePosition[ 12014, 422] +CellTagsIndexPosition[ 11903, 416] WindowTitle->ToLarin WindowFrame->Normal*) @@ -81,7 +81,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$273426], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$274451], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToLarin", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->649489056], + CellID->1803591320], Cell["", "SectionHeaderSpacer"], @@ -208,7 +208,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2091093721], + CellID->2133715156], Cell[CellGroupData[{ @@ -218,7 +218,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->590410759], + CellID->1721993814], Cell[CellGroupData[{ @@ -359,7 +359,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"ToLarin", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -371,7 +371,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 29.319505}", + "built" -> "{2020, 6, 20, 19, 12, 2.645203}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -402,21 +402,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6148, 195, 388, 15, 31, "PrimaryExamplesSection", + Cell[6149, 195, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2091093721]}, + CellID->2133715156]}, "ToLarin"->{ - Cell[6781, 224, 205, 7, 27, "Input", + Cell[6783, 224, 205, 7, 27, "Input", CellTags->"ToLarin", CellID->975355057], - Cell[6989, 233, 650, 27, 40, "Output", + Cell[6991, 233, 650, 27, 40, "Output", CellTags->"ToLarin"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11590, 403}, - {"ToLarin", 11725, 407} + {"PrimaryExamplesSection", 11592, 403}, + {"ToLarin", 11727, 407} } *) (*NotebookFileOutline @@ -428,44 +428,44 @@ Cell[CellGroupData[{ Cell[3986, 114, 879, 26, 95, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4890, 144, 738, 24, 31, "NotesSection", +Cell[4890, 144, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->649489056], -Cell[5631, 170, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1803591320], +Cell[5632, 170, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[5687, 174, 90, 2, 70, "Input"], -Cell[5780, 178, 307, 10, 37, "Output"] +Cell[5688, 174, 90, 2, 70, "Input"], +Cell[5781, 178, 307, 10, 37, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6148, 195, 388, 15, 31, "PrimaryExamplesSection", +Cell[6149, 195, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2091093721], + CellID->2133715156], Cell[CellGroupData[{ -Cell[6561, 214, 195, 6, 26, "ExampleSection", - CellID->590410759], +Cell[6562, 214, 196, 6, 26, "ExampleSection", + CellID->1721993814], Cell[CellGroupData[{ -Cell[6781, 224, 205, 7, 27, "Input", +Cell[6783, 224, 205, 7, 27, "Input", CellTags->"ToLarin", CellID->975355057], -Cell[6989, 233, 650, 27, 40, "Output", +Cell[6991, 233, 650, 27, 40, "Output", CellTags->"ToLarin"] }, Open ]], Cell[CellGroupData[{ -Cell[7676, 265, 83, 2, 27, "Input"], -Cell[7762, 269, 1178, 48, 56, "Output"] +Cell[7678, 265, 83, 2, 27, "Input"], +Cell[7764, 269, 1178, 48, 56, "Output"] }, Open ]] }, Open ]], -Cell[8967, 321, 31, 0, 29, "SectionFooterSpacer"] +Cell[8969, 321, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[9035, 326, 270, 12, 31, "SeeAlsoSection", +Cell[9037, 326, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[9308, 340, 351, 13, 56, "SeeAlso", +Cell[9310, 340, 351, 13, 56, "SeeAlso", CellID->655647701] }, Open ]], -Cell[9674, 356, 23, 0, 41, "FooterCell"] +Cell[9676, 356, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToPaVe.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToPaVe.nb index afba68765..e33dee7ea 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToPaVe.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToPaVe.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23425, 829] -NotebookOptionsPosition[ 19667, 710] -NotebookOutlinePosition[ 21812, 767] -CellTagsIndexPosition[ 21727, 762] +NotebookDataLength[ 23366, 828] +NotebookOptionsPosition[ 19666, 710] +NotebookOutlinePosition[ 21754, 766] +CellTagsIndexPosition[ 21669, 761] WindowTitle->ToPaVe WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$274293], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$275318], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToPaVe", ".html"]], None}]}]}, @@ -131,7 +131,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1179219212], + CellID->260233410], Cell["", "SectionHeaderSpacer"], @@ -180,7 +180,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1570407572], + CellID->684545284], Cell[CellGroupData[{ @@ -190,7 +190,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->921389483], + CellID->1191452541], Cell[CellGroupData[{ @@ -723,7 +723,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 31.551843}", + "built" -> "{2020, 6, 20, 19, 12, 4.655996}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -743,8 +743,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -754,14 +753,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5234, 167, 388, 15, 31, "PrimaryExamplesSection", + Cell[5233, 167, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1570407572]} + CellID->684545284]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 21583, 755} + {"PrimaryExamplesSection", 21526, 754} } *) (*NotebookFileOutline @@ -773,64 +772,64 @@ Cell[CellGroupData[{ Cell[3154, 91, 503, 14, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3682, 109, 739, 24, 31, "NotesSection", +Cell[3682, 109, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1179219212], -Cell[4424, 135, 31, 0, 70, "SectionHeaderSpacer"], + CellID->260233410], +Cell[4423, 135, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4480, 139, 110, 3, 70, "Input", +Cell[4479, 139, 110, 3, 70, "Input", CellID->1519444881], -Cell[4593, 144, 580, 16, 56, "Output", +Cell[4592, 144, 580, 16, 56, "Output", CellID->1645940451] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[5234, 167, 388, 15, 31, "PrimaryExamplesSection", +Cell[5233, 167, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1570407572], + CellID->684545284], Cell[CellGroupData[{ -Cell[5647, 186, 195, 6, 26, "ExampleSection", - CellID->921389483], +Cell[5645, 186, 196, 6, 26, "ExampleSection", + CellID->1191452541], Cell[CellGroupData[{ -Cell[5867, 196, 146, 5, 27, "Input", +Cell[5866, 196, 146, 5, 27, "Input", CellID->28034708], -Cell[6016, 203, 622, 21, 61, "Output", +Cell[6015, 203, 622, 21, 61, "Output", CellID->491799088] }, Open ]], Cell[CellGroupData[{ -Cell[6675, 229, 126, 4, 27, "Input", +Cell[6674, 229, 126, 4, 27, "Input", CellID->1888986121], -Cell[6804, 235, 465, 17, 42, "Output", +Cell[6803, 235, 465, 17, 42, "Output", CellID->325767706] }, Open ]], Cell[CellGroupData[{ -Cell[7306, 257, 249, 9, 27, "Input", +Cell[7305, 257, 249, 9, 27, "Input", CellID->953110084], -Cell[7558, 268, 1491, 49, 64, "Output", +Cell[7557, 268, 1491, 49, 64, "Output", CellID->2075001828] }, Open ]], Cell[CellGroupData[{ -Cell[9086, 322, 125, 4, 27, "Input", +Cell[9085, 322, 125, 4, 27, "Input", CellID->731784057], -Cell[9214, 328, 661, 24, 42, "Output", +Cell[9213, 328, 661, 24, 42, "Output", CellID->218378781] }, Open ]], Cell[CellGroupData[{ -Cell[9912, 357, 511, 18, 27, "Input", +Cell[9911, 357, 511, 18, 27, "Input", CellID->1811741937], -Cell[10426, 377, 3893, 127, 66, "Output", +Cell[10425, 377, 3893, 127, 66, "Output", CellID->1830847816] }, Open ]], Cell[CellGroupData[{ -Cell[14356, 509, 125, 4, 27, "Input", +Cell[14355, 509, 125, 4, 27, "Input", CellID->992313328], -Cell[14484, 515, 5117, 188, 87, "Output", +Cell[14483, 515, 5117, 188, 87, "Output", CellID->627176445] }, Open ]] }, Open ]] }, Open ]], -Cell[19640, 708, 23, 0, 41, "FooterCell"] +Cell[19639, 708, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToPaVe2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToPaVe2.nb index c17ff4ba1..32dc754b5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToPaVe2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToPaVe2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10726, 378] -NotebookOptionsPosition[ 7384, 273] -NotebookOutlinePosition[ 9504, 330] -CellTagsIndexPosition[ 9420, 325] +NotebookDataLength[ 10669, 377] +NotebookOptionsPosition[ 7383, 273] +NotebookOutlinePosition[ 9448, 329] +CellTagsIndexPosition[ 9364, 324] WindowTitle->ToPaVe2 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$273861], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$274886], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToPaVe2", ".html"]], None}]}]}, @@ -118,7 +118,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1007426684], + CellID->454061226], Cell[CellGroupData[{ @@ -128,7 +128,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1487821411], + CellID->1881859209], Cell[CellGroupData[{ @@ -274,7 +274,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"ToPaVe2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -286,7 +286,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 30.420278}", + "built" -> "{2020, 6, 20, 19, 12, 3.635440}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -306,8 +306,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -317,14 +316,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3607, 105, 388, 15, 31, "PrimaryExamplesSection", + Cell[3607, 105, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1007426684]} + CellID->454061226]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9276, 318} + {"PrimaryExamplesSection", 9221, 317} } *) (*NotebookFileOutline @@ -335,51 +334,51 @@ Cell[2851, 76, 284, 11, 45, "ObjectNameGrid"], Cell[3138, 89, 444, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3607, 105, 388, 15, 31, "PrimaryExamplesSection", +Cell[3607, 105, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1007426684], + CellID->454061226], Cell[CellGroupData[{ -Cell[4020, 124, 196, 6, 26, "ExampleSection", - CellID->1487821411], +Cell[4019, 124, 196, 6, 26, "ExampleSection", + CellID->1881859209], Cell[CellGroupData[{ -Cell[4241, 134, 122, 4, 27, "Input", +Cell[4240, 134, 122, 4, 27, "Input", CellID->1548390831], -Cell[4366, 140, 343, 13, 42, "Output", +Cell[4365, 140, 343, 13, 42, "Output", CellID->1548568580] }, Open ]], Cell[CellGroupData[{ -Cell[4746, 158, 102, 3, 27, "Input", +Cell[4745, 158, 102, 3, 27, "Input", CellID->58410193], -Cell[4851, 163, 277, 9, 42, "Output", +Cell[4850, 163, 277, 9, 42, "Output", CellID->87291641] }, Open ]], Cell[CellGroupData[{ -Cell[5165, 177, 130, 4, 27, "Input", +Cell[5164, 177, 130, 4, 27, "Input", CellID->328098477], -Cell[5298, 183, 306, 10, 57, "Output", +Cell[5297, 183, 306, 10, 57, "Output", CellID->1350910498] }, Open ]], Cell[CellGroupData[{ -Cell[5641, 198, 231, 7, 27, "Input", +Cell[5640, 198, 231, 7, 27, "Input", CellID->989488639], -Cell[5875, 207, 411, 15, 42, "Output", +Cell[5874, 207, 411, 15, 42, "Output", CellID->1934662114] }, Open ]], Cell[CellGroupData[{ -Cell[6323, 227, 104, 3, 27, "Input", +Cell[6322, 227, 104, 3, 27, "Input", CellID->1490614159], -Cell[6430, 232, 342, 11, 42, "Output", +Cell[6429, 232, 342, 11, 42, "Output", CellID->289430078] }, Open ]], Cell[CellGroupData[{ -Cell[6809, 248, 131, 4, 27, "Input", +Cell[6808, 248, 131, 4, 27, "Input", CellID->1630168000], -Cell[6943, 254, 375, 12, 57, "Output", +Cell[6942, 254, 375, 12, 57, "Output", CellID->1162089280] }, Open ]] }, Open ]] }, Open ]], -Cell[7357, 271, 23, 0, 70, "FooterCell"] +Cell[7356, 271, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToSFAD.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToSFAD.nb index c04aaa52b..0bb746a02 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToSFAD.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToSFAD.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12984, 442] -NotebookOptionsPosition[ 9503, 335] -NotebookOutlinePosition[ 11654, 392] -CellTagsIndexPosition[ 11569, 387] +NotebookDataLength[ 12988, 442] +NotebookOptionsPosition[ 9504, 335] +NotebookOutlinePosition[ 11657, 392] +CellTagsIndexPosition[ 11572, 387] WindowTitle->ToSFAD WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$274726], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$275751], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToSFAD", ".html"]], None}]}]}, @@ -131,7 +131,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->553737049], + CellID->1214988782], Cell["", "SectionHeaderSpacer"], @@ -172,7 +172,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->380817255], + CellID->1650737741], Cell[CellGroupData[{ @@ -182,7 +182,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->2061686487], + CellID->357511371], Cell[CellGroupData[{ @@ -348,7 +348,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 32.761281}", + "built" -> "{2020, 6, 20, 19, 12, 5.744788}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -379,14 +379,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4937, 159, 387, 15, 31, "PrimaryExamplesSection", + Cell[4938, 159, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->380817255]} + CellID->1650737741]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11426, 380} + {"PrimaryExamplesSection", 11428, 380} } *) (*NotebookFileOutline @@ -398,52 +398,52 @@ Cell[CellGroupData[{ Cell[3154, 91, 539, 14, 119, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3718, 109, 738, 24, 31, "NotesSection", +Cell[3718, 109, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->553737049], -Cell[4459, 135, 31, 0, 70, "SectionHeaderSpacer"], + CellID->1214988782], +Cell[4460, 135, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ -Cell[4515, 139, 110, 3, 70, "Input", +Cell[4516, 139, 110, 3, 70, "Input", CellID->180907155], -Cell[4628, 144, 248, 8, 37, "Output", +Cell[4629, 144, 248, 8, 37, "Output", CellID->1656373949] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[4937, 159, 387, 15, 31, "PrimaryExamplesSection", +Cell[4938, 159, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->380817255], + CellID->1650737741], Cell[CellGroupData[{ -Cell[5349, 178, 196, 6, 26, "ExampleSection", - CellID->2061686487], +Cell[5351, 178, 195, 6, 26, "ExampleSection", + CellID->357511371], Cell[CellGroupData[{ -Cell[5570, 188, 197, 5, 45, "Input", +Cell[5571, 188, 197, 5, 45, "Input", CellID->1857913877], -Cell[5770, 195, 406, 12, 61, "Output", +Cell[5771, 195, 406, 12, 61, "Output", CellID->1578335482], -Cell[6179, 209, 363, 12, 51, "Output", +Cell[6180, 209, 363, 12, 51, "Output", CellID->1388339789] }, Open ]], Cell[CellGroupData[{ -Cell[6579, 226, 245, 7, 45, "Input", +Cell[6580, 226, 245, 7, 45, "Input", CellID->487294439], -Cell[6827, 235, 455, 13, 61, "Output", +Cell[6828, 235, 455, 13, 61, "Output", CellID->1666061286], -Cell[7285, 250, 393, 14, 57, "Output", +Cell[7286, 250, 393, 14, 57, "Output", CellID->904185419] }, Open ]], Cell[CellGroupData[{ -Cell[7715, 269, 285, 9, 45, "Input", +Cell[7716, 269, 285, 9, 45, "Input", CellID->2042326245], -Cell[8003, 280, 758, 22, 61, "Output", +Cell[8004, 280, 758, 22, 61, "Output", CellID->1069233690], -Cell[8764, 304, 673, 24, 57, "Output", +Cell[8765, 304, 673, 24, 57, "Output", CellID->627635075] }, Open ]] }, Open ]] }, Open ]], -Cell[9476, 333, 23, 0, 41, "FooterCell"] +Cell[9477, 333, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToStandardMatrixElement.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToStandardMatrixElement.nb index 479dbbdbd..c1d0507da 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToStandardMatrixElement.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToStandardMatrixElement.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 21604, 635] +NotebookDataLength[ 21605, 635] NotebookOptionsPosition[ 18006, 526] -NotebookOutlinePosition[ 20310, 588] -CellTagsIndexPosition[ 20190, 582] +NotebookOutlinePosition[ 20311, 588] +CellTagsIndexPosition[ 20191, 582] WindowTitle->ToStandardMatrixElement WindowFrame->Normal*) @@ -86,7 +86,7 @@ ToStandardMatrixElement.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$275161], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$276186], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToStandardMatrixElement", ".html"]], None}]}]}, @@ -158,7 +158,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1295997546], + CellID->878543726], Cell["", "SectionHeaderSpacer"], @@ -230,7 +230,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1328592495], + CellID->1350608559], Cell[CellGroupData[{ @@ -240,7 +240,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->418264240], + CellID->1822574546], Cell[CellGroupData[{ @@ -371,92 +371,92 @@ Cell[BoxData[ Cell[BoxData[ GraphicsBox[ TagBox[RasterBox[CompressedData[" -1:eJztnXlYVOUex637R/feeirv1ZYr5MYmKmRaQSqCGiaBFpgKLlfNXJJwV1xL -09zXtDINU9QUy7XELVITBUURAxURVJRh34YBZp97ZtTLDPOedbaj8/08Tz30 -xvuec37v7/w45z0z59N61MTwMU83adJk6t+pf4WPnBk0ZcrIWREvUv/xUczU -8WNjPhndN2baJ2M/meI36m9UYyT1z19PNWmi/1kHAAAAPHbI75+I27w7MTnz -fr3W0fsCAAGkqNiov7E4bFxajU5XnRwV9nWewtH74wA0FqWi/PbW0R9vz5Nb -a28AMAMp6iBsVx7rMmO7Dj4n1emqTvXtujTHSSZHlf9jxKg/q3Q6WXpMwPBz -1YIH0hQfCPPo/vm6ZZMHBn60Mr0GlxPAOiBFxYDtyqNTFl5tWWJEyE8StU6e -vciv994ijeCRpCkDvYISy7Q6bcWJcM+gny0Yyu5oVTgHRYuzpKhamp8jVTt6 -L2ixe+FVFCTF77sm439mkjtqaq4lxn01OeabXNNd19blxMf09Gj+XNPW3SZs -u1nXuFt1+s+7kktVTC1CkKV9GrwkW65TF8QH+i25aUE4pecHeAYdL6d+Uuat -83trWQ79zYiVQ8oKXcypqCskZzdPfq/LB2erGvcREHB7H5e4QIoK76gsPb32 -/Zdf6n26cRraA24TZ9/Cqyo6OGn4ZrPzlR2GjtqKpHDXttFXak02fm31xI0p -xQpledrGfq+84LvcPCnqstYOnXWyXM3UwhfqIsL/3SNlWkXupiDvYalSCy4B -1JJdwV2mZVBHVX9tfsCwU5U0uWeLkLJCjDnVLC+5L7k42e3V4DOEjOcXcIcc -l8hAigqeSsWtFR1bOKbw6jhNnD0Lr6YscajfhFQp76GYO8oujW7rbloElEV/ -nCx8WGprr0S3aRF21nwpi6oeQ98en1ytZWjhh1ryU5BXj55DJy1YsaZ/5/4r -D95ufKVtwkwShYWFD/93/a24CSPmfbdj86IF++8ryUPYKKSsEGL+EOrE9m5B -LLx8Au6o4xIZSFGhU6m4tdKBhZfDxHErvOriw2M/u8AvBGYjU3PewyvyfONR -tLKbSWkVap22NmvNB96tPDuHLmq0Tk/T8RGPioC6Iml2936ztiddrTC+qK+5 -OLKd/3d3CWmhrTjxvlfosXItQ4sp9Xm7ogNaNn3tvVXX6vS/XpOxds7m3PpH -vcuODui18TZNAvIaiiO2Cikr9DFnKLzcA+6Y49LUZO6eHd6tR+yqaUODX3dt -7Td+1x3qhNBKL62dvjI+4Yc5YQFLs3lcmmjr8o4ujQoMGLN5+7efj3ynhVfU -3rOH41ZMHdChRefpV2SchkCKkgalmSkq++4cWDx/fdyPW9ZM78N7qcEK89Uw -FtvEcSy897e/G5pUyWvTZiPXpA52e2N9numka8pPzVt0mfot1b1tYf2+zqrV -VKfOX5JpcilF7NiAoQhMSMk8sHr9MUnjFQVt5ZlPe009W0XM0/rr83zaT7la -x9RihDx/75azpYrq1Lm+bpHUkakKdoQGfnXdOKn9Z/xF7stvKK7YKqSs0Mec -qfByDrijjktbfrT7S60/01+XqAoSIl5t3nNPoVqaEtkp8kiZRn8fdaSA1z1h -XeZML5fQn+5SESo/HvRyy9GHi1TUyfTjm66B+odSHECKkoclzpTsSqx/H/1z -QypKWbM8XuV9xct5vpSlFw98v37PPfpVbbaJs2PhrTwV5PpmfIHJ+pQyb+P7 -o1OoX1Le3hQxN10feer2Je6WyfSSOhpBFYHWzdp39gjZfq/xcwdN5bklk3+4 -QXc3pchd3cktKrWGqcVkOKVhRUx1Ly7gnXW5ZSkz+s5OlQq76bPOUDYKqUqy -d1SfHo0IiU5u+PNFH3PGwss14A47rqpTgf/xWfvgU5XS84NcW318SaYu/W1E -2xdb9pm+M6Oa34qoIme5z2uhx/UXObLL493dx1+WGa58+rXqtJbjHwekKM24 -hJkqSR/n0X5WlmEUQUsNPOZLljbmjf5Hae872CeOsfA2JKq/V9N/+3Y1T1QG -zEaWngtv0/mbOyYHUJkU8uaMzDqd6u7WiBnp+sOsvrDmq3TT+wtSR+MYUFdf -bYdtjX3LtfvyzFqja/u6nF3LfshgyBX5jYU+7UxWKs1bSNSkjugxNeHLyIUX -BOa0tYayVUhZoYs5S+HlGnCHHZfx6Sy7PMajw3z9JZ5GVXkxbmJPlxfcRhwu -4f5gS3ln4xuuvQ+WaPQnwwyvNsP1tUZX9eegNh0XGZYstNKr2zb9cuyXJQOm -XKIppEhRmnEJM1WS8pFLq1FphjUBIYWXdb4aqL/+uX/I/mKGv8NsE2fHK15F -7qrO7T8zzZiai6Pc243fmXJ+S0j/HedTDm+YGDEmoaDRRRSpoxEPbnvTK/K+ -C3ZpF32y/EE0FPcOrfn+QpXhPzRVmQcSzVYh9B9EjPTsukuiZmhRV178eX96 -lenZVntlYnvvXkuv1vJKRGsNZTSOrULKCjnmeuTZX9IXXg4Bp909uxyX/nTu -uPKWPlWUtzd066b/3FX1lS8O67dD3RZ39RxidqmpKEpNTLopMz8HVfe2vu3S -fXeh2nDOdWgVbnjsX5M60q1dbJb+hlNTcug9/wUXpIrqG6V0KxhIUZpNEGZK -LdkV+JLrsEPFan31me3xcg/DZ90aIXy+DMcV/+32A/u2TA9xDzTLWhPYJs6O -hVcnv7nYr2ujx1zqst8X9vdu9szTTz/zwmtdIub9kkf4yjep40M0shu/LerS -tFnghtN5RSmzPZ9t6j95W7JEcmS85z+eavKQp/7ps+KWed2VZy/267UlX8XU -UnV2mKfnsDOm1/i1GbEfrMjitFJmhLWGMh7HFiFlhRzzYqV+6SsjcVnAv551 -n5qQkltrlttcAk6/ezY/Lp3hdG7+SsiMpes2rPli4ty9hic2VX+Gefedu3X/ -vriFUzdlNS4/8ptLujz/D4/YLNPFT2VJ2p4Yj+ddovZcr8hP3jLE5bmWo/ff -Kss+viq4+YudVicbnkUq7sUPcW/eccxeCd3+IkXpppI0Uzr57R1j/Fq7dY+c -OGfOyLffCY/debXx5+UsmC95zvqI4QeK1Dpl3vquAZvNs9Z4M2wTZ8/Cq9NU -npn54bJMszmUpU8J28i06EXX0RK00gtzwr+8bPQo1byFiKowYcSHe2gXn/hg -+VCiCikzvALuoOMyvoHljFpyaObufL61XiPNPlOs0JQdH/V62IkKYs4hRemn -UtBMPUDYfFF/gId2+a++oKkL4nt1Y9w0h4mz9zfX5PmH137/R5HJUddf+6J3 -9CWWj2uQOlqAPP/IhnXHC5VMLUQ0pb8OcutiwQcCrD6UWELKtjG+AXfEcRlO -59W5fE5nVckfe38nrGOxoC0/GRU8L+HYwbjlO7OJT3+RokxTKWCmHiBwvnSK -nGWdffWP7tSFCX38F96gL5WcJs4B72rQKsrKFUZ/C6rPjfUN/rWUfQWpUUdL -0NQXV5oOZd5C3ofyY307RiQUWvi9TWsPJYKQMiMs4PY9LrX0akJM22eb9V55 -5Gq1w7/ljxQldjTgiJnSSi/O8GvTbezSDQve7Tls4wXaT7hwmzi8JAcAAOyM -7cpjfdbcIMMHMqpO9wsiPdsCAADnBOURAAAAAAAAAAAAAAAAAAAAAPAkoy7a -F9qhnY+vr6+Pp4v3dG4v+gPAzkD+LjYgf7fErK2tvXv6juGtAeqCPUPmZgh+ -KQwADED+7iAgf7cuVjNrP4Kqu1Gx6fxejg8APZC/iwF8r82qWM+s/RCq7kZO -S6N5latYgfxdxED+Lgogf6dtEYL1zNoPoOru4ElsKjzI363VUUyIP0UhfycC -+ftjLX83oJYkDIo+z3gzCPm7tTqKD5GnKOTvdED+rhOz/F3HJtem6u7AcWYX -j8ZA/m6tjqJE7CkK+TsNkL9D/g75O1cgf+czFEcgfye3QP4Os7YAIH/nBOTv -kL/TtED+DrO2GZC/63+G/F3EKQr5Oy2Qv3NBnGZtViB/5wDk7zrI3+laIH+H -WVsAkL83bBLyd6ZxIH8nt0D+DrM2XyB/N9kg5O+M40D+TmyB/B1mbTsB+bsJ -kL9D/g75O7GFiFOYtW0A5O+mQP4O+Tvk78QW8j48+WZtmwD5O1+QosSOBiB/ -Z8ApX5IDAADsQP4OAAB2BuURAAAAAAAAAAAAAAAAAAAAAPAEAHc2EC/qon2h -Hdr5+Pr6+ni6eE/n9rZJYGugd4c7G4gdC1JUW3v39B3DqyvUBXuGzM0Q/GYi -pwR6d+sCdzYQOVZL0UdQdTcqNp2focHpwTfXrIqzuLOZgd5dxFgvRR9C1d3I -aWk07xN2HNC7Q+8uBPG6s6F3twviT9EHUHV38CQ2HyP07tC7//9X4M6G3l3c -iDxFDaglCYOizzOuV0DvDr27MXBnQ+8ucsSeooa6O3Cc2f2NMdC7E1ugd4c7 -WwDQu3MAencd9O50LdC7w50tAOjdOQG9O/TuNC3Qu8OdbQb07vqfoXcXcYpC -704L9O5cEKc7mxXo3TkAvbsOene6Fujd4c4WAPTuDZuE3p1pHOjdyS3Qu8Od -zRfo3U02CL074zjQuxNboHeHO9tOQO9uAvTu0LtD705sIeIU7mwbAL27KdC7 -Q+8OvTuxhbwPT7472yZA784XpCixowHo3RlwypfkAAAAO9C7AwCAnUF5BAAA -AAAAAAAAAAAAAAAAAAA83sCdDUQOUlSUQO8OdzYQO0hRBwG9u3WBOxuIHKSo -GMA316yKs7izmYHeXcQ4S4pC7w69u3DE6M6G3t0uIEWFd4TeHXp3ixCpOxt6 -d/uAFIXeXcDGoXd/Ut3Z0LvbCaSok+vdhQC9OyPidWdzAXp3DkDvroPena7F -joUXenfOQ3EFenfo3U1wmhR1Er27EKB3Z0LU7mzo3fU/Q+8u4hR9svXuFgG9 -OxfE6c5mBXp3DkDvroPena7FjoUXevfHxp3NCvTuDZuE3p1pHOjdyS32/FQD -9O6PizubGejdTTYIvTvjONC7E1vs+jleUbnI4c6G3t0M6N2tPxT07qQW6N3p -W4g4hTvbBkDvbgr07tC7Q+9ObCHvw5PvzrYJ0LvzBSlK7GgAencGnPIlOQAA -wA707gAAYGdQHgEA4PHhfwEGIAc= +1:eJztnXlYVOUex637R7dbT+W92nKF3BAQFTKtIBVBDZNAC0wFl6tmLkm4K66l +ae5rWpmGKWqKuZe4RWqioChioCKCijLs2zDADLPdM6PGLO9ZZzs638/z1ENv +vO855/f+zo9z3jNzPi1HTggb/XSjRo2m/JP6V9iIGYGTJ4+YGf4S9R8fR08Z +Nyb601F9oqd+OubTyb4j/0E1RlD//PVUo0a6n7UAAADAY4f8/onYTbsSkjLu +12kcvS8AEECKio26G4tCx6ZWa7VVSZGh3+QqHL0/DkBtUSrKb28Z9cm2XLm1 +9gYAM5CiDsJ25bE2I6bLoHNSrbbyVJ8uS7KdZHKUeT+Fj/yzUquVpUX7DztX +JXggddGBUPduX6xdOmlAwMcr0qpxOQGsA1JUDNiuPDpl4dWUJoQH/yxRaeVZ +C3177SlUCx5JmjzAMzChVKPVlJ8I8wj8xYKh7I5GiXNQtDhLiqqkedlSlaP3 +gha7F15FfmLc/usy/mcmuaO6+lpC7NeTor/NMd51TW12XHQP96bPN27ZdfzW +m7Wm3arS9u5MKlEytQhBlvpZ0OIsuVaVHxfgu/imBeGUnu/vEXi8jPqpPnet +79tLs+lvRqwcUlboYk5FXSE5u2nS+50/PFtp2kdAwO19XOICKSq8Y33J6TUf +vPJyr9OmaWgPuE2cfQuvsvDgxGGbzM5Xdhg6asoTw1xbR12pMdr4tVUTNiQX +KerLUjf0ffVFn2XmSVGbuWbIzJNlKqYWvlAXEX7vHSnVKHI2BnoNTZFacAmg +kuwM6jw1nTqqumvz/IeeqqDJPVuElBVizKlmefF9ycVJbq8FnSFkPL+AO+S4 +RAZSVPBUKm4t79DMMYVXy2ni7Fl41aUJQ3zHp0h5D8XcUXZpVOs2xkWgvvCP +kwUPS23NlahWzULPmi9lUdVjyDvjkqo0DC38UEl+DvTs3mPIxPnLV/fr1G/F +wdumV9pGzCBRUFDw8H/X3YodP3zu99s3LZy//349eQgbhZQVQswfQp3YXs2I +hZdPwB11XCIDKSp0KhW3Vjiw8HKYOG6FV1V0eMznF/iFwGxkas67e0acNx1F +I7uZmFqu0mpqMld/6NXCo1PIQpN1epqOj3hUBFTlibO69Z25LfFqueFFffXF +EW39vr9LSAtN+YkPPEOOlWkYWoypy90Z5d+88evvr7xWq/v16vQ1szfl1D3q +XXq0f88Nt2kSkNdQHLFVSFmhjzlD4eUecMccl7o6Y9essK7dY1ZOHRL0hmtL +33E771AnhEZ6ac20FXHxP84O9V+SxePSRFObe3RJZID/6E3bvvtixLvNPCP3 +nD0cu3xK//bNOk27IuM0BFKUNCjNTFHZd+fAonnrYn/avHpab95LDVaYr4ax +2CaOY+G9v+29kMQKXps2G7k6ZZDbm+tyjSddXXZq7sLL1G8p720N7ftNZo26 +KmXe4gyjSylixwb0RWB8csaBVeuOSUxXFDQVZz7rOeVsJTFP667P9W43+Wot +U4sB8rw9m8+WKKpS5vi4RVBHpszfHhLw9XXDpPab/he5L7+huGKrkLJCH3Om +wss54I46Lk3Z0W4vt/xcd12izI8Pf61pj90FKmlyRMeII6Vq3X3UkXxe94S1 +GTM8XUJ+vktFqOx44CvNRx0uVFIn009vuQboHkpxAClKHpY4U7IrMX69dc8N +qShlznR/jfcVL+f5qi+5eOCHdbvv0a9qs02cHQtvxalA17fi8o3Wp+pzN3ww +Kpn6pfrbG8PnpOkiT92+xN4yml5SRwOoItCySbtO7sHb7pk+d1BXnls86ccb +dHdTipxVHd0iU6qZWoyGq9eviCnvxfq/uzanNHl6n1kpUmE3fdYZykYhVUr2 +jOzd3YTgqKSGP1/0MWcsvFwD7rDjqjwV8F/vNQ8+VSk9P9C1xSeXZKqS34a3 +fql572k70qv4rYgqspd5vx5yXHeRI7s8rk2bcZdl+iufvi06ruH4xwEpSjMu +YaaK08a6t5uZqR9F0FIDj/mSpY5+s99R2vsO9oljLLwNiern2fg/Pl3ME5UB +s5Gl58Jadfr2jtEBVCQGvzU9o1arvLslfHqa7jCrLqz+Os34/oLU0TAG1NVX +66FbYt527bYso8bg2r42e+fSH9MZckV+Y4F3W6OVSvMWEtUpw7tPif8qYsEF +gTltraFsFVJW6GLOUni5Btxhx2V4Ossuj3ZvP093iadWVlyMndDD5UW34YeL +uT/Yqr+z4U3XXgeL1bqTYbpnq2G6WqOt/HNgqw4L9UsWGunVrRv3Htu7uP/k +SzSFFClKMy5hpoqTP3ZpMTJVvyYgpPCyzlcDdde/8AveX8Twd5ht4ux4xavI +Wdmp3efGGVN9cWSbtuN2JJ/fHNxv+/nkw+snhI+Ozze5iCJ1NODBbW9aee73 +QS5to06WPYiG4t6h1T9cqNT/h7oy40CC2SqE7oOIER5ddkpUDC2qiou/7E+r +ND7baq5MaOfVc8nVGl6JaK2hDMaxVUhZIcdchzzrK/rCyyHgtLtnl+PSnc4d +VtzSpUr97fVdu+o+d1V15cvDuu1Qt8VdPAabXWoqClMSEm/KzM9B5b0t77h0 +21Wg0p9z7VuE6R/7V6eMcGsbk6m74VQXH3rfb/4FqaLqRgndCgZSlGYThJlS +SXYGvOw69FCRSld9Zrm/0l3/WTcThM+X/rjivtt2YN/macFtAsyy1gi2ibNj +4dXKby7y7WLymEtV+vuCfl5Nnnn66WdefL1z+Ny9uYSvfJM6PkQtu/Hbws6N +mwSsP51bmDzL47nGfpO2JkkkR8Z5PPtUo4c89S/v5bfM6648a5Fvz815SqaW +yrNDPTyGnjG+xq9Jj/lweSanlTIDrDWU4Ti2CCkr5JgX1euWvtITlvr/+7k2 +U+KTc2rMcptLwOl3z+bHpdWfzk1fDZ6+ZO361V9OmLNH/8Sm8s9Qrz5ztuzf +F7tgysZM0/Ijv7m48wvPusdkGi9+1hen7o52f8Elcvf18rykzYNdnm8+av+t +0qzjK4OavtRxVZL+WaTiXtzgNk07jN4jodtfpCjdVJJmSiu/vX20b0u3bhET +Zs8e8c67YTE7rpp+Xs6C+ZJnrwsfdqBQpa3PXdfFf5N51hpuhm3i7Fl4teqK +MzM+WpphNoeytMmhG5gWveg6WoJGemF22FeXDR6lmrcQURbED/9oN+3iEx8s +H0pUIWWGV8AddFyGN7CcUUkOzdiVx7fWq6VZZ4oU6tLjI98IPVFOzDmkKP1U +CpqpBwibL+oP8JDO/9MVNFV+XM+ujJvmMHH2/uaaPO/wmh/+KDQ66rprX/aK +usTycQ1SRwuQ5x1Zv/Z4QT1TCxF1ya8D3Tpb8IEAqw8llpCybYxvwB1xXPrT +eVUOn9NZWfzHnt8J61gsaMpORgbNjT92MHbZjizi01+kKNNUCpipBwicL60i +e2knH92jO1VBfG+/BTfoSyWniXPAuxo0itIyhcHfgqpzY3yCfi1hX0Ey6WgJ +6rqiCuOhzFvI+1B2rE+H8PgCC7+3ae2hRBBSZoQF3L7HpZJejY9u/VyTXiuO +XK1y+Lf8kaLEjnocMVMa6cXpvq26jlmyfv57PYZuuED7CRduE4eX5AAAgJ2x +XXmsy5wTqP9ARuXpvoGkZ1sAAOCcoDwCAAAAAAAAAAAAAAAAAAAAAJ5kVIX7 +Qtq39fbx8fH2cPGaxu1FfwDYGcjfxQbk75aYtTU1d0/f0b81QJW/e/CcdMEv +hQGAAcjfHQTk79bFambtR1B1NzImjd/L8QGgB/J3MYDvtVkV65m1H0LV3Yip +qTSvchUrkL+LGMjfRQHk77QtQrCeWfsBVN0dNJFNhQf5u7U6ignxpyjk70Qg +f3+s5e96VJL4gVHnGW8GIX+3VkfxIfIUhfydDsjftWKWv2vZ5NpU3R0w1uzi +0RDI363VUZSIPUUhf6cB8nfI3yF/5wrk73yG4gjk7+QWyN9h1hYA5O+cgPwd +8neaFsjfYdY2A/J33c+Qv4s4RSF/pwXydy6I06zNCuTvHID8XQv5O10L5O8w +awsA8veGTUL+zjQO5O/kFsjfYdbmC+TvRhuE/J1xHMjfiS2Qv8OsbScgfzcC +8nfI3yF/J7YQcQqztg2A/N0YyN8hf4f8ndhC3ocn36xtEyB/5wtSlNhRD+Tv +DDjlS3IAAIAdyN8BAMDOoDwCAAAAAAAAAAAAAAAAAAAAAJ4A4M4G4kVVuC+k +fVtvHx8fbw8Xr2nc3jYJbA307nBnA7FjQYpqau6evqN/dYUqf/fgOemC30zk +lEDvbl3gzgYix2op+giq7kbGpPEzNDg9+OaaVXEWdzYz0LuLGOul6EOouhsx +NZXmfcKOA3p36N2FIF53NvTudkH8KfoAqu4OmsjmY4TeHXr3v38F7mzo3cWN +yFNUj0oSPzDqPON6BfTu0LsbAnc29O4iR+wpqq+7A8aa3d8YAr07sQV6d7iz +BQC9Owegd9dC707XAr073NkCgN6dE9C7Q+9O0wK9O9zZZkDvrvsZencRpyj0 +7rRA784FcbqzWYHenQPQu2uhd6drgd4d7mwBQO/esEno3ZnGgd6d3AK9O9zZ +fIHe3WiD0LszjgO9O7EFene4s+0E9O5GQO8OvTv07sQWIk7hzrYB0LsbA707 +9O7QuxNbyPvw5LuzbQL07nxBihI76oHenQGnfEkOAACwA707AADYGZRHAAAA +AAAAAAAAAAAAAAAAAMDjDdzZQOQgRUUJ9O5wZwOxgxR1ENC7Wxe4s4HIQYqK +AXxzzao4izubGejdRYyzpCj07tC7C0eM7mzo3e0CUlR4R+jdoXe3CJG6s6F3 +tw9IUejdBWwcevcn1Z0NvbudQIo6ud5dCNC7MyJedzYXoHfnAPTuWujd6Vrs +WHihd+c8FFegd4fe3QinSVEn0bsLAXp3JkTtzobeXfcz9O4iTtEnW+9uEdC7 +c0Gc7mxWoHfnAPTuWujd6VrsWHihd39s3NmsQO/esEno3ZnGgd6d3GLPTzVA +7/64uLOZgd7daIPQuzOOA707scWun+MVlYsc7mzo3c2A3t36Q0HvTmqB3p2+ +hYhTuLNtAPTuxkDvDr079O7EFvI+PPnubJsAvTtfkKLEjnqgd2fAKV+SAwAA +7EDvDgAAdgblEQAAHh/+D4IuIGs= "], {{0, 89}, {467, 0}}, {0, 255}, ColorFunction->RGBColor], BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], @@ -470,7 +470,7 @@ wA707gAAYGdQHgEA4PHhfwEGIAc= ImageRegion->{{0, 1}, {0, 1}}, CellTags->"RasterizedOutput", CellLabel->"Out[2]=", - CellID->527411267] + CellID->130101576] }, Open ]] }, Open ]], @@ -539,7 +539,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 34.127295}", + "built" -> "{2020, 6, 20, 19, 12, 6.873670}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -570,19 +570,19 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[7368, 217, 388, 15, 31, "PrimaryExamplesSection", + Cell[7367, 217, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1328592495]}, + CellID->1350608559]}, "RasterizedOutput"->{ Cell[11131, 370, 5739, 102, 110, "Output", CellTags->"RasterizedOutput", - CellID->527411267]} + CellID->130101576]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 19921, 571}, - {"RasterizedOutput", 20065, 575} + {"PrimaryExamplesSection", 19922, 571}, + {"RasterizedOutput", 20066, 575} } *) (*NotebookFileOutline @@ -594,26 +594,26 @@ Cell[CellGroupData[{ Cell[4310, 119, 461, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4796, 136, 739, 24, 31, "NotesSection", +Cell[4796, 136, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1295997546], -Cell[5538, 162, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5572, 164, 412, 11, 70, "Notes", + CellID->878543726], +Cell[5537, 162, 31, 0, 14, "SectionHeaderSpacer"], +Cell[5571, 164, 412, 11, 67, "Notes", CellID->244417769], Cell[CellGroupData[{ -Cell[6009, 179, 126, 3, 70, "Input", +Cell[6008, 179, 126, 3, 27, "Input", CellID->1473107891], -Cell[6138, 184, 1169, 26, 112, "Output"] +Cell[6137, 184, 1169, 26, 112, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[7368, 217, 388, 15, 31, "PrimaryExamplesSection", +Cell[7367, 217, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1328592495], + CellID->1350608559], Cell[CellGroupData[{ -Cell[7781, 236, 195, 6, 26, "ExampleSection", - CellID->418264240], +Cell[7780, 236, 196, 6, 26, "ExampleSection", + CellID->1822574546], Cell[CellGroupData[{ Cell[8001, 246, 905, 29, 64, "Input", CellID->779626914], @@ -625,7 +625,7 @@ Cell[11009, 365, 119, 3, 27, "Input", CellID->626624448], Cell[11131, 370, 5739, 102, 110, "Output", CellTags->"RasterizedOutput", - CellID->527411267] + CellID->130101576] }, Open ]] }, Open ]], Cell[16897, 476, 31, 0, 29, "SectionFooterSpacer"] diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToTFI.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToTFI.nb index 09ba83f4a..11f00e58d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToTFI.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ToTFI.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19373, 667] +NotebookDataLength[ 19374, 667] NotebookOptionsPosition[ 15340, 541] -NotebookOutlinePosition[ 18169, 621] -CellTagsIndexPosition[ 18060, 615] +NotebookOutlinePosition[ 18170, 621] +CellTagsIndexPosition[ 18061, 615] WindowTitle->ToTFI WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$275602], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$276627], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ToTFI", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1789794839], + CellID->1066249616], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1139115897], + CellID->1612126797], Cell[CellGroupData[{ @@ -554,7 +554,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 35.242673}", + "built" -> "{2020, 6, 20, 19, 12, 7.964484}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -588,7 +588,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[4528, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1789794839]}, + CellID->1066249616]}, "ToTFI"->{ Cell[5162, 160, 350, 12, 27, "Input", CellTags->"ToTFI", @@ -614,8 +614,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17302, 587}, - {"ToTFI", 17435, 591} + {"PrimaryExamplesSection", 17303, 587}, + {"ToTFI", 17436, 591} } *) (*NotebookFileOutline @@ -628,10 +628,10 @@ Cell[3853, 110, 650, 17, 118, "Usage", Cell[CellGroupData[{ Cell[4528, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1789794839], + CellID->1066249616], Cell[CellGroupData[{ Cell[4941, 150, 196, 6, 26, "ExampleSection", - CellID->1139115897], + CellID->1612126797], Cell[CellGroupData[{ Cell[5162, 160, 350, 12, 27, "Input", CellTags->"ToTFI", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tr2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tr2.nb index a5d080628..b5ebfaf7c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tr2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Tr2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10161, 326] +NotebookDataLength[ 10102, 325] NotebookOptionsPosition[ 7235, 240] -NotebookOutlinePosition[ 9534, 302] -CellTagsIndexPosition[ 9469, 297] +NotebookOutlinePosition[ 9475, 301] +CellTagsIndexPosition[ 9410, 296] WindowTitle->Tr2 WindowFrame->Normal*) @@ -85,7 +85,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$276042], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$277067], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Tr2", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1912467664], + CellID->1992703406], Cell["", "SectionHeaderSpacer"], @@ -241,7 +241,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"Tr2", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -253,7 +253,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 36.343107}", + "built" -> "{2020, 6, 20, 19, 12, 9.051182}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -275,8 +275,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -296,7 +295,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"Tr2", 9278, 287} + {"Tr2", 9219, 286} } *) (*NotebookFileOutline @@ -310,7 +309,7 @@ Cell[4215, 118, 613, 15, 119, "Usage", Cell[CellGroupData[{ Cell[4853, 137, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1912467664], + CellID->1992703406], Cell[5595, 163, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5651, 167, 123, 4, 70, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TraceDimension.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TraceDimension.nb index 841c13d1a..ec1166191 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TraceDimension.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TraceDimension.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6893, 208] +NotebookDataLength[ 6894, 208] NotebookOptionsPosition[ 4851, 151] -NotebookOutlinePosition[ 6686, 200] -CellTagsIndexPosition[ 6643, 197] +NotebookOutlinePosition[ 6687, 200] +CellTagsIndexPosition[ 6644, 197] WindowTitle->TraceDimension WindowFrame->Normal*) @@ -79,7 +79,7 @@ TraceDimension.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$276479], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$277504], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TraceDimension", ".html"]], None}]}]}, @@ -164,7 +164,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 37.416275}", + "built" -> "{2020, 6, 20, 19, 12, 9.963611}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TraceOfOne.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TraceOfOne.nb index f2d36c0ef..a5764c88c 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TraceOfOne.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TraceOfOne.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10213, 348] -NotebookOptionsPosition[ 7161, 257] -NotebookOutlinePosition[ 9269, 314] -CellTagsIndexPosition[ 9185, 309] +NotebookDataLength[ 10157, 347] +NotebookOptionsPosition[ 7160, 257] +NotebookOutlinePosition[ 9214, 313] +CellTagsIndexPosition[ 9130, 308] WindowTitle->TraceOfOne WindowFrame->Normal*) @@ -81,7 +81,7 @@ TraceOfOne.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$276922], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$277947], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TraceOfOne", ".html"]], None}]}]}, @@ -141,7 +141,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2002840320], + CellID->371618353], Cell[CellGroupData[{ @@ -151,7 +151,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1104752518], + CellID->1869468264], Cell[CellGroupData[{ @@ -258,7 +258,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TraceOfOne", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -270,7 +270,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 38.370305}", + "built" -> "{2020, 6, 20, 19, 12, 10.759655}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -290,8 +290,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -301,14 +300,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4421, 128, 388, 15, 31, "PrimaryExamplesSection", + Cell[4421, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2002840320]} + CellID->371618353]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9041, 302} + {"PrimaryExamplesSection", 8987, 301} } *) (*NotebookFileOutline @@ -319,37 +318,37 @@ Cell[3704, 99, 287, 11, 45, "ObjectNameGrid"], Cell[3994, 112, 402, 12, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4421, 128, 388, 15, 31, "PrimaryExamplesSection", +Cell[4421, 128, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2002840320], + CellID->371618353], Cell[CellGroupData[{ -Cell[4834, 147, 196, 6, 26, "ExampleSection", - CellID->1104752518], +Cell[4833, 147, 196, 6, 26, "ExampleSection", + CellID->1869468264], Cell[CellGroupData[{ -Cell[5055, 157, 86, 2, 27, "Input"], -Cell[5144, 161, 229, 8, 37, "Output"] +Cell[5054, 157, 86, 2, 27, "Input"], +Cell[5143, 161, 229, 8, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[5410, 174, 89, 2, 27, "Input"], -Cell[5502, 178, 166, 5, 35, "Output"] +Cell[5409, 174, 89, 2, 27, "Input"], +Cell[5501, 178, 166, 5, 35, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[5705, 188, 150, 4, 27, "Input"], -Cell[5858, 194, 229, 8, 37, "Output"] +Cell[5704, 188, 150, 4, 27, "Input"], +Cell[5857, 194, 229, 8, 37, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[6124, 207, 89, 2, 27, "Input"], -Cell[6216, 211, 168, 5, 35, "Output"] +Cell[6123, 207, 89, 2, 27, "Input"], +Cell[6215, 211, 168, 5, 35, "Output"] }, Open ]] }, Open ]], -Cell[6411, 220, 31, 0, 29, "SectionFooterSpacer"] +Cell[6410, 220, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6479, 225, 270, 12, 31, "SeeAlsoSection", +Cell[6478, 225, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6752, 239, 367, 13, 56, "SeeAlso"] +Cell[6751, 239, 367, 13, 56, "SeeAlso"] }, Open ]], -Cell[7134, 255, 23, 0, 41, "FooterCell"] +Cell[7133, 255, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Trick.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Trick.nb index 444f028f1..ef696ab9d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Trick.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Trick.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 16420, 598] -NotebookOptionsPosition[ 12097, 460] -NotebookOutlinePosition[ 15006, 544] -CellTagsIndexPosition[ 14897, 538] +NotebookDataLength[ 16363, 597] +NotebookOptionsPosition[ 12096, 460] +NotebookOutlinePosition[ 14949, 543] +CellTagsIndexPosition[ 14840, 537] WindowTitle->Trick WindowFrame->Normal*) @@ -86,7 +86,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$278225], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$279250], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Trick", ".html"]], None}]}]}, @@ -147,7 +147,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1172406000], + CellID->168410604], Cell[CellGroupData[{ @@ -157,7 +157,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->558656035], + CellID->779544195], Cell[TextData[{ "This calculates ", @@ -460,8 +460,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Trick", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -473,7 +473,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 41.642366}", + "built" -> "{2020, 6, 20, 19, 12, 13.768427}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -493,8 +493,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -504,41 +503,41 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4715, 134, 388, 15, 31, "PrimaryExamplesSection", + Cell[4715, 134, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1172406000]}, + CellID->168410604]}, "Trick"->{ - Cell[5685, 178, 368, 12, 27, "Input", + Cell[5684, 178, 368, 12, 27, "Input", CellTags->"Trick", CellID->1470455200], - Cell[6056, 192, 374, 14, 37, "Output", + Cell[6055, 192, 374, 14, 37, "Output", CellTags->"Trick"], - Cell[6467, 211, 348, 12, 27, "Input", + Cell[6466, 211, 348, 12, 27, "Input", CellTags->"Trick", CellID->1607408478], - Cell[6818, 225, 1369, 58, 37, "Output", + Cell[6817, 225, 1369, 58, 37, "Output", CellTags->"Trick"], - Cell[8224, 288, 122, 4, 27, "Input", + Cell[8223, 288, 122, 4, 27, "Input", CellTags->"Trick", CellID->1357228781], - Cell[8349, 294, 1206, 52, 39, "Output", + Cell[8348, 294, 1206, 52, 39, "Output", CellTags->"Trick"], - Cell[9592, 351, 244, 7, 27, "Input", + Cell[9591, 351, 244, 7, 27, "Input", CellTags->"Trick", CellID->542077909], - Cell[9839, 360, 527, 20, 40, "Output", + Cell[9838, 360, 527, 20, 40, "Output", CellTags->"Trick"], - Cell[10403, 385, 151, 5, 27, "Input", + Cell[10402, 385, 151, 5, 27, "Input", CellTags->"Trick", CellID->1364919880], - Cell[10557, 392, 298, 9, 51, "Output", + Cell[10556, 392, 298, 9, 51, "Output", CellTags->"Trick"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13991, 505}, - {"Trick", 14124, 509} + {"PrimaryExamplesSection", 13935, 504}, + {"Trick", 14067, 508} } *) (*NotebookFileOutline @@ -546,60 +545,60 @@ Notebook[{ Cell[577, 21, 3364, 81, 53, "AnchorBarGrid", CellID->1], Cell[3944, 104, 282, 11, 45, "ObjectNameGrid"], -Cell[4229, 117, 461, 13, 85, "Usage", +Cell[4229, 117, 461, 13, 101, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4715, 134, 388, 15, 31, "PrimaryExamplesSection", +Cell[4715, 134, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1172406000], + CellID->168410604], Cell[CellGroupData[{ -Cell[5128, 153, 195, 6, 26, "ExampleSection", - CellID->558656035], -Cell[5326, 161, 334, 13, 35, "Notes"], +Cell[5127, 153, 195, 6, 26, "ExampleSection", + CellID->779544195], +Cell[5325, 161, 334, 13, 35, "Notes"], Cell[CellGroupData[{ -Cell[5685, 178, 368, 12, 27, "Input", +Cell[5684, 178, 368, 12, 27, "Input", CellTags->"Trick", CellID->1470455200], -Cell[6056, 192, 374, 14, 37, "Output", +Cell[6055, 192, 374, 14, 37, "Output", CellTags->"Trick"] }, Open ]], Cell[CellGroupData[{ -Cell[6467, 211, 348, 12, 27, "Input", +Cell[6466, 211, 348, 12, 27, "Input", CellTags->"Trick", CellID->1607408478], -Cell[6818, 225, 1369, 58, 37, "Output", +Cell[6817, 225, 1369, 58, 37, "Output", CellTags->"Trick"] }, Open ]], Cell[CellGroupData[{ -Cell[8224, 288, 122, 4, 27, "Input", +Cell[8223, 288, 122, 4, 27, "Input", CellTags->"Trick", CellID->1357228781], -Cell[8349, 294, 1206, 52, 39, "Output", +Cell[8348, 294, 1206, 52, 39, "Output", CellTags->"Trick"] }, Open ]], Cell[CellGroupData[{ -Cell[9592, 351, 244, 7, 27, "Input", +Cell[9591, 351, 244, 7, 27, "Input", CellTags->"Trick", CellID->542077909], -Cell[9839, 360, 527, 20, 40, "Output", +Cell[9838, 360, 527, 20, 40, "Output", CellTags->"Trick"] }, Open ]], Cell[CellGroupData[{ -Cell[10403, 385, 151, 5, 27, "Input", +Cell[10402, 385, 151, 5, 27, "Input", CellTags->"Trick", CellID->1364919880], -Cell[10557, 392, 298, 9, 51, "Output", +Cell[10556, 392, 298, 9, 51, "Output", CellTags->"Trick"] }, Open ]] }, Open ]], -Cell[10882, 405, 31, 0, 29, "SectionFooterSpacer"] +Cell[10881, 405, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[10950, 410, 270, 12, 31, "SeeAlsoSection", +Cell[10949, 410, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[11223, 424, 832, 31, 56, "SeeAlso"] +Cell[11222, 424, 832, 31, 70, "SeeAlso"] }, Open ]], -Cell[12070, 458, 23, 0, 41, "FooterCell"] +Cell[12069, 458, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TrickIntegrate.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TrickIntegrate.nb index d5571d875..52895f98d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TrickIntegrate.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TrickIntegrate.nb @@ -79,7 +79,7 @@ TrickIntegrate.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$277359], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$278384], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TrickIntegrate", ".html"]], None}]}]}, @@ -183,7 +183,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->415536027], + CellID->1896793450], Cell[CellGroupData[{ @@ -193,7 +193,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->854168379], + CellID->86587233], Cell[CellGroupData[{ @@ -308,7 +308,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{278, Automatic}, {Automatic, 28}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"TrickIntegrate", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -320,7 +320,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 39.483603}", + "built" -> "{2020, 6, 20, 19, 12, 11.807526}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -354,9 +354,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5739, 170, 387, 15, 31, "PrimaryExamplesSection", + Cell[5739, 170, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->415536027]}, + CellID->1896793450]}, "TrickIntegrate"->{ Cell[6371, 199, 382, 13, 27, "Input", CellTags->"TrickIntegrate", @@ -372,7 +372,7 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10998, 355}, + {"PrimaryExamplesSection", 10997, 355}, {"TrickIntegrate", 11139, 359} } *) @@ -384,12 +384,12 @@ Cell[3614, 97, 291, 11, 45, "ObjectNameGrid"], Cell[3908, 110, 1806, 56, 165, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5739, 170, 387, 15, 31, "PrimaryExamplesSection", +Cell[5739, 170, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->415536027], + CellID->1896793450], Cell[CellGroupData[{ -Cell[6151, 189, 195, 6, 26, "ExampleSection", - CellID->854168379], +Cell[6152, 189, 194, 6, 26, "ExampleSection", + CellID->86587233], Cell[CellGroupData[{ Cell[6371, 199, 382, 13, 27, "Input", CellTags->"TrickIntegrate", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TrickMandelstam.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TrickMandelstam.nb index 4915242af..5f072bec1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TrickMandelstam.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TrickMandelstam.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10638, 344] +NotebookDataLength[ 10584, 343] NotebookOptionsPosition[ 7224, 246] -NotebookOutlinePosition[ 9940, 318] -CellTagsIndexPosition[ 9823, 312] +NotebookOutlinePosition[ 9886, 317] +CellTagsIndexPosition[ 9769, 311] WindowTitle->TrickMandelstam WindowFrame->Normal*) @@ -59,7 +59,7 @@ TrickMandelstam.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$277792], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$278817], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TrickMandelstam", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->668257312], + CellID->1671052356], Cell[CellGroupData[{ @@ -164,7 +164,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1120472139], + CellID->756444211], Cell[CellGroupData[{ @@ -259,7 +259,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 40.529219}", + "built" -> "{2020, 6, 20, 19, 12, 12.772960}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -282,8 +282,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -293,9 +292,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4696, 141, 387, 15, 31, "PrimaryExamplesSection", + Cell[4696, 141, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->668257312]}, + CellID->1671052356]}, "TrickMandelstam"->{ Cell[5329, 170, 545, 19, 33, "Input", CellTags->"TrickMandelstam", @@ -311,8 +310,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9318, 294}, - {"TrickMandelstam", 9460, 298} + {"PrimaryExamplesSection", 9263, 293}, + {"TrickMandelstam", 9406, 297} } *) (*NotebookFileOutline @@ -323,12 +322,12 @@ Cell[2892, 76, 292, 11, 45, "ObjectNameGrid"], Cell[3187, 89, 1484, 48, 107, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4696, 141, 387, 15, 31, "PrimaryExamplesSection", +Cell[4696, 141, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->668257312], + CellID->1671052356], Cell[CellGroupData[{ -Cell[5108, 160, 196, 6, 26, "ExampleSection", - CellID->1120472139], +Cell[5109, 160, 195, 6, 26, "ExampleSection", + CellID->756444211], Cell[CellGroupData[{ Cell[5329, 170, 545, 19, 33, "Input", CellTags->"TrickMandelstam", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2AlienOperator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2AlienOperator.nb index a2a7010d7..fc7b57661 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2AlienOperator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2AlienOperator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13799, 451] +NotebookDataLength[ 13744, 450] NotebookOptionsPosition[ 10476, 355] -NotebookOutlinePosition[ 13083, 425] -CellTagsIndexPosition[ 12960, 419] +NotebookOutlinePosition[ 13028, 424] +CellTagsIndexPosition[ 12905, 418] WindowTitle->Twist2AlienOperator WindowFrame->Normal*) @@ -59,7 +59,7 @@ Twist2AlienOperator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$279123], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$280148], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Twist2AlienOperator", ".html"]], None}]}]}, @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1711570411], + CellID->1035099986], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1110479619], + CellID->1192563774], Cell[CellGroupData[{ @@ -368,7 +368,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 44.037246}", + "built" -> "{2020, 6, 20, 19, 12, 16.068673}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -389,8 +389,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -402,7 +401,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3733, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1711570411]}, + CellID->1035099986]}, "Twist2AlienOperator"->{ Cell[4367, 136, 177, 5, 27, "Input", CellTags->"Twist2AlienOperator", @@ -418,8 +417,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 12433, 401}, - {"Twist2AlienOperator", 12580, 405} + {"PrimaryExamplesSection", 12378, 400}, + {"Twist2AlienOperator", 12525, 404} } *) (*NotebookFileOutline @@ -432,10 +431,10 @@ Cell[3211, 89, 497, 14, 102, "Usage", Cell[CellGroupData[{ Cell[3733, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1711570411], + CellID->1035099986], Cell[CellGroupData[{ Cell[4146, 126, 196, 6, 26, "ExampleSection", - CellID->1110479619], + CellID->1192563774], Cell[CellGroupData[{ Cell[4367, 136, 177, 5, 27, "Input", CellTags->"Twist2AlienOperator", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2CounterOperator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2CounterOperator.nb index 530dc9511..5bfdb017b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2CounterOperator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2CounterOperator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 19173, 642] +NotebookDataLength[ 19118, 641] NotebookOptionsPosition[ 15375, 534] -NotebookOutlinePosition[ 18237, 609] -CellTagsIndexPosition[ 18112, 603] +NotebookOutlinePosition[ 18182, 608] +CellTagsIndexPosition[ 18057, 602] WindowTitle->Twist2CounterOperator WindowFrame->Normal*) @@ -59,7 +59,7 @@ Twist2CounterOperator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$279551], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$280576], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Twist2CounterOperator", ".html"]], None}]}]}, @@ -123,7 +123,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1185385773], + CellID->1182741447], Cell[CellGroupData[{ @@ -133,7 +133,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1655180484], + CellID->1021331494], Cell[CellGroupData[{ @@ -535,7 +535,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Twist2CounterOperator", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -547,7 +547,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 45.164331}", + "built" -> "{2020, 6, 20, 19, 12, 17.089018}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -568,8 +568,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -581,7 +580,7 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3848, 110, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1185385773]}, + CellID->1182741447]}, "Twist2CounterOperator"->{ Cell[4482, 139, 222, 6, 27, "Input", CellTags->"Twist2CounterOperator", @@ -602,8 +601,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 17386, 580}, - {"Twist2CounterOperator", 17535, 584} + {"PrimaryExamplesSection", 17331, 579}, + {"Twist2CounterOperator", 17480, 583} } *) (*NotebookFileOutline @@ -616,10 +615,10 @@ Cell[3223, 89, 600, 17, 102, "Usage", Cell[CellGroupData[{ Cell[3848, 110, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1185385773], + CellID->1182741447], Cell[CellGroupData[{ Cell[4261, 129, 196, 6, 26, "ExampleSection", - CellID->1655180484], + CellID->1021331494], Cell[CellGroupData[{ Cell[4482, 139, 222, 6, 27, "Input", CellTags->"Twist2CounterOperator", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2GluonOperator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2GluonOperator.nb index f7923912e..e6b9b61d0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2GluonOperator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2GluonOperator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 12549, 381] -NotebookOptionsPosition[ 8607, 280] -NotebookOutlinePosition[ 11804, 355] -CellTagsIndexPosition[ 11681, 349] +NotebookDataLength[ 12496, 380] +NotebookOptionsPosition[ 8608, 280] +NotebookOutlinePosition[ 11750, 354] +CellTagsIndexPosition[ 11627, 348] WindowTitle->Twist2GluonOperator WindowFrame->Normal*) @@ -79,7 +79,7 @@ Twist2GluonOperator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$279983], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$281008], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Twist2GluonOperator", ".html"]], None}]}]}, @@ -155,7 +155,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1700890378], + CellID->767073940], Cell[CellGroupData[{ @@ -165,7 +165,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->45328809], + CellID->1636802674], Cell["The setting All for Explicit performs the sums.", "Notes"], @@ -293,7 +293,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 46.332445}", + "built" -> "{2020, 6, 20, 19, 12, 18.183879}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -324,8 +324,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 0}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -335,21 +334,21 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[5382, 142, 388, 15, 31, "PrimaryExamplesSection", + Cell[5382, 142, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1700890378]}, + CellID->767073940]}, "Twist2GluonOperator"->{ - Cell[6081, 173, 493, 13, 45, "Input", + Cell[6082, 173, 493, 13, 45, "Input", CellTags->"Twist2GluonOperator", CellID->1893252067], - Cell[6577, 188, 1400, 57, 43, "Output", + Cell[6578, 188, 1400, 57, 43, "Output", CellTags->"Twist2GluonOperator"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 11331, 336}, - {"Twist2GluonOperator", 11478, 340} + {"PrimaryExamplesSection", 11278, 335}, + {"Twist2GluonOperator", 11424, 339} } *) (*NotebookFileOutline @@ -360,29 +359,29 @@ Cell[3663, 97, 296, 11, 45, "ObjectNameGrid"], Cell[3962, 110, 1395, 28, 222, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[5382, 142, 388, 15, 31, "PrimaryExamplesSection", +Cell[5382, 142, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1700890378], + CellID->767073940], Cell[CellGroupData[{ -Cell[5795, 161, 194, 6, 26, "ExampleSection", - CellID->45328809], -Cell[5992, 169, 64, 0, 32, "Notes"], +Cell[5794, 161, 196, 6, 26, "ExampleSection", + CellID->1636802674], +Cell[5993, 169, 64, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[6081, 173, 493, 13, 45, "Input", +Cell[6082, 173, 493, 13, 45, "Input", CellTags->"Twist2GluonOperator", CellID->1893252067], -Cell[6577, 188, 1400, 57, 43, "Output", +Cell[6578, 188, 1400, 57, 43, "Output", CellTags->"Twist2GluonOperator"] }, Open ]] }, Open ]], -Cell[8004, 249, 31, 0, 29, "SectionFooterSpacer"] +Cell[8005, 249, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[8072, 254, 270, 12, 31, "SeeAlsoSection", +Cell[8073, 254, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[8345, 268, 220, 7, 56, "SeeAlso"] +Cell[8346, 268, 220, 7, 56, "SeeAlso"] }, Open ]], -Cell[8580, 278, 23, 0, 41, "FooterCell"] +Cell[8581, 278, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2QuarkOperator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2QuarkOperator.nb index 8f88b8ffb..ef7a1baa9 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2QuarkOperator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist2QuarkOperator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8671, 232] +NotebookDataLength[ 8673, 232] NotebookOptionsPosition[ 5775, 164] -NotebookOutlinePosition[ 8463, 224] -CellTagsIndexPosition[ 8420, 221] +NotebookOutlinePosition[ 8465, 224] +CellTagsIndexPosition[ 8422, 221] WindowTitle->Twist2QuarkOperator WindowFrame->Normal*) @@ -79,7 +79,7 @@ Twist2QuarkOperator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$280416], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$281441], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Twist2QuarkOperator", ".html"]], None}]}]}, @@ -177,7 +177,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 47.454937}", + "built" -> "{2020, 6, 20, 19, 12, 19.174769}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist3QuarkOperator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist3QuarkOperator.nb index 60956e7e5..886bdc774 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist3QuarkOperator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist3QuarkOperator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13425, 423] +NotebookDataLength[ 13368, 422] NotebookOptionsPosition[ 9125, 306] -NotebookOutlinePosition[ 12291, 383] -CellTagsIndexPosition[ 12168, 377] +NotebookOutlinePosition[ 12234, 382] +CellTagsIndexPosition[ 12111, 376] WindowTitle->Twist3QuarkOperator WindowFrame->Normal*) @@ -81,7 +81,7 @@ Twist3QuarkOperator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$280859], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$281884], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Twist3QuarkOperator", ".html"]], None}]}]}, @@ -161,7 +161,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->995518247], + CellID->755707055], Cell["", "SectionHeaderSpacer"], @@ -208,7 +208,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->732625942], + CellID->1027307350], Cell[CellGroupData[{ @@ -218,7 +218,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1615736382], + CellID->173864310], Cell[CellGroupData[{ @@ -307,7 +307,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{-10, Automatic}, {Automatic, -8}}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, WindowTitle->"Twist3QuarkOperator", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -319,7 +319,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 48.363974}", + "built" -> "{2020, 6, 20, 19, 12, 20.278665}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -347,8 +347,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -369,15 +368,15 @@ CellTagsIndex->{ Cell[7374, 230, 929, 35, 40, "Output", CellTags->"Twist3QuarkOperator"]}, "PrimaryExamplesSection"->{ - Cell[6589, 195, 387, 15, 31, "PrimaryExamplesSection", + Cell[6589, 195, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->732625942]} + CellID->1027307350]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Twist3QuarkOperator", 11643, 359}, - {"PrimaryExamplesSection", 12025, 370} + {"Twist3QuarkOperator", 11585, 358}, + {"PrimaryExamplesSection", 11967, 369} } *) (*NotebookFileOutline @@ -391,7 +390,7 @@ Cell[4094, 114, 1041, 21, 188, "Usage", Cell[CellGroupData[{ Cell[5160, 139, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->995518247], + CellID->755707055], Cell[5901, 165, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5957, 169, 155, 4, 70, "Input", @@ -403,12 +402,12 @@ Cell[6115, 175, 413, 13, 37, "Output", }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6589, 195, 387, 15, 31, "PrimaryExamplesSection", +Cell[6589, 195, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->732625942], + CellID->1027307350], Cell[CellGroupData[{ -Cell[7001, 214, 196, 6, 26, "ExampleSection", - CellID->1615736382], +Cell[7002, 214, 195, 6, 26, "ExampleSection", + CellID->173864310], Cell[CellGroupData[{ Cell[7222, 224, 149, 4, 27, "Input", CellTags->"Twist3QuarkOperator", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist4GluonOperator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist4GluonOperator.nb index 0fb173fbb..3c51cad25 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist4GluonOperator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Twist4GluonOperator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 210647, 7989] -NotebookOptionsPosition[ 207516, 7900] -NotebookOutlinePosition[ 209919, 7964] -CellTagsIndexPosition[ 209792, 7958] +NotebookDataLength[ 210590, 7988] +NotebookOptionsPosition[ 207514, 7900] +NotebookOutlinePosition[ 209864, 7963] +CellTagsIndexPosition[ 209737, 7957] WindowTitle->Twist4GluonOperator WindowFrame->Normal*) @@ -83,7 +83,7 @@ Twist4GluonOperator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$281296], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$282321], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Twist4GluonOperator", ".html"]], None}]}]}, @@ -156,7 +156,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1916907731], + CellID->1947159596], Cell[CellGroupData[{ @@ -166,7 +166,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1286362992], + CellID->94812485], Cell[CellGroupData[{ @@ -7901,7 +7901,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Twist4GluonOperator", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -7913,7 +7913,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 49.644037}", + "built" -> "{2020, 6, 20, 19, 12, 21.488529}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -7933,8 +7933,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -7946,19 +7945,19 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[5049, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1916907731]}, + CellID->1947159596]}, "Twist4GluonOperator"->{ - Cell[5683, 172, 546, 16, 45, "Input", + Cell[5681, 172, 546, 16, 45, "Input", CellTags->"Twist4GluonOperator", CellID->456251569], - Cell[6232, 190, 200270, 7663, 1818, "Output", + Cell[6230, 190, 200270, 7663, 1818, "Output", CellTags->"Twist4GluonOperator"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 209437, 7945}, - {"Twist4GluonOperator", 209584, 7949} + {"PrimaryExamplesSection", 209382, 7944}, + {"Twist4GluonOperator", 209529, 7948} } *) (*NotebookFileOutline @@ -7971,26 +7970,26 @@ Cell[4182, 114, 842, 25, 102, "Usage", Cell[CellGroupData[{ Cell[5049, 143, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1916907731], + CellID->1947159596], Cell[CellGroupData[{ -Cell[5462, 162, 196, 6, 26, "ExampleSection", - CellID->1286362992], +Cell[5462, 162, 194, 6, 26, "ExampleSection", + CellID->94812485], Cell[CellGroupData[{ -Cell[5683, 172, 546, 16, 45, "Input", +Cell[5681, 172, 546, 16, 45, "Input", CellTags->"Twist4GluonOperator", CellID->456251569], -Cell[6232, 190, 200270, 7663, 1818, "Output", +Cell[6230, 190, 200270, 7663, 1818, "Output", CellTags->"Twist4GluonOperator"] }, Open ]] }, Open ]], -Cell[206529, 7857, 31, 0, 70, "SectionFooterSpacer"] +Cell[206527, 7857, 31, 0, 70, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[206597, 7862, 270, 12, 70, "SeeAlsoSection", +Cell[206595, 7862, 270, 12, 70, "SeeAlsoSection", CellID->1255426704], -Cell[206870, 7876, 604, 19, 70, "SeeAlso"] +Cell[206868, 7876, 604, 19, 70, "SeeAlso"] }, Open ]], -Cell[207489, 7898, 23, 0, 70, "FooterCell"] +Cell[207487, 7898, 23, 0, 70, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TwoLoopSimplify.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TwoLoopSimplify.nb index 33f3507cd..e10b936d1 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TwoLoopSimplify.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TwoLoopSimplify.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8892, 280] +NotebookDataLength[ 8894, 280] NotebookOptionsPosition[ 5948, 196] -NotebookOutlinePosition[ 8315, 259] -CellTagsIndexPosition[ 8198, 253] +NotebookOutlinePosition[ 8317, 259] +CellTagsIndexPosition[ 8200, 253] WindowTitle->TwoLoopSimplify WindowFrame->Normal*) @@ -79,7 +79,7 @@ TwoLoopSimplify.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$281731], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$282756], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TwoLoopSimplify", ".html"]], None}]}]}, @@ -209,7 +209,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 50.968292}", + "built" -> "{2020, 6, 20, 19, 12, 22.788523}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -252,8 +252,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7945, 242}, - {"TwoLoopSimplify", 8079, 246} + {"PrimaryExamplesSection", 7947, 242}, + {"TwoLoopSimplify", 8081, 246} } *) (*NotebookFileOutline diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TypesettingExplicitLorentzIndex.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TypesettingExplicitLorentzIndex.nb index 9962bee47..8b87ba1cf 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/TypesettingExplicitLorentzIndex.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/TypesettingExplicitLorentzIndex.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 14539, 485] -NotebookOptionsPosition[ 11267, 386] -NotebookOutlinePosition[ 13475, 445] -CellTagsIndexPosition[ 13390, 440] +NotebookDataLength[ 14484, 484] +NotebookOptionsPosition[ 11266, 386] +NotebookOutlinePosition[ 13421, 444] +CellTagsIndexPosition[ 13336, 439] WindowTitle->TypesettingExplicitLorentzIndex WindowFrame->Normal*) @@ -61,7 +61,7 @@ TypesettingExplicitLorentzIndex.html"], StandardForm]], "Input", URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$282181], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$283206], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/TypesettingExplicitLorentzIndex", ".html"]], @@ -120,7 +120,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1996553637], + CellID->1824602051], Cell[CellGroupData[{ @@ -130,7 +130,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1831110570], + CellID->157187319], Cell["Current setting", "Notes", CellID->2059846880], @@ -387,7 +387,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"TypesettingExplicitLorentzIndex", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -399,7 +399,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 51.868264}", + "built" -> "{2020, 6, 20, 19, 12, 23.900546}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -421,8 +421,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -434,12 +433,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3740, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1996553637]} + CellID->1824602051]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 13246, 433} + {"PrimaryExamplesSection", 13192, 432} } *) (*NotebookFileOutline @@ -452,41 +451,41 @@ Cell[3316, 92, 399, 11, 85, "Usage", Cell[CellGroupData[{ Cell[3740, 107, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1996553637], + CellID->1824602051], Cell[CellGroupData[{ -Cell[4153, 126, 196, 6, 26, "ExampleSection", - CellID->1831110570], -Cell[4352, 134, 53, 1, 32, "Notes", +Cell[4153, 126, 195, 6, 26, "ExampleSection", + CellID->157187319], +Cell[4351, 134, 53, 1, 32, "Notes", CellID->2059846880], Cell[CellGroupData[{ -Cell[4430, 139, 162, 3, 45, "Input", +Cell[4429, 139, 162, 3, 45, "Input", CellID->1930861280], -Cell[4595, 144, 289, 9, 37, "Output", +Cell[4594, 144, 289, 9, 37, "Output", CellID->608983385], -Cell[4887, 155, 247, 8, 67, "Output", +Cell[4886, 155, 247, 8, 67, "Output", CellID->1300783929] }, Open ]], -Cell[5149, 166, 76, 1, 32, "Notes", +Cell[5148, 166, 76, 1, 32, "Notes", CellID->2081420506], -Cell[5228, 169, 265, 8, 27, "Input", +Cell[5227, 169, 265, 8, 27, "Input", CellID->240390894], Cell[CellGroupData[{ -Cell[5518, 181, 997, 32, 45, "Input", +Cell[5517, 181, 997, 32, 45, "Input", CellID->1698479077], -Cell[6518, 215, 4173, 142, 63, "Output", +Cell[6517, 215, 4173, 142, 63, "Output", CellID->705495845] }, Open ]], -Cell[10706, 360, 67, 1, 32, "Notes", +Cell[10705, 360, 67, 1, 32, "Notes", CellID->1802886925], Cell[CellGroupData[{ -Cell[10798, 365, 181, 5, 27, "Input", +Cell[10797, 365, 181, 5, 27, "Input", CellID->585981240], -Cell[10982, 372, 219, 7, 35, "Output", +Cell[10981, 372, 219, 7, 35, "Output", CellID->692314547] }, Open ]] }, Open ]] }, Open ]], -Cell[11240, 384, 23, 0, 41, "FooterCell"] +Cell[11239, 384, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareAntiCommutator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareAntiCommutator.nb index 26ef23325..cd593731b 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareAntiCommutator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareAntiCommutator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10310, 349] -NotebookOptionsPosition[ 7270, 258] -NotebookOutlinePosition[ 9428, 315] -CellTagsIndexPosition[ 9344, 310] +NotebookDataLength[ 10260, 348] +NotebookOptionsPosition[ 7272, 258] +NotebookOutlinePosition[ 9376, 314] +CellTagsIndexPosition[ 9292, 309] WindowTitle->UnDeclareAntiCommutator WindowFrame->Normal*) @@ -59,7 +59,7 @@ UnDeclareAntiCommutator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$283056], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$284081], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/UnDeclareAntiCommutator", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->962288157], + CellID->1103457787], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->819973676], + CellID->2093976579], Cell[BoxData[ RowBox[{ @@ -259,7 +259,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"UnDeclareAntiCommutator", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -271,7 +271,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 54.129196}", + "built" -> "{2020, 6, 20, 19, 12, 26.084449}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -291,8 +291,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -302,14 +301,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3702, 106, 387, 15, 31, "PrimaryExamplesSection", + Cell[3702, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->962288157]} + CellID->1103457787]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 9201, 303} + {"PrimaryExamplesSection", 9148, 302} } *) (*NotebookFileOutline @@ -320,37 +319,37 @@ Cell[2932, 76, 300, 11, 45, "ObjectNameGrid"], Cell[3235, 89, 442, 13, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3702, 106, 387, 15, 31, "PrimaryExamplesSection", +Cell[3702, 106, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->962288157], + CellID->1103457787], Cell[CellGroupData[{ -Cell[4114, 125, 195, 6, 26, "ExampleSection", - CellID->819973676], -Cell[4312, 133, 388, 13, 46, "Input", +Cell[4115, 125, 196, 6, 26, "ExampleSection", + CellID->2093976579], +Cell[4314, 133, 388, 13, 46, "Input", CellID->1775428703], Cell[CellGroupData[{ -Cell[4725, 150, 223, 6, 27, "Input", +Cell[4727, 150, 223, 6, 27, "Input", CellID->823372504], -Cell[4951, 158, 434, 17, 43, "Output", +Cell[4953, 158, 434, 17, 43, "Output", CellID->363675977] }, Open ]], Cell[CellGroupData[{ -Cell[5422, 180, 110, 3, 27, "Input", +Cell[5424, 180, 110, 3, 27, "Input", CellID->256646598], -Cell[5535, 185, 186, 6, 35, "Output", +Cell[5537, 185, 186, 6, 35, "Output", CellID->773141921] }, Open ]], -Cell[5736, 194, 362, 11, 46, "Input", +Cell[5738, 194, 362, 11, 46, "Input", CellID->369842680], Cell[CellGroupData[{ -Cell[6123, 209, 268, 7, 27, "Input", +Cell[6125, 209, 268, 7, 27, "Input", CellID->2024321215], -Cell[6394, 218, 810, 33, 38, "Output", +Cell[6396, 218, 810, 33, 38, "Output", CellID->643410288] }, Open ]] }, Open ]] }, Open ]], -Cell[7243, 256, 23, 0, 41, "FooterCell"] +Cell[7245, 256, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareCommutator.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareCommutator.nb index 1419bcea4..85b04ccc0 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareCommutator.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareCommutator.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10560, 358] +NotebookDataLength[ 10505, 357] NotebookOptionsPosition[ 7750, 275] -NotebookOutlinePosition[ 9692, 325] -CellTagsIndexPosition[ 9649, 322] +NotebookOutlinePosition[ 9637, 324] +CellTagsIndexPosition[ 9594, 321] WindowTitle->UnDeclareCommutator WindowFrame->Normal*) @@ -59,7 +59,7 @@ UnDeclareCommutator.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$283487], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$284512], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/UnDeclareCommutator", ".html"]], None}]}]}, @@ -130,7 +130,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1241007059], + CellID->1444405014], Cell["", "SectionHeaderSpacer"], @@ -288,7 +288,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 55.258354}", + "built" -> "{2020, 6, 20, 19, 12, 27.080249}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -308,8 +308,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -333,7 +332,7 @@ Cell[3233, 91, 433, 13, 85, "Usage", Cell[CellGroupData[{ Cell[3691, 108, 739, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1241007059], + CellID->1444405014], Cell[4433, 134, 31, 0, 70, "SectionHeaderSpacer"], Cell[4467, 136, 384, 13, 70, "Input", CellID->998380912], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareFCTensor.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareFCTensor.nb index 690957258..b87716e43 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareFCTensor.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareFCTensor.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8905, 288] +NotebookDataLength[ 8850, 287] NotebookOptionsPosition[ 6107, 207] -NotebookOutlinePosition[ 8268, 264] -CellTagsIndexPosition[ 8184, 259] +NotebookOutlinePosition[ 8213, 263] +CellTagsIndexPosition[ 8129, 258] WindowTitle->UnDeclareFCTensor WindowFrame->Normal*) @@ -59,7 +59,7 @@ UnDeclareFCTensor.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$283914], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$284939], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/UnDeclareFCTensor", ".html"]], None}]}]}, @@ -119,7 +119,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->727272174], + CellID->948677546], Cell[CellGroupData[{ @@ -129,7 +129,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->675330349], + CellID->318111284], Cell[BoxData[ RowBox[{"ClearAll", "[", "myTens", "]"}]], "Input", @@ -208,7 +208,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"UnDeclareFCTensor", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -220,7 +220,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 56.244774}", + "built" -> "{2020, 6, 20, 19, 12, 28.091952}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -240,8 +240,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -253,12 +252,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3711, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->727272174]} + CellID->948677546]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8041, 252} + {"PrimaryExamplesSection", 7986, 251} } *) (*NotebookFileOutline @@ -271,10 +270,10 @@ Cell[3199, 89, 487, 13, 85, "Usage", Cell[CellGroupData[{ Cell[3711, 106, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->727272174], + CellID->948677546], Cell[CellGroupData[{ Cell[4123, 125, 195, 6, 26, "ExampleSection", - CellID->675330349], + CellID->318111284], Cell[4321, 133, 109, 3, 27, "Input", CellID->459227138], Cell[4433, 138, 116, 3, 27, "Input", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareNonCommutative.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareNonCommutative.nb index 15b4cce29..7a3dcce72 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareNonCommutative.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/UnDeclareNonCommutative.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 13818, 454] +NotebookDataLength[ 13823, 454] NotebookOptionsPosition[ 8665, 303] -NotebookOutlinePosition[ 12025, 394] -CellTagsIndexPosition[ 11898, 388] +NotebookOutlinePosition[ 12030, 394] +CellTagsIndexPosition[ 11903, 388] WindowTitle->UnDeclareNonCommutative WindowFrame->Normal*) @@ -82,7 +82,7 @@ UnDeclareNonCommutative.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$284352], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$285377], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/UnDeclareNonCommutative", ".html"]], None}]}]}, @@ -144,7 +144,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->198275930], + CellID->1166389630], Cell[CellGroupData[{ @@ -154,7 +154,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1142808201], + CellID->697987348], Cell[BoxData[ RowBox[{"DeclareNonCommutative", "[", "x", "]"}]], "Input", @@ -229,7 +229,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"True", ",", "True"}], "}"}], TraditionalForm]], "Output", - ImageSize->{79, 14}, + ImageSize->{79, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"UnDeclareNonCommutative", @@ -256,7 +256,7 @@ Cell[BoxData[ FormBox[ RowBox[{"{", RowBox[{"False", ",", "False"}], "}"}], TraditionalForm]], "Output", - ImageSize->{85, 14}, + ImageSize->{85, 16}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellTags->"UnDeclareNonCommutative", @@ -304,7 +304,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"UnDeclareNonCommutative", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -316,7 +316,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 57.273913}", + "built" -> "{2020, 6, 20, 19, 12, 29.097598}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -347,9 +347,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4632, 131, 387, 15, 31, "PrimaryExamplesSection", + Cell[4632, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->198275930]}, + CellID->1166389630]}, "UnDeclareNonCommutative"->{ Cell[5243, 158, 156, 4, 27, "Input", CellTags->"UnDeclareNonCommutative", @@ -373,7 +373,7 @@ CellTagsIndex->{ Cell[6750, 220, 189, 5, 27, "Input", CellTags->"UnDeclareNonCommutative", CellID->1458539742], - Cell[6942, 227, 257, 8, 35, "Output", + Cell[6942, 227, 257, 8, 37, "Output", CellTags->"UnDeclareNonCommutative"], Cell[7214, 238, 181, 5, 27, "Input", CellTags->"UnDeclareNonCommutative", @@ -381,14 +381,14 @@ CellTagsIndex->{ Cell[7420, 247, 188, 5, 27, "Input", CellTags->"UnDeclareNonCommutative", CellID->702684679], - Cell[7611, 254, 259, 8, 35, "Output", + Cell[7611, 254, 259, 8, 37, "Output", CellTags->"UnDeclareNonCommutative"]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 10581, 348}, - {"UnDeclareNonCommutative", 10731, 352} + {"PrimaryExamplesSection", 10585, 348}, + {"UnDeclareNonCommutative", 10736, 352} } *) (*NotebookFileOutline @@ -399,12 +399,12 @@ Cell[3795, 100, 300, 11, 45, "ObjectNameGrid"], Cell[4098, 113, 509, 14, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4632, 131, 387, 15, 31, "PrimaryExamplesSection", +Cell[4632, 131, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->198275930], + CellID->1166389630], Cell[CellGroupData[{ -Cell[5044, 150, 196, 6, 26, "ExampleSection", - CellID->1142808201], +Cell[5045, 150, 195, 6, 26, "ExampleSection", + CellID->697987348], Cell[5243, 158, 156, 4, 27, "Input", CellTags->"UnDeclareNonCommutative", CellID->1470795437], @@ -434,7 +434,7 @@ Cell[CellGroupData[{ Cell[6750, 220, 189, 5, 27, "Input", CellTags->"UnDeclareNonCommutative", CellID->1458539742], -Cell[6942, 227, 257, 8, 35, "Output", +Cell[6942, 227, 257, 8, 37, "Output", CellTags->"UnDeclareNonCommutative"] }, Open ]], Cell[7214, 238, 181, 5, 27, "Input", @@ -444,7 +444,7 @@ Cell[CellGroupData[{ Cell[7420, 247, 188, 5, 27, "Input", CellTags->"UnDeclareNonCommutative", CellID->702684679], -Cell[7611, 254, 259, 8, 35, "Output", +Cell[7611, 254, 259, 8, 37, "Output", CellTags->"UnDeclareNonCommutative"] }, Open ]] }, Open ]], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Uncontract.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Uncontract.nb index 73419902c..7da7120c4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Uncontract.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Uncontract.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 22354, 832] -NotebookOptionsPosition[ 16212, 635] -NotebookOutlinePosition[ 19872, 740] -CellTagsIndexPosition[ 19758, 734] +NotebookDataLength[ 22360, 832] +NotebookOptionsPosition[ 16213, 635] +NotebookOutlinePosition[ 19877, 740] +CellTagsIndexPosition[ 19763, 734] WindowTitle->Uncontract WindowFrame->Normal*) @@ -79,7 +79,7 @@ Uncontract.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$282616], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$283641], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Uncontract", ".html"]], None}]}]}, @@ -154,7 +154,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->434876890], + CellID->973356211], Cell["", "SectionHeaderSpacer"], @@ -203,7 +203,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1177662485], + CellID->1027726963], Cell[CellGroupData[{ @@ -213,7 +213,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->101891162], + CellID->1979761865], Cell[CellGroupData[{ @@ -636,7 +636,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Uncontract", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -648,7 +648,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 52.967433}", + "built" -> "{2020, 6, 20, 19, 12, 25.006036}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -685,56 +685,56 @@ CellTagsIndex->{ Cell[5471, 168, 477, 15, 37, "Output", CellTags->"Uncontract", CellID->659553310], - Cell[6642, 219, 227, 8, 27, "Input", + Cell[6643, 219, 227, 8, 27, "Input", CellTags->"Uncontract", CellID->851114003], - Cell[6872, 229, 637, 27, 38, "Output", + Cell[6873, 229, 637, 27, 38, "Output", CellTags->"Uncontract"], - Cell[7546, 261, 160, 5, 27, "Input", + Cell[7547, 261, 160, 5, 27, "Input", CellTags->"Uncontract", CellID->1865320721], - Cell[7709, 268, 1020, 41, 40, "Output", + Cell[7710, 268, 1020, 41, 40, "Output", CellTags->"Uncontract"], - Cell[8766, 314, 124, 4, 27, "Input", + Cell[8767, 314, 124, 4, 27, "Input", CellTags->"Uncontract", CellID->1250693732], - Cell[8893, 320, 353, 13, 37, "Output", + Cell[8894, 320, 353, 13, 37, "Output", CellTags->"Uncontract"], - Cell[9283, 338, 160, 5, 27, "Input", + Cell[9284, 338, 160, 5, 27, "Input", CellTags->"Uncontract", CellID->1980864082], - Cell[9446, 345, 711, 27, 40, "Output", + Cell[9447, 345, 711, 27, 40, "Output", CellTags->"Uncontract"], - Cell[10194, 377, 291, 10, 27, "Input", + Cell[10195, 377, 291, 10, 27, "Input", CellTags->"Uncontract", CellID->1016696995], - Cell[10488, 389, 1458, 56, 43, "Output", + Cell[10489, 389, 1458, 56, 43, "Output", CellTags->"Uncontract"], - Cell[12051, 452, 214, 7, 27, "Input", + Cell[12052, 452, 214, 7, 27, "Input", CellTags->"Uncontract", CellID->618827731], - Cell[12268, 461, 461, 19, 37, "Output", + Cell[12269, 461, 461, 19, 37, "Output", CellTags->"Uncontract"], - Cell[12889, 488, 254, 8, 27, "Input", + Cell[12890, 488, 254, 8, 27, "Input", CellTags->"Uncontract", CellID->765993198], - Cell[13146, 498, 781, 31, 40, "Output", + Cell[13147, 498, 781, 31, 40, "Output", CellTags->"Uncontract"], - Cell[13964, 534, 281, 9, 27, "Input", + Cell[13965, 534, 281, 9, 27, "Input", CellTags->"Uncontract", CellID->1461988505], - Cell[14248, 545, 1367, 55, 40, "Output", + Cell[14249, 545, 1367, 55, 40, "Output", CellTags->"Uncontract"]}, "PrimaryExamplesSection"->{ Cell[6009, 190, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1177662485]} + CellID->1027726963]} } *) (*CellTagsIndex CellTagsIndex->{ - {"Uncontract", 18122, 680}, - {"PrimaryExamplesSection", 19614, 727} + {"Uncontract", 18127, 680}, + {"PrimaryExamplesSection", 19619, 727} } *) (*NotebookFileOutline @@ -748,7 +748,7 @@ Cell[3908, 112, 600, 16, 102, "Usage", Cell[CellGroupData[{ Cell[4533, 132, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->434876890], + CellID->973356211], Cell[5274, 158, 31, 0, 70, "SectionHeaderSpacer"], Cell[CellGroupData[{ Cell[5330, 162, 138, 4, 70, "Input", @@ -763,77 +763,77 @@ Cell[5471, 168, 477, 15, 37, "Output", Cell[CellGroupData[{ Cell[6009, 190, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1177662485], + CellID->1027726963], Cell[CellGroupData[{ -Cell[6422, 209, 195, 6, 26, "ExampleSection", - CellID->101891162], +Cell[6422, 209, 196, 6, 26, "ExampleSection", + CellID->1979761865], Cell[CellGroupData[{ -Cell[6642, 219, 227, 8, 27, "Input", +Cell[6643, 219, 227, 8, 27, "Input", CellTags->"Uncontract", CellID->851114003], -Cell[6872, 229, 637, 27, 38, "Output", +Cell[6873, 229, 637, 27, 38, "Output", CellTags->"Uncontract"] }, Open ]], Cell[CellGroupData[{ -Cell[7546, 261, 160, 5, 27, "Input", +Cell[7547, 261, 160, 5, 27, "Input", CellTags->"Uncontract", CellID->1865320721], -Cell[7709, 268, 1020, 41, 40, "Output", +Cell[7710, 268, 1020, 41, 40, "Output", CellTags->"Uncontract"] }, Open ]], Cell[CellGroupData[{ -Cell[8766, 314, 124, 4, 27, "Input", +Cell[8767, 314, 124, 4, 27, "Input", CellTags->"Uncontract", CellID->1250693732], -Cell[8893, 320, 353, 13, 37, "Output", +Cell[8894, 320, 353, 13, 37, "Output", CellTags->"Uncontract"] }, Open ]], Cell[CellGroupData[{ -Cell[9283, 338, 160, 5, 27, "Input", +Cell[9284, 338, 160, 5, 27, "Input", CellTags->"Uncontract", CellID->1980864082], -Cell[9446, 345, 711, 27, 40, "Output", +Cell[9447, 345, 711, 27, 40, "Output", CellTags->"Uncontract"] }, Open ]], Cell[CellGroupData[{ -Cell[10194, 377, 291, 10, 27, "Input", +Cell[10195, 377, 291, 10, 27, "Input", CellTags->"Uncontract", CellID->1016696995], -Cell[10488, 389, 1458, 56, 43, "Output", +Cell[10489, 389, 1458, 56, 43, "Output", CellTags->"Uncontract"] }, Open ]], -Cell[11961, 448, 65, 0, 32, "Notes"], +Cell[11962, 448, 65, 0, 32, "Notes"], Cell[CellGroupData[{ -Cell[12051, 452, 214, 7, 27, "Input", +Cell[12052, 452, 214, 7, 27, "Input", CellTags->"Uncontract", CellID->618827731], -Cell[12268, 461, 461, 19, 37, "Output", +Cell[12269, 461, 461, 19, 37, "Output", CellTags->"Uncontract"] }, Open ]], -Cell[12744, 483, 120, 1, 32, "Notes"], +Cell[12745, 483, 120, 1, 32, "Notes"], Cell[CellGroupData[{ -Cell[12889, 488, 254, 8, 27, "Input", +Cell[12890, 488, 254, 8, 27, "Input", CellTags->"Uncontract", CellID->765993198], -Cell[13146, 498, 781, 31, 40, "Output", +Cell[13147, 498, 781, 31, 40, "Output", CellTags->"Uncontract"] }, Open ]], Cell[CellGroupData[{ -Cell[13964, 534, 281, 9, 27, "Input", +Cell[13965, 534, 281, 9, 27, "Input", CellTags->"Uncontract", CellID->1461988505], -Cell[14248, 545, 1367, 55, 40, "Output", +Cell[14249, 545, 1367, 55, 40, "Output", CellTags->"Uncontract"] }, Open ]] }, Open ]], -Cell[15642, 604, 31, 0, 29, "SectionFooterSpacer"] +Cell[15643, 604, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[15710, 609, 270, 12, 31, "SeeAlsoSection", +Cell[15711, 609, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[15983, 623, 187, 7, 56, "SeeAlso"] +Cell[15984, 623, 187, 7, 56, "SeeAlso"] }, Open ]], -Cell[16185, 633, 23, 0, 41, "FooterCell"] +Cell[16186, 633, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Vectors.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Vectors.nb index 6a8f9f2a5..168890073 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Vectors.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Vectors.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6957, 209] +NotebookDataLength[ 6959, 209] NotebookOptionsPosition[ 4878, 152] -NotebookOutlinePosition[ 6750, 201] -CellTagsIndexPosition[ 6707, 198] +NotebookOutlinePosition[ 6752, 201] +CellTagsIndexPosition[ 6709, 198] WindowTitle->Vectors WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$284793], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$285818], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Vectors", ".html"]], None}]}]}, @@ -165,7 +165,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 58.351530}", + "built" -> "{2020, 6, 20, 19, 12, 30.086688}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/West.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/West.nb index 8cdff8aba..35e190693 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/West.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/West.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8835, 277] +NotebookDataLength[ 8837, 277] NotebookOptionsPosition[ 6502, 211] -NotebookOutlinePosition[ 8306, 259] -CellTagsIndexPosition[ 8263, 256] +NotebookOutlinePosition[ 8308, 259] +CellTagsIndexPosition[ 8265, 256] WindowTitle->West WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$285237], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$286262], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/West", ".html"]], None}]}]}, @@ -224,7 +224,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 3, 59.302288}", + "built" -> "{2020, 6, 20, 19, 12, 30.907906}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Write2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Write2.nb index 2a2642cfd..f4dd1c279 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Write2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Write2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 23681, 821] +NotebookDataLength[ 23684, 821] NotebookOptionsPosition[ 17789, 630] -NotebookOutlinePosition[ 21122, 728] -CellTagsIndexPosition[ 21012, 722] +NotebookOutlinePosition[ 21125, 728] +CellTagsIndexPosition[ 21015, 722] WindowTitle->Write2 WindowFrame->Normal*) @@ -80,7 +80,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$285699], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$286724], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Write2", ".html"]], None}]}]}, @@ -159,7 +159,7 @@ Cell[TextData[Cell[BoxData[ Method->"Preemptive"]]]], "NotesSection", WholeCellGroupOpener->True, CellGroupingRules->{"SectionGrouping", 50}, - CellID->1529498728], + CellID->404698518], Cell["", "SectionHeaderSpacer"], @@ -200,7 +200,7 @@ Cell[BoxData[ RowBox[{"Precision", "\[Rule]", "15"}], ",", RowBox[{"StringReplace", "\[Rule]", RowBox[{"{", "}"}]}]}], "}"}], TraditionalForm]], "Output", - ImageSize->{499, 53}, + ImageSize->{499, 54}, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, CellLabel->"Out[150]="] @@ -225,7 +225,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->866533242], + CellID->689958338], Cell[CellGroupData[{ @@ -235,7 +235,7 @@ Cell[TextData[{ Cell["(2)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->115796692], + CellID->1454431559], Cell[CellGroupData[{ @@ -643,7 +643,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 0.258764}", + "built" -> "{2020, 6, 20, 19, 12, 32.026536}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -673,9 +673,9 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[6880, 212, 387, 15, 31, "PrimaryExamplesSection", + Cell[6879, 212, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->866533242]}, + CellID->689958338]}, "Write2"->{ Cell[7512, 241, 154, 4, 27, "Input", CellTags->"Write2", @@ -721,8 +721,8 @@ CellTagsIndex->{ *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 19655, 674}, - {"Write2", 19788, 678} + {"PrimaryExamplesSection", 19658, 674}, + {"Write2", 19791, 678} } *) (*NotebookFileOutline @@ -734,24 +734,24 @@ Cell[CellGroupData[{ Cell[3971, 113, 757, 20, 102, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4753, 137, 739, 24, 31, "NotesSection", +Cell[4753, 137, 738, 24, 31, "NotesSection", CellGroupingRules->{"SectionGrouping", 50}, - CellID->1529498728], -Cell[5495, 163, 31, 0, 70, "SectionHeaderSpacer"], -Cell[5529, 165, 314, 11, 70, "Notes"], + CellID->404698518], +Cell[5494, 163, 31, 0, 70, "SectionHeaderSpacer"], +Cell[5528, 165, 314, 11, 70, "Notes"], Cell[CellGroupData[{ -Cell[5868, 180, 90, 2, 70, "Input"], -Cell[5961, 184, 858, 21, 74, "Output"] +Cell[5867, 180, 90, 2, 70, "Input"], +Cell[5960, 184, 858, 21, 75, "Output"] }, Open ]] }, Closed]] }, Open ]], Cell[CellGroupData[{ -Cell[6880, 212, 387, 15, 31, "PrimaryExamplesSection", +Cell[6879, 212, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->866533242], + CellID->689958338], Cell[CellGroupData[{ -Cell[7292, 231, 195, 6, 26, "ExampleSection", - CellID->115796692], +Cell[7291, 231, 196, 6, 26, "ExampleSection", + CellID->1454431559], Cell[CellGroupData[{ Cell[7512, 241, 154, 4, 27, "Input", CellTags->"Write2", diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/WriteOut.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/WriteOut.nb index 967aad328..68890d944 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/WriteOut.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/WriteOut.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 6957, 210] +NotebookDataLength[ 6960, 210] NotebookOptionsPosition[ 4866, 153] -NotebookOutlinePosition[ 6750, 202] -CellTagsIndexPosition[ 6707, 199] +NotebookOutlinePosition[ 6753, 202] +CellTagsIndexPosition[ 6710, 199] WindowTitle->WriteOut WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$286147], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$287172], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/WriteOut", ".html"]], None}]}]}, @@ -166,7 +166,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 1.458060}", + "built" -> "{2020, 6, 20, 19, 12, 33.197633}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/WriteOutPaVe.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/WriteOutPaVe.nb index 3bbb8eb35..c8ab8ec2d 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/WriteOutPaVe.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/WriteOutPaVe.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7589, 226] +NotebookDataLength[ 7592, 226] NotebookOptionsPosition[ 5434, 168] -NotebookOutlinePosition[ 7380, 218] -CellTagsIndexPosition[ 7337, 215] +NotebookOutlinePosition[ 7383, 218] +CellTagsIndexPosition[ 7340, 215] WindowTitle->WriteOutPaVe WindowFrame->Normal*) @@ -82,7 +82,7 @@ WriteOutPaVe.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$286591], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$287616], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/WriteOutPaVe", ".html"]], None}]}]}, @@ -181,7 +181,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 2.547367}", + "built" -> "{2020, 6, 20, 19, 12, 33.996946}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/XYT.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/XYT.nb index 38f1a1fd3..e311436c3 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/XYT.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/XYT.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 5518, 162] +NotebookDataLength[ 5521, 162] NotebookOptionsPosition[ 3716, 112] -NotebookOutlinePosition[ 5454, 159] -CellTagsIndexPosition[ 5411, 156] +NotebookOutlinePosition[ 5457, 159] +CellTagsIndexPosition[ 5414, 156] WindowTitle->XYT WindowFrame->Normal*) @@ -59,7 +59,7 @@ Cell[BoxData[GridBox[{ URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$287040], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$288065], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/XYT", ".html"]], None}]}]}, @@ -125,7 +125,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 3.645517}", + "built" -> "{2020, 6, 20, 19, 12, 35.098790}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ZeroMomentumInsertion.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ZeroMomentumInsertion.nb index 28d8c27bd..31647fdf5 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/ZeroMomentumInsertion.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/ZeroMomentumInsertion.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 7551, 223] +NotebookDataLength[ 7554, 223] NotebookOptionsPosition[ 5475, 166] -NotebookOutlinePosition[ 7342, 215] -CellTagsIndexPosition[ 7299, 212] +NotebookOutlinePosition[ 7345, 215] +CellTagsIndexPosition[ 7302, 212] WindowTitle->ZeroMomentumInsertion WindowFrame->Normal*) @@ -82,7 +82,7 @@ ZeroMomentumInsertion.html"], StandardForm]], "Input", TextClipboardType -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$287479], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$288504], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/ZeroMomentumInsertion", ".html"]], None}]}]}, @@ -179,7 +179,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 4.479317}", + "built" -> "{2020, 6, 20, 19, 12, 36.220587}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta10.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta10.nb index 774c738e3..35318d12e 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta10.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta10.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8602, 295] +NotebookDataLength[ 8548, 294] NotebookOptionsPosition[ 5672, 204] -NotebookOutlinePosition[ 7686, 259] -CellTagsIndexPosition[ 7602, 254] +NotebookOutlinePosition[ 7632, 258] +CellTagsIndexPosition[ 7548, 253] WindowTitle->Zeta10 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$287922], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$288947], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Zeta10", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->554421080], + CellID->573109122], Cell[CellGroupData[{ @@ -127,7 +127,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1425189277], + CellID->1469502533], Cell[CellGroupData[{ @@ -217,7 +217,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 5.401423}", + "built" -> "{2020, 6, 20, 19, 12, 37.065528}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -235,8 +235,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -248,12 +247,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3500, 104, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->554421080]} + CellID->573109122]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7459, 247} + {"PrimaryExamplesSection", 7405, 246} } *) (*NotebookFileOutline @@ -261,15 +260,15 @@ Notebook[{ Cell[578, 21, 2265, 53, 53, "AnchorBarGrid", CellID->1], Cell[2846, 76, 283, 11, 45, "ObjectNameGrid"], -Cell[3132, 89, 343, 11, 84, "Usage", +Cell[3132, 89, 343, 11, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[3500, 104, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->554421080], + CellID->573109122], Cell[CellGroupData[{ Cell[3912, 123, 196, 6, 26, "ExampleSection", - CellID->1425189277], + CellID->1469502533], Cell[CellGroupData[{ Cell[4133, 133, 75, 2, 27, "Input", CellID->200433303], diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta2.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta2.nb index 7f76c2bd2..ae39883f4 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta2.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta2.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 10709, 376] -NotebookOptionsPosition[ 6972, 255] -NotebookOutlinePosition[ 9524, 330] -CellTagsIndexPosition[ 9417, 324] +NotebookDataLength[ 10658, 375] +NotebookOptionsPosition[ 6973, 255] +NotebookOutlinePosition[ 9472, 329] +CellTagsIndexPosition[ 9365, 323] WindowTitle->Zeta2 WindowFrame->Normal*) @@ -79,7 +79,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$288353], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$289378], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Zeta2", ".html"]], None}]}]}, @@ -137,7 +137,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->832889734], + CellID->1294915401], Cell[CellGroupData[{ @@ -147,7 +147,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->829028169], + CellID->566991432], Cell[CellGroupData[{ @@ -268,7 +268,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 6.489791}", + "built" -> "{2020, 6, 20, 19, 12, 38.103616}", "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -286,8 +286,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{428, Automatic}, {Automatic, 29}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -297,34 +296,34 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[4209, 124, 387, 15, 31, "PrimaryExamplesSection", + Cell[4209, 124, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->832889734]}, + CellID->1294915401]}, "Zeta2"->{ - Cell[4841, 153, 95, 3, 27, "Input", + Cell[4842, 153, 95, 3, 27, "Input", CellTags->"Zeta2", CellID->1322156795], - Cell[4939, 158, 241, 8, 37, "Output", + Cell[4940, 158, 241, 8, 37, "Output", CellTags->"Zeta2", CellID->1170410673], - Cell[5217, 171, 122, 4, 27, "Input", + Cell[5218, 171, 122, 4, 27, "Input", CellTags->"Zeta2", CellID->1445114635], - Cell[5342, 177, 224, 7, 35, "Output", + Cell[5343, 177, 224, 7, 35, "Output", CellTags->"Zeta2", CellID->829124917], - Cell[5603, 189, 155, 5, 27, "Input", + Cell[5604, 189, 155, 5, 27, "Input", CellTags->"Zeta2", CellID->312992098], - Cell[5761, 196, 264, 9, 37, "Output", + Cell[5762, 196, 264, 9, 37, "Output", CellTags->"Zeta2", CellID->494970297]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 8752, 298}, - {"Zeta2", 8884, 302} + {"PrimaryExamplesSection", 8699, 297}, + {"Zeta2", 8832, 301} } *) (*NotebookFileOutline @@ -332,52 +331,52 @@ Notebook[{ Cell[577, 21, 3004, 74, 53, "AnchorBarGrid", CellID->1], Cell[3584, 97, 282, 11, 45, "ObjectNameGrid"], -Cell[3869, 110, 315, 10, 84, "Usage", +Cell[3869, 110, 315, 10, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[4209, 124, 387, 15, 31, "PrimaryExamplesSection", +Cell[4209, 124, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->832889734], + CellID->1294915401], Cell[CellGroupData[{ -Cell[4621, 143, 195, 6, 26, "ExampleSection", - CellID->829028169], +Cell[4622, 143, 195, 6, 26, "ExampleSection", + CellID->566991432], Cell[CellGroupData[{ -Cell[4841, 153, 95, 3, 27, "Input", +Cell[4842, 153, 95, 3, 27, "Input", CellTags->"Zeta2", CellID->1322156795], -Cell[4939, 158, 241, 8, 37, "Output", +Cell[4940, 158, 241, 8, 37, "Output", CellTags->"Zeta2", CellID->1170410673] }, Open ]], Cell[CellGroupData[{ -Cell[5217, 171, 122, 4, 27, "Input", +Cell[5218, 171, 122, 4, 27, "Input", CellTags->"Zeta2", CellID->1445114635], -Cell[5342, 177, 224, 7, 35, "Output", +Cell[5343, 177, 224, 7, 35, "Output", CellTags->"Zeta2", CellID->829124917] }, Open ]], Cell[CellGroupData[{ -Cell[5603, 189, 155, 5, 27, "Input", +Cell[5604, 189, 155, 5, 27, "Input", CellTags->"Zeta2", CellID->312992098], -Cell[5761, 196, 264, 9, 37, "Output", +Cell[5762, 196, 264, 9, 37, "Output", CellTags->"Zeta2", CellID->494970297] }, Open ]], Cell[CellGroupData[{ -Cell[6062, 210, 89, 2, 27, "Input"], -Cell[6154, 214, 200, 6, 37, "Output"] +Cell[6063, 210, 89, 2, 27, "Input"], +Cell[6155, 214, 200, 6, 37, "Output"] }, Open ]] }, Open ]], -Cell[6381, 224, 31, 0, 29, "SectionFooterSpacer"] +Cell[6382, 224, 31, 0, 29, "SectionFooterSpacer"] }, Open ]], Cell[CellGroupData[{ -Cell[6449, 229, 270, 12, 31, "SeeAlsoSection", +Cell[6450, 229, 270, 12, 31, "SeeAlsoSection", CellID->1255426704], -Cell[6722, 243, 208, 7, 56, "SeeAlso"] +Cell[6723, 243, 208, 7, 56, "SeeAlso"] }, Open ]], -Cell[6945, 253, 23, 0, 41, "FooterCell"] +Cell[6946, 253, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta4.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta4.nb index f323c3471..8d0d9acd6 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta4.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta4.nb @@ -11,9 +11,9 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] NotebookDataLength[ 8469, 292] -NotebookOptionsPosition[ 5602, 202] -NotebookOutlinePosition[ 7553, 256] -CellTagsIndexPosition[ 7469, 251] +NotebookOptionsPosition[ 5601, 202] +NotebookOutlinePosition[ 7554, 256] +CellTagsIndexPosition[ 7470, 251] WindowTitle->Zeta4 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$288788], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$289813], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Zeta4", ".html"]], None}]}]}, @@ -116,7 +116,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1961085994], + CellID->848652660], Cell[CellGroupData[{ @@ -126,7 +126,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->396976497], + CellID->182531739], Cell[CellGroupData[{ @@ -202,8 +202,8 @@ Cell[" ", "FooterCell"] }, Saveable->False, ScreenStyleEnvironment->"Working", -WindowSize->{808, 911}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowSize->{725, 750}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Zeta4", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -215,7 +215,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 7.597953}", + "built" -> "{2020, 6, 20, 19, 12, 39.208074}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -243,14 +243,14 @@ StyleDefinitions->Notebook[{ (*CellTagsOutline CellTagsIndex->{ "PrimaryExamplesSection"->{ - Cell[3466, 103, 388, 15, 31, "PrimaryExamplesSection", + Cell[3466, 103, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1961085994]} + CellID->848652660]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7325, 244} + {"PrimaryExamplesSection", 7327, 244} } *) (*NotebookFileOutline @@ -258,42 +258,42 @@ Notebook[{ Cell[577, 21, 2261, 53, 53, "AnchorBarGrid", CellID->1], Cell[2841, 76, 282, 11, 45, "ObjectNameGrid"], -Cell[3126, 89, 315, 10, 84, "Usage", +Cell[3126, 89, 315, 10, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ -Cell[3466, 103, 388, 15, 31, "PrimaryExamplesSection", +Cell[3466, 103, 387, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1961085994], + CellID->848652660], Cell[CellGroupData[{ -Cell[3879, 122, 195, 6, 26, "ExampleSection", - CellID->396976497], +Cell[3878, 122, 195, 6, 26, "ExampleSection", + CellID->182531739], Cell[CellGroupData[{ -Cell[4099, 132, 75, 2, 27, "Input", +Cell[4098, 132, 75, 2, 27, "Input", CellID->2145953237], -Cell[4177, 136, 220, 7, 37, "Output", +Cell[4176, 136, 220, 7, 37, "Output", CellID->295183914] }, Open ]], Cell[CellGroupData[{ -Cell[4434, 148, 102, 3, 27, "Input", +Cell[4433, 148, 102, 3, 27, "Input", CellID->1074821223], -Cell[4539, 153, 205, 6, 35, "Output", +Cell[4538, 153, 205, 6, 35, "Output", CellID->1685714215] }, Open ]], Cell[CellGroupData[{ -Cell[4781, 164, 135, 4, 27, "Input", +Cell[4780, 164, 135, 4, 27, "Input", CellID->654832119], -Cell[4919, 170, 246, 8, 37, "Output", +Cell[4918, 170, 246, 8, 37, "Output", CellID->1077677758] }, Open ]], Cell[CellGroupData[{ -Cell[5202, 183, 110, 3, 27, "Input", +Cell[5201, 183, 110, 3, 27, "Input", CellID->1145501275], -Cell[5315, 188, 221, 7, 37, "Output", +Cell[5314, 188, 221, 7, 37, "Output", CellID->1493857494] }, Open ]] }, Open ]] }, Open ]], -Cell[5575, 200, 23, 0, 41, "FooterCell"] +Cell[5574, 200, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta6.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta6.nb index 11f68731f..7d722a0df 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta6.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta6.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8548, 294] -NotebookOptionsPosition[ 5626, 203] -NotebookOutlinePosition[ 7635, 258] -CellTagsIndexPosition[ 7551, 253] +NotebookDataLength[ 8496, 293] +NotebookOptionsPosition[ 5627, 203] +NotebookOutlinePosition[ 7582, 257] +CellTagsIndexPosition[ 7498, 252] WindowTitle->Zeta6 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$289218], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$290243], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Zeta6", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->1939507788], + CellID->1759555206], Cell[CellGroupData[{ @@ -127,7 +127,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->998988119], + CellID->2031394107], Cell[CellGroupData[{ @@ -204,7 +204,7 @@ Cell[" ", "FooterCell"] Saveable->False, ScreenStyleEnvironment->"Working", WindowSize->{725, 750}, -WindowMargins->{{268, Automatic}, {Automatic, 20}}, +WindowMargins->{{-10, Automatic}, {Automatic, -8}}, WindowTitle->"Zeta6", TaggingRules->{ "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> @@ -216,7 +216,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 8.764818}", + "built" -> "{2020, 6, 20, 19, 12, 40.209640}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -234,8 +234,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -247,12 +246,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3492, 104, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1939507788]} + CellID->1759555206]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7407, 246} + {"PrimaryExamplesSection", 7354, 245} } *) (*NotebookFileOutline @@ -260,42 +259,42 @@ Notebook[{ Cell[577, 21, 2261, 53, 53, "AnchorBarGrid", CellID->1], Cell[2841, 76, 282, 11, 45, "ObjectNameGrid"], -Cell[3126, 89, 341, 11, 84, "Usage", +Cell[3126, 89, 341, 11, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[3492, 104, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->1939507788], + CellID->1759555206], Cell[CellGroupData[{ -Cell[3905, 123, 195, 6, 26, "ExampleSection", - CellID->998988119], +Cell[3905, 123, 196, 6, 26, "ExampleSection", + CellID->2031394107], Cell[CellGroupData[{ -Cell[4125, 133, 75, 2, 27, "Input", +Cell[4126, 133, 75, 2, 27, "Input", CellID->1856484468], -Cell[4203, 137, 221, 7, 37, "Output", +Cell[4204, 137, 221, 7, 37, "Output", CellID->1728558046] }, Open ]], Cell[CellGroupData[{ -Cell[4461, 149, 102, 3, 27, "Input", +Cell[4462, 149, 102, 3, 27, "Input", CellID->1282246417], -Cell[4566, 154, 204, 6, 35, "Output", +Cell[4567, 154, 204, 6, 35, "Output", CellID->435632762] }, Open ]], Cell[CellGroupData[{ -Cell[4807, 165, 135, 4, 27, "Input", +Cell[4808, 165, 135, 4, 27, "Input", CellID->206823002], -Cell[4945, 171, 245, 8, 37, "Output", +Cell[4946, 171, 245, 8, 37, "Output", CellID->10434320] }, Open ]], Cell[CellGroupData[{ -Cell[5227, 184, 110, 3, 27, "Input", +Cell[5228, 184, 110, 3, 27, "Input", CellID->1474562519], -Cell[5340, 189, 220, 7, 37, "Output", +Cell[5341, 189, 220, 7, 37, "Output", CellID->169368657] }, Open ]] }, Open ]] }, Open ]], -Cell[5599, 201, 23, 0, 41, "FooterCell"] +Cell[5600, 201, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta8.nb b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta8.nb index 9f4572d81..f808d8577 100644 --- a/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta8.nb +++ b/FeynCalc/DocOutput/English/ReferencePages/Symbols/Zeta8.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 8553, 294] -NotebookOptionsPosition[ 5629, 203] -NotebookOutlinePosition[ 7639, 258] -CellTagsIndexPosition[ 7555, 253] +NotebookDataLength[ 8497, 293] +NotebookOptionsPosition[ 5628, 203] +NotebookOutlinePosition[ 7584, 257] +CellTagsIndexPosition[ 7500, 252] WindowTitle->Zeta8 WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$289648], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$290673], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/ref/Zeta8", ".html"]], None}]}]}, @@ -117,7 +117,7 @@ Cell[TextData[{ }], "PrimaryExamplesSection", WholeCellGroupOpener->True, CellTags->"PrimaryExamplesSection", - CellID->2052156981], + CellID->1203863233], Cell[CellGroupData[{ @@ -127,7 +127,7 @@ Cell[TextData[{ Cell["(1)", "ExampleCount"] }], "ExampleSection", "ExampleSection", WholeCellGroupOpener->True, - CellID->1492914518], + CellID->379145499], Cell[CellGroupData[{ @@ -216,7 +216,7 @@ TaggingRules->{ Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 9.877153}", + "built" -> "{2020, 6, 20, 19, 12, 41.211760}", "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", "keywords" -> {}, "specialkeywords" -> {}, "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> @@ -234,8 +234,7 @@ StyleDefinitions->Notebook[{ Cell[ StyleData["Input"], CellContext -> "Global`"], Cell[ - StyleData["Output"], CellContext -> "Global`"]}, - WindowMargins -> {{418, Automatic}, {Automatic, -8}}, Visible -> False, + StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", StyleDefinitions -> "Default.nb"] ] @@ -247,12 +246,12 @@ CellTagsIndex->{ "PrimaryExamplesSection"->{ Cell[3493, 104, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2052156981]} + CellID->1203863233]} } *) (*CellTagsIndex CellTagsIndex->{ - {"PrimaryExamplesSection", 7411, 246} + {"PrimaryExamplesSection", 7356, 245} } *) (*NotebookFileOutline @@ -260,42 +259,42 @@ Notebook[{ Cell[577, 21, 2261, 53, 53, "AnchorBarGrid", CellID->1], Cell[2841, 76, 282, 11, 45, "ObjectNameGrid"], -Cell[3126, 89, 342, 11, 84, "Usage", +Cell[3126, 89, 342, 11, 85, "Usage", CellID->982511436], Cell[CellGroupData[{ Cell[3493, 104, 388, 15, 31, "PrimaryExamplesSection", CellTags->"PrimaryExamplesSection", - CellID->2052156981], + CellID->1203863233], Cell[CellGroupData[{ -Cell[3906, 123, 196, 6, 26, "ExampleSection", - CellID->1492914518], +Cell[3906, 123, 195, 6, 26, "ExampleSection", + CellID->379145499], Cell[CellGroupData[{ -Cell[4127, 133, 75, 2, 27, "Input", +Cell[4126, 133, 75, 2, 27, "Input", CellID->1703408912], -Cell[4205, 137, 220, 7, 37, "Output", +Cell[4204, 137, 220, 7, 37, "Output", CellID->834197268] }, Open ]], Cell[CellGroupData[{ -Cell[4462, 149, 101, 3, 27, "Input", +Cell[4461, 149, 101, 3, 27, "Input", CellID->338259293], -Cell[4566, 154, 205, 6, 35, "Output", +Cell[4565, 154, 205, 6, 35, "Output", CellID->1014223200] }, Open ]], Cell[CellGroupData[{ -Cell[4808, 165, 135, 4, 27, "Input", +Cell[4807, 165, 135, 4, 27, "Input", CellID->576611201], -Cell[4946, 171, 247, 8, 37, "Output", +Cell[4945, 171, 247, 8, 37, "Output", CellID->310609169] }, Open ]], Cell[CellGroupData[{ -Cell[5230, 184, 110, 3, 27, "Input", +Cell[5229, 184, 110, 3, 27, "Input", CellID->1121680981], -Cell[5343, 189, 220, 7, 37, "Output", +Cell[5342, 189, 220, 7, 37, "Output", CellID->120897136] }, Open ]] }, Open ]] }, Open ]], -Cell[5602, 201, 23, 0, 41, "FooterCell"] +Cell[5601, 201, 23, 0, 41, "FooterCell"] } ] *) diff --git a/FeynCalc/DocOutput/English/SpellIndex/_s.cfs b/FeynCalc/DocOutput/English/SpellIndex/_s.cfs new file mode 100644 index 0000000000000000000000000000000000000000..5b12b661f3e905ca728966f48215e6a3444ae3f8 GIT binary patch literal 875811 zcmbTe4Nx0te$f7(-J~hLRgk?ET<(zVF_Ug zM+h&=v4n7h`?s)XJb9D5t82SOcT3&iOgliFHMbO>(mQ{lB%FFSP6LG%{cKX1r>a z{4Q4H-)5}J-4?-D(bh~wNp28YycLAFJkG{CuKBvx-Si+wR8jPdBR3%`>A`Ebeh|6) zi8m`g|2l`SccEQG1nyoEXHk-Tp%X5PTR&?4>U9@RVQm=+x?cNpSeDm_s-#$5`76nx z^s_dl9SK}r4d;9;Y0cDI;k7s6&u_P0iXGb!Cz7wd;p# zxN#Qk3DqMTm3aWdYs!LE+flKgl&N*lub@UTe z7Ft)Zr!7q?L_rYb1=5bBC);S5xH6<4rP&S`L-wfkTJciVpx4a%f73&^9 z?7;F}AfW)RY2-c~MiMuKy9s?z*G{77Ue&#p`a?8?8wT-*Eu8vuRF%6}tMUg_Q~n8O zSN@pOl@wY=qs()`*RYOW+?KnM)cDk?*KkjKUGUB@=|BVcNfhhC%iHS1hpkR`RggTr zt$LoTqsZg>(C74gEwAEUJjYZ~?&eqYF1hU)#rHmM4I$mvj=s3{>zqwK07CpTMpcG6 zo6;jErKOq@9j7Sgvc}jN3N9GP3CEaM42%iSn2~6Ah1IBm4uc4QUX={(Aj0VK5J85}0dsE?UM9kj9eKGAy6Us+vpTG+!!OwQ?7fCOT= zmxjqVaXifqiXq0=bT7dSp&?6%Hvh7_R31Qi+(nxi@aU==kOAlG!fy;DRhW$ zd4|egdE4=`A-RYBm%1j0=x6)voD^sJ)pjXFM)?qL9&e(9qsmGcPBR~-<@b7F_sSAIIt2f!QJ~X+>k5ZfaNkr)7+eXf{(4U z`W6m)g*o5oDA!AZ3`cvI9Ym;`OVBy8E3Dx`j`T9Su#Seg z1e4)NmW#vbNb&R7I(mAhOyab2)SJGMZ&;{XYDiwp6|axeoV0@PcHlAR355Z>5r8G% ziNrfWeB15m!VlVkIW(m%>pB@M*X1ypMjzk$_|@%)akNcFa0ePxn+};TZ}y`QnPc|J z0gaPRq90lvauoUQI>mP6auWHm?(ykg7De2x>Bcnu6A(Z#Sj2Hy^C!f$f`KBKY}u?F z07_4x*WTAht^|tX7)*V_xqw-DhV8o@vF{J#}ceSm_&p1 zj~BVa)VTo!i@LT7mUKJvzWmf!&qFAKP8UcHjiGUn@ZZh#AaBfBmYYFjoPi~1=r3Wm zn~kvZXo~4!V{DvFuywucU{!>4k*TUh8fG`qd^IeB2izWVjo|A$Y#X=k*r!=u>|+PG zwiP!Vt-2*DsVg|eJr1>4|Mp*!Nv9olcp#v|A6Z||`KywY9ILU+* zkh7z9XY|?%JU@h2aL&G>&$9mN9uxtV?T+I1>TRY6=W#E$%j_{(;@xKsm_fY3Zqyty zd;A8l$Rp;M=@R1H4hf?Lv`Z%No^&8}p;2HiYnAgfpk}Z4@at^ezGP3~1-dDPssfe{ z%M4EAY2YVA;vO2sIUE%iQ6KI^ew?Rscmr3>;~?qgkL?8-Vmt7$eE~EY$10t|aWakf zaqR|O#1Zl`duEFcfe7e5pE`eB=iK%#+NZdAc154JlYaKdd*a-u3_xPhWWtSCHu*Sccpx)ZA3glee|SegVzF}x6H`M-nnM$485fuls24$lPF zXNs~>Cc!U@J#5R(cJcO<{N*Uq!^~A5dqDNHjk$+CaUp8?aFQ7#QDzB^F`wyr7_FhS zeBIgUamoQ{2hF2Vnqe!#xYo})zaGQSzBxo2>}%hhFGiSt)QwuhzX z1*Px3;nGb|l9rfx^OR>+h_rT;FUTEd{OqQAzj{DRnKS2dXh&E&)1~*-Oq9Y?`(&lnaN|krKaoTnurEiVnO)kMNwe-i^$K|uF zORXp6{)+aBK*h~neNH;TK`QL&GZKYYg(x>(-Ai{X`%t%SPliQ-cg@|6QKkRF_y;{o zOo=PY<{rxm+BUcDGXc{f={C)&T}(gUZd-TU-URJ_iqf8@&iVz*gaBGy4>!O8g$ipl z$_CL0aGM>*(^-+izJ1SF!In(BpG5)=pJ4m4yr9t@+ zAK_zsYsS6pDAa+tmI`u~Ul-@_4AV~HO;gIIaL5L$lfb|Zg&wJ$-9g869=qdG2Wa>^ zXbh(a)hQhmo=-xMedyx;Nu3CQXYs zCWUqqQKrZk3E=_(ZOJc9)Mrap?e~Vck&>XegVU5s1LTBTuk&_`Q{L&?MDvoh$1-GJ zwjP>x%xmUjI_`+U%8a{q+4<&^k`1}QWqDs8IYKEliG+P_-rH`?ct+433Y8_yqhONM z4xCdD$STgEptT=}ec80)4c4ug3f{2`?dO7I+ZJKw%=>&nI3`)VYwL#PvR6DC!TYvV z<;b?8^f(tSUFw0kVCi7COgm&p8YMg20v9(;p)@0iYoi`d+0x^qP{^6b`ioIqcRK^-*(@jv`YaxEJLSXoSM1$YdF!^^ug}3+ zz2C)Ty<>Fr+9q@4=s1^fBqY~-=@9U@Bs+mtxcXiu(R5@Ulncs)Fo*J-*ku~h7x<3L zOJ|4J4?piKk6+#4m-IYyj2=uej{yn5X=Vn6!FWzF+EitiV?#eyg6C#XiVZWJWW^Ox z!_3y1q`rM-=S=SEHapN3@h&^_C@J|{R@@o8pZ0o!LQGA%*Uc$3sAp;yIc8eyDeJwl1JgAp?ZHmh8aC>dLACEQ z9bN47g?$lU!iQ$o*4$Y$LpznAvU)LJxm4MF!nF)lb06l) z*KmmQTgLf0vhcwc3G;qtwr&fww>dh=oa$8bbdTG=%&j!+R*#+Q;=)|IDSM$C&9qH( z1<$Z!gQPsGBt??)SmhWlT+HHpy=T7utCfoj^>v5jpze#88RnzsgXJ;x(6@#Hd?y#- zw#5T9&W_WHnzhO~^whCf|HBM^c2eg*zu8cb4sBs9*1A58@Zs}M#@H`s$=6YCqjIMy z3Q$a%PC;W=$gZ>jMs1ocFjd~yy=;Mfwt$Y%AuNY>C5ZJI{An-BvjL?;`J|g1aEIJ- z$%|?=y8vbh?kxX607pH0?WgK>Xf*O2r&HM!pGdw{EYFaL&UzPafr@ zL2jk&_+r^zsYb5EBp*WKozGqCy|uEgus<$k6SU+f)hh#6VM>Vab^6M+=va52msX%b=QXp$uZ zpsI}uLsG0NM&`&6sQR6*hcmWNNu;`iPAfS^)}N*E5PqV9qk4 zC%kKbh>S7)OwK$c96D1s(j_r2Ba$=~!YGYX4HccCPqAyllA!r4@O?yoaXvDaP|@R>*K6zMJpi$FHT!PlPe1&pHd{=g4;GYpe1B(+#%ZJdOf7vkCCfE*T}u0EumZ&Ekp+ zEBK!|&&YiQETY!>2$APe7wVQmTegNf7?KrEm}vy0|YYDpqj@gxNPwZys?uE=(`F7B5^9B@*goT=|vVIVbzzwXQwPTGNq8WY$ z?+T<(ik3{VGv`(nu@+^VJ(Vb!X^$xk;JS_aEv_$SJo18Y}pYo5XnK76q!+T<>!ROxG- z^N!mRCFAa6ZQw$V%-1fcAmlyAo&@L@`IkVkp9nF?9vp_6^{Y;u6{- zH)HGw{UxVU-c=h9xo}C3W8acI`!EA5Y|A%A`dcU5s~V^bc#Q4jW|&Q)FEO9@3en0W zdbVrcrv0vUwbwFSF~g@_N%z9ll@C_=ymOX`ct%PINhyQs$)$x0ea$oGjH?gzmF1fb zJfoIzQ-*H)2AE*!m@jZ9bYVp9)Lw;3mn+&1&jti*ucq`}2aFy)X_~l^@nk(YAxKhXJ^Y3iyOO*ZY>tV&m0etdbTdQ? znYPVGZ0#P};s```&uvlsITU z7KZoxyN@vdnUeh#MDDw)yH6x!bfL7urVjb;l8#A}P9E8z|3{PE*P> zpwF7O*e>%p?vsW;nCDMW)V|L)OEJDcV<>@hOrLw4%$tsgI>YOJJj4;7Ym;4KeUF#O zXD^?}zyw^yFFxIJI^@;X9y!83TcrEQZz|whNkF7lxvH;@k-7$~q)_IRL!~FCBXi!o zQ`zb4le(Q7+E{60O8G2ub=cM~MYSp7C+%{O-PXu@)wDLE0HS(F?j-a0b->(%V$23R z%4?iM>qWY*)oL!sOR$;l!pak!uhlk}lM~e^Qk^b1U0-T)z38myK!RBFVVfU*;A#-P zHC;p$?$>09;!q;*K5?iYt(0jKeD!i6u&5v%bB2|^W?vDTm zRy9FTwHAj@YjAuaaCcvb6*a2UEwP}`$z^as2q|1tQ{{v$Me4LY<72=$*3P5D#kP|ln^yLfTOwr8W6*5KI= zwb!1sFRBaHZgm1Jmc&sz?h#k?t#ez#R(b1*bSRADuVj0iI@GLY9+WJTa{o*5{=-$gnOo~%fd0c z3fRpf3hF*;nkN0GdDQH#%QE-6aTm_9tIY4)O5{ZSxMhfG=RTGmf0_^ngzoBDdF1L8 zmp9)I*Y{{M$|?p~hjy(U(pF8bYR9|l<@UTB^}Bb@FL5=XDDY8tUY{w?RK}%b*-+({ zc>-n09F9QKCiqdn3YKaQFBD3T9l%lm%Z^q4Ln2_w{&}>=PgCp6y~r$LV__jt*6iN9p5VUH(L ztKK+>9!=p@E`xMB0sf}|_!k0r6V$2`7=RRBVf?s*Y{1dezp&Wlg1iTJ7>4eIMIYqp zf|MjNewJ-#RxCTr2L5sv&y)-(hTR%dLXHK?p=a57a(UJgr_Zj-8S@b@h0Hn3h0k@C zW}WM2HeB4?wb^Uj=9yJjhkL9d=si3;tSpjE$I5$$Rb6L>wJ_}6ut&};SI^)r%n*bz3oArZV?cohxegy3Cfg?Z4R4h1kMZ~_DP zxKLImN5lime&r$_vUTY}w1K+V19=^}0u=(uT}{Mh1ti%sEcfsQqb8G~E>@X1G zLw1jhq97jv|Js6g#QgC(JIm*kDEWd;Du&*>n3h?MDe2Aie_0F;((KT%TUqG1dShnp0=Q^tgQQncTPjaKRDR00YtJy10ly5r8 zLg}-G@^P_KkI^9BEjc*5Yfh1E>p)rR+8AAyx44c2B zW&}YifNy5EWS8^vg!_61-3GV@b%Ezpl5{bRypFHGX_!NGwgK zYSs_Xvv$TlX}ap3rygkjHtZE;L;Y(EZTB8)IE_Lw{~jq2t>?cc;*XazK&DEe|8aY-?Z zR>&=hB>2{2xU(0>WtTj_&nroO%(hR)o2Q${^)2wva@}GUADcRvRU9Ilasf2+cH2G| z1F!BY$0Yt_-L%%Y?Vc7o^vfD9w*c1@dUqy~c^| zA%3T%UtRT%$%IY`y;_HJ$T?-(L<627Q-}dLlj(-gh$z07t&TF&t{!IUd;#xT7L{4- ze{Z;aR#>ynSVxsr%Yhy%Ig(T0nvQV`rdfBu(oYP`Y|1--#qVr)hA(c*Gd$qzj&Ld0 zk4D&>u+gx4WyCY;$z5po1U&K@D7gi5y6xDu->@ienW}m~tKBDQEk@;O+hpmM(&Jt; zY5k4^GKcy~4=xWXdCR1CNl1}l(t4{Kzud*n5LWxZ-7o^neGo4&OSUe zqHyK9BW#Q5Q7~xM?YZi)>hbE>#Z9@RDo+l}j>`J1{oEwUnfFLenm}RIZ#j_0*%9H$ z-mU=VX*v8LZ5>w%$~GIr(`EA{W16eZ!af4~fqEcB+4@P-{`p}%)jZc6s_LrRyM8Qo zgMBoNbM*B%mlICF%|9Rzh<#a;g_v{CG9)}31Kk<4`nv@@h=S}Aj6hAy+)o#oCw_AP z817*82~M=7Yj*74jLXY-jTz&5xP7zdq$FpWwTx*w?)s)U3n*E4RnioJeMn77lkAor z@h-UPM=jSo$d;)Kbza|eZddqQ!+;fZ!ybV>3j1;i*xyX*OhvppDW|wSZCde{`pXyf zAhTm0V)wWMrtfT0zTIx=hd%?b59!C|BTH?7uXTHXbX}XM2SiS-R~K)4LA?32dmYFX z1V?*S!<}Q)L)P$3ht@0#vO99oB*Xibm^@mt993>v2W!(z)?gl;%>9>sWS|2H#v#d40acJ$Xbz`WkxdgQ z1^Y0LjTQIEH=777PeQyiG(w9T%$~2E--o?Z z?68xSvwNlh8c+*o7x`|K&+f>D<{h6LpzUF^f9tPOc`j4dH&fDO}dCPgvT~hGm-MxH%A*5S)S^&7-{NNScyNK+KdQ z1DfQnlfmku#xjNvA+~M#%*myUD{yAw#?qD0Swn;jITz0vq+`50i^J!SFB;&EflG|} z7JQ4oyzj(E52}EFpiWC?4WN=0bLfXvc{ax$qvZJ^k|~+4+o4hNEhIY0)E&~Ni}ket zCLW<~vRvu+4$?g`!2t|tD5rZ~DRw?h3^dkn0gTfCF*AS~rRnEgG)NA-hu%VEw`Oq0 z$@k)%L9hMiL!1Gcwkrk{X`qV7-huN55?i?VgUaeeot&mS9`3&obk*_zzIGHD(ITz|bEij{{(_E)3E2aSsD8f?-1n|@<+q5ki zz*K=oT#Jt6`@5I2LhgJYol|#9`)FRBXTOOHAy=Q+UK(L{O8sSqMIAE_+YHmF*M3lw ztMR+1E-wj&#@*vRRf7LE6?g!GJ^rQwyv>06`5ma>Gq z-@pbYTW&fC#{vF%3hs7jb$TVk#@QgF?kw2qJ7}cxuw}G%!ZqccySje0 zppJr@Ak6P^2H+myqr3rqkF=Zu$fuy~^4Y9q{$ir!_`*nOOq{)7AR=*btzyfZc&|h1 zcdxQpEmM(hUO(HVEMDwZGw$FO!){yic1TOL+vkVQ8~UrEjUHZJHw~BXwE(h%I=DLv zau9Wk6QJ@hGZXTX6tWHz;K@h)7)n#%#_iDDG4rtjrdA}C6|BLP+X{)iT{UY1*pKS!Zjr zf&t8K)X&Sk%3*mDb^{>oVlp@kN|u3&Zkz)I^U{dh0NNHV%$QRj09>`m`i_~LF#F!z zdyDTG=IUPKtfifO*Pt^DwzbO%an)?tJ-xVS_CR3eB*)D%hP~5A4)8*$6Re$S)1+{4 zX&^E~*c)vr)Wf`EY#3%nZ|hdYj-GsPhVMUla&CA5Ex| zSEd~6m1AN6Vnz?O4paWp;Fa&2&VI39=&a7x9|>cnD_p+B(3WTPdBLv-OX}8|3YW*L z+F`^NE`AHq&e!(UrA_NnS{)}H;Gth*!cwfJ{x^SJy8Oof|&4-!^yU)WJ1f z0$!RS0emzEB?lJp#OzrDmBZE%Wk?(rmrT>b99`y@X}V-v*%o8wG)-Q3>l+y7Pdx*x za?BJ()9ev5T=El8{?_?Z5I?GJ>*LOTHQkUo-{08h1U%Yyibn5V>sA&aL}|`6=GgR2 zk|KBu*sOua_BHpReA6l3I@1=fGjP)d%UY}d%9eSG3%OT3-vcQQtCp+7-b3xcGF>xd zD^w@ymgSrp!Cx$yP7Up-a%x-WJU!C8=JarDs5;Ypc&=A4Y|}}6yNCS07^Ycb*rhAv zTch+zvwIEDm7lOk{}MvL6A+yItDvWCyW?eJt`078F3%>;otj3A@}O;Zda_ggf6vPHY>WweB-3qP&X47)=M&c+*VX>PMrT=G?O7=NZDqVZ9U}FTHk2s zJJ){>qErXZ$IN?``{J>w3s2&<{f6~RlXO>!)%j~jwY`fgB(29STcYs5Df{^Z*(oXL z8F9~?uT3bMrNiK*+QRwE8;&7+3^@L{&?^`idg#J{K4%(t1M$t9X6)_Upk73L3+A_Y z?;ZxY*8q5r&!sI#Bm_975HtbiH)1X#ehV~$dx!z|?Xh1iHs?VCcCqVch=I#R&4ZRK zNh@nt4Df5UZ07uuGhr`+5xXTj&Ew|p+xPQT`Kn>1(`4Abf!aMSRk3G}vf+w`q7r(j z?tl_$D3V78E@e7CnnQ->hfaylstMG~8`|5N@Z=Hp6cgbkAGB z?Xe4ScS%!@?Gl4j9VOt_SbZ;eq2SEf3S<=goLRc1tV)w)gq_9DqBLtitlYKcY~M$} zBKn4RK^ZhnYP6$fT9~>NE7@`yqZel`y>*E$yGCpWG+5E@IP?xm zhAYl+zvXS+C}o={xj*Ch2{%=WFFL6V_f-1gPFs6boS82@X$+{l+pyY_2y za?vSKbU@7WgDs=x0OJRI;EP@Ugf6gS{37ZXr#~>D*FweYnf%4An$EHjbB-Iej5Qlb zhJj2Z8VNmey<>YWxcaTjB@sG##xNdd70~{~WiYQI%!KK~eiV^I;0zpZ@%whli-rpPJ6u{q4gq+Hc*OF<614VZDHb=Vvc zyK8>}+8bpXX}`FSMrg|N%YYqpTQ|=RxhKuvA!!}vyrc8lOqGEOZC;tO83;*xO|oI6 ze*Vf@X?wYWQ4A_+rCR_rBI)SDsR8c7vt+uwr+TdNpw0*>SW`|N=>h#akN2E# z>hIoA_MJIx;>?)4o7pcPGcA@Zm$uthJ^nKtW&I5Yp83k*>e2E}8a%rt8zZIfoH85EgzSY9J?$2*+~HwOSf1i?Bn|spmda;ax+jEYgPfyzN<{oW8%U(+K$;J_3!Mh-A>A0p;L+I6A;(5+H@$cSUqA?eTy}8*TmcWS5Iy1g|qpyYZr!_dT*qgR?qE~ zjhREPr5n>1RxZRD!{d4Cz08%)SL|LLZRp}A$~sH^e8{ujxMB%7*6L@?BYNiIsei3t zpVE$`Lplu^OdF=4sUi${7YBHYTo+!pgIlh#KoZgxn`N5|_zyv`TRWF3Y1)+rtTUx2 z`id2N5Z?W3MO?4Lxu>m|X|e>cstg;z%cdQBPB8!_f9ok~G;wwjpMo^&&feO7&VWdI ztMh2f8ugB-?Pvc6UXXSyR~s=aJz`Xd$|*cqGFmfLGEla3ebWR%9ht^`0s2!qRu_^y zpUzbmnoj-c8QbvLanFI>@M1@m<+8xFIX9rH=LS{B0+-^u%!V&HP;YpVN998*CauxR zi06$@wO|_O41a3pg`S!{$FZLGr;MGxuC^xYWB!SA9UNcJexe^ z!7%N(R*fRPbqsY9Kl0ucA%i7JYVO|eCJ?lZ$BFvMM`7IP1+U;F0-1ZK_Q@f6u!sMJ z*&+Wto#l-{P{s#v5AFz&B#)ZQ5 zxA=IsBir}}_TB@xmVtV2V*~TfuLh<%^xnR8vCQw7GS8c5965Yc2@Ctmws26NzuI4ViW{vd89dRrbk%@s z45((MY{hY;Y*ZVuJXt-8nvz$V}t79u~Qc%RQzLT4uuN^RbE)&0cNyj>=mQMmy!2Y2LJNs&`_h zU3Gxpbq+KnZPQ|e45HV|z z5XwbJ7)wNeXb^f&xaFxA9Po1klngV)d&wFqo{qpZIt7e&o*BpR4I~3PeI0nEh+p~{ zl2;~)Rqg}2%$V$uL{xlj@d=ci{yTjfe5zC@Zb~F*9;XtbLu21=#;YWV%b_9>YN)&T z=HhqoTes{fzKl?=4X)L4lF>7G4*Yw&wGrPIq@=ob(HBmm3q2CNydKhVHc{g;_7%u2 zBO&K?3I~AB;U<}AA1Sg|QJyG@Q&Fxd%14UQtSJ8*c)tJ2qASG#b`s-NUQv)8tH0PIu+eb#R0yaBdQ6A%JbW(_yFBVNR}Zp zcMUsr$VtvZaF92~lNfpabq!GD+tg&^cU4J%UO1{lhO+JS^&F(_7W0%LqwU*7<)5-z z?N+Nzv)P=bc2%`mt+%b#{}F;S{teJoFVd|4r|3}rBcm&S$k?>{N097PQ^P@jO~nQg zdXHmaf?yC&-vM+l0Bys`>ABHum_Gs|S3G242;kSom#3oyhd_|U%}b!&gjPUSG^bG) z4fn$)O_n#LBec5bR-(-S&j2pFg(!s$KrqQ=lRGdsAI@ei^a^hD@ zMxXZ~OZ<<@@E-yD{g=?nKO$Cj3*C_{kY?oeqo-PPv$5RhGGx3#>Ns`4;4DD?_-{cF zP6A!QkVGy5$*Y2qNlt;3AJ=32kp}tXlBNRL6}KWoAas_klgJ}oROPpk)%s&j zw{_zNqg}8Se+D1Vjns3ko(RUv-fS2b^U#46Lnb=-_6V6|0vN(h-sGeYV7m=C*C(pF zBPQT++is^sJ9t7)6V=5eJpELXzytZ>`-*RU=ffC%3M*Eo#U2Cel0Y;VE7W)&{1FUZ z#!*$*R7rFRb%t;dTSQpyLKP7{lE|lzA*+_FqE4Y6ewimai=A;IfoCEIv+Y)U8R(F! zs!h`>C{=+cKCGC)_keE@O{4+zlu9sSqUeUAo=gQA9|M}IfEbtOK}KbRNyas3NCnYk(*1L8^jJs z%So!i?1Wgz5Xj?g-pK2xRD%RD$nEa{l{qm39+ev4V-)cj*TJ+?cmfl${=V9=)U{5Y{9PQ zq*x0vo6Bu`~~d)6O6;JBb#jj*3d6wn-%Ibz*Af=2!!H) zSFFL{7<3Rgd;*Uda>cDSGT0z64LBKn0LrHTMJD8WT?Tv2Md*h|sNv-tXth5=IK!k6 zh>1~hv!-bP_2c_-M4k?UTJw9HUH)CFTYF(y{~xg2SHx1alNrLr;twW+JP6c#P}`AD z{))60c^w&K7J$R_KxjyD^|&A}A85-M91$8~uq|k)XdD3_xp!bZ0Mel$G?tKm3O{@? zifDk1&`nCZfC&Br>8Q04aq)>118D%hj6guSH#XrxHacqMuCR6Nt@& zC;9Q4C9%%H5-^6b8$Z1V?*Oh0o52vi+n{^KL>L>3n>@|8ZV|2a704|r0jn1|`H=vn zH5@k~ssOon5U@n_B1fQx#z)YqdeLBfgg~%RV{<()3PYt;d(evnB2}#v@%IS7`Hp6F9SaaJaG%Alb|#HC=z~$@44`MA{{yH%e7%T#2{#%O z071fUq$9K*SOAC`hXqKX1VfjgM+WISb?R6~zI{f7@*j`yxqveg=P`o!Zy;~;Hq^B6 zQQc6t2azoQP*D!3uFin-URSlYO$v+Xv^(&pxb>kskF&6FG4Szq4CdW; zGHe}YR8t|whXNO=8b?6)v=eNbarF9;Zwkpk@W6N9Oe?6LP8h5xQjI1`w~NM^A!vYQ zoH9|2y`XZ#jE#XUT>=5&FDi&EWFdS?gyr0W$eqS8diD+fT6r(wGQ!i_4lx*X3z#i;h?)Oiq%q*u%gHU$aL}&c>gjjR!z}$5qRScdP%9%L_w@Kr9uEJt#uZEcox8;C_SJJ!bXwZ%*Xe6A22j%d>=Xf50@TEI}* z1(bjyhhIP+y2&i8FhZYZ(C2UJyr|q7G(dReyw7QGMOO{*Mk*E6cF4|t2mnJ49K|3G z+H{WVMQRl&ecmQVo#bp$|B0x}^ANN)%GdyrQI&rMn)&ZQ+`rzB5`Z;3AZN7;U3Wb6 z7E8y>BB64;$y?1gCoMPK!E>Zaq?o0NmQBSEG48G5D^r6Y{TFU0wmo`c*J54~b3dfB>}z zit^ZMy=$}mmx}V=s_HCoBcqPZ8dR)+N;YCIcm}@WYJ9RnnMLS8?D zc6k=ity{oQiiK@3{_v3@n>6D4nsYtYKCBu>Ra2PM7!_{RkDdrWY<4_6ZT!o6C^uzj z`EitgA7c&1dGj6Un9B~S(}`JI%NL> zq{tzNj!9}&dO*#n)3hc<`9oM#@7B$kXZ8_rNU(@E*hUcqBOx1>hG)jPiYd=M z`8ti_gL9;Y=p#f_2g_IL3JqGDp1Wbx9QtCF`L5_tj4PHM%6Wr4br@#fcN;ZQqltH! zyi<=TLJr78BXJ+;V2Z`F-jQyZB>hs7k70s3)p6mC#MyRpu_;_I|n4c)R33|j#5Uyc>{8d zj9Ny_VCs-XuX(T9<#ejR1smsyN2CHt~B6scn!aL&SLcJKHJ!zr6t3gNQOo414VWz3beJj z3dh0SIZ)+Zg3~vw91MNjxLywA8n@*SwYq4(A zHvI)q-MRqzAm0RX6Vxp+A#VETeKn!AppkFLGf`30No+LJafiRNe85( z2Pw&ygOWwScTc)$%6QiQ&Dz@swRNudqGzpleQ0S(S`tDMk^q4P28^*y9NV$Iz3q%A zZ(*#sSa1Al&X|+D4Vh=n^MYUQ_B54OJF;@ANT%o-^4=FT3R3Pdf(@LK7P;dnJ^&v zg#izprZo-gV+W>ERS*Z`3tWK&({v3HW8qQo7_M3DG|#ae;St*v9`_jN6#i`v`tY7` zUss>#AZ$x~XGdJDS)+69iu-tWeMp+g0VSkw-WTrQ)!*nZz+{7D>!;*0?LfHCps%tS zd7YbvLuIlWFf@)4>(+Nf7U>bw}_#4lFG z+Y{0(ld^qlbPh^&PLF~*fvg=MZ??tn4CkRwRZs-NHj8{yW3XKY{?*ekFx*fUPB zEL5!=ujsU3bJVSSynmdV!&)c~fuM$US7UMLvh?83wz}O6zOZ31=Di>d0@9Ss<|TA? z25UZAePt|cZQ z6Yp`-C~vU=Zb8`B99o~!Ev;Avl!dcw3K(zw;ukyX}h>& zgp3_AUMCGJ2=6b+8;~W9$^mIakU_UWOKn=P$qv@T)`Tv4Dx&S(E^f!<(85}Uby}H( zFMSJM$S*ggcEH0O5k6?$W$og3sw%WzHG~Aum=WlYaYHYEA?X1D;0sX1_?Y+2&w zq^gXRPYdAF#GTEkY_TGvevPXw3yO+?6A=U^2vB5fV!2S$@|r46%6lN}It0-Nu3rRC zSk5tBb|kZ(6?lv={o!xp4)g(lN3kn`=q+5!018BIbi~kx!-}AN6Trl@Zqm8mguSvA zHs)HmF=Cj&)>O-y=~!+Nf!L-2M2;9X)l#hKMTEG-5Es>zzJxhxo-)McHc3AnT;8CK z%bGh4mvi`{B>B4yt$9S=PIh1$=1u&x&p>ls4se*mSaB^3(}Q)BV;wGRoX`OUaTGjk zLmJlMpVw?!`o^$uWWmDuPe#7Os`JsI^XcL~F0s-rpocCG_*@!s)4@F!R8Q&Y_N6)Q z89`m3bRBy};;CydeF&->9EfkU%Wee{N`$~4|4H(?MW;jC)@F^*DeRh#96QcEnwqN8shXNr#fRB_HQdzEr~S0(kbwa4Mcaxlx<~DMi$Ju-7=>0-tCtiiAN?efHULn zhD^&yS^n3V@Bm^mmALSF;5i*@h~g))1~y{H>w&@iT_ay&$ScU&Ad<9@^OfV@5u43T zzFxJT`&Ixnhgps-@*k`j**el0{u&;}Q|`QcISdwZud{cDZKHM~(pxpLsp@{YOW87^ zm!Xu*G(??v!de7Nhgc%lTb4h0kzFr!JK@B>tt@;(vzK$uIom)6n6U4?9AJ4wK&%BE z<4{Yo5hiw$oc-1eJw<>ZSVqA^?=yvF(JS z@B1Dn(iDMeH5Mdg1uR+YVNwu#=#p6qw0*zlacNyhY@0Gij3xTMh`mJMH(}_gp0mC{ z;ui;b-hwd0Kk5+|n3xxc(r?Om6Y0^y1~_nfgu^n{VVVKKA9HVmPbUk^M#QjXM5OBe zBvhm8uRiFJyV+|gV^{>^-)}jbTAwfk+}g2Y3R+JJKeL6Czp4)UgQM)EW$P242bvKPoJi_5-%WmN*?OmfbWP6 zEjl}3lzaMzAcEaj%B^#z6?vA4UtiV=?DNxx&f_09Eu>lPcoP$TM&I*<^F=7ww zsbFx!lh?;JVVL8$oQvKCU(DT)!M@_|C<~p?3Iezn0W%l87m6aT3L)2#+pPzVJ_^ej zXGBbUS=OtHOBM6wvskMmmAag#XHK(4OjSQ_{;tKUEmdw*0$jq}8kUZonjKG~iq;Q# zKq;6Lu(Wd^gV`1Hc;baBg~9x8uV6=2$5k)V7DkkINT5Xv-HmP80I8}DRiCmLsy>z$ zMQa9kIDzN8BDVQ(otw4Mh9ErL zEbL@`mQiKfA+v(D#D0j$PZHo+d+X0NyEf&U@v&9ob5_LYrHn7*Tb6Umy4Y)lz*e!k zk9gUPkkz7A`Z1lAMb&ZR4BkQ7Vza=qRpr`G*YNXN!b&}sHU}gu{!l;JDY4=jPQGD5 zCMU*^fjAb$12}u>q-J+k46&YyVhz%mO~I<7eVl)b$Qln! zNZ>&512&Hc(L2n|mF1O;t=jWMv~Vi|%Dbn+x|J2-ILj#`P7!qP<~+aVAnwd*X#{y4G;xll zfMLOUeD&*WnmhH2e82ycQ}f8c*2Gg<&7i{CqyxU)e~5oNyXFCI9fm#@RJun|aj^6;PH`%nAErE@aG;5&a$l7f>k0%S(Lr;=bafQL7I8jHOowhDu1{1Bn4q^$Sr2_NC$W5D z$z~r+@aj6JgrQPTaNXJ%STmGA0y_{ZGh~g=-vR^wdmxw`ErAGld#9@I58+t|92U+2+*e`VRZ+t7x zz!S=H!YC(x4}4<87uxWtJj%(guaSmET@mRyacHIr46{TYdL)dpLrWU-6qFIBBS%`c$A$wz9%6TU)lm#L z@45+VBGQwfigYpDe;1_fh5(Y&AucT~P{0$ze$*c4Bk+gfc>QI7gF>9gEG%e%w4_7B z)>IMV92L4X^*}g{;~=JcY}kMp{}qQr>u6@9hJb-sP4$H@WuU=+Gs4|YB2|2iZAcT` zwn1sPm&0&L^Lrp=fI~*?k#7^{Dce>T!D3V3z7)ZH`ZGR{c8mjcDMgKC;Wb|43I+zM zPf?5+wiFPTx5@BIb(q+k0m=#>GvkJ=Z<3{zAX`wTB;rX0j~}Sy4mr4VW@Pr!KSJ3F zV5CpAq??(TYu0aSu{lvOg!ysWw0;IY)g4!v_MB5ymmH7}Ay91mk*iz-SEZdD8wbye z6UH9*mO+HBPZpIT%kD$vPn>1iY|})`mQo^LJ?*|3%bI|6WYbC4t#C!-5nx|qj&d#6 z!g9)bIQE2*DtbFh3&RzO+_=CH||yBJjn}msmB$t!7ShiI`wALDZ!1MMKj;*@WX6 z)oZeB^J1G!gs($2S#9Sc49j9UJGP{-qD)>W5y0XSE<}{63yZE%YX{pBnC4*7OJQyJ z(*GAy*ga#raX`S@Z@n&Vs~b$*sw}`>vW=-(j)-DMm1zX+KoTo`s)$AI@wU7yef}ke zS_uLIs#|dW`vCac=aoo>O9P8+#GS6%F-~$DP_#gyW~wq9@;VO5ajS+ zqIJxlP|-r1;zuPqTI4^_;o(c9h1U3towomF;-?MLLLBw6V>`Vgrds0k7=0Pj&e!Ik z<%Wri%7akj{L6~HL|~h7WVs`C4}$kOi|v6Om>XIf?1&dvDPMxoc9!=+G$a3i8WzEV zV7KM2j6=O+#B$qJq1f2_V7lE>#SGK}v}G{fhB57^iB0$=&WyGrfBa)lxkg;LnX6b7 zu2P%_thg+24#WDC9Ty{|j(!Ja6mjGq01S}yv7w3*Y3@9fhv2`U&Bfjme2F<1HaDgT zBn^I#vwG7!LKmRY{SJ!4{DW+__V`B}F9xv?GF%dtD{VT@Zl}NF2J5;(bh|PB1;X7O zE>w-9_VT0^=*#z~A1)FUkM&kLwA2l}TLByIyk%UPHDkp^wjr6WS>#t=3ku#tWkY?6 zSob(5KRyPb=nP51JdYI(S6LKV0-$Lm)?OHxVXpHgk@p^1Ryd;X#qx=!E4A2JmZO6D zr&Uf3>p~2iz9DOzHlsw+;!R|5VUJ#Q#zic@i{=Fiv7-whHae=yH7Kzu*D{w@Frneg zfG-i629X`p-E!7{*zC3zU{Vt05{gZS3aP3)h#qw^+@G(KZao&t{uo7Kb} zW15RAZ*7_;Ds;oN&plQ(EqwnDKX-B8IxGx+0|ryKn7so(_x02(i{8Q=HeZ$VvE`Pe zIedBP4qLv%R+-Jw z`Y+0_?fO=ExgFMH1Qk&-vYPRY+_`x|+HByz#@c*~=RsA1xxxLhjqf}EqqB%VXU`Fn zGjTbyfy?4_vlr?Xeo^Jiz9OLWi3xdq&q1sGEPSqRPu zHh+=goVyGQ>q(Mk7wfP?UVOwJutzTDJ>UT!^gm{cV!eHZkBEK#4;$viFdpYeMJXku z1U4x&HRr%oG9`Qrni7hR_Q;b1#W?Ai1_;|XLZip zzRHw3tH$M}>LanuKEwv^1gJ~^i`o+)q=r{#xw6E}61_BZX^8bzK4Yk!xsz>Nyqaw+ z5w@&e9Cxobci)KJE)lo%Rjz-N&2ssc`IfjLB+kS6N_5tUPK((yCGKgkuz+Y9Tqq)Z zj5RTF`O?azqR@4|(83Nck(m@|4I&8EPJytlR@T$n+uDcskyaLMWy7s(w3WqL*+eT# zw6av|B$#2aW2SYOo255-@Wc=%iqyx&)}_{BE9Iy5USO-OY`t}(m2I_dx3b+FwX7dZy#Wux$$9Q!kq@G}j3zGaSE7ak4^^(i)oc;SP5OGwN&hQvo%u@!P8Pkh>_ zI)qLDe+{Zya9ta6-aHK*T;Y20ws%5wi;#Bzkvym z@x9U2%+4luvzTSZ}0w{@u!7IBaFviec3iw}tlE&h;LY+k5i*9N#%#3tssTr*gJ zxW~VBo%P&!+>{nRB%1OSRJy|HQqpp(|E~ppPE4DlhJmu;rG^Iqp&5!K$|J?4IH<NYJ0- z-xAo(L*hdpdzDCmW^ht!^*T4uth`;`$})z%m)EM-yqJ0i_3IaryuIy*&Qq7K-vw#> zaWmVvczd$`6SA3Q^U7Jq<9VkU^Mg>xNbKr)ZmN-T|1kX_vpQM4CXLD|-7xNlxB}>5 z3&`c~X9KVckZ-}l6>0y!&cvQ(vxqq4*>=r>!`I8#MtB-9psoSAbmBt5;-6$qD>&w2 za|nfOLLyDCIX>=vvUI-N-gRD=75@}0FPb;mR#WlPl#s32V!oL8@v6Bf>^1tI zOmPh%OvtLD5Ip~2-JCXbz_Wq})#5r}e#H$@GX=iDqR?~z{Qy*1Fe-fe&CC~gsY4Co zU*bZE8Gg6C#}pKv^TQuiPL=O^(~b@IM)iQbL+xPe7Y8qk`|yO+B`%zr40?CA;V>n- zrNo6(!lib(@4Sr!?3e)0@PrTtEg0*OAqT;@vZba4y5AsV2u-_3VR_|J^8^Tnr!mH+ zMGTR3_8(Ezpf)5v?&6<3s!|8!hcRqhtwV2MAc3vED9}tJLMQgvRh4Y{DkS@igBW{{W@Pl_r1YUJe#1M|*F^`Bvb4<)? z;J&ZIAww#A(sXT;O^e+COBEsZynie37?S<`!$$~m-K~0mUid64=0u1L(cfe6E(3=# zg6R~OiuF%Gg~~k&iC~v{KP1kI`!bPCsch~>iBEr9+^CMCbF($srY=K7-V+bRL$Oyr z5<}HnNE_?GE#JeV&54*tO>b181AHM71XUq1CLPH5ym^V(_@jJGe7GQf9*2|e!Qu%u zKL|#oD4#L(n0##DJVL|y8|;ME>d>6MfiT@9hGRx35%`bscp$&V^G%Rj7*K4On{W9k zk@x4(-wz=GL!!Td`u9nv(2wySm;5_sV#uPe@IOvn6hQQkDg~u7028PMaL9EaKu*sj zgsBW6_t@`a0ZW`;zT{toP?+N$Jv`vNaj9xu!VSiyWgM+2Jbcitg~S9-d2ED`q(QwY zZBc|-FDF3L#UHZftJAjS`|ncH?7d#eG(hAn9zEr}%3NP~L{P9=R6`gq!LDgisWhgp_dfZwQB) zZ|O1h%kC#t0l6snK+pTt!v_((#YKVI46a7~z8@A^7Fr%r&*4N=<-ms__F!L5I+LE1 zXVMcrKYX6bPEhFsHX}c;exM7sh8dJVz*ydC7BO!0S_mow4I2I*mKV4&aOsc9VjOi5 zmMgn0N0(@=$jFp!4q*tfH!EYp((n&e6A4JW7Yv8MR@sjs9nscpU2Ibd8+4^HdUZ~T z8nTvSYl+XS6X1+K66-C%n)mS^$oHyFnau!*7{HcEfpvhWZxr?<27Hfx%*YL>9@B=j zA!9f$pQSBmVgW1MT!ZH;QW-ikCXcr_n7wU2<+J zD~5gUE@Mj;mUi|!AXndex1X&@o0dHl@C^>7FIb<6ji2v#bUDmGNOUMGe7D?Y0$SA( zJ@JhI6W~QqY0^Mm6?pkY;0zH&r&SV1<`%e%I1~?}X#I;5l|g_1CPQ}6<7H0w!ORQS z*eIA3lKAxwI1QJ1Kv@gOmS7iAV}h|CAR&DNXrkLz>(7B-Y|l_CJCXA(iT&z9sXK-$ zhjrq&c4b7}u*hZ<%Ttbx0TT-=Gncm6+?BEVgYu(`0nlR2@x#KyQniY1DELd(g3?>v z4Okl6HUzXG_fTEIz2fOdA&UWJlP+-NOhjR`BHJ>mp8y-G-#{MLcs<+FuHn-c%cuZo zF4L&)McUe{_LA+AP#++G01l@qHRm8^Ca`u6sPOG4Ei4WK3^uL|c@pXh?wbt*g&qU0 z0I9=Oh%>)|V@~U5=@(HX4shEYd}^oC8Ek|HCOei2ZKUo8xN#?tuUqh~=n4BzCdC7Iz%yEctWGvp zH{3F<9OF4+JI9LfLJsmMTyl37@~|87Ajwu)lDp6L6?QAh9avqO&dP@jZK9?IdciBl zK)*@+)aKhj2@QdOE(YLqh$oWjIq1i~M zBJICpod<8gB=s`FpF)Mw z+a^%DE8IKq8f+>Z8k~~~+thoT=3l!R{TZjNrFP)mHkWI}vVw<)wq$AJC)73(qaVpf z_~H=!t_OlnR@f!aTEPOT)5(;6jn`gYdHZc}pX*(l;ZflOP{lof{)7CNEXqEuhs(9p zI3+6WCxGogCr5%u+Lx7E$KG-m#N-JDalO^ep zc0to#hGd($vt~(IR;~H+c7&tG_0a<`nfhQIqZIB5HsaVfvhKiN{_5?q}h)IgKy2VkZ7l1j&a0H-l659BYm|}M!&lU~1 z70qQGJv)jES!|uaD+aRAqq;hA&6)E=<(Q!0M2_Z90h=>kVj7&(cch(54GzCdsv-7#XIk5L!cZj2oM~eaeRGX{Sm5FD2HIhm?>L!;tHK735LABE>C{$?EPoM* z2iAFR3Sc|SzQnLB0wTDm>>Jch5S$`$6|GnJvA05-G>+niY$a4=291E3186(;2L=} z#Sk>V29ee&JRIX(uhG|WWHT)zEjxLZ_%#qt%S*bWJ%i3ZX{k%{ zm{-~jb09*DqR3LrjNmJyf--}(C7xs!!;af>hr%LNAp^2XfTDhUv6qgRL)wCuL0@2> zR=Jz)Hy>bi=6QIS?m+^*Il$QfShy&9Q9sD>aTuXv{A7v0huBD|xtNWXXS5JD^>Lqd z>BWVZi>eDvf{X=Q9*9lI<3PBN*4}>p!F!+7VrM{|5lFLZ|2y)Qe~f&EKgSyUpKaE^ zAVG?J6n=&tpTF&9pow?Gh2ms8#yf#z#u=8OG$u}+-oiHwQ>4l zSH;XoSi+v;z=iiCK?+*S#{pmk1^y;r+t)6ZCX$vN#B(IF4h zA@^(9IJ!<{`{o>%!Z&eSUau8Jf?jWJTn5NiHVyOzyrX{xEZC$eW}g=NtkWQs%BVeF z$T`Q7g9=N{f}VNXMdhWIsykZAb3$H|?pAUf!0>`Gu*cFjNM&5D&U;TvPsJ=)=Mhtt z8DYD>5 zBGwxB{0~k zu!+(Pm9sjz$G1t9zvzcE=tPz8hs9tW#2|x*H4)o)>+4n zo26fgUPz+o$1YrIhe80?kKqRt1WTH`Gz3)HY|S3-Dr?F3ZO15nz6IxfUKlsPf!wqV zJX@Td7UIgh!ipYJwIHI`T&1q0wFC|I5LvI8^_wGRScnFeeI@3NAac(NuOtm@rgqYR zbF|5m;=4r)5*MI6>g_ixo!Z(fjBUPhjG4Ig3Z4=o0bOpGA>hbY;XFsn^1xp(5c6QM zsyHzJ-xx+IHFPd^hWx4RQc6Y1Q%m#?JQ9X1=WNfVPa zJ!~SaB^)KDG+6VIDr=d(vF-jOR@33$aiwPz{fcCRXYUA zv-ZV0+hGq-jSLe4%kFE?VN0kO+GCy%O7HkXJo~Q@4?RdW`&BGhix3YJry4NrHL5BP z_T7WZDAeApz9Fg}c@}h37HvmED1zweUr!p7rZu%p+r@5!XR=1%YG78on~~wk^H{XJ zm}`)}?kQBbV}tUbh~!K5w^pZ>X6~`hv#7j$RG;p?2efDcx-^jm0U z^tvz91A!%Gjm;x6W;B2A$o4RRAiYpT8k*Nb* z!rpCVixL=%UBg&z(F#)1tsBf3|0xdehED5B)#imwZoH=3b_BQP2xN1qM4i4rRz>)w z*)q(Fh#c}d^}0lC#xr)F4D6h?r((@paxRqb!-u8aE}UQe2Gz71HwHa@m3vycbdb^7 z6@4%qQYVE_i3`xzn=DuoV4c>)bKRq~|LJQCqc>W?0=oLu?^pt)&4bzl$DRR4yJb{c zLID{JZro$Oj)i~$v0z#}YXxPZY(-$dfn3OE?T;$THK59%zoYf>L3$9>oBH$8-|KyQ z^6qPYCV1?W;*f>$s#x{KA&RX*qerDY+9`lA;@uHpP<{x_5^!$2R%WI4x5)90L;Vie z^cC;LvwZE?|MrLG50V0k^_iI#fW^{AJ1%3~lCuH9OztiuJoINd23Im;e`>I5`gsAR zEwlbmt*{<@=M58j@8O4G7BLOd6Ie42dJCu|e1!L>4NwTyW?nXTsDF%XgK-Kt$EsNX zt7)5eqNW{xC!pe?NFkQVRN3~+le9-Wyd*>78>M4ly;!!EYiVpKa%|3$H4FgYzr=hG zBi=#$zDpd&>$-7ECS?TeNO+pAi8;P^fgke*D#sn{NIY;L^_g5z$eMS2i&AQt}wb zuD}Yoi4%WuACC<~r4?{LHxf*-4AKkIV%%4n;bBGEAiu#+BRT6Y;iu?9UN$kNcV8h0 z{zvQpwCM$8;oltO(maf))Akk+Yn_~USq6tfx2dH>r_SyU@Nj+rv(k+q+H35ukYbO7 zX={(oZH+@(VkC|tWW0%|H!JN6KUwebUi`G+<1BykP)-A(wPRqr^|1X1PQ-me>Z({S z>%&?8}y(@Pq(1o=(+YR?eIQ!iQoRRQCvcgA}cPTw{D*mPXhW^c0>FH!Vv&wQO0 z@zJx0VutM$b{b;c_NXCqWBSr?Jv>3Z_NfZCRWT!NS1ogW_OMg87-6f;8CC=`2-X{@ z#zXiLoAscJluhN0Lz?u&{JyQsXl>d!0{Z4++52>rr54mzgdbD`FM)!U!-gP#TC(y{ z6ksSaF=CuDR^ip+o-Ucx$I|bX?JQ@3qw1tRASU;`kbqLlo41Vb--9M9vT62nc00t! zhK0fPq&NJTD%AtfKL#mFkN)S0se0>kAC0m0AVgGncZ7FRoEOqIVSyTQ}l0I zGv%T3q@@X%HMqxMvqzA~f^BUGellRyU@Z%5%ZwZi%;SCb+JA?|)~-acWNlsStLd*< zboDvo{)GQPoyC!-P4IKXgmEPY+p?FNp=D&QyihvlrlAYgV>x2n`@*<5&BS%Oos_s? z88=ZeuIEht1E^(N;_{Cv?-H5+7Rt;0T{&`>$%r`VP5k!XY=d}kfW$p{OYW8u@}|t* zNu&5NmVW*ZjOBI+sb7XQJEN-$IL7k>uAxxZiv7U+BcoLVP?UAqU>xu8M^ziNZ$ge# zXN+M5SlfaRs*t?o+ptnG(!Fc_!p4<7NB+t__FHc_cI?&!oG2$$OJz!fO2E8poDfi~ z1;BB%n6PDsYmSBFO;5zhV!lBmYWR-T&s8o|?O$VEm)MB2;HJuwK=t) z0d8pI^76}5IBXJ%$Qs}Qn0Z;2b&gk%Pj|=NdO7FZR!W6bsHW=P%QGljavPHqJA%B& zj)q*-#?$EOKZeZ$x zP)sYUJPcZWDF_hbzGut@o*;b?QU{0eJ_S z+b}d3l1)KCU-H{C5v51Us_Svwkc`XzwOXP$AoE%8^)a` zPzh_w_OZSNFQ}Zc08Zm^cxkdFOvV8~;rH~-r~!n(wXg#|#1MjSnFgPYEpm8ZX%6{7 z-NKuD!Y;?MGP{JW+36WkG&ixAiPi1sVBn_ps|l2HFC1*kF@<=+Qk!YsIUMu2qe zIFoIxTHyeYOljQ!c8p0+?_%6#%WZFkd8$y+S20&fm2GpEHyT$xoo0l}xa&*8<10a= zzhe00xSf+zZLseFE2!7MJ$^Y^)ed^jsLYniQdKN;g{tAk;qU)CXEf}66-nDDikonx zyadVk|FdN)PW22-WRl7$`ASxvRoS6AEq0$9^&$@{jT2rb&8+kkvnF6)shN`~%o2Gi zVcM`H?P;}xOFP9Z8?S@JG!MQ62JF0Lz?4-GJ_#BU-0$=JnuqO4@SIZ(kJ;O>nztLF z^(x2GkZ!_gc3)U`#Op^dy&O?;IfrQJt5K4lL&~F0?&pz#@IOIIGW-(0nKXsZq+ZIN z%biQs?K*>H3(h?!QX);iW8{w^q5xx`5LVIq1^%kfi|VH=VyrLT}f1EN|}aa zs!gdMOB7A&ikj_uQ7p3};RSdcx%>yk7>^BPVDHY-r%AdaqxcxO%SlM*b5EX4FF za4&=3FYvHenm$ScmPi#@pv_WAmcIurNXCc@?=(O(;%FgpO29J7K3$ckrA75SHm5af z0und_OXyJ@z!&wx@}{|WXnj4 zuKmmy*tX*c#g9|vTMFB02%nj%YxfRH2e{s#!cG*b31Hke_za#sB)vIYHSO&7;#dIl z=pzDe6XN_gw(NfRD8~5#@uoYcnqeHj(0&(YG8IGtYV@=%Q~A~;#lBHulj2GxufU** ziUF-qVIQ`k#~<|{c@M?JE1ns zf;!7G^nxZu!1eU=(MwXuK>Ngqra6f}AoS=I&Fs@-J*JjX{tIlH|7CGm6Ez5nYVK{W zS8P|vKq-x)u=vP-?H+y@095z z$5%fgNPzZsJI+o$?z;5`-NElbbpM8doLqM6fjZ280W$_)x4^QICk3B+q+fWKn2->* zXP=Y`3&5{5g&{C(8@J6!S&_|2Bh6hEtk<=o%{ueq0A|u&sfM~J;s&V_&u-;VIg3cW z7>iBJ%!s!NC7ot&Whl{L!Q>LqoZmR zNC0D38Cw=3>Y$Y!T1SluRP((Z;wYF*?U?&K&+UTg;7tbw3?>j2hBkug?T;W!apo?# zhJJv;#k;E0daQ1mmkbD3M7a-Hj{;V`29`$kXx1ZsABpbmo_(mF1ihHXKX!zwX^?v3 zY|RGs3hl9N$S|$H`yR3c;LLhD;AuB+W6LJb-l9FwwnU#e36-jybB!Ul3eFv-_Cm(> zHNelb2~=Rp(8I-$J~?YRu#d`c^AC7NJ-e6YgfY(-RGwiF!*|da6U}zn{!WwjP`?BH z&>IqqiwG`hC>4fjw8#Ayh~90GFl9aM)p-+~w7n=ln8&C^Y9*V&1DZE=dh`Ax7Yo%K zG>*3f4RLet>EgL>Olc$PieX*NqL&QA!hwZW;3L=%u-}oJO77!1thUCEYw`0(jd>i8 z^+7QU*pM_$?;UXyDQZ!uPKQ#gV!UFQ3nDg*P*&2?Q$J{=5_!92C@M2*9G6BBR7Mw$ z@cM7*_y1fw%g7Deji6!*&}J2`4>pu+M&vv~a{Ux0lhjabn+ASCCj$+$^kTkXu-(!LM2`X#K+}*tVTuU-(oN#{lOa^pEAnU9@}kMFf5Zz}w%60hKxPiAJ&kWZxV*xPNmQWj z05KQ2KhQ?F?^((<%$#0>v+Vm&=m)E4!lkrf4mk$n<|F-K%$#}A9?~Nj*l7+nQJzk{ zVkx)IR?*=`uMa3WYtlMgS-3J@H&F*GWZ}xe)%mI!cMl2vem-THHpWFAN|iRiiCAhu z0hA$d5Plmf_70BJXKSxz`&CrFt?z38)q$%$T;ytxv%?dp4ppb@iMmkrel-EHn%N7G zn5WMXF4(!oza3-sgxuOy*nvp8=@)sS6GIX3 ztp#Jb?Ig?^zA*gCXj#Th7Wc6`sj)Wu=V4EzdQ#bNp-6}WZrceMn^V8J@J+gPd&_>?I}e9kt;uVcb3RcC9L zt5Ml+qnf46Y+TAaqW0BlJtt#D`e7L_oD2t2AyEooiVu`Dvq@h5*$QV_?3E!BM?vw6 z9UFWwhHY`YHekeRwdA2%gA13yNy7GPSkT7~o$Y6-*cMB)Oeu4YLuKZ2mv5rB+ZXpG zd}L?B{kBFCJKfUkpy3msn||JM@D-r+$EnS^&H)EQy*tBJMOdCWaPs^%yaRtDIjw-v z!56s6&4}H?E|_`{H5sw%>P80$hV&#jq^C{#HqQ;|70UXrPJ_W<*#VAHNw-{s0&?1^ zR7;O-tSovd-@=e`k?{>R%qfSCoG<9iD~LpuEYp5*qpUfI^*HYa_LN!a5V-+a{ft?O-+=F<&p>PF*3F7VL<=Zb-e#~%CHW#lT z{Ku9Xj*-m)8)8FVxsA$`rk$$x3ti^Lv&9=>A2gV@8;G678Wo~v7-9(%Fw1dD(H$%s zF>lsRI=k7bHVJ?1khrd8E7;N%>MYc$X9U|~zU^|h0Q~wA%5E#uwplDsU$U@q7>mV$ zkacWnRLcwdrEhN6t=Kki>%wG^pS?X&gC|TQ`ebrppRjGfXj^GvC@XkwvL<&fThnhx zPQ_APv946BvRJoTrz6?ht!%w+`-;x{P{Idy*rQSpKjekE#NhHRAgXU~!~Fp9Vp_?leRn&rdM-Ym4HQPsz@3 zuW-j49(D)!8u`H&xvZqJen7q6`4s@9GK$l-VRT#ZfV+%psYK@vKjY|VS(Xr^w6c41 zLK=!T-6EbBKPM=_u;YHj_qtWK&5sM;v4Ty?ItHP2WI2?E*bv74=6MEq4O+s(x+^}K zss?Uhs|iRaNRm~db(pmqyWkM-mbM7g)NAVzX7FtJC>KgLj-X8#}EGjvvCB~Nat-UhLv-qww#6y)?n%HNTU`~M0)7z7bShU-SP}q z#@whE)+2q$=HZJ77>oSfC=WC=v8GV-K7kX$whGJa+g`WU;n{Vz*Q`{AYZ$Q6SPD=X z3@mwA42}%DjpUNo<@Tyj`%G}_z_cMH4@bb$0#Ji2W@D4LR+R~)Y;4|My&3Y3E8BHq z$W1Q1ggT?OgEptzy=gj<-T)8RsZJASA7BvofeT{2yyulgH~9_%{I)*mmigD4*AYED zQsyifxNd$E=);Nf5p%CS16d!`I;4a8j@rD~X?X7D`Gh^e-R;0&*fJc6IskykfJXzMcJ|>k}r+uVbxw zPpxf$_oRxZ#Fdu2E(PTYZo-RXu5D$P5$GJ^+@tp9hBT@8M1(7VIO$75@oz z(Eo(bi*Tp?4gUT){>8D+x)CnmDJxYY#X&y;7^+W%_5x|n9l>)nW!NzP7y))FaT{w0 zm50y58J;}*#VmIWe|V5O^?6%`UJ5YXpwc6SQJ}RbjC}o(N4PfoxbdgqS$S4sbixJ| z2ZXm@GVQf3MuPg^ZMx`zcQV1hImC$x&dVGZc+x82c7L%VE1MTN<=f44>_6%+>ukI+#0aPe`;cT5PUALi|3m=nfLS&y4q`0=0z19nFq59=h zcF#-zO;o$lwLlwk)309{?-PH>;Sq64XugQ`r*sChykfR)?}@| z=`GTTF1I3`N+-8LEe!n%UQ?F%s(L#z-Enlefyr8x84Ja=hR=OZ%qUfmKzRq+5yu3y zvq|p;7rSPAc;!tn#5cEbW>(95WHBjYc#fiY7gAdN;6XbF-Tl2+-~5tYQ*q@esd)QZ zEwl^n4@6+J!C3#L)%w#IbMtVvPGUs-C#!WBgQ6cu4y31A$MC*Lzya(zX)4qpJke*O zBFh`*RbkK2hCHFdrJhFp7LZ7@cxAZ!MF>XpEVis)95Avphd8Iw2{1?bZuxdOs5;8Q z-H5)J7hr+>du>FI={{YT03reBHc(85+#dkZga_JhcUqI@@nfu-@tb4ioiuv(xjlGK z&eG?JW1l~(?SLXFA5l`xK?4!RPexY78OvYnH=i4J+v&`wom(o%U{7J zq0cS*csCeSf^ync zt&W_Ca0`ZcBbFMlKQY^Yo#c8Ry-DLkQVpeL$v&1H$TbivCRk}OVQr#fZuo###r3y)c(p`Ze6Wl zaYI*Sw|Tu{gi!gZGaD74`%8$!=EJg0vM8<%FSr*MYR` zF+;@+qIz|l%X6P1agyi@)u}c^c?Wai;CC#G{M(xjI zy_rX%#*Q`)iZ+fxmAwzxt+L{QiG{`47{~P4_Y}DuV^K_-(hYlOG7ZO;DN9y9!sH?p zpRO8@3K!Xtg2K;8wTK$Y?HWMkp+%`#dE5N{L-+t@;ol8HSD8oTCWP3}qfZNRP;m9Y zvddV8{2}MKvZ%dB704m}C{&zcpsDkZ_`^UU_lvbiM3f1In{qQGAjkc1Lc+3NHc*l_ z60m3dY5#B|L+#XUr39?Y_>XSqv{6sD)^|4fN=BaZ?|G<>`D1pstEJDLvf5Vo{xD)HX9Zuzv*us-Pu2%L-D+QDUY@xFe8ubyEbEjlJ9h(FqDT(i_CsX&5!3O@@~&SNN!8M$ zHeLLR1O#rWCB#4#jQSlbfu1Q9=1?87_VXhSN-Ej14GFF|zU&Di=r$#FcSRT_U4`Ye4sK|d3yFxWxQ^{49ruaY*Wcumc4OPUk%IO*|-7>$?ExN zC5zSVn%e2yA>+1TT)&Dju}8=Y*~TCT1DqNNZ39-=CcTIV#SzPdMuK&()DqkuK`q}z z%25JW-NW7ga>fAWX-d<>B`>>;e<*knMCqs-yYqNL8uH|LB%*z8Hb zz6g85tUSZU93`WrXgblodj-uh1&EwrkruU)y96Bcy-D%R4*=MetEZ*6zy zIMm1q0dDaAuJmLL={6*GmxM4vz@wxrC0)P_3wX(~1f`z!3imi&c#XD^eE6Z2MEGK4gii=rCjP^MJ0dAI- z$ARu$sES$Ul^tWJkXBf~9cTEg%f(hqht@UQ+Eu2fHaaM=F~hIOl+#F{fDqe;RHSsq zW1eyumxTb|23GkY{_)=-bXC-{=P7k@(Tx<3ePcVRU0u>@bqsz?9EwOjc0d&7*cIV6 z6X(rQZ0|K}iqIKhF?N}EDp=kU6p$;A$37r!>mo#t^$yBF<#lpPV8(f;A2}fiD*{vX zuQo8xVP!>|Mb0+*?Qu$4mllOlcupro8+<+;XZkJo;m|-EHwha5o zYopS@*{C)oCou`Wj@h_BOrQ<(O*m~t-JwjGng#2!a^&eD3$oPu)xB@dd8lSHxGbv0 zRj)jEV}n>NHmX;=dMRjqzs34!MUbvz*V!Wh!H}wK!DLNy-&&ClP9xhVF4K%b4#8p> zs%VElcio7jiYfXb+cAVI@vslh;2;)?LeJyNK4G0dKC_~%lm#yoj6LQg!Z@qvqS(@F z=(vCm+%J66mH z$aKO?gISpdRTP0rAxY@i1GaAXR-lZ)Jlukzzl5Xe>m2fS;96PYk^f#w+F4Z~)2Thr z&KU-%rfLKAeV-@HtTn_uvsHyg5Eaev8-5CaP|I`wDDr=%@_T1l{$_{TW<5ek7W(Ki zw;^ZqVR2B)ge8Ayc((GbJ{h; zg&)BATY8xAQs9y6lT%(6H25CT-{|&VfH#8ZOFOQuH*~R;b8VNx#;&HJhOGuDmw1|L zXVq{+(LGd|G60PYamkJHu(4jnHnb_av@YO>;2QDk)(C+w;OGM@d`W?A6ACa5<7BaP zbIn*<9(*_^{IU@!F_`Fagxh7-!lzj+N5CsRHG_UQ|HAaW!}oV zn}&@g=i{V4lva6IDv5G{c0sXriXELZgb2h4lEcl~Py>O9W|gSPCiY6t9;}Z2NoYZ7 z7ewA`3f#l(YP*0^v>R8)j5+H8Pnp#0!&xO(ebBJ3j9OtrOgK}5f6K&Xai!1*4c#T9 z2{h1dU8lksS8sHIhXL>q5*f$(71D*kX#bFXfes(z;j#o-UPAwtxkDuf*9QOgzw~g8 zayI<01CTDJi4;wUHmh5b3JwL>G6dSVFec72lo$GD93c z#CEQR8p92p<%{ku^TD}cW45XtSO5<)u8=SLtOYH_vxrUtsHnF%7zXsMryZP;E-MtFZus`N_h6y>-IPKK&y6HwDDLZzE>%PIu;ilu4vW?lsysI10Q3lci zcr7-Og-vJJkh?f>16EBJauS}(cR#!?U&Gf=;DiDW0*KT-&espxH7IA&1UJF|y|G*i zz}_e1!MaqUQqZpywa1sFQsO;Ae`wuo2F?!x&0)I!S2*bVk!6xBXM5t6EiW4o$Jx3U z##I<>?z*S&7<=Mp1@2?b{QA?I`ax+vteD^-Tm~%*u6>JN1t{%@MmwB@W9Eo=$6MNs zUQ0v@0LTx!%QTFaG1MzTlo_**x8HrUz`cz*l;*CNaC&Rpl`DR%%^=1HympdYpzjBv z4eTTE2hbK!PP3+Y>wu?2>bA|93SgfYs-=@m+h@pWh!!JNw}QDZpCq)zc*k=|to4g?20A?1xC2w4%V5m?v;C zJZ~Po-e(&vJE}(rnv}he9h%#u0B#|Zd-2*{^^EC=PnRROn^l((g5{B}fZ*(UtsV#M zuS%Ql54aP;vT+q!6EEzMH_7kbO4h-vLN3@76MnN{#T08;HRUhN+}XRe_S{!9os$FHwh4v_deDW^eZorqke*8^nIm?I<0i^adpy`;R zuXLEX@ZtXh(07w3R`!9Ak{)Pm_~awq3X7HhLAhNEyd=s26o@Ujq6)00FLbjPic_&< z5YvvO_7_n04;rr{doclXR*%#*!#W@ThJJ#RFv_<6 z5VKrKLs`Qn8IV~T({IA#mg2B}{QWl1_N!PT8 z3bx19SU`{15G{6HLenZg%(VewTi~OtwpVyP4}H?y28MMK2=WBKkAV{}i&&l{xhD+z z3@bp|fs&kcfYkcLkq)&2wRCV8Z2tF}DhLsFC6s%6{K?-{oigj~rbUivNOj+r4?s<#0H zIXk4{Z;m9A|?Z!UzklT_=2C2kKU7DAWFZK!&Xell%m(IE>mxO<`_?br_0RNp{b$ z1N|O#rv~f%=BRPZ7&Fq0lkV=bp8EQx#UMMlaMVP(=Am<|9+V%r zykLKp>3j&wh^^deQz+$&(%L#5R3J|MuBWohts zBXYfa`Pi{}bGK#$yKmp@zcuuYNKMeVXzGM+T8(u3RcW&pvgR8AwHzv8FYMD4#>2el z!}*#n^X^SV#HW!I{4C6Kq<#??HL3jj3hJ>o)lIty~Up;OBi9yu%{~y}k1*Ww$zZ0BuKEK}& zY-1bqeqJuG3m5La+*heoDz&2CQma*JMXl0RZK=0ZidwB!t94Z>wJNORuq<)hgm{VD zVhGDPggAt-#O-w$hGjes<9G=ngmts5!w?U{SPteabv16#i?f0HD_3rp1mOL0P4^3yqho8!In9p z*}JU=ZC5~X;QXKRrL25M`PGkix$|m78Xm~y<2fZ(2AU zeDW!92)IGlBr`k)dGr2}}90~IG=?S$&ffX;3sm6(ViQmVu&1=Vuuxr~>7RB3rxne;(i_$!jthg$Li>^Y5 z@%fQ-6tgrYS&~t*`wMYZn2(}Z3X3o8Ar1}2q9aL4sWfMBc#Ed5Tu52bguvux^Bz^s z@z}>cK|^JUk12zizeP#*dS4yZ zljCu8c$RN3l-CDy2yGc~J0NM|Mzvd5E@N^*6fO^@_7b?EY1^HZO884(X}OAPu9vDS zT+qz3soK2#M6;|NS7UEG)$CRV^#S?MEqo=!8}f^FuL$a1GaXs|dG86o*m@*e!Uy*B zGu5?p%ob$gT1qN$ha9dS0047(ll}%)3tu^eSnr7McmbyZ71;#B67n?1!0ain3&@M` z1I*Mq;WtC##QL9M!C*5Qe@$sNtTkmI2BAtc73IjU4^{h8zz?y&q$D425Yc1-IVl@6 zq}98sGkr~gM?qYjl9A#dOREYf{%VJ%myS)<5~ef8vTDWtVMM*JUbTO?q&`rmo6=2L z$C7$cPl;r{YEwCHxRgQ1>}}kXxZMC`+*Y7fNz$@jlrY(*SXU8vy{8;)F<8~`2??8@ z{d=oTKd%}^on(#c7*V`3j-xRpbyHS{;p4;LFOJKy!03MN;S2Cg3F_v6O7hoUs4k2P z4Fw0ZzOWIz7?vJ$$FQ`U!}&tRR`IH7k>+L=((O=jN5?3H>4RF}iV|7*L-`OL#O)zx zCB*ES62RP0+dbmGkH`vLhz}-EB=J5yRIQugRTmd866)7S ziendP&P+d;!k(K{j?gMv<5n)n@-Q^&k02c|u_Y}LctDDkVBcgp2`K$;IbjqNRXF8% zdi7AnxjDrp+O{1dX6Cbwp#roZiQ4!0GGTbLCh!!1SmorslsstKXke479mP1(YZTXp zxoKcAgi*vqaLYV$5>z1=YGTtAx?kfp$ri#LHMlX?5Ms#G ztMvM_z&N8H3fr^GmIb;Ho<5)TJ20$ZY;c8JL&JDQEa^bi;Y9LVHV8I3Bb@U4Ijv6x zLiCzeXcs29uyb8GZBD9Ib@@Js_xSCR%4GXSySF}2wbzdK!w&HIsQnG)WoQ7q@1yB9 ze1ElZ>^|g5F`QETG(i7=4lfDsin_Oup)Kp3rXZM?Ld_ws!b<%m3lZUfd73$-SV_y! zkuGjRrY{Uo4L!;&MMQH~`wzbh@L${KH$Okwi+H44`77A2eh1yd2?XS4_feBFXh(71J;Ph2X^+^*u`kU&S*ks&0b-eI?fA6TlroK zSh-&UL3&-=&YWaK`dt>#=IEJj#$N;CG+Gbk$f77-IMsY&IHL7;h_)G|aCiICe`E)X z3Tv(~f^sTQCa@UPWMv^~?+^lzoP_-;PZrvQ-PZc)A^(J9M^gJDYS_kzpAsgZ~DiUo}q0Mpx7S>$FC^We7=B8Kz zNnupBEe|ULr9a0Pgv-L}i*yu|hm9d2neFsh(_~h%f&LO+o9#$PH&xE}bL7346F=45# zX&d);`Mn5F;}ahte7}kJF~KLz?c)nyEt~l23)EDbh3a_^2)k$AcvCB_OipT^jCv;=# z31u4AKf;0Rup`-8<0uybY8TF_wpbSv>QfWSco#Y!igMlCO;JHixS<1*%)p9lyNgB0 z+9KNpIq0LVT-SaVeWnk{_8fP44o#7rgr~p)8Bd?bV>L@O;}Mt+TxAMAbl; zfPW#uo{$i#5x9W|0hg6Qc)4zdCn~itgW3Ov+YDus|G=3|gs4M;V-#QsX_Pe~j~TLW zS;6~-sBy;PH_oaF3)d7^8OyjRC!S;4F@puXK5AOSMLclAWk<+vj#TT?oGR0e*a|w)vYugt(%&s0ED^)BhBS%f zAec@7Kv#;S|94~nrvuxH?TR4_sklIXC9O*|?7$iiq2nUWyAkd}1`5fUWSDyR^ph89 z=t>d(jeY;OK|FBR3NfskN8o_?0YHBk*iAvUcoYvVO)>leV^@wCKEPi6RfSEz1|1gS zYMZCo;M?Q;cb`4JusE{}vKw zR3$8rKbIH{p$GI@-ufX0Y8t!1`3*~KUTy=DyJP$Xnr{dEartyV+K8rG9!S0l?w-AeZD0G11C zH16Z4!kECxNSdOiJ@Nh0&#vTYQK5EUEeh1msAdq}t+Do1?iH3$%Btvb%UBh6;MjY~& zw?l9(WJ9sfE13bF=bk{Xh>EI73iN`V?OQmI`e=u;Ur6i!f#NUH7=+@ zkPTal(7>A0em9HT2ue$mAX}u~;(6~bh)=?sTtMHj6j+tYMdBVqZ|}Q#u83-h^v4LD z{-w%fI7Vc`ovJ)Q6luTl*|6ly{4IJ|98t^|`*Ag>(sj7+DMq}sj<|&4#BK#E9Xxuz za!Rbmq(xP^Wbt(*MDSep$rF;SdQTT~lH|m8J(kQSksbKUg4!N4R@jJk7uzgd`i8G0~bqnHhMI1#$wb>lSM+_em`j92_5bU@O zM2&CJQPc2XL!FcRG0i_F8HybCf`}vlI+ZJqQs@uHp$oOFI(4yvEuhcvJF*&^hey!~ zc`SvAo8sDp=ZWz1DBL)w*>{Fv8oG$$Qo(xoFhI!ywCB%^XG)-#Iufb{^H5dN$fBwv zIG*5_#rsSAQvVpoqQ(W6kW{S?oIFJz6(CN$d-UR_fk*N8;gn4DfoKIG-I5^20NWf0 zyOv=Ni70iheUd|v0W49=Xv?u>ymI74pl_{p`eo7@sER0}ipgG>CM`S+0q`Kb2Ixby zr!Uf%vP5MQ>R}t5@PcE%6)9${kFBXrt5!8W-1}bVxdvBIMl>@wbSvLluny_Vg5W}U5wlcni9rq#Aod!cv5aocX9^@o}Xd^wzQPr9@BypRHeP?~=eb8wh zhqmhycA-z#cWB!{w*bN-9t1+dGlI^%%>Tq; z(O;1R=7RF$q~r`0#TpNf)}a^W=ObK^X~`~c|3BgCDm1&zh$Z*cK@DYRvef19eL7mYAPx zLh~exCt4Kv+4x3!*jspbL-i~|xFDiK_X~(Ol8B#n0gMnd2wX+nBwpPFgmNO?CGH)q zQGmMgKv##Aq!VxeErFbL7Ahx{_FS^>;Q?aald1$>O7<<>g}|6y18c9b9Q3%-un4@i z{~l{OB9$Z60k#7`j?bk@Id(uCa6p!aRR)v_>&9T<f=_i>`XoJfZ_=Q2cF7 zm6C-jAD(E#rbK_raj9CWf;FZY+Z_Jp3~-uew_&rtW2+zL;?^Im>Gyc5+Xdvi{gX96 z(nG>hc!gYlq5q`+wExO7(mSj^??;nr!>Ih4S$;!5$;(dV6aj1se{dzEKH0trnt5zk z^Bt7Syw+15CJZTEspE}0AVOXm8Gd|V%dulwuVW{+fa*>WXxoW&aLyt=u=M%R33UMa z(Yb_h#Iy1dlL#Ijk>ycBfjrHzeAy+m&$k_in!SO{066IAqw6mWN6q-Vp{fa#EO2Ld zou@X|^)0rlT_b@!55J4pF06VVj~T{#8JC6ax5a1v{Qt7s^wZ60&SUx*Kgr4uE76!_ap`vT z3PcVM!3D>US7iYf(S2Wp&We8+WcIdU$!}Jn6J`u)6SBM|_9$IlbES@AOE2i6&lz6* z65X@1cKPu2)D)lK=JUS-#|HPu$s^`(U}ulm#iPqdG2@nE$&O`*&=(k}D7Q~bJC=3N z5X!>c3RGQqwP1Wg8)=0e+#V$FwY0*Nhfvl034CgEk5IWP4>+^g*g}0+a`0FHMPwff zyd=UaLh5;yi(7A_SMkGtsInP{97DDFdqX-pvrpLQ6WwP0n7= zvbbhkKBUFe7KdMw;@Cd`7&GkrEMiOI;x6HJPLZ<2H5SxdTr7@7fOTNCu0xi$2R^o2 zf~cYf(ye~zCgFvZ63V8(O+2OSb=nsVhGv-LCjcTf$)moPpSEti@LT^osh`s>3Ej{-%UDIMBZ z=gNgDkD|?0gQkfS1z`a5+ZrtDcN)O!u-naF9p;>)nC4Ag?~?X=mVe7;9$-qP-ZjeC zIag62eB5w~#Cr|-oZd3R+r!-3>zv&3(R;(JPU>nviM;7QD=PGV2rY|WMy>bH5zVjF z9GUldX^MHdoP5=86${!C{#jJ*Wc?Q6_!*>FrMal8CNnBbkSDY-+9lPXO$RL{jfk(c4( zTM)25w*5jwFZ9lQ+&4<}CE?fjw8~LO4vRQs+K)x8tahkcr-4I8;E#0kH!ar1FZN=+2G}_fXOM1G43;FF@ErFh;t_4{xrm8xet)%&al_-KuQ+yL+m&|IOlNb zcEG5|tS9AZyyU+|8~P6vR>P0A4#Tn{u5>HLm1B?2)qd3(;7T>1oL#CT5_t$9%1h?2 zSyn|&es$ah8lWL$Tv49zf-<(0tvz07hd_4rp{Ua_M<=x(;zt|2 zbj0uE*&kRd(Y-pDgh=Apu&L}q!2&wM}m@lzZO!uDrMH zy;pXSl7$n26N2$JD9LYqDI?j<{ZvNsyI(>`j`45H?~;+raFc1{{kOniZPhPQJb(ctOEzgtvkT##IBZ?0Y`&H_Zzb+ zAL_bP^F(V-7@vo+@#YoCz=`wuneiLMAMi*b+__r)6_6^xU-&8>NEA=@X^hJ&ehpZ? z-^Gb7)Glh>-Q((l_1NxKuWQ~0T@2fC<$9w4SbO!&T@+3tik@9aTkYz`wezh}B?;5j z2GPhpd>D4*9PFZTOERVqFkDaoN}I|15c&6DVen+|bPzbBb>`Qe)=2$o-1DmxfX-{_ zsJA35reiWJO*QSx_h6&G>5zV$uqIfV&(rU*V3Q{Ni3BO-e}m=YJGeUmjK&=Bakm8G z#bTFSL$|)VshlvsS0_G&9F1R;X9<9eu0%rB#2}T0I_X=#*jtBwyI^3zK1I3nYr^9j zMv+PV8(OXEz!4q?c@=L3<1u^n4j^DQ-Ir3j z7~76Dys*&5=8h`Yxld8gAoX2-M&oPsS+}d_YK0O+Q4ee76$O?Z3b2KN5EO`lS382s!l4X@1doZ=XL$p72K~djA!c(ci(>M8&pp3{YQ?@Q$U^;=|A_HL_L7 z1OmD11REffkZMAks6XeYUlyDM5Qs{K+D4sT2jZ+!%tAZZ0=J|C_>o+ZcJZW0vppbT z$R~(03@uoRg(B{d2t8#VXjD zxfo(pNS|p+ZrYa=_R$DFW986wSN{V<>Oyz-jC*ernR0PwPaUDUWiuDJ+GRGQ@q2>#ThO zYPNO41ANj{?OwG|^O)AcQfaCoWC^_#z!}5xb=i)Z0aPY|tI!(}_IP;%E58i;Jw(<) zD;0|zh^~F`_c@i3di!EoyB#qjMu7h@I$m_M9M;Dk1*%rHC`hG1EImYD_^o#{@+)-{ zRbF@S*eqke}&!W)rtqBO&hNa)X zMMb1pe#HL}1evQx?#HJ+ZbcCvv1j|HD=Pq5hlaxz6uyz67@vi zI#IcN>b-|$7E@X=MfvHHbqt1G?4+WgU3tdZgqZ(Ea<9zsz^z2%Z@>W*N{PeVjN!d` z=e5fsN&)D<{|z9bhtG1A(ugQhyn+JZh*mmXIYprd)@(eg_zZ~rgv8$$l3rk49(um~ zSO^mc&l8he2`|H_O-H^cE7%iK>~pq{#o!i)$oKqblPgK8ZN3#*7U3XbXtZG2P9dXC zqKF}m1&NmJJ)U@unHYHPHx?_=c^e-HxsZyT^X1z)fki}O`^vHmH#64N-@?tDHD7lT zQr3)YpC46iXiKkVHOd9%sm0iwf*;oV0n#DCkoE3FTXq zInW68au;}?UR?C|@M;m5t0ZASZjtb_rYsQ5Tmzc#ERR=WKT%ore`%~Vp4Y7?5r_s= z3Aj8Wox;PQ4}kxZlp)Wmy|n#Y@LBxb=OcUwAZ2XW$b0KpMlZUyVyoJ(IB#9m?>`im z(Lnu~E1_EKfacSMYWaCY4W&E5_tXwG31MK?Z%PaLY4yW)oD-v&XieXvf6C@X0)vbks@H6V$<6vvVnczdv8y3OI(fGJkFt~ zKO{}k?+c{(`870$K}~aWkkvrN6hB77OnlYO`J_bBxL^Tc>+-eN)zHYw+3RvpxR&#U-AJd0vjZWMQZG0m6R<%_VV6 zzD)NnwBVRSFY$@x`(|Il_x0#`?)e|S2a}scu)`~KHwAm0bJtpfI9Jd zOZ;X0<+z$!27&(6%U#QXDXemL2K(c!TQ4DcJ*@s%AWL2V^?IrG15qEwUR@3&%Ea-s z^R9#7b)_iZEm+T|L0P0+pbuh|^OYe;MiyAux@HJJ6z`yJ@RqyCb6TpdFl$L}3Ge!9`>Hv-=b92U{YtjO2r@j!o`J^2#G^T4ou^ zCWjw*q&xWd(1Vsox}(Nrv*WGS;a{>%?(;L8=~v^d!Re8Dq%Prq`tF=-^6~p@yW_(e z_WFYJNO74O=;`*^E11eiKk`U%`S8Q-j!W(Xa`r;(Avk?SJINDONQ&`QK68H&@UgIM zviHJ-3G)62?8A@P$DjPtx4-xO*Pr2X4pkSVAvXRbgEAXV55rM!;^opE4Ib%1ce-)6 z5ijDAZgXkwH=pqSCm-SewuIzk{}Vd$bA$z#93F~yL|*fH*+DYI|~ zt+nO|5HpIJ(->}n2~@RKBmqS2lhpjf{Eavv?!prN5x%DG=DkHbhjja_0mmM}Y4@P1 zXcXV;>v8kg{dRibf6L=)MEFeis)Xk6FJ&YR5x&KPiR{9;ID)~bM`}A~4R+j4F>6MW zk*>+X(+a=FEg^jkQYy;XbJde(bWR}hh9>P6HE4{yn>?85mNThbyfZ15X=riT@dFlz8fUt@aLunb<6o(tFdLwt69^LrmOoO8~I?6pT4#H-}h zukm^?@NJjd;X3)GAk9_J;Jv46iMKZ;FG|m)7gA3(?htyS4>A%w9MkDojhjV|?`Qak z?A7-pvJdDwrLmf{on`f<#+yjK; zGV8}j*;H0Albv}Qdg`?VoN3$1gQzm25LDX7rJwCVmzoDiTE}1F~JZX*_YvO5=KLRs4qh zitRY}BuQHihj&C7Q~{L_AtfJ?ip~lEwUh@cX?JWDejNfv+fIoCah@2;#f4xz?(T1{8cKss>=V_3 zGEYGG!c8l`$j)ejJ;(qKvdqm$+o@}e`&<*b4;kcD^@e4nIobie zYUt5}*sh7Fmz9f35|LYkYRBx8r3$wtQomwMLX(5U4z`TLmQ`b-a#cZOdvCL-Wa?`U z8(CRsa_#=K^{gdvKioa8y{g=5^*0Bai;k6+QSFec1RA;qn`|m0N>X;a(RKT|s%{&) z?EOV+s5;$;I!mriI9;>Gb^RMEW`PD;lOyIOd$K#N7qk!$tJ#<7aFGhvrf$tl5?qJo zWz_`4q~xTxwXU3LXFo+=D=aB|L0s!t65>DlLvT+?R_j8!t=iHR2EcC3J=w&?BLOOs zpAto zp;9)d0}kTcIj%;R^#TWj^v#hWFT{Bci7mT;F8ep8Z?8Ydpe4w?FqNdD3%_!70Lj9r6-bokp)s!?ThMcSVk_v^lWlI6w2vP_c z?Gljo$>#vMpb8d$d8k{~P1fM#mcTFqwl92Yf>mustdcN=;#rTlzDGgN8P7jzSS5#uoPbb}EeZZ6T$ zbrE{}vfhW4VBd};QKZWdM@G~VZKkDZrOd&Yu&}w>GW$Xb@&&9D?Q77d7x4J$=Z6Mb zdv@TJv00Td-dshNm8_|TELZwvmaD^icygcu5i|0Ho%J25a;iiS-*FGMdeXW+RqFl)A7bY-D7IhmGt!J4?R>~IO4iYq$Qc~^1eq=Z zDOR^v<#U}mMjA#N*qL%(a>>tdAucQQqF4C>o`5>hlNto?{3LkLqb7&`%08}iR|Tu1 ziX-LZz_9@kviVB%Y3G#}&qLrMZgJ4a4iY6FiIU@seeh0ITX;40H9>3*YMYf*YD85Aou3Wy*q&2edye=0sIBJ zm^q;?z#9Hkihq_`5RcjKYi*`e(7yg!X)^~c5Sz<@(QXV%!rZO)(Sg3yJerq50jb;# zq6W{lGHXDyhNg#|>eW=lKQf9(LZ8V=X;D+IkfNL<6hG(f(av>f?w}$$_k3ABONMN;KiwqGrJI6;6#n+`LSWA}r z$2sK{BKuu^%<0xh?@n~ov8T0P4DI}yNljRT*3FT2K?C36h9ym^H40T6pqwMhHR>d3 zQkwW9+KA@##kPG@s3OB}Xf~Bwnr+RDB40)7|C!#DZl?w+4x}}|F46BwKlNyqq^pKp z9Tu&{JNg{JcBA)l*l=2(u)P0+;FI%CQ3W;QnAVc;=@DCYMR5@e9QOEFSJJZFm3S0u z%xi8WD$XB=9iR-KYKpD%3ZlcD0We0rd1?M#C;yaHJsmAN>wB*X2@)gD5BbIxVe?+Px$B%FtW6cO@K`0O$G(3`h zBk3~>6acZ@y{z`!Tc}T>WU{QDc?p>fIVBC`uOTLfl>1TE=T}T1D)wtAOJM+tBm6Gd zGmhBf6Z;nau4HyRK5UlNy zd*a&~wT$SGyL^r#T>qps#TGg!LkK%htkX{~I>|tH#aZZ%=%Tv(12*BDa4bFb>sRVR zPw_$^i-}pom@)cf0yCuQ%ILafCf%#a=jVyznOiM)w`SW)0OkeQ(}8QJJKs5Oj9@i#%^Q7=gUXV!_)#UA;iLU0 zder*kr9^2%AA3|(XB%*U$>8>h&1NBISjm?cfZ0Clv8Q;gphaEY%+_Dh9Z{;8rZWyu!OU8#n`iXRI) z1XN1hVA9gM9^Zpb7humZ)1JYo{~5v~Ic*Hv4{nfKnj=~0^dH`SGCV8kjZDjzbP?{C zl?MHlb6c^YS*0eK$5iH7g!Od4q@+VaT3T+2j;g7txnL54y2EZZ4pL5J9=!OTKp^Cc%pah<7$~leKp2dfdIbTUWOVrL=j#LX4 zBqQ_Ap(>%Ve{P{->=ok1MQ6h5R^(J0eGw@r%+D2s&)ef~0e^%idJmwVajq9ApK(pcB_H4b>v?+; zl7l2@D_V&E2f$JO5rjnK@+Z6>f0dNQEEiS)N9MJJEkR0u*twy+ZuYNN?^o=bNL6a& z9<0#kbiRA&{g%4D{(Cb9p=VoE%vFXfS@hBV!!>8z`SykB%9QD*syT|)gF=;h)a*4= zO&En;^Ndh5pme>G9ak0xHfjp4P@Aww1N|K^FKAJkU`H*R3Mif@9r-F!J-<+p1A$u^ zsv^hwMRUYFuZ^1T+|k4>PnkE&%eq8e#6j^%$zgEcj7{y(%qE+G_tKJ=wYUYoX=S|u ze9BCvr((FG&N-7m7dqhOh;?E}YY?QJWMtMb8? z-rE~r?wEK01Gk|vK!d<&SjJQmsk2F~TaR}dryn4+5;o^83mW|x`@(0U9@0f0GlIDV zgEtpE1()Sh)o2BKmFb$@nr-=BO}v{j#oWW9W$WR=Gn%PamebnNs@*!8E5Lbptz~_c z5`1Um(dI*lk05V{3}aR338=tO(Vw$kcI|3LYd3lqkS1?bZn=Cee@&<=>&Q9?YlJen z+JWHBwY{9C1A!yXUZxTz!vS)grZ)7&>|4K11HVYmlliY z>xxabXkP1%cMln+6`Op_w4)3m{_|=hX1{CPxhc&<5+m6QO_zamenEv{rf)?}PfJkDI1zi%QBvl1@bJ;l{b=sa7Ej4Kzmx z-~p)qvikTL1uDLZMa`T&Y~Sjp&;!-n?#z=D8ypPH!uE~LOt#ZK<(k9NzoE}IZ0fi4 ziz>I{&RvR)aS4EUfQBHXb7fzYtQv8fp$6QI3qPg90-rKZ8_sKI@DVaBDFOy@ne{#d zgm~5fbjA{?{Yls0t+lKn+sB&kAec9OY@;Jk)z7d)zzhAFU2OmbxJ* z68YplNrWFW2c^p(jSfbi%%PTY)Vh98n`#YMg}VpKi2mq4&HCZ`*{b;9!Go=bG1q3* zMsF7LU{C&d1!hD;uxz?EeE;K0i+;b4?zThoMdwxDQEPlK<^om3h@4`Tjh=* zh8#Du;Rag$F0`xW@q1zCoS9MEYV*M%W;PQdu7Y){`p8^b9#fiP{nUe~CZ~&;6Y5b; z$l6OTrJ?834_LG@*H`EcJveq;X+eVnF{~(i0XvDFOG)wtGO9u=>@~^55;`-2eI*3C zZjVbz*|c(oc6I@e|C@kT{{?(iu{H~ilPel;{qlp$pX7exn1 z#%I>!Rs!bi@Za0HH>N$eUKz)c0L@qVOv4hdIbQOj#5!Mc$=G^{n_4i&SbiW}bs(~- z2tot!v0`mdLTLqd1$V=;o?Il{RQH*E9?=~^^V}y%-9PQ6G%_YdxQ zT85oQgp*Jo1?Z+BilfOs@!GPEAwyP$78WD4ryxG95j3E4eQeAL3d^2M2;A9$jC7jM zEK^Pa0r>Vba5$j0b0n6$EcpaXVd;is1y6z2;u-&|7Lc1YkvfE{7|}Wpmh%y5RKdpe zyHFZVD95Zxd`>7+nqx=4E(FzS+_EQw zZ^L+Y4bzgU**g!|1@>$fufA};u^|;0BwBMih_fEbwxFW$rXVX|YefU9kCIQK21uyF zwyG?k3ZsW>{nRDpPw+nd`WUw$U51+09yft?F>`;@5X4-X0r#OKU3y%4bI>jI0{KLu zrGJFN_q9@K%vRDGeG%dUlCsdKSM9uk$j%t=3X29iPpzS+w~TIMR0~<43pqGFC`u+5 zEHn4mNsG6BwQ;U)#2G-Q=2p%<4>++fGwn?N=5_)_hdRAo{zUAfi>p%|E+(4X#Tg{i~xbpb(Z z1r3QXBIK2ND&fpk6M7Y9kn?1*OXC32X>Pz4#rOtb4H_lIy&qd(1o)gv7;E)gsL{G> zNdsd+aw@gwv_&bR(io;%XmG4W3`;h_|G$!KBX1m}=Gcg1S;6Kz7dlIl2#cLpHthaa zfK?3(F9S6ZXdr}ap>9$5pxAceN|y~^?Sq#VYcCSvs8 zj>rcoc3&DQ`<=Y^p}+Z0HfphKNmM7AdM#}blp^%Pq8DC5Zr))j-#PE^cDSF|hA8?R5) zPd7(aHk+e7d!2e+4!KD#_@wx5%fe~d4kkk+(k7zTpw9a;9 zJ~M1MAVyCEmuiJu&=Va?4WQr2V4e*Rz={`wY|n|Cb8fygY$#VBqOciutUWyKo_BnD zWjD)#1ltmfB0$UJN5w`GOzYa(boJbl3(Yprd1#yi^1L(Z8^Ph*D zBh(y4LL!W6qzBJ9*2DZFkcv(9u$dnAr8p`)aJ}amM1^vZ0HNCN`EvLaSS4?ur(n-* zA92R)LB|&w-o)9s)A9b#KrGHUcI;{Uu03Plw;$LK?K4UWt8(^onX_O&v7g$DcFczh z`xVZO$3e{>=5sJA@J%>`q8!7_#X$LO7Vld!*x_gTE%Z+!ju?J{5?9=j5FSB~dSg)0 zspx=Y0$e6gV`?12ay;xD!Dk;nXxtPs=A8@9MQ6mhYCe|->toJkJc813=;|k(L1l`n ztC7CoJ&JYSSaeGsBs-mx_l6XEGBhdQytcw?z4_@|C#DqcI6t?I=l*|Ds0F2Fj+I_2 zcu#zhW5teUPlu>81?k8o^Pa9?b@!8{vJi+anez~?oUGcfIIJxq%MEgPc~w9`w5bd3 zeZLX=C1#51s5V!-ZQcbLf7Ic1_>D(q2n3uNd%YU$*O*U$;AglDl-|rxqrhJP4rc6(WoC z^c`E&u0M!d-_UZBZmCN`PJdNtH9!?*6T&EubM~EwrBM95KW-z|75?Po9g#lhpIi*(Z;jtX=SpV-Rhoy_J!v85Sa9#2g990P4GYwte!S* zD21^9pMu7qM$zn}unCq7xPWL(>!+$$lsQ{Sle4TKbw?0!YlIQ`!GAeM2($YaqqOGYQL)uq>#N~S)7C9Z77kZm@VF`wEiRBD)3`CQ`d5$; zndq2Bg`r@>_CaP6*iQDq^P5v5sdb|{0Go*#NW>r2C6z4Nv8vp(TqxtcV>RP7{+fxJ zRfo|W<|sEBR&Qugs5z7}6s~9LQ5U36yP(20S+nMNFwj=GMbZA2rzzYqpgungw&QRjfyBtK10d2Ch2>`+dVzCv2ooEn5E*rjIJys6wVvQRq$srI?{%>D4--iuPb_(rGU#5Ja+ZbPtTm^u!kj(kZ3e%d6oBVvR3y4gn~PY(OC`o-3z zR*>E?^7_MGVczU@0IqWM5Q``^DMr<^&P&OhGwc+|#qq(!V4-odKmVdMwQ!CBF@9N^ ztyqGA>t3!EFx;tosap69?loo_&wH|*N0DhH#3Hp6#JsU0!44J10s}6O~CuAp+zFP)O3{I@F|M&AgX%&_@Dx}%^z>r^M5=VQaM8eO9+>4J2o zGuD`K95;rvJMTN)<$x`KLN3M73US2J10p9w>T4D}F#TP+; zJq@eHeL#z*y<pQ7@dj|aX z7_fw;3ts*rTG0QGeCaPs zyL7tbHH8Ab8#bX9{l<&vK)zEnej-cyY`HQ8b0^WP$t!^>Iv7BpO3|u244+8BfgXVe znpWQJg3TW^85{ZsPUb~36pSy zyOW(;mUTz0kL18o4pROa({DU4DSi>l&LJ#7!Hx}w(32l_kTbFfug3cxMpO={EYza} zMJUpHinZ)GCK^Vb2`Skf1tuu!KuC#v3ijcNir7UpshpFGA{+;ZwgmjiqVcw~`Q;;_ zTUZ1pb=SDrDDdhID!mWfx?CN|6k6!7P?LAt#NymmZ$iVUUVI@+h!kH4aUk6RWl4`w z?zHm2v96(JQ&I)tI~k@M{LN<|-NPny;OF2{c9IgrVP!-?cILiTz<(w?fIe8f7gDZk zrn{qZXu(}H63&#!^LGF@*Bp2v!0!rH#f^tJ@c)+$*XH5ns%cD0(389lIfCdNo~c|l zq39WZIn*Y=?#;`TJu>vVF}#F;MGFyvk~9Db9hSf?9H`J+P|wrueYRi;)`>myL$zQL zUM`joL+fQsbqvx4i5|1EA{gacBx5`H0p{fvk!cXhV*q40A zmL%MmYTal%?kYi3wq-Xa;Q*=Ju?XKFi2`fz$s+dnNiA7|FE>&XW%fCmB|>k5EW$<% zyRx7p-B$`W4s9!qN4C{Q5e#?Gzt(tV3sfyyUqG!b&(@UFN;1XD!+Qf($teZZ>41-; z!Wja;A>(eNcIgwlL?Vz|0z{ofKy)jQ{khOP~{kmZ6ePBFo zy=&}UK*?kizTOl*oUw*G_TI7nqx;wiJH|VfyGko9gRyr^^Vx>vK+?4>_45HHFB^IP zJp{*sO{Iv=*E-p;Gmsv@VpLj+uDJrI%9$o|?nY+-9$#?l#x#tI4&E#Bb={^e*dEdC zfi`d(q%^OKvIRrxe#UsvpY12#?s$byvaSr$Z6ca>@43J!NZmhrl2pFwy}j6kLc+*X za0eWMO_<=Zy=5y5P-E@1l5N{|Y-!s{)7PPux(3BA>Q8>zPz&xt(j=%vDDd7g)h2VH z^@^?jttN=S;h>1MD@R@Uoz~dF6*Z%Z)~zRfQl<~ zor#uAbmX#0wrG)k(WE5`AITAsCH8RTE#l2+-AJ>y8C?cO{1!jBEg|)gE8K=kj*{*7 z(}~2111xH#BWXYlbQ?r zu}P=}5E31*0Oe+L*f!Yi;4EU%CsT#YBQ6^EEZCG);h^GEi?XUNGk^TyY zapQn}m+L+1D%)QZzyh~3&rg{NT(LDM^!Z2ZV@}cN`m&kYzCyG1+(GIL=(e6&_PXE5 zeacW7qBKLt%*+lT7s*%y;1F0XAq+&l$S)dS3;xK*QnBZoh3WM#kmvO!JOlm?ItVK& ztHBHE%Rw6(YdOTJ$0*3hTd29>ty;rdRHK`5tRERb$D-tI{igo#bg`&$MK51X`v<7oO`*{5_w#zAxB$cEr{sO8qXUq8lzGKC-IhPQ=(

B7b>O7oN61CZiC9$W(9%$biS=o%-CHH@kY~?^AFhY@UpY z>rJ~xlht{c5GDslU@`VMS-X#z?DttUU*q50Z>(DXes6{gM%wdL{}_)~(Q7}Iv!BY< z&mPh?=EW(jT2{PxvnOGr$>wwZuq#N1`QXwzq5>wyo8j7IR6GkW5%xUyBka9kA^=f( zAzY<}z4_+MLeqHnyEdEy@FrFV0EH@aD&OA#pAO@2izh-hnlu3ril+UL03vQ0P>v?w z?W4}(>JMlbNPBDw9^aXj8+V9OwzP?oYD=`7;cYL?FyzT-eddNSUKr#cN0Ym+ z0WX_gydPu;R0&D2%iAAm<_(}|RK4&kWZCvo>@^(nvS`Ok4)gu&sY12M=xHP1K|Qog zlk&S+eSWqrR6Cc|K{*hv1LAoaO<(FCFL4ygJmj*iJiw*2Pn^}dL9PMBXl+33@5h%0l-LCPyg6)3Ss=f8@T50#oj1z4y zo76TP0Uo$1umA$z%I^k$dL>7XOW8{ZIxN{EEc%H%&ZpA%yQA`Rj_>hv9b1x(&x?o` zMZ~Kkua748R_ce%gg(vq{Na9cx`-(@QPM@MrA140WWy_k!Vk;dDqMKvppa6v{`g@N z0uUWgd9a9SM>*f#_l{-hBcy)0gseUKT}$!P$Uq{OdSxIeu{UU$!n)A#RuOr)NZ}Fh zk?y59=lWVcfYB7ak9w^Nn+Iik5(9?I5ejicZf_=-r?Mw4&$mRJOc1Zbb~6B~+}{mhr>$dRt$ zCDY@2v+EY-CNAH^3s^z$q1^IvXSY4QHRsBp9fft|6n#%X83|xjg2JOX8gLe6%5rlC4lmi{mA`E)R!z`6q zwJ0A>#f;F}62P<23`nLS%%E}TE$%#`OIh@|9(Y=IgSknGA)`EbD)>oB&y)HpTzGkn z`@H{~y=Bce5-`wt71uG_m=5jLQ552Ex+pyac|Al?wlisy2GODz>2u9;ALZ)oH*Fy7XEZ?yJbV!R$Dl54e z2Vw~S3CswEBEKHCnnDaJ-q2H>&I5xkYhl$~RJz^QtATi3@M@6a9S?g4WzSxCBsBEK z)syOHOJ~s0ek{#z_B8il99CRoc+&E#x3m=s7*0hs1F_sMxIpyNHb#|g#gIR+VKlw^ zq@E=#@?itcZ+5O%=b@Ps;k0IW&UzR;8JbR2a@o(~Ah;@jV9LQ3DfUbI^ zXb4zh29gw4TB2iHSW$7j&_~+!74xROf*=TdNZ67G9_g)o@^KS%Nuv-Wat_T6-ng$1 zg8MqpQ{x?bY#z8$7$`0^Sq%jW?O`k2teV=hoPYAXuObZfpe?Hi8ulJlo=AsREHc8_ zSo2W?mjgJ~*fuJcy5I8b#%#IwK)}ur$_N5l8G%<@2qu#;E-$n!8z#lr;I2dS2a7un zu^-Dy3-Dp1D(oFkgXCC;wI=x6bIF)JznAqqZg?7>!w-`u0=Kk2HFvO&zK-?)<@5Ve zeJVk3{AN#Rr3?8Oty{ax74^~Ks)p;mqiSxrMIvD*FH@vH?^(QG+*=934Qc#AgR4aZAuKH=T0v`89T+Q{qu203D7C-pe@h-`^u#|2bUJq!?4nH9*vd*7dcbcRimKdI(n`phq7#zRUws&<{*$OWM<34dTbS!O&C^`?Alf z>86nJc(EyjxE;Aye5BnMP8${b>_f~f!_0l?3Ai8C6eN{d%XkOIWL)7-WjX#HBC5gO z@oE-Qz1%zYmFl^rPw-Lx*^;DWycrH0!+yeGSuY7s(zLqU6IuHIcsbO=vp&&o7@@Wn zSwkvZ;_T7nSs!?;oBYbOCyP(=SJO0@fLYOxz}v>8E|pR(^#!mN5HiZ99mt{vV{O(Z zR715P-Rr)J-+f%vYPjKh?yKm(xA2F{Ve@2E*Qt9%JlF~C^REZDK4cVD({E|jYOL0@ zq<-k3g2*jQjh$xJ~TQK6J1Ka-boiWU&z)GEeJv5bqKLyw!77MpQIF$H6 z;?|DB_ETzKlUDc)B0HY#>ow=?3>w? z%@gcdBlF_ILw+|ldF73!YV*bCG@`)nA6EAF!0gY5x2kTtq**CSE`;678%NDXxex*# zE~davV7u3ySxVcr%`@D@%x6c#TJyQFt z)bsCtOhUSEV+7#$q|d~Tv84VmTST>W3Jj4qDcr^OL!R2hKaPGi1in zwhX1w%*~7xPWzPs+x$)oEDy-ndG_VJeWiNKiQLR>xP^zQ&^Eg58Vwb+I8Lg{61vmK zhEv|$D&cS}wdC}3f(YlxhR19JGeH*(YN-5{p`Hz)td4MuA6`CtRRJEq`Qc=A0JF#p z$flTS9v>Yxom!h`R;0=*vMF++P?ta%IjNNEVQCYyfh~iNZa}gJY?o8GAl;bgP3j84og1h9ot>W!i&6FZ?<<;8yK4W;E*Z;qrjH9$b+;vH3w6-g$BpPLR~xh?Fq@mCe(kVhLW(H2a~>AI2*sVU2oB-DezSkCFR`FQ*W z^=X5PNo~)Iwa-$Q2t#ZV1yqkjQvqmw5Oqj*zKWX=uJ?Z1SQ*`^l8CHK?}xLKEW3;= zIDImFc36O(@1cnDvgKn;StnB2TN7n-c?NcEwQmea$Ys##<_^{dNwx*h$8Fdo-T+n2 z=viw#=+At{&I3m^J3)REb6EfgUtg0MFiG=*ScPINzj@3V`M4J1J8U2 zQd-brm0PoDl8YW82K8sF`FcjKuiuAhHeqQ`zQm_6Ew%W4vl^pEf491>j`Z|oiAQ*% zfVO8e8r3|*G^=Frh(U%tj`+vpRp3G%7hKSh-y+KzZnG7sD99^hEkR864 zvrw(c;xM({I1h=VF5$-@bk>2j5GGd3VyOfz9Ili>+ahsdI{ZG2CiGr?(ZV6)6SW#4 z$*SUSj=h+9^v8G&PO>e|s(Wm$Si?MlBtC2(xNpCet*^~EtmUo@ zn?CqBa+f4j&wB(OKFW0*%s6E3hH5bW^73T#ePbfr!S*pm#wOD$Iv~VQ4vY;Gp`i*T z|M8=#C)ss3$bfA*{K=)a00ocQKn1$>Shpsvq2 z6YReIEs-Faa9>K=>^=cFI%K)$_;nE0>C&)0)pKbAu_mdPsF##f4$nr>* zb%B2h3!ckccp8kO*&3!lMkNRFBxdr7pg5@NT-i{FEe$Uvopr8hm8Kh8P;C)Nycu))AUG?MQ$ZB@+YsBZPc|2(@-AkOMYwZ4~7ro z`rvx2{4tyg8(PRa8NIZfI12}B*x=`LhU(`=fx?TJ4$T!k%pgYX2!i7r>#;V0$S5}& z(|>HqBtek@qfDP^E0M1hK3}cec5|&nu@NE$uyig-RoSU{ZoRo!8e@yb;7V$|-?ALg z{Q?Ty6Q_xc5tbJWiTwo1Lj{tM0ft1_Pr<-myGT;gkSM_oioi?I5`n6G1K5O9OxE&A zl(YFm`(t;=qAT~q>EKSsyJ&BsV;A;h}d7{Ne}OM~QNsAffP@J#sSY z_$ijKyhgyO7i<>e-xzpEKFfIhOrkt$6Xg|sP~);jr|_S+=#iLDYNug*Tac$(-N(7%RX<*t@UCIQ=;oo4fjdFk{LDIeA%&XyC|?W6ip z#iNl8E-(XI!xaX~385V>PCVE&c10Nq>P?7&W!-+AT_LH$_nn6wM~Ib2CeP+2-&O1^ zG_yb_eGqsmT@Zwo*Xns8`kAIa3ttRo2w(?J4F`LzZW z&w<*BE&RGyr4><9!)b105K*j5#zy=5U?rLmA+&DeCGnP?3^M+{EY@;LY=rzyi2|iz zx(e_0jrq2bJfMg5umv$VZm~@x)Mj2_l`Qy|mhJ+|gV9o)FkDM@R7)_d~7zjsdGv>MJzDE4z6e;Io!PzuL^p`9=$T*FYb;YB9**S$?b#8#pqX zF`)6Y=jlO}%-V8o99=(Yfv1lh;Hy+SeJr*6tOQM2Ol~2b;A-)owZCa*BOY3< z%Rsjtv_K9D%?eiN5(*zSMc_=p*wx-Ddv4D@?WWfwquZaV(^to% zF9VR{`&ZTG1enif>?X4o5(qq)UF?p(rxINM=;GIUj?2r}KWbXQ!2;ubY(SX;a(0*m z8K}ff>)UbD!AQb~%V**VjroX$qZN$WIe|R{1DEY1U{UG6+arQF@v=dO{JiVK%p{oD zswAuVU5{VvM!pG8P(iCL6~P3B9dx>;ZE<0<+}vJ!0t`1aG673)3ObT@b6b%a4+hjyjK=0l|+$xPl3BR+CC0541k7NMZ(xKz$c|-8N*xIiaL+hC=v-#tf z$m0p$bwcDfj`sO}BMI#ff}m1qe0TQw?D&^4u{)oKm2&iTOCq)~aQ@Ac&-`(Akxc1nT+5WqY-79>m825$+5tS0O<;>5gw zHG1UWblP1UoVw6Y#F5o-7fH;bT7Vo`^qmXyXFTYIAs$c89UmCW0s92?HW4!TUo0fy z2oRxrV3ZLUqjdAnYFk$Y#Gq92bq$OzsnBcSt)L~UXzq@ks1g28WxGftlX2_5Vw z7Xu=px^N%jY^sK`J7dEdVH$zdwf7k+7S8^-RK~n(y;&dBsYpZt@&Pi==)v%37l961 zQh}&#$`nh3t*8~~ho?bnGH_|5A)9XwfS_O~2xqhb*R<={F&}$@iy9eEDtc3|aGRxf zG10b|70RP^EqCo#No zV3Z#yQ^4Ad+1d9KVY9Jf(gTk$6vvx`E20=f?uT|*W7_j z+-n+m$h%+h`edKJ$Xj+z&w!UG2U~=jS5^>Py%&!6eyfmWk=wv7BgMPj27d+D-Bu17 zkDsNUKDHhdZOAq^c*c{eA*1GU8jL#b(1AQdWBUE~3_ASE< zQjpNGkQSL(zlo4h-8i@6tL?s+0nzujgUc4nNyBf@bodFWI8O!L`wE1IA#OHDw_ z3fo@L4YTU8Gr6fg$jwY+Ab|628q8aEXS@^ermauDB3NX~EJYg3;sQ4%iqf+=G^AEh z0Q7tyyda{L{9=>dRc#Pwg;h@6OZBU;DzR+1&O|<>;5zQj8k;C1^|Gjszv#7kwEBL8*)u zu>8b5#y#u8`D=U#Q|!KCR`VdgVzshr!3l%cPk^WxY>^WE6yc>FBJi8|JJtG4yBz{E<1 ztSgPH47u2wnJBz1EX!=OSW$j}6{NCn`O{8D3nNe2|eE3-*E6n+TTlm=(Fvk9j!&Sgq{h778BV0!kxlSjKXM zr4BnYjs?lR@1OJDG}Kq2dhcG#pa3`VtVuq#D!eMhI=&0D^f^tl~2Q2y{hB z7g}OMHf9}I!JCr#FtHDv5_Rm(PJPbgD&XM6sq>ghWj^DbZdbLW6E~SP$M2p`R7e4Y zfwN@cOC$|HjF%7EMB35pgaPUgvlCADxfNMc?G=8vpFAO;P0`H++4*xaqohJ`Q8^W; zQ$dX&V1co*%EXV8y~Q%ne$y4o#Bd}fjbP_y*A{oYx&v(R7<8Ibv{JfP!vRbnWeM!= z{290y4T;}~t^t6T&^7X31;$MR5GhB{@uwa*zSdCHIJ<(BNU8LjN(GAxk^wS7W7&YB z8wb|58478{Ps{gO401U8>?E(1%Dnwo@65gr&=NyPh@`P5L;ZnSDU?u8B9#^9F?e;riC9^*IpbK_TFHSQFGV4(@FoyC z^$1$9>_gWLH$pAJP&zG8DVCu5LLW2xiS4XEYx{xx*agj+L&fVNf5(ds3$--gR!_#% z;k2e+KFj2wMQO!8-Vq|TiI~!7l-Ykrln!f~LOn{Yr#NU^@d|HP0eq+Z z{IcnSJ6vT?ebwdJcAsRF_oc4DA*}(2vvC=Dh9ppFK1UiRfdpX@2Pv~t9ThKtCykeR zBt*gQ+l`25P>d*?##I30QN`k=?OWoPCYTv3LVH^tTu3>SnLzIa^cAqm)QlY-@*wSx+T7rO5qEwo*&LZJ7u)g^lhb$$AMPO?agN%Xr(+j&`N20pp{*6pp}C>ku_a#QZLs}g|K{4hOiLT zDT6o0T^!YC+d+xdnWsa=g}6#B^HbhU?s{xWR&n2mARf$*)FsBAOp=HPW!A&564N^N z;(an$#(uvs2196S!3P2&vGvocpO+c3ABD8Vy^=MPeF?^2;G*q^WGLU&jh4E^^b<2-b8_+reQL1NV+KPH3E|%u-=Yi2hmcga!R?b`T-q&e5d-LqkOe8`9oN0r53Yu z3*CG<(bag2PDEE$qcc$kyE;^E*Wd`3dBK4Za&GGr| zZi+{*e!Ohbu$klLhaaP>;6mx=?qrl{qd(na3$!%Wfr?-h{O8T!7qid zav?ZK&@HhLGtIUUOJopDCv$K4^@`@+YJYBp8l7mhXN2gJ5rYK+7_05C&oOSPrrMMt zGl4;fh-MW$Ms*Ufp@>^SiLj*8E;mpbv2KF7U+&e!rm4t zCO8F%7mQw=Dn7-+t4%}|mql4zhXG|(Kv5QyG}6Y_?5s-?dBz3SRjt{;FV{Lq6(NjC zh!dBK;d4r|h>xrzk5Er?xKey($g zC01GQs2IN8meG&}t@Dcl+GRdJrfr6y4yIi=UB0l^(ZPRb`zk!xo_#$YJ&vaT@z*{Q zM!NEi(}E{^ECb9esY`MQZWI@a3-73YdTwvl2!Bozgvv_8K|7!bC*4k`3f_eNwxXqX z0RRE|1J`jN&he%TrVq3=faiQ>54cIR z$h{ztfOfvU8@V^!V|9T*~rvLl%(f_R)sgMkfs78*@r?CDjtux_CSx&P+=fy zE9Wa8&2VbvCo}|d3hV)pswxy^;A*(OY4i~jD4;Q>a0orG(h5Q?lYd^J$3|=cUTw50 zH1pD~;)GXe4JJisEa8|qL7jayN?S(Ak)39#gOoRu<)Eo+B@{YJOL(0O{pB|;irzvv zsul6N8&l+0%MiJ{(1cz}D)7gv)g+tz^L44U46HXAl_Xp&P4Clh{Ebm6&j*!~tn% z=%1{M=8sJ&JKt%*cdwnRMfBRv-D2@2X{QvnE}5%i8ZD;p1-$KKc{q&ezC&vJy8|z5 z;BC+Lh0%ksQ3Kj)TI*~+M*t7A`D+aonAG0j%9esRCsV2H5 zgvfuU@u*j{P~4YCXB~vkZ5is{w7Dx^eI&FU%oc92LCdVt*{t|50Hh|}K<&~7)AvK? zi-?gar1Ju;G1Hjw7L3xH>QN|+dOOe7oFnTwu_HL|j9uCND^fErYtuelEM`B2&(y*@ zLWFoFl*D^bdUen=!?CT+=^=(q8@AQ&VG9q8b$ZR!y2@}^x2QTJLj&~?lZHb}8E69* zI-*@WS|^2$R%59xjH0oRQ)mmbwOE<%BKOvK8CK-XDMS+^!l}ey%$5O*1k%(J^|NFc$VqB&>h=WA$WAfA&!b9VAwY-m!bPbe zI><`Q;{1?&{+8u``QxQ?9p2J*hSUVgoB}l4iEIpuz?w!n&c?gK-^1A_)A8+bwkCZ2$#_^m61F*l zJhRJoxAu$(%j8+me%)1#ch#$fhgUONX^v>%ClP>>1O1Eu;G6T)(!@oiDk-&nlGMrh zguYHbKx1yL=Gd7V(}#IB5I{&=;kR--w5poJ1}`#0)%r*gnZU}q6&$o2G=ulYQX8`% zzm_E<>oW;uz`LaNyjvJ(s&>mynkW17PuCUi3uu(4xQ$n4jQ8T*0!pdJfjgGzfp4{2 z+~$LO`mL3cu|E67c=Ws2>+gTzKvKB{t({--^r*&xjIsuTrArK1e*IWw$#@6m%!I97 z7YUgS5-dhTc5tM2Ket{1fFstgfa226VsQZ_f)nxr$Q402#@~%c{}Axr{9UrK^j>Ou zQ0Ptgj1mzxb0EctKb?7q_^InU5|G&#!ii69`>@tPBOUt z2as*7vlQ|<79;k|Zl!yzSxZGScXjqvj0Meh*%q1JLMF4AO;Ip_Va+bRgYYGC@`H#R zI}A-Or;*~8!6M@x>}&marWnYe4(K~(1T2WSM32e?!N&QxR>Q9WsDZ^*Pxz5hG-Qne z4<+Sy#ZpyBkTtfw(boV{bV(K$^OR;L;?Br?(DxiOCfJ4W*0O#{iS39H^w#RwgVal- z5AQazmzsLwi`;&_(iCve!)(0RoOP~pr6hfp54fqelct7?6pbRmL%oRX=_QqLD!01_ zlvz1wYALxytq=YwI)`W+&fpi~@W`s{$&HH5moW1aqxTz#V0!?4w2)-M+!ua84(*)t zR`xtQ6^^OfWn0-5g;fSE3wf7m(GKDz8jkhK=!5Eqz@uz3b6bFkQ=P1C52w-nR`GK6 zOq&w;2=w?NAVb>MiYVl9iv?Np!aQ_H%&UDfs*;m|Klau!ohX(bEiO`FL?uc6wHmmP z*_6Qv21ye?*f_Bg<$qeQ`KFdv!z+1?Jk=dtqzoN4>qbx56E#na=ZP5vXrB_}tj&0b zfzM4{WT{o1m>!!_VT<$(P_xG0D5+vjQ}YF0LzRhjBcIH_#kXlmua0sS%7wW8FC?Zax`;yg>p|eggZ~=v5*MPDo~KVQRavSsK3=Tz7S@=;J_Ja zpL@;{0x+J{HZD!Az2<3g6DJXdmPLXSypVx>FD-mV?;s>ymkYD#74a!?S07?3T;%V4-KXbiOYXtoG(f z!JrMgn(YgTOa}7#EVcgMmOjPt z`q6Ej_I|L~Zen$xUr~({W+J$Cmlgm6^3GUFQE=6--&fF!`f3q5MM(G{=LzdA{Cgj@ zn*b}s3amr+oZG+#51RBoR+VTrlCQP&C7%~bsEeumB;v>>PRd(X@b)b3NYV{7ev+Is6eAk9M}qQMI1jKh4`kDo~qBuj>{p0<`FQt6kNLbFmC zqN=LN)mCPl$%zFf6cO6^Gl)kXN(mKJ(0R51RieXU!Z98G8)uc`ax*3Fa%B5yXF;Sq zk_a7TaP=;~p2^E|B?h;*2 z?J#ibb8{26qZ^T3wJKmcOCG5+}m`G6d|J7H~_Vt3<~}K52xwHY?f_lg^dD zCf>g$fK)%@b|^fAyOK4)sXL1M!cTu-Iq$=4Ls_cNmHM1>N|Hka@~5gE98kOa0o9Za z;lYKDSJ#dY7_oCEmAYU(M6`b8m4a=r7uL?>MAeRDxp`mIx``&U61orB{oTC6(l`B5 z-=9v<5h-UC2g_$DHZ;{yY&0Ovt#E-22TZfN01h3SZZGz$E{EL|O(JbKMI=`ea>cC& zE6yKrKBRc+Hg-SzxJ1&V{rk3%K}TzKq9|Y}@geAuTyyH)hueuZ`1gu0Y6g*9v6(|A zQwP&2k5HS=z$dE)!Y2LH92z)mT#q{1JSX{Q44K9VrfPytVyXer;o)Sgig4kyPxeb9 zNu|w14$(W4#MG z`nZDvm);DB5fv~k*xi1uUHJ~r0f4Sv3_}VHqawD`BXD-0LO!}Z0L|c&7))Zv0O@d* zOUhreGsXd9Rmm6UU2ZRJ^ZNsmVn2>s8{Guaznxe zS%~LNa0J8r`qQdrCd6407XO7UhMQJq)yOsuJV5eB4hLd!`}D)}cs{4wj7h@&8WMgl z<3=iVvIh3ayC?}xT*A_VlZ@qE2BYZ30%RBkePh%EYw?dFf(OM&Oq)#4fE2LHXdF;Y zEpn3+cYEyxUgKeFXi!E)s=zAh3sSdn^OTjm!5@@!EC<-@PByHylQur3p15g|7xhLz zetu)nthSyy+*b%xSfmaixabeB$C9j>Anw};ag)soLLIN99 zI9D*+@SstheecdLpYGTcD6-2CtZC-^M>=a+Y|}JwO~8v z6y_Sl@%G+yq|kGuM-&V&)=@L?5FV}*YdFV%z~xRQpd|zF!}(EgSRYPhUmCujeYP$u@UFv3XdRg$~5b8M@}(c8x|IW&XRUSZF&e5pXS~bXwQ4+tNr; zN@ZG~$I2NGKqx2+Ge~MJbM*`_y46x~n;}#RAv`WmqKRRo5A~~K$_5FeViX1e{7P&X zN_cafxtOzIsc*Vb&I`D_OoX!_=TyRLUZ5RM;={PSu-nN(>F~rQ8xhg`{vBNObJ$%s z4=g3X%mb>4KRy7%RWlXWqx^hSfY39b2>Xl}+ zqGwnbmch}cMm*)XAS?0}r-z8Yo~59fpYbWur}$NQdbEl1%bv9=0q$+Gkp>}yK6|{0 zMn^Cj^YN7)I?3Wx+k3_AV?VXniWxLlUexuB8MiuMY?KEJtP=~Rj_MLvX?z>rloU^& z4Qd>Jk8&CFNWT2r)%}S8Su>KtElc-f;e$&=yB%N7x@-%U5??dUw$VK7V7&%mB*(zG z>pr1X@C4Fp*dkMC#?iPqeeyy-sb5>dMHq=OX%8~Y&Z5nCI zTp|Y}0p);i&ZpB6e($Guhc_=aOHiC2OvYDX-Cd3mWa^58*CdVug-onr_c=n@IEvC2 z7@5g%WKF)HyQ|%sNXP^wn)wbagqsY~JA;Io6Odybl9W)q6pffp>!3ViOqYc}X{UhJ zVSJYYK&7kti?{KCn2$438T%RvN*N7i6t+wc_G|EF(cbotz+^Cg+=v9TU>B=Hm;_*))q4 z1}g8Ss&z^Wg6V90lOGk8;S<1og)3%Y<3r+RwjCZNp;FzVZ8w z2I604v`tj8I$--@qix=jjMZ6ZIgz7T+tD>FOqNk_(Lw{q!$c>QVrEA5h}d>eNtRX^ z%dA6k3SE`XuVhq)3Y4;tkTN!j&2`oh+PsMkcPRiYCKiRouuuU6fFT~0iMklD9{DOm zErr{qql!YjkT!Owu`3YlG2>)eSz7Z1GOrWwL>yxd9)iLAD1CwrN<4JX98lsypg!ixQ;aXPpvT!mV{qhiaPub?JD^oKPhQ5*qQNrdZB<+QVY9tkQi(x0 z--Au5*d5+a0rgYwgEO~WVmsw(`rQ|8@d8XQK_3SG-7lUhQ||Y%UUJ;l)TI#@6ajsM zRJ4L_+B>>g>H$RHAMHgB^&6cw-9Mxz$Y~$w_Zkqm6p`9?ZP_*xyNF`2d@btqE&78z za9-bJ6$N6BVBsX>*$?OL<<2c?XHm#yo)D{7FeO?3u*!CTh276l!8WW5=TCFc7VmD( z7GX>A?+n*`RjT_q6EANX#~^}QAo5v;wY}8*0xmHeuPHwSBgWUMcABX%Fz}rK0sNX7 zNHf%PJocuzKSaM-u|pH8-!^)imLW�`Y?hv)+lZgeROw22ZM~o#e#1+mtxGO^7Sa z=w?E25k7DUv|Np1-vnCvw0dxKM0^R*jk05Ush@iB$cY7#5nqt~A;tOXJn;}X!M4$o zZ*$LeH1NVjQVHUltbrl$ccO9UR&{$9Fp=y1D-!$n|G)*79o`;~ovr~H8xq*(UNg@pIZh@hZwC{IUg5>uS7|-fzFG{+Kq@NT1JqdP#BqGDXOpWOsKo?IW~H1!fsU+C zu#YNwRVIytRV!H3-`1MGcXELZh}73V<5U9Dak)K|Dc+sV97fp>I+_4NRA7hcXsL)Z zPM1zk#Ikv0Xg}&4l~t-ya?q4r8p?^toVbx$ zd!A{t^?qVjfdZgZRcy;A2VKL)qCO-V#g$1>#y+ z$*km2A(xeW2~JiL@M^De34yT8-{PEQPI!+c8R0P%74tyZweQziJ`wP;?>9fy2-x64 zv@+Lz$`ILIy0vk)F9yo?VBW3@X2I=<9#A(|G63JJEaK*TI#IH~e8dDFdXkz}Q_ImK%;u z_wKL^KbP*ltUng}D3f?Kztn5a#$y6F#sWhz$g{{MuRT*j{Q;5v>*KgF=>Mw4aeK>c zn9E#O1;@TkT5q$LV1Z>y{vcfs`GdM8%fCFx!CNUbLj-_VpDXz^d5HW_f|sqYt;Plz z?Cq58n(x5o^&Ko0%j#f4*Z0q#!twF6`?)IWCj>q}o!}tA0MEe!lG{oL-nnoC_Ho;n zY{$g4)dNL3vIEY@M1Eenxf2yQcqM10c#`M^<$ZPG%68% zua)ndOwcB=F%(WMA}$morXNxzU^`Sx(zE^nM%!ERqJ$(3a3gRtV-%Vym2MV~o>@F% zMWbi48)K4)$n|$=Dg2{F5)TfOkKI45I3JwW&WiL>>1HBuINf|k zZ%PI1%nyW%DgK*tN!;5cCVlR3le(}Z##BQ=t7=119e1XPyc#F&iV;jyB?G`s;CR=K9RSIe z1WQg}j291lqsmp;I=;!=4Kzg*<%&zc$tPO#?+UTV@5`taPYlN(omKiIl1{mN>xzmY zD&CuYn&UBet-@{gLt7*}$%4RxIRvUY&Cw4@QRWj`a;Pfz`xX1mq;-TXVs(F){DEsZ zWZAYT*QHGzzTc^2FzjJ5%s2~@W`j+hk8DS5i5`y9wTTrK&B|<=_%87<O2%h9X`k*u61aX}lC#i2b4;4dE>e%$v-5>3EWYO!L z)Iae~d^&!2T`EY(vMNwc zI@q6GIk7-p5eM)^o6C!42HeB3oX3ZvHVjYHkznfBbbnE2AbsC2HhDZSMfO6!=v0J~ zn!Myw&a@v`)@$X&3$1R1-)z}+E2ZU^RS37!np@Kf(0k6jRnXvgtLjdT zT7>}^;kUdN$?@GiclzfcVBt4+BT($AcK+aG6Ho^Qr3w&>;$Xh5ji}>Rg?h>Ayf+pP zKdW<(frx;Hw{vDKRLs%)i@O=4d`=8tT|78Kx)H;W&rs0sAZp@ z0!A&^r1KLSFd1e4Pv4B-dLUbc1U_eL=?FhoAX~jYOR0eTlCdH-+Yjq>zy}~@YUFdZ zO$Qx}k$kfkk{-Daf;O%Q;#$4ih0>RN29BO{4D20(MyO-Rz6S5t@<&3LGm2WReGm?M zkAhmW-LI&^z6io9lt~;A+e@Zhu}B~~pJ0EKAQSG^Nd_;~{%W2u1XSQ9SUQeik# zD~m5w`?h((eVTfXDHh~?CYs3wHbmwMb09l2r=8SM99As0#E$eU-argw_ot#5HQGz2 z9wYHMM>y5y=Lpi$F2U}l-H5!6QIT$yMj(%{Qw{|U(Rh8JmW~AM>wAR3t}*#j4) zni-^AqGv+sDvP^b^bw0G%7iBoi&%j+-f2%=TZzJnW=-RBl}CIcLOS9zcd^UqNBV0Z zN>wGx531^^uQ4%A%}ut1WfC>4G?b}i+g+$Is#2EJ9XRG-7JF*a17SAfNfFdFC&9DX z^xA_#A0>7+C#=LR~F)0Hvj+NumZhdD%LatKHTC2T-T zmh|uIBiLj@o=r8>z1ioZ12)9P#GRni>V&vTz`W5|KSSWKwUz{x=Y>Ow22x;{@Ufb=+pqZX<<>2jMFlB$Y4R?DH@a-fCVsE&xD=FOZA zL=8Hn zoG{~=N7fp^4@9#24}5Gc{U$-C;3*x#z2%eT>CwQ`w0IDn=g_2~sO`VA# zcYqrp@KtlH4s-E@qPOu>E1&@^dk~aorBG|IQfd0USB>={dlwo;)FlRs!cUnKg$Cs$ zkhD>j51~dK#Bp1vG6*^=auTB9)1VusC7haz7Wh|*EoXMi8F7e6t3!OY`sh?nzYOIbYVR9$(A3{nbEbRL-YqL{bKX(SIHrb!Q5SuhG-+i*0Hw-Eg>1$OO1qUz7^Rc(W zyz7)55F(oDz@nuy^jZ~^d?h!oms9~Xg-1rnsF89H%#xXP#e1RkE3GZ^v82@#MNYt> zf=XHV1G%8)AL{C_f~R`)?VwCIE0O z2^6BU$A&j)V)JX%gtNPrprxE0gU;FnqgmpPIf-DT!^SR}z+s;VGV}%41Yo)XA1qfB+kYfSL9P-~FTFFGqXABYm8;8d9gHu+a&r2f4Jv+W0F& zR^Ymy<_{QVb~}ST$Gm7i4SwJ&(%-09X{H^eF7T7X)HJ9feAzjB^F+GrDt`BFFNAJi z+GvLZo#na7?IJw07HC7D8IYkJcqomq74GN28~Sjme*39UwdJ13<(#rZLZyu9E6Vcq zlaLOwvuBVr1`6t=$F=J%E8(x2M6i*abOZeFwsYr+z#`T&2DycL<9c0 z-xO{crlKlQhQiW)B0p{WW=TV=RZ6e5y0E!vcQT%rS#v-}^-TnVhl-($ZZGvJREXFV zp`0H;Ast>p<)E!Op+P4=x@Mkld_Z1QtY);a-2S#H6==1@I68m`(A@48Gbx;uy6JoW zO65Ff2!)q5yWI_O!$Am{!vGgu38<|qNkNDtwEMWjhC&5?(KX+_LK38K7scKvnWsLc zwx~ZetP+GXLw1;(pxR_)bcuD@ovuwIo=1(-S}^?p9$X;2p)t|#X1v|rQb0(feEp25 ziYI}6(60W>o*O`8w}{-T2H)S!BJTdakfulqp-m(?acQs)IM63fl~0PM<&UHIg<`3; zYU>s$plC!VhX}_5ig@Wp1bi{tM>Af4j+v2NJ}P=jiHp4TeMdNFk-`{gW1?nYMcOhC z=92lenU?jn+p}UyCh$GHu3GOAr(wM7748hD-t!^Dj|Ep-l)aRtM*QF;S6v zu|4`D?Gh-!woa3qrf{(}#Z2%brL3ui!i6mxc1BY=2)Ts_J~?7(#aj@GPB9N)c zQyL>(T!!}|W&9;IH##e8)i&uoF#Je`+2{2S4P-+PpY$mHO68N}bZ&gS-Tr!KM6b); z_T=}J{g6df?qQLj^l+Nfa*7lvE>svQDM(|GLX~?=c~CDc$bxBhR4Z(Nm8A%i0SDGq z{0R@~DqV8Km&-9Fm!%6K)nKD$*NsuwD=khcwj~LJ1d0eTxgvrpZbBP55iZtRp~U+u z{1#b`oH3h(j1Q?1jM~l=51F2j*Yr#q2MoGfyS*io+TQu=w%AqPs;E9=$tba5){Z#v zQBsu_5W4>oj)wn78Fk-TcvH~QJ;XD_5gBYYrLh(QW+1)qr6Ck-L>3G>36o(JlW;?{wY2$wxcSka1 z-M{~fr$wMqp~X;mL6QkWDKFb=j$&s4Hn9K~y! zS!vT{6+9F((=qSC6#dzL(VXP)5JzTrV+0YS-VbZK0#CA~G z(vW9mO4NQ3Z>1p2uBWxdOF_pcn~6coxfeOm!JA~jX@15JmLQF!FpQB1!%Bu>&xgrP zRn%K`HB*XX#!Sec@&oOq)ckTQGS{Z7?-iHcWiJ^CDJAY^HjG2Nx!`20t`Qjo>&aHf{A8qJ=@>p=x`MkEh_Lza?)#XIyjH0;01~r zgYvk?(6O}|BfA0#_r-yJ9o&_SzNNV<8=VBl|3{i`jf_GCNp~U|NmZ$Nx z*)d;WJVg8j`F&YJOw7%HQ%jU3mGp{;37r^N(L@$*6*;H`=o?mB(ugaQGrUP#ZZXn5 zrl3HTb<7_#GUG?3KA*T(h~MreCeX?3Wf>7uSl4OIVL6j|D{F-L+! z)na|hS!!kxH#A!?XSdn{lP*mzC7Y-VgeM1XbI7u4HQgYCEj09$;ZvDSrQ2M{gIPP& z(HtEKe@F$b?K^Pv8OvoCtqwUwG<#YZYalmW-)*;|Yl2v!u9U%8mg_|_4#G}}vVK|v z5^Rqjft9s3t&5W$DMqk}q%xGpWkFd;qv3(lIIw)+uhcelD+A~w4U1m80WzEfm|V8l z3OlPILMdF~xt`&)O3_7qdkUF--m2Io({0VheCY<|zDh^b$1H|ufd)2mm+HcOsF(s1 z8evrcPHi={!RYCtr3ecYqiXcxC)b-w&GlTu)X{>fqmqbQ3>EfEZIP@1#Uc%d4RDes zD^FUV6Q2Akv|`&|YL4MHO<;svCF{giY^|Wk_+?AC>MBAyUNarw8hmAc8`=bA1y8S) zW>Hck%z4HxXlHKJl%Ru@j}8f3fCqMfgsK!9-R{|5avbd?9H*j*S=q|@6_nVgIjPZ5 zILSbKBz9vQ6x>juvNl4}qMfi;?EL!KSS=nzBx>>Km*F-AOPwAv*;#}T)BBKZ69qF# zC@5~S#1a!kn~2tx9P|uYjwLmvaKgo}XE=n489VS1Y>)Y#by8n#`XbuaRcyQ@S0{*x zRR^IEes?Adt~~m8ys#5SCV$zG6RSP#my9|)z^sbn#7O2+>Yj=*lE?FOMtMGo+HQ1` zC>Fu;q1LzFclAb0Dk38mt?LF7K4kZ9^L~5Pn(6J*LO;sJ0><}WsjCLD5=7Pb^ExoobPMMt7wHlp!F?$_jgdO?0_It~~x-Sp|(9n3#$57^RH4xJ>w;cy~n34jJ;im4M3L z;u54Dig1j6O0qV_>Wr>sy!)NdoB-IARg5I&e%K9)@SrIBgBqg5vyXl?h6dk_^aZXc zRg#F?@DWmSewqb@4kv$7Z19-zQbGlJ)^J5^M1i7&48H^}U0_mA20$}i!fx~d!p{j- z^~YRMvk)rFrP}8xu;qutSomk;+M25U*h-FM(e>E-U44q=&cqSkC4zxoxM+akLQ3i7 zb(Ax`({9m!?EtOTiv*2LS~PgWj6&WAV|q7zt#?|1v+Wc5EyOIKmRnZn)Punw+C;ZJ zH(fFDu{y{sHZB^T2YG_yH?7Is_k0Jtxto~Nvdg@KmZNx0wY8T$*U1i=MRfKbvm)nZ zQ+MCDCPC1x>$5|HHiGi5elV+U!i zur4d#k(Jj>s>(Q`AxznUzXa`Hbq$@%N-F*p#u^sJz7&#Wzw}BnBHj@!00{96%q%3) zh-pt8tave;EiXFO5Obuyh&Zr6LTE7x${X&aV}BfSA=Z*u+d?C+A;Y#3vt-d3$vUDN zB!xbLN+A6Za}3%ac1z9a%zKbg4k#QJ8mNE&6*5o%kpW<0j|N`2APF}%OLk_C#Q6@? zSwCR^nI1S|*-V?xEXE|tZ*9K@)!u;h=RvhU_-{Kq|7}nm4F2iizx{86>TvK6|KXqh z&7e9O{O-j+{C-d!4}Saizx%sEbuxJN$KMXB*Msi)vqAM{ururi)#;#nwlk=vga0_} z{?nj38|=^i75$|Kaa`_0NN9H8}pS z|KVg%Jr2J3r{h8Oe(=qgUoh8)!7so4=9@wFaWMH;4EAX-+?foj9|q4f<^TL2gBtYe zy%+Q`ASe5iZZxW@?U1(eNUDoT zr3aW;7vD`V4+FN8O(fJzOwIW#%{=_(OU?XzG}OeyFP>}SM&AzN)|heqb3NtN8dB&wZL;UF*{-U~xCm;fMt!^+&ohOd-V1xS2%W{v*tY{;mCXBs=t@%BuPhZ3nyAwYFR(b+?5vf2xGf(?_%tinZ9l%5P z>{B&is)I=@8XZp9#INW5F`W4~KLRSYu^Zr+55 z+=eXQP3Rq{szng~KJd3rRMo>oL1u;c3GT;0=6&4qA+Y!uSezwo&{qKr7Lwu~3v=_k zz-b!5pc#S?u=T*j#O$91YV!c*CIkfq2?#Ay50geR^%$VN573ZaiPrfpZpy5ww#K5K z$$r2)K}>dEL~M1-Nud2YCPYC*%kM&nrjzHI@O;up=b@;+&4PHBK|Clb=&vUueE_e} zeH#S22^CsQzUtbqt;)Z`o-8?Bhk2pp_EuGyh=ck9<_nycK~v-;xNdq+1Jbk5v-8k1 z%d4QVV9Y1mn*U}}izb*5Jr45(%|kq3F%!Me>p?wZLSdTXjv)(T*mNOLfvI6i*|`a% z(pVxbnxdB$eUY)!a}ROnD#k=w^kYiPN6xZC*e{t^kWNEP&L<;5dJ)nx3+gkkMw?H* z(AZ4>$^&Ou@Os_0^wa#zZZ}>^yE|Y>k#f{A&bKhwNWZBSpQm6!%>v&pt#yABNJA$ts?(V&oqF=+<%Jh|T6 zTI(}LR`;Zl{Yle>&IpU%fcx9`Aqogzh=MPIh3>oyIwJ$3b58#~CR5aa82UhXb!#uY z{z&DO zMDZ{G?$;;^g7eLn1Nv72u2=B^b#iJA1ax$p zLZ84%Phb%0Kzy1O6KkPZ`55>p9#4 zk!<}AN!QnO(ir5NLQnM3kZ(zyv|S(64{%@iB=@mQ8fG@J0A5eJXUGqP)-9-*289@+ z(4*KrsFyv$X4FBbG4@@=!20L|`ySTE_J*-F1xg{=ybkrBPrmNjUl{RUBVf0I@gkzC zd)n5SAKlgytFTv(lP|yg0wKgBNs3oQl^QnX28*F@(+H2S>@tSEWj7wP3HzZ0hdpS< zh}SVVMn%Suz*!Ub+@P)~nV4uW*dS;=mkCh_m~1E?6BwcjT_u3ggikHTBE%Ny)h%h+ zmojt%mQ%vgK|jriW7Pb;HSttDuZycN7>K;Ea3hr_cF(=KB{_mPoktB>k$#q0ckd= z?fyl4zTO*?+*I|&9wq&1Kyy8Vv~5+tyopin`%%Esqjadzfsbmbj&v_CYlvG<U$zKX90K&YGFj78h}kh%5H zkw1M|Uyp%BpC=xxs*N94a(V&9uW$T0priUdUxA;#KEV&#=Rk%DO!D(6VL48O-+1V%o&knNTinxW z1B(t{GK>EF9A?kuo9pU*K(Kodk^#{W&l+YJuzjXPQ0fD&Z_?vPLko|~_{bS<1388k zHtV7NHHUbWSnMChkVn2AVgT^RiE{#Q0QVtzHoidx?!s7x&&KZeXN--h@u$4b`f z6<_7+5`+~;YI5@8nITLi&(EBM>Z_+fG zLsdNmNWrrlEA9~+wHHOQr75g&@F+iLDMRN$A+G8s@Y4uzSKoRgYC_)$WR33MR)O^Q zpr=W1rosRl!ZSf353~%t;JGdu{GMJ9J?<)sGnt`<1p1bkJ|-XeQE;tT;;RSExfDPg z^siW%q(hp@H18+J5(z9cx+hvsZT2KgaHX#9#yeuq{g{HISV{R&$RPxtT@<{S1%nI8 z?&2#Vt8p(GS14ak$2=k)wt99hB@)|*8W5`^&6pb|nKo`TwfOWS`k0fX`w`!}m<6&o zVfIpC3ZWmSYmNL31Iar9n(hY?n7V}qLa+&*^~bi~(x#*FV8b zt4FWdU@48d37GH33j27}l>Zp!3Cn4_3hWx!&J9MV0bJY^x&F3me=Bk9{_ri_!%GR^ zSy-9HSa}2s?n1*{vobKBW{1V%G!i9wyo#_F&BZZ@BDX@)KkJXjfNFL(=FldL8=(P} zKz7;$CK;RE^ky2$AdZNQglYk5LL$xFeM&sg8Xiy-Jc;5Gtw0Ho+gNuGJiH#=m6KLd3i6k+F zbs|;r)BPBGHE8CF?Mc|`5}D#IATzQ609!nBg~!yKw<$8cSO?9{$6rXUF2)n71&D@; zG^J1rQR+HO5uz(#6R+i%H<*ZDfBxb*mhSy{=hdH4bAVC&@&MWbV!047R%pQz3SCz} z=+{BRyK3V$$*pdmrz^#OGdA=meUq!@{j)(S45+Rj^k4nh6tkhrv*c4wj-}?ZsO*RC zOh{l$&KIw4f(&>^gKvkc85EO3ibog>A(}A>HwO_sa;hKEl%y2q+Ua5d#d)Zw=Z#9w z>a-?AqZ)?zOCE8)ABh-KiQcIZr$Kf|67ze;G|%a0?liHeYtKzEBrAk+h~GFFrk8E9 zVp|F%^|qk6Z>bqFwKX0zxBHfC=<1*y5~Tg;?V<+6Xqg~y!|0>dK?$ohPF%a8R{-XOz|8Dh|{ak?R%b) zJ}uK2tnyjsLm-sl^zE3MzY&^j4|s7scj^20VS^Y_kUCbfv2?h8p4I~)-YVvr$i*fO zBVueZwN4f6*1zF^PDhyEa&)ybF;t8cOw?yWeayq4t**yf>2mfVj=d+U(B}uFuWJX* z{Yy(XF&|b$G{?@0rq#;`Wp)GL@4{1{NfItZ)-gz0gu{@O?}BNE$g?p1F2*~`&+j~b zpIYWKM{yIf?@2Ssnuo$*VKnW-n0KOqCvyI;_>161Bz%mp{ry-)-TE9Zh&ebfU{6P* zN45M^U%whtU(;2q<)=_qm~W*e&@#Z*M@x#HQ97fMZpIw-uE{wIOp`ma`yjZSF{;kZ z@q&Q{!8iSpl;!8+@i+Xn82@f-{Ci9=GyVPVU;-(nNJHQnGGe3|Q{I`={DOdRz;{7< z-IZ|U6z3@vS7~qYmSxJC(rd$+dV$q6RX!iT3j%M-pB2Yp$@zFka(6KvN$fAj|7kq> z&$6Z6<$n^eSUNdc7NM-Kk}kquk>Gy(o3*|LPylVi` z*9@Q)HHn?6Ot$zCKUrcop?l2=A|SB>9nMh4SCivlCYF3kH@6i2y4x9?7zZf@i!H|a zbgZ^iyetv1`61jgyPF}YB7AzX)N2ciZq3w1huMO^IYR|B~sQs zkWW0b!_JbUZI8t~>2njb#iD8w=F+G(nilhf-ELz(elFe4G7B_zltS&Na0w5Xk8aGiAzRbdKLs|7R3wfx7Suzr>Rup8SKIa5$hp z@)y=E*yv>DF~)&^;_;)E$oi(QxEWN$;BLV*0%$5egXU3zvD8A@tcXWZQnwKiYkI(r zh?rkAorw;-VTTf4OBBo&C`2c^6D1dKF%bIkKI1+lL1U+cE_=21;G|J8hxuV#1{`Ca z0brlKWm*s3uojqw3`~4#&FyRENVjyE7$P9EoBgnx_Im12!x|z)ij+TkoP!T`v?(M~hJgRBl z=o`@FSI^48Ir|$u#JhEXNuS3j@p+Qp-{j}1Kda`|{4#D>+%r1h@9hb2{@CB0#vccJ z+^e2RhSGuA4fYlls4*)h0(LcR8F*G!d z-Y<1!(6T@@*IznYB0hWY0BaMx_cMVFcn7;X$g~-c)HScn3x3!?NaDRYHGqSbC88Ys za`tqR+oXYT*Cb`|SK_2bz1-go09oxZeVBM3F%qN)9=>W`i@!pG#hko!8Vnh)`~H)6DQy0^;F_op7cYR>kPypk4?6^JzJ*~5;^7Pa^toJGj} z`q$urx{~AW9Yjc0bS`5cETI#^i`yWV5oGka+y(nE zm~Dra?^^*u=XbzNf3`+raAqZUsAfCZe9b}Wj7E1Etg3kc6xrVT9QBaATH%`Bk- zN{#o!E{wo~wk!-KCm!zt&HXo);Hr6Zl+tpH;nYLZ^S8l`rMbagff(#uVkKlk8ms1_ z{K0W>fz`PgWyultm&x8MkAUFuvj%|uX7?S?3atbUngr731pCwj9?l>Q062w9SXP|A z4`VgZBCX0Y6@G=l=z2kt{rbU&*)%i-TPJ229(MY~-E)(K(cZ>{k7pKN1Z5?*3|bV6 zD`NXeSWAIy0>75i5lGXU^Br;mi3#4G{Rrnf_+-sw3_XMBLL?lLr5EQ}29SEFCqY~7 z5C~{L-wwg19~C>+RK7D^xPKLsUr!lbliUeRwxfjUNbyA!2=3TO@DQ@I3@u++Qp}=W zY|+^Frac-9rOcZ-#!S39(qm0!xq?I%b2u=&48q>raCQSAAdrM&yf2Z}F;HPNDa-8+ z4po5t`q>Vz5`if7-?8cBGHCOC0gPo;VgJpu9nQvmzw-rUiuwVPeaXJqhaedoWkps) zk#VFV*c71$RrBurok)mU0=_k4z7qCqJ^&({lm{3iSfGX^WVzZQ;2N~7W#P0$r=xUU zdoK|S@gdw=U7uTu<$(@DKBf;A6z%a4t?+kfz+zi>0@y8?EcH#sq-H5dqw~V_U&q9trq%C-u@|bM_ zq9JBH%7JT~TU&j`y9t&jovWR56ucnBTfXpt)sE%i|qL8X1JhjGWnj*ffS5rt>YxrsTjYjeoyHi3JySt2dN_ z(%$0TBUDd{+9wHIf$?Ap;%$%1_~N!Gq>R zZ^X;=ow6ztSH%!!){EfIbSKUr+-aZdWQ-jS{Sz5kGMC_Kg$kW!IJv6C+2`MjLS zQqNBPJGT5nWKlNBEr`J8Oe>D+l*h zNMUa=?#CmL^CKw=vuW`!NU`SoL|`P$?{@yku{Jn~b8h&{AKAHvM(GBG$k^Rs2ZaTc z5_}&SFus~GH!-f=t)7~F4A>Uw-*1bzUf@hT@dG^5#3}rUi7>kj5yNn^9!%w6N0n(d zjh@T&Ff8I#g1vy+vBD#RTGMboP|vDFJxWg0IIJL;tOBc@Nr&n2ZUBe@v1yjJ%Mw0b z=@HER-E43)~1G!Tzd|1oHain^=CB`dT!Mm8bl8N{Y9`!=gw}C^jnyB!_D=#}D3M23aL?AcUeYx( zMjbP~|6PQK4wZ`Cv+UNEQ*@r#Gw1Bmj~EvDdHiwisXtd1dK#O-{qb3{lW7YS+1wa zR5+8CGy|c_R23Oy4LkRIX-g3_n4!_`Q^?bb5K($k zmeo~LvuX}r?CA!Gd6kA9?l7KJPqZspaDfvw^MDTHY zRv9)Lb<27@1DTvMB9L(7;Dt28*47vl{yVae4DzGFvzD8Dz4v1#Qx(Hxcn}2hLQw0e z)E~pOeki@8pVd{?Sthzw(HX_55YVo5#MT?7Icz!};lt9_s!>|^zj zIzd1gaUUyOj^nK%WmeyWA4h&DusFD|d4>s028LipfCFYLG&|g`g_!;95`Esp$qP88 z`=n^!-G|G@7GbVY=fhW_f&5^|(!KIN%|LfM+pzp9rihzf1(xgEAf}AOMX#x!;UiP^5YGKCqD7}beBSFl}6+zW+lmwGAn$$ zlzEfdISNH5B^K66B9B*TQ%_^qMGpT78MB^8Jt)$8WA|vKMpAF4A)=qyB@Wd|iCC~r z?pV8}7s^U3`L2P%=P4Q`y7IC>aYw1Vy){IXab3okzRB5;X?_>Cn&EvE7!i^*#pqo` z{s_-C&i94UPF&ybw05B+h^}_Y1)7TTwxWiOEzlyCk_Wx$PH?9F%scZnE_$cLg%)p+Lep6c z4U>di!Kz@&JRh0YS{HA#iU|IC&QS7QQGc^5vvoZ;S+EGUepqRLM|O+Z#W36Te;^=n zu}5VR$!oYhoWl=(gtvQ4l~w8|ioZ6GC4S%)8WGbXJVIBBDABQTw09M(D7R5a^SgE= z8FDK86{=)J4v-Nm4MqtWEinxpkP+@Pnsq=3_i=#TQ14nHv>?c+OR0g(9}#|BhngCb z)g_xFR8KR*L`O7;g=ztFg)h1uS#$4$?swE|;W&k63k6G7W9uep+IL_ss1sPj!hSGW z#&}_s`qC`#GzefIqO;)z14*Rr(`A;tW%LN;L-%Mj0mEn%!H{JeKkH) zeE~s_R*Kab${RAlARDCg#pTXdP0itBfc`7agJC_uGg3zL=M|LGVBs@?JTvoK2PxvY zMHn;UsVTl`3gPQCC%;(ye3q;gb^9b7n0vO7bxOgQR0!G8iK05F9(IzCK< z-7+G;okEu_FBeF>xKEqXdYfzQfkFSfdOe z;-^qwUB8jV5q!m%}}15= z5ETk2uc*i@zT5d_Q&Zu_X4G`3v0EV?ds^+l$_t{h()B4V&!aL!{XprGxy9EdCvr3U zg4reUelT)%&&q=;x6wn9H04MmJzCddhTtWO)mH*Ar`!xI+a*=exMdLs-)Us?aug8L z{@c+QEG?S#l>KqkZ|StyBo3aUtnb~I#p;qBs6r(qIm0lpX4%2RXL@BbA%c5uYyh8} z(Ko$umVj(0UzPmHStZ+DKQ*OfD$mFYOv)McEi>{arBKxwA+waQny=DEWI;kSN2o0{ z7%eX)eBit{(HilyI3n)ySfXK=&s1aybFyN7ouEe)0auGe-WX9Zu+e8ougOW6AfZGQ zb#`$6;lplNItyQ%cqXW+os$>bv}WSj6|`T%Xm5o{l$%Z+vgpoF00( zraO9lba1L0ny-%cj`t7W93CI-9lSm|Iz2r0;XY65Pc7{Pa`nZ^ zzttc2_1RW|es$^F#gZru-20A>T=33=(oPf4e2kAz`l!C7w`K42 z^yv8YF|8AC_Dz@eIoQ8GJU-b!eSLa#WF(s}_Fo?!9qw`M&C$`(8{gP`@#f%A{|;a8 z@57WJNAu<)=+y1+pTwU{dwftX9vriprpX&_G~NweB)U)t*&ZFm4|R8ZQU-&;F#Bll zg5$Et^?M|+2Fj*M(xL$f8ev<2#ejTW#)UzuEr>mO;d(YLnB z-{K-0k>ei5(-YvQCwwa#+~Q(>gEHLGOwX2a`OF{KO@Fp?ik|Vq+xWQAN5heG@fFT$ zhC6?>i~Ct#fS@tsy557E(&v}-cdNe=T%bNt{3>;0raQaQMw5b!l zGWlT;sOFvD#+wG6_=ET=o(tTAJmvAEVBNeaPaOvm_2l?;@9@>Z{s{`^=j)T8V{`I^ z6$M*3ROs#dX)Q{KCbChRBaM;%y@SKkAaHl8-!z4~G?EO7agez?eR&`&r#ntx`Bu8e z^u5RJ35Dv{@mwv1hE4UUNA0C9B`MJ1B!(FI_EpfHHy_7^cl#me^+5`}pBr=>V(>CJ zY{wx@ltEyk?&{`o5t1KrTeo4!>S|boJVoRwM4p+dtwy04AwE*@tarVrVxzf*ch|=~ zkNU_TyXI<{mp|xoU5uyxBz1VO!pcJ(?b8n9Tj-DT2<&w5_cn|hPYh3v-V_$KZ*1u_ zu`C_G%0KdvU)yf?nq`z2;qv_Iz5Z(2@)wz*pGqZCyIYEKP(1KXX{S9gX2@IeTY#I> zR!=Mt>rhW@&xX-?r=d2CM~u=U(ng#1z$91-Rm#m#h(@ztge}-TmbZO<{3akn-94Q2 zKG6#qZ4VDZ@}+{IdyEwKw#Tnx%BR{aWiceEKx$1I@b2X0!D-SUp*nkI;7WN+tEVOvo9~uEirWt{kBDT`+E(A|m$tHWw3Wwd!)CN$#@mV*M`C^- z#<+eLh}O&dxW2Mf5{tbGLWOxJIuF96hZ;OnqvY-EZaH7jyrxGtHReaEGP+%G^C~25 zLzai{31JrxdVU;QRdqB}?wfgSePF6IjeRgv;H6CqoyMVOnr2_o6@UDst1RBoDE1ck zCxy|xC9HZC{^Q$&*C(fk3Peti_g@_y$a3zzKESkxuoX-FR9uSvEN&|eF>UaIk<%`I z5|9woFoHVlL-!_`)4M+feM7E7nC7Q%UY{b$r?2;pkN5Tu4^Q@v=s7(hOnvhjUwW|5 zUnl!}(2Bt51XFN;zan%!;NJ;qfB}DvxjsIWhd4SVx_NW>ng`zOG4THB-toa3;UBnH z^=YD0WcJc5paI=jt|cd=v;O4I!83KgK9!i!Y6H);Ko)XXyzs9(4!p@}2>qR2(ekw~(oMx3G z72;7OE7{f2O8k^#X$uA;^%grs7goC=i0ytMY|GnT5_Lz-l2ZGus>KPU*d}lZ&L#kL zvF$pnNC@@>H@g2z;nGjy6>je*pNBWeqeFAAgi5qU79;-pg%U7u`7Jrd>!ZVyZZtObG#dp(VV1zppXAF;ABsNg|QmZEe*{lVApWYxKc>Az+y6X}(5aOucOAD>aN=s?}B7H5HVyZ>Sud}^l$C4ODR^i@oo z)0L1Z25t`ig`2A8@L&A(=wJG^o+g%_ow8FxHKG&yd|#Cap%*ZZh(gcbg!5{K$A|oF zV_Txj#DG`DnPS@yv-x|D?q1w2^}QQyd>MAUO<`tIZc($cci1T*cM|-S2hS{^t;1_$ zQ-iI|(QAuK1M}mL`Xm|dVM~@+2$|_{ALCXTgE~ag5{WUT_sPI_bpY3}|G>zwCh8jk z#%7zhuJ>gZqOq-gHqET_#?j*DaW%X7q({cX)%we6eLOiDBwkkMK}IC5q?q?VUc#H~%28z^kKIpM7Y17^= z5>luZ9BuBeJwvy3He1bEU<_7t^`!^uhP3aMdpkPTFM?~F#9Rscx72|g; z*F8+rAw@;rV&J%?8k3_eu5z}v{REDJ=W{XYcw?sFOy0FuyfD)jMvGfU2xzyq`Z!j< zH7)%fmIW=<>Pj2lrQJSX+};YLNN}D9Fx!>qNa}3&y0T8|x4KK}-xi;CYx(K+cD8y5 zfOmLLhyj{J-Eb_*$4^;FY_?|~?;mDM<}Yu?Q0mH9 zP4}>vo?C7(TMzOHnw7%{EVD(Uq6%4!+1`Zxe6V1SVyL=1KVK|8Lenniclj3!t|5)V zh_q@5k1|wEk(p@SE*|efiCM%5i4PXmyj{u3PS^5sr7#X18>Ld4nCr^KAEu`mwq@w; z7@!#~&U+_^(BB%hVTfJQqbCH|_l~j}vEhmrl7!y1i`!s+8&n{gNQ#x2M>$_RyS+DV zqXen^FnXAu;f_Kaw%De1vzVsc9T!ft9V>A$(c1KsqV8~hGfyEJ2idDJo4ckrXW=&6 z?uNBjZGN5#Q6Mm4K4G)#qR53e4IfNf7)ZKOYJHM8EZf7-w|%i^r*p9?BB=>@vA7YHVI z?cy#}w5rcCWIK;QsjMsX#qz9@M^sT0OdRyVMDbg}vIt^-6aqw{sl+MGMVaPbdZ-#= zIEs#R=hMff?{1Ldw6dITVyxTCv|07=YJPVY)^#l)!|Un$dDzst$f&Bbp?>{+y)R}xHtp;(-7CtP%ONa(n@`2HH|>X60EC;i@>D~1_Pvd3qv1bZJj`xF9yud2 zSZs-GXd%_tZs(3({^bk-%GjbCZ+@dM@!DpD2BG3n(}lP5n_xWAXP6**jWlLk6q;>s zL9AvOmcA=;5qD^1)(^DBH`guZEZkWx$fPaEF{>f*=iAv6Gf~5{V%IW$XxfX%h?JV` zIj`=ySzITFx*;!)PH39;{d^TRv#_X-KX`vxfS!=jCm9+xWFKSkxFw1TfSY;x!^oym zf1BZIamPE!gy*m&$Tb&+-Q~kHEoytWh_Q!VuRyezgz=%M89(~iO%1Y6>^{r$f(ON6 zJWcFMSuD-NlN6QB=?>iM`aDfclzsYS`snGjnRI5cqS!MJ(X?kXtsvt9OMasb_qH)C zi$tCilUMD@@ibG$ur+l_m`rFACePb$l=UN(pm=@Yk=lCKg3vFPZ9+y?pP61%I?0k-ayDaf{yw24xW+GTbvN8TIwf zX^S_3Y0eUDM$Fq5(JsQ5tC$$FsIU)*Oq4NF2~xJ^cNepdu`rG-G{}y*GhEy$Cf46u zqxld0bCZyVov@ghqE5<;TP3&IzMr1qBvv zX=_9;d{i;|r8%oqmNA$z-0ym=B@MfoK#!%zExg#gSh1lg6T$qsxr_WU!@AM9RKGRG z=Rsc6lEDYHWQOzat#>fyT7(G4+KNeH|^v>>P=r`x+uw3oc$U%<bIVwYH8F=ACys%iCCAUqH9P#_3UtKMb^{Drd`Jy^wN8E^Fx*;bW_{B+4CP+ z7;IWrF`iuL&WrmZoX=oN?l!2nHM_i=pU*SyPZNT5@(@40hTF1(*5W)0a*ZNa>f`F7 z{w2Vs%~gs7B@1@>AN<;nx?l%jx6Iia3nWf5k33Puz}_&1QN(PRzE)WSpdT z5h7)RvjJO(44V-G*Y2UD0|m1%p9w>i@@go(+3cKedj z#zW6YG9dP$1_4`4U|Nk>s_lAM){ZSEY@Wo5TTQ0l-RL1|rI!De;MMXqPKVbK=Oh-T zI98ZTa`+^_?Yal-dBDXkCbNfPM$-A`1ey|Lj8cXj&+i_4TzM))v`ALlmZIi36r})) z1AijtnRE~9Na2TBP3t<_03rK%F}Um4ew)-Bzn@Xp%qV*+{LQc}stu>7|>lC0q@oW0r8U1)DnZQE*7H@Wn9XYql^){jc9}%;eJ8= zB(j;*r|heu|5ub)JJg7ZNjTDwSRt@6mWfdyH*PY5Dj`yby2j|^G3v1FnHoTcHM9U$|0*47!>hb-${8M}w;1qySU?tW-A4P&}Uf+ymA_vI!>A zgQGM=qg?!Dg(lotJemeCtI2I#Y>RV_%Hfkct9EsfG5;3lYrq`>Ekn5daPx`7pGvbu zM+~$)l9_x`ng$Wy2=RO~Y*mTz#lD$}%E{k%n^%$T)`ng`?=wW7O>YXhpm_ zGJk*c!_U+Ks=zUJFyHT)2qJq$@6c~wmcyspnaOGNF^K6Ez zdz2%E7J*}XNfp3zCiT1V<>MXX3d8wqaSD_^_;W@y|*tB;|P-n8X^4+#z9zg9sCQMNbKNLWt>ZANvSRr zEv1zLETOcuC%?BN zdQ$GvRVIbT0a&qmLDgP>5F4Hdrq$Tc8~U+A%7+|TLoGtk6$vcO19jJ@fOU3wu{Tk7 zwnHj5X>OA+#pD9zZmxdpiE*d!WJ+x7^BB)T=vwueNF8I*1h z*V+GetJOJ;*{zAwjj5mY@kQ71W^Hw(*VWGtS-gCo25)Z+M~#ZS!dc#C3_fg0e{JeI zj6kVyWyxyT&aZOP4bYz{u8XMm%M2ri9HWzo=1`fAP2X_)@oc$b`D!(@`TwFmaY2Vr zm)IyMGM;G*NLoP*NF;YGwWMekZkGkqA&b#rqPu00^jx@1LF;w0ZLf0Cv1!kzQB5fE z4y#2p<=tJCc%X>{yXn}*7IwR3XPqZ1j{sa~VG-ytN`3V>4_r|m$7>eo*1ak)~G`mgTUVT|vL`p)w4Hh|lH`n{Nu4LN{Xiw_|?#O(9i`_exp?e6kauSZD@hO;8xFkPt|!fU%#R%5xJIwk!_-xrre7dTt*S?J`)ON; zpK&{E-}BE^ht*ja&xZG;nD$`;E6RUG&>|itBB%CYIVkR~bCp$3ZDkHwoI(kqO*d8o z9rg-s8NLgUH0%PYF^%g=fqoW`w(8hXS`kQKtbI@2I zE*&u=>Tj!D`z$i5BgjP&t!&3?b5>KUmZQ?bldYX)MSsi9jc0D#;%E9G&b;dldkM}; z_?oM7Y@jof{(V&r3tK?Dh?7xG$pFYrm$!7~Q zqtXS`2TEyUhiV6kxP=Ue1)4C$Y5KpuoPDB3asSz9_2_E)cs2VNW~rOs+%6-_YFN4! zAa#3N>H+Jxu=&|#qp~_fog~ZARaNB z)aW_p$${%UMS|wWE*%yDb%lxYuu_{8cZr$6;iby>c zk{65gM8DGxK&Q9ou4ew2;giwqqg|H(nLL-VCGo`=w0&^JuxDpcv`h?$@L zB4Ai8SftBUSrc^fg<|xA`|QFI_T-z5yH*PxLfWqEq$k~y=sPSi&S@?Cns)fB+1zpJ z`te?DM#DAy!)Nm|dI?E}6-9c=(Qqx4!{@j2k24C@0ds)#tJQ*tD;A?k@mKVnEy@z) z9|VT(CZ_ArbMCb4=l^!N{(JcA&u`l(BK&G20~`MSVWuSJj>U5=PksKFk^be9rSSDH zUQP_0P|`>7r>y*s+CsZ}>vsB z9!^127BRj$rz02wojvgXeG1WhEi3ZBYBzq`Kx|)=iLa~q)NN+j6Z8zqL|Ls*2zo9z z^c^i{D+@!jmHoD*6WBV`j4!B`?*gmvXjnnbS~HEDYo%+*!Ov&w+SX_@w)py|EqAW2 zWR^z7?%^!!)0E0RTT)HkbH!?M$VRy6uHQaadc!lU84vI0choR~?9l+%e!7hY5l;26 zfHWy7qa8wmTj^$L{n&m|CjNS}c=z>_<=(Huzy5-BwXb~rq9?2hAQ6*y%|qDGG0oE( zhQ6gF6}>>??m#|GfPHq)m>H!KVVcKk4vgDac|?lRy6p5J;CM*=HE|z*LFwdS^>|Mg z%#u!1%lCLh`wC)eKR({{oL7$}8h(dd@a{guX98E(-3|02mJST?@nfW>b zyU}o6MQL5cGWk!R9jdOdHT{HpY7n?_S2=dQlA{H zs2E>G!(ZK8<{wpL5fKQq^uXWFiq9_5dWJ`O0fkV0y1>vUxzCoRf?1;R?7l872RTKA z`Xu(t>!5U5S)jgbQ`hu+Bux7zgI)sfvMr;GSki||E2D5((9u(vMI4F|A4{76=LlK8 zS$_|$sGf5^^W${)GCs1}!&-6N_v7p?iIC6_&*tnri3vIG&SZ%Qx=_2BW|rFE%MDn> zZBKI?Xi2O%iy+M>2wd`R(YT>~za-|WvT?T5p2@C{wts2TO`33i;@rN~s0;(8g< zIKDuGOL2e#63n_TyE|HrXiC^*%Kp(p^wpoOGOQ{)`maVDC63v1+(5s&mnoWd z_bP(qIyUcp)=5wGH!|%ocb{z?i7hbQXww^a{i@HpAc`PGM_aev^wLrNVFkoUcf5#3 zJYyZ%v#}W~h|$i{@Q?Z)xv~H|X5$UnokT0_eW-6CXR#A~B_JD_vQks}s7D*o^=B#b z--X3c0veW}tO~?+dJKbb9Mxb|Y;xmV?vQUee%%`1ZLi}|A(;lILrK;f0fH$sjb1;V z?Gga%MjgXyNls6m^L96jvkPbDz6&xgW>syI7n3VN zy9UTGUq!>HMjwwdPtliRA-85Xmqg(7rzC%1hXD%?86B z@$!%i`uc9Ouw8cm6wIwUPN0u7N!SELi{J{YtMMrD=4x;@!Zq}EcQ22b5h`*noA7As zD2#lz#$I%yn5*`lHGkb-s`uH3+;oZ)v**ObETYI(y>!1iI@VK#VJIcP^s@Dh=}QLw z7&bJobB?}6nm08Dy=~1(Yh!&D>>ocO3oLVm4As}++*zKDGf}cXitcYe4YKiAX${V~ za`A>Eg#%Db5B*x2wqsp2H7py18V&*tfNV0^IfCfv0xNOh{W-#O6*#3DKEqGo3TZKt z9n-zfn}bUW`SV;Qf1axi&zt*8=N->WGi@I-x1)`=N>SHf3_9M;{=%$T_XH*3q6C@9 zJzbq=8TUM8HCD{(k0C|P{@j1$0V*7TGd~RM4(CVl$I;xzfz1YUKg;eSqf5W`%r=?9 za~)?$JVC^x=O|?6M&qprtkS%yD=&h>+@&|nB|5!$M{{}}2^(IGqX`(=l9nVX6`D=Svy@n*(N z;H=t_$u?mX0poYalBKm{C+Io}d0>aVJ0vYc6o*Ss;%3WJUn5UXPy0cp@*{Ns5qfB% zN#ff^N9|^-MhWM~6iw}Zb$_$bWBa)aW-Ty`NUNfd?yiT_%+e~e>9^lG#lf7$lIEPA zB^euY@DSNUShPqsI!tPgpiJ&G*qo4iP4WUp1R3eYu5*T z^dZSlTWWizmDa@~?qL(q-{AHzmTpudG}{_T+XunG6?xK#JoJ9|F0+d*?TzoTE=wj| zv6w8TguyLQNKeeN#!)r_B>CAjT$Y7L=@v#=@XQskt%we`q8)K7g1N2H*(Y3PWE#09 zy&XdEc`IyNybbvX@)>&lB-{_ObR*IZwn_Mgu48E+{_LawPDcclWz=qzsw!^o{Fp^h zB-lDGD!DOzM+zP*knCa2a!aR|NolZ@E|kITcb2pexUS#r_A{&S<9_M)CmUr|D=Gvi z9krw3EzKFx8qj=2P6asA`{C}G-g)`KQisDI^Io_f>(ahiP16V+g-E0;sv{JO{Kc|tkH<~(+2(YOAxY!N11~} z6D#j=)^PN)&NltO&Jx#k8d`YWgzsRLG!A;u@wmD|p>MsXI%vbotxYQ4D3k?_2=0k$ zS#D)xrs-9UXdODs%|EQn-6k1Fda2G?Y*KqBXuqoK}V49d3t(CV_~iC^vUyK>pz z^w5#9D3>FXL5c6KGMO(80&Us9R*yDP{kkCr(g=MSDGMxhHpP@$P-zTl^Flh7rd;QJ z*Ct{e5e(!Gb5}}5!%OcJG+A?qrsPLG>oY{JBbcL>jUg+m`0cX?-XOKwy!2Iu6`byI z9w8+A5boyQ?$&U|1sluKr}SmF_WmF`t*Nk-HS5yo8$P&i+owg;(8eCEmZCt}C$+uq z=9qk(pD$RDq9NU?^sL|S&35EuEJxs)!T~LZ*v7sqotANM6Mu`Hzg&>y9%=vcqr$ZEogacHPdY88V}e18aY$11nQr=0i_egg3i`&CaZ z&6tqrrzw4ng{K+LHOtqQ+@_9m6O)2Z3vK;g&$KaP>LPuqymT9tG^I>X1VdS8xToRt z;v)Ihk67-aoh6p4>n6inibi2w%Aq(}l4o~S-z-!FylmaBBeg8M=vpm7iFT@7nuxUg zWxc%JjPerZwp%S0(QJ`x?B)C;It3qsPALe%Y;_PmBp2eN#Ti+K3H71~IOeF1D1`59 z_<+gADxM%z`e9H@h>@fY&7_QLZt7J&w$g*XqSQv%yQ-^dgPy4L$G%sA|aj zt6tptuDX75Q&k_v!}U>owz!7Sy8Z;?tGkTt(x{Y-uca5XPyfpf`MP2IzJ-+rAY1ZY zoIA>^5sD_U>oIh>p}K0DOiBBa;6%@s*rFZYulFh!IoZwvN;bOo=Nx4lVkRV|4XI^~ z##XhIW{0b5)|G?M&mRDmpnvgj_L!UBvpe@Q=}%rK5Abm&5h5I)rMD4b$etVeF``Yf ztKONpW0vR%FQdT5u`8u7q6?+%4RNUjbRXxOhGRnJ{+xEpI#&vAc@|B7JjCotuGYjs z<35QTddB(V(gGhnu52kzDaUi{@X{G^Whz#+v!D={&!`HB2kDiI$9GUbst9c|Jh4gJ% zXi}LoYFK5$CJO>X_G_0lM5=^)9x^H)Y$VR(-`Gft=?%QHdNW+NpdypEx#H9e-!49I z{)}$rv?t4WGxD;0_MFwJCc`CLM8eqkNStu$^rnSbPeCkayQEF;OFK=Iy+NEML}}R^ zspx`FA5d0z`Wjyr@JbP<3YiJp0ks{tNwu<2P})lSYW4`1l6{s+qo=9hYS_V0nai9uQ?~ey4d5tacXW_L(4+dmQ{5MdHF*` zhP+KP*q43D9D}qX&d*`9>epeWqeq+FXW2D5QXZ0U>|`)gmPRtO%<{=bs^liM>?uew zZQHls-5ZA7uH1%@b#2KHSem?!qeVt_+*$U4)1Kv=yVDr9z$JjLhbtOlL;R~cP9dh< zQkrUUZM$W>M}XkC<8^mw(%7dPHQPaRm#1t;7*cKX2E3cu+3aE#4Y$Q@w7d}SNes#R z1tNfGcT@iQ-G3pCxoBQ>^kZd3XNxwkC8gf@nuiqikw=|E-uwJ?ZNq3K5&Om?RHhUt zh^R62m{qwYou4Kp zZ|%ssXoowBnk>F)L$~`Aons-bdH(W82ko-)gOkWK_-MUUHVW%M+T7Fqyd=)sca%2P z`;1eAo6iUV=n=;?JF&mvy^FJ&NV}IQNR?=5#4eMIQk~8`fETRVAPhIp)F>Xb2s?e` zpRKWI7g??u2CIsBY1Kw%etp(skhis^Z5e&e;>(jWG5S2?-X|*5J6e+_jP2K^tFh0J z$(2~L+|q1W6Us&5CXW-WisE^MYMjD_KVL~qH=w3Yoni}w1FoV z$5Cr1=lWb{2hSEbJ>K7c!qPZn^?`P0R@l*EVE83_zrLIeoiezD?Bdyt)8 z^skmP({ji|zP4c9 z*f^pu=~K1>WW!IXa8NHU$WkwQNH6#Rzexl)%4xr%^YUw=% z{RUc{ZJNiIv^n%JMR_=3VOZ@4Y5@=()5p_aNUgZ4XG*9=?bv%RoFJz%st7w)0D= zyVluUWrcg>nD8!Em7W%_)(LVZ(Y=8w=Wh_nM)pz?COU$g zeQj)c?wag9{a@H-+_}?T82s$6W)=AL;B1HDQNtuOEPp?m&mzeAi;tYzMeQbT;m$#aWP30o+X zJK3z;Sssl+yGA%4UdS0T&xQ_8P}a`q3|%V@*$Ss$Pd0WP3#8$2txj1-dX|~*&PMlK zp<Z3ft#UY z-7Q$PjN&NA&tH`NJXr%nI!)vr-1VuUpB+<>XoYw-oK=v=Ww7Ziq8#jKlr)=B99tIy z=L1=@C{0Ggbz|E0=iBDKiARdG7pDA7KZ*`8ecGTAk9S$6jS>(slj9L&=H0>f?+zn?8ooPtclgdf z-~lYj%{OXtrkPIt?Zoq&2MncC<^5IRG@7evbSTk|kgZBt?a3-xuDOk-7bGaL=%rm* zz4VoaA+|qy@-EFHMU8S^I@>=D>qZCTHm|C;Z+!WI4~-E|sdCYbR7P9DB&V9S>*24t{!XEM7DUC4d4qo$~ zt@!hh7gD{}pCtfjOOjMPUEh_I#}5w!t>N19l|nJclg8G(;2m5E3!V13?0IZnO|3k` z$XDo0%XhJK93dJ_Z!}mD^H{r|w#Kx1+ExE73pY{C+Bh;iPu0(zzHNQ(={N_8@YfXR zco~Soc7K^fkUrefhCnrXd)hW%kTX{evsR8M`c@Xx04$g);n~*K;@x~_P}V{OMtM$g4Mz1rUzAf zW|_yK{gL6(vk-j=pAqz{>nClK*)Z91wpvE~hWS|#>Dm9^-nnc^k{ju{D{h%pJ=G*f zGfS7;5Bjlww@n%EWiC0MiwvegG?xQ&WF})7246N`@!{#A2YePoaEczvaJlG z>k27mO!V^~=giK{oY~pEHCk^>V5E{?S0(I9$nYhQ9m@yYr#Fc=oy{(=8OI0c7KRK{ zbo&mu+JDa1&VSvHn{U%r_iy>w3)atq+uB=*ZLu8xh_&Ao zH~YV3;^O=}B6Ha0m#4ik+4$yH37_Ee%1hweY)F3%%6BK1px0k~^#aTob4HR2YP-V& z1JPnN?nrgGyV6~i+%kAIN?67L@Q#4mg z|9b8?!B}lP<<0Tf7-1YP3pU4_?Kv^alxRmO-i&#wF?gG==sE_IS%AgT&nA8$^xCyH z^YM*6N{PzMP2|mTHb0Qp7swYoHVVpJx<8#VtjESub(MO08mb#qdrpSB5z?$vXbjl|*!+@n*$)bnft^o4|}2Z{Dk zQx)UBI*?dG(OY-yW?Z2O(~{wjv+)&3{;-RtosxIyi& zjg8?pOO0yU!eLqrJtmNb!}dCz-NSgtvpMIcKHul`5ViVphV!8^=vTbncE>{63J7?^ z;xT%JF;~O8(7%3Pag3jBPdyOa)Mo=alxI9%Fdp~}`sv;Fzv(CF&9}wad|A

XBmm|1fmNbG)J(?s>Jt^P%$LhKEp^T^#c5fh`Amqy4vw zr}uWf9xY#H>-YI;yt6c}eIMHE=EKXi_s1BPTf#Rq=NioRi{K_nWb99|6uTR>Q{MiD zaSn~O_XHT9>3VznS8jD9#g>URQOHcy*z#`sIU%=SzyEn|_`^!<)X#|e%kRn{yZ6U_ zrO&I?ip?19sv-@yjIzdSn=m|H)QqmB^geH6vvuxV%c%GEfb6i?`1^3fZW$y0ZTTV} zwqQI_9nIW7axT5%eRFUN=b@qR-gLRWJ=A57!Gy4ON5LE--|3Ats=bXj*yS4?R?Kp; zT3|Vr>vLo5S(ee^?Ae&7+?VAlgwa&YNU3jxk{oJ6f6u1mygHrgWm1Q|E2|f{9VKO{ zZ?)t7d*5M4uu1vc?c2Q9Ty92tyZx@#u+4ZB76xA4Kpxl)s2(gk$S1pEykG2q)-SWz zizj}%-SX`<`RREtww`w+R~(ON_?w@OckE|Tma4!Og04H->)DIR(eAo2R%003ymX*j ze=;W@Daf5-%!!S*&FtR@`y}Fnu-GV&FAMx!TYt0vUOR8uyPbp``rh#o#}teh5etiFpZfW0XR5OcR4g#IW@XIP&->+Ahx*v=&9?Vfc{9eAVfRoge?O7ipQ7Z$ zUeQ)}LVSR7jB>A5DY3Noc-a_&`B?d4F=DA2&9*@gui4&%J3}us>qmOGK9`sD&QL_*pI#^Z?@KqMS8Z>YEHHmp?%U0f>9(dx zJk?y~x!JM*Kx(4PuEoP6g1Xx@H=r8t^&XLIU!Ji5o%he(8IFnf>44R|dek)na#^d> zn`q3CzXN+1bK_Ca1G`#h3!EfI-Q%lcJ=9_^nasb7(|zZj5qPO{%QhWmZ1x07j~h&X z){P-%y=DJ=Y>?7--Tu@ggCFnDQN$%yh2>+HH^x1)y}gbXVDjg3WAFX)`ZfC)kFoPU zqo$aez-bcIkZ;>A?aNJmK75T(t$s)F^Qy8jy{0ImWTcKaD=viR2RxY2BGzUG;& z7X{P0YG$;1dUhK9cDz46aN}w{u=0<0;^iC2FqU=kEx2DQ60Dy-*vg>aVzPdj+jX46 z_H{KaIL8$2UZYp7!OOTmRiM@ORU%WzHYmFh=93R9%(w6JjnE7OdhG`nX8zS47LFdm z*zWMBxd!TbGYP%2`jbs>UUP}r_f78{fE;*va(DW@zBWb=d@Akh_g~jI`YL2+JZ{$D zvD<1s+flw+_tov^&#cKis}acBxAgfK>H}+xGJ0S(ybrCOJ=no2dwxceZX+&39iS1Z zo3~;;YJE+2fRDDpUftZY^;q|guLy_efc7zn9*=XQwez93ei|j}uAUPP{k6Q?5!Lj0 z4Q*aOpKfb+-m+%T2RT)GJN94fQITJqdY=t#n3?ZbsxJ1~;rt)I?-k^zrQd`Q;Qrgb z>(z;cjR|s>`i#H%;>&l;uKjqv`^$X2v3dO^2kVS#r4ip*iyOKZK#dSCi&ICZd&nw< z=$iGd;|=}hn>-fy#;FQ!_>SjTWj$9#)C27pZH`smgurKT#3K{CO{AywvuYU*+eZ=( z*jC$|>c!FKToIMygYr3Sr_fqfpLJU(~*hxeIgA)dc4*qZGtLR;L+BD2T0`+wjv zNPp9_xvziU2w$na-Rpnob0hD+aIpne4W)NoBkr{EB1E$K41Dw3!MAK^nK*b zUw-yo^=Mv%koVprw^sqAw{r&^ngq z4pWSka+`X^G{KK)cI?sLpF%XKIBJ<&AkLXUVkgRXwmiU8M^PPVKfiWl(Rge%E^o{z z^*jf&ihYY3WBPud87EAG-*0M4hN+&Ucbob$0OREDKYIX8Tduxu^G`YR9xpE2eJ~?l z-o%B=ro=eE<9Y~&nZt(Son5lHeOxvpV%lwdfVu-RSV7n1YoM_CQ`ni&<$QaP-Mf!- z3DFLU<26LQY~1}vAGG;X+7oLyt6f!Rvg--@?dIDW=xlk%Vfj}d&)B=wZ9nks-dqQZ zY@U77d9$hgiU<;%KFOC-|HwTqjd1hD^{W(Xbbgzem8h^EIvKFnfU|>^x0|uJteNe= z>wfHKVM#ix`Kp~LleYit2j^y*f7kKeAB`5dv9!*JvZ@jESRaa(damNG=2o7^UW|u= zJ@MT=kDxrgPXzB$zU^`A===DZMa>fInfMyJrbY$(A4go$ZoYKy=LEFRE6#5iVl;a* zY;!p^T@LW63F&>_Cd6Uq()j(X=o2f+_k6^Pex;vrZx5$={kr`6&A+3!p06_&-)drD zT#o^lq4gX}_uRtfhMCCmIddMe>n-_pINko)d<-|NnmuAByBgnaygz46RmB)>4*3R6 zvI%#pR{rWklswiy)`Qm^QWH5*@BPQj^n5%lrLww&o~4xEHemy+YF`E{rkmP#?DYPN zkKbq=UV5W-`1p<1;q6Cnul6sz(b|9U@f)qtWO~MJ`{N(;z`tc9Zk{=ofk@llG_3n* zW)x~@G~&on*7X6$6tL1>?C@5Z$8?|!e2H}wLvKY*~QS7)!b z|M-tznfq$7Iquj-@^kKDfB50M8NYwCyBqssEH`6t>D1^}hnKTe@f^Co>FADrDA@cx z-`B!7`6w~-JXfE+f6a^Qza+%3-n6~G`dHKJ7e3b1W5Tf~{+?BsHSB#e26Q(}_jU(f z0h~O$&&PHjo8ymjK)-oCKChBOo6ikEyJNS@vFXbU;o9=3q~;E8ntSykWDb*a$J#ol zLIaHrX4E+@-pizK==gXOSJm;1HWS;M?|+%gVpxBe_S|^9Lu36#M|H8OLccz`^;-aA zjokM3?q{Y$$J1Khap_BcsDT*Gan^fyz#2t+@j(S1%jEi5-HT6*Y!2CdFe;=A4qcYG zbyzZAkQgrkdZKbf`Hmf(w!d)8@+Zb8IN8(qJ2|3 z9+qdnxa+&dXY7^uho0zqRXP}tXc+-At5TlQom1Z%7@_qiYj|jgsPpmV+2ZQCky6O< z>Et5IrC* z)gQ8!Z3GmK0pkA8=kbn<`)Pe+hA~zKF+SJUm>&P{>G(yAW_4%Dykxk;W_G?!5WtZd>SvMb-T^@bR9l-*@BNHS)kM%f03k z!j<4XB{E(DRt=x+AKo3`r4!{*DZL;ce(8}+ucUc?M;W8Z`D$*yn271e`z>yx^}x~_ z9`2apErhuecf0@5V6L?Lv6O2x!oJ_VVniMGc)F+oS0gNz0y2$QuOj;uA_L+mlPRmR z-545UyneE@3K$g54kIRwtpNC+B^0N zzHBTtKT-IV`XEZO^s;??R}Z3_|I|BgST(R}VAa5?fmH*m238HM8dx>3YGBpCs)1Dls|HpLtQuG~uxen{z^Z{&1FHsB z4XheiHLz-6)xfHORRgOARt>BgST(R}VAa5?fmH*m238HM8dx>3YGBpCs)1Dls|HpL ztQuG~uxen{z^Z{&1FHsB4XheiHLz-6)xfHORRgOARt>BgST(R}VAa5?fmH+l|7qay z>FJSU!MKS^oAGFNa26L+CzCnO3GvZJiUi%5RQ&nUGlaVbLXHSH=UxR^FQNDPvdX~r@q zWrF<-ybxdf-~nrD%J9NrAuI4GUJ6g-f-Q4$E$J>J$|yXcRW9WR#ff#nzkrHBm9m0y z2&udQ>2tHT;Ncm=k+zqWEHr=Re8NY5 zVfh<$PF3szxDdFy8hEl)g`2ZUCm4mcEU6GzN2LoG2_xggy5LU~F2-NMp!d;5VO-U; zz$*Ahg#w-oC3{I{;y)v6l2X?icmd~=psvYN=y*!S^;5K;m+nH>q6fId9Ds3N=Ka6C zR=&yl3(Tp`U{v0~P{-}Zxg2To3w_EoN(jhxC{Ab*nb?cs6Qwdqrp9OBE*WTO6(<+) zz%Ma6Cc||dq)-t6Fp0sCy#?0xHKNoDSQm<48y3{*ijbUiyjq^Yr=K-&R z5-`VeawO6hgLEi56#t5ZrzREXtOp7MF0r~6w@TDSu)Q46sy8SBKmAf! zf!B|jzvS{4kH=p?eBxrFn3f_m&F9y@LIsg4e+5(~byOum2{gn+5Iq&<`FIdhk1Vd7wra1OigL=$+H*y2NrFhB{d~T=!Ns71jHWXQpvOe z;G!Le0;dS@tG;uDrEp)hM<*|}thdzD;fefoM)WL_dys=2E8WfJOF z(fN($kuH}}yg5~@DP74v@`lA4Tgymd5S&~|Ns}tJhONW%wH-*?oP$BV;m6Y`0YMX? zn_9ZZ5hZX>GMoZpXmx@9re-PtoXen^?4$h7B6Ungo17AGNcB^PoGo%+zD(iB@F_CF zTZm7fKp8=`c4SGixt4vv(WRxMVyX*z2&)n3ql6${1WQkF6DvWi?SgAHgFox{|E226 zZ3-=OT!tExT;R4}6+A`wDMk6)OqD}F^O9?JEC%cR$W25@qN;4%XakHz(Uh~y1?E-N z7+CTw2~p{KMBo$!r2%rQ95%?#Dw+kJ*pq>~e$qHYT5%^$E>fADO;bts`12Rh1xIokB<*e{Bhjh z-=8=*-AnoD{^9=NY(}^b&Y9zZ!?F)&e!$EzC4{T_*Lj}qtTuEmK zkHMIDN&VQR&Xl;b5GDMp!|NOaFu_O>>HsG8M1qKQU05P<*NEgT3s@f}scMwQD)X+N8qUqC}>X_0w?Et{0nv{mtqfhkJNilIb058IDi>sqA+--~zz?83gHDKWLO22MJjs`EYlV0{=(=Y1N6?3e`a$@2UAgX`XBhu$g>S z1T^Al^9S4&21E-jn2=il(woOnR^?dp%=hAaf3hHr1%=!p{XN=HF?Z*?m;%7*d_I0S zVKQ+-IMP5#y<7;w%>#PG2zOk`=>1tnDV4**(ziLA9e%Z=!9vN)s!J zvf?R`7!r00*rRX(0ziYP%Ua?z)^0z6KF&vKfR^N`iEPEKG-#x8oyYJc+aRIZ@P(r8 z?@o6(3;(ba0>x!HwQP?K!E)Ho!ui1?qX`Qr12*8o7W0HLI4A#gs@a5z0x*%Q@549Jm+ zkrN*6FlZ9qMX5Nt zjhoSX11TyPS0uUh2u0i$n!v0j&JIMonjPQc8WKeW2Dzj@#PWdMq7@cH72aZB>e9g) zrq^N**rm(h?O&@53Ec3pzU4Is|F}TbWiW!Lg-Ygf>#!-I0?`UXS+x z`Fx^#0N-x1V2Wgakh8)mNe^-hBikL|F;tA<@E??_H)&{DqLn};cTo%uj?`&Nc44UvxzVEb4L6A6?bbd-1?t2& zktxK55Y}hd)@9y^OoTI?UyVEHnCSiz?F@r4HfHOLPffy!ZOVnU}*zc}7 zKqQ3eC?e8Pj}8zo!;lCfpU^`vZQxnyIPqVVBGtnKOn^s%PTIz4|9n1qd(y-FZ~mD^ zO+GgPj);%wP$~C70+pNuV3m~0YvA6g&uj#yP1M+P1?Gra)~YGXMy50e%ZP-8$Ce8R-AQ#M5ka%5Fa z(~M1l34()e`zg|Tvf5M;93`u|GyzV|6ydNI@^LC#18Ko{0mOakV;pLkDq-KB1gb{M z1?9OZbb_+}tQuG~uxen{z^Z{&1FHsB4XheiHLz-6)xfHORRgOARt>BgST(R}VAa5? zfmH*m238HM8dx>3YGBpCs)1Dls|NnHG?0*t3Q#cMhky}I6^LPMN5#@uSz;s%DCr=E zL}M7p^U*P5AQm}^y;!8ZG!Ew(h@^oN9zwcq72dsF6Go zjwBAkc@z)1{P?F(RD)73^I6D{;HIk0SX5)FI-UwdSfK&l5sXc{w6;3xV*0><(n4tw z28&S>|1oEIw3SvF1ED;~ju)sxECcNXSQ)DdCW=5r!@muP!^cf)LP{HyYM2{wjK=FF zY)cb}gZ=cK*qRIjYmEyNNyCDHXc$|ARrOR%Aegawn9rDZ(x44NQLNF>{4EzU;HsD= zGJ)K<_G^Zu87)VRMaaN9M1Hy(3mKGLPr*<4O|!?%5}!v23(77?Q0L0%JkBR0c#XT( z&~}N*QauO)ZINKA19*LxUIvPVO^^X@as4>0l=mLgX z$UswgzK{WKAV8#`DzAkMTtz|hOWkk?W5yU7l6r*PiQ0)LOeC>|A4B2+ha;Xctz11C zQp%AgPKL4==csd-Qbh!~Yg%m%$RC!lX+66T zEJXtTv6N9_LV8V;<8D*kV=h<#sKKl3S!|DFI+but)!fXs&6%1=YZM z^{9KC%?@97C+edQ1jCv2I#{m;pLkZ=Ph43CKpK>XJEAeeNeMaD_qa?iB1t=l&_|!N z6#Y3}!%;ZlveimK!B1JpAUvTYP@lI8bWmVu4} zg#t|*Qvzsu79kydMQg%!?D}oW5>y=;0aV+EWSfRe)FpV7jCeYZen2J-&+Mv4y?Vs- zAi$1CG_F3SB}Vd9EOpx2t)x6S7hur2QeC`2{`vr)jC4?jylWXL(7(wfRO2_;QiI~n zSSfk~Nu}VN6n8;8q_G3JnN>!)wUd z9btJpA;c+}aRvKnlnoSJ`wL$5F{K>Ra#qW*+CyEK<63C+9i8c_nnEz{r{U~rZ5Y%= z9SQ|={Mi?Zq1ag1YxM%NA;DVPqDHY3}sX@grTK-MP&U?k5nOHlKQ!ZB@3pjB^MbnQ>mkR12u!v z1Il&Mm|ZX?hiMf;+0=C8CT2&Y{e!8AjZ#-%)Ppj_qe8nSSdZtx2f12IvUNZanUzCJ zxR3$2ma?>FZ?1GyqyYM@fM{IWH|2~3?!IzA%pG+ z@+j#As)K*U5UxuroZ^)Ix$FiI-P%uu07Y%@8pWoKBsLdYM-~HN2MD7W^tgw(`U(66L}hdZ^gzaZ%PpyL1o*0E!cw z;v68@r??s?&ZVF7hXNRcSsmmoS1hK6@Zk7?3d$>7ftxC!Uj(w2he0E>@CN%Ba5at8 z!GUK4py@{(Z|c&@pMBgST(R}VAa5?fmH*m238HM8dx>3 kYGBpCs)1Dls|HpLtQuG~uxen{z^Z{&1FHu9)iv;c0P_2;;{X5v literal 0 HcmV?d00001 diff --git a/FeynCalc/DocOutput/English/SpellIndex/segments.gen b/FeynCalc/DocOutput/English/SpellIndex/segments.gen index be7035f3ba92d6cf9da7bf52306a62910cb53477..825781b03d33ccbb1efb504d1c566743cadd133e 100644 GIT binary patch literal 20 QcmezW|NlP*2(X6H089r2asU7T literal 20 QcmezW|NlP*2(X0F088@(ZU6uP diff --git a/FeynCalc/DocOutput/English/SpellIndex/segments_1n b/FeynCalc/DocOutput/English/SpellIndex/segments_1n new file mode 100644 index 0000000000000000000000000000000000000000..c90e555485c4f6e50e6976d80bb3597af0d45ad2 GIT binary patch literal 41 ncmezW|NmbG2F9XGJABqMFfhmhF(XraF$05u^M5E{1ksEDb=njx literal 0 HcmV?d00001 diff --git a/FeynCalc/DocOutput/English/Tutorials/Intro.nb b/FeynCalc/DocOutput/English/Tutorials/Intro.nb index 64937a3d1..444438f8d 100644 --- a/FeynCalc/DocOutput/English/Tutorials/Intro.nb +++ b/FeynCalc/DocOutput/English/Tutorials/Intro.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 41730, 1213] -NotebookOptionsPosition[ 32206, 908] -NotebookOutlinePosition[ 37579, 1059] -CellTagsIndexPosition[ 37285, 1046] +NotebookDataLength[ 1987705, 68240] +NotebookOptionsPosition[ 1946327, 66944] +NotebookOutlinePosition[ 1952207, 67109] +CellTagsIndexPosition[ 1951842, 67095] WindowTitle->Short introduction WindowFrame->Normal*) @@ -59,7 +59,7 @@ html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> URL[ StringJoin[ If[ - TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$298881], + TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$300071], "http://reference.wolfram.com/system-modeler/", "http://reference.wolfram.com/language/"], "FeynCalc/tutorial/Intro", ".html"]], None}]}]}, @@ -901,320 +901,67347 @@ Cell[BoxData[ CellLabel->"Out[24]=", CellID->727521100] }, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Internal vs. External Representations", "Section"], + +Cell[CellGroupData[{ + +Cell["FeynCalcInternal", "Subsection"], + +Cell["\<\ +The internal representation (FeynCalcIntenral or FCI) is how FeynCalc \ +internally \[OpenCurlyDoubleQuote]sees\[CloseCurlyDoubleQuote] the objects. +For example, a 4-dimensional 4-vector is represented by\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p", "]"}]}], "]"}]], "Input", + CellLabel->"In[18]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{28, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[18]="] +}, Open ]], + +Cell[TextData[{ + StyleBox["Pair", + FontWeight->"Bold"], + " is one of the most basic FeynCalc objects. Depending on its arguments, it \ +can represent a 4-vector, a metric tensor" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}]}], "]"}]], "Input", + CellLabel->"In[19]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{37, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[19]="] +}, Open ]], + +Cell["or a scalar product of two 4-vectors", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", + RowBox[{"Momentum", "[", "q", "]"}]}], "]"}]], "Input", + CellLabel->"In[20]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{43, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[20]="] +}, Open ]], + +Cell[TextData[{ + "Another essential object is ", + StyleBox["DiracGamma", + FontWeight->"Bold"], + " that is used to represent Dirac matrices. An ", + StyleBox["uncontracted ", + $CellContext`IgnoreSpellCheck -> True], + "Dirac matrix is" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], "]"}]], "Input", + CellLabel->"In[21]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{25, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[21]="] +}, Open ]], + +Cell["and for a Feynman slash we use", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{"Momentum", "[", "p", "]"}], "]"}]], "Input", + CellLabel->"In[22]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{38, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[22]="] +}, Open ]], + +Cell["The Levi-Civita-Tensor is", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Eps", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Rho]", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Sigma]", "]"}]}], "]"}]], "Input", + CellLabel->"In[23]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{53, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[23]="] +}, Open ]], + +Cell["or, when contracted with 4-momenta", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Eps", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p1", "]"}], ",", + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"Momentum", "[", "q1", "]"}], ",", + RowBox[{"Momentum", "[", "q2", "]"}]}], "]"}]], "Input", + CellLabel->"In[24]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{72, 20}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[24]="] +}, Open ]], + +Cell["\<\ +This notation (momenta in the index slots) is also used in many other tools \ +(e.g. FORM). The advantage is, that we do not need to canonicalize the \ +indices of the Levi-Civita-Tensor, e.g. to ensure that\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"Eps", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"Momentum", "[", "q1", "]"}], ",", + RowBox[{"Momentum", "[", "q2", "]"}]}], "]"}], + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p1", "]"}]}], "]"}]}], "-", + "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Eps", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}], ",", + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"Momentum", "[", "q1", "]"}], ",", + RowBox[{"Momentum", "[", "q2", "]"}]}], "]"}], + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}], ",", + RowBox[{"Momentum", "[", "p1", "]"}]}], "]"}]}]}]], "Input"], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox["\[Epsilon]", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox["\[Epsilon]", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]]}]}], TraditionalForm]], "Output", + ImageSize->{198, 22}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}] +}, Open ]], + +Cell["is zero.", "Text"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["FeynCalcExternal", "Subsection"], + +Cell["\<\ +The internal representation is useful for the internal programming FeynCalc, \ +but obviously too cumbersome for the user input. This is why FeynCalc also \ +has an external representation (FeynCalcExternal or FCE), that is concise and \ +convenient. \ +\>", "Text"], + +Cell[TextData[{ + "Let us start with the 4-vector. In the FCE-notation it is just ", + StyleBox["FV", + FontWeight->"Bold"], + " (\[OpenCurlyDoubleQuote]FourVector\[CloseCurlyDoubleQuote])" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + TraditionalForm]], + TraditionalForm], TraditionalForm]], "Output", + ImageSize->{28, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}] +}, Open ]], + +Cell[TextData[{ + "It is not hard to guess that the scalar product is ", + StyleBox["SP", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{43, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}] +}, Open ]], + +Cell[TextData[{ + "while for the metric tensor we write ", + StyleBox["MT", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"MT", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], TraditionalForm]], "Output", + ImageSize->{37, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}] +}, Open ]], + +Cell[TextData[{ + "To input a Dirac matrix or a Feynman slash, use ", + StyleBox["GA", + FontWeight->"Bold"], + " and ", + StyleBox["GS", + FontWeight->"Bold"], + " respectively" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GA", "[", "\[Mu]", "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{25, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"GS", "[", "p", "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{38, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}] +}, Open ]], + +Cell[TextData[{ + "The Levi-Civita tensor is ", + StyleBox["LC", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Nu]", ",", "\[Rho]", ",", "\[Sigma]"}], + "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["\[Epsilon]", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{52, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}] +}, Open ]], + +Cell["The fully contracted form is entered via", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"LC", "[", "]"}], "[", + RowBox[{"p1", ",", "p2", ",", "q1", ",", "q2"}], "]"}]], "Input", + CellLabel->"In[25]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{72, 20}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[25]="] +}, Open ]], + +Cell["It is also possible to enter a mixed form", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"LC", "[", "\[Mu]", "]"}], "[", + RowBox[{"p1", ",", "p2", ",", "q"}], "]"}]], "Input", + CellLabel->"In[26]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{68, 20}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[26]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "[", + RowBox[{"p1", ",", "p2"}], "]"}]], "Input", + CellLabel->"In[27]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{62, 20}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[27]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Switching between the representations", "Subsection"], + +Cell[TextData[{ + "To convert between the two representations we use the functions ", + StyleBox["FCI", + FontWeight->"Bold"], + " and ", + StyleBox["FCE", + FontWeight->"Bold"], + ", which are shortcuts for ", + StyleBox["FeynCalcInternal", + FontWeight->"Bold"], + " and ", + StyleBox["FeynCalcExternal", + FontWeight->"Bold"], + ". One cannot distinguish between the notations using the typesetting, i.e. \ +when we see a ", + StyleBox["typesetted", + $CellContext`IgnoreSpellCheck -> True], + " objected in the ", + StyleBox["TraditionalForm", + FontWeight->"Bold"], + ", we cannot really tell if it is in the FCI or FCE notation." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", "=", + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"ex2", "=", + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}]}], "]"}]}]}], "Input", + CellLabel->"In[28]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{28, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[28]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{28, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[29]="] +}, Open ]], + +Cell[TextData[{ + " However, we can always use ", + StyleBox["StandardForm", + FontWeight->"Bold"], + " to see the difference" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", "//", "StandardForm"}], "\[IndentingNewLine]", + RowBox[{"ex2", "//", "StandardForm"}]}], "Input", + CellLabel->"In[30]:="], + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Output", + ImageSize->{71, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[30]//StandardForm="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p", "]"}]}], "]"}]], "Output", + ImageSize->{283, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[31]//StandardForm="] +}, Open ]], + +Cell[TextData[{ + StyleBox["StandardForm", + FontWeight->"Bold"], + " shows us how Mathematica \[OpenCurlyDoubleQuote]sees\ +\[CloseCurlyDoubleQuote] the expressions that we enter. Notice that the index \ +\[Mu] is still typeset. The more \[OpenCurlyDoubleQuote]advanced\ +\[CloseCurlyDoubleQuote] version of ", + StyleBox["StandardForm", + FontWeight->"Bold"], + " is ", + StyleBox["FullForm", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", "//", "FullForm"}], "\[IndentingNewLine]", + RowBox[{"ex2", "//", "FullForm"}]}], "Input", + CellLabel->"In[32]:="], + +Cell[BoxData[ + FormBox[ + TagBox[ + StyleBox[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\\[Mu]"}], "]"}], + ShowSpecialCharacters->False, + ShowStringCharacters->True, + NumberMarks->True], + FullForm], TraditionalForm]], "Output", + ImageSize->{89, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[32]//FullForm="], + +Cell[BoxData[ + FormBox[ + TagBox[ + StyleBox[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p", "]"}]}], "]"}], + ShowSpecialCharacters->False, + ShowStringCharacters->True, + NumberMarks->True], + FullForm], TraditionalForm]], "Output", + ImageSize->{257, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[33]//FullForm="] +}, Open ]], + +Cell[TextData[{ + "In most cases, ", + StyleBox["StandardForm", + FontWeight->"Bold"], + " is fully sufficient yo analyze the input and output of FeynCalc and \ +Mathematica.\nNow using ", + StyleBox["FCI", + FontWeight->"Bold"], + " and ", + StyleBox["FCE", + FontWeight->"Bold"], + ", we can see how the output of ", + StyleBox["StandardForm", + FontWeight->"Bold"], + " changes" +}], "Text"], + +Cell["This is the original expression", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex1", "//", "StandardForm"}]], "Input", + CellLabel->"In[34]:="], + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Output", + ImageSize->{71, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[34]//StandardForm="] +}, Open ]], + +Cell["Nothing changes, since ex1 is already FCE", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"ex1", "//", "FCE"}], "//", "StandardForm"}]], "Input", + CellLabel->"In[35]:="], + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Output", + ImageSize->{71, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[35]//StandardForm="] +}, Open ]], + +Cell["Now ex1 becomes FCI", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"ex1", "//", "FCI"}], "//", "StandardForm"}]], "Input", + CellLabel->"In[36]:="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], ",", + RowBox[{"Momentum", "[", "p", "]"}]}], "]"}]], "Output", + ImageSize->{283, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[36]//StandardForm="] +}, Open ]], + +Cell["but we can easily make it FCE again", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"ex1", "//", "FCI"}], "//", "FCE"}], "//", + "StandardForm"}]], "Input", + CellLabel->"In[37]:="], + +Cell[BoxData[ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]], "Output", + ImageSize->{71, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[37]//StandardForm="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Why it matters", "Subsection"], + +Cell["\<\ +All FeynCalc functions that are meant for users will automatically convert \ +the user input in the FCE notation into the FCI notation. You do not have to \ +do it by yourself.\ +\>", "Text"], + +Cell["\<\ +On the other hand, virtually all FeynCalc functions produce their output in \ +the FCI form. So when you have an expression that was obtained from FeynCalc \ +and want to apply some replacement rules to it, we have to use the FCI form \ +in the rule\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex", "=", + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p", "]"}], ",", + RowBox[{"Momentum", "[", "q", "]"}]}], "]"}]}]], "Input", + CellLabel->"In[38]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{43, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[38]="] +}, Open ]], + +Cell["No surprise that following does not work", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex", "/.", + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[Rule]", "1"}]}]], "Input", + CellLabel->"In[39]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{43, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[39]="] +}, Open ]], + +Cell[TextData[{ + "But if we wrap the r.h.s of the rule with ", + StyleBox["FCI", + FontWeight->"Bold"], + ", then everything is fine" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex", "/.", + RowBox[{ + RowBox[{"FCI", "[", + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "]"}], "\[Rule]", "1"}]}]], "Input", + CellLabel->"In[40]:="], + +Cell[BoxData[ + FormBox["1", TraditionalForm]], "Output", + ImageSize->{11, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[40]="] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Contractions", "Section"], + +Cell[TextData[{ + "Now that we have some basic understanding of FeynCalc objects, let us do \ +something with them. Contractions of Lorentz indices are one of the most \ +essential operations in symbolic QFT calculations.\nIn FeynCalc the \ +corresponding function is called ", + StyleBox["Contract", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"MT", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[41]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{64, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[41]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{26, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[42]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Alpha]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Alpha]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[43]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{55, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[43]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{43, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[44]="] +}, Open ]], + +Cell[TextData[{ + "Notice that when we enter noncommutative objects, such as Dirac matrices, \ +we use ", + StyleBox["Dot", + FontWeight->"Bold"], + " (\[OpenCurlyDoubleQuote].\[CloseCurlyDoubleQuote]) and not ", + StyleBox["Times", + FontWeight->"Bold"], + " (\[OpenCurlyDoubleQuote]*\[CloseCurlyDoubleQuote]) " +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Alpha]"}], "]"}], + RowBox[{"MT", "[", + RowBox[{"\[Beta]", ",", "\[Gamma]"}], "]"}], + RowBox[{ + RowBox[{"GA", "[", "\[Alpha]", "]"}], ".", + RowBox[{"GA", "[", "\[Beta]", "]"}], ".", + RowBox[{"GA", "[", "\[Gamma]", "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[45]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Gamma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Gamma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{140, 18}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[45]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Gamma]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Gamma]", + TraditionalForm], + TraditionalForm]]}], TraditionalForm]], "Output", + ImageSize->{100, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[46]="] +}, Open ]], + +Cell[TextData[{ + "This is because ", + StyleBox["Times", + FontWeight->"Bold"], + " is commutative, so writing something like" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"GA", "[", "\[Delta]", "]"}], " ", + RowBox[{"GA", "[", "\[Beta]", "]"}], + RowBox[{"GA", "[", "\[Alpha]", "]"}]}]], "Input", + CellLabel->"In[47]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Delta]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{71, 18}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[47]="] +}, Open ]], + +Cell["\<\ +will give you completely wrong results. It is also a very common beginner\ +\[CloseCurlyQuote]s mistake!\ +\>", "Text"], + +Cell[TextData[{ + "You might have wondered why FeynCalc does not seem to distinguish between \ +upper and lower Lorentz indices.\nWell, FeynCalc assumes that all your \ +expressions with Lorentz indices are manifestly Lorentz covariant and respect \ +Einstein\[CloseCurlyQuote]s summation. This implies that in an equality, if a \ +free Lorentz index appears upstairs on the left hand side, it must also \ +appear upstairs\[LineSeparator]on the right hand side. Something like ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], "=", + RowBox[{"c", " ", + SubscriptBox["q", "\[Mu]"]}]}], TraditionalForm]]], + " would violate manifest Lorentz covariance. Hence," +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[Equal]", + RowBox[{"c", " ", + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}]}]], "Input", + CellLabel->"In[48]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "\[LongEqual]", + RowBox[{"c", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{83, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[48]="] +}, Open ]], + +Cell[TextData[{ + "could equally stand for ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], "=", + RowBox[{"c", " ", + SuperscriptBox["q", "\[Mu]"]}]}], TraditionalForm]]], + " or ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SubscriptBox["p", "\[Mu]"], "=", + RowBox[{"c", " ", + SubscriptBox["q", "\[Mu]"]}]}], TraditionalForm]]] +}], "Text"], + +Cell["\<\ +Each term may not contain more than two equal indices. Those are interpreted \ +as dummy indices, i.e. one of them is an upper index and the other is the \ +lower one. Which one is which does not matter. Dummy indices will be \ +contracted.\ +\>", "Text"], + +Cell["\<\ +Still, it is your task to ensure, that your input expression respect Einstein\ +\[CloseCurlyQuote]s summation. Checking\[LineSeparator]this by FeynCalc would \ +cost too much performance.\ +\>", "Text"], + +Cell["\<\ +Hence, FeynCalc will not complain about obviously incorrect expressions, but \ +the corresponding result will be apparently nonsensical\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"MT", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[49]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{91, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[49]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], TraditionalForm]], "Output", + ImageSize->{53, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[50]="] +}, Open ]], + +Cell[TextData[{ + "In FeynCalc 9.3 we introduced Cartesian indices (", + StyleBox["CartesianIndex", + FontWeight->"Bold"], + "), so that is possible to have the same index appearing upstairs and \ +downstairs in an equality (e. g. ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + StyleBox["p", + FontWeight->"Bold"], "i"], "=", + RowBox[{"-", + SubscriptBox[ + StyleBox["p", + FontWeight->"Bold"], "i"]}]}], TraditionalForm]]], + "). This means that we have to explicitly specify the positions of the \ +indices. The choice we make is the following" +}], "Text"], + +Cell[TextData[{ + "Every free Lorentz or Cartesian index is an upper index, i. e. ", + StyleBox["FV", + FontWeight->"Bold"], + "[p,\[Mu]] corresponds to ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], " "}], TraditionalForm]]], + " and\[LineSeparator]", + StyleBox["CV", + FontWeight->"Bold"], + "[p,i] to ", + Cell[BoxData[ + FormBox[ + SuperscriptBox[ + StyleBox["p", + FontWeight->"Bold"], "i"], TraditionalForm]]], + " which also agrees with the typesetting. A pair of dummy Lorentz indices \ +consists of an upper and a lower index. A pair of dummy Cartesian indices \ +consists of ", + StyleBox["two upper", + FontWeight->"Bold"], + " indices. " +}], "Text"], + +Cell[TextData[{ + "Thus, while ", + StyleBox["FV", + FontWeight->"Bold"], + "[p,\[Mu]] ", + StyleBox["FV", + FontWeight->"Bold"], + "[q,\[Mu]] may stand for ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], + SubscriptBox["q", "\[Mu]"]}], TraditionalForm]]], + " or", + Cell[BoxData[ + FormBox[ + RowBox[{" ", + RowBox[{ + SuperscriptBox["q", "\[Mu]"], + SubscriptBox["p", "\[Mu]"]}]}], TraditionalForm]]], + ", ", + StyleBox["CV", + FontWeight->"Bold"], + "[p,i] ", + StyleBox["CV", + FontWeight->"Bold"], + "[q,i] always implies ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + StyleBox["p", + FontWeight->"Bold"], "i"], + SuperscriptBox[ + StyleBox["q", + FontWeight->"Bold"], "i"]}], TraditionalForm]]] +}], "Text"], + +Cell[TextData[{ + "When it comes to products of ", + StyleBox["Eps", + FontWeight->"Bold"], + " tensors, ", + StyleBox["Contract", + FontWeight->"Bold"], + " will by default apply the product formula with the determinant of metric \ +tensors" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "[", + RowBox[{"p", ",", "q"}], "]"}], + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}], "[", + RowBox[{"r", ",", "s"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"x", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[51]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{143, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[51]="], + +Cell[BoxData[ + GraphicsBox[ + TagBox[RasterBox[CompressedData[" +1:eJztnQmQFcUdxk1ipRK1SkQt8cATBCR4QClXiKKIFyRCNCohUVCugGiBAt6I +YlREEfFCpVCOgAIiGEFARAmIHKJy3wLCci/sLuz5trNvH4vz3puZ7p75d0/P +zPerikV2l37/7e/r3rdvV38XdH6gfddfH3fccX1/V/GP9p36t+zTp9Mjf61W +8X9u7923R7feXe67qfdDXbp16dOk828q3jio4n+XV3x88s8MAAAAiCCJvBUT +3/lw1qyxT3V6dtGhcs/rlOz5+sWbmj+1upAdWdn/T7fO3Gddqrzwp89HjZv+ +2eiHGlavfv7Fdeo0aPXcukL/wwNSiGNyrUQSqu4BpeCKAJpIHPiiZ9sRm4oZ +K1r77DUdFub5Wezg1x1bj9hcuGt650GL8yxdKz84v2+7ERsrHqR023vXtZmR +dS8BE1ARk1MlkpB2D6gCVwTQRWL3lJtbDNlQUQN2+Ps+rR5dccTPaoVrnmvz +5KIlH4z+Mf3qOfBF++ZPrk4+1yneMLTV3d+4NLp4x9wxH68p0N3GxKHlk8cv +2Fvq/BHGDkaHREzCOFWCCXbP2G03djDyR8QVUYmZldDfB6XkLbyjdtOxO8oY +K/jhmY6vJ5+f+KBw1dMtOz4xbmNGYxO7Prq26QvJRhdtfPOugd/lO/390l2f +PPjPdzYV+RrCK0dWDev4yJz9ZXbvM3YwSoRjksGhEkn43TN2240dTAG4Io5h +ZiU098E7/R3Iyck5+hGFa55qcHbjNk+9P23quNFf7iqRXiptNZa3pGf3sduy +VyndOalHuwGjP502dtTsnx0TS+yb0bFJz29tnhmJPboQLiuUH5jbsXGPBdmv +jxs7mIWy3dO73b/Y/Tsa3qhiMfFW6y9UCYHuGbvtxg5mwU8f+uOKkN15mcH8 +zyM6lVEk8n94//azTqx596S1myd1vL77iBnrDyfSP6R068gWTV4SfcZTvP2/ +rwx5Z+zr3S4+4bdntO71zAdbSH/aWLbzP1fXvcv2G/Wy3EWjH76tZasBLw/q +eUv96qc26Dw5x8t3qGW5SyY83qH1zQNf6de61rk3TN+Tvh/lB2bfUrfN5/sz +cnUZjCW3ecWkV4a+O278ey/2/Nudt/VekOupFmX75o0YOurjqaP6XfPHoRsy +EnEYLO3v//zB9W3m5ro8gkAfpPFRCW730Ae1fRCbFldE2rulK+Gaowgix1ag +D0ZwZOWAOjWavTRi8PD5dt/OlWx5renl/VYKvR5cnrf44auuHrm1hBWtHVjv +jGYTc/zeZZnkf3tnrYbDN9s+ASvf//mNZ9V6cM7eMpbY+2nb06s1nuDy+KWH +duwpss2m/MCcm846756JW/L3r1uVk/UxhWueuLR+nx8zNsRlsMSBef2u/fOb +G5NP6Eo2v3r5Oa2m7XHZF+fB8hbdfVnbWRWFKtu/dPLWrETsB7MidP9w+iCJ +r0rwu4c+qO6DwLS4IjLeLVkJTo4C8zCRY8vvg1JKd37U+YarM7i514KDWbu3 ++vE61RsM3eTvNd8KKiK+seZllc+T8pd0rt/i3W3kP0HLndey5pVjdthu+MH5 +d1xwyROVP+5kBd91u+Ccdl8ddFqnZOtbjU4+83bbZ1F53/zjovpPrnF60la8 +6eUranX4NuPFa+fB8pf2rlun17KC5J/LdoxpVrPFhBzne95tsIJlPS48oXrj +nmNWFdgdIvvBmLUJTeuecuplzR2bkIKsD0x9JdAHxX2Qm5YLrgibwTg5CsyT +hHtsBfrA+Uqhg9Lds1/odWON01uM3+n32XDp9veurNGoomKJvTN73Pbv5fn0 +n0/ewvYXNnrjJ7snP/mLO19U58HUl//CNQMbXHzf/1w2tCx3+ayvfjpi8wEF +y7rXruvyNKJo7aBL6/X6/rDgYAVLO513dvsFh5J/Tuye0rLmVe9tdzuDzoOV +J8qLtk59pNWZvz/txrE7stewHyxtbYHnw4R9YOorgT6o7YPstDxwRWQPxsuR +Pw8TOrb8PgRO6Z45QwZP2Za7ol/t05qM8tU0lnwVc9WER//10GsTP5k6d9Nh +JV9cizcNbVT/frs9Pfx974sv7LQ4+dW/dMeEDi3un7nP0316ZEXfurW7Li1w +/IC8RXfVaZ6VuuNg+z+/+pRqLcYlnxYVrX+7xdlXvGr/UgJ3rvVvj9yQPAEH +v2pX5zq71tkPZoV7/9D2gamvBPqgtA9k01aBKyJzMH6OfMSOLb8PgVKyZ8G7 +3a/vMmNvIpG//O1m1U6o9cD0n328RpPYN/OeejVPPfH4X1VwfLWGfWl+FziD +ovWDmzR/a2vWoShc/dglNa76e5/Bw4YPefrR4V/u8XKXJgrWzRzatsZJF/Wa +sjLf4VvnonWDm1xn8zKD02Clu6be2+CUky+6vuvAFx9vfOYfBq/z9NueFU9u +rqjfafhHH49/Y9Dz07bb5OQ0mAXX+4e6D0xLJdAHVX2gnPYouCKyBuPnyEH4 +2Ar0IUKU5Mx4/pnJW1NtLS89sGTYgEXcX9zxQiL36/7tXsj84WnxhucvPb/9 +l95+TUmC8rzFj7V/5ju7lxnsB7NwaGHHC+v1F/uxL+VgQaGnEuiD7GDe8D8t +rghuJdRh4P2gkLJdk2+o1Wrq0V+8SeRvmPPJ7B3K/q2vom3Th41M+7ccSraM +aHjuDZ+p/u+HFG37bMSrs3IcX7HIHsxC/pKutWr3XK7k5VveYAGgsRLog+xg +8vieFleEw2A6MPB+UEp5wYoht9arUfPy1nd2G/DCyCnL9iv+trC8eN/+4lS1 +ygu3zx917wUn1fjL2/N3Ov46JAWJwt25xZwHsAxmeeORrd98+HjzU06q++S8 +XAWv34oMphu9lUAfZAcTh2ZaXBE2g2nCxPsBAAAAAAAAAAAAAAAAAAAAAAAA +ACA6wE8N0oCZGlSBywFoBX5qkAbM1KAKXA5AM/BT/zIbZMQwU1dhZhkY5PXG +bruxg4UJ+KnTgIwYZupjmFkGBnm9gdtu7GBGISDwjaOf2na11CLhlRFTyMph +phbbdmNb6nv99FHjeDm4rBD5PmiASJ1sAX7q9PcYIiMmkZXHzUztzQmuQVbu +raVyQF5vt1J8+6AeSXWyAPBTZ2CMjJhCVh4/M7UnJ7gOWbmnlkoDeX0GMe+D +WohlxAx+apNlxHpl5RExU3tyguuQlXtqKZOWU0Nen07c+6ASahkxg5/aYBmx +Zll5NMzU3pzgGmTl3loqC+T1GcS8D2qhlhEz+KkNlhFrlpVHwUzt1QmuXFbu +taVSQF6fSbz7oBxaGTGDn9poGbFWWXkEzNR+nOBKZeV+WioK5PV2y8e3D5oh +USfDTw0ZcQqYqSMmK/cPLgf0QRgKdTL81JARp4CZ2mEwC+GSlfsGlwP6IAaZ +Ohl+6szBNGGcjBhmapvBLG8MlaycBlwOmYNZ3hjDPgAAAAAAAAAAAAAAAAAA +AAAAAAAARA4oqkEVUFSDTHA/AH1AUQ2qgKIaZIL7AWgEiuoUZiqJNfuIoaj+ +ZTb0IfWIuB8qQR/0AEX1McxUEmv0EUNRnUbs+5AE98Mx0AdfCNlyoaj2pyR2 +X9DbPKJTWfDjK+8PRbXszselD7gfxHbe+D4YAteWC0V1GpJKYo5HWARtvvKj +jwZ/feZKse2DyB6G5X5gZN2OZh9MQMCWC0V1BpJKYo5HWGAeps9XDn+9DTHu +g8AehuZ+IDODR7QPBkDsK4ei2mYwjkdYYJ4kenzl8NejD+nI7CGXQO8HOjN4 +VPsQOV85FNXZg/E8wvx5mDZfOfz16EM6cnvII8j7gc4MHtU+BA+1rxyK6qzB +uB5hPtp85fDX2xDnPlDtYRVB3g9U3Y5uH4KH1lcORXXGYCIeYQ7afOWVwF+f +vXyc+0C0h0cJ9n4g6naE+2AS/m25UFRHyVcOf70gUe4D6R4GfD9YCMoMHvo+ +6MO3LReKaofBdEDvI4a/XvSBI9wHyj0M+n6wEKQZPNR90AONLReKapvBNEHr +I4a/Xpzo9oF6D4O8HyxvNMAMHs4+AAAAAAAAAAAAAAAAAAAAAAAAAAAAF+Cn +BpnATw2qwP0A9AE/NcgEfmpQBe4HoBP4qX+ZDT7i1CPCT10J+sBwP1hnQx+U +Az91GvARM/ipLcS+D7gf0oh9H/wh4PCFn1rM/BsJH7HQHsbPT227WmoRD33w +Pw/384K/3utDi+K0SLT7oBo6p7OFgPzUDD5i3z5i+KltHsI9Qck+cNolgmG+ +cmlCfj/EuQ/KkXM6iywYmJ8aPmICHzH81NlwEpTsA6ddAvMwo3zlkkTgfohz +H1RD6iNmQfqp4SOm8BHDT50NJ0HJPnDaJTBPklD6ylk07oc490ExtD5iFqCf +Gj5iCh8x/NTZ7+ElKNcHXrv487DQ+spZJO6HOPdBMcQ+Yhagnxo+YgIfMfzU +2XATlOkDv118wusrZxG4H2LdB8XQ+ohZoH5q+Ij9+4jhp85AJEHxPoi0i0OY +feUs/PdDzPugGGqnc5B+agvwEXsEfmp50AdxcD+Euw+KIXY6B+qntgAfsUfg +p/bwwOiDKLgfQt4HlShwOgfmp7a8ET5ij8BP7QX0QWZJ3A+OgykFvnIAAAAA +AAAAAAAAAAAAAAAAAAAAAMXQ+Ii5GmIp4Cy24nM36KKBYTwDnB3TwdkJF4Q+ +YjcNsRRwFluh2A2SaGAYzwBnx3RwdsIGoY/YRUMsRbidxeSPSGEPJ4kmCoZx +UnB25GbD2WE4O5wpCH3ELhpiKULsLFYAiT2cIprwG8aJwdmRBmcn1mdHwOHr +10cspCEWGEnCl22ss9j3+l52gzdtJSTRhNww7nt9jxsiMHPEzo7LChpN6xJn +x3XmqJ0dn+n4hMjxnUKHe9ePs5jKv+zNWewBbjrC9nAtWmQBYpUO2cxi04Ti +7HCqSGfWpjo7eqIRIRTp+EHS4ctD1L3rCse968tZLOlfJnYWyyKQjrA9XEc0 +QsQpHRlEvfauhOLscKpIY9amPDs6ohEiFOn4QM7hy0fMvcuD697l4OwslvMv +kzuLmZw9nDQdM6JhSMcJMa89jzCcHU4VSczapOmYEQ0LSzr8s+OArMOXh6h7 +1xUB9y4HR2exrH+Z2lksB2k6hkTDkI7TeoJee1dCcXZ4VaQwa5OmY0g0LCTp +eIfM4VuJPvcuB0dnMZl/2aOzWA7CdIyJhiEde7R57TkoT4dfRQqzNmU6pkTD +QpKOd4gc3yn0uXf5ozg4i0n8y36cxVLQpWNQNAzpZKHTa89FaToiVSQxa1Ol +Y1Q0LBzpUKDU4asfezUwtX/ZCXI7MNIhBOm4g3RMJmLpOKDS4RsQ2WpgYv+y +8wNT24GRDuUDIx0uSMdkIpSODaodvgFiUQMr8C87QGsHRjq0IB1BkI7JRCAd +AAAAAAAAAAAAAAAAAAAAAAAAAIAIAeey6cC5bCo4O6aDsxMu4Fw2HTiXTQVn +x3RwdsIGnMtys8G5zOBcPgrOjtxsODsMZ4czBZzLssC5HGvn8i/g7EiDsxPr +syNguYWvXPqTNdO5rD4ag5zLLp+vxnTgK5f9NHXa5OErl/1Myc6O498ls9we +Xc9wXzkjckz7N2KLOC5F0omSr5xFLh2ymUUIydnRY8QmPDuh8JUzY9IRtMnb +I2e55WG8r1zSMa3QiC2UGj+dSPnKI5eODMb7ysnS0WPEJjw7YfCVm5OOr69H +MpZbPmZIsZ2tvnIWY7VGbL5zmTQdM6JhSMcJM6TYOtLRY8QmTMeMaFhY0hE5 +Ow7IWW55GCLFdrT6ylqMVRqxRZ5FEKZjSDQM6ThgiBRbQzp6jNiE6RgSDQtJ +Oj6+P6IyRFdijBTb0epLZjEmMGILpEaXjjHRMKRjjylSbOXpaDJiE6ZjSjQs +JOl4/3pEZLlNYZAU28nqS2IxJjJi81OjS8egaBjS8TQzh5CcHW1GbKp0jIqG +hSMdz1+PdFlu9WNv9bWg1GJMY/VFOkgnCJCOyUQhHQc0WW4DItvqa0GlxZjI +6ot0kE5QIB2TCXs6duiz3AaIxepreaNiizGF1RfpIJ2AQTomE9p0AAAAAAAA +AAAAAAAAAAAAAAAAAAAiiRKRrjGa4ChAZ6A20a8dZnB2TAdnJ1woEekaowmO +AnQGahP92mEGZ8d0cHbCBqFz+RiaNMFBiH1D6lxOodWvHYN0cHakwNlJgXRc +piB0Lh9DhyY4OLFvGJ3LlWj0a8ciHZwdaXB2WJzTEbDc+vWV22hzNSi2ncW+ +vGX5cD9BM53LAqvpctPHJZ0gz47tgkKKbRkptn8Xtod0iGzyQZ4d2zWjkY4f +qH3lSbjaXA2KbSexryb1sHnO5arZSYzGR6dDOsaeHT876SzF1qK812iTD+rs +RDsdX9A6l4W0uToU245iX1H1sLPPl4moh81zLksbjXkgHZPPjg/FtmM6ookr +T4fIJh/c2Yl0Or6gdS5LanM5+FBsO4p9xdTDbj7fJFz1sHnOZdpoGNIx++z4 +UGw7piOWuI50dNvkqc9OFNMhgda5LK3NdcWPYttJ7CuqHnb2+TIh9bBxzmXa +aBjSMfvs+FFsO6Ujmrj6dHTb5KnPTrTT8QGtc5lQOe1Xse0g9tWmHjbNuUwa +DUM6zOiz428n7dPRp7w3zyZPe3aino53SH3lSYi0ucy/Yjtb7KtTPWyUczkF +XTQM6TCDz47/nbSTYutT3ptmk2ekZycG6XhGpdVXqTZXBK7YVx2GO5cDj4Yh +HVcCDwjpOBF4NCwC6Tig0uqrUpsrjKvYV+Gjmu1cNiIahnQcMSIgpGOHEdGw +kKdjh0Krr2ptrtwwdmJfpZjsXDYqGoZ0spc2KSCkk7auSdGwsKYDAAAABMr/ +AXvADAA= + "], {{0, 130}, {560, 0}}, {0, 255}, + ColorFunction->RGBColor], + BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], + Selectable->False], + DefaultBaseStyle->"ImageGraphics", + ImageSize->Automatic, + ImageSizeRaw->{560, 130}, + PlotRange->{{0, 560}, {0, 130}}]], "Output", + ImageSize->{564, 130}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellTags->"RasterizedOutput", + CellLabel->"Out[52]=", + CellID->1673414009] +}, Open ]], + +Cell[TextData[{ + "This is, however, not always what we want and can be inhibited via the \ +option ", + StyleBox["EpsContract", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "[", + RowBox[{"p", ",", "q"}], "]"}], + RowBox[{ + RowBox[{"LC", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}], "[", + RowBox[{"r", ",", "s"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"x", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", + RowBox[{"%", ",", + RowBox[{"EpsContract", "\[Rule]", "False"}]}], "]"}]}], "Input", + CellLabel->"In[55]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{143, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[55]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["x", + TraditionalForm], "_"], + TraditionalForm]}]]}], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]]}], TraditionalForm]], "Output", + ImageSize->{130, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[56]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Dimensions", "Section"], + +Cell[TextData[{ + "You might have wondered why 4-vectors, scalar products and Dirac matrices \ +all have a bar, like ", + Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["p", "_"], "\[Mu]"], TraditionalForm]]], + " or ", + Cell[BoxData[ + FormBox[ + RowBox[{ + OverscriptBox["p", "_"], " ", "\[CenterDot]", + OverscriptBox["q", "_"]}], TraditionalForm]]], + ". The bar is there to specify that they are 4-dimensional objects. Objects \ +that live in D-dimensions do not have a bar, c. f." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[57]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{26, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[57]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", "D"}], "]"}], ",", + RowBox[{"Momentum", "[", + RowBox[{"p", ",", "D"}], "]"}]}], "]"}]], "Output", + ImageSize->{329, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[58]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[59]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{35, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[59]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", "D"}], "]"}], ",", + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Nu]", ",", "D"}], "]"}]}], "]"}]], "Output", + ImageSize->{361, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[60]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[61]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{39, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[61]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p", ",", "D"}], "]"}], ",", + RowBox[{"Momentum", "[", + RowBox[{"q", ",", "D"}], "]"}]}], "]"}]], "Output", + ImageSize->{297, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[62]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"GAD", "[", "\[Mu]", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[63]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{24, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[63]="], + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", "D"}], "]"}], ",", "D"}], "]"}]], "Output", + ImageSize->{272, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[64]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"GSD", "[", "p", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[65]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{35, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[65]="], + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p", ",", "D"}], "]"}], ",", "D"}], "]"}]], "Output", + ImageSize->{240, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[66]//StandardForm="] +}, Open ]], + +Cell[TextData[{ + "This origin of this notation is the publication of Breitenlohner and Maison \ +(1977, ", + Cell[BoxData[ + TemplateBox[{Cell[ + TextData["link"]],"https://inspirehep.net/record/124212"}, + "WebLink", + BaseStyle->{"Text"}]]], + ") on the treatment of ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]], + " in D-dimensions in the t\[CloseCurlyQuote]Hooft-Veltman scheme. The main \ +idea was that we can decompose indexed objects in 4 and D-4 dimensional \ +pieces, e.g.\n", + Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["p", "\[Mu]"], "="}], TraditionalForm]]], + Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["p", "_"], "\[Mu]"], TraditionalForm]]], + "+", + Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["p", "^"], "\[Mu]"], TraditionalForm]]] +}], "Text"], + +Cell["\<\ +Consequently, in FeynCalc we can also enter D-4 dimensional objects\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FVE", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[67]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{26, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[67]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{"Momentum", "[", + RowBox[{"p", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]}], "]"}]], "Output", + ImageSize->{393, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[68]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"MTE", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[69]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "^"], + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{40, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[69]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"p", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{"LorentzIndex", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]}], "]"}]], "Output", + ImageSize->{425, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[70]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SPE", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[71]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "^"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{39, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[71]="], + +Cell[BoxData[ + RowBox[{"Pair", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{"Momentum", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]}], "]"}]], "Output", + ImageSize->{361, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[72]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"GAE", "[", "\[Mu]", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[73]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "^"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{24, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[73]="], + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{ + RowBox[{"LorentzIndex", "[", + RowBox[{"\[Mu]", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]], "Output", + ImageSize->{336, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[74]//StandardForm="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"GSE", "[", "p", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCI"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[75]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "^"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{35, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[75]="], + +Cell[BoxData[ + RowBox[{"DiracGamma", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"p", ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}], ",", + RowBox[{ + RowBox[{"-", "4"}], "+", "D"}]}], "]"}]], "Output", + ImageSize->{304, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[76]//StandardForm="] +}, Open ]], + +Cell["\<\ +When we contract Lorentz tensors from different dimensions, the contractions \ +are resolved according to the rules from the paper of Breitenlohner and \ +Maison, e.g.\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[77]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{53, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[77]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{43, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[78]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FVE", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[79]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{53, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[79]="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + ImageSize->{13, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[80]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "+", + RowBox[{"FVE", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]}], ")"}], + RowBox[{"(", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}], "+", + RowBox[{"FVE", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], ")"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[81]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{151, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[81]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"3", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "^"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{113, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[82]="] +}, Open ]], + +Cell["\<\ +Sometimes we need to switch from one dimension to another, e.g. to convert a \ +4-dimensional object to a D-dimensional one or vice versa. This is done via\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{"ChangeDimension", "[", + RowBox[{"%", ",", "4"}], "]"}]}], "Input", + CellLabel->"In[83]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{26, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[83]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{28, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[84]="] +}, Open ]], + +Cell[TextData[{ + "The second argument of ", + StyleBox["ChangeDimension", + FontWeight->"Bold"], + " is the new dimension . The most common choices are 4, D or D-4" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FVD", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "\[IndentingNewLine]", + RowBox[{"ChangeDimension", "[", + RowBox[{"%", ",", + RowBox[{"D", "-", "4"}]}], "]"}]}], "Input", + CellLabel->"In[87]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{26, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[87]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "^"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{26, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[88]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{"ChangeDimension", "[", + RowBox[{"%", ",", "D"}], "]"}]}], "Input", + CellLabel->"In[89]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{43, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[89]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{39, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[90]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Kinematics", "Section"], + +Cell["\<\ +FeynCalc allows us to specify the values of scalar products before doing the \ +calculation.\ +\>", "Text"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "=", "s"}], ";"}]], "Input", + CellLabel->"In[91]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}]], "Input", + CellLabel->"In[92]:="], + +Cell[BoxData[ + FormBox["s", TraditionalForm]], "Output", + ImageSize->{13, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[92]="] +}, Open ]], + +Cell["To clear the previously set values, use", "Text"], + +Cell[BoxData[ + RowBox[{"FCClearScalarProducts", "[", "]"}]], "Input", + CellLabel->"In[94]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}]], "Input"], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{43, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}] +}, Open ]], + +Cell[TextData[{ + "A good habit is to always apply ", + StyleBox["FCClearScalarProducts", + FontWeight->"Bold"], + "[] before setting the values, like in" +}], "Text"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p1", ",", "p1"}], "]"}], "=", + RowBox[{"m1", "^", "2"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p2", ",", "p2"}], "]"}], "=", + RowBox[{"m2", "^", "2"}]}], ";"}]}], "Input", + CellLabel->"In[98]:="], + +Cell["\<\ +Setting up the kinematics in advance improves performance of FeynCalc and \ +leads to more compact results. The results with the fully arbitrary \ +kinematics are the most complicated and the longest ones. Before continuing, \ +we clear the previously set values\ +\>", "Text"], + +Cell[BoxData[ + RowBox[{"FCClearScalarProducts", "[", "]"}]], "Input", + CellLabel->"In[101]:="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Expanding and undoing expansions", "Section"], + +Cell["\<\ +FeynCalc offers further useful functions for the manipulations of Lorentz \ +tensors and Dirac matrices. To expand scalar products\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex1", "=", + RowBox[{"SP", "[", + RowBox[{ + RowBox[{"p", "+", "q", "+", "r"}], ",", + RowBox[{"s", "+", "t"}]}], "]"}]}]], "Input", + CellLabel->"In[102]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["t", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{160, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[102]="] +}, Open ]], + +Cell["or expressions like", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex2", "=", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"p", "+", "q", "+", "r"}], ",", "\[Mu]"}], "]"}]}]], "Input", + CellLabel->"In[103]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{97, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[103]="] +}, Open ]], + +Cell["we can use", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ExpandScalarProduct", "[", "ex1", "]"}]], "Input", + CellLabel->"In[104]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["t", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["t", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["t", + TraditionalForm], "_"], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{294, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[104]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ExpandScalarProduct", "[", "ex2", "]"}]], "Input", + CellLabel->"In[105]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "+", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "+", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], TraditionalForm]], "Output", + ImageSize->{105, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[105]="] +}, Open ]], + +Cell[TextData[{ + "Notice that ", + StyleBox["ExpandScalarProduct", + FontWeight->"Bold"], + " can also do expansions only for the given momentum, while leaving the rest \ +of the expression untouched, e.g." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"x", " ", + RowBox[{"SP", "[", + RowBox[{ + RowBox[{"p1", "+", "p2"}], ",", + RowBox[{"q1", "+", "q2"}]}], "]"}]}], "+", + RowBox[{"y", " ", + RowBox[{"SP", "[", + RowBox[{ + RowBox[{"p3", "+", "p4"}], ",", + RowBox[{"q3", "+", "q4"}]}], "]"}]}], "+", + RowBox[{"z", " ", + RowBox[{"SP", "[", + RowBox[{ + RowBox[{"p5", "+", "p6"}], ",", + RowBox[{"q5", "+", "q6"}]}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"ExpandScalarProduct", "[", + RowBox[{"%", ",", + RowBox[{"Momentum", "\[Rule]", + RowBox[{"{", "p1", "}"}]}]}], "]"}]}], "Input", + CellLabel->"In[106]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"x", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"y", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p3", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p4", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q3", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q4", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"z", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p5", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p6", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q5", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q6", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], + TraditionalForm], ")"}]}]}], TraditionalForm]], "Output", + ImageSize->{543, 21}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[106]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"y", " ", + RowBox[{"(", + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p3", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p4", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q3", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q4", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"z", " ", + RowBox[{"(", + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p5", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p6", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["q5", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q6", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"x", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q1", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q2", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}]}], TraditionalForm]], "Output", + ImageSize->{371, 45}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[107]="] +}, Open ]], + +Cell[TextData[{ + "For the expansion of ", + StyleBox["Eps", + FontWeight->"Bold"], + " tensors, we use" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"LC", "[", "]"}], "[", + RowBox[{ + RowBox[{"p1", "+", "p2"}], ",", "q", ",", "r", ",", "s"}], + "]"}], "\[IndentingNewLine]", + RowBox[{"EpsEvaluate", "[", "%", "]"}]}], "Input", + CellLabel->"In[108]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{87, 20}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[108]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], "+", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]]}], TraditionalForm]], "Output", + ImageSize->{144, 20}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[109]="] +}, Open ]], + +Cell[TextData[{ + StyleBox["EpsEvaluate", + FontWeight->"Bold"], + " also reorders the arguments of ", + StyleBox["Eps", + FontWeight->"Bold"], + " according to its antisymmetric properties" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"LC", "[", + RowBox[{"\[Mu]", ",", "\[Sigma]", ",", "\[Rho]", ",", "\[Nu]"}], + "]"}], "\[IndentingNewLine]", + RowBox[{"EpsEvaluate", "[", "%", "]"}]}], "Input", + CellLabel->"In[110]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{53, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[110]="], + +Cell[BoxData[ + FormBox[ + RowBox[{"-", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]]}], TraditionalForm]], "Output", + ImageSize->{64, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[111]="] +}, Open ]], + +Cell[TextData[{ + "The inverse of ", + StyleBox["ExpandScalarProduct", + FontWeight->"Bold"], + " is called ", + StyleBox["MomentumCombine", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"3", + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}]}], "+", + RowBox[{"4", + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"MomentumCombine", "[", "%", "]"}]}], "Input", + CellLabel->"In[128]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"3", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{"4", " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{91, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[128]="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"3", " ", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], "+", + RowBox[{"4", " ", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{93, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[129]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"2", + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}]}], "+", + RowBox[{"9", + RowBox[{"SP", "[", + RowBox[{"q", ",", "r"}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"MomentumCombine", "[", "%", "]"}]}], "Input", + CellLabel->"In[130]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], ")"}]}], "+", + RowBox[{"9", " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], ")"}]}]}], TraditionalForm]], "Output", + ImageSize->{143, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[130]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], "+", + RowBox[{"9", " ", + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{112, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[131]="] +}, Open ]], + +Cell[TextData[{ + "For Dirac matrices the corresponding functions are ", + StyleBox["DiracGammaExpand", + FontWeight->"Bold"], + " and ", + StyleBox["DiracGammaCombine", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "q"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"r", "+", "s"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracGammaExpand", "[", "%", "]"}]}], "Input", + CellLabel->"In[132]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + ImageSize->{229, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[132]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{245, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[133]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "q"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"r", "+", "s"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracGammaExpand", "[", + RowBox[{"%", ",", + RowBox[{"Momentum", "\[Rule]", "r"}]}], "]"}]}], "Input", + CellLabel->"In[134]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + ImageSize->{229, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[134]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{245, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[135]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "q"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"r", "+", "s"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracGammaExpand", "[", "%", "]"}], "\[IndentingNewLine]", + RowBox[{"DiracGammaCombine", "[", "%", "]"}]}], "Input", + CellLabel->"In[136]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + ImageSize->{229, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[136]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{245, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[137]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{229, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[138]="] +}, Open ]], + +Cell[TextData[{ + "Notice the ", + StyleBox["DiracGammaExpand", + FontWeight->"Bold"], + " does not expand the whole noncommutative product. If you need that, use ", + StyleBox["DotSimplify", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "q"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"r", "+", "s"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "DiracGammaExpand"}], "//", "DotSimplify"}]}], "Input", + CellLabel->"In[139]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + ImageSize->{229, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[139]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}]}], TraditionalForm]], "Output", + ImageSize->{321, 35}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[140]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Handling indices", "Section"], + +Cell["\<\ +There are two quite recent functions that can to some further extent simplify \ +the handling of Lorentz (and other) indices When you square an expression \ +with dummy indices, you must rename them first. People often do this by hand, \ +like\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ex1", "=", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], "+", + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}], ")"}], + RowBox[{"FV", "[", + RowBox[{"r", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"r", ",", "\[Nu]"}], "]"}]}]}]], "Input", + CellLabel->"In[141]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{126, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[141]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", " ", + RowBox[{"(", + RowBox[{"ex1", "/.", + RowBox[{"\[Mu]", "\[Rule]", "\[Rho]"}]}], + ")"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[142]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ")"}], "2"], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{246, 21}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[142]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], "2"]}], TraditionalForm]], "Output", + ImageSize->{134, 18}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[143]="] +}, Open ]], + +Cell["However, since FeynCalc 9 there is a function for that", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCRenameDummyIndices", "[", "ex1", "]"}]], "Input", + CellLabel->"In[144]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$489", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$489", ")"}]}], + TraditionalForm], + TraditionalForm]], "+", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$489", ")"}]}], + TraditionalForm], + TraditionalForm]]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{258, 22}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[144]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"ex1", " ", + RowBox[{ + "FCRenameDummyIndices", "[", "ex1", "]"}]}], "\[IndentingNewLine]", + RowBox[{"Contract", "[", "%", "]"}]}], "Input", + CellLabel->"In[145]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$490", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$490", ")"}]}], + TraditionalForm], + TraditionalForm]], "+", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$490", ")"}]}], + TraditionalForm], + TraditionalForm]]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{383, 22}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[145]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], "2"]}], TraditionalForm]], "Output", + ImageSize->{134, 18}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[146]="] +}, Open ]], + +Cell[TextData[{ + "Notice that ", + StyleBox["FCRenameDummyIndices", + FontWeight->"Bold"], + " does not canonicalize the indices" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Nu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}]}], "-", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"FCRenameDummyIndices", "[", "%", "]"}]}], "Input", + CellLabel->"In[147]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{118, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[147]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$492", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$492", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$491", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$491", ")"}]}], + TraditionalForm], + TraditionalForm]]}]}], TraditionalForm]], "Output", + ImageSize->{298, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[148]="] +}, Open ]], + +Cell["But since FeynCalc 9.1 there is a function for that too", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Nu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}]}], "-", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{"p", ",", "\[Mu]"}], "]"}], + RowBox[{"FV", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"FCCanonicalizeDummyIndices", "[", "%", "]"}]}], "Input", + CellLabel->"In[149]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "-", + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{118, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[149]="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + ImageSize->{13, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[150]="] +}, Open ]], + +Cell[TextData[{ + "Finally, often we also need to uncontract already contracted indices. This \ +is done by ", + StyleBox["Uncontract", + FontWeight->"Bold"], + ". By default, it handles only contractions with Dirac matrices and \ +Levi-Civita tensors" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"LC", "[", "]"}], "[", + RowBox[{"p", ",", "q", ",", "r", ",", "s"}], "]"}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p"}], "]"}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%%", ",", "p", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[151]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{65, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[151]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$500", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$500", ")"}]}], + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]]}], TraditionalForm]], "Output", + ImageSize->{177, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[152]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$502", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$501", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{"-", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$501", ")"}]}], + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$502", ")"}]}], + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["s", + TraditionalForm], "_"], + TraditionalForm]}]]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{311, 22}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[153]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GS", "[", + RowBox[{"p", "+", "m1"}], "]"}], ".", + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"q", "+", "m2"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p"}], "]"}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%%", ",", "p", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[154]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + ImageSize->{221, 21}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[154]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$503", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$503", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{331, 22}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[155]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$505", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$505", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$504", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$504", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{441, 22}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[156]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{" ", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "+", " ", + RowBox[{"SP", "[", + RowBox[{"p", ",", "r"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p"}], "]"}]}]}]], "Input", + CellLabel->"In[157]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{95, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[157]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{95, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[158]="] +}, Open ]], + +Cell[TextData[{ + "To make ", + StyleBox["Uncontract", + FontWeight->"Bold"], + " work with scalar products, we need to specify a list of vectors, that are \ +contracted with the vector that we wish to uncontract" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{" ", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "+", " ", + RowBox[{"SP", "[", + RowBox[{"p", ",", "r"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p", ",", + RowBox[{"Pair", "\[Rule]", + RowBox[{"{", "q", "}"}]}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p", ",", + RowBox[{"Pair", "\[Rule]", + RowBox[{"{", "r", "}"}]}]}], "]"}]}]}]], "Input", + CellLabel->"In[159]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{95, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[159]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$506", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$506", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{195, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[160]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$506", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$506", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$507", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$507", ")"}]}], + TraditionalForm], + TraditionalForm]]}]}], TraditionalForm]], "Output", + ImageSize->{295, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[161]="] +}, Open ]], + +Cell["or we can uncontract all the suitable scalar products via", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{" ", + RowBox[{ + RowBox[{ + RowBox[{"SP", "[", + RowBox[{"p", ",", "q"}], "]"}], "+", " ", + RowBox[{"SP", "[", + RowBox[{"p", ",", "r"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"Uncontract", "[", + RowBox[{"%", ",", "p", ",", + RowBox[{"Pair", "\[Rule]", "All"}]}], "]"}]}]}]], "Input", + CellLabel->"In[162]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{95, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[162]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$508", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["q", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$508", ")"}]}], + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$509", ")"}]}], + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["r", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{"$AL", "\[InvisibleApplication]", + RowBox[{"(", "$509", ")"}]}], + TraditionalForm], + TraditionalForm]]}]}], TraditionalForm]], "Output", + ImageSize->{295, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[163]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Dirac algebra", "Section"], + +Cell[TextData[{ + "The two most relevant functions for the manipulations of Dirac matrices are \ +", + StyleBox["DiracSimplify", + FontWeight->"Bold"], + " and ", + StyleBox["DiracTrace", + FontWeight->"Bold"] +}], "Text"], + +Cell[TextData[{ + "The goal of ", + StyleBox["DiracSimplify", + FontWeight->"Bold"], + " is to eliminate all pairs of Dirac matrices with the equal indices or \ +contracted with the same 4-vectors" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "m"}], "]"}], ".", + RowBox[{"GA", "[", "\[Mu]", "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[164]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{147, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[164]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m", + TraditionalForm], "_"], + TraditionalForm]}]}]}], "-", + RowBox[{"2", " ", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}]}]}], TraditionalForm]], "Output", + ImageSize->{126, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[165]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GA", "[", "\[Mu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "m1"}], "]"}], ".", + RowBox[{"GA", "[", "\[Nu]", "]"}], ".", + RowBox[{"GS", "[", + RowBox[{"p", "+", "m2"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[166]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + ImageSize->{245, 21}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[166]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["m2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["p", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}]}]}], TraditionalForm]], "Output", + ImageSize->{379, 45}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[167]="] +}, Open ]], + +Cell[TextData[{ + "Of course, ", + StyleBox["DiracSimplify", + FontWeight->"Bold"], + " also works with D-dimensional objects" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GSD", "[", + RowBox[{"p", "+", "m"}], "]"}], ".", + RowBox[{"GAD", "[", "\[Mu]", "]"}]}], "\[IndentingNewLine]", + RowBox[{"DiracSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[168]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + FormBox[ + RowBox[{"\[Gamma]", "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["m", + TraditionalForm], "+", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], ")"}], ".", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{140, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[168]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{"D", " ", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]}]}], "-", + RowBox[{"D", " ", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}]}], "+", + RowBox[{"2", " ", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]}], "+", + RowBox[{"2", " ", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}]}]}], TraditionalForm]], "Output", + ImageSize->{253, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[169]="] +}, Open ]], + +Cell[TextData[{ + StyleBox["DiracTrace", + FontWeight->"Bold"], + " is used for the evaluation of Dirac traces. The trace is not evaluated by \ +default" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracTrace", "[", + RowBox[{"GA", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "]"}]], "Input", + CellLabel->"In[170]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + TraditionalForm], ")"}], TraditionalForm]], "Output", + ImageSize->{72, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[170]="] +}, Open ]], + +Cell[TextData[{ + "To obtain the result we can either use the option ", + StyleBox["DiracTraceEvaluate", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracTrace", "[", + RowBox[{ + RowBox[{"GA", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], ",", + RowBox[{"DiracTraceEvaluate", "\[Rule]", "True"}]}], "]"}]], "Input", + CellLabel->"In[171]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"4", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]]}], TraditionalForm]], "Output", + ImageSize->{49, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[171]="] +}, Open ]], + +Cell[TextData[{ + "or use ", + StyleBox["DiracSimplify", + FontWeight->"Bold"], + " instead." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", + RowBox[{"DiracTrace", "[", + RowBox[{"GA", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], "]"}], "]"}]], "Input", + CellLabel->"In[172]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"4", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]]}], TraditionalForm]], "Output", + ImageSize->{49, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[172]="] +}, Open ]], + +Cell[TextData[{ + "We can also compute traces with ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"DiracTrace", "[", + RowBox[{"GA", "[", + RowBox[{ + "\[Alpha]", ",", "\[Beta]", ",", "\[Mu]", ",", "\[Nu]", ",", "\[Rho]", + ",", "\[Sigma]", ",", "5"}], "]"}], "]"}], "//", + "DiracSimplify"}]], "Input", + CellLabel->"In[174]:="], + +Cell[BoxData[ + GraphicsBox[ + TagBox[RasterBox[CompressedData[" +1:eJztnAtME2cAx3Ez2+KyxGmMJoZkLj5QxxB1CiLyEFGMBgEfTHETwkNQcYIT +xAkqTKbVgRM08nDoQIcCQ1BhvhbxLSIO8AmIoFAExNIW+qK9taDo2nt87V3v +Ub5fAin02rv7/b/77trCf5Tfes/AD8zMzMI/UX/z9I1wCgvz3ew1WP3DktDw +4KDQAH+30I0BQQFhNn4fqn85Vv0VM8DMTHMbgUAgEAgwSsGd9N1JWdlpP3kF +5fIVTG8OBBQYnC7QCZdQCUqC3X59IkVktQfmeGY2ksxLqaJms/oVBkmjODiT +QD8ncKwaFcmzwtRjBbmJvr6/P226mnquWTcN4Y0A17gzvNXeC1clV4oNiUPR +kOHld0WAIOLy0FnfXe94/z55S8luN7uYBxKkqypi1qLiNu0VKIWV2aknzp3L +jPGNu9nx/r0qybO/D2cVns3YOHnIkC/Gjhtn6bLzscSA7aMfAO140sDAC65/ +agcYzGS14yfbX7WjIb4bvTC6ohNRvsyb55S4K/Zia7fOMl0VEa5bqrrUC5et +t/O9asBBoGor8pp/vKkbkT6Os3E52azUul9Q4uOa9FTSXOi347ZQKw1l+8U1 +C5NqZQgifRTnuPy68N2zCq6EeyTVyDTjJX32giKdHNkLiHYiacQQBdfvtCMA +g5mkdoBkuaFdwc/xtva5JcRcQFqTsGzp3mrDZz9BydKpgWVi9YRcf2iGVcBf +KOdfRFq9Z96aUpHm1pN4G4djTbrHCRHiOyGu8Y+lSHfjH4428epLXi0kD3cu +iL5ZejSjQjsMTYjz7XnVaudI570wl6jKrr672i962kU/0Oy8rHqvy/c3sD3p +Bzu0E0ojhDC4/qYdARnM5LSDJMsu7egomnL9Zw4z98aJQ9lRnpdXLtD/nPj2 +8c05jlOj7ksQ1avzS5z3VYteyXSeS/H8sLNLNl/9e1nNPodZvGoDjoLHcbZz +zrapZLWHnCasvCXUWYfk/nYnn61ZNV26jxVeXzbGNrNRPUbE/8b6JGtm/r6N +P+lsu0sTlLTm4Lfb7or03i5UWKKdWBoRxMH1M+0IiBNy2oGSZZN2dOQvcrYk +nuFNHo0XBz4R2PD5/J5FFPy8kMVx+Teu5W2fPX1DelGVjmxlS8Eip8jIrVs3 +b/BfEZZVi33ewVgFgnQ3HXeycHD2+WE7L8F9ivueU3VdWjO+sHTN6swGOcqT +Sh7GWI6cviDmSEF+VsY/zf9bRNGUE+wRmXG6IPPw+RcgU2L3y8KgdbdxdbJF +O4A09NX1aQcIjibtANCjHcAJWe0AybJIOzryhuyolEcddQemYMUhb72SvtrV +3mPXnhS0KfQtsudnEnipmclBYwd9NNx1bezROv2uWlWvL610S6sH+Jik+/Xt +1HCf5f6hG6N+TivveOdc1Va8eHZyHZpsQhT1KfY2e947AZCi+8XROQsuvcZe +gDXawaVhaQcPDgVqtRNCl3ZiJ6S1k4Jm7ejInmVGpatf28qfYcehfnl52WP0 +9MT8gw8wzxUq4e0fpzmk1MsR6aNt44fP6Lne1AtF0zF3h90Ar7QkD+NnWqzI +bdSNTZOn7aZKnCGDjbxuv+2kTVUGPRYFgsmHPdqBpWFqBw4ODYq1E0CbdmIn +pLWTgg7tiqaTfnMdtJi/9prgzfWdtPZI1JGnGkW4cYjvBFpYR+f/VtaO9ba3 +svX0PHOrnplUVOo30T6twWh/59FZHjLqs5HOnsvUePvHP+w01ooM4Z1wW4vP +h1rZaQvvBWqnGKJx3gvUTjFg2jGQPuE5Wlla9TDBfNDHg8d87bT+nlh7sa6q +iIkTQ/KSLrdgfvikeJ7+zYgp6hCUrcXBi+PLRcb7cE5Q4jriy3X3WJWCLnhX +PlA7I0DtbEXRkDZtDPq5QFbDs7bwOXEw887VC2hvamlQiu7/GRWycX/2qfxL +tZ1G/bMA6ZN4y2HWCQZe5tMF4Xs+vUDtjAC1swqcOCSPdth/5bnKKzS9UoQR +RlvxqvHmQz8dOEDNwMGTw4366ZxKVHHAz3GGe+Cm6G2xCYV8al8NUwT5yQdq +Nx5Qu6kg5xf9Eptb3zs3qxTtpYmRNwmPOghZoHZGgNpZRHdz7tzRLvktvWcJ +paj6wqnzjSZ9kcgKoHZGgNpZhUpcyVs0foT5JFfvoMhdKXllr+D/M9MA1M4I +UDsEAoFAIBAIBAKBQCAQCAQCQWCbLnNA80wBzbMC2KbLFNA8U0DzbyBRJ0sM +FdXQ+G26XK20xdVOwU4Z37wGMmODQYzakGxs84QHLLcwrE6WGEqqoXHbdDnd +JIylnYKdMr55DWTGBoMYtSGZFvN4ByyF0FJpa1idLCHUVEPjtulyukkYSzv5 +naLBPEJubKBDi3ajNiTTYx7ngKUOeiptDauTJYSaamjcNl1ONwljaSe/UzSY +10BibKBCk3ZjNiTTZB7ngKUKmiptDa2TxVtRz5NTUQ1N0KbL3QJnBFu7fjvF +kHk9xgYYdGmnriGZMfM4ByxFsKFJGKxO1uAmWwrbdEHhUIEzAEyap7ZqmDbt +FG02l8a83rCiSRioTtbwJlvq2nTB4U6BMzGMmqe0apg+7dRsNrfGvJ5wqNKW +1U22fZhigTMHzJtogTMHzBsOlyptOdZka0IFzhwzjwnHtCOmY54I1lfacqzJ +1oQKnDlmHgQuaEdM0jwq7K+05VaTrSkVOHPLPAic0I6YonmqgZW2jAC1MwLU +ziJgpS0jQO2MALWzClhpywhQOyNA7RAIBMJy/gODea7T + "], {{0, 38}, {383, 0}}, {0, + 255}, + ColorFunction->RGBColor], + BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], + Selectable->False], + DefaultBaseStyle->"ImageGraphics", + ImageSize->Automatic, + ImageSizeRaw->{383, 38}, + PlotRange->{{0, 383}, {0, 38}}]], "Output", + ImageSize->{387, 38}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellTags->"RasterizedOutput", + CellLabel->"Out[174]=", + CellID->809079463] +}, Open ]], + +Cell[TextData[{ + "However, by default FeynCalc refuses to compute a D-dimensional trace that \ +contains ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"DiracTrace", "[", + RowBox[{"GAD", "[", + RowBox[{ + "\[Alpha]", ",", "\[Beta]", ",", "\[Mu]", ",", "\[Nu]", ",", "\[Rho]", + ",", "\[Sigma]", ",", "5"}], "]"}], "]"}], "//", + "DiracSimplify"}]], "Input", + CellLabel->"In[175]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Alpha]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Beta]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["5", + TraditionalForm]]}], + TraditionalForm], ")"}], TraditionalForm]], "Output", + ImageSize->{193, 22}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[175]="] +}, Open ]], + +Cell[TextData[{ + "This is because by default FeynCalc is using anticommuting ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]], + " in D-dimensions, a scheme known as Naive Dimensional Regularization (NDR)" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", + RowBox[{ + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GA", "[", "5", "]"}], ".", + RowBox[{"GAD", "[", "\[Nu]", "]"}]}], "]"}]], "Input", + CellLabel->"In[176]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"-", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["5", + TraditionalForm]]}]}], TraditionalForm]], "Output", + ImageSize->{82, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[176]="] +}, Open ]], + +Cell[TextData[{ + "In general, a chiral trace is a very ambiguous object in NDR. The results \ +depends on the position of ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]], + " inside the trace, so that we chose not to produce results that might be \ +potentially inconsistent. However, FeynCalc can also be told to use the \ +Breitenlohner-Maison-t\[CloseCurlyQuote]Hooft-Veltman scheme (BMHV), which is \ +an algebraically consistent scheme (but has other issues, e.g. it breaks Ward \ +identities)" +}], "Text"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}], ";"}]], "Input",\ + + CellLabel->"In[179]:="], + +Cell[TextData[{ + "Notice that now FeynCalc anticommutes ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[Gamma]", "5"], TraditionalForm]]], + " according to the BMHV algebra, which leads to the appearance of D-4 \ +dimensional Dirac matrices" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"DiracSimplify", "[", + RowBox[{ + RowBox[{"GAD", "[", "\[Mu]", "]"}], ".", + RowBox[{"GA", "[", "5", "]"}], ".", + RowBox[{"GAD", "[", "\[Nu]", "]"}]}], "]"}]], "Input", + CellLabel->"In[180]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "^"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["5", + TraditionalForm]]}]}], "-", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["5", + TraditionalForm]]}]}], TraditionalForm]], "Output", + ImageSize->{166, 19}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[180]="] +}, Open ]], + +Cell["Also Dirac traces are not an issue now", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"DiracTrace", "[", + RowBox[{ + RowBox[{"GAD", "[", + RowBox[{ + "\[Alpha]", ",", "\[Beta]", ",", "\[Mu]", ",", "\[Nu]", ",", "\[Rho]", + ",", "\[Sigma]"}], "]"}], ".", + RowBox[{"GA", "[", "5", "]"}]}], "]"}], "//", "DiracSimplify"}]], "Input",\ + + CellLabel->"In[181]:="], + +Cell[BoxData[ + GraphicsBox[ + TagBox[RasterBox[CompressedData[" +1:eJztnQtwVNUZgLF12o6dzlAdR2YcZmoHFKQUASsEhBAIERgoEFCoxpZkgPDQ +UIECxhJAUlMIFqw8RiAIGLAISQOIUBA6AgLyMJTwTsKbJPIMSchustk93WV5 +LMm995y953HPOft/MzrILsme7/zn5i7J+D2TNC5+5I8aNWo04Wf+f8UnTo4Z +Pz7x3UGN/f/xasqE0ckpI4b3Tpk4InnE+I5JP/b/5u/9/1Q90qhR4NcIAAAA +AJzGW34wa/b8VWuW/nVQck6px+mXA+CBLRMGqAZUxVe+c3Tvf5x2o5rihT3j +sy9TTq/Xx+ZlRQi2dDHeMsCc8FTD8APCcJ3buGT1hpx5iYmfninZvWRrWcPZ +rNg7Ii59U+aoof2GLSiosjOcngvLByXtKkeoKj+l6x/33Ap9rPbKztm9O087 +7kLVRyd3HbDlWv1P4K0oWLPki61bs6clpu+7Ffqoz3XuP8tWbfxq+cR2jz/+ +q2efe6517AenXDZen0gIhFvpIsNqy0B46KNYGziwpwO/m5oJB6Sg6vu0fmlH +biPvD7m9YubNmrn9al2D51QfmRz33tFq/5MPjeucuNvGlcZ3bfOgPp+X1CH3 +qfSOsWvLvPUeL9+ZEDf/jKtsY9L7+yvqnQ7vje1j+80vrkHIfTK92+t7Kh58 +1PJdEwbOL6oJnJ6sHn03h30qnYBEOE4XHtyWgfBQrGxgwZ4O7G5qJhwgx1O6 +bmjbhO8qTJ/gLpo75LUPC+18NS/f+dqLIw9V+e9ezn/Sqc2IfxvcQyJ34Zxe +Yw9UBn51OqNj9OqShhcjHFUHx8RlnHKjusufdeuY4X/7Wg/XiQ/6pu07sHL5 +kQZHy38k+3TJLPSPN7p9eHxsakH1/YdubI/vnHY8sOyawg9j/7TX3FB4OC0c +qwsLdstAeCgWNrDgTwduNx0QDkiBpyRn+MtPNh1qMfneW/m5ufnl4d/dIW/Z +um4vph5zId/1ba92/6iw8npNg4/iubise+yaUv/v1xR9FN01s9DGpeZUelTP +r675aoo/iXn+ze8qGnwO17EZMQlTVxVVN/yzFXuGNI/Kvuw/MVX/m5mwIHAP +c//Fr+0eNStwJtxFi/4w/fvKsF+XIY4Lx+vCgd8yEB6KhQ0ceNXY3RQuHJCC +2kvr3pu3KbNdM6vJp8BTmjtmcHre3m9zZ/To8E7W5qMNRs97ZcOAmClTpk59 +953hb4xfVWx+7zT5YUpLS+8+UFfyeUyL6O4Jf56RObd/+/5z1p+trnd7VHFg +7KjsC7UGH9R1Ylrrpzv0nbZiQ96q5f8te+gpnpJ1owdOWf7lhuxl2y6RfMWp ++2Fj8tv7LUU6L5xA113MhBNsmSDhBEgg3MLGPeyrxu6m6AkHpKD2wprUxSdv +nV3Y3mzya6/uyhoV12XgrDmLre46ai5umpu5JHtB8rOP/eSpuLdmrjxL+vbW +d3PHm72Xnif4MYu6m/uXTEh4fXjKxNS/Lc2/9eAE+a5tGdxjwVmro2OK5/zi +Lh3nhNzKUFF3aWXPvjtumj9BAuHkusyEk2+ZAWyFY5FBOAH2VWN3U/CEA1JQ +cy47NavQhWrPmU8+QuXfDGzWYV7eouOmX6x9Ffv/8lL04vO1yH1yesunOt15 +B0mIp2R1/+jZBH8N4zqR8XKLN3IuNxziwHRHTSqw8X7Xf7DPfhz1wqSjtv6s +AZjJl0E4sS5T4cRbZgRj4RikEI6HQjV2N8VOOCAET8napFei69HnrW/L775j +cxevSF1xJjA2lpNfdXBki7Zpef88dMPsu0Deq1/2atrmzp1B5YGkVl2WXuDw +s86388c884unu8cP8TN0eMaJ2+w/hX0eqI5q8csn2nSurzoICGcGbraDqCJc +atVByCYckAP36cxubVq3ucPzTR/7aePmv40Zd7iq/tOqj05u1WpM7vxvrpj+ +8IrnYtbvmrT3z7v36pbRgzPyK3nsd/nOuCa/fvuwhGMfitVdDQgXjDLCVVIN +9+1q4bmw9KXmxnc1NUWZbVskfLEo++Dur42+SRTAW3nsX6ljJn68Zn3ejuLb +nL6Qu09ntH6y7VybfxMgCsLJB+GCkVu4Sqrh2q4WFpPvOvl+l9/EDxuUklVQ +aTL317YMa9n0iZ8/+oifRxu3m8DpB6l8lUcWJnXr1H/kpLTpM+duLLX1nVPe +0F/bQTgPJBeukGq4tkcMtaWb/z4z53zwjsPnuXFg3pR9sPEcAeGCAeFAJFJX +lvNKs9i8K8H7HW9l4dfrt11W4Z2lqoBwwYBwIDLxVRVkDmjZpOkLcUOTp8xa +nHvoOvzfALkCwgUDwgEAAAAAAAAAAAAAAAAAAAAAAAClgZqkeMB5KGBDMCA8 +IoCapHjAeShgQzAStXojeTcJ2p0WMUcSqGqSli1LJVOSOOFMFsXPeQC6eRAP +g56pNZQ9Vu1iqVStXmuYtIa1E24ESbvTPOZIBHVN0qxlqWRKEieczaK4OQ9A +OQ/ioe+ZWkPZY9UvlkrT6rWGSWtYHuFOpyQtYo4k0NckzVqWWrY7mSyKn3NE +PQ8G8BSOWNiwhrLHqlmdFtG1eq1h0hqWpk7rfErSPOZIAoOapEnLUst2J5NF +8XMegG4eDF4tT+GIiQ1LaHusetVpEWWr1xI2rWFJ6rQSpCStYo4PYRiUZFCT +NG1ZatnuDG9Rwp2HMQ9k8BbOxMYDjITT9Vh1ywHTtXpDsKlabJ3WNjKkJMli +jhxrkiKRQTgxzjhnG/fkL5yhDdMcMA3a5YCpWr33sK9acJ3WJlKkJIlijjxr +kgKRQjgpDjlnGvcUIJydDfMcMA3a5YCpWr13oVAtuk5rC1VSkkj+mqRe7c4g +UjsH4YLRKwcsteogZBNugjIpSaRWTdIUlYQjHZyDcA5okQNWQzUT5E5JIrVq +kiRILxxp5hyEs0KLHLAaqpkgeUoSKVWTJEF+4Ugv5yCcFXrkgJVQ7TSQkhQM +CBcMCBcMCJcCSEkKBoQLBoQLBoRLAqQkBQPCBQPCBQPCAQAAAAAAAAAAAAAA +AAAAAACIQCBuKBgQHlHAdosHnAeQKG6IIqJvKJdwFBHOHyB8sdJtt2CcmK5I +d34PbE2Sqo9J2TfUr5eKE85gUTydB1Ctl0q1WGsIVNOcL0UnnKZYiofSuY6X +FBOwNUmaPiaLvqFWvVSEEc5gUTydB1Cul0qzWGtIVFOcL1UnnKJYioeFc1ku +KU7HDWn6mEz6hjr1UhFOOP2iuDpHCvZSaRZrDYlqmvOl6ITTFEuxMHEu+pJi +jPNxQ4o+Jpu+oUa9VIQTTr8ors4DqNZLpVqsJSSqac6XohNOUyzFwsa52EuK +MRLEDal6qSz6hux6qSrUJOl7qVydq9dLpVpsCPZU050vJSecrlj6ELycC00w +GyND3JCul4pHZC9Vl5pkEGecq9ZLZTJgtlWzOl+kSDDhrIqlHJ07jxRxQ7pe +Kh6hvVQ9apJBHHKuWi+VxYDZV83ofJHj/IQzKpbydO44qsQNkfx9Q71qkkGk +dq5XL1Vq1UG0m3DZnUMvVTa0qEkGUca5KcoIV0m1LhOuknMa5I4bIoX6hlrU +JIMo45wEuYWrpFqXCVfJOQ2Sxw2ROn1DPWqSQVRxToLkwhVSrc2EK+TcISBu +KBgQLhgQLhgQLgUQNxQMCBcMCBcMCJcEiBsKBoQLBoQLBoQDAAAAAAAAAAAA +AAAAAAAAAAA4AvQNxQCexQPOxQPOG+BQOhP6hmIIz3NEdVS5Ac7FA86DWMcN +xeQ7bfcNAyiU7+S6FhbtTu7DIBjecUz+zgMoNOFBuBZgeTunTOhKhGXcUFC+ +027fMIBq+U5ea2HS7uQ9DE7AMY7J33kA1SacbwFWiHP7Cd2wcDRuKCbfabtv +iBTMd3JaCxPPvIfBGIeESzLbXOuixnAWzrUAK8a57YRuODgbNxST77TdNwyg +XL6Tz1rYeOY8DIY4JVyW2eZZFzWEu3CeBVhBzu0mdMPA8bihiHwnRd9QwXwn +i7Xw8sx0GJAk+U5GcUyHnCs44ewKsI45J0vo0iBD3JAYZ/qGyuU7LXC8I8m8 +XStDvpMFTjpXbsIZvWCV5jxspIgbkuJQ31C5fKcFjnck2bdrJch3MsBR58pN +OJsXrNach4lCcUMked9Qo3yn1J7vo1e+UwHnGk14EAWc20eluCHSoW+ohnDF +PGuR71TMuSnKCEf6OMchfdwQadY3lFi4Yp61yHcq5pwEuYUjLZ0bIn/cEOnV +N5RZuFqe9ch3quWcBMmFIx2dswbihoIB4YIB4YIB4VIAcUPBgHDBgHDBgHBJ +gLihYEC4YEC4YEA4AAAAEJn8Hzao+Ec= + "], {{0, 78}, {500, 0}}, {0, 255}, + ColorFunction->RGBColor], + BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], + Selectable->False], + DefaultBaseStyle->"ImageGraphics", + ImageSize->Automatic, + ImageSizeRaw->{500, 78}, + PlotRange->{{0, 500}, {0, 78}}]], "Output", + ImageSize->{504, 78}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellTags->"RasterizedOutput", + CellLabel->"Out[181]=", + CellID->770551569] +}, Open ]], + +Cell[TextData[{ + "To compute chiral traces in the BMHV scheme, FeynCalc uses West\ +\[CloseCurlyQuote]s formula (T. West, 1991,", + Cell[BoxData[ + TemplateBox[{Cell[ + TextData[" link"]],"https://inspirehep.net/record/31057"}, + "WebLink", + BaseStyle->{"Text"}]]], + "). Still, NDR is the default scheme in FeynCalc" +}], "Text"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"FCSetDiracGammaScheme", "[", "\"\\"", "]"}], ";"}]], "Input",\ + + CellLabel->"In[182]:="], + +Cell["Another example of a trace computation", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"exp", "=", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", + RowBox[{"k", "-", "p1", "-", "p2"}], "]"}], "+", "m"}], ")"}], ".", + RowBox[{"GA", "[", "nu", "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + RowBox[{"GA", "[", "6", "]"}]}], "+", + RowBox[{"gR", " ", + RowBox[{"GA", "[", "7", "]"}]}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", + RowBox[{"k", "-", "p2"}], "]"}], "+", "m"}], ")"}], ".", + RowBox[{"GA", "[", "rho", "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + RowBox[{"GA", "[", "6", "]"}]}], "+", + RowBox[{"gR", " ", + RowBox[{"GA", "[", "7", "]"}]}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", "k", "]"}], "+", "m"}], ")"}], ".", + RowBox[{"GA", "[", "mu", "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + RowBox[{"GA", "[", "6", "]"}]}], "+", + RowBox[{"gR", " ", + RowBox[{"GA", "[", "7", "]"}]}]}], ")"}]}]}]], "Input", + CellLabel->"In[186]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", "m"}], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["6", + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{"gR", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm]}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", "m"}], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["6", + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{"gR", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm]}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}], + TraditionalForm], "+", "m"}], ")"}], ".", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"gL", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["6", + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{"gR", " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox["7", + TraditionalForm]], + TraditionalForm]}]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{430, 46}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[186]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"AbsoluteTiming", "[", + RowBox[{ + RowBox[{"res", "=", + RowBox[{"DiracTrace", "[", + RowBox[{"exp", ",", + RowBox[{"DiracTraceEvaluate", "\[Rule]", "True"}]}], "]"}]}], ";"}], + "]"}], "//", "First"}]], "Input", + CellLabel->"In[187]:="], + +Cell[BoxData[ + FormBox["0.126354`", TraditionalForm]], "Output", + ImageSize->{58, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[187]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["res"], "Input", + CellLabel->"In[188]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", "\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"], " ", + SuperscriptBox["gL", "3"]}], "+", + RowBox[{"3", " ", "\[ImaginaryI]", " ", "gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"\[ImaginaryI]", " ", "gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"2", " ", "\[ImaginaryI]", " ", "gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "+", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["gL", "2"]}], "+", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"2", " ", "gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "+", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "+", + RowBox[{"gR", " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["gL", "2"]}], "-", + RowBox[{"3", " ", "\[ImaginaryI]", " ", + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", "gL"}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", "gL"}], "+", + RowBox[{"2", " ", "\[ImaginaryI]", " ", + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", "gL"}], "+", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", "gL"}], "-", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", "gL"}], "+", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "-", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "+", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "+", + RowBox[{ + SuperscriptBox["gR", "2"], " ", + SuperscriptBox["m", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", "gL"}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", "\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"4", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"4", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["\[Epsilon]", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["gR", "3"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["k", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], "2"]}]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{570, 1175}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[188]="] +}, Open ]], + +Cell["\<\ +Consider for example the tree-level for amplitude for the q g -> q g \ +scattering.\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"amp", "=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "\[Mu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu2", "}"}], ",", "Col3", ",", "Col5"}], "]"}]}], + ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", + RowBox[{ + RowBox[{"-", "k1"}], "+", "p2"}], "]"}], "+", + RowBox[{"SMP", "[", "\"\\"", "]"}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "\[Nu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu4", "}"}], ",", "Col5", ",", "Col1"}], "]"}]}], + ")"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p1", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}]}], " ", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}]}], "}"}], ",", + RowBox[{"Dimension", "\[Rule]", "4"}]}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "\[ImaginaryI]", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Mu]"}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "\[ImaginaryI]"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Nu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "\[Nu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu4", "}"}], ",", "Col3", ",", "Col5"}], "]"}]}], + ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"GS", "[", + RowBox[{"k2", "+", "p2"}], "]"}], "+", + RowBox[{"SMP", "[", "\"\\"", "]"}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "\[Mu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu2", "}"}], ",", "Col5", ",", "Col1"}], "]"}]}], + ")"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p1", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}]}], " ", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "k2"}], "-", "p2"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}]}], "}"}], ",", + RowBox[{"Dimension", "\[Rule]", "4"}]}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "\[ImaginaryI]", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Mu]"}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "\[ImaginaryI]"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Nu]"}], "]"}]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p2", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GA", "[", "Lor3", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "Glu5", "}"}], ",", "Col3", ",", "Col1"}], "]"}]}], + ")"}], ".", + RowBox[{"Spinor", "[", + RowBox[{ + RowBox[{"Momentum", "[", "p1", "]"}], ",", + RowBox[{"SMP", "[", "\"\\"", "]"}], ",", "1"}], "]"}]}], " ", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "k1"}], "+", "k2"}], ",", + RowBox[{"Dimension", "\[Rule]", "4"}]}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k1", ",", "\[ImaginaryI]", ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Mu]"}], "]"}], " ", + RowBox[{"FV", "[", + RowBox[{ + RowBox[{"Polarization", "[", + RowBox[{"k2", ",", + RowBox[{"-", "\[ImaginaryI]"}], ",", + RowBox[{"Transversality", "\[Rule]", "True"}]}], "]"}], ",", + "\[Nu]"}], "]"}], " ", + RowBox[{"MT", "[", + RowBox[{"Lor3", ",", "Lor4"}], "]"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"FV", "[", + RowBox[{ + RowBox[{ + RowBox[{"2", " ", "k1"}], "-", "k2"}], ",", "\[Nu]"}], "]"}], " ", + RowBox[{"MT", "[", + RowBox[{"Lor4", ",", "\[Mu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "k1"}], "+", + RowBox[{"2", " ", "k2"}]}], ",", "\[Mu]"}], "]"}], " ", + RowBox[{"MT", "[", + RowBox[{"Lor4", ",", "\[Nu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FV", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "k1"}], "-", "k2"}], ",", "Lor4"}], "]"}], " ", + RowBox[{"MT", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}]}]}], ")"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"Glu2", ",", "Glu4", ",", "Glu5"}], "]"}]}]}]}]], "Input", + CellLabel->"In[189]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2], + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2], + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2]]], + Editable->False]], + RowBox[{ + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["Glu2", + TraditionalForm], + FormBox["Glu4", + TraditionalForm], + FormBox["Glu5", + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu5", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{483, 237}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[189]="] +}, Open ]], + +Cell["\<\ +One of the new functions in FeynCalc 9.1 and later was developed specifically \ +for the purpose of disentangling such mess and extracting the Dirac structures\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ampIso", "=", + RowBox[{"FCDiracIsolate", "[", + RowBox[{"amp", ",", + RowBox[{"Head", "\[Rule]", "diracS"}]}], "]"}]}]], "Input", + CellLabel->"In[190]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2], - + FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2], + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2], - + FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2]]], + Editable->False]], + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{"-", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], ")"}], " ", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{484, 234}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[190]="] +}, Open ]], + +Cell[TextData[{ + "Now all the Dirac structures are wrapped into the Head ", + StyleBox["diracS", + FontWeight->"Bold"], + ". So we can do something like" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"li", "=", + RowBox[{ + RowBox[{ + RowBox[{"Cases", "[", + RowBox[{"ampIso", ",", "_diracS", ",", "Infinity"}], "]"}], "//", + "DeleteDuplicates"}], "//", "Sort"}]}]], "Input", + CellLabel->"In[191]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], ",", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], ",", + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}]}], "}"}], + TraditionalForm]], "Output", + ImageSize->{442, 69}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[191]="] +}, Open ]], + +Cell[TextData[{ + "which gives us a sorted list of all the unique Dirac structures in amp. \ +This is useful for many purposes. For example, we could assign to these \ +structures some values and then substitute them back into the expression. For \ +simplicity, here we can use ", + StyleBox["DiracSimplify", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"evalLi", "=", + RowBox[{"DiracSimplify", "/@", + RowBox[{"(", + RowBox[{"li", "/.", + RowBox[{"diracS", "\[Rule]", "Identity"}]}], ")"}]}]}]], "Input", + CellLabel->"In[192]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ",", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], ",", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}]}], "}"}], + TraditionalForm]], "Output", + ImageSize->{511, 93}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[192]="] +}, Open ]], + +Cell["Now we create a substitution rule", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"repRule", "=", + RowBox[{"Thread", "[", + RowBox[{"Rule", "[", + RowBox[{"li", ",", "evalLi"}], "]"}], "]"}]}]], "Input", + CellLabel->"In[193]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], "\[Rule]", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], ",", + RowBox[{ + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], "\[Rule]", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], ",", + RowBox[{ + RowBox[{"diracS", "(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], ")"}], "\[Rule]", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}]}]}], "}"}], + TraditionalForm]], "Output", + ImageSize->{533, 165}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[193]="] +}, Open ]], + +Cell["and apply it ampIso", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ampIso", "/.", "repRule"}]], "Input", + CellLabel->"In[194]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2], - + FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2], + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", + FormBox[ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}], ")"}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2], - + FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2]]], + Editable->False]], + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{"-", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{484, 283}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[194]="] +}, Open ]], + +Cell[TextData[{ + StyleBox["FCDiracIsolate", + FontWeight->"Bold"], + " also has a lot of options for more fine-grained extraction" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Options", "[", "FCDiracIsolate", "]"}]], "Input", + CellLabel->"In[195]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"CartesianIndex", "\[Rule]", "False"}], ",", + RowBox[{"ClearHeads", "\[Rule]", + RowBox[{"{", + RowBox[{"FCGV", "(", "\<\"DiracChain\"\>", ")"}], "}"}]}], ",", + RowBox[{"Collecting", "\[Rule]", "True"}], ",", + RowBox[{"DiracChain", "\[Rule]", "False"}], ",", + RowBox[{"DiracGamma", "\[Rule]", "True"}], ",", + RowBox[{"DiracGammaCombine", "\[Rule]", "True"}], ",", + RowBox[{"DiracSigmaExplicit", "\[Rule]", "False"}], ",", + RowBox[{"DiracTrace", "\[Rule]", "True"}], ",", + RowBox[{"DotSimplify", "\[Rule]", "True"}], ",", + RowBox[{"ExceptHeads", "\[Rule]", + RowBox[{"{", "}"}]}], ",", + RowBox[{"Expanding", "\[Rule]", "True"}], ",", + RowBox[{"FeynCalcExternal", "\[Rule]", "False"}], ",", + RowBox[{"FeynCalcInternal", "\[Rule]", "False"}], ",", + RowBox[{"FCJoinDOTs", "\[Rule]", "True"}], ",", + RowBox[{"FCTraceExpand", "\[Rule]", "False"}], ",", + RowBox[{"FCVerbose", "\[Rule]", "False"}], ",", + RowBox[{"Factoring", "\[Rule]", + RowBox[{"{", + RowBox[{"Factor2", ",", "5000"}], "}"}]}], ",", + RowBox[{"Head", "\[Rule]", + RowBox[{"FCGV", "(", "\<\"DiracChain\"\>", ")"}]}], ",", + RowBox[{"Isolate", "\[Rule]", "False"}], ",", + RowBox[{"IsolateFast", "\[Rule]", "False"}], ",", + RowBox[{"IsolateNames", "\[Rule]", "KK"}], ",", + RowBox[{"LorentzIndex", "\[Rule]", "False"}], ",", + RowBox[{"Polarization", "\[Rule]", "False"}], ",", + RowBox[{"Spinor", "\[Rule]", "True"}], ",", + RowBox[{"Split", "\[Rule]", "True"}], ",", + RowBox[{"TimeConstrained", "\[Rule]", "3"}], ",", + RowBox[{"ToDiracGamma67", "\[Rule]", "False"}]}], "}"}], + TraditionalForm]], "Output", + ImageSize->{535, 147}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[195]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Color algebra", "Section"], + +Cell["FeynCalc objects relevant for the color algebra are", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNT", "[", "a", "]"}]], "Input", + CellLabel->"In[196]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["T", + FormBox["a", + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{27, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[196]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "b", ",", "c"}], "]"}]], "Input", + CellLabel->"In[197]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{48, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[197]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUND", "[", + RowBox[{"a", ",", "b", ",", "c"}], "]"}]], "Input", + CellLabel->"In[198]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{49, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[198]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNDelta", "[", + RowBox[{"a", ",", "b"}], "]"}]], "Input", + CellLabel->"In[199]:="], + +Cell[BoxData[ + FormBox[ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{35, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[199]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["SUNN"], "Input", + CellLabel->"In[200]:="], + +Cell[BoxData[ + FormBox["N", TraditionalForm]], "Output", + ImageSize->{19, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[200]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["CA"], "Input", + CellLabel->"In[201]:="], + +Cell[BoxData[ + FormBox[ + SubscriptBox["C", "A"], TraditionalForm]], "Output", + ImageSize->{28, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[201]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData["CF"], "Input", + CellLabel->"In[202]:="], + +Cell[BoxData[ + FormBox[ + SubscriptBox["C", "F"], TraditionalForm]], "Output", + ImageSize->{26, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[202]="] +}, Open ]], + +Cell[TextData[{ + "Currently there are two main functions to deal with colored objects: ", + StyleBox["SUNSimplify", + FontWeight->"Bold"], + " and ", + StyleBox["SUNTrace", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SUNT", "[", + RowBox[{"a", ",", "a"}], "]"}], "\[IndentingNewLine]", + RowBox[{"SUNSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[203]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["T", + FormBox["a", + TraditionalForm]], ".", + SuperscriptBox["T", + FormBox["a", + TraditionalForm]]}], TraditionalForm]], "Output", + ImageSize->{55, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[203]="], + +Cell[BoxData[ + FormBox[ + SubscriptBox["C", "F"], TraditionalForm]], "Output", + ImageSize->{26, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[204]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"SUNT", "[", + RowBox[{"a", ",", "b", ",", "a", ",", "b"}], "]"}], "\[IndentingNewLine]", + RowBox[{"SUNSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[205]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["T", + FormBox["a", + TraditionalForm]], ".", + SuperscriptBox["T", + FormBox["b", + TraditionalForm]], ".", + SuperscriptBox["T", + FormBox["a", + TraditionalForm]], ".", + SuperscriptBox["T", + FormBox["b", + TraditionalForm]]}], TraditionalForm]], "Output", + ImageSize->{113, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[205]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + FractionBox["1", "2"]}], " ", + SubscriptBox["C", "F"], " ", + RowBox[{"(", + RowBox[{ + SubscriptBox["C", "A"], "-", + RowBox[{"2", " ", + SubscriptBox["C", "F"]}]}], ")"}]}], TraditionalForm]], "Output", + ImageSize->{142, 35}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[206]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNTrace", "[", + RowBox[{"SUNT", "[", + RowBox[{"a", ",", "b"}], "]"}], "]"}]], "Input", + CellLabel->"In[207]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]}]], "2"], TraditionalForm]], "Output", + ImageSize->{39, 39}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[207]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNTrace", "[", + RowBox[{"SUNT", "[", + RowBox[{"a", ",", "b", ",", "b", ",", "a"}], "]"}], "]"}]], "Input", + CellLabel->"In[208]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FractionBox[ + SuperscriptBox["N", "3"], "4"], "-", + FractionBox["N", "2"], "+", + FractionBox["1", + RowBox[{"4", " ", "N"}]]}], TraditionalForm]], "Output", + ImageSize->{113, 38}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[208]="] +}, Open ]], + +Cell[TextData[{ + "Sometimes ", + StyleBox["SUNSimplify", + FontWeight->"Bold"], + " and ", + StyleBox["SUNTrace", + FontWeight->"Bold"], + " may require extra help to evaluate the given expression" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SUND", "[", + RowBox[{"i", ",", "a", ",", "b"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"j", ",", "b", ",", "c"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"k", ",", "c", ",", "a"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"SUNSimplify", "[", + RowBox[{"%", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}], "//", + RowBox[{ + RowBox[{"ReplaceAll", "[", + RowBox[{"#", ",", + RowBox[{ + RowBox[{"SUNTrace", "[", "a__", "]"}], "\[RuleDelayed]", + RowBox[{"SUNTrace", "[", + RowBox[{"a", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}]}]}], "]"}], + "&"}]}]}], "Input", + CellLabel->"In[223]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm], + FormBox["i", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["k", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["j", + TraditionalForm]}]]}], TraditionalForm]], "Output", + ImageSize->{145, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[223]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + FractionBox["1", "2"]}], " ", + RowBox[{"(", + RowBox[{"12", "-", + SubsuperscriptBox["C", "A", "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SubscriptBox["C", "A"], "-", + RowBox[{"2", " ", + SubscriptBox["C", "F"]}]}], ")"}], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], TraditionalForm]], "Output", + ImageSize->{235, 35}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[224]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SUND", "[", + RowBox[{"i", ",", "a", ",", "b"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"j", ",", "b", ",", "c"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"k", ",", "c", ",", "d"}], "]"}], + RowBox[{"SUND", "[", + RowBox[{"l", ",", "d", ",", "a"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"aux", "=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"SUNSimplify", "[", + RowBox[{"%", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}], "//", + RowBox[{ + RowBox[{"ReplaceAll", "[", + RowBox[{"#", ",", + RowBox[{ + RowBox[{"SUNTrace", "[", "a__", "]"}], "\[RuleDelayed]", + RowBox[{"SUNTrace", "[", + RowBox[{"a", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}]}]}], "]"}], + "&"}]}], "//", + RowBox[{ + RowBox[{"SUNSimplify", "[", + RowBox[{"#", ",", + RowBox[{"SUNFJacobi", "\[Rule]", "True"}], ",", + RowBox[{"SUNNToCACF", "\[Rule]", "False"}]}], "]"}], "&"}]}], "//", + RowBox[{ + RowBox[{"FCCanonicalizeDummyIndices", "[", + RowBox[{"#", ",", + RowBox[{"SUNIndexNames", "\[Rule]", + RowBox[{"{", + RowBox[{"m", ",", "n"}], "}"}]}]}], "]"}], "&"}]}]}]}], "Input", + CellLabel->"In[268]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["d", + TraditionalForm], + FormBox["l", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm], + FormBox["k", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["b", + TraditionalForm], + FormBox["i", + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["j", + TraditionalForm]}]]}], TraditionalForm]], "Output", + ImageSize->{195, 17}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[268]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"-", + RowBox[{ + FractionBox["1", "8"], " ", "\[ImaginaryI]", " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}]}], "+", + FractionBox[ + RowBox[{"3", " ", "\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "-", + RowBox[{ + FractionBox["1", "8"], " ", "\[ImaginaryI]", " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "+", + FractionBox[ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + RowBox[{ + FractionBox["1", "8"], " ", "\[ImaginaryI]", " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + FractionBox[ + RowBox[{"2", " ", "\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "-", + RowBox[{ + FractionBox["1", "8"], " ", "\[ImaginaryI]", " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "+", + FractionBox[ + RowBox[{"3", " ", "\[ImaginaryI]", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "-", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + RowBox[{ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], + SuperscriptBox["N", "2"]], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]]}], + SuperscriptBox["N", "2"]]}], TraditionalForm]], "Output", + ImageSize->{557, 229}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[269]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"SelectNotFree2", "[", + RowBox[{"aux", ",", "Complex"}], "]"}], "//", + RowBox[{ + RowBox[{"SUNSimplify", "[", + RowBox[{"#", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}], "&"}]}], "//", + RowBox[{ + RowBox[{"ReplaceAll", "[", + RowBox[{"#", ",", + RowBox[{ + RowBox[{"SUNTrace", "[", "a__", "]"}], "\[RuleDelayed]", + RowBox[{"SUNTrace", "[", + RowBox[{"a", ",", + RowBox[{"Explicit", "\[Rule]", "True"}]}], "]"}]}]}], "]"}], + "&"}]}]], "Input", + CellLabel->"In[270]:="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + ImageSize->{13, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[270]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SelectFree2", "[", + RowBox[{"aux", ",", "Complex"}], "]"}]], "Input", + CellLabel->"In[271]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "-", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + FractionBox["1", "4"], " ", "N", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["d", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["m", + TraditionalForm], + TraditionalForm]}]]}], "N"], "+", + RowBox[{ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]]}], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm]}]]}], + SuperscriptBox["N", "2"]], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["k", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm]}]]}], + SuperscriptBox["N", "2"]]}], TraditionalForm]], "Output", + ImageSize->{571, 88}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[271]="] +}, Open ]], + +Cell[TextData[{ + "There is also a function analogous to ", + StyleBox["FCDiracIsolate", + FontWeight->"Bold"], + ", called ", + StyleBox["FCColorIsolate", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData["amp"], "Input", + CellLabel->"In[272]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2], + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2], + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2]]], + Editable->False]], + RowBox[{ + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["Glu2", + TraditionalForm], + FormBox["Glu4", + TraditionalForm], + FormBox["Glu5", + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu5", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{483, 237}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[272]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ampIso", "=", + RowBox[{"FCColorIsolate", "[", + RowBox[{"amp", ",", + RowBox[{"Head", "\[Rule]", "colorS"}]}], "]"}]}]], "Input", + CellLabel->"In[273]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2], + FeynCalc`Momentum[$CellContext`k1] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2], - + FeynCalc`Momentum[$CellContext`k2] - + FeynCalc`Momentum[$CellContext`p2]], "-", FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2], - + FeynCalc`Momentum[$CellContext`k1] + + FeynCalc`Momentum[$CellContext`k2]]], + Editable->False]], + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], " ", + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], ")"}], " ", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]}]]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{472, 235}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[273]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"li", "=", + RowBox[{ + RowBox[{ + RowBox[{"Cases", "[", + RowBox[{"ampIso", ",", "_colorS", ",", "Infinity"}], "]"}], "//", + "DeleteDuplicates"}], "//", "Sort"}]}]], "Input", + CellLabel->"In[274]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]]}], ")"}], ",", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col5", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm]]}], ")"}], ",", + RowBox[{"colorS", "(", + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col1", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["Glu2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Glu5", + TraditionalForm], + TraditionalForm]}]]}], ")"}]}], "}"}], TraditionalForm]], "Output", + ImageSize->{553, 22}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[274]="] +}, Open ]], + +Cell[TextData[{ + "Notice that here we have color matrices in the fundamental representation \ +with explicit fundamental indices. Sadly, this was not available in FeynCalc \ +until the version 9. Such matrices are entered via ", + StyleBox["SUNTF", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SUNTF", "[", + RowBox[{"a", ",", "b", ",", "c"}], "]"}]], "Input", + CellLabel->"In[275]:="], + +Cell[BoxData[ + FormBox[ + SubsuperscriptBox["T", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}], + FormBox["a", + TraditionalForm]], TraditionalForm]], "Output", + ImageSize->{35, 18}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[275]="] +}, Open ]], + +Cell[TextData[{ + StyleBox["SUNSimplify", + FontWeight->"Bold"], + " can automatically contract them" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SUNTF", "[", + RowBox[{"a1", ",", "b", ",", "c"}], "]"}], + RowBox[{"SUNTF", "[", + RowBox[{"a2", ",", "c", ",", "d"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"SUNSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[276]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}], + FormBox["a1", + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}], + FormBox["a2", + TraditionalForm]]}], TraditionalForm]], "Output", + ImageSize->{70, 21}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[276]="], + +Cell[BoxData[ + FormBox[ + SubscriptBox[ + RowBox[{"(", + SuperscriptBox["T", + FormBox[ + FormBox["a1", + TraditionalForm], + TraditionalForm]], + SuperscriptBox["T", + FormBox[ + FormBox["a2", + TraditionalForm], + TraditionalForm]], ")"}], + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], TraditionalForm]], "Output", + ImageSize->{95, 23}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[277]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SUNTF", "[", + RowBox[{"a1", ",", "b", ",", "c"}], "]"}], + RowBox[{"SUNTF", "[", + RowBox[{"a2", ",", "c", ",", "b"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"SUNSimplify", "[", "%", "]"}]}], "Input", + CellLabel->"In[278]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + SubsuperscriptBox["T", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm]}], + FormBox["a1", + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["c", + TraditionalForm], + FormBox["b", + TraditionalForm]}], + FormBox["a2", + TraditionalForm]]}], TraditionalForm]], "Output", + ImageSize->{69, 21}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[278]="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + SuperscriptBox["\[Delta]", + RowBox[{ + FormBox[ + FormBox["a1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["a2", + TraditionalForm], + TraditionalForm]}]], "2"], TraditionalForm]], "Output", + ImageSize->{44, 39}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[279]="] +}, Open ]], + +Cell[TextData[StyleBox["In general, the color algebra subsystem of FeynCalc \ +is missing a lot of useful functionality and the performance is not \ +satisfactory. This is being worked on. We can do better and we will do \ +better!", "Item"]], "Text"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Loops", "Section"], + +Cell[TextData[{ + "Propagators (and products thereof) are represented via ", + StyleBox["FeynAmpDenominator", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FeynAmpDenominator", "[", + RowBox[{"PropagatorDenominator", "[", + RowBox[{ + RowBox[{"Momentum", "[", + RowBox[{"q", ",", "D"}], "]"}], ",", "m"}], "]"}], "]"}]], "Input", + CellLabel->"In[280]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False]], TraditionalForm]], "Output", + ImageSize->{61, 40}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[280]="] +}, Open ]], + +Cell["Again, for the external input we always use a shortcut", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{"q", ",", "m"}], "}"}], "]"}]], "Input", + CellLabel->"In[281]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False]], TraditionalForm]], "Output", + ImageSize->{61, 40}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[281]="] +}, Open ]], + +Cell["We can also have more propagators", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "m0"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q", "+", "p1"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q", "+", "p2"}], ",", "m1"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[282]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m0", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m0^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{321, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[282]="] +}, Open ]], + +Cell[TextData[{ + "The presence of ", + StyleBox["FeynAmpDenominator", + FontWeight->"Bold"], + " in an expression does not automatically mean that it is a loop amplitude. ", + StyleBox["FeynAmpDenominator", + FontWeight->"Bold"], + " can equally appear in tree level amplitudes, where it stands for the usual \ +4-dimensional propagator, like in amp" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{"amp", "\[IndentingNewLine]", + RowBox[{"Cases2", "[", + RowBox[{"amp", ",", "FAD"}], "]"}]}], "Input", + CellLabel->"In[283]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2], + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + RowBox[{ + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col5", + TraditionalForm]}], + FormBox["Glu4", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox[ + RowBox[{ + OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "+", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm], "+", + SubscriptBox["m", "u"]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col5", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu2", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2], + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2]]], + Editable->False]], + RowBox[{ + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k1", + TraditionalForm], ")"}], + TraditionalForm], " ", + FormBox[ + RowBox[{ + SuperscriptBox[ + SuperscriptBox[ + OverscriptBox["\[CurlyEpsilon]", "_"], "*"], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], "(", + FormBox["k2", + TraditionalForm], ")"}], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["Glu2", + TraditionalForm], + FormBox["Glu4", + TraditionalForm], + FormBox["Glu5", + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["g", "_"], + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor4", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + SubscriptBox["g", "s"], " ", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["Lor3", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col1", + TraditionalForm]}], + FormBox["Glu5", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + FormBox["\<\"\[CurlyPhi]\"\>", + TraditionalForm], + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + OverscriptBox[ + FormBox["p1", + TraditionalForm], "_"], + TraditionalForm], + FormBox["\<\",\"\>", + TraditionalForm], + FormBox[ + SubscriptBox["m", "u"], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], ")"}]}]}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{483, 237}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[283]="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2], + FeynCalc`Momentum[-$CellContext`k1 + $CellContext`k2]]], + Editable->False]], + TraditionalForm], ",", + FormBox[ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + OverscriptBox[ + FormBox["k1", + TraditionalForm], "_"], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + TraditionalForm], ",", + FormBox[ + FractionBox["1", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + OverscriptBox[ + FormBox["k2", + TraditionalForm], "_"]}], "-", + OverscriptBox[ + FormBox["p2", + TraditionalForm], "_"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SubsuperscriptBox["m", "u", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2], + FeynCalc`Momentum[-$CellContext`k2 - $CellContext`p2]], "-", + FeynCalc`SMP["m_u"]^2], + Editable->False]], + TraditionalForm]}], "}"}], TraditionalForm]], "Output", + ImageSize->{351, 41}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[284]="] +}, Open ]], + +Cell["\<\ +In FeynCalc there is no explicit way to distinguish between loop amplitudes \ +and tree-level amplitudes. When you use functions that manipulate loop \ +integrals, you need to tell them explicitly what is your loop momentum.\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell["Manipulations of FeynAmpDenominators", "Subsection"], + +Cell["\<\ +There are several functions, that are useful both for tree- and loop-level \ +amplitudes, depending on what we want to do\ +\>", "Text"], + +Cell["For example, one can split one FeynAmpDenominator into many", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"k1", "-", "k2"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{"FeynAmpDenominatorSplit", "[", "%", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCE"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[285]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["k2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`k2, D], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`k2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k1 - $CellContext`p2, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k2", + TraditionalForm], "+", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k2 + $CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k2 + $CellContext`p2, D]], + "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{328, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[285]="], + +Cell[BoxData[ + FormBox[ + FormBox[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["k2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`k2, D], + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`k2, D]]], + Editable->False], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`p2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k2", + TraditionalForm], "+", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k2, D] + + FeynCalc`Momentum[$CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k2, D] + + FeynCalc`Momentum[$CellContext`p2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm], + TraditionalForm], TraditionalForm]], "Output", + ImageSize->{324, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[286]="], + +Cell[BoxData[ + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"k1", "-", "k2"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}], "]"}]}]], "Output", + ImageSize->{360, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[287]//StandardForm="] +}, Open ]], + +Cell["or combine several into one", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FeynAmpDenominatorCombine", "[", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"k1", "-", "k2"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}], "]"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"%", "//", "FCE"}], "//", "StandardForm"}]}], "Input", + CellLabel->"In[288]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k2", + TraditionalForm], "+", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k2, D] + + FeynCalc`Momentum[$CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k2, D] + + FeynCalc`Momentum[$CellContext`p2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["k2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`k2, D], + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`k2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`p2, D], + FeynCalc`Momentum[$CellContext`k1, D] - + FeynCalc`Momentum[$CellContext`p2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{328, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[288]="], + +Cell[BoxData[ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}], ",", + RowBox[{"k1", "-", "k2"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}]}], "]"}]], "Output", + ImageSize->{294, 15}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[289]//StandardForm="] +}, Open ]], + +Cell[TextData[{ + "At the tree-level we often do not need the FeynAmpDenominators but rather \ +want to express everything in terms of explicit scalar products, in order to \ +exploit kinematic simplifications. This is handled by ", + StyleBox["FeynAmpDenominatorExplicit", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FeynAmpDenominatorExplicit", "[", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k2", "+", "p2"}], ",", "m"}], "}"}], ",", + RowBox[{"k1", "-", "k2"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", "p2"}], ",", "m"}], "}"}]}], "]"}], "]"}]], "Input", + CellLabel->"In[291]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["k1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["k2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["k1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["k2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["k1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["k1", + TraditionalForm], + TraditionalForm], "2"], "-", + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["k2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["k2", + TraditionalForm], + TraditionalForm], "2"], "-", + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], ")"}]}], + TraditionalForm]], "Output", + ImageSize->{447, 45}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[291]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["ApartFF", "Subsection"], + +Cell[TextData[{ + "For example, to cancel scalar products in the numerator we use ", + StyleBox["ApartFF", + FontWeight->"Bold"], + ", a very powerful partial fractioning routine that uses the algorithm of F. \ +Feng (2012, ", + Cell[BoxData[ + TemplateBox[{Cell[ + TextData["arXiv:1204.2314"]],"https://arxiv.org/abs/1204.2314"}, + "WebLink", + BaseStyle->{"Text"}]]], + " )" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "q"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "m"}], "}"}], ",", + RowBox[{"p", "+", "q"}]}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"ApartFF", "[", + RowBox[{"%", ",", + RowBox[{"{", "q", "}"}]}], "]"}]}], "Input", + CellLabel->"In[292]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p + $CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{144, 39}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[292]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{"2", " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{253, 46}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[293]="] +}, Open ]], + +Cell[TextData[{ + "Of course, ", + StyleBox["ApartFF", + FontWeight->"Bold"], + " can also handle much more interesting cases" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "p"}], "]"}], "=", + RowBox[{"4", " ", + RowBox[{"m", "^", "2"}]}]}], ";"}], "\[IndentingNewLine]", + RowBox[{"int", "=", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", + RowBox[{"p", "/", "2"}], "+", "q"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"k1", "-", + RowBox[{"p", "/", "2"}], "+", "q"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"p", "/", "2"}], "+", "q"}], ",", "m"}], "}"}], ",", "q", ",", + + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{"p", "/", "2"}], ")"}]}], "+", "q"}], ",", "m"}], "}"}]}], + "]"}]}]}], "Input", + CellLabel->"In[294]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1 + + Rational[-1, 2] $CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`k1 + + Rational[-1, 2] $CellContext`p + $CellContext`q, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], "2"], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FractionBox[ + FormBox["p", + TraditionalForm], "2"], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[Rational[1, 2] $CellContext`p + $CellContext`q, D], + + FeynCalc`Momentum[Rational[1, 2] $CellContext`p + $CellContext`q, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[Rational[-1, 2] $CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[ + Rational[-1, 2] $CellContext`p + $CellContext`q, D]], + "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{433, 56}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[296]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", "q", "}"}]}], "]"}]], "Input", + CellLabel->"In[297]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{"2", " ", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k1", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k1, D] + + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`k1, D] + + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], "2"]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{"2", " ", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FractionBox[ + FormBox["p", + TraditionalForm], "2"]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], + Rational[-1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k1", + TraditionalForm]}], "+", + FractionBox[ + FormBox["p", + TraditionalForm], "2"], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k1, D] + + Rational[1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`k1, D] + + Rational[1, 2] FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], "2"]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{365, 122}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[297]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"k", ",", "k"}], "]"}], "=", "0"}], + ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "p"}], "]"}], "=", + RowBox[{"m", "^", "2"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{"int", "=", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "p"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", + RowBox[{"2", " ", "p"}]}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "k", "-", + RowBox[{"2", " ", "p"}]}], ",", "m"}], "}"}]}], "]"}]}]}], "Input", + CellLabel->"In[298]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[(-2) $CellContext`p + $CellContext`q1, D], + FeynCalc`Momentum[(-2) $CellContext`p + $CellContext`q1, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k", + TraditionalForm]}], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k - + 2 $CellContext`p + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`k - + 2 $CellContext`p + $CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{451, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[301]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "p"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", + RowBox[{"2", " ", "p"}]}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "k", "-", + RowBox[{"2", " ", "p"}]}], ",", "m"}], "}"}]}], "]"}], ",", + RowBox[{"{", "q1", "}"}]}], "]"}]], "Input", + CellLabel->"In[302]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox["2", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["k", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`k, D] + + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`k, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[(-2) FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], (-2) + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], "2"]}]], + TraditionalForm], "-", + FormBox[ + FractionBox["1", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k", + TraditionalForm]}], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`k, D] - 2 + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`k, D] - 2 + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{347, 92}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[302]="] +}, Open ]], + +Cell[TextData[{ + StyleBox["ApartFF", + FontWeight->"Bold"], + " does not really care, if it is a 1-loop or a multi-loop integral\ +\[LineSeparator]\[LineSeparator]2-loops:" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], "\[IndentingNewLine]", + RowBox[{"int", "=", + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"q2", ",", "p"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "p"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", ",", "m"}], "}"}], ",", + RowBox[{"q1", "-", "p"}], ",", + RowBox[{"q2", "-", "p"}], ",", + RowBox[{"q2", "-", "q1"}]}], "]"}]}]}]}], "Input", + CellLabel->"In[303]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`q1 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`q1 + $CellContext`q2, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{376, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[304]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[305]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"], + RowBox[{"4", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{"2", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox["1", + RowBox[{"2", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{"4", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{503, 206}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[305]="] +}, Open ]], + +Cell["3-loops?", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"q2", ",", "p2"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q3", ",", "p1"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "p3"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", ",", "m"}], "}"}], ",", + RowBox[{"{", "q3", "}"}], ",", + RowBox[{"q1", "-", "p3"}], ",", + RowBox[{"q2", "-", "p2"}], ",", + RowBox[{"q2", "-", "q1"}], ",", + RowBox[{"q2", "+", + RowBox[{"2", "q3"}]}]}], "]"}]}]}]], "Input", + CellLabel->"In[306]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p3 + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`p3 + $CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p2 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`p2 + $CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`q1 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`q1 + $CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "+", + RowBox[{"2", " ", + FormBox["q3", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2 + 2 $CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2 + 2 $CellContext`q3, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{501, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[306]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2", ",", "q3"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[307]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q3, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q3, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p3", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q3", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q3, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q3", + TraditionalForm], "-", + FormBox["p3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D], - + FeynCalc`Momentum[$CellContext`p3, D] + + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["q3", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D], + FeynCalc`Momentum[$CellContext`q2, D] - + FeynCalc`Momentum[$CellContext`q3, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q1", + TraditionalForm]}], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + 2 FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{537, 422}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[307]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["FeynAmpDenominatorSimplify", "Subsection"], + +Cell[TextData[{ + "Another useful function for the manipulation of loop integrals (albeit by \ +far not as powerful as ", + StyleBox["ApartFF", + FontWeight->"Bold"], + ") is ", + StyleBox["FDS", + FontWeight->"Bold"], + " (", + StyleBox["FeynAmpDenominatorSimplify", + FontWeight->"Bold"], + ")" +}], "Text"], + +Cell[TextData[{ + StyleBox["FDS", + FontWeight->"Bold"], + " tries to simplify loop integrals by shifting the loop momenta and putting \ +scaleless integrals to zero. However, since ", + StyleBox["FDS", + FontWeight->"Bold"], + " has no information about the topology of the input expression, what it \ +does is basically heuristics. This is why the output is not always \ +satisfactory. An improvement of ", + StyleBox["FDS", + FontWeight->"Bold"], + " using is one of the top priorities for the future FeynCalc versions" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{" ", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"q", ",", "q"}], "]"}], "\[IndentingNewLine]", + RowBox[{"FeynAmpDenominatorSimplify", "[", + RowBox[{"%", ",", "q"}], "]"}]}]}]], "Input", + CellLabel->"In[308]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], TraditionalForm]], "Output", + ImageSize->{48, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[308]="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + ImageSize->{13, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[309]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"q", "-", "p1"}], ",", + RowBox[{"q", "-", "p2"}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"FeynAmpDenominatorSimplify", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[310]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p2 + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p2 + $CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{152, 40}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[310]="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], "+", + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{145, 40}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[311]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"q", "-", "k", "-", "p"}], ",", "m"}], "}"}], ",", "q"}], "]"}], + "-", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "m"}], "}"}], ",", + RowBox[{"q", "-", "p", "-", "k"}]}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"FeynAmpDenominatorSimplify", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[312]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + + FeynCalc`Momentum[-$CellContext`k - $CellContext`p + $CellContext`q, + D], + + FeynCalc`Momentum[-$CellContext`k - $CellContext`p + $CellContext`q, + D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], "-", + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["k", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`k - $CellContext`p + $CellContext`q, + D], + FeynCalc`Momentum[-$CellContext`k - $CellContext`p + $CellContext`q, + D]]], + Editable->False]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{378, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[312]="], + +Cell[BoxData[ + FormBox["0", TraditionalForm]], "Output", + ImageSize->{13, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[313]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"l", "-", "p"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"l", "+", "q"}], ",", "m"}], "}"}], ",", + RowBox[{"l", "-", "t"}], ",", + RowBox[{"l", "+", "a"}], ",", + RowBox[{"l", "-", "b"}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"FDS", "[", + RowBox[{"%", ",", "l"}], "]"}]}], "Input", + CellLabel->"In[314]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l - $CellContext`p, D], + FeynCalc`Momentum[$CellContext`l - $CellContext`p, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`l + $CellContext`q, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "-", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l - $CellContext`t, D], + FeynCalc`Momentum[$CellContext`l - $CellContext`t, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["a", + TraditionalForm], "+", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`a + $CellContext`l, D], + FeynCalc`Momentum[$CellContext`a + $CellContext`l, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "-", + FormBox["b", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`b + $CellContext`l, D], + FeynCalc`Momentum[-$CellContext`b + $CellContext`l, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{428, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[314]="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l, D], + FeynCalc`Momentum[$CellContext`l, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["a", + TraditionalForm], "+", + FormBox["l", + TraditionalForm], "+", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`a, D] + + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`t, D], + FeynCalc`Momentum[$CellContext`a, D] + + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`t, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["b", + TraditionalForm]}], "+", + FormBox["l", + TraditionalForm], "+", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`b, D] + + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`t, D], - + FeynCalc`Momentum[$CellContext`b, D] + + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`t, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "-", + FormBox["p", + TraditionalForm], "+", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l, D] - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`t, D], + FeynCalc`Momentum[$CellContext`l, D] - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`t, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "+", + FormBox["q", + TraditionalForm], "+", + FormBox["t", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q, D] + + FeynCalc`Momentum[$CellContext`t, D], + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q, D] + + FeynCalc`Momentum[$CellContext`t, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{496, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[315]="] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["TID", "Subsection"], + +Cell[TextData[{ + "1-loop tensor reduction using Passarino-Veltman method is handled by ", + StyleBox["TID", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{"{", + RowBox[{"q", ",", "m"}], "}"}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"TID", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[316]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False]], TraditionalForm]], "Output", + ImageSize->{61, 42}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[316]="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox["m", "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]]}], + RowBox[{"D", " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{91, 46}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[317]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q", ",", "p"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "m0"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q", "+", "p"}], ",", "m1"}], "}"}]}], + "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"TID", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[318]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m0", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m0^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p + $CellContext`q, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{195, 45}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[318]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"]}], + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m0", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m0^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m0", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m0^2], + Editable->False], ")"}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"], "+", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{563, 47}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[319]="] +}, Open ]], + +Cell[TextData[{ + "By default, ", + StyleBox["TID", + FontWeight->"Bold"], + " tries to reduce everything to scalar integrals with unit denominators.\n\ +However, if it encounters zero Gram determinants, it automatically switches \ +to the coefficient functions" +}], "Text"], + +Cell[BoxData[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p", ",", "p"}], "]"}], "=", "0"}], ";"}]}], "Input", + CellLabel->"In[320]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"TID", "[", + RowBox[{"int", ",", "q"}], "]"}]], "Input", + CellLabel->"In[322]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + RowBox[{"2", " ", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]], + TraditionalForm], "-", + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + TagBox[ + FormBox[ + RowBox[{ + SubscriptBox["\<\"B\"\>", "\<\"1\"\>"], "(", + RowBox[{"0", ",", + SuperscriptBox["m0", "2"], ",", + SuperscriptBox["m1", "2"]}], ")"}], + TraditionalForm], + HoldForm], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{366, 45}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[322]="] +}, Open ]], + +Cell[TextData[{ + "If we want the result to be express entirely in terms of Passarino-Veltman \ +function, i. e. without FAD\[CloseCurlyQuote]s, we can use ", + StyleBox["ToPaVe", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"TID", "[", + RowBox[{"int", ",", "q", ",", + RowBox[{"ToPaVe", "\[Rule]", "True"}]}], "]"}]], "Input", + CellLabel->"In[323]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + TagBox[ + FormBox[ + RowBox[{ + SubscriptBox["\<\"A\"\>", "\<\"0\"\>"], "(", + SuperscriptBox["m1", "2"], ")"}], + TraditionalForm], + HoldForm], + TraditionalForm]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox["m0", "2"], "-", + SuperscriptBox["m1", "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + TagBox[ + FormBox[ + RowBox[{ + SubscriptBox["\<\"B\"\>", "\<\"1\"\>"], "(", + RowBox[{"0", ",", + SuperscriptBox["m0", "2"], ",", + SuperscriptBox["m1", "2"]}], ")"}], + TraditionalForm], + HoldForm], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{411, 35}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[323]="] +}, Open ]], + +Cell[TextData[{ + StyleBox["ToPaVe", + FontWeight->"Bold"], + " is actually also a standalone function, so it can be used independently of \ +", + StyleBox["TID", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], "\[IndentingNewLine]", + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{"{", + RowBox[{"q", "+", "p1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q", "+", "p2"}], "}"}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"ToPaVe", "[", + RowBox[{"%", ",", "q"}], "]"}]}], "Input", + CellLabel->"In[324]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{177, 40}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[325]="], + +Cell[BoxData[ + FormBox[ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + FormBox[ + TagBox[ + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"0\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm], + HoldForm], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{327, 21}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[326]="] +}, Open ]], + +Cell["\<\ +Even if there are no Gram determinants, for some tensor integrals the full \ +result in terms of scalar integrals is just too large\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Mu]"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{"{", + RowBox[{"q", "+", "p1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q", "+", "p2"}], "}"}]}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"res", "=", + RowBox[{"TID", "[", + RowBox[{"int", ",", "q"}], "]"}]}]}], "Input", + CellLabel->"In[327]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p1 + $CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D], + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{177, 42}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[327]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}]}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}], "/", + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "4"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"4", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"8", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"8", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], "+", + RowBox[{"4", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], "+", + RowBox[{"8", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "+", + RowBox[{"8", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "+", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "-", + RowBox[{"8", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "-", + RowBox[{"4", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], "-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}]}], ")"}]}], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{"D", "-", "1"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}]}], ")"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}]}]}], ")"}]}]}], ")"}], "/", + + RowBox[{"(", + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], "+", + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}], " ", + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{558, 1836}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[328]="] +}, Open ]], + +Cell["\<\ +Of course we collect with respect to FAD\[CloseCurlyQuote]s and isolate the \ +prefactors, but the full result still remains messy\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Collect2", "[", + RowBox[{"res", ",", "FeynAmpDenominator", ",", + RowBox[{"IsolateNames", "\[Rule]", "KK"}]}], "]"}]], "Input", + CellLabel->"In[329]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + TagBox[ + RowBox[{"KK", "(", "2211", ")"}], + HoldForm], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + TagBox[ + RowBox[{"KK", "(", "2214", ")"}], + HoldForm], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p1", + TraditionalForm]}], "+", + FormBox["p2", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + TagBox[ + RowBox[{"KK", "(", "2216", ")"}], + HoldForm], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + TagBox[ + RowBox[{"KK", "(", "2218", ")"}], + HoldForm], + RowBox[{"4", " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{421, 86}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[329]="] +}, Open ]], + +Cell[TextData[{ + "In such cases, we can get a much more compact results , if we stick to \ +coefficient functions and do not demand the full reduction to scalars. To do \ +so, use the option ", + StyleBox["UsePaVeBasis", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"res", "=", + RowBox[{"TID", "[", + RowBox[{"int", ",", "q", ",", + RowBox[{"UsePaVeBasis", "\[Rule]", "True"}]}], "]"}]}]], "Input", + CellLabel->"In[330]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"00\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"11\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}]}], ")"}], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"12\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + FormBox[ + RowBox[{ + SubscriptBox["\<\"C\"\>", "\<\"22\"\>"], "(", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"2", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], "+", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], "+", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], ",", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], ",", "0", ",", "0", ",", "0"}], ")"}], + TraditionalForm]}]}], TraditionalForm]], "Output", + ImageSize->{499, 93}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[330]="] +}, Open ]], + +Cell[TextData[{ + "The resulting coefficient functions can be further reduced with ", + StyleBox["PaVeReduce", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"PaVeReduce", "[", "res", "]"}]], "Input", + CellLabel->"In[331]:="], + +Cell[BoxData[ + GraphicsBox[ + TagBox[RasterBox[CompressedData[" +1:eJzsvXlcFFfa/j153zh5RnmGIEh0IokaoiAOLh0nEBQEkSiSaNAk6uCGRqMs +cUViFBWjRBHRqBOj0RhR3KLRYQaU8GgkqCwqyiJERBbZhGZrll7oLn7dgCzd +tfep7urm/v4xn0xL33Wfc911zqlT1XUN9f3Ce9n/96c//Wnt/yj/x3vxBtc1 +axZ/OetV5f/5OHDtiuWBny2dFrjus+WfrXHw/f+VH/7x8p/+ZKP8e9V/twIA +AACAwaKoS4lY5uVkO3TMvEPZTZi+0+mAn1kBAAD0aiTF8RezRNoOyeKCU8fv +1StapQVHnd+afr0WSWodsM+Qy6zogImyLsYXS3R9WAAAAP6CNTyIXHOuRKZ9 +IHmzvG1maEoPdFqa2qB1wM7A2mTIWVa0kZWcXxP5oAGutAAAANqQFf244OuM +JoQRmzJ3f3YkH90Kn3GGWAvOGI86KyY0ZXy94Mci7Wd2AAAAI0CcG/bhtmyx +5j9InkR++klEHs6/kII1ZEX/kCiU4/2TpPTW2Y3j/vqy6bhlX24KCvDxdPkg +8PhDkYJlhjhHkJYlHV099Z2ZSXW0s8JHUXsrwm995I/HI9f57b1dS5Ei5bfE +2ds+CMtl2pcAAABGiCRvl/NM3Jseivr0S5fS62iOuO1g4qJrF28+Vy7sFY1F +eSKcYV78aNMIU+ugrGbV/2nO3G731zc+SxGxy1Dz8JLKkrK01daDPBK7zzvU +WamjEMb9c9S0nyuUfyovv/D+KJ+rQhr9QPat2usznHfnSem0AgAAwJhRVF6e +PPaLh2h22WQl0fNHDBthp2TkqImb2ucWNcS5W206553WhpR5fzMV/FDcgi5D +yR9fj3y9+7xDJys15KWnnF4f/+OztrRaio8KXp94poxyuiL9VtPDwLFTYqrg +Hg8AAL0dcfaX9uPCHqvd9ZBV/X7sc4+JH+3ac+SJxjCtqE+L9HlvmOn//K+F +5QDTV17pb/nmhPA8uvdNus87ivo7wTYD3vmadP8JJ0NFQ9bZjd4TXIIj1vl4 +jLEa6rAiurDz3zXmHRaI7nz8t4EfJNW3/7+636davj43hfKBBNJvSR7vHDcm +JAd22gAA6O2Ikj99a9yBAo073nU3P7J+d9/l7x5pbIFJn9++U9L47LT3khu1 +jQ/XT/kqk8YFRBeqecek/3ufB3+5aoHbkP7DP/0uu7HzIkBSGL1h43fnTkes +23Prxc0R3Ayx6qsTLYcG3KrHWltKz88aNMDtXHnHlQWKeacmwcX8b51zhnI+ +GWju9htlRNJvyQoOCN6er4+n6QAAAHhFfdL0NwXfF6nvczXeXWYzNuTyt/dq +cDeGWkpOeS9LrJMWHpnme6ue0QG7X+/I6+59+/5r/R23Z7btosnLz8+YtC9f +2orVXv/0vfUdW2v4Gdb9Nulv9vuett0vEd351GrIknuN7f+C5npn9qDXvF5c +udT/7vkavesdkm+1FB1+Z9hHt0nvZAEAAPQCRHdmDRN8V6h2vdOctcHObuWl +gzcrcW9qtBSf+GjlrXqF8OrHMy8/Z/Tggdr9ndbaGx79X3lrTYbq/9Zenz5y +9h3VyCzNj/iHIDRXQpxh93mn8f6y4aM6t7BQzDvykpMOf+u8U/Psx/GvO52m +cX+H7FuygoMCaxqTFwAAgJHTnLF61Dt783s+ZyV9Ej7Wxuf8d6fuJiVkqT/l +LK/5fYfn+FXKywtx9pejxwT/zuyJtx7Ps7U2Z26z7Ws2Kaq0pe22/Hsj2y9b +Wp4dd7DtuILBzbBt3vn7nieqT5Uj+oQJYX+8uMEj+WM73XlHWpESd/1xI07+ +8sqYT0dNb5tTFc8ve/19XmyVQstv5e0W2AfReagBAADAqJGXnXYWfPWo5+1u +cW7oxFHei2YFHstsUB9emx4E2tnOjS6VtT0r7P3mYK/4aroPaWGS0tvnvhL8 +9WUTu4XB27ZuDJzv8c6EOduvlrdfzNT83zRb77adKOnTfZ3XO7gZquadAQM9 +g77ZfzBy6xebLrx4rEBW9TBul3P/fm+vPZ+c30QxIUoeh73z178MD8b9aZC8 +JjF85fp9P57Yv8E/IqlGruW3lDPsurEu58qZXRwCAAAYIc1ZwRPnJ/PitoO8 +/NyHLpGqK5u6m/OcXtzfwc+w+z6bNocs+/eGs8VM3yPA5lv1SbPfC4bLHQAA +gNbWxnurPcPVH6TWE5KC6I3bjl86tz9YebHQeWmAl2HbvKOx+8aQlsobF/6v +jGkMVt+S5u2dvubFow8AAAC9m+bsnd7hufyYePBRz1Auyjgf+FY/C/c9sRn1 +9F99o0ek+d/N+SYbrnYAAADakFddC1rzaxWPbz3wP0NSFNU3N22MrzKIGRIA +AEAnKOrSjp94oLX/DofwP0NCsIbM0z/dZfbUHwAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAAAAAKALMNHDoyEBi6aPF8w7XgSW3LzHiPVS1KVELPNy +sh06Zt6h7CZD/PmEMatjJEiK4y9m6fW3OQqDrGzEKES5t0rEra2yp99OnHKx +gs8/OAK9WvWtF6cSiAtOHb9Xr2iVFhx1fmv69VoOD8UVBnQ29UqwhgeRa86V +MH03p9a0FJ+Y5ft7XWtrY3qg84LbzNzrNJFVJu6e5rTlkVhlXuQ886rQYEdG +WUnM5j23a/l2ooBeBOhOLzIJ0PYnJm+WtwVoSg90WmrILr08PZt6PbKiHxd8 +ndHE9WGwFrXzABPGzfI8UyZX+cQ5uF9gsx5Rj1mX6ONx8Km4IsY3NBXF1ZtG +zjpAVnn72Bcew6ymHS7U69YA6EUPXepFJYF2/Ynbe02Zuz87ko/k3ZHGrg7A +BHFu2Ifb8KxsMHFxwn53iz4mI+dv2LI5OHDxTLepi3fGFIoZVg8mLUs6unrq +OzOTejrBNd5d6aEyi5OXRk1yCGP2Pm6CmOKcnV4hyWknT2QQnXXS0utRv+Q0 +UjWBKGc2YM15UYFuwweYmA2d4PfT4+b2Yyvq0y9G36pStzd/kebT/ROcO3xT +ER6U3ldBL93rRQ8qCaj7ExfC3sMasqJ/SBQSvtYQ1AFYIsnb5TyTYPtWUXnZ +zdxiamzHFbu8MmbpmyZvLLwmZLLUxSSVJWVpq60HqTmQKpdsjlOUoaX537uO +nJ+ibqrKKqY4e5urz+bTTwheO91ScWXVgqM0Fm9E8dnQ/GjvF4eSn0tl1XcP +fTjQdPTuvBcLr+bsfT5fJlTjndWKil8+8UuqZ70+JD4oJaCXHvSiB6UEFP1J +AEHvYeKiaxdvPpcpW9dYlCfSaDaoA7BGObVMHvvFQ9xdNqw63svSfNLPXZfz +ksdhdn3NPRJqGB5FecKoO1/Ly8642ri4+azaFh45QzBjz5UCJmty/JitojS/ +z08R2cEphHE+Dn4pdA328OKzQFZxI6G849xoeuA/7PUPkjp35bGa6z7vrrjV +dULInv306eRPNh4+e+H02bu17N+eTXZQOoBebehML3pQS0Dan6Ro9J6sJHr+ +iGEj7JSMHDVxk4ZfonGpI38eszwglRfem70DcfaX9uMINk3qEj8ZZOZ4sqRL +MVnBgdH9zFzjqzX/WNGQdXaj9wSX4Ih1Ph5jrIY6rIgu7IyqWXWY8OrsyYcK +yE8RhjHJUZ61LjZz73SvLaTxyaO10ZC22NbxcFFXo7GaX6fbeF2jbVPOBo2D +0sgW9GpDH3pJn/03MvzoqUPLh/f982se/ttPFrzYAqclAQmgDklzSk5O8TLI +h/YMFFHyp2+NO4BbzKLkhYNfFfQQVhjnaWFiH4FvMopVX51oOTRAteBoKT0/ +a9AAt3PlHVOWRtWpziHHoEzK/QAmMSloSJljPe7bpz1byjZ+S31ppUSjvkmi +qf61NnHl5LVJdd2/Js7ZbG+3JoM7Ozq8g1JnC3q16kUvTJS6/h8uR5SnnCR3 +q+1r750r79pKoysBWXhQhwCYd3RMfdL0NwXfF+HccmtMXznE9O97nnTNMfKy +s+4W/V2OE92ga3O+3ve07QuiO59aDVnywlaa/VU2upi1v7lajY8qVbvcZhVf +VnRYYDro4zsa1+XE0VoVdbfDVh/LVdsZkebvHWs9L4X+U6otZRd833dRw9P/ +Ft7EQnRQ6mxBL73opaj6z1Sr0W2nXEOar93EH4oR3woHdXrSpY6jjZn5aCfy +swlAh+jOrGGC7wo1r3eas4KsTW22dnlby6tifYdYOkfkEC4nutdJ4/1lw0eF +5HTsEaAZx7SLKbrtPUzwL/WWsosvr02Pv1moOZwTRcOa86J3HXuo+ZCRJDfU +3tb/AScPsRMelCpb0EsveimHwWfHxg8UKGcbRdXVFbPD0htQD3+gDgFwvaNj +mjNWj3pnr+bGmTgnxMbUel3HZb2iISvKz8HWa2cS2e05VZ10XCDJCg5OmKB6 +4rMdyR/btRjH0MSU5kcI7ALUixJtzvjRpM/+HXkktd3uVFGXdTmurLO7Rclz +RzhFl3FwR5rkoOTZqgC9dK5X28Eass9uXLnuwLkrl6/nc/FqGlCHAJh3dIy8 +7LSz4KtHPX6+I61IvhQ2zbLPK4Nnr98WGhoS5L9kUcDuS5n1FIIq62TAQM+g +b/YfjNz6xaYLL24Dyqoexu1y7t/v7bXnk/ObGP7aEGFMyeMdDk7qN9jR5owT +TXmZuGLEX176Uwcv9bUP79q6lPyxw2Ey8t0UioOSZasC9NK5Xm0ohFcX2VqZ +93v5JSUvvzpu7X3kLwkAdQiAeUfXNGcFT5yfjOQJwu7XxahAGVNRm7jho109 +nwhFmzOzaJgo9Svv7feR76bQBfTikV6y8rhvtl8sah+psZaatH3BycjHQVAH +4AuN91Z7hjP79TkBbXWCs2fHo5iS4ph9R25UdK3S0MZnEk1SHHtwf3y5zt+K +1wXoxRu95BUX37d2v1zZfi2gaMhLuPJrKZKX0/QA1AF4Q3P2Tu/wXG2LXC7K +OB/4Vj8L9z2xGVQbcvqM2YpJhdVSjIP4zKIpxM9rpXpcm4FefNILa8wMn2k7 +0GqMx5zlwbuOXLpXjX4vD9QBeIW86lrQml+r4IWtAAAAgI5Q1KUdP/FAr/47 +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgH5Q1KVELPNysh06 +Zt6hbC7ezcg9RtAELjCCbjGCJvAHI+hMI2iCUaDQuuvFBaeO36tXtEoLjjq/ +Nd0g3xTIkyZorwVaeNIt2mDQTYB6QI4RNEE3yCoTd09z2vJI3NqctcF55lWh +9rXYUnxilu/vdSqfukDnBbfrqb9BCiZvlrcl1ZQe6LQ0FfkbgXWA/pqAWAu0 +1QLK6hyoB24xgiZwBtbSszrqEn08Dj4VV8T4hqYieEECJoyb5XmmTK4ylnJw +v1DB4mU/6hm20ZS5+7Mj+UjezIgbXwcgbAIuGu1CoIU62lULKKtLuKgHjkcP +FVAPxgUmLUs6unrqOzOTepg9iXN2eoUkp508kcGgbrDmvKhAt+EDTMyGTvD7 +6XE3a8LGuys9VH5Q8tKoSQ5hzF6rTZCh8h8asqJ/SBQSvo1QWno96pecRqr8 +CeOzAL8HFPXpF6NvVeG8Q5KqCVrlQtAu9loQ6suqWkBZmkcWFyfsd7foYzJy +/oYtm4MDF890m7p4Z0yhmOHoib4edDV6QD0YHZiksqQsbbX1IDWTQXH2Nlef +zaefELpl49D8aO8Xh5KfS2XVdw99ONB09O68F+9GV66kHKfECjFp/veuI+en +iJgsqQgyxMRF1y7efC5Tat1YlCfS0LOl4sqqBUdprC6IeoANxD3QnL3P58uE +6h5pUjVBO4jaxV4L4taxqRZQljaKystu5hZTYzt2rOSVMUvfNHlj4TUhgvOI +i3MT7egB9WCk4Jmqi9L8Pj9VzMgnQ1ZxI6G8o/ebHvgPe/2DpI6tYnnZGVcb +FzefVdvCI2cIZuy5UqDp0s4sQ1lJ9PwRw0bYKRk5auKmLPUCVwjjfBz8Uuj6 +5DG1rSeAuAeUpVdz3efdFbfqOxtO1YRuyJ/HLA9IZWH6h9Mu9lqQtI5FtRBl +CMpqgFXHe1maT/q5awdM8jjMrq+5R0INw2YgrQfimChHj95VD8aGoiHr7Ebv +CS7BEet8PMZYDXVYEV3YuUBgrAVptDYa0hbbOr6w18WEV2dPPlRAXoZIM1Se +TC42c+90L0a99oAKrObX6TZe16pZ7C2T2fsybJf2WuC3jm00UJbauLku8ZNB +Zo4nS7qWybKCA6P7mbnGVzPMn4t60EUPE2Nk9WB8YNVXJ1oODVBNwy2l52cN +GuB2rryjkFmsAUiiqf61NnHl5LVJde0dryptx6BMylkeYYYNKXOsx337tGfh +so3fUl9aKdGoISY90I44Z7O93ZoMFqsd8tGJSbsQaEHQOpbRQFnKeUeUvHDw +q4IeA5swztPCxD4C3+NTx/XA8ehBgZHVgxHS3QZddOdTqyFL7jW2/wuba0/i +aK2Kutthq4/lMrxcR5ph7W+uVuOjStX2UVnFlxUdFpgO+viOxoU84x6Q5u8d +az0vhf5jlC1lF3zfd1HhaGNmPtqp7T89/W+pn5FolWXZOpbRQFkyZVU0pq8c +Yvr3PU+65hh52Vl3i/4ux58RmJ3qth70O3oYWz10g6AeDI3uvdd4f9nwUSE5 +4vZ/0bZyukfDmvOidx17yOrhSXQZim57DxP8q1DtQp1dfHltevzNQs3zgHEP +SHJD7W39HzTRbUS3FMhXxWiVJY/JTl9QlgDq653mrCBrU5utXQb38qpY3yGW +zhE5hMtpXdaDvkcPI6sHI0TVex3LJlnBwQkTVI9OtiP5YzurytGMJn3278gj +qXVt9z8VdVmX48pwdwI4z1CaHyGwC1AXXs89IEqeO8IpuozFwyw05h107SKL +yVZfUJYAynlHnBNiY2q9rmMnTNGQFeXnYOu1M6mW5GC6qwe2MdFVl5HVgxGi +7L0BAz2Dvtl/MHLrF5suvLg5Jqt6GLfLuX+/t9eeT85vov0QJU405UJsxYi/ +vPSnDl7qax/+hMm0gzJDyeMdDk7qdyb12wOSP3Y4TP6hmGBvhBTqeQdhu9i1 +jnE0thn2ImWlFcmXwqZZ9nll8Oz120JDQ4L8lywK2H0ps55iQNNRPWgRE2F1 +GVc9GCHdrxb5Fg19TEVt4oaPdvV8ZFGfPYCJUr/y3n6/gYsNW75rAcrqFqgH +qAf+0NZ7e/EfgdF3NE5iSopj9h25UdG1EtJfD0iKYw/ujy9n8wMXxJnoJyYo +q0ugHqAeeIJclHE+8K1+Fu57YjOoLtN1HY27mK2YVFgtxTiIzyyaQvy8VsrR ++of/WoCyugTqAeoBAAAAAAAAAAAAAAAAAAAAAAAAAADaGIGtuRE0gQi0TTOC +jjKCJgCAzgFnduTotwmcCoq2aaA1APQawJmdW3TeBDJB+awOaA0ARgo4sxu7 +MzuVoNqpg9t7aJsGWgMAryCxL6f8Kjiz9w5ndipBWalD0nssmgZaA4DhQGwI +Tgk4s/cSZ3ZKQdmoQ9h7rJoGWgOA4UBmCE4HcGbnuTO7/HnM8oBUuo3BD0Ep +KAt1OtDoPXam86A1ABgoBPbl4Myu92y1cGan45isQvrsv5HhR08dWj68759f +8/DffrJA/OLgdAQlQe+9R4yRaQ0ABgeJfTk4sxuuMzuteQcTpa7/h8sR5egn +yd1q+9p758q7ttLoCkoWHrTWidYAYGCQ25eDM7vhOrM72piZj3YidWZXVP1n +qtXoNufEhjRfu4nIvalAa91o3Q0irQGAL1Dal4Mzu8E6s9O53ml5dmz8QIFy +tlFUXV0xOywduTcVaK0TrQHAcKBhXw7O7AbrzE5n3lE0ZJ/duHLdgXNXLl/P +5+JNLKC1TrQGAAOBnn05OLMbrDM79byjEF5dZGtl3u/ll5S8/Oq4tfeR/yYe +tNaJ1gBgVIAzu9E6s8vK477ZfrGofWzFWmrS9gUnI38HGGjNC60BwKAAZ3Yj +dWaXV1x839r9cmX76l3RkJdw5ddS9O9iAa15oDUAGBLgzG68zuxYY2b4TNuB +VmM85iwP3nXk0r1q9Ps7oDU/tAYAAAAAAAAAAAAAAAAAAAAAAAAAAABYQ2Rh +D9b2hg4oCwBAGwqenedEFvZgbc8UUBYAAN7QUnxilu/vda2tjemBzgtuM/L4 +wUFWmbh7mtOWR+LW5qwNzjOvCrUa74gs7MHangagLAAAvAQTxs3yPFMmV71Z +0cH9QgXDd+rgUZfo43Hwqbgixjc0lZG7cntCLThfIbKwR2htj3tcQwaUJTsu +AADEYOLihP3uFn1MRs7fsGVzcODimW5TF++MKRQzOpeIPe4b7670UL0QUV4a +Nckh7DGDE50wpjhnp1dIctrJExmMxiZMWpZ0dPXUd2Ymqb3dkcjCnsraXlp6 +PeqXnEaqHAiPywL8PlHUp1+MvlXFyYu9QFkWx2WB7pUFAH2iqLzsZm4xNbZj +X0NeGbP0TZM3Fl4T0l/AErvGK9fCjlOUoaX537uOnJ8iQhFTnL3N1Wfz6SfM +/LEwSWVJWdpq60E93ypMZGFPZW3fUnFl1YKjNBbMBMdlBXGfNGfv8/kyoRr5 +q4xBWcbHZYXulQUAfYJVx3tZmk/6uWufRPI4zK6vuUdCDd0QxK7x8rIzrjYu +bj6rtoVHzhDM2HOlgK4xF4kTvSjN7/NTxWxeZaXhokJkYU9lba8Qxvk4+KVo +WH3RPS47SPqkFau57vPuCpW5JTHy5zHLA1LpJk1+RFAW/7js0L2yAKBX6hI/ +GWTmeLKka0ElKzgwup+Za3y15h8zdI1XOSVPPlRAPpCwcKJnGw3RKKEadF1s +5vZwmER7XBZ9gtX8Ot3G61o1yfBE5owAyrZhhMoCAP8QJS8c/KqgR5kL4zwt +TOwj8F+ky8Q1XjU4OQZlUu6aMHeiZxkN1ejUkDLHety3T3sOl2yP21JfWinR +aBzzPhHnbLa3W5NB0tvkoxMo22qkygIAz2hMXznEtMMUsR152Vl3i/4ux58R +3MxE53HPVUziaKhGp9rfXK3GR5Wq7bmzOq6s6LDAdNDHdzT2SBj3iTR/71jr +eSmaTwa3lF3wfd9FhaONmflop7b/9PS/pT7eg7LGqiwA8IrmrCBrU5utuZ1X ++vKqWN8hls4ROYSLK3Qe91zFJIqGbnQS3fYeJvhXodr2ELvjymvT428Wao6+ +jPtEkhtqb+uvbt3c41Dkq2JQ1liVBQA+Ic4JsTG1XtexX6JoyIryc7D12plU +S/L0DDqPe65i4kdTIfljO5LRSZofIbALUB8I0B6XcZ+IkueOcIouI5GOxrwD +yhqjsgDAF6QVyZfCpln2eWXw7PXbQkNDgvyXLArYfSmTyqQKocc9RzFxoqmQ +VT2M2+Xcv9/ba88n5zdp9ytHyeMdDk7q98PRHpdpn0j+2OEw+Ydisp96UM87 +oKxRKgsAhg5aD3ouYnKRoTqK2sQNH+3q+RSuPluBiVK/8t5+v0GbjX1QVoUx +KgsAhg5ij3sOYnKRIQ6S4ph9R25UdK2M9dcKSXHswf3x5Wx++MLyiPqJCcoC +QC+EC497ffraawkmFVZLMQ6OyyyaQvy8VqrlehiU7YERKQsAAAAAAAAAAAAA +AAAAAAAAAAAAAGBEKOpSIpZ5OdkOHTPvUHYTRvk52qMAAFQaAPAPBZcnj7jg +1PF79YpWacFR57emd/0MjuhztEcBdA+n5cQCqDQA4ActxSdm+f5ep3qHaKDz +gtv13f9NVpm4e5rTlkfi1uasDc4zrwq1GkcwebO8LUBTeqDT0tQGqs/RHgXQ +CWTlxALdVCAfogFALwITxs3yPFMmV70C0cH9QoX660DqEn08Dj4VV8T4hqYy +f3Ukrjd9U+buz47gGD4Sfc4OhNFwWwG04vQMVTmxiKnDCmQHVBoAMKTx7koP +1ZsL5aVRkxzCHmucPeKcnV4hyWknT2QwOucJvemxhqzoHxKFGj+pI/qc7Bi4 +nvW0oklLr0f9ktNI1SLCVrAAP1tFffrF6FtVZC/nYh8c7w/FxQn73S36mIyc +v2HL5uDAxTPdpi7eGVMoZjjeEfUMVTmxiKmrCiSLBZUGAAhRLksdp8QKMWn+ +964j56eINNan4uxtrj6bTz+h9ADrAYE3PSYuunbx5nOZ8ixoLMoTyak+J4XQ +s54qWkvFlVULjtJYoBK0ghWE2bY2Z+/z+TKhWpufyhMH10RRednN3GJqbMeO +lbwyZumbJm8svCZkcmlC1DOU5cQipk4qkBSoNABAibzsjKuNi5vPqm3hkTME +M/ZcKVBfKovS/D4/VczmBVIa3iWykuj5I4aNsFMyctTETZ3vZiT6nBwiz3qq +aAphnI+DXwpds3pEzi9E2arAaq77vLtCZVDJQXB1sOp4L0vzST937YBJHofZ +9TX3SKhheFScnqEuJ+YxdVGB5PSuSpM/j1kekEo3aQAgQvrsv5HhR08dWj68 +759f8/DffrKgw9Wqzc948qEC1q8lROtNz+oobWh41hOjHBpdbOb2cIlE2woW +2WI1v0638bpWjWJvn6or6hI/GWTmeLKka9ErKzgwup+Za3w1w7Zo9gytctJh +b+tCO2IMtNLAcwFAACZKXf8PlyPK2pPkbrV97b1z5V17H6pxwjEok9kGhlp4 +lt70yI7Siu9ZT0hDyhzrcd8+7TlwsG1FS31ppUTjsMyzFedstrdbk6GNEMTB +eyBKXjj4VUGPoUgY52lhYh+B/wJlJj1Dt5zQ1ozOorX2jkqDeQfQHkXVf6Za +jW5zP2xI87WbSO4vxQJW3vQIj0LgWU9I7W+uVuOjStX2uFm1QlZ0WGA66OM7 +GnsSjLOV5u8daz0vRfNJ3JayC77vu6jh6X8Lf+Sj7orG9JVDTDvMMNuRl511 +t+jvcvwZQV1woS/amLqK1lsqzdHGzHy0E3mlAQApLc+OjR8oUM42iqqrK2aH +pSP3l2LnTY/qKISe9YSIbnsPE/yrUG2jhF0r5LXp8TcLNcchxtlKckPtbf3V +7ZeZQacrmrOCrE1ttuZ27sbIq2J9h1g6R+QQLoC50BdtTN1E6zWVBtc7gPYo +GrLPbly57sC5K5ev53PxKg+03vTMjkLiWU+IND9CYBegfuKhbQXjbEXJc0c4 +RZdp8aARra4Q54TYmFqv69gJUzRkRfk52HrtTKolOTAX+uqit9FG60WVBvMO +oC0K4dVFtlbm/V5+ScnLr45bex/5j6rRetMzOAqpZz0Jksc7HJzU7wyjbQXT +bCV/7HCYrMUOKJ2ukFYkXwqbZtnnlcGz128LDQ0J8l+yKGD3pUwqczIu9OW8 +t9FG612VBvMOoB2y8rhvtl8saq9srKUmbV9wMvJ6QutNr4ujKGoTN3y0q+dT +r2hbwSwaJkr9ynv7feQ7oGjgQl999rYuo0GlAb0OecXF963dL1e2r50UDXkJ +V34tRfVqkC7QetPr6CiS4ph9R25UdK1E0cZnEk1SHHtwf3w560fZuYYLffXX +27qOBpUG9DKwxszwmbYDrcZ4zFkevOvIpXvV6F+RgdabXqdHwaTC6g5re7Tx +mUVTiJ/XSnm7/uSi5/XZ27qN1gFUGgAAAAAAAAAAAAAAAAAAAAAAAAAAAC9A +a3aPNhpgKEAVAQCPUfDsLEJrdo82GqAbtK9JqCIA4BktxSdm+f5ep3q7ZKDz +gtuEFi80kVUm7p7mtOWRuLU5a4PzzKtCrUYNtGb3aKMB7aBVvA3ENQlVBAB6 +RcPqHRPGzfI8UyZXvcDQwf1CBYuX36jHrEv08Tj4VFwR4xuaysjEGD9DFQjN +7tFGw83W6EGruGZ49DXZBlQRALBE/PTshvnTJ44cbDV+6aki2r+QJrJ6b7y7 +0kP13kF5adQkh7DHjE4jgpjinJ1eIclpJ09kMBqDCM3oqczu8WLhmtHTiiYt +vR71S04jVeaE2bIAP1tFffrF6FtVSH4XjImLE/a7W/QxGTl/w5bNwYGLZ7pN +XbwzplDMcLxDqTixRhzUJFQRALBHUnT2wNUSqcq49t9z3hjWZcxBAZHVu3JF +6TglVohJ8793HTk/RcRkaUkUU5y9zdVn8+knzAzPCKJRmd3jQmhGTxWtpeLK +qgVHaSxiidrOBsJsW5uz9/l8mVCN4jf2isrLbuYWU2M7dsHklTFL3zR5Y+E1 +ob4UJ241BzUJVYSmioBeikLW1HFNLskNfXfyd+pGIGTgWIHIy8642ri4+aza +Fh45QzBjz5UCuv5XxDFbRWl+n58qZvPGKI1oVGb3+BCZ0VNFUwjjfBz8Uui6 +0COyIiLKVgVWc93n3RUq50ktwarjvSzNJ/3ctWcleRxm19fcI6GGYSREihO3 +Gn1NQhVRV5H8eczygFS6SQO9E0X93YP/9N6XK1b/nJnVu8rDePKhAvIBQ4f2 +8bowoydGOeC52MztYf+o92yxml+n23hdq9Z24qlL/GSQmePJkq5Fr6zgwOh+ +Zq7x1Qzz5LrVfKtJzQzJMdAqAqMEgAJ53f1zO5ZPHfG/fYcujq1Su3xmYvWu +OsUdgzIpl386M7tHG60V34yekIaUOdbjvn3ac3Bhm21LfWmlROOwzLMV52y2 +t1uTwWzPUgNR8sLBrwp6DEXCOE8LE/sI/Lce608j3tWkRoYUGGgVwbwD0AIT +pax/+zWXmCq1skRrTM9FTF1FIzCjJ6T2N1er8VGlahM5q2xlRYcFpoM+vqOx +b8E4W2n+3rHW81I0n9ZtKbvg+76LGp7+t/BGx8b0lUNMOxws25GXnXW36O9y +/BnBDWe+asT/DA21ihxtzMxHO5FVEQCoaLy7xH7Kf9V/LoHWmJ6LmLqJRmhG +T4jotvcwwb/U75ixy1Zemx5/s1BzrGKcrSQ31N7WX91XmRnNWUHWpjZbczt3 +Y+RVsb5DLJ0jcggXwHzViP8ZGmgVwfUOQAImLi+sajfckD49PONzjX02xFbv +XMTUsxk9IdL8CIFdgPrJqedsRclzRzhFl2nzMJI4J8TG1Hpdx96VoiErys/B +1mtnUi1JUL5qxP8MDbSKYN4BiMFqf18+5m8jpgaEHz996uS1ApzfX6C1euci +pn7N6EmQPN7h4KR+91i/2Ur+2OEw+Ydi1j+/kFYkXwqbZtnnlcGz128LDQ0J +8l+yKGD3pUwqRzHeasT/DA2zimDeAbQCrdU7FzH5G01Rm7jho109n4zVZ7aY +KPUr7+33G3S/2c5fjbiJCVUEANqA2Eqeg5h8jtYqKY7Zd+RGRddqVX/ZSopj +D+6PL2fzQyit4bVGHMSEKgIA1nBhJc9ns3su2tuKSYXVHZ71+sxWIX5eK9XL +GpX/GvE/Q6giAAAAAAAAAAAAAAAAAAAAAAAAAAAAFIDxPaA9UEUA0GsA4/ve +ifa6owWqCAD4AxjfA4hArDvayoQqAgC9Asb3aKP1TuN7jVYj0F0d7SoTqggA +eAAY39OMZpTG95i4OGG/u0Ufk5HzN2zZHBy4eKbb1MU7YwpxXt9HHoeg1ex1 +J1SKVWVCFXFZRQDAEDC+pxXNeI3vFZWX3cwtpsZ27FjJK2OWvmnyxsJrQgQa +aaE7cdvZVCZUEcdVBACMAeN7ozS+pwVWHe9laT7p564dMMnjMLu+5h4JNQwj +4bSave4kbWdRmUQZQhVRV5H8eczygFS6SQNAd8D4vvcZ39OiLvGTQWaOJ0u6 +Fr2yggOj+5m5xlczzFOz1drr3gYDpfSvCzEGWkVgcwBoAxjf9zbjezqIkhcO +flXQYygSxnlamNhH4L+zmEmrEejeylAphhlqFY1pbgZaRTDvAFrBV1t5/mdo +qMb33SAwvm9MXznEtMN/sh152Vl3i/4ux58R3HBGqxFVTDa1BFWEtoocbczM +RzuRVREAEMNXW3n+Z2igxvfUNGcFWZvabM3t3I2RV8X6DrF0jsghXACj1Yg8 +JrtagipCWkVwvQNoBV9t5fmfoYEa31MizgmxMbVe17ETpmjIivJzsPXamVRL +EhRtq8lisq0lqCKkVQTzDqAVvLWV53+Ghml8T4q0IvlS2DTLPq8Mnr1+W2ho +SJD/kkUBuy9lUvmBoW01YUwtagmqCGkVwbwDaAV/beW5iQnG91zQu3SHKgIA +7eC1rTwHMcH4ngt6m+5QRQDAGv7byvM/QzC+7226QxUBAAAAAAAAAAAAAAAA +AAAAAAAAAAAYLGi97NFGA9hBpIJutIYawAU6H9AfCp6VAlove7TRjBhOy4BI +Bd1ozZMa6J0nGk86H+ABLcUnZvn+Xqd6eWSg84Lb9dTfIEVWmbh7mtOWR+LW +5qwNzjOvCrU6wdB62aONZlyQlYFuNNWN1vqrATjR4ATstWg4uWPCuFmeZ8rk +qvcTOrhfqGD47hM86hJ9PA4+FVfE+IamMn9xKK7XPEIve7TRcLM1QKjKQIea +6kZrtEfRhIsTTT2mwZ5oXHc+wBuInNwb7670UL1WUF4aNckh7DGDWiB0nxfn +7PQKSU47eSKD0clA6DVP5WXPJDfqaNLS61G/5DRSZU6YLQvws1XUp1+MvlXF ++tVsjKAqA11pqhutWRyFfjrITzTCmIZ5onHZ+QDPIHJyVy6+HKfECjFp/veu +I+eniOivwoj93MXZ21x9Np9+wsyrjCBDKi97ZrlRRWupuLJqwVEaKzGi/mQD +cU82Z+/z+TKhmvtTlLIMdKKpbrRmdRTaoD/RiGMa4InGbecDfATH6UNedsbV +xsXNZ9W28MgZghl7rhTQtbci8XMXpfl9fqqYzQuhNDKk8rJnlhtVNIUwzsfB +L4WuyTx7Jxpa2arAaq77vLtCZSzJKdRloANNdaM1g6PIn8csD0ilWw3dQHqi +Ecc0vBNNF50P6AGGTu4qi+LJhwrIKxep+7z+veaJUY4NLjZze7g76j1brObX +6TZe16oRTDzSZ/+NDD966tDy4X3//JqH//aTBeIXB6FTBiSg7SVWR2mDSR3S +gMwaQOcnGtpi0++JRgfwZTAsmDi5q84Gx6BMyrUNQvd5hhlqFY1pbg0pc6zH +ffu055nDNtuW+tJKicZhmWcrztlsb7cmg9lWiiaYKHX9P1yOKIcFSe5W29fe +O1fetdFDtwzIwiPVlMVRWpnXISXkQ5+OTzS0p4Z+TzQ6wLxjYKD1naeKydR9 +Hn2G6HKr/c3VanxUqdqeM6tsZUWHBaaDPr6jsU/AOFtp/t6x1vNSNB85bSm7 +4Pu+ixqe/rdwT31F1X+mWo1uc6hsSPO1m6iFkxw+XFQdk6OwqUMCujrW0cbM +fLQTUcfq9kRDe2ro90QjgW7nA3wDre88eUzm7vPoM0SXm+i29zDBvwrVdgrY +ZSuvTY+/Wah5IjLOVpIbam/rr26bzJSWZ8fGDxQoZxtF1dUVs8PSkXuAcVF1 +9I/Crg6poFhy6/JEQ3tq6PtEowNc7xgYaJ3cyWKycZ9HnyG63KT5EQK7APUh +Xs/ZipLnjnCKLtPywR9FQ/bZjSvXHTh35fL1fC7eT8JF1dE9Cts6pILGvKOb +E41tTL6eaHSAecfAQOvkThiTrfs88gwR5iZ5vMPBSf3WqH6zlfyxw2Gytrti +CuHVRbZW5v1efknJy6+OW3sf+S/Fuag6WkfRog6poJ53dHGiaRGTtycaDWDe +MTDQOrlzEZO/0RS1iRs+2tXz8U59ZouJUr/y3n5fu10xWXncN9svFrUPOlhL +Tdq+4GTk5zMXVaevo9AETjQA6ASxUzwHMfkcrVVSHLPvyI2Krmse/WUrKY49 +uD++XLsnU+UVF9+3dr9c2b6sVTTkJVz5tRT9G0q4qDp9HYUmcKIBQDtcOMXz +2cuei/a2YlJhdYclvT6zVYif10q1vhWDNWaGz7QdaDXGY87y4F1HLt2rRv/i +HU5U0NNR9JgMn08NXnU+AAAAAAAAAAAAAAAAAAAAAAAAAACA1ujG3h3M4lkD +AhkcIBlg1GhvPa8be/deaxYPAukA7TsZLSAZoF/QGru3gdh6Xjf27rw1iweB +uIjGPYg7GW0ZgGSAzkFr7K4ZHr31fBu6sXfng1k8CEQCHwTSRKNDEHSyOtqV +AUgGMAQTFyfsd7foYzJy/oYtm4MDF890m7p4Z0yhmGHxoTR2J7Zi58B6Hqm9 +OwsTeUaQxKf8KghEmjkagdojcXtOadHJhM1nVQZGJBmgcxSVl93MLabGdlxd +yytjlr5p8sbCa0J9GbsTWrFzYT2P1N6dsYk8Q4h7hhIQiDRzRAK9gNNzin0n +EwvHpgyMSzJAt2DV8V6W5pN+7rpalzwOs+tr7pFQwzASImN3Iit2LqznEdi7 +08icXTT68ekCAmkvkPx5zPKAVA2Xvp5wek6x72SS+mFRBkQZ8k4ygI/UJX4y +yMzxZEnXekFWcGB0PzPX+GrNP9arFbserOcRZc4BBPFBIFaZ04fWW/e5PKe0 +7+Q2mDTfwCUDeIgoeeHgVwXdxcSEcZ4WJvYR+O+T1Z8Vu36s51Fkjh6S+CAQ +88wZQGfe4fKcQtDJrcybb9CSAfyjMX3lENMOb8B25GVn3S36uxx/RvA2Yv5b +sXNhZ89x5l1m8d0gNIsnjw8CcZB5l0CONmbmo53IBNL3OUUVk41wBi0ZnXMK +0CXNWUHWpjZbczuvZ+VVsb5DLJ0jcggXVPy3YufCzl43mdOBMj4IxF3mdK53 +9H5Okcdk13xDlgzgG+KcEBtT63UdV+2KhqwoPwdbr51JtSQPh/Dfip0LO3vd +ZE4NjfggEHeZ05h39H9OkcVk23xDlgzgE9KK5Eth0yz7vDJ49vptoaEhQf5L +FgXsvpRJ5dXEfyt2LuzsdZM5BfTig0DcZU4x7/DjnCKMqUXzDVkywBjgvxW7 +buzdeWsiDwLp8ihI4H8ng2SAfuG/Fbtu7N15ayIPAunyKEjgfyeDZIAe4b8V +u27s3XlrIg8C6fIoSOB/J4NkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMAB +irqUiGVeTrZDx8w7lN2EUX6O9igAC0AyPQKdDxggCp7VkLjg1PF79YpWacFR +57emd/3onOhztEcxCEAyPUoGnf8iGibKuhhf3N0FQfMTXGSFxxaEghlPr6Ol ++MQs39/rVC/lDXRecJuRLRkOssrE3dOctjwStzZnbXCeeVWo1ZmJyZvlbQGa +0gOdlqY2UH2O9ih8BSTTo2TQ+QTRZCXn10Q+aOiWv+YnmsgKf5gRkML7Uw7Q +DqxFrQowYdwszzNlctVbah3cL1Ro/cYmlYeWj8fBp+KKGN/QVOYvpNXIUEVT +5u7PjuRrrp2IPmcH2micAZJxFY0G0PnE0Zoyvl7wYw+TN81P1Ggp/mnmCq0n +b4BbsOa8qEC34QNMzIZO8PvpMRM7DkxalnR09dR3Zib1fA9t492VHqqXyMpL +oyY5hD1mUJKEyYhzdnqFJKedPJHB6CwiyrAVa8iK/iFRqPGDaKLP2eTMKhrR +QcTFCfvdLfqYjJy/Ycvm4MDFM92mLt4ZUyhmNKYQpwqSsY+m9UGh80miibO3 +fRCWKyb9pAfykmjvz35H8mZsgDOaH+394lDyc6ms+u6hDweajt6dR/u9SJik +sqQsbbX1ILX3nytXbY5TYoWYNP9715HzU0T0l2/EyShrzdVn8+knzPZsCTLE +xEXXLt58rlwyKRqL8kRyqs/Z5cwqGjGKystu5hZTYzs2TeSVMUvfNHlj4TUh +iu4FydhHowl0PkXORNFqr89w7jkqaX7SDXnZ+VmLb9Ty7CYZ0BNZxY2E8g4F +mx74D3v9gyRGF6g4fk/ysjOuNi5uPqu2hUfOEMzYc6WA7jUUSTKiNL/PTxWz +8VTXyFBWEj1/xLARdkpGjpq4qfP2I9Hn7HJmEE3+PGZ5QKqI/DhYdbyXpfmk +n7s2YSSPw+z6mnsk1NDKkyRVkIyxZMyBzifPmTha08PAsVNiqrr1ieYnXSgq +fvl4QUI1TDuGQ0PaYlvHwxo7p4qGrLMbvSe4BEes8/EYYzXUYUV0YedWgOa8 +o7J+n3yogLzkSWOSJcM8GjInRLQ5d4PavLJVtWH/ySAzx5MlXYtKWcGB0f3M +XOOrtU4VJGMzQCM6KHQ+Rc6SxzvHjek0NsX/pOuglTFz/qnlgxSALsFqE1dO +XpuE5zuOVV+daDk04FY91tpSen7WoAFu58o7xj+NKlWdRo5BmZSLH5KY5Mkw +jYbQgRdtzp3QmXdEyQsHvyrofo5iwjhPCxP7CPz3xTNJFSRDPExB56PMWbm+ +Erw9v/vzcpqfdMasivvn3JhKBA9mADpBUXc7bPWxXIIr/O5OTKI7n1oNWXKv +sf1f0Di/94xJkYzOMuQ455ayC77vu6hwtDEzH+3U9p+e/rfwTsTG9JVDTDu8 +f9uRl511t+jvcvxZiw5S5SSmQUvWDRzJoPMR5txSdPidYR/dFpF90gFW/euC +T35B8TwgoAOw5rzoXcceEj/50r1+Gu8vGz6q8yIXzbzTPSZlMjrLkOucX0B9 +vdOcFWRtarM1t3ObQl4V6zvE0jkih3CdzEWqIJkeD9prO19WcFBgPTelgeyT +drCa64tnXygH1x6DQPrs35FHUuvaFgmKuqzLcWUaOzeq+ulYbSs1nzBB9dBn +O5I/tmsx72jGpJEMg2jaZch1zi+gnHfEOSE2ptbrOjZjFA1ZUX4Otl47k2pJ +zjAuUgXJ9HjQXtv50rzdAvug7o8taH7ScbjEpd7RpTDtGADKhfOKEX956U8d +vNTXPvyJZhUo62fAQM+gb/YfjNz6xaYLL24Pyqoexu1y7t/v7bXnk/ObGF7d +4sSklwzdaFpnyHXOLyCdd6QVyZfCpln2eWXw7PXbQkNDgvyXLArYfSmTyouR +i1RBMj0etNd2fnPmurEu58oVZJ+0UX/7849OEu07AwZI9+tlfsbkIkN9HQUJ +IJkuj6KDg/bazq9Pmv1ecI+LG81PVIhS/GccQ/pkIqBn2upnL/6TU/yIyUWG ++joKEkAyXR5FBwftrZ0vzds7fU3n4wj4n6hovLv6w+8oHkcHDAi5KON84Fv9 +LNz3xGZQ7e7oJyYXGerrKEgAyXR5FB0ctPd2vjT/uznfZDeTfqKiKX39BwcM +YkUIAAAA8BdF9c1NG+Or5GSftNGUsfGDCCZvtgMAAAAAdbCGzNM/3a1TkH3S +jjgn7OPwP2DaAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA0AJFXUrE +Mi8n26Fj5h3KbtKRgRTag9KPppfGAgDACyTF8RezuHknu74xsKaJC04dv1ev +aJUWHHV+azqVCygvD4oXDRNlXYwvVv+BA/2/BADAuMAaHkSuOVdijK8WMrym +YfJmedsk2ZQe6LQUz9OQ9wfFjyYrOb8m8kEDxu4vAQAwKmRFPy74OqNJ32lw +AYKmYS36Gf+aMnd/diSfu2U/brvQHlQ9WlPG1wt+xH1hL/2/BADAGBDnhn24 +LVuM+28t5T/PGeuTomno2oa09HrULzmNneMX1pwXFeg2fICJ2dAJfj89Zm6l +qwYmLk7Y727Rx2Tk/A1bNgcHLp7pNnXxzphCcVdgRX36xehbVQSeF/hNU0+b +6OjSsqSjq6e+MzNJewsq/J4hTh5ryIr+IVHIySsTCdvF4qAkiuNFE2dv+yAs +V10P+n8JAIBxIMnb5TwTf0e/pezi0gkDrObgzjstFVdWLTjafW3c/GjvF4eS +n0tl1XcPfTjQdPTuPK3fzqqovOxmbjE1Vtg+oMkrY5a+afLGwmvC7iZM2ft8 +vkyoxhku8ZqmmTYBmKSypCxttfUgBNaHxD2DlzwmLrp28eZz5Wpf0ViUJ0I8 ++RC0i9VBCdtFFK32+gznnmVB/y8BADAWlCP75LFfPMTZipKV/PzVvv+Gj7PG +m3cUwjgfB78e/yCruJFQ3jFQND3wH/b6B0n1WiaHVcd7WZpP+rmic5qRPA6z +62vukVDT/a9qrvu8u+JWvfoFDE7TcNImA5HVO1nPaCQvK4meP2LYCDslI0dN +3KRpposAjXaxOyhRu4ijNT0MHDslpopGY9X/EgAA40Gc/aX9uDDNF3jLis9t +PJJbX/AvAd68Iy8742Iz9w7h+N2QttjW8bDWG/R1iZ8MMnM8WdK1+pYVHBjd +z8w1vrr7n2E1v0638bpWrTZIaTYNJ21FQ9bZjd4TXIIj1vl4jLEa6rAiurDz +G4znHdJobWj0DEHy2qL3duEiebxz3JiQHBr7Z/T/EgAAQ0OU/Olb4w6o2+RJ +C09tPJYnbpUV4s87DSlzrMd9+5RglMFqE1dOXptUp+1QKkpeOPhVQY9BWhjn +aWFiH6HmryTO2WxvtyajWf3r6k3DTRurvjrRcmiA6pKjpfT8rEED3M6Vd0x0 +pONzS31ppUSjiSTRWvF7Bj957WHbLsbRWukrrlw2CN6eT+d5Ofp/CQCAoVGf +NP1NwfdFPe5tS/J/2vjTU9V6lmjeqf3N1Wp8VCnuXQBF3e2w1cdy8Z8qaCm7 +4Pu+ixqe/rfwRqzG9JVDTP++50nXHCMvO+tu0d/l+DO1W/HS/L1jreelqA1S +mk3DT7u7CbvozqdWQ5a88LAlGZ9lRYcFpoM+1rzkI45G0DP4yZNAtw9ZtYsQ +xu3CTb3o8DvDPrpNY5+T+C+ZlBAAAHxEdGfWMMF3hd0vASSPwyeN/vvoNkZa +9X3l1bftXb940MNOXHTbe5jgX4Wa1ztYc170rmMPUfxMszkryNrUZmtu536O +vCrWd4ilc0SOxqWBJDfU3tb/gdpNKs2m4afdfURtvL9s+KjO7R2y8Vlemx5/ +s1BzrCWKRtgz+MkjgF27mEZjpLis4KDAei6dOZb+XwIAYGg0Z6we9c5eIl/w +luIf/vE2zvWOND9CYBegMVZKn/078khquxufoi7rclwZ+weSxDkhNqbW6zLb +JxlFQ1aUn4Ot186kWpyLLFHy3BFO0WVq/6LZNPy0VSNqx2WVcrSbMCGs0zdQ +8sd2VuOzZjSSnsFPHgF6bhce0rzdAvsgOo8t0P9LAAAMDXnZaWfBV48I7t8S +zTvKa6IdDk49byMrL0dWjPjLS3/q4KW+9uFPWE470orkS2HTLPu8Mnj2+m2h +oSFB/ksWBey+lFmPPzhL/tjhMPmHYvXfweA0DSftthF1wEDPoG/2H4zc+sWm +Cy9umMuqHsbtcu7f7+2155PzmzScbYnAiUbaMwTJI0C/7cKlOXPdWJdz5TQO +Sv8vAQAwOJqzgifOT6b7ZHEnitrEDR/t4sN6FBOlfuW9/T7Oa1VwmoaXdvcd +JO1hFo04eV1nopNo9Umz3wumVTT0/xIAAMOj8d5qz3DNB6mpkRTH7Dtyo0K/ +bzORFMce3B9fjp8EbtM00m4bUQm3GpnCJBpp8jrNRDfRpHl7p6+510j9hwz+ +EgAAQ6Q5e6d3eC6rl3JhUmG1VJ/PESnEz2tJEiBoWre05aKM84Fv9bNw3xOb +QbCNxwBm0SiS12Emuokmzf9uzjfZdK5h6P8lAACGibzqWtCaX6uMcS/diJtm +aCiqb27aGF9FY9ai/5cAABguirq04yceGI5JDQOMuGmGBNaQefqnu3U0FgD0 +/xIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAdIKiLiVimZeT7dAx +8w5lN/Hl0WR+ZgUYIpjo4dGQgEXTxwvmHS8Cl23eA3rxGklx/MUsrX/DIi44 +dfxevaJVWnDU+a3p12uRpNYB+wy5zIoOmCjrYnwx+ese0PQ/pyh4nZ2OUIhy +b5WIW1tlT7+dOOViBZ9/QwR6tRqUXr0PrOFB5JpzJdq/BQyTN8vbqr0pPdBp +KUIvSK0y5Cwr2shKzq+JfED4bk9k/Y+aluITs3x/r1M57AU6L7hdr2U4WWXi +7mlOWx6JW5uzNjjPvCo02JFRVhKzec/tWr4NY6AXATzVq3cjK/pxwdcZKG3F +mjJ3f3Ykn9UL3XBBkyHqrBgdO+PrBT8W4c8s6PsfEZgwbpbnmTK5ygbOwf0C +itViXaKPx8Gn4ooY39BUFJd3WIvux0JZ5e1jX3gMs5p2uJBfGzegFy681at3 +I84N+3BbNo6/juRJ5KefROQROO8QgjVkRf+QKMR7eRYmKb11duO4v75sOm7Z +l5uCAnw8XT4IPP5QRHGCEGaoEb85LyrQbfgAE7OhE/x+etzd65MkK3wUtbci +/NZH/ng8cp3fXtpLJcJvibO3fRCWi9cG2q3TABMXJ+x3t+hjMnL+hi2bgwMX +z3SbunhnTKGY0blN3GmNd1d6qNzb5KVRkxzCmLyRnDCmOGenV0hy2skTGUSj +mLT0etQvOY1UTcCkZUlHV099Z2YSI3M6Btkq6tMvRt+qIvA9kj7dP8H5R3U/ +da0PqtUXQS8O9QLQIsnb5TwT96aHUshLl9KZvQcLExddu3jzuXJhr2gsyhPh +DPPiR5tGmFp3GEU2Z263++sbn+H4xtHKUI3mR3u/OJT8XCqrvnvow4Gmo3fn +SelmpY5CGPfPUdN+rlD+qbz8wvujfK4KafQD2bdqr89w7kyITetwD1h52c3c +Ympsxw6IvDJm6Zsmbyy8RifZDgg7TbVqdpyiDC3N/9515PwUqtUBrZjK6dfV +Z/PpJwRvkm6puLJqwVEa16SYpLKkLG219SCGpqjMsm3O3ufzZUI1Xr0oKn75 +xC+pnvXqnfigrL8IenGoF4AW5cg1eewXD9Hs8shKouePGDbCTsnIURM34bpy +iXO32nTOO60NKfP+ZiogddOknaGs4kZCeUcJNj3wH/b6B0n1dLNSQ156yun1 +8R3Lo5bio4LXJ56hNpom/VbTw8CxU2Kq1Atfq/7HquO9LM0n/dy1oyJ5HGbX +19wjoYZuCKJOU7mxnnG1cXHzWbUtPHKGYMaeKwV01+TEMVtFaX6fnyomuJOl +nLZ9HPzIFyHdUI6zjM24mWXbitVc93l3xa2u4Ur27KdPJ3+y8fDZC6fP3sVz +VO9C/jxmeUAqQWPIDsoyW9CLQ70AxIizv7Qfp3FNLqv6/djnHhM/2rXniOZS +R1GfFunz3jDT//lfC8sBpq+80t/yzQnheXSv6rvPO4r6O8E2A975Gnf/iSRD +RUPW2Y3eE1yCI9b5eIyxGuqwIrqw5/Eb0hbbOqr7VdNHdOfjvw3srOe636da +vj43hfKBBNJvSR7vHDcmJEe9pfj9T5O6xE8GmTmeLOk6n2QFB0b3M3ONr9b8 +Y4adhgmvzp58qIC8B5EKoRw4XWzm3ul+5pPGZzyOscgWq/l1uo3XtWoW62R5 +yckpXnQuZAm6CPTiqV4AAkTJn7417oBmudbd/Mj63X2Xv3uksQCQPr99p6Tx +2WnvJTdqGx+un/JVJiP7LdW8Y9L/vc+Dv1y1wG1I/+GffpfdtTksKYzesPG7 +c6cj1u259eLmCG6GWPXViZZDA1Qrm5bS87MGDXA7V941+mK1iSsnr02qY31V +XZPgYv63zjlDOZ8MNHf7jfKEIf2WckYQvD1f42k6ov6ngyh54eBXBT1OO2Gc +p4WJfQS+6yeTTlMNY45B1NIiFKIhZY71uG+f0haadBxrqS+tlGgclnm24pzN +9nZrMlg4zNEcx0i6CPTioV4AEuqTpr8p+L5IfZ+r8e4ym7Ehl7+9V4Nbgi0l +p7yXJdZJC49M873F7HHN7tc78rp7377/Wn/H7Zlt+0zy8vMzJu1TjplY7fVP +31vfsfmEn2Gbq/K+p23jq+jOp1ZDlnSaHivqboetPpZL/06tJqI7swe95vXi +yqX+d8/X6F3vkHyrpejwO8M+uq0+jeO2rqXsgu/7Lmp4+t/qOR40pq8cYvr3 +PU+65hh52Vl3i/4ux4lun3LRaehi1v7majU+qlRtM4Q4Psk4Jis6LDAd9PEd +jUUT42yl+XvHWs+j1r6TLu0cbczMRzvha/cC8i4CvfimF4AI0Z1ZwwTfFaqt +t5uzNtjZrbx08GYl7pZoS/GJj1beqlcIr3488/JzZo9r9ry/01p7w6P/K2+1 +L1Bqr08fObut9qT5Ef8QhLb7T+Nn2L0gG+8vGz6qYwsLa86L3nXsoZbPfCrX +Pg5/67xT8+zH8a87naZxf4fsW7KCgwJrzckLv3V0aM4Ksja12dpl0i2vivUd +YukckUO42OOi09DFFN32Hib4F12hydfP8tr0+JuFmiMo42wluaH2tv4PWNx/ +o14/U3YR6MUrvQB0NGesHvXOXrV9GemT8LE2Pue/O3U3KSFL/bkYec3vOzzH +r1KuO8TZX44eE/w7syfeejzP1tqcuc22r9mkqNKWttvy741sX8+0PDvuYNux +tMHNsK0gO9b6yhF9wgTV86PKxJ/9O/JIantCirqsy3FlpE8JSStS4q4/bsTJ +X14Z8+mo6W1zquL5Za+/z4vtssJm+a283QL7II2HGvBbRwNxTohy/l7XsbOi +aMiK8nOw9dqZRHbzFEmncRZTudgQ2AWoDxn48VVI/tjO+D4142xFyXNHOEVT +rzk0oRrHaHQR6MUjvQCUyMtOOwu+etTzdrc4N3TiKO9FswKPZTaoD69NDwLt +bOdGl8ranhX2fnOwVzztu3iYpPT2ua8Ef33ZxG5h8LatGwPne7wzYc72q+Xt +a6aa/5tm6922EyV9uq/zegc3Q1VBDhjoGfTN/oORW7/YdEF1v1G53l8x4i8v +/amDl/rahz8hPXskj8Pe+etfhgfj/nhGXpMYvnL9vh9P7N/gH5FUI9fyW8oZ +dt1Yl3Pl6t2J3zoKpBXJl8KmWfZ5ZfDs9dtCQ0OC/JcsCth9KbOe4nRD0Wkc +xpQ83uHgpH5PGye+ClnVw7hdzv37vb32fHJ+E+2VD9NsJX/scJhM+rglIaTj +GL0uAr34oheAmuas4Inzk3nx+KC8/NyHLpGqtX/dzXlOL+7v4GfY/QJcm0OW +/XvDWaLnRJF+qz5p9nvBOM9w67L/EXUaZzEVtYkbPtrVs5PQ5swsGiZK/cp7 ++33CFxxxDehlWHoBDGi8t9oznOWDvKiRFERv3Hb80rn9wcqLhc5FEV6GbQXJ +Zn+qOy2VNy78H6NdCtbfkubtnb6m855od3TY/0g6jduYkuKYfUduVHTN6Wjj +M4kmKY49uD++XI+vzQO9DEsvgAnN2Tu9w3P5MfHgo56hXJRxPvCtfhbue2Iz +qPaW+IE0/7s532Tj3/DXUf9z0WmcCIFJhdVSjIP4zKIpxM9rpXpcOYNehqUX +wBR51bWgNb9WMXsuTafwP0NSFNU3N22MryI6dQy8dQAAACxQ1KUdP/GAz/4v +/M+QEKwh8/RPd0mf+jPg1gEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAA0DtQ1KVELPNysh06Zt6h7CaDfPoZEz08GhKwaPp4wbzjRUh/EN8LMYJ6 +MIIm6Asj6DojaAI/UHDZd+KCU8fv1StapQVHnd+abpCvElSIcm+ViFtbZU+/ +nTjlYoVh/WSVU3FZYAT1YEBNAPWRYwRN0B8txSdm+f5ep/JDC3RecLuHG52s +MnH3NKctj8QqZyHnmVeFWtUuJm+WtwVoSg90WqphIWpAyEpiNu+5Xcv/aYdM +XBZAPajB7yaA+txiBE3QG5gwbpbnmTK5yl7Kwf2CxhK+LtHH4+BTcUWMb2gq +ohcDNGXu/uxIPpIXq2Etul/FySpvH/vCY5jVtMOFfN9ooxKXBdrVA65eBl4P +KhA2AR2gvo7gpfo8p/HuSg+VK5S8NGqSQ5jm+53FOTu9QpLTTp7IYFBnWHNe +VKDb8AEmZkMn+P30uLsfItaQFf1DopDwdYXS0utRv+Q0Uh0Lk5YlHV099Z2Z +SYz8sBhkq6hPvxh9q4rAkkT6dP8E5x+JjLFpH1lcnLDf3aKPycj5G7ZsDg5c +PNNt6uKdMYViRucPcW9TicsiJqt6INHLCOqBqglaHFSrL4L6bNCL+r0O5VLI +cUqsEJPmf+86cn6KukmqstKyt7n6bD79hNAEGofmR3u/OJT8XCqrvnvow4Gm +o3fndVwYYOKiaxdvPpcpdWwsyhNpaNVScWXVgqM0Vg6YpLKkLG219SCGPoyM +sm1tzt7n82VCNV5JKSp++cQvqV7r9ZWi8rKbucXU2I49C3llzNI3Td5YeE1I +f3FKnD+luCxisqkHQr2MoB6omqD1QVl/EdRng17U73XIy8642ri4+azaFh45 +QzBjz5UC9YWWKM3v81PMvNpkFTcSyjvUanrgP+z1D5LatpZlJdHzRwwbYadk +5KiJmzTM3BTCOB8HvxS6Xm5kvvMIslWB1Vz3eXfFra7pRfbsp08nf7Lx8NkL +p8/eJbPGpglWHe9laT7p5649EMnjMLu+5h4JNdrnTy0u85hs6qEDDb2MoR4o +mtAN+fOY5QGpBI0hOyjLbEF9NnClfm9E+uy/keFHTx1aPrzvn1/z8N9+suCF +PTQmvDp78qEC1pZPioassxu9J7gER6zz8RhjNdRhRXRhz+VJQ9piW0d1T198 +lCeKi83cO90LjTQ+40pjkS1W8+t0G69rtB3JmVKX+MkgM8eTJV0zmKzgwOh+ +Zq7x1VrnT0tcpAqi1cvI6oG2HzRBh4P6hqx+rwMTpa7/h8sRZe9Jcrfavvbe +ufKu621VbToGZWozTWPVVydaDg1QLQJaSs/PGjTA7Vx51yCK1SaunLw2qY6W +UA0pc6zHffu0Z4mTxCettJb60kqJxmGZZyvO2WxvtyaDo5WMKHnh4FcFPUpb +GOdpYWIfgW8VySR/uuIiVJA8GtORwcjqgea8Q9LhoL7hqt/bUFT9Z6rV6D1P +pKrp29du4g/FWt4KV6e7k7vozqdWQ5Z0ulIr6m6HrT6WS/fyvvY3V6vxUaVq +m1fE8UkqTVZ0WGA66OM7GhfpjLOV5u8daz0vhf4jki1lF3zfd1HD0/8W3rnb +mL5yiOnf28TpQF521t2iv8txogcW0PU2VzFZ6YWLsdWDo42Z+Wgnsnqg6nBQ +33DVpx4NjIqWZ8fGDxQoZxtF1dUVs8PSG1A3uLt2jfeXDR8VktO2i4c150Xv +OvaQwWMvotvewwT/KlS7pCeKT17J8tr0+JuFmmcM42wluaH2tv4Pmmi3ggHN +WUHWpjZbu6y65VWxvkMsnSNyCBdU6Hqbq5js9MLDyOqB+nqHssNBfYNVv7eh +aMg+u3HlugPnrly+ns/FmxxU2nUs2WUFBydMUD24qbql9O/II6ntXqGKuqzL +cWXUj+dI8yMEdgHqouLHVyH5YzvjO4mMsxUlzx3hFF3GxYMq4pwQG1PrdR17 +IYqGrCg/B1uvnUlkjyug622uYqLTy8jqgWreodHhoL7Bqt+7UAivLrK1Mu/3 +8ktKXn513Nr7yH9Tq9RuwEDPoG/2H4zc+sWmC6pbc8pl+4oRf3npTx281Nc+ +/AmdspU83uHgpH4PEye+ClnVw7hdzv37vb32fHJ+E+1HRJlmK/ljh8Nk5HuT +ytquSL4UNs2yzyuDZ6/fFhoaEuS/ZFHA7kuZ9RQljbC3OYqJUC/jqgfSeYde +h4P6Bqt+b0JWHvfN9otF7dpgLTVp+4KTkb9DqPu1qrYoahM3fLSr5+OIKOMz +jYaJUr/y3n4f+d4ke9D2BhcxoR64A9TvzeobCPKKi+9bu1+ubJ/9FQ15CVd+ +LUX/Loc27fbiP37FAklxzL4jNyq6Vjlo4zOJJimOPbg/vpz1Q+ZcgLi3OYgJ +9cAdoH5vVt9AwBozw2faDrQa4zFnefCuI5fuVaO/PpSLMs4HvtXPwn1PbAbV +FhFtMKmwWopxEJ9ZNIX4ea2UV2sbLnpbnz1ME6iHNkD93qw+AAAAAAAAAAAA +AAAAAAAAAAAAAAA0MAIrcyNoAhcYQbcYQROIQNs0I+goI2hCr0F7b3cjsDLn +SRO01wItPOkWbdBvEzgVFG3TQGugO2id09tA7O1uBFbm+msCYi3QVgsoyxwy +QfmsDmjd61H3ItfOOV0zPHpv9zbAjZ0SjXZxoAXialEBytKGSlDt1MHtPbRN +A617HwRe5Kyc03Xq7Q5u7FS5ELSLAy0QVwsoywgqQVmpQ9J7LJoGWgM9IPIi +Z+OcrlNvd3Bjp4CoXRxogbZaQFlmUArKRh3C3mPVNNAa0ATPq4KFc7ouvd3B +jZ0WOO1Cr0Ur0moBZRlCLSgLdTrQ6D12TQOtVcifxywPSKXbGONAr17kuvd2 +70Vu7AzbpXstQFkESJ/9NzL86KlDy4f3/fNrHv7bTxaIXxycjqAk6L33iDEy +rWk6mxsZCL3OyaO18sDbvVe5sTNplx60QButVyn74pCi1PX/cDmiHP0kuVtt +X3vvXHnXVhpdQcnC621koMDItO6d8w5Cr3PyaHzwdu9dbuxolWXZOh1F613K +th+z6j9TrUa3+WA2pPnaTUTuNMbXkcHYtHa0MTMf7USqtRGCzuucLBo/vN17 +lxs7WmXJY7LTF5TVgpZnx8YPFChnG0XV1RWzw9KRO43xdWQwMq178fWOHr3I +dRqzd7mxo20XWUy2+oKyWqBoyD67ceW6A+euXL6ez8WbWPg6MhiZ1r133tGj +F7mOY/YqN3a07SKMqYW+oCxrFMKri2ytzPu9/JKSl18dt/Y+8t/E83ZkMC6t +e++8w1PndC5i9iY3dr5rAcqyRlYe9832i0XtYyvWUpO2LzgZ+cgFWvNCayOF +187pXMTsNW7s/NcClGWFvOLi+9bulyvbV++KhryEK7+Won8XC2jNA62NE/47 +p4Mbuy4y0UdMUJYtWGNm+EzbgVZjPOYsD9515NK9avR7eaA1P7QGAAAAAAAA +AAAAAAAAAAAAAAAAAIAnEJmhg0m6oQPKAgDQBqdW7ywgMkMHk3SmgLIAAPAG +Mqt3FujGHR5M0mkAygIAwAc03MyprN5ZxNTOHR4XIjN0I/B5RwUoS4ShKwsA +OgcTFyfsd7foYzJy/oYtm4MDF890m7p4Z0yhmOG5RORmTmX1ziImK3d4Fn7u +RuDzjgJQlmErWKEPZQFAfygqL7uZW0yN7djXkFfGLH3T5I2F14RMFrBEbuaU +Vu8sYrJxh2fs524EPu9oAGWZtoIN+lAWAPQHVh3vZWk+6eeufRLJ4zC7vuYe +CTUMI+G4XVBbvTOPycYdnqmfuxH4vKMElGXSChboTVkA0A91iZ8MMnM8WdK1 +oJIVHBjdz8w1vlrzjxm6mdOyete7QzpzjMznnUX+oKzuWqGlsgDAP0TJCwe/ +KuhR5sI4TwsT+wj8V7IycTOna/XOWz93IozM5515/qCsISkLADyjMX3lENMO +e7125GVn3S36uxx/RnAzE633Ohcx0fm5E2FYPu9dfu7dwPFzB2WNVVkA4BXN +WUHWpjZbczuv9OVVsb5DLJ0jcggXV2i917mIic7PnQgj83nXKn9dxgRlAcDw +EeeE2Jhar+vYL1E0ZEX5Odh67UyqJXl6Bq2bORcx0fm5E2FkPu+c5M9FTFAW +AAwbaUXypbBpln1eGTx7/bbQ0JAg/yWLAnZfyqSyO0LrZs5FTIR+7kQYl887 +J/lzEROUBYDeCVo3cy5icpGhOsbo8w7KqjBGZQHA0EHsls5BTC4yxMHofN5B +2Q6MTlkAMGi4cEs3AD93IozI5x2U7YERKQsAAAAAAAAAAAAAAAAAAAAAAAAA +AGBEKOpSIpZ5OdkOHTPvUHaTtvdTiaKhPQpgKOimugAAQI2CyxNMXHDq+L16 +Rau04KjzW9Ov13ITDe1RAN2gfeHpproAAEBBS/GJWb6/16neIRrovOB2ffd/ +k1Um7p7mtOWRuLU5a4PzzKtCrUYHTN4sbwvQlB7otDRV8z2ISKKhPQrQDtpK +aIOs8Figm+oCAAABmDBulueZMrnqFYgO7hcq1F8HUpfo43Hwqbgixjc0lfmL +GXG96Zsyd392hIbhIz2IoiE8Cm4rjB71VmtXCZrhKQqPRYZt6Ka6WNA7qwgA +8Gi8u9JD9eZCeWnUJIewxxpnmDhnp1dIctrJExmMxhpCb3qsISv6h0Qhkx/o +4XvTk0ajOoq09HrULzmNVC0ibAUL8FuhqE+/GH2rCsnLuTBxccJ+d4s+JiPn +b9iyOThw8Uy3qYt3xhSKGY53BK1mVQnE2lEVHosMdVVdLzDKKgIA7lEuNh2n +xAoxaf73riPnp4g0Vp3i7G2uPptPP2HmSkXgTY+Ji65dvPlcpjxTGovyRPSG +B0JveqJoVEdpqbiyasFRGotYglawgrAVrc3Z+3y+TKhG8RN9ReVlN3OLqbEd +u2Dyypilb5q8sfCakMnFBFGr2VQCcaspC495hrqprhcYbxUBAMfIy8642ri4 ++azaFh45QzBjz5UCdT8RUZrf56eK2bxASsO7RFYSPX/EsBF2SkaOmrgpi94A +RuRNTxSN6igKYZyPg1+Khl0X3Vawg6gVKrCa6z7vrlAZVBIjfx6zPCCVImms +Ot7L0nzSz117VpLHYXZ9zT0Sahimi9dqFpVA3GrqwmOaoW6q6wWGWUUAoDuk +z/4bGX701KHlw/v++TUP/+0nCzpcrdr8jCcfKmD9WkK9e9MzRzngudjM7eES +qfdWYDW/TrfxulZNMmTIS05O8aJ6rKou8ZNBZo4nS7oWvbKCA6P7mbnGVzPM +k+tW0yo8vetCjIFWEQDoCEyUuv4fLkeU9SnJ3Wr72nvnyrt2NFRnv2NQpjbG +7my96RlHa8X3pmdMQ8oc63HfPu05uLBtRUt9aaVEIx3mrRDnbLa3W5NBIgSd +eUeUvHDwq4IeQ5EwztPCxD4C/+XI+tOObuHxtroMtIoAQDcoqv4z1Wp0m/th +Q5qv3UTk/lKsvOlZRCPwpmdM7W+uVuOjStX2wVm1QlZ0WGA66OM7GpstjFsh +zd871npeiubTui1lF3zfd1HhaGNmPtqp7T89/W/hjY6N6SuHmHYYXbYjLzvr +btHf5fgzAs35rx1fMzTUKuoGQRUBAAJanh0bP1CgnG0UVVdXzA5LR+4vxc6b +nmk0Qm96xohuew8T/KtQbTOFXSvktenxNws1xyrGrZDkhtrb+qvbL/c4FOX1 +TnNWkLWpzdbczt0YeVWs7xBL54gcwgUw/7Xja4YGWkUAoBsUDdlnN65cd+Dc +lcvX87l43YeevekZI82PENgFqJ+cem6FKHnuCKfoMpKHkSjnHXFOiI2p9bqO +vStFQ1aUn4Ot186kWpKg/NeOrxkaaBUBgC5QCK8usrUy7/fyS0pefnXc2vvI +f3itX296Fkge73BwUr97rN9WSP7Y4TCZfAeUdN6RViRfCptm2eeVwbPXbwsN +DQnyX7IoYPelTCrjMf5rx9sMDbOKAIB7ZOVx32y/WNRe/VhLTdq+4GTkL5rS +pzc9OxS1iRs+2tXzyVh9tgITpX7lvf0+8h1QavivHX8zhCoCABzkFRfft3a/ +XNm+vlI05CVc+bUU1etDutCfN70WSIpj9h25UdG1WtVfKyTFsQf3x5dr82g4 +a/ivHa8zhCoCAHWwxszwmbYDrcZ4zFkevOvIpXvV6K/A9elNryWYVFjdYW2v +z1YoxM9rpXpZo/JfO/5nCFUEAAAAAAAAAAAAAAAAAAAAAAAAAADw/9h797io +qv3//9PjkaffUT4fRJCypNQoQTqgTp4gFAQJESlNrdSDmujJlEtqiqSJgkfI +C15SyzTNRFEzTeMESnw1CRXQpASCUOQiN2G4DchcmNn8GBiFmdn3WXv2npn3 +8y8fCO/9Xuv1XmuvvWbPegkGtH73aKMBpgJUEQBYDCqDxyRav3u00QAiDNcd +LVBFACAcFHUZW6d4bvhT2tmev8Zr+gWx4fNFR8WRmSG/NquPq4zwmn+thfov +SEHrd482GtAHxLqjrUyoIgDgFV239+aMYP+996S1ySGxOQiO38TEqTMDT1Qr +1SciuvudrmViJ0mQYTcI/e7RRsPN1uzRazUC3XUxrDKhigBAABC4vUsL44Ki +s24cPXKbwdgm9qZvu7nMX32QobIqcaJ7fDGjQUnoR0/ld88oQ8po8qpLiT8U +tlH1BmG2LMDPVtWSeybpaj2Sr/1i0or03X52/axGzVuzYX1UxMLpvgEL45LL +pAznO6JWs9edUClWlQlVxGUVAQBDiNzepQUxPsHrj99l4hpF7Pbetdr1eCNF +jMlLvvIZNS9bwmTZS5Ahld89swyponXUnl8+/yCNRSxRf7KBuD/bC3YFf5Le +gOJr9qq6c762dgEpmh0rZV3y4hesnl9wUYxAIwN0J247m8qEKuK4igCAMXhu +IJIboR8eq2B0wBOx27uy+oSPk7dv8PKYbTuniaZtP1/K0PJLL0Mqv3tmGVJF +U4lTg91Ds/WsuOhmyw7i/lSbGF8Kfm2p2nySGOWD5CXhORRJYw1pQfa2E7/v +3QGTFce79Lf1T29kmC5Oq9nrTtJ2FpVJlCFUEXUVAQB7eHV7V9sYT9pXSj5V +8O5HT0zX9OntNEfLAZL3bLHGn6c6BV1sIJky6HhhdzZnvDvExuNoZe+iV1G6 +x22AjU9aA8M89VttuO7dMFCKf12IMdEqAgBD4M+bXj39eETmUS4m+cuQgtbs +2Y5jP7+nPbmwzbajpapOpndZ5tlKC9e7uqy8TdKrdO47kqwFQweKtKYicWqg +nZVrAv7Bx0xajUD3ToZKMczQoGhMczPRKgIAgxCqN73wM2z6xcdhXGKVzj44 +q2wV5ftF1kPeua632cI4W3nJjjGOc7P139btqD4dMtlbjYeTja2bZ/c/A8Ou +4s2ObbnLhllrTCx7UFaf9LMb5H34PsEHzmg1oorJppagitBWUR8IqggAiBGq +N73wM5RcmzFC9EWZzmYKu2yVTblpV8r05yrG2cqKYl2dw3StlbUuRfm8054f +6WjttLHo8W6Msj4lZJi9V0Ih4QIYrUbkMdnVElQR0ioCAIMQqje98DOUlySI +XMJ1ByfP2Uqy5oz0TKomeRmJ8r4jLYx2snZcpdkJU7XmJ4a6OwfFZTaRBEXb +arKYbGsJqghpFQGAQQjWm174GcqKN7t76n56zG+2sr82u0/6uoLs6xek9x15 +bdbZ+Cn2/Z4aOmt1TGxsdGTYovfDt57NozIVQ9tqdm03ZoYWX0UAYBDC9abn +JibKaKqmjDVvb9F+M5bPbDFJzroZm261Gn+z3bJ0hyoCAMMQtDc9BzERZyir +SN514HJt72qVv2xlFSl7d6fVsPkKi8FYmu5QRQDAGuF70ws/w05MLm7Q2Nbz +ma1K+qBJzssa1dJ0hyoCAAAAAAAAAAAAAAAAAAAAAAAAAAAwWdB62aONBpgT +UGkAwBMqgY0QtF72aKMBhgCVBgAWTEfFkZkhvzarD4+M8Jp/rYX6L0hR1GVs +neK54U9pZ3v+Gq/pF8QGzS9ovezRRgMYApUGAJaJnpM7Jk6dGXiiWqk+n9Dd +73Qtw7NP8GjOCPbfe09amxwSm8P84FBcr3mEXvZoo+FmC+ABlWYQUGmACULk +5N52c5m/+lhBZVXiRPf4YgZDhNB9XloYFxSddePokduM5gJCr3kqL3smuVFH +k1ddSvyhsI0qc8JsWYCfraol90zS1XpDD9Ui6QqdX5RWpO/2s+tnNWremg3r +oyIWTvcNWBiXXCZlNN8RXw4qTQdzqzQA0IXIyb1r7enxRooYk5d85TNqXraE +/iKU2M9dWhDjE7z++F1mLlMEGVJ52TPLjSpaR+355fMP0ligEvUnG4h7sr1g +V/An6Q2GfMWdOLg+qrpzvrZ2ASmaHStlXfLiF6yeX3BRjKIqoNK0ML9KAwBc +cJw+lNUnfJy8fYOXx2zbOU00bfv5Urr2ViR+7pIboR8eq2BzIJRehlRe9sxy +o4qmEqcGu4dm69ls0c2WHSQ92Yk1Xgp+banaWJIY5YPkJeE5BEmTBdcFa0gL +sred+H3vDpisON6lv61/eqPhbYFK64tpVhoA4MPQyV1tUTxpXyn5wEXqPs+/ +1zwxXVOjt9McLXdH3rPFGn+e6hR0sYFkOqDjc40fXIfmjHeH2Hgcrexd9CpK +97gNsPFJazC4LVBpfTHRSgMAIpg4uasnA4/IPMqlHUL3eYYZGhSNaW6t2bMd +x35+T3viYJttR0tVnUzvssyzlRaud3VZeZtEI5r3HcqukGQtGDpQpDUViVMD +7axcE/APPmbSFqg0LUy00gCAELS+81QxmbrPo88QXW5Nv/g4jEus0tnjZpWt +ony/yHrIO9f1NlIYZysv2THGcW62/pu4HdWnQyZ7q/FwsrF18+z+Z2DYVfyZ +j7or2nKXDbPWmFj2oKw+6Wc3yPvwfYIPnNFWBRcxodLQVlofCCsNsEzQ+s6T +x2TuPo8+Q3S5Sa7NGCH6okxno4Rdtsqm3LQrZfrzEONsZUWxrs5hurbJWpei +fN6h0xXt+ZGO1k4bix7vxijrU0KG2XslFBIugNFWBRcxodKQVhoAEILWyZ0s +Jhv3efQZostNXpIgcgnXHXg8ZyvJmjPSM6ma5EUjqvsOra6QFkY7WTuu0uyE +qVrzE0PdnYPiMptILoy2KriICZWGtNIAgBC0Tu6EMdm6zyPPEGFusuLN7p66 +nwzzm63sr83uk76uIPtqBel9h05XyGuzzsZPse/31NBZq2NiY6Mjwxa9H771 +bB6VqRjaquAiJlQa0koDAELQOrlzEVO40VRNGWve3qL91iuf2WKSnHUzNt1q +FeZGOlQae6DSAPMCsVM8BzGFHK1TVpG868Dl2t6VKH/ZyipS9u5Oq2Hz9RSj +AJVmEFBpgLnAhVO8kL3suWhvJyYXN2gs6fnMViV90CQX7PoTKg0BUGkAAAAA +AAAAAAAAAAAAAAAAAAAAAACcg9bIHm00gB1EKhhHa6gBhIBkAApUAhMVrZE9 +2mhmDKdlQKSCcbQ26RqwzOFp0pIBBHRUHJkZ8muz+uTICK/51wjtW2iiqMvY +OsVzw5/Szvb8NV7TL4gNGipojezRRjMvyMrAOJoaR2tTqwEYniYnGUADTJw6 +M/BEtVJ9OKG73+lahkfs4NGcEey/9560NjkkNof56ZG4RvMIjezRRsPN1gSh +KgMjamocrdFeBRV6HYVgeOrGNNnhKUzJLAXpvZNr5k2dMGqow7jFx8rpnpNB +aBPfdnOZv/pMQWVV4kT3+GIGqhLGlBbGBUVn3Th65DajsiY0mqcysmeSG3U0 +edWlxB8K26gyJ8yWBfjZqlpyzyRdrTfOiVpUZWAsTY2jNYurEF1cWpG+28+u +n9WoeWs2rI+KWDjdN2BhXHKZlOGETtRR7IcnYUzTHJ7oJANYICs/uedCpVxt +f/zj7OdH9JpukEJsvN61jPJ4I0WMyUu+8hk1L1tCfz1FHFNaEOMTvP74XWYW +UwRG81RG9sxyo4rWUXt++fyDNNZUBNmygrgn2wt2BX+S3sD9YKMsA6Noahyt +WV2FGFXdOV9bu4AUzY6Vsi558QtWzy+4KGbyaEJUTuyHJ3FMExyeiCUDGKNS +PNQ86MqKYl+b9KWuyQcuxMbryuoTPk7evsHLY7btnCaatv18KV1vKxIzd8mN +0A+PVbA5DUrPiITKyJ5ZblTRVOLUYPfQbD2PLbrZsoOkJzuxxkvBry1Vu0oS +o3yQvCQ8h27S+CEoy8AImhpHa3ZXIQZrSAuyt534fe8OmKw43qW/rX96I8NI +OOXEfngSxzS94cngKgjGAkCCquXm3n/N2FUk1f05M+N1tT/xpH2l5DWI1Hqe +f6N5YrpGubfTHC1rR96zxRp/nuoUdLGBZLqhaYTdKb//085tB4/tW/Jy/789 +7R+26Wjpo+qhVQYkoO0lVlfphkkdoqI5490hNh5HK3vX4IrSPW4DbHzSGvR/ +mWFHGT480ZYov8OTDnTHAsACZfOtU5uXBIz83/7DF6bU6zx0MjFeV9e1R2Qe +5SoFofU8eTQWcxTC3FqzZzuO/fye9hhgm21HS1WdTO+yzLOVFq53dVl5m2yN +R2esYZKc1f/0PtA1wGVFG52ffv1UTe+WDd0yIAuPVFMWV+lkXodIkGQtGDpQ +pLVSEKcG2lm5JuAfFc2koxAMT7QDit/hSQe473AOJsle/dLT3sn1OqKhtbDn +IiYro3kj5Nb0i4/DuMQqnRs5q2wV5ftF1kPeua73xM84W3nJjjGOc7P1Xx7t +qD4dMtlbjYeTja2bZ/c/A8Ou4g5iVf1/Axzcuu0pW2+EuExAbgCGVlPmV2Ff +23r0dmwfCDq2LXfZMGuN7WcPyuqTfnaDvA/fJ+hgLjrKWAOK3+FJAqOxABhI +281Frm/8pPsGPloLey5isjOa5z43ybUZI0Rf6H5ixi5bZVNu2pUy/SHFOFtZ +Uayrc5iuZ7LWpWis8TruHxr3jKjrbqOqv7B0VnwucgMwtJoyvYohtW0I7fmR +jtZOG4se7x0p61NChtl7JRQSPqRw0VHGGVB8D086wPMOR2DSmrL6HjMN+b39 +0z7U22dDbGHPRUyejeYJkZckiFzCdad4nrOVZM0Z6ZlUTfIKD52xpmotOLl2 +2ao9p86fu1TCxUkjaHuJ2VUMq20DkBZGO1k7rtLshKla8xND3Z2D4jKbSNTi +oqOMUaJoo3ElGdx3uAFr+nXJ6GdHBoRvO3z82NGLpThfE0BrYc9FTH6N5kmQ +FW9299T9kJPfbGV/bXafRL4rRj3WVOIL7zs72A548okunhw49uNbyL/zjbaX +GFzF4Npmibw262z8FPt+Tw2dtTomNjY6MmzR++Fbz+ZR2bBx0VGclyjaaBxK +Bvcd3kBr485FTOFGUzVlrHl7i/aLmnxmi0ly1s3YdMuwXTFFTepnm86U90wf +WEfjjV1RWchHJhdVx9dVOAWGJ2CWILaJ5yCmkKN1yiqSdx24XNv7zMNftrKK +lL2702oMe8dUWXtmsqPfubqeBaqq9U76+Z+r0J81wkXV8XUVToHhCZgfXNjE +C9nInov2dmJycYPGj57PbFXSB01ygz+Kwdrytk13fsZhtP/sJVFbDpz9rQH9 +wTucqMDTVTgFhicAAAAAAAAAAAAAAAAAAAAAAAAAAABDwJ/d5ADJBA4IBAgM +8Ge3cH92wwsAJOMUEAgwC8Cf3ZT82dF2bzeIC8DCJQOBuLgKYOKAPztJNGH6 +s6PtXv3w6AugG8uRDAQiiSYEgQD+AH92imjo/NkxaUX6bj+7flaj5q3ZsD4q +YuF034CFccllOGflkcdB2L3EHcJBAZiUZCTXpfxTEIg8GroxBZgm4M9OGg2x +P7uq7pyvrV1AimaTRVmXvPgFq+cXXBTz1b2EHcJFAZiUZMQ9QwkIRBoN8ZgC +TBXwZzfcn50WWENakL3txO97t0RkxfEu/W390xsZRkLUvUQdwkUBCE4y5YPk +JeE5egZ75NelCwhkpDEFCBnwZ+fYn50WzRnvDrHxOFrZu8RTlO5xG2Djk9ag +/8u8dojQCkA/Q8OhffQ9wXVBICGMKUDYgD87p/7sdJBkLRg6UNR3XGLi1EA7 +K9cE/FN3+esQwRWAXoYIoHnfIbkuCMT7mAKEDvizc+rP3gcCf/a23GXDrDUO +ij0oq0/62Q3yPnyf4KRn4XeI8DPUo1cyDycbWzdPMsmoriv85gs/Qz2YjClA +8IA/O5f+7NS050c6WjttLHq8NaGsTwkZZu+VUEi4ahV+hwg/Q2Kon3coryv8 +5gs/Q8C8AX92Lv3ZKZEWRjtZO67SbI2oWvMTQ92dg+Iym0je5xF+hwg/Q2Ko +7js0riv85gs/Q8C8AX92Lv3ZSZHXZp2Nn2Lf76mhs1bHxMZGR4Ytej9869k8 +Kkcr4XeI8DMkhvS+Q++6wm++8DMEzBvwZzc5hN8hws+QU4TffOFnCJg34M9u +cgi/Q4SfIacIv/nCzxAwY8Cf3eQQfocIP0NOEX7zhZ8hAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAFgwqubshA+CPJ2Hj567r+Choad6EEVDexWLAgTiEeN0 +F3Q+wDEqgVWVtPTY4d9aVJ3y0oNeL06lcwQ+m2hor8IpIBCPAplK53MvCibJ +P5NW0ddTQf8nuCjKDs2PBQsfoLOj4sjMkF+b1acvR3jNv8bIKwsHRV3G1ime +G/6Udrbnr/GafkFs0FjFlO3K7gAPcyM8F+e0GpYbUTS0V0ENCMSjQCbZ+cYQ +RVH53cqdv7f2yV//J/ooyr6eFp4tsAEGcA/WoVMXmDh1ZuCJaqX6tFt3v9O1 +DM97w6M5I9h/7z1pbXJIbA7zA2/1MlTzMG/rvw+UMDKkJ4EoGtqrsAMEIolm +dIFMu/O5FeXh7f/M/0bLMk7/Jzp0VHw7fanBN2/ACGDSivTdfnb9rEbNW7Nh +fVTEwum+AQvjksukDEsWk1dnHlwR8Or0TO3zbNtuLvNXH1KrrEqc6B5fzKBI +sfY7iRG+Lw+2shk+PvTb4l4fD2lhXFB01o2jR24zGldEGXZirflJX2eImXzh +mjA34mgsrsLoupR/CgKRR0MiEMNkTLjzuRdFWhDzZnyRlPQnWigrk2b8+1cW +p+gDPKCqO+draxeQonkmV9YlL37B6vkFF8VMFl+YrK6y+sYKxyE656h3reM8 +3ugKLS/5ymfUvGwJ/Zjtf+74aF/WA7mi4ea+t56xdtt659EhUF3V5xO8/vhd +Zru4BBli0vKLZ6486FpEqdrK70joDSPC3IiisboKg+tSAwKRRkMkELNkTLfz +jSNK06VpXtolrv+TPiirv5u58HKTwD4kA/DBGtKC7G0nft/7jC8rjnfpb+uf +3sgwEo5vlLL6hI+Tt2/w8phtO6eJpm0/X0p3ia6ovZxeoymwh7+HjXjuzcxH +z8+SG6EfHqtg49mul6GiMmneyBEjXboY9cqET2l+IEmUG1E0BldRPkheEp4j +YXZduoBAhgvEHOKOMtXON44oXb/1R8SYN5Lr+/SJ/k96UdX+8M789Aa47ZgG +zRnvDrHxOFrZu2ZRlO5xG2Djk9ag/8uq1vyTa2eM945KWBXsP9phuPvSpLLH +mwP605ra9H3SvlLyQUAas5vWGwudPfaTbeyyztCQaIxzowG15SX5dUEgjgVC +mIzJdz7XOcuK48aOfmyHiv+T3ovWJc/+l4EvUgBGQ5K1YOhAUd8SwMSpgXZW +rgn4h5tjDRcm2A8Pv9qCdXZUfTdzyGDfUzWaW5Ze3aoHlkdkHuVyiCSm+n+b +MpZN+jiTtpk6kwwNisYiN0po3ndIrgsCcSoQumTMofO5zblrASx6aV7f9+X0 +f/I4Zn3qv+Yk1yF4MQMwAm25y4ZZa4xqe1BWn/SzG+R9+H4H/l/0dXqSXH/P +Ydii39p6/od93RLH7FQ1X4tfcaiIySfoaDNEmxsBHdWnQyZ7q/FwsrF18+z+ +Z2DYVfyhSX5dEIhTgfqAIxAXyQi58znNuaN8/6sj3r4mIfuJBqzh5/nv/oDi +fUDACLTnRzpaO20sevwUrKxPCRlm75VQSLgM61tRbbc+ePmVx4+9aKa1vjGx +9jtJWw79wfB1ULQZos2NCurnHcrrgkBcCsRDMkLufE5zVpTuFTnOyW4l+0kP +WOOlhbNO14AHkGkgLYx2snZcpXnWV7XmJ4a6OwfFZTaRCKiuKM0DUlcVjB+v +fg20B9lfmwyY1vRjyu//uPNATnP3GkbVnH8utZre21toM0SbGxVU9x0a1wWB +uBSIh2SE3Pmc5iy/s1XkGtn3tQX9n2gul7F4RlIV3HZMAHlt1tn4Kfb9nho6 +a3VMbGx0ZNii98O3ns2jMg7sqqjBzwRGfrZ7786NH316+tEHhor6P1K3eA0a +8NLH32WVPGT4vIsTs+vBa+nIvz/xPxqe6O+67S7NwYo2Q7S5UUF636F3XRCI +S4F4SEbInc9pzu15q8Z4n6pRkf2km5ZrH759lOiDAcAs6PsELcyYQo5mBEAg +HrG0zuf0Ki2Zs16P0nq40f+JGkl22LRDRnljEeCN7oragf+ymzBiCjmaEQCB +eMTSOp/Lq8jv7Ji68vHrCPg/UdN2c8VbX1K8jg6YNErJ7e8iXhxg57c95TbV +hhw/MYUczQiAQDxiaZ3P7VXkJV/O/qygnfQnah7mrn5zj0CWHQAAAICpomq4 +8unatHol2U+6eXh77ZsJTE62AwAAAABdsNa849/ebFaR/aQHaWH8O9v+gtsO +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAaiasxM+CPJ0Hj567r6C +h0Y6xhjtRelH46WxAAAIAllF2pl8457VbixMrGnS0mOHf2tRdcpLD3q9OJWO +56fgLooXDZPkn0mr0P2CA/3fBADAvMBaf9+58lSlOR4tZHpNw5Ttyu6b5MPc +CM/FeJ6Ggr8ofjRF5Xcrd/7eirH7TQAAzApF+Tfz/3P7Id9pcAGCpmEd/Mx/ +D/O2/vtACXfLftx2ob2obrSHt/8z/xvcA3vp/yYAAOaAtCj+rZgCKe7/ddR8 +P3tMcLa+oWs38qpLiT8Utj2ev7D2O4kRvi8PtrIZPj7022KDfX0xaUX6bj+7 +flaj5q3ZsD4qYuF034CFccll0t7AqpbcM0lX6wk8L/Cbpps20dXl1ZkHVwS8 +Oj3TcAsq/J4hTh5rzU/6OkPMyZGJhO1icVESxfGiSQti3owv0tWD/m8CAGAe +yO5s8ZqOv6PfUX1m8fjBDrNx7zsdteeXzz/Yd23c/ueOj/ZlPZArGm7ue+sZ +a7etdww+nVVVd87X1i4gRdwzoSnrkhe/YPX8goviviZMBbuCP0lvwJku8Zqm +nzYBmKyusvrGCschCKwPiXsGL3lMWn7xzJUHXat9VVv5HQnimw9Bu1hdlLBd +RNGaLk3z0i4L+r8JAIC50DWzTxrz0R84W1GKyu/X7fpp21hHvPuOSpwa7B6q +9R+K2svpNZqJ4uHvYSOeezOzxcDksIa0IHvbid/XPr7NyIrjXfrb+qc39v2t +xkvBry292qL7AIPTNJy0yUBk9U7WM3rJKyqT5o0cMdKli1GvTPhU30wXAXrt +YndRonYRR3v4R8SYN5LraTRW9zcBADAfpAWfuI6N1z/AW1Fxau2BopbSL0R4 +9x1l9QlvpznXCefv1hsLnT32G7xB35zx7hAbj6OVvatvReketwE2PmkNfX8N +a/x5qlPQxQadSUq/aThpq1rzT66dMd47KmFVsP9oh+HuS5PKHv8F4/sOabRu +9HqGIHlD4b1duMiK48aOji6ksX9G/zcBADA1JFnvvTh2j65Nnrzs2NpDd6Sd +ijL8+05r9mzHsZ/fI5hlsKaMZZM+zmw2dCqVZC0YOlCkNUmLUwPtrFwTdPyV +pIXrXV1W3m7X/XPdpuGmjTVcmGA/PFz9yNFR9d3MIYN9T9VobnSk83NHS1Wd +TK+JJNE68XsGP3nDYdsuxtE66SvetWwQvTSPzvty9H8TAABToyVz6guir8q1 +PtuWlXy79tt76vUs0X2n6Rcfh3GJVbifAqiar8WvOFSE/1ZBR/XpkMneOgSG +XcWbsdpylw2z/sf2u733GGX1ST+7Qd6H7+t8FC8v2THGcW62ziSl3zT8tPua +sEuuv+cwbNEjD1uS+VlRvl9kPeQd/Uc+4mgEPYOfPAl0+5BVuwhh3C7c1Mv3 +vzri7Ws09jmJf5NJCQEAIEQk12eOEH1Z1vcRQFa8baLbP9y6GeXQ/6mBL7n6 +fPS7lp245NqMEaIvyvSfd7D2O0lbDv2B4mua7fmRjtZOG4se7+co61NChtl7 +JRTqPRrIimJdncN+1/mQSr9p+Gn3nVHbbn3w8iuPt3fI5mdlU27alTL9uZYo +GmHP4CePAHbtYhqNkeKK0r0ixzl07rH0fxMAAFOj/faKV17dQeQL3lHx9T9f +wnnekZckiFzC9eZK+f0fdx7I6XHjUzXnn0utZv9CkrQw2snacVVez01G1Zqf +GOruHBSX2YTzkCXJmjPSM6la53/0m4aftnpG1TxWdc1248fHP/YNlP21idX8 +rB+NpGfwk0cAz+3CQ35nq8g1ks5rC/R/EwAAU0NZfdxLtO5Pgs9vie47Xc9E +m909tT9G7nocWTry70/8j4Yn+rtuu8vytiOvzTobP8W+31NDZ62OiY2Njgxb +9H741rN5LfiTs+yvze6Tvq7Q/R4MTtNw0u6eUQc/Exj52e69Ozd+9OnpRx+Y +K+r/SN3iNWjASx9/l1XyUM/ZlgicaKQ9Q5A8AvhtFy7teavGeJ+qoXFR+r8J +AIDJ0Z4fNWFeFt03ix+jaspY8/YWIaxHMUnOuhmbbuEcq4LTNLy0++4gGQ6z +aMTJGzsTo0RryZz1ehStoqH/mwAAmB5tv60I3Kb/IjU1sorkXQcu1/J7moms +ImXv7rQa/CRwm6aXdveMSrjVyBQm0UiTN2omxokmv7Nj6srf2qh/kcFvAgBg +irQXxM3YVsTqUC5MLm6Q8/kekUr6oIkkAYKm9UlbKbn9XcSLA+z8tqfcJtjG +YwCzaBTJGzET40STl3w5+7MCOs8w9H8TAADTRFl/MXLlz/XmuJduxk0zNVQN +Vz5dm1ZP465F/zcBADBdVM03Dh/53XRMahhgxk0zJbDWvOPf3mymsQCg/5sA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYBRUzdkJHwR5Og8fPXdf +wUOhvJoszKzMEuhqAADoIqtIO5Nv8HdYpKXHDv/WouqUlx70enHqpSYkqWlg +nyGXWQFa8N3VmCT/TFoFq5M1AAAwKljr7ztXnqo0/BQwTNmu7L4zPMyN8FyM +0AvSoAw5ywrQhf+uVlR+t3Ln75wcowoAADoU5d/M/89tlLZiD/O2/vtACbpl +J+MMsQ6ciQd1VmjATdXU4bOrH97+z/xvyvk9jBYAAHKkRfFvxRTg+OvI7u58 +792EOwTOO4RgrflJX2eI8Q7PwmRVV0+uHft/T1qP/eCTTyPDgwO934w4/IeE +4sgTwgxxriCvzjy4IuDV6Zk6nmUkWdEHa7+TGOH78mArm+HjQ78tJvBtlldd +SvyhsI3qdkKYKrLEVC25Z5Ku1nPg3EPaFYy7WtV0NSF09c5vDu9cFbrjWhPN +A3AI/0paEPNmfBHTsgUAwHjI7mzxmo67E981bZ09m8vsHCxMWn7xzJUHXatN +VVv5HQnO3CP989OR1o4ao8j2vE0u//f8v3F842hlqH95WV1l9Y0VjkO0vTKp +s6JF+587PtqX9UCuaLi5761nrN223tE/9L+j9vzy+QdpLPUJUkWcWHvBruBP +0huQn6BJeEXmXa0Sp/7rlSnf13b9qrLm9ORXgi+IaZQc2V81XZrmhacNAADC +QFV3btKYj/5As8umqEyaN3LESJcuRr0y4VNcVy5p0Uanx/edztbsuc9ai0jd +NJlmKPvrP9oezXSyooOi9nJ6jWY2e/h72Ijn3sxs0c1VnBrsHkp+GyVLFX1i +WOOl4NeWXm0he/pSPkheEp7DxNmP6IosulpZdczzuXHf3O+ugI6Kg6LnJpyg +9vQm/auHf0SMeSO53gz3LwHAPJAWfOI6Nl7X+kxR/+uhD/0nvL1l+4G7enOH +quXGzuDXR1j/f/9rZz/Y+qmnBtm/MH7bHbqb+X3vO6qW61FOg1/9D+mmCE6G +qtb8k2tnjPeOSlgV7D/aYbj70qSyx/+PaDInp/XGQmcPXT/sTmX1CW+nOdf7 +zuBoUyWNhp8Y1vjzVKegiw0ks7Cy8ugbQQQPlCyuyAzJ9XeefebxjbL51wD7 +5+ZkU76QQPpXsuK4saOjC2GnDQAEiiTrvRfH7inVmzWar7zt+Nquc1/+qbcM +lj+4dr2y7f7xGYsuN7X9sfqNdXmMHiDU9x2rQa9/GPXJ8vm+wwa9/N6XBb0f +hcjKktas/fLU8YRV268+2rHHzRBruDDBfni4eh3fUfXdzCGDfU/VaJa7Rrjv +YE0ZyyZ9nNmsO5e3Zs92HPv5PTSpdrRU1cn07hYk0QgSkxaud3VZeZtEJLL7 +DpsrMqIx3dv22cf3jK77yTO2vr9Qikf6V4rSPaKX5sGLiwAgVFoyp74g+qpc +d5+r7eYHTmOiz33+WyPuhNJReWzGBxnN8rIDU0Ku6m42kdP3eUfZ/Nvnk58e +5LEpr3sXTVnz3bSJu0rkXZPZpfdeX63ZWsPPsNtVede97r0eyfX3HIYtemR6 +zOK+01F9OmSytw6BYVfxZ1NV87X4FYeKcN4qaPrFx2FcYpXOLhGrVBXl+0XW +Q965rnfbJ45GkJi8ZMcYx7k4jxC9rfZwsrF18yRqNeMrMkJyfdaQp4MePbm0 +/Br4NL3nHZK/6ijf/+qIt68x2TgEAMCISK7PHCH6skzneac9f42Ly7Kze6/U +4e60d1QceXvZ1RaV+MI70889YGbApf35TmfTZf9BT73YsxxvujR11KzumVZe +kvBPUWyP/zR+hn0nw7ZbH7z8yuN9FW6fd7D2O0lbDv2B/wVWybUZI0RfoElV +2ZSbdqVMf0YnikaYmKwo1tU57HeSz8fIn3eYX5ERXRd3f/bxJzX3vxn3nOdx +Gp/vkP2VonSvyJHGzQsAAH5ov73ilVd3lGi//CO/u22MU/B3Xx67mZmer/uW +s7Lx182B45Z3rXmlBZ+4jY76ldkbb1rvs3W258U497eZmFjV0f1Z8eujetbS +HfcPuztrltW4GXZPhv/Yflf9065pZvz4+L8efeog+2sTZ/cd+f0fdx7I6Wmw +qjn/XGq1Vlpdt0uRS7juFI82VfxoJIlJsuaM9Ewim8pp3HcYXREPeW126qXi +NpxSUdYlv/fK1O7li+rBuaB/zE3pdR1n+Vd3topcI1m/PwIAAMcoq497idb9 +qf0ZrLQodsIrM96fGXEor1V3zD/8PcLFeU5SlaL7BdYZLwwNSiP7zFoLTFZ1 +7dQ60f89aeWyICpm49qIef6vjp+96UJNzxNC4/+b4jyje3tEfm/X4+cd3AzV +k+HgZwIjP9u9d+fGjz49/eizbkX9H6lbvAYNeOnj77JKHqK1QlbWpywd+fcn +/kfDE/1dt93VmWtlxZvdPXU/Y0ebKk400sRkf212n0T6wiCN+w6jK+IhK45/ +9f/+/nIU7rewlI0Z25at3vXNkd1rwhIyG5UG/lXXYmbVGO9TNWCEDQBCpT0/ +asK8LEHshStrTr3lvVP9ZNN8Za7no8938DPsu/kjIFRNGWve3qK91EabKrNo +mCRn3YxNtww6NwZR/srqH9ecrGD62hubv2rJnPV6FDzuAICAafttReA23Rep +eUJWmrQ25vDZU7ujulawj9ereBl2T4Z6u29CQFaRvOvA5dreqRJtqkyiySpS +9u5OqzHwzBgk+XfUXT79/8i34lD9lfzOjqkrH7/6AACAEGkviJuxrUgYNx58 +dDNUSm5/F/HiADu/7Sm3W5B/F99wMLm4Qd7ziIE2VWbRVNIHTXIDvz0p9K7W +R17y5ezPCuBpBwCEjbL+YuTKn+sFvB8u/AwBYaBquPLp2rR6k7hDAoBlo2q+ +cfjI7wb773CI8DME+AdrzTv+7U1mL1gCAAAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAACBQFPePzpkYJ+gv9wIEYJI/DkaHvz91nGju4XIBHrABaAN6 +mQ+yirQz+dx/+0Zllt/vwR7+dWL7Zs/XYk3tvmOecjBEJSm6WintWjrc+3zC +G2dqhfzdItCr06T0AkjBWn/fufJUpYHHhBHQUXFkZsivzZ2dbbkRXvOvaZnQ +Keoytk7x3PCnVG0o5DX9gtgUx5WqKfvw8T+rfnnL0xTuO2RysMAsFOxGUZm8 +fvu1JqFNY6AXAQLVC6CNovyb+f+5TeI7ZgiYOHVm4IlqpdpDzd3vtN7ypDkj +2H/vPWltckhsDornLazDuCNJUZ369X8r5V3tEOJ9R683qORgEdPUFVSjqLt2 +6CP/EQ5T9pfxunEDetFDKHoB7JEWxb8Vo+OggrXfSYzwfXmwlc3w8aHfFhvg +k9x2c5m/2ohMWZU40T1e/1htaWFcUHTWjaNHbhONAXnVpcQfCtuoUsDk1ZkH +VwS8Oj3TcEc5/OarWnLPJF2t13LKkd3ZMevNt6ZNmzZ1whBb54DFXxs4DjBp +RfpuP7t+VqPmrdmwPipi4XTfgIVxyWVShgoQ9QaVHCximriCfdK8t3u8l8Yi +FeFF6f0p6GV8vQAekd3Z4jVdx1Ss/c8dH+3LeiBXNNzc99Yz1m5b77CdTbuW +aR5vpIgxeclXPqPmZet6o3aNgoIYn+D1x+8SnE/cUXt++fyDJdTjDZPVVVbf +WOE4BIGTKXHz2wt2BX+S3oBzqmVL5qwJm1A876jqzvna2gWkaHZAlHXJi1+w +en7BRTGTpS5Rb1DKwSKmuSjYqar94d3QzBbWaywDRg3oxYNeAI90TXOTxnz0 +h9Yum6L2cnqNRviHv4eNeO7NTJb7ysrqEz5O3r7By2O27Zwmmrb9fKnuIlBy +I/TDY0S+YSpxarB7aDZd07uuUYrCQZus+VjjpeDXll7VL3Ya9x3lg+Ql4TkU +jcEa0oLsbSd+37ujIiuOd+lv65/eyKwVeL1BLQfzmCavoOL+t+9Nenft/pOn +j5+82cT+oGxDRw3o1Q1KvWiNOIAPpAWfuI4leYBvvbHQ2UPXGVob+f2fdm47 +eGzfkpf7/+1p/7BNR0sfbdph4guzJu0rZfvCQtew83aac71v3aha80+unTHe +OyphVbD/aIfh7kuTyh7nzngUkEbrRq/5WOPPU52CLtK2Du/bHHK76h6aM94d +YuNxtLJ3PClK97gNsPFJa2CYv35v0JIDaQ+bmYK0IRg1oJcARxzAB5Ks914c +u4eotrGmjGWTPs5sJtYck+Ss/qf3ga46kRVtdH769VM1vXsB6nHjEZnH2uKr +NXu249jP72nnhjVcmGA/PFy9AOqo+m7mkMG+p2o0kzTpKOhoqaqT6bWDJFon +fvOlhetdXVbeZtEoOqNAkrVg6ECR1rATpwbaWbkm4PuJMukNunKw7WEczExB +mpCMGtBLaCMO4IWWzKkviL4qx/1wTtV8LX7FoSKyZ3tV/X8DHNy235WrFyoh +LhO+rkD4MV/TLz4O4xKrdB6lu22dd93rnoYl199zGLbokWcyyShQlO8XWQ95 +57reMzdxNILmy0t2jHGcm91KuxUd1adDJnur8XCysXXz7P5nYNhVvGmpLXfZ +MOt/dHenBmX1ST+7Qd6HiT4+ZdUbFKCLaW4K9oFAQapRA3oJa8QB/CC5PnOE +6Msy/ecdrP1O0pZDf1C8adlx/9C4Z0RddxtV/YWls+JzW1FKK7k2Y4ToC93c ++tZt260PXn4lulCzr0c2ypRNuWlXyvQnA6JohM2XFcW6Oof9zuK1c+rVV3t+ +pKO108bej4mU9Skhw+y9EgoJF3vseoMcdDHNTEFqKEcN6CWoEQfwRPvtFa+8 +ukNvE0d+/8edB3J6jCFVzfnnUqvx381RtRacXLts1Z5T589dKnmIeD0hL0kQ +uYTrFpy6bjWPBIrSvePHq18z7UH21ybGIxc/GknzJVlzRnomVbP4/JlyFEgL +o52sHVdpdlZUrfmJoe7OQXGZZB+eou0N1DHNTEEqaIwa0EtIIw7gC2X1cS/R +uj+1vr7TtcpeOvLvT/yPhif6u267i3vbUYkvvO/sYDvgySe6eHLg2I9v0X8Y +poOseLO7p+7Hs111O/iZwMjPdu/dufGjT08/+lhSUf9H6havQQNe+vi7rJKH +tF84xYlG2nzZX5vdJ7HbTSQdBfLarLPxU+z7PTV01uqY2NjoyLBF74dvPZvX +QjHc0PYG8pjmpSAp9EYN6CWUEQfwSnt+1IR5WWzeNVTUpH626Ux5TxViHY03 +dkVlIdZY1ZSx5u0t+Vq7TH2f0w2HWTRMkrNuxqZbSHcTDQNtb6CPCQpqA3qZ +ll4AV7T9tiJwG7NvQqtR1p6Z7Oh3rq5nnaNqvZN+/ucqDs6JkVUk7zpwubZ3 +BdZdt/o7gyxhEk1WkbJ3d1oNN+fYsQRtb3ASExTsA+hlWnoBnNFeEDdjG+Ov +2mNtedumOz/jMNp/9pKoLQfO/tbA2YEVmFzcINd8fV9y+7uIFwfY+W1PuU21 +BUUNs2gq6YMmuaDWXWh7g7uYoGAPoJdp6QVwirL+YuTKn+vhaFcAAADASKia +bxw+8jv3/jsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAwB5M +8sfB6PD3p44TzT1cjvQb8AAXgF6mDigIoENlmt9bUkmKrlZKOzsV9z6f8MaZ +Wsv52i/oZXxMtM/RYtIKAkxR1GVsneK54U9pZ3v+Gq/pF8SGj4GOiiMzQ35t +VjutRXjNv9ZC/ReCRVGZvH77tSYBDQLQiwzh6UUA4j7noCp4wmQUBJiCdWhX +ZXNGsP/ee9La5JDYHATHKmDi1JmBJ6qVauMqd7/TaFYuujkbA0XdtUMf+Y9w +mLK/jNfHftCLHkLRSx+93uCgzxFXBSgIYNKK9N1+dv2sRs1bs2F9VMTC6b4B +C+OSy6QMKwOTV2ceXBHw6vRMLTMpaWFcUHTWjaNHbjOoV6z9TmKE78uDrWyG +jw/9triP9WHbzWX+ar8pZVXiRPd4wsO45VWXEn8obKO6IkHOrMDPWdWSeybp +aj3Byavye7vHe31D5ITNgI6a72ePCc5mYooBevGlF8cjjm6f40Uk0pG6KixK +QQAFqrpzvrZ2ASma52dlXfLiF6yeX3BRzGShhMnqKqtvrHAcomNiKC2I8Qle +f/wuod8zDu1/7vhoX9YDuaLh5r63nrF223rn0QKlawXn8UZXovKSr3xGzcuW +4GbYUXt++fyDJdTjjShnNhDn3F6wK/iT9Aa8M3xVtT+8G5rZYujar6P6zOLx +gx1mM7nvgF786cXtiKPV57gQ9wlFVViegoDBYA1pQfa2E7/vfR6XFce79Lf1 +T29kGAnPtF1yI/TDYxWMfDgUtZfTazQ19PD3sBHPvZmp2aJWVp/wcfL2DV4e +s23nNNG07edL9V3gVeLUYPdQ2lMwUyN7xjl3dXDjpeDXll7tLXbF/W/fm/Tu +2v0nTx8/eZPMC5vepSu/X7frp21jHRndd9SAXjg5G6aX8kHykvAcisZwOuLo +9Dk+JH1CWhXmpSBgJJoz3h1i43G0slcNReketwE2PmkN+r+sas0/uXbGeO+o +hFXB/qMdhrsvTSp7vMxhXFGk0bppvbHQ2eORfS8mvjBr0r5S0kmxa9h5O825 +3ncQ8Jpzd96NP091CrrYwMUqS1Fxau2BopbSL0S49x3Qy7h60TJo5nLE0elz +Nn1CjJkpCBgHSdaCoQNFWqKJUwPtrFwT8J0FsYYLE+yHh6sXEx1V380cMtj3 +VI1mALFYyZBEU/9vU8aySR9nNmOavC7M8ojMI98Bas2e7Tj283vaA4Ztzh0t +VXUyvdplknMP0sL1ri4rbzPZu6KHvOzY2kN3pJ2KMoL7DuhlXL3o3He4HHG0 ++pw8Zid+nxBiZgoCRqEtd9kw639sv9tb8crqk352g7wPE3341tdmXXL9PYdh +i35r6/kfNk/QxNE6Vc3X4lccKqK7TdBD0y8+DuMSq3QepVnlrCjfL7Ie8s51 +vdmccc7ykh1jHOdmt9JuRUf16ZDJ3joEhl3VnglkJd+u/faeeulHct8BvYyq +l4eTja2bJ75ePfA94qhiMtXR3BQkG3EAItrzIx2tnTb2mmUr61NChtl7JRQS +LhX61kDbrQ9efiW6UNrzP4bOY32jYe13krYc+oPxS5uSazNGiL4o09kgYJez +sik37UqZ/vhjnLOsKNbVOez3hwzbQoGseNtEt3+4dTPKof9TA19y9fno9zbd +XwO9jKgX9fMO7yOOPCZzHc1MQcAISAujnawdV2mey1Wt+Ymh7s5BcZlkH72p +a0CzXFOU7h0/Xv3KZg+yvzaxmsf0o8nv/7jzQE5z9+euqub8c6nVdF+5l5ck +iFzCdQuO55wlWXNGeiZVc/d5ZkfF1/98ieR5B/Qykl6U9x3+RxxZTDY6mpmC +AMfIa7POxk+x7/fU0FmrY2JjoyPDFr0fvvVsXguFWF01MPiZwMjPdu/dufGj +T08/+ohPUf9H6havQQNe+vi7rJKHtF/exInWtQBcOvLvT/yPhif6u267S3ca +Uz8FbHb31P1ElN+cZX9tdp/0dQWHXxqguO+AXsbSi/S+I4wRRxiTrY7mpSAg +UPo+8wotmhpVU8aat7fka+1a8JkzJslZN2PTrVa+NopBL9PSSx/0fY42JigI +cE93DezAf/WG72gaZBXJuw5cru1dgfGXs6wiZe/utBpGX4hBC+hlWnrpw0Wf +I44JCgJcopTc/i7ixQF2fttTblNtDxg7mhaYXNwgxzi4CrNoKumDJjmP6y7Q +y7T00oeLPudER1AQAAAAAAAAAAAAAAAAAAAAAAAAAACAJeDtbuqAgqYF6GXZ +gLd7p4l7u4OCnSalIOjVaVJ6AYgAb3cCTMbbHRQkQKAKgl4ECFQvwHDA250e +JuTtDgriIlgFQS9cBKsX8JiOmu9njwlm5FYJ3u58ebtj0or03X52/axGzVuz +YX1UxMLpvgEL45LLpIzGNmFvg4JcKkjc7az/EPTiesQBnNBRfWbx+MEOjFyS +wdudR293Vd05X1u7gBTNDoiyLnnxC1bPL7goRtHboCCHChJflPUfgl5GGHEA +chSV36/b9dO2sUSuYcSAtztetgZ5uysfJC8Jz6FoDNaQFmRvO/H73h0VWXG8 +S39b//RGw/MHBQ1TkPVFWf4h6MWhXgBXKCpOrT1Q1FJK4FYJ3u7G9Xan45Lc +2Zzx7hAbj6OVveNJUbrHbYCNT1qDwfmDgmoMUJA2BF0EeglULwAd8rJjaw/d +kZK5JIO3uzG93encdyRZC4YOFGkNO3FqoJ2VawL+cb1M8gcFe2CvIE1Iugj0 +EqBeADpkJd+u/faeeilBct8Bb3ejert7ONnYunmSebu35S4bZq2xXuxBWX3S +z26Q92Gij0/R9TYXMc1NwT4QKEjVRaCX0PQCECIr3jbR7R9u3Yxy6P/UwJdc +fT76vU3318Db3Yje7tTPO+35kY7WThuLHu88KOtTQobZeyUUEi720PU2FzHN +TEFqKLsI9BKUXgBnULgkg7e7sbzdKe870sJoJ2vHVZqdFVVrfmKou3NQXCbZ +h6foepuLmGamIBU0ugj0EpBeAIdQ3HfA291Y3u6k9x15bdbZ+Cn2/Z4aOmt1 +TGxsdGTYovfDt57No7LCQtjbXMQ0LwVJoddFoJdQ9AL4A7zdTd3bHRQ0LQVB +L9PSC+AC8HY3dW93UNC0FAS9TEsvADng7W7q3u6goGkpCHqZll4AAAAAAAAA +AAAAAAAAAAAAAAAAABgdVXN2wgdBns7DR8/dV/DQJD8vNGNvd1DHXDEDZc2g +CQAxnBq4S0uPHf6tRdUpLz3o9eJUqoOZBQm/3u6gDjn8qsMRhotuBsqaQRMA +bcgM3NG6sWPKdmV3gIe5EZ6Lc+if8yc4jOftDuowx3jqdF8NqQrdkInOAjNQ +1gyaAGhBZeBumBs7rvf6w7yt/z5Aw9CQbXyOMaa3O7fq4ALqUKLbLsQqUInO +IsNuTFxZNQibAPAKlYE7tRs7LoTe61hrftLXGWLCr4yBt3tfOFEHv709/wXq +kOaC3y7EKlCJziJDs1CWqgmA6UBp4E7hxk4Agfc6Ji2/eObKA0VXdbWV35Ho +VRB4u2vDiTqE7QV1KCBqF1IVqEVnnqEZKEvVBMCUoDZwJ3VjJ0XPm0NRmTRv +5IiRLl2MemXCp/m6wxS83XXgRB2i9lqWOsoHyUvCc+g2pg947UKoAh3RmWZo +DspSNKEPrJUFECO//9PObQeP7Vvycv+/Pe0ftuloqca1iZ6BOwlIvdct1Nud +J3W60WsvMWamDpknBa/toiU6jDuS5tBwkwc4B5PkrP6n94EuTWVFG52ffv1U +Te9zO10Dd7LwLL3XcbBEb3f+1OnEby8hZqYO+eyEsKrJo3Xqtouu6DDuiID7 +jhBQ1f83wMGt292v9UaIywTk/kmsvNdxsUBvdx7VIWgvIeamjoeTja2bJ5E6 +6KqaVbsMimnp445cWcAodNw/NO4ZUdd8pqq/sHRWfC5y/yR23ut4WKC3O2/q +ELaXEDNTh2JVjK6qyaIxV4GLDC1LWcAoqFoLTq5dtmrPqfPnLpVwcb4EOu91 +C/R250kdkvYSYmbq0Ljv8Ngu1jHZZGhZygJGQCW+8L6zg+2AJ5/o4smBYz++ +hfybvgi91y3N250fdUjbS4J5qUN93+GxXSxjss3QopQFOEdRk/rZpjPlPRWD +dTTe2BWVhVwP8HZnCaijh3DU4bNdxo9pScoCHKOsPTPZ0e9cXc+aRNV6J/38 +z1XoT5gAb3dWgDo4CEYdHtvFU0yLURbgGKwtb9t052ccRvvPXhK15cDZ3xrQ +7xaBtztbQB1dhKMOn+3iL6YlKAsAAAAAAAAAAAAAAAAAAAAAAAAAgFljBgbr +ZtAEvjCDrjODJgAAxxju6o4WMzBYN6EmgPrIMYMmAAAHIHZ1R+s7bwYG68Ju +AqjPLWbQBAAwGD2HdASu7roY5jsPHvFGBNQ3EoJUHwC4hsghnb2rO6FTPCvf +efCIZ3lRg/4Q1GcDL+oDgOlB5JDO3tWd2Cedje88eMQbcFHWfwjqs4EX9QHA +RMFx0GDv6k7ik87Cd54oQ/CIp3VRltmC+mzgRX0AEDAMHdINd3XvRs8nHV2G +5FiqRzxBhzPMFtQ3JNtueFEfAAQHE4d0BK7unfg+6agypMAyPeJJOpxJtqB+ +X0xGfQAQImg94qlisnGKB494bZh5xJN3OFqluIgJ6mvDTH0AECZoPeLJY7Jz +igePeAKoV7yUHY5WKS5igvoEwPMOYMKgdUgni8nWKR484gmgmnlodDhapbiI +CeoTAPcdwIRB65BOGNMAp3jwiCeAdOah1+FoleIiJqhPANx3ABNG6K7u4BHP +JaC+JasPAHwhfFd38IjnDlDfktUHAF4Qvqs7eMRzB6hvyeoDAAAAAAAAAAAA +AAAAAAAAAAAAAAAABJiBhb0ZNIELzKBbzKAJXGAG3WIGTTApVALrYjOwsDeD +JuhjeJ2YQbcIpAkwZpFjBk0QPB0VR2aG/Nrc2dmWG+E1/xo93xdiFHUZW6d4 +bvhT2tmev8Zr+gWxQaPCDCzseWkCWhW6QVwnoKwBwJjlFjNogsDQ86DHxKkz +A09UK9UnK7r7na5leMoOXszmjGD/vfektckhsTmsDqvUB6GFvV4PGAmETcCF +YxUQ1AkuoCwlXIxZXWDM4sG1sqYCofE9jT8l8KBvu7nMX30gorIqcaJ7fDGj +PiaIKS2MC4rOunH0yG0GFUzSNCoLe3nVpcQfCtuorkXUA2zAz1bVknsm6Wo9 +zgFeVE0wKBejqMC+TkBZ1rkgH7OEWsCY1f99DpU1LYjN3ykh8qDvWjF5vJEi +xuQlX/mMmpctYbJ0IoopLYjxCV5//C4TfyzCplFZ2HfUnl8+/yCNNQlRtmwg +FqK9YFfwJ+kNWmlSNcEwjKKCAXUCyrIF/Zglbh2MWWMqa1qQmb/TAcejRFl9 +wsfJ2zd4ecy2ndNE07afL2VoHYbneyK5EfrhsQpGR1kRNY3Kwl4lTg12D82m +a1zP3qWIVrZqsMZLwa8tVZtYPvpliib0QfkgeUl4Dt3G9IFjFQypE1BWDUpl +0WvRCWOWtbIWBoHxPUMPerUd8qR9peTlxruvPTFdQ9DbaY6WkyTv2WKNP091 +CrrYwGJHmuy0fF7bZXid6MckB5TtgYsxi986Y0UzM2UtChLjeyYe9OoS9ojM +o7ybs/W1ZxyNvGn6tGbPdhz7+T3tcmebbUdLVZ1M77LMs5UWrnd1WXmbxRqJ +3KWFPxUQ1IleTApAWYJ28aAF2mhmpqwFQW58j87jnquYjH3tCWn6xcdhXGKV +zu4rq2wV5ftF1kPeua73+M84W3nJjjGOc7Ppv3zZUX06ZLK3Gg8nG1s3z+5/ +BoZd1R3HQlWBi5igLGW7KECrLyirTa+yfcBR1mygNL5H53HPVUzGvvaESK7N +GCH6okzn8Z5dtsqm3LQrZfqjh3G2sqJYV+cwXYtmOlC4UgpVBS5igrLU7SIH +rb6grEVDw/gerQc9FzEZ+9oTIi9JELmE65YLz9lKsuaM9EyqZvEKDI3ZSYgq +cBETlGXfLrKYbPUFZS0Xesb3aD3ouYjJ1NeeBFnxZndP3c8z+c1W9tdm90lf +V+B8IYAS6tlJmCpwEROURT9mDdAXlAXIQetBz0VMlNFUTRlr3t6i/aIjn9li +kpx1MzbdauVim1e4KnARE5QVUkxQFiAHscc9BzERZyirSN514HJt7/qJv2xl +FSl7d6fVMPoaBDeZGDsaJzFBWcHEBGUBErjwuOfT154mmFzcIMc4iM8smkr6 +oEnO0apJ+CqAssbIhI+YoCwAAAAAAAAAAAAAAAAAAAAAAAAAAByD1qzcDKzP +zaAJwoGoM6GTAUDYcGrRjtas3Aysz026CZyWCguIOtOkOxkAzBQyi3Yh+62b +gfW5qTWBrFRYYJzqMrVOBgALgMqi3TC/dVw/dLRm5eDebiyoSoUFRqwuM6gT +AOAXEkNzhlBZtLPyWyfxQ2dhVg7u7TSvLK1I3+1n189q1Lw1G9ZHRSyc7huw +MC65TMqoOoh7m6pUWMQ0VnWZQZ0AAN8QW4QzhdKinY3fOqEfOiuzcnBvp42q +7pyvrV1AimbHSlmXvPgFq+cXXBTTfzQhzp+yVFjENEp1mUGdAAD/kFmEM4Pa +op2F37oGPb8Mdmbl4N5OG6whLcjeduL3vTtgsuJ4l/62/umNhudPXSrMYxqj +usygTnBQPkheEp5DN2kAQAwNQ3P5/Z92bjt4bN+Sl/v/7Wn/sE1HSzVOSvQs +2kng3Q+dGEt0b2/OeHeIjcfRyt6lsqJ0j9sAG5+0BoPzp1UqSBVErBcBJlon +FH4KAMAl1IbmmCRn9T+9D3RVtaxoo/PTr5+q6d0foWvRTpYASz90xtE6wb2d +CknWgqEDRVoTmDg10M7KNQH/QF4m+dMtFYQKkkdDdd8x0TqB+w7AGzQMzVX1 +/w1wcOt23Gu9EeIyAbmnEVpHeHBv14aJe3tb7rJh1hpzxR6U1Sf97AZ5H75P +oDm63uYqJtrqwsO06qS3HjycbGzdPMnqAQA4gJ6hecf9Q+OeEXXdbVT1F5bO +is9F7mmE1hEe3NtZ054f6WjttLHo8R6Osj4lZJi9V0Ih4bIZXW9zFRNtdeFh +onUCzzsAH9A1NFe1Fpxcu2zVnlPnz10q4eKQEJ790AmxNPd2aWG0k7XjKs1O +mKo1PzHU3TkoLrOJ5GLoepurmGj1wsNE6wTuO4DRoW1orhJfeN/ZwXbAk090 +8eTAsR/fQv51bX790EmwIPd2eW3W2fgp9v2eGjprdUxsbHRk2KL3w7eezaMy +u0LY2xzFRKsXLqZZJ3DfAYSKoib1s01nynvGDNbReGNXVBbySgX3dtN1b0fb +G1zE5CJDXaBOAAAZytozkx39ztX1rMpUrXfSz/9chf4sFnBvN133dsS9zUFM +LjLEAeoEANCAteVtm+78jMNo/9lLorYcOPtbA/rDN8C93XTd27nobROoByKg +TgAAAAAAAAAAAAAAAAAAAAAAAAAAAISLqjk74YMgT+fho+fuK+jz5VainwPm +DdQDAJgdKoGNWGnpscO/tag65aUHvV6c2vtlOKKfA2iBegAAgAM6Ko7MDPm1 +WX14ZITX/Gss3Xoeo6jL2DrFc8Of0s72/DVe0y+IDZq5MGW7sjvAw9wIz8U5 +rVQ/BwwG6gEAAI7BxKkzA09UK9WnGrr7na417GSRbpozgv333pPWJofE5jA/ +QBLXof5h3tZ/H8CxfST6OQtwr2v26LUaQT3oxjSsHnCBegAA4UPoYt/ZdnOZ +v/owQmVV4kT3+GIGQ5YwprQwLig668bRI7cZzTKEDvVYa37S1xlivS/WEf38 +EfKqS4k/FLZR5UB4XRbg94mqJfdM0tV6JF/OxaQV6bv97PpZjZq3ZsP6qIiF +030DFsYll0kZzpJErWZfD4QxWdUDccVCPQCASUDs2N61qvV4I0WMyUu+8hk1 +L1tCf3lLHFNaEOMTvP74XWYeZgQO9Zi0/OKZKw8UXaO1rfyOREn180d01J5f +Pv8gjaUvwXVZQdwn7QW7gj9Jb0Dx1XpV3TlfW7uAFM2OlbIuefELVs8vuChm +8mhC1Gr29UAck009EPYk1AMAmAbEju3K6hM+Tt6+wctjtu2cJpq2/XwpXest +Ehd4yY3QD49VsDlGSs/BRFGZNG/kiJEuXYx6ZcKnj09oJPr5I1Ti1GD30Gy6 +JvOIHFtI+qQTa7wU/NpStbGkgWANaUH2thO/790BkxXHu/S39U9vZBgJp9Xs +64E4Jpt6IOpJy6oH5YPkJeE5dJMGAL5g6NiutiietK+UfEpg4QLPNhoqx66u +6dPbaY6WuyPa67LoE6zx56lOQRcbDL3xNGe8O8TG42hl71JZUbrHbYCNT1oD +wzz1W214PRijJ5ljovUAjgaAqcDEsV09zXhE5lHufzB3gWcZDdV9pzV7tuPY +z+9pT1Vsr9vRUlUn02sc8z6RFq53dVl5m9nuox6SrAVDB4q0JjBxaqCdlWsC +/qHGTFqNoB5YKIi2unAx0XqA+w5gMqB1seciJiuHekY0/eLjMC6xSmf3nNV1 +FeX7RdZD3rmut9vBuE/kJTvGOM7N1n/Ht6P6dMhkbx0Cw67izbVtucuGWWsM +KntQVp/0sxvkffg+wcfUXPQ22phcVKw2ploPHk42tm6eZPUAAMIArYs9FzHZ +OdQzQXJtxgjRF2U6WzPsrqtsyk27UqY/8zHuE1lRrKtzmK5tMjPa8yMdrZ02 +Fj3ew1HWp4QMs/dKKCRcNnPR22hjclGx2phoPcDzDmAyoHWx5yImWod6POQl +CSKXcN0hjfa6jPtEkjVnpGdStSGvMEkLo52sHVdpdsJUrfmJoe7OQXGZTSRB +uehtnnuSMSZaD3DfAUwGtC72XMRE61CPi6x4s7un7mfRaK/LtE9kf212n/R1 +Besvbchrs87GT7Hv99TQWatjYmOjI8MWvR++9WwelWEYF73Nb0+ywDTrAe47 +gMnAhe88n57y7FA1Zax5e4v2+7R8tgKT5KybselWq/G36KEe1EA9AACXcOE7 +z5+nvAHIKpJ3Hbhc27vG5a8VsoqUvbvTagx5FZg1UA8aoB4AgBu48J3n01Pe +QDC5uEFjSc9nK1TSB01yXla2UA9aWHw9AAAAAAAAAAAAAAAAAAAAAAAAAAAA +mB2q5uyED4I8nYePnruv4CFG+XPAmKBVAbQWMsZRB7S2SFQCU1paeuzwby2q +TnnpQa8Xp/Z+hY7o54AOnAqKVgXQ2kB40do4NQCYHR0VR2aG/NqsPnIywmv+ +tRbqvyBFUZexdYrnhj+lne35a7ymXxAbNBgwZbuyO8DD3AjPxTmtVD8HyAU1 +jjpoo4HWxPCvtXFqADBx9FzjMXHqzMAT1Ur1WYjufqdrWZxPoxuzOSPYf+89 +aW1ySGwOgkMd1TzM2/rvAzhmkUQ/Z4Fez5goVIIapg5uLyFUgSQaaK2HgLQ2 +Tg2wwFy0NlGIXOPbbi7zVx9hqKxKnOgeX8xIaoKY0sK4oOisG0eP3GZQ6/hO +9D3/1Zqf9HWGWO/reEQ/f4S86lLiD4VtVDkQ9Qwb8Fuhask9k3S1nvXRbIyg +EpSVOiS9RKUCXizQGg1C0do4NfAIy9TaNCFyje9aKHm8kSLG5CVf+Yyaly1h +8rhDFFNaEOMTvP74XSYOZ4RO9Ji0/OKZKw8UXSq3ld+RPC5Gop8/oqP2/PL5 +B2ksmYhawQbCVnS2F+wK/iS9gesv5NMQlI06hL1EpQIuoDUihKG1cWrgEZaq +tQmD4yqirD7h4+TtG7w8ZtvOaaJp28+XMrTYwnMqkdwI/fBYBaPDp4ic6BWV +SfNGjhjp0sWoVyZ8+vhcR6KfP0IlTg12D82ma02PyPeHqBVqsMZLwa8tVdtR +EqN8kLwkPIdu0vghKAVloY4GvV6iUgEf0FqNuWhtnBp4hGlqbf4wdI1XGxtP +2ldKXpi8O9Ezp2tEejvN0fKE5L0VWOPPU52CLjaQFCjdc+/l93/aue3gsX1L +Xu7/t6f9wzYdLZU+uggdQUngvZeYA1qzBG0vsbpKNwxqwES1tgSYuMarK9cj +Mo9yicLWiZ5xtE58J3rGtGbPdhz7+T3tUmbbio6WqjqZXjrMWyEtXO/qsvI2 +SW/TmoswSc7qf3of6Kp8WdFG56dfP1XTu71CV1Cy8KA1aI3wvoO0BkxUa4uA +lWu8UWMydqJnTNMvPg7jEqt0dl1ZtUJRvl9kPeSd63qP9oxbIS/ZMcZxbrb+ +u6Ed1adDJnur8XCysXXz7P5nYNhV3LGoqv9vgINbt69l640QlwkGOMnhA1qD +1kjvOwhrwFS17gOR1iYPO9d4Y8Zk7ETPGMm1GSNEX5TpPLqza4WyKTftSpn+ +yGDcCllRrKtzmK7ZstalaKyBO+4fGveMqGsGUtVfWDorPhe5cxhoDVpzd98x +rAZMVGuLAK1rPBcxGTvRM0ZekiByCdctBZ5bIcmaM9IzqZrk1Rc6c5GqteDk +2mWr9pw6f+5SCRcHiYDWCFphkVozuwqbGjBRrS0CtK7xXMRk6kTPAlnxZndP +3c8q+W2F7K/N7pPId0qo5yKV+ML7zg62A558oosnB479+Bbyr3SD1oa3wjK1 +ZnAVtjVgmlpbBFy41fPpRM8OVVPGmre3aL+HyWcrMEnOuhmbbhm2U6KoSf1s +05nynnGFdTTe2BWVhfwIK9BaH9BaKFcxS63NAi7c6vlzojcAWUXyrgOXa3vX +Rvy1QlaRsnd3Wo0hrwt3rbpqz0x29DtX17NyU7XeST//cxWqg0l6Aa31Aa0F +dBVz09oc4MKtnk8negPB5OIGjZE9n61QSR80yQ1eEWFtedumOz/jMNp/9pKo +LQfO/taA/tketNYHtBbcVcxKawAAAAAAAAAAAAAAAAAAAAAAAAAABAv4wgOM +gIIBAFODU/N3FoAvvMCBggEAgDlk5u8sMI5fvBCiWSpQMAAAMELPx5zK/J1F +TCP6xbMDfOHpAwWDNprZFwwgZEiMy3V+UVqRvtvPrp/VqHlrNqyPilg43Tdg +YVxymZRh+RL5mFOZv7OIaSy/eLJY4Av/GOm9k2vmTZ0waqjDuMXHyml/XxwK +hmY0sysYwGwhtgLXR1V3ztfWLiBFswGhrEte/ILV8wsuipmsNIl8zCnN31nE +NIpfPCngC/8YWfnJPRcq5WrL5h9nPz+i16aEAigYWtHMr2AA84XMClwXrCEt +yN524ve9Gxqy4niX/rb+6Y0Mr4rjc0Ft/s48pjH84smxLF945YPkJeE5REmr +FA81OzuyotjXJn2pa4tCBhSMWRYMAFAblzdnvDvExuNoZe8aRlG6x22AjU9a +g/4vM/Qxp2X+bkRvdGM4rRNjor7wtLyYVS039/5rxq4iKZOUoGDIMdGCAQBK +43JJ1oKhA0ValSVODbSzck3AP4yViY85XfN3tA7vRovWaRm+8NT3HWXzrVOb +lwSM/N/+wxem1OtswkDBWFrBAJYOtXF5W+6yYdYaY70elNUn/ewGeR++T/D5 +IRdu7GhjGiuapfjCezjZ2Lp5UvrCY5Ls1S897Z1cr/MLUDCWVjB9ICsYwCyh +Y1zenh/paO20sejxw7WyPiVkmL1XQiHheoYLN3a0MY0TzWJ84Wnts3XTdnOR +6xs/6X5BBgrGwgoGsGBoGZdLC6OdrB1XaTY2VK35iaHuzkFxmU0kL6xw4cZu +DG90tNEsyBee/L6DSWvK6nvsR+T39k/7UG+fDQrG0goGsFToGJfLa7POxk+x +7/fU0FmrY2JjoyPDFr0fvvVsHpXRERdu7Jx7o6ONZlm+8KT3Hazp1yWjnx0Z +EL7t8PFjRy+W4nztCwrGwgoGANDDhRs7n97oxoxmkb7wUDDssciCAQB9uHBj +588b3djRLNAXHgrGICyvYABABy580vn0RjduNA2W5AsPBYMASyoYAAAAAAAA +AAAAAAAAAAAAAAAAAAAAIYHW3R5tNECYQM0AgAWjMniUonW3RxsN4AKoGQAw +b9D62nfTUXFkZsivzerTTCO85l8jtBSiCVp3e7TRLBOoGQAAGILW114/vDh1 +ZuCJaqX6/EN3v9O1DM9WwcuwG4Tu9mij4WZrZkDNoI1mCTUDCBdarveYtCJ9 +t59dP6tR89ZsWB8VsXC6b8DCuOQynFO2SEHpa0/sRN92c5m/+thCZVXiRPf4 +YkbDlNB9nsrdnlGGlNHkVZcSfyhso+oNwmxZgJ+tqiX3TNLVeiTHbGHtd3/a +uXbDzsM/XC6g6fvcCTVDO5pZ1gxgltB2vVfVnfO1tQtI0exoKOuSF79g9fyC +i2K+fO2Jvd27Vqweb3QlKi/5ymfUvGwJggyp3O2ZZUgVraP2/PL5B2ksa4n6 +kw3E/dlesCv4k/QGA7/03lH744qJPuvS6hhOR1AztKKZZc0A5gpd13usIS3I +3nbi9737D7LieJf+tv7pjQyviMjXntjbXVl9wsfJ2zd4ecy2ndNE07afL6Vr +n0WUIZW7PbMMqaKpxKnB7qHZesZbdLNlB3F/qi2LLwW/tlRtNUmM8kHykvAc +wqRld3aMd3h9H8tDKqFmzLJmAEuHyPX+Mc0Z7w6x8Tha2buAUZTucRtg45PW +gBONT293tQXypH2l5BMS7+7zxHRNgd5Oc7T8HnnPFmv8eapT0MUGkkmE3Hyn +JfNfz/Z3mL0hZtWCyW4ufquTa3WfeqBmLK9mAIuG1PW+B0nWgqEDRVplJU4N +tLNyTcA/oJY/J3r1FOIRmUe5vOQvQwpas2c7jv38nvZ0wzbbjpaqOpneZZln +Ky1c7+qy8jZJr5Led6SFG5wGaQ7RV9aeeXPIs2/rT0hQM5ZWMwBA6Hqvpi13 +2TBrjdlgD8rqk352g7wP3yfYrReqE73wM2z6xcdhXGKVzu2fVbaK8v0i6yHv +XNfbfmGcrbxkxxjHudn67+92VJ8OmeytxsPJxtbNs/ufgWFXtedLaUHUS/bj +NaWF1Z3zHPziCv0JSaiKCD9DU62ZPujVDGAp4Lved9GeH+lo7bSx6PGTtbI+ +JWSYvVdCIeFiRqhO9MLPUHJtxgjRF7qfs7HLVtmUm3alTH/2YpytrCjW1TlM +10hZ61Jkzzuq2tPjh7g9Mg1rzpj8nHOfajKsjURAzQi+ZgCLhdr1Xv3AHO1k +7bhKsw+has1PDHV3DorLbCJ5W0WoTvTCz1BekiByCdcdrjxnK8maM9IzqZpE +cPLPd5S1Z94a4d7zWkHXOvif49YX6C9ZhKqI8DM00ZoBLBVK13t5bdbZ+Cn2 +/Z4aOmt1TGxsdGTYovfDt57NozJ/EqwTvfAzlBVvdvfU/TyZ32xlf212n/R1 +Bdkb0OT3na7/F1/6z79mRmzety9+ZVRiMd4OkmAVEX6GplkzAIAY4TrRcxMT +ZTRVU8aat7dovyvLZ7aYJGfdjE23WrnefheuItzEhJoBALQI2omeg5iIM5RV +JO86cLm2d/3KX7ayipS9u9NqGH1Rhh2CVoSDmFAzAIAQ4TvRCz/DTkwubtCY +1POZrUr6oEluhFWr8BURfoaWVjMAAAAAAAAAAAAAAAAAAAAAAAAAAACCAa27 +PdpogDCBmgEAk8Jwd3u0oHW3RxsN6AFqBgAAhiB2t1fUZWyd4rnhT2lne/4a +r+kXcA6dYwBad3u00SwYqBkAAOij5+2OwN1el+aMYP+996S1ySGxOcwPgcR1 +n0fobo82Gm62ZgbUDNpollAzgHCR3ju5Zt7UCaOGOoxbfKyc4OvImLQifbef +XT+rUfPWbFgfFbFwum/AwrjkMr3z3Cgg8nZn725P6EcvLYwLis66cfTIbUYz +CKH7PJW7PZPcqKPJqy4l/lDYRpU5YbYswM9W1ZJ7JulqPZJjtrD2uz/tXLth +5+EfLhfQ9H3uhJqhHc0sawYwS2TlJ/dcqJSrfYp/nP38iF5PDV1Uded8be0C +UjS7D8q65MUvWD2/4KIYgRO9Ae72xA7v0oIYn+D1x+8y850iyJDK3Z5ZblTR +OmrPL59/kMaylqg/2UDck+0Fu4I/SW8w8EvvHbU/rpjosy6tjuF0BDVDK5pZ +1gxgrqgUDzXP27Ki2Ncmfanr4fEIrCEtyN524ve9uxmy4niX/rb+6Y0Mr4jj +/cHe3Z7E4V1yI/TDYxVsjojSy5DK3Z5ZblTRVOLUYPfQbD3jLbrZsoOkJzux +xkvBry1VW00So3yQvCQ8hzBp2Z0d4x1e38fykEqoGbOsGcDSUbXc3PuvGbuK +pES/0Jzx7hAbj6OVvQsYReketwE2PmkNONGYebsb7m7fDQM/ev7d54npmlC9 +neZo+T3yni3W+PNUpyB9a+q+aZP6ILRk/uvZ/g6zN8SsWjDZzcVvdXKt7lMP +1Izl1Qxg0Sibb53avCRg5P/2H74Qz/etU+3htGDoQJFWWYlTA+2sXBPwD6hl +4u2OwN2+k6EfPcMMDYrGNLfW7NmOYz+/pz3dsM22o6WqTqZ3WebZSgvXu7qs +1Lem7oX0viMt3OA0SHOIvrL2zJtDnn1bf0KCmrG0mgGATkySvfqlp72T63Eq +vS132TBrjdlgD8rqk352g7wP3yfYrUfrRE8Vk6kfPfoM0eXW9IuPw7jEKp3b +P6tsFeX7RdZD3rmut/3COFt5yY4xjnOz9d/f7ag+HTLZW42Hk42tm2f3PwPD +rmrPl9KCqJfsx2tKC6s75zn4xRX6ExLUjKXVTB/0agawFNpuLnJ94yecry20 +50c6WjttLHr8ZK2sTwkZZu+VUEi4mEHrRE8ek7kfPfoM0eUmuTZjhOgL3c/Z +2GWrbMpNu1KmP3sxzlZWFOvqHKZrpKx1KbLnHVXt6fFD3B6ZhjVnTH7OuU81 +GdZGcqBmBFwzgMWCSWvK6nu8MuT39k/7EG+fTVoY7WTtuEqzq6FqzU8MdXcO +istsInlbBa23O1lMNn706DNEl5u8JEHkEq47XHnOVpI1Z6RnUjWJ4OSf7yhr +z7w1wr3ntYKudfA/x60v0F+yQM1YWM0AlgrW9OuS0c+ODAjfdvj4saMXS/W+ +jyOvzTobP8W+31NDZ62OiY2Njgxb9H741rN5VOZPaL3dCWOy9aNHniHC3GTF +m909dT9P5jdb2V+b3Sd9XUH2BjT5fafr/8WX/vOvmRGb9+2LXxmVWIy3gwQ1 +Y2E1AwCIsSx3e7TRVE0Za97eov2uLJ/ZYpKcdTM23WrlevsdaoY9llozANAX +S3O3R9xeWUXyrgOXa3vXr/xlK6tI2bs7rYbNl1oYAjVjEBZZMwDwGEtzt+ei +vZ2YXNygMannM1uV9EGT3AirVqgZBFhYzQAAAAAAAAAAAAAAAAAAAAAAAAAA +AAgJtAb3aKMBAgQKBgBMDZXAhhZag3u00YBOKBgAANjQUXFkZsivzepTSCO8 +5l9rof4LUhR1GVuneG74U9rZnr/Ga/oFnHPnGIDW4B5tNEsFCgYAAMPAxKkz +A09UK9WHFrr7na5leCAKHs0Zwf5770lrk0NicxieANlJYECP0OAebTTcbM0a +KBiDsLyCAQQEiZ+7zi9KK9J3+9n1sxo1b82G9VERC6f7BiyMSy7TO9KN5eXa +bi7zV581qKxKnOgeX8xgbBHGlBbGBUVn3Th65DajSYTQgJ7K4J5JbtTR5FX/ +P3tvHxdVtfb/n36v4933KL8fEcTJ+2iZUYJ0IKVOcFAQJFKkNLXSbnwiT6aA +aSmaJSqdJB/wIbVjmmaiqJmmh/uAEl8rQgW0MMUgDEEURB4EBmQemBl+DKDA +zF77adae2TN83n/xGmauda3rutbaa6/Zsz6nkr4paOLynOitCJi91TXkHUk+ +XW32SVvKqweXTBs3cuiAgc/O3neN74ErKBi+1uyuYIDdQlZIN0VXdSzY2WVM +aucGhLYqZfajDo/MOFlDQ9q+bdHq93ybaXXxZ0FDp+UoaNhUXl4VFLF8/+/C +pKcIAvRcAvfCfOOy1lJ5fMH0nTxWtgRvRUGOZPPlTRHvZdSa87t31bWDW07c +UBsUsf895ZHBXeotIl1CwfTA/goG2C9sCunG6GvTw12dR33dtaGhKkrw7Osc +mnHb/Oa0FQeC3AODIxasWrdxvM/49cdL+GpesXRBcS7qrX1lYk6JMhEo4RK4 +F+YblzVdTVqEb1SOifYWX2/FwVYM+tunIp6ba1CbJKO9lTInJpfktE5zp3Nn +R1UY/9zofxmrxQh0CQXTHXssGNA74NJzr898tb+T394bXWsYTckW735OQem1 +pm8WKMhu0C0eva2EfcRTlaS3vgA9mbY5NdB9ag/JR6t7q7/97Tj3cFN16u5u +c0ghdDTdcH7r/0zcVKg0zyUUTHfsuWCAXcOp567InjHgAZ8elVWTFubi4JXI +fEatEEF2wyziF3uJc01IUZKe3ZqIBSFF3xpzprgN/+RqzxlHrLctDeVVKpNm +hXurLFju5fmOqTp1F9zTiLb+50MfzRkz5P/t+9gsE4VBFAwKBvQuuPXcm/Lm +DXLs1BvsQFtxMMTlwcDd1wnfH9KVtpfCpigBegv4Vvd90MBnk8qN5mVR3mqu +bfdx7P/KWZPNDMHeqos3DHN7Pcf0Ed6WisORLwQa8HN3cvb2b/8zLPo0ccrU +K3IWP/HnwJRqozegYFAwoPfAR8+9OT/WzdF9ZeG9m2ttdWrkINeAxALieoau +tL0UNsUJ0Evvm+LMxME+nxp/ASLOW21dXvoPpaYTmGBvVYXxXh7RxlrKPZri +vXxtOv+G1/P/Mf6BDAoGBQN6C7z03JUFce6Obos6NzZ0jflJUb4e4auz6lge +WKErbS+FTSsL0BNRFyf6eMYYj1gre6vInjrEP7mCJeHs04heebO0ukOVRX11 ++/i3TPbZUDAoGNA74KPnrq7MPpow1rXP/QMmL14VHx8XG/3GzJi1Ry9x6T/R +lbaXwqZ1BehZUBV95Otv/JWydb1V/faR7+jPy9h+k8E6jejrfpzz9H8PGROz +bvf+fXtPljD87AsFg4IBwEzoyrtLYVO+1nR1mUteXtPzcVlreqtX5L4/8cOf +GyXdgUfBiKdXFgwAplCWj5fAppyttarKUjbt+K6yawlrPW9VZalbN6ffFPO7 +Fqlcso5NOVvrhQUDgBFSyMfLWeBeiv626tU1tZ069db0Vqe8VaeWeuGKgqFA +byoYAAAAAAAAAAAAAAAAAAAAAACQGXQF7knW6LbSq0CCbA6kDMgMnczqg67A +Pcka3VYkBQmSeYKkxvwCQMqADGgp2zMp8sd6wxGk8wOmnyHqAPFEU5W5dqz/ +il+Vrc35SwImnDA+DUwYdAXuSdbotkIbJEjmCeoB3fC2Q7kAkDJgcUzk3fU1 +aZPCDlRoDYcW+oYcruSvH0m0WZ8ZEbr1qrIyJTI+V/ipkowC9BQF7lms0W1F +HEgQizU5JMgUuuE1NU+/ANrpzSnrtbDouRu9UVmWsTnEpY/D0GlLVixfOn/W +hOAxs1anlDIctMXeIEHeven8vFDDWYPa8qRRvglFggqEYFNZsDo8Lvvc3j0X +BY06ogA9l8A9ky1yeEnWRLRCpuXm11OGRfAWomxvHwlit0YvQRKPKVHhJQdE +ggKwvZQBKpAV0k3RVR0LdnYZk9p5x66tSpn9qMMjM07WCFn4kOTd29ZQfs+3 +mVYXfxY0dFqOgoZN5eVVQRHL9//OT2OYwxqXwD0jxPCSrIlqhUhLxZHZIx4a +OEXIdQcJYrVGN0HSjikx4SVPCBIUgE2mDJgPm0K6Mfra9HBX51Ffd91fq4oS +PPs6h2bcFtgqg/yHtuJAkHtgcMSCVes2jvcZv/54iUCNLyZJEcW5qLf2lYk5 +JcrEGpfAPTOk8JKsiWuF2PqNr9/f9J91w90EXXcMIEHmJ0h7K2VOTC5H4CUd +U2LCS54Q6BeA7FIGrAGXnnt95qv9nfz23uhaL2hKtnj3cwpKrzV9s0B5d4Nu +8ehtJexDxIKS8ZYQoJcYTdmhZTsKG0o+9WG87iBBEieI1yH/Uo4pDgQGRG4F +YOohsEU49dwV2TMGPODTPcn6mrQwFwevROYzaoXIuxuK2i/2EudSxGIC93St +tfIIL2XUpfuW7bqibNWUEq47SJDECeJz3ZFyTHEjJCCyKwATD4ENwq3n3pQ3 +b5Bjp95gB9qKgyEuDwbuvk6QdqIrRi+FTUtZ4xFevnRp03fDRJteVfzlsi+v +GtaGLNcdJEjaBPm5Ozl7+zMnqANrjykpAiJ/D03gN6YAbfjouTfnx7o5uq8s +vHefq61OjRzkGpBYQFwC0RWjl8KmZazxCS9dVEXrRnn/1budoQP73v/AE15B +b19oMn4bEiRlgrjvd6w+pqQIiPw9BLKAl567siDO3dFtUed9tq4xPynK1yN8 +dVYdy8MhdOXdpbBpZQF6S9BS9vnfnmC530GCpEoQ53XH+mNKioDI30Ngffjo +uasrs48mjHXtc/+AyYtXxcfHxUa/MTNm7dFLXPpPdOXdpbBpXQF6i8Bx3UGC +JEsQ63VHHmNKioDI30Ng39CVd5fCppytWQAkyOaQf0Dk7yGwbyjLx0tgU87W +LAASZHPIPyDy9xDYMVLIx8tZ4F6K/koKEmRzyD8g8vcQAAAAAAAAAAAAAAAA +AAAAAAB4AFV3mwMpkzlIELBroOpuAcwPMl2QMiOQIJknCFgYqLpL0Yr0UA4y +3TJAypAg6q0AGweq7izW5KnqbhIQCkE2xrwy6OUpQ4JYrMkhQcBMWMTKOT8K +VXd2a/RU3fXKsozNIS59HIZOW7Ji+dL5syYEj5m1OqVUKXC+IAVEfJCJYRFV +BvaRMvpjCgkyoxUgP8hy6pxA1Z3VGmVVd13VsWBnlzGpnRsi2qqU2Y86PDLj +ZA2FgJgRZHLixJSBfaRMgjGFBIlvBcgPspw6P6Dqbr6qu/ZWypyYXMYTo7vQ +16aHuzqP+rprg0VVlODZ1zk04zYv/7tgSJn4ILPUj4gyIHkou5SJapcvSJCF +xhSQBQSxcqi6S6zqzkcQubU+89X+Tn57b3Qt8TQlW7z7OQWl15q+WWBAzA9y +O0LCYuMp4w2dMYUECYXXmAIygEWsHKrukqq68xkjiuwZAx7w6T4u9TVpYS4O +XonMZ/UKCQiFILcKD4tNp4yvV3TGFBIkGFx3bAN2sXL5a6bL30MTulTd/dyd +nL392VTdm/LmDXLs1F3sQFtxMMTlwcDd11uEdoGOhrX5YbHplHWDkDLLjiku +m70uQdxjClgbTrFy+Wumy99DMtxrs+b8WDdH95WF97YmtNWpkYNcAxILiGtg +ugFhtykuLLacMm4sPKbYbfa+BOF+R/bwECuXv2a6/D0kwzlGlAVx7o5uizo3 +WnSN+UlRvh7hq7PqWJ7noRsQNptiw2LLKePC4mOKzWZvTBCuO/KGn1i5/DXT +5e8hGdYxoq7MPpow1rXP/QMmL14VHx8XG/3GzJi1Ry9x6WDRDQjRphlhseWU +sWKNMUW02UsThOuOPSB/zXT5e2hheluQbS5lSBAA7MhfM13+HlqY3hZkm0sZ +EgQAC/LXTJe/hxamtwXZ5lKGBAEAAAAAAAAAAAAAAAAAAAAAgE1hGT13qMOL +BgmyOZAyYNeYrzVvGT33XqsOjwRZAPODTBekDFgXukru7VDWmreMnrts1eGR +ICmsSQ/lINMtA6QMWBxj7XXzlNxNzZuvNS9IHd4yqvGWBAliQQ4JMsUkIBSC +bIx5ZYCUAYHolWUZm0Nc+jgMnbZkxfKl82dNCB4za3VKqVJg8RG010UpuZO1 +18VrzYtQh7eMarwgWOxzfhQJYvWcToI6LEk7pswIMrH7osrAjlIGLI6u6liw +s8uY1M67a21VyuxHHR6ZcbJGyDKKpA4vRsmdrAsvXmtesDq8ZVTjBUKODCdI +EKvnlBJ0F0nHlPggkxMnpgzsK2XAsuhr08NdnUd93XW3ripK8OzrHJpxW6Al +Jm0OEUruZF148VrzJA8p6Lnz8FycNf72+YIEmZ8g7a2UOTG5CvZ2JB1T4oPM +Uj8iyoDkoexSBuRIfear/Z389t7oWi9oSrZ493MKSq81fbNVtdfN15oXr6tl +nucSQLCPBInynD+8jtmXckyZH+R2hHTfxlMGZIgie8aAB3y6J1Nfkxbm4uCV +yHyArPW01ylozVMbIxZXjTdunWwfCRLuuQD4XHekHFMUgtwqvPs2nTIgP5ry +5g1y7BQD7EBbcTDE5cHA3ddbmD8hf+11KfTrJfa8Sx2+G0R1eHb7SJAEnncl +yM/dydnbny1B1h5TXDbFJM6mU8ZnTAFL0pwf6+bovrLw3v2stjo1cpBrQGIB +cUElf+11KfTrLeM5HzjtI0HSec7nfsfqY4rdprju23LKgNxQFsS5O7ot6rxr +1zXmJ0X5eoSvzqpjeThE/trrUujXW8ZzbnjYR4Kk85zHdcf6Y4rNptju23LK +gJxQV2YfTRjr2uf+AZMXr4qPj4uNfmNmzNqjl7jEmeSvvS6Ffr1lPOeAn30k +SDrPOa478hhTRJtmdN+WUwbsAflrr1tGz122qvFIkCVboYL8g4yUAesif+11 +y+i5y1Y1HgmyZCtUkH+QkTJgReSvvW4ZPXfZqsYjQZZshQryDzJSBgAAAAAA +AAAAAAAAAAAAAAAAAAAAgATo6nMS3wz393js6de3Xb6j53ydbitAIpBWmYME +AQuik1nulSX7dv/UoGtVl+wMeHxc14/OSa/TbcVuQFplnlYk6K41vSL/SHpZ +dzUF01cY0ZTumh4PUR+boaVsz6TIH+sNh/LOD5h+RpAsGQOaqsy1Y/1X/Kps +bc5fEjDhRI1ZI0qvbda2G7iTN99/dm4j1+t0W7FlkFaZpxUJIljT3PjqnY0X +Grv5b/qKKZrSz8fH5Mgsx+Au+haj7Olr0iaFHajQGk6p9Q05XGn2iU0GDa2I +0K1XlZUpkfG5wg+kNfHQwJ1La/+xo9h0zUN6XRx0rVkVpFUqa5RAgsjW7lz8 +5/QveojFmb5iREvZlxPmmn3xBszom68kzQ9+8iEHp8dGRH1ZJESOQ6+uyNq5 +cMwzE7J6nkPbdH5eqOEQWW150ijfhCIBpUR0RlmwOjwu+9zePRcFVT/Jw1Z9 +Y37y55k1Jj+IJr0uxmdR1gTZN3qjsixjc4hLH4eh05asWL50/qwJwWNmrU4p +VQqaL8jNIa3irZFpufn1lGERORya2bwcQ4JYrCkvr3oxoVDJ+koPtDeSJ/7j +RyonbAMTmn/d8Pa27FtqTe35bS897Oi99grvc5H0qqobFecWuvU3Ov+8bbXl +93xqjV5d/FnQ0Gk5Cv7LLrIzbTUSFLF8/+/C9loJHuqV104e+eFW21JH13Tt +ikLL9bo4n0VZE2CfAV3VsWBnlzGpnRsi2qqU2Y86PDLjZA2NFCCt4q0Raak4 +MnvEQwOn8L/uIEEcPpOs1Z0aH9Bz8Ji+0g1txVeTZn1XJ7MvyewFTeV3GTc7 +I3/nQvTgv7yYJejGkkHvSVtxIMg9MDhiwap1G8f7jF9/vITvPRSLM4pzUW/t +KxOjqW7ioeZG8rQhg4d4tjH0qZEf3PvakPS6OJ8FWNPeSpkTk0uYeIQkSF+b +Hu7qPOrrrg0WVVGCZ1/n0IzbvPrC2hzSKt4asZUbX7+/6T/rhrvxv+4gQew+ +k63d+WX+sOdTqrvFxPSVLnSV37wyPaMWlx3paTw3y8Nvu8mOp64x/+CyiSMC +lyYuigh9euBjvnOTS+/dwptedwzS76O3lbCXKqtNNmeEW6OmhEjX525wi1fy +tF+f+Wp/J7+9N7oWjJqSLd79nILSa03fLLA7SKuYyZcVTdmhZTsKG0o+9WG8 +7iBBdH1WFa0e/vQ9gVTmV7oarUqZ8j9mPkgB+KCvy5w3+t0sJt1xfe2Jka6P +xZxu0Le2lH81qf9DwYduds5tJtVlKH+/2EucixYWm+zOCLVGUYGXrs/34Hnd +4bSvyJ4x4AGf7uNPX5MW5uLglch8pryQ7iCttKcgdem+ZbuuKFs1pYTrDhJE +1+e2NZjPE9O6Py9n+so9m9Vp/zM1pYrCgxmAFV39mYSFuwoJd+bdlZgUZ18b +OOiNn5o6/kNH+b2nTQ5nLOahxD63VByOfCHQgJ+7k7O3f/ufYdGnmQcQt/2m +vHmDHDv1gTvQVhwMcXkwcPf1Fgt0RxKbNp3WbpikVVX85bIvrxqW7SzXHSSI +ps8t17Y/M/jlMwq2VzrR1347/dVvaDwPCFjQN19JXrPrF/ITK93z3vTzm08+ +de/mlM51p7tNTmcs5qHUPt+F+36Hj/3m/Fg3R/eVhfe2ILTVqZGDXAMSC4hr +YCm6g7TyQVW0bpT3X73bGTqw7/0PPOEV9PaFJuO3IUEUfdaUbPVxm5rTyPZK +B/rbp2ZNPnwT6j+Sor7+7407cuvbL+66+vxjaRUmuzKGvHeupNtyNWKE4WHN +DlS/fWjGdcfUJg9nBFgzz0Opfb4L13WHl31lQZy7o9uizo0WXWN+UpSvR/jq +rDqW0SNFd5BWgbSUff63J1jud5AgSj6rr6z18Yrt/tiC6SudzWXOnphcjsuO +hLQtiucO+dN9f+jkvr5e6343zV5b3h96OCz2481bN658+4PDd7/W01T/krYm +4MF+T7z7VXbxHYF3pQw2+TnD15rZHkrt811Yrzt87Ksrs48mjHXtc/+AyYtX +xcfHxUa/MTNm7dFLXHqNUnQHaRUIx3UHCaLlc/OlRcMCD93Usb3STsOZt17e +S9qbBhak+32uPG1K4aG1WrEYSKslWxEBEkSxlYasyX9f2uPmxvQVA4qc6PG7 +6D+9CITTnvcNzE9FycOmFB5aqxWLgbRashURIEH0WlFf2TDunZ+aWF8x0HR+ +4Uv/4ngcHVgAreLiV/Mf7+cSsj71ItfOjXVsSuGhtVqxGEirJVsRARJEsxV1 +8b+mfHy5mfUVA3fyFr+4RYZLEAAAALaErvaHD5alV2vZXmnnzsVlLyYKOdkO +AAAAMEbfeGn/l+frdWyvdKAsSHhl3W+47AAAAAAAAAAAAAAAAAAAAAAAAAAA +AAAAAKBXoqvPSXwz3N/jsadf33b5joWEn+g2yt+aVToLAJAFqrL0I/kSnLcu +A2ysa8qSfbt/atC1qkt2Bjw+jo8KqOwaZbKmV+QfSS8z/mEC/3cCAOwLfeOF +je8cumGPRwLZXtf02mZt+0XyTt58/9lMWoSyb5TZmubGV+9svNCoF/dOAIBd +obn2xfR/XrxjbTekgELX9C3Wmf/uXFr7jx3F0i37GftFt1Fja3cu/nP6F4wH +7fJ/JwDAHlAWJry06rKS8X8tN7+eMiyCWZujtVVdfirpm4Kme/OXvvlK0vzg +Jx9ycHpsRNSXRcIlcI3QK8syNoe49HEYOm3JiuVL58+aEDxm1uqUUmWXYV1D +3pHk09UErQrmrhm7TWpdXZG1c+GYZyZkmS8dxRwZsvP6xvzkzzNrJDnqkNgv +EY2yZJzJmvLyqhcTCo3zwf+dAAD7QHVlTcAE5h39loojs0c8NJBZE6ql8viC +6Tu7r42bf93w9rbsW2pN7fltLz3s6L32itmnquqqjgU7u4xJremY0LRVKbMf +dXhkxsma7uJJlzdFvJdRyzBdMnXN1G0CelXVjYpzC936U5AsJEeGyXm98trJ +Iz/calvt65quXVFQvvgQ+iWqUWK/SNbqTo0P6FkW/N8JALAX2mb20cPe/oVh +K0pz4+v3N/1n3XA3puuOriYtwjeqxz80ld9l3OycKO5ciB78lxezGsx0Tl+b +Hu7qPOrrynuXGVVRgmdf59CM293fdftUxHNzTzcY38AwdI3BbTYoSbSzRcbE +ec2N5GlDBg/xbGPoUyM/MBXBpYBJv8Q1SuoX2dqdX+YPez6lmkdnjd/JgPZW +ypyYXL65BADIBuXl97yGJ5gevK0pO7RsR2FDyac+TNcdbcWBQPepZ4ljvvHc +LA+/7WZv0NdnvtrfyW/vja7Vt6Zki3c/p6D02u5v09/+dpx7+Mlao0nKtGsM +busa8w8umzgicGnioojQpwc+5js3ufTeJwRfd1ittWMSGYLz5mL1fjGiKlo9 +/Om4Ah77ZzzeySrPDQCQL4rs1x4fvsVY3k5dum/ZrivKVk0p83WnMWeK2/BP +rhJmGX1d5rzR72bVmzuVKrJnDHjAp8ckXZMW5uLglWiki6QsWO7l+c7FZuOP +G3eN0W197YmRro/FGG45Wsq/mtT/oeBDNzsvdKzzc0tDeZXKpIss1lqZI8Ps +vPmI7Zdga638M962bPB5Yhqf5+V4vBPXHQBslIascY/6fHatx3fbquIvl315 +1bCeJV136r4PGvhsUjnjtwC6+jMJC3cVMj9V0FJxOPKFQCPCok8zzVhNefMG +Of51/e9d1xhtxcEQlwcDd183+ipeXbxhmNvrOUaTlGnXmN3uLp6uOPvawEFv +3NWeZZmfNde2+zj2f8X0lo9sjRAZZudZ4BtDUf0iIrhfjK5f2/7M4JfP8Ngb +I7+zq/t+7k7O3v5sJQQAkCOKs5MG+/yrtPstgKpo3Sjvv3q3M3Rg3/sfeMIr +6O0LPWTAFWcmDvb5tNT0fkfffCV5za5faPxMszk/1s3RfWXhvf0cbXVq5CDX +gMQCk1sDVWG8l0f0BaMvqUy7xux29xm16ec3n3zq3vYO2/ysrctL/6HUdK4l +WSNGhtl5Cojrl1BrgjKuKdnq4zaVzzWWxztxvwOAjdJ8ceFTz2wg6Xm3lH3+ +tycY7nfUxYk+njEmc6X6+r837sjtUNHT1ecfS6sQ/0CSsiDO3dFt0aWOi4yu +MT8pytcjfHVWHcNNliJ76hD/5Aqj/5h2jdltw4zaeVvVNtuNGJFwT+9P9duH +ouZnU2sskWF2ngJW7hcT6itrfbxi+Ty2wOOduO4AYKNoK/YH+Lz/K+H7W9J1 +p+2e6CNf/55fI7fdjswd8qf7/tDJfX291v0u8rKjrsw+mjDWtc/9AyYvXhUf +Hxcb/cbMmLVHLzUwT86q3z7yHf15mfHvYBi6xuB2+4z60MNhsR9v3rpx5dsf +HL77hbmm+pe0NQEP9nvi3a+yi++YKNKSYLDGGhmC8xSwbr8Yab60aFjgoZs8 +GuXxTlx3ALBVmvOXjpyWLfhpVF1d5pKX10jylK9A9Irc9yd++DPDsSoMXWNy +u/sOkvkIs0Z23tKeWMRaQ9bkvy/lVTT83wkAsD2afloYts70QWpuVGUpm3Z8 +V2nd00xUZalbN6ffZHaCsWsmbrfPqMStRqEIscbqvEU9sYw19ZUN4975qYn7 +jQLeCQCwRZovr564rlDUoVx6dU2t2prPEemUt+pYHCB0rZvbWsXFr+Y/3s8l +ZH3qRcI2ngCEWeNw3oKeWMaauvhfUz6+zOcehv87AQC2ibb6ZOw731bz3uq3 +Iey4a7aGrvaHD5alV/O4avF/JwDAdtHVn9u954LtiNQIwI67ZkvoGy/t//J8 +PY8FAP93AgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgEXT1OYlvhvt7PPb0 +69su35HRo8lSO2br9sE9EGoALISqLP1Ivtm/YVGW7Nv9U4OuVV2yM+DxcdRP +ZBTvpMSO2bx9cA/bDLVekX8kvUzUkSIAWAd944WN7xy6Yf4pYHpts7b9snAn +b77/bD6qkQJsm+OklI7Zg31wD1sNtebGV+9svCDJ+bEASIDm2hfT/3mRpqzY +nUtr/7GjmOrqS7CT+haGISiBY1LZt4r/4mB01daRZ6jZuHPxn9O/uGbdU3gB +4ImyMOGlVZcZ9HVUv2987dXEKwTlHSL6xvzkzzNryIdn6Zp+PfjB/7w4adqb +8xfOmxo4qO//8yePeI5jR4lOMrSvrsjauXDMMxOyjGTLOB3jZb35StL84Ccf +cnB6bETUl0Xd5USp2Lei/91Ql59K+qagietyQnSVmmO6hrwjyaerJRAfoptK +Xd3pxKjFG7/YvXFR1IYzdTzP8KH8KeXlVS8mFAodrwBYAdWVNQETGLex28b8 +0aN5ws7B0iuvnTzywy2N4epy7YrCdODq6n5c8szDTy08eXcu0Tdd2PD8M4su +sp4tTHbS1ANV1Y2Kcwvd+veUy+R0jB/Nv254e1v2LbWm9vy2lx529F57RU3V +vtX870ZL5fEF03fyWOoTXKXsWPPlTRHvZdRSPwSUYip1NWn/89TYryvb3qq9 +efiFpyJO1PAYNfQ/VXdqfABTRgGQGbqqY6OHvf0LnV02zY3kaUMGD/FsY+hT +Iz9gUOW688uiJxwGzvyxvvtSurlg2/rLbFIqQp1U/fbPnjLN3I7xQ1P5XcbN +znF950L04L+8mNVA0761/O9G27wW4RvFoCDL01X6julvn4p4bu7pBra7L+2t +lDkxuULECSmmUlu+z/8vz35xvX0l1VK20+cvIw9wy5JL8Kk7v8wf9nxKtR3u +egI7Q3n5Pa/hCcbSZ5rqH3e9FTry5TXrd/xuMvB0Dec2Rvx9sOP/+X9dXB9y +vP/+B10fHbHuCq+d8Ob8JU/8nwdDvr1ttpO6xvyDyyaOCFyauCgi9OmBj/nO +TS69938KkyGr/XYaz83y8DOWxKZjn9Jkzg6z/9qKA4HuU892n8HpuioisPrb +345zDz9ZyzKfsklaS53KVsXZV/774XsXyvofx7j+ZWoO5wMJEnxKVbR6+NNx +BdhpA3JHkf3a48O3lJgMufofXnZ7btOxf/1qsoZU3zpz9kbT9f0T3/iurumX +xc+/f4n/6ltxdvLD//XfrMNLVZq8ZNm/Du1PXLT+9N29a0Yn9bUnRro+FmNY +B7eUfzWp/0PBh252LvyozNss9g3/rcucN/rdrHrxa0up/edoneB/Y84Ut+Gf +XKUT6paG8iqVSYSEB1ZZsNzL8x22rVi2647kqbydEejcVdRtV4aHnYO/50ye +BJ/SlGzxeWKa7TyDB3otDVnjHvX57JrxF7dN5990HxZ37JOfbjOOxpYb+ya+ +mVmvLt0xNvK08U4NC82X3n38fqegtBrSGNfe/Gr8qE3F6rbJ4NRrf1/cubXG +7GS7sPKmq+17JYqzrw0c9MZd3WM68zbZfquu/kzCwl2FhG/lzbYvwv+WisOR +LwQaERZ9mnk2Jftf933QwGeTyo32e0S5qrm23cex/ytnTVYuggOrLt4wzO11 +htVKV6/93J2cvf1JvZY2lW2rqf5/Dr97D9LwY9if+d25UP9Uy7Xtzwx++YyQ +7UYArIHi7KTBPv8qNbrfac5f4uk57+jWH6oYN5xbyva8PO90g67mxCsTjt0S +8uCBInv2I3/q/1oG8+XM8M3ouKGT22cqdXHi33w6H3NjdrL7ZNL085tPPnVv +h4H+dae7fX3zleQ1u34x+1e2UvtPgtV/xZmJg30+pRNqbV1e+g+lpjO64MCq +CuO9PKIvsHy/x36/I3Eq2xr3/e9737lc/+LZv/jv5/FNDf1PaUq2+rjxuHgB +YGWaLy586pkNxT2fgVH/vm6Ye8RX/9p3PisjX2F0XdHe/vGjsGcXtC0YlZff +83566Y+CnnhrqTwyfZDj47O/LrvbpL6p8NinB662zwPa8n1/H9qxFm25vtvX +o3NZyuhk+2Ty1/W/G15tG3AjRiT8dnfXXvXbh3znbXVlTtqpoiamLjDbV1// +98YduR191tXnH0urYH1+SLB9gf4LhsP/tsu9j2eM8RRP11XBgVVkTx3in8w2 +KfO47kiYSm1VymtPjWtfgeluHQv/6+upXcLpFv3UlbU+XrHmPtUCgORoK/YH ++Lz/a8+vIpWF8SOfmjhz0vxdlxqNS//OhfmeHlOTyzXtz3FOfHRAeDrbF74M +tFRlbpkX9vdRL017a0Hse8vj1+47X3d3Srn9f8d6TGzfKFBf3XTvfofRScNk +8tDDYbEfb966ceXbHxy++12xpvqXtDUBD/Z74t2vsovvcFwTVUUJz/x/f3py +KdNPgxjsa6tT5w75031/6OS+vl7rfmedqwTaF+y/QHj4ryr6yNff+Dt2uq4K +Dazqt498R39exvYjHu7rjqSpbFuMZa6bt3jTF3s2L4lOzLqttcqnWpsvLRoW +eOgmFMCB7GnOXzpyWrZctoS1Nw+9FLjRcGdT/8Pr/ne/32F2svvmiTlNVvx7 +ycEyhmeZbMQ+bXR1mUteXtNz0UzXVWHW9Irc9yd++LNZJ8BInUqZfKoha/Lf +l+J2B9gCTT8tDFtn/CC19VCVJC9btfvooc1L29Zy91ZuTE62TyYmu28Caan6 +7vD/Zd5fsQn7kqAqS9m047vKrkmPrqtCrKnKUrduTr9p5ukvUqdSHp9SX9kw +7p2f2H4IB4BsaL68euI6jnNqrI6xk1rFxa/mP97PJWR96sUG6r9lt3375qJX +19SqO24x6LoqzJpOeatObeYDHHIPNS3Uxf+a8vFl3O0AG0FbfTL2nW+r5b0t +bBNOAmAldLU/fLAsvdqOr6vA7tDVn9u954LZTwZLi004CYAV0Dde2v/leWFn +KQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA0Kqrz0l8M9zf47GnX992+Y6e +83W6regVv+yMi5k57lmf13dfk+EBBlYCwTcTy3TZMmMHAMGoytKP5Jv30xud +lIWrLNm3+6cGXau6ZGfA4+O6DpgkvU63FZ2i8PQNZWur5uonI58/UmmtX2FI +GmER9IbgW6Wq6XbZMmMHAIHoGy9sfOfQDeFnbLWU7ZkU+WN9a2tT3vyA6Wd6 +CMxpqjLXjvVf8avSIBYUMOEEUUqOn4vaZm27gTt58/1ndyk2kl6n20onmhsp +y9efqbPkzMcWYRFYJimSWLNc8K1f1Xcbo9Nly4wdAIShufbF9H9eZBHtIqGv +SZsUdqBCaxAX8w05bLIuq8+MCN16VVmZEhmfS+kYgzuX1v5jR7HpWXWk1znR +tzA4xmRNU3Vm19uhgweO3V5qub0ergiLwIJJ4USWwZdJVZvVZd6BZXsdAAlR +Fia8tIpRSISLpvPzQg0KXdrypFG+CaZHZisLVofHZZ/bu+eigPGpb76SND/4 +yYccnB4bEfVlUXc1TH1jfvLnmTUmR1yRXmdvR12RtXPhmGcmZBlporFZU1/d +PCKgU0ySHuQuc0VYhE1LJYXdnnyCb4JcqtqA4C4LDqyo9AFgLqorawImiNrc +bVsP+j2fWqNXF38WNHRajrHuadsIvbwqKGL5/t+FHMHb/OuGt7dl31Jras9v +e+lhR++1VzpXe3rltZNHfrilaW3VNV27org3UEivc6BXVd2oOLfQrX9PLU4O +a7rKb16Nymqgu+dP7DJ3hEXYtEhSOJBR8E2QR1V3IrTLAgMrMn0AmIuu6tjo +YW//ImKXTVtxIMg9MDhiwap1G8f7jF9/vKTZaHwozkW9tU+YNJam8ruMm51j +8s6F6MF/eTGrfX9dcyN52pDBQzzbGPrUyA/uaWeRXudF2xTTUwOa2Mr1L18b +/eqy7QcP7z/Ypb1KCVKX+URYuE1LJIUXUgRfeytlTkyuWRqJ8qhqc+qNf2DN +SR8A5qC8/J7XcPIOjvr6fzau27lv25wn+/7Xn0OjP9xbcndDTl9zYvLobSWi +Bb90jfkHl00cEbg0cVFE6NMDH/Odm1za04vGc7M8/IwVnWm2YjJCJUZgl3lF +mG4YLWhNiuBzqGnfA1UNgFVRZL/2+PAtzANNr8hd/LfAHW1jRFW40uPPf++u +DG8YoH6xl8xZI+lrT4x0fSzmdIO+taX8q0n9Hwo+dLNrbaevy5w3+t2senO3 +VVhasfwIFdJlvhGmG0aLWbPadQdVDYC1acga96jPZ9eYvrnUVf/vmIHe639X +GxZpkZ4jPy+j/JVuu7rxpqvtGxCKs68NHPTGPRFgXf2ZhIW7CvnuK4lrheII +bak4HPlCoBFh0aeNJxgpukzXpqWsSRJ8P3cnZ29/UvA7OoGq5g3fqgZAIIqz +kwb7/KuU6X6n5fquZx/2aRuXuuoTcycn5DXSrrbuY6fp5zeffCquoH2/Q998 +JXnNrl8oPaRKasUqK0MpukzXpmWsWe9+B1UNgNVpvrjwqWc2FDP9REDXePng +snmLthw6fuxUsRTHaBjGzl/bV56tmpKtI0YYnl41bL7/e+OO3A5pRl19/rG0 +CvN+ssHcigHVbx9a47pDu8t0bVrCmgEpgs/nuoOqBsDqaCv2B/i8/6vpz3d0 +NSdmegx07vfH+9r44wPD3/2Z+g+a28bOQw+HxX68eevGlW9/cNjw1ai2OnXu +kD/d94dO7uvrte53M38pyNCKAU31L2lrAh7s98S7X2UX37HUGQRSdJmuTcmt +GZAo+NzXHVQ1AHKgOX/pyGnZxs+eam6mffzhkWsd1axvuX1u09Js6gc4dd8r +kA7LtMITKZyha1PO1swFVQ2ATGj6aWHYup4PUmsrj7zgFnKsqmO9pGu8knH8 +23L6B2m0jx3mPT6ba4UnUjhD16acrZkHqhoA+dB8efXEdYXdB6C+6dK6CR4P +D3w6dMqcpWt2HP2plv7hJFrFxa/mP97PJWR96sUGyX4pbZlWrOgMXZtytmY2 +qGoAZIS2+mTsO99WYzcYAACAhdDVn9u95wKlRzwBAAAAAAAAAAAAAAAAAAAA +AAAAAAAAAAAAAAAAAEnQ1eckvhnu7/HY069vu2z2EZcka3RbAVKDqgBAGnQo +9NZWZcm+3T816FrVJTsDHh/HQ2ZTlDW6rUgKqqIVVQEATVrK9kyK/LG+tbUp +b37A9DMNZprTVGWuHeu/4ldla3P+koAJJ2psb87Sa5u17V7fyZvvPzvXzIOV +SdbotkIbVIUxqAoAqKGvSZsUdqBCa5C18g05XEnhUJ/6zIjQrVeVlSmR8bk0 +jmrQt1hnlrpzae0/dhSLOOCS0WGSNdGtSAmqgkgvrgrQe9AryzI2h7j0cRg6 +bcmK5Uvnz5oQPGbW6pRSpaBRp2++kjQ/+MmHHJweGxH1ZVE3QeCm8/NCDdpW +2vKkUb4JRQIqnWhTWbA6PC773N49F0nzi7r8VNI3BU1cXdCrK7J2LhzzzIQs +88W2mL3VNeQdST5dzXCOpb4xP/nzzBphh0MSHSZZE9WKiRFickV/EFVh81UB +gFnoqo4FO7uMSe3cm9BWpcx+1OGRGSdr+C9Cm3/d8Pa27FtqTe35bS897Oi9 +9srdc97b1rN+z7eZVhd/FjR0Wo6Chk3l5VVBEcv3/97M/MGWyuMLpu/ksZbT +q6puVJxb6Nafgsgj2dvmy5si3suo7THI9cprJ4/8cEvTFvyma1cUfCcAgsMk +ayJb4d810R9EVdh8VQBgFvra9HBX51Ffd+11qIoSPPs6h2bc5mtCU/ldxs3O +EXXnQvTgv7yY1blhr604EOQeGByxYNW6jeN9xq8/XsJ3tUy22ao4F/XWvjIN +8+d0NWkRvlE5xnp4JCiJ2rN426q/fSriubmnG+51XHMjedqQwUM82xj61MgP +8gkzJU+HSdYEtKK9lTInJpcQMrausYKqsO2qAEBC6jNf7e/kt/dG18JHU7LF +u59TUHqt6Zt1jfkHl00cEbg0cVFE6NMDH/Odm1zacwnZeG6Wh9/2ax3jX19z +YvLobSWEyUCcTXbaprRA96lnu08wrPYFzzAivNXf/nace/jJWr77U3Qd5gG3 +zHQnhESgKuyxKgCQDkX2jAEP+PQYEDVpYS4OXonMmoj62hMjXR+LMSzUWsq/ +mtT/oeBDN7suWfq6zHmj382q13daOjHZL/YS55pKiE0OGnOmuA3/5GrPyYjF +PuuAbWkor1KZNCvcW2XBci/Pdy7yX1uKdVgkPK87LIlAVdhfVQAgGU158wY5 +/nX9713XGG3FwRCXBwN3XyeIOnYXiFecfW3goDd+aur8l67+TMLCXYX8v3im +b7Pu+6CBzyaVG+1ak+2zDFjNte0+jv1fOWuyOSPYW3XxhmFur+cIeGhVlMNC +aak4HPlCoAE/dydnb//2P8OiTzPP5eyJQFXYX1V0g1gVAIigOT/WzdF9ZZdY +trY6NXKQa0BiAXEZ1r34m35+88mn4gqUhr/1zVeS1+z6RdQjrPRsKs5MHOzz +aanR5gvJPvuA1dblpf9Qajq3CfZWVRjv5RF94Q7vXoh0WCzc9zuciUBV2F1V +ACARyoI4d0e3RZ17HrrG/KQoX4/w1Vl1LE+5GIq/8wZJU7J1xAjD47Bti7fr +/964I7e+/dkEXX3+sbQKng89UbapLk708YwxHszM9g2ofvtQ8IAV7K0ie+oQ +/+QKAY8O0XWYC67rDo9EoCrsrioAkAB1ZfbRhLGufe4fMHnxqvj4uNjoN2bG +rD16qYFjILQV/0MPh8V+vHnrxpVvf3DY8N1m203S3CF/uu8PndzX12vd70Im +GJo2VUUf+fobf9vMYN+ApvqXtDUBD/Z74t2vsovv8H6YV6i3qt8+8h39eRlh +35JvE2Y4zAXrdYdfIlAVdlcVAMiI7jf7crSpq8tc8vKang+I0vVZmDW9Ivf9 +iR/+3Chop0mKIEsKqgJVAYB0tBf/BuaH3WRiU1WWsmnHd5Vdq1u69oVYU5Wl +bt2cfpPPw75im5AFqApUBQASoVVc/Gr+4/1cQtanXuTakLOmzVa9uqZWrZfA +vjBrOuWtOrXQ79QlCYiUoCpQFQAAAAAAAAAAAAAAAAAAAAAAYKdYRoYeYveC +QFLsBqQSyACdzHJvGRl6mYvdIykyTIocML8wkEpgJVrK9kyK/LHecATp/IDp +Z/hpt5DRVGWuHeu/4ldla3P+koAJJ2rMGhuWkaGXn9g9kiLDpAiGbtjboVwY +SCWwCCYi7/qatElhByq0hqMLfUMOV4o4xsPYZn1mROjWq8rKlMj4XFEHTppC +XYZeVmL3SEoHskqKOCQOO4XCYASpBD3RK8syNoe49HEYOm3JiuVL58+aEDxm +1uqUUqXAIiaJvDednxdqOL9QW540yjehSFDyCTaVBavD47LP7d1zUcBIY1a6 +7/gXTRl6WYndIymsPlsiKRKPL8phF18YvSCVgCq6qmPBzi5jUjvv0rVVKbMf +dXhkxskaIYsdkip927rJ7/k20+riz4KGTstR0LCpvLwqKGL5/t+FaPQSle4p +y9DLSuweSWH12UJJkXR8UQ27GYXRO1IJ6KGvTQ93dR71ddc9taoowbOvc2jG +bYGWGERAtBUHgtwDgyMWrFq3cbzP+PXHSwTKfzEJiyjORb21r0zQ4VYkpXtJ +ZOilELvX3kqZE5NrIjYmwhkkhd2aWa0wIOn4ohl2cwrD5lMpenwBkdRnvtrf +yW/vja61gKZki3c/p6D0WtM3CxR5N0gaj95Wwj4srK50LwKLi92zSRUgKVL4 +TAspxxcHAsNufmGY2hSJrMYXkABF9owBD/h0LxN9TVqYi4NXIvO5t0JE3g2F +7Bd7iXMxQ1c4XrjSvRgsLHbPPi6QFCl8poKU44sbIWGnUBgmNsUjq/EFaNOU +N2+QY6eGYQfaioMhLg8G7r5OUKSSQuSdrk3BSveisLDYvZ+7k7O3P0nsHkmR +wmcCXUnpBkNSDFh7fEkRdrtMJfv4AnRpzo91c3RfWXjvHlZbnRo5yDUgsYC4 +7JFC5J2uTcFK96KwrNg9x3oMSZHCZ/Ox+viSIuz2mErc71gSZUGcu6Pbos57 +a11jflKUr0f46qw6lgc/pBB5t7LSvSgsK3bP47qDpFg6KZxYf3xJEXZ7TCWu +O5ZCXZl9NGGsa5/7B0xevCo+Pi42+o2ZMWuPXuLSlJJC5N26SvfisKzYPfd1 +B0mh7rNZyGN8SRF2e0wlrjtyRwqRd2sq3cu7FZ4gKZZsRVLkH3akElgeKUTe +rad0L/dWeIKkWLIVSZF/2JFKYGGkEHm3ptK9vFuxojNIilWQf9iRSgAAAAAA +AAAAAAAAAAAAAACAXQO1d7sBqbRRkDhgU0Dt3YqYH3y6IJU8QeJsNHGAJ1B7 +t2Qr0kM5+HTLA6kkg8TZaOIAT6D23oEdqL2bdEGC4FMuDwNIJRLXgc0lrtfC +IonO+VGovXd8yHpq73plWcbmEJc+DkOnLVmxfOn8WROCx8xanVKqFDgvkLog +QfApl4c9pJL+GETiJGkF0IIss84J1N47P2ZVtXdd1bFgZ5cxqZ0bH9qqlNmP +Ojwy42SNkBUuKZUSBJ9uedhFKiUYg0icFK0AWpBl1vkBtfcOpFB754W+Nj3c +1XnU110bKaqiBM++zqEZtwVaYkgl/eC3Ui0Pm0ml9lbKnJhchbDeiXYYiWO3 +RnsMArMgSKJD7Z1HK9YSUG6tz3y1v5Pf3htdSzZNyRbvfk5B6bWmbxbYBSsE +305TyfuAfTpjEIkDtgKLJDrU3jlbsVbNK7JnDHjAp/to1tekhbk4eCUyn+Er +pAvWCb5dppLndYfSGETigI3ALokOtXeuViRRe+8GQe29KW/eIMdOPcYOtBUH +Q1weDNx9vcVyXaAbfLtMpZ+7k7O3P1sqLTsGuWwicbzHIBALpyQ61N7ZW7HW +Wqs5P9bN0X1l4b2tBm11auQg14DEAuJaV4ou0A2+PaaS+37HwmOQ3SYSBySH +hyQ61N7ZWjEghdo7J8qCOHdHt0WdGyq6xvykKF+P8NVZdSzP50jRBbrBt8dU +cl13LD4G2WwicUBq+EmiQ+2d2IoBidTeWVFXZh9NGOva5/4Bkxevio+Pi41+ +Y2bM2qOXuPSxpOgC3eDbYypZrzvWGINEm0gckA1Qe7dkK5Ii/+AjlYwgcZZs +BcgBqL1bshVJkX/wkUpGkDhLtgKsDtTeLdmKpMg/+EglI0icJVsBAAAAAAAA +AAAAAAAAAAAAAAAToPYuQ5AUwAfUCeAH1N5lqPaOpMgwKSzILV/WAnUCyEDt +XYZq70iKDJPCAlu+6AbfhkCdACJQe5ewFbEgKRK2IgFc+aIdfMZAyRbUiQ2i +V5ZlbA5x6eMwdNqSFcuXzp81IXjMrNUppUpBlUfWUofauxSt8HMFSbn7Iask +haV3AuHKF3fw1eWnkr4paOJygRgoETB3X9eQdyT5dDVBq0OQqY5/2X6d9FJ0 +VceCnV3GpHben2urUmY/6vDIjJM1NJTZofYuRSu8QFLufcwqSSHHSiic+eII +fkvl8QXTd/JYkxMCJQpy95svb4p4L6OWf1ztu056Kfra9HBX51Ffd928q4oS +PPs6h2bc5muCrMwOtXdKrWhvpcyJyVUI8AJJ6YEUSRHVO+Fw54s1+LqatAjf +qBy+tUNJy4at+/rbpyKem2sQDjXLlH3USW+lPvPV/k5+e290Xa41JVu8+zkF +pdeavlmgljrU3mnBdpw+ksKjFatKg/Honfr6fzau27lv25wn+/7Xn0OjP9xb +0qlpxi9fZNquWoHuU892v+zQDZSI5OpvfzvOPfxkrfGFp7fXSS9CkT1jwAM+ +PYqiJi3MxcErkfngVyFa6lB7pwa7fBiSwtmKFecT7t7pFbmL/xa4o20QqgpX +evz574dudm2l8c0XicacKW7DP7nac6YWG6iWhvIqlUk/hCdXWbDcy/Odi6ad +6s110ptoyps3yLFTxK8DbcXBEJcHA3dfJ3z1J4WWOtTeCXSpvfu5Ozl7+5PU +3pEUrlYkSUo3GJLSAY/e6ar/d8xA7/ZB2Hgu0nPk52XCvnZnpe77oIHPJpUb +ffsgKlCaa9t9HPu/ctZky05wctXFG4a5vZ7D8PBxr62TXkVzfqybo/vKwnu3 +mdrq1MhBrgGJBcT1lRRa6lB754JDLhlJYW/FWutYfr1rub7r2Yd92q42uuoT +cycn5DXSnJgUZyYO9vm01GhnSlygtHV56T+Umk78gpOrKoz38oi+cMe0id5Z +J70MZUGcu6Pbos6beF1jflKUr0f46qw6lmczpNBSh9o7FzyuO0iKpZPCBd/e +6RovH1w2b9GWQ8ePnSqmfeKKujjRxzPGeIqnGyjByVVkTx3in1zBMM30xjrp +Vagrs48mjHXtc/+AyYtXxcfHxUa/MTNm7dFLXKJKUmipQ+2dC+7rDpLC3IoB +iZLCCu/e6WpOzPQY6Nzvj/e18ccHhr/7M93fvquKPvL1N/4qnm6ghCZX9dtH +vqOZdxN7XZ0AfkDt3ZKt8ARJsWQrNNHcTPv4wyPXOiY+fcvtc5uWZlM+60tX +l7nk5TU9H/S1ZnL1itz3J374M/NuIuoEMAK1d0u2whMkxZKt0ENbeeQFt5Bj +VR1La13jlYzj35ZLcOaKqixl047vKrvueayXXFVZ6tbN6TdJT0KjToApUHu3 +ZCtWdAZJsQj6pkvrJng8PPDp0Clzlq7ZcfSnWopPshk1pa6pVXceSWLF5OqU +t+rUpK+wUCcAAAAAAAAAAAAAAAAAAAAAAFliGTV2utag7d47QXWBXon9abtb +Ro2drjVou9/D/gqSBVQX6DXYuba7ZdTY6VqzIW13CSqErSDtG1QX6C30Fm13 +ujrpvVnb3bgLlCuEqyDFGbVS1YmjN1cX6B30Cm13ETrpIjTf2e1ZT9tdryzL +2Bzi0sdh6LQlK5YvnT9rQvCYWatTSpUC52JCF7grhMkWMbxcBdmJDVSdYFMd +/7Kx6gJAOL1A212UTrpgzXcOrKvtrqs6FuzsMia1cxdMW5Uy+1GHR2acrBFy +M0HKIEeFMELOIGdBGrCBqhNnyiarCwCB2L+2uziddKGa77yQQttdeytlTkwu +RwL0tenhrs6jvu7as1IVJXj2dQ7NuC3Ef6YutHJUCDPkDHIXpE1UnThTsqsu +AMQDbXe6TYi1ZgXBuA7qM1/t7+S390bXwlZTssW7n1NQeq3pm62aQT4FaUtV +Z+PVBYBIoO3OBV3Ndwtru/O57iiyZwx4wKfHNFmTFubi4JXIfGIv3S4ICS+v +grStqrPp6gJAHNB254au5ruFtd393J2cvf3ZtN2b8uYNcuxUX+xAW3EwxOXB +wN3XCbVAtwt0w2tzVWfT1dUNQnUBwAC03bmhq/luWW137vud5vxYN0f3lYX3 +NmS01amRg1wDEguItxV0u0A3vDZXdbZcXQCIA9ruEjQhwpoBKbTdOa87yoI4 +d0e3RZ17V7rG/KQoX4/w1Vl1LAGycgY5sLGqs+XqAkAM0HaXognB1szoPhes +1x11ZfbRhLGufe4fMHnxqvj4uNjoN2bGrD16iUsNy7oZ5MS2qs6WqwsA4UDb +XYomLGvNKsg9IDZVdXIPJgA0gba7FE1Y2ppVsIGA2E7V2UAwAaAGtN0laMKy +1qyCzQTEFqrOZoIJAAAAAAAAAAAAAAAAAAAAAADActDVrydZo9sKsBVQXQDw +Q9ebCpeufj3JGt1WLEyvqge6oLqA3aCpylw71n/Fr8rW5vwlARNO1Jg/L7SU +7ZkU+WO94VjK+QHTzzRwf8JeoKtfT7JGtxXpoVwPElSsbYDqAraMsRR7fWZE +6NarysqUyPhcwUc1MpivSZsUdqBCaziu0DfkcCWVozsY5eNli2j9esZukqyJ +bkVSTLogQT1QrlhUl81UF7BBCFLsyoLV4XHZ5/buuShgDJNl4pvOzws1nFmo +LU8a5ZtQRKpcdfmppG8KmrhaJMrHi4DZZ11D3pHk09XCflpL7r44/XpiN0nW +RLXC3LSyLGNziEsfh6HTlqxYvnT+rAnBY2atTilVCpyLSV3gWQ9MFklB5q5Y +VFcPe9arLtDrISnOKy+vCopYvv93ISJwZMX5tlWt3/OpNXp18WdBQ6flKBiX +ty2VxxdM38ljNUXyWQxkn5svb4p4L6OW/zAjmhKpX0/oJsmayFZI6KqOBTu7 +jEnt3LHSVqXMftThkRkna4TcmpAyxaseGCHni6NiUV09sW51AcAo1aE4F/XW +vjJBR5uRFee1FQeC3AODIxasWrdxvM/49cdLTCVOdDVpEb5ROSaSWwJ8FgHZ +Z4NY8amI5+YatBzNMmWWfr1JN0nWBLSivZUyJyaXI9D62vRwV+dRX3ftgKmK +Ejz7Oodm3BbiP1MX+NUDMyz5Yq1YVBcTUlQXAF1YVXHeIFc8elsJ60WsbSoK +dJ/aQ+nRqj63+33723Hu4SdrjacGEabEOmYtLezW+sxX+zv57b3RtbDVlGzx +7ucUlF5r+maBXeBTD3SDjOqyWHUB0B26UuxCZOIN04xf7CX2NVJjzhS34Z9c +7TmWxPrc0lBepTJZSAqXtlcWLPfyfOeiqefCTbFBNzWc8LnuKLJnDHjAp8c0 +WZMW5uLglch89rGQLvCqB3abrQKDjOqyWHUB0AO6Uux0ZeJbW+u+Dxr4bFK5 +0b6xKJ8117b7OPZ/5azJpopgn9XFG4a5vZ7D8Ngo3e7TTQ2BlorDkS8EGvBz +d3L29m//Myz6NNME1pQ3b5Bjp45lB9qKgyEuDwbuvk74MlyKLtALMqrLctXV +DUJ1gd4EXSl2ujLxbQPizMTBPp+WGu0diPNZW5eX/kOp6dAU7LOqMN7LI9pY +QlmUKVbopoYL7vud5vxYN0f3lYX3NmS01amRg1wDEguINylSdIFekFFdFqsu +AHpgZcV5DtTFiT6eMcaD0Mo+K7KnDvFPrmB4eIdu9+l2kwvO646yIM7d0W1R +506YrjE/KcrXI3x1Vh3LU0xSdIFekFFdFqsuAHpgXcV5TlRFH/n6G39Zal2f +Vb995Dv68zKmnSW63afbTS5YrzvqyuyjCWNd+9w/YPLiVfHxcbHRb8yMWXv0 +EpeumBRdoBhkVJelqguAHshd2F1Xl7nk5TU9H9G0ps96Re77Ez/8uZFxU0Pu +wbQ4UnSBpk1Uly1XF7BdbEDYXVWWsmnHd5Vdq1Lr+awqS926Of0m6VlVGwim +ZZGiC5RtoroAsCw2I+yuV9fUdsrTW9NnnfJWnZr09a3NBNNSSNEFScKC6gIA +AAAAAAAAAAAAAAAAAAAAACA76GrTk6zRbQXYE6hAYJvoUEZioatNT7JGtxUZ +ggoUDSoQ2A4tZXsmRf5Ybzgkcn7A9DMN3J9gRVOVuXas/4pfla3N+UsCJpyo +6S3zCF1tepI1uq3IA1QgHVCBQK6YyKzra9ImhR2o0BoOD/QNOVxJ4SCN+syI +0K1XlZUpkfG5gg8OZYBRGl62iNamZ+wmyZroVuQHKpAyqEAgG0gy603n54Ua +ThDUlieN8k0oElBHRCF4ZcHq8Ljsc3v3XCSNeXX5qaRvCpq4BjNRGl4EzN7q +GvKOJJ+uJhz6L8hUx7/EaNMTu0myJqoVEyPkXhi9UVmWsTnEpY/D0GlLVixf +On/WhOAxs1anlCoFzcXk5lCBvbQCgf1DUpNvW2P6PZ9ao1cXfxY0dFqOgv9i +k6wpr7y8Kihi+f7fCYfpt1QeXzB9J4+VEslnMZC9bb68KeK9jFr+Q4hoSqQ2 +PaGbJGsiW+HdCwZ0VceCnV3GpHbuWGmrUmY/6vDIjJM1NKoFFdhLKxD0Ehhk +OLQVB4LcA4MjFqxat3G8z/j1x0v4Kk2xaMorzkW9ta+McCiVriYtwjcqx0RO +i7/PYmDxtlV/+1TEc3MNOo1mmTJLm96kmyRrAlrR3kqZE5NLCDRbQIzR16aH +uzqP+rprB0xVlODZ1zk04zbf/pGbQwXabwWC3oJAmXWDFPHobSXsCu5UheDb +pplA96k9VBzpSsOL8FZ/+9tx7uEna42HPdWOU+4mD/joXLfD1Yv6zFf7O/nt +vdG1sNWUbPHu5xSUXmv6ZoFBQwUasNMKBL0HITLrhkHvF3uJc8VCUQi+MWeK +2/BPrvYcJ2Kl4VsayqtUJs0K91ZZsNzL852LpnGg2HEzuikSntcdzl4osmcM +eMCnxzRZkxbm4uCVyHz2sZCgoQI7sM8KBL0IKWTW6QnB130fNPDZpHKjPWFR +Pmuubfdx7P/KWZMNE8Heqos3DHN7PYfhkVB6HRfdTaG0VByOfKFd9t7P3cnZ +27/9z7Do08yTE3cvmvLmDXLs1LHsQFtxMMTlwcDd1wlfhtMNGm2bqEDLVWA3 +iBUI7AMpZNbpCcErzkwc7PNpqdG+gDiftXV56T+Umg47wd6qCuO9PKKN5ZHp +dlx8N8XCfb/DpxfN+bFuju4rC+9tyGirUyMHuQYkFhBvUugGjbZNVKDFKhD0 +IqSQWacnBK8uTvTxjDEeYHR9FuytInvqEP/kCoYHc+h1nH43ueC67vDqhbIg +zt3RbVHnTpiuMT8pytcjfHVWHctTTHSDRtsmKtBiFQh6EVLIrFMUglcVfeTr +b/xFKF2fhXqr+u0j39GflzHtGlHsOPVucsF63eHTC3Vl9tGEsa597h8wefGq ++Pi42Og3ZsasPXqJS1eMbtCo20QFWqoCQS9CCpl1mjZ1dZlLXl7T8/FLawrN +6xW570/88OdGxg0Lazpms6ACUYGgtyGFzDplm6qylE07vqvsWnFaT2heVZa6 +dXP6TdJzqNZzzIZBBaICQa9CCpl1SaTb9eqa2k7peWsKzeuUt+rUpK9mremY +zYIKRAUCAAAAAAAAAAAAAAAAAAAAAAAQC11tepI1uq3YDaSw6BW/7IyLmTnu +WZ/Xd18z+1EvBB8ACdBhLImFrjY9yRrdVkQjtzohhUWnKDx9Q9naqrn6ycjn +j5grdyqT4ANg+7SU7ZkU+WO94ZDI+QHTzxCVWniiqcpcO9Z/xa/K1ub8JQET +TtTIbIaSDLra9CRrdFsRgqzrhCMsmhspy9efqTP3x/rWCz4A9oW+Jm1S2IEK +reHwQN+Qw+YuCQ3UZ0aEbr2qrEyJjM8VdVCksYtM0vCyRbQ2PWM3SdZEtyLW +GQp1YmyTdp20ModFU3Vm19uhgweO3V4qfKNNUFIAsEtYtNfFfrDp/LxQwwmC +2vKkUb4JRQIGE9GmsmB1eFz2ub17LpJmE3X5qaRvCpq43CdKw4uA2VtdQ96R +5NPVhEP/BZnq+JcYbXpiN0nWRLVipjPi64Rok7tOmGyJC7766uYRAV+Q1B34 ++yxt8AGQIWQZd9EfbFu9+j2fWqNXF38WNHRajoL/MpZsU3l5VVDE8v2/Ew7T +b6k8vmD6Th7LRYI0vCjI3jZf3hTxXkYt/3mEaEqkNj2hmyRrIlsxzxkz6oRs +k6NOGBEbfF3lN69GZfFVmxacFADsFjYZd5Ef1FYcCHIPDI5YsGrdxvE+49cf +L+F7D8XijOJc1Fv7ygiHUulq0iJ8o3JM5LQIUJIOYQud/vapiOfmnuY7J5FM +maVNb9JNkjWzWhHrjDl1QrbJXifMCA2+5vqXr41+ddn2g4f3HzzPpu/Ay2dL +BB8AGUPQXhco2m6QIh69rYR96FMVgm+bwALdp/ZQcaQrDS/CW/3tb8e5h5+s +NZ5JqXaccjfNRKAz5teJJfIoAlklBQB5w6K9LkS03TCd+MVe4ly2URSCb8yZ +4jb8k6s9Jwux0vAtDeVVKpNmhXurLFju5fnORdM4UOy4Gd2UBCHOUKgTER2k +G3zL+AyA3cKuvU5XtJ22zbrvgwY+m1RutOMhShpec227j2P/V86abNkJ9lZd +vGGY2+s5DM/F0g2mqG4KpaXicOQLgUaERZ82nqGlcIauTSkqWWKf+QYfANuC +U3udrmg7bZuKMxMH+3xaarQ5Ik4aXluXl/5DqencI9hbVWG8l0e0sTwy3Y6L +76ZESOEMXZtSVLLUPgNgh/DQXqcr2k7bpro40cczxniKpysNL9hbRfbUIf7J +FQxfO9MNJt1umokUzlg5j6KQVVIAkB38tNfpirZTt6kq+sjX3/jbYLrS8EK9 +Vf32ke/oz8uYfttBN5h0u2kmUjhj3TyKQ1ZJAcBGkUJmnaZNXV3mkpfX9HwG +1ZpC83pF7vsTP/y5kXHXxpqOSYzc68RS4ZJVUgCwUaSQWadsU1WWsmnHd5Vd +9zzWE5pXlaVu3Zx+k/QwrvUckxz514llwiWrpABgi0ghsy6JdLteXVPbKT1v +TaF5nfJWnZr0/bQ1HZMY+deJZcIlq6QAAAAAAAAAAAAAAAAAAAAAAACgBF2Z +e5I1y7QCACoQ2B06u6swujL3JGuWacVusL8ysxioQGAXtJTtmRT5Y31ra1Pe +/IDpZ3qI9NDVtbcKdGXuSdYs04otw1ZmIrCDyhQHKhDYA/qatElhByq0hoMN +fUMOVxof8kFb155Rg94C0JW5J1kT3QpjWOj6bElMusNVZiJs2ktligMVCGyZ +pvPzQg2nG2rLk0b5JhSZlBi3rr26/FTSNwVNXIOWqEEvAn3zlaT5wU8+5OD0 +2IioL4s6T5nWNeQdST5dzXB0mgiZe+YmWK2JaIUlLKKsmVgn98LojcqyjM0h +Ln0chk5bsmL50vmzJgSPmbU6pVQpcC4mdYerzETYtIvKFGyq41+2U4EAMNC2 +/PR7PrVGry7+LGjotByFyTqUQ9e+pfL4guk7eayICBr0omj+dcPb27JvqTW1 +57e99LCj99ordw8uab68KeK9jNoeQ0WUzD2xCZI1Ua0QwyLSGu9eMKCrOhbs +7DImtXPHSluVMvtRh0dmnKwRcmtCyjJnmYmwafuVKc6UTVUgAAxoKw4EuQcG +RyxYtW7jeJ/x64+XGC+JWXXtdTVpEb5ROSZiagQoaZRoKr/LuNk5CO9ciB78 +lxez7n1doL99KuK5uQZByLtvFiVzT2qCZE1cK52YhEWANe2tlDkxuYQEsAXK +GH1terir86ivu3bAVEUJnn2dQzNuC+kLU3f4lJlwmzZfmeJMya4CAWBGff0/ +G9ft3LdtzpN9/+vPodEf7i3p1Kpq1yQeva1ErOp823QS6D61h4YnXQ16Vmvt +NJ6b5eHXXSlBf/vbce7hJ2v5zmsimhAB3bB0Q3tj7/PhfJ434upFfear/Z38 +9t7oWthqSrZ493MKSq81fbPA7vAqM6ohsqXKtPEKBIABvSJ38d8Cd7QVrapw +pcef/37oZtceh2E+8Iu9JHox05gzxW34J1d7jgexGvQtDeVVKpOrBYs1w3/r +MueNfjerhzCwsmC5l+c7F/l3SngTYhAbFg54Xnc4e6HInjHgAZ8e02RNWpiL +g1ci8+HLQrrDt8wohsi2KtOmKxAAU3TV/ztmoHe7QmLjuUjPkcyKZSKp+z5o +4LNJ5UZ7v6I06DXXtvs49n/lrMnGCNlaq67+TMLCXYVGWzbq4g3D3F7PEfDo +p+AmRCEqLCRaKg5HvhBowM/dydnbv/3PsOjTzJMTdy+a8uYNcuwU0uxAW3Ew +xOXBwN3XCfVCtTvUbdpYZdp0BXaDWIGgl9FyfdezD/u0XW101SfmTk7IY1Ys +E4nizMTBPp+WGt3/i9Og19blpf9Qajq8SNb0zVeS1+z6xfRRJlVhvJdHtLE4 +NhuCmxCFuLBwwX2/w6cXzfmxbo7uKwvvbbxoq1MjB7kGJBYQb1Kk6A49mzZW +mbZcgQCYomu8fHDZvEVbDh0/dqqY9nkX6uJEH88Y44FEV4Oe2Zr6+r837sit +b98y1NXnH0uruLdSV2RPHeKfXCHgARzBTYiCbljuwnXd4dULZUGcu6Pbos6d +MF1jflKUr0f46qw6liBK0R16Nm2sMm25AgEwRldzYqbHQOd+f7yvjT8+MPzd +n+n+8lhV9JGvv/EXnnQ16BmstS3G5w75031/6OS+vl7rujaIVL995Dta2G6i +0CbEQTcsd2G97vDphboy+2jCWNc+9w+YvHhVfHxcbPQbM2PWHr3EJWwmRXco +2rStyrTlCgSgJ5qbaR9/eORaR3npW26f27Q0m/JJS7q6zCUvr+n5mCVdDXph +1vSK3PcnfvizsN1Eug5btxWLIUV3aNq0qcpEBQJ7QVt55AW3kGNVHQsYXeOV +jOPflktw4oWqLGXTju8qu1aWdDXohVhTlaVu3Zx+U+jzpnQdtm4rFkOK7lC2 +aTuViQoE9oK+6dK6CR4PD3w6dMqcpWt2HP2pluKTbEZNqWtq1Z0/c6eqQS/M +mk55q04t9Cssug5btxWLIUV3JAmRLVQmKhAAAAAAAAAAAAAAAAAAAAAAAIAJ +JP16urr2dK0BWwHVBewXHUpNLCT9erq69nSt2TS9qlZRXcC+aCnbMynyx3rD +QZLzA6afIaq58ERTlbl2rP+KX5WtzflLAiacqOktswNJv56urj1da5IiQSVQ +rlUbAtUFbBkTyXV9TdqksAMVWsNBgr4hhytFHKphbLM+MyJ061VlZUpkfC6N +8w8ZZeJlC0m/XrSuPWP3RVuTFIkrgUKtMhhFddGzBuwSFn12zo8SJNebzs8L +NZwmqC1PGuWbUCSo1gg2lQWrw+Oyz+3dc5E016jLTyV9U9DE5T5RJl4EzKHT +NeQdST5dLezntyxZIOnXi9K1J3ZflDXmJpRlGZtDXPo4DJ22ZMXypfNnTQge +M2t1SqlS4FwsuhKYbBHDy7NWUV282pG+uoB9QJZ654SkON+2cvR7PrVGry7+ +LGjotByFkCUkyaby8qqgiOX7fyccuN9SeXzB9J08VlMk+2Igh6758qaI9zJq ++Q8zoimSfr1IXXtC90VaI6GrOhbs7DImtXMXTFuVMvtRh0dmnKyxQCUwQs4U +r1pFdfHDMtUF7AA2qXc+MEhyaCsOBLkHBkcsWLVu43if8euPlwhUo2KS+VCc +i3prXxnh4CpdTVqEb1SOieSWAPsiYAud/vapiOfmGjQbzTJF0q83S9fepPsC +rGlvpcyJyeUItL42PdzVedTXXXtWqqIEz77OoRm3hfjJ5GorRyUwQ84Un1pF +dQnx25zqAr0Sgj67QMl1g1zx6G0l7BMDVRn3tskj0H1qD6VHujLxIqTt9be/ +HecefrLWeGoQYUoEdLvfDV562fWZr/Z38tt7o2thqynZ4t3PKSi9VmpXBYaX +T62iugQ5DG04IAgWfXYhkuuGoewXe4lzVUNRxr0xZ4rb8E+u9hxLYu23NJRX +qUxiIFzaXlmw3MvznYumcRBuSgwUw9sdPtcdRfaMAQ/49Jgma9LCXBy8EpnP +OKbrqpDw8qpVVJcpElUX6HWw67NTlVynbrPu+6CBzyaVG+0bi7Kvubbdx7H/ +K2dNNlUES9urizcMc3s9h+GxUcGmREE1ZS0VhyNfCDTg5+7k7O3f/mdY9Gmm +Cawpb94gx069yg60FQdDXB4M3H2d8GU43eqiHV5UFwMSVVc3CNUF7AhOfXYp +JNfp2VScmTjY59NSo70Dcfa1dXnpP5SaDk3B0vaqwngvj2hjCWVRpkQhRcr4 +3O8058e6ObqvLLy38aKtTo0c5BqQWEC8raDrKu3woroYkKa6QG+Chz67FJLr +9GyqixN9PGOMByFdnwVL2yuypw7xT65geHhHsClRSJEyHtcdZUGcu6Pbos69 +K11jflKUr0f46qw6lqeYrJwpDlBdvB02YE51gV4DP312KSTXKdpUFX3k62/8 +ZSldn4VK26t++8h39OdlTDtLQk2JQ4qUcVx31JXZRxPGuva5f8Dkxavi4+Ni +o9+YGbP26CUu/TDrZooTVBevVszoPgCMSCG5TtOmri5zyctrej6iSddnYdb0 +itz3J374cyPjpoZl9Ost0woVrJkpPqC6rNQK6OVIIblO2aaqLGXTju8qu1al +dO0LsaYqS926Of0m6VlVy+jXW6YVKlgvU7xBdVmjFdCbkUJyXRIZd726prZT +np6ufWHWdMpbdWrS17eW0a+3TCtUsGamBIHqsmwrAAAAAAAAAAAAAAAAAAAA +AADQ64G6PZAOVBcA/IC6PcvrdFuxCXpVPdAF1QXsBqjbUwTq9kxQrgcJKtY2 +QHUBWwbq9lLTm9XtTVyVoB4oVyyqy2aqC9ggULeHuj1DE8qyjM0hLn0chk5b +smL50vmzJgSPmbU6pVQpcC4mucqzHpgskoLMXbGoLl7tSF9doNcDdXuo2zOi +qzoW7OwyJrVzx0pblTL7UYdHZpysEXJrQsoUr3pghJwvjopFdfHDMtUFANTt +mXy2X3V77a2UOTG5HIHW16aHuzqP+rprB0xVlODZ1zk047YQP5lc5VcPzLDk +i7ViUV1C/DanugDoAur2ULe/Cx8N69b6zFf7O/ntvdG1sNWUbPHu5xSUXmu2 +q3zqgW6QUV2CHIamG6AF1O2hbt8Bn+uOInvGgAd8ekyTNWlhLg5eicxnEwtx +lVc9sNtsFRhkVJcpElUXAD2Auj3U7TvU7f3cnZy9/dnU7Zvy5g1y7NSZ7EBb +cTDE5cHA3dcJX4bTrS4um0KDjOpiQKLq6gahukBvAur2ULdvh/t+pzk/1s3R +fWXhvY0XbXVq5CDXgMQC4k2KFK7SCzKqiwFpqguAHkDdHur27XBed5QFce6O +bos6d8J0jflJUb4e4auz6lieYpLCVXpBRnXxdtiAOdUFQA+gbg91+3ZYrzvq +yuyjCWNd+9w/YPLiVfHxcbHRb8yMWXv0EpfulxSuUgwyqotXK2Z0HwBGoG4P +dXvpkMJVmjZRXVZqBfRyoG4PdXvpkMJVyjZRXdZoBfRmoG4PdXvpkMJVSbqP +6rJsKwAAAAAAAAAAAAAAAAAAAAAAAHhA0qanq1lP1xrgg17xy864mJnjnvV5 +ffc1s58LQz0A0BMdClcsJG16upr1dK1Jgf2VkE5RePqGsrVVc/WTkc8fMVcz +tbfVAwBMtJTtmRT5Y73hkMj5AdPPNHB/ghVNVebasf4rflW2NucvCZhwosbu +piECJG16upr1dK1Rgq2E7KceNDdSlq8/U2fuL/t7QT0AYISJnLq+Jm1S2IEK +reGQQN+Qw+au5gzUZ0aEbr2qrEyJjM+lcbYhowS8bCFp04vWrGfsvmhrEsBV +QvZQD5qqM7veDh08cOz2Uko/wLTfegDgHiQ59abz80INJwVqy5NG+SYUCahc +ohC8smB1eFz2ub17LpJmGXX5qaRvCpq4pg+iBLwImL3VNeQdST5dTTj0X5Cp +jn8RtOlFadYTuy/Kmol1ci8EwlVCdlMP6qubRwR8QZKI4NlEx7/kVw8A0Iek +Jt+2RPV7PrVGry7+LGjotBwF/9sdsqa88vKqoIjl+38nHKbfUnl8wfSdPNZm +JJ/FQPa2+fKmiPcyavkPWqIpkja9SM16QvdFWuPdC8FwlpDd1IOu8ptXo7L4 +SlYLrhMOpK0HACSCQW5DW3EgyD0wOGLBqnUbx/uMX3+8hO+6l0VTXnEu6q19 +ZYRDqXQ1aRG+UTkmclr8fRYDi7et+tunIp6be5rvdEIyRdKmN0uz3qT7Aqxp +b6XMicklBJotIMLgLiFbrwfN9S9fG/3qsu0HD+8/eJ5NJIJXE1arBwCkQqCc +ukGKePS2EnYFd6pC8G2zVKD71B4qjnQl4EV4q7/97Tj38JO1xhceqh0X57DU +Otft8OiF+vp/Nq7buW/bnCf7/tefQ6M/3FvSKR3Gr4RYnLSheqDYhFhrUGoD +8kSInLphzvCLvcS5RqIoBN+YM8Vt+CdXe45AsRLwLQ3lVSqTZoV7qyxY7uX5 +zkXTOFDsOAtiu88Bz+sOdy/0itzFfwvc0TZtqgpXevz574dudm2l8S0hErZV +DyTo1olE9QCAhFCVU+e0KVQIvu77oIHPJpUbbVaI8llzbbuPY/9Xzpps0Qj2 +Vl28YZjb6zkMD6HS6zgbVFPWUnE48oV22Xs/dydnb//2P8OiTzNPezx6oav+ +3zEDvdsFKxvPRXqOZNYwE4mN1QMJunUiUT10g1gPAIhDCjl1ekLwijMTB/t8 +Wmq04yDOZ21dXvoPpaYDWrC3qsJ4L49oY3lkuh1nQ4qU8bnf4deLluu7nn3Y +p+1qo6s+MXdyQh6zhplIbKweSNCtE2nqAQAJkUJOnZ4QvLo40cczxnhI0/VZ +sLeK7KlD/JMrGL4xptdx4Q4bEJ8y7usO317oGi8fXDZv0ZZDx4+dKqZ9EouN +1QO1JkRYM2BOPQAgIVLIqVMUglcVfeTrb/wVK12fhXqr+u0j39HMu0cUOy7M +YTO6fxfW6w7vXuhqTsz0GOjc74/3tfHHB4a/+zPd38TbVj3QakKwNTO6D4AF +kEJOnaZNXV3mkpfX9Hzgk67PwqzpFbnvT/zwZ+bdI8to01umFTFobqZ9/OGR +ax0Tn77l9rlNS7MpnwFmU/VApwnLWgPAAkghp07ZpqosZdOO7yq71rh07Qux +pipL3bo5/SbpCVfLaNNbphXhaCuPvOAWcqyqY2mta7yScfzbcgnOYrGdeqDR +hKWtASA1UsipSyLRrlfX1HZKz9O1L8yaTnmrTk1a2VpGm94yrYhC33Rp3QSP +hwc+HTplztI1O47+VEvxSTajpmygHug0YVlrAAAAAAAAAAAAAAAAAAAAAAAA +ZANdpXs5WwOWR871gOoCto/ONguXrtK9nK1ZGButB7rIuR5surqAraCp+v/b +O9Oopq61j99+cHVdZS2qIKusq60iVhAvDrFv4aIgSK0iVkVt1QtY0PatMjjU +onUWK1QUh6qtdaqK4jxd1guKLKwUEZxQBkEoAhECQmIgQOYc3gQjJGfKOScn +hMN9fp9YJ5v/fvbOs8ezs5+shGlem5/J2qVFa7xn3RCa3y+o+CfmhP/Z1N7e +mh/tHZrDMBKMdWE30n1PVrM8LPuDBTy2u+nJ/sA17wK4Ajqke1NW8JQDL2T1 +KeGx91m4GxMRps0JOCtQ66499PC/WM/KFSC4Yei7AXYj3TNWwy0+u7axBcZU +C/gDyx4L3sUZ7wK6EUTGz9jnb9/HZmTIms0b10aHzfKbGhaXUiWj2VoIQrrL +SuICN+U+OHWigEYbJg433/pw2RTd3Yfq2qRJHvFlRJ6rqM1MulrSaipHwjD0 +DMC3WdOcfzn5biPOjygZRLonrhYmaiTFZ6SGn4VlvYuqP+ApElWmaY8F76Kk +Z3nvAriMpuGan5391FT9noK6IWXJhzYfLLoppDN5JIpoLyve6hu88cxfdMJ9 +EUe0185qPT/VGqqo+M13ZEieBNdCVf31FaFHKMymiGxmArHN0uK9wT9kiIya +GaNI94RZMFIjLD5DNSIs6l2U/AEX4u/LhMeCd1Gje7wL4CyIKD3QwW7Spa49 +CnlZvFtfuykZr2kq4YX8kDyI+PY0n9YlVsQR7dWCs74uPn7BK7bu3DOTN3PX +9UpsCBWNMC3YIyIPE9KLhs0MILZZFww5M/iTpbqYkG8TM4p0T5QFMzU9mOKb +pYaDRb2Lij/gQ/J9kXoseBcduy3uXQB3acr6wrG/56marqmHsnL/6H79fdNF +2MRWjWivi5Q8+WAl6SCm7Yp8XBYYRZK0qs0ddr++Nd0l8KaI6t4SgyyYqlk8 +OpglvYuKP7BbmeBdtNQg9hxAhCR30aD3eEaOLEwLsLdxT8S/5ZbdkO50ws3r +uhnPmELyOVJL3nzncT+/MG4zTG1WNdc2yDHtmY7Nb5CVbHR3W1VAfXZHPwuG +apbuGSzpXZT8gVyznWZlgnfRUoNxByCgNX/ZEFt9xMI3qAXn/O0H+Bx/SXCj +MKsh3VkON9/eLv7Dd/DHSbWofWNGNiurD/FsHefdw2yq0LZZUbF7rPPCPBrH +RtmtFla/MpXgYvhnPigCIu/idVTW9i5TmnQrE7yLlpqFvQvgLNKiGGdbly2l +nUtjdWNq+BAH78QSwukTuyHd2Q03r3X8nCAn3i9VqD0CZjarxfnpd6qwTZC2 +zfLSWHfXSHSIZjLYrRZ2vzLqWN27yDXpVyZ4Fw01WO8ABMhKNrnYOq/W71Vo +WoqSIjxcA+OyxSTnTKwc0d4EiopEnlsUuhFa2WZJ7oIRXskCGod32K0WdotP +Get7F5kmk8oE76KspsOi3gVwE0V97pX4aQ593h009/utsbGbYiIXfxWVcKXQ +VAQp60a0N4m8bLuHF/qlqHVtlj/f7jH5KJ9OJDR2q4Xd4lOiZ3gXoSbTygTv +oqRmRvEBAJeeHiBeI85aM3uH8RFNa9qMSO6vD9r2uIXW5kVPr2SLYQlT2dQE +77KwGgDgwoEA8XJ+yt7Dt+u7ZqXWs1nOTz2wL72O1g+YaGbR3WoWxRKmsqwJ +3mVJNQDAwpkA8YhCKFIgFsiFnppG9kqsoHs2gjOVzDaWMNUixQfvsowaAAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAADdjqYpL/GbQC/XoWMWHixuM/fmKSI1 +dnMBLA14BQBYBg04enu7rPL08UfNmnZF5RHvYdMzxZZRYzcXiwJe0W5Nr0Ak +RZfT+YaxELBPcFFWHQuNhSA6QE9ExT8xJ/zPJt3lxNHeoTnNpv+DFGVDVsI0 +r83PZO3SojXes24IuddnIWqpusPqtvxoryX3aVwkTEeN3VzYBrwCjTW9Qllz +YdWeJ4aXHmCfYFFWHZ0ZRecebACwEIgK5aqIMG1OwFmBWnc5rYf/xXoGFzWh +NZuygqcceCGrTwmPvU/7wmoK+t1FW2HC14cpREw2T43dXJgBXkEd63hFW8GP +ob8b3TuHfYJCxT85a6nZMwbgvxNExs/Y52/fx2ZkyJrNG9dGh83ymxoWl1Il +o9nqEIUg+8jKqeNnZRtfP9v6cNkU3Q216tqkSR7xZbTaE4GmrCQucFPug1Mn +Coj6F0VtZtLVklZTRSCymQmItDwp2u+jgTb9h06IOFmmv99e05x/OfluI86l +jUhLUfLRLCGdn3jjZ0GqxiAXWvma/FfwCo54hax464z4UhnpEyPUNclBX/8J +d00DDNE0XPOzs5+aqt+bUDekLPnQ5oNFN4V0JqGIvKFG8GClsyPq2nPtfNbz +U620ouI335EheRI2NLUNwjd445m/CDaWVfXXV4QeoTBjJNJngvTZ7uUHc18p +lKKHBz9/33Z0Qvnb+6qkxXuDf8gQGTVyRFZ98/KdV9rJpKa1ulxCrZshzIJI +jVEudIpmEvAK7niFOHOmt/FXi31igFpwYU7YbTH39jOBngEiSg90sJt0qWuv +Q14W79bXbkrGa5pKOGGe1IKzvi4+fsErtu7cM5M3c9f1SnrhQ3FDR0keRHx7 +mk+wA6ARpgV7RORhwjjS0GeAsv52Rp2+hbY9iXT6x4zszg0I5HVm8CdLdXGA +3yauSQ4Z4TTCTcvIURM3UHwxS5QFkRqNXNSvUv436j5BlZEVjQrgFR30eK9o +exo99tOURoMvAvukC0391XmhGSIYdgCGNGV94djf81RN1/RKWbl/dL/+vuki +bGJNS9G5dUETfNYmrg6eMmbwUI+lyVWdU0hsa0WEN+ZOPlhJfl8uTU1ytF2a +j8sCo+jBrOqTq3XQ8iDM1dMwRgvy+tZ0l8CblBspgyzMQ11z6tNAKieoCPIF +r+gFXiEvixs3pjNUKP6TLmMaUub/m4unN4AegiR30aD3eEYNQpgWYG/jnoh/ +szkiujHRYWiUbqKmqr0wx3Gg3/k6/ZCFaa26DsYzptDkzI2Opgla8uY7j/v5 +hXHbY6qvaq5tkGPaFoma7lNx1rLJ32UbxYOXlWx0d1tVQP3AKf0szILiuEOS +L3gF571CO9vkDQ8xPEeHfdKZV2PavxekNEAwN4AhrfnLhtjqo9S+QS04528/ +wOf4S4IIhoZhniT3vhw8ZPGj1jefMN+dYE9T/Ifv4I+TalF744z0ldWHeLaO +8+5hNmeI1do1TTnxK4+VoraNFBW7xzovpHPilHYWTFAJLoZ/5qPD06W/3Wiv +jj8DIu/id13k+YJXcN0rVNWHxjvNzpGQPdGDiG6FfnGVySFEANAhLYpxtnXZ +Utq5YFc3poYPcfBOLCGchhk6f+vjbz4a1bkSZ6eHMU9TkhPkxPulCrXXwExf +Lc5Pv1OFbcpEaoi0PHnHsafY41Ty0lh318gnbVQLwSALszC93jGZL3gF171C +WXmA57wgr4XsyRuQ15lhcy/WQbQdgCGykk0uts6r9XsempaipAgP18C4bDGJ +T+mcX79A0jrmhAm647BvkD/fZkYPw46moiKR5xaFbszs2oyvpnj5nz2H7zd1 +TAI1TUXX0gSda0hJ7oIRXskCGg2VdhZmYWrcoZAveAXXvUJRnsBzjzE8zoB9 +ojcja0lQMnrxCACUUNTnXomf5tDn3UFzv98aG7spJnLxV1EJVwpNRQ3UOv/A +9wNiftp3YM+W5Rsuvn23qWx8mrbDe0C/4d9dyK1oo7kEZ1FTXrbdwwv9cpVd +m3HUtMvEpSP+/s7f9LzT131n19al/Pl2j8lH+QT7lqxkYR6k4w61fMEruO4V +0sLVY33O12nInnTQnPPt7FNEu/AAYBkMF/s9UVMjzloze4fxLI1dm+mpIZL7 +64O2PSa/csS8LHoA4BVc94rm7Ln/WmtUQdgnOiR5kTOPsXaUEgCo0eH8u/EP +u/UQTTk/Ze/h2/VdbYNdfTpqcn7qgX3pdXSbqSUq2aKAV3DcKxTlu6ev6jym +gP9ER+vDlZ//auIMPACwi1pScCF6WD97/12pBaY25Kyp2Y4ohCIFYgF9emoa +2Suxgu7rXotUiCUBr+C8Vygqfp3/U7GU9ImOtvzvZ+zn0HwIAAAA6IloRHc2 +rEtvVJM96aCtYN2MRHrX6QEAAACAMUhL4ZmTD5s0ZE/eICuJn7fzOQw7AAAA +AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAvQtNU17iN4FerkPHLDxY3NZN +Ma3YzZS6mlUKCwBAj0DOT79cxPK99j0EjhVNVnn6+KNmTbui8oj3sOlUwm/2 +uEzx1BBJ0eV0Pvo3F9RTAgDQu0BanuxZdb6mN952xL2iIWqpumOQbMuP9lqC +F2axx2eKr6asubBqzxPjKyippwQAoFehrP499McCGoGfuAMLRUNU1un/2goT +vj5cYblpP2652M0UrdZW8GPo77h3CFNPCQBAb0BWGv/51mIZ7mequkvzxwbn +YWPMdqCozUy6WtLa2X8h0vKkaL+PBtr0Hzoh4mSZ2TGQERk/Y5+/fR+bkSFr +Nm9cGx02y29qWFxKlaxLWNOcfzn5biNBGA78oqHNJspdIcg+snLq+FnZDIKF +obVwa4bYeKSlKPloltAit3ESlotBpiTfOJ6arHjrjPhS9PdBPSUAAL0DefkO +71n4O/oqweUlEwYOno877qjqr68IPWI4N5Y+2738YO4rhVL08ODn79uOTig3 ++8JYTcM1Pzv7qalC/e29DSlLPrT5YNFNoWFcqOK9wT9kiHC6S7yiYc0mAJE3 +1AgerHR2ZBSk0hjimsEzHpFV37x855V2tq9prS6XsDz4EJSLUaaE5SJSE2fO +9DZ2C+opAQDoLWh79sljlz/F2YpS1lxav/f/do5zxht3NMK0YI8Iow+U9bcz +6vQdRduTSKd/zMhuNtM4RJQe6GA36VJ95zAjL4t362s3JeO1YarXmcGfLL3b +jF7A4BQNx2wyyALc04CsZjDGK2uSQ0Y4jXDTMnLUxA3Y+L4sgCkXs0yJykWs +1vY0euynKY0UCotOCQBA70FW/IP7uHjsneJK/vl1h0ubK3/h4Y07asFZH5cF +9wj775YHYa6e6IC+9GnK+sKxv+epmq7Zt7Jy/+h+/X3TRYbJkNe3prsE3hSh +Oils0XDM1rQUnVsXNMFnbeLq4CljBg/1WJpc1fkftMcdUrUOMDVDYLy5WL1c +uMjL4saN2VRCYf+MekoAALiGJPfLYeP2oyP3KapOrztWLmtXVuGPOy15853H +/fyCoJdBxFnLJn+X3WRuVyrJXTToPZ5RJy1MC7C3cU9EhXySlWx0d1tVIEX/ +O7pouGYjohsTHYZG6ZYcqtoLcxwH+p2v0w90pP2zqrm2QY4pIolaO37N4Btv +PkzLRVutnfo3rp028IaHUDkvRz0lAABcozl7+oe836qN3m3LK06uO/lCN58l +GnfEf/gO/jipFvctgKYpJ37lsVL8UwUqwcXwz3xQBETexeuxWvOXDbH9566/ +usYYteCcv/0An+MvUa/iFRW7xzovzEN1Utii4ZttGC9ecu/LwUMWvw2rS9I/ +K6sP8Wwd52GXfMRqBDWDbzwJVOuQUbkIoV0uXNOrD413mp1DYZ+TekoAALiG +5N4cJ96vVYZLAHnZzkmj/zm6g5GD+7773nB33+VPjCKcS3KCnHi/VGHXO4i0 +PHnHsads/ExTWhTjbOuypbRzP0fdmBo+xME7sQSzNJCXxrq7Rj5BvaTCFg3f +bMMetfXxNx+N6tzeIeuf1eL89DtV2L6WSI2wZvCNZwFm5aKrRusbV1Ye4Dkv +oDLGUk8JAADXkBasHDV+N1GochX/6P8Mx1nvKCoSeW5RmL5S8fI/ew7ffxMg +UNNUdC1NwPxAkqxkk4ut8+rCN4OMpqUoKcLDNTAuW4yzyJLkLhjhlSxAfYIt +Gr7Zuh5Vv6zS9nYTJsR3hjKUP9/GqH/GqpHUDL7xLGDlcuGhKE/gucdQObZA +PSUAAFxDLTjjzVv/jOD9LdG4o10TbffwMn6NrF2OLB3x93f+puedvu47/2I4 +7Cjqc6/ET3Po8+6gud9vjY3dFBO5+KuohCuFzfids/z5do/JR/no38HgFA3H +7I4edeD7ATE/7TuwZ8vyDRffvjBXNj5N2+E9oN/w7y7kVrRhgu0SgaNGWjME +xrOAdcuFi7Rw9Vif83UUMqWeEgAAziEtWjsxJJf2PrpGnLVm9o6eMB9FJPfX +B217jHOtCk7R8Mw23EEyH3pqxMZ3tyXdotacPfdfayk5DfWUAABwj9ZHKwN2 +Yg9Sm0bOT9l7+Ha9dW8zkfNTD+xLr8M3ArdoGLM7elTCrUa60FEjNb5bLeke +NUX57umrHrWaTkgjJQAAXERaHBe0s5TRpVyIQihSWPO3fRrZKzGJAQRFMzBb +LSm4ED2sn73/rtQCgm08GtBTM2F8N1rSPWqKil/n/1RMZQ1DPSUAANxE3Xgz +ZtWtxt64l96Li8Y1NKI7G9alN1IYtainBACAu2iaHhw/8YQ7QWpo0IuLxiWQ +lsIzJx82UZgAUE8JAAAAAAAAAAAAAADAKv8PE2x11Q== + "], {{0, 1241}, {552, 0}}, { + 0, 255}, + ColorFunction->RGBColor], + BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True], + Selectable->False], + DefaultBaseStyle->"ImageGraphics", + ImageSize->Automatic, + ImageSizeRaw->{552, 1241}, + PlotRange->{{0, 552}, {0, 1241}}]], "Output", + ImageSize->{556, 1241}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellTags->"RasterizedOutput", + CellLabel->"Out[331]=", + CellID->2052559508] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["FCMultiLoopTID", "Subsection"], + +Cell[TextData[{ + StyleBox["TID", + FontWeight->"Bold"], + " works only at 1-loop. For multi-loop integrals we can use ", + StyleBox["FCMultiLoopTID", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q1", ",", "mu"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q2", ",", "nu"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "q2"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", ",", "m2"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "q2"}], "}"}]}], "]"}]}]], "Input", + CellLabel->"In[332]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1 - $CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1 - $CellContext`q2, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{233, 44}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[332]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCMultiLoopTID", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[333]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "+", + SuperscriptBox["m2", "2"]}], ")"}], "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}], + RowBox[{"4", " ", "D", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "+", + SuperscriptBox["m2", "2"]}], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}], + RowBox[{"4", " ", "D", " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{460, 47}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[333]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q1", ",", "mu"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q2", ",", "nu"}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{"p1", "-", "q2"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "p1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", "-", "p1"}], "}"}]}], "]"}]}]], "Input", + CellLabel->"In[334]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1 - $CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1 - $CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q2, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{292, 41}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[334]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCMultiLoopTID", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[335]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}]}], + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"1", "-", "D"}], ")"}], " ", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]]}], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}]}], + RowBox[{"4", " ", + RowBox[{"(", + RowBox[{"1", "-", "D"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]]}]}], ")"}]}], + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", "D"}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{329, 150}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[335]="] +}, Open ]], + +Cell["\<\ +One should keep in mind, that these multi-loop decompositions may become very \ +large\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"int", "=", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{"q1", ",", "mu"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q1", ",", "rho"}], "]"}], + RowBox[{"FVD", "[", + RowBox[{"q2", ",", "nu"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "+", "p2"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "p1"}], ",", "m"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q1", "-", "q2"}], "}"}]}], "]"}]}]}]], "Input", + CellLabel->"In[336]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q1, D], + FeynCalc`Momentum[$CellContext`p2 + $CellContext`q1, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`p1 + $CellContext`q2, D]], + "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1 - $CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1 - $CellContext`q2, D]]], + Editable->False]}]], TraditionalForm]], "Output", + ImageSize->{327, 47}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[336]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"res", "=", + RowBox[{"FCMultiLoopTID", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}]], "Input", + CellLabel->"In[337]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "D"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "6"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", "D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "6"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"3", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "4"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], "2"], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], "2"]}]}], ")"}], "2"]}], ")"}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{565, 3067}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[337]="] +}, Open ]], + +Cell[TextData[{ + "Again, if the kinematics is known in advance, one should specify it \ +beforehand. In this case we might obtain a much shorter result. For example, \ +if ", + Cell[BoxData[ + FormBox[ + RowBox[{ + SubscriptBox["p", "1"], "\[CenterDot]", + SubscriptBox["p", "1"]}], TraditionalForm]]], + "=", + Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + SubscriptBox["p", "2"], "\[CenterDot]", + SubscriptBox["p", "2"]}], "=", "0"}], TraditionalForm]]], + ", then instead of doing" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"res", "/.", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"FCI", "[", + RowBox[{"SPD", "[", + RowBox[{"p1", ",", "p1"}], "]"}], "]"}], "|", + RowBox[{"FCI", "[", + RowBox[{"SPD", "[", + RowBox[{"p2", ",", "p2"}], "]"}], "]"}]}], "\[Rule]", "0"}], + "}"}]}]], "Input", + CellLabel->"In[338]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}]]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "6"]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]]}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "4"]}], ")"}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{553, 847}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[338]="] +}, Open ]], + +Cell["One should better do", "Text"], + +Cell[BoxData[{ + RowBox[{"FCClearScalarProducts", "[", "]"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p1", ",", "p1"}], "]"}], "=", "0"}], + ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"p2", ",", "p2"}], "]"}], "=", "0"}], ";"}]}], "Input", + CellLabel->"In[339]:="], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCMultiLoopTID", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[342]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{"2", " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}]}], + TraditionalForm], "+", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"D", " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p2", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}], ")"}]}], + TraditionalForm], "-", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "3"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["p1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] + + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}]], + TraditionalForm], "-", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{"2", " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "+", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]]}], "-", + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["mu", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["nu", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["rho", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], ")"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ")"}]}], ")"}], "/", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "D"}], ")"}], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["p2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`p2, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q1, D] - + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["p1", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`p1, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}], " ", + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["p2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"]}], ")"}]}], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{539, 710}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[342]="] +}, Open ]], + +Cell["which is much smarter and much faster.", "Text"], + +Cell[BoxData[ + RowBox[{"FCClearScalarProducts", "[", "]"}]], "Input", + CellLabel->"In[343]:="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Auxiliary functions", "Subsection"], + +Cell["\<\ +There are also some auxiliary functions related to loop integrals, that can \ +be useful in many ways\ +\>", "Text"], + +Cell["\<\ +Consider for example the sum of the four 1-loop gluon self-energy diagrams\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"amp", "=", + RowBox[{ + RowBox[{ + RowBox[{"DiracTrace", "[", + RowBox[{ + RowBox[{"(", + RowBox[{"MQ", "-", + RowBox[{"GSD", "[", "q", "]"}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GAD", "[", "\[Nu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "b", "}"}], ",", "Col3", ",", "Col4"}], "]"}]}], ")"}], + ".", + RowBox[{"(", + RowBox[{"MQ", "+", + RowBox[{"GSD", "[", + RowBox[{"p", "-", "q"}], "]"}]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + RowBox[{"GAD", "[", "\[Mu]", "]"}], " ", + RowBox[{"SMP", "[", "\"\\"", "]"}], " ", + RowBox[{"SUNTF", "[", + RowBox[{ + RowBox[{"{", "a", "}"}], ",", "Col4", ",", "Col3"}], "]"}]}], + ")"}]}], "]"}], " ", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q", ",", "MQ"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", "MQ"}], "}"}]}], "]"}]}], "-", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Nu]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", "\[Mu]"}], "]"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "d"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "d"}], "]"}]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"2", " ", "p"}], "-", "q"}], ",", "\[Rho]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor5", ",", "\[Mu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", + RowBox[{"2", " ", "q"}]}], ",", "\[Mu]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor5", ",", "\[Rho]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "-", "q"}], ",", "Lor5"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Rho]"}], "]"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"-", "2"}], " ", "p"}], "+", "q"}], ",", "\[Sigma]"}], + "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor6", ",", "\[Nu]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"p", "-", + RowBox[{"2", " ", "q"}]}], ",", "\[Nu]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor6", ",", "\[Sigma]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"p", "+", "q"}], ",", "Lor6"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Nu]", ",", "\[Sigma]"}], "]"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", "GaugeXi"}], ")"}], "2"]}], " ", + RowBox[{"FAD", "[", + RowBox[{"q", ",", "q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"p", "-", "q"}], ",", "Lor6"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Rho]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Sigma]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", "Lor5"}], "]"}]}], "-", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", "GaugeXi"}], ")"}], " ", + RowBox[{"FAD", "[", + RowBox[{"q", ",", "q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Rho]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Sigma]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor5", ",", "Lor6"}], "]"}]}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", "GaugeXi"}], ")"}], " ", + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{"p", "-", "q"}], ",", "Lor6"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}], ",", "Lor5"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"q", ",", + RowBox[{ + RowBox[{"-", "p"}], "+", "q"}]}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"Lor5", ",", "Lor6"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}]}]}], ")"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "d"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "d"}], "]"}]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{"1", "-", "GaugeXi"}], ")"}]}], " ", + RowBox[{"FAD", "[", + RowBox[{"q", ",", "q"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Rho]"}], "]"}], " ", + RowBox[{"FVD", "[", + RowBox[{"q", ",", "\[Sigma]"}], "]"}]}], "+", + RowBox[{ + RowBox[{"FAD", "[", "q", "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"\[ImaginaryI]", " ", + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Sigma]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Nu]", ",", "\[Rho]"}], "]"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "$AL$2586"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "$AL$2586"}], "]"}]}], "-", + RowBox[{"\[ImaginaryI]", " ", + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Nu]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Rho]", ",", "\[Sigma]"}], "]"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "$AL$2587"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "$AL$2587"}], "]"}]}], "+", + RowBox[{ + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "$AL$2588"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "$AL$2588"}], "]"}]}]}], ")"}]}], "+", + + RowBox[{"\[ImaginaryI]", " ", + RowBox[{"MTD", "[", + RowBox[{"\[Mu]", ",", "\[Rho]"}], "]"}], " ", + RowBox[{"MTD", "[", + RowBox[{"\[Nu]", ",", "\[Sigma]"}], "]"}], " ", + SuperscriptBox[ + RowBox[{"SMP", "[", "\"\\"", "]"}], "2"], " ", + RowBox[{"SUNF", "[", + RowBox[{"a", ",", "c", ",", "$AL$2590"}], "]"}], " ", + RowBox[{"SUNF", "[", + RowBox[{"b", ",", "c", ",", "$AL$2590"}], "]"}]}]}], + ")"}]}]}]}]], "Input", + CellLabel->"In[344]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"MQ", "-", + FormBox[ + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubscriptBox["g", "s"], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col3", + TraditionalForm], + FormBox["Col4", + TraditionalForm]}], + FormBox["b", + TraditionalForm]]}], ")"}], ".", + RowBox[{"(", + RowBox[{"MQ", "+", + FormBox[ + RowBox[{"\[Gamma]", "\[CenterDot]", "(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + TraditionalForm]}], ")"}], ".", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "\[ImaginaryI]"}], " ", + FormBox[ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SubscriptBox["g", "s"], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox["Col4", + TraditionalForm], + FormBox["Col3", + TraditionalForm]}], + FormBox["a", + TraditionalForm]]}], ")"}]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]], + "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], "-", + RowBox[{ + FractionBox["1", "2"], " ", + SubsuperscriptBox["g", "s", "2"], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], "+", + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"-", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False]}]], + TraditionalForm]}], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], "+", + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False], "2"]}]]}], + TraditionalForm]}], ")"}]}], "+", + FormBox[ + RowBox[{"-", + FractionBox[ + RowBox[{ + SubsuperscriptBox["g", "s", "2"], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["d", + TraditionalForm]}]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D], + FeynCalc`Momentum[-$CellContext`p + $CellContext`q, D]]], + Editable->False]}]]}], + TraditionalForm], "-", + RowBox[{ + FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FractionBox[ + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], "+", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + TagBox["\[Xi]", + TraditionalForm], "-", "1"}], ")"}], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm]}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2586", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2586", + TraditionalForm]}]]}], "-", + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2587", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2587", + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2588", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2588", + TraditionalForm]}]]}]}], ")"}]}], "+", + RowBox[{"\[ImaginaryI]", " ", + SubsuperscriptBox["g", "s", "2"], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + FormBox[ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], + TraditionalForm], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["a", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2590", + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox["b", + TraditionalForm], + FormBox["c", + TraditionalForm], + FormBox["$AL$2590", + TraditionalForm]}]]}]}], ")"}]}]}], TraditionalForm]], "Output", + ImageSize->{560, 357}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[344]="] +}, Open ]], + +Cell[TextData[{ + "Is there a simple way to extract all the unique loop integrals that appear \ +in this expression, like we can do for Dirac and Color strcutures? Yes, if we \ +use ", + StyleBox["FCLoopIsolate", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ampIso", "=", + RowBox[{"FCLoopIsolate", "[", + RowBox[{"amp", ",", + RowBox[{"{", "q", "}"}], ",", + RowBox[{"Head", "\[Rule]", "loopInt"}]}], "]"}]}]], "Input", + CellLabel->"In[345]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}]}], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["d", + TraditionalForm], + TraditionalForm]}]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"(", + RowBox[{"1", "-", + TagBox["\[Xi]", + TraditionalForm]}], ")"}], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2586", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2586", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2587", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2587", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2588", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2588", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2590", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2590", + TraditionalForm], + TraditionalForm]}]]}]}], ")"}], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + FractionBox["1", "2"], " ", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], ")"}], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2586", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2586", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2587", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2587", + TraditionalForm], + TraditionalForm]}]]}], "-", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2588", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2588", + TraditionalForm], + TraditionalForm]}]]}], "+", + RowBox[{ + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["g", + RowBox[{ + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2590", + TraditionalForm], + TraditionalForm]}]], " ", + SuperscriptBox["f", + RowBox[{ + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["c", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["$AL$2590", + TraditionalForm], + TraditionalForm]}]]}]}], ")"}], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"loopInt", "(", + FormBox[ + RowBox[{ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox["MQ", "2"]}], " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}]}], + TraditionalForm], ")"}], "/", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]}], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + ImageSize->{566, 2717}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[345]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Cases2", "[", + RowBox[{"ampIso", ",", "loopInt"}], "]"}]], "Input", + CellLabel->"In[346]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + RowBox[{ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox["MQ", "2"]}], " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}]}], + TraditionalForm], ")"}], "/", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]}], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "+", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["q", + TraditionalForm]}], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor5", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["p", + TraditionalForm], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["Lor6", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}], "-", + FormBox["q", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Rho]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["p", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Sigma]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}]}], "}"}], TraditionalForm]], "Output", + ImageSize->{559, 2116}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[346]="] +}, Open ]], + +Cell["\<\ +The number of list elements will be much smaller if we first contract all the \ +free Lorentz indices \ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"ampIso", "=", + RowBox[{"FCLoopIsolate", "[", + RowBox[{ + RowBox[{"Contract", "[", "amp", "]"}], ",", + RowBox[{"{", "q", "}"}], ",", + RowBox[{"Head", "\[Rule]", "loopInt"}]}], "]"}]}], + ";"}], "\[IndentingNewLine]", + RowBox[{"Cases2", "[", + RowBox[{"ampIso", ",", "loopInt"}], "]"}]}], "Input", + CellLabel->"In[347]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + RowBox[{ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{ + RowBox[{"-", + SuperscriptBox["MQ", "2"]}], " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{"MQ", " ", + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "+", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}], "-", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["a", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["T", + RowBox[{ + FormBox[ + FormBox["Col3", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["Col4", + TraditionalForm], + TraditionalForm]}], + FormBox[ + FormBox["b", + TraditionalForm], + TraditionalForm]], " ", + SubsuperscriptBox["g", "s", "2"]}]}], + TraditionalForm], ")"}], "/", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]}], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "4"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "4"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}]}], "}"}], TraditionalForm]], "Output", + ImageSize->{559, 1248}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[348]="] +}, Open ]], + +Cell[TextData[{ + "What about the loop momenta inside the Dirac trace?\nThe trick is to use ", + StyleBox["FCTraceExpand", + FontWeight->"Bold"], + " before applying ", + StyleBox["FCLoopIsolate", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"ampIso", "=", + RowBox[{"FCLoopIsolate", "[", + RowBox[{ + RowBox[{ + RowBox[{"amp", "//", "Contract"}], "//", "FCTraceExpand"}], ",", + RowBox[{"{", "q", "}"}], ",", + RowBox[{"Head", "\[Rule]", "loopInt"}]}], "]"}]}], + ";"}], "\[IndentingNewLine]", + RowBox[{"Cases2", "[", + RowBox[{"ampIso", ",", "loopInt"}], "]"}]}], "Input", + CellLabel->"In[349]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], ".", + RowBox[{"(", + RowBox[{"\[Gamma]", "\[CenterDot]", + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], ".", + SuperscriptBox["\[Gamma]", + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]]}], + TraditionalForm], ")"}], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["MQ", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]], "-", $CellContext`MQ^2], + Editable->False], ")"}]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], ")"}], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Mu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], + FormBox[ + FormBox["\[Nu]", + TraditionalForm], + TraditionalForm]], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + FormBox[ + FormBox["p", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm]}], ")"}], " ", + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"]}], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "4"], + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ")"}], "2"], ".", + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False]}]], + TraditionalForm], ")"}], ",", + RowBox[{"loopInt", "(", + FormBox[ + FractionBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "4"], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q, D], + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], ".", + SuperscriptBox[ + InterpretationBox[ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q", + TraditionalForm], "-", + FormBox["p", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D], - + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q, D]]], + Editable->False], "2"]}]], + TraditionalForm], ")"}]}], "}"}], TraditionalForm]], "Output", + ImageSize->{559, 700}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[350]="] +}, Open ]], + +Cell[TextData[{ + StyleBox["FCTraceExpand", + FontWeight->"Bold"], + " expands Dirac traces using linearity, without computing anything" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"DiracTrace", "[", + RowBox[{ + RowBox[{"GA", "[", "i", "]"}], "+", + RowBox[{"GA", "[", "j", "]"}]}], "]"}], "\[IndentingNewLine]", + RowBox[{"FCTraceExpand", "[", "%", "]"}]}], "Input", + CellLabel->"In[351]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"tr", "(", + FormBox[ + RowBox[{ + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm]], + TraditionalForm], "+", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]], + TraditionalForm]}], + TraditionalForm], ")"}], TraditionalForm]], "Output", + ImageSize->{84, 21}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[351]="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + RowBox[{"tr", "(", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["i", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ")"}], "+", + RowBox[{"tr", "(", + FormBox[ + SuperscriptBox[ + OverscriptBox["\[Gamma]", "_"], + FormBox[ + FormBox["j", + TraditionalForm], + TraditionalForm]], + TraditionalForm], ")"}]}], TraditionalForm]], "Output", + ImageSize->{107, 18}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[352]="] +}, Open ]], + +Cell[TextData[{ + StyleBox["FCLoopIsolate", + FontWeight->"Bold"], + " is equally useful for any number of loops. However, if we are explicitly \ +interested in the multi-loop integrals, we should also know the FCLoopBasis* \ +functions" +}], "Text"], + +Cell[TextData[{ + StyleBox["FCLoopBasisIncompleteQ", + FontWeight->"Bold"], + " acts on a single loop integral and returns True, if the propagators of \ +this integral do not form a basis." +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l", "+", "p"}], ",", "m"}], "}"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisIncompleteQ", "[", + RowBox[{"%", ",", + RowBox[{"{", "q1", "}"}]}], "]"}]}], "Input", + CellLabel->"In[353]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["l", + TraditionalForm]}], "+", + FormBox["p", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l + $CellContext`p + $CellContext`q1, + D], + FeynCalc`Momentum[-$CellContext`l + $CellContext`p + $CellContext`q1, + D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{234, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[353]="], + +Cell[BoxData[ + FormBox["True", TraditionalForm]], "Output", + ImageSize->{31, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[354]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FCI", "[", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l", "+", "p"}], ",", "m"}], "}"}]}], "]"}], + "]"}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisIncompleteQ", "[", + RowBox[{"%", ",", + RowBox[{"{", "q1", "}"}]}], "]"}]}], "Input", + CellLabel->"In[355]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["l", + TraditionalForm]}], "+", + FormBox["p", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{234, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[355]="], + +Cell[BoxData[ + FormBox["True", TraditionalForm]], "Output", + ImageSize->{31, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[356]="] +}, Open ]], + +Cell[TextData[{ + "What is missing in the propagator basis of this integral? ", + StyleBox["FCLoopBasisFindCompletion", + FontWeight->"Bold"], + " can tell" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCLoopBasisFindCompletion", "[", + RowBox[{ + RowBox[{"FCI", "[", + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l", "+", "p"}], ",", "m"}], "}"}]}], "]"}], "]"}], + ",", + RowBox[{"{", "q1", "}"}]}], "]"}]], "Input", + CellLabel->"In[357]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + RowBox[{"-", + FormBox["l", + TraditionalForm]}], "+", + FormBox["p", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`p, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m^2], + Editable->False], ")"}]}]], + TraditionalForm], ",", + RowBox[{"{", + RowBox[{ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], "}"}]}], "}"}], TraditionalForm]], "Output", + ImageSize->{306, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[357]="] +}, Open ]], + +Cell["Let us go to two 2-loops", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "q2"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"q1", ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"q2", ",", "m2"}], "}"}]}], "]"}]}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisIncompleteQ", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}], "Input", + CellLabel->"In[358]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + FormBox[ + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{155, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[358]="], + +Cell[BoxData[ + FormBox["False", TraditionalForm]], "Output", + ImageSize->{34, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[359]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l1"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "l2"}], ",", "m2"}], "}"}]}], + "]"}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisIncompleteQ", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}], "Input", + CellLabel->"In[360]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l1 + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`l1 + $CellContext`q1, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l2 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`l2 + $CellContext`q2, D]], + "-", $CellContext`m2^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{305, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[360]="], + +Cell[BoxData[ + FormBox["True", TraditionalForm]], "Output", + ImageSize->{31, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[361]="] +}, Open ]], + +Cell["And the missing propagators are", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"FCLoopBasisFindCompletion", "[", + RowBox[{ + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l1"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "l2"}], ",", "m2"}], "}"}]}], "]"}], ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]], "Input", + CellLabel->"In[362]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l1, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l1, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l2, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`l2, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m2^2], + Editable->False], ")"}]}]], + TraditionalForm], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + FormBox[ + FormBox["l1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], ",", + RowBox[{ + FormBox[ + FormBox["l2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], ",", + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}]}], "}"}]}], "}"}], TraditionalForm]], "Output", + ImageSize->{480, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[362]="] +}, Open ]], + +Cell["\<\ +How about integrals that have an overdetermined basis of propagators?\ +\>", "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{ + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "q2"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q1", ",", "l2"}], "]"}], + RowBox[{"SPD", "[", + RowBox[{"q2", ",", "l1"}], "]"}], + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l1"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "l2"}], ",", "m2"}], "}"}]}], + "]"}]}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisOverdeterminedQ", "[", + RowBox[{"%", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}], "Input", + CellLabel->"In[363]:="], + +Cell[BoxData[ + FormBox[ + FractionBox[ + RowBox[{ + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["l1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["l2", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}], " ", + RowBox[{"(", + FormBox[ + RowBox[{ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], + FormBox["\<\"\[CenterDot]\"\>", + TraditionalForm], + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm]}], + TraditionalForm], ")"}]}], + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l1 + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`l1 + $CellContext`q1, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m2", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l2 + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`l2 + $CellContext`q2, D]], + "-", $CellContext`m2^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{305, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[363]="], + +Cell[BoxData[ + FormBox["False", TraditionalForm]], "Output", + ImageSize->{34, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[364]="] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[{ + RowBox[{"int", "=", + RowBox[{"FAD", "[", + RowBox[{"q1", ",", "q2", ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "+", "l"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q1", "-", "l"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "+", "l"}], ",", "m1"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"q2", "-", "l"}], ",", "m1"}], "}"}]}], + "]"}]}], "\[IndentingNewLine]", + RowBox[{"FCLoopBasisOverdeterminedQ", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}], "Input", + CellLabel->"In[365]:="], + +Cell[BoxData[ + FormBox[ + FractionBox["1", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "+", + FormBox["q1", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l + $CellContext`q1, D], + FeynCalc`Momentum[$CellContext`l + $CellContext`q1, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l + $CellContext`q1, D], + FeynCalc`Momentum[-$CellContext`l + $CellContext`q1, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["l", + TraditionalForm], "+", + FormBox["q2", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`l + $CellContext`q2, D], + FeynCalc`Momentum[$CellContext`l + $CellContext`q2, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[-$CellContext`l + $CellContext`q2, D], + FeynCalc`Momentum[-$CellContext`l + $CellContext`q2, D]], + "-", $CellContext`m1^2], + Editable->False], ")"}]}]], TraditionalForm]], "Output", + ImageSize->{537, 43}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[365]="], + +Cell[BoxData[ + FormBox["True", TraditionalForm]], "Output", + ImageSize->{31, 14}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[366]="] +}, Open ]], + +Cell[TextData[{ + "Overdetermined basis means that the integral can partial-fractioned with ", + StyleBox["ApartFF", + FontWeight->"Bold"] +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"res", "=", + RowBox[{"ApartFF", "[", + RowBox[{"int", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}]}]], "Input", + CellLabel->"In[367]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{ + FormBox[ + RowBox[{"-", + FractionBox["2", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "-", + SuperscriptBox[ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["l", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[(-2) FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D], (-2) + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]}]]}], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "-", + SuperscriptBox[ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"], " ", + RowBox[{ + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["l", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[(-2) FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D], (-2) + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + RowBox[{"2", " ", + FormBox["l", + TraditionalForm]}]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[(-2) FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D], (-2) + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]}]], + TraditionalForm], "+", + FormBox[ + FractionBox["1", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["m1", "2"], "-", + SuperscriptBox[ + FormBox[ + FormBox["l", + TraditionalForm], + TraditionalForm], "2"]}], ")"}], "2"], " ", + RowBox[{ + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q2", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q2, D], + FeynCalc`Momentum[$CellContext`q2, D]]], + Editable->False], ".", + InterpretationBox[ + SuperscriptBox[ + FormBox[ + FormBox["q1", + TraditionalForm], + TraditionalForm], "2"], + SequenceForm[ + FeynCalc`Pair[ + FeynCalc`Momentum[$CellContext`q1, D], + FeynCalc`Momentum[$CellContext`q1, D]]], + Editable->False], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q1", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q1, D]], "-", $CellContext`m1^2], + Editable->False], ")"}], ".", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + SuperscriptBox[ + RowBox[{ + FormBox["\<\"(\"\>", + TraditionalForm], + FormBox[ + FormBox[ + RowBox[{ + FormBox["q2", + TraditionalForm], "-", + FormBox["l", + TraditionalForm]}], + TraditionalForm], + TraditionalForm], + FormBox["\<\")\"\>", + TraditionalForm]}], "2"], "\[InvisibleSpace]", "\<\"-\"\>", + "\[InvisibleSpace]", + SuperscriptBox["m1", "2"]}], + SequenceForm[ + + FeynCalc`Pair[-FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D], - + FeynCalc`Momentum[$CellContext`l, D] + + FeynCalc`Momentum[$CellContext`q2, D]], "-", $CellContext`m1^2], + Editable->False], ")"}]}]}]], + TraditionalForm]}], TraditionalForm]], "Output", + ImageSize->{524, 142}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[367]="] +}, Open ]], + +Cell[TextData[{ + "Notice that for every single integral in the output of ", + StyleBox["ApartFF", + FontWeight->"Bold"], + " the basis is not overdetermined anymore" +}], "Text"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"FCLoopBasisOverdeterminedQ", "[", + RowBox[{"#", ",", + RowBox[{"{", + RowBox[{"q1", ",", "q2"}], "}"}]}], "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{"List", "@@", "res"}], ")"}]}]], "Input", + CellLabel->"In[368]:="], + +Cell[BoxData[ + FormBox[ + RowBox[{"{", + RowBox[{"False", ",", "False", ",", "False"}], "}"}], + TraditionalForm]], "Output", + ImageSize->{124, 16}, + ImageMargins->{{0, 0}, {0, 0}}, + ImageRegion->{{0, 1}, {0, 1}}, + CellLabel->"Out[368]="] +}, Open ]] +}, Open ]] +}, Open ]] +}, Open ]], + +Cell[" ", "FooterCell"] +}, +Saveable->False, +ScreenStyleEnvironment->"Working", +WindowSize->{725, 750}, +WindowMargins->{{0, Automatic}, {Automatic, 0}}, +WindowTitle->"Short introduction", +TaggingRules->{ + "ModificationHighlight" -> False, "ColorType" -> "TutorialColor", + "LinkTrails" -> GridBox[{{ + RowBox[{ + ButtonBox[ + "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", + BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> + Left], "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> + "", "Metadata" -> { + "built" -> "{2020, 6, 20, 19, 13, 3.191235}", + "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", + "keywords" -> {}, "specialkeywords" -> {}, + "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> + "Feyn Calc Tutorial", "language" -> "en", "paclet" -> "FeynCalc", + "status" -> "None", "summary" -> + "FeynCalc is a Mathematica package for algebraic calculations in high \ +energy physics. It provides tools for Lorentz structure manipulations, Dirac \ +algebra manipulations, color factor calculations, Feynman rule derivation, \ +Feynman loop integral calculations (e.g. Passarino-Veltman reduction) and \ +noncommutative algebra calculations, as well as various tabulations of \ +Feynman parameter integrals, Mellin transforms^\[Dagger], convolutions, \ +lagrangians and Feynman rules. Also, translation facilities are provided to \ +change the FeynCalc syntax to and from FORM syntax and to generate FORTRAN \ +code. Some functions for input of objects like p^\[Mu],\[Gamma]^\[Nu],g^\[Mu] \ +\[Nu], \[CurlyEpsilon]^\[Mu] \[Nu] \[Rho] \[Sigma], etc. (abbreviations in \ +parentheses) are: GA (Dirac matrix), GS (Dirac slash), FV (4-vector), LC \ +(Levi-Civita tensor), MT (metric tensor), Spinor, SUNDelta, SUNFDelta, SUNF, \ +SP (scalar product)", "synonyms" -> {}, "tabletags" -> + DocumentationBuild`Make`Private`tabletaggingrules$299758, "title" -> + "Short introduction", "titlemodifier" -> "", "windowtitle" -> + "Short introduction", "type" -> "Tutorial", "uri" -> + "FeynCalc/tutorial/Intro"}, "SearchTextTranslated" -> ""}, +FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", +StyleDefinitions->Notebook[{ + Cell[ + StyleData[ + StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], + Cell[ + StyleData["Input"], CellContext -> Notebook], + Cell[ + StyleData["Output"], CellContext -> Notebook], + Cell[ + StyleData["TutorialMoreAboutSection"], + CellGroupingRules -> {"SectionGrouping", 30}], + Cell[ + StyleData["RelatedTutorialsSection"], + CellGroupingRules -> {"SectionGrouping", 30}], + Cell[ + StyleData["TutorialRelatedLinksSection"], + CellGroupingRules -> {"SectionGrouping", 30}]}, Visible -> False, + FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", + StyleDefinitions -> "Default.nb"] +] +(* End of Notebook Content *) + +(* Internal cache information *) +(*CellTagsOutline +CellTagsIndex->{ + "intro"->{ + Cell[17584, 355, 94, 2, 33, "Text", + CellTags->"intro", + CellID->1227796187], + Cell[19431, 430, 111, 2, 33, "Text", + CellTags->"intro", + CellID->1006364145], + Cell[21195, 499, 559, 21, 70, "Text", + CellTags->"intro", + CellID->716203363], + Cell[21757, 522, 114, 2, 70, "Text", + CellTags->"intro", + CellID->1566592169], + Cell[21874, 526, 470, 13, 70, "SmallText", + CellTags->{"intro", "introfoot"}, + CellID->721081683]}, + "introfoot"->{ + Cell[21874, 526, 470, 13, 70, "SmallText", + CellTags->{"intro", "introfoot"}, + CellID->721081683]}, + "Load FeynCalc"->{ + Cell[22369, 543, 96, 2, 70, "Section", + CellTags->{"Load FeynCalc", "start"}, + CellID->1726202394]}, + "start"->{ + Cell[22369, 543, 96, 2, 70, "Section", + CellTags->{"Load FeynCalc", "start"}, + CellID->1726202394]}, + "About Extras"->{ + Cell[24895, 643, 107, 3, 70, "Section", + PageBreakAbove->True, + CellTags->"About Extras", + CellID->2100607586], + Cell[25005, 648, 495, 9, 70, "Text", + CellTags->"About Extras", + CellID->953459903]}, + "tarcer"->{ + Cell[25525, 661, 69, 2, 70, "Subsection", + CellTags->"tarcer", + CellID->906844505], + Cell[26121, 685, 155, 5, 70, "Input", + CellTags->"tarcer", + CellID->843778896]}, + "phi"->{ + Cell[26561, 705, 64, 2, 70, "Subsection", + CellTags->"phi", + CellID->932055296], + Cell[26628, 709, 501, 11, 70, "Text", + CellTags->"phi", + CellID->1893421836], + Cell[27132, 722, 89, 2, 70, "Text", + CellTags->"phi", + CellID->528666319], + Cell[27224, 726, 115, 4, 70, "Input", + CellTags->"phi", + CellID->798844745], + Cell[27342, 732, 146, 5, 70, "Text", + CellTags->"phi", + CellID->1295431310], + Cell[27491, 739, 289, 10, 70, "Text", + CellTags->"phi", + CellID->1431249758]}, + "Example Calculations"->{ + Cell[31415, 874, 126, 3, 70, "Section", + PageBreakAbove->True, + CellTags->{"Example Calculations", "ex"}, + CellID->1007300369]}, + "ex"->{ + Cell[31415, 874, 126, 3, 70, "Section", + PageBreakAbove->True, + CellTags->{"Example Calculations", "ex"}, + CellID->1007300369]}, + "RasterizedOutput"->{ + Cell[72482, 2616, 7433, 130, 141, "Output", + CellTags->"RasterizedOutput", + CellID->1673414009], + Cell[188789, 7270, 3322, 63, 59, "Output", + CellTags->"RasterizedOutput", + CellID->809079463], + Cell[197423, 7539, 4891, 88, 99, "Output", + CellTags->"RasterizedOutput", + CellID->770551569], + Cell[804634, 29148, 104286, 1718, 1164, "Output", + CellTags->"RasterizedOutput", + CellID->2052559508]} + } +*) +(*CellTagsIndex +CellTagsIndex->{ + {"intro", 1949324, 67007}, + {"introfoot", 1949785, 67023}, + {"Load FeynCalc", 1949911, 67027}, + {"start", 1950030, 67031}, + {"About Extras", 1950156, 67035}, + {"tarcer", 1950381, 67043}, + {"phi", 1950568, 67050}, + {"Example Calculations", 1951098, 67069}, + {"ex", 1951244, 67074}, + {"RasterizedOutput", 1951404, 67079} + } +*) +(*NotebookFileOutline +Notebook[{ +Cell[590, 21, 2283, 53, 53, "AnchorBarGrid", + CellID->1], +Cell[CellGroupData[{ +Cell[2898, 78, 55, 1, 47, "Title", + CellID->509267359], +Cell[2956, 81, 12217, 189, 66, "TutorialJumpBox"], +Cell[15176, 272, 855, 20, 164, "Text", + CellID->1534169418], +Cell[16034, 294, 508, 15, 55, "Text", + CellID->1157525339], +Cell[16545, 311, 1036, 42, 54, "Text", + CellID->757206658], +Cell[17584, 355, 94, 2, 33, "Text", + CellTags->"intro", + CellID->1227796187], +Cell[17681, 359, 1747, 69, 75, "Text", + CellID->833014432], +Cell[19431, 430, 111, 2, 33, "Text", + CellTags->"intro", + CellID->1006364145], +Cell[19545, 434, 741, 30, 33, "Text", + CellID->571834673], +Cell[20289, 466, 177, 4, 54, "Text", + CellID->4750988], +Cell[CellGroupData[{ +Cell[20491, 474, 192, 6, 70, "Input", + CellID->1220639322], +Cell[20686, 482, 254, 7, 37, "Output", + CellID->1760930313] +}, Open ]], +Cell[20955, 492, 237, 5, 70, "Text", + CellID->1833132382], +Cell[21195, 499, 559, 21, 70, "Text", + CellTags->"intro", + CellID->716203363], +Cell[21757, 522, 114, 2, 70, "Text", + CellTags->"intro", + CellID->1566592169], +Cell[21874, 526, 470, 13, 70, "SmallText", + CellTags->{"intro", "introfoot"}, + CellID->721081683], +Cell[CellGroupData[{ +Cell[22369, 543, 96, 2, 70, "Section", + CellTags->{"Load FeynCalc", "start"}, + CellID->1726202394], +Cell[22468, 547, 253, 7, 70, "Text", + CellID->846823627], +Cell[CellGroupData[{ +Cell[22746, 558, 196, 6, 70, "Input", + CellID->1006438652], +Cell[22945, 566, 232, 7, 37, "Output", + CellID->205843633] +}, Open ]], +Cell[23192, 576, 390, 11, 70, "Text", + CellID->469196418], +Cell[23585, 589, 484, 14, 70, "Text", + CellID->434623157], +Cell[24072, 605, 173, 6, 70, "Text", + CellID->13342743], +Cell[24248, 613, 135, 4, 70, "Input", + CellID->2016141554], +Cell[24386, 619, 50, 1, 70, "Text", + CellID->491195527], +Cell[24439, 622, 36, 1, 70, "Text", + CellID->351638376], +Cell[24478, 625, 380, 13, 70, "Text", + CellID->430968534] +}, Open ]], +Cell[CellGroupData[{ +Cell[24895, 643, 107, 3, 70, "Section", + PageBreakAbove->True, + CellTags->"About Extras", + CellID->2100607586], +Cell[25005, 648, 495, 9, 70, "Text", + CellTags->"About Extras", + CellID->953459903], +Cell[CellGroupData[{ +Cell[25525, 661, 69, 2, 70, "Subsection", + CellTags->"tarcer", + CellID->906844505], +Cell[25597, 665, 398, 13, 70, "Text", + CellID->1972678903], +Cell[25998, 680, 120, 3, 70, "Text", + CellID->1513547103], +Cell[26121, 685, 155, 5, 70, "Input", + CellTags->"tarcer", + CellID->843778896], +Cell[26279, 692, 245, 8, 70, "Text", + CellID->998781867] +}, Open ]], +Cell[CellGroupData[{ +Cell[26561, 705, 64, 2, 70, "Subsection", + CellTags->"phi", + CellID->932055296], +Cell[26628, 709, 501, 11, 70, "Text", + CellTags->"phi", + CellID->1893421836], +Cell[27132, 722, 89, 2, 70, "Text", + CellTags->"phi", + CellID->528666319], +Cell[27224, 726, 115, 4, 70, "Input", + CellTags->"phi", + CellID->798844745], +Cell[27342, 732, 146, 5, 70, "Text", + CellTags->"phi", + CellID->1295431310], +Cell[27491, 739, 289, 10, 70, "Text", + CellTags->"phi", + CellID->1431249758] +}, Open ]], +Cell[CellGroupData[{ +Cell[27817, 754, 51, 1, 70, "Subsection", + CellID->1026891602], +Cell[27871, 757, 987, 29, 70, "Text", + CellID->1730838623], +Cell[28861, 788, 343, 6, 70, "Text", + CellID->1031127518], +Cell[29207, 796, 380, 7, 70, "Text", + CellID->791617764], +Cell[29590, 805, 327, 6, 70, "Text", + CellID->895418169], +Cell[29920, 813, 218, 5, 70, "Text", + CellID->2088550082], +Cell[CellGroupData[{ +Cell[30163, 822, 88, 2, 70, "Input", + CellID->606741564], +Cell[30254, 826, 254, 7, 37, "Output", + CellID->1253899115] +}, Open ]], +Cell[30523, 836, 141, 6, 70, "Text", + CellID->1310937107], +Cell[30667, 844, 160, 5, 70, "Input", + CellID->342627804], +Cell[30830, 851, 283, 7, 70, "Text", + CellID->570125418], +Cell[31116, 860, 161, 5, 70, "Input", + CellID->1900750623], +Cell[31280, 867, 86, 1, 70, "Text", + CellID->1315560355] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[31415, 874, 126, 3, 70, "Section", + PageBreakAbove->True, + CellTags->{"Example Calculations", "ex"}, + CellID->1007300369], +Cell[31544, 879, 111, 3, 70, "Text", + CellID->1268182373], +Cell[CellGroupData[{ +Cell[31680, 886, 192, 6, 70, "Input", + CellID->1877395502], +Cell[31875, 894, 253, 7, 37, "Output", + CellID->727521100] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[32177, 907, 56, 0, 70, "Section"], +Cell[CellGroupData[{ +Cell[32258, 911, 38, 0, 70, "Subsection"], +Cell[32299, 913, 228, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[32552, 921, 184, 5, 70, "Input"], +Cell[32739, 928, 362, 15, 37, "Output"] +}, Open ]], +Cell[33116, 946, 190, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[33331, 955, 192, 5, 70, "Input"], +Cell[33526, 962, 390, 16, 37, "Output"] +}, Open ]], +Cell[33931, 981, 53, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[34009, 985, 176, 5, 70, "Input"], +Cell[34188, 992, 437, 18, 37, "Output"] +}, Open ]], +Cell[34640, 1013, 246, 8, 70, "Text"], +Cell[CellGroupData[{ +Cell[34911, 1025, 130, 3, 70, "Input"], +Cell[35044, 1030, 296, 11, 37, "Output"] +}, Open ]], +Cell[35355, 1044, 46, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[35426, 1048, 122, 3, 70, "Input"], +Cell[35551, 1053, 329, 12, 37, "Output"] +}, Open ]], +Cell[35895, 1068, 41, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[35961, 1072, 303, 7, 70, "Input"], +Cell[36267, 1081, 569, 24, 35, "Output"] +}, Open ]], +Cell[36851, 1108, 50, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[36926, 1112, 271, 7, 70, "Input"], +Cell[37200, 1121, 665, 28, 41, "Output"] +}, Open ]], +Cell[37880, 1152, 229, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[38134, 1160, 873, 24, 70, "Input"], +Cell[39010, 1186, 1809, 77, 43, "Output"] +}, Open ]], +Cell[40834, 1266, 24, 0, 70, "Text"] +}, Open ]], +Cell[CellGroupData[{ +Cell[40895, 1271, 38, 0, 70, "Subsection"], +Cell[40936, 1273, 272, 5, 70, "Text"], +Cell[41211, 1280, 198, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[41434, 1289, 82, 2, 70, "Input"], +Cell[41519, 1293, 420, 18, 37, "Output"] +}, Open ]], +Cell[41954, 1314, 121, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[42100, 1322, 78, 2, 70, "Input"], +Cell[42181, 1326, 413, 17, 37, "Output"] +}, Open ]], +Cell[42609, 1346, 107, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[42741, 1354, 86, 2, 70, "Input"], +Cell[42830, 1358, 493, 21, 37, "Output"] +}, Open ]], +Cell[43338, 1382, 185, 8, 70, "Text"], +Cell[CellGroupData[{ +Cell[43548, 1394, 59, 1, 70, "Input"], +Cell[43610, 1397, 272, 10, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[43919, 1412, 55, 1, 70, "Input"], +Cell[43977, 1415, 305, 11, 37, "Output"] +}, Open ]], +Cell[44297, 1429, 96, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[44418, 1437, 121, 3, 70, "Input"], +Cell[44542, 1442, 521, 22, 35, "Output"] +}, Open ]], +Cell[45078, 1467, 56, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[45159, 1471, 149, 4, 70, "Input"], +Cell[45311, 1477, 665, 28, 41, "Output"] +}, Open ]], +Cell[45991, 1508, 57, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[46073, 1512, 146, 4, 70, "Input"], +Cell[46222, 1518, 639, 27, 41, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[46898, 1550, 164, 5, 70, "Input"], +Cell[47065, 1557, 615, 26, 41, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[47729, 1589, 59, 0, 70, "Subsection"], +Cell[47791, 1591, 633, 21, 70, "Text"], +Cell[CellGroupData[{ +Cell[48449, 1616, 323, 9, 70, "Input"], +Cell[48775, 1627, 362, 15, 37, "Output"], +Cell[49140, 1644, 362, 15, 37, "Output"] +}, Open ]], +Cell[49517, 1662, 135, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[49677, 1671, 153, 3, 70, "Input"], +Cell[49833, 1676, 208, 6, 51, "Output"], +Cell[50044, 1684, 287, 8, 51, "Output"] +}, Open ]], +Cell[50346, 1695, 420, 12, 70, "Text"], +Cell[CellGroupData[{ +Cell[50791, 1711, 145, 3, 70, "Input"], +Cell[50939, 1716, 366, 13, 52, "Output"], +Cell[51308, 1731, 451, 15, 52, "Output"] +}, Open ]], +Cell[51774, 1749, 383, 15, 70, "Text"], +Cell[52160, 1766, 47, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[52232, 1770, 87, 2, 70, "Input"], +Cell[52322, 1774, 208, 6, 51, "Output"] +}, Open ]], +Cell[52545, 1783, 57, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[52627, 1787, 113, 3, 70, "Input"], +Cell[52743, 1792, 208, 6, 51, "Output"] +}, Open ]], +Cell[52966, 1801, 35, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[53026, 1805, 113, 3, 70, "Input"], +Cell[53142, 1810, 287, 8, 51, "Output"] +}, Open ]], +Cell[53444, 1821, 51, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[53520, 1825, 143, 5, 70, "Input"], +Cell[53666, 1832, 208, 6, 51, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[53923, 1844, 36, 0, 70, "Subsection"], +Cell[53962, 1846, 198, 4, 70, "Text"], +Cell[54163, 1852, 270, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[54458, 1861, 203, 6, 70, "Input"], +Cell[54664, 1869, 437, 18, 37, "Output"] +}, Open ]], +Cell[55116, 1890, 56, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[55197, 1894, 159, 5, 70, "Input"], +Cell[55359, 1901, 437, 18, 37, "Output"] +}, Open ]], +Cell[55811, 1922, 143, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[55979, 1931, 192, 6, 70, "Input"], +Cell[56174, 1939, 167, 5, 35, "Output"] +}, Open ]] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[56402, 1951, 31, 0, 70, "Section"], +Cell[56436, 1953, 329, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[56790, 1964, 250, 7, 70, "Input"], +Cell[57043, 1973, 718, 31, 37, "Output"], +Cell[57764, 2006, 362, 15, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[58163, 2026, 252, 7, 70, "Input"], +Cell[58418, 2035, 694, 30, 37, "Output"], +Cell[59115, 2067, 437, 18, 37, "Output"] +}, Open ]], +Cell[59567, 2088, 318, 9, 70, "Text"], +Cell[CellGroupData[{ +Cell[59910, 2101, 406, 11, 70, "Input"], +Cell[60319, 2114, 1328, 56, 39, "Output"], +Cell[61650, 2172, 677, 26, 37, "Output"] +}, Open ]], +Cell[62342, 2201, 136, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[62503, 2210, 185, 5, 70, "Input"], +Cell[62691, 2217, 733, 30, 39, "Output"] +}, Open ]], +Cell[63439, 2250, 127, 3, 70, "Text"], +Cell[63569, 2255, 697, 14, 70, "Text"], +Cell[CellGroupData[{ +Cell[64291, 2273, 219, 7, 70, "Input"], +Cell[64513, 2282, 735, 31, 37, "Output"] +}, Open ]], +Cell[65263, 2316, 380, 15, 70, "Text"], +Cell[65646, 2333, 262, 5, 70, "Text"], +Cell[65911, 2340, 209, 4, 70, "Text"], +Cell[66123, 2346, 158, 3, 70, "Text"], +Cell[CellGroupData[{ +Cell[66306, 2353, 312, 9, 70, "Input"], +Cell[66621, 2364, 977, 43, 37, "Output"], +Cell[67601, 2409, 600, 26, 37, "Output"] +}, Open ]], +Cell[68216, 2438, 592, 18, 70, "Text"], +Cell[68811, 2458, 684, 24, 70, "Text"], +Cell[69498, 2484, 776, 36, 70, "Text"], +Cell[70277, 2522, 248, 9, 70, "Text"], +Cell[CellGroupData[{ +Cell[70550, 2535, 428, 13, 70, "Input"], +Cell[70981, 2550, 1498, 64, 38, "Output"], +Cell[72482, 2616, 7433, 130, 141, "Output", + CellTags->"RasterizedOutput", + CellID->1673414009] +}, Open ]], +Cell[79930, 2749, 159, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[80114, 2758, 495, 15, 70, "Input"], +Cell[80612, 2775, 1498, 64, 38, "Output"], +Cell[82113, 2841, 1195, 50, 38, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[83357, 2897, 29, 0, 70, "Section"], +Cell[83389, 2899, 513, 15, 70, "Text"], +Cell[CellGroupData[{ +Cell[83927, 2918, 197, 5, 70, "Input"], +Cell[84127, 2925, 335, 14, 37, "Output"], +Cell[84465, 2941, 337, 10, 51, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[84839, 2956, 201, 5, 70, "Input"], +Cell[85043, 2963, 366, 15, 37, "Output"], +Cell[85412, 2980, 345, 10, 51, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[85794, 2995, 193, 5, 70, "Input"], +Cell[85990, 3002, 383, 16, 37, "Output"], +Cell[86376, 3020, 329, 10, 51, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[86742, 3035, 174, 4, 70, "Input"], +Cell[86919, 3041, 272, 10, 37, "Output"], +Cell[87194, 3053, 282, 8, 51, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[87513, 3066, 170, 4, 70, "Input"], +Cell[87686, 3072, 278, 10, 37, "Output"], +Cell[87967, 3084, 274, 8, 51, "Output"] +}, Open ]], +Cell[88256, 3095, 846, 28, 70, "Text"], +Cell[89105, 3125, 91, 2, 70, "Text"], +Cell[CellGroupData[{ +Cell[89221, 3131, 197, 5, 70, "Input"], +Cell[89421, 3138, 362, 15, 37, "Output"], +Cell[89786, 3155, 433, 14, 51, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[90256, 3174, 193, 5, 70, "Input"], +Cell[90452, 3181, 382, 16, 37, "Output"], +Cell[90837, 3199, 433, 14, 51, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[91307, 3218, 193, 5, 70, "Input"], +Cell[91503, 3225, 437, 18, 37, "Output"], +Cell[91943, 3245, 425, 14, 51, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[92405, 3264, 174, 4, 70, "Input"], +Cell[92582, 3270, 296, 11, 37, "Output"], +Cell[92881, 3283, 374, 12, 51, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[93292, 3300, 170, 4, 70, "Input"], +Cell[93465, 3306, 329, 12, 37, "Output"], +Cell[93797, 3320, 366, 12, 51, "Output"] +}, Open ]], +Cell[94178, 3335, 190, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[94393, 3343, 247, 7, 70, "Input"], +Cell[94643, 3352, 659, 29, 37, "Output"], +Cell[95305, 3383, 437, 18, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[95779, 3406, 247, 7, 70, "Input"], +Cell[96029, 3415, 688, 30, 37, "Output"], +Cell[96720, 3447, 167, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[96924, 3457, 474, 15, 70, "Input"], +Cell[97401, 3474, 1319, 56, 40, "Output"], +Cell[98723, 3532, 776, 32, 37, "Output"] +}, Open ]], +Cell[99514, 3567, 178, 3, 70, "Text"], +Cell[CellGroupData[{ +Cell[99717, 3574, 201, 5, 70, "Input"], +Cell[99921, 3581, 335, 14, 37, "Output"], +Cell[100259, 3597, 362, 15, 37, "Output"] +}, Open ]], +Cell[100636, 3615, 174, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[100835, 3624, 225, 6, 70, "Input"], +Cell[101063, 3632, 335, 14, 37, "Output"], +Cell[101401, 3648, 362, 15, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[101800, 3668, 196, 5, 70, "Input"], +Cell[101999, 3675, 437, 18, 37, "Output"], +Cell[102439, 3695, 383, 16, 37, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[102871, 3717, 29, 0, 70, "Section"], +Cell[102903, 3719, 115, 3, 70, "Text"], +Cell[103021, 3724, 146, 5, 70, "Input"], +Cell[CellGroupData[{ +Cell[103192, 3733, 102, 3, 70, "Input"], +Cell[103297, 3738, 167, 5, 35, "Output"] +}, Open ]], +Cell[103479, 3746, 55, 0, 70, "Text"], +Cell[103537, 3748, 93, 2, 70, "Input"], +Cell[CellGroupData[{ +Cell[103655, 3754, 78, 2, 70, "Input"], +Cell[103736, 3758, 413, 17, 37, "Output"] +}, Open ]], +Cell[104164, 3778, 163, 5, 70, "Text"], +Cell[104330, 3785, 413, 13, 70, "Input"], +Cell[104746, 3800, 283, 5, 70, "Text"], +Cell[105032, 3807, 94, 2, 70, "Input"] +}, Open ]], +Cell[CellGroupData[{ +Cell[105163, 3814, 51, 0, 70, "Section"], +Cell[105217, 3816, 153, 3, 70, "Text"], +Cell[CellGroupData[{ +Cell[105395, 3823, 189, 6, 70, "Input"], +Cell[105587, 3831, 980, 41, 37, "Output"] +}, Open ]], +Cell[106582, 3875, 35, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[106642, 3879, 168, 5, 70, "Input"], +Cell[106813, 3886, 617, 25, 37, "Output"] +}, Open ]], +Cell[107445, 3914, 26, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[107496, 3918, 99, 2, 70, "Input"], +Cell[107598, 3922, 1930, 84, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[109565, 4011, 99, 2, 70, "Input"], +Cell[109667, 4015, 817, 36, 37, "Output"] +}, Open ]], +Cell[110499, 4054, 215, 6, 70, "Text"], +Cell[CellGroupData[{ +Cell[110739, 4064, 647, 21, 70, "Input"], +Cell[111389, 4087, 3067, 117, 42, "Output"], +Cell[114459, 4206, 3361, 131, 66, "Output"] +}, Open ]], +Cell[117835, 4340, 113, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[117973, 4349, 242, 7, 70, "Input"], +Cell[118218, 4358, 807, 34, 41, "Output"], +Cell[119028, 4394, 1228, 52, 41, "Output"] +}, Open ]], +Cell[120271, 4449, 198, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[120494, 4460, 213, 5, 70, "Input"], +Cell[120710, 4467, 570, 24, 35, "Output"], +Cell[121283, 4493, 607, 25, 35, "Output"] +}, Open ]], +Cell[121905, 4521, 170, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[122100, 4532, 299, 9, 70, "Input"], +Cell[122402, 4543, 761, 32, 37, "Output"], +Cell[123166, 4577, 597, 24, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[123800, 4606, 291, 9, 70, "Input"], +Cell[124094, 4617, 1010, 40, 37, "Output"], +Cell[125107, 4659, 730, 30, 37, "Output"] +}, Open ]], +Cell[125852, 4692, 199, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[126076, 4703, 338, 9, 70, "Input"], +Cell[126417, 4714, 1378, 54, 37, "Output"], +Cell[127798, 4770, 1312, 50, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[129147, 4825, 398, 11, 70, "Input"], +Cell[129548, 4838, 1378, 54, 37, "Output"], +Cell[130929, 4894, 1312, 50, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[132278, 4949, 409, 10, 70, "Input"], +Cell[132690, 4961, 1378, 54, 37, "Output"], +Cell[134071, 5017, 1312, 50, 37, "Output"], +Cell[135386, 5069, 1200, 46, 37, "Output"] +}, Open ]], +Cell[136601, 5118, 221, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[136847, 5129, 368, 10, 70, "Input"], +Cell[137218, 5141, 1378, 54, 37, "Output"], +Cell[138599, 5197, 3180, 122, 56, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[141828, 5325, 35, 0, 70, "Section"], +Cell[141866, 5327, 264, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[142155, 5336, 392, 13, 70, "Input"], +Cell[142550, 5351, 1295, 56, 40, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[143882, 5412, 234, 7, 70, "Input"], +Cell[144119, 5421, 2284, 98, 42, "Output"], +Cell[146406, 5521, 1039, 41, 39, "Output"] +}, Open ]], +Cell[147460, 5565, 70, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[147555, 5569, 100, 2, 70, "Input"], +Cell[147658, 5573, 1353, 54, 43, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[149048, 5632, 192, 5, 70, "Input"], +Cell[149243, 5639, 2476, 104, 43, "Output"], +Cell[151722, 5745, 1039, 41, 39, "Output"] +}, Open ]], +Cell[152776, 5789, 139, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[152940, 5798, 422, 13, 70, "Input"], +Cell[153365, 5813, 1284, 56, 37, "Output"], +Cell[154652, 5871, 1420, 56, 40, "Output"] +}, Open ]], +Cell[156087, 5930, 71, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[156183, 5934, 428, 13, 70, "Input"], +Cell[156614, 5949, 1284, 56, 37, "Output"], +Cell[157901, 6007, 168, 5, 35, "Output"] +}, Open ]], +Cell[158084, 6015, 259, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[158368, 6026, 333, 8, 70, "Input"], +Cell[158704, 6036, 662, 28, 38, "Output"], +Cell[159369, 6066, 1047, 42, 40, "Output"], +Cell[160419, 6110, 1489, 57, 43, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[161945, 6172, 412, 11, 70, "Input"], +Cell[162360, 6185, 1195, 46, 42, "Output"], +Cell[163558, 6233, 1512, 56, 43, "Output"], +Cell[165073, 6291, 1967, 72, 43, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[167077, 6368, 316, 10, 70, "Input"], +Cell[167396, 6380, 851, 36, 37, "Output"], +Cell[168250, 6418, 757, 32, 37, "Output"] +}, Open ]], +Cell[169022, 6453, 221, 6, 70, "Text"], +Cell[CellGroupData[{ +Cell[169268, 6463, 551, 16, 70, "Input"], +Cell[169822, 6481, 851, 36, 37, "Output"], +Cell[170676, 6519, 1089, 44, 40, "Output"], +Cell[171768, 6565, 1420, 56, 40, "Output"] +}, Open ]], +Cell[173203, 6624, 73, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[173301, 6628, 363, 11, 70, "Input"], +Cell[173667, 6641, 851, 36, 37, "Output"], +Cell[174521, 6679, 1420, 56, 40, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[175990, 6741, 32, 0, 70, "Section"], +Cell[176025, 6743, 216, 8, 70, "Text"], +Cell[176244, 6753, 205, 6, 70, "Text"], +Cell[CellGroupData[{ +Cell[176474, 6763, 272, 7, 70, "Input"], +Cell[176749, 6772, 960, 38, 37, "Output"], +Cell[177712, 6812, 619, 23, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[178368, 6840, 337, 9, 70, "Input"], +Cell[178708, 6851, 1380, 54, 42, "Output"], +Cell[180091, 6907, 3565, 139, 66, "Output"] +}, Open ]], +Cell[183671, 7049, 135, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[183831, 7058, 275, 7, 70, "Input"], +Cell[184109, 7067, 817, 33, 37, "Output"], +Cell[184929, 7102, 817, 31, 37, "Output"] +}, Open ]], +Cell[185761, 7136, 162, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[185948, 7145, 149, 4, 70, "Input"], +Cell[186100, 7151, 638, 25, 40, "Output"] +}, Open ]], +Cell[186753, 7179, 136, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[186914, 7187, 224, 6, 70, "Input"], +Cell[187141, 7195, 425, 17, 37, "Output"] +}, Open ]], +Cell[187581, 7215, 102, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[187708, 7224, 191, 5, 70, "Input"], +Cell[187902, 7231, 425, 17, 37, "Output"] +}, Open ]], +Cell[188342, 7251, 143, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[188510, 7260, 276, 8, 27, "Input"], +Cell[188789, 7270, 3322, 63, 59, "Output", + CellTags->"RasterizedOutput", + CellID->809079463] +}, Open ]], +Cell[192126, 7336, 197, 6, 70, "Text"], +Cell[CellGroupData[{ +Cell[192348, 7346, 277, 8, 70, "Input"], +Cell[192628, 7356, 1137, 43, 43, "Output"] +}, Open ]], +Cell[193780, 7402, 249, 6, 70, "Text"], +Cell[CellGroupData[{ +Cell[194054, 7412, 224, 6, 70, "Input"], +Cell[194281, 7420, 547, 21, 40, "Output"] +}, Open ]], +Cell[194843, 7444, 539, 11, 70, "Text"], +Cell[195385, 7457, 130, 4, 70, "Input"], +Cell[195518, 7463, 251, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[195794, 7474, 224, 6, 70, "Input"], +Cell[196021, 7482, 980, 38, 40, "Output"] +}, Open ]], +Cell[197016, 7523, 54, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[197095, 7527, 325, 10, 27, "Input"], +Cell[197423, 7539, 4891, 88, 99, "Output", + CellTags->"RasterizedOutput", + CellID->770551569] +}, Open ]], +Cell[202329, 7630, 332, 9, 70, "Text"], +Cell[202664, 7641, 129, 4, 70, "Input"], +Cell[202796, 7647, 54, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[202875, 7651, 1080, 35, 70, "Input"], +Cell[203958, 7688, 3249, 126, 67, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[207244, 7819, 293, 9, 70, "Input"], +Cell[207540, 7830, 176, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[207753, 7840, 54, 1, 70, "Input"], +Cell[207810, 7843, 104777, 4101, 1196, "Output"] +}, Open ]], +Cell[312602, 11947, 106, 3, 70, "Text"], +Cell[CellGroupData[{ +Cell[312733, 11954, 6229, 177, 70, "Input"], +Cell[318965, 12133, 15608, 541, 258, "Output"] +}, Open ]], +Cell[334588, 12677, 182, 3, 70, "Text"], +Cell[CellGroupData[{ +Cell[334795, 12684, 185, 5, 70, "Input"], +Cell[334983, 12691, 15259, 526, 255, "Output"] +}, Open ]], +Cell[350257, 13220, 163, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[350445, 13229, 235, 7, 70, "Input"], +Cell[350683, 13238, 5094, 184, 90, "Output"] +}, Open ]], +Cell[355792, 13425, 339, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[356156, 13436, 210, 6, 70, "Input"], +Cell[356369, 13444, 7446, 275, 114, "Output"] +}, Open ]], +Cell[363830, 13722, 49, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[363904, 13726, 176, 5, 70, "Input"], +Cell[364083, 13733, 12848, 454, 186, "Output"] +}, Open ]], +Cell[376946, 14190, 35, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[377006, 14194, 86, 2, 70, "Input"], +Cell[377095, 14198, 18118, 619, 304, "Output"] +}, Open ]], +Cell[395228, 14820, 141, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[395394, 14828, 98, 2, 70, "Input"], +Cell[395495, 14832, 1869, 41, 168, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[397413, 14879, 32, 0, 70, "Section"], +Cell[397448, 14881, 67, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[397540, 14885, 82, 2, 70, "Input"], +Cell[397625, 14889, 226, 8, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[397888, 14902, 115, 3, 70, "Input"], +Cell[398006, 14907, 324, 13, 38, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[398367, 14925, 115, 3, 70, "Input"], +Cell[398485, 14930, 324, 13, 38, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[398846, 14948, 109, 3, 70, "Input"], +Cell[398958, 14953, 290, 11, 38, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[399285, 14969, 55, 1, 70, "Input"], +Cell[399343, 14972, 168, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[399548, 14982, 53, 1, 70, "Input"], +Cell[399604, 14985, 190, 6, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[399831, 14996, 53, 1, 70, "Input"], +Cell[399887, 14999, 190, 6, 37, "Output"] +}, Open ]], +Cell[400092, 15008, 203, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[400320, 15019, 172, 4, 70, "Input"], +Cell[400495, 15025, 313, 12, 35, "Output"], +Cell[400811, 15039, 190, 6, 37, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[401038, 15050, 192, 4, 70, "Input"], +Cell[401233, 15056, 456, 18, 38, "Output"], +Cell[401692, 15076, 393, 14, 56, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[402122, 15095, 141, 4, 70, "Input"], +Cell[402266, 15101, 397, 16, 60, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[402700, 15122, 161, 4, 70, "Input"], +Cell[402864, 15128, 319, 11, 59, "Output"] +}, Open ]], +Cell[403198, 15142, 205, 8, 70, "Text"], +Cell[CellGroupData[{ +Cell[403428, 15154, 702, 21, 70, "Input"], +Cell[404133, 15177, 694, 30, 38, "Output"], +Cell[404830, 15209, 749, 30, 56, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[405616, 15244, 1277, 37, 70, "Input"], +Cell[406896, 15283, 868, 38, 38, "Output"], +Cell[407767, 15323, 11986, 515, 250, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[419790, 15843, 579, 18, 70, "Input"], +Cell[420372, 15863, 168, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[420577, 15873, 120, 3, 70, "Input"], +Cell[420700, 15878, 5611, 244, 109, "Output"] +}, Open ]], +Cell[426326, 16125, 185, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[426536, 16136, 54, 1, 70, "Input"], +Cell[426593, 16139, 15608, 541, 258, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[442238, 16685, 185, 5, 70, "Input"], +Cell[442426, 16692, 15252, 528, 256, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[457715, 17225, 235, 7, 70, "Input"], +Cell[457953, 17234, 2414, 97, 43, "Output"] +}, Open ]], +Cell[460382, 17334, 279, 6, 70, "Text"], +Cell[CellGroupData[{ +Cell[460686, 17344, 116, 3, 70, "Input"], +Cell[460805, 17349, 325, 13, 39, "Output"] +}, Open ]], +Cell[461145, 17365, 111, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[461281, 17373, 270, 7, 70, "Input"], +Cell[461554, 17382, 523, 22, 42, "Output"], +Cell[462080, 17406, 596, 26, 44, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[462713, 17437, 270, 7, 70, "Input"], +Cell[462986, 17446, 523, 22, 42, "Output"], +Cell[463512, 17470, 399, 16, 60, "Output"] +}, Open ]], +Cell[463926, 17489, 248, 3, 70, "Text"] +}, Open ]], +Cell[CellGroupData[{ +Cell[464211, 17497, 24, 0, 70, "Section"], +Cell[464238, 17499, 141, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[464404, 17507, 231, 6, 70, "Input"], +Cell[464638, 17515, 602, 20, 61, "Output"] +}, Open ]], +Cell[465255, 17538, 70, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[465350, 17542, 128, 4, 70, "Input"], +Cell[465481, 17548, 602, 20, 61, "Output"] +}, Open ]], +Cell[466098, 17571, 49, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[466172, 17575, 318, 11, 70, "Input"], +Cell[466493, 17588, 2272, 74, 64, "Output"] +}, Open ]], +Cell[468780, 17665, 357, 9, 70, "Text"], +Cell[CellGroupData[{ +Cell[469162, 17678, 143, 3, 70, "Input"], +Cell[469308, 17683, 15608, 541, 258, "Output"], +Cell[484919, 18226, 2873, 94, 62, "Output"] +}, Open ]], +Cell[487807, 18323, 246, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[488078, 18331, 58, 0, 70, "Subsection"], +Cell[488139, 18333, 144, 3, 70, "Text"], +Cell[488286, 18338, 75, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[488386, 18342, 489, 15, 70, "Input"], +Cell[488878, 18359, 2391, 80, 64, "Output"], +Cell[491272, 18441, 2780, 88, 64, "Output"], +Cell[494055, 18531, 457, 15, 51, "Output"] +}, Open ]], +Cell[494527, 18549, 43, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[494595, 18553, 509, 16, 70, "Input"], +Cell[495107, 18571, 2556, 84, 64, "Output"], +Cell[497666, 18657, 397, 13, 51, "Output"] +}, Open ]], +Cell[498078, 18673, 303, 6, 70, "Text"], +Cell[CellGroupData[{ +Cell[498406, 18683, 355, 11, 70, "Input"], +Cell[498764, 18696, 2369, 88, 66, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[501182, 18790, 29, 0, 70, "Subsection"], +Cell[501214, 18792, 388, 12, 70, "Text"], +Cell[CellGroupData[{ +Cell[501627, 18808, 363, 12, 70, "Input"], +Cell[501993, 18822, 1531, 56, 60, "Output"], +Cell[503527, 18880, 2292, 75, 67, "Output"] +}, Open ]], +Cell[505834, 18958, 136, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[505995, 18967, 932, 32, 70, "Input"], +Cell[506930, 19001, 3264, 106, 77, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[510231, 19112, 134, 4, 70, "Input"], +Cell[510368, 19118, 5686, 165, 143, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[516091, 19288, 843, 28, 70, "Input"], +Cell[516937, 19318, 3087, 101, 64, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[520061, 19424, 549, 18, 70, "Input"], +Cell[520613, 19444, 5121, 155, 113, "Output"] +}, Open ]], +Cell[525749, 19602, 182, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[525956, 19611, 561, 17, 70, "Input"], +Cell[526520, 19630, 3609, 129, 64, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[530166, 19764, 161, 5, 70, "Input"], +Cell[530330, 19771, 12983, 411, 227, "Output"] +}, Open ]], +Cell[543328, 20185, 24, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[543377, 20189, 653, 21, 70, "Input"], +Cell[544033, 20212, 4885, 176, 64, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[548955, 20393, 172, 5, 70, "Input"], +Cell[549130, 20400, 33158, 1072, 443, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[582337, 21478, 48, 0, 70, "Subsection"], +Cell[582388, 21480, 300, 12, 70, "Text"], +Cell[582691, 21494, 525, 13, 70, "Text"], +Cell[CellGroupData[{ +Cell[583241, 21511, 245, 7, 70, "Input"], +Cell[583489, 21520, 538, 19, 64, "Output"], +Cell[584030, 21541, 168, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[584235, 21551, 259, 7, 70, "Input"], +Cell[584497, 21560, 1382, 49, 61, "Output"], +Cell[585882, 21611, 1322, 45, 61, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[587241, 21661, 464, 15, 70, "Input"], +Cell[587708, 21678, 2942, 98, 64, "Output"], +Cell[590653, 21778, 168, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[590858, 21788, 438, 14, 70, "Input"], +Cell[591299, 21804, 3553, 122, 64, "Output"], +Cell[594855, 21928, 4128, 134, 64, "Output"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[599032, 22068, 25, 0, 70, "Subsection"], +Cell[599060, 22070, 140, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[599225, 22078, 351, 11, 70, "Input"], +Cell[599579, 22091, 1088, 43, 63, "Output"], +Cell[600670, 22136, 948, 34, 67, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[601655, 22175, 494, 17, 70, "Input"], +Cell[602152, 22194, 2047, 74, 66, "Output"], +Cell[604202, 22270, 4797, 165, 68, "Output"] +}, Open ]], +Cell[609014, 22438, 269, 7, 70, "Text"], +Cell[609286, 22447, 220, 6, 70, "Input"], +Cell[CellGroupData[{ +Cell[609531, 22457, 106, 3, 70, "Input"], +Cell[609640, 22462, 1678, 61, 66, "Output"] +}, Open ]], +Cell[611333, 22526, 210, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[611568, 22535, 154, 4, 70, "Input"], +Cell[611725, 22541, 1421, 54, 56, "Output"] +}, Open ]], +Cell[613161, 22598, 192, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[613378, 22609, 369, 10, 70, "Input"], +Cell[613750, 22621, 1676, 60, 61, "Output"], +Cell[615429, 22683, 1413, 50, 42, "Output"] +}, Open ]], +Cell[616857, 22736, 154, 3, 70, "Text"], +Cell[CellGroupData[{ +Cell[617036, 22743, 503, 16, 70, "Input"], +Cell[617542, 22761, 2162, 83, 63, "Output"], +Cell[619707, 22846, 170940, 5794, 1857, "Output"] +}, Open ]], +Cell[790662, 28643, 153, 3, 70, "Text"], +Cell[CellGroupData[{ +Cell[790840, 28650, 180, 4, 70, "Input"], +Cell[791023, 28656, 5923, 197, 107, "Output"] +}, Open ]], +Cell[796961, 28856, 251, 6, 70, "Text"], +Cell[CellGroupData[{ +Cell[797237, 28866, 187, 5, 70, "Input"], +Cell[797427, 28873, 6932, 260, 114, "Output"] +}, Open ]], +Cell[804374, 29136, 142, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[804541, 29144, 90, 2, 27, "Input"], +Cell[804634, 29148, 104286, 1718, 1164, "Output", + CellTags->"RasterizedOutput", + CellID->2052559508] }, Open ]] }, Open ]], - -Cell[" ", "FooterCell"] -}, -Saveable->False, -ScreenStyleEnvironment->"Working", -WindowSize->{725, 750}, -WindowMargins->{{0, Automatic}, {Automatic, 31}}, -WindowTitle->"Short introduction", -TaggingRules->{ - "ModificationHighlight" -> False, "ColorType" -> "TutorialColor", - "LinkTrails" -> GridBox[{{ - RowBox[{ - ButtonBox[ - "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", - BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> - Left], "ExampleCounter" -> 1, "NeedPlatMsgIn" -> None, "RootCaptions" -> - "", "Metadata" -> { - "built" -> "{2020, 1, 5, 19, 4, 31.052818}", - "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", - "keywords" -> {}, "specialkeywords" -> {}, - "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> - "Feyn Calc Tutorial", "language" -> "en", "paclet" -> "FeynCalc", - "status" -> "None", "summary" -> - "FeynCalc is a Mathematica package for algebraic calculations in high \ -energy physics. It provides tools for Lorentz structure manipulations, Dirac \ -algebra manipulations, color factor calculations, Feynman rule derivation, \ -Feynman loop integral calculations (e.g. Passarino-Veltman reduction) and \ -noncommutative algebra calculations, as well as various tabulations of \ -Feynman parameter integrals, Mellin transforms^\[Dagger], convolutions, \ -lagrangians and Feynman rules. Also, translation facilities are provided to \ -change the FeynCalc syntax to and from FORM syntax and to generate FORTRAN \ -code. Some functions for input of objects like p^\[Mu],\[Gamma]^\[Nu],g^\[Mu] \ -\[Nu], \[CurlyEpsilon]^\[Mu] \[Nu] \[Rho] \[Sigma], etc. (abbreviations in \ -parentheses) are: GA (Dirac matrix), GS (Dirac slash), FV (4-vector), LC \ -(Levi-Civita tensor), MT (metric tensor), Spinor, SUNDelta, SUNFDelta, SUNF, \ -SP (scalar product)", "synonyms" -> {}, "tabletags" -> - DocumentationBuild`Make`Private`tabletaggingrules$298733, "title" -> - "Short introduction", "titlemodifier" -> "", "windowtitle" -> - "Short introduction", "type" -> "Tutorial", "uri" -> - "FeynCalc/tutorial/Intro"}, "SearchTextTranslated" -> ""}, -FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)", -StyleDefinitions->Notebook[{ - Cell[ - StyleData[ - StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], - Cell[ - StyleData["Input"], CellContext -> Notebook], - Cell[ - StyleData["Output"], CellContext -> Notebook], - Cell[ - StyleData["TutorialMoreAboutSection"], - CellGroupingRules -> {"SectionGrouping", 30}], - Cell[ - StyleData["RelatedTutorialsSection"], - CellGroupingRules -> {"SectionGrouping", 30}], - Cell[ - StyleData["TutorialRelatedLinksSection"], - CellGroupingRules -> {"SectionGrouping", 30}]}, Visible -> False, - FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", - StyleDefinitions -> "Default.nb"] -] -(* End of Notebook Content *) - -(* Internal cache information *) -(*CellTagsOutline -CellTagsIndex->{ - "intro"->{ - Cell[17584, 355, 94, 2, 33, "Text", - CellTags->"intro", - CellID->1227796187], - Cell[19431, 430, 111, 2, 33, "Text", - CellTags->"intro", - CellID->1006364145], - Cell[21195, 499, 559, 21, 61, "Text", - CellTags->"intro", - CellID->716203363], - Cell[21757, 522, 114, 2, 33, "Text", - CellTags->"intro", - CellID->1566592169], - Cell[21874, 526, 470, 13, 39, "SmallText", - CellTags->{"intro", "introfoot"}, - CellID->721081683]}, - "introfoot"->{ - Cell[21874, 526, 470, 13, 39, "SmallText", - CellTags->{"intro", "introfoot"}, - CellID->721081683]}, - "Load FeynCalc"->{ - Cell[22369, 543, 96, 2, 63, "Section", - CellTags->{"Load FeynCalc", "start"}, - CellID->1726202394]}, - "start"->{ - Cell[22369, 543, 96, 2, 63, "Section", - CellTags->{"Load FeynCalc", "start"}, - CellID->1726202394]}, - "About Extras"->{ - Cell[24895, 643, 107, 3, 63, "Section", - PageBreakAbove->True, - CellTags->"About Extras", - CellID->2100607586], - Cell[25005, 648, 495, 9, 117, "Text", - CellTags->"About Extras", - CellID->953459903]}, - "tarcer"->{ - Cell[25525, 661, 69, 2, 52, "Subsection", - CellTags->"tarcer", - CellID->906844505], - Cell[26121, 685, 155, 5, 27, "Input", - CellTags->"tarcer", - CellID->843778896]}, - "phi"->{ - Cell[26561, 705, 64, 2, 52, "Subsection", - CellTags->"phi", - CellID->932055296], - Cell[26628, 709, 501, 11, 117, "Text", - CellTags->"phi", - CellID->1893421836], - Cell[27132, 722, 89, 2, 33, "Text", - CellTags->"phi", - CellID->528666319], - Cell[27224, 726, 115, 4, 27, "Input", - CellTags->"phi", - CellID->798844745], - Cell[27342, 732, 146, 5, 33, "Text", - CellTags->"phi", - CellID->1295431310], - Cell[27491, 739, 289, 10, 33, "Text", - CellTags->"phi", - CellID->1431249758]}, - "Example Calculations"->{ - Cell[31427, 874, 126, 3, 63, "Section", - PageBreakAbove->True, - CellTags->{"Example Calculations", "ex"}, - CellID->1007300369]}, - "ex"->{ - Cell[31427, 874, 126, 3, 63, "Section", - PageBreakAbove->True, - CellTags->{"Example Calculations", "ex"}, - CellID->1007300369]} - } -*) -(*CellTagsIndex -CellTagsIndex->{ - {"intro", 35203, 971}, - {"introfoot", 35664, 987}, - {"Load FeynCalc", 35790, 991}, - {"start", 35909, 995}, - {"About Extras", 36035, 999}, - {"tarcer", 36261, 1007}, - {"phi", 36448, 1014}, - {"Example Calculations", 36979, 1033}, - {"ex", 37125, 1038} - } -*) -(*NotebookFileOutline -Notebook[{ -Cell[590, 21, 2283, 53, 53, "AnchorBarGrid", - CellID->1], Cell[CellGroupData[{ -Cell[2898, 78, 55, 1, 47, "Title", - CellID->509267359], -Cell[2956, 81, 12217, 189, 66, "TutorialJumpBox"], -Cell[15176, 272, 855, 20, 164, "Text", - CellID->1534169418], -Cell[16034, 294, 508, 15, 55, "Text", - CellID->1157525339], -Cell[16545, 311, 1036, 42, 54, "Text", - CellID->757206658], -Cell[17584, 355, 94, 2, 33, "Text", - CellTags->"intro", - CellID->1227796187], -Cell[17681, 359, 1747, 69, 75, "Text", - CellID->833014432], -Cell[19431, 430, 111, 2, 33, "Text", - CellTags->"intro", - CellID->1006364145], -Cell[19545, 434, 741, 30, 33, "Text", - CellID->571834673], -Cell[20289, 466, 177, 4, 54, "Text", - CellID->4750988], +Cell[908969, 30872, 36, 0, 70, "Subsection"], +Cell[909008, 30874, 181, 6, 70, "Text"], Cell[CellGroupData[{ -Cell[20491, 474, 192, 6, 27, "Input", - CellID->1220639322], -Cell[20686, 482, 254, 7, 37, "Output", - CellID->1760930313] +Cell[909214, 30884, 470, 16, 70, "Input"], +Cell[909687, 30902, 2568, 95, 65, "Output"] }, Open ]], -Cell[20955, 492, 237, 5, 75, "Text", - CellID->1833132382], -Cell[21195, 499, 559, 21, 61, "Text", - CellTags->"intro", - CellID->716203363], -Cell[21757, 522, 114, 2, 33, "Text", - CellTags->"intro", - CellID->1566592169], -Cell[21874, 526, 470, 13, 39, "SmallText", - CellTags->{"intro", "introfoot"}, - CellID->721081683], Cell[CellGroupData[{ -Cell[22369, 543, 96, 2, 63, "Section", - CellTags->{"Load FeynCalc", "start"}, - CellID->1726202394], -Cell[22468, 547, 253, 7, 54, "Text", - CellID->846823627], +Cell[912292, 31002, 166, 5, 70, "Input"], +Cell[912461, 31009, 4003, 130, 68, "Output"] +}, Open ]], Cell[CellGroupData[{ -Cell[22746, 558, 196, 6, 27, "Input", - CellID->1006438652], -Cell[22945, 566, 232, 7, 37, "Output", - CellID->205843633] +Cell[916501, 31144, 441, 14, 70, "Input"], +Cell[916945, 31160, 3067, 115, 62, "Output"] }, Open ]], -Cell[23192, 576, 390, 11, 95, "Text", - CellID->469196418], -Cell[23585, 589, 484, 14, 95, "Text", - CellID->434623157], -Cell[24072, 605, 173, 6, 33, "Text", - CellID->13342743], -Cell[24248, 613, 135, 4, 27, "Input", - CellID->2016141554], -Cell[24386, 619, 50, 1, 33, "Text", - CellID->491195527], -Cell[24439, 622, 36, 1, 32, "Text", - CellID->351638376], -Cell[24478, 625, 380, 13, 75, "Text", - CellID->430968534] +Cell[CellGroupData[{ +Cell[920049, 31280, 166, 5, 70, "Input"], +Cell[920218, 31287, 10541, 364, 171, "Output"] }, Open ]], +Cell[930774, 31654, 109, 3, 70, "Text"], Cell[CellGroupData[{ -Cell[24895, 643, 107, 3, 63, "Section", - PageBreakAbove->True, - CellTags->"About Extras", - CellID->2100607586], -Cell[25005, 648, 495, 9, 117, "Text", - CellTags->"About Extras", - CellID->953459903], +Cell[930908, 31661, 566, 19, 70, "Input"], +Cell[931477, 31682, 3115, 114, 68, "Output"] +}, Open ]], Cell[CellGroupData[{ -Cell[25525, 661, 69, 2, 52, "Subsection", - CellTags->"tarcer", - CellID->906844505], -Cell[25597, 665, 398, 13, 55, "Text", - CellID->1972678903], -Cell[25998, 680, 120, 3, 33, "Text", - CellID->1513547103], -Cell[26121, 685, 155, 5, 27, "Input", - CellTags->"tarcer", - CellID->843778896], -Cell[26279, 692, 245, 8, 53, "Text", - CellID->998781867] +Cell[934629, 31801, 196, 6, 70, "Input"], +Cell[934828, 31809, 342141, 11716, 3088, "Output"] }, Open ]], +Cell[1276984, 43528, 510, 17, 70, "Text"], Cell[CellGroupData[{ -Cell[26561, 705, 64, 2, 52, "Subsection", - CellTags->"phi", - CellID->932055296], -Cell[26628, 709, 501, 11, 117, "Text", - CellTags->"phi", - CellID->1893421836], -Cell[27132, 722, 89, 2, 33, "Text", - CellTags->"phi", - CellID->528666319], -Cell[27224, 726, 115, 4, 27, "Input", - CellTags->"phi", - CellID->798844745], -Cell[27342, 732, 146, 5, 33, "Text", - CellTags->"phi", - CellID->1295431310], -Cell[27491, 739, 289, 10, 33, "Text", - CellTags->"phi", - CellID->1431249758] +Cell[1277519, 43549, 353, 12, 70, "Input"], +Cell[1277875, 43563, 98521, 3330, 868, "Output"] }, Open ]], +Cell[1376411, 46896, 36, 0, 70, "Text"], +Cell[1376450, 46898, 351, 11, 70, "Input"], Cell[CellGroupData[{ -Cell[27817, 754, 51, 1, 52, "Subsection", - CellID->1026891602], -Cell[27871, 757, 987, 29, 120, "Text", - CellID->1730838623], -Cell[28861, 788, 343, 6, 96, "Text", - CellID->1031127518], -Cell[29207, 796, 380, 7, 96, "Text", - CellID->791617764], -Cell[29590, 805, 327, 6, 95, "Text", - CellID->895418169], -Cell[29920, 813, 218, 5, 54, "Text", - CellID->2088550082], +Cell[1376826, 46913, 168, 5, 70, "Input"], +Cell[1376997, 46920, 76275, 2607, 731, "Output"] +}, Open ]], +Cell[1453287, 49530, 54, 0, 70, "Text"], +Cell[1453344, 49532, 94, 2, 70, "Input"] +}, Open ]], Cell[CellGroupData[{ -Cell[30163, 822, 88, 2, 27, "Input", - CellID->606741564], -Cell[30254, 826, 254, 7, 37, "Output", - CellID->1253899115] +Cell[1453475, 49539, 41, 0, 70, "Subsection"], +Cell[1453519, 49541, 124, 3, 70, "Text"], +Cell[1453646, 49546, 98, 2, 70, "Text"], +Cell[CellGroupData[{ +Cell[1453769, 49552, 8237, 239, 70, "Input"], +Cell[1462009, 49793, 27302, 959, 378, "Output"] }, Open ]], -Cell[30523, 836, 141, 6, 33, "Text", - CellID->1310937107], -Cell[30667, 844, 166, 5, 27, "Input", - CellID->342627804], -Cell[30836, 851, 283, 7, 75, "Text", - CellID->570125418], -Cell[31122, 860, 167, 5, 27, "Input", - CellID->1900750623], -Cell[31292, 867, 86, 1, 33, "Text", - CellID->1315560355] -}, Open ]] +Cell[1489326, 50755, 242, 6, 70, "Text"], +Cell[CellGroupData[{ +Cell[1489593, 50765, 220, 6, 70, "Input"], +Cell[1489816, 50773, 179035, 6720, 2738, "Output"] }, Open ]], Cell[CellGroupData[{ -Cell[31427, 874, 126, 3, 63, "Section", - PageBreakAbove->True, - CellTags->{"Example Calculations", "ex"}, - CellID->1007300369], -Cell[31556, 879, 111, 3, 33, "Text", - CellID->1268182373], +Cell[1668888, 57498, 118, 3, 70, "Input"], +Cell[1669009, 57503, 114671, 3961, 2137, "Output"] +}, Open ]], +Cell[1783695, 61467, 125, 3, 70, "Text"], Cell[CellGroupData[{ -Cell[31692, 886, 192, 6, 27, "Input", - CellID->1877395502], -Cell[31887, 894, 253, 7, 37, "Output", - CellID->727521100] +Cell[1783845, 61474, 379, 11, 70, "Input"], +Cell[1784227, 61487, 61178, 2044, 1269, "Output"] +}, Open ]], +Cell[1845420, 63534, 226, 7, 70, "Text"], +Cell[CellGroupData[{ +Cell[1845671, 63545, 415, 12, 70, "Input"], +Cell[1846089, 63559, 61292, 2031, 721, "Output"] +}, Open ]], +Cell[1907396, 65593, 146, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[1907567, 65601, 240, 6, 70, "Input"], +Cell[1907810, 65609, 630, 25, 42, "Output"], +Cell[1908443, 65636, 610, 24, 39, "Output"] +}, Open ]], +Cell[1909068, 65663, 245, 6, 70, "Text"], +Cell[1909316, 65671, 198, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[1909539, 65680, 370, 12, 70, "Input"], +Cell[1909912, 65694, 1613, 52, 64, "Output"], +Cell[1911528, 65748, 171, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1911736, 65758, 406, 13, 70, "Input"], +Cell[1912145, 65773, 1709, 53, 64, "Output"], +Cell[1913857, 65828, 171, 5, 35, "Output"] +}, Open ]], +Cell[1914043, 65836, 165, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[1914233, 65845, 396, 13, 70, "Input"], +Cell[1914632, 65860, 2222, 70, 64, "Output"] +}, Open ]], +Cell[1916869, 65933, 40, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[1916934, 65937, 437, 14, 70, "Input"], +Cell[1917374, 65953, 1430, 50, 64, "Output"], +Cell[1918807, 66005, 172, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1919016, 66015, 437, 14, 70, "Input"], +Cell[1919456, 66031, 2406, 81, 64, "Output"], +Cell[1921865, 66114, 171, 5, 35, "Output"] +}, Open ]], +Cell[1922051, 66122, 47, 0, 70, "Text"], +Cell[CellGroupData[{ +Cell[1922123, 66126, 423, 13, 70, "Input"], +Cell[1922549, 66141, 3678, 122, 64, "Output"] +}, Open ]], +Cell[1926242, 66266, 93, 2, 70, "Text"], +Cell[CellGroupData[{ +Cell[1926360, 66272, 645, 21, 70, "Input"], +Cell[1927008, 66295, 3415, 124, 64, "Output"], +Cell[1930426, 66421, 172, 5, 35, "Output"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1930635, 66431, 654, 21, 70, "Input"], +Cell[1931292, 66454, 4000, 133, 64, "Output"], +Cell[1935295, 66589, 171, 5, 35, "Output"] +}, Open ]], +Cell[1935481, 66597, 148, 4, 70, "Text"], +Cell[CellGroupData[{ +Cell[1935654, 66605, 189, 6, 70, "Input"], +Cell[1935846, 66613, 9664, 292, 163, "Output"] +}, Open ]], +Cell[1945525, 66908, 175, 5, 70, "Text"], +Cell[CellGroupData[{ +Cell[1945725, 66917, 280, 9, 70, "Input"], +Cell[1946008, 66928, 241, 8, 37, "Output"] +}, Open ]] }, Open ]] }, Open ]] }, Open ]], -Cell[32179, 906, 23, 0, 41, "FooterCell"] +Cell[1946300, 66942, 23, 0, 70, "FooterCell"] } ] *)

Zu8!H*WlNwc zYuHj8(j=ThY30ULhn%YmhP?8`fUQv+x9ni@`rI8Km@%k)evJ79E9(_J_&Q0Rx}79L zCQ)#(4#Ebf2rWaeZKgka&jazO#;k*ERtP3QC^*r;dRjfEF7(e3+llZtEI8g)7DVGvx$DSP#H!pCLjdS&NL1WBBP?5B8&Ad>(uA*u%A?yyG z5t?qHJMK6(7hV81N8q@ug94W{dz*k@*@i90Q7a)ughs(0RoM|a7hBI-2|Xi}K`=`T zI2|`;(YIOwAsZv}f)(7^9#gIt&0f(Lno1_so1unzqC;6pjeH_pNyf0RiXPZ9oVugJQ9m9 zbB}})dj4M726~~tYy*9ZPq3x%vt3sHtI&j-_Z?O$Nc%lj3ybOF6fS0|hNX<}1+>&S$61yWE zg$!OcX}Wk8uNK{&ubzSCSTNH88yIR-Fnfjp=X2^7liBmq(;Y~w&$I!gej|*&Wh;>( zXWCH5g`{|_-wi7Y$a&vjTMu!FZxNV?0It75wxfV2qBhTVE5Fq1d8Gc*DF|F&^D5EQ z8E!8NMXz988ka9A&#Y7Gs4;jiq6M+Qh%7NBoihzT2QX>3xkSXAZWM6yn-zPNerck5 z%QEadw*=IOMmz<{#%vfsJcrAV8!~8d72KEC&?EZi3fsm>upa{QImt4}dau27F$qEs zh2b@-R^E(rSwt}k1B(hhjCCH9v-41oD4*))7AX~}oh%_jN zGdIIQR)w3q*5%yL=W7AwVTD?E_YGd^aY5&OP9mwoIF9RLw=c#FH?LdbhP1@Y6Q!*}ibImJ3uz+~p&WTjHR=m~%}pZBoha_$t--DN zE)(p=sX6u-_&xPvQ<(#F(RqpZ{I*l`P79#mHUuae3PCJ1H(07I{5+@T;5{~VPc&*i z??0=~_aW8F*PRTO9GcN5fj_g?>48nW;Le=a#2rFoa>=yVaBb6kWqJqpZa-A;r(q|&g5>N)x$_f+w~9QMPX){69qcHwt9p0m?UZM%6FJJUDK?0- z;tLr;(zT_da6PG<(HJ3yc-Lt;s&~sy%@+NV=DH8PCIv=)bf6SB`_)*J_Fz~z@+Gdz z$68_o{NLyeEZ#dYA%MLOS;yM84Q!m4ofs>^EtsWnDp~>1eRT!wmh*MFm)FdlNoBzx z*aXqTv9T)!pJfW}5U5|)jnK3upXGm+%W}{)j$QqFiC@q{p}A|!G^IH3C)eMGC1m=PDr8;vBSMib9wc)twbcsx12Z@ zbiKPTHZ!1hNG zgAo}!wF!$TmbXz2TgSt<)Yt0@{Vkg4*K13Og0yBa>4)0hFg-5Yv)}SNCTn)_HXnIH z1x3|V&_r(j)SK=_Dvw_r=o;j&;XQutU>6e~e2f5mPBjfwzs zdk#9tc+)Kz!{AgPN!)B#% zR=%Jqs(gH~y`U>9#rn*;?WBd=uY!=0h}*+;#j1j1WdLL+D3CvbOBD4x6Ly$Ck$3T| zewQcfrd4IMDQOq1lxBN}UQ$`(=UXBz87_4`S6B(v6bIP=xz;+abjX3o)o9U>vcG9j zeB?NC=A7G(@e09>XT~^QwZO&ss3iOFveI9D+cxLunIIFpJ^)?D%>mKehWv$nh7;u_ z?5|FFSih`yJ#FL!g2n<3f!|9`!oH`W&a;;7>anLg)zHT+^!uM8h7xEP zm*&~dE3?-sL{TR^#m#GN@itfpwf=B%C7;3t9#&`)#v6}u0M_p^qdds{~CA6@(Wl636JpJpl*@FH*V$s$KKnAH2d{=Vxw0sV-huqF~%6* zj_bHiuwrd0 zAuFyEY-)puglw=utPNttrmhXae!k~iR}$~v@Au5?&X)djpZoU8xz2UY_q<*&-}8O> z{I9^)38+a6Y+Ge7g8d(PnP46^mMZ`Ryi|0cbl}mR_y6#-D9ZhYr})ot*AUJxIc4w| zpkn*1J8XAY9F;$?!T&dd`F(3jH^~nh2BRwJnUe(%Z#v9(YB=EUMK_sZ+|@?#__^s$ zbl-O;yMfqwiZ53L*tgx)xRl3zCw8tklMMI^QLD}WrsQchUw2%4Y?4&7Ho1A7CzD#53S`}3V+weiNQjO)#^lkFsy@4uHjmMVb z5gtwjA!<2oa*1Dodzk|LH+a3Tx_Au}Ql|Q_PqT$NbmFiGY$=x z--T?C*y)#;LQ$Toi z_%9(OAS2h5C8mn&Xyg7t*O&v*!Q^N@#aDpnys5B*zGNcc-WxUT`W9mL7UK2dgD(G} zc2fa~m2Vm!S$GvByFGH<%cW4@&b{*GXFf1{J*9qFb1KdarzKe(oO&04^IjP8aOejW z^yKpO=dgNncXvR2+|O3nLG@nap&AQk-6+VOV!S}6spN|-&F{=Qv%$_ z0Iin{8t9`SUYl--k$45K+Vrr?a&6dCODf5bQd59cx*Q_7$ySR0M>BBHT1=1qcWNLA zW@?wLdjRS+zyouCV(PvBR{hcc1*YzUJ&f!MNFMN^%%SNRFx^T$!=3x__c+!0$9R|j zBdsA1B*$TT&rPt~;I9v7OfP}-a=aD}(i_ws4FII~xIJ5&?Ixh!J0=d{ zD81pfmvI@NH#88NfY)WVt>?y2kzeDhfejnE*CfY^UqE@E22LxV@s}NlneYWs{*6!c z73t2$Fq6s{`UZ#S|2f=wFB#zhTlOZ7O%wPMUml4l$t}2N5VC9E;7_6Mega~Z25D1t z8<&h-g0n;jmjp}+x?`B?spReqOX3oKVqm9F9?b-g(aYx*+2FwJOdTMoE*V!fL4^Sc z@SosU@D&+@#ccATiU|po7dM|v2^at$Rt0(b{~zGtpS`bARrWG~llaU5&6x(yGu9hV z>-GlE$9DQ|wQyqPZOCe2GglPXKTbbQ-`Be9)=D;vdnJ+DsPdrpusn|Ms{nhlKPV1s z6IJ1=CCEsE>R9DVnYU%B0=}N0<9l0r}?OQQ3;>V--Lex@4vyuoRTLgnzHqfq>W7zAvNT-Yu$yE)Tm5mWw*BAwuL?+ga*@!*=?R}A~%Pm)WM zAGc+3PB>{0z)dZ~|2o@wl#OvNz-@d&M!0YGPw(6C*iF?zeSwT~2yXYK4z8E>OmH3) zY=IgI{GQ!gPVxG|h>|-dZpa-mu36YSG@+2B1lz{rVh+yDKK#hA>9CYceHhGcm#<#( z;B=!(*16Sij}4zC_nN0x;aAB}mF!W4B`q^Vg)_5E6LjJnP0Ll+gHg$V)Lo37FeyBh zF&6=BbQtdLrD!i@=EMI8?)8tSug6w;e%dH=c}#gy?{0u4W}(vcX))8dCQVw|EK{!T zulpOW(UI~K4=xLynO_Vs$=dR^KT-zEO5ZTk)Lm*>fuEGpZ)_PIR_tKjm4zCPO);&% z6efkS-X~GA4P3FD;(jJ0EU4Mvlx!)-I=)?#_nkc49~d1*$++3?)m|PR1hS{TrzLk!jk~rf5lio859*hj(0~S zGa=tRz!#gzRX@R0ii{9V6r9{xXQ% z=jl(=rU39ZgaC0>fg<=1=oB7C3N>;irh|Rc`gOva z`A!|KKdmO6SzpypD97#>lYh%-`_sr_(~0q^G+U7=f!kJC4$VR<^{wc+3me`LFF<4q zZPeH4=aHRyIG!m5R$`FGVp+H^PS}DY@3yB|Nx_)-ozyHjCwqeLAYkC8`X2xh{#^8j z5(sWqxmg5kpM#>!k{symBj)zaVu4=Yr@-HM*dH&us7&|ACccHfO-wB{F4j7mE^0_U z>b&v1=#23p3|k3rNySCk&B#UBR^yYnr_Wi+k!I2+9t<9cTL?P4)>RGHAzrL1Y_;yI zp)Djj)e-{kVbQ7Z$2Urc0*=$N^PdEG`_+G%y#Vf(LEVlE9PRc*AL#M*+*d+y4VLb+ z&R)MuZNuhrpzlU^KygC6jn)e8dRXZZ!tD}l^d$o@!nl3XNa(hbDDt5(%_UD8bu0B? z_So0wI&_qk*Vs|4gOq6BbUt#TidvnO4AhpOY`^(NxM2^{EjCL0OX1vv@34{ghO}|X zV#lcDplny_FYBKc!hkgR&_q=!BRS^1 z&Kv}7XmrW)Tyd_1@U18hJu70zk*QSPjrwQfqmoGknHip&wk;R*=zFSVpNub~%s4Yr zLGZKdB^-VB#S%8{R5R?^ecRQ@=P04eF81Wi*vXLVOtU$2+5g%S?}sV2x9i#n4VhH6 ztQjD9#)uOYqO;I(3n~PBr1*q=n`{>=s{ym25n(qZ`~y6(3lU>~LI>Rme#|$1ReNE`loM3!9=f|#@~HNY zM{1dL>E9MCcE9R)9Gia^wU@QwTIkL$0#+_sds8cmq?XGHHivE|lbsSsEJ4KDyO^3G zlUZGjhub6LneprK+wr?`uA~DE9Xz-J37ZFm{YEV}+r>83k1Lnz;AS44wQguDox{Oy z!`B>qNS57NpQm4@@d-Y?JOO|h(&4>q{t*D!q-1}HHB14FHshjiYQONUt`amM47nQ^9IG(nxCJQ!)tbNOuarzOeUM+lMc*;8Wu2s zfTcC+FG+S@wujrvwphk}g^Dp_8VMZKK10fSWRCqUEGRkjg_6p03tR$`LsydRJ!w~! zVbG?)AUf@JMo+*Bg&<2bh^fY9jdKd4Q2>~z|Uw+vamPX{Ph z_~#~P+-NoS2%xK10Ofkz2Mh9an}p^Xsd`0y()?dlWK?@~8`gAbObi-ey?b2|typdG zb$wX}zVU10lbV)@e;S;Uv@9UXh3{4H;PDE+K5lg*C&kC`4GKdnfv{TrqKL0v)u-Z0 zJOfk*M6#`q>NpCg^66FTF_nxA?5S+6~J+(DQyl@T@WrD`e^i zE%9mc$qIw`X!rf_gTdbtY+STH8n)r7ObnCOfnUjev@n@+;}WwxMCav@vn>3XmmZeP zY~#Oyda@V0S9z3F^4q!ykUR`+P@Ak}YuGvMvfk@qHFwkutgtf$WX>z)85kblh)+dx zPnw;g9eiFQ#EWr{7=>%4uXMTW_n?*Uww|{97W_#7Cb=jGchTqNW}vs<6<@Tx*6*md zMLP;D*1AjCCk1nlN1VX#S)l{$R6ZBM5yNAZQOkTUJQo2h6{6u|K=+YOZVSF_F0^;b zQ|*VS*{*P+Pq!_X)#tTeUoOkmjPA*NphkznnsqVUlGT%gfKS}QOVy!<#hJB6JRfJi zK`@o@OFcE$RoCs|Dl%wP!y}a{QzCT4)xQI=JNR#~8o!Ye{&l@c3lAd|1=yvoekkvq z%p_FnNPP*=!^ z4<;^F^p7~3ZlPiH((AX$)(iwtN`m_hZN^3#USy&LyWG>#P)kg=T9v|%PadIky@>Eh z6JOv-cZ8n;Cmq7}=T~IXld>A^yV?ZvJ%f%5=a>gxY}3F(>#vDV`k#J*C;c1$KcJKT zW1y4%cR(ZkhtxZGFZ(mZ{|nfrk-3ko^~*FN@FBQ3nYU1R?cJ)2DAv9rA%1!MKR2xr zNa?xytqQAI_7n^^EF7tnoCP1{a7uqcFr|M1FF0iL!68Zk5c8-?!akL(QdY~)#*Uc_ zFYuc=EK*XUV4y2Mf<)@5du#mQc%%@R2bF7@m=aK=2jvilmHW$&%9l)As`y;E&D+Q1 zm3;3wf=|JK`S(^$XLPv#WfrRE=N!gw+fswfoYR~I<2s4S-nl&)}jMS`{*@|%ahhYd-NAS&+~HnZJH z4{qZ~nE`uc)zaQ!li)L7&wQFU>1l?2zGNw>)chd)Lu|0oo*wP!#q|5;r22N2?Zm`q zf3SPtQEzBo6~EQ>Df=7Q0d~@Fz#Ml^ab4^ag2f+2eZ0 z?eIQJY!pF?hHJlt6g})tSJJcI+kI1KH(iunm-#C;RCqWs|IkcQ^9`OThrH$ffvK}U zfhPLU@z_Ctj86;1xq)xPQk6hNx0M@801nay(6I_%OxXQhDP}fPgevgcWEJoy_Bm1o z|B4*SJ_^xSLQ&(8UxoNv+oY4XH+QFvwa!d!M3426(x3gBy^8tpJeoY7d{ON*duw)^UsVFRhs@!F1^^Gb zBlz^r)=gn~b0NUcV)MDraaH z(osfs?N4LR1Bua3(}x)xICN#)eM@~#%QA2#`(!H?+@Ioh-);R}{e4+R=NrG#73v^w zYFxF)X8I2O0`lqB;LW;-MOmQQwWN9MSP^7|Px?%Kw7RDxop1VJ{pf~D@#9=@?!G?6 zG-rQY+4iL#pR`Q5Lcqt`hvpt2v}F%-&^pC;?n#rdJM}oXHzj}RlKN&GeVrp^%#XRF zskPCQsmxqGP$p0HgB}ps0t&cME;3F6nO+m&IGg6^(M+ za#BiPlFZk_hI$Ej%PU2H_pI3`;?qP`0M2=(j1qGhC;#J(LK4x7;yg&F>Y<3>IsZBI z!6ECw+soVM>jOaN>Vo{(Kc4*Pyc&=^mUq6_OYodW8Zrk2<7ls85Sry2G9Oh!@+>Upi2d>7@*#8M=7ay7r+I;tw1{C?dIAOKsz5QF1P1xJPw)96( zHdp5HeOl)1PAZteF!pA0#;0rL$*CN|CcSwigiQ(H?5vXv1PEdCV;m?M9AJ~fYhKOo zSoZn@%*z|!%Y>Z7%djtll;tQCco+VLMYAm`K>t)rRiFb zVKh(K#w}V^fT8JINR93SR&t|ev*t&zGw*97aQaFc-Q;&y^0>v&GUM&Cg>9leqyB4Q zW!}}qYT`8vFY^e4#zR^H%RDt2wb(o+yi5q=ubXp%??Sjt+QA6UF znHQBZPNutK+j`X{D^dO!MrH(G7Q~kCsK0__!sO!L1|^eYWJ)p`c=ZKQ-Bs}|@U@DV z_Qy$6vT|?kwCR^)V{&B794_WAEp{3|85VO7y!L)q#!TRsGUz1%UP>PU7ZrpbzHL>} z-E0<=WB~K)xIu7=_csON+UZC7$4>YG3_ZUlrQwx?KpCkNJCd)6FL@}(zpsVc2wjy< zhhvRSr`PEKkSnss2`i~ol~cKVAX=OXgnBF=CoTvO_p|U9MLMlnr!(nvIEEDYcCli- ztdvzc`SW6(wo<3tL00*)D9|TmK8V8qflTkBiZaNVa+j$g|3J`b3$@9i@j_33k+HB+ zPSLGYf$lDvE;s8-=j3ckK`YYeqasbYXhcL5G$@H56^*P?)Ef=@a*ajR1AA#fGo{f8 z|2yi3San3F>(uFfU#Fvwe>o_rfmE{+6nX1Kl|`xKQ&O(1SJG_%Yf-0d(COxNy3=yG zd7J{qg-VGa!%H(N24$OQW&=V?1Qk#giooR0pcMr(rM4+8Gk?b*2qe73xmkEF(P=T$ zvpQY1PWPupI^BCEqmH3fN`oQx{FYVFYf#h#K)X1wE+iwc0+TR?uoJ!UKHAIYB8~ z&#JcIT}nZNyn;aWi5iMwP5m>iPTP&aY!pTKTN71iAsb8_vF)kTX_pqrG^bWf1F&O-6wWanl)W4qK~$w6mSfg6O07~0`j~D32SM~! z>a^23-D?}@(vXT`Ile448v05uR~a#LN)z&#K@G&H-Dab>WzcDVL#MmwL}eZ1bic0C{f9c;(zK{7S5gsBq=R6h;il0MMT3ep0yJoq)eG}R8asoa+^^SZ$91~j z*6H@ym$4wW>8%>vC&~amfiNR_bdJ^+kwo}k8g<%3d;(xTX#^4Uprk4{|KGTX1y8ZKgS|9pqZFUuH^}02j<0}XXi&$Ikc78^Vm|Er3aI}J zJWsN|+%OR=r+D7*?` zM*+bb9?+D`LQEmv^F4%T_Vdn;c5qc9^c6+0kZ|qlqx}2qc?945!kH+9#B-#D@pp}f zgm^37 z>k`;XmWZ*EM9F=L@BlvyPbH}m{!ITU5wazp$m~=uDqTuE+d&S7tRAJ{Q|>77l+T4T zr4UkHU}+#QxjD0ce4rfgul&j$DOeMH+$k6S%KvKx-YBK)*??1(>Z7!r?#c}aQnvYH z_dq2EQK?eUJmC4}RBHtDq1vx*jzMyeQqzK5*Boe0G^&tBxX^?(SJI+@_FzKupb=j* zuNveMMOPUt2za%q%7?gkRHjj>;GYulhqA{qY7srQg!OWz;6+=pBT;@*4s}-^!sS;i zdMhV9m8TGWMU$1EGC_|EifdN+w#({hclRwG!@hhKvt#(|mK_13FYV%BVC@1S#w5VmN< z&ARP6Hd(Yxs3T&m?x{}1l$c>mSWh#mjMm@OtAvkwAzS}h?`S}hpobHYhDPDCfj&2{ z8&vS*3HMZV#ooAx_m;SUXQh|Fz>rActTEImTr^%bVrDg1bkFQ66%iJjTuoH@dJ_)5 zrky4s(8OM07fonClwfa~Zkz6!VomX;MAK_ihIWcjs@c`N+#G6FnM}>UDy~^KtpZ+W zJJwz6o^{`PU=>fSr`CW~5JFbr!g^^Ht`NVm3UO<~iWl88J}L2hMUA4k-RfyYO(HF8 zwq!KR?{s2WLC0rEgw7xdH4V3gs#y^_=G!kFhUfbT<(rrSvO|Z8++MNK8#*-2g zOoT+0QTV5L@jbNTor+*odO8GO$4&>HrVwg$Ty;b`FhyvL^0ULoJ!SYSG4P3>Du-h%{cMJY* zG(FfYzeL^eBHH8a+3OLGdxAXzy-BZns4>D_PmD*{nby(Eeg)-5ui)tw{kbf1O{lpA_Lb0w*x|K0D~l?23`hU z2i|buV?fZt7t-L);QpW(7{rY8SFl)qH-ga=QzK$}1mqS+UHl!qIl4s=9}au?I~=81 z5X9)H%J4Rt9%YXks0-JtuEwHcczeE#QEQN+3qy;X2-_CCjmFD`*f_l?)8pueYK?Xh z&@w$fED{q>IMdTp5-BKS2}~Bg!SNRV-|BSQ=PCEJurj?qy)jKIhOLS-NZrq;g&X_` ziD^tAD7a>X<(ZWk%7Nz+W|V#|>0Eg?6Pppl=NT*=Bx6)JX8~l0B}RAN$82U+bj~f# zK}t6#?9Uz0i~e}-bnbReg$fO-72B$9)3#-!j}_E&iWffuKF;(hL_cg=_x#elp!dvs z@#5db-@*Lhynh~9v2N#S5#JyYRU`s z3-~q&BjsiRp9ex>K}g~R#b5%nAY>MV&jkS=3V5R{HT2y_p$#&SAz^}cy?%pG;t_r> z{2`9Oi5Gq${K<0BDj=J8iuQpLA1NX@_!zT10^0FP@n-QhoW<-H6P){T@mX=Qn4}GY zo$8d~);ZKVG-7rz@X$rRhEtP!yx&uJy?+4tjBtSkj`@{|jEIPtTDKw&bjL&f+3N!Yu6Q>WD*YG|a&yEnMHs#$|mOnROnU?UH= zBZH7UMKq|n&|GTnHA&5*CZ&1S5E5jTX9YS2M|LDoNBC-nTi-z0Sy>P-Z~!_AR}feT z&^b)tJXQ8uCZrJ|{6t5&uvjiY1(^c8UH~bv+*7^-^9+_0C=Zs$%ai4g<*&pQ+ACHo zHt8KsK@`aGLoRULfZGbb_E|FQQiV*#qSghdiFK{u)%xj4E{8CkkcU3p);OZvv-U;% zino1+5(#+@VOh7T6D0dsmLOTN(%qR4h4Fl<@Ta9ZEp`=v>W1(Wc?z=sAbN}PTwB>G ze`UZ$M=r3v&=Y{HF^Dx%9ffDTcx9pzTgnJ*JD4!P77Y^2mtozoVc5d^>d+t_<3|ox zhKO_q*q3DPLRyMRfEU6_m0W<(u@IoakqZ}9@SiK>;H>Ve9_Zpr6{hX4(DQ!@94hoQ z#9quOmoM^v;tIA^@ihktl<^(0Pours0VQBSNKx(UI083nw|cLdAff;DSA-U&iNxI63x5T#_GrLoEqS!3koRZL&v88Bmx31f zufL-BEp|bEdH8>@=Yi?ntlPqOD6;OrzqA3u=K7ddQ&Id)ximT9kW1BQBvVb zV5jWxFDi6e54K#ui_t!WaKerPoUu>4zo~L295P7dBPwPwgdZn=0utl)~PbZXm zO=+=)M1w&7$LW)h1qXD78o8@*tjg_1PouB#kiKb88ihb(5MR6Jjr6&D)d*MJlrF$K z_d{c<@dYREjY6i;(d5L3FLVk%lps@xup=Wo>}qLeQv$5MyyfmjrGnd+*^~@2kWEt$@+ql?^bwwgm&v< ztE<)B3QB8q@X|pbZ-wNmPzbc10gf%&b@0e>B=E;S3Hr#d973sR}g2Xv47rQwP0sbij zPxoH;K{tcY3gMI!!i!ufr2eaweAL&rNvq$hkk{NUn5Y5kQ{g%cp7*f zNDpL@`X&5*7$a>13Jnm4gL{Jqu&Fv4JjO9Fh(=I5u5pqJDe2_jwMi7O;EQ1tp3}Zz zNkjad_M3!;&GBs`5g zkGzZsZzJiEkC6=JfHB3&=-TM|=*H;b=+P+jxXwm#$Kp>4aXI=t`Z6k{N0~bQ=cv*p z@rHu9Jw{sgJ7dBgOFF_afIl=PJQf)fqGJFw5Mt~aXo@dm>9LP7d}EHwRpfvF0l3Ru zN*75@eEb5@tMLf5yan-YJkAS{hW9IUyg#7+O(hp6@bV;8?ac|nhd70AZJ{YSHW8n= zr$|c5L>Vc#Cf$>wur|3qiMtMeayXehorGrbPlSDNvCtxxbcji3gEB&yLYfIWV>enH z886sHO2Ujn9XL6~m2;c{coQ??`9`Ki%d6{{gd7DYkh}jwY zEX%!wpH=*A%x?1pmip~st3ju|!S%SD=Xv&ZR(PMy&I+WVG$-ZXoD)1eeliC&lpv3D z4{nqNMq+c1b5BSHi#8{G%w-U@+Z;ArbK8VvFz3R$Z3F!Iw#|n`4CImR*akK|gfmi9 zh=Oxx0am!LHX&_$r?M18lGZah{r3F9{PDa1x%=gOcwV@h7vi{-oCm{Bvi0=*`#hJI z3(f`Cg0MskJB6(U528B@!Xdc#&_a0OdO^5bh%Y=XJhLoC5IUFyOMRnYZR_ajVH`R! z=)d>-!q5NCAO2mi=fC)q9mbU3f+7DX$^eDXo8!b8AMXB!2`3(WS7O15_5K0NeFly@ z{sVUVAje%3PfZ;4a|v;*^O`zAOuu5uY3_1EUPPpj6o#eEKjhnX|~t<*-IwE8i&J1dGi1pzZWov*x)16vFU^{!C}*t zDPp32k*fkcs!am%!J@)jIhWt%7_V;d0>t|#+l&d z23CBtVH=UJEO4lS(3fHj#Q#1uyzz_#oh38C>y4X@TaCo^=D1yn*?nhRF7Tni~f|%)Ekk zB@eUYUpCLZE_E$~0Y%vAl3bSNIoQ)K<}&LXjwK73*qlD`Th~`6R(99Od@LSzlWV+C z_jxxtMPgMX@FO`sN+X)%U{@Gd${AQ6;^1HXJ)D8P?185$3gB3YSzZ5@S3T@K>gBwu zC^M?DUg2KiS+T`|*k`Zc?1Nr4Bg76r#-oP%V77hPCxA_b|0K?*KK7-+q)IHRL*_9h z9#wYZv&Ykq8H*ZWCwKiZp7_}R)Sv1nUpnvol8wBBv6@Rbt_}#B>;!FMChD9=4Glom zm{`=CfrP}MW(T-}y<6flu}3iI8|0j+e~>uSlR+UkC|nK-fT<^MAUA_~KOp~Kai?GS z(habj+rxS191?qaI!yd&X!snLIfn}PYMDiSKq3oiIl|5g7*yZLE@9^$z+wG}a6+sn zcX{!ZMSU0{7WH-HZG<^ob4si!V@yM%5?d+?ccbyq#3=4v{0T3xA(Xh%98cv#vMm09|LvA#K+%h}LnbFN@GA<=% zlo^2j6bovfAqJG89r|W~mkj>%WCq-)cs>K}^L8dNlbrd=eSQ%0>6#UoP1D+}XBO?; zofY=!_uKGKzNn4)f%utGBUU1Fln9k#Q ziQl}MkA1^tx)zot78CrXZ-I2M8D~j+Wf271DowdoZ!nt7U@e;&YuPt2G%_|ZH8VH= zvtRuizxM0D@i+g2-~6q=_1k~@cmAW_{k`A+1L8IR=#Rl|{=HxPXMbWZauhj>7NPd; zhG)Iyq7?{-*NWDQHi|Zjwu-hPDE1clAS~X6rQ<#vs2qYnJt{gbIw?9W3KX3c1&cyO z=S3IruOEhGS_JlK(V`oOlA6kz9@gAho2gQdHKYUVrS{#6UI#?Wn zjl%^%#=^x{#SvfyMT>8WNntHk90&a0JtWu<#gC9;ry$3EDSj<}D^3@`7k?CIinGO^ z#dg6VIE6*QCAftpiMd`A)&(x(-WEK9mkGLeg*{;(3T}t+!FVJb!<67u2nc6zNfQ#z zg$uCYVc|-MKo%Z_cYs^rPKXI{CKpc%4@~!sq~kBbD^q`ahnzeka1}TQl;9Q>Tnlbl zv7%U2tSQzN8;ZOxoKLZ%*p*oOLxo>)q&QZbC{7gt#Th(EhQQ%pD1btyxKczE*NUj( z29|<%iWvC*1YmEHiU;^GdQzkm&x#kttKv5f#Qn*V)95gq2syi1Jz)Ro*CXm3PXRGOkQ0@0CgAgYr@Nq)aKF zl`qOy=p>|}mGGg=D6`5>?6NpYou!MVu2MIQP~cgxbd~M6Y?N-6Zk2AAda(E6E8QvG zh1$Y?=|SmXsUJHr$E7Ewr=@|?v(jK`NZOGJmtK`dO0P?!r8lLwrLYApjh7~{J(Dbb zfL6m(X{z+O^riH*^sO{q`VRGmOlh|Cv(&C~sGO=rY}&Y?>9DL?fwse%YF)LV;u;Sg zl~?6c?WlHDd)Ul5z;=$G=|7yPPE`aS6;y?w1wlJIqy`aDkE&sGVxkk8rD()XVA>Z2YXL*VP;9P4$*~TkV0H zB%gXmy{qP%K%~KVq&`-kz^0q_f`aOh`W%iDFV$i7l{%unR!8CD@m77Oj;Z77g!*2c zR6nR`dnl!T#um}5nv^Qup;p0nitHMP#;KvrBDZEqvkc@9Qm|OpY-lz$TbgZ+N8{Dd zw$ZL;PqPnoNdk-|gQyeDsfHZm1vMefIa9j`LxD1)xz85Fs7QrLyI+m9o{cwX*fHjk3+Mt+MShPnoyO zSGH5OTeerWUq;Fs{<0&sD|K4N6*xj==VcdVd~+(owx@2eL3Ib+%y?O%?7l2nMjDz= zWvQ~~vKOd!yp^S~ZS_%>DI@(3d%2_BS-x2ADtDJJmD3K^YWZ6EI@`qBV!9sQav$_P zcFXs$rFBrwt(>`XXQ2EH>K~!<^YV-G%W~53jFexON6T-@Z_Dq>V^9o9l;1-+QpIw`3N%R8D%LADuw%AWv0dS* z@K*RLb}Du&_A2%(4k`|TCUR79T*3Fx&MJZxp^Ed0i;Bw%+C__0kSB_pirb32idaP) z8*29z$qEAgeX2-RJXgF_yjHwb(B|4lMW!NK@mXQlIh5$gU0j#Y-RqLN2i>FYNtc2D~Gz z{jz>Vzp7u;uj@DToBA#Nw%()n>V5hh{jPpbzpp>gAL{-3BmJ@dM1QIe=+E>)eMo<< zzt9sf>6JdBzt%_fH~L%soj#_I>l6BWeNz9Rf7CzeQ~GE9i~d#rrcdkN^&k3-KCA!K z+bbQFv{~q?bXP7_E?2Hpu2!y9u2*hUZdPtpZdZCLy_LSooyy(Hy~_Q{gUZ87f8|l- zaV6KPIjam-hAPi1FDfsg=X+Hdsl2X?R^C+JR^C;{D!HajvhtzwvGS=hRry@`QuzuU z;B+M^0cR?+P`$Am90sRh(cqF)a8?Yf&7G3*-l45T7_Xz&~O zrsSz1U^p`b4I#t1;lglf2upjDQNxYl)^KNt8RCY7;ogumJQyAgPll8MFffK!!<&J& zDnASvL)P$Vuva;%oK=fet}1ucQWc!IV%u`9YQ1WsYO`vqYP-r)<*o8n?Nsdo%u6s$f;9itlBHt7tRxx++?AQ*~Q)R~4&@S0$?MtCCRkd8~S> zN>x2qy;QvdGc^s=)Q_r6RTi+RcB8}S1YC^ENKQwWjRYvQW?VOJ7|FTlwvoJx`iwiq zUE`i{-*{j=H2RH4#$)4&@zfYFo*9EiV3QaxjF(12L5&!%jZq_^mvR8cgz?^(G(H#~ zjZemu@!9xdd^NrqX=C)mm@#IJTvNyiT_IPsyLzdbc1c&O*Q(d60hd_4RlQy9srFX; zs&}eMduSi}Lx2@|e6P zpJ~UmYuYpIn+{BeCclaAyq=m!(>rJiVGs7gbZH8+UD#_=lwtGTnPR56DPg)dB~1^e zM-y$xKEsV1?a8L08UA6)KtGALW*s%on#CGdjk{*4X1QjiX0>LmW*r-~n>AZC+clmV z;J?+-X6;_hehq0Y`JuOTTyuhL+d$1(O|T|Zb6#^%b6FFvxvGiOT-QWvZfb68xS?dC z=DsFb^HB3x^Hh_nd9Hb>d98V?N!PsBeAHxWvNfMIcC*9mG%uQ6X196Cylh@EubS7) z>*fvfrg_V}ZT6VGW}kV-yldVw@0$^ccDHt~cE1*mWo!MlN43Y$l{&2r)SlG_YeThpzhIHt>soRPMgRn{+IVfE z_8uPjA8H@rvoBQ(?15Tx-Jh;~ul=aa)Mjf*jmlwhS{5xXi`%kfS+=ZLRxN9mb$IsN zv}{?nEgp;4;dxwdb)mZRx{JEYx-fLK zB6Zifo#~jQsg-8J;oAq1u+x4D$Z$0;PzgNFse^7r|@2@|qKdwKiKdlecpVbHJL-ptN7jWSi zuD_~})L++=l>#{`h}FmI6ZQA?$@+)-$NH!GRQ+>3?Q_4?r|aMAKk75}WX51`a6s{E zvBA~ghWgiX!%D+y!&<|7!$t!sfst1QZv)vl>^AH*>^B@V95(nHjv9^|P8v=d0u5&k z!G=)7dBa5mSwLJhL>jKKMNUWncMY+IICRDC*=G48w#!ou&kZjPuh=$EH@r7|G-MjG z4WAA6MhD!gEjGFu-Hl6)%aS75dgBJ$NhfVGFZ9WF8h0D_8uuFypjqZ`JZd~{JZU_| zKKogLepwiM?h)viMWJPO+j!R)Ym7H08t)sEjSr2FjZaWGdxpx{YvWsEy79g7qcPK% zZTxJsH<9)k8D6-XmYSBER+?6u)|%Fv2!3{}X}ie-g*39nAf>eZrh}%#CV$gW({a;D z(`geKX9Sx+g6*`n%A2*nm3zi_utd(ZT2H+p^cP z-*V7$*y3+FYB_E>X*q2Pw4AjB;acvz<)Y=XCERk=5@{iKRyQrTEq5)kmUv5|<-R4^ z^3d|w^3;-Qd2V@Wd2M-v`*2v^w`5wfEuSrRrb4%9by?lkCF`~0~Eh*{$>aLKFNk)_Lv z_0{@jOjP8QOED40 zE7RC}XDE}|*3VXZo1@Lyw%F!sbGI$EEw`<-t+uVTt+#DJ0J7D#-R5cYw)r3j*=^fv z+iyE)J8bi}9YG*+(stSwXgg~QwuRcx+b-HJ+rn*EZIQO?wrJZ;+ilxjTdXbKmT0?g zOSV0F{=tUg0h@3rR3@2+_=uB%BF!oOJ{{LXw0g%nXRGJED-)+;-e`#5&>~iH`e@WCywM zdFmi=%om7l-a68f{$aL*?2H_pWN75-bayU69dQNXoVCvN&W+B^&aKYvPEV(|)7QDv zx!bwdNls7>JN=zUoyVOgknsedr5NlaHN}h0OQU{2e>3r>c>*VsE4D=U2p~2{2I*hI^cNa;5R=QTZ*1FcaHo7*uWPy;cYo}|s zYp-j+>!9nf%MXycyAtK8xP%& z-A~=A?&t28?$_?O?sWHi_eVDgpFX?oJ&qn{&ti|O$KA8kv)r@Nv)Z%Pv);4Ovk7&| z?H&)TwR}B0J-e{k+V45&IqdQG9Q7Rcob;Ub1bWV3#1-l}@40}MWf*#vk)G?GXwOa0 zZ4a4q#d{Jx_dUs;hn~ltr=C>LGqf*Xd)|7|J?}jqJ(-?t&u5Rl*U{_jUF>!Bx_g&; zmzh518iZUMy_-zX<$+qJFQ=G!(0kbHhrH_;60g(VK<`;^us76u-h0t|2`$a5-bn9t zZ?yNO_qO-0H`W{PP4wRPCVL-xAA6sAQ@zi_uh}*OmDXLv)A6|=yUch z_PP4V>ktReUh7-$+vwZu+v?ly^YoFMn4P}ezP-NvzJtEQK7XIA)*0wK>kIaU`p)}E zY!>dj>WlPU_eJ||`fmH~`eJ?YzC_=BU$XC^@3HR*aQ|4RRA|62cg|3?32|5pEYzo*~ZPe>WN{d@iU{RjPr{r>(VxJEhY zKZQ!@S%0uU)PD}S+hu>a|EfRIf88JLzv;j2C;3~vKhb~RpM=w5E`)pTf9Zeif9sb; zaoPUQe*1u9z&Wru;2LlbEDbCVtPHFUtPQLWYz%A;Yz=G=cm})!zJZ;A-GRM<{egpl z!vX)m(ZKP*$-pU$?9K*)P$xYfxEQz`2oGEhkii{E?QRF|24VwoNbl|kk^>J+hL?hx zDYw8&54;b23}m2k`Z-`9bPPHN7YAK~?!l$O<-wJ~)xovF^}&t7&B3j~?Lp6=7jnKG zCh6OU7V6=kEbTiT3=EzP1_wif=Yto6mxJNKtHH>iEcv?|j16)Gg5==C;N#%aU~2Gr z@MZ9I@NFJ9teh%7)97E2b#Ua;_duVBBd1z&5b!cs9eQ0B7b7*U5d&o27 z9r6wB4DAl>4ebvd3>^;nhmMAhhfao0hXO-qL&2fY(D~5C(B)8g=xQi3bUhRux*571 zx*LiO#fK6@_e05{hoQ%zr=ir)^U%xC>(JX!dgy)VV<g4wGc@ zV)$}6JbX0_K@Xhe;@ZE51I6j;hz8_8wKMX$(KMkjbpNC(DUx(j@)5Gt>AH$j9 z?C|HXeZ(>199e|tefP-H$nwa_$m+=2$oj~}$R_k-w?{l9-Vxu(4iiG|j~t8~j`&B8 zMvg~LMovcpBWEKdj65H?7`Yq?k6evJMy^MqBR3n;rQav5z`Noug!F=^kAgU4~NaswBH4qs#44&!~6QH@Y*rJGwWzKY9RV zTR+rokD+jTIvN-~8x4+zM$aMOyc`XWl0&oW(dg*S=~M^PqQ_$=W2a+*F%pc1AR4_GyBrITU5$}=l=OCQ$L_{rWAU-X*!@^? z>|yM2>}f1D_B{47_B!@9mL7YDCU0geJN79FPZ!5sdL@#XQA@zwFQ@%8bI@y+qA z@$GTXxOdz)zB9fHS?d1y!T900fBXm%)sykl@xb`mcyK&4P71%59qiCcKcx?o8}X>`m-X984Te_$Q7gjwengPA38rXA{AR(8T$~#l$6G%&sOP z6W0^biJOVriMxpy^oA1<*Cr<(CLUqknwof?c$s*ec$-L1yia^gWG1o`pA+^;$E0&| zagvmYmnN4X$z7c!mEw)b&B?9F?McrhiFJ1-cPIBI_a_0mJL#V!2X&-m9Dsy3ILSr4 zmy_YitI5dZ^<;GNX7YCOZZb9*pG-{NPbMcHCLbrCCdn_}%jE0i+hlr@9M@$gvy-2b z_9@4db82zQHRYaKnp&P(nOdD%n_8dRnA)7$n%bW7OnIk#Q#(_;Q+reUQwLLrQ~s%= zsbl83I52ev@5Q01^C^-Iho`QlB2(8>(W#rM+o`*$*i<|xC4QWGno3PQPrXdNPQ6W~ zr{1SNrZQ96sn02r7(1sIr(M(T=_M#JuQ1=mWZ%0vy*0f(?V0vYlLUDe3eEe|2h)d4 zmV7*YGJQH7m_C~hPKPA@=J52@bY%K^Iy!wbeLHgKd0?8ju|He(5@LbgwSL&ygIW6ZRiaMq_<|aXFN0B8Q;v#%K*)gwy_+qnYEGlbKV-I(2+-GWNBXVyFG zo86h+o!y(=pFNm8ob}Hh%^uI5%%08$X3u7Wv!U7Z*^AlB+3@VuY-IL&HadGVdpmnK z8=H;KCLr}r&OXdO&T`533$(7^X48;>lc95V_7ie&#~j%^yXM?;OLNO}D|4%JYjf*! z8*?NU-=6b8H13<*ncJP)n;zDjp*w6OMR(cUHWH+heKi-RZ!#@z zkIl=3>btf*+rI66zdOG-zYo1|GUh&lcKFHsDFpUs^TGMh{Q3OFJZXww%}3_1=cDsC z^SASNkmASZ6Z7};$@z!*$9Ym6e}?k->-?LfK%SW=oDchgW5Kzw2t9K5!V={CD+{X& zYYXcO8w;BYTMOIJDEBV-7Iq-?-&@#UI9NDb@Gl%K950+K$R^?;W+Z+Ib@Qu*2owXN z3pWe53wH}KXr3n)?iZ2^4-1dbK~F(j;AP=;;cX$k@V@Y|kXgtsd@k63=J=WOXTS12 zd>?`DBk+9$zK_875%@j=-$&s42z(!b?<4Si1ip{J_YwF$0^djA`v`m=f$t;meFVOb z!1odOJ_6rI;QI)CAA#>9@O=cnkHGg4_&x&PN8sPd2ox2D;=+@ByqKp;Kl${3SFz$B zgfEl}ujViCRDO;)Mc9$jrCclvlIaQ$EEf{+k21*_i;4=zGM`#ZJ|uA9^oRta^dnUu z{cvh@jRFctIYG8qA}r8vG5c3o72@nlF0H8eSBicG<-Yxw%RmvCXkjAAa7qGQMibC* z)=>OVjI~SdH}#&SvF1{51gT5ZVOFAu5n$bw`iu+IJw9-9el{AY0q0VU?1bv4%u*1F z1*zeAkyE~n6FOG#wPhE+CdN09}R4@(2!gccxxzy4GOgq z?W3iPTax8st)_Dp_-dvoibzAsx`hkh*7zf%B*^zY)xwr1Rg6I6PYIkptDT09{b$W# zQC2TijN*hd!?WPX$nho-A)*LMyqURXVX)-E%MCEEmh!S5QY}=9NJ&K5DGrPzKcPnQ z6qbn}c$%C+s-2(mjuCC%Ce~m?af*O}MnD62W+F{di8M>3w#nW2!7$4g&?lloWu+%M z^@6%W^;1O>ElxRimLC&PqPv&=@w*VV zL694v5(a=l-E*~29FM4{!GTSEn@Uy9_X70FZu9}!+5wUSrLjyRJC zimu2VVy#C3{>%DFU1jY=VlK*yNY7nbycDF5DXP4nUGh8dCtFQ&U8dPVciBHas%&tjilu>&3rfGN(bR5E9t03!-60AEJz}J!ODr#I zRjwc}j#J)L>LyVt2=XbLS=KjPloP*3^Q9zmNZ<`DB+JV3WY#!7Ml69Akwg;BWTnv? z>JSZHo;)8|KBl}sM1+wbk~BwBXNP*>bb{7BiP}jI1=blfit@3>u_`$s-VS~@QCUWe@=-tV$Lh>~+EGPv^+Z7G zDo>&lPL&ao^YKPY_b(BUDNws)0@O09ot4bzVVUXclG>dwNu=p1Af^0hrD!~Lj%B5; zAjU=lnW;ZmPDGX0PiZVh%NrNyj}|ErAmVgDc}9gtsp}F6nsQ{oKdOtUQdYi5c$F*_ zNqjij8P!ciPy^jav^MBJtBxJm#L$8RH6-&OQIN)x8iZ?9DFQW`e(=j9JW=Y4oQo0* z0;>hI3zFy_rAEn(MFXgzJn&Z2V6rAtG0IC_r|#r~)I{nY4Jm)Fum>TlESH%muyUZ! z?=G4g)??NHsTGW{R2*^MY!GGXG>8=Fj1gwVal)Qje4T(K%Z%S&VK*_FArB)iP(P?v zI#Qt4nP`dWRiVGSCN~jwT6jq}= ze$tId*Qi>eNo4tvMuiP5wU@OS?LzGmRnS751?r77B&?CVpL}E~fzcsS)K;nq6)-Bu z!WJWyM<1vMG#x~Zk)#L$#ZeIov9heKNTYK$g)9?0VCbaPLc_{#PgF?7*+BE zxC|1kebjxT$4Ig!un|WiQ6Xi*uuvWZGy&A814NZIg%XJtWn~$0C7+RIlTABygHDJP zPhuUV2JpZrvoxYCWuZ&Cv88mD7cKjCx@mCbfX47B3eY{nmMN!#N@x`G)NvKV!3t34 zXi>2x%5Ee!QiXK+ys^g72%r|;R=H;OO9iN#wA|<@U(8oZDZGn}6fG~7iJzgDYw~HdQCl$vU9?y1^KBVc#^VTB29e)UCK<;gUb|HSt^fCvjmE%~PjZM+bz zGoG2}WW$AWERC07>q(-=R~-n^T4aF{Wd|AykVBjirKa)KAUB4MC!2Aa1!^M-(0|HL zZwFd=^h<#Vu?ayfbcH&_0@cd1up}C9QfGKEISV6A*W`q6e)FS7ePe-0A)p>Q zGJ-!S%`Q@Xl$V->F0rau4_I4ShbR%v$1RHfN?j{x0WBm}XD*GM;ec_HpJb?p`i=pY zb0LK)m%-buq7HQ}PN>eu} z15G_ehEU*AJ3%6Ie|kNvoJu&Z?rC**w!P#pFtf zJSsqMY4D|Hp&!V^CXuZKqDE(YNQe$6PIb_|$pY^lqfQHmwL|&=Wf~(8rJf_u3Sl{@ zWUg8&3wkKTszL_dO3J}1WM!pgLu3$84O>!F5~bKF4It`cJwh*NcIYyzow|#LaLTBM zrLr?A4?QZ8h(a_83M!f>R+j7ILpBoe}1JWkbt{1yNkVkt(LX%A-Zg zmU>HLf&T>+v09Lu4;5vht99MPY-va+Rc;!!leLX5 zAeHrt+A5v%RCWnbc1N&F{2;Z3J!~+Yj5K9qEl2a@w$kFJe#@_qDVkFTjq8bo*+o?6|IgZ?n2%S3N%3&W5;4D2D&9BLIoWwXqiwK{t6+N2_&dY?)*o~(j3t;E@2UB7$T)Y zi6~7!rh{&oVzrt&RrCk!$mT!^l#r_8zlmN{35p7_ljw;5UWv90L$3IL*?a47TdV4i zclEnEcAlm|LZ!P^T17&_A_YZ3MMba>0VNa_!~g|bF;KA;MNCkz6&nLvN(5BU`}vOX zUHj|<=+Eaq-sk?a=RRkRHQ$&q=BPR5oMR0dE9iZrTIp9NA62PsRXe=4N2dkW86gc? z6UyAVR++9e>h1a=jmqPwxKU@6>!li1Hfyz7b5XgjKa&XbN=_rse^JmJvGcs%QQ|5c zCc${Lr`n5$MCqmSdiCCx;JRLF9bD&fm#1pIV1npst=`#2BT+9ZopPA$4>+MRC7IfPvYC$8FYLlc9pd`93 zyfrAbQL5=mO+*Oc*7{s=3eEse;~q82jitPr+)5)#)keS82Tv3=Tj_FP+xCWoHHxCP zeZAj+itDXfrPO>_qg*QJZD~lKhDB>oscu&EDy^=#?Z~29s@2tk_UziVB@K{W=3lGc zs@K)d8vW`|z(}=b6WVRnYk{bG*KLH5TD;yEREvtLoFkRQHe^umRcfOGel0cHd(rVS z7#|K>=x|Y~ zbgH|9&3X+%Q>(QG^~LQ*qde&K_bUyMIyAH3OI0{pRO?pvA52w-wMQdAC|{xhQC-l3 zW>*DE9+yhJaey@t?XHLh(Wuq?rB+dHJhs~CRUT1(Laj%8#ek%v7K5JJp|yUm+B~3E+jzHbM?#Px zXcR@cGW(FCx~$&qRu2*O%B5O)N^b?*(_#oX5CcO)PKR}#SS@ebs4`ZgQoY?SRr(DH z&g!Cd_HFUIq@6}%rm~p6w<`4-q!4UXZ`NzodZQ7T02hVmrO7aXie|HpNN&OuG!_!* z!bG(a6hPloqz*c58lXmyAo2XdV~|IqoxkEvdm*=euhDAN_{Y1o82o&=T%P15mq0g2 zG_5FT5k%YrIZBnbsF+5m*>GU1UeXWP(Mq~it|MF2B-+H6s(vN5Ty7OjJ>mpC*0XVK zl}G>7MSkj)!r%px#PeL@`k>vMjXL3=cE8nX(Hxkd*WjZM)di6VElRZp?B3|KQCbpG z`Y2b5<_rb&^$6re3G`p$0UWAASPv>`EFO%errPaA{Z5A`y1LWqb{n-xzR;(lsPy~1 z1PMIa?i6ceUDRw>qr? zWQy3DjZUp&0-%v}zZ(@q2f;J9$Ei_IdaX_Ax3EPxje4z7FVOcr2t-9^npxbg=Lj^) zoqDfXE{Y+f;zakMb4CW46PM62kgrG)-j5`}tvb>}Jd+ng=&6CovAT?->SVK0?v0C` zgJY(O9`Jlmy=+$cRExS(5+Ag{nWTNP2i1x0TH=1yMy8l&H$+i1qs6Txa?u})w^mhX(huKty-T3wYvz-nv9}x zk`w}6Jlq_V&=*u%YxGHafR4;m>oP7Rcu1H5!3FxLx5`ZhHSwiSY{GbmfkePJD;n9N zjO>l8bgCl}Rj)UxlGLMW^|an?G};4Q;J%a4a%Th6|Qoq+W0Fbf<@Xh&>bh&=?d^E%Fv>=ro5i4CB#uqdw>t^&vW< zfu4p!Bt;ocaR>5^!DA>%P1?~Cp-4b5*cFTr@iiqi+Eu8rQjrNG^`sQlx!tgmG!#i) z1Ph{FbKm%Kyg?b@P>I$=YB%c)jBK$fZt^yB2H~~nbw-*&=vvl=UPt)#8s%n-Hpif4 z8^$Fen48UsP^`35snuYL#%&~TZza1IwF2`e-_1{yZ7;3(@|-cRJIJcupe5A@zUqx& zsyfO=c&PUgopt892z7B6&6Gq9PO~yjVzM~k0jP%0qFY9Q7WH0Hhjt4|ma2%HAs8YV zR+UA-^b8uP zBiMVgj4`nWQER?RI6*o0*U{NXBVbY8{Z=Yjsy4s()9;16^-| z2&|%-rhTvoY>3E{oz%pTWX$K010A~`NPmMFA)Dq&yMY#AO+|Q zNey!dUwSrhMU{w%TB9TChC(}&MKLIMFsfR8O#D{A(qRBJj*TYNS6&3kb}-=37{V*J zq*-FpJm7*JG=7pW+E6=^yguw|P8z9$a;ufoLQ%hCKt^S(;-b;*V0^1GN!3N+mw=u_ zLSWcamc&whVwq-L^@&;=mYcD}lll@N1#+TTl^iyntU_8D>=G6TQ>c2-G=$0XOl(Ax zy&l(F$lH=Qor)lL(G&dDFQa9JxH9I7B>CLX2+@%WiA>6+y@h67D;)$(ZO5sC?}YAD zyC{2U(q?^9^CKl*Wqv@nl^UZ_)Fzf{w_Y|? zV^}1adRWr{T95K?a4qZ%o}mgPOjq>V)^}Mnjk@Gd$X$x5^_#NLs3f&;b(+VbFks+K zBq2s6MW4biT10E|D%YEN%hPcgj#xl)`{8!chiV>nI_N@ZRyInz*=_PP7C1(yo=|F` z5oRGEY8KgG#h~M1Wf}YQwpN|3H!3(Mx{V(5!3MZ?yJ$eOgXu-@sEP?kz1;0A!rEDL zc?a{L#k(oC#tr@-z@i+ak0hh1ln2`|w4{&=XR1P+mJlIOWHp2!E=JHx?Pcc5-I}IeO6s`qh}A*;P%N*>wA`ADvVK!7^V&`sy@ED#KDveyKup zt7@0j4v`6ld8jG>Ni%#hs!jmpriE5`!@lhBZ7=gv2Q%toQGpbEpiG&gpUo&`U z09pe#hA$_`lIu(t;(k*+ImRv5i`GPWvNcgjQ`TvTok zn@H*g5-uE?n#p6I(_-PE#yqSiMMqmyXaP^E8%$?2VcIZxlyf-h6e22eQK}Lpo=WP| zq!Ud{x0#8c()!(Qt1UlJq;YXB^*@4{VghV68*Qx1UZpcu{o{8!sy-`^7Ci6=%!&B| zazbIo82)cQ=rVJ&IgX1~sbno>F#LEw(am$+Em*1Ikuq*&3nIcI`EDX(bIwOggIQEg4QsPb12xK-we6bfrZY86ay7@umlXm^LhT5U=XH`RQt z&H?L~bu6E<@Tg9yL5vMEUzsP!1o^;uD5be*lJ}5H>D|VPo=3QJ2^=Z$TG%g|*dX}} z+MSY4l$!-$O*gtZ}N|@C3250dj`fk()ce?T>&i; zG&(4Igal9V$(z_H&|df_=@TMYkB^hBp{O+)s5Lw)BgMRj;bqoST{&-rL-ibUrg(}` zmTQI-?*LKNQoJgF$}nWR&CvQyG(b+|!CSL2YQaewm%yezL~E0f93~Zd9$uG~1bbs9 zu~O4Mi&0LREESth5~<1QK{S-9Q#eIf>!Z>j z9Rvjw!vqI3P0n#6mb(z4m*yuNL(GL2Eeb;?sH@)}b$c?gyTNHQGg`PG3}$Cx|K^+u z$e{o&tQfX};Ch2@r`wsVF|%ZFd|!aEDa(;bTGG;}LO~kldcWDPO)r`8_BqB)4&*jt zU+aY4z_STm;l0AC0p+v)i|lKLD;Sc~nhFyPQK)nWW6VsCRRkO>5IcVjxm9DGh4({j zA>0vJ>Lrs|eey8a)tVEp!zOsw5azUyOE{T8J`c;{XHEG7!_L6){?TgE!_6Qpg~X)8YXz%E~;bX|{SS@D)u~rDqa@{7 zdP0)OE7rz|!15WK7Rsj6?sizu(g?uD5>7>D(C^H2G{LKN+x^~fu?CC?i(hfi0e2dQ*N z{eIETk=N7k66?VXGd#ykss(#W-Hw8JC=t4aBqpMzX)BDnLL$CB`o$QlA-v3-ek!(W zNCe9jCk%A^upg=ehXnc&qKIZgzJu5V0-5wWgFy>Bhs7ZI92*VX?w|o11NA_^K+q65 zRB5x^Bx{78B2DE8=wR)VBs0n3RYADR@5!qoF|1)aujLr}5J`4DUwDQ4yoXb#((L!! zY-S;caS8#AAQCO!#JFh8sR8jJ13}6|ef2H!I9yA)0>z|}BJK8q>e@1swAo9^VwZ7% z+@lE4jt@pyRDq;My$3g=(#pwg6s`h9GAw}7&PeX6q&EbK;DfjzkC2cJoH0TFJlPmb z!p=xO=__WlQKp8Yn$(M}4pt(8Q2K$|XBEpyq%OjsT$&J*GA+Z!+@5#PRD+SKLbZ)X z6j;+TtYmo|F6vBAOmmaBX&!EBIbGCT`Qs)>;WedD?ql*XN3Tsz&`uVR8tLr|&6ZXm zv?g&V@hDA(QGlDZh2ah?G-pocswWK!0x7lV~vyz%ftlno^gm|1MaTl$uzE)vd z1mY6$#DuBU9&as58HBiyJx^70&QR1!@F)(#lw>TQD9KWwSO9`k?m6{0cYZ}%p?s~6 zfEuklGY@Dpw~rA*(&36`h&A8iACCu%jHee(Is2oIm43rU!K9Ia(kO`bVl?E0eXbRd94a+4@Vi%1(N|>Nj6a&#k)oO7U z&Or*7q$FfRF@PZy)sJW_vIo0B%2l#NWpSAd%9&LRk>uEi%W@dVXOKqqHbPiJiPtE{ z3Cs>Fy}<<2*}e*A6JX3FP^oAEcIqfmuP3Y8O090I?TPER*LPH&3E_ zylj#W$}nE~?g!TzC~gzWO{%#hhZ zv|zmBYV5_4xe?+{hHELZUOHX|hXxgpl)~m4 zh!lmSo1rkG?Hc>?n3ZMulY~Pyk)cu0r`>@hYOU1kLgu4RiS2kybD09k3rjiJlj&Dx zC7Si9T7AUs8T=Kbu=kl-2I;V-(d>6TgsK3MSZJfQp2V8MWTik{9TFI zMB73V#zv}>t|U#QXi*FWk|z|rm2+#*K}>0DEGWo|>pkqGI`a+DY@^m6_Lz!kNM+GU zY2$RMKxeXlc&I3rW*vOC#f3PO`Y{F8l#$d$1TbPe$~f`~vsUY|=ZE%u;6D{a0~fLbWI zOM#*#=1}S@-&*WhmUDpKff03CZX8`;Qi>Ibwn2qcC51&|j-j0lb$mrC8H@EJ5Q z*rM@T)`!_>rXUj^YSuU2mWx{nv5j`?MJwe}!&K?95!@PA;zz=n;{)M*xXLuj=rf}BY$6N_kxsGJf&NH`*?8y{|xL!}pMc40e! z3vC(@-Lhy&s+2eg(Z^hFL#AqHlN}N{17O;W`O{;q4t3b;vR4)v)Mi1H_w}UMO7F-$ z3I#wX>{9tZ5^GRs5flq-C#IxyY$?P6w2%(5aRF*14^StRz)GlUBr(UH1VDLpY*&bZ zJ-#{cJReE6f(wx!h9O~C&|Q?mMrov+wpjLX7h?4=h+27vHXB_wGzT7MksMv*tSk;& zVHzxqq9`5~DG=ohk;J!?+{e_}86tw%b`V#`9Vr)>9)T)a#=F{MrgC)xMFs0{4JQGd z^r{#xe2-w4FJx+?{$O#Aa+Dn_Myf!{1J@f)f9+PQ4`T&Os*cB&YY7+_!zx>5znPB?GmJu?3fOFd1aTq*l;pShrZQQJc!h6wc~cSYp8hl_hVmniZtPBY}90t86(2 zNU6G1{v7!lDK+{KtAGrD_H#T~Y>n0fslT)eKRd}TQ;m7iF3ag4QH;X%^EIX~l#bt` zGBX2-hzhwDEi#7QH-r?#RSvzw(;_Poyft874$9B#-#O@p-`bCsmodwb9njZ7H z2=`^|Sk7I|BJ-eiP*5%}7KcegV!2Gwh`1FlbM#LZf-#SeSsuXpa`^(;x=(M0aXg7! zbu_}19eDLmYBpEPDM|iE=7?yM`jCr>D;BRXou`W0H0Aat#0c1BvC;(}Npw?s_N+gR zI!}9I9-igNKun2-VmmCS2pQZ4x;_&4t~D0*`^)?a=681)hqh>RZTaLPoT9a23C7g0 zm~7UT)|Sv^DvZ*YPta*CEs+}R`_Wk#fR2aO7EEPauDL+I>9Q=yyH97KB5q*|d z35m{Jwb59lovx!OSw->=4NXPBf;&zl`o0tu>a8MyrV+obcX=D7Zk8Z4RbT z2qzq|h?pE`h84sy=R$3S*p3;VDwG`>2Cuw37`|Er(>wa4McrF7g#n+M)y zuY`R_EsQQ>69ulk$aTEMc$FxIL6fCAej+?KhxA6S6t5egH7^dWz?*`H& zjPWw%z# zamI`0M&dAu9$ZwH42LUR4k|S%M{I>)PNvh`fp4l_^sk0!vOI1NUhzq|Yn7&u(c?}+ zW__|pXU7jwa;r6Hbt}DD9hShoKSdpALt4s9A*;vF-VerVB}RSh4n}rJNl<04k90;%>T~Nk07$J!(WKmGPbXL(Md_|45BQauz;z}iP0BpFT$NCvqu2yg#Xs)a?Pnux;7IeaL9hj1{6l{%Km0%VT;sYN323$+)rFL%IpQnk!9AX#=Ae zt=;Yqb+ky53ig%4Wx&uMY7tn|B(Tmo3oJa0d1OmM%!p4 zKB`&VV{0rEp-C2Lp+TELm`Eh;%@zE={9?bkc%g;iE@jQm<#7!Ng8a%!^OOTjBbk}W zjZ300{P)9Ho6~WcA<47|4H);vI%iyJY_MhtLHjT?%@Wp0am+LosSb$eMSaHR@A3Yb zEJPH?qIzs0g3TZ!W`yJNTO)ZY)WDh8dj(N5rr7t9TL)tc_S}zfc z2Uia(&s~;*&=b)**0CB`>+x6&lGR6rO+z~Sr{cp1SN-AZXvCoagl*zSEn?(pYZk~L zv|~kpGpy*FndyO8M)PD`8-Y;@WU|C3Z)xVO@t_(txjgLk7YTI|aU`umvQEXff#_Yk z4obLK#c9}da2#jo3Eo4VrfeB$^nbiZ2XqUMj9;mZPhBevkycxho&Yp3 zhKUX@qorX(-c_}c6k5S)Lc544D;khnAUSNR22mFY#}@0BeBnh6b0m3cW56ev*D_Wv zc0K?lJdTv`DHRs9(7GL#7hEyUU1pk{MVxjK>9B|vtpKHAB{4{NYP*@sGX5vx8 zEXWbtwrMZ(i>^u_goF~4;ZuZcIgyi87m zKB_{Uz^`j7w%KILp36!rU(~nYEnkWP<}A(lq7`U6@dCpIrdd8M=c2raEC1BN{8KQ1 ze2gNIKuB5=)EDzt`WG{EU8DgqjJ$!|rvf3$}+8OQnk^lR@tkgsd2KdLt+S z8e!T$QnN%Zufk?2X%Hwxbf6El zE44BP{``}+v>8o9w=jZen3RAJQDTKHcEGflx~N-7Y=J6%DU2;o%hXRTTqDmV=j4uW zbl_`*z3|K!fkWmDSVh`E5#?$rOeJappgno;FMEdvny2A(Mvl^5UeoS6)d!jwIeNtj zS8cwN)dohO2o~uXL$2^$)hUZ7kw%b^om$jK5VKPSF{aWR{oXViA=#o9a*cwNdQ6OP zx^n7SbWuzN7c=@DO%)|>w3gGQx}bbWqCj;+f{+I*$*2<)N{f$?CSKB;u`i&Q=;!o= z4n!G&D#ie_jDkD(`Jhx;oJu^Rsxb>8v!No^Fae6q5m;BX#%PkgVVFHKD#2kf!I4OH z2)2|1PS}#~2@2I7n@&Cz$i{R_;T@RNhmJl%u%*W2BBZq~Y~EyDygTd+JNTMmzb4L~ za6t1$EdGpIT7jQfHZe6j+v_bIwTFu6FknYJ!>JGtD0B{^;y&(UGUIS!IN)~eq?nqS zBEbrZA;B!DNwlN%*Gvszo^W){L~G?MMR&4(sVVM~#c-HNVcd4Qm#bh#=m_B>t4Q}5 zArf{NelgDdgdkO!50HeWaGoOaCBc)v5sHwOwz|WxN))SlpwoIW>T_h3GjO5jP&&yX zl#O1CJ%VnLEZiD9PBg>kNDzkyxS@jznh_(I`JhKCRV>M?%y47tsU~a+| zI>N>%aFDrwe>0dvBto@seSkBHqsiz|VYshykcGPY(Vwi?TP z#bQE3c%?hu_6L#-4??Xefy@$wv;*C!kO;b>{2fi=hy0VU`jeN&h8VoiQE z2`@&V$sQ*(il$#$p2?jJ%n+mfU7lC}H9W9@NEg zVu@D?j_0&!e2ot^i9`9V=@C{$8CymdlB|~nmTJgVquNa*!Nu~Y>emA zp%r;LhbBHT20S4u;UJ5GeOIQ7zQ#wa#;Lhs42-%0Sp`14lZ5Dd7v(i6%{)xR$QUi9N3bGQnApXyirRxh;$x?Mxhy_NSlBpc!A59*~wgF`x!(P73NTbW~W53NUbpu5*nF}qJ!Jn zLxoMI=k$g`oH6y(+(aAAi%D5#O#KK^m8wgj3Yk`Fqx}R8%0)G73%Mp0?1Tk;StQl% zv7yEC;b&@;BibC+D;2Rviz+pjiAJgc8DpXt^eTjh(%whb_55mrS+<-j+*yQs;_m#L zlWggU{M=CEgkWumq#cWMiM_WtA22oK`9nC!@WX@HMNTu2h%DB9z-@t(^p81I#|^r|;b;$7(+5L1>} z4wU?ts1eai9lW&2z@-!}OF>Fo1>-K7lUBT|HPPKsS7?X9 zT8r6Vv0r}xCl81i(%rv0#XjFhOIy&!`C&9=JdwJJ-?DVGq+|3Yr%m6f|g{G@Bsy4c~+P(r|&5;T2HD_|ss0 z#%)djp$Hk=*o?~FOxbPfq{xzUC@m?}Oj4K#ydJYNFkY|CvNlg;v^umR9Uyj{`sBpp zn2wtB$m)XPP*G}(*h&dqsZDdVM(2?w3Cfij5xh>Nuq>nlPuS|DE&)IPO}x)CwsKL< zNS|u8v?`}NBr*}bavE}ejCO0_6oyG{LrH3*MYI(r{jp3>mZno)ETBKp;q4M1o{iQ(Jn_8~6n< zLUA2n@M~)cTWM7`uYrJi2mjK5RcB>NoR7)I$;M)RFxn}x!8aIL-c0Ce&>hvAJt*FW zID0xYF+w%1jL#W90UR^A;6fW!yh;fROW&u!mGAO)DCU=H+YbU+cM}_!ca~j zH29=pyazhv_7T-ZJj{rOi3y!?Fd-%4XZG>%$&)B2MgwNhgb%m8{6e~d6{xvnM!UqS zl81*$)rj*P+O*S{WEwI+tRv@HE@a2ngpL$(M)<#rekl$^N&gqYFGJyK(y6|d>LX6e z;-`~Z6Ec&|<0c<8N7zn&VkRI>9x^-$UmKoy3KJVM2jPzKs6P_Vfv*y~#$bA(EfUzV zBQUH!o|9nW#o&oF2{2u-ASAh|gBb>BBBxMmie#x(tRPRvv4qNCSGKpYYp@Brwf+?I znuu4a_c#bd^O;B>q4~%A`i#gFR44{SUb9^SWTbIThZwKN{rYxhS z+vj8k0yhzi=4lM(ZFA|dTB8l}aaM(0!b}SxiN0prp&No<=%G@ulZ@|3NeO(_z!o@0 zBIG29<9$&!Tg>sx3I)h?(E~^&!zcPl2?7qgh;5c3IJEzbj*~Ew=n*}D2t2xzA`g`% z{{)8_NR)sy;%t7~W(VzJrK_E0&og_hS66T>=LQLqQBqF7eRIs22x!oq{ zHY->lYh0!7M#>E|ltna175IRO+k}uLDkH{yJQT#s$)N3a14}lj@4)2h{2n%`6n=Gl1%`*+Rfzkei1^*gb_w?MN*k!(l!kaouGB-YE)%2a3zthv}{D+@=o&QU%B zVM?r%aLI!dA(2Fx#!xk!(rk-|IDq(~^p@i{xn z)@H-GazhTHsWrrN7xRn4I_lIddYu(3wy+>AC=RB^#}hPw&X492$kFcxr940oM{J8a zGFIoo^e;K!KK0GZDt;pbfaMVdYr`0_CLZ8IsGIo}I)%q5?M( zXH0{Hijen0#|tGqu?MQPMGD#2(Yv4&@l83=J608XL~#r`!R&=Vlydr*ur|_6YP9}dW&xXm$BUGE80!lp=a}|VSaW*wCo**~>!WCT<)~O-8iEs8T&=&zYKtNX2EAQr`Fe2S5w)xVe!B zG>P&UYcUJNWGdHr)_H*y^~@BCm5cX{tEgZu|94bHX1jEXh ziYz3_q^ILBaq3NV7%~|$c-l%7%q{N(MlpAI65EDCyh&o!5Q;LFw7#KNb%-h)uLumH ze-QhRyW$2)NsoymB{Ez%K)^`QZ6ZJB4C63~tPaf!kLb`Gm~K*e@eW@I&^src)dOrh zNCG_LBZL{*M=>>pWSk!yadML76PqpL2#G2b+T~pqH^&>saI-4ZA@svS95!e{(3#j^ zPy7_7WRRCgQ}ae_2T%FXSraG-CXAeg&|Y{%0teMtsbiNJRZvPl6n%9DKVlk2^THl7 zJA>H4IhX|JTIPruFn9&K(RcMxNe+5K9%d#!CmNMWydfGnN#`Ipj4eq4PLPWDN@%~} zK516ok+|Uh+_}48VTPKN@eVWEAwy622oM^3v3W?dWTjZ2!55e+O^py5^S4V7X>3|% z{XtWrXu0m`uvIjcQs`=|X+>UBW$x0LamtREg2DxWVwN_ zNeEC!(a1EGGi?uH5|V>xhLX*!`9<_X$qDQpHfn|ah5nV0ia3T$lxo;*>VNc4AMi=6 zfP(+IMC3vxgqbKFOoG*7NDCoG9-?QI%Jht9SbT@w;WMdOmXzWYg`5{CT@vG`(77Q8 z5m?OcVt+crJIqKCjGj8rA_(&~JgPj&coLkDWq6U`{o@mMSkl2`&o8(rL}8*^VbbH| za!>)bBTd7fq)y1-h|q*!Uin~r9%J$&t%bT#jD&GuLiS(J1v!keN;5bHw1Y&)F?2Vt z=H~?T9^YhNE6L6$&9n6IKxMU2cPOO%MxE^Dlzfg9GE)QdKTK@cW(9E7sDuNwA;!F?7=(LoYVy9}2er^hg|by5-r!ug!RSk_Au0$<^n+6xs{|d?5@sH+ z;ceO=kEGg5isu=u3^OPMX-Syf*aT_~Ah&&jflH;4oKnXsA4VFu$-a1RyAM16|C6 zGR*nyHaSu`G{~iKB{-PqiM%Z+qWc97q?CvoNb&6Xk*8N1B_-D-x`YFr@1IMIt@ffY zcOu+`X44P|=L2BL*a51BiVj3A2sR7>B|N57p467&TRTkj%oIcf?PO>`)^@a1sG-5_ zt!RJ>1}L>J5hBwMEzfkEuF+);v0PA|e&|4_1hPW8h&Uza5T`UPj)#ln4#L9z9mNX**weLkTCPDq@pmn=R{oNQ6fv&Cv+4uQ&Xp z;tCatw~4M`2!TJjn3b?T!6PTFtGf3Kb zO*Lu`15Jm-w&Q4e+Nqets5hJ#5YKP9AlnS5amLjX5{Rnjpn3$Qyv8BC8V;}HUBu$O{nENM-KvP)Ym zKBBYFkMIynj??|@=p}d@U)biw+N+|(X)|GsUu6qT09Kh3X@KA&_DbvgUg!r2v5W^N z(ixBO14HI{up7+|K8c?|fhP5=f<}ZnMm=)rx8p|(a=lK4Dg+$9PW@?kC5xc|HHM?1 zS|nH*^o_Yx&K&r}b`Z^LoJ7z`ZpZ*4QsYq!kp!~Btkvv*k~tljvs2!pju>I69wbN< zYg1BeDUy_c$Mgon5Ha4+|7seu2(~kZxejTI?a-lOZ-q_D$Zi@dy{(_=cK8>)kI>+khjoiY$WP6TXBC7`*!gXv^?yVqu6? zK0p@sCD~<+bAX7JYKU`d1?@tR(CCm$_m9GcoZ;XKNgal6ml$0w^YLZUL+#%*m!_wWa33F^D5Mui_+Q}*eAyw{6;dWu{@&yh?3c~nktM% zv^7`)p(2HxRcJ>q0mw8Iusv!qW{=1!R3bm$87ZWf)*5rjc@Z(8F7cn(@lZa9V{iu} z9zX?QP;hn!>yEl4e}yb&WRiVscM(eVUk%nP{i(7pcJ|H6aib;fso9(v9kcf_^EzsI_r6lYkMuU~vWE9u5 z)koA2ZYb&&5>)vz3YQMncyLih@qbE5O&ad-#HtV$PdYvgTb+cK7#>=pA;H0=17-A> z-&aN5vqvL>nz0tAI#>ngmd*n*JWfpCL_?8O3kffPcv*{ZN*TM1(nGasjT8|qjR+kx zkJWTMI+G+AB?#GgV->ATzdE50jRBI1kD&cjn-tnqw0;e}wTA3F?eq>}gX-`yD&msR zz+mD(gueLCi)?kJ8Uo)8p-r(D+if#psc1K7W->aN1byU@D|p&+#|RM+E7LSvmJ=rc zW0HjFFG7!oE3-IL+MCzI@0THP|+liel$VB8e059!8p;?)Md746J~L>Xd#wM3x}N zIQV1o8a_?oLRDiq$p)q?v_wNjlyz7o@PKKKkQb@aE)g(;F6G7t8B#oj$rf?O9A+%Y z2JN(JkTHiC(>kMGg4YN!hMXY>g5#P_-(|vcnf#$gb-)e^3-S@E>8T7f7D2}J$T(p= zv28+J*;}d=YBf8QA^M9KNqB$59g}9iPyq8=7%QBx5Q$tNnwYi;W8+KY)Jltc5KjaZ zi-=;dQK=w)82X0I9k4Iq0d2MQJGBfLrrI)EnAD=vG&3E(DlRB#+}*`&K~m%}(Xir% z4Tp<}vcUkZ^e{on5jKq2sOp#ET{k8;T`zC7kV0b7flpP-mD~d}zJ;x-6!$6$4hHwI zj1i4O8OQ6Il0b4{jYC~ASwe$Dt{Ui!7e<457TqBBsx56dr($!ZR3HZ&vubQ;g4J=Q zp>5|{87@_4IB9~DfZ2Byjrx*V-Pw|5XF<2G@1*}3-iU6CAk5pflaln)~ib7HL@17L4%~dTe_%4 zqC};{AYUOrZS0&E-HS%(hwyS-!4~4-zY6U&{_#o~eS9q58vx7|hR7{Rlk_sVV%D_hv zq)PaZP=%gBb;j%B3jJ&+p3w61Vs$B0*DPIto`vtg{z|Jkx{Nm*>gdEGkO*Z+oK_{d zx?AdRVvWaGZH1x-~uwJP$f-uPqU=KA#SrXbIAk*0IcibGz3yp9u5gy0h(?5+Q^# zL{?>fj4WyN438C0vIH;0&r38@HR<@`I5AB8q_t+;4-^lJ!)Y?N$4LfdZa5AK9c#>_ z*7-58?dbPFwfNh%ER`I9fINnkP(Usd(=m;#<=LnXogNeIVk5olv6XMY9~hmXx3;EeRJ& z#!g}GBDTe{qn!#ql?7l^X$Z8-11xuNnDB!c`3_nIX@s^`(fm_O05WEo{KdgL=^Wj> zZ-A*-_anR%P5{*|+~X@7Zx*E;mATMTYLz%Up9=?ZC^$*Nob2g51s;@@&L5dc1bC%t zs%HqK_@o5qQYcF0w9QeIuW_0SECnWzjB1EH(sQRfKsTKQGZIcpdO`{6GoCp0gnAxuBybfOf*m+pujrR@Bq9B%QInFOsWWsuXT%O6ZLn1DpvLb^)BX95r0 z(pZq!*$mReP(!czCJ5&8+)h=(%TWgN49*yHow{_YcADLb?Ag(qnK&aNUCF@mkU~ol z=1A*uP2oi$qv}=mR|<#9qf`{{fetFszpBEy1%>GX6+}7xWs)d7E^$A@=UjNG&~H4M zqcty9l)MilUQ47agZ>r8;<8fJ3<{B4JC?XO1 z5y*y@B^k7bD5#4;)OT%27M;jl6n!^JX!%M?&;7R4LLG9cg9{8bH3-i{U|8Li10kSp zX$bh$Hj*xBbCG86D=9f1%!#NaRy-EOM8LhdKv3G&gMXbMP*l%O0SynMLw8$@0P;jr zN2qGpulF%D*qI~CoFp$D&C~$E_0stqmwAAAPgq~Dy#^fN$&89AT+sWNSD9B55mr-1 zu*YI6jz)C32n%`>Mj`$P_>`fZ$g^Cfy=4mZL_0*7qI!jS(jFb&sI&gl84?y|M8Ha+ zsH`wgDzT3zLfhGrCMbka3vY|LUPtF80oY+Nw#cA~;3M@J14O&vSf;MA&qBX|sTq4D zLWuJ2Trj6L43vhv@Bc3Vy~9$DmbGzSxkwQvp1@cnfc6yL1)S)cydP!=7@JcF8ZIna ztwCv00NNBxS*bd$;y5kCXRHhA)kwL%J}3W+oU}?Y`1`oW|K+e^b$wN zMfBBDuHG=1=sa!^`kNITRi54prmg68ZbVPmqN?~zh(i8r!vh2h2T8zbVyVHFaKaQA zM`qH|FA-R(VQuV}%?)W3xr5aQgb9*}mszc2Rg3tGip^A0R3@>w*xQ179FR#Q&Dusx ztn>(pp^HF6;DyeU0|VJzLNQ5HGu2XR5R6G8T}6nkBZdKa9=FN)K;f6zlT9yVdSEum zc#wCA3+)F8y2NTV&y|NPiSf7|7AI5vcv!h9fvu=Z>|BkgOFW>)X?|js)ix8lf|OId zB^>8PZED5h5k^jEQ#QNT>O?w_M%Ct=dNDu*Gg#v^=!}ROz;3y~pMI9X!IcK|6yo4X z=#D-U;y*`F&VJpBUv`(oh}cRiBP*e@Sh$Bz#!;0ZDTaDpP^DPPKnqUbOXHXYY@~&1 z(lPYn;~e-{)9 zZYANXkz0h?k?v7vG`EUPFYM4-q>iu|i6uCohJ}{Ri+%)(w9{Nojs3jZaZ9Nr9%tjX zs4`37z_P!L^HJ%%m`7kDLmuI4=3dC%jCTYz%ODV)r8`}W!j4nanW$PU%9_Ajyd!)) z3UM_4GXpCYGngOOE^j*Glh~{bFcT3>cZ3rfl|Ir3B1u7uTC!=j+2WybPzvKg1_SR- zbGQ+Y4Jn3PlQ86NHKQFxcq6Mixbr`RI12p8g}|3?b4qg~**qYWeI~-=IH=JWa%`^ny8g27GGD!G`deXBaT{T7$eHy*|{i2lo;I=>eO}Y2j+2fUlK*g zCn3V29Sj^QQ0O9l78*N)y=^$IW4%{{6;WHt{74vdHh~vsDkBy_BN8If%~B~M6~(l+ z%lQ#;0B6aN&+HY$^~|1!sg{HgCW4~2+&8+AXqbgI5kdC#; z$*SeDlqUF})FVtVl7^n1qXHlV3>G~Tp?|`1rCIzTN*Tfji29>99rB0wSkVhN73MnD z@c+xOKdVOl`TsEJPb|;U>eOg9N1$A01uRVu=LP+d)RHT;m>S3Zk(nH}4r}70NwlZ- z$S^Pkhw5c*X`&w@XMT_$#FQq$@???x@R zCN0E&<3-Uhl0B%Hc^uOvqMJdoV7f61!+6{R;lRqa7pL3jcs^g7<4A@`5OgRfNKwx|xH z15wS29Fccn)&{Y6YWx(AZc%{@bw%8f*$k4Xo2yt&@}Z3b>}VW#lN*^pMk=ii*0*Bo z=y4=#=z7$$oM*WC=ek2gUPKnzxkx(WTkJm40=ONh1k*w4LmrxhlO%0&vL2yycquOP z0aa+89cFDQ0p7g4>&NtLc#woYIqR9kX0^~&9<9}~l9qwdJ8C|6S4PZcBNo)|f@3 z1rZfgp;cul0M!#QaS$jg!{Ia{9**YJnPi)T5CjYHaPpEkmc9xPk{K!xB>;boJv~&f z$ej`Y8Q&N9Q^&MV9HS=#;6&sbOh67z;fvC!*DE9aew)JHU?(wS;c*&^f@c=4X{cTo zfd~(wx!`Ti_|py!gy_x##JJ&6ctUR=@L17Cj7j&Ts8yrYr@8{%L`Nd1X?k16A#TFm zjgnLO`k2Q}kWEIkFOh^!N|La=Z_JuF#v-G5W%9%`F8sTgH9CwN zsa~DZ(nNfxUH1!DBf-Sp9BiI&rbVn8W^ZBoX;+Yf(y-%B^tF%{FtC7u1q>`;U;zUQ z7+Ao-0tOZ^uz-OD3@l(^0RsydSiryn1{N@|fPn=JEMQ;(0}B{fz`z0q7BH}YfdvdK zU|<0Q3m90yzybyqFtC7u1q>`;U;zUQ7+Ao-0tOZ^uz-OD3@l(^0RsydSir#lFBo{f zYrQIAnb18-sf|BPuSka@C?JxChWv<8qT8b;rvO4w2ocvEkPY|DJGkQ^JX#C7g8mQ{T+|^g|6_Y53=aGw%P) zo1Fh;!dc^c_Ib{`yhSc=@pN8a{A9!TCS0<}(D+&6@mTUnU;kagrL%_n8lGi%z2UtH zm+fk3dRlgw^S?^CJP&o3mha-c>1(;^XSwNXg~w-w>1BocyW;El-fE`L)pmCN1jDNg zZ%MfN3d4g8UuF0?!YYl&s zaP8F$k1}+B*8YCx*D<}Xv$^v}8k&CAG5xG#`dN4Vyua?jhUTAjuXX-!3D}ZKC*1q)jYe zHZebJ;`^KW{Y^~|o0^_C{YbvIsrhj;)5B(_hs|D}_c!}iLJwzYbK_%k*SERr+uZeS z;r49d@!Z1Wxy4mk&X%U1Eg$9lC5Hb@xYdIVpKR#+TiuZPtw)A?8Cw2s{h7>fWBI(z zw$8uU(D>ix-pp@n`q}nvncvO_;y!X2j! z&ojI+;Z8dlKF{z&hNj=0O}{&ves?zg?)<@gZs(sT+@){0gW=N*FEYF~;jRP29Sz-{ zT`doGy(_OjY-7Wh7=Fs|F9{#Mk>SyXZ#Miv!bcot_zuILCERV+@bQM0C%gS9^SiHR zXnNTFh0cG>@Ro#otT6QbJ&f-?Zp!O>8sB?9%z5K$PvdK^MR|R%-3?DQ{8GZb+lG%e zyuk2>3HNdR`&gds^BQ0Oyy2}0AL;%)()9Akm-+fthVIX!-kSMGn_eHipYx`NeU0yZ z&&lii-ktCBZ^--s=BER8cK!rIkM9B3 zIe$;W16|&MF7L6w&+7*nzXv_W`LhkbV0e4NgSRqtdk;1}9PIuaY^YWR(WM_4Z$ac}02G#wvl zx&DA5#>=tB%dwBk z`^TD2kM%e`Wg@RXWf#L!4Bft`)-wOpJq=%J_??8uc^r>3pB#6puN&{j8ShUs-k-L8 z-hbM0hHo^y#_;ZhPhZdQv4&?Dek9@Xb;HdK&1c77?fh*CPuSJ)e8U?OKBF+)$IyE2 z8J9V4K7M91^Ur*w;R_5uYWVAf&zdxJea|v|JnK?lH+?+opP4_=<9DLR??jK^iJ$U) z^U1S~-)9@Y&wg&+fA*&h?@0I@>)GdiJ@Y3SKPT9ToA7y6!%YnjH++?$$NzaZ zXZ~c5$H^X#lh5;Ymv{1AnLovP;gnB0|GR|GpEW$z@O6gYH2hb>7d*u9M8mfl{x;zY zw>CV+@Iu2c85$oiS}XG}GJaoVx$&aw^ZJVm!<`LJFf@I=_*a=f^+ARQ8GbC`OQsE< zZTL1r_xCi9?`hA<>!*F(@ScP(eTw1h4ZoG}^aQ2TAK|>qKi%b@?()wtKF@If&M^I) zVSJupe4c51p813<@62-zO+RP;A@eU=Y-oA&GV|}t^K$9srmvT~KQDi8-gvp`|18u0 zS>~s+&dB>`nLf_CEAwZYKF)Uk&-VD9{o}lU&Xl3~?VK~6H$9$XdOUY|UO(6Lc&_pH zio9HUh57jvcjkpxu48zB;Tsa3=k}gwdGRWD_|+c2SKpY=y=GwO_g~|RUh}iOe!l7L ze2>@prpF7~dH;fk8NR^K_`AUR<+U5;_17M1c$VSS2`@CgUT8gdq2Iso*1Z3^)eOI# z@b$+38~T}l!#5JXaeKq#3_oaSd2`VonZM`@2`~0|U3{MNrr$TY{5LPl>u-LYq49l* z@qLN$b;(Qf{w3c{cxlz}2*Xz!UX}1IbwiKuTil+v?wHr#dXnK+6TWQ=L(|jSOb>6L z$?I>oym-6oe~0@-ziwWPeli~4( z*Co7c!qCrO_A%#gO8DLthL1Ef{lE8XnSY=0{l2}Ozu3_C-|zeHH~qigB>aT?_lYYq|4Fy^ldkVmYv=V(U1E5B!cXsMXncRh ztBA1p~veh9V`)fTK;^?`2E)R^ZK{V z&)+sazwP#Y`*(T&I|mwmB;j|hPrmE%_^!wQyQYut?U2uX?-L2X-!goZ;R_9~PWS^q z|ASXL|MP@5SpMJO@%!P^^7;?|n(#-v8NMUok86g{O!$+g;d2bXobaa|!^az5lkjI- z8ooB+&rSb7cYAMab)0|69}FZ$IVhzfbtPMTWZ@KG)Fr`rUUk|NE-priOGF;K6l5T68?2>Lyy;;rvE!Vo_AW_xZ2WP9^boum+#&EV8a&~{w?9( z4mNyK!oPcb|L*qw-TnDTIq&~tKf@0h-k9(n^Zz}!Xa3$b42|!5J-+`uJFoxC{r#8e z=U#nFoKJcwx02q=Ew`_g^i*#BBcE&U zY}vn`}!4z$xr3MDD#7z4PF1h z{T*EA>-Quay8pxDolp8H55Mlb`!m`(^COoxa(Sa)<#m1?SgAab{8gSXz9xKsa#`M= zJkT)txjgxu%ulUt_yofbB%EGqc!1$641bnzX4Y^w!{-?K{h8lpes*=kLkwSI_=ALt zjNe7Z@1p1B^~EV4%Zsnh{1QLE^svk?O?g^gc53FAyFJT4J{*YZE^B)PxV&Ea5}lzfE46d9Op1H+z5P zH~US(%{Mf3dp7@Z=C_zK^muLI@!I0^zHa%krSY}p!Fhd4)9;oyXMU^YhWi*k-_Z2A zmFaWq&GY)!=NsOha2vO8o1>g}`P-O3wl%+PyI0=d_GH5k8(Q9Mw+a@A`K#eeU%4yuP#Xy|eMZ%i_Ggi|Kinn=-%amWD?g zT7ErjlgvMS1H;!Pe8hy|k%s1n-BLf4cRMt%?{FqG{=V8Ch=MUe-(DLI5%kLxJp4X3b`A5Dn^GB^^_^E_PKg{s6 z37`DpgvT@uk4bp!!woGjp7PktKjr5MpZZ+G?g$NhQEb(w#z z>EpQ`uag>i{iO2@?@9Q)#~GTQPd0y?Y{sRtPTG~r90ZFq0O)6Puz(hUu-PI&s>hLE%q*%b6GE z{g*dxiDgE54G~?Qbl<@}Zf3 z<*|nEH@rRJd8W_v-kSMW4GiCz@YSyW)t|`xYs~NGAC>v@Kbr6Y%cBcEnfce6J}>n6 zUg-9}ZnM1qy3-ARmGJd`{`Hq<{td>*8!WHiXnFlc^Wz&&$>-i^`SC{M>mtjKi_9+< zy(6Ey$nSiCVa~ghOaif%J7zi zZ#6x>_0O4qoBQ{+KW6^zOAIZ)-u^u2uQYW3-r@4!VSC}79*=ikpU=JP!G=#Ze6Qg> z3E#bip~w3@gUr9j{eO?g?>*+X%Z#tfcFX53v;4Zu^nIE8|K4Zh{r6hlysw%0_Z?#R z&xG%Pg5k9ZKVbg6{4<&V;QEGdPxztj3~x^O;ink>I^h+j-z(gokCgNJM~*lAal((9 zUO)Pe%ztbH!?O(C-;W=d`A=+W`00d+mQwkXrnkIYDu4QKdH*w(_g8i@f2HZ`%D-g( zv#&S&eZtS}Vfe0u_TQDSI@)>n_w(-W=iT3{pOp8n{%pc8>~45&!Y@u6zB%ES)-&|; zU-o!^+4%YLb$S0QZqHXfn)$D;X_y@^U$buJud%$$;VYG|eP~|4_F_Zh_iOuP{%fYc zukV`qubW=3J0kPfnf|Z0y#0pp_l-02{x?0I-#pBDxA$8sGXE{hzi)ladGp)1%|G99 zf4^h;{_fuS-1p3H-+Qg|KT2r-UHSW`XZ{CE6W(C?dV}$CgXQNBJsv;w`2MJ#&;Mvg zL-+s3n`i#VPdEHZ#6yMYI?lY?Y-@(dH*)I@AmyNfBT0L{>9__mvb_IN5k+$!*3`2>mw818K6|Y za~tQ~-@7~>cb%Ho?`|1dKm4ti`MH!^&t;bjS1Dc>utOP&8=!uEvWE`~QG>?}8YtYONFO83~zcmI{Jm-wmlj>&w# zYnb?`^k3xs7ZMKkNjOY?s|?-W(b0K*!uiPuXMXZohHo+arlISfa{W_D-<7Fz^ZwMA z5>C$;KHBh7!yMnr%<7q+xhUc6riQ71D~sHpMM0Oy$c9h}I6D~JCm*1B86)!jZe8SZ{KC2z%yy;=JA7p-YkN@f^-zuvoe^=Hx zA@8r5{8U-+YNRb(4Q8>n+Rt zdWRdn%J6#$A5=3;{;53Z+RU%-=Qr3f^Ba66;fCgy4PE|5Tj%wSu1NUcgAKov@F9x~ z&oKOT!iR2Q_|}Bpw_4fwBbnc12g8dKZtC`J`aI{aNx0d5hSw$B-1yu4eCKaZxWyWV zPd2Gho*m|SPZ|(8eW}nP&9I{gM4n!*CpJ`{Ib`_ zGr#xa4LyGQT%Gwx{vhF_4omoGkN>_NkH^&W`eSZQxZiaN_xJeh@9{Zc&Afhq>Gi-} zGk>7z;j#V9KX!M+a}B?h@Su$iQ~y>DUN`dxU!L%g-3- zZg2Ps!#^cF%FiG5iOe6pi{WPyKH2y<=FrR^^Sy+}Zf^LsgikR(p7NZ`KlSW{$9cSt zJIeXg*OlY`p82O8lJM!TH}rTNZ+bfZ33>f^_y2^gGJk^Q@iQKr`DeT_;WJM%G`>%q z&iu2FNcbGL_qoH&pY*bX&)e4U9|=z}|D0ld@OTt!*?aT-p^m}`mTR- zUjK&icEeAL9LeZr&>?>S*<5MR2##5uHok!DW9s%!}EIc?u2dMZ(r^FKN5C6ld!wg z@cM+kgA9}ZtNll2zMuS19i+Uh4syJ!!yNDG@YH;6=<-J{f1;e%C-yUZo#B@a|CMku z^tXhIPfNHYhj-Ye#KUXN$=Ga$-mVV#@~v+rLeJN#o4Ec>*U9Uf9$@&>gqykjn?26?OATHB=1`9Zhd&>x7pb6B?-6P*U;~8=k{!OOkUqEJ1Qo%60TsdT_pY_hsa-WS!@&JN-!spwxAr+J?X}kqXP?lg zMcL!t?0IUGf8n^-&VgfrUk`l1@nuH^e$Daan*|;a=;Qt3mq&l!JL0)_ z=-WH=y_uVFNCh&`a4?6A_?XzFx_kNKt`^9*^f3(N`(H{H%(&Y|#df@WF zs{{Y$_?qVgM*ZVGyv48W@Z<3w-s0DOF3OQ#uiMefuRAg@^6zzVKJND~J}}zr^^res zxZe5S82NC}d%gUop}=VWgI9X_;F}!ZyhY#(1EW4~J|)W0o^K9&heUfH@Z+Cplwt+EUz2%4~M}Ivm&L0-~-}*E^|JJh{50CabJjTP?j()rr z@v23<2A=B22bKj!eFw{49*q7o81Wj6{xcZk+0d@eH}s~!i04q`&v3zy4@Z1PBHu?M zpGPB~Mx%X}MSd>(vCED11s)UlTgT<^2>gTNidO|*?l``G;5Qs6UKV(Xz9um0Klges&%HbFHplrDjtkEU91OhIapkK6A9h@|Ch%{LtE0cK z{+XB8bOy%wwD!qfUK{mWdzY8rc5LA99gm27etWd<+oOHo9_{;%6P@qK(0|mPUOpcK|Is^p`RHhm_eOiXH`?QvC;0he zb`K1F@7vtV?^_-CSI1+|aeV(yfsvob#r%2Pg?{|_$e-iCpZxN`Xx~!~^75&h z1+EIb*zx1L1x^S4!SS^Dz=s@9Kf&=6)xhXqXS~?UXM}%eM!ugJ{+xBIpa102z_$m6 zf1ldN%b$w={ORb=pMIAgKPTGfoaJ6VH~ROv(LSFE`=9x>pZ{#+*Lh*@ymS5ddC@=4 z5B~E%;K$F8d_DgkUjE$Wfp{Vq8zj{nN>(#YpaBcCsg{Jr$rI3M-7>=ja>Xfu{t1 zJ@5g?>%+h67oz-U$1ha^*9QK?@ym}7d}&~`|5qaazxqu-e#0{YL;i-pd--d72S$Cr z7VURqw;#VT;(ueDzcKpHO_85BMg6}X@%%>Q&o>@&`EN#l_~zTA{2j-ecLlp6}#n+|3TRQVXq(m;q{I`dP3k-V8rvsF<$?8){p=AtiYc-{^SjTpAQUwqqH`2Vx$&p$iP`R>>>F#NkC{JA6Y~FWfthjMsNXf4OU|AHVCffj@S< zJL-4$zEOTp;13;tyLI5WfwM!X*gdk;i@JP`H!=hL0< zpRWsy{P@??y!@}Q|L?85{O?aYKKP-)Z#e!Z&i^O!?LQ~S@faT;iuQfzbU*&k9~~c# z{CYV0!+$G&JoXFQ7I}YYTjcuM7P-E*O`dIhZJYRb(zeOxy!<$?Put^`N7?;rTfCi@ z7kmG1TkQ7R+Memh+dO~U+RlygFCE**0zDtwI$rDLjuRa>-67EPscqBn@9{l;{P7jciZMKi*nR=^QiCUfAQm6c)ql4@lh{t zX|Skm%kX#0v;Fv1n*<&n_-)6nPjh_2TLPngPx!5upBV9Z;>W$bjptL_Hr`*_wu$;| z6ZLu0HqQ5?g95#Ow8eMl+P3ZRRdbwk~|I_yLsPEH{_2W-}z;U||I6k8kI3D;D$L)RoXxsk%UVdiy z`^<>{Gb4YV75VY33!QI=T>~RtJKPfGhaGoZ6X^Z9Z71)~Z97H0clw&2-zm;NJM2IE zDnI`0|2jVBu)vcXcWw*ZCot-_^R-@n?pA@`f7^E1(aXC;d+u_Zm;dLvfzf~BeWSML zo#V%M-6`-q$LB}SbClob*gYQ@ z`g&G-x#up&LiksFx0mDjl(tgDue_}vFGqi@MEoj$_v5``zt_jdw!SU=cwdYc{n5Ys z@AKo;mjq4({?zdWZwQR|zu-YHzwmCy7wr}p`S_ySz5L?Yz_S9Q|G(tJUfwBHs>s zm6s3un&Vp|AKv;SFCQNB_2CbAxfc3sU-j}pkK^Do0@peYMg4}N{e~i+hHmil!%G5J z2Hxp768(83{2hJ1A0Is_@OO^OqJJ*C*UMuC$K?^fJZ{lvp$#Wg2qP|n%@AUKh`1C=6M+aW-I1~9c6X$1QevbXbw%PD^_QlRW z8}XRED9S%~oO@2-vcL-hBOm7bygYwI;Fkmc?6?s5yb$$U_^2OW8Sz~i{HxyN$5&nM zxH|Y(NB>z9^;r}7yylJD=8~tHz^#8Zn=|ydC>vq1kMf<+(_$WvF9r122A90Q2 z+jk9|3_RWO9p%8A1OM%KS@LZSVPCKmVR@I3C>_=oN1}`aCbc_oabRzhkDnd`!geeG#u?Kjp`d zjq(2dU0!~Fw8wGL9>+y~9vAs}{H@OSfzbcKQ@s44Z3EvK_#ej)zsK<-TLs2=_K}ml z{LvUs<9(^NcwegRqY>{D4tBm1ZVddd2X{7a+!2glF7DKPTmbJ4yR?B~ZXI6Cl0ju&np7~|(fMK52p%JJgo z2S$ImLT^s%F+E4oN>!N>Nzr@SeM}N8g3@?8v_`mdRFMs(3 zf#L60UgG7i{=zZ7H`I1RzwYYsBZ)=ufvs{k|9d=X>9AzVGi7_&vwlqWy0BgqMG?dEoNE$iLX1Yx`lu|3?x3 zAAQyN;(evIA1_4tD#xGf<@nPP$Ju9e%*PG^ZzFD`!{j^ zH<2%Q#dvww?#_4DWMJgaUE$x|ulD12$9Qyi^oQTZc=6k}`}yC7z2Aks-$(p@AMN}5 z=zqU|$ocQtGcfY+o-?C-i{l@n|NkMzr+fGC&^AKLhd z;J+R3-y|^d{jUdm`ESn)ToZU{-~*0-9}4`e<3Ealk^ldQ{C}X+k3Vo|;01yAJN|Pb z@H)qTZ5?<-VA%Wji@f~r$gh9@+RG0{emr(&d+8^ik+aGtK>1kiQYoN~$?TbA=?QPya+S|_X z^KB11w!6RW9qw;?$E|+cr?Exto4z*6K0dWSzUt-2f8KFP__O3jFK-t9Y<6ap|LeH< zF^*ew2EHTk4##-^s(s7Ly}XsTSNqnUAMIOz*N?~ZdF@XK|DX64KOWELwQm#tKk09N zd|U5-?N8p<%TK=3@hNK^pSn2kILD{0a(wz19k)Bn@fpt#e4pd?+XVXf(f-Vxz5FcC z@Ae%c-aCB5kMDS_<4)dx+n??E)&A_;{rGcU5a{{RzO#=n?K?;Op6mJFzRN+*x62yKv&@Lj)TR(6@lM$jOUr!hkoYe;m*L%IF9(h*go>EDEoZa zKDvjON6!e1@o8C%Ph*kq@qLu`<PGM*B|f>gB1ZU%U_0J{|r|N4`!+f1jy1|I7)Fvs(v7d(YnP<+-JS z;m_Q$QNA+pcaHNr1&##zdZc|m#_NSs{P@B>jw>VoSH3dJ(O*|y9OcOORncEpz1WYh ziu_s?`LrtHx%#Poe)XY&VSn}AUS6|9VDyi*(LdHk{;$2(&%f<)fd>XgKD;gR;fU+} z_}inuyd&g~JkpOJ8U7sg94{aBiNJ>(-+6T4^^Wg)Lg4!Yqy66fLNCAjxWIoozUTFh zN3ROJ#__$+2n_jSHuv%|uL(RW@P5bly*BWuz+X5X`?SC~f9#1-zQytVI|fF+9vAs~ z+y#F8_}4jppgr(L#}7t-`C#b#&<=k5LvIQ^-SNYl1x9{<#EOgBKQiIRKe|oeVBl9A zPk3?QX@U1Sek}Uq$D%);SoY&5hWtt4|4HBQ<0pszCr5jna;6_Y<-d-nM*f|8vzI^K z7I>uNX~n>3pVOj$o*w-zp66;m{U^@%iM<13JUe4YFQ4&o$1}sfGe@KRYsa&qz0W#4 z%F!Rry3NaHZy6Z%IXn8-+0hkBXR z@)u5Z{Nkp8k=3P<#ljF6~p4T1}<*46v1utLsiNHG@uaEw5ee}QUuk+(yss?`E@yj~} zzB%xG$FD^H{YtdgSB{P2R|dv>@zqW*fAzS)s{^BbZix1|A>wtzU4H&+q3_0aFW-1n zVC3sf%e;J3jCVKP@8xgAc>K+1&zqm@$8Y{nV8rWN`+NCYKXUx`WZ>JO z`rmR>lq2828~O3wsNb!TAGd}--+Qa`fA3R)cQ}4O)-&IK$ji4K8W`i#ZU6LgeDAsa z2hrX?+}w}e_==h6L;Qt0*78w4<{!9BWKj6oI8TtIH?Y;b~Hw4D{Up?sMU+)_j`FUsfbLZdv z_-|tT{7u-qE8=(8<$nI|odeGZeAw}~dj-xq{x1Cg-H*Ne`vU_nb-X9q^PcZ{`417V zd$;oPz0sccMt`|4;(uTC&p&oM-yg4V{L=w}cRT($#-G3Rc=<0;-}|FK-v3cQ{?~T| z{>$-iBY}~>e_!t9zej)h$FscrkGDHM&=EKs81?z*bG#hS8@2!Q5-iA%cR}UT%>FD@)ltbU9 zp>I>q=Z?qk-_kWw+@^Pyx#FCo(~;Q8I1Br9G|*n;ENoewt3*$fwwz8eaFCv@6+$~@^+(v4?8}i zFVOpY$M%c8ynX23-t(_x`y2iEGsE69Ul!$02L8?QS?31+(s2i$UpjVpWt2nT4xw*{ z|N8MAL*I^`pB+1e{hd5NJDwf&dybD^9XmhX<#xV0Fzi3K)635t2|UAbm*)i@6!;;> z|EUCq{^uR(A9ow@qN=W8W{m+<%c{b*sSW zZ`GAi&d&eN%P-g|@XwAfjP`ipKfL^+kbhCgzv$C({O67@?hc#}^!d5tB}aRC_waxB z=r4PG*pKfK+tY{SS?Jyybd7 zeprmRhsAh%*jN1cTb~qoRN$3?F@DDWS;yhCe*Exg@57@%)FPj1(I0Bj9L$QxT7;$fv3Be=6cP9plY(#DDs|E;oI*Y=OX{+e(vS@ zQOAWX0zc`vGV)>7@4dYGHpjKmK5I{l@~<4|9-UgPBteJt>Xz=s?^9R2gdF+YCzOMd(# zPYjIud?f6B^i_WRqcI+Q^inUMusAU4d&2Qij`8zj3tm1k^6A8g$BEzc<0tJJ81_yI zdnbp!lY{@{Q=RYRZ#bT^U10cgO7!1TL*J<}f1eup8h_uc~&17cZaw z*1&%_ej@Vg6R(eQ)bA7bdijil18;OZGx*Pp`knQ1KYrGUfww!Jy;)#2F#I|Dq$r2J zv;XepPwpHz7I<>tt&X1xeV;lc%4Y`t#PQSpfu9bH{(DZe-#HQQb0Xg7T;qJ_ZW*{X z@Upc2Lr$2c)?DA9|(-`;KJw+7oO$EFEUuvaZ$9-MaRbRuz&Hhy?k-lzc~8W#nFE* zS?=dA-8%5_zy};Jdt=}i0;4~CKJqi(hwS*m5B&TWBVO_M&pIxT_P;#Z|B7h;D`LF7 zBHI6osNWTluUAHUTp9U#W#sFX-*Y=xZ4%fM81}D@`R3{vZ?BI2c=fr?cl8e)uW1jQ z4UBkQbHA6b-7PTuyEgp0F8cp<5%25X;e6L!9{6X+>mxp2+SkipdQV{3|MD}u{N=*~ zKOK0F<5!*&cxd3q0>9(<)lCEU2wc0(l0{2;md3wL7cJ)3*1S_ z^Akn5p{-nUfsr#%PD`{QR1-yORSO(vR2QiMq>L&F@KKRlXsXi$ z*|f$!5XH)`F7=PD*ex1ZSt3EY4D9<+#aIqeY9;l;Sky7U#yA z1m`G^Avo43I7e}A48ggvCoEa?_@1twVt=XM60OU6NmmaM<0zC4BZhr*=a#VW?2ZmjGzD^u!%SqI?;q!W;4j0v8%WYMstBl} zgh9|M45b!1`TsTyN{613f`Ki<0F_(+e}qAiDq>sqFsm>C5r)2Ee_x@u*jp$Tddj^O zwIWU>T~jUE6D_K<@Iw)TA_+wtiVi4>^t+%VsML{y@&M&fEI=^>#TH?JdKh>UPtj02 zLd{oPqa+6bxe3Tw9mFOe#{szys1hn+SLZOSgIHDx(}1c7sG{l=fDcQBo}S(wYoacj zhr8r?S9mV}IWO9)-*C$F9>ui>CiC2kQIJh((>d4$a4P0N7%TSrK!UIZ+KqY0Jcx1y zCMcZB7VG@*`{-`baFjgvfdLWz_Q*DYR8RNW+#T+JM-n#IY+?eV@!HmI8NjhZ= zP8kDib}bZ3$?RI-cai@kX4jHt*Mio01%4HZkYb716%$%P6o%%T1cxZkBRJnEI7D%1 z9>Jk`1lti@Erp3{<5ZnT$N*9e$N(TSY9+u{gF~#DhpYn)nPL0QK^b1Eq9uRW%`s__a=z8qC0h02C=GqAmqR ziGIgY`_a0EcX9=gLx9|p%eVx{ML>?Kgu6P2L{!Ieba~p#mZv>zxw__ZvURyS*YbH| zpGYrNw4~23RVKu4t9f0jOw^n`UCcLJ0o2)j@o(%6YyXCI|D?1hOMbBzmTEXDaNQ)- zbyI=9}9N*s2;!6`ZVlIRlXz zastX(sskk%#7yrJP?97ddG#ki{i)D7JvBC|zRNGuDD51Caz+}*CZX`C*G{U}O2+g~ zn_k#BC^dkTpgnmJR?C&XN}<@-U(iB|W2$vr0jUGSW7LObUtDW)Mh=QF z6b(?+=y%MfI*wKy@7Hnk6EUbFhGj(zpd>c{Ib&dpX*oto?g_91$W=fN19Dp>oCj0| zKo!wB3=wz1&Px_;BTFm@`bw4FLbb12wo3>Ou2Wal3{EKQ`rRjrplGapv>HMW6lG8} zLQxAvw|>V(m*!Y($-Cwnt8(&5fGI%!se~~=z6$Udkl%p32UG_@H33u~K($f{dsJKy z6)*Ia%B3D;`pe~V|GJH=iu4pz1vpiOlB$3V6hZxtb!J*+=|LkDwc-q_<5*F}`=hC~ zVx#`50MzP;B}(#4o?{D;mwybpTWoK=lDsD}#PpK4Ug2-d`-~U#YK9 z;IdWDH@3K3?XevVIQb1T6p3|y>j-*8;}XNP6`bm9c3G|##}@uztKTaw?4E_&P0hZ_ zWvKzA4D|w6Unum3dYe09jpm_H*Wff19@IlkeZh0UyzfGR4#FpZMcxCUzEW(VUgJx_ zwgouNZ+K7-b@kfBD0CInW1xyARO+P+^#WI4tPFK}D(GUM(4{8tik$!{<}?%@)I&{u z(bd~EJG{~>HBt|Y)B{X_9jNOcl16?c+7)z8KsjqcHxFSpx9v(olF|zY3I$r3qi4vb z_%6*3U5w;icI9Aed`(<4?Bma@jlt`-3N{N>DEnIdbwl!j&P_=S7_{vr_b$X6L zIU#CQgIdVS+82`yB}oF3r)mOkib^jzg=C?tVj9)PT@@c)6*5jk;jxf;OINf(gMcy! zsyvk%K*~@r@c!Sc&8BisZ*PCOzgV>GfI?TVS(1&e*i7;oXzYd^iVPG%9f^TY{OA#l zAy2~+1EReaG2aHjfca{>NE8$b`2^Ir!E{hw0`gVo@EDNafV>w_2S7CeR3DWv z3aD;M8Nge+w>f2cY5d;ilu09@I3q=zp`OV7Dd>4Lk9m6a~Z^F?>PGbMEhL0$A`i@Z#*$WpAS7n-1V zKwG|brOP+T<;%CaF)iP^));%YZlGjly7}FM3Ee;{bZfNe=2v$Q?A<-io>oWfc~$D{ z8dAEI0d0luLRt&sM<%aDA|s2c1^YlQ*xTfn4EN%j@-Xqu2DV-a_9EDh#oi|Godc;} z)x-9=;8MePYurNsiWJQZ^;$N2-NIuz+wGmDyVz|;>eaFF)neztkcDm=&AZjn5r86v zO{mwnSZ=DZoG4S{a$}86cNy!&vOBBYqO=9GouVX4+9c{$AEHT0&5@OSi^yuTsier3 zdfiU5e=U5ITixMSvzZnqq`f<|_czs|pPH+8C$;Dod%rhxZ9w;yl9RgmR~vu~%)vG= zXCc=Oy+XHc=ylfyphyvNsMlzq$>snyr6N%~Ae#doxuM}Ee)Z*HWQH4MtV<3fI5do4 zN1=OcWLo18Kg=Ip0dfq=2`Fdr3aT-N6B-8rN|FR5&!{4B$N4L14NblRCss5%u|kfo zaQ5*g_Ho$98`;OjKJKv{pVH0JBnaXi*FC{0-7KBb&C)`*T`PC%TDd!}m36ZeS+}W+ z_B1OeuxWb<^=+@Rn%03CZHZKw{CdEGK5uKVIwylTmDT}DCth?6@lL&i)D3Ny_kkpx?eMkc5sX~yn90p(Zv7=fh!-CNz6C!bav~Ozi1Svo#aUGqy=EN!y-u_SElu_N>cj z)?ueYV=ucC@MO(m{OggSW<4&r?UF^CA=p>y=_&QvPC<|DIK+;Mt|vJOg#!wkj>HN^ zQyWtB1*rN0iqsbXO42Go5|9NzcI+I(KIf3L^$gP|jioN=3!2$N(zA07#zN3(ON%3|P+EPrsF5`4UKXW(wY;sbzP* z4r(tTXv?-{4#mb-J#wwkZEh+8+1f;x0?3B-wJof#rDLy^o+jOE72dTjSV-q$s{)Gh z`M54Tes#L^Y@mf^U zu~6zI-@+rQsK_m@;muBS?OW75t#n_LTYb2tv`r%1C%5`sdzzf`Do@OMrInNHS(-EH zNF(-ql&Q08fGJE^rHc(ClLDZO%VmnnxcXw#N2U-=2i;6CA9$Mtee^X4i|G(0xqL{g z%V=aO_UH~=q1aQ_O-)@q@mu*DPeeGd%ivp7i}Phc4G``8+53qBm;oVU|K-K zc3`gR*Dwvy);P)uC}*((l`PC2TMhn_1SF3_fj4;Ct@JzZQuPK`Z(_SZ32Zl~vmsFI z`TSaE*VIbO8GAY=h&>+@>g*a5;$o(ljtOGV$Amh&#ss#}Onch3#h!QVI=i|ydmP4| z_EoXxeYMW6zG|Uv=Z3t`Udc&@f&Ql1t7zK|apPYtj}$Ecb(?92m(3QPSN*o=9lq4C zhS7SaVGUDKhqo)U#x+cPp;UHf>m0gnEH^n@vVFJMoszRi;Vjff4G@c2>#FHwy~+S+ z(|B3do7IM3TFp!_uWFNEvVtmW3``B?vuRyM6Dc=9)Pm(So%B0Tr#idRiLFDeKgto5 zw zPz0e!Ls0=m52*sx$bt%uEC3~$5}*r^SwO}Cxd6x!K<)r?3Xp3IMFOvDZ`wgsSM~3_ zlh*5Mo000Ny&4oz*U)Pu)X-~s6(o~s>@^Zh^EMOA^R`JanO}Rm)A=rA@z}amPsj4eU0U$Mil%ZZ=$=}~FKB)(3jLMUt zUu|l6U?aDWPd1qLr<1MZ^2xR?qsf-XR5kYYrwe1T=L_RHyB5a%eOBxKYA4TTs@DBh z>wd+RgHX;uISqwJwYIi~vs1MOsHYUD*6;yRMy&-_>uR^sKASl-Z7GxU`M;`KYtpJ( zm-n5<5KQN|OfaA0ngqQ|hG05YWP%t+^KV_yl1Gzpzh4GdtLf+?LH*AYt}bZt zSHe|&^r=>xElRM3MH7_8YGyIr*~u*CE6*m28n&vDB~`1_BCLd)63%CoCPB?8JR_iF zA4;pJecrr!L&_}M;#JLtyk-;KTH0mVs60_N<|}DEx>c~}l`I>zoVI%hZH0-sG$azV zojX=sb}?QT)aKosLNezenJL(vq^Q}9tn+^eLHSmgkwx1TG(AHI7KSX1XNt{&a=nG1 zT~|two8St`OxgxAn8&|vOrf8#n{~ydh0fJ@Qq;3!MSrkNj@i>mnh!fytM}WpV^Dr0 z07Z)N04itoatwxw)KaJi))b;Fu8D37uHwp@HaJ`CR5UWVPJU-uR@5_6Me{<@?6l_{ zik+k53saMFsB@Hw0?Ka=LOBEFG!!13gEAmVhQUgp;R!ZCY5*x?uoAd8+R;qC$#ydn zZ?uuwsg2Bzq8=-o#vDJ)nGHRVCT4SE0}rIR!nqA=w1KHVkE53w6bnPm#oidsnBSBM%HJ{`b=hhp@sDY+E?$+HCtbh zb-eVQ zat45o0#NIRaMIT(WK~_&qN=N?>Z%r1U8Sn7(t51O1ExGcDmUz*R4BhW2;~fv(@=PD zPmh|)FMB9eAopMcqy~^OjRAnGpINBQu0TPtbH*}7t<*WAXmJM0X(&9Xhno5sulevVy2$3{a9DK-vK51f&^b z0!wBd`A=f3hbT1e zer0bNX!lX_@&s^&dMXUTqCMUOmBNZ{CUXMHSrkG|VP(h^+QVgVH9cJBaqKPkb6sL8 z_4H1$OBW{Db4RXZ|f&IoLWDTNxaY|u>`x8O^wR|ew$1B&0#3# zpfKpjGIc^&q3{!NC_#`03(1h0SLy&M1*BRBkpg6fzzaO^BZH$W(N^plF}r%!plf6h z$_XfEu>wUFoi4QF=MEKD~O90rh&4K?H?vK!>hg89VWB&;wBnz}yR~OH&w2HdPT(q^ib@BS` zp`tDHGlS_OKar6guGqB>wf&ZqJzqQ2P53s8v!|;DY0p;-b#^Tlx_zfj|vRN-5-`AG1`kf%%Z1Xl9Mf-et}E< zYJE??_+7iyX1*Y<*C^ji>?rD?6fLayVQMuTa16=`C}-)edRB%0#0hmPfRZEu$^mHJLntr>-A#yW#PIFa#d?o%t|nW{VN#riI#r)vnNEu9JGt=%M;@1=AU z+3~eKWqzo}+5R$h_2W=#3{{N*)!0i=9TZSwfqP>2s?#c{Kj#BM-4pB2>Y#pCz1Y(* z5U2_b13{CZ4+LRR`z*~CvwfFhlc3)*cEN^DD~k=Cwl0`-S`#eTmRDv`ZmOB`o~s+k zMXO%ZmRGT0o7K&N*=BXINl+K(-K({Q$}7g~!uD1AwML+zrdsc-!+z^i3ls#PNYR8) zH6e=Bga9RJwIdRKFjDfU$L%Mvy4BRS!^7|Gr_!nGzsSYqn&p$x^=UzsGD*{yKPt3 z?`(3iWNyccBks2CiTV?p#j@R_$XZXiBDeDqMR%8q^_z0}u+m;E7d&Wnj(T>~gI2bs zYJ3kt){&y&pceUxKe|%X&6i^RMpM#_RE3HjU4il&0Vq-^f!cUfNv9iK-{whMSF5hY zBl()0D(Q41_I$djvunDk*xjFEU&EZNUa0`(eP1^-L^f%1TGAhBmUA3)U zv<0T+Su#!A?U$@YB$rrWgcPMm>q8VV0FgVF)u z)K<8Fk`w?^14tR2Ltx>u=c7_@@^IC?QMl}}sJ7xjcRJtd8CcaipK}LPYkQE^YMo5H zwkMj|(IlMLT6?0!WKY!G8rEZ{8N2o-vd2z~!(zAn1wD2;JZ@Je!_#wP(7(!;CM7GrHJ4l91eDT`~v z!eWdlB5Pe8C3<AI&r#L5#8M~5pnxvD?;+)v+?!z?fbM^pqaX#Jcn}6;h(Jc9Gu$Tqt9ev@@IuD9IEcgBr(B2FN%d7XUc|$Q?jV0dkEIPoO!dq#G1wkYDEP zBj4eWj5)I5I~=rdM=85y!4K2Ep<5PWHoY6TW#I}HvJGfd_>x-|>(#4p)Nfg6bEece zF+~vP6?=Z0%W5$WLpdka4Xvl0Q~1?N^NO!DSS2QGZxj&@N~w(Htu#+bW@rh4w}f_3 zrLJTfu~2?*cq0}bH@4x8Sk0rQ&XvQ1^HbVu<)>9l`!*bfatg|MC`?c|sS?zxv~t+0 zv{IFj9zfbu3D^PXEOilh7~Pn+(?(gt=G3g+W|~zB%iWEz2`46X(@9_%*Tn{^t~pBf znkb4^&n-Au9kSNdl5bp&(OePb9Qb=*o3X+GS58tfNrNvm)nAVbOMj z;o&vabv(4a*LB`@6|;M2yQ@e_p}*}az{B=ZY=4%ttyQuO=oZ_baH-W}vvr;A&yo$1 ze5G>}-PzJGoDFp)?M;-Dk$& zP^go-7-(>Sa&|$GI>A6)$S=6tC8$k^bvQUyf3*)T)qZ`i_VEZ)lkw~_AyHeuLV#V@ zTdA{>&o<>!8N4XgA7u5%I8(W7`b}i&7Zj!LW-~2J_`aW}tCDR5q}p4AufBa(>eeMn z%AQ>yB+lpp!ME>9_7G^wo^9wP?Dg%tl3kvr?AfJh!k%B1^3khqy~dF7Yu;57X0I`n zv>8#VU#I$O4E;+MZO_-T`g*G+eXyfiDRh^MdTfvns_`7NZm@7#4d3wL5N%r^14R&u zv^ZOQXv8nSl+WmfVgQO2D5jv;gJKlw7O~FnjQaM6IB`jw+0)q0&&Yw4`UurfAIU#B zV*4X_$vM>zP%Qz~RRYZ)DiNn*04NgT#9cs9(K#Fj6d^!y0u(I(Du4#akfJESaX=9T z6jwmerS}Rf^9s5sNgFS3?0UngvHkr8_CM6X8Gp8Ol8-prIVsh*M0`PJql9m{Gz;dP zs7cU!QV439*esYWHA_u`^`&O1p{F$6m6*RCh;Q5d^+ic|J{P^q&kZrrmKdqw-A8N0TC zvb~0qwtz~u5v3g#J~nFXX_|>WPq8|?vWxCw>}epyo+nnFU4g84AS>zUEcQH*b#?`k zZyB2QG>~G?16gPH-7d>m--XKRs-ao~V(yXla7y*uN+u24_etgQVZAQn`#wM1WXYlx zrT%JvUzHuzYF|&K(o-mvdV9(o>*ceu{e8UYS1jY${MYy5|nyDGrQuUno#Phv)OhVzca7g zqI41oDB*w-6DWa!5*=tJD;|OcB>*}bzR6nx2qlV8La8J1F$woX9ui(CF@_RoDA9%z zawu_!5_~8v0L{MND^8jNN~*ZF&LxzYa>LR-&43w;~-{Q=&LY!n0lyuVX z@JjxZT~JaCN}fSI)0!wVEk~HTl<%5p0ZLGtRI#KI9RW~x0Msb}bq$@Pg8=F#I!77; z>N0>j4xsKMAQg3xTm;mi0Cg(?oeNMG1Juy~bvFPiPIWz%NJ>E65P*tBT@rvwnYt&S zP70{20_w1Ux-Fp23#bbNP;sg|1M1WOR3&wAK;2v=(iBja2h{O(knRs?5CAk302&Zf zB3pHibOkg-02(L&4Htk04M0N&paBHXFrtH`EubOAOXeq;s}iXTXs8h|-~bwS01ZAW zk-vZjB0$5D&XK}^h9*D*6rf=W&|n2<$O1HQ0UEvl4PpX@GC%_wpkWQr;HHE511>VF z;SSKC2WaR6pcXT-nvw=XKtrOHvUD>6Qk#PsDgh0cDlu$|lk^5OgaR5!0S%`*w+^r* zvxAy$s_7y^vuwVI(BsV|dzM;@h^j9lY!^S9HPT)Dl6LV+O}qG|5iLtHcH8xf-RP2b zy-T)Jt_!9SyVFw|S=q$C684q4Y^$@c6#Gh>`+Q?CQ?HdXzj4 z>$tj%-16_rme!=~+TY9BwI^7zJwdUrDQbVOtWCFMe~&WDI4ENdr=XmNKDPZmX=hv# z(6%xK$RO~T_V=_CQ|=rYo}KV5MSh#RdOC;0P|iVNfWifZ6$(GYrSBU`gSjGbEru8(QUjYmr}O_>s33C1b`mytU{xt8dknZL1E7?;F2W2fudD1b7eK zn5{b9|CWSy2^VCKf>mx~Y%jo%6tRV3^HF)QfPicgVu6P^+cPZNo*`5b*x`aJ1OIgUhUIt%Cp*DXc@?x_wbBwXQKdyWB~1CyyhVpl@Ymf*NKuCT3SMWo`cX z+rk!-{7Sc@++D2L8jv6IEZ$htYLOFA&f*_bi4L>U0iYyFK=LHBK-WiQyX&4hl3nX0 zPSh`R{GH^KJ-c#D*!_yz>uGN%HSkl{Arq>)hGaH2w=|EYa@jnZ$oM{%v(GfK z&oI;JwpzkIgLZ$$s_fsG$<*uWR!xwb&{IEUZEyD22CUn$`tYKDVn~9TAjfLtNeX z^@1K>K-R)z-;v0wD@XDc(AGxTl1#z3y>gaW4N0Mnm0kpwwMS5{Kjh-sL3r9(pV>n$ z2}k`}Ip2qYOU|z6C2N%M_cqjWbu$)BBeG??hj5t^U7a8RMT#0j%@eK$Bv95xe%UuD z)SebLd199}<%*u7f~w=hC8NFBTd>D%%9Vo0zOKaNn_^$lCO5oN5_|EAJ+kge!JcDE zJTZBTx!T#jHi>wm#4jZ^%pq$^difg^s*YYJF5An~ro?_piCrI;dre7P;b}BLN=mpw zQJ?Bnu4Y-FJkI-WU9Do%YfosE`8I9BuMH-Z^TAC|@|5jK9uJCwY8yISS0!@VLdorD zE2L~GAv;`!$*qPVLZW$cYRO!-c27nIdu=hRh1heC>g?KGs=71PwBLz6?{jr_MUd+# zb4Hs{srGz0th0L(I=ebY%AOD5b#{&3JhX4xZNDl80XdVsN>r}1*Iz#68mLKoKG4+J zeT;GKYNOPdY!fiiu1!F$sLdHQP0F6_SS9QlVf?`+I$0BY-l}zH)T(^!TiWf)Cexl? z*_3r7jwy$`{DFC8GCZ2sIH7qBpd?8^^2}=jvv1cv znSEUnQpvAeO z8N3$Yt`q=L14tRp3*=3uOEXJ_JW;-AQImCviWW;1TP&$dblJVl3V)-;7EAn)GjYe& zN0Ejl6Q;y0HvmeK1SGHE`Kqd;l701MI0jw!tH)wCg&X+laixp5Vi>;?_bmZB zIo7GpYVXy+W!B^}0?_&!H5QeHrl@4^lqG8QI$4*!PR65;c8jv2#gu=LqdsOTc(#s$ zOE%Yci?U+VcGeQMPKztUa@JsZ{&cC`!JRmQGiJ!Q{^^@Lr+ zIy-yDu3xp&^>pYlk>>Acn z_H0;B*fp%PPiO2J)>HO8r|N-JPO&p)>^2R>P$S>-oT{@cr}$G2Vz-y^GVN-zJRP(^ ztym9JtFjqq>}fNJJ#VHuyPC-#P3BM1CBBP2Z>BoCnu+aE)1Eey*z;zpv#Xi>8+YvH zCEDd!9vQ8IE4Ct2WEjY#-M-D6RaK7V&7>#DE4B<*GnMSAc-U?2TS-om;=OhS;hmBm z2A6tU+|Rne-fVyiNH%ioev zb@I0W`j*Oi-%{)%07VMx&=)LO^i2K=M{l98T|GZ~Tm=-|5hd zgm=*V9t72aUlScJYF+{;scJfiuYjrvsIodol>t>8Q1t-?0Z=GZ!e>BX0TdiSAp#UA zK;g1;W?iA91P!oV@cfp6tShj9!V4(KfI`hoEU<*|`;l1|DuL5Wv5FSd*6{uzH1!RC zQK7<{Q!rz|4qKCR60Yi=4lbJJS5 z_40=%Z0*4hk^@R(a7@j%&TFM&rbz@;Rg!?@sj&cs?R@LcUMua@N~hOWI(Dg7t#VMTPh@KeW_sV-FomoV^@H)k5Bh%@!);fKR)g3 z+MGz)vz>#4y}mi&U#CjhR}<0I#4%xCt(IGD+I!T>8M{X0Y?$iRh-_<`9v{G!A-%j% zlkjU;ONWeJ4Q+Pq=x}6ddVNzM<8R&+=+)JF zZ}X;r*|GOcGC9qZ**My(>*`(`qBM@uT~!~xG@JOPxv!x<8sK{CFOcLzAYIhfYMCJ^ zkzh9A^y(_5*DfY)NcKgWHkNyN68f5zYCEJW&gRJr~uYd;H{`v-ReOg5@twtu8SEWg?K05XL zR}nLd*~%`rsFhuRePx$e^c6rRm^Doq85G|ABI1U8J?Ll9C!Ny->a1(|w(R=$;b z_488pJU#0Dq4{;x%Vq&SsfR`Cfx3FBc_j7no`>gA@d)b8dvRJUH5jC^%n~$-rE;^& zw&$x|r7ml~dZ4ZSl8r6%)Y`905k^2E=(6^+ZLjufSEWk}fy9EXB}|D%(JozxGTWO}I>nCQAgM=^s~Wua-KimiSsY+0BcR4eEAG9m{V} zlscuPq>U{Eph)2f)I2FwD)PTtS7Oz1f)ac7jz6$&N>m*Lph&4Ym5N?Csg{>kD@*-p z=dv#LH~})`m&B3Q&?BK-zQ;c0iiRDSB}rA6B-O@ClJ?rt zo~8Ecrv`_b4+$vjv0r+FcBx)8f{XA#6`1%lwtArmS=Fu9rMlJdRWFxnaL9J@YRcJ~ zC7J5hWqUd``;JY@p1s1Gu;<^gX@|W_Z}p}ptqAGTg+`bCft)V=$sBlb5dk^fHGqpy zcTra@sm<)FB~k0jlwU}7Sy<}++l$3k6L-xmm`&M70E!egp>A`q$>tzUKG;~5K~-ST zZ4Nfu6z^cO%|WxN*P*%wWfLiELfxk3gS4L6yS_<1^_p*&z2;l%((BDBd-mD2gk4`; z>l$|L_6Bj%(AnFQ3A^5&*xs7=U@P+fIJX)>N4@w&sOhOVFCuR5hC< z>uai--FQvevtcx0_bJ|-vCYx z7c;|wfRZEu$uj^5ta%GdYntn8T3FX?VeOqv$FzX2X~L-$G!Q}gjQ|uW z>_Ab{Q7hE=j*szKx);R3F&&BTM%a{OTP|XjR{-uvQm!J8R{|7ra!P$R3yUWCDU}Jl z<$vATDg2yL>QC9%r4USeR3@1BswP2otttC!R0yWsA`{HJMw6iW$CUbqTupO36U_6w zNl-~X>WoXT3hg#Za#hzEH&aV2@ysHk_E>Si( zNVc2**)CB{AKdW2TxUbG?-J?B$J#)lzju)DZfjf`&;6<-n26b2U*Ry(e> zCQ=%vVAa?KP?9Pp_0#Xgg007m5APCcy5(RC`Hkx)5TFJuz zg$oKR6n--;V@TI!5JvUvD+Mhme ztd7>wNU1tJ5$s;^c;7l+Y1kf&zt3fN)9g>xqswQ5K@HFpG?_uQy(9>Q6?+1*(XdAM z!PupcLU_EIKE@B)7!QLKa!v|?sHWW+YObbj&ZwGpZ@JN$c4r2At(v{Ib>~p=FZ-WZ+1%W#SgCa+-x@3!kFv~_%ePVy;hZf`L$}@ zH(jd^*dMR04aA3E`C((6o{ZxdloP6b@+ny{TQb?VUL{GCB~O$E?yhbUr`61E5GPgC zpP3!7KO|cl&}WZQ_UtLSgk7IK8nC|sS{oQ|uAc5gx2WPc;U8B$$L%ZVwSlSGrrFje z+F96UHQUbmY^x7+!mA+IH&&1$$)MWtG$k=3v|vPNw#CRl<#VWgf<;~sGpI&)s77~z zC+O5dD<2o|aX~&Vtn1?fMv;<_3%V|2SuwRzp9M?8XBAz^v6YI4z4QTBQc=xfNJ$B= zd1y;wV6LfE=2-b?Q!G(Chq8e=AMxk9d5w?FT|V!KF2qf{M*o314N07b!UTmA3cG$+ zwKszxH2aXY^Qh1HCnM3;ZCN*`v5SJ%lQIa%EFj~6Tu=#pfZPG(6d>1#wIFkuKcA<+ zKxi-jwsKicafcBKClq$*#{AL4bzGJ|bNX7MUY@is%*Z&Ujr@a%x~YuPsquyR;qf(i z(de)8m6K37ps+#Vg(3h&ihx3~DMcPote$u~eA0`ijz2(+b*?)ll8 zeI=>Ubvef=DCeOtLE*$LD4Hbdu~SKU0BHlH6Od;0Y6)0hY99AnjQJYw2YfPSR<_N& zL0vZ5vch)3Y;ED&dghW{F2-e{Px_h-k!28Qs|^-)13ep7wXV?hUiOqy4IpL2LSPqjgOzGwxYBRy zghAbQs15pruEBtFP#BHaXU!5xwH>$+SF~mJcw?he?G3F(|SMMb@k>{ZZ@6ko-XdAftdx19AYj1fJ7_ zQ?m+|OtokYjV3Ta;ex^ngg-y9(2X=M4yJcW#Gc21pGcWq2cSZ}b`a zbimF&W1kGx`o8Mm3TK~hV$V10>&|P*IOvPQK?WwR-jb6P=k5EkYQgAIb`K}M9@sDn zdJD{FS)TGK0Gv<&8ghExt8SC>APm%5^3+-2!`Qs`jbw6M*)@r@1}0dCxDHzCNCPMfsL|>2bj!uZG1MKPnXk5HML&8q;6^yt*htf zBH|170n*0ssAJE^-`vq>Md6Xr!Fm0)9RVe%ElD`1hyxLEe)$5jA>s`xQ4bRoPSis; zq@HuqDHb>}CU9d5^ZG4ygA3NYGBX%!Qw`9Z*Vz`vxR_C0Y%vN|U8D_=&PHS2A<|Wr zLY%L%>f!Z^Y9iZS8yfNsp+|vg_GE^UrVcTrw};@xNd!bKAE4GeL)oz3z_*@39%fYu zzTLpr8!OTYNVE06sY#pH!=0ig^ z#{wvXT3h>;BL($sB|9Ib7*STsTc-rr5VO-YZWA1i}4_&_(p3M?40bt+&Jpj?@+joNg(UTYd-;DW*m zg`b*1H(=A63?bP>3XmBMHIma(Z#YdErEi`x`cnZl8+Da3!=5rDBYck7uAW9LXGfH? z929N%!m+NN;FNEiR@4DXQXt5`ZEROhaN5{EGC!~*gd_R&!rkw!<=A+o+? z{FL)Ge!# zd2D%7d+lZ~r}p|o3$-!jhGm5Qyuz6NfI>%YZ27>L{zd{nG;9G7K|$#UEzR_$Yh;)EWbb#+aHN zn_s4lmd3`=bUqq)Oq9iNL1Bf$k1?nlv#EW2R8u=tR-g*MR0A>q$PA4kAaC1i<6||u z0io9nYj$_XdX|m4S{>D_Q;&~X3d#ipL zj+~sNIBqvoR>3y43JY+VO}}DNAdtc))H@tM+_x5daB~)JD3z8)>u~m`6J(x)k|z=Z zS2!`{lg7BdSXLWXYmCPRoD6YR3VpiZgekObHVU#Lc@zpfv{RFs!IElP4K=?_YJTv& zt#P|$l>K!c*|F<=s4JOXW^GZA)img=AW3CX0aV0e4A+xz{t!9^2RQea@Hfi8pw!4OSmYPrt-qgwKX1# zRc1=V_V_Bb2q&PNRbsC3daknTH_oF8s%(`!3I#R~P7I8VE=(<$&IwybO=v*kFqCsp z7@%-LVTHnv6(|a8uqw>}N>T?%DInE=3;;5NX@QNi6LdNa*7{>%HT?msiB^O4gbmg) zDKvC@3&@1__;IP$z~@eio3o0yUyZ|Tu9`cN#H;381ryWs$ZQd+1!?w*f8ysf9dp87 z@vluxkIgAC{7{2T_&pm1j}uVNVjqerF`Iq<@|AAMj46JSCn^GOkm>QU`32jfYt*S( znR8GWq?sEJawuI#kA_6p(5_1^}7Cw7^CI@v6{etD=SqJ%Vvu zKn#j3jzCc_4>sNr1Y{bJ1Gpuy?Y+z`&(So@8{?HSb;$euWAMik7V*4k@NvU_s8PnU zMzOd&vIlCDafAS<8c}A{R{$GiCZ^dm_8SZh?ILTOf^r@T6BJHr4Mh{J;7LC%E7Ai< zo2fXv{jz*+>}H7ulL zr-fyW#hi!21cj3p@#U9{HQ4l3#2V|MuwzV`F($As5XSrhY~##fG+#YpnpGZpH_|km zSXPE;jff)xn~`%zd{O)8UBNAum{8W4xCMQzZXt(Pt(LBGa;@#4tk*w1bqWt2KsVrl zo;;N@Vj!>_olG}QltxS%N`;akdn+mqzW312s47 zYtuE(Q<5Ygd1W48-E(qkf((tMx7l%0$<1LX=b$h^vktIs(oaoT0^0Ybr4B1n3P?2| z1Axq^>cGxR7Hw0@OzR`y_E!aEW%5z@0RO_AW~{kK^L28Xi90TG3kNpda|Cc)qbgM0 z3aW`o-UE;H33Dp0zf@?~1(Q?r%X~Mrp|kptL1%T85Qighg zT^CHwrw@-Rr*vO6e}J@}SGK>ar%1VjtGxsS^-giEnS*0vdJ=f7f>&^9ZDQ*r1mx|Q zo=Sw;wJOJWAZ0>>zHNN8;`ggjYoNL&e+KaXc|E8j)le@J*g7n) zj*nrFttz%4^cBEk552}c!s=IJb+`U6Ay%Cl)(Zaz?}#1FDRu(e>CBzvPBfMtYbtvu z(FFv0H2nDUO^@AI4L=L(JUrs#`TW?-LT%Qz(p&V@896bdeg+p5Rw(?q1x4>VIXR=G zLI#j(Kn4JrQM7=p=bPz~vEgys*LXDc@nUv`_JCH5C|u}(q6msMyn|x%(Rn8Uv;t5C z4XP1S9s=@{3J9|1o?A09F+4vTOR;r3i;{J0P75+Pp|C@d5gpbDjx-b%Q1swA6l3dn zt|@vRU2+6vfQ$oj0gxjC6asPzkZZUs$Ofy-<+ZUe_`f@?^~{*9dC*A(pqT!DRsk)8 zX3-Bo)!_ubB2+-E1#JJJMFMSn187A!KkF;Prs?8Qhu-$xP?n|%+ewc)O_U%L4I6F$ zr!=wrKp&BW#+IDYM6MB6fv+;xumZ^TA+#b`!_BxgjdT4PtumvAYlc@(&koON#e&DR z$u&0Rt4$`?DAhR+g$W8L6m}>wIzA_gwCK9eb9;`E~1*t_f^oOV_Pa zzV$U-^LKcrb<*xG*d2$acX+1liZ&hq_Ca5pS;*Sfmz3D^=dJjt5@+Ft;%^ORwID!A zk~+vaDj~=f77>I?$+I0ZBSv!6qYuiu;d<=EM?@lJwvg6 z7d0WlgI?$c^x6~y3+koQF0-f6&tK8;YujntX_{7l;kal_yxwb+H1I+ZfFdQEem#qT zMcbaemR1~*Zux@+Kz0CG17s6N1Rl8QVK>&`gbZ^+hHF|`L#1$f+Bzpd399*C@+cHU z&G@CKbr43tn%8UApj2n$eGwl;v}i^OW6%v5$P&qtW&is5zO^Efkz^(>W%rp8 zRBJIa*F7#78P{m+Xy3LJ%L{g7J$q6($J|W|ETbyWf-Iw=%si^Ln!6MLU!YJb>AW&u zgvyNi2GaF>X(c-(KeLN%EQo+mq6IjlMeCIYQYJ{rW)M*IWj!DBrPZY`P+ry&zCamY zAW!rJ&lr@+cS$du%a;0z){2 R0mQiNY$Wb zqGz-<4rZOYeuG_D$J|A%1F8(MSz2$m4t89O1`((v&58vTMq@N?mN{sQPY%_MSYU}$ z7%4A0h(GUsir2wqHUrO#*LuX4H`CK98X1Q-Q@oyHnu5)Zfx0mxZ|w(fDGIAUhRS%M z#Cx6tAuoP*ZQkNaW^Bc`7@|KUr{kNeV_9~boSblsQ@5ADr%e%zOKew@F% z`Edsx=f{2d5|#aSx@0NgHa-ltF}S#OaFN?Uo*9$gBE@Xvn3dqd&k3X!O_0vR0#c|k z=+-KFr5Yk4id-S>Hity7(yUJCk#wC-m8l@g>>wlV-efdoW@NcPlOvwEHr2V zhL%}OP=-qDAp-%ekbq`7Q4zmeu201)a#mXGS&kGBWs2WL;ARTkLZ)2AfE0#!Q4znN z42U;%W@S)G@z9tqReZFNx3QEIXx;=WUSS4DN~g?j+gaXQ@=Q0&du!gziI3zNT1P?N zW@X8{tb8ChD{r&(Z$CYI@S*l?qknyCw-0xLJOc6@2oVrUe8{F3^f537!fNG!lm=2J zNXfV&%KV(lqV~N`8#>qfcn9a?-s^Ot8kPA*E(>V3j8n%;WgETi+pO30k_SMZ;u#R$ z3B-~3(T6W5H|56{5lzhRCtEVFUz3NZMoPqYh!uS)J24ApYq^9$IH@Hi607~}F|oSO zo`YCFd$##<*?wEPdcV=>PVe7h`kUts#YB?H_M6Sqtt}}SfNLhM0+>S-$&R-fFwgnz*yej(b2J0DEsT z9+(IqB*_VqAAzD2xLbabak7hj26`XiIrSnMQJ>_6CI!}SYJHI(fugAPp!u}U*2lO= z6hZ`qlBfXBiRYOzK}trMC_XAenT6xL2cgcAxE?EsW1gkzD3|bZ1vC^*xs11RXGoOH z3yu$1qHS#{eThAo)s)#1pUuoybd=kkRc6fH#`gmhK*)g50$~95*6ZzZn*$J9fW9(- zW-K*;)B}nJ0a>NDZ0`qhPF8~bY-Z)b10YYWJR-yrN50)zEy^k4nb`~!uZ$3Q>Q+x8 zavvjq0TD4OmuHAIV~GypPt)>Lyfy1%wsFVIPVv^Ih|e!It*-^SEqASaQw1Vmzfcbc z$COYeNXaM@mAv`<_~eJod4Fs%LI;Ex2#2~)S7eR&X^T-sT7U$QNI;_qH>ioOAN~Ln|8lnWah-sh-tN6)m|<*>kk@pKa?um$trn4+3Ca_maH=W#|Jl zCXkx_L0kc~O`#w~gH+%ZY6z~VRh@yoUUkzUaf@pE2vGe;sQx-xvidA$d`-T__)1xP ztEW8E>oRN03II|d^wc*%e1R*x263f0Z^9FPt}Od10I3GmqN;l3esd}sP@MtS0H~z7 ztXeIT!##esZ8_?}Z`PKZ98@ll!xNu|2#Vl=J%wA35 z4x1Ogb7E~m-r*VdApk-JgcQhA!Ufb4keMW}fUmfzP>`ZQDgdd5aEYSz`E{{nxi8}2 zZ4{dec>?6IPum5>@T4+xodQ6L0VxdeqT(4pONDnqfms7mV6T!puPmxHxKOPcREwh7 z^mVh0%~K9xk7iSRe>-Dw8SjIy(QNu^?GFPGF2V|oBxUJ9lcc}kp1(OiTS5Fhr2)?0eK#GglXa4FIs8i3fn&w$nSpIXI5yhzy4Y{Xi)Lr5u$ju^oj>I(1k!ZNyhAqjMytuUYyPRrhPV&bTCBaSzA? zAWz9-K=Tm~s5V4g$qAC*`T}GYp1yuwGl@$9{0xyc4Y>>C5s>G=I!DYm2J|8Rc^%@T z15i2KR2oQ`ASI(r6wb!6_SIRla~DdFPME$Sly3~>o0u`+KJ9S=3qQ21x81wNil^YtHSg#y%Z9Ruke zNGCzM3esVaZi93lWC%zrQB(sH`|{f?wB=Rp_&}3=++c)BMZBt~lU?jV)jW*#tNlHw zpo%n)kKdjC!-fAq+eHf5?f-~Y>JX`H5XiQ-{SGM*dPD$mLJ5%>cU~zDq)?Eey@Cs* z8r&5X`R(2#oh%)1Dv#P?@bqHn0sLe~t-p8@Jd1e@IB#`aa$r>_vOz zv9HOx3vOfJ9jfkf7u?8{>??cc#<5{&yvTan)ZTF)0w7dCNP*Cks6Z1nx2Y9zr8tm6 zL5c>c0HhicRg}SQTa*U7Yf&D8ZHsaiTklL~ei+s~AbHoKJdhvu+?>Xqn=N_QqCAiv z_S}R#_YUJnq?WS;xd-HdzneWbCAJ)ba0_S!D?i?e(mP+?t^PVp-6V#?)G+&LFmr32 zmb`AQ(~!Hh&g@@F?jC?GdEEoBA@BA8{Ks_OD-g!LS0LO!Y#O@)M%I02u6q}HVh6UW zN4_rT2cF!4Ey>$vyyRWb599`Y9vhub=SGX*^24B?-LOq!gAO9vat;K2-UeO$UCF#a%I+%v-(#rz1bElS)2 z@&L$F3<9E5;xOnw41$20@>`TZ@qx3Te_|btqv^sa96&{WGKF{q073J{S^B#0MfPTDPFON;3uJ_5>` z6D9Hh$WwEBj1fVTr8?TdTsVFtKLSMvMEAb!J+tbvD`J5*mWI_$Ph4B$rf#ju@W zLqY`DFN#GO`_)^XVo5H|fyQZWB7K4rBtMpjGIIOhsY_2Jx-$z;fIJ35gIpjY5cqq_ zbyqAdLN0V%DGc$Vc;_zLzA#q_cYR@Q$~TQtZC_aKVK@EPW}Bbs{L;U&J!w|VW-J~9 zp}`uU*1)4RAg&YuQVd98SR-SKiEZ7`v;KS}Rf?!_?PXaWM%P%0SFfX0RFchzxz)iWc|Ea z?H2UNv1S4S?iu4g3-{NbW&gakr2z{NJ|N7(@`Y{BAhLi61R~WtC!4*h*-QW;hWY{m zdIhwd0yMsw2hvE8riw5aq}d>i2k8PxN4%LUK}3<2)Nz%Yx&tK;a*h8B?r5@VK`IAb zX>wFLj}MMu)x2RodEoCW`N=V?saupxV-8B}73Yk`hp)l7nLB1u8C@S{>$Q%VOkE?E z$0bH9-RYOPVc2x@(B?)N)!60617m13H^wG|KTJ2vRgCWQ!`xHGam*h)0P>V<2P6a% zoAw~C1;}DvX=9KT;R`>-r-PjPb6tq-;K;@%!m! z^ErAojwuNBXL~h1$J=}pHPFT;6AZ%7zQKV}J8w3tMU*qdMIe&UK=332k-hR!J4fb+ zGQ$zG85Cet5Cc*eQ4yt$^k|s$2OD$eHtua~Ge=j+bQ3SVG6!4(;KD{=+Q^UWVj3dU z($dZE=q8ldfyihFfiw;QAjNnE2{wwbk*vV|4Ap=cAw2>XYhlLZ+SXA_W`(_(u+0j- zqaG**=E5cx@$P*f4EvZM#ZjMZcu}%tynW+j(4!4Bum~a`l=uq_fA?;crUX4a?4rSy zGC@klN>RE^*J!#OqbB{{WW@8-aK_rGDc#H=zMCqIK=~0UiWkYoX%4N|b(%xtvC|wj z-!f}_%TCcl)`&sOqfXI{vk;~mCqQhz=`~!K1*}4j%D_R0WgtHg2ZZR`x17Djp0ISu z+s@&a+R7kyjIGZsGCT%C0}~M62t`q<|^zYlYQ)aYUQ+y`tB?YKioXl^%qzu*Q ziZsrNtz5(;I8Jb#IF~wHbF7{l{N}EDCc4IRAVfeYaS#{|F5;64S{;NKq%@E+K}yC? zQDi8IB13J*R2g(=;MKB--;sDTlwzXXlT)Ab72lI+Ly0Fq9s{94E->ZJQ?8{#0U*VI z6oz7BI|BRoJDfp7y6;r;g08|i6?5mS|h zAPb~gkjlM@IFN>bGzX+nAWg$$k<-C2ak+n-*jbFaafAH?f({5V5DsA1J598ZfOzE% z8R_Scia@FZsT8DYpTUklSU0U9QS zAzl=P+!d-;oUWOe#wv`VZ}n}w$cOr^GIt^*bLRjZ#_<&6%7-l)!??)js>dq%bsCfc zH#D|koW_b1AiuZe4V%?P^9jL&5V)}zabe=hk3dn>pIaA;)cUhsEYdiBSS&K#GF!19 zl{`L@dwcsNBilk1ncC6<0}w7t%RW2No~O)2im*Jp{%rc}#1C!)c_J*00E3fza6#k5 z4-rl%0HhdEZp9@Em!8`WNoT%w9g@y`n})%5NIqMGAo5cif}n?|u9=xOJUIEuSd`v{ z=jF9y?(+NYEZcfK(0A0L&5{;={INmgP%USr4qsE_0?FT-XCd z?ge|Iwue`Hx~mMr_V1!#8v?Ypt&{ z24|0TTGv9W&Z#=#LMJeF`X$-wtY49h&cj@@S&&Ny+(}QIziZ;Xd3!|umT$1Prq4n8Tgl&=F=uZ+I*Qzi|HyS6MQ(ULBI2W?$R9r> zeFm<-6Y*@M!K6su}1Z>*pvftB_~LJl1x-A@dZ}nP%Y_d z-6Kn^dVh@*iIBP&u*5vX10YY$L)8*TkK_qU7GVj`v;^dksSnE>0)95pOOZJ&H9Uz! z)}DCVMM?uH6QpF6iPG(lZNAZMtH&j$h95fj!E(kuAP;~%C0;d&yY}TJqZSM>MkdI&7#hEyO@4Xft(g;ZXHjM31T*fvNyE$`lV8js6H5^c zK)A>oz%Y9fliF*99r605_4i1&Vt>h3?xc;Ad|iwVJd#g}o|SL@R*$0qbwYCELwuS# zcXAcGUNSRsHe*HL_MT&1V-5s&!Xv*^c?g682$`_A1kukSSb^{Z5duUK5OF|c5)Ggw z1#y-X5LYS&sorM@7IjM$WzZ~;#(^{uq@f_q1p)1-64~de?B`Xk)aUn!BX&nX0E7w% zDG+*$1S;^@NIUWr>NA)?D)1%@s22VAAHVxAo$48V){H^(-!H_Qtbl%BjvvfmYj2%t zt)&PK8Ux>-v7C3}kcVx|D!9oH+`$dQ3pB1k9oH9-9)a`=q<0{F1RZ87mzyrV(Rn{+ zyP){iyFC>4lF+4$76tY4&e>#v0e50SE2w9P->J77VlNbHbYEzQ-FMg%Te#JT(4BXq zC3YXNQ85r+>;c|tPjsT6Y)#)(C{g-{nYgM=@am!Uu#Ihy=@Pbh#nN5g8FWfhIrDx>tQ(p%tWV zkQRWn1Ee*PQR2KmQ=VQ#RP@c$u&%cf)!FSRajI6QoFMs4c~HLB*AAP<0=~XX6O(5^ z2>cxb_T7RG^H*6Szjk0AX2k=;L3p@Qv^ozQ4HaAg&8*rB(rS>lgHGz#&N=Iwn?kDtJ;!WB z-w@t3Io@K(^vr=K%JmiUSHf(L|8wAF^H+myUS1*?1oZ7B$|g+7%du1ncba$3 zH4)F(g(Jmz_|Z$ETwcwNBJ(Q#BP;Bu$&}qM_Uz;uMa)f}XA`&OsXKYwr3VcVLSWrx z!#V;!Ak6-bB?Y;6EE1f^AR-h%d;HYo6=FbY1*sdP1zsTvq%{~RDn>5%lhu5&ieWjV zHb!c|QyECN@`4ZuH4qjcd_b7Jv$xL^h!*7JTO|(G<3dA#Q9U6>Ly!YfH%JRW+5yrU zj1*;|l9hMx<1~f@ud_0fHCq8WWM{Y$0YnbA0#SCIttEkF&=3*kfHVrEX_zc(;>zNV zIHCPIi_NU7jkdz4t!3SXwju{D*V!5`Is|DXl0e#_kx0=kHZA@Q4?v|1h@oF`whbO{;0=soKx2z4W|w6Nq3S(!EnQ zSMoQ?fOQ8)>Cp|u03cQXF$IV{K#T%n84&Zl-KuYXsVLDD6RAcrMH?9O(~sZ%uU&HO_!^yT$w|!EHJ|g~#wyRWUGMDZ zLRLt~7PG$*4MaW=CBRzNEJ5f5q8NyF$^{TxUlMQM(-X`vgJK6r&q7%AX6YqY`U=ux zkbZ;o-Ye_@83~Z_Ab*QIb+ikZ8%ug_j{O_A2g?wz%V3dVLKqN<{x0*z+joWgFQ5y1 zUJ?|8$?ZzxE^FSF&D903J@-w1|o#cHGbT2mmjBe+~+COKpc=b+HgmEuiW8| zVzS3_w|p#by;fqj3a!6+41@-`z?7R`c6Cn_t4PIw6oz z&gqI?M4G`Yx$j5onak%Us1XHc8bix(7=UnLCor@#;h@p(C}~WbsI!CIm0}jtqjG)- z+TZ6``m7yMjoeqbC)0h`3(aQF7r@KJo#bf zwhvCK=SR>v;>$fC54_*((jl=q4n$s%6C^)bLKMN8yY#GeqAojY>~zK1{Bx4~QP`4i zNeaJ)8uG2=+a!0Fj+VUc($SE+OUL}rAYZt9MkTjkcM}s`tvri`K~79uxO+y72prKn z)ZUHu9C%`=y&3JH`iKP|vslRuBy!vXcEh^FJO@{K8sA}MHJ=R+c}^zE)nU_AQyN}F3%K(c#-GnVxT{p1L@Bgo@#(F0O10{3golh z`w>fyw&(ZhIjHK&_!+py-C`C~c zu`a%U7jX)dHP&{Zf=MH6m6%5Zv48>4mea|TsGk4x->d|ORMH@QzH$^H` zkp&Gl3_3M)=M7-iQv8@ZWHU(U{m-T}G%x|fxY%M`{ak4UNHIQx#0&$9nan<|Lr;>rXm8D*lZ!cmsVJf_OzgyxKRlT0!3u77ajnffaA17yjo)b~^q z^CfSr2S-~-;pH}`P&~LIkxN|So{p78ZBEF6CiL_9W}c7lJvq54Kl(*k(*4D9StLL> zCX=Uirht_T^ae53cqx8R3(6D?QUORcs1`-%gBE!~PsP6$&i}mC2I%1iA_7=@VgAK$ zBmxl&L^cowK(t^v5PNR390qL#X)#EN&_j=n@|#EQAyxXc88=ZwL!Uhv;zW&z$+L&XwFpTmm5R^5Ezq0s^N<=O+ z$OVS=BXW7BFvN?B_{}cbDt&`BdsDU;F;_u@cwmZ;c`^?hlK`krVB`fzv>rq_h~wtz zsI0qP%M<0@gJ7HTzTtB7M4{h2!ALE}uy zs4J$IQi{cTg+x~j)sN0_w;!NFcN&_^s}U194NWg5xc0R7%c^nSSUko0O~1$XnQvn< z!-G!20E7#xfZ^Km!$%hz%-ptX7H#}k6Vfau(d1>U!CJZo3kD!u2mvDGhuM-%1EQyQ z`PIxC2PSe4Iv&Uqvm$clgTxj?5I)HXlAq)jMa}-%{e^1HZf{B5TWI!KJAJQyc3Yv( zvB}kJ#W8L=;nrER=y-@vmPj8HIZiNyO5@6uNaGF{P5?t^Zw*0j{lGzNE*-$=Fv4vBXQ-*w;0U|!T8YL_3tt`@3>Nc)y?@1bJ;bl zd(p{PckXU9(y->}`E2L>;!V4DkTSQy?V5 z(v0yp96;EB@M3KC{37ArSb#8A;UHCjR3t(jNTncEdj&iGh+-a^oN1Opd9hvawg%sE8c9ter$@*>L0mTn*8R{ zNf6M42gX|fl$AO6H&Z{y&w8Lb=ztId;Q)5s2dGBE8PCEH1VExX4M7A*)gTSPYZ0~9 z50NtGV`?;+)&j4@L+%%*bUbm&XCsSK4rZmdFSHBmSgB`3aKA|lsYt3B)NZn+Q`lwnVVAC#{JmDQ^Gd;*wR>zv}I8~41< zXj;LAYSrMUC>sxt?f9Z?0KeJ00nkIe8CwtAMtsbEaVDh3$NDh^pUKTEpk8(|UEv~9 zz^nwAf|xI))@yyN^DKKlMvues6h_@qOmU~}a;WZf-3~{_+V}AISW3X-B$gZYOMvyq zW7!PSngbfl2NFssJxpB070_G-G|URqE>Ou%{yfc21M<-VrP(PzPcLXenUc-Bppu=O zCR|=AZD3PdCPQhYtF4TawXKXJ&#cEEk7pozQ#EF%u9YDb@BPz69n+n)Z`R7a#O}v- z&;s+d+Cb{W5K#@dEpyx(O3>2~M8Hcc;~M7;xC%-(e$2(Zz3iSI`(ELxnLgJ=9;c@- z&PSdhQ1tr8@BTNl6x;qS?kCTyJx7^v5HvmR+3h>70!1*Hpk)qJeydq`A_#~yAR>Xt z1tJ`X1|VvH=mOT0r=>)-u#7SoIV`~)AeNsLg6fW5VGc-7K>7pHE0Df{^bn+1%Ict8>QS z#bY4iPdwHSRfrG(QXNR8AXR$>d*slsu|=X{q$@4Z(_%Vil_}O6!#U1S=j<`A>ckLH z3_^8=EWSO_Q4w9ew}hz}gjqB_f!jFo5MlgAA`r1aWCKwEL<<20V$V$htqvH_uD$D$ zZnT;Q^Z}$NApHU96-eK3T-0U^8jxBvP_Ql}0bKCnM{T7ZRUFqO1ZLrf`BhY_@8>gB zXlvA!m1o}&L!kmyA8O6=`fSH%>g%%`pE-JcIzIFGR9>G?WgbK?jAntyvhu>jhlX(F zwZGgZKMX*)&{%HGtFu zQkz%sSyn)upOMM?+2zygrol zP;DS};J%~4TmPgLvY<5R4M0BVSm@mf^9UM*~zomHogkO83u!r<>-SME_Z zE2?$y3076Z3sM_Mofsl2b*^Mw#hAcACQrvlEx{gm2?Y@GW1%=}kJiDCS)xOH_KRF~ zf59qaSkD>ITDY(Wc-bDa!>T)Nz}Tr1Lqw(WCq68RL+*IC$mq0oST^Ch)q-fn!WRo( zseD59muISlTlE`<-521l9H3*?MGz2aX5Hb+u%CbW@zEWO`vL;`5(8SWv=F47#7@*C zBAps2y)JlJ)7XH43nPKZy^yJjkruPX$%Z8LEwPG5&?PIJD-Gpkoo+r(>U@jMTq2>q z%{J?QJ+lJvnxt~B_TrmwVAvu$#s~pGqyP~GL>{oNjErQ<8H%XPPu=pa?kAfLV4PJS z&?cJJg;(q72}B21+6&TZkhX*L0Ov$q1#z~5&I-bms|`wRrji9_G|pDj#d1^c&^kO@ zTi0^ASyNr8YM_2Fs83}F9}@&pAoL_K5M?Ks$}l~`qala}sQ{!JA|k5UI#iF<38T8T zV{gp>MDA@Cz<>c!L4az~_{B0_z|2TbqaRWii&->N;YT$v^2qUrltF8@|EZ;o6B$rF zlrXJH=4U8}LeW(6-XBzEdZMiK zak9zRHs|+mVxyUofvqQaWJJqq95XYN#19zp%iYE{vC$dOpeoI0$OI`FWui=_^=ujI z0I3V5N`h)LiR1 z2!OSoi^?YoG+YQIl6|wR+Y|~?G)M&?)etRFX0!D@OA9kkpK3NZJO@GqgpxEV6AzAc z>b%m_2{}l~W;0NJRIWXrx*gbd2flhn_3ZFb>3Ws52UV~CRRYw!;94`Ue{HS*6|b#Z z-a=XDmUnBG#2a)IE{Yf70ul?7=mra5;0sd8jVCH1A*QqB;1)3Ilbg;^%o!qZdNAa^H00ZayT&d{7|ez)8uh?T z#G9?N)M*DuYe-U2XXN(la81=3Y3;Pw+WiPM5EkH>I%?2JYo#4xvB4xmH4!VoVi;$5Sy(Y&Z8ftUyx`XfAHneU}vU z&OnVapa3vl618tP5EEY!$T0>80%-y0 z^bK8eI7XJ9!qZ%KYN0`b-qKpzrdQY#X##^83siGBs>gHqsc!GU0E8>DS*$)h&SrxV ziJLGRk<8(unk!sNi`b!Dmz89G-dRaPX&5jxzTSXQFG7jeDyRYX_uK2W zNx6TE&N^ZADxD@d45${>fUA16IvembbZ5C}2Q6-}z?4@fhKNeL-{1^>WM{z`vm~>` zz~@Lm3l673M#OxeYEbhjT?=e6YpjO2$}VEYw+HE!-y!6w7h8vsd~sQ7L~Z`L)k5vz zovib>*rRGvsy3cTw%l-Y;BDK+#@|p{PPXOS=Ufa-FD0W)bSRX$vHJyOhGG&MxC1Xc zXbiSchO%Ah9Hq>%7OC|AomPYCo4F4%;L*Az{Dk+6YBQZ0R1GgkZ6I}Gh^WhgJ|ekM zLsB)JTy4=9Gv&4da?UKDX$Pn&C#9Dxqh+4_>sBHGITwq|4YnHIL#gSiKIg8Vc2>1f zwPM*0%-px?gBQ7Dg(t!UDVzEx^fjjPV2DNDl1hs+yFug9N5feBzOD1 z_zEisXd#&s|)tWU& z!Ja&4#Xi;_mfto+WXDXJ`K3%_LP80I99ZY=_=N#C5D`G+P-=i! zK*A3i8K0yG(@3O&Gy$X`Ak6`36iCx3L!vH{Ve3iK%XO*Hi;c9Z!q(hEW#bl; zZB5nfZF#7r+>eDV2;4$tvuk$^cG9@~-Oj-c599kgw-4Us_Q9K7yQgwx?DkYXVr=$Q z-aN0|vY?qd5PK@eih8$biBo+z_A}a6HYZ>J!ew(}l^eKt9_WCOn1rCN(wW@~F;~E) z5PF7U6)Qh-ChGtl)I2qL%3Rgwta*=)BXuIGVzOH0R~dF4lW64%4RV3xD$h5K0(2zT z+ErnQ7iHf}i1+=_4^QzdEH3i-P3sLUz$>&sf)X3qqRif@tehd+OO8=}XswOye4{m| z!CvsQSOCI+c(q_j-mJ&DW^<5O>1sc}UV5P3kxQh^L{VkGc-Bca4b+Xp~vSD+4PDM)*Lh8B>vgB-Xu z7lLBjBf_DhUwMnO!Uj8T@y)LjSb^{Z5u${;ksiO1iB~{WUm1ERH3+0xAdLfQB1l6) znhR=H2bCIUTc**q*}}5&T)xO{>p`Q4&2zrBVs0828VR%^C(4%A*U6RxNJ_U>?EJOS z?M<0(zG z>IMs(m`Adl5_Uy|n2(1RV8FvPlumj33<^m8`3W%Fi4c8_TTolE5 zyU01~vu*6MRKA=vg9kvKVhm6b5GxnNm7E~?5hx0KLty0Naf!(7^<|C8MLc37gMtp? zqZYj&-dd54k8@_Hcwc*H$=9CNQ#TsiQTgW6fe*bAC!+c}`Lv71&~`}!A?mc*Hg;|+ zwVZM1QA8;lA*J@irL4%Hk5MrYPACVYG>|euN;X|UQM;wG>{z`@Tls!OXMO=*r_(pb z76w#{8r6C7*;T4-GB4vKGav%5Q*9UA7KTs_pZoal+P!`KEa>+3-B~DOYe)C?-Q`J& zOap8_J%XO=Za2n;hl0GcslUuQ#=B*^jYVbbwy`*3bQ_Cho~*)byaA2f2hS0sUp;I; zYvlrCe1jZQU|89|pCCeIol!c;EjDnOqOrSw2#LdChJ@r^{v$%79_Ae%F>crF>P@#^ z_aN4#x;wX0{l{$gbR1*(2Vxu@QO5YG#Q5nr#xf4XI2bkmDYpvQ&lj;>_TD6qeNA)2 zIYPB?E6!+H&GvIc6|Z0z@Ea~d1&mkp^W&6$DRvz(BG0j0K5{hoxx+&s6u{aGW&wf$ z2p5uo=4BYHL_u6B6{KvC8bIm+sSTt~va~2ZAD*|XKNe5Bzr6rWvPmlU9EVA|^iW#~kg(LA2vnyTY$1OaU1fSE|&n zR@q`s@J{AYgGT`uQ8Oa3$DKfA%@&u{z?hx})cEMX~tqu_*xJ5)_Te)A9rg}-k(KLvWk z0g*|7fu<(ns9r=|sTibsuWmX$1qRIpX*5Y8ieUZhuA8m*b;r%ddpFzs`CWSd?!^0d z;r%;3ey8_P`1^10{#|H7_CHa(rFTchb@~Pz0i0v!So~yBydgHXvH7d{tD}d}zz8FfjJQH& zyk8k(7~)PeFkZ#kck@?vMz=a^M|7jpe&JWKLSz2==lE1-Xw=sOmkNJvGV%n-V<0rZ ze)oy(m2Tjc-$)?i0!bdlnsGr~slzlw3P^pRLtlywnB`%lmMg6xkBWRV&tJzsbnq+e zd(Cg|okA?&J|g4^3*t(CZZ-(An6y;{hQMYGAe&n4`mQ z#A+Y3Mn=$h#o(6V1b%IC-bD@6L@SoknP?1n>!Cas|jnB<#j#$Z2rdV>fZTp z;(RlA+`o&ht7T+F3FG*sV{h*G%}pRrgr#v~^5w=T@@P5;V-)~Wj0h5fCkneJ(>9Y^ zoGc?fY=EG5H3T!^5D83 z=9BH`Xe{$1=rWtSqcsnJJcSyFl5fDo30)}0C`$LqVUES1$xPqLUO140Nsxo&8L(q`2 zRNUL{3}v~im|A+u%y}$Nx19vEd8}lViEJmx;qS;o1Fj8d!!GF22}IzPI-yhzszp(O zPG1xJn&-_|uc<&^n`@@#tH@HX%~G$EynT~P-o42WJ-9x&N6+;d2OOJgdANL7W7fku^vrD>RlfKQPrL~{ICP%B zAfLzgtcQv=^tP0K;jep(dj{q_&UE+%J-_%W|K**ZqVt6_;OTmdY_#w=3T}~f+&71o zA%d*jPPa}WihMELgS54MoyH= z1Le-6{~~*NAr85*MVp)mlplejc+o64?<3dtM`2pDVl}!R2a>gzX)(BL2Gt@bCCKO#swza@qTK2WHXyuBwRnReR+*{>X#i%4oW0bURVG*7ZkWYwIo6`S zC0fNui`Wiu=LZBIS5RKpMkQZF})~N@oTA~yRQZxt{s`~?A zWm8_n@hfWKtn*ZMw977j=CWvc!q1VNZ}qG!i-y#7#3$m-d^`d27zhpGftn3ZiZ`(o z08$J{VTc#yJIec6$Xn}A#ap~{Kl2OX;}r;HRw9V6C2LH+x*!Ty+Hy4PMC3on@kPn_ zB04B5jj;2|vTQ_~BhqxtrJ~H#Uo)B)%5oC99NZ%7V>cH~%D1sg-_94svwjxU!=*0k zuWHEoR2;Pg`}=L67uaLQIy8Qw?Y;0!>$WBOiMF@LbT_TgPc%RmpE4hQ+Ac~y{1maY zHfCdfAWwii_D*~Z0ns?;ab)wliNE<H#*PGYh~%2aQa8Yf7AbyG^K4>*9Z0pSHA09f~uI;|Wn@i}0x$~4m0s$V0!Z7Z#F zw8&>D0BIda8$ntM(q7O>Z5j;$6y>LsV(*u+90IjXEKl9aiZ+Xz4#9=VK(t&i+18_a zKxzZ2lPHV$WceQcy&p+UZjJtwrn3T#eG3gaT-X52mpDJ}pVxf5m3pFesF1@15fDls zBj6A9PmBZm}MErWFI%^C&JGeMSusT|g89(F#O05dA=m0Ah*$$H1+o{yqK^ z2HZCr0}Tq$@aexdu?%D^Kt=>)TtG$#WQ;&Y%4!GXPU^j2{{3MzMC{k6lF<-7n$8>yBoo&q5O)?rlZcsPKt0hvll zY07D(NXQSU`ekW;Rs~2!Ak~3X>N8}3Gyt+V9ze69{8%r_CWF7qGW;__5e*p-+E9~kSQ9$uE30Kt89LPfQcsu_ z?^AVRh$ufo(~!&tqt2b!;fEXYL+%Y07z4~H-@mEatZ+*RVl_w1zrV?OXXBtcX5+|M zmsnj=Z62BreCeI_+N^ZCTq=u&s6Zt)BsWsNNpf>Vu*+$LtB(d&i%HiXBci{lJgCR#v-PVv8haQZco)1LiwBPmyL&_jdM&xVhg3P4(T0Z8k z4@t2EJK-g*fdu@f6sq<_>cvMhUE$>|iCO1!OEkt~_Wzhp{ZverSAS(`8uL+o(1b5p zB@V~doTxCwiw@$mIyf)>a;S=Us{_QBK5DFAX6YW!EtVOm%sI6-z?Ur6V==Oo>! zuV7F$D0{Y4T{@`8TuaTTFX-X;6`ht(C8JD~%63fej_I@Wg%b~fxU<+<(eVh#b70*+ zDKbIKnuRjQFLzdLT==1&G>|euN=BI|Td_WV^6L|cm-N|GfEWk|5H|1hzKPFT;P;E_ zKq>{P8l(Z3B`Pskexi#M>3y5jx+`0TYcWJXC`n`>lAzD(F(&15VHXb2NGlVhWR!`r z-LPBMvy6tc8F2`JPyxHCLg>s-(i5E#cX-r!?)V}Z8R0|dxMCfI24z45jwy>G0|}lf zGdls>DO3(ecT=biL(xv5TEsceb2gix`z6hZnIEMWOW%2Dz%VK&V|1HV zn6^p-DHEh*Z3AU(;p40=&g-(afby~yYYSy&Gk2d$192+Kkh!+@$7Pct8eh>P15LI( zo~@%xw;K|#Y1rG0Twj-`rEe@GX6m7Fs2l7tTc7T|Tk?qcy|nOJqcmq=zL+raZx5<=1_%iQmBBC0-+~O zfM|g}3v)E}xUgDPsD{7o&f7n&aPyD5)n{- z^7{hBl>$JD0VxdeqIgZG_{egXB z#m7t{c({@iBtHU08Jy@Qg>$})A?rF7$~$EM$+rewh{}!beJCR(K+1(oWpspt905SQ z2zv?OeLIQIb$9ptbrboPPG^fx$a_8}@14ze|E4fXSjX-v<2~bdQqGSU?`6D?I$(K! z&j$K*hlEctCc1QFgZn@p3d@o#e?tp|0SFgf0(A(6$O89{WhfP-Y*DvSzpo3mfz+w% zpr`{nLo#dJYzg+v;)4o^_!rp&ALf{YL{SinStcqXEr?fzr|G4+B`|f(RCLH!)qYaM zyW$r8CQoT__r7en-|OeN$+}3kXoDl$!VRq7K3r+1g#{E7&>9EI$HL#>f%WacN5tRd zhgCD3AV(h3L17_4xMy_3{oKUl#w!rZ%PVl(t%^Y%^T@U7>V z!Vxiqnk!`{$y>suf_zbL+m$T7sI{_N$#N**VWlfsws*zKJA}MTI~ptRxU;>}N}lIa zAe3R{yENf0t-K2>@4`x`xl(45yh|(J6)WE!)fHO#mgdCUesdzMe5;jjiHE>hI!gQn>ec!}kDg(8p!gAUWdV=4>ExTzx`-N98+%q;6%U3`0*~EcRceK;gKH^%$0WHfT%0(e#aWs@#1BjKP!Xy z*==E?1}=;Qo-xuFzywwhaQLe^rtDb;I5N;?`}wNJiU3L=02w`>8;nn1nMc#yTd&&I3DaP^9+^1P?! zqsd>WDzEU-?DdEa5b$hOnV(FQfpE@u`wMcEDK)V*4n*gR@|7mTPWBRY`8>7|Ict^G z)~vittuN}NACFcqTYHSWbWH9EtRSE@MzbXdh9K!%_C*k%FywNLHEIo(Exu{rw-?oC zXKlrDOw|FPi4PpE^19@HoNy3~TdRyGx5aQ)Hiogde|q|CPg9<7Q zmkT#r#`2MW$tr1}1;QYGb1dowdkoABUhRPyq)rSGb@7S5gOEJhmeGdUXs3Y9&F9kT zI^0l>6heUZjC|PJh~)d;iSs|`*6e(}Va)&y0>@%tu~$qNa0bvXyxvqfE1w}&xG(_W zLK*O!GM=H!EC{qZRU1g17$WLgkYUIbb^fS17)4bK{3~_7u^Tm+XIN}{U0LVHRP{(U zUBx+8YAh|`Xag+P1spBk{O*PmAl4*J1<@5XL4Mb6_X75V?2Hi|gF6Txo&{fjp4r zfHVrEX<_pHABV!fn(X}0ykxJ|?aBcIW>C1SX?A|&U$9O?X7GZ57B6*b2Ph#?n}H)EA1OU>tF!FWrjNYx-`msq{r(UJz4-WNSzoW>MGnYWbt*f;sfu625D$n8kvLo znu|ouU71M82G;M=a3I$;j5O2EIuOpq3QLqabrh(N`T)`sNze(>E0DgK*+5MSENAX5 zG@i@a6v!5)DF7EK07ULs-swAFQJ_f~DFB}-04gmN+H@yIm=1MTcdzxB<4@5LVuD); z%%&k1ITha9gZ&0QnaGC<2q}<$23^V}eMrd8N=s>@g)2paRG>>Rn5{vjubk(((NnJ_ zc&gc)0VO(tNFt2qbVkhxCCXHggO~cbiG3vd33#ea4YL`1udvX zi9M2{MwzdM>y+7UF1x~ArOZ||%F5gWJu8!Pwl>!@7DOuO2ga;4O)PR zfHI~ngSY~kPk>Q}LxOl^X4dyUn?;;BGoSz(NTrOqRKP2gL81bXYEUi8*4vIHHS8Au9OKQ3UsM#6m9;5>k4I%r~srIJp<*dR+Ii1$}eNO%^ffRk8(#ps7LOm1!e@bfz*j1 zqMDuc8t*UU4MFBmXC%uP0cg41zw!w4#Yq>fUp7K zwP=)2huB(~9AzE?>Zd9|D)J^0Kq>{P8l(Z3C8}nz?147-Y2}e-SufF40Yaw{W#{2-t&In{ww3Q{#l12hX1GprF4X3>&B15#t?JA-hIUD`X; zlDXYFEk8ZcF~_$KM&?ezf6Yux9-7(nmrXXiE+xs*ZHvM*Fpv2AkIQR`Z^Gab9J)Mjl#$XHAZFM=?3e%2n}Bdrg7fJMI?iqO!=B z8^;^wmadzH4bD1G)e|LMg;q~fY5Y?Rmj2d(xg^?*mQB;`r5OZ)32Ezo7l3sPQ*YR zT&M%45Tse&4nl(e-?{hiuBt2c$Bqv1a^LiAMhHf)jYu0IH`}ep0vyZsY=HIR-+uh= zKhHN$8}`s#PX3I7wR?Vy*Tg0k;+J(KW;UpRkOH9x_BTKGCx zQAG_9U4#J`QGbekOE8BkjRI+!S11H&Cg`wFx(6v}xHr)X(h099+8}#XK)wk0H+zRS9yW30Ec{VIFz&Kzana zbYiu9XeX^i*#vT@F-&9ovB*8y%(Ds9ZIOn_wF&f`O`zkQ$`GiS_{58C+~zT(=e$^+ z(m4rS%%h9x{B$wIM&USCjZ0`Y_X4ANk8ZBC0HhtDX7X6R&7P-6Z?ibVId-PE9+~Fb z_%tNGf#J=!+3)RE@zzSe^Ve+^f2f&$=Oy{OTgCsL{pXwC*Q?DW+V-2@BkEZr_^Rg- zkmrV{G)SX_PO^ml9-DO`0k4z;QW{8^ASII?qHG@h?g_QaIG%Mrpf2Bc`dg37wG_et zgbROx$c4AB+MCK&b$14C)EF>xQ=J$hig0~-)9#S}g;2$^2m0q?Z+y?moX0ttaUO=} z2))U6)t9?t##o7P%IF8dos29LaNW?Cb}fJkyLA8uWiA2u@;0ii?Szh&*<_U?8{7CK zC|e;IB%Vf)vQ=)29%3LIK3xgnC15}UhCH(@h%1E~l&(j|uTIs0R0>kHB(NJdP~=q# zwI50ItpSQ<3(eh_OO(0KzJQlVqczGO-$6{Rt;FV%P3d1>3d~fiSPVN=k zeCCd+14@iNL_jEkkOScX!U%*reoNWgRrT1AXkj5sLl6d1IY<*g8UoTBkVeH-?7ymo znN2YH`Eiq75<^i*gWDFQF@pmL8xUU728ehh^rKabv>B)(km^7x1*saO0Yp+1nSIxO zeE7Tj@bDnUd31XF&9TeU_@LnEuJBXEA5D9Z(kD(jf(7!fdk(ChIhXWc=wy${g#Yx+p|jyi*-nMe#s#$E+=~H zAts^m`}yDhF@WddJVu{?932U*-j^xSRv7R`U9FIA(&-Q_d{6)(140WN zm~@Juh-SR}luC@0ErJ!K9+28V&Nd}}-K5jbkb8!@oOX`Qk`*R?uepWrtV*S@Fu<-Z`hw$KNc7K zc#2i{x9mo&1MCc}1HfSiGGjQcj5!TfE$nw3Nnz!SG9V9uPyp*Y$#)eDK)47t5H0SN z9Kn9UmdWpb{O*63KMi?xKkF`D9@ea}Ut#6$l_5qd5Ya&715pCJ&d>ijiDcY}-YXLc zD?vbCA%*~CAV7u#WKclH31qZD#tdZSKqe#zcuo3KE&VWm-qH^f(TK%@Wq)r|od>|K zuLijiM;b>*gq+-z-x2{r;P;E4UjO8QObd@zT>QkZxO|&)R zgwvEB8hXz~YEPb8cpljz*GeK{)*V0f11C;!Mw+3YI5Y<2H}`<`?B4h;js~X0B(%uv z)E&ud>rpXj$?lIMOKcnbf%U$w8cU*q;G1d}XSBtnn<$<$zmK`Z2Ik2C>lB;#md!JZ zd7vdAECE`h0d4<_B7}=JB<7e0jCjxp_vczfqt-|)9?bF!w%`bz{7`>yR}U)*p85`n z>Gl$LM%O_$89UXP zw6`e71oplGF5=4qc(WleV270w(7YkCZJ%aE8ecHUl+IngF2ukDCloOY2vX)f)040D zJq3ohZaCp@sDO}48T)zx)6dA@2;%Cn--K6+2C2X+7*H*;k&3#_c5jP)AmV0W9s{8P zLI{K!2n#U3MPTMP5^x@f7R6>ZGn=bJgcOkaKxzf48>9sw?Eq;FMv9_9+}o*Hs~~s5 zshygOdkaMDlw)Va{XR0$lA%H8Jf?|DkCs@J-2pY7r<%St*Fp#EPt24CUYr4H6!LTi z#FfH9s_+>CK&k^BCR$3V0eB&bOtk#WAavx=<>xTTu{v%7c>+8g{9f=lRDU*(3IHhv zq%g#b>`z@R>01CG2N?4G&0QdmfIJ661cU|$fk*=S{Vh^U*HfVr$^dejeMDY$;E!{ydGTdV2fEf^}+y?SYZ%TvAaMnTH!$fH4Q)hIlD-JCR1u5FA zZq(Lyh}!%FkTF!-G`>kU^zAU`Z5Ch;2H0gI>KT$Dzaa==$l+V$C5A+YB8~CP?->!A zv^R#tWMVQE5MJ^-5I=9S$7Ev&!DMq<7V!~9i)*#BaZ~Gc&&agJRR=j2&U#ox=Uue8 z9OT@^VzvdN7n^ANJ^F#iB?fX2$O9lxF&3z?Jg|g-xRMhjKbDBFeIv{f-U{o&R9V{S5q7*;d^L-zXt4FM1; zAf!O(Q3f1R7N4^4=nG6B6@XNOYEhKFsyc^o2D}?pjtT6m2V{jOhU7ZW6R*!2f<4#~ zZw1&fi;JwCs##+(KW~+(u*gpu1V!Gg8=G8Vk4b}B`MI;UqrKJwF;K+kjw2n5wZ$=J zPdHYwjzJF30XU{_%UZ*Oh`9xB9_MK+IHKj#GTVgfXkye8ULwp^jXVcJ1cVY7fkaT& za4~X%a=ZyONSPod>5+$Qd6paIwF@Z4a zsxfaYj8Fj~4V{(&xX$Q|!U&T(yLpP{dbMS`?4F}Uu}580VtQOBu~<3q6fMBevUC0z zq-JTL@sl5cqD&WmW!y$3A{QFdr9^B*F5(r2cu~BWtVQ}oAzn(+2e2h?ml`cv;X^f7 z+GrJ!(HQW0&)G|n{htEV0-fTs+=@!Px6u+fR3j1Z z7)`V#5X-BGN@SjVQ>1E(^PXi?cK2=C8p`3rt|j15_aa6Pt(Z2c^J%fQxv_ZiVKh84 zdAYZBfN^X4h67#HS;i362^Ttnq4TNjG;#>D>ohuuwbSV7A<0`4CGSi;kZa;owjdb< zd|<}>W)&YJPm$A~%=LA=F}IvD{?Gv-2EyT;GJnS1gpokh7qFS`Ag&Y+QUypwAk~3X z>N8|`6LvC#C|<2_Zb;AE>IrEPq1G(bLjr^j2r&>2AZ$Q*F$;+J6SG1!{5(?;NOd5U zf>aIC0P`rwRmqAeX4MY=7u$w~v%OXQ{_L2_U$GnqFx(z?U=+Y}BP?iQHNuS5P#D#B z%R4*-LIH%#J0t766qI?u8eOR%WrNfJ8eQ~N62Doa+qcBpW>>b;KJDP~&gsfqBt$n4 zDC~)av0R^bstbYNnV=F}970Mt%*DoO89jZl*>X`3xooY>5FKt5uuU2ggHZX+hWt?AU zfH10V@N%7YqYR5d7}@MavFGBRp)eKH4blRyx}|^`$;Gyb&$IoC*I8&2d;RQjP(b8f zXOE4M4Ga;V=dbbFVn;H+low9dS;X9+n3519Cr*9Ie#b9P)9UYw=F}H><2|mBWq#@o zQDQ95fe-T`HvdkmU0a-$&zNezw@Az>X7X+Y@Z073+W(%@w2#+F`i;#(1F&4wJLWP&4# zoCJrztwgWX1|{_91P-}0tP@Jrpjs5Q>X&B@*IMzBX&u^Eu6sNM*7LVap*p`PLQ~u8 z7?SO8Bt#Jdp-kZ*Rj9h_HMho9DM-~I4Zti>^rcm^4D{_*H65leu*Y{hX2ohFzQ<^Z z8VP=xvwAD7O8b_l&=3QlzQAJ!0CA-NkYaoWiGG42{9F2{S^vYxN2qWRd$F|+kdQ|sb` zWE(BwXvz8+64flqPRzCPhZi9~XiH449Hhf=ohmAMb(ArJ~6WI$+vFaUcM3k)U@2rWtlDO*Ee1*r$5Hc(UBM0wr0COf4wgk=z7 zk{-9w)L#IebwsfScT+C(X+bnT6o;0>LT?Q@?8oo0kJ=)`RMjO2Hz*$o#Vv*mMkKy3 z_73IOP92Bux)~39vrv3gIpbkJiMIjg@p23o7I9RR;VWyT%+x$Fi1m0cLl(z&K@+1^ zAk0tzNHHLV5hPJsb}#-# zIRe0hh70R}kvSDoCwD`2N~^b}_Aom@3uOK^kj)j51jHA3BWr-TQYuK`+nI$2rs(4vTY)R;9=91g3qZAXbLLRzpjP?(Rv{5s*yUmGsYo5`4 zX`*NqW%0Ffoi_CMhH;Kv8rG>Hhw+k42x-VkBj^@Gj+#VK&vk}epBz0)2u!bm^b&hW zsHV9@RY5`df4O_V9>ZCX`rrrV|#ZE?|Kc`JI10>J(X2G7%UdXz*mO9#6qc* zl#Gg37h4d&68jR3hp#rwe1iTbGUi0nNs5z+rk9xXsY{`)46$DiGE0X)_K&ri45TFo zDUc*Xk`_q@WVf2+1a~g9mKv_A8_)uv9YAYdG_bF}p->yxSN^UaG@88{fmb5% z>Kn_iA2WG-37W|dOVEzVU4r&{7rn#lgeSVu-n>Q=_G){{K_q98oDPp-2~rGhW}LPm z1E8w{KsA8MATLz)n^k`-*K8DE4LW4%si@hQ&PYdoZTbqK^UBqxxZMLjZ{U~^D?iKhkT+Y$DIu^c)HRq#;Jyw`tmQWQUgE>ktrGK0nOZgLqdW z+jiGpjq^wnAxViOIg&g`G9t;1M1?Zqj?@_1Gcb04ngTQkXco{oAO%1ofOG&!0aAmq z5Z#G-b}TT%ST~Msx)LIlg!;?sMrdhM)qn;xoy+QkVmc;CvktZ+Wz)b?8RW^FXdJiL z%4)XPsoR>s+lqs95Q5bC)+8vum`aSE49MC)o4Tn9`ev`uK)o7(*D^M@j5v=Z5wg>9 zlPGM)aGW1;n?h<$lN?YpAr{h4jg{u`g0<`%dJW-un-St(N7*u+{p3}qdp+b;rcb)Y zY`-3x`^0W6ylRLHNOEBgnJvE07}^~~eWR+S)@L2Bn~dh>$1fj${BnmL z-XadCY`tDLKO#AYBmt6CNRq~pJ1mkb9NhdEm1py#4w3~>DWGaV1Au05SBM_{b#vO6 zNqwL{izhX9YMb~#A3RTcH8T$MY?0CKZ4;Yo_?mRQp3?QyW{ML?&f*smwkA%$y!867 zR%eA!VLx^qjp!u}dXeY!a!zGLNGOHFpWF?g;tb_5ph=PP53R{| z40vtU&Rg^Pd+3kv&fD~=Uy%zyItb9yV;!u%E=c^Op+TtCaLeG9l}>5;pPZ zK%&Uw@isjYn->bhQHdO6hf+X3fUE$y0Wt*Si338%0Vhnd7djunz5`O^!oSO@M8gq86>u#oL`{3L>aGO?7SS(Xh|86I3RsM zC;Ww7K!*U`@)xE7T?BO0dJY^eF+WZSt#Rjdo9`JSNs1&r4j@rD=0FSx$wZR=rw|Wq znx@Z}@qld@bZ%)!F7jap@X@9<4LDpXL4?hTa+Eq&;YP_sfUH6F6?y+go0m$A*lr6` zAql|ID+U>b4?}**Gp=>ksyM;?%A9S#`szxZ3yzzgeAZ9m>_{C*niDWT3Wd_j^VdKt z-%*Kr5+S>T*AewtQ752gj0vR*veKyDAG9N%)}m^b)%;lnd#~M`x@5iFoPLe-j6At&@?J022lH(L>lac!+5@x- zXxm?C0^|Y629iRlF}%W92IK8AOo9^OyhO@l2`eP&(L}VmL^O7MEz)0V))?R}N9OQv zc6%;gzCm%f@J7u_VQ+&>ZX_x^(peYd@o5=Kn3A!HDQCw|_FPFB=CafQtN}6x0-p^=tXe@Vbf!14^~Hr{lO`-x)z#8W#s(*IYYE*%3m6 z1ppas5={AZX*lLb8EVzrJ+J0(sdx6A`?6`8bqX~|bRkiQ{4TZ3KEJ_^K0+0cFd%I} z@_;S?{R-7CM{<52PxTR1f2fZ-CtrOWbM9D<`{tH%v>x)_Dw2G9@kf-S6_GE)=m*kr zl%xm0tsKMEYs>Mxr{7$TSNM2MIhNa_<$AQgwae!;k~H+RNFv$mw&E^POb{)`PgyM)kxdrnO@^_vRPNz=HJ}G0=j3tDBR+ri^Or!bpT9 zCGM84S- zk_Udt#%=~E1}6Dv8d~Kk%O>B59*RtkCZe`QuhO#;Jr4O% zsG8~vJzPHS9Vp(SlL*&-aG-v5eW_Mpj}fD(0YEdD7Rr3*_H=5N-&+<)#EPHetZz(P zy4Yvqa-Kio*VYZl+7r0^+{6>i{PudU?&t@(sG7*C5Fw5hc#$ZMNn4;D*;F z`t=~K<+v`+?ksy!TB5MevNurt@M=&EpfVyPl)~}Pf!n|V1F$8jGG5t2USZ56!Z+N0;`i7zT5dgt97SW+DPLg%j-l~=p= z*D_s^Jw^Mb#yL&WqiIH>xIkjAf*;X#pv`lK8xSk22C}k}$ar9Z+|ft%tr-GRAxVlP zJvNbNY{mskCX#3X&`hZ#IrD>QZH?P)_lLut*&wT?25wt+YZ!3FD`2+OQ4%3Zi4({n zCv0GNb1EDpIlt75F(Dg49-(#{!Q)FuE|QDe@~&$#AQx7VIS}$WY(EAip;Y_tyS(O$ zQ2?xvaZhx(9XBBAEQRZz1666j0LDlv!)OGN8JE27MvRd}1At~QE#w$1JgdE9yJC&m zwtCUQA<1R+%EeF@+)W17GDhAfU1gidKn*`nWT2j35sE^@>h5HdwG$|{)56Gh=bCuf zACMkR)S@d)+Yx9W+h4-(ckXkIZ|7=gyX}1}>5wG$@2HGq<8Sg>Q)9YgjDdHj8Ui#2 zXw+Zm0Fb_IAsh;0)68<6`Y0=B6DAw$18I?DK#~hSNc4{JahhODRvC~N&>EmkhzN)H z1QDM{4_>7lM-y_83CE{1$3#ffzlo3e$PO)`OY80%XgSK7&hEaAmJd#$b(aqrs7)_C zxpVh|^A*_XZIU8M@84zm*&}54Nd5K%f1?eq$TM7>`qnxi2S6tNf{*7=3&_obFa+d@ z1A;3V<{uUekLU0B54xAzf}ygX4Vb%^+dTGi^J4)Y77i2UlTUnj=wbF@^WX)-Px?iq z>_54>lha7jAW4WMHIghy@*&BLL<1foA*EV+XF;YY0ki~Y56~*0Z9oQqJOJ6?lRyWA zntK;WSEpRMeb4{8NP6xrZ1Z@RDE57JrS!ckrOoJa$J2~;3y;%`ZsBo1izrS`4GtL7 z&SdJvPD{}6=1{))%a4d*HZsPIlSon^N#@_>Ml>&ZYX*67TtyMLSlh2w4yqf_0-zm# zVGYnGkrEte*d#?e*d?J!P9QmpF(i3SoW_QmF}v+lXv=X%BWKrf*MvN$SH2{XFK|?E z3vfxjSNeMEl|D*4)q6FgK9)fw`xq2l(r-!d5;|6pm#r9kX2cx_2&EEWcm5m;PcE7B zVk51NmlgW)rdupOx!|DJmv#WH$rYOr5gZGp*Et@!#KS7t-+A%^1MALe1q z*A+|oTt_snu$bdb-`G) zd!%$UVN#}%X509l%q0{0PhuoFkYw{nd>;mRIntK3=JXR4fTjTn5OAReoVUS78z7Cd z>zl^oIw7flpKFFR#==%3jr5lW0L@@p$R5mXYuY{EL)o^b)$6%!&Ez33-1+S5ik0A} z7p~i%%qKZ`mK@2Dq(zbeNiHN=k>p3B1c@djR}J#^3pe%w#jvg+UGOhMK%RhX0XYLQ z2jmav1)wj$n=afezQyEu!O~GYm`{A263O3_@`VeVZxSF$g(NAG^i*Larb+K|NP%BS zFAbIYi%ft9JV*wLPsr<~Sw8JlJ)gL870KU|GLSIfoJNucV@Onx#;1&e>QMlw22dI5 z1#ju+Oj7&CN2@NJ?qn9GeJzZ%nvSV)$<90rAPjRH_O5>a(o_Ga2p4xIY zM>h3M2RWJ_Rzf;mzu!8a_zVH5#jOYqS5!)(`LB{Tq_9ML&f=Q(@I; z_fKteUX^uCm;}hG7#SaPV4zvNu1G?bBL!HuNodR?X z&_Uq155Tux4cVeN5#Mf6>Lh%t7CHYuiPvf8d?6!RSN@2yw7S+$Z+NwEmb#S9r-`HL z)^BTgWtgAZA!MCprA@ca=4+Z9n;bR~m`|K=Kx(Zn=+w?6R_M;BcXM81+s7v5{4nkG zju3LNvb9$$rmn>ie&o*>1M?@!pn~g;Cfwm(@i{a%GvU^O7Jp z5)~f*DlwEH(TGGX65am2PYss*VWO44F^a@867xtn;7-2043oSnqNYh$ci;g?Ucdzp zLIuzrK&Lzh8$bsE-2`+N&}Dz&IH3DN&ifh)ei;zJumA?f(gFVR{@uTo+Ccd9`(HhN zaA?nN{j)`pU=l=!<-+Ip@BWwhl*@@Nd{~@K<&Q7Eu=0e9Ji{5&H&dGn(kaW5%^b*j zjguFN0wh`@O%9Sgj#7_D`+$1>#s>1_b1@tl`sj)p;DUq@5>`}DBz{OduD4iXt`{8C z7eJ2y{Q~sPUx)8iSf}(C&}%^70V4ny2f%0m#ss+V!5NhqH#0yMFopzLh%S3No!Upw zr_Rv1p~3Vhd^aoR;PEON?u>X!+Zgixl~0v$`f-X6V1NL_5wEwk^@OLBzci2KytZzyz>!V ztLw$LUd+3XRwtgx$to*wG$NRWxkLf!0+I%#4(I^z9bSP!3va+g+YOX5Ub8N_+3}g) zxInvQoENu#lL|>v|1L9(Mu?n9vU|M5rd;mS&b*S)>1rhb2FP$6jr`I&AP0ZJ1dtCP zD?o0ZgCQVKDyfiz$m#ltQ4xEZ?w*(NkaWlehl!*^k{C%2B-xPUMb=GGbqZBT^dV7- zL^JLnVbF8Owp|vIL_HuQKwg0C0679OjbE|OQ`Y>FJD>+RC&W}Iv10A+;)C>u+{$Lx zTdlgL*k+duNOD0LiQXRN(iFzz_hF52%zBWS4BCW<5K}jW$gMnN&@66dplRHG${Om6 z1Jia5eTe?e?rM7Bb%yI}=tE4WpbzJfme<$|3znXI4AX@g`d{C_`wx5vtJ(Qu~_Sx@4^ZqOcJD#mi#Jo7Mh{P-s+eio?VS$7S z5-bzXuHMt$)WMQ*F(uIf zj1gd@0ORE^=mW+MFoJ+_1dJwNOaUVc7+=6BdyrTIMjSBi)G#5N5I;`lN67rx+{|~& zaj#X!be<&0@AbVkzm1mRlMg>+Cksi!1vtJ76fuRJDYHS9DZeg#A}^+yrtL?zu`w1C z*D+an97X!1b~^hn@8A9V`P7dDoU5zu>Od-jK~f~?kz_*t^VL$e-?6gB{I#wTH5~+W z6Zq$@o>_t}J*X3f@gSWNjISUaOK@%p&g0q5l;<_;72_k@f%!C^I843XIpL8q1K^cT zIwXma@*TC+3I3fJZi_w-`4D0}l*u zA!0=Oj}Lv7&@zo)mHVb<^~*Y*{SL8fcPmzm?kj_NZ`r;{v;#t;Da*~EeqaEJ70WWF zY9tUBX023q19Adn2K0Jg>)nLADByV4X9j)n93}z%0rU#cH>!g0AKt(FALi4=jMou) z^VC}fJ6VoIgXXx2lSon^NrtSiOWHYh-+?vn$--8Sv{xQ$D}0QbQ4PaK^ME7(sQ?lJ zj<3bqnMx68t$;NN25?8n8=P>5;ZbZo$d>B)<*4hN>KAAR!B*mAdqR%XJ(Ti>C=1!ggIPTtY23K_nXzg;yFZM_@Hpr+Ahn?gNpUwk@fDj4sB-X&k1oPDW zAt!sjwE*Ao25QWc?n}AT$7d0`$ytFcF{v=qsSdfPMpd4;TZ$NC3vefB}aKZ8LdZHU!(+ zXZ3>jc)W7hY=s~jlDtS1Akl(E6|z>1Ai5gQ5EKag2 zqMr(bgrt_Up|#|sp##_eqy$I|kRBjOK&pU*{e>w&^1yK+lD~9^+92ekJheYfc=D4| zdF?Kw@1=f_T3Kd7O;aCHIf;iJtX%Lzl3JA=iUb&V@bDbU**i%wS*$kqr)-ZKUCR2x z*wGy-TXV>+W?j56fLy%fOywi1NZp*CJ@_FypSsN$lE3*{2a@y1x^UGZBe}ACBP8p! z^&J&R^xz~CvgpYh$NKdTi${ZiW&w=@QV<{lNC)VDCLxE&&55fGZn|$-%gx3ia%^ck zpEiGY1Ozqy4CkcGQ7Ql3CW`YODI;drF_IqpW{tYm{GDIw0n`Sl(}Sd>9E5xj*!+Fm zmR2~8B+a-L)vHD;sb0t@w$0yn2kf^+_OLSZn~YpZeR{P79&k9NfIN; zA&a$FGI^0GK%xa%_vOx>D+hs=E$WfjKw`+0rTk5aUF7$kKVN2SV*Xf1@n3fVofcpY z7y!U900sjvB!GeO7yJQ(1Q;s7fB}XLFnAvPgJ$9Le(X?Oz7N9PEK#EjqyD_Dge;X^ zSwN>Y)FRQ1!~ha2*8dp%SYM*Py*Z`^tid3Fj3{D~U-|>+6`*f%!A$pe@8A8qRy}od z3MbK-d*b#6e&6PQHhEre-F-In96LyiA?rf{ql|4N1dy;mLInvQB89|(Z;w>8<-6FI z0~tCGSF|BA41mD^3<+Rh0K)?qB*0Js1`IH4gjP7IQw;WZ`TYFbVrq-N>)a!IjicM+ z^(noPDr;@NwNBX$G#CVsdaNga{s4OAIqc!MkT*Ani>cvbl~JS0r0%y|Q0Zhg-Bu!0 zBhil>uSD4uejzCPncI(kd-c(AhV0fGWHe<^;g`MwdJK$J7=y{c_X`0N{{H^mf0R?{ zENb_@Umw?YTE^d2Z`z^r+B!2r;OwM4a5KE{Ktcw2`x?^L+V^j6-@0M9E?ye0kc82S zDUs1f;SIlxEntL!w=71rr{~VJEWSAu-kQ1A2XAV)d6_-rV~lU9@fN^t?c6Y$k*G&v z1BoFd);v-={5;#gYcnN;O!?rIfW+}{zY+`|58#}7Mq06r0AL&dqX8Hbz{q&;{7s)p zj2>VN3AAu>m9(yn{hH$B8FqaA_1mrzYx?f3HJ!ZMva~j@8w&<*$a)R=H&i`d#(TEs zFsDe6c>L`}V*PG#0zkgGev_T*ZK)yEg7lZs_T1q@ieEUzK}*4Nlm%dkPO}?zqT91y^Sn?~qG5xl;e#lk z$AEqVdJh~Qjay-i2VhhHV*}ju#)HFD-iuTVQWD11UpykG5QLmAibA;hwk4yUZ}xZ{ ze$$OfiH&z1o9pg6+yy!7O>@sqGwcZL6X0t)ODoEz@xGXxNV0pR-2Z0xmMaCkw$O`2 zIkNj$+%6D{2K4->#1da)QRgrTNEwj02Yolqf~ZSPz0h14|S+|P0=|fAs3RY@-JVd z$U^ft>O5YSS6W90C$Km^Sz3TdxLznghvTvZ&}<$`3QNPK9s?Pl^ZKaOc{?@XHeh& zw02+~2?r!ZOjDkW<=;jfa!42=p^1bm62eGWBcYCjKk-K5__xQ~2+wc@KzhL#GQhwA zh7T}^fT08oC}3Ctg9{j9z(50rJAOTw-OvLT0AMiy76xFE02T~j@o-5B|KIy}|7RAZ z9l5iheC*pMoAt=+?PmQOYhADH+6?q&phq98q zl*~OhmDczRbGlwXWLMri(7fi_v+?F@^+-4&A%=t<5{gK8avdVApy$UYQTJg>N?jJ- zFwVUG3bM6kExd-1Wv(lx`*DDS1{pBaj&gwGO~PrBupuNZHvax=mx#5Z&eL0h@Ipck z2}6e((X;%Mm4($~dzkKzwiMK#9 z!pI9FJB=JOSd~$VtaDTb4jV`e`FH0XBr7_`k@@KbXqe`Yx#aB7qWQm2cwRw9$G8zA zz(@hc3ovScu>*{t=Wq`&n*KVxy5yB$d;y~j7;C_Y1I8Wrqb^kn-99hh3$)O8lc!cu z$EO9a8M51#kQa#pBwCQDLcX=QT*0t?R1Y-NQ@>Zp-w!*-A4pyq zD`)i5V=EA|X-Kk#H&@Tum4dg7H)9iWN$Y9y>x_qb@%(i@jqN<9*5YYd2IO=TNsy#N zk{C%2B-xPUwLZoJRW#&k*;xF;4<~^%0cZ%&9H3D^(|`nsmXM2IbIDTsj=xXM@@GX6 z@~}dQznjjd{@S(13yGJpB3FAs#R+B0xxZeCgDh9l0i@wYS_dx81>}OWC)&sDSN8U6 zmd`bdLf_)i8j1KVzcK}6xrc@9Vw$Y24N`W7t&}Tt$K0;WC+O9ss|JYc&Clk zVC&637LRouu;qE`ylrPukRDl=kV%*9%J}3hiXx3eBy?gEo%vGDQ@m7zLJlJ3s&zmP zfJ^}Sco4OK+yoQ@^27llm;B`|xhs7zJD;v%ZHDojmbcgQ3O3r~&o}#*$tqXF#r-Rq zjHH%;3ll*m=`BCvg~R$0miaU`;h7q-Y3H3sNz{$yt>$d8k8FS8j=b66#E_03)(>?9 zTF~^^SM0L5*)oU+ZL8yaMW0N@LP=6(nI$leJk)7sB$P2BiGUfo(@*hz;ZF_IievLVTftaEeOe3}M*rm5eZ;BVBMvdjjm0c%K1 zBD;H8#3#Za5e)~XaX_MgbOA{NQU`PZ&<#LmJO>3p$NYtRo`VITtAGvzx((<&UK67oYL zNE;lj19I@-;a%aVq^R{AdI1>%^0Zd~ssr%}$KxZ-b|p;*EV#jMF>;)Dz>)h4k1cSN}f3I#dA3Kc7_V5y|zaY*8bB zax2SPMf)?fVXPPW!rZ$i%>o(+q~Jk_0MY>@C7=w-LT((BH?b%C?&PJljXpt^tS1bX z?XgGuCe;gU_PsaWL1*`3+vX@Ge1wrzXza$)OXvkg05VGMdvCvk>edyQPjmSE88=OC zkMfl6$c4^@WKN;=%j-Nv$86IG;ag}qE`!}eF6<~oNv#n|L*gc#b4+LX7I}q8N#GBqoq`BM3EPkvJi7dp_MwV{LdWgXf2{ zQ!)hP3CI>W#;M#8+K=i5pf7+P0r~~#9iWeZo&x#{=ru7EazM+TZ@jqIf7P`e6@98( z)_Jwm_jmQa`|h$M3SKcqe%q_A?A;n6(w*sHb2_h~<2$~3C3Qdt0Nns|2Ka8Tx?(>k z3V4~X^{VSwgly~n$X8v5V`E$Rk9pPgP;Um`+#HLFZ6q&GBLB!YH-}?mtN9Oob2EqG zyGI^Zw_f;bhsGv`^GFgQ>m&W_N*u3|(KMaen)VBSyWFpB7jN#P3LiBHXco{oAO+yk z3x7HOP(w3|J5L&@7Gf|i8vSU73dJZbPLcqlN{E`*nR77zT|kk2W`7S!~<%6TP0XsC#AxVHFl}AcB$C8qLKGNCc++b|FH6;tas1#5&paBnJ2G4{X zj-PB$+qV8K8`18*X2;D&5s0;BuLUBNv!-}WhEPuyj(=3$DZzU>)+Vhf*&98NfUsE0L=j!70>}lfKUth zDr;+gyUocWJd#96QX)x?B#-jdi)?(^Kzsmy@oXi zXco}8=THYoL>POT-=drw`e3|UgT^SgC(F_m8)E{7WPuyC35jXB#-(wVvejsMm?YC3 z=>SMWkF;(HxnD9)kLPNhY!+iP@ z{jC#P)9b$2Md8**XD|6=A)bVh+Y-O@SuV=aCt=wW@N&<6?h4!G;T2KeP_jQD6_TV# z(!&6WF>>XQJ=R9>BN(8RbE*b30B8o&LNu}u?G5|=9LQnA{s;Htec*oX!43N#wwb(r z(`WL-P2VxOH+>Jg=s~$JW_K3I&S$aldguP!ZjRGP(%=eGSIFa)a=5Yf4y(W8OY8&JDL z<8{J#$a%@Zv{`p*in;n?Y}2fEF;RJ?Nu4e8^Eys;Bs$`F4u0HY6P;Iw!m7>wQMU3( z1B0}`lp7$!IQQ%}oYIZzJo}CMQg;)v{`|%e<2UCpj&->e~-|T;?g(u<=I} zszW7?AvuBMEWDAJGI7+G*mB>T95g@ng{;6|t*~tZU-`X)gf+HB;wwMDu3++Yl@&NX z#DmE$6$5$l#T^Khr#5^PCkaWf|AidmLdv)S@N9hN=ZT8NO?N(@?|406$_Na6+{gH= z%31|;q0%Fz)QuY!keESY3(Clh;aSQgktWdls88IGW0iAAJ=PUKhdg-Uqg=5B=@5qY zcVONa1%12u6Gs<{3_r&F*YP)f)F^f^=sC{PRM(#3!^H|mnxR^7ga2q?h77sAepT;3 zGE#(=`e{3jjK1}{mAjw)u0Suej7r(3HDBNS@H zbIk`yzF%F;2s<3$TV;;mk!1w$y@wG4j2mF|0AolSCUo1ddhuqb*lxM6Z^Le_y{)(O z|M79_yh`7zZ@Y%wBbvE=*FWl7Hu80^e0u{JAfbVT3lc&epU20*=JDS4ze3!oMZ6bb zWkTA67%Qt5Q~~1#7(KukQs0EQ8S4j{g!XIy*eIW!o%&acsZrdH&4$JFO@_}!uvdqy zU45)#$}*o%A_Q&NUZcq)`MS34InL2H4|4Mrgreozwelnv-!EwA}Ps(BqNgC<}J%@y+O&n z*{|dSEhzvJkt7NMNdZ!WvQVpnl#Q&@J!7r)K%j!QRe{V%G$6mBDh!7g%F+WQ2}l)? zFmPp6h^OSGba>UBC5`!F??9y=^VG4-w6iCeN4o1S^B%)jZgZ>sn~F?#mRQio!|V7S zlrL~xh-nSf1Ikf|nfBtGLwIf9d(O!8upUtX|7$+_oWYIFHMSy_b_UAa_6yC;{Qrxi?g=G3RuP>WW0E zF2)<(Z>V19oI6{+at0<_HZ}~YGcf(}?bwxLb2crD&%I{qC-V9;FefAbb7f^MTcQ;} zdYQ-#kRc#XN=K-pCfm6ki(B{4n^dRf9-RzQcp3!j;29Q`m zVhV{pBu16x>#d%J1FZ!T$~UzZF@}H(`E&}v+z>XyL+64dKN2O#!+S3tj~8~3n7%0ty1GO+fV5ARBG6jd z%`Zvo4$yXo`D?ebhrlfjW=`E(dUeX&vaR2SNC ztF2FU)iLekY{^=1i43{obNy9$dCw9cF_Ij}x`y3~Sl+liZ8Tkc@Rj@k(kN>V&?um3 zKmtTrsFR0GKw@Hul2^!TXg0HZ_iwfRN;&}Pq^3}3&G_?yEnVI2Ha`k|(Gph4qwTVL ztPOA7Rkq!$+Hs(6tEqL-G>vH_`&hkJX5~WBqBZtN}?UY6%Ta)XeVWp8e zpaXzzc<`|0cr-t7;GpgSItla!K*pQ-V0C?btQ+-h zvEH|GPcNatx^Z(f3d-Zf*ubF5&C+JJ=JA5jI!#TetXljh_ z+F)ylZE|ynadCsO$sac&IAps$M;yhO(O1l~pUgK^JM8=6R4 zKKh#@H{(kRWOo&ZktG+JkdT|B$f^6o8?Ht{-GCMV?ZmHG`m9Z_S|Ge>W=j_W%p1M& z3j|F(RbTSg@_~nvORvg#6JJp)YZ7xb<61uQ#@J3J53_Ca5*uZVW#Bl;kfc?X2j{v< zRwVh6C_$nLdD!{_W4Sp5RN`x-fWBcE&^#asKq>-+Jcn*Ta)1;8i2|*CCy0sLPsFoe zwPwK#xD6}L!Uu_pF+K)aHPJMN!aa)>7kh_=gW*iQ$cJ*b*l+8PDLG zW$O{RpS)P|_}i-0s%}e^HA`#~%4Pf8f03R%GxEgu|Bh8OYNsCoT+U)9hKvqM{NR8b zn%Fz8tnW2|oJNucNkU{DcKNXb@*xi&JAi+V7UdJyRoL@`j7i#2vbKn%u~AsY1FjJw@=+P; zg%~!g-i5ui*0CK*){lWGVuO@gDqs6;uOc=qs6f_U!_c7-IkY=U^dPx5XoRbco6G?D z0mtRX22I8uJoGiD)CWLMfZhfv+4HRIdAQnFE;6eNWW3s4F!R9Ge$pXDHM1{TJ!EZO zJ)G3$OhH9_$OURRje0xaQW5j+Q>V#Wte>_uS|4a@Lbq+rD!YG{N^HB=Ql{Y8%+++! zt97m01d&VYvs^jcteV|px$4?HEkI5oIgca}l9c2{5>qtC4h(?tCNZEke~}zeGc`=W z)gR0eHuJOml*#p?1v7eUXq(G7kNm^ufN8~cRG4mjsXrWHFRgH-qvQh%t z0kj5alh6wp!PnE4T+h>+R!iPzXbmE7R*2Uo#u8mmWXuU9XM?fB1JY!DtGnLF%KWer zV%CXy#a!<`U&dO{&Sax8t2<^mN0*D;Nf`rI0EH?5j@w{F3rxzQ{)K1vsOhSA$T)d1 z+?+;|2K7j3FDEYs8VL0-hL*$*gH#54A)Z$*XRi&*bwhs)_{u&IxmrELVp~fhBq_0i z3@fwOuoAPV>fxZ;0CfUt#+VS-&T`#em+1It&HuyN#HGXV7~ZTY*R=~2*S}>Dc&{f* zZMnAol|AwE6(>n@T9WOu!&uOZmzVet@~_{g&@0kEz$n;e|5a zPU6Qy3>CvzDeVi^MoRv?&Ea|w)htZMwRXX9Tx-9@wRYZ^*BXBAqVZn0*Q8tX4{Orb z*8HgS_M+=;24Z{Pa64!1*d#|qncgk{?nc%_7UuPKh589M0(rfWlZ{(Ha^=?c(O76y#+^OWQ=W8mt3nh1Pe*}{| zr|YIXI2}vQaS|a(X_{HCRrewxBa+-mR3On~QRVU)v}X`)RW$`@5YQ~3aX<=yL;&dk zk^+!*1x_qyLC@s=emi?xYY04V_y1EeQF5|An&VL;k|(FBhhuc0K=#kur~9=d)1hkN zb;W5UX^0PUh=EszY5Uf2pAJ>>Iqvv|DvTFv-73>< z3`hx&-bLZ{$X0sM9FoK;3DicHKgWo4^ka*Zh9^FxddUhl)r>KrTwc6)+aGRPleV2N zk~+jBW%?3#vg=p`gf#ldXmCh^dUgKI4?uZ#!iNu6`-VFmdztAYkKw2J%)cAI0h_QO zH?n@rQKl&KNSXZe2)aE|Zq)KB@Jhj+XUhi3smEJAI3OW{gblL3ylq~{Az_Hexhg<6 zvg5V>_dV8scmnzg=rN$*fZltM7yw2BFdiNxDuA&8dcCnajhQK74H!SbC<4Y3Frxl~ zI)Kbqt7qHN{a6TA4*a?<=8m?=k?E1-B^pT7Ul)zIokay1G@beCvfx(Tkk(}XuzqI3 zfPELId^$5{$~yy&vAQw96SinXq85p6BnFUJL1GGtJtRhvSVm$VS+|t5w!j7nB_zC% zkn`{M+N-PT#&9$Uirxdp05B4O@c@hpU~B**1Q;j4XaU9yFmizL1B{{vAr2T(z_&<>zA09iMbh;Gz2u{0&yn4}$O z=nc%FlQ1y3oRX~8nA5gZuhj{t*?tZPuZyvKBzT=UOdmdCXl0F&x;C#c4FfD2e!nUR z5ur^aCt+?NVuA1_Rf*)}%q>JLlQsE*$m}6Hof45Usdobt%cQ1joE8{7~{kIDeNO^orN~voFq=Aq$UA!Mb@CB`N-ucMGT;!2TOnEyO zxqga1j*Jh@ob5KaTZ|yY)1Go0=!li`ND?7Qi6l9aJj$}F%D?NnA?JzE7U5dQlo>`W zJyZc21T+h19FPJa5#e;dwU}5!XY~5$+0Uhe*AYVpg&ah32FYn8X&{1BA*Z98o6tnaZH;DPZrwla_s8D+;g z2}v1RfaCxvdJdxg8Xgooac2SSZIWXJSnOG{;n>D@IcF62@p{tGoMBuL&&&2=FbBl` zJ}d}(R(FhtvvqoDdpIm8Ci`DfOF~r)F$+9!lLmf z(cwAkfHf;N36P{h4m@)`wHe09qfIga8UR{PU}F&*8Qbsg4_LQ0kOoOYe@8 z-ek3b>8uDd9waaxWoE;XJ?XiEk@)Fquc!xg(U;Dv6i_vw0YEcc$U@e=<4Uyw%Q;fl z{=lI5)TXV*=t8p?tGXKPoTCHgFb&sB?hczC^g70>2O@SfLm|Jwgj}7kvs@R7E+3y0$B}r@31dRYPH;&kU&E_PFG=|sLRUpW9 zo^jn0yE?pXnchY3bCqdHu6N!KBd?B#%}GNB3Q8#T=YjRLYzp7MWUW!F2Wu=zkaZod zG;_d1HvT3rM36}&w(DeigH>>nEWdJd@5Nk5VKDvVM!pi4-(oZ2p|Hpa8#+9@GS&AwY8;La&To0ZTA#6&%S+5mL|Y9>%ZaGU(x;x^&$pW*hi+$M61_1r(h zZSu3#b20h(!y>*r$zM{N{0s#SA~}QPG?FxsLSoT8k^=ap0zfr@%3vcToBIstxXV9>!k^D5{5ci=>{vKrc--K9T&)+yq+B5OU+1@W zSM5-=y;z=510dsm2u1ut+5sVL$&k^_0k*73((eb`sa@iDdF$f~?0k|xIc$|?J?VeC zI19t3KN#7v@||5{6tC-Wg18%~oQbT%BYk)TKM#xelvEPOK)gcFJ`m8-(-p4kM^?hS!=gEd7FMN>Ngu)OX#{?Pz zj&Bdg(%+0NE6tLUj7V}L zQGrAc5@kp)-p5qOuPOQx zW_)RX8|o(J7BCLPGVE&l)=(R?eax=iWLmE=9V>*2>3mwmkFyt5x@|$SmcoK;y#jC@ zgQ)9=RM|?W}i{28wSXQs!d_1$imfn}}F(tmHu?H{Lcs7eL&PT*pHOq_;5Q z4&*upn$}Dd#(LX|0k4Z(9fM+<^yGp8^6D5=2F8GV#sG*;!WhJB;^Psp8juE?`R(H| zuPt(wpbWf!KrU&w0P zj+ECpMv+)XVjg+x&dQfO#&Nv_^cB!!K)*c)SHKu}kVpW=128K7A|QYf0*n)2v;boU zylH>t|MLFbzdu(9=j-1;MJZ5T*VOo0`;6N^Sy@1df<3wHHoUWdYZOkaCAMO-qYjeO zNYZfGAyGj}KNciJZK&JtxN1XXTy{bZw)_}Qd$3hMhSM5s`J5}?a$r#DhZ;KR`CUKO z(9Xl4eeWvHy|4ZK%VIuh-#j}*(Yb+kKZ`}YW689yK>v)@V@hAzO#6HGz z!S36ni$@)Y>8gmy58+NU6GLu?7j{RxSnxc?$GQ)#U5ve@$qF!baU(Z5`oRpXxfd9PEdu0_wC=EiJ#U1-P{9G0CKA58-ifR+$d<#E%hDn6OtP*r>&*{Tg2s>|0Ke14M0nP_A<%mIQKcup^0De$aBt{Nve4FX~4Trc=u_*yH9%O44w);4`lpI z#?J#8Kb!G$$=IGwuJJrfDWAmCdF7z`CoHa`LZ76_r5z;8JC076y&B0y@Q`s`tK=}N zG?bPcq(G7kIXbI^qAUh4TD1b|2DAWZ2k6f#`MOGY6OHe&tsJFeeON7Qc*udIiAB=R zB54DWG=azqE$IklE6E!5Qbs=@FW}hW+|bxYA89=3k`{Sa05jZeU8kj3I8HJoX_2*$ z)LXJ5$&W-y{M{M;Q>3Mj9P!FNQWAP~=p%JiTAo8WAVr`*T<0Qj)ZTWd+~i2+26wKy zn|Yf%H{5*`cenz7h^iM|{-_sm2O6(Tns}(5+vQWpvGHswoGs_x4lZ2JF&-c7uF5AY zbEY=e<5+#kk3@-S$}FH20G-4KX?czDu}D!2AZ_rFUX0QLBnL>*gQy3j>n~K}ju0al zYws0TrPm$lkZ-&0yr?uJ5i|fA4L*Y-n5XtA-nD{<5&V;VQ0o<}DCO1e%a^}EZn5%% zo=EBLTn@(UR4jpapt{;(cxbe3aCP9QmZEOt()7eJFab&nLK*kgW{&s6UAyeO{DSV3O*?sYbY zb4U^(NrfaSlJr=~m&{4;@(uy@ssmICs9Kxk0yKkZA*RE&6EQpPV3)HR9bqVjnCA^DRpdJ<4CA<>{`9EM|^Qhna zVT{YO4|@(yAUTWoNQ{~|y^rRf1QOyLOoZsMwv*kCy;YfP*yh@&u4ZkK0!cDu-Q(Hg zD+57RWoHlKtn8LddmR*-<0ch=h=%2ZUO*B8Q~(Ki4&8v{gu@QQ##g$4q;W?eK7U%U zN<4;s#|Xxi9U`A9L5frnJSzWF6_&YRf(H(w1R$A;^rKSXwC+d*pMw2u{j4!z6>$(WrZ&?$-cFt#MY2p zDv2&rcfJfU2_-VghIK$mFo|vwC0|Zs68XcYR!qJ`OtM`zCgg$%GGp>(al+)Nq!p9C zl4#r)AEWtXJ5X*E^l}$7BBhmf@Xi?|r;((=GLkEql)gMD@Jj`NYP`xx;#F=+>&o8Q zjoNxT#o2H->Dxd!N8S*%eG|8G&%C?Ks`+fspQGU{FEC4}zLqQ@k|9ZpBmina zWRSzoMje?-ng??&j!I%y$9GE~yg=e9$KtuMl%H*hpUW-=P9c+5C66C}d~{Oc@gqzg zE$@#%B7TgiPFtl%n;24|1j*lIK#~h3$WSu5Zw&RLi@P49r*d`Geb8}MIp)D0C-*8T z+q1}rTqr?WmX9%W{P>O+UMR=*tZ_?iP8d6*L-NVfB;Hiz&rqC$0q^`ch2%VvME*r{5a6#M znZ%sQ;tZ10NYX$LiEZ-)y(j0hR3IVJ0V;!+ki24l%Qi20*7mi<%f4`B^y2m5A0Amy z6t7|PN6^YTZv;7k<-k_80}h9w{aiErVD;~*Qs*;3|I4d_Cl%) zh_ef^fJkYO;=`V14SKOuSUvDk8*u!ZZ~gprwn2_J+9d0JRI9LTpBcYKvk)`w?ey)L z_Ew(mOgp9bQfr&{U;KnR$B>*rauzp`P&IM55j#qmlY{0byh1RUby`nHP@NXk6;+SX z#k8Kgk?~KDWVF?PJWXL`w3mNypX~A&Xf&uuY0zfr@%B=oCMrgS?aV`nq@J8q29vMwN)6t%7qQif5 z3xsZjqFL{57f7m5Vl^TIl3Z{`Mirl(252BS#)YM-_R2Fa({?=TW{Ry?ZcV<;_-~DQ zCq2LG2)>;MM~>U}{(zm?eYAV=!Fzs6zr1yAZ^>DlKt|x%>({`?I}+yPp!tco;8^c* z#{Ld$96gODZRT7uhg4Kv$M9k!1v0-GT6eZKV&uXYGK|Hh2X9&7y5I2Fa4BhEH_+O7SB0G(}^EoY7)0odRryEiSNp$1}>IX}9g> zJGAY`a2Q}p){5VFJJB{%S4^}_zG`hgGLGNr^Eb1N78x84Qp!Ux$|A7@(My_WtE5?@-q3cpv!jm?9=& z@>3Bcn|r7Bxb{IYQle{vMlR{j^X4LUM6RW&@%nB}OYLzZY zt+z`2e`vwI>3xiw-Viq9`wbTVWX9-!PE&OIpS}0!q{THdC^xn$NVkr7TWV1V~aLNs1)BN7fG4$ce1qAv5J+-8)v$NvJep7y*815zww-L?s{x zKqekUDr3!9Bsze z&60{0UE{!Y-+og}3M38+Irz=WFA+2h17yK9lk8vvb9S28E`$mTcZE3>Ho*3o$;ea z+Zmk$Z=wdpeU}-Vnz7BWW<0Pw$tcw(sopi8TCRn4e%GgQ&7BsVI=KsrpUn6veEih3 ziz<|m@laHs%=n3npCY40)x=`C=5ym>xmqVe3BT)Nx#qJOKa=ruWOT7y6YKh#pPROi zp@fVFAAdIE&t&{LGNzAFdiRb=t3hA2uH(_>-aPRrz@g~9Ls9lOp0zJH@0z@#4j0{n zdGZ+s#%5l5vq@A!GO{xa)eIF@!txe};}FguIc+6ueI!d`RziSkrvgAVfXb+Zf{P4D z!)~$DP{iLY138mo!&NuH&1NzOK+Xq|3x#S(W42YQ)7W7nS}VQ=Oi6}l7;^`~G|j5N zxWX>jw%2Yt3k|*I$gAG-4D5pUCUSmruq`YiJ_3Df!V7~FPuT6$M zq)kYjENOg8q>1}`S6^(LEZM|kpoWa=*ocn5tekU4vK&Nm2FYn8Y2byF7pJ`{0e-0f zPz|6mcnR?O!8GwWnmkK%4vCw{@ynbnoI--C0rQPY8@6b~p^Vrw^a+k?}B}uItCjXVez^^E7j>&&D`LCJW zdA4@)Iu+PT?kwOh%S`U9Q#*NGYt>5bGOJ&nGI_gilgy!SJCd<)`z2<}n_t`7_2Z!Z zSHq(hzpDM$)V^#d*N;PTSFATNRcP{M>>AoUO%}W`PwlD!X?`i&LK&FB$d>QlkK)vC&`XPhkw`Y z;czlvN7hI<8Fxrp!~^XDS_k9+^!AjB?x43ny`G~w3#2%Zt;@~qvsi3(co7{2Z{ex~ ztZ%VJ5@G;R;~L%N&8+M$^FtYL;bV76k!E)Zk#he#RJ0Zt=aD2ra-)iAebEq;9`($CscLpZp>D1C< z)6!KL>V@bZpEm5gZ~l&UdoxZTIg2kysgXGK+K-tNFh2@~!grg?j=LJwRp0F>OOw?b zbLpgX?UfLE>&uKzx2p{GLb*u%)2pjTdcXu}NQ^wW+%b&?)L$}963qb`1zMLkwB!-p zwx3PmO}DE#d0CMDY6g~>1|r0(>GC=5l$w>FfJb7NgGkOGIgKO@R*+iZv>^ugr2;@T zfXYxWgfE_b$VTXreyorZE66LXkVMTG6QVrR*k+PX!mhGsgFY*3lDz=P3j^fU44mb9 zKm~w|tAp&&l1JP*2CXs?8qNe34 zF|9}@P4{-}EhX>94KeuaIBj#ltEfoMBT0lLC2>ch5S!670Q^FF$sjeRPC(6sSa5Z^ zIsE&H$2_@tW7peJn^-0nlB{y+JcsIZ=deRFrmtidDHk%A79cr5ihxA@l`V&)aYu*_ zLwD%FV|nSgC;h>Q?HIY>ibVYwSL>`6WN;XF*o0{lB0`PpYR7alD@97jF;JGqi8rN? zq(zbeNiP2`OJp;a*|wMlb*5?G0poO5@>1%?XNq3Aq8N}0AR$0n{(>AJML?o}bOA}@ zj^OsKhNHR@qvY@4jJ@+}8iUsF<$zr_eth+v-xlTQq`rxC{yUd6aM*!I)Je19Ox z3*HUCE!9zycGmR;x2zG?1@c8*DA(IXlHJ$bWUlQf{3vyK@Jlw36iQpT-trxuF@`xn zQIbkozl9>7_^L@SXm%1)lme;-G$4=x(?T)5olSNF-Js^C#hiBxq(YJuNqS5pQHbdn z)d2iLM(svv7>oC0G{7&-U|J|miKb~A(bz4RG23|wTNvbm0rF}FmV(v*Z9+tdTjf}a zTyMqN%aEIuw_ztMko^WliI=Ol`3WD6AvuBMtOZk|!)kSd6vGp9V&DAO7jkewC(Zuz zwTkw&=1@T0q|-vjX1{Wt*ev4!O=}3yoWBmVJSc&nwc2NsbfA^D2dg&{gYc?YV-FwFl`d>+L4mR7m(GhQ~B`PKW_r-M|za&r$3KIM`1l0P11%h+jo zFs&u1HrLBC(F#9o z6IJRtG65O@G=piOZ92veH<%f1?pF;H1H8q(L1CxFJ>X)K&mZFM@>~T z#)PaObG}B)TIHTKTL;b|Nq{63lBCGv3THz#&wHtP+`N)So8$ph4QK$+jD7+!naDR2 zTa$_QU_O~xGnwdu!&Yk;k0#bMg!6UwJT7uP%p`VVtFQq94McD z$q~*P0*>DWm3J1<<% zqQbM!HV8JR+QSsUUH8naD^KA>L4A3Vr86bf0o^g#JUeL$nyIjz0e&IviBHzG|s&Z!LbLf*ZG zdOxdi=zaUdJ7zF8Dc|!kq+~^sABhqqnvkeNQde;oc?B(#pcz0KTcr6U2S^c+C?H)x z(&0{-(hOl|kPXkBsd>+$*7zNWwsKfJTA-9>o9G`*;7NYDl+xzUKvp{j;RA zK3@}RQ<4=)ek4keX!1x2bzXR;LAzjJItq*=wYfU+@y9+HbHh0NB8KWwBq zF_<)hVP{J!EbeE2%%vIPO^Ztd zfM(*FsvSU>E<^KcO!qJRYfRUgQZDDb11hHTYPrES&Ub74Eewc(S13e;Y=tFq4Ga4h zQmTT|JyXchYmhQ~jU6jYqQKfdT9BOZcsyD_rrzvM>wKTL6Xu7n;Id$B^VdV;cSHGq zK{WB&v|;YaMqU75(REc@Fh}i~xE03k#mZ1RzsDzJRO&x#u~Z z<41g?0OvN$8c{Y7;YaJz^9GTVNKzn4h9oVL3`lZ$Nt6z0=i7(s!-`q~bpu)ev;$}j z&}ONgrB-a3n3)=4p-oO}Gd|3NM1{sWHdVhP9iTGQ3-N@Vr2P3f+k9BXhYl`U!4~O} zWI~eDzc-FM(1An|5^cl)c?BPnpc9Y@ARjdgt#_If_io4++};&wRe7pW!J|!Fnjg<7%9uoy*UmxzA?pb{^nrt7`xNnXM-9Y zqzYi88lZQ>9qO~ezMx;9WA}Gt_EV z3L>B0NaRxz`P3ou`AtMV2a(TjB=R|leC`nW`AtOJk$6A*`He)}gP5ZEIY)@4j@*A` zFSs(az2Jg-J8F+voq$$Tfw|n*t*MhhpcJ3J>LlGI4DAjyX$GZGE(L7w4bL}sV~vha||MBkz_!U3tC9@j+Iwb6)ccMJAl>zZ9+si)E`dOS*m`kGR7q9 zk0I;MSe?}8Qhx^d#BFqM{_0SObGEptcUoh-oF&}OjS8ueb?=bC3WpYhzsqWxv4ZQE!zdY$op(b|?@-DWdSV&|S_8BR5#i8c zobCJaItem5B^yWReKE1Tt7OK)uKI%(;8)QS*=>Bl7Bd>=K`0TCkG{ARVB8kA0}RFBht= zs~Wd2aw8>SLZWaiOs-y>ksLrq)dd)Rnd5YYf%8rSD-2@$9#_xyoN{&2+LZa+le?Xgh+gDOGk{z&`9Sz z6Gu8^L!OLut`CeO9Zdrgu%ZEF5D~NnNATx)+0-%eN0M1~oyR0MM9cdBj3(Kk3XlyX zg)GDu_M3NBI)dQloy{s2J!kVEQBojDW|}gV?hn9TVq=0;v=c}xmAU~f0NMex=D{3t z33){&k!Fm^FdAjf!n-RJBhik;1QI()j3Kdz#4HlqNC+TdfrJVYK3;yclIDZ(8{%f9 zmZwu9-m>X5pzDAE01N|QFaSdW7#P6t00s##RDb~k3>)=L$SI?j^{@Tr&UTg)NY3IF zQiZFRT$c7?ma9*r1471mp)JRT3cR72dE77LXPM> zKF~Z3=+}p6o{(tju|Kgw5;c1<0xe^4p>^7)F=KY)Hg;wk~%UnNu6~}D4vm^6Pg1oRpqW(H| zR#xVnEm@>D77~D#(2CuLjZvcV-oPunlp2y-?PcEYrA1(nrZU^L?S-$$(K!Toq))w3EZ*y7c$%S!b^xrCp4r(`$j?|nbH8QB~Vm&E&_+?Ik zbFdOZAuEpZ9ie^fLDN|VWdt}I6~@s=LtwEnB~ePIIEkWis9)dD^I8Py!9iqJ)mhMt5pI*4&mKMi6X8F9 zB*K5XWmt_M^@7w6(gu*0fV2msRUmBxX(32Eag@mTe#udlUw--JfAb`w_NdA)9##2e z@2JWzZ*)mZ-mhwE$X(U+CdYGr8Q(0k6@ovw1xVC*2P6PUDA5FBnZ!g>#FLyL;1qL3 zX5TM&H}_tA@x}AJzGTx(t}4iR_I1ZPQlV1Yo!Vef+x=Jc03(D=79N}Q#Y5V^bD6$)F4LFh zTqg7H7j~O8j?NSx&;9K{Up%<{i*snpnD4=)(;N>bV^u8t)BeGR7mE_Xz_v1xN5_Nk zxB@_m0Vxdsi{d&$tuzh{;N8MvktN^9R9hjyi;&;GJm2!EP8UDBWe&)H-T?^!5(+gC z10>cs5KnS~|fNoAbRa z>q{!o)Td^DI#v{}hc_nl1BJ`{Vd3fz5__<4J*04Xkl35t=<)FW^@9g@K6v)$LkGynhqcMo82|h_|mi*w2P4Lf$CkjY8l;2(TBj zXUR@TW67ZqEqT*fGJ3s=5Kkmc#72ouHZ>?Dz5j<%qBAl&FaY5)I;)D#2x(x|$df;Ax;)rt^?%kASfE(--a;hBt|M>j8s(V*0;7 zT=2p3MIUm$sOJjaX8q^Gtqo2~-XH4Qkk^%J=COxKE>Y>}<@MJe4fo(RI1g#70_rxE zBo&Niy8{Z|?XH1Ayy@NTg0CK}B@*7!zA}fm+CB8F&*6>ixXc{BN(KMG2eoXn=1&yZ z2J#L_0FY4B04Y`yQ z6S#~c5{x5=C&hsj3Q{yk1t8TBagn3ft?Kj>envNTw3o~LoCO$y0rtg2$>(XQ`mE5l zR1daP4|^@u!y@-!^z{1K)~de?vvtGW;)DGj6V4=8x|%?9n8o=3c?&>e4C zS7taH3U3mOYa1sw`ZQDgXiP zIf9k4$w(I`O!uf!2QH}lB}k{^L0o6Omp@%8o6Jj_2N0{PENAR$14g-b_j zKt#xcToF$S04WBfFzuC+mT#7R;_Me%JTikVUtgEZZ24xX!>gYd^0DV%_vD`C{GKh+ zwtzFM>{+S+8?Uj=({Ho!``OsGkU!c!wn^h1kbu0m_J>BR3D9bg=0X6HA9F=pfmbgI zyo$i97X)6Fz^kpm4=)P*5P=_F5cr`4ekc!l;%V!l{>0P9LpG{?ghsP*MaaX|%Uk1- z9wH!iwGkSXheq)b1Q;bh`b8BX{#Ard32Y;DT%ZwBOhw28$lD0@Czv-8^6>Ir|5dO5 zDiJbr<0~UXKqA!Yzp4mbB|;DoA^FiSD*Ye!^nW1Bd5U?X|AYEF^7}pVd&nJjH01Y^ z-&>o{#_Ug6+}Ec%9%8Z`T;2l-1VZ7PZc$uyQ+*E?c>|cdaqpK<)T2;>$BO|nv8o%fdl{v zMJEtmLR0U6cmg^ukRO2}8-m$*H5=a`9$x-OW_9GuB826A4L|iXq(JB!Pv_7|1*ruV zkU~L<_9a{()u38LTz;L6xd3RG5!O7eGbXi%moW`gG0NnJ0SFh$fvJxblJ!SN2_YvK z2n|fYSjCmC8kd`l6u?WxfD~pn0F}RaujbR;|=MT1lTQVnhub@o4* zy8HGwITckyqs&xfdF}6V%w+sERmYy2n!8;Og!ttOE`@xpsskZ4`!Up3gcdr2fzZGN zBr;Hbt!QUy83K5Dcn@qc#Kc7HGeicaw0wJ3Tg^>!&undpI{&~z~Pn};|L!RW*`!DPcAQ1Y+}l-eIzhKKxzW15477e zqZhQmFhqg0hEx~*-(2^mv^Donp0m^f+^?atu7?E(9}s3k|86|ATw}BqlRz4#$*2Ko zBuG<1KNr>i^{-$4+d))ESbZ#2{;{|!|27@>+Yu%oq}+c=j8R0|Iv5b82AfHR2uX5+LL^^z-VDQRV}H3fXbC0fua()8ohfLf$76_ z8}`k51ON#|ATR=%BUE6P2mpO4KLSPN`_+d1N(T}(ju0Thz;=HW0;|f%f)*ZZ3={)W z7~)0Pi|!|TEN$)RbN|h#X&lln*seWgmW9)D_xO&~kPeXRmQKhI=#ST`>2b(N&mhh0 z*GXn1R4RLmAQ5j0g zh)t?Pl<@@2@Nlj&0kI5zx%gyRu&4#0u^>}d zD&R>qI7d{8(@ve4INPbSUE(-(hA5{lbG=?)*GayenA(v$F_l~OeuezsnW$_6sS~gM z4fwZ7-X(NqtrC40h#Fit5Lh}tpr_Tjos8Ovbuua!@}cwh(VouSqUVRQkvd0}biZ3g zOn=v@zw27K&)lW9Hot(Uaz?n2-&lIa|f#JdJQB5NH7o@n1D&~>&!zz#ghU+iUBE%^cPjuqbod{ zX6ApEJLrKb81%`_bWi~yH8e|5fl-!Q>0ul8ug!>x2B{#FS(mCd+(V `SbCcgyt zUjiGi<@2ngs4)H}V^x^bhxorU3Bw2g5{fT?ozj$yS}zL$FXhJxqDrWF*1I$+bBR%E zCc6u1a%a=b#!a1#n|3!XI9!Fd5{f_ha(|Riri1nQP^K;hVHMEUSusApJ*a*v-|)nf8)nN%p%gB;HK*den33*FNoLrDdZra6Uw4W z>v`K1G_75NwCxJ+N=O`US8!f^$m!g>M%&Ua<9B*jnN8YbbRuc)R1q#%?B^~&za7b4 z`Tl0^;^Sl-y_lp#At7F=fr9-$0)T{?yHc9elHApQ(X^z=PuxXS#QawW`o16&$^Awa zz1|+{dr}L^6b(`VNHwSyRT`_hD=Q~s6U~+zD2W*mNoRDXore--D!_46yo*UDt#)Zr zuB8f`n4(z~cgzE3TzI==vl3|2+hpsnq-#oOWV;|~;YUEUKmF%kWt&mOf1>?At!)3Z zDqGj&^;bXtCvk=g?Z8gR$3KQOc7&wb{sSQ&ZQfyTgjnrAef&cqAOEN*3?^>P>w}5g zoqHnN`lXxj;sTDnMyDvSXk(+ZsYa*OZdQRy?VGOAdD6DNEREf5AETu1^YZ`XYFwxYFRR5nNrAoYOMW*B_dW}vF-A@2Nh z$_g!l2Ax1eXnefXSMHro?NJ!wMU{cR?pIxoD34TK%~WW4nVkzmFYm^)O$p3+c3MM9 z?Su@H8Agi1OlPRe<8HO!#N8Wv=W4QN(Ct!q=r1@o>H~>vL-S_aS1Gy z+((SifrR2fAiQcBC^LoSx2gms13`m#;Dp+2JcyRACKw0}a)HO>rrL*2dm%x*s25-3 z*kj@y>)!TbUBuV;^uTO~uw&>H4~gPI$!1FidSxQ2Lli; z)B(%J8$J}JjyXbDrMF6TQ_~N5(qucDCeXmB;5U#%W@^>}To{27~|z6%bM&^mqb@;YvuPlFEwXr9wf9 z2B`p~8j?X&9)zmC(JfCYw&V=H)SXafr%_>u7ge!cwk@$P^tWw^cWzACwIyC=InHdk ze8?FG{7DY5Q1VXrpbrQo_CS)fe-~Z`R$ir#5A%9o0eklj1|bZk;WoQ>Th_O#K)Ln!fGS|8kw^eE1O7MB`r-Z z1Zp7+fugFe+s}%Y{OxDRU8#5YzU(?o*&f$+Q{>;yaWy;>;@iu?2`Sl-D=WhO)J4f<9yJh^C`g$5Y?^`|cZT0MU)bn0Fzs=uI=OZ^u@CP>m z`OiCZ$=r66P>b;B3)w_{U!n~t2=@B{3ME~EXh8^))F&szYnpoq*?e`mP{9!l%0>0`?^g!RY%!7BUDQ=5erRO zk}8S^yDajX`#^REq}lMxc>0)7Yj!ArkO83u!r=Q%UH}vAJ!RIx$_A+cq#lsk5|)V# zRd+F~4ZK4mYD8j}j8I}$8*-s}ijQ-K4G%U3Kr3|-0?9I8miBHNXMW+aws)@0GB!?7 zB}FaKFaY5~56}){gpAWnAEktTIaqY=+6w3~N7mT*MdLIE1WZe{U1{!W3LeIlEAm;Z z%@yruttKMPXDtUN^YO#vdigzVEB_NA2hF?&5(b0-2o(@gAoLgujIn$m)8>5ZQXDT8 z3Q{yk1t8U6v#7lMkcqi(EfDu=f+A-$~`S8G_$&Bsnj0Qt`u_do)HPyitV zLJRD#^~gDR#J44Md2fnA5rjIRcedO&Iesgu}f>ls+9?EqkGAEI_la09pr#dP7#vF2zRt zv3NVYovy6tAOk`RgaHVbSw4NO14EnvS-=Sbs#-lDwSm-$AtDC^^2ZQnBN6@crs%iB zQyu<_SxLl$qaKDvX1eaL8fj^4Prv&cMp{Ul)9+l@q_py6&4K?-E3p+hq%#m@|A4JX zA@F_GRo=$iMB+?7A$?7VY%>*bd$2beCl! zh-mhEq|M6&1EC?}z(joIydR{NEd_uSBZ7qZi>fk0Z28(Q{)vB z^YNNybv|7z*VoU}ta9g7;#lgNy-@6ICW&+XrYfl_nsREWLv9G!4Xh+`Fadm;Az zj|y>a?%@i($Anx($Q459g0I;ie1gslMJUujd?;}xkBf)o1j%o%0hMF3#JF{=-`e{z zcVn#Mjwi<$PhCCr^wjmV{N_CG)~;I22oR=U1&k#yX%Neku>=B;{8%EYYT)TN?j>$J`6Apw32qjv8$F!vL0JT~m2Pqk4 zqDt${&F5iSXZb(|YoGC9E-zrKe&SjE2j`36LMyP+nm>N{I!ecTLZJr6#?4JUym2OI z3@1o_tP=TA0y&>OC7_nK4y9JbWc(okLRXrBZ~$Qg!mIZ)(WJc6sWOGD6Mm42K&k_& z6r^g9251(jQidHSH(g$8Jz_rZx4D#V?Ss--clj!3f6uD{)0|C_b0FK+>fWYZD9|)L+))QjRqiKt)KxifZ(Zfn*2IBCq(g(D zz%ul>T*4Hlw?QTT`*hxQFkIw4A3GEpe>aH<0TK*^2Jyg%&x&VAlZue>QZXQfAzri< zpYsEtJ|W&FW&Z4N1^9ya^p_!t_~&_b=)Tt)7Q0Ka@=%G6f(Td%GhEP8S-I~)R1Ue}*{4c(vg)czb+ zCVxu)XX@|CV1CevoxvQT8#Csa*lZ>WW7eeYt;x6TsqJ`d+a{yb9TTS4Zr}OS?URvd zn;Xvv;0>Wbf`LT?vHyqfaW$bh3Eo#0Ef7x%2dM(25)jZZmHM;`!?}{QW|b+xi_J2p zzv@onvz3MyE!uOjS>|2l7tI|&XB$N+1&HA)aES_NAO`Lw z(&@z5Q;h|x1F1A-Z4;_X48IXcGym58_@4rLGXBo1Lk)x_#+6@Ay|+N40f^|(TX50R zSvN?wE&|^O(S>fs77O6;-htJBaGLO%@*qJlmPeT@lJ8tq0E3 zcK-Q0}w8R0Lu^e#=G@{%YepIS$nc`UV&oobD{z#hI83(9i+qm z=$NUa>x0?e_ty#AxKMcar5OKz*bNkcvR61F00GYEUy-)46e(eHueImPNXkP;>&}g=VNTz9mdIf-)F~ zX8q$P7u&xe6Uk5kAq7H@7T`--2vamj1t8U+TGYFE{bR~^j;glWR2)Po%5^uyKsbP~ z0pZ0E;CVxIs_HZZ5g=8AGyt+}o4O^FOV8F#&t(ZmUb`uW6QfdQOkmdU0txVcvjqj3D(ad3;K8ye zKbD9(ftzf+845JtvgaO1C{Y6@YU}iuxn}^t^#jH#u?8r z2pqEr5S^@GNaXy_TOdKgaeX>7x=>;lFm}~A8Cvav7^E~2GC@klN>N37^Evm>%qJNv zbe9#@aL$}YDB^+eLX!a-h$mo5Az=tqOw~R9E8|Z}L@qSQ1->MgFohvr)Y;3x4E~|L zRmGc3gd(?waL{D@1&Y1f;hpwEl6hzXr#GC={Zt>a25uOLML2{&sDZEm;RC`9L;|XT z6{X{<2~!_Ptsr%Sv;d?XAg#ejQ99fA@0wC#3;B)`^3D=+ZwEb%<2xJ2cSYXLyh^^E zdEJpa^Lp>h>#y_Aqqly#o_|)B^A4Z$CA;bI6FaEPi=RjQhXDu|@dZYR2RkUl-4*k6 z0%BFf*{8_q67%eE1H!)D;f4@+5#s!w=e6|JK|bd4+@JB%$WC?Oc`b|FH6){xCsie6 z-w>}<(tY}}N`L|g8L%%+zK6?ntB<`f*t~*B2Bn%BaDvnTQV&RNAa#;bq7+_Erkzj! zR1q?CSZ9WLlOQ1B39aTalTm-BYJ{~^Tbn2cq%@z92~sl3L}{R=i-+a6r-zc)YI6#b zFdzg#sDO|Hp*Ok@%Eh`&@qyF=3rL|LMT1lTQVps_mE6p}4wE}cl9dFz&%y&2XbxN` z2j+_zAGWS8t;EVuqk{T?!VAMgvZe8bG`I*(FgYu@QB# zc}}l-mwBtbA%@S+S=O?JfrVW|YiypgpKm^W>W|3hZ<1c8^A<=DkZ>T&n|$9aLzXr6 z=LmV_V58DNhsWKgnw>IDS)ca?y3|OBu+!3f^nj$z0~x(RR~bW0V5Dp zN$}m>RFwp+jV3WcK*E6#0ii^ET`NoEDxtrpv_Y(Rs6omEDH-cUu|9iU5i_4dacU z#P%7Z-3~jSE4JAQ8}en_Hn~c0+b+2faGt8q46>|GPRqeEsnEl-T_)A=5Ru#MGO1tZ zFdC!zJ_YY~hoV4b71P}zXcECi+<@`8LXx=0=%6MP>RQa9Mm-L~)pCO5$K#@2U`|dx zrr3PKiOCAg>B$EI%^J6aMc{go47j|V-c7484Q#ZK5CkL~2$BC&ynskTd|FCS?9Cz( zrSYUpkdjd*>a3sMWw>xsm3;tcUJ!3PkCqxPEE&33RMnHf=2RjiPMuEv z!v%yD2tN=ZzR5)ph~qyp%?nvxcg6?3br`8ZAk6}497q#E8tO~rgESi7i9G$MkIv-# zsupVfOl&H{`3VMgATodm0wRrg)FQ5*ibrbjd3FH+SD37AAT0!GClL@)xG0W;iqx8J zP?_%Pv8G0?Qn`4TRH;nowcEH?omXQ20L~6%bPWl&TO|S~4$$plC@dD%2;KB!LU08dQtQ32TS=eQTlTiM-K?Oiu- z=@x8g8~o@1k-9RzV1`3zyJi8F*KjzOjpZDn9bn%(Vlq|Q{@iZ$fGE#l! z_y9I+R(It&-y6C$oF+DbKq!Ea0sF0>7Gk)}n$>kdkXaK%>MIqbY>*m2>H(=OVd==I zI%)De+t|}>qLD?|xOBnQs0Adwf z83KTKQkjg?GMTf2!n$@LfzA+(HTM-M=HqhZGjr|DJ(x!hP z0tbtr{;3Gq>}+b)l&C8=Ce5*O)8$G$d(8Vs%FX3o-YYi)L((<)2``o*c8aGp|L`;3 z>I|`;fDfvtTzN8W<3(oJPOhq*yhyeEAzc0=pOHFcv@ZDhvI3`Nvmcg${*zKOQ*oIE z!%w;Jkt2urwvIo*MKD%jB zzbE9>iDP!ya==@S4}ZKB_k_v%1OgybKuCempEg{-C{!<E6IqZ4u zr!RYEWy<*f}HCTh&{oFPiq4Lo-< zsn%G810e#o2g1%FN)I9vsXSOyDGj7dkdm=dly2|0cJZB?m$!@WzS-^lMhbj$@!hvk z{Mjw4vchB?lU>7$7EU==I(lW@=;|j;yl4@W(^?R2deu+;TDBvqZH`|(y#hkz|HCD9 z`>GwLvyAE$2@B z{0J14KtIw(U=sL;{`@ig7_7ir3rau)=35jGj`rk7V7~P-dRe@7^s@M+S{C;c_oJ7^ zYm#x1E!K`+UgsRv#cMbCw&eXG7!COc$v@cmFWxNP%qG{9+gvBk6HWkPGXX$C{oj2Q zb@&D`5Dx!$y9K?O6bTrwJYpo`N#S{!zPXBcQXNR8AXWPWJCPQdcNbZ3+Q;H;lXn+y zjdb(X*#XaDOjnZZym0@|B16y2^fxE3VJ%d~uG?BW=;1p186hc~M+p(YS>i^zSu`S# z(FG9+tpEXyHPGTHva8^M7EQ`zMH|ok$h9#&6JQQs=b8JF@eSWd5(B3&dBK0)0twQj zH`dk=0ih%{fS4d_%uCi+4lk7kQYJ{rSScz`vKVjZ$ufs`lkJQLau4jVn84c$vF1C7 zlR}(0IvE*F_e2h}z^zkbeHL(jV9f~Jc4FaWm5Zz+bb{e_jn3b;M`-d#+xkO5@d!s> z>X#&29h)h!egWwT2tdG8pP-bC3CsVV=>1ien7G}&zlTph6AJ8?2v}7>4D7p~>V%gF z0TB;x(gLJT*g>lBX}btVdsGTiHAn+UAdz*YVl>MhIR7s;N<-@0;h!=@)oRL zxjq!ge}oCU%FB!k4N3`hU5AJ#U{^C)zbhtro7c(P`zpzpyGwtLX)|xbYd>Hyxo0e& z!8(7FhP8gdY(x;SpGg>0Q?W6(btpj_AqFW8q)d>Ku~_7nkX~8VQDh4FLY-LgwY%rT z1_6HHaJ_}z4R`+hHD;|8=I*i0PO$OTL0W-SVUzCvqK(q+}s$6*Q0^BZ9TjyEg z2m?X@?3ecX26~M2*g@0x-sQF;Rl@>OC}_8~*O#h6waEDaIS^U{WgeP@JEhxlaJWnQ zG7I#N+Cb_|k}h&LpZwGN>2)G|%#fO$GEYGUgx3Gpnh6)K03!Fm5OpdWqy~_Bd{P8l(Z3B}!91nX*O9+IVP^8JG|t!9Zwm1rQNXI(a1GNdX|mfE1?tL6rrcSr53# z_lm{jIoZH*`=sm5s~7?xR6t09(4!0(WzVH7D}dqC0)?s!CXfn1s?p){*(y%#$hY-i ze+p4k2YL$84Dh8x5tP!PJ zzI*$zF~?i7?5lmGq4qH5g;(4!a!FP?Y#*`f?Z=d)yColmXY3L{`Qpy={eb-EJ&-`( z=eS|W_zx`*1|VD*3)EN`Of?WsN(Cv~FjztA0jUk7PGbN{4A{EY#J~?LPWEqmWv=yF zq%WDtetTs%IbC=$Wz9oA;`2}Qy9EduONhpHi=A_nN_zJ4Xeu%K>SJy{FrPN_9Y<@en>J8rHv=bGq`R>J4Z}K}70B^aIBt_$c|aKG`Dkf zn7MZ8tXQ9G{p{IqVp;e_aiM~x`&X6=_xM2m`ortnDPQoP_*j<_G4J$2mpxt+V`zX7 z0-^SQw|B(uG0Z?D0Bb;oEdC?V&`yq-3i(=^k+hmkArOwy43NfvGzp|(K4Bh6BSD%9 z(qNEggESsw6hKAf!0_+ zGly1zv<-CFo%0BWVFYS$^3O$qNF5pF{?pMRa`gYK1e-x}`l@Dy#nWW{mB^=zp3V`~ zP-Ix#)wE_=Sb^{xlR+YN<(|A#1yV;ID@GPpjR0v1NP|F{1=2W>CW15+q`9Es`TsEEst+?rUMn#Ifl&B=umIYUI_Quis3NJAN(Ct!qz0e1 zOQ3zSn@w@q_O_P`8~coGhe=^WM;H(SAXL8T$KBQy8C}DbMh}E|#ikfK2<@FfhW z7Ik@neK!^YmSSc*$It*%d(l-;)#_Fk;jmz8BtkT@TV3KCWMU*x)yqXD1VB6i)NgBS=05H{be9b5qse_)m# zS-`IaC<3Vtq*B9>0nz}>5>=0(o&B-kY-fLVg{HO;WSGx6Go4@k62R60%<9jc(NID$ z5vWE2;<>dgrko)8(J%500BOdv-3CUUPs!B*T{*aPGvi4MFhsQ=m4h?^bZ%>7we`Kp zUB&s=EVi2DZb*wp`YnIMR%^sDQt+!N{o2m2HGKaGr&_uEnL#`dxj$uADjE39_n^u# zPh38XPzF{>Su^{x+c;+vvb~@<%APWw6jhFOAyV7N?Y{>#eOyOG{=4G82 zLYy*S1!aJ>%wny9Uye6{8Bx@#t?CtSI1Mr1VNu>V$V4Lu*q^hggP|euN+$6{HR32`x6?HfJnXtf;)Pn({a}sw(2YKxX6s3yS^RD#9wD(NGLXVc00D!bzi9g|kihuGLoVP39{y zm5#vb;-uB(K~KnUq(RlnZTc0|aKq8$Cx=&r0wDpiaNPg>0)76ojvUC^Z5@#H=t!t0 zWRoTYc6GuJQW41Y=RUCt9pqYckSo$LOH_46JDX!Gx1G(|rB0nG9rD$6Q^mOO^O~6! zms>7e__@f!&uglf)pdqCt0i4L?sf|{9;-~Wtc)w~fDi!tj-(Y3^upXY2Pgkw2kz11 ziRwfmGu{UgKcJCTFG%f)bh4wC@T5JGAQq%;poS0k$ewEJY4d}xg*iu+E`({;_1`R? zgaIJ{LIv#W0}ofKgH)maVV(n_MR6d7f)ou>0Z28d79|IA22Zw3(K}Xe*U7f@5&$F= zEkJk)P497gdXL#aeg%R`Ad`p5(i=ZCFNU*_5o?x)CIa)J86uyYb_B_fKv6QoCc}we zXmiL2wmnNSL#Aq61e>!vHZ?&L@+^YwtKoJL?84;=i)ImQ3i$KQtn2kZ=OfdzRT(dV zga8TF>gJlg1;IKSgt-a;DF&o4j2FclhMEB()*DBpXDMpF5uB3iR#U|w5T&zOQ#OpB z&of-&($^-ASqba?N1VCgcf)6o!H6aKrkU+2yyFc4KtjzezK-9T-!v1)q5|?BjOC;6-dk>ho zps|eB2#?@$@i5lbJ_6h6}P?MV;U95OnVrtjT zqf7jN2)r!TT8B!P_=%|7es$?#8iZX9e`K8q|*C5+4%7@^%~Du3Pc$}K*E6#0ipEGrg|~eSM2(r zyhjAEof=a*W{I#sRUj3DR0~qMFEIh6AtKBHX%tA)aJk6lWO@Ci`uqHetsaQWJ0Jl- zLh)_&(}=Oj+;0E+tNiL`gpr>ZDj* z*lQnCDro2{NV8_ozzOz6dtPgyUicW{8&OYgGQx_UUoN}=# zs2GQe%UjplEq|%2ME&2dvs=3Ia+#Hvt_9^zUdiuV_tBI4|Bg|Yt3H;l|5#@I#~tK% zck$HS-DGjwdFt-Yl6+^EmDj?qT+}B9Jq0Ncdg1^y4v<LhKPyc zDQL@6NAy;ALQg>h?|~K*LVg5_lGpF?Z)*9n@eQS(Iwk$JL*O;8o z|Lbygn=93pO(6cb&5}=Bhw3EGJo5xvq7DNPE*t>Fi%iQ+Ggs2(ZqFca(N8~Dzw}U- zWtKc=)sGYQb()Nf&YK=k@UFWi4qZ^Gy*s_jM1aejyUEB^A#}M;5K7*k=e=95D3944 zM5a)HSp+(e!pI_`I5eM|d;dEx)GuUOE{s=J?$lT2boUmMZi6r1sWrR%gll_F2#{cH zZ8r5n<0Ov={R#jn2Ba{o5jmKZhQCkKIh#9kunKQpR->|&bs1bhSb^{Z5#syqOIw}% zl9k0dj^&(LSf?o>M1wR7q;Vik1Zk*Ym{SHbXjNz08cY8FH1a4$IYq>ua;+oWEw3l?9l$K!Sk%mAD7_ z5+d^@NRL4bQW{8^ASHL%Gr4~?8EvL1ivwLFb&V{G1OuV5{+#CH3p}M|6fL6+5252p zVTc!{ZCJ5ne3tRXFfMBB*Pd5NQx}wI0U`-{*P)A|rC*0`l#~flGRj0r+112aY~W~~ z`*R_djkC=Xo&hkKIzxkwDVG_7^66vX2qRA@5E5X2L!z#S0|*-sUQ7p;>1oyw8`Gz+ zG!}l4ia@FZsnjQAfHZ*kh=|W`;OT1u2NUdbW1c}5R0|_=Yv}0Z%^aYa?OLd^s2Ey zeIT`h&K+6kXU*2g}(burpeF8gE+Fw+7bXX;+7|n5%FnI0+M4g zk8ms{Y*DzY&>WNbg99(yFiZ$b0yEQKM`1Pja->Lop>ONmhWkb8i$&^7$LKXe`(?4e zMrfbWYlJ3VBcw*F<9){d8^%7P-!O8HTT0Cl#yO_ili6pS%h(sQ`D^Req0_7iCUc7! zp*RhQf1vT3r-&zDiWy-#4b;`C^SkV)JSMRgme$O)bt;s{yJ|l6eFXss`*Y3 zPe2{)w$2fH$$E0eERXUInpv5s;P#u8>yilRv`R9gaDD`|87W`&XX^63XI?VNx;4rIP$2w~V^o(AT+sO?#M)<;?e(l(G5 zg0zzeh;|WZM`33oV3g)RJO09XM?Hx>L_qffwGOE3FC2JPWw%;B)u4Ih-HOYVwfw4E zmXbWyEdaMsffDi1bzGHbU45Y|Mj)q7Y6?P=MoZmN_kFe_nS5Q+H^ z0ih%kKupv6q+lP3Uc6>QE(w%64phBMl}%PpH;fP0^_lscR$T`R5I!KxKqLSW14I@O zfk31J5e-B>w$|6?Gqxs?(SpgE2hvE8rh+sWq}d>i2N?yB5dj$;qAIE^XjGHcPNx(` z4r}Ze9qK%yGV`Gm-}Cn=_thxooDygt2f`!l4kqybcJC|R>OM2RoU-~y<@x||APo^= z4oIUw?tH~$QFUE5?IeU<7pDZalMuVEOQr-qp7UQ)lM2*i_eKuQBC)0a@1wLn{CbhTboX6?h|KM+ck0g-e{ne`6K zNX+AYl292ab)6P@H^GbAY_FgKZtp=bg2^JMbedrlt(Eam9P@3b+E}Xqq#9L&Qq8LR=k^-yc}c8jWWJ1Qva*@B&#ah`GupinD z)FR!n-NNmMY{iuI{;Njfv`EDtHWH`AqfD6~C94dSA)7WVGMGRjcEwwjp9fKB^qEEA z0Mg~p`!>&?h~U5i>vffan!y8RIflTgzq0(ez9qO;a+xYBr%&zG6IrVXt)>ijjJp*t zLY!5swZ*noyfT7A4&IaXf$QOqMvkX({N`66O9d@MJrMr_h{?Qd4M7m}Q|+OzIv5ew(JjI_)O+r$YsV6bOAP0Hb>< z@?J!uXpjm(szJ3VjmWdRiTd%m4NAY8Xz9|ZWwXAZ$lFgul5al`?a2Ky^ju4Ho;UX_ zSxya}Q@xhmMp54o1SA{?kuhp(a9B-F5LPP(q%@E+K}senq72PDWlfg5OedNb_hz>H z%QM?$)?p;ZnXiCG0C;gOd)}<#EnHy1={#o#kpLi}q(4wsKwRE3XUhqa-+~RwfI9;3 z*k%Ot3qlEf-Z&w(>CPRnzX=!0fG;T{3|&rA0h3;6<4K(uBBK1{H0>tSedWL3Lbe(2 zs~K;1nsj}?Oka~@xLL5MIbYMZ^hbL0h7cgZKxi-)sIlaAqIY<+Hi6J1(0cjLS z(<~jJG<)ADsZI%d0^l+y0Om7yJ`CSeqg5^TEvVZt&?6Lw;q zOYd}gf9PGq^8n+6j1QT6 zmhtt&NSD5Tpe_OOpO-*FfCT4_pN^o^O9WGHL_8?~q!^IGaGj{L%kvcX?HUpF5r*vB zHPS8_e_g$K|IX7;R&R{$8~(j{4|x9$@XjMq-hIR>sI>Ww*218*?>=HDFxuY?yz&N1 z24308ZoJYlwr2N?TeJ5V%WNCL)tijXx@42@k*GR4Ya;T9`EMRe&tscxp>LCIrzZnE zlP!ys{{uby2CDdofnn6Z$59N-8G(Izylr{j>gl(b`d0F~dv5jq)m*=?-W%w@_pbo2 zverX$=DHp#li~d<6QDb6(oZ1pCM|jAeygKG+0rAhNd=S`yXhX3#1I6jAq=m3)=-oGOk^f|)p*x!KI zq}MwvdY>B*SMS@5C;2wh?NY|{c;89C+LL}of!K?=@qORLh(lwCG5W;gr+wdkN{o&i zV(jQCXCQxCU42@8Nc4{o`+g+*s5=8W-oEk;Y(RK%5zzXMgOaW9K-O?r2m-nWALvWq zRbF1@B{F!@0O~@~(5&B8|NgI;^?S_vUDbcxtl!J5-y5?&d|F*@R{Z)wZ^0IC{j6E~ z6~Dw=$lyr>FiT{I&e)AUnOo0!%6TLx&wIoPBxUYm{rLXVW7@tmiJ=*vvKa*q{==3x z79%8Fpc)c1+g<{VwW>iHfLWs6Ec46h#5j^s_0gq?aXgo5)~Upxwlb^PytI|XC!V)$ z+pgrNwA#RZ$~@ib{c5zj%0WQvaZm-tW3pMDdNEM%Ay*|C|i9<1?it;DBbA2{4 z3vI`bpG>pl9y|S??AHIb`sCn1vp!`M_R0Ue1MUq1P$jXR18D{X>W5$bpwi#g4eH<4 z4LkkT4WF#{&~NP-{UaUt$^X0q_El|HOGf{w^pBz+0$$3Geo+Y|$E7j)l*;3i|33|~ zqBSNo5qMPsuObjmUdoR^Q3?F;YM#E*rw_5v|DQf+Apt-_BQQ-60rAj>2!sHE@*_}` z`fYsk!2R-YuEuWX0`i}iKtg~7`{q6?n6lRr8ZV+2Ay5Gz#efuscu^WqL%F^l31{U) z10~i2k#tUrs-Z-gD9#z*)Q-iWsu_X_01}FLV2PhqBxXv200eXrQ-r`@S4wv5;Cc3| zoM)en8TmT#M7HT7<_W~mq5+0B8qT*X7Y~d+Z zYa;>LxHgwS0)!3-F%S;n!46yHB?dVxN8uU^KS)I&)qzwBQnhIJvD?MIW!83)!#TU0 zF}q|L!x`(G0=;mJg42<$k*Q10c<+pr#NlRRtpmi6f529xu$;nbO0;isYO8<1Wb3t? zP3pCm6aNzTmdRFxm|XobgffSUcaG(Pn%o`Em>%(+1xPWV<^z3|{ONkHFohgptm(Mdr zV2#DD`gF2!ykB1&sVl4|#$7ex*Nn+*9(gdQny`Wx4?mFbrmq^TCgAYR+~x&d^aF_* z65ReR;t6PtpbDS16@yPI1*zI6*vT8Bs&Uucu~A=1jv1wL2vk1&s)8Z)8RWnal_?aY zXpjm(szJ4=N>Zn~TgdiP>M@ArBEa>D1#UlQ7S>@^8VLmQ1k~ha@tfaq6dG?;BYl{L zC*2i$&F_2;LGE9%&gL5l}Tq?L%;=C?%d^u5%d#jFS`D*Ah;k+4NXx_kET+Z?kXpva(1_sYF}Z zW`ct<&r9=dmwht?gT<4=p1Mw9n{~?)+apMT!(+$vBWyr;@fr~EMyx8s)H>T;?^Zr4 z0__ealR?#n!H!v?&atkd*mrEdl49SnE~i*$ttI+5YJx$68%+LeURFDRPG#jMxAfo^>A|Rtfs*1Ww&jfC_ zVcakM=Ua z^W{Ucw%r{!J*%y{l9VEbrTF2rW^)2WKq%1(d_kvasZ4c3i89ePp8S8gNDj226MEy> z*Ih@8*q%;QtH%5T>N+FX^gPRX*5_hsiGUUegBIivMBw>Yo5|Iq1u%oui6Nq`A=Kts zvvS%Hv+D3B8x4UAR{&oy#4NbkzuiVdh8Gz!2eHn12L}~3&EW35gJTw&9PrlQV7>V< z92}$>&4Nq!mv7u4c1(zQ7v9PixrZ&6=&Z(`8wG@I+^v8&=EJ+!Y5=(SJ~ilIOx9cZx>$d5qLR$%4tQv%zT zc+c!kpcxl|orgC!u3T-BDb8)~rjPlqu3L4DlqCo*39d)zcLF^t4Ioa9w=8P?sT{Tk&|n_0%&Yn)hjNU!hjN&)6oy@*&I$glv_B&s zEl{Ebc!3s3l#DV_mAmJe^9D_>$Qsw2>)`JH9HX%sdv_HOedDe^^Vn5*t19Bp&1cRb zBm5{W@1X!f280#}0}w7G0b~DjO?jr?LzAheY>*m2>H(<@q)w9*RIY<~lA{z(n_>Qh z2neMKl%o`&KdRbXs!UZwi84`jr%_f1;UVj^zUt$-b`N6UsYCuwS&&{2inIU;AeDj+ z&jH*fM)pu#V3pYvT42A3)47)0EDk+mk2!Y=ul8)$YuZ5Z(9ONzA2zQ%=YX}-{?P{L zw4vK2V>W{g2(Q^JC!U?MM?+MkJxBnl6r^g924I$G>z}9TedcyfTV?T^c6%G`;=urf z3wwabJ!OvtkqsqgPoQ;^+I)h~`~#{^H~xtsH_Q1oYgdu~7wmy+-hC1=ry&c7K;K_m zzz_{YK9<)y*}r5t5x{UA3N%jwjg`iOjDlfk0~sBnDymL*A5}J`*0msiHKuxLJlHgA zRf168FKlD$(vZIqM|08~9U!37ep(IEc91b3a-y11OXNHfC}$U47Bf?c!-Rk^8iNz( z6+vfDDiv{62yowm37j+W1U_NuCIFHnFtt~g$6T3ybj*)9n*W2gga-(t@MO*UwI)t7YUNrGGnWcMss*VWqzNDm0cnot zpt^OrKE}o5rpCS8=CbyZI`}6nPv3@ZY%%%ein;1T?|AjJn(@pbMsY^ATD?|}OJa93v4R_veH^&<}L)ltKJwx@a!d)DbKWygY-b7)`0%8)k!!PkUH2mhh%{UX#E=6QUScGCbZ_2(fYu*CGoyBr??k;PpT9a_KViInn><^~ zK?a02ltv0JOUzpF2S!?TeT7riu!7X%OSFO1i6NqV#=B{UUS6cS9d>!5@2VM;W-x4b zKZA=KcTKKd9z;NF9t5FSPEa#YNC9MidVJr_=}x>bbTzof#aKgNth;S_Y9GweB0()6 z#48S@P>`ZQDgdd5sEZPp$#PZGWD_r0Sxu_6>1_glgyLr)yo6?z6No1{LGmL|ls0s- z?sl>9jWiM~3%X~G5Fo)yZ}zM~c^B)~IYS9D8%qj8RImu^LsI>cRT3s@` z3>^7Olz@mor`iZ2L3`%uZUOB%?46*j80c!wSl0!qjBD{e^N9hml>zKJsw44y z@s3gRh~GUy&G&=OBN%WbEe;Jd6`&*)>c}?I@g+lazmoBYD3usrwP zt-I@>EPW9A=Gp{;1-O?$m{q>Ttg2a3)AEp{L6a6B2BcPyx-SZk@*@k z^w;G^+9Yrjt45}2{~Jbj*I`3?)oBX+e@_?Pm24|d4_;+Wo4XG0 z@6&qRw`+eT->%Bvk-H%O{xKQm^V@gt-j7EAen%u$pWj+Xetye;-UA5)LLq!V0zwOf zLHKW%O#^W)T<U?7;H3)#oMmRAK{v zlAUa3c?To_NGP@eW7{$XnsA=v1j&znQ5x|Gw9a}#qSBj_-ZUc4-+aQ)binvsXmYldRjk3`iEF}wv51SA{?5fDnE4NSCuqZxx<%E}Y*`h*uUW-mpCQkTuHJ#jK*zXPXtE`sG+Ou>vJzKaYDyQzH zht^1S->$9q;7!UaBqkoC(*^nT0n|8%O(76Za)RW?Dp8VVHa02xr14-+*Ov5WEw4Po ze3j|=EbsMO*w{NTexv(0&YBGVXmPi))np(5NGNs#wFF`<0r4cKmJp^Tp!mljp>^&~ zWt`+P!zY(r)PQl8wYJ@Km3rVZIdX&!8lKynW^_CkW1G`bIYJn35wf0M zKihaA7+Hy!9UMY|kN}|rLJWk%H{B^ zAZ-C@5lFjyxt+_h71mP2Py*6wkhX)2f#nYr*K#UHTtDb8H&yhjDt8Nz{()q$ z+q$@98PY!$M?1GmG#bYZWW~+r!!mV53929m z!UKd62sf}_bCdInKO2{GhG-VjK$-y35Rm48Gzz3?ctn&b$?`~SteQaT z1F03HZl8AP%#+r2MrO)t`82h6h7!*FOj^0 zH>j%2QdaJ`NE^|e=46t*)?Q{}b zxPYfW?Ah?Ow{jx+rBvvx(<6umo%x`bp;_J0IRRDWTG8QNRc`%6|Ift6oHbcE2!S1l z3?PDlNF!SVG3%$|VP5}=R1h$E9l1PdAxJx|(?Gj?_qE2Wm!&?|L63Dn1pbtDDPQna z&;RLZdOc+kz|=-)=sC*)!NP8^=6|SxumIune^&xsh=jqAnou8DOLiYu5iFqUt&-DQFe(pN|~{~ zu2tC=DND>?=t?4I4z4+*dT}>B5<$KDbmUk=-@^s$kJL6FBLs*fAmV_?#5y4HByBSf z1&S+jqRz z5E3ACzUey%{D%z)FD7@(+?U+_s^yv92Wp5aKq}G@B={1gAXS4j0JB6jtp8S98h4%L z9F@1XrE&Q!?Tgzfm)|rOE=&O;?)+65X=a7!~ghCC(0EuJxH$5*WNPesmm9zM_ zTWEDss+K^fhVLsN%bS2lmQtP2nHm!TSfD!4$#qg&v$ofjpN?#Ox73uEuO&a_itdZ1 ziMKv;^>`IaymgmFt>$_tqDwQ{t^=u{j6A zOT#Ct-Qu&8sjb%j+nDXqMT^f)q`Xz$?t7Wd(1nZ7{=a|y@;_HD9vIy`&DqpBntvN@ zy1(!E|0cd!jV%XVZnTF00}w7CtU&mIZ~~D8L>v&A{_iM#g9_h#lNV*a*(d?Ez;hD( z1TuQ39Lxjua^Cp~1tkTC}V&7pb$q%S~v#3%d$(mNo1 zIhC8U%a;((mReqv9Ux$M$QSpW3!x;~t&9%u#!O zjeD%GagXiSIR9_I#_h=c8u#e=kH4-S9~arU-UKqi{Ftdwr-N(d`{Sc|;PDYZ!ywF; z47PEgJRY?CFC9y zv##$+>(L(h_FR`8x#zm9N151IPj2eK>s5}42NGpo0to>U3~Ud%h9(~uK%}7pK#Bn= zj1(26A807IG^FowP62BAYa(ng;X>d!Wss-RFoHOr{& zYyh2f7bTOdCtfn#rkSfj`%8ycyM#!4?ajlJ+&oNVckR@`X4@vhfM?n!Bv>7QuuE|u zg@P0f0%|kR9=j;hA-(EUgg>Jjo7#JkRDHPx7=i&-0;053@Yk5wl@M4^$yUXO|)J`U$PyzdExSd0R3kwgT)N3J3(I6FoRD)_!#&MW8 z>cyEn!)#uVlRi%E)a!sl%#|6~-aE)DP>|g=fz9Gp*P-BlWH4A#PE~u-W2{`orp{{0e(aTzN zxH7vk?_aj1T@V|s=tnq}*3BNcGddHqesGf!Pwj|Pbyq~6CTyZUETU~p&23Nt`wiX} zQMeFKS_~7p^R1aq(OR(GtDPbW-yi?_<^Ph=kkxw0DN^1N$G6t!8`eA3?)e^Iv2k0C&;0b&vmyL{7CV0Hts^Jn94fi%WC zg?NWO>pb-VPkO?amiKRC>5(mx?qMU0=DH3R8rF6b({=FHu9RMd=w^1H1lW*D*P^NZ^Q3 zU3Fh|6+*fad}w{u9@dV~kX%6Qux%MwY=%(`NMYD0s(P3AeNA;rzTSaI@3cE~PiTo> zAV-;!Q6}mflAF2q9g_7E9`cmtdYDR;IqjOTIk7S|f0*#=>XFvwjutzi0QO(*%6`2B zmy)`&J@uwQ)R~Qe<|So=)R33`ETgVdXJRvX>Qd$_*QO$MXmL$}o23Z`LW52qBA~2- zG)+O8eoZ!pjxdEGUR2_jOf*_Ps7sPw{%ht=$Eep)4Y7axo{{hvb@w>DWaAOb>38^t9^3>n)(mxW%-Yg34 zZ@Q|RNj%Kk>2hQy5t?IuO}$1K8ACB$CCa~TkN%`kk_<8+v_Keu!yf%!A?}rF2&^FW zfYb(Rdh}f-Dp}2{Ut)$MWat&YUw<4`?U+~vT~7mLm*~o@{rUneidSYQ{_8Y1-(gx) zEjl_`b_0Ja8EA+Eup&{TlVwIHkns{|4p$iBMV+hstAw-ip@9-DzzeiMqGXhb8fAy2 z;7DYm%shYF_W)mvQYkZgqpa^WeLdEtX>}dxt{>H6)u^yIj$^I-?)21dO!C{+c4N|$ z-<`5K!;ML-hO)42CQqAerrKnRz1#YzD+mA*N@Rh07GgUQAfDs|$&Y@~R^SLmsLU2e z1lqnn)!E-C1dd8ztxkBp<|rq(3+R>A^R-f+9iGjI1WLLXWxn?Bx%+&5qQp0>F(GrT?`ji z155k5JtHM|-lBcdpOLbYoll(Zlj7J{vl_$mnxT8np5%VOj{*XKgrWu*=hRuTH5DKy zFXhJ%qEtc8YnBqFMHoo5g(n0^Fc2E#0!wcCVX*R~0Odkw7$k@nrB*2M<&xIoBl6KQ z7~sR2q&=YpWhk*$5T)2Yw`bb6Hv>1xSvLb$B5c~v(xE32wx6YUiI6k2_!^#IB+63vB_C<3c!BFh^qDxB^uw`Jp$h`X}d4&ySef^Iqkb!1HQW+ z>OUS|&AqGU@fUvJSN!Ju`ul1gU%~VE3ZA-5(MxOQ?@ao~*W6;5i&gkXg#g5KUIGaL z5)6cfr1$O=lo3ocL_8?~q!^IGNDWaZ-V09D$z5wwAv^CLskZ}MR z6Oi!%87q)+0~teK5>Jq^1sP|MF$WockX``oHih|8zes|0AbkYVQ}|vK-%ncK+eUAF zKhgJDw4(3neV9~twm5xKx$vbwLH+Sg@;h?yoh{CtHwXR4 zI`6-R{Mm}3C%1L%7hgTvGCrnrWTAh~;;YAJ7hkpH{o<>J+$p2yQ3~_(_;yXN&{?;~ zXV)GA`Oj-0VL%9gQ2C~7S8s?9T%;WIPEw0_QXEL3AVq^z;7b@tW06ByI7s|%D9b~m zyRyIf`Yh~!Xn}`ASp}5^W-q0xY@5A&QV&RNdD?!QO080cSQalc!>-*lL)ptz+tI^< zd}Ebk)7?LEPFroZwamA>9?$4>PpS%xE^Me4r6-{3?8i8*xIXY_<6gE{oKltw0AYw% zrfX*;L6NB17QKe2ZR}j1Y8Ux66Y*1y2t^k8>9sw?Eqp9{qz?GFSEZ zJZ(Fo=d@IJdWU24S6{ZO)*|Kj(k4RR$_72BI4V zAY51sw2>xY>|W4&6JbbeHX#rQ1rRbIv_KeuaG5ywCXRxzU&NDALCOZH0i+&~+Cb_g z;Y4=e*Kh5SuYchOc8uNk$k%U;UxwHA$ls<%z8>FB=^|&>5C4tgxccHI4PihCfKUM; z^-Xg=of0${q=~SA6be$bFW~~I21`Ze+4Y!x4C>-f^eUfs%I_Bb*e|P#JS2{mY`TzB z@pX}hC{Z6fd(%hVG1k1BxmkN@>pESpIZ+=wX@ma7Z8pR6C;Dp~phW}#2}M5;RT4-4 z!U|kYko-hQl#Dc9+?(|qZ3`Y3bx$mM(=8ZkGx^~{570W1;3sab$_j`fsg5BG2m!Fa z->T|wb5MOdxWiJ)sB$Mj#i}DmRC302L^|Sq5ai;LvWl$N?5Z zk(D*OnFj9gl zC#q3tN{Et^Cga>7vv&Gno#}^U-sZ4gRIMkDV*h{Y&aTIiBU#V7kpTJ1fIkj=aSUJC z#zJRW(=BNihX2cg%_h64;g`tb%(Q;JpC=-#m_=5R?3vj$&Hxk9tc;9!GxD=CvofLl zO$3d{4Kh%aFxfwGTBEHGPHR{v+Nq6G-Og`JVo}eClib4CH<1m4<_OnZyV(&h=T=6e znqnBKQV&dRFm?J1Ns=myEJeuE&`>vI%;HWs6d@>*7Qx(veQGS!BdsySVQR*htoZdQ zn)(yJK2c4dZ0h4E^dTHpFOC#1es$64)UWL#(y3ovL@EVp#;s%foc-wAFqMSWspM}& zp~zz!N^*$h!k3I+s)MPtBo(Fsm}W@049q_mBUX@x>}s7*tU!r-W+nVenArv^3imOt z>?<^jCVT54p(uo=!f27Yv+%43h&cx*bGiUM{1tVrSFC#)(OVzYVVrb_4p2eS3sad6 zfF<5(&QkJ;TU46d_+_g`0F+Sh=42rvXCII~d^X*(UyQjPN_rKi7p}0f9>_yvsRd>R;dk-ZJl!#DbLs8-1?_F1d zV(bj0ovj98npFgCFd@JM0uv5QP%xnZS?26pfqehh`@jB%z1t9r@9zGu;`^(A6FL6= zO{{x>K-lml3(H&U9+s`R%wh09k6jR6?qS`Zca5PD2I$Cx#@Jpkx;Zp)t!}fd(U4!KK2}v|vF>R-< zPA6$neY4q5C!AV&iy4QJv$EM%d7?sz4@C(SO;FVNcWm>9UWesd(-h4xs1bw(6C6y4 zFoD8^3llWSk!AJ3TfS3ZdfZDI8h~jA)3WS>i|NZw9Iy?7 z{*Y_9E({|82mthfEbFOjp>;iN*FmdsbDj^7^>ltWu^Hx*@2IEw1-m^U0Z>Bm4irxxG7B7Ro>=(z1I zp_4L)nw3!;!~y~I0)lNIh$&JOSkdCL8}JYhAhI5i`!53G5Na2jEyoJhB_NKL021Fq z7+<8#!xsU02p|q9z68ia0(oew(`eDO2;M~zgbo?An9T`8p{%V=kE7M8XhbhEBm#O# zFJY*S>I7?Z@bPEgM@Jl2Td)uz8;D3PIP02cH*EZ11HDl8PiL;w>9Of+PMtjpc8N|*4gTz8Lym8;~g z6^OLPW*!j+p2)xs-xJ)@> ze?L~?Q)vzc><%Rk2f5;Hscj~v`49N<}19tOMBgCy42?=@p(Jp!{6uxITZg~ac_CKx6v06 zOjt0%!Gs7Cs9`ykBxsWZYm5BTSdsVb;qEDl{L^5O_oZQu1PW!Y4~zNf=c$XX^uJ|j zdEPh`)fhk+N(?B`p#7C$pP&kgJ}63|XvR%Y5S+QGg+-WHU?PHv3nn_)abehp*Y@SL zz01>Rf0b#nT|)+RQ1p(Wvw6Ei1mDSy>c^V5TD@iDX}H-ei7)D-c|-Dl|M=a1j;vYi zCe!`lk$KpLTeZeUV`)owKP~LWhy^7ol=x7TK+yz69Tc5DDVgNon1EsjiZTD5#dvNu zIG!uW?N;tE3xnFii5VtxnD}9)0%lrZrU+)bd`RkGrV(aJ{RIS=smABBzwkBYfKz_U z$(gZ2`;YL7b5^t8oYH{;a;(t&<9*|-R|5!KB+GaG`CXnVI@WiXwTPIAq2ok(zJ9XT zfDR?jY|#WvL$LGHM0v;}XAELt9_^)%5*BL!UxUn|{Z!t?v(FPNIR zgUZB-UuCUd^RT(GD(}nX-T0Yvgl={=1<)a^?xUL%9|nzX@9Y3N!q~E5Ga>848guF` zuyo-j&aFLj;q9>W7O=W^mihF47d!pXdG_|5sBEDSgCYwh0+d+bfnIQv{<$M6Ogk{G z!L$hwS^ExvKoiSjw*j#MBm$IJ0D+=+%rSi+HeFg12=N30^VVeJyI-9-p6Na3%sHSK z$73Ds@3_}hM24aPiW(@od~&Zl(F$#k#&h!lRxTj7atH}_+(>V71PK!=Ou#T(%|#K2J*8lk9#q8o|<|1M)Q zGY@-Ej2hZ5MDaHma0(R2W7#?A6uo%%b%8CP351zUn2Gfvh+rn%UnC!<6JWXmrbA%5 z1*UUwpR6k>xbnU&E+%8N3ia|_$@qMV$o!24=+$zBQ!qEWU{uPovp6FYo52hzQd7{0S-$YFBUat~6Wv{En!?!cIue{(xx{ zAhLEa_dFRJU^ydxS7yW=5+NCyPHZ~wJx2}(b=)Fr(;3t6W0jz`ki}WbZ93A4#TI(q zrsb}hYv&g#EL*Z35Sxu5hhGL_Ke3t&I=r9wK_EIDAYBI$9vORiybQz_#?@r-h4BU; zz9ItTp&e4byz+JZ^K26>6;0b%F4;NVz4+|~F`z_)5*LaBC|aPX@=3WX#V2U?Nv~nD z{a*CiZ}S=JL-}miHpey$YTF}dn9yM+0A?~^CI)7bd`QAzCJ%Pj64|=%00M)S*4;v* zC)%-_r_AwvP!k7s4;366+q?1!t7%0ZN+c*Tq3!2IhN37!El}tb!D$V)ot&c)1{L}7 zq&t%;9+;?LVuOhgCQcF{J4?V=f%~!qSP+}pU_t!K1jNiMs?QSe3!eLSIp9}^&FmL_ z_l@t{P8w!;$Z1-hUpgre2Z-tflf?U^X{1lWXP7>adr4my-`j@!fw6E#fiFjHVy zHw>{RnI@PigPA^F6rsJ@(qbtk%kflN<1i$p=barRAZ-wM&HfR z0)xir06qNDHcSLCalk|aNLf4QK&1O7K7+aqqYVKuphSZb7j#h6--gb@uThw$VFCb_ ztbK3VP8K^RjJdIhWeUs;fwREgm3CGrM1c}d`QFTS7I{P4OO}*DH5C08h2fPI{W`}6 z3>qaAEBq23Opq|4!UPNxHcap^lK?XzFq1=4WkX3FYX`qoQZKB}{3DVYLm!rK+BcTC zJm+$DX8ZGrjNvLAD7WoEXVr~NXQiwlHzV$_0Mic4t9oEieJ*QDJx8B&F4-88Jr?iE znqXSb_Cq{G6VIhpLTAS3#D_sepgEXEVVZ^s09dj7gESFZW16%MK^PTR8rQg7X%40i3JBRz>SA;a2| zw%;uC_M)MNBOPf;Lkx;6ln78_fiCY68bcQ)ji{m{E=+4MZ30Br19CY>$AFlZABSH_ zikmJ0F%tpu&@K<|UssPC&gbF==*#(N9w7`R29#(};zCgXZO;nRkLZKumDp$oG89*g z`7U03QLpdN4-*$mbTBc(L<$oxOw=&3!%P8*ll{yYC|c?gcTD7EpT9McZZuY^#nilo+PqdW%^yqNKx~T5~Xs!m5kgfF+Lht*wbG z8pk2&a%3n2P&AE|0ljsH2DTffWS-w%!I&94$MRu z1{#m12PyidLgj!%cR3}08BT)bOub9z;q1kM%VUB zW*qkL4IFDbbU%6+#6P)Y#&j=ea0*mso}C?``?yv7?IpACzBmct8@SKOg8Q;z)9T83 z5m1gtfbKr%z7PMritRi@0~*~&0%0Z-<|!61sP2R6KIoU0zK5@OpTn=F9EfLyMkDn9 zkNX^Y?EwRW>OK<)`vpC_d4CD_{SuWIH2gAwuy0p+ z+tJ`BuJsumir59;eX{-`25oN-vKJthUFYx$lzrx$m@udvqIO_fgK5*zAgl%Q=d78; zhkrvO0zZkpi%)0~<8NezFme8lSO9^l{`BqEy#jM$!k{A14oqt>Z30Bre!Zc9V~n@p z2v-cR?p{Km542XBwj932bgV*6EHQ6NymRW9j-x(}XsR6}zs0oQj}q&xru|e@Yjvvs z_D0ix3)6pltLeX`>Aw}ze8iX+EcR1v@#eNoC;|a2N0knl>T4E>m7lA}9u98-1rOBH zrs_aP_*F~XgcN%=!ihl9D6~df}q!5 zD29m>-^t2$YA(mtVDAN{1}+d}h&$#c72>TpVjdYc%b#hqB_;&g?afzj%oQMfcnXYth_Jr*SQCJ8qtmn zc%i5m)k~PlP%q1}`HZXc)a%{sIo=WNn%a*`>m1MbVM{3T81r0fjXlS4M%~AxW~NGE zs#XL8FwJ0EmSyw#u;k*vKjX+3wD#?rKm?#jK@o+vcNFH)1wJRb&queiKc|bI!^J2R z9U5U;hlv3u5}0^kqJoLdF!sp9+UPhuDy2)dJ9|s@PoHwjXv&p213bF zQdZ6v>SgIUsC1n`kS9x_q?3%e~e!fs;y1Z{+_D7m_pwoXhzQweeQN6ilJrPng zO*7BvZ;#E-qEn|c7PZRf*~=`tQ5>uf4%)ZI;j0m*-w9Wk~#DEeFN?ghw6f0=Rt~t6ae%Q8Y z0;VCD=3pB2Av$0JAfsd@qh=rZ78vbAnDiClP=ugJf*`*jK0{#EERoh2;xIL1OqN~f zY7&)bH(NzTbB=XZwpy4WgsMLJ6lAg-#7rnZ^tAC&D9aM=Uv1?b)rn@Lpoqrbbrl}5 zf-zOYGyu~Kre*24)y%{E(AQ6mnMn|oaQ|+P3?yZF_#g6_b?rB2&iJYgrcQq$X*yxq z1g34D=vbD2_1HAYdIq9EVr~lEzD3aYB0etlMOTR zFsNB7JLW)^n9Dg}0#>EOjN~lp@we(_SzF10ww)N$ZwrAC6iKW=(KMFN(H|j>h?+4b zE7{EseWveo{JZCru=qZrpWW7lb&RJF=5JzXzqcN7Wh{(*_U`L)REix&dw^NCK-Po& zwiWBy9<=KSj*tOhbr7ye#k$Gq)*l=;n+(|Ku-PzBz@TO@G`byt@XN%*bOA1s<@c3Z zKDwx3G^P)F_4(U+$S!VQ=6uSa5#L}JbpI6JSnAgxfIwu?8Wslb7#^sIA)LlJ@^i7}|K z5enbNlsrGoI<=WH#9?a2m@HkK#>#PxH<=T_lcT$*IK~lryJ;k`Y@LOA#G@<+MgnQG z`Z5kPdFb8dV&bFqBbEp`$&JYV@9!zj^vP%bme0OL92+(kI;%&I6*?T~vrz1K(5J$dwb+EEF-;x~z zxWKrMkqPuG(V0bFKUL^BI9D6;;&_HSb0CMbG|I|wVQL%hyw2T85Lv>Anb)|5hC zfLwRjC>oJ{g$plY1u}^BEA*mYOaB$gIdAPQyH$sheOP&uL-iznZF2IO(%_FTapc#Q z!a*0BoEytz?u)Av@NPbhQCzR5yy8U5=6E?EbhCb^%sXFDF#yF1u7|$a^*1CA5$fAJ z7}WPts6zwOM$XCVI*>Vc-avkRs%=X1UFU7Z3#`{N5E0U7+bhc%!;+5!eby~W85qvq z-o%tLXG_B_DTgAmu3ff%&`y)_Z)xaf-VCc9 zd>mU7TRyvt8~mlrzU?0P`x`XK`e%kt7}T7-u_bOjx#0lPGMiTq@Ujs4mcA?dYF&mx z7D@ytvG61mn`bq~?vzV&;!O(+{L&6gYcOq6?qub?!V4s|Hqe%7nP4q1eXq!?CeLhY zWqZ7h67}j#^_;|4t}^hx(A~^kWV80zKNXjcNTQD^ml*t!t7)-430YyQM)W8XJ*-u~ zC3iJjmh^QH3vdUOi zty_#)2@oa$=#b(-y}fvJqN z$o_*@?##SVx<1pky-m70)7IN1V&<7F*?Y%kPoCfHJ)3nLuBF&}+2;Oz4ruo8e=1XC$Y)i4dfG(!?)t?3Wz&8KXA&P}^3 z^8E)xk%A%$MV?%Proz5y_bu*;1A|(TH2~8Lre$6PC)h9@Nsqr!&C|%p9EWE5M?oO} zX{~qGL*C)}{@%Fv-!K8B1N^!ds(Ya)?&Trg4L4w!U(jJUu)Y#GF;Hr{%bkulns~v< z-W#5}tW)to)>)2jO!*ld5ijKk&X*(yfUo3^3+*r!6g>u2AY+Z>+;H} ztF@r*U3-mR_8GQ%NP-c=c_BtzPQ(uzDb>JKWivcbW&I*$DL(l~4E0E+`fMBG z!jak82Vu4iNM<|dhhn8st>F*o$0Cwgf!<&R5jA5>R?@P~HJW}}oO#%n$;z^hgOyxE zL2{d!>l^|54uAv)=glKvp^_{%T(- z&eLCXVi74QqEO_q0=;B~Fjd1e0IS{=O70Rq=J?vMPDS#%v2YcVnKF+1n6<0nahKY_ zaYPm_q@ajG`zzy3zJr_`Viv`WNZ`=`OfxuDmbug%cG>OMcFiRMpoE%ByX@qf%%wO8 zbcTSgBFvHs%NEhUN{cwE62%BXkwiT-JT{`9Fm)<|B*tW!FB;2yxoj)Om$3x719w#F z(?q0|$QN{``j1TIr}~dE9;v-wuNkNw$w&m(AKGTL-nPw94NPVF9@eVgmHndU>UBN~ zRC;P}n*kkCZx(Q8il(8q8M0hJ_4(|HH=G4`5qp zLD30CF%<1kOhB;%#TXQeAkRHddZg!=6XYh&n;xm~7&bW|hl$@XQsG04!%Pv(biqs= z%rwGGDa`c3Of^oCW$_HBjOA(1=_H`PvG$e(n8Bo@EG))%4{7XE6d=dVv(axI>L&S9 zR_OS;ffy#~?CS=N@pVIKL=0}5$II5nn#YSaMW6v#)jVeVrRgT-t#`A_rY(YqN@un# zP!tmDQgZDgG@xlBkZM`x=cir6nFi<^vK$4z^ak2Q(gIoDflh2{MQ!3ir^b-fm=Syv zeDRXpcI@%O-wSRa_5R!4i#IvOy|N32950J#TVMPRS!6G918SVL$}@4?pMB~~fYk$r zVPnFKZx+MSetiR~_PZNUkM_L*^<|afn-jPj;BNYGH;Qj!8s}y6;qTk`f6r5oUSid~ z>@4*4i9je4P{g3fLWvMh{5XZUIuAvWl#OpcYK5sArUjUGU|NG|lVr;9+xNuZpEy;} zn|Slly>ZDoQr4(~&;md#FhHYmRmq*c9u(v`!BAu@5qAZ6TsTNnP^kc>8kow!C`;dN zPkg(@x7)sNxB7M)#dI-!S9iJutPw z)Cp5F*kpliQC|#dk?k(aT3Afu!e%eaT4X1>VCUpI#sG_1K+Bqvi?H@`1VfPl6cmdL zS5{^*j9)5%sRpJp(8wY;J+@509Bs#qxlvghpU3HH9B~$=oiFZAUBeu4WBjX<_Ea}S z2E}>)rbF6HO>UG$d!**8k69z#o;w${e=}QdtmV5+cy*&!c?Kl_N+<}R`jY?=!1!fM z{Ye-KW#PyTF4d76Gcjt!il3{vI(CgCBbRoY*iBiEwk)}a9pa({3!D1=$p*sz-TTu~ zcNj2#HhH%y5#w&vQwbn6&VJ?acoUVfoNs08ODwEIGYN-h^Sw&KfuDyg5GaZB_LzpV zENmQvZVr|RVxa^YHJgdKMO2o)pwQP=2|jDKYG5kE&9dmsQhmMy z_mB)2z|8vmjTa4(neA-ii7{+q%Z!Hlax05gB27nUc9UgYn@xaIm)C8^c!3B^iceO%wwSc%fTe})rWc()(h^t8CWm3-$l7|^7ZgO#p`?374N3rj^fU` z9kTg9JRs7J1QdUu`G2rzAH^ROe~4Pg3c`uJiJ1{6ZWKSpS)yV&BO+V(?Fxw)weC~` zv02VJ>*7OvC(^EM@Pt@67n*5XpBP_bIGU29S{sl9Of-O$Md^M0^JNk6UjMW$dUcyE&!7ZA z3B@$jxCCe##xG;SjE_Q@d9c5;eC@yEKm3mWZTZ^YQ5^SoWaypcD~A{R_m zyMM3vd&J*cdgH1kCfd*CN8%hK2CVlrEbVl#j&_8_)v>1Hy~VzU)fW2-mc{=4Lx|tk zsnAlFihEOW514yX!5y?}zpuggcL(MuE|~iSb67K z(ceMz_i%0|+R97B+E5#@GjXjq@jZFAbp@@{zVW^CJ>O7|R7bK4xgGv+e!JrRomKNsew z2FgkGIea}A2{S%rUzSK#r$~H{89)-_8Ii1JHWhnT#P@lpN1W3&agK+F z;wc@y4F)n$1ffV9T26qh=Uv6T*|~F8wSl?awdELEOEB#za`}P}Q^(Y7?4wPPydjF= z3PM|s`Qr3N^a`G6$cP0js9m@$9sBXru^)#W`;jdEsAHMJpj+8w-o2w6Q^rX0)qMXMxU$&RJ;sAP|=;*xVE_DyB}5$)O6@JD4#M-c!e6ltirf^cNq zM}1;UnDOz6EEnWiQt#&|ZS8w*H7i2@xu4n+5J{}&X6P_#l(4Mjibpa2;~ zN0^YriWQjfU}wjCI8A)K#>-C9B*07v%;b<%nJ;CTRQG3aIW1tWCDVC=-PR-!$G-=* zgv63SeEoAJInEnQ&?YR@!NxXIC`dyjZag`P>x)DlBYjl zi@bt@_1h&5Wu(m^4Ak-nwOW`sm`Q}0P~0Fpb3@+x^iADRiY7Wy4*gsXmrIw}hH(27 zu)eh$OzJdi1Joj7;$Tpn0(JR7<||N^hG@92)KFWjyh!>AWSeIyTfFTm>hOL)wHu%E z*EIU_YK%YPbzfYG>+5JJVIV(-Qdcj_D`@_$B=V?mK4`$ndI{~8L#V%?N@_;@u+}}Z zRV>&IxF?O}B+)@*E8CPa_Y`AJ6LEv$A=Ix9&Nm{;EUsVtoOvO8cqtOn((u_W5CKXo zY})3BP2YXh$1kuZ0uvB=tieAUnko>V`>-5|8`EK%D!r60}+4VE4Ill#vap` zXy9`;&u)VND52)$&XI+}f%3%yX-t^$afvK5`-Lmlm$CYSe5F$_5C(0pvA5wu6pB1n zplKz>W8If^K2#}8)i4dfG=phbNedrvpl!%*`5q&3*|^B`t(<(nm!-!q`Lfuar=YmVv_eSWSfD|k2Y#d{yG{mM(3ezLhmCh@wX15rB)s0?bGD0A|~Kz4jtxQ0~b zWRyh`At;ilhYqRN+iHWU6Q*Xp4ZG*4#nu=f3bA!(_RNU%BQ%Qkjn=`?e$Q-CKob;o z(sp|mf1@3W2`Cnz7=yM0Xh#?A){R=mssLlU^)hN+!Latu7W`o(QUX^_7|?8?78+&b^(5Kw>lT_sT>oQ1F{^==sv7L zG5HU6pP$`s00D#Al$cbQ35J<$n2Cq!g5o0T&iDH%T~xngiasfNr=4SClZ8|?K$a^a zK#4_pfM)&XEYYbg-hS$?OQ?e7%C{_HIUI8C7D;d*lWkxeM#>L!S~W10fl=nJXhauV z#xmPQ!-V>omFx)|TOb8R6xt5Gd`?WCFAPP8q2&X=7=OgXzeb{6h^ZhgiU*A_t;56s z6A4T_Fi{zXUYH1B;v@mGcoBK>b-V3UT#=dcBI3LD{>kw`ywT5b_EXI6?`Q9yop{*0 z({CRgP0T~Y)VOmb&#?<~_Fh+)8zn4o#KOJMXcT9YU1rHF-Z;v4joB6HAVQIbf_IOw ziHGsam@wm;3$Ro;-NZWoe&(tb6eY9X9SnLCnNT>5R+exT5))>86w0F1_&5$DyPy#p z$ev7iX z*=!Z>c5L0IEKNHYoDvrX6^J$|HZs5JF}?z` zI5Cr7Q8LF8K7a&N#MRSrZsr%^0hR!OC5zd(fWOD++8@?|+2?H$_0 z3Iv!yV8Zd?S$0QHS3|!4R+!QAhBEL5ivZ5sx@pP zk4-2FZ?q`_BG_cWYSY=M-EP_@EcZ{p$#k?<#7h_RDOk=9?q_}`1=Yp9Ps%cT>^_k+ zdtycpNw=}eND|c2q&Ap3eTbx`36|}*!QKg&t2oHcG; zl<^B1Z4w6grCFH9VM2fj1STAqpkP9?@WFD(!1XtNzJ2au9Y-J(2`FMd8Fy&DL&uex zGa_P4-7qb{wBy4w-{p{@af3-cWQgK&{_Yn0rF?g5_I@pZKbqNUyV-d@AAC)t4Ne|M zRrPNqL|$IC%m*Ssk%kf#N_;3vplE`&XAUZlVrVOG?qLUtF(?+vB`B#APUcc{Al+oX zc_vPnXkpM8U0|7C;)j_E*zv4E~g#dA1#gnWub0Ww z<`ZD`@=Huxy@-RyP{N=HK#_tX3Pm22PQ#DKjFwKBj77Y#SF0-fO zVViyP7H7ht2tkpAA`ZRf@JzJD{2C0?nu2K%rdgQAVM2giI|LIqf4_g3Eqz_tyWxKy zd#GdXC|+UQ{TRytNLg!N1WyFP$FXM6D0eT5d0VdI(}aE5)8^|9K~Tb>2>GPv>qWfM zpaI0{fvF9qPMDfYA&+r{LQ%v=O3g`P&67DAu|OXKAL zntJ^V7WK9ODuAg5rZVu#(!-nBOImq2wn95$zO!GA?HBv_`T&Zdm(udtdJ#80%pcP@ zbzo4EScF3nf+9&=Xh4ng3yBuR20c7f8%&)rHS1wmjC>IF?{u;ouupKETjL4x*o5A0 z6G_crT9$c%=~$c{Po{Z+490RT)|5qFoFve^P#NlFUCLgvhaWfKj8aqD49hF>7|X7F z%$QS0J0iiL7F*3=TGpBNOkNa@o7P-2a;or{X^riOq-hMmG=phb)|ky9mppofELR|{ z%!HbCxrD(wV|ueJI@9 zbUZgYup{zq@saBa~PHaxvm5H{}sAQhX`_;^SU#jyVXh_DDp45(}`<1bb?H zz_2zK#pZK-KT@S67M$|K62xMly^oJ`pxS(PAV(~0LNmqBZZNM?{LJrmlliG`cbY%v zE8F6EJ>d)9sAD}FmO{dy2tbj7A__$w+fd6T8Z7-VeyI+oQkbe?8h~kraw&`Ah3tv5 zBjGts2ErW44}j9y#EsT(v0AVi3MMWyj$F|6EHxL)hcz zjp#)Nz0gZ~2~!#BWu6WfcuD4B#N)M@oC&Ty?%za(5+8~ZD4y}jklzQBtKYZF@H@2l zJ#qovgb5BNMA)eNugxeL2E&0`VeRVA*mzs(;}Ip#N1j$+#CKo!U@28yx!o4s!Zp1(Rl4ZS(JqQhiN zSHu3|=BQ$tIjv?gKdh&3s*nl8Li1Wi9ya2rf}#(KQYf0CsE1+$iXkZ0pk0gj#;RMA z-md3$sFo#`^`*&<-<8Tgq3gi zvZ`f#-ENkz%gtM%*$ojDN_;3vplI@W*~;iV51KLkCQmwun4??BD2E9VCQz7g4MVkF zh8-KEa!b@TC);RotO%3{Q0|rjD-^v~u-ayMBnb=}#e{eO(KO@J96DX@w{3#9xdbK0op#8Ba9~N+2*j%^}k*ZW`$jq4@m3kY!xOFl$cPWL(u_65fp6zfo7`XHE|Jp z!J#pR!!BW3H`QQ(i3BDdn5bZ4gNYC(P7)x?H=EO!jDZ&n-z^q#?7)7(vS*q3nt>rA{1V9Nz8VX)?Jx7g-NlAW~2;-9oSq@(Kmn1W;F?gP)QWu) zZ?EmrUA~l_5BYP9T90H#fPhEqqU)CLoVOB>4?zVJ8%%^SagqR8I(zviCj+|Gger~&$k~^@v$sInpH6^icwiEw+6$8ro70FcoDD>bg)>_a zHWB*O^5XMJ(fCZtKKIM@XH)hWJKrPToD_OxKZjOJeiK`&7oQ`0JwSm7P-0PHprK?r ziMjv%(s`}p-tC+)(;1;;8LKH}3c?nfSXPOBoTITK(D8KIdMJJ42VT*m29AP~rso?($w>pKk_@ z7lNfH&SXcq^z^2EskgS&1VIUhA_PT}L_qZeQNzl@L5q4|YJ;g0re@M2BRhZCFE`t5 z)aqr--j|V&HI@JrLGr%U*x#*5rK3Nt&L4oSk(jK`6|Dx7A51G99Z~g^==j4 zitbnMM7(;35}rW`@b8U96skf3R0!jjF=56>p)Bg`sy>*&J$2o|1S@M)On#Qp~|L3ez-9 z03=_QtfQthaf27P=ugJ;*i{*fqdi*jAW<>rZ$*5 zVQMBDWZ}Whk{&;&0XFeTM48I4I1mJF#|}P05@Y%5&)MNInu2KzVVK%r>hu?q7?Txa zoLZLccF&lvK+AH=LC!^3>X6h}w$Gboyqm+qSZp>RipJClt7gKYfO)jJSI{o$bXf4)`{4>@S-1JVgaxmyJzJg42l30DJY^)1%Ag81E#YeB01r1!gtn}?(8#{61gG3es5;nTvd}8hgG^VG|v-d==&Q%TU zbeGiTu*(^#IE-&!rrB(s2oQD5OF;wgA$HIZhhN5o86Ui|Xlu9i5Z8{f8{%$lYdxxT z>kyaoSbdA#dNfr#!J&9}_SR9{GqE_~HN+oI#Jl6Lj^YoBTgATLZ@DMamgE>11L%{< zxNQuI%l9QFnpk8KG;(0e@?maZ>d z?SUyH0})oJrzR=R;@xlSzD$R8ec3UQ_GR0AWn0oZW1%E%@~u#`$jRwh&#qcw;42XWz|TMNAjkJYzY1g%X+TmA;qw&i8@^DU-r%U$-&DrGsiC0D9h!pp{VsygG9 zH=OEH5x%-s&_ux+6O;)0w(cjd*fe*Et8a-6(ua$mXW=9j65=>wRafawn$CX4S9^rPk$9N0No@3))$ zc5ysENYpiV>G1YAQJslmDB68qTx9NI42nha7#bi)@|dvOTx3UNT8u!7V5SRZ>R_hP zFj5LLy)aX)Q(*t&$M61QRf^hkRKKqL)DE#!a1JW8K3`RngN0kHHOD{k^?9IHR23JnZn1#O$(k89bMfn%&G6spq8UIm9m|j%kQjkqsj4@u-d!$x zw=Cl2sK?wr+>XgN1mv%0azWtxf(DLx?d$Nhy#5$@?F;V}zkkfU{+L~>Y590tUW)=* zC=sBfk!THYe`v+xqVnF|QJ14`;E;fFLH5hPvu_!Bt7N zR0DE2l~9}t4W}++(=l=QWlWgy@t7=|UH)ocakpbS?I@6v4vf-yn9>Fau#PB z^S)c_=C-VKIA=rL7(4&bn}Yd+lHQww`NP?Sn0P*&g8AdX6e&vge?&sdp$0ZU1V9Om zY9He&gv|&T=`f~=%b8YL>@^F86ZaW3hgc%Jpc(zUa*mS|V8ntF6-s<4N}y0z0Vl=|v-o%i>Ud39u;V6(QpF-$&`+44$sJkr5Rsf{p~f8qEWQ;4R(>~l z1(uBx=&}V=J;fCb<8I3GcJ{h8l6VW8I$>(Ym@Hbrrk-tb%C4Jj@^XfKEId2g)Z~I{ zGkK2rpkrW^$@m1rS&-)_H%-h3m5rq)gjklC=lq0&J!G-|aiS#l5IOUb2bcAf_1#$8&>47PCk|5fehY@X6oA0#1HF%$MLXK8BgqXw_N7glPe$9Uta;sW$PT zEEcY}%Uil)a-Yreun-`DSP30J|+warAk*i$NrJPqwm8b6Y4P zL(!lQcClP_8xVbfA{bPUKm{opJR}9Ux1cq3Ph~~kxTu1n z4~kMKnxUwNVgrgH|L&cHV0&0TOn*xnb;=I=rjca8ObpBz2E%@{)XD!~4v9^y-z0tH$%rW;{86Q)aHIu@pT4a3PWT}_tA z{_l_9{r8Jm663Xh4|!s~?W%X&f44b929YriiexcxwqRY(2oqk8o*YTI3RM%MEbjnz zIDgU)Rl_0NNx7)n*lba4Rft=f|89M0ND>W%Lm4JR>2`^0=Nt7U#)Zdwi7k~#!_F6* zV&oy>L(Bw@+R9g#PM$d=8|UcV%Yk4G=W`9V z_(fD-Tx+Rg?FU6*R2@vE{u*mla?UJXyQcBlg`#ZG z3W69wp<4t*g=q(-wRkvW z`V}Rt$5Lc&w~4gY)-9yO()zaegfmI30>Fq0Wv|op&N6Y&12W;(S?nhuT<;PSW_)}i z%b{z%H{H~9`_hjo$&I<`!bR={JO;*ld%VFP_X0LCeOPL&V+&#d3z|wcr=EztFQ=Y} zeNtt2QTE1qg19L8!JEQ!y{f6@a!{sMdM^$LN9l;3)|hz0_;^B=%>uKc`NA-u(IQT; zN$E8{Cwim1L=N>Tvstj2a+aj=y|FGfI~G`NC99Ux)2F%0I*Qru^qs=^1Md~l(E4(* z^W}o_xvST*%~2zE>)FSQi-<02@9wh=-p$s}xkassT?1vbn9elmghLU6B1vXINh&sD zX9J91&`3Yh{8A@O&3HqWxu;)HL)0k8^}zJp%X!dUH)=d_Z%o7yxPImk`*_p6pfwU; zQ-v^;7*L`?iEH_a7g{vL)X14l(xRbAQmpi7lwX>L34nCUVy9)m;`Zhx%lMeM223|R zms5AL^5-kN14mRqyG;QYy8_bD;Tml)Xp9a4!Y|>#1O*cskY!m9^kg>vqj>`mWbhUg z6<2`7tPGMR=Qjg6Z!YX&XBVO7Lh0Oh*{a9k?hOJMgGR-Im2%5pxwzgdOg)tWSYIM( zxy`-mXpCmzR6SPI2~%^F+p zl86ISHB1AB9nWmYez}-F&zdW?MHahUq38wo8xRPKc=$k89DbPc1GVEW5E4Q+Cf-!5 z6Q*X2$zons4;^SyZm?#vgeVkwGC7;0vE&w;`dtGeAcEhu55 zkS^2*s)MN%c6QjULtL#znLRu%H*wq|?yqvzfXD_ErQ!k$@rwMHWf~pS07L=p}A^#sdqRF=?T0erW-w9hlZ& z+60I!y88}Dw1&O3-h>1^&rxQfsQ)57f+RYyWTklK%^lp@i-o?2MEbbbH^@M_a0AMH z8_@O|4_7IhvkQXJ6Fa40*o5jPsMSS#Flcn}-R&K&5pGchgL-kDtoY7Ti`$czd%jDI zk-MYC)D(2z35(zqon`hB6NZhHSrbql&>RB;)a19pqlkRnL*{}_>w;=ZUEnV(+fY7a z8g0{%K`-=@-bhRH2kO;%RDWLlY8R&Zcz?^4$PrgXl4h|WiTXUH1W}e}*nc~c01FQi z&~_Eazli`P7D<8*B`KO?Vj4zNn08=VgK3j=%1WK*{k%C0^cR^_%_5=M9vp!X3m{O9 zohDwJkKGJFAn5Q2M4OgdSPdjnIFzMhK#E@k5(#`0kk&B)q-h(U@CXhv=>x^}3KCs) zDTgjOrp43GsJ334QJk*+6|l^&a<2PZ@~aOkhKp!v+r)rXUijYZt}Iz+FNI%#&XRw; z_THBWm)-jy^Xrl?1ZmgW`|9M&K}N%kt^m1N$IB$z(vzHI^hH^mt}H0g&^vkQ>#^cq z5S#h3woyO$Zaq{>90BbQE}%h)dsZ)Pn;r>6p{#9n4|$ExKpqv1=tai*z8Y+JTD@U& zC0?}eV=o3yIBaLTYrS|Hvgbw`N)#yZphSj#bst|q#_Tgjz$!49@L+<32^IFXVL-fD zkF_>R|yQfm|5DBIMe_=*1!{QC{@W`&uyep}fi`pRw zN;niDD3aKOs)?vMGWM5xU}}S@6Q*X2$x62o#s(VeQF9ob4t1orm<9osO*J%L_+aVq z>2$WA$MGZkLtH3U<_kYPep~#bXC<=)cZ60 z=S7FtOy{`5?J&q=8mhv}rfpeg`?#zS>PTHi3t+^0hS^tCzclG)nUAlj@i~lB&C@)f z;V_?Ph1wtDE5?IP;h|0`m(Y|-2gI-$tx^n>|r-;l$Z30A=E!s104^hJo&+*FU%hKUlN{F-+3Tpw9 zsMr%6wcy!zBYvn}H8Mm{FUz{d1$}&kjGp}=rsWT&=1_)e)-uAO2tkp=3N);6m5|0_ ztO$+eU!)0BCrr&4lVx+ieBJoow?D)dx^mQxO$h-|LQxM5^_>5p`k0G@#tSE5C{#_( zZ}>4{J8N#?>285L791~tYkP;)yC%;4ra=#1+PWQ9@1TT035FsA3~0buy$cwtcl<(D z2df6AGSJA1)=FV)}AQ2W*3&Kc;vK0`OGBhpZbbb{)hz z!GH%$b-S~oS`a?fvGKicGIS^Sk?~`y`^f6jx1Fg!&U6k#?W&9OL-q&cXA)s8s8E`6%Rx(=8uW zaY)(P<)d{jA05_STu=kl@Pw4PN3EJwjE!a!Bjz#4hjsl)U~94aEbzo)?oi80VmYr)|A>r8yt5+yoM=;)00|CPtV@Vd8}yznM81>6A>buY7B>pu6(zBn!Oq zZJifyAJ+5XJg~DR42l30DJUL0IbT89B>!YrgJbyu0R0D z7w5|xAcOpCvL_q#^?X6`%bCHt&}9;B&Jchi1w|B!Jmnn<0?KV|0nrX85pVA=$TEGG)q^ZFpV zUW=7b^e-|{1fd)d2W4wCwB3BIB;RZT3yPI9SdQeh1k;`(w;eZ^!?1N0p}wbtM1ZE_ zj)*KV$izxF3@cFc#Q2sUSZSmAYoO%zRH}Zc%nqx^iaIrh=2BR5nnSae3Njy^7ZOoh zD;#ulfKxXFypx=numzd9GrOnJi2NXq6v{6Q&02$3F!YWTDayyF| zT47MrAvPbP7$#1A4l8XFgQCO!7i{+ZEsAw-6RU5fh(eJE9TbJc$^q^=2Dn7gN;mBC zrBnkxB!Z@4rPn$e+Kdcu9I80RS+7f*ux>Wf$<)f!2dx{|rEj*kMhuE9ln78_>DZ~= z6>($dEsS4K`zffcfEHldfoTl}os$AtPQ3QcrtCEdy6Md)Q688)3s|~~AK}WkwgM*W zbgZeP2gaH)lyj`P&V6!3jGNj|1`M%-(NRO(65RKAj)U|maZ4N2%+ITDk;5y5A`K;t zLd_KGdd=S$v;LpW z8OAYLvCH(^%@A&LQTQ8A2BvejbWLT7tcGsaMUb?7H)IC%PJTFSb165DV&sQ|J+;Zu z2~#u9m1WT&IG69oOxZJ*)161uyWp;xY`y%eeNi0M32>yKh?nNJN~ipaFhq z2Gg>9L)~%%pGA;)<9K<=N#XRHZBKhMptCnfq5{dj$82a+BSXZL!P=DZ=V-?C3}9^F zbe}86u&DuzIh-m_e3eyfuYcOpBMAicm>IeLK z8Hg<=cc!ZM)YCTru{8xqnOz!l$YlgQSHzy$Lwtn-y~PLF;qU6xfP77LhiZ2s(6QHv z9jb1HDre0dcH12%9Gf$T*qT^2m|58ff)eiE3*Cz(?t+H9c3I_ivEKw?9;ywdPJbb3 z@rPxn-mSHvYk!D~ZOf=9s{6o-x6fH$gbq!{?X!!E3EacTvbW6xE4acsKb0=3&BxW^ zb7|>5#uVg7M`%2S5(Fh2ijaTTZ5%>&vM|)E2c|ZdI$>(Y2eN3WKP{TrCAY1Ms%Nz193c4de{k;fQRylBWeVyaaKQ>hHqFb%*ogK1f* zDq;H1oKJa!@jrpE_)}=a1qc-NZvyfs5q9W+LG_5NG#A1uW#|Tn_*Q`Y%?Nx)&_MKM zuj^(KQ?IWv_4#V|$TKJbP(oEdiHTMM!qYJoU`%WpABD11=ynDovehB5TXIIXN)QkV zM|MSI`BPz*zfq0YKn9@D@WY5+!c=Atyx%uJ{ruB=W_+5T=)anu`0FPxGyOUK za>44S_nQ9cXHEa~Gk+5SN-UBA^*z4%$z`zSJO0Ce;(xmYR;f*8zHT)?t!DTB56#w5 zo~XIhPM;$HMXG*|MPiW%HRw1Pzf=WNDNNNc4U{mF8zLgT^RulM=^cN!pKLXEI^d49 z-}$xH-My!QH1FSWOvSo6tT@duuFK_#c;CMR7lBYDpol?{g%SZuEGSWZzA}qY0!0%P zbx?F#$l_RiZJ8z*xHSyZJWLQUp}+(L6BbNxhM^rMP?&IGf+qDcTd3x}|L%Y0AIA9= zNilIb$Jxe-F8LHT2%q(C=f*1&^AE5^=hRA7woDKkh)vbPjF5h|=h`3eSTe ziG!j%M*xZx6j3PhxB*IXgrOT?{8AlEr7%^)Gyu~K3717tOgIEgg^-vb8O{-VjCIXe`VrA45k{G%E)?|y>c_*7K;3|mOn$k z-ry;eASmJLFY_ff6v&5_MHaWX+Cn`%R2xj4Fg0ULmQMKKTtMxF5BzTD0xBnbz$YJ^ z3-}Pn-!zjCGpDW3BzQJ+jUe`EAr%R5OA-;F!~!lfYw3r$b9zvTn>I=nI9FofCvGa? z5ZykKsO3RkQ4&*~&BP5+P?7Xc^G!d*9bvT}oU3nl$yESju0HPw%fhgGOnsbC5Ejgu z$D!1V(%)7aYD*Y3MN0Z>BG3ni|?sn^k} zG1W^L3S}|ZnKygOWSuu|{`o*fwNO@h6QB2gAj|h3GGgP`d38ibA?+7>Rm50X@iV>V zF-9#DC&lV`2aNeGUlr$o_~a0F9;bCLrA;RUx?bwhJ}A1M*kWlfHO*d%h%v-EmB7-( zQPCuZSdZ>iZ63{ZBIy2!Lo8@o-*^RBi&pDiBG6s~)*N-mNB-Ugwu!sIn(5=jZnK$+ zFQ5g;=q(-TOzyFTl-8#fXd;MV;%hM!>)$uir&A@-T%Ib4hBB@MAp%N>g%W5K%IRkL z!2kEp%fqi>(<23%ve75o(g&U+1Vs{xIFvX(fA1DGVnb2klf$p5hfn5Rzv=k2kEBUA)CbIuR+$hKeUj4Es)0wMtW1oNZtVXLcu7RACOT7WR1gw02?dI zrv;;hJXSE?3i(38_)^Gi!H7oh>9HQXIdHS#>jrO6HfhliMU&>>?Qu~e{*GYVTDB2? zr+xq3w(un4??(JRBTi2v+Q<(?jF!}h(-Lu}U~SPMS35miS&ZXooF1M{U8`zl)0g#v z4@G0xJc~}Cd?b}gpBtH%o(FRG>5=?tAt-`bo69Mder%nvdQLy0z zc?=E#v^oaAgrU=K3VKY02C`XdKpP=!$bfR2TU}8lu?*}Xl83}+`$BYL}|>DW|brWN+_nG#8o&- zS{$WsOdcBFRKwh=k_xM%hA${a{bpy8-@Wl*;ZY#q0Y}XCp_5-wGwQ}OgkvTlJdy|G zU&C(RaJoGddE5lW*cEi<0;f;JOA!(9od@J+i>Mcwv&z~xnjzu0v~7VW0+d)FfZmKC z-cyK71Z@IDcFaWXQJ6hbh){l;BP=^af)X=gIS51t6h%<90TOyMNOO+^gRExafr%=j zKU*e62oom>ki~0jWMXzKm)&SL!r6tPaHMn-Mz+{v$g&IA`Q1?61-Qka{dTD80%D7S z9}w;0%fx23W6NT3X}nLD4?AtX2!aw0ZO`)5UC0MKrp_!}G4rM#9;ywdPMDg_MOc>P zFjlhS7Hei5(^}ZfnJ$f8w`tyRT&M4}G92{15q(=d^90XU`MCgJGpR&%MLTtX4#$wr}2L=DX05AFQJc0|aRJoo1jQ*Gi-@mQMKb zj)%rKzhRl2eRGnWG-(n|PMj5wrZa2WA#N6$&!@?W7h8sAd3Iwr*2pWXQTsVQvEu^C z=4q0PNHcG)&Ko6pN>T_iLFJ`0Gte(skdMTD&cuC=ehOh8s?9KT!qiMsWr1>j=jCIq z(_QIzv7o(xteJ~47W!kw-~p6(4>5|G*CSTrb)(f|90#iNMT|4%3y+44u4f+8fMwWY zr$Z35fAX!}5b^>isyPPZmwI4ogB_2XwNuhSV0*47FrLBIOE3qdL^N{!e_)!YMhnmA%8jIc<~HJzAeO;M1T?tFG3UStZu}@D2BU6tTK$L znT^pFPKK;Ufr2I20i$l3<1c0kBc{VEj^#@Q{Y7 z6Q*Vh9}JW~7$X*;`J>8@+SKu+s4?}i)QlPweviz~1fAx7^fkGi4bXjS*~Hqi6E`{s zm9QLR`UXW!{lManDsrk_7@2#zKy`Y8IJ)3;@yE_VYtcC?8%ww2hSNLl_eK(hW5&z` zmFaI-anF9pJ<($8o}3u&WrihT78AYDl4<+c<=2Opa+VB20S8TRF)q%{T~G@H)KVZT zsA8S&G}EH#x9Q3Dy@$%yd=}p$LQ$d@+7T{=!R{F*b4K?hn?A#)X~jqlF5ll!``W# z4qOSv3^bCn$!4oPk<;GP_#{V`+0EYIesW@Z`m_+%*0fJ7>_F4W+=UU{`%4UzUaZA0 zWwk<7gdz|V=)xhN)(Y3 zV=>CW0;aVitmB(9Ks251+09PeldTsnn^{L^*)E+U)IG$FJqm!BJ#h}i?ztQ`Hk2e4 zAto(H50PK9!gDeCZoVO^6@f(0^1Yy+u^#<>i)7Q78xPx^Uj-n6gQ$HN?u zanHI;#NFF;dx}Gp|KBZ&ZRxT|b}u%+TmGXo`eO6@BE*-qxK*JOUn(Ax!isY@mZg5V zs5fSXJaM|sSyddouyEaS;mYI>Mx0wV`NJ|>wmjeSga9a^ZP zs7HdzqEK%*({(a^o^WKyZ+{iQCe~Uv7G%Pp2teEGSak{VP$EHz>64Wd9n#5fKKbph z7V6*rDi9Ru9vHv02-B{3unrRgOe8Szz(nOk^uk0aLnjH4#Wb+$Ce!`mIgH;1-xh`_ zP~t&}3`GNwp;);Mvh9hsVIqKu111{13~RkiOS5?Ns}P%oA((<{uVlz(Pk==7`J){a z(V=6XsGLC--BWi{Luu{ADiWA@#EM#&*kI@1t)!P{pW}<87Jj^HZES@%@m)E={EZA0 zL1_O=tn{_5JQ^&|(IhuSj)D>ABk;pwt0kEBU|NM8Kg$y2ejjraP!HIXMP1+Y=1APe z(3>aO*gnKCG3s1Smc+P?h{tuKjfY7!W$&xF->_DMqDW7y4yhHeZ&@AMJkNX;!)UYd zG$|;5^At)DlyF1Ktb_9n$YTY`=m25-QV&dRFm)<|B<_;M>d=NZz>yQHEp9be?Iv~t zZ!|$D6cH$LP=ukxfVRWAe37*Fw5vl2vM#{KE%4~~%qW>4Q4SLYOe`=F!Hy$3dvG!O zuv;B6aie?YW3;zfdf6MenoVroD$DvdP=r7Uh9ZLtp(sSsYx89MQUOdgFqPpuSr)Zr zJ!-S4*|l^dw_{O@{>b6mGCs>hIo+T>>f;g%Ay9&$$bbu)xUy8W-_hs`)xcC{L!+dF z$&FCj&eXp*yu4cGngd3@=_DEwcUf&>msKw@dWu+>gSJZU`;I;;anP|j z$Dc~XyxrVqGsPy)%`@{}XK78@%o_hj42mq22vB0737V;o*P2c2BZb;bsT-yRn0EX{ zWSBN_i7e*#jIw#QedxP<3`R`AJzM9IzrnQAaT>sNKQx>DJm1ncG5=p~HFs!40F+Qt z1`YLlkJvGe=n;S!ABD1aKYsTw1bT}W*RY*l&PPa;Nd1eD7Rt9JHYCJ>5)n#lpOm}f zthOkFqS5E&wIv&v{HW7Bxc#C&F=je!00eA0fDIEo%p|}}2+ZX8kVL`$QP=im<~x$f zSAYS3=@-JG2tkpw+{Jw$XQ>jo+FZu|8nXY_bB@!dAp`Zi7Eo4((a z9CKxlxYu6rI3=W^xB%**XgXCKM&J2nvf|f`bVWCQz7gVS*0#m%R(S$$Bsy z+4qQ!@G*3;qJReUsz+l;!_+x!%o9CO*LPYPb4a!>-=bt^Xca~tP006+#U?1EHHJ=D zbyi5Mg%QI?=Vfcu8upRLW*(PuqfJa}2B*qObF2#Pk)m2TnGBl=*1T|I(Im>6Ipfr-a3P{G6&58KaF-DD!%)_400#Uim= zIFN!O3Oy;h{roEEEF)_o!88EVOev6^?|c>?Uzz4n-woJDo|w>fNYtx*_^xZJ-+&H~ z;(>_@CN^00r4|XW3YG@K1eOGhmA+9AUQPj_%p_YYqR%)hp%=Y;Lpl&48J1;Pd(PBwk_Wu?G;X4ljgIxQL`qIW?2(D5=5d!+r+>Vqtl2vA}H1bP8TbT>pr1Zo}8 z8cdsHo2)BM1W~%wJX)I0k-V)U58@fFvt4_4p=Zk4YX7vqwSOu#(Qax@Bpq|sO?6qL zY1{pAhYZ*jO?AN4Sj8Gf03L0UHL@O%%VlH?$c1k6qALiV7%t1lh!! z-$=vb%#&ut(=9$*%>)7y4opxmp#fRe^`*qxe+g!b0WqOOhkg^}76tK$9JMg9!Oj!V zl}Qs2?a&(>p5PrmmTx@Y;@$!>mhp-He}4S#UoAuWe?Mamis{%tqY3*Mmm*%SFXx4! zVAHWP%P=aT=!K#j+Mg=U<5YZ(RVb#RG@;OJM>lJ&tV@w|NI7)zVhkH{Q}ma3BeE_Be9)J?lsGwN-xagLj~F|DK$D)^Wr&s%q&H!HK4t3d-$)g$6AiKb1> zB8FuzLojdqX5t{OuokbBy-A0_n>%zc6Yr@fHho#Vv^9q|a8~c8aMs1&-G0;)ALeGA z#JrerooyL7#F})OX0t#NCg$)TQv8i56nT7H4tn52h``)_91*!r95E9KrU95{aF;A5 zr&t||Z>5jmVpmGc{P@9iTo%a;Ud&xsCvrK7ST?KE57`9rM{oPYkUVjbf+7k<9{Psu z6By1U#>@{ENsV@4T8D|jhnK&0P^8*Ek*^ad^0JTFl9||?Zx~2%q`**Qq5T_0%o5^5 zQ36F1w4G&kz5&gc#+QTXFia3Ip}>x}k3_9SIS+*h6DUl$FhP^4vYee+OgFLCG?Z~R zX#_)&0TvV$XRvHOR0D(NN$YI+a6;4lx&1~V%1pEj$IT|aGN5;eWtnMbkQQ8vQ>K)w z!euK#2(-Oo$AwTN6Qh^wVBc~Lm8k}%GRrkAXS_JwB3qm~Bh8-nqznfy$fVx*4ty7j zy3j~FVJK8hHewsDVJ%fO7R`1#vfWOzKrKLaXw17$IKOawZYU0Q!~b7 zpeKcg)0V^?X9F!s%p}{A9C9BJ5&!6CO-k5k|AE-d&p}Zi9(S&p2vA}H7n=FYA(#V7 zVh5&;ew6IK5=%U>R6@aY>2O!?x3w+o_Szns8n@ZzAz+BNJ%raP^HXdiX96o6>u5db9=uRy`5u)tyFJpwS}llQXlK98ezotgyt+S(PH z=!UFW;)oli_26aAIW2aG)rqpd#4<||wB4qkU5ry+ zy02m^#%Q-$!~P@|nxWyBn`|P9Wh;s-a`|JuWy~D!wv2r=$IS1K?gsgoE!QXZ%vc0I z8Tg66K1IuQQnKTe(59TJYO08(fA)F0no9odUPlfI@|<8p|IGzns0k#FPKEJH1*Qc# zn94|!?0^3F-G5T1xo4<8TW{DgG0EH-Hx)qc%|#+X+gFHeaV>`^f}#zIN@%;?!&q2= zVg`yWA!nA4KsGr7gb5QSSeTGu0*477W+GrF1!jU^Cd)8P!%QN~gyII-Uw-`VzoZ+c z8xDw{?cU%B2j=%>&uOlu=>oJs+rfs#AEi()&!Smt1#BOPmWEFam(c+RWLms#1lRxXuU zW%~#-fFwX{0tv(_v>+HH3}PfCKxkxyWJXwwwOU3XgFrf#g)rK%B{TlM|G)9_Wi8X) zW8u!OdtXG{`|tmM|9d0ihHOyD43#WV$rzRFQOP9Ln-tNprLY0U_FJ(O2gSJ)yNf6Y zU?_;+2uq0(7K|`QsZb=DO2VlmpGqdE-kPNxi-GO#cGus6oj4B8o!Ev?s{jTifGB}R z`R~m(+)QB~j8v4`za&#hIF;m6$pn?GP`y=an1AzPn1{LjdBs2{N_tX44CQZx80KMT z4}?^dia}zjegnj?@aCOj0e1HnbP76A(vuR?r2LI=iiHrvLO2B&Ig(hae}7I91LNWN z(_)7VjH9Q;j>kTq7CZE5F$Sh>pQr57rD)G__kpsp@iHH>q~rEVOf~4ZH9SOEfH40# zRB)W6nEb)wWtO%Y!qsC}K zNi%;JpLNit7bRUO-^`buAS-48R1hL!$pS8wM0f-#R)D6GEGmhkl0+&A^%~?-Ni^(O zg_wB~a!kx-$Ua~<%In<_d_Oh>k4MPN>-n;XQ!YA2QutsCQkb#l`|rhLcPF0fG%2KS z=t>~*q$%Lk)yam4iOY&?XtqNM10q&eR2&IF=4eMHFqpH7b;JZ;c9MJ}3}V}NP~I>1 zKg^Qp`zCPG1e8)oDIt_*&{nawT?i=?inl;XuK8)T^o1VEw@OdUrCE%!AKfL3>NlO5 zcu5&bH-|h2&A!)b`)<9swSPapP^Bn7T~g@_P)Z{Js={kDH19LL#24A6cUx9qEcW~ zij7L)Q7J-?V1r6=QXTJSsS*@0m13q+*i?#~O2Jc&eWD9>!Q4^tmbImvL7h;G!q_R| zbi||$mO?4qdpj{PrQ(QEk|`bL1O|931N1@cDts`(?tw&rEBx!8&^ow66gaqoXO~@t zqxswdO}gfD{9a%>yFjCZIh*?g>f8eHVs0UuUwfeWHJV>L+5DQ#uVwQa4>Z3)^BX6d z->~_OY`*wF^F^93o@~Bo^F^cH!S(BIjL;E(o!|cJHbywOE(6!;eLaeKI$n=`-w${O zU^l*;!7l<9B?9lBIxtb;G9_(L0VQI#4*|=HBLPqehDu;Mq%BoJd@8mhD?Voo8;03~ zO-YJ3sGM}4+PcSq;DA?WPyg6BCw(Z zsI5{NwDsT-e7^y5W$@6z_|^!49#KRpf?}|f|lM`OmBuPXoV`JMX9u` zIwhvG!hheoxPnI0u%&(d_R|ttQm02jT7Y#<@ z`~N7q6zu=MA_`9$z5gu#GC`#kP`ybp_>t$47*;TMw@_23Z`ppF><#0MTEOrdSXx5K zBy}4=Qvx41poGXz$2Oc%u|JCZQ>t9arjmFnS@0UzsALC?Tb*#2t!+bi_zPPNK-ODl zI7bLs0vII_{rwhPB^}Hs3ZMa@oJeqe_GT*B*aC?<#~LLD4oYzjmd61-Xni=^ya`|NiSqa3EVeF zoi@D3dx}()Av>y=S8Of2$kiqA-oNwB&2FLVK?8BMYkAv`Y=L;2FShM+6NzbM%*Y?M zYN@4}G?ye*pY68J$%M!O6(E#Aq68deH|5rDfKCYt%kHT;evj`OBsn=uhQESTp@Wr5 zI;o_VN}8#poJ#tsV*AobO5nr=X2rV+lmcLHfB& zNgLx;fOv>9#VPKIRA zl9J}pQu63XNpH`Wr$3zA0Zp8M2qGVNUqgCCOC@qDNr(A%iLdAdhpM z41jSHGgfB3F&#q^pNkJhRNPkg7@LZV7wTIsm+hcWwDWerXtQWq=dRB-4mKX#5gMul z^R819PbR>nL4F~AgL{~OI!VL{;9e~o#3)BPQqr3e5R?xrHF0Kmq;VXT1ueY}EV2|~ z_OV1FL1@&cD8ouX#*wsANimglQ;n?!al}%P3ZS$lrT!*wFm9DmXw97q$D>f(lV&Nw zTg_upD757B6MT*{1~Q%?eN+q1?fYazJOO)BgbI~jGQA%kSmts*d&-5AO-pXUc^Xi5 zqnXm?c~C&)v!Oyr<%T0=A|g;&6}0>xKTHbaK2r+)m=I5^WZd*Md=7!kIZ7^wanDgd zKe}tpy%4G$W4t6CG?hkJ&o0j%0|Z6(vn6X%804z_RIcb#&8kDD_-{QVE*s;ZK|<>YXvv zuC^a+IYMlex8XBtd}`G3emva*HQ+!d&`*Ur$LF2f_x8%#CEdqx%On?N@}3%^86|Bg z=|IWqB+R=;Dc3u>UnCSQ9@P0OCQE$YhNZaj)iJ%Qx34!M=6! z{!9vaZ)do)#>d-|o$2h};w3iX%!17X_7ws6h52~EC}O>DvB$>< zc4I9r2>U@umvqfp@|=^Qbr#4^V+8Qb@W$sz8;5uaLtHy{IVF zla&vO9c&%4zEUtB29e&(Viaee$yL55+rJekidkW)USe5G%gn*|Zj%@C&2ceMr4wJsMm|!04gwO8i z;GCu85+&EArfkvWP)d7*O8dCOLB)}9sDwr(Oe!IxWUEAGMjT`E!Oq3MKElT~4QDAN=e#Fg)CGlPZ8I_Ds$&QMo%J9JC<79Y9VQ_BOp&~=* zBbbl5M}Bkys>cVOa9{*K8hjoQv|#gz89K6ut4_eLF{e>PTv0@83X?XP{BrTj2+wqd z9RbKA?PQK7VWrC@_OUo}lDWtmVo`GyDsnkyFJ|(^7;|b|mS9ps2eFUNSXhbY)FX2YK@_Vs{o`7fLl(@?IS>XQrRDXR;DBgFjA6F0TRG_ zWlk==xl6oV9|;~TK$m(-skbt}PGtDnr)D6qsStK?r=-0s#X{#B;FQljdQnlj>}i!o zYlt7Wr7paW*^#;Iz}J?LS?u$4qWzYr+Z)4QJNlftKcARvZb3N@!HV zq!Kbhuo^>VuKVVY-3?@BwQmmD-9&abBHohU+w3Ib2QItMD&O^U!gu4%V!x=o6kk-n zyX0JHym>cI8f%^@LP8&xx6ntjK89`rx0K^ngfyd3YH4a z?MY=?3U^jvPo9pP^HV?sI&C!9n6N(tOR%i24nYfQsgn^s$T&d(xZVfS?2pTvLMVjR>KM$f+cONE_S&_WQx?i z=lq~g#PXSN~hDu;?Z51Zt)m#C8L-=4EUjct3EFcpy$gIYYg?GIXGl5L|%w56W95U?_ zWI33u@o+&VlWP%G%TjXsg7JmRl(Yd$&fo9SM^mCwaHD4wVlbfz;DzZLn{D`s^+W>7 zVJOE0hAWg@9>>9NT2s=6l75tQrUU{MP=fP~D4>a0l`Vj%q<~5~sH6rWtzv9RB4cUe z%~7aXv1|c7xyOP*^k4br3xkn+qJzlZ!V3wO01WM zqvdl2(0+H#+X28AB+>@dov?q+$`a4 ztdU5}K@xK?PK?b*#2h!5n1duHzVg(?Gn`f!F{Gcgm6 zUut7UAD|W5pyW3lDCvdPDdp(!$^v)}C-_J0TR`1wJ%_#pbQo^|EdcDwf-&@P5YL)) z?Tx?V&zc;%ymlDNYhyN%9k-P3c*of8qCBKB)-l!|B|knl){gED@G4)zDhS)f*)jouhbH^WqeH1oBA$^mbT~#~Ijw5fU-Z9vr5_P;A-)J}-?DC+G>p=Vp zesaEL%EcAR?%|{3wIBNgSFve_0ANlqR06|8tqku4ysr0#@Wr(nJgpkO-Utg#KoaQ( zRoKoz=NXqlXRl-YYp>jb(9{OLZaUt)OH{_1o1+ZO?0bj9!TMNxhi=Vn9gA_ls6!L} z!$|nU-rOo`upW4ZI%$W;ew~w!_0dU(x4_dL4p(o-H-Pz}LWU}bbCg`5*kaKEU#k~umH@yTy;kwD*@7z%KiYf3Z)L$wn&b{Xik9C zXt+elbxInEYFE>t1QKw=bf^OSRxCWxnj>LS2^nNoDfSKH^SJmt?qc+q2xC>)K)n&) zfIH;NpbvD^CA#!#tYf%@cPrxw255|LMUP|DuDUPpj&+Q|#?X)tz8&T#d%KPgezNz_ zPih_>f9uzdyqc$J-5wfz#yd)Sx7W^C$FQ&b_$(d!bd1lpKGXSee!diUBoHBuI zKS)Vt2vD~%Mu~~}VfprFCgw3c;i11^hZ)96cJfgV&g}^#=0S8H1Cq&MH^(u4-5!r$ zTH7do9ZSjh#dnCrxwaf1nm%+clDquGYXZT&dWerL(Mp`gKu{pb;eKZuC zw;zT>MIdx2-d*=e$3r>}*mW-6a^WE4AXS`~s&yqm3rd=Kriff~q8E~(gdhQhWMZcp zp>k5#RAQhKk0(d_9m#>H;h?pD5!S;*C?Kwaj1mwJAyXvw2cT7|cbCl`V@Q4kTSnDx zlgY6>?m;FZj~neA=_o8r=#UR#ylmzxAWnjjS&1s>V9|N4k4Xms&~_{?lWA6K2miUYL7I`Z*dKFLPB)h zNtwr%zK6x!ec+NSlw7t9$x|wM`lx0qMNTs+!B7bd30VbmTn!05NB|7)D4}?q4M;L~ z0<{vNZvtVIQ9{Q+a^AwZ{o@fTHj+FnPvt#0LbY7jk57d0Bao?m&QWrKlB=Mk3=Vnr zUJm2!7<+Qk{;*~hzU}D}njQ;MZ=n(8i2y~{M}dzxMRSk|8Dv&2q6GE)_UR#jJ)VaX z2x&;LQg5;nAAL09%?n$sUC+qrY>cN z`rvx>t*OT|El$!?N*Ysk+dbrPH|E-pVb?hWC>@9?jaHBSBvtwhUwX-?@(4z?tI;c5 zuuDq-KE$q3MKDwXLyT4(_@eNF||El1nAgXvoU%W(r#vOM{K2neCkNy#;=}xkz7108j#j5>TF* z(Srd>31lUnQ^dEzl~2t{9hEdvNhy`|Qc1NZK|>`6FlXf}?=aW#wo2}Fa4Xi)IXk8= zHAO2*no@R}dK_ntz)R&*gc)%&e={(Gff6*7;DTdH$dZoKV<-@Go&+D21X8I2s>iXa z-)(@Fic;mu5S46E$sCm|QpqS{u+mMAE?vFkM<0(aF?1eX;@73C6j$Sy57b=pp&42s z7D|58fs$UZKxx<($lBJ*+7_>2J*Ks6(}t3Ul(eR#OPujHo&DXt&IPH0MKo3%iGxZ^ z9s!0*tW@Hrl7cuHQji)rwbGZ5F8Ki5(FFgfFY&K?_-%~$4m>Y|8IR$+* z-aLMHbRO9}aNGRoDBR)bXl7%uwK220Z6Uuwl17xYgfdDbZ&ws&#gTBRghnMyDj}mBE9BAIblK6L zACEyLFwV8Kqn?rkgbNR19)mc7~W&U@PjCOaqEbKE_w zIo<~l2fK7Ui038jxHpV14DwUb%d9|cafy=alr*BGC2Ua223?gB6-UCM5*n2-se}wu zRx))zZ1O%fc^~4&ZSuZ0d4J3%HM09x=B^ko#x5F2=Ej;q60IPclHYWoq!&a|Dw+F( z*e0z*>g;oTtF-&xbGjds&$0c|vSYmNHQrG*bS661F?6Aw#(Q7A`@<6$wd)fYb(#C& zG7n-Lp1^3w6Bv&>K7?`Ch8?MP)Ec^-B<>$~4F7Z|iQVn@vrF}THgDeK)8$+H2Yly@ zmm_?BQ<=uYCzSl|cACx|l#FropzOY?ZhHVw0)-M#l)$6xKAxr-buWJ=%*>Z<14>Hp z>V9zxU8*oFD{M#-wI~Rsl3Xf@j-%1OWgN){mCR7d5|xZm$sUzVQpqZn3{%NAmCREq z0&LbQ%wV{$&5X;|Fw{LOGA7$tA@qR}zRycYxKGDf^DlmApyer3V<8tPxeCjaAhmI@ z9B;$fQ%bldB~$?H+eZ6;2qotRhUS4T@F;AtfG~)M`~|Y`I3NoGS$GVP1&F0@M~QnK zK9Z8_0=fPeAlC!P^$y75Iq-7 z;|X6o?)aduZJxj=wi6iLdhvcBdl2L135<3+f$_NGgBWw8$Ib#B7fxXG?*9E)ntKrA z!3m6ZJc04J;}}Nc^iO~E6JKhk`qLjJRR8ox`Spn}rRb7XFN4zx{m~RWiDdUi}0I1E#ChuQuOU|8)+A zJ9~Bg>+LT#|04&^UC#dxQ(x78$4_yzb+A)cf2;kg%@1?1yE#`^U*3LK^HB~CS!Ap} zKKX}wKQuYfyEZ>FsH#uYKUDqYDJF0PovQlZdmpdAn!O_}~WvJ@s zn@?6>!qMhnXRfOLuioFQznY_M*CVSh>3voGdpP2w;vD_c=EJouxh25ShkIXMe|T!5 zdQZRl$NleUzHN$0-a^}a-IY(g`cGl^`f}U+mC3K_|9*ZiZM6MwI`wn?ujBU`ZT|MD zFKfS^-`i_#|9?95Px^m=-}^gl{gbD^ee#>&=kogeWcADapKAVl4z8>YCVM|$|E=o# zIhegNJK6iv<}2zy&cWR5{AB&*&Hqt-GY9jFbCcCyu79lh6C7NhxjI?>x%x+{KgYq% znQN2PpQ!&#^?e)+_*_}_)%`!(e9vUXXSXJ&e)0UTOry4DX>NbA{)6p5Xug{Zyo=NP z>FHl+g|*BAS@W?|UlIpA3p{!8>mm91@8r_TmBHlXA3pz)Y3W=Yu1r>6HT9!?JKg5# ztJ8nJ{g=&maKI#T^5QR_`MRkW|13xAtPNHF?94}|)ZE7QU~=l8PyN~cAK_q=3G394 zocguCu=$?UWcxo)|DE=`IM^n4tG;ylBkdoBxZS&xy?=G~|C~|;JA6@~{-NoA(*8*f zcKOtG|IeKLrK#_y6^}+$zdHT1?YDDbj~(dyAD{YD{qN>rpLsz23#Wf@(k{HUK3RX) zxgR*CZ0@q7+__(y`icG@1l8cXRn*y85R2PgGyVwS}8Yi__IN)ZbZsCr693SLddyU#q^Z z`d*Is*7eGC_0#pot8bpFc)4R^y8hPQU#$PqWW|E(t?BB^`oFjNJ`VQz=2rEG`yXz8 z0PwfAkA~CL7q>s#{9}%m93Shi#MyqHhUR(Izv};T^KmXM4_V^C?ti`h8IFe67H6mH zuj+q8^K&#@;famvqrJaV|2Yn}*xR`Jx4lo+e~kkldOiE`_RD%7<=}|DH}I8@)qep9 ztehZ$U+R5hgDbKg!U|aP<4EV1Il9ee2-E#P(EEY<7deUz8&3T{y?oMb$s+{qy>Zg8${|<`;Yaxc(bl+Vm~I{ulMWzy4Wz zZEvm1*H1MBi`YJS`o$mX|6ud}PY8Y+0elgd#dWZ^FkO9Z`^y2IE%*@czwZ6M<{xos zhYVusd-~tk{16A|dAj=H-Y0^woekb>uRhlQ8?<95pQUAb{iFWhZ9c&fA6#3WuD=-S zf1GZv=1+fZ`)eoyR+Qln_x?fsleF7&kBaIK_Wn}+_qgOnS=ER8UmtqdcXhD$OTGV_ zhJfJGJuan!gH&gN-%F_$mzGX9U3(dDUNOzOMclm%QUEC;y`U zha9m@00#D>yfBWI5lk1lo25IqrmCOseWLkZ4pw-Ku=?@-clA8jSlgWHeM|3an;+$X ztq!J6{gK``HGhVKz5RPr#Ppx+eS`z^(CVvuA8v>NA)%J_g3G5c`xzk_L(!^ z+x*G;Uvh1Dw7+|1`Wt$`zxfr8);0&LXR4oV{$~Aa9GNSgX}`Jo`ud-9w6nXmd8Ybk z^HGCqZ*P<39WeZQ{R>=+y@aYCX@0Q&RgQ>-*H2YHTYX#g7nn!PUEVxARee$YMF#U` ze&uc+d=HOg+?<)6pPiY@6Mt)JVsfzjI{Sw0cPFZLZ|`7pxR=L&gxv5JTZFEc<8NfZ zU0UAFi@)zwHMzaHbHMYqdE(yzZux5bmnVMURCR_8)Ru;PcfuSs&;A5JhwR&npWiQtewruxSC)2mw^u#Si#OTy@1Ltq@g?fvj-Lw4Q$K!sVrrF7Chgtc zD)9aVFL3aO-$B?W6QW^}#+S2e zCmTFoUbwux#=JxF1{(?PqX=UA&Osjhbsk6C8DO>Kt9b^-TWKF`mgdtF)9j{s<0=+y$o(DfMeVoMnC;x7g#8g*%uT4zMm^*#&`fCGM z@V@Zig9k3nea7#rzVJVq;DO24{?pHxpQx_&p8Cw!UYMw^_uldHQ?E=^H+pB^{f>!h zvG>f=XP=v>ZuXvi@tGH$cf9)Qvoyced-^k9eaT1MpLyrgFZ=A^2jBI~EgzWrZFfHi zo|WF)?)$iIs-}N+L*Lv@G_r=+X>h)fG4e;x|3#VJ^jox#wT)0GH z*}Hu8x!*Lw!%WY8{$kuR0h0{MRmifeTTe z^ZMuiXD(4(7<|q%JXGJCeEtG=eS2rmPP$Te@tL!bey{h`s~72gzc=-+rzYz6>^If9 zsj50`s=9I&yQ%A{s%D#hk9xkTCi_)&&5KnvXd0`vrs_3SwHXK1R#P=KtBkWv>&1np zKGWK!vHxaM^=Z13{Xu1uqlQyebzwKOAEj7JU z5VhPilf9}MHoX>jD@}ijqt&LG=GsQ~1HJtU`a5~Fo7G-c`^_nv95l^^Q<4^}L7Kw2 zay8q`Hs|Z=ZB;eby#2ZJ@0G@9FTMQ*c|G&;vq9_AXR7LY3ShD6pF#jPn-{11uU5#c ze(gm`uVr&NnOsjnLZzf{Ho+Z&ya0D2VnZxYX_F$kgQVxEnU?1JO>=IVbo6R7X&VH1 zW>O-9=ORbcVN=AZaIfdJBGtvbc2m+=4!)WyL-RtLYtAX;`KEmuq5v}uQzI~w0=>~R z(;!@I8av!fRWB#dl|)!<1oC^Jm;;3!XS2s#GiAs5X7ULPkh#Tapj~TvXF0mw)T;AF z)01vw>JgMm(?E+;mcbe*gguWL*|eBZkpf^;Ri)P*7HqcwUAmJQ5Ddj%9enU478#j;%n;RLnn#5 zlL{ChvXp#lA9y{DIXx({;A%0ML&*Zal@_y<7PH)(k&R(f>u@V6e_USB>)BzWIc>kq zrg{2wMR1DXu#*bgg(WWTHO+ZUY(K9ZD1{RL3`!Bj?n~fAeQOi|#sxkiE%Zh-5-2Lp zXcQ-*$&+g-@7MFFc=leN44=@60nOYI0ZBJHwIfl(qg#2jl&mdhs2Vn>&l9RvlEc-s zu-nb)L|Do8>)CxhgE$C{iTml_M2(iPyG+zjiL=caofxg3N2J8m7GW^ASI!9d;;H(~EJr|bu7C78kkB8`?Xs(lQLxg$iO!J&*IM62cIoVpk`t#KX> z9ZE(V7Am5G!z3oEjbwC_&@32pYcofWisM1U02R)X11 zaR56t6|nCnLiiTw+Q@~YKMOiG#aShTNMJ=^wZcwqgMoUqoX&%Ls<)Af;@UB?dm3 z<5}$}GfXKEB?O9t=o0MS5=<2z9F3p>yhPc8A6pRrat4%PGvx@jl9^O-`i> z9M$!~~9S)kF5+W3|j5yn%kU9iyn?XANE&Kz=SjuXd@Wc@a)z@lT7APDy$eU8M(VZAC z6kO2Qv6DxHdXM&+GvdV|FB0AG9f>*2IC`Yd^N1mSnZ!)#myCO+!*H*JN8u?j;j>~Y zK8u$LZ7mT(lL&W{rM(moHmHD#WbcedlOTAmY3%_*Q!BC=O|isU9K$xaz6kg7=)fcH z8O^5iV9{C)?rBxr6T0oVoYE(br@CsD2f@<+VDcF#iq^K18PGcn?4^C7L%sA~(?7>r z#2#LveLk4|goMhtwVWayW;nmy^q$295S09)L*;D5gqWhPy{7f#e)Ht%mTZ}L^y-r% zx$T2dF%*mghA0kir7es?Pc#`er@TgRc8I*4f+7w|f62B_vN+P$6JkJL&p#nv~wS5_z8{N5uRoU)zN%iog$rD@Kjyh%Id(Xs&`74 zJ9D)XJbGer3mww;#VQE=zX^9Uchy% z6nUl+f(S{3h<-+>db01mvjHdhe?F+HD>#=XIk!$4MwVSj{}4gMP5@(G87e(HWnVBv zWU2eTiDr;7p{_*1->s}}TXnXMkw-WI^eqsk7rI%{l#!&>I&?#_JWjh>!hlo#57MOEojxx_aHyMwT;HyLCgJRI@=oW z4cx)2%QdsRy5iy!teI^jVRw?Sz1k(IdK2(Z@oT4M3Lt>!xfRh-02g}oi*ixDdZDh? zJKRA6Z9U$vr&W-{!vz2pvUkDl)nVN~&ySV5(gIc!zoZsr2}6|jedxFvmgHuW?EQx4W0?GxKdOJTL z(7)Xp9z@lDiXV5$OfaCM`g~nI2UCN(dXb+;HmP_eHT&F4O~Fj41W3y1FdOX^f$*kh z=#!l@gSVq&QCCFA;S8cMhCqC@GtLQyI3+F}-g>aCv4m6Tm&F(g%3UL$axtx|Z{hHE zAvVy#E-|F;*XP^j1E;CthEQ#><(nY$Z!~>NB>%-Y?+ytAk`=Z6q_G z2U^kbLK%t<=R3oXjZ`6B)7@fSB?5qw+^bm%s;h$>KY0l-7@)CY->=`@tFK}5`0;1I z8)xTyL8Q%hDd8?8OC2t3wVKX4Qbt@O&?Ey-Mr6UUU&Vk>oc6Lul=tdCk{Q02{4X$4dRsn^9asGG+`>O z&?AoQ*38Xp`%JHXmEjd~UVBEvyWl!Yy^88y;pbM$n*kNG3Ks%+3}aSAD2K6NsaT01 zI29wQtF|?+0}Q)_r>@rDQe8ar-AVgTRo}u7h86$tIII2oLfb$A4|49ja^Z_P1F7Fu z?cim@G^gG9>=5xNtSaGyB%sLs9#YSd5e+G)7|yrTD?rh!LE-QzlSn9?B|L~{xq^TL zMQ}a_)u&@X!ELJdJYDg)qGQuU^Sb`P8*R<{@-2~saDxb>CP1Prc(EA3z4{$wwWuDG zzNQKZkN&N87CouSAv6cv!=wnF1h@kv{{m8uvmS=is7MzT>%y`8~DUo;BGAkj#X`zLA8ziCb2qv5a-Lm^x;-iVkQs zgg=)dfL&ZD!$!Y&e5F=W(S_CRGjyw=AVhBSp#XGzIo2SvmTiN%VIXygi_=!Xn*@^9+A-upH=# zeFbI_-ReEv7NyZk_Z?Y&7^+hX|2mGAlgKjcma!d=7Xg!raQR}}#UsPf`@>(4zODUTgv=+rP6lfxlTJ1=6uG5stYg^h+`*oF;LLaVe% zu;5LdBumg}+bNc(!y&m%ULS7NEKy1Wi=sTjwTv!|2NzVR)G5bVXgZ7IV9VaM2p*z;#`i7gN1^t7iL|!a4CP(V8aWWaX zkX%Gx9G#`M(3FxZ2(b0Iid-);;K!Kv+C?uoSh2uN_+N;mz zT1DSQ3R7ao;*&|%da(uqTrdIgeFr%v(4v++9d6{J-mp>2VceVc;elT>K^}mqXNs0f zyeJwR&{?V&=H&ExR*P9}WCnvlByFLuBd-zpZ|5wY2~^K<2I1&01rCcnf?KXXZ?Z?g z0mAy{$$B`(ogBt?>nFraoOteu%j$S~_W2B(PhvA8p9;&rU515-goumbxEM>Ki9upD z<6_8rWVjmW{VHeO zeA88q7{6T`IheodQK+5sRecLzGu6g{aH?=1y=z|~MjGw&B=r!PjKWzsPNn(B3);o~MZ6>xX>oTf{#>GPR zkeGi204v(shp3Es2^r(!NkgnW?1;-Y(<;1NtODy!Jw+cVcF_(`v2^6}@NA#>?SXE79^iNX1Hc%@eDG<#OU~p4jwl3j1sgc~!$7ZY+Rgcx-!l1)MAk^F(Z3VpFud zRPm^n)$h#$ct9jOTAd2TvuHD*DOkpEtX4{ zo7aOLo@u_cNuIB`?r=%YFRzz2Gb`oC)s!&^Z%7?@f{Uh#>os?YgitlJ5`?asxy8~@ zbo|G=BBe*6XW?ozsG959qOe~zH|9{RJr)<>MO@jlYCgovGTOIv;%>aaFbHfXCC6jg z3QU9Z#$09I$Bj8bLElVK_gr#c7=XOl1sh;i2u>L+baJ|uEun`q!Q|>*VRBrR($7Q3HYE-c3jPy*yWMDoLesm#}`HF6qGhyKuGuWQF4$@y#L+M;mu?;CSB0L_2R zf+nrbt}T``i?cyIkkUkWyG2ORh*y#Pk@}179cA1R65dFEVJ%Aj=6u0&-#stqmrum5-IM z1I(~;5HWbvXD4mv@Ik7X^zM(khgx@T@5wQauyk7%=?DGxmvzbKx~J`Ly@uSpyk45I z>2wMZ6OxbMQaQ#^5ena7E6m3UxD4r64WBO-3)tw_@_cvchldM{P-V4TJ=?3_Cn--{ zezvKOs_Gq2gdn4UdB*geh^~n2uE13qqn^U%Jt^KGN;Y)CRR3sRbckHkP5hOmXaL*Mdv27xoONi-Id;v-E#Eo=9yil;}} zGrkCJyTFCYAdYt|>{!mkDKS{|G(i0~2 z95%<-cLQV5A+L*a$m?|D_LS~0NYf1li8>4~ftwfa@(1^K{1JW@^+@Q2<$bR4|896n zn46+sRU(q)mr$Y~vUJ*1@6K1%bLZ4@nA3(0dCD?ngaN*%lhR62e;2uABJ8d-*hyOP zi9$0ed!iz=5ObPpzv>xs6b312Z#Z`;=lmyM-Aw4xM zP%e3oF)!>6tc}`OwH+g_7p9KE8oj+*qQ_nXymxsn5hRs&m?dk#%bgucQzNJ0di zkMkMRK)cEX>>F00BMkg<5P(gEu)6S!Ny0F&h-{IP!pcC4s#*HP@282|jIn{e^M!P( z4A>V~{C5a&?cV?#kh*xVA2MyKLB%?=te<=0R8!rr>SxZG3x~@PHA0l?CRo}@trFLD zNeRIoOhapS@n-5Iwuqi5|INSNjzAQ zl3LIlO%4y`z*kZuOoWF(yhDP|^r8!TJbMm~OUyrT7{WcuP{o_GgQY?P<7}vnpzMr{ zpv(oEc9u8tof0UHB40H^?B%d_FWi}YryhC@L;91gh?7?gf{ozjnD+M z3@~xQ!Pl;v!^%a32sz#fiT-c`^21FtM!`6_r4u@YKFIVFuLG?))c^mZBlGX*|2 z*yu%Gk}~66)VY=L4D1F-+&2(+pY?dw5SiSf?IQl&kXbm0grYVqhDc^eVLeSFQAj$F z^P#0djOk6aQMsI_Dq2>Pc}$|>u7pq{iCafgENIy~Eb~spg0vUe=u~Q=8kR=)3=+|N zKSn%M6y3G-0!Ln?1}OwD`x)k#EwQdw;%LOM$iJXjWNwEbPb;Rd61@|?*HJ;NEAf;& z(Ak5X?4x0qG;R)5D|y2`)SzeirR!*s^hf#|D7P}H+MIhm1wa(bcEx0slZ+PWJCG}0 zKOPuv13X+al*KxcL2r^gu<11_gZKXN8dmZT60`pL4U9>R;4h~3H)3Kugrq(3_Cg5QTWiSi(lC{}A;@JJRRliIZSr|GauGVb z?JR&msDxHCw4kW7EEb1LJ#$t^4e*3j7oNHMobooWip&Pf5n30g+0Z<&u}?^1-(w;d zwv@>-HrS20kY}*VK|=gN?e4J4ielkH%; z3{MzZ@Qr|CR4UV;QI=Hr0HB_D&-sXofl?<`Q~kRkKVko<8d^ReZi1zYrKEq`uR9crjtq;Ra$cxk6a|jPPbTe?jO$p^qh2vY@ zwdw%k37EH#BJjHKyhkvPB!R)e*L`q}jdazcl7B2`22FmX-I#=g2gl;sh%v+xjt>-X zBKc)9hvXQdgMhu_nMJ+ZgACj#EDg5GiH9T?*W}xCNjvFENOqrPaVTEbiMhMZ4Ro(F z9Cjn?X7MdogJhbaH*8{4Z&!Jlf1~s=6mOzbA#CN!SIu3u>U_geGdwicLS<%uB6^Ld#2t#rxR|g&3A6-1U{%JRCaECuzFj;K~I5;l@<-0Sn}ZZ zOiG2g5Z6moni-iHjd!*dWVRz`8KtYYq1K?c0Lxeq z2EUsbty7y=CX8TS^H8qPYtx(%rqNljxn}7y;^|z)sm~Kloi9pDp@Cc|%-BT-J9)Pw z;|{QjNvIj;gvAm%yWCm~a_XUA=T_+x08CmTOKinTg~xMlyH{%Z7Sm zKPwq8H5CT-&I?LCV5eO}U9lTh`Qp50A`>~CfaK_j?^1Y4BLmV=~Sw|Tr z%~4b)|FPEX2~*$@mf3uST~vqjijZ$0gl0tyMn8~}hO{>d0})3?*;Pc(m@pwnr)Nj$ z8ZM>9tgVFUoM*+zEC$38}G1fQmyvjL)q>3}xdh5m2^b>pV2 zq0G_%BM5Gsys3=+J7Wg$TQWX1PS}H0K~72!YXHm_atY8Ul&|1Vd$l zwM*LMf(BlfY=%<788^TJH&guZNsVYXT|k)5u)DkTX6=D&iLmKfQV1iAO<62sgvtU@ z#{!2Dg@?OGN$YWr&#N`RDU9h0KK}ze34t-yUtE1bSW~RY$G!OHo*2s@w^{j10gp5l zhmxk4c4w7rOm1Cgq>eb1!+j^>9H>GL%o9}wIh0SiWY#L9;f$D>Gi@z0=RyRC zoX3R2hbVGtPlK@J(Q1wm;(FSlhhY&QA}pgY&!>sejCjzk+2!hSF24i-QVv)|2PV)( zY5{5$o^;)A$&sNY8pbNi2y_Grte7}HQK^YaF+%xZtE=8!z7CpFKOs!@ z=K@GzCg}+#BBz(6ZrV*0%yfw%LWkf6K&S_^Q7zj>0qrMeHSF6rcd7W)Oo+>nUz)fk zBGu(K2-pWPxkjhqegGjdse9xjaK43@SWNkXOa;;+>%DcRrP|Mtmm;uix-#K%&%LEC zqO9(h$?IrAmCfX;#s$@wpDBSIEEb&cq(pGU$H^s=JqKrqw?Xi27n!7dw8RWj+f?uA zM|G*sq~z&|>T>^ux1WF4L^ad@?DxL#TPN5|{9CL4{Ifqo!>j$@^4F?wt=N`qw*S9W zw|~d)so8a{|5Mcu*8isZ7hIq3FMnJ85BMZiwb1{aUs=7r#@=iF|KPv=LV#TFFMh%2 zeJ*>i^`HN(p9%2A{?+%s@EL5r)?fVm8=pT>eW-u>gKUmA=>P5NiPOIVtXuv6>O1Ox zSZ%To8~A_stsmsva{rH2f3y1I)sOId*#E25&sQI*ev#iR{onre_1~%1*^{mR!QcHm zUT06X{^$I+|HTLW2JV+szw1BzPTIWQfBIw9S5#~Rx88r}%THfnW48XxKMuc`i<-}$FFx6|MI>FOJ+FXQK({_M9`d$6(FU-~TzM{Lv9 z|KaLus-?fjwf+7dsym4RG{?A?FI0-EA4QZR|pUI0?GwD0hiVoOfEoqEyNr(& z()u_SC8^9hC>jBNtl_Pd@ZZ={eGleC+ykNQ`yt4-x-dnv3D z3!fK3?IN7M_(WCBw5Oi{_LcVi=T2V{@#$;t7x7b1oPJ)+FTV8jYob2&e)j)ZXirJc zwYGPf>Uw*=-+M~k_ntw`i|wR>xY?dnc^_))^N4jR?P58lyMjDW-m1o`S%zXaTT)N< z&p@1XzXR!1h>XXp>bXm4P?y`MKq9r1&x7$w`_ie&_ekxj51^jewmlnSn&v@QXq|F% zmxcDU8`fQGC(q+M*V~3?kRdhp;aF^A|CO6l0_CNExTeLfhL>T}q^Z0j9E~-)zq)AY9`tWTRm576BFXNQM{g>uWPf4JIz8 ztL^#IQx`=%WssO_d$Ks+ddmdF;c&zl$++I~I&#Dq77Rfw3J^yVv^K^*>hfB_PaN?m zbiww1GuiP9%Z?C!m8gW#%(f)uq7O`jIIk@v``6NH330NBi%HB$7hBfT*!u5MhMt+k zcqKa$K2OoHginA98^4vPk>AGAVx9~ovPmGpz&2M}AE^rs;i*7V3V_k?N8vYsj@&;) zjA%08GNiDNAha2UMr!Xl!dxY$0}ZuH)Lcg6`L=H~Cc@Z(k;!YQUA{r#5dqSpn;Far z(RyBy@P}s8vS8T$c#D*xez~}#nNQRMs8L}v83nJjy(h3fLUmFT(QmGuJ{`8u*F7{VP_|HFfc?JS$5lZ_Zrr=_uBKH z{cf=Ax948OkPq6vyDHsnV}q^3Y|HSh@a`p+`)%%GSkyd|gBYSXgDeREQi-;eGojy( zgeZv}v^?|TaMZ}bQu}P%BPuVq{a2rr*^m=bS5EA0U)WQl?11kP>QXV=X;&!bN$hGj z-C{3CcOsT};ld7g(F+|IQ9XigRk$=FxYmQvojn+C!sdFzN)Rp#>yS1$n)4_PVed@w#)WQIw zT3+vl z4!|)WCzCO_5v-oXY6lrJZ?)`MBIOYt(T4qo?eo)G(n?!vNvlcYS_b*`Hl$OuvfZ9C z1YuU{e-{DJf3NioCX6b!ay!T|k}NF)c_d<}L;oH^w~`;lo(PY#>3mS?HA6Qf4%%mW z%`3{fdN-r#Qko;OKGTM*pM2pw+vk#+y^P3KTi&!&*xtWH)-fOEc!;(ofzDckBU!Pkpz^8p!q?aGS_a`yCRz4mhG;$2T`X+h{A*ywZAa&uj~ zt1p~o!$(;2@JbpbAzLdhA$yR+?^1i(ah`GL2`Z9IrLdAgZmoT?ZLo!nv<2kNHM}{@ zcQ>}gf}B(8nN0FYh=m%{kJa~NTq>d^X4|x0g)J};cx~8v=Ly8zcT$9b z={8n}GmwTmj-YiFya{b^L2hq{Z3a{NLzA(N^ih5>1sUCIpPK5UE?m>(2NK0}S36^; zNoZ3|=-ac5-&W8jfMNU0lV?%L?Y4Ra0Bh}8yOIw|F_>+Gqx5Plbf;}zLhJa8^z0_M z{nQHnBCA9Lfuj|}z#4WZfYGoX+XND~G*RqMFPLw8c4RU&bH=`(U#+JjjAN$JY=(O6#j*+joryS%+#4CA4pYS6q%JDd>QPBtM@|rO zB(|nFLpz|9Ra9mNcz1UHiq>Qxk-W@$of3WW z%FE%~&8sxtZeQp(uZ5YspBS;1s@%^QaX?B3ZtO#b?wK{ReJ0$x10oSr8W`7-%m}1& zZEHRb@45u(p4TALYS6M`$bd?edhu=2$36w<3Hn|kP!LH4M_5V$xh;{NeU4FQGXunS zruPij4n;VVdrjg+r~0r7$?pm;;`K+T=8e;o(fEwGCh9HRUL2PbRWXI)VS@~sOBgYf zFB<`o$FM#9G7*q~V-#YXQXbIA9wsO;y!myU2xG=-gbl?KzLl7u*ps-w6z}C=v)^7k zJIVCspgr|Yq8Dy=ntd_1p~Idd%Z%CGtsGj3=z8CBdq(1hIC>=I;l%_a2S#Fnp{e8t zxQ`yT(ej9c@;mbk8NpV2;o=#XVrC;#JM9Y>PUA*oaPQ;nZu@Lg<3D@t)9-!u6$N_k z-RR|@J;wvH*g#`-*s|LMQRS%Zy>y<j)=mp_y`8ivwwUWJVM>G-rLe8|2^P?3 z1~$qPV|?3Zw8e-H+G)3PMqrxlJ-v^ONFi05VpcA5c)D63AX$}wMC|t(b5|=eK`ZHp zHl!#t(kV}pPI+?JzC7KB4aB(cirmO)aD&9w+Lz8uVW7Cy``~dSO@v@z&+T?nh3~W% zrYA8|vXQrA)3}&&*k_=aoRg6!KSLwN0^UxrDW;^d#(U)UD7qdqFq-@^bx2Uwr}s%?+NXGfF-#Sn;5-C2Iula+9Q*Pj4F14*JLt$ zZIBUji1ZP_?e>)ROf;CrNVjqpPBf57aw_$NlW7%YWtI;`hamB_gdI@|SJx3n;tUBO zom6m0hpboJ7vX~cnWtWvGWKU5pjHgE`IU#xv^|!qIqq3m-q3xad7{@dZKyH zZ9dB74?apgIn6z(YI(Bn&SQLV7?yZ(Zc;i~j>~@Y)cnWykMj5?pE%>zMRh$7`O;z> z7A&_pv^5`+<#ffHpILA6F*OdWxyjs>c9JN>3;fylR#wAFZ~9cwd6p6KP%5i>n~$g= z6P}PvKzC-d@!X{B^F-{VPEzkdB`5rXG9cK(b`~~-7R}-2Y98LSVyn)}3H>I=h`8qK zx9Yg&gXzwiYrcpU;MeJHt~zIP-Z0PB8+`oC)|<5U*S3w>4n@I9e-OSySEU<-+LcIR zQ^D1ICCvl@7fG^)CQ9t6d-W>p@KdUzuV@ex2W;h&0I$1lURO7=$s%vbameR2iGb13 z?W~~JHuIA{;blj!p|P$b_1sMIgkWqV#_VAm6eFE<^yFefTNWDobIu4385Zq9h+UR# zisg*}Os59~=`AXRJ8l+OcFj}C7a zxF^r9?Pg<4Cs;=RGRFtAL!<@!W&ycXV3gC_yLQ6bp;h*ZQ128Pu^O-Lp6s;GhxI&t zfTTplce>$#{gkn$z*%&m#n22>3Bn4BIW1Uy#a=tKA)fJJ;jWDj0cj47GsPSVocWL^ zc2J1x;sZ(*&ERSpA6nG-wo-IE=~uU|PBQ7%>RcYGmx>XNB*`Vz2cb5)HHp!%Nrx4B zJIZ=xkf)cjLT@%gtX4$_e$P=zx9=ec@T{R$ncd3Me0R|2sDUhC-B`QcgbHP_6$TRV zNEig7fVBf&e+4FY6-r4F=Mq2I*#IPI+~4S^3gV#3Hit%8_6_2YA%us-)j(`#O>pGr z>|}F_wS>WBY`q3xg|Ly7Z#w7%@+nSS4)bTbm8+AuX!P_4-Y+9p40fEx3;-7{{xs7o zB9TXUq^c#FNYjn1N;sTFrJ^ZKjUUm5Q*4^q`8%hu6x;9%6S2*)iP%5g07m7}vB{RER`NrAji$*@z=2z1RmA3T0&IG{cnap0JwkPbjuMkZ z#l;&CDUxEg$518tT3QH}?_jftVcHZpMJ^tN{f{Ev%@U_ZJO{~zgC&Mw*~G$wu+78C z>NI0qH^yq$8`Ob^Dx{86m-PEx#^5#T5#cRAt-n^5IN zY)Z-DlR~47R)Z}?K+rY$VR(QhBLGLJ*QR9%($l#nQ&fehh-48!m3Sd>UA}@grFkch z_7xvyN^0OmB<_!5NFk{J>b1xsMotj1lO5AiSXa@pYCv%|MN%?_+&u!C)wNU@bf>~% zScH6Af=T?d#Z<0jk5TlF*ZDB60!{WuQizing(pk+BXY*st2(*V)Tj6{m*Ea-c+%$B zxWkGdL!m&1Rf+hxOaT+sh?<}uYHV6~TU2UctQI#Zdzy1n>8My-3uyLTcs@ z3Yw-RjOi#`L$~%{$(HMBs3pbNOO|kkXc}2V2w!L;!NxV*R@lW0a9d?SkRQiSR2CH> z&I&Tp?rB;ZnI0vPdQOvz1H8ku8QT2cP4Tt$!%=*M#CqB2*Dj}*%w z#k3X2tbiA^!kVX?&lP@ZkzKzfRI7}h;Jrda@pK4}hmi09F!04V-2id?}ExrseW z^0nwN6;R`1=~&F95WqNT6B!ATkrIh3+LqZOkmAtLinwYF-U@SZvAiB&OS+&#fJCEr zFE1BEAIUuieGFRo;SGS;NmZ{D8zEyALdjSQykfaIfeG*$>FW=BOc(|T)ScsxvLnX{ z8SbEW^NTw$uQik@4Z~ANrsSLZk#9y~CWA7DoAJShY_+MV$Wf4$Fp7E~^r*NNjG4?w z4?U{bpl~sM6QIZqW3-@A7^rPft0S`WCeMbUr%i*}oFd!C#gonuK6N||!diq^wCzQX zioMQ{ln*!}ZLzEZoh~Zr8sNnlkt-i|N8Z5Muubi@UIM(sdx@OPhQmfz4+NES7tw7?3)aGE z>z$wdqzwS1drk@StBAIookyM8S;#GwEY(FDuqc)o#011l zAxv6VHXrq3aZ6$y*Vrm7&xUsWC`cYg(#ZgNB{@ZratcdItY{GSJwlAaC6ferT(pwv zyy#I(j#H7cMpSXFYb>15G{hiD1df2%t!`}4+vu=E>~IFc23KN6Wjmr|Y%AOst0^P- zxF;VwWQO>H))tJQ~Uc z#d1S{0)(fB)bbp2&R9~S6`yLk9QJ#hID|#i7<&-lq%Ewx^e!_OEW^a7`1bKAWK$;e z9hJ#Rh_5KCvw7QqzbG_>%9xGZY`jnuA)hoV6va4(sA;T75ToprG`|=@nXo8vaYq}3 z8Zj}*wF_;&4E&UHfLEL`ckUOdS%g7D(CVuC;)6OW<6E`Zl= zZUoh7iUJHJBd%fr1q5e{r3?60$ytVhoiFoTF7lfxD!`5+Wi~H#MGz>)N1Bgxd2BhQ z&m31JAXw?FW0br_BZ-FQoNfrI$RzmnVgzFpZd~aCBgR|AXOE(e>zCo4!xG(&;fy3R zif+zGJX^$8@;s%-SsXZI8>0+T18iZ`F2x{%yfCiF;F;7qRVq$(ARs4EII=wYF6q&!Z={7=z&aiqhX_<6RNB}v9OgrcBAiS7c3;=FpcgoWUw zU9ZtJBGc`Jubc^hpSx5dA}e^DU_4-+CA^N<&sfWB8bxs>4a`QRrW?u#v(m2+#bPl@N+Odqqkg3&FP!;p=YgJx7u~Sp8!KY ziOCg-L}qrr)qOf0e{DoIy~hg+4w&|&JpwQ$vBp-xZKoP9p_KaKvut3sgL6UV^Zc>i zeaMR<>|}hCzcxDe15vwS&5GfDK3;YweX|xLk}3w^^Sd20H7U3H-jjpQox$+y_vcRk za|)-szqc03wRb}jzK&sEbY!i|Ve#vfJli0RhBg}mzU|!5-&mU9Q=;^}Jigz!f6%6k zUU$6OG(9-S)_S%a}Il#J46;jh4J`TO_b$dCw=lIMXdk^w~#O?Q?R4W9Eo?lbR7d z$cmTi9W1ezG!()TdPh*ty2)k!SnWPqn6PGNtvhq$Bk5b<^cBQ*!U1k{9(!cT?F8R8 zJ19p*wz^06KKZvwZ2S+8WMfDo(UaU)t+V|`^+CrAgxElF*e!6%0qS(lX20u3msp$p zMw4sRadqvPaV^{Fw|>}R~XvO50u$^lQGmBbmK30%ht}k%UeFs zK~4%|EX(hm`JHWy{+cG9H_+W+g%+U8U>x^m=ec~=Eidv1I;gFc4(>Ef+U-0LfWA(i zLspDPH9hE|9GAEtBi~#kd`5ieKTeYJ)&kwf%0QTo1rRZaM6hXUG3I!~Qq0 z_WLI0H!2#iyV^~g>`p7t7u}TY{B(VVWjyvdy3S-lLR;IrJn1##GWF?s2e%zl-X?^* z*ZkKz4&?riF!Dt=`Ja95)Mob|p!9!=;70%Z=s)lWS}3b`yFZzZ|6X!WZ2X0EUOsyQ z9K-&uUXEob`!~%njy9Y#b@UgyYRDPWakx0*RI+kO^{#wgS$y(Eu7r?7?`wW8OJhu;eUAOc+T zMSGYzzj0J$tKzTYiFpKGTwtJd?dWO1M-J`{+Tztr=0(FCR0=9~dH(nWbv)`O9|Noq zZD52I*$JJc+H#b1G6VD~oRZp5k`~6J_kHO|H?oNu@0&fD+*H`uYISjlZ&DkCRDI07 z=nYDHFS=!#rlVXM)QLvkNr4zfa9HJnIAwyas+B7Qe11NxXrhnhAF}#@%a2hnmo+@W z3?yrQudxbSu}Ok1KWfGn{jh_r?$5>}pkSxFu<>V@H$bL&?{}AG0_Z_E{q&Okf3z^Y z9j1THiyNLXOgmgfk!@t~?Op_bPHN@Y)hWPqx1l>OUUWY)Vu*Q+PV(0f4a9oUEn7pf zYVdmDLQ&7yY`hrEAiQ<0%e#kY#&?gDu?;oOP_x~!9MbUxl97n~9E!rhqXZF-_2bjV z36SbrY`$-@?H4GNF4D0|NjtVqsKO|sb}d#*9j~D3HB&A8_=0fe;;Eb7^!`_$5Ix{c zZ=j9%k@xYYgCB`WqEOC*VBt1fq3>oT9=~o13;OGS5#ZVQe#Yb2Sq&Ga8_DhT2AB}; zr$HO^+xGd{0|~QZl=v{5*s0)-R{HAEuu$V_xXnjW)gQIKHDQfkzWItJZsiMX6dY5-L%mh%~to` z!t|P?{Ozqz=F;+qgTLKSu%kDBP<;uRLfU2iIO;A<#~}XeZsD^_L79mm8n!GS3wQS$ z3MPSJsPASdL86Rmy~FsilFjZkD+l%ABSX`yABy8`?(LNAqW_$8BeNt0!ekw~<+r02 zxDyDmmYNgWJC^gAQL*k#)fmON+9c0~LoTD{ZVrt5U~l)v`+MX zSNQ{$8Gt@-_Rl?vc)Nw~JB;NlVcvfC^y>LPQ{?ac%`c%FnHyAN9ku}Mv3fXoVEfoJ z1CENTzxZIah1ih)U8|GNo!bo#cPp?NvRrS$|a1BtD4YT9g*0h zax=@Vv(@hUcyuo6mGHqwQzsgHZ#7#UgVmxDj1>=uH6Q$Cdr2&^ z;5ehV3sE>vBx>yYrn5RLfYl6)`@qhF?&N3ub=aNrl}5N|ffX(0Im3a7rudxYnGP*s zpQ-{sR?E`ojd$zaNsgS6`FROs$2mBXbMie}-RjtSs1UE5ImN58VbL`Z@38wzfWfY( z`+wPtSxtmf4Re9v2uM6G9RYJ~_Epnh+VR_vJBEoz9Zk~-T7Qifa}uC)%UB3j*VY)o`-Oj8?fqo-S2tHl+AVj#9tWsX^fLfgQ^dfm|<*o zvxX&XtC8}k7QB-^hh5&`MBHk;Xt1H2h|`q;_RwOEkVA4Rar@oP>0~Kf`uWYo9$8{H zNG5b`-f0>HBs-F_*0-5LGt9gs38opO3``4kjFN@fZy{pdkdAhQwzZD|RiX|PbTu>Rp<=Mj=k=*g*EcL#E1v}lwJGa_+=N*a+rbF)+{I%Kvyo=I(aq06w z{d-?r0w$sRDzFG!#1LSsksr{2d}*i%Xt(3`TQQlR1z+>yL3b6CRfzw7^yKRQz%}Uj z&!d0OAB;@>*rniSGus_Y%k#Lkj*3PBLDhp>*-A9ttFUURA3}Jr-klTe(a$Tfo2Vjz zoK>2As}@jm&|SLvKEoo*`-0$y!XNSIcK6B21wMDWb6?Z%ZnwZuu7af{3kGK( zdC=WI)%{YUKL6ME?>NeZ`$&OWmxflgt^-_;5JV2Hr7humA!)f|laBPpnkk~lLCQIu zWfO4iI;w|hcy&`jgI!px*o9ZHoxPTa;tdQH4my;Fp&fP?et9#Y>Fo0hNe(ZaoAG^( zc8LSlyN?&9+(~unE3R&~VUSy#h5x95%obm2A-7slc_dPEUb+psYL{N~jmvWS7CJeZ^vGib`RtLruXeLWxiL3k_-u zKtdHcxC6je9PL3j^MfeOK5)4l*kCLh*SlVx3Z^$!QUI_y#AgGSc@MQMjIHav>As$f zIfjs6bNmE(t#`o-2-9@|8v@N{O-(Q-apla-@Jn1R=Ky-E={vaQ6S3{l7XSdUnBAeU zvgZ3HmT#fVVgz-h{2GFzsoq3yJ^~^t!hT814jh#7-3s#21yy3-awUogB+h>e7Mc-4 zDnVbibC4R%L|}a9RqERZ2vvO`zzY{pHnq7#O-#^Oli%=bjt7PEVpX$Dko-zXi=PP(uob2q?7*MwoxKPXKibPxYpJy+^rM~zM3b# zsL-Oqj|!hF#yRZV9%=$JwtUU48hkQN=}KXTaJI4~nZkwvBpEIX-HclH9d*!;rXszs zcx5;_3E1GT95b8Qj-Wp6Drp4dGh`n&R3L+7{li3B$83tGTl!bUF}mXHbh<*7 zV%_RgS@%|n!_6rET5we?1*XzELb9*AcejEiSZJRG1uy%0RR&AI;6Ru+ZVon;EhuOV zJtZlqyk#Q_rMB`NVH0q_2VHKAV+m+%8G6K4H@Fme5>i!7sFblKnLfCHTgsi1bqbB> z{JGP|CY$D^_8$9X=~;M-)&$;A7qrKw$vGt_97K6)4K-iYQWt1S#^d%;b26+IOOGsm z&$AExl_GW0S5}IkkbeI)C}q>I%{Gd~^JmQmZV>I^{NQx!{uXs|b>@R#-MXsmGQr6+ z{z?efUggd_Cn20`bR>O6@?i{0pFjI6*0)=SEZrY~?Y?^0&sF$nL#OfgNUfNZw}OM_n^;z6;w z1H4DQ%$2Kfw~pVOTy>=9Z@vd#Y3UPcw$;*J_Z2HvB9cG)D$e0{QWr=xby@B3fq0X( z?%rpYNl(_hTYq{FeS6+5{0hz6=>9XoY>t9X z{TM>oOKk5~M>uv#K`|WUSj|%KGhpdcuA>~Xs5N7Rk{}<5p|I!on z>Hl&3fAa@ikT*mE4&SYc4!?v(fF_SoZ;J}VjDDkJ;*6d0THAOz`*n{&Ij%)mP zPgFl293P_1l2YLSiJ~)$3`72V@y@u;IGZ@i}NQ*L-9;2TxCEKguEn(@K0e5 zbNZPirEYZ22$|G#WW^wMKkQn8spPq+ASbzW1W0P;^RY89iClsh)cnR)D927C$EUP1$ zfkjcD(-7m90zC(WW^kF@KQ?*Ee(eMkiz+Yxf49jr^uJx-JSTK9hD5zYfk+%+OIMOc zlTgA}8CE?EC>%~;8B#-r*@&9@2fj#tPSO6WIN&hEker;$p5J{sxL5^k@RwH<@Mz_-h zFxX!Nj*>_sk)^K)8o{LZVGAp=rsJE^IQt4jq(ErVw|GO9rG z>{Y8crD7ueRCzEmCTZ^DXJ5161vg1TYwYDhHe3C1@JD$|R-su|PJkeZ+$hdfHUyK^ zg%?pbRCriNnU#~vluc+B;aiv>N^*D!j>bAQxr9b~aaHg2tAN;_LFE9LA6=Ni0%BcR z@Z)s1wwkib&IWe6OJ`@G6~VUn4be?%T>6=#{%rBH#n{jiSBM}S8I^Hw`oS4hyf#v_ zMn7+c1>9-5nHI&vp&L5einu85%5Vf{Xq13NHT*P12;KHWlJ=NWD6%sYh$qI(BgJts zZfkvII~7=OSk>c626{Dhm5_<6(sUopgKW0j|Wbo%-p0h7u1!7l`<1@sqg5C(HTon znAJtoFoVybi_WzC%IcY9wogXplDcY#T8@1k;k<3=?T!us86EP8hb>&pgYx4+s`hX`Z^Vl zd!LWS&wwn4h}qfhW_M1gVF~Vg=Ri)x!=ch+>T(Pu9CT!^Ve#uyt4YA+_fgr(c!=uT zs7IIiqnOL!y_j{)l9^n4r~A$6lYfXdzxa)0Rtk6N{OM~l`}(a*-~nE4<+|iTU4yGe zCtqXhGSvfO{1rFKKtqauRM=89R9v^yJ(-UG(jgxI1925-(VTUppM?T;2C6FP$&7|M zZpPz{tigDMoxD2#vrmX#Q0z|w4539`;SaD^kqpMj4cGwTn@cOmrhUz&Y-z%TSouMa z4K@MdhTAZ`IliC;rXek~XX^yLKJl6ws;(bFv}uFfNEmk>n5`R!-HnsSd2xd|_Rnub z5Dt+JWe3Z`NYjud`O}9Nh)6)s-=Gcn1reiwgIP1q^U9dN0?wIPmLH(7_S8oU%zDU5 z_-vxN-jR}^ktoFDoM_C#wru8Vll z@C18ljpjFsYuX6fVjV0lDFpjti&YB8O1_}RYI8|+>?*Y?MiIPKvhFZ;EXCi+Blr1h zSZSA72L)-10*r}NC$6nCIW{m?3Rbpwuo-2>Q z3WG&i?v9k(QiDjDd+f|go(&*vKMI%zCze(#Hs0OVZQgKzAAb1}7(@hl4QSi%K02{* zRq>B+a>HSFabmv4;+0P?CYs26H&QXj8>aVYUQb+BegMOh6XEKv|Che6R1D>pDlH))(C{ssQ6ZiWU6%eS718I!Ao##FVcG-Nh%jU<7%ai%BS= z$-^JI6Xu^(uBR2dwV*jP#o<@7WV5-r-Ot%)c`pbf^~5LID!L(jySPTtQZze0K?can zq8UcwW#bf%m>l91Fx8vmSdLA0R}y;>Pz=#Re#Qr=0<0N(cS3pa-_W2<0$3r`!gb<3 z+YK#{mW3??rkrR4{qYQEx~c-%8g#Y@A}B;=-W+O{Y_Ukuqgco5n3KhgVovo*6fUvP zpAT`U=<;KusCC?)x}=y;ZEuF<4q>Q8h2>TBX8obw>;>(pMun1Cc?OSaD2a+=cZ9i{ zk@i=x9$zCDSTxQDX8KL5d;)1|Ync_q+jm*eR^>fpyJ{d_NoG83BSIgKPp_+w3%8?> zQvnN1)?-u+W2-ycma|Q)UhdYaZZyRu*{Hd~kKaEw5t^EA6>-Dv{_MkLa# zcXYIDvsZs{9Yx;mK7DePOW?YF?{(KW%s%nS(zQ~fx2s2PH|4t9J^&!~QC}Y7;BMJ#YUXt6U$nCG{i=$T1dw43=J;Gw%5APE}Z^aIzGJj*;i`H z^e)UL304b$TN$^h&R%u!3pe>|yL)(I;di0yub~-n+Y%m1N?1v%RvvU;%uXyx*oQy= z;<{Wt?)D+jQ@Ol>YT)PqL%u@Dk?>C%h;?f934aY97*&gnwo*Bb+k8NsxleT;gX8T2 zrh)m9%tEUMgZ26B|C25_Th+m)3S5%r7%Y_@1xCecp|K_$f(MQZQTqgQ^_?rF8RjjB zW0>}F(4Dna*7bjI_G<8zqg5TrrS3R+G9^hD3w?(oJ8Uld0$wgJw221@jq-@_*q$|k&Y)* zM0YfxXh{-Aco?KJ6{)yn9TRM%#S(`dd%-^vdhw4Pa@LCp8#SwNS)tRG0}s_K!7^Q- zQEN8)PHSPZ$o?-LBu~727MD^E0&)3d$>l|DRY5bg3cR8pLt!UMj4mq=oQUy?1!upO z^B^{CN?6ew*&1d#e$8LI-EXg) z`>XKzpMKkr#G8kSzA7r$x7X;#pIF;HiZqsEG;QWj&<6Hbgbl>bW(dD`$^QUU580n2hblE-_jKk5$ZELo z8Er3lwA3H#>T+poeZ@3*BCA@W7hIN_pDZoGS9#M;oYlKaFVZcrq5=?h-pr~?!saLZ zMda`vH197mdSwOMq^@ct9*^Qz;sU9Q@qjnw&2tq@sWgpW?ZM-RqyvCR$E)2xO~*U7 z(fxO$e^z!${J8bmMZ64q1b%)?MGE4Br0UvX_v;hW z-wPb0Z+@+M(ZERj08|`NCQDFsnU1;2s@1_0p_Yo8*ZHV8DWPC(HFR%XyVr-(pYkG~ z7~5TJuN*juq9jDZWv8jRv)`S2F>&wBs(2!fweHrF>rb_jkN@P>ZJYY%uRqyv?8pBd zoX`oQK0|15DKn*%w5&bvbYGr6Nr9G(=#OE{UiZa`<8a~?Zv0vpA~YOyzgn35tsGhS zr$3P)r!BgWT4{?cMA8>~5UC`C2LcW`iX1>$Y@h;fLgK^&@ndmsqc5PLz!LlNkqUx< z8NY#QG-@84b-xV4PRK0$$iDj&(LOjcyCGjrn~tn@w=SI~EF#kTBLM~+`z(szeH z^pIqKF1#tfSV%CW=)8$b!K7+cSy-h>#W9>@3k(>3FgffT(joXRu_+@kl_YOCR61cA zlUV*Z?+`GfMoG+Hs%Iw1Pa07$&M!cI6stvlJmdI|pM`jKq$hVmi3Q}EH5p?6$b;!u zdvS+}UT-kI1e$AfJ*8`?wQF|bOVGCzCHVua@zJWQ458_16$R0^$sj~y;mWV-z^<$qMpWKOx z-zP-}9VK8`>qHRfFi(n9;0tdWG>A;tIBb;9I@yvxe$VG=#>f;Q`fc#y@dl>o(t~8w z?@At{1q70?$1MZw1kcURqB`n=Ew0)i;A{)vp5IcER<%T{v0LF^0s`9 z5wzuP{#w(qo|R}n!R+Cx`(%~N(^`r&FMmk~`n&3YnOs{!Z_FqlLfSxTFH!VXO7I6aFQXpJ!nr^m|L5Sq z&UkS6-(am2JWIB5Esk}gQ~-x&uhf{l%BI%1>S0ADTeYGeV#scrE8K+Z4*X#g*u2#a z;kC6x)J$HxGLQ%9Lp|RxUqfBDy3;Ot-R`bmJdJAabY~x4x7i!-pIvrr(_h?hXzwpf zi57{rjTXt!G)D?0%B@P_FQZw3Gni~YW7D2!p$%sAMwCc#8(pz-Tyu{Yq{W6Z$X9I) zQB44=iU45^pj2vHio>?RoIC;4+~zNqvdR>8>+6%@s_XZwAtoE;CUj-N*k*U(!fAxa zSqmRrU`%ArA5*#`Y8Dsc>xV~Q4Fbs^ESE9}pys%I1%z7-D4v5;B`%!_Ung$ZKy%by zMrhwP!omH)0+8n}4e-}ullo8*NKqOba<9@#10W)<>6lms>-qUjhXMklx-jD^e{ELP z6f^n~gr;Dr9O%=M2({CcRB?O$$N)8kns_cRLqrz?eAZo?7=vIT_pe2gngk%~2ae5; za%>d69oTlqd*Qg1%GIrpQTn~^%qM6S>T?dRFy2%a%iG8k%o3o20!oQQYH=ylFkBc7 zg`Tc?c$+xV$J)6@VWqeC%O?9N7Fv^n@Dxx&v;0~ZwZw@0S^!>=B8ElJKNk7sSJfK;{ZzselZunS?LKCtjl3uiT|lUeB3!W7kHIjTFVSQfA_ z0k)X_G%RAQ)?%1eK*~0}_;nObag?G_DRi`q-HSZm#xB?3<#8{rb$@>H_%~|DX!p<6 zjwr%L_vNVtG!*st`InA9k09X_Q*zRs?$)OlAEj>>`B5j4JPf{B?Z2f}$FOwx*R;s& z&VNlyn6H}peGANR^Y2r{qBvV)N&9ffd#GpoArlzc1|yVS;!_PD7|kO%@l2YKuDA~h zx#*eUpLS}R+4yJNvH7q!J6_~+BbM%R)K#ZlzLo}2qZkv79?z9{=Dk%C6Ss^=z*{R^l66ORy1{x73{i9C(P$P=?OwRt=vzRPYmIc^X|Wa`4YD9n!h%?KRvnd55a}aKeYwCH_~A>w>4iN z&DGp&Y>WDowNzDwP90hWS4NQZN@)-kuz613LBdRVUd3W@496;NFU7wJ;RfWQ*)NE^HzyUg9}s=|>`Y1~p7H0%e7lwOAWi zG0cxi1u;0d1XLKL9On%iRI-Hf7<|pCkUu&KMAtweG@z6w8pD(nMS)DlFz!}Z%gJBp zfXklPJE$_SH2U%x2F3Ac@1v9~Hb|(5tXykg806^4Is6!MjzU}LYO2K_arJ07PS`_Y zDym|wnRH@2&G6D1K1KOs>Zx9=visC!(`()3Yww|Xn6<%c9b15s8+s8kxZi}5ghIp- z+bj$1{lF$2H)bq73?bHmnYq!8g)qD=*F~TxapDU0e`a1IgFq{Mh^5lDi>p>#0E8E5 z_bh*utuwRfMbKV$ddPrZ0VYX6us&Z#yj}~>ke!=~Uv%K7Ea7$Dc9reibp{PXkZc@- zf`l`ELxKVnu}{Ldm8P)P0ec=|*D=A0@G-c?@0ox6xx>Ik%NK4;;U;Xtx9BP;s4EG|!b$?K>uH9B ziT;L$SxCa~o4;-Y1crb8L01DHpg}$oy=yB7k4?TK8ibNumn+U=_!R?d5)Uo&VY6mc z(=l&Y6yF1jN&^Nh74-C!^WYR_q?nYU!z*}FXn3EydwPWwulTfI5Gv7qZXxPKchOuw%7s+> z1AK+?)JzO87^aL#rW4lkBiaQQZ5Nb84*@J#-3$Zkysnt0xA}{0KuJwdRI6S4><`A) zeLDazbIhS9K72T+3~fcWHd<%K!6@DZ@2jdpcsO-z@&*>=du6AqWiBv<%m0NkqIb4j zY_`Vg*OK6{*tyV_Bj+6AONRI!6Z3?L(Fw|eh7InsGhV2(SE&(ua2%rHmAtY8)0M9m z&YuBIP*aa6BhK?GQDaRjH%A!7-bH_8Fbe2BHIBDSd&#W{U1_MzGjV5nYs$*sjh%k7 zn^?LTmTy_ksWDPcT;NrHbQo?9(4JIGFUOFMO@3G`o&+4H&8!0&uWBvcG;{zavY0+&Dfq z<+Xup?YE`-bm`4cpR@}r{F0m3Hn(RY^5psY{tTrVO*XcUTn0397fb7EYj?K|VS9Ib zrn6<$+z<4s^vd=x_ZZAJtX+J-vYq&ao!Y4$I7?2+f)XxX^7kz9pDv3O94?TD!N8lBo z!`0OViv8Bb~_mJ`+U-Os;gO69Z4^KCK7%oE+Jhk~1f3Ts)8RBU2 z@KM-~F2GUmc(lSV_8jU*lP5kQ34Ie!R~Ud|nM;G6J&XE{*;L}4qsg<^QOq$1ezps% z2q(X+J*X?|>WcS1UrqCq(T3kABlVOf*Wa{pKVNO+ZXdPlyAc_hFfXchU$=H%%+m#8 z-f9;%_p8sX`A)SNGEv~&JUg1~EaqN%J8aMF?r${J+gn5H9b=S5I#uBieE4F$-E*|c z)86y_Vu+iJLdvlzuLCS;Jc_7cc0N^shc*)4I?4z6itI}z!g+32kLYvhK}=&ZdX&X) z;}ttpsHlpM_xCM7sP